{
  "seq": [
    "M",
    "Q",
    "K",
    "E",
    "L",
    "G",
    "I",
    "V",
    "P",
    "S",
    "C",
    "P",
    "G",
    "M",
    "K",
    "S",
    "P",
    "R",
    "P",
    "H",
    "L",
    "L",
    "L",
    "P",
    "L",
    "L",
    "L",
    "L",
    "L",
    "L",
    "L",
    "L",
    "L",
    "G",
    "A",
    "G",
    "V",
    "P",
    "G",
    "A",
    "W",
    "G",
    "Q",
    "A",
    "G",
    "S",
    "L",
    "D",
    "L",
    "Q",
    "I",
    "D",
    "E",
    "E",
    "Q",
    "P",
    "A",
    "G",
    "T",
    "L",
    "I",
    "G",
    "D",
    "I",
    "S",
    "A",
    "G",
    "L",
    "P",
    "A",
    "G",
    "T",
    "A",
    "A",
    "P",
    "L",
    "M",
    "Y",
    "F",
    "I",
    "S",
    "A",
    "Q",
    "E",
    "G",
    "S",
    "G",
    "V",
    "G",
    "T",
    "D",
    "L",
    "A",
    "I",
    "D",
    "E",
    "H",
    "S",
    "G",
    "V",
    "V",
    "R",
    "T",
    "A",
    "R",
    "V",
    "L",
    "D",
    "R",
    "E",
    "Q",
    "R",
    "D",
    "R",
    "Y",
    "R",
    "F",
    "T",
    "A",
    "V",
    "T",
    "P",
    "D",
    "G",
    "A",
    "T",
    "V",
    "E",
    "V",
    "T",
    "V",
    "R",
    "V",
    "A",
    "D",
    "I",
    "N",
    "D",
    "H",
    "A",
    "P",
    "A",
    "F",
    "P",
    "Q",
    "A",
    "R",
    "A",
    "A",
    "L",
    "Q",
    "V",
    "P",
    "E",
    "H",
    "T",
    "A",
    "F",
    "G",
    "T",
    "R",
    "Y",
    "P",
    "L",
    "E",
    "P",
    "A",
    "R",
    "D",
    "A",
    "D",
    "A",
    "G",
    "R",
    "L",
    "G",
    "T",
    "Q",
    "G",
    "Y",
    "A",
    "L",
    "S",
    "G",
    "D",
    "G",
    "A",
    "G",
    "E",
    "T",
    "F",
    "R",
    "L",
    "E",
    "T",
    "R",
    "P",
    "G",
    "P",
    "D",
    "G",
    "T",
    "P",
    "V",
    "P",
    "E",
    "L",
    "V",
    "V",
    "T",
    "G",
    "E",
    "L",
    "D",
    "R",
    "E",
    "N",
    "R",
    "S",
    "H",
    "Y",
    "M",
    "L",
    "Q",
    "L",
    "E",
    "A",
    "Y",
    "D",
    "G",
    "G",
    "S",
    "P",
    "P",
    "R",
    "R",
    "A",
    "Q",
    "A",
    "L",
    "L",
    "D",
    "V",
    "T",
    "L",
    "L",
    "D",
    "I",
    "N",
    "D",
    "H",
    "A",
    "P",
    "A",
    "F",
    "N",
    "Q",
    "S",
    "R",
    "Y",
    "H",
    "A",
    "V",
    "V",
    "S",
    "E",
    "S",
    "L",
    "A",
    "P",
    "G",
    "S",
    "P",
    "V",
    "L",
    "Q",
    "V",
    "F",
    "A",
    "S",
    "D",
    "A",
    "D",
    "A",
    "G",
    "V",
    "N",
    "G",
    "A",
    "V",
    "T",
    "Y",
    "E",
    "I",
    "N",
    "R",
    "R",
    "Q",
    "S",
    "E",
    "G",
    "D",
    "G",
    "P",
    "F",
    "S",
    "I",
    "D",
    "A",
    "H",
    "T",
    "G",
    "L",
    "L",
    "Q",
    "L",
    "E",
    "R",
    "P",
    "L",
    "D",
    "F",
    "E",
    "Q",
    "R",
    "R",
    "V",
    "H",
    "E",
    "L",
    "V",
    "V",
    "Q",
    "A",
    "R",
    "D",
    "G",
    "G",
    "A",
    "H",
    "P",
    "E",
    "L",
    "G",
    "S",
    "A",
    "F",
    "V",
    "T",
    "V",
    "H",
    "V",
    "R",
    "D",
    "A",
    "N",
    "D",
    "N",
    "Q",
    "P",
    "S",
    "M",
    "T",
    "V",
    "I",
    "F",
    "L",
    "S",
    "A",
    "D",
    "G",
    "S",
    "P",
    "Q",
    "V",
    "S",
    "E",
    "A",
    "A",
    "P",
    "P",
    "G",
    "Q",
    "L",
    "V",
    "A",
    "R",
    "I",
    "S",
    "V",
    "S",
    "D",
    "P",
    "D",
    "D",
    "G",
    "D",
    "F",
    "A",
    "H",
    "V",
    "N",
    "V",
    "S",
    "L",
    "E",
    "G",
    "G",
    "E",
    "G",
    "H",
    "F",
    "A",
    "L",
    "S",
    "T",
    "Q",
    "D",
    "S",
    "V",
    "I",
    "Y",
    "L",
    "V",
    "C",
    "V",
    "A",
    "R",
    "R",
    "L",
    "D",
    "R",
    "E",
    "E",
    "R",
    "D",
    "A",
    "Y",
    "N",
    "L",
    "R",
    "V",
    "T",
    "A",
    "T",
    "D",
    "S",
    "G",
    "S",
    "P",
    "P",
    "L",
    "R",
    "A",
    "E",
    "A",
    "A",
    "F",
    "V",
    "L",
    "H",
    "V",
    "T",
    "D",
    "V",
    "N",
    "D",
    "N",
    "A",
    "P",
    "A",
    "F",
    "D",
    "R",
    "Q",
    "L",
    "Y",
    "R",
    "P",
    "E",
    "P",
    "L",
    "P",
    "E",
    "V",
    "A",
    "L",
    "P",
    "G",
    "S",
    "F",
    "V",
    "V",
    "R",
    "V",
    "T",
    "A",
    "R",
    "D",
    "P",
    "D",
    "Q",
    "G",
    "T",
    "N",
    "G",
    "Q",
    "V",
    "T",
    "Y",
    "S",
    "L",
    "A",
    "P",
    "G",
    "A",
    "H",
    "T",
    "H",
    "W",
    "F",
    "S",
    "I",
    "D",
    "P",
    "T",
    "S",
    "G",
    "I",
    "I",
    "T",
    "T",
    "A",
    "A",
    "S",
    "L",
    "D",
    "Y",
    "E",
    "L",
    "E",
    "P",
    "Q",
    "P",
    "Q",
    "L",
    "I",
    "V",
    "V",
    "A",
    "T",
    "D",
    "G",
    "G",
    "L",
    "P",
    "P",
    "L",
    "A",
    "S",
    "S",
    "A",
    "T",
    "V",
    "S",
    "V",
    "A",
    "L",
    "Q",
    "D",
    "V",
    "N",
    "D",
    "N",
    "E",
    "P",
    "Q",
    "F",
    "Q",
    "R",
    "T",
    "F",
    "Y",
    "N",
    "A",
    "S",
    "L",
    "P",
    "E",
    "G",
    "T",
    "Q",
    "P",
    "G",
    "T",
    "C",
    "F",
    "L",
    "Q",
    "V",
    "T",
    "A",
    "T",
    "D",
    "A",
    "D",
    "S",
    "G",
    "P",
    "F",
    "G",
    "L",
    "L",
    "S",
    "Y",
    "S",
    "L",
    "G",
    "A",
    "G",
    "L",
    "G",
    "S",
    "S",
    "G",
    "S",
    "P",
    "P",
    "F",
    "R",
    "I",
    "D",
    "A",
    "H",
    "S",
    "G",
    "D",
    "V",
    "C",
    "T",
    "T",
    "R",
    "T",
    "L",
    "D",
    "R",
    "D",
    "Q",
    "G",
    "P",
    "S",
    "S",
    "F",
    "D",
    "F",
    "T",
    "V",
    "T",
    "A",
    "V",
    "D",
    "G",
    "G",
    "G",
    "L",
    "K",
    "S",
    "M",
    "V",
    "Y",
    "V",
    "K",
    "V",
    "F",
    "L",
    "S",
    "D",
    "E",
    "N",
    "D",
    "N",
    "P",
    "P",
    "Q",
    "F",
    "Y",
    "P",
    "R",
    "E",
    "Y",
    "A",
    "A",
    "S",
    "I",
    "S",
    "A",
    "Q",
    "S",
    "P",
    "P",
    "G",
    "T",
    "A",
    "V",
    "L",
    "R",
    "L",
    "R",
    "A",
    "H",
    "D",
    "P",
    "D",
    "Q",
    "G",
    "S",
    "H",
    "G",
    "R",
    "L",
    "S",
    "Y",
    "H",
    "I",
    "L",
    "A",
    "G",
    "N",
    "S",
    "P",
    "P",
    "L",
    "F",
    "T",
    "L",
    "D",
    "E",
    "Q",
    "S",
    "G",
    "L",
    "L",
    "T",
    "V",
    "A",
    "W",
    "P",
    "L",
    "A",
    "R",
    "R",
    "A",
    "N",
    "S",
    "V",
    "V",
    "Q",
    "L",
    "E",
    "I",
    "G",
    "A",
    "E",
    "D",
    "G",
    "G",
    "G",
    "L",
    "Q",
    "A",
    "E",
    "P",
    "S",
    "A",
    "R",
    "V",
    "D",
    "I",
    "S",
    "I",
    "V",
    "P",
    "G",
    "T",
    "P",
    "T",
    "P",
    "P",
    "I",
    "F",
    "E",
    "Q",
    "L",
    "Q",
    "Y",
    "V",
    "F",
    "S",
    "V",
    "P",
    "E",
    "D",
    "V",
    "A",
    "P",
    "G",
    "T",
    "S",
    "V",
    "G",
    "I",
    "V",
    "Q",
    "A",
    "H",
    "N",
    "P",
    "P",
    "G",
    "R",
    "L",
    "A",
    "P",
    "V",
    "T",
    "L",
    "S",
    "L",
    "S",
    "G",
    "G",
    "D",
    "P",
    "R",
    "G",
    "L",
    "F",
    "S",
    "L",
    "D",
    "A",
    "V",
    "S",
    "G",
    "L",
    "L",
    "Q",
    "T",
    "L",
    "R",
    "P",
    "L",
    "D",
    "R",
    "E",
    "L",
    "L",
    "G",
    "P",
    "V",
    "L",
    "E",
    "L",
    "E",
    "V",
    "R",
    "A",
    "G",
    "S",
    "G",
    "V",
    "P",
    "P",
    "A",
    "F",
    "A",
    "V",
    "A",
    "R",
    "V",
    "R",
    "V",
    "L",
    "L",
    "D",
    "D",
    "V",
    "N",
    "D",
    "N",
    "S",
    "P",
    "A",
    "F",
    "P",
    "A",
    "P",
    "E",
    "D",
    "T",
    "V",
    "L",
    "L",
    "P",
    "P",
    "N",
    "T",
    "A",
    "P",
    "G",
    "T",
    "P",
    "I",
    "Y",
    "T",
    "L",
    "R",
    "A",
    "L",
    "D",
    "P",
    "D",
    "S",
    "G",
    "V",
    "N",
    "S",
    "R",
    "V",
    "T",
    "F",
    "T",
    "L",
    "L",
    "A",
    "G",
    "G",
    "G",
    "G",
    "A",
    "F",
    "T",
    "V",
    "D",
    "P",
    "T",
    "T",
    "G",
    "H",
    "V",
    "R",
    "L",
    "M",
    "R",
    "P",
    "L",
    "G",
    "P",
    "S",
    "G",
    "G",
    "P",
    "A",
    "H",
    "E",
    "L",
    "E",
    "L",
    "E",
    "A",
    "R",
    "D",
    "G",
    "G",
    "S",
    "P",
    "P",
    "R",
    "T",
    "S",
    "H",
    "F",
    "R",
    "L",
    "R",
    "V",
    "V",
    "V",
    "Q",
    "D",
    "V",
    "G",
    "T",
    "R",
    "G",
    "L",
    "A",
    "P",
    "R",
    "F",
    "N",
    "S",
    "P",
    "T",
    "Y",
    "R",
    "V",
    "D",
    "L",
    "P",
    "S",
    "G",
    "T",
    "T",
    "A",
    "G",
    "T",
    "Q",
    "V",
    "L",
    "Q",
    "V",
    "Q",
    "A",
    "Q",
    "A",
    "P",
    "D",
    "G",
    "G",
    "P",
    "I",
    "T",
    "Y",
    "H",
    "L",
    "A",
    "A",
    "E",
    "G",
    "A",
    "S",
    "S",
    "P",
    "F",
    "G",
    "L",
    "E",
    "P",
    "Q",
    "S",
    "G",
    "W",
    "L",
    "W",
    "V",
    "R",
    "A",
    "A",
    "L",
    "D",
    "R",
    "E",
    "A",
    "Q",
    "E",
    "L",
    "Y",
    "I",
    "L",
    "K",
    "V",
    "M",
    "A",
    "V",
    "S",
    "G",
    "S",
    "K",
    "A",
    "E",
    "L",
    "G",
    "Q",
    "Q",
    "T",
    "G",
    "T",
    "A",
    "T",
    "V",
    "R",
    "V",
    "S",
    "I",
    "L",
    "N",
    "Q",
    "N",
    "E",
    "H",
    "S",
    "P",
    "R",
    "L",
    "S",
    "E",
    "D",
    "P",
    "T",
    "F",
    "L",
    "A",
    "V",
    "A",
    "E",
    "N",
    "Q",
    "P",
    "P",
    "G",
    "T",
    "S",
    "V",
    "G",
    "R",
    "V",
    "F",
    "A",
    "T",
    "D",
    "R",
    "D",
    "S",
    "G",
    "P",
    "N",
    "G",
    "R",
    "L",
    "T",
    "Y",
    "S",
    "L",
    "Q",
    "Q",
    "L",
    "S",
    "E",
    "D",
    "S",
    "K",
    "A",
    "F",
    "R",
    "I",
    "H",
    "P",
    "Q",
    "T",
    "G",
    "E",
    "V",
    "T",
    "T",
    "L",
    "Q",
    "T",
    "L",
    "D",
    "R",
    "E",
    "Q",
    "Q",
    "S",
    "S",
    "Y",
    "Q",
    "L",
    "L",
    "V",
    "Q",
    "V",
    "Q",
    "D",
    "G",
    "G",
    "S",
    "P",
    "P",
    "R",
    "S",
    "T",
    "T",
    "G",
    "T",
    "V",
    "H",
    "V",
    "A",
    "V",
    "L",
    "D",
    "L",
    "N",
    "D",
    "N",
    "S",
    "P",
    "T",
    "F",
    "L",
    "Q",
    "A",
    "S",
    "G",
    "A",
    "A",
    "G",
    "G",
    "G",
    "L",
    "P",
    "I",
    "Q",
    "V",
    "P",
    "D",
    "R",
    "V",
    "P",
    "P",
    "G",
    "T",
    "L",
    "V",
    "T",
    "T",
    "L",
    "Q",
    "A",
    "K",
    "D",
    "P",
    "D",
    "E",
    "G",
    "E",
    "N",
    "G",
    "T",
    "I",
    "L",
    "Y",
    "T",
    "L",
    "T",
    "G",
    "P",
    "G",
    "S",
    "E",
    "L",
    "F",
    "S",
    "L",
    "H",
    "P",
    "H",
    "S",
    "G",
    "E",
    "L",
    "L",
    "T",
    "A",
    "A",
    "P",
    "L",
    "I",
    "R",
    "A",
    "E",
    "R",
    "P",
    "H",
    "Y",
    "V",
    "L",
    "T",
    "L",
    "S",
    "A",
    "H",
    "D",
    "Q",
    "G",
    "S",
    "P",
    "P",
    "R",
    "S",
    "A",
    "S",
    "L",
    "Q",
    "L",
    "L",
    "V",
    "Q",
    "V",
    "L",
    "P",
    "S",
    "A",
    "R",
    "L",
    "A",
    "E",
    "P",
    "P",
    "P",
    "D",
    "L",
    "A",
    "E",
    "R",
    "D",
    "P",
    "A",
    "A",
    "P",
    "V",
    "P",
    "V",
    "V",
    "L",
    "T",
    "V",
    "T",
    "A",
    "A",
    "E",
    "G",
    "L",
    "R",
    "P",
    "G",
    "S",
    "L",
    "L",
    "G",
    "S",
    "V",
    "A",
    "A",
    "P",
    "E",
    "P",
    "A",
    "G",
    "V",
    "G",
    "A",
    "L",
    "T",
    "Y",
    "T",
    "L",
    "V",
    "G",
    "G",
    "A",
    "D",
    "P",
    "E",
    "G",
    "T",
    "F",
    "A",
    "L",
    "D",
    "A",
    "A",
    "S",
    "G",
    "R",
    "L",
    "Y",
    "L",
    "A",
    "R",
    "P",
    "L",
    "D",
    "F",
    "E",
    "A",
    "G",
    "P",
    "P",
    "W",
    "R",
    "A",
    "L",
    "T",
    "V",
    "R",
    "A",
    "E",
    "G",
    "P",
    "G",
    "G",
    "A",
    "G",
    "A",
    "R",
    "L",
    "L",
    "R",
    "V",
    "Q",
    "V",
    "Q",
    "V",
    "Q",
    "D",
    "E",
    "N",
    "E",
    "H",
    "A",
    "P",
    "A",
    "F",
    "A",
    "R",
    "D",
    "P",
    "L",
    "A",
    "L",
    "A",
    "L",
    "P",
    "E",
    "N",
    "P",
    "E",
    "P",
    "G",
    "A",
    "A",
    "L",
    "Y",
    "T",
    "F",
    "R",
    "A",
    "S",
    "D",
    "A",
    "D",
    "G",
    "P",
    "G",
    "P",
    "N",
    "S",
    "D",
    "V",
    "R",
    "Y",
    "R",
    "L",
    "L",
    "R",
    "Q",
    "E",
    "P",
    "P",
    "V",
    "P",
    "A",
    "L",
    "R",
    "L",
    "D",
    "A",
    "R",
    "T",
    "G",
    "A",
    "L",
    "S",
    "A",
    "P",
    "R",
    "G",
    "L",
    "D",
    "R",
    "E",
    "T",
    "T",
    "P",
    "A",
    "L",
    "L",
    "L",
    "L",
    "V",
    "E",
    "A",
    "T",
    "D",
    "R",
    "P",
    "A",
    "N",
    "A",
    "S",
    "R",
    "R",
    "R",
    "A",
    "A",
    "R",
    "V",
    "S",
    "A",
    "R",
    "V",
    "F",
    "V",
    "T",
    "D",
    "E",
    "N",
    "D",
    "N",
    "A",
    "P",
    "V",
    "F",
    "A",
    "S",
    "P",
    "S",
    "R",
    "V",
    "R",
    "L",
    "P",
    "E",
    "D",
    "Q",
    "P",
    "P",
    "G",
    "P",
    "A",
    "A",
    "L",
    "H",
    "V",
    "V",
    "A",
    "R",
    "D",
    "P",
    "D",
    "L",
    "G",
    "E",
    "A",
    "A",
    "R",
    "V",
    "S",
    "Y",
    "R",
    "L",
    "A",
    "S",
    "G",
    "G",
    "D",
    "G",
    "H",
    "F",
    "R",
    "L",
    "H",
    "S",
    "S",
    "T",
    "G",
    "A",
    "L",
    "S",
    "V",
    "V",
    "R",
    "P",
    "L",
    "D",
    "R",
    "E",
    "Q",
    "R",
    "A",
    "E",
    "H",
    "V",
    "L",
    "T",
    "V",
    "V",
    "A",
    "S",
    "D",
    "H",
    "G",
    "S",
    "P",
    "P",
    "R",
    "S",
    "A",
    "T",
    "Q",
    "V",
    "L",
    "T",
    "V",
    "S",
    "V",
    "A",
    "D",
    "V",
    "N",
    "D",
    "E",
    "A",
    "P",
    "T",
    "F",
    "Q",
    "Q",
    "Q",
    "E",
    "Y",
    "S",
    "V",
    "L",
    "L",
    "R",
    "E",
    "N",
    "N",
    "P",
    "P",
    "G",
    "T",
    "S",
    "L",
    "L",
    "T",
    "L",
    "R",
    "A",
    "T",
    "D",
    "P",
    "D",
    "V",
    "G",
    "A",
    "N",
    "G",
    "Q",
    "V",
    "T",
    "Y",
    "G",
    "G",
    "V",
    "S",
    "S",
    "E",
    "S",
    "F",
    "S",
    "L",
    "D",
    "P",
    "D",
    "T",
    "G",
    "V",
    "L",
    "T",
    "T",
    "L",
    "R",
    "A",
    "L",
    "D",
    "R",
    "E",
    "E",
    "Q",
    "E",
    "E",
    "I",
    "N",
    "L",
    "T",
    "V",
    "Y",
    "A",
    "Q",
    "D",
    "R",
    "G",
    "S",
    "P",
    "P",
    "Q",
    "L",
    "T",
    "H",
    "V",
    "T",
    "V",
    "R",
    "V",
    "A",
    "V",
    "E",
    "D",
    "E",
    "N",
    "D",
    "H",
    "A",
    "P",
    "T",
    "F",
    "G",
    "S",
    "A",
    "H",
    "L",
    "S",
    "L",
    "E",
    "V",
    "P",
    "E",
    "G",
    "Q",
    "D",
    "P",
    "Q",
    "T",
    "L",
    "T",
    "M",
    "L",
    "R",
    "A",
    "S",
    "D",
    "P",
    "D",
    "V",
    "G",
    "A",
    "N",
    "G",
    "Q",
    "L",
    "Q",
    "Y",
    "R",
    "I",
    "L",
    "D",
    "G",
    "D",
    "P",
    "S",
    "G",
    "A",
    "F",
    "V",
    "L",
    "D",
    "L",
    "A",
    "S",
    "G",
    "E",
    "F",
    "G",
    "T",
    "M",
    "R",
    "P",
    "L",
    "D",
    "R",
    "E",
    "V",
    "E",
    "P",
    "A",
    "F",
    "Q",
    "L",
    "R",
    "I",
    "E",
    "A",
    "R",
    "D",
    "G",
    "G",
    "Q",
    "P",
    "A",
    "L",
    "S",
    "A",
    "T",
    "L",
    "L",
    "L",
    "T",
    "V",
    "T",
    "V",
    "L",
    "D",
    "A",
    "N",
    "D",
    "H",
    "A",
    "P",
    "A",
    "F",
    "P",
    "V",
    "P",
    "A",
    "Y",
    "S",
    "V",
    "E",
    "V",
    "P",
    "E",
    "D",
    "V",
    "P",
    "A",
    "G",
    "T",
    "L",
    "L",
    "L",
    "Q",
    "L",
    "Q",
    "A",
    "H",
    "D",
    "P",
    "D",
    "A",
    "G",
    "A",
    "N",
    "G",
    "H",
    "V",
    "T",
    "Y",
    "Y",
    "L",
    "G",
    "A",
    "G",
    "T",
    "A",
    "G",
    "A",
    "F",
    "L",
    "L",
    "E",
    "P",
    "S",
    "S",
    "G",
    "E",
    "L",
    "R",
    "T",
    "A",
    "A",
    "A",
    "L",
    "D",
    "R",
    "E",
    "Q",
    "C",
    "P",
    "S",
    "Y",
    "T",
    "F",
    "S",
    "V",
    "S",
    "A",
    "V",
    "D",
    "G",
    "A",
    "A",
    "A",
    "G",
    "P",
    "L",
    "S",
    "T",
    "T",
    "V",
    "S",
    "V",
    "T",
    "I",
    "T",
    "V",
    "R",
    "D",
    "V",
    "N",
    "D",
    "H",
    "A",
    "P",
    "T",
    "F",
    "P",
    "T",
    "S",
    "P",
    "L",
    "R",
    "L",
    "R",
    "L",
    "P",
    "R",
    "P",
    "G",
    "P",
    "S",
    "F",
    "S",
    "T",
    "P",
    "T",
    "L",
    "A",
    "L",
    "A",
    "T",
    "L",
    "R",
    "A",
    "E",
    "D",
    "R",
    "D",
    "A",
    "G",
    "A",
    "N",
    "A",
    "S",
    "I",
    "L",
    "Y",
    "R",
    "L",
    "A",
    "G",
    "T",
    "P",
    "P",
    "P",
    "G",
    "T",
    "T",
    "V",
    "D",
    "S",
    "Y",
    "T",
    "G",
    "E",
    "I",
    "R",
    "V",
    "A",
    "R",
    "S",
    "P",
    "V",
    "A",
    "L",
    "G",
    "P",
    "R",
    "D",
    "R",
    "V",
    "L",
    "F",
    "I",
    "V",
    "A",
    "T",
    "D",
    "L",
    "G",
    "R",
    "P",
    "A",
    "R",
    "S",
    "A",
    "T",
    "G",
    "V",
    "I",
    "I",
    "V",
    "G",
    "L",
    "Q",
    "G",
    "E",
    "A",
    "E",
    "R",
    "G",
    "P",
    "R",
    "F",
    "P",
    "R",
    "A",
    "S",
    "S",
    "E",
    "A",
    "T",
    "I",
    "R",
    "E",
    "N",
    "A",
    "P",
    "P",
    "G",
    "T",
    "P",
    "I",
    "V",
    "S",
    "P",
    "R",
    "A",
    "V",
    "H",
    "A",
    "G",
    "G",
    "T",
    "N",
    "G",
    "P",
    "I",
    "T",
    "Y",
    "S",
    "I",
    "L",
    "S",
    "G",
    "N",
    "E",
    "K",
    "G",
    "T",
    "F",
    "S",
    "I",
    "Q",
    "P",
    "S",
    "T",
    "G",
    "A",
    "I",
    "T",
    "V",
    "R",
    "S",
    "A",
    "E",
    "G",
    "L",
    "D",
    "F",
    "E",
    "V",
    "S",
    "P",
    "R",
    "L",
    "R",
    "L",
    "V",
    "L",
    "Q",
    "A",
    "E",
    "S",
    "G",
    "G",
    "A",
    "F",
    "A",
    "F",
    "T",
    "V",
    "L",
    "T",
    "L",
    "T",
    "L",
    "Q",
    "D",
    "A",
    "N",
    "D",
    "N",
    "A",
    "P",
    "R",
    "F",
    "L",
    "R",
    "P",
    "H",
    "Y",
    "V",
    "A",
    "F",
    "L",
    "P",
    "E",
    "S",
    "R",
    "P",
    "L",
    "E",
    "G",
    "P",
    "L",
    "L",
    "Q",
    "V",
    "E",
    "A",
    "D",
    "D",
    "L",
    "D",
    "Q",
    "G",
    "S",
    "G",
    "G",
    "Q",
    "I",
    "S",
    "Y",
    "S",
    "L",
    "A",
    "A",
    "S",
    "Q",
    "P",
    "A",
    "R",
    "G",
    "L",
    "F",
    "H",
    "V",
    "D",
    "P",
    "T",
    "T",
    "G",
    "T",
    "I",
    "T",
    "T",
    "T",
    "A",
    "I",
    "L",
    "D",
    "R",
    "E",
    "I",
    "W",
    "A",
    "E",
    "T",
    "R",
    "L",
    "V",
    "L",
    "M",
    "A",
    "T",
    "D",
    "R",
    "G",
    "S",
    "P",
    "A",
    "L",
    "V",
    "G",
    "S",
    "A",
    "T",
    "L",
    "T",
    "V",
    "M",
    "V",
    "I",
    "D",
    "T",
    "N",
    "D",
    "N",
    "R",
    "P",
    "T",
    "I",
    "P",
    "Q",
    "P",
    "W",
    "E",
    "L",
    "R",
    "V",
    "S",
    "E",
    "D",
    "A",
    "L",
    "L",
    "G",
    "S",
    "E",
    "I",
    "A",
    "Q",
    "V",
    "T",
    "G",
    "N",
    "D",
    "V",
    "D",
    "S",
    "G",
    "P",
    "V",
    "L",
    "W",
    "Y",
    "V",
    "L",
    "S",
    "P",
    "S",
    "G",
    "P",
    "Q",
    "D",
    "P",
    "F",
    "S",
    "V",
    "G",
    "R",
    "Y",
    "G",
    "G",
    "R",
    "V",
    "S",
    "L",
    "T",
    "G",
    "P",
    "L",
    "D",
    "F",
    "E",
    "Q",
    "C",
    "D",
    "R",
    "Y",
    "Q",
    "L",
    "Q",
    "L",
    "L",
    "A",
    "H",
    "D",
    "G",
    "P",
    "H",
    "E",
    "G",
    "R",
    "A",
    "N",
    "L",
    "T",
    "V",
    "L",
    "V",
    "E",
    "D",
    "V",
    "N",
    "D",
    "N",
    "A",
    "P",
    "A",
    "F",
    "S",
    "Q",
    "S",
    "L",
    "Y",
    "Q",
    "V",
    "M",
    "L",
    "L",
    "E",
    "H",
    "T",
    "P",
    "P",
    "G",
    "S",
    "A",
    "I",
    "L",
    "S",
    "V",
    "S",
    "A",
    "T",
    "D",
    "R",
    "D",
    "S",
    "G",
    "A",
    "N",
    "G",
    "H",
    "I",
    "S",
    "Y",
    "H",
    "L",
    "A",
    "S",
    "P",
    "A",
    "D",
    "G",
    "F",
    "S",
    "V",
    "D",
    "P",
    "N",
    "N",
    "G",
    "T",
    "L",
    "F",
    "T",
    "I",
    "V",
    "G",
    "T",
    "V",
    "A",
    "L",
    "G",
    "H",
    "D",
    "G",
    "S",
    "G",
    "A",
    "V",
    "D",
    "V",
    "V",
    "L",
    "E",
    "A",
    "R",
    "D",
    "H",
    "G",
    "A",
    "P",
    "G",
    "R",
    "A",
    "A",
    "R",
    "A",
    "T",
    "V",
    "H",
    "V",
    "Q",
    "L",
    "Q",
    "D",
    "Q",
    "N",
    "D",
    "H",
    "A",
    "P",
    "S",
    "F",
    "T",
    "L",
    "S",
    "H",
    "Y",
    "R",
    "V",
    "A",
    "V",
    "T",
    "E",
    "D",
    "L",
    "P",
    "P",
    "G",
    "S",
    "T",
    "L",
    "L",
    "T",
    "L",
    "E",
    "A",
    "T",
    "D",
    "A",
    "D",
    "G",
    "S",
    "R",
    "S",
    "H",
    "A",
    "A",
    "V",
    "D",
    "Y",
    "S",
    "I",
    "I",
    "S",
    "G",
    "N",
    "W",
    "G",
    "R",
    "V",
    "F",
    "Q",
    "L",
    "E",
    "P",
    "R",
    "L",
    "A",
    "E",
    "A",
    "G",
    "E",
    "S",
    "A",
    "G",
    "P",
    "G",
    "P",
    "R",
    "A",
    "L",
    "G",
    "C",
    "L",
    "V",
    "L",
    "L",
    "E",
    "P",
    "L",
    "D",
    "F",
    "E",
    "S",
    "L",
    "T",
    "Q",
    "Y",
    "N",
    "L",
    "T",
    "V",
    "A",
    "A",
    "A",
    "D",
    "R",
    "G",
    "Q",
    "P",
    "P",
    "Q",
    "S",
    "S",
    "V",
    "V",
    "P",
    "V",
    "T",
    "V",
    "T",
    "V",
    "L",
    "D",
    "V",
    "N",
    "D",
    "N",
    "P",
    "P",
    "V",
    "F",
    "T",
    "R",
    "A",
    "S",
    "Y",
    "R",
    "V",
    "T",
    "V",
    "P",
    "E",
    "D",
    "T",
    "P",
    "V",
    "G",
    "A",
    "E",
    "L",
    "L",
    "H",
    "V",
    "E",
    "A",
    "S",
    "D",
    "A",
    "D",
    "P",
    "G",
    "P",
    "H",
    "G",
    "L",
    "V",
    "R",
    "F",
    "T",
    "V",
    "S",
    "S",
    "G",
    "D",
    "P",
    "S",
    "G",
    "L",
    "F",
    "E",
    "L",
    "D",
    "E",
    "S",
    "S",
    "G",
    "T",
    "L",
    "R",
    "L",
    "A",
    "H",
    "A",
    "L",
    "D",
    "C",
    "E",
    "T",
    "Q",
    "A",
    "R",
    "H",
    "Q",
    "L",
    "V",
    "V",
    "Q",
    "A",
    "A",
    "D",
    "P",
    "A",
    "G",
    "A",
    "H",
    "F",
    "A",
    "L",
    "A",
    "P",
    "V",
    "T",
    "I",
    "E",
    "V",
    "Q",
    "D",
    "V",
    "N",
    "D",
    "H",
    "G",
    "P",
    "A",
    "F",
    "P",
    "L",
    "N",
    "L",
    "L",
    "S",
    "T",
    "S",
    "V",
    "A",
    "E",
    "N",
    "Q",
    "P",
    "P",
    "G",
    "T",
    "L",
    "V",
    "T",
    "T",
    "L",
    "H",
    "A",
    "I",
    "D",
    "G",
    "D",
    "A",
    "G",
    "A",
    "F",
    "G",
    "R",
    "L",
    "R",
    "Y",
    "S",
    "L",
    "L",
    "E",
    "A",
    "G",
    "P",
    "G",
    "P",
    "E",
    "G",
    "R",
    "E",
    "A",
    "F",
    "A",
    "L",
    "N",
    "S",
    "S",
    "T",
    "G",
    "E",
    "L",
    "R",
    "A",
    "R",
    "V",
    "P",
    "F",
    "D",
    "Y",
    "E",
    "H",
    "T",
    "E",
    "S",
    "F",
    "R",
    "L",
    "L",
    "V",
    "G",
    "A",
    "A",
    "D",
    "A",
    "G",
    "N",
    "L",
    "S",
    "A",
    "S",
    "V",
    "T",
    "V",
    "S",
    "V",
    "L",
    "V",
    "T",
    "G",
    "E",
    "D",
    "E",
    "Y",
    "D",
    "P",
    "V",
    "F",
    "L",
    "A",
    "P",
    "A",
    "F",
    "H",
    "F",
    "Q",
    "V",
    "P",
    "E",
    "G",
    "A",
    "R",
    "R",
    "G",
    "H",
    "S",
    "L",
    "G",
    "H",
    "V",
    "Q",
    "A",
    "T",
    "D",
    "E",
    "D",
    "G",
    "G",
    "A",
    "D",
    "G",
    "L",
    "V",
    "L",
    "Y",
    "S",
    "L",
    "A",
    "T",
    "S",
    "S",
    "P",
    "Y",
    "F",
    "G",
    "I",
    "N",
    "Q",
    "T",
    "T",
    "G",
    "A",
    "L",
    "Y",
    "L",
    "R",
    "V",
    "D",
    "S",
    "R",
    "A",
    "P",
    "G",
    "S",
    "G",
    "T",
    "A",
    "T",
    "S",
    "G",
    "G",
    "G",
    "G",
    "R",
    "T",
    "R",
    "R",
    "E",
    "A",
    "P",
    "R",
    "E",
    "L",
    "R",
    "L",
    "E",
    "V",
    "I",
    "A",
    "R",
    "G",
    "P",
    "L",
    "P",
    "G",
    "S",
    "R",
    "S",
    "A",
    "T",
    "V",
    "P",
    "V",
    "T",
    "V",
    "D",
    "I",
    "T",
    "H",
    "T",
    "A",
    "L",
    "G",
    "L",
    "A",
    "P",
    "D",
    "L",
    "N",
    "L",
    "L",
    "L",
    "V",
    "G",
    "A",
    "V",
    "A",
    "A",
    "S",
    "L",
    "G",
    "V",
    "V",
    "V",
    "V",
    "L",
    "A",
    "L",
    "A",
    "A",
    "L",
    "V",
    "L",
    "G",
    "L",
    "V",
    "R",
    "A",
    "R",
    "S",
    "R",
    "K",
    "A",
    "E",
    "A",
    "A",
    "P",
    "G",
    "P",
    "M",
    "S",
    "Q",
    "A",
    "A",
    "P",
    "L",
    "A",
    "S",
    "D",
    "S",
    "L",
    "Q",
    "K",
    "L",
    "G",
    "R",
    "E",
    "P",
    "P",
    "S",
    "P",
    "P",
    "P",
    "S",
    "E",
    "H",
    "L",
    "Y",
    "H",
    "Q",
    "T",
    "L",
    "P",
    "S",
    "Y",
    "G",
    "G",
    "P",
    "G",
    "A",
    "G",
    "G",
    "P",
    "Y",
    "P",
    "R",
    "G",
    "G",
    "S",
    "L",
    "D",
    "P",
    "S",
    "H",
    "S",
    "S",
    "G",
    "R",
    "G",
    "S",
    "A",
    "E",
    "A",
    "A",
    "E",
    "D",
    "D",
    "E",
    "I",
    "R",
    "M",
    "I",
    "N",
    "E",
    "F",
    "P",
    "R",
    "V",
    "A",
    "S",
    "V",
    "A",
    "S",
    "S",
    "L",
    "A",
    "A",
    "R",
    "G",
    "P",
    "D",
    "S",
    "G",
    "I",
    "Q",
    "Q",
    "D",
    "A",
    "D",
    "G",
    "L",
    "S",
    "D",
    "T",
    "S",
    "C",
    "E",
    "P",
    "P",
    "A",
    "P",
    "D",
    "T",
    "W",
    "Y",
    "K",
    "G",
    "R",
    "K",
    "A",
    "G",
    "L",
    "L",
    "L",
    "P",
    "G",
    "A",
    "G",
    "A",
    "T",
    "L",
    "Y",
    "R",
    "E",
    "E",
    "G",
    "P",
    "P",
    "A",
    "T",
    "A",
    "T",
    "A",
    "F",
    "L",
    "G",
    "G",
    "C",
    "G",
    "L",
    "S",
    "P",
    "A",
    "P",
    "T",
    "G",
    "D",
    "Y",
    "G",
    "F",
    "P",
    "A",
    "D",
    "G",
    "K",
    "P",
    "C",
    "V",
    "A",
    "G",
    "A",
    "L",
    "T",
    "A",
    "I",
    "V",
    "A",
    "G",
    "E",
    "E",
    "E",
    "L",
    "R",
    "G",
    "S",
    "Y",
    "N",
    "W",
    "D",
    "Y",
    "L",
    "L",
    "S",
    "W",
    "C",
    "P",
    "Q",
    "F",
    "Q",
    "P",
    "L",
    "A",
    "S",
    "V",
    "F",
    "T",
    "E",
    "I",
    "A",
    "R",
    "L",
    "K",
    "D",
    "E",
    "A",
    "R",
    "P",
    "C",
    "P",
    "P",
    "A",
    "P",
    "R",
    "I",
    "D",
    "P",
    "P",
    "P",
    "L",
    "I",
    "T",
    "A",
    "V",
    "A",
    "H",
    "P",
    "G",
    "A",
    "K",
    "S",
    "V",
    "P",
    "P",
    "K",
    "P",
    "A",
    "N",
    "T",
    "A",
    "A",
    "A",
    "R",
    "A",
    "I",
    "F",
    "P",
    "P",
    "A",
    "S",
    "H",
    "R",
    "S",
    "P",
    "I",
    "S",
    "H",
    "E",
    "G",
    "S",
    "L",
    "S",
    "S",
    "A",
    "A",
    "M",
    "S",
    "P",
    "S",
    "F",
    "S",
    "P",
    "S",
    "L",
    "S",
    "P",
    "L",
    "A",
    "A",
    "R",
    "S",
    "P",
    "V",
    "V",
    "S",
    "P",
    "F",
    "G",
    "V",
    "A",
    "Q",
    "G",
    "P",
    "S",
    "A",
    "S",
    "A",
    "L",
    "S",
    "A",
    "E",
    "S",
    "G",
    "L",
    "E",
    "P",
    "P",
    "D",
    "D",
    "T",
    "E",
    "L",
    "H",
    "I"
  ],
  "backbone": [
    0.7364000000000003,
    0.7368000000000002,
    0.7393000000000002,
    0.7378999999999999,
    0.7298000000000002,
    0.7259,
    0.7333999999999999,
    0.7370999999999999,
    0.7447499999999998,
    0.7340499999999999,
    0.7140999999999998,
    0.6746499999999996,
    0.6471499999999997,
    0.6496999999999996,
    0.6680499999999998,
    0.6938499999999996,
    0.7240499999999997,
    0.7683999999999996,
    0.8086999999999996,
    0.8587999999999996,
    0.8996499999999998,
    0.9294999999999999,
    0.9557999999999999,
    0.9757000000000001,
    0.9935,
    1.0137000000000005,
    1.0216000000000003,
    1.0216,
    1.0077000000000005,
    0.9947000000000001,
    0.9521999999999998,
    0.9180000000000003,
    0.8663999999999997,
    0.8104999999999998,
    0.7692999999999998,
    0.7466000000000002,
    0.7517,
    0.7406999999999999,
    0.7284,
    0.7257999999999999,
    0.7405,
    0.7577999999999999,
    0.7687000000000003,
    0.7686999999999998,
    0.7675000000000001,
    0.7898,
    0.8123999999999999,
    0.8382999999999999,
    0.8407999999999998,
    0.8354999999999999,
    0.8311,
    0.8328,
    0.8209999999999997,
    0.7972999999999999,
    0.7718000000000003,
    0.7498999999999999,
    0.7446999999999999,
    0.7399,
    0.7563000000000001,
    0.7755000000000001,
    0.7892000000000002,
    0.8031999999999997,
    0.8183,
    0.8057000000000001,
    0.7686000000000002,
    0.7308000000000002,
    0.7068000000000001,
    0.7194000000000002,
    0.7175,
    0.7254999999999999,
    0.7262,
    0.748,
    0.7720000000000004,
    0.8056999999999999,
    0.8278999999999999,
    0.8510999999999999,
    0.8628000000000001,
    0.8854,
    0.8953000000000003,
    0.8711999999999998,
    0.8448000000000001,
    0.7955000000000001,
    0.7514000000000002,
    0.7071,
    0.6674999999999998,
    0.6365000000000002,
    0.6240999999999999,
    0.6486000000000001,
    0.6815999999999999,
    0.7269999999999999,
    0.7490000000000001,
    0.7656000000000002,
    0.7610000000000002,
    0.7736999999999998,
    0.8051999999999999,
    0.8002999999999999,
    0.7855000000000002,
    0.7581999999999998,
    0.7623999999999999,
    0.7965999999999999,
    0.8290999999999998,
    0.8520999999999999,
    0.8486999999999998,
    0.8472,
    0.8414000000000003,
    0.8435999999999998,
    0.8419000000000002,
    0.8491999999999998,
    0.8361000000000001,
    0.815,
    0.8059000000000003,
    0.8192000000000002,
    0.8403000000000002,
    0.8380000000000004,
    0.8467000000000001,
    0.8403999999999999,
    0.8414999999999999,
    0.8326999999999999,
    0.8034999999999999,
    0.7721999999999999,
    0.7645,
    0.7420999999999998,
    0.7352,
    0.7220000000000002,
    0.7334999999999999,
    0.7646,
    0.8103,
    0.8485999999999999,
    0.8698999999999998,
    0.8798,
    0.8756999999999999,
    0.8589,
    0.848,
    0.8434,
    0.8253999999999999,
    0.7988999999999998,
    0.7931000000000002,
    0.7913999999999999,
    0.7850000000000003,
    0.7747999999999999,
    0.7543999999999996,
    0.7705,
    0.7809999999999998,
    0.7734,
    0.7765,
    0.7638000000000001,
    0.7619000000000001,
    0.7626999999999998,
    0.7487,
    0.7317999999999999,
    0.7337999999999997,
    0.7400000000000002,
    0.7208999999999998,
    0.7359999999999999,
    0.7435000000000003,
    0.7412,
    0.7337000000000001,
    0.7285,
    0.7175999999999999,
    0.7374,
    0.7520999999999999,
    0.7630999999999999,
    0.7631,
    0.7628999999999998,
    0.7589,
    0.7479999999999999,
    0.7412999999999998,
    0.7439999999999999,
    0.7448000000000001,
    0.7368999999999999,
    0.716,
    0.6897000000000002,
    0.6758000000000001,
    0.6657000000000001,
    0.6783999999999999,
    0.6871000000000002,
    0.7039999999999998,
    0.7021,
    0.7129999999999999,
    0.7161999999999997,
    0.7028,
    0.6831999999999998,
    0.6564999999999996,
    0.6340999999999998,
    0.6227,
    0.6085000000000002,
    0.6146999999999998,
    0.6294000000000002,
    0.6742000000000002,
    0.7176,
    0.7501000000000003,
    0.7477999999999998,
    0.7314,
    0.7155000000000002,
    0.6789,
    0.6461,
    0.6052000000000001,
    0.5774000000000001,
    0.5646999999999999,
    0.583,
    0.5899,
    0.6266,
    0.664,
    0.7187999999999999,
    0.7554000000000001,
    0.7915,
    0.8145999999999998,
    0.8218999999999999,
    0.8213999999999999,
    0.7871,
    0.7617999999999999,
    0.7503999999999998,
    0.7413,
    0.7538999999999997,
    0.7432999999999998,
    0.7279999999999999,
    0.7142000000000003,
    0.7434,
    0.7632000000000001,
    0.7973,
    0.8149000000000002,
    0.8295999999999998,
    0.8220000000000002,
    0.8138,
    0.7995,
    0.7884000000000001,
    0.7726000000000003,
    0.7349000000000001,
    0.7048999999999996,
    0.6450999999999998,
    0.6100999999999999,
    0.6055999999999998,
    0.6303999999999998,
    0.6514999999999997,
    0.6907,
    0.7179000000000002,
    0.7446,
    0.7704000000000001,
    0.7884999999999998,
    0.8240000000000001,
    0.8552999999999997,
    0.8908999999999999,
    0.8837000000000002,
    0.8713000000000001,
    0.8563,
    0.8503,
    0.8330000000000001,
    0.8042,
    0.7908999999999998,
    0.8007000000000001,
    0.7801000000000001,
    0.7705,
    0.7472999999999999,
    0.7360000000000001,
    0.7411999999999997,
    0.7280999999999999,
    0.7229999999999999,
    0.7233999999999998,
    0.7547999999999999,
    0.7867999999999998,
    0.8130000000000001,
    0.8094000000000002,
    0.8134000000000001,
    0.8106000000000001,
    0.7861999999999999,
    0.7454999999999999,
    0.7124000000000003,
    0.6862,
    0.6763000000000002,
    0.6645000000000002,
    0.656,
    0.6889000000000003,
    0.7176000000000002,
    0.7529,
    0.7762,
    0.8046999999999999,
    0.8201999999999999,
    0.8237,
    0.8193000000000003,
    0.8046,
    0.7854000000000002,
    0.7660000000000002,
    0.7424999999999999,
    0.7122999999999999,
    0.6982999999999998,
    0.7051999999999997,
    0.7269000000000002,
    0.7448999999999999,
    0.7757999999999999,
    0.8100000000000002,
    0.8443000000000002,
    0.8517,
    0.8431000000000001,
    0.8170999999999999,
    0.7917000000000002,
    0.7623999999999999,
    0.7344999999999999,
    0.6992999999999999,
    0.6603000000000001,
    0.6224999999999998,
    0.6040999999999999,
    0.6196,
    0.6235999999999997,
    0.6347999999999998,
    0.6633,
    0.7048999999999996,
    0.7466,
    0.7736999999999999,
    0.7932,
    0.7894000000000001,
    0.7732000000000001,
    0.7661999999999998,
    0.785,
    0.8037999999999998,
    0.8091999999999996,
    0.8044999999999999,
    0.7968,
    0.7867000000000001,
    0.7818999999999999,
    0.7859999999999999,
    0.7988999999999997,
    0.7992999999999997,
    0.7937999999999998,
    0.7806000000000004,
    0.7920000000000001,
    0.8143000000000002,
    0.8448000000000002,
    0.8626,
    0.8609999999999999,
    0.8567,
    0.8477999999999997,
    0.8225999999999999,
    0.776,
    0.7395,
    0.6940000000000001,
    0.6600000000000001,
    0.6059000000000002,
    0.5852999999999999,
    0.5994999999999999,
    0.6439000000000001,
    0.6713,
    0.6772000000000002,
    0.6809000000000002,
    0.6950000000000002,
    0.7053000000000001,
    0.7343999999999998,
    0.7817000000000001,
    0.8126,
    0.8361999999999996,
    0.8497000000000001,
    0.8474000000000002,
    0.8338999999999999,
    0.8056,
    0.7745000000000001,
    0.7370999999999999,
    0.6979999999999998,
    0.6886000000000002,
    0.6835999999999999,
    0.6968000000000001,
    0.7084999999999998,
    0.7492000000000001,
    0.7867999999999998,
    0.8245000000000002,
    0.8565000000000002,
    0.8684999999999997,
    0.8607999999999999,
    0.8280000000000001,
    0.7845000000000001,
    0.7250000000000001,
    0.6826000000000001,
    0.6476,
    0.6340000000000001,
    0.6338999999999999,
    0.6578999999999999,
    0.6827999999999997,
    0.6817000000000001,
    0.6742,
    0.6569999999999999,
    0.6560000000000002,
    0.6537999999999999,
    0.6500999999999997,
    0.6628,
    0.6957000000000002,
    0.7246,
    0.7667000000000002,
    0.7843000000000004,
    0.7795,
    0.7681000000000001,
    0.7418,
    0.7226999999999999,
    0.6842000000000001,
    0.6689999999999995,
    0.6408000000000001,
    0.6403999999999999,
    0.6439999999999999,
    0.6552,
    0.7074000000000001,
    0.7483000000000001,
    0.7813,
    0.8135000000000003,
    0.8213999999999998,
    0.827,
    0.8083999999999998,
    0.7613000000000001,
    0.7216999999999998,
    0.6785000000000001,
    0.6400999999999998,
    0.6346999999999997,
    0.6535000000000001,
    0.6795000000000002,
    0.7236000000000001,
    0.7675999999999998,
    0.7863999999999997,
    0.7826000000000001,
    0.7890000000000005,
    0.8028,
    0.8289000000000002,
    0.8678000000000001,
    0.8823,
    0.9134000000000002,
    0.9379999999999998,
    0.9707999999999998,
    1.0090999999999999,
    1.0252999999999999,
    1.0185,
    0.9806999999999999,
    0.9418000000000002,
    0.9011,
    0.8793999999999998,
    0.8578999999999999,
    0.8513999999999997,
    0.8469999999999999,
    0.8380999999999998,
    0.8267000000000001,
    0.8274,
    0.8411000000000002,
    0.8335,
    0.821,
    0.8068000000000001,
    0.8071999999999998,
    0.8135999999999999,
    0.807,
    0.7903000000000002,
    0.7832000000000002,
    0.7552000000000001,
    0.7211999999999998,
    0.6760999999999999,
    0.6341999999999999,
    0.6244,
    0.6353999999999997,
    0.6544000000000001,
    0.6874999999999999,
    0.7114999999999999,
    0.7318000000000002,
    0.7498000000000001,
    0.7569000000000001,
    0.7807000000000002,
    0.8017999999999996,
    0.8162999999999999,
    0.8248999999999997,
    0.8330000000000001,
    0.8398000000000001,
    0.8280999999999997,
    0.8061999999999999,
    0.7810000000000001,
    0.7538999999999997,
    0.7545999999999998,
    0.7419999999999998,
    0.7456,
    0.7526,
    0.7849,
    0.8187,
    0.8355999999999998,
    0.8267999999999999,
    0.8129,
    0.7991999999999998,
    0.7880000000000001,
    0.7920999999999996,
    0.7687000000000003,
    0.7548000000000001,
    0.7343999999999998,
    0.7393000000000001,
    0.7407000000000001,
    0.744,
    0.7495000000000003,
    0.7401,
    0.7416000000000001,
    0.7290000000000001,
    0.7240000000000001,
    0.7532000000000001,
    0.7874000000000001,
    0.8144,
    0.8350000000000003,
    0.8345999999999998,
    0.8217999999999999,
    0.8011,
    0.7739999999999999,
    0.7480999999999998,
    0.7398999999999998,
    0.7133999999999999,
    0.6927000000000001,
    0.6595000000000001,
    0.6449,
    0.6629,
    0.684,
    0.7149000000000002,
    0.7538,
    0.8044000000000002,
    0.8339000000000001,
    0.8206,
    0.7854999999999999,
    0.742,
    0.7184999999999999,
    0.6859000000000002,
    0.6701,
    0.6904999999999999,
    0.7296,
    0.7676000000000002,
    0.7901000000000001,
    0.8129000000000001,
    0.8112000000000003,
    0.7978,
    0.7916,
    0.7970999999999998,
    0.7764000000000002,
    0.7593000000000004,
    0.7335999999999998,
    0.7522999999999999,
    0.7899999999999998,
    0.8296,
    0.8550999999999999,
    0.8514999999999999,
    0.8414,
    0.8197999999999999,
    0.8198,
    0.817,
    0.8391999999999997,
    0.8369,
    0.8317999999999998,
    0.8198,
    0.8205,
    0.8143,
    0.8222000000000002,
    0.8214,
    0.8345999999999999,
    0.8578999999999999,
    0.8695,
    0.8738999999999999,
    0.8561000000000002,
    0.8311000000000003,
    0.7894000000000003,
    0.7372000000000002,
    0.6880999999999999,
    0.6564999999999998,
    0.6508000000000002,
    0.6695000000000001,
    0.6873,
    0.7015000000000001,
    0.7108,
    0.7154000000000001,
    0.7213000000000003,
    0.7372000000000001,
    0.7657,
    0.7829999999999998,
    0.7941999999999999,
    0.7914,
    0.7804999999999997,
    0.7789,
    0.7829999999999998,
    0.7753000000000003,
    0.7714000000000001,
    0.7535999999999999,
    0.7557000000000003,
    0.7425999999999999,
    0.7522000000000001,
    0.7561000000000002,
    0.7759999999999998,
    0.8020000000000002,
    0.8160000000000001,
    0.8299999999999998,
    0.8309000000000001,
    0.8382000000000002,
    0.8369999999999997,
    0.8022,
    0.7673,
    0.7387000000000001,
    0.7164999999999999,
    0.6868999999999998,
    0.6636999999999998,
    0.6537000000000001,
    0.6630999999999999,
    0.6799000000000003,
    0.7020000000000001,
    0.7423000000000001,
    0.8099000000000001,
    0.8564,
    0.8733999999999998,
    0.8764000000000001,
    0.8732999999999999,
    0.8679999999999998,
    0.8582000000000001,
    0.8330999999999998,
    0.8188,
    0.8074999999999998,
    0.7843,
    0.7625000000000001,
    0.7293999999999998,
    0.7222999999999999,
    0.7316999999999997,
    0.7654000000000001,
    0.7817,
    0.7985,
    0.8207,
    0.8368,
    0.8285000000000002,
    0.7896000000000003,
    0.7460999999999999,
    0.7012000000000003,
    0.6546000000000003,
    0.6129,
    0.5903,
    0.5602999999999999,
    0.5437,
    0.5305,
    0.5488999999999999,
    0.5764999999999999,
    0.6056999999999998,
    0.6459999999999998,
    0.6742999999999999,
    0.7056999999999997,
    0.7209000000000001,
    0.7339999999999998,
    0.7198,
    0.7038,
    0.6918999999999998,
    0.6924000000000001,
    0.7359000000000001,
    0.7794,
    0.812,
    0.8191999999999999,
    0.8120999999999999,
    0.8033000000000002,
    0.7970000000000002,
    0.7840999999999999,
    0.7928,
    0.7642,
    0.7270000000000002,
    0.6858999999999997,
    0.6751000000000003,
    0.6747000000000002,
    0.7000000000000001,
    0.7396000000000001,
    0.7827999999999998,
    0.8356999999999999,
    0.8527000000000001,
    0.8625000000000002,
    0.8548999999999999,
    0.8447000000000002,
    0.8233000000000003,
    0.8107,
    0.7771,
    0.7102999999999999,
    0.6745,
    0.6700999999999998,
    0.7181,
    0.7645999999999998,
    0.8148,
    0.8580000000000001,
    0.9011999999999999,
    0.9347,
    0.9601,
    0.9550999999999998,
    0.9413,
    0.898,
    0.853,
    0.8210000000000002,
    0.7809,
    0.7464000000000001,
    0.72,
    0.7198000000000001,
    0.7089000000000001,
    0.7162000000000001,
    0.7179000000000001,
    0.7531999999999999,
    0.7814000000000001,
    0.7937999999999998,
    0.8028999999999998,
    0.8000000000000002,
    0.7987000000000001,
    0.7939,
    0.7846000000000003,
    0.7555999999999998,
    0.7245999999999999,
    0.692,
    0.6544000000000001,
    0.6265999999999998,
    0.6100999999999999,
    0.6004999999999998,
    0.5973,
    0.5990000000000001,
    0.6236,
    0.6774999999999999,
    0.7212000000000003,
    0.7538999999999999,
    0.7478,
    0.7435999999999998,
    0.7339999999999999,
    0.7209000000000001,
    0.7084999999999999,
    0.6946999999999998,
    0.6761999999999998,
    0.6348,
    0.5960999999999999,
    0.5595000000000002,
    0.5546999999999999,
    0.5660999999999999,
    0.5942999999999999,
    0.6335000000000001,
    0.6717,
    0.7064000000000001,
    0.7449000000000001,
    0.7648,
    0.7799999999999998,
    0.775,
    0.7450999999999999,
    0.7026999999999997,
    0.6698,
    0.6511999999999998,
    0.6665999999999999,
    0.6839999999999999,
    0.7128999999999998,
    0.7555,
    0.7886,
    0.808,
    0.8266,
    0.8294,
    0.8200000000000002,
    0.7980999999999998,
    0.7784000000000001,
    0.7832,
    0.8142000000000003,
    0.8586,
    0.8882999999999999,
    0.9022999999999998,
    0.9186000000000002,
    0.9120000000000001,
    0.8897999999999997,
    0.8632000000000002,
    0.8461,
    0.8234999999999999,
    0.8156999999999998,
    0.7973999999999999,
    0.7937000000000002,
    0.8082999999999999,
    0.8302000000000002,
    0.8568999999999999,
    0.8652999999999998,
    0.8540000000000001,
    0.8295,
    0.7856999999999997,
    0.7468,
    0.7311000000000001,
    0.7145999999999999,
    0.6943,
    0.6507000000000001,
    0.6088999999999998,
    0.5996999999999998,
    0.6284000000000002,
    0.6582999999999998,
    0.6837,
    0.7014,
    0.7077999999999999,
    0.7118000000000002,
    0.7214,
    0.7509000000000001,
    0.7890000000000001,
    0.8002000000000001,
    0.7849,
    0.7692999999999998,
    0.7404999999999999,
    0.7265999999999999,
    0.6946,
    0.6677,
    0.6722999999999996,
    0.6939999999999996,
    0.7236000000000002,
    0.7473,
    0.7750000000000002,
    0.8196000000000001,
    0.8569000000000002,
    0.8689000000000002,
    0.8664,
    0.8535000000000003,
    0.8645000000000002,
    0.8704999999999998,
    0.86,
    0.8538,
    0.8222999999999999,
    0.8058,
    0.7780000000000004,
    0.7725,
    0.762,
    0.7401000000000001,
    0.7233000000000002,
    0.7011999999999998,
    0.6981,
    0.7053000000000001,
    0.7125999999999998,
    0.7232000000000002,
    0.7342000000000001,
    0.7496000000000002,
    0.7640999999999998,
    0.7587,
    0.7413999999999997,
    0.7194999999999998,
    0.7012000000000002,
    0.6850999999999998,
    0.6676000000000001,
    0.6728,
    0.6982000000000002,
    0.7226999999999999,
    0.7578000000000001,
    0.7712000000000001,
    0.7955000000000001,
    0.7827000000000001,
    0.7573,
    0.7247,
    0.6794,
    0.6273999999999998,
    0.6058999999999999,
    0.6118999999999999,
    0.6539,
    0.6748999999999998,
    0.6907,
    0.7014999999999997,
    0.7343,
    0.7674,
    0.7942999999999999,
    0.8066999999999998,
    0.8241,
    0.8106,
    0.8036000000000002,
    0.7891999999999998,
    0.7800999999999998,
    0.7987,
    0.8265999999999999,
    0.8378999999999999,
    0.8425999999999997,
    0.8495,
    0.8488999999999998,
    0.8434,
    0.8475999999999998,
    0.8674999999999998,
    0.8547999999999999,
    0.8352999999999999,
    0.8041,
    0.7958000000000001,
    0.8067000000000002,
    0.8151999999999999,
    0.8494,
    0.8598000000000001,
    0.8694000000000001,
    0.8607000000000001,
    0.8408000000000005,
    0.8171000000000002,
    0.7808000000000004,
    0.7303000000000002,
    0.6839999999999997,
    0.6657,
    0.6584999999999999,
    0.6900999999999997,
    0.7203999999999999,
    0.7465999999999997,
    0.7663000000000002,
    0.7917999999999997,
    0.8346999999999999,
    0.8592000000000001,
    0.8738000000000001,
    0.8879,
    0.8956000000000002,
    0.8893000000000002,
    0.8711000000000002,
    0.8618000000000002,
    0.8455,
    0.8437,
    0.8002000000000001,
    0.7570000000000001,
    0.7229000000000001,
    0.7142999999999998,
    0.6930000000000001,
    0.6771999999999999,
    0.6694999999999999,
    0.6854999999999999,
    0.7040000000000001,
    0.6943999999999999,
    0.7035,
    0.7101999999999999,
    0.7440000000000003,
    0.7791,
    0.7918999999999998,
    0.7677999999999999,
    0.7509000000000001,
    0.7236000000000001,
    0.7104,
    0.6825,
    0.6678,
    0.6636,
    0.6550999999999999,
    0.6506,
    0.6702,
    0.7267,
    0.7789000000000001,
    0.8221000000000003,
    0.8529000000000001,
    0.8699999999999999,
    0.8684999999999998,
    0.8415,
    0.8166999999999999,
    0.7909999999999999,
    0.7798999999999999,
    0.7555999999999997,
    0.7323000000000001,
    0.6962999999999998,
    0.6950999999999997,
    0.7199,
    0.7505000000000002,
    0.7842000000000001,
    0.8194000000000002,
    0.8569,
    0.8846000000000002,
    0.8888000000000001,
    0.8756999999999998,
    0.8405999999999998,
    0.7896000000000001,
    0.7366000000000001,
    0.6831,
    0.6371,
    0.6320999999999997,
    0.6414999999999998,
    0.6722999999999999,
    0.7083000000000002,
    0.7392999999999998,
    0.7593999999999999,
    0.7627999999999997,
    0.7460999999999999,
    0.7384999999999999,
    0.7289000000000001,
    0.7500000000000001,
    0.7938000000000002,
    0.8197000000000003,
    0.8137,
    0.7975,
    0.7722000000000001,
    0.7335000000000002,
    0.6771999999999998,
    0.6285999999999998,
    0.5901999999999997,
    0.5488999999999998,
    0.518,
    0.48860000000000003,
    0.5166000000000001,
    0.5616,
    0.6217,
    0.6758,
    0.7137999999999999,
    0.7427,
    0.7494000000000001,
    0.7375,
    0.7014999999999998,
    0.6832,
    0.6427000000000002,
    0.6039999999999998,
    0.5455,
    0.5074,
    0.5112000000000001,
    0.5239000000000001,
    0.5665999999999999,
    0.6013999999999998,
    0.6488999999999999,
    0.7011999999999999,
    0.7473999999999998,
    0.7899000000000002,
    0.8083,
    0.8177,
    0.8293000000000001,
    0.8424999999999999,
    0.8463999999999999,
    0.8471000000000001,
    0.8289000000000001,
    0.8127999999999999,
    0.7827999999999997,
    0.7463000000000003,
    0.7335,
    0.7181,
    0.7192,
    0.7192000000000002,
    0.7395000000000002,
    0.7420999999999999,
    0.7434000000000002,
    0.7341,
    0.7334,
    0.7434,
    0.7405999999999997,
    0.7735000000000001,
    0.7915999999999999,
    0.7954,
    0.7958999999999998,
    0.7847000000000001,
    0.7548999999999999,
    0.7058,
    0.6689,
    0.6581000000000001,
    0.6775999999999999,
    0.6918000000000001,
    0.7192999999999998,
    0.7371000000000002,
    0.7709000000000001,
    0.7988999999999996,
    0.8228,
    0.8415999999999999,
    0.8398,
    0.8275000000000001,
    0.7905999999999999,
    0.7639999999999999,
    0.7217999999999998,
    0.6927000000000003,
    0.6648000000000001,
    0.6476,
    0.6261999999999999,
    0.6366999999999999,
    0.6727999999999998,
    0.7389,
    0.7989000000000003,
    0.837,
    0.8488999999999999,
    0.8359999999999997,
    0.8114999999999998,
    0.7658999999999999,
    0.732,
    0.6844999999999999,
    0.6572999999999999,
    0.6522999999999999,
    0.6481,
    0.6657,
    0.6672999999999999,
    0.6710999999999999,
    0.696,
    0.7200000000000003,
    0.7379,
    0.7523000000000001,
    0.7698999999999998,
    0.8048999999999997,
    0.8677,
    0.9179,
    0.9585999999999998,
    0.9793999999999998,
    0.9652999999999999,
    0.9339,
    0.9013999999999999,
    0.8798999999999999,
    0.8852000000000003,
    0.8755999999999999,
    0.8682000000000003,
    0.8747,
    0.8934000000000002,
    0.9199999999999999,
    0.9354000000000001,
    0.9615000000000004,
    0.9706000000000001,
    0.9671,
    0.9497000000000001,
    0.9273999999999996,
    0.8884000000000002,
    0.8529000000000002,
    0.8127000000000001,
    0.7684000000000002,
    0.7311000000000001,
    0.7125999999999998,
    0.7111000000000001,
    0.7069000000000002,
    0.7028999999999999,
    0.6798999999999997,
    0.6694,
    0.6665,
    0.6703000000000001,
    0.6901000000000002,
    0.7025,
    0.7389999999999999,
    0.7745,
    0.8147999999999997,
    0.8438,
    0.8596000000000004,
    0.8454,
    0.8118,
    0.7689999999999998,
    0.7376999999999998,
    0.7092,
    0.6866999999999999,
    0.6754,
    0.6917999999999999,
    0.6862000000000003,
    0.6853,
    0.6724000000000001,
    0.6669,
    0.6767000000000001,
    0.6906999999999999,
    0.7093999999999998,
    0.7331,
    0.7453000000000002,
    0.7710999999999997,
    0.7767999999999999,
    0.776,
    0.7752000000000002,
    0.7519000000000001,
    0.7253000000000002,
    0.6869999999999998,
    0.6522,
    0.6265,
    0.6074000000000002,
    0.593,
    0.5883000000000002,
    0.6196000000000002,
    0.6464,
    0.6786,
    0.6935,
    0.7263999999999998,
    0.7526999999999999,
    0.7751,
    0.7789,
    0.7684,
    0.7499999999999999,
    0.7160999999999998,
    0.6833999999999997,
    0.6319999999999999,
    0.6041,
    0.6013999999999997,
    0.6166999999999999,
    0.6436999999999998,
    0.6846000000000002,
    0.7390000000000001,
    0.7791000000000002,
    0.7936999999999999,
    0.7919000000000003,
    0.7883000000000001,
    0.7737999999999999,
    0.7567999999999999,
    0.7353000000000002,
    0.7214000000000002,
    0.715,
    0.7117,
    0.6991999999999998,
    0.704,
    0.7047,
    0.7118000000000002,
    0.7255999999999999,
    0.7253,
    0.7258,
    0.7126,
    0.6955,
    0.6807,
    0.6949,
    0.7362,
    0.7772,
    0.8014999999999998,
    0.8147999999999997,
    0.8096,
    0.7994000000000001,
    0.7886999999999998,
    0.7844999999999998,
    0.7954999999999998,
    0.7817999999999999,
    0.7764999999999999,
    0.7602000000000003,
    0.7591000000000001,
    0.7738000000000003,
    0.7876000000000001,
    0.8023000000000002,
    0.8180000000000001,
    0.8291999999999999,
    0.8301999999999998,
    0.8212000000000002,
    0.7875000000000002,
    0.7587000000000004,
    0.7021000000000003,
    0.6525000000000001,
    0.5878999999999998,
    0.5417000000000001,
    0.5345999999999999,
    0.5513999999999999,
    0.5655999999999999,
    0.5846000000000001,
    0.5968,
    0.6230999999999999,
    0.6464000000000001,
    0.6841999999999998,
    0.7400999999999998,
    0.8025999999999999,
    0.8468999999999998,
    0.8746000000000002,
    0.8737000000000001,
    0.8675999999999998,
    0.8430000000000001,
    0.8061999999999999,
    0.7757000000000001,
    0.7578999999999999,
    0.7488000000000001,
    0.7295999999999999,
    0.7524000000000002,
    0.7541000000000001,
    0.7829999999999999,
    0.8009999999999998,
    0.7998,
    0.7769,
    0.7462000000000001,
    0.7012,
    0.6699000000000003,
    0.6420000000000001,
    0.6099000000000001,
    0.5849999999999999,
    0.5722999999999999,
    0.5901000000000002,
    0.6411999999999999,
    0.6694999999999999,
    0.7058,
    0.7225000000000001,
    0.7464000000000002,
    0.7403000000000002,
    0.7398,
    0.7297000000000001,
    0.7088000000000003,
    0.6880000000000004,
    0.6814,
    0.6921000000000003,
    0.7185000000000001,
    0.761,
    0.8043000000000002,
    0.8169999999999998,
    0.8110999999999999,
    0.8075999999999998,
    0.784,
    0.7656,
    0.7474999999999997,
    0.7428000000000001,
    0.7221,
    0.6943999999999999,
    0.6700999999999998,
    0.6534999999999999,
    0.6668999999999997,
    0.6950000000000002,
    0.7306,
    0.786,
    0.8204000000000001,
    0.8433,
    0.8447000000000001,
    0.8276999999999999,
    0.7901,
    0.7475,
    0.7005999999999998,
    0.6652999999999999,
    0.6485999999999998,
    0.6605,
    0.6771,
    0.7005999999999997,
    0.7079,
    0.7066999999999998,
    0.7131,
    0.7322999999999998,
    0.7327000000000002,
    0.7277,
    0.7088000000000001,
    0.7007999999999999,
    0.7245,
    0.7493,
    0.7754,
    0.7956999999999997,
    0.7950999999999998,
    0.7995,
    0.7869999999999998,
    0.7820999999999998,
    0.7714999999999997,
    0.7532999999999997,
    0.7413000000000002,
    0.7398000000000001,
    0.7539000000000002,
    0.7653000000000001,
    0.7894,
    0.8007000000000002,
    0.8054999999999999,
    0.7967,
    0.7736999999999998,
    0.7409,
    0.7051999999999998,
    0.6959,
    0.6820999999999997,
    0.6677999999999997,
    0.6157999999999998,
    0.5737999999999996,
    0.5621999999999997,
    0.5641999999999997,
    0.5959999999999996,
    0.6264999999999998,
    0.6500999999999998,
    0.6714000000000001,
    0.6966000000000002,
    0.7284999999999999,
    0.7554,
    0.7815,
    0.8029999999999997,
    0.8137,
    0.8130999999999998,
    0.8019000000000001,
    0.7847000000000001,
    0.7428000000000001,
    0.7079,
    0.6836000000000001,
    0.6727,
    0.6772,
    0.661,
    0.6583999999999999,
    0.6514000000000001,
    0.6547999999999999,
    0.6633,
    0.6682999999999999,
    0.6658,
    0.6625,
    0.669,
    0.6921,
    0.7110000000000003,
    0.7003999999999998,
    0.6945000000000001,
    0.7057000000000003,
    0.7283000000000001,
    0.7634999999999998,
    0.7849,
    0.8098999999999997,
    0.8388999999999998,
    0.8504999999999995,
    0.8552999999999998,
    0.8531,
    0.8311999999999999,
    0.8032,
    0.7861,
    0.7458999999999999,
    0.7183,
    0.7179,
    0.7308000000000001,
    0.7297,
    0.7232000000000003,
    0.7188000000000002,
    0.7184999999999999,
    0.7224,
    0.7261,
    0.7292000000000001,
    0.7392999999999998,
    0.7374999999999999,
    0.7383999999999998,
    0.7260999999999997,
    0.7246,
    0.7084999999999999,
    0.7039,
    0.7074999999999999,
    0.7225000000000001,
    0.7356,
    0.7706000000000001,
    0.8008000000000001,
    0.8485999999999999,
    0.8597000000000001,
    0.8449,
    0.8222,
    0.7779,
    0.7325999999999999,
    0.7112999999999997,
    0.7214,
    0.7524,
    0.7511999999999999,
    0.7518999999999999,
    0.7586999999999998,
    0.7901999999999998,
    0.8264999999999997,
    0.8450999999999999,
    0.8570999999999996,
    0.8671,
    0.8361999999999997,
    0.8216000000000003,
    0.7997999999999998,
    0.8038,
    0.8230000000000002,
    0.8523999999999998,
    0.8711000000000001,
    0.8731999999999998,
    0.8696,
    0.8519,
    0.8237,
    0.8128000000000003,
    0.8099999999999999,
    0.7785999999999996,
    0.7473,
    0.7060999999999998,
    0.7016000000000001,
    0.7262000000000001,
    0.7575000000000002,
    0.7947000000000001,
    0.8116000000000001,
    0.8223000000000001,
    0.8230999999999997,
    0.8188000000000002,
    0.8079999999999997,
    0.7837999999999999,
    0.7411999999999999,
    0.6943999999999995,
    0.6483999999999999,
    0.6110999999999998,
    0.5911999999999997,
    0.5931,
    0.6110999999999996,
    0.6524000000000001,
    0.7102,
    0.763,
    0.8044000000000001,
    0.8249,
    0.8435,
    0.8427,
    0.8302,
    0.8041999999999999,
    0.7672999999999998,
    0.7424999999999998,
    0.7287999999999998,
    0.7222999999999999,
    0.7131,
    0.6988,
    0.7127999999999998,
    0.7241000000000001,
    0.7444999999999998,
    0.7447999999999999,
    0.7512,
    0.7606999999999998,
    0.7656999999999998,
    0.7832999999999999,
    0.7958,
    0.7885000000000001,
    0.7837000000000002,
    0.7729,
    0.7489000000000001,
    0.7320999999999999,
    0.7057,
    0.6739999999999997,
    0.6522999999999998,
    0.6364,
    0.6413,
    0.6440000000000001,
    0.6409000000000002,
    0.6377000000000003,
    0.6706,
    0.7072,
    0.7498000000000001,
    0.7681,
    0.7772,
    0.7728999999999997,
    0.7431000000000001,
    0.7134,
    0.6787,
    0.6397999999999997,
    0.6018999999999999,
    0.5620999999999997,
    0.5256,
    0.5071999999999997,
    0.5153000000000001,
    0.5565999999999998,
    0.6187999999999997,
    0.6807000000000001,
    0.7361999999999996,
    0.7817999999999999,
    0.8055000000000003,
    0.8155999999999999,
    0.8159000000000003,
    0.7992000000000001,
    0.7697999999999996,
    0.7482999999999999,
    0.7307999999999997,
    0.7177,
    0.7086,
    0.7041999999999999,
    0.7320999999999999,
    0.7311,
    0.7469999999999999,
    0.7510000000000002,
    0.7622,
    0.7752999999999999,
    0.7656999999999999,
    0.7534000000000002,
    0.7243,
    0.7061,
    0.6876,
    0.6859999999999998,
    0.6959999999999997,
    0.6923999999999998,
    0.6926999999999996,
    0.6749999999999999,
    0.6619,
    0.6504999999999999,
    0.6727999999999998,
    0.7017999999999999,
    0.7202999999999997,
    0.7315999999999997,
    0.7625000000000002,
    0.7954000000000001,
    0.8146,
    0.8331000000000002,
    0.8473,
    0.8668000000000002,
    0.8699999999999997,
    0.8709999999999999,
    0.8673,
    0.8417999999999999,
    0.8209,
    0.8016000000000003,
    0.7891,
    0.7631,
    0.7235,
    0.7136000000000002,
    0.7084000000000001,
    0.7207,
    0.7228999999999999,
    0.7285999999999999,
    0.7414999999999999,
    0.7403000000000001,
    0.7373999999999999,
    0.7437000000000001,
    0.7512000000000001,
    0.7611,
    0.7557,
    0.7626000000000002,
    0.7655999999999997,
    0.7781,
    0.7785,
    0.7828999999999999,
    0.7724000000000002,
    0.7435999999999999,
    0.7118,
    0.6870999999999998,
    0.6858,
    0.6763999999999999,
    0.6910000000000001,
    0.7037999999999999,
    0.7251999999999997,
    0.7292,
    0.7214999999999997,
    0.7024000000000001,
    0.6834000000000001,
    0.6912999999999997,
    0.6914000000000002,
    0.7045,
    0.6977000000000003,
    0.6766,
    0.6583,
    0.6375999999999998,
    0.6268999999999999,
    0.5942999999999997,
    0.5738000000000001,
    0.5537999999999998,
    0.5633,
    0.5918,
    0.6444000000000001,
    0.6900999999999999,
    0.7404999999999999,
    0.7834999999999999,
    0.8085999999999999,
    0.7955999999999999,
    0.7794000000000001,
    0.7653,
    0.7571,
    0.7248999999999995,
    0.7034,
    0.6953999999999998,
    0.7039,
    0.7236999999999999,
    0.7470000000000002,
    0.7693000000000001,
    0.7963999999999998,
    0.8111,
    0.8052,
    0.7911000000000001,
    0.7626999999999995,
    0.7298999999999997,
    0.6698999999999998,
    0.6038,
    0.5595000000000001,
    0.5609,
    0.5889999999999999,
    0.6142999999999996,
    0.6514999999999999,
    0.6829000000000003,
    0.7109,
    0.7216999999999999,
    0.7214999999999999,
    0.7088999999999999,
    0.6849000000000002,
    0.6654,
    0.6720999999999998,
    0.6967,
    0.7231,
    0.7546999999999997,
    0.7803999999999995,
    0.7858,
    0.787,
    0.7635,
    0.7535999999999999,
    0.7471999999999998,
    0.7391,
    0.7269,
    0.7137000000000004,
    0.7328000000000001,
    0.7509000000000001,
    0.7729,
    0.7979,
    0.8123999999999999,
    0.8182999999999999,
    0.8093999999999999,
    0.7923000000000002,
    0.7537,
    0.7286000000000002,
    0.6880000000000001,
    0.6611999999999998,
    0.6276999999999998,
    0.5870999999999998,
    0.5679999999999998,
    0.5711999999999998,
    0.5860000000000002,
    0.6060000000000002,
    0.6259000000000002,
    0.6665,
    0.7076000000000001,
    0.7369,
    0.7639,
    0.7846000000000002,
    0.8030000000000002,
    0.8021000000000001,
    0.7902,
    0.7887,
    0.794,
    0.7870000000000001,
    0.7691999999999999,
    0.7531999999999998,
    0.7542999999999997,
    0.7405000000000003,
    0.7454000000000002,
    0.7402,
    0.7692,
    0.7898000000000001,
    0.7928999999999999,
    0.8019999999999999,
    0.8199999999999998,
    0.8380000000000001,
    0.8577,
    0.8688000000000001,
    0.8512999999999997,
    0.8322,
    0.7990000000000002,
    0.7685999999999998,
    0.7175999999999999,
    0.6828,
    0.6573,
    0.6488,
    0.6554000000000001,
    0.6643000000000001,
    0.7030000000000001,
    0.7304,
    0.7572,
    0.7815000000000002,
    0.7993,
    0.7965999999999999,
    0.7827999999999998,
    0.7760000000000001,
    0.7615,
    0.7523000000000002,
    0.7355,
    0.7254999999999999,
    0.7001000000000002,
    0.6808000000000002,
    0.6698999999999999,
    0.6710000000000002,
    0.6785,
    0.7035,
    0.7277000000000001,
    0.7342999999999998,
    0.7144,
    0.6818000000000001,
    0.6674000000000001,
    0.6798,
    0.6931,
    0.6923999999999999,
    0.6926000000000002,
    0.6979,
    0.6950999999999999,
    0.6988,
    0.7144000000000001,
    0.7423000000000001,
    0.7546000000000003,
    0.7564000000000001,
    0.7406000000000001,
    0.7473,
    0.7893000000000001,
    0.8319,
    0.8650999999999998,
    0.8684999999999998,
    0.8599999999999999,
    0.8484000000000002,
    0.8344999999999999,
    0.8345999999999999,
    0.8317999999999999,
    0.8145999999999999,
    0.8050999999999999,
    0.7869000000000004,
    0.7940000000000002,
    0.811,
    0.8222999999999999,
    0.8313,
    0.8364999999999997,
    0.8406999999999999,
    0.8488000000000001,
    0.8466000000000001,
    0.8195,
    0.7986,
    0.7535000000000002,
    0.7198000000000002,
    0.6641999999999999,
    0.6246000000000002,
    0.6038999999999998,
    0.6064,
    0.6214999999999998,
    0.6487000000000002,
    0.6856000000000002,
    0.7363000000000001,
    0.7754,
    0.8027999999999998,
    0.8184999999999999,
    0.8200999999999999,
    0.815,
    0.7935000000000002,
    0.7726000000000001,
    0.7597999999999998,
    0.7481000000000001,
    0.72,
    0.6980000000000002,
    0.6777,
    0.6832999999999999,
    0.6807999999999998,
    0.6718999999999999,
    0.6673000000000001,
    0.677,
    0.6634999999999998,
    0.6594000000000001,
    0.6570000000000001,
    0.6832999999999999,
    0.7209999999999999,
    0.7448,
    0.7461999999999999,
    0.7337,
    0.7142000000000001,
    0.7061000000000002,
    0.6655,
    0.6448,
    0.6233999999999998,
    0.6397,
    0.6713000000000002,
    0.6833000000000001,
    0.7078,
    0.7349000000000002,
    0.7546999999999999,
    0.7792,
    0.786,
    0.7824999999999999,
    0.7755999999999997,
    0.7623999999999999,
    0.7383999999999998,
    0.7436999999999996,
    0.7250000000000001,
    0.7206999999999996,
    0.6973000000000001,
    0.6828,
    0.6780999999999999,
    0.6966,
    0.7277,
    0.7544,
    0.7995,
    0.8208000000000001,
    0.8287,
    0.8243000000000003,
    0.8038000000000001,
    0.7769999999999999,
    0.7593,
    0.7285999999999999,
    0.7167000000000001,
    0.6915999999999999,
    0.6921999999999999,
    0.7087000000000001,
    0.7530999999999999,
    0.8001000000000003,
    0.8434999999999998,
    0.8524000000000003,
    0.8412999999999997,
    0.8059000000000001,
    0.7547000000000001,
    0.7189999999999999,
    0.7041,
    0.7187,
    0.7292,
    0.7200999999999999,
    0.7384999999999999,
    0.7431000000000003,
    0.7576,
    0.7736999999999998,
    0.7833,
    0.8003999999999999,
    0.7978999999999998,
    0.8024,
    0.8078999999999998,
    0.8219000000000001,
    0.8251000000000002,
    0.8393999999999999,
    0.8522000000000002,
    0.8562,
    0.8672999999999998,
    0.8620999999999998,
    0.8411000000000002,
    0.8116000000000001,
    0.7883000000000001,
    0.7486999999999999,
    0.7175999999999997,
    0.6762999999999998,
    0.6487999999999997,
    0.6714999999999998,
    0.6918999999999998,
    0.7309999999999999,
    0.7613999999999999,
    0.7861000000000001,
    0.8143000000000001,
    0.8323,
    0.8542,
    0.8697999999999999,
    0.882,
    0.8910000000000001,
    0.8876999999999998,
    0.8753000000000003,
    0.8635999999999999,
    0.8402000000000001,
    0.8017000000000001,
    0.7661000000000003,
    0.7419,
    0.7562000000000001,
    0.7454000000000001,
    0.7454000000000003,
    0.7263999999999999,
    0.7384000000000001,
    0.7601,
    0.7505000000000001,
    0.7603000000000001,
    0.7581,
    0.7698,
    0.7820999999999997,
    0.7898999999999998,
    0.7849999999999997,
    0.7869999999999998,
    0.7895,
    0.7795,
    0.7845,
    0.7919,
    0.7920999999999999,
    0.7766000000000002,
    0.7752,
    0.7765000000000004,
    0.8096000000000001,
    0.8385000000000001,
    0.8528000000000001,
    0.8546000000000001,
    0.8402,
    0.8295999999999999,
    0.8082,
    0.7940999999999999,
    0.7824999999999998,
    0.7680999999999999,
    0.7305999999999998,
    0.6886999999999999,
    0.6458,
    0.6146999999999999,
    0.6195999999999999,
    0.6482000000000001,
    0.6953999999999999,
    0.7680999999999999,
    0.8250000000000001,
    0.8663999999999997,
    0.8705000000000002,
    0.8543999999999998,
    0.8119999999999998,
    0.7687999999999998,
    0.7410999999999999,
    0.7315000000000002,
    0.7369999999999999,
    0.7408,
    0.7509,
    0.7708,
    0.8030999999999999,
    0.8165,
    0.815,
    0.8028,
    0.768,
    0.7386000000000003,
    0.7154999999999997,
    0.7159,
    0.756,
    0.7949999999999997,
    0.8295,
    0.8488999999999999,
    0.8389000000000002,
    0.8236,
    0.8068,
    0.8019000000000001,
    0.8037999999999997,
    0.7828999999999999,
    0.7703000000000001,
    0.7647000000000003,
    0.7765000000000003,
    0.7735000000000002,
    0.7836000000000004,
    0.8030999999999998,
    0.8181000000000002,
    0.8308000000000001,
    0.8185,
    0.8041999999999999,
    0.7811000000000003,
    0.7846000000000002,
    0.784,
    0.7673000000000001,
    0.7297999999999999,
    0.7040999999999998,
    0.6784000000000002,
    0.6579000000000002,
    0.6638999999999998,
    0.6612999999999997,
    0.683,
    0.7098000000000001,
    0.7395000000000003,
    0.7618000000000001,
    0.7949000000000002,
    0.81,
    0.8272,
    0.8458,
    0.8479000000000001,
    0.8402000000000001,
    0.8248,
    0.8146999999999998,
    0.7911999999999997,
    0.7614000000000001,
    0.7433999999999998,
    0.7382,
    0.7257,
    0.7264999999999999,
    0.7162,
    0.7355999999999997,
    0.7481,
    0.7475,
    0.7569,
    0.7646000000000002,
    0.7593,
    0.7623999999999999,
    0.7533000000000002,
    0.7437999999999998,
    0.7211999999999998,
    0.7092999999999999,
    0.6766,
    0.6439999999999999,
    0.6097000000000001,
    0.5924000000000001,
    0.5962,
    0.6124999999999998,
    0.6433999999999996,
    0.6687000000000001,
    0.7145000000000002,
    0.7274999999999999,
    0.7616,
    0.7862000000000002,
    0.8019,
    0.8137,
    0.8152,
    0.8191999999999997,
    0.8042,
    0.7917999999999997,
    0.7802999999999999,
    0.7735999999999998,
    0.7781,
    0.7733999999999998,
    0.7488999999999999,
    0.7183000000000002,
    0.7043999999999999,
    0.7159000000000001,
    0.7424999999999998,
    0.7813000000000001,
    0.8079000000000002,
    0.8236000000000002,
    0.8395000000000002,
    0.8352000000000002,
    0.8044999999999999,
    0.7545,
    0.7044000000000001,
    0.6613,
    0.6384,
    0.6063999999999998,
    0.5928,
    0.5766999999999999,
    0.5947999999999998,
    0.6315,
    0.6896999999999996,
    0.7432,
    0.7755999999999998,
    0.7837999999999999,
    0.7762000000000001,
    0.7810000000000002,
    0.7847999999999999,
    0.8119,
    0.8238000000000001,
    0.8366999999999998,
    0.8454,
    0.8292999999999999,
    0.8182,
    0.8108999999999998,
    0.7820999999999999,
    0.7709999999999997,
    0.7695999999999998,
    0.7513,
    0.7508000000000001,
    0.7788,
    0.8227000000000002,
    0.8805000000000003,
    0.9050000000000001,
    0.9399000000000001,
    0.9564999999999998,
    0.9672999999999998,
    0.9616999999999999,
    0.9400000000000001,
    0.9236000000000002,
    0.8877999999999998,
    0.8341999999999998,
    0.7912999999999999,
    0.7473,
    0.7325,
    0.7346999999999999,
    0.7498,
    0.7469999999999999,
    0.7458999999999997,
    0.7592000000000001,
    0.7759999999999999,
    0.8107,
    0.8391000000000001,
    0.8594999999999998,
    0.8722000000000002,
    0.8497999999999999,
    0.8060999999999999,
    0.7721,
    0.7460000000000003,
    0.7257999999999999,
    0.7053999999999999,
    0.6997000000000001,
    0.6932,
    0.6719,
    0.6572,
    0.6552,
    0.6687,
    0.6934,
    0.6859000000000002,
    0.6841999999999997,
    0.6807,
    0.6753,
    0.6731,
    0.6871999999999999,
    0.6981000000000002,
    0.6950000000000001,
    0.6913,
    0.6848000000000001,
    0.6647,
    0.6352000000000002,
    0.6091000000000002,
    0.5841999999999999,
    0.5754999999999999,
    0.5861999999999999,
    0.6259000000000002,
    0.648,
    0.6846000000000002,
    0.7045,
    0.7191,
    0.72,
    0.7096000000000001,
    0.7094999999999999,
    0.7058999999999997,
    0.6793000000000001,
    0.6397999999999999,
    0.5958000000000001,
    0.5793999999999998,
    0.5985999999999999,
    0.6185,
    0.6540999999999999,
    0.7079,
    0.7639000000000002,
    0.8116000000000001,
    0.8327999999999997,
    0.8326999999999999,
    0.8062999999999998,
    0.7766000000000001,
    0.7305999999999999,
    0.7063,
    0.6946000000000001,
    0.7043000000000001,
    0.7074000000000005,
    0.7072000000000003,
    0.7241999999999997,
    0.7405000000000002,
    0.7447999999999998,
    0.7455000000000002,
    0.7495999999999999,
    0.7344000000000002,
    0.7204999999999999,
    0.7222000000000002,
    0.7228,
    0.7485,
    0.7800999999999997,
    0.8179999999999998,
    0.8359999999999997,
    0.8272999999999999,
    0.8025,
    0.7839999999999999,
    0.7644000000000001,
    0.7710999999999998,
    0.7908999999999998,
    0.8295999999999999,
    0.8521,
    0.8545999999999998,
    0.8595000000000003,
    0.8633000000000001,
    0.8661000000000003,
    0.8759000000000002,
    0.8842000000000002,
    0.8921,
    0.8962000000000003,
    0.8882000000000001,
    0.8681999999999999,
    0.8386999999999998,
    0.8079000000000001,
    0.7668999999999999,
    0.7196999999999998,
    0.6972999999999999,
    0.7076999999999998,
    0.7544000000000002,
    0.8067,
    0.8645000000000003,
    0.9143000000000001,
    0.9405000000000001,
    0.9520999999999998,
    0.9382,
    0.9305999999999998,
    0.9080999999999997,
    0.8760999999999998,
    0.8580999999999999,
    0.8288999999999999,
    0.8156,
    0.7866000000000001,
    0.7656,
    0.7623000000000001,
    0.7513,
    0.7641000000000002,
    0.7612000000000001,
    0.7760999999999999,
    0.7902999999999998,
    0.8013999999999999,
    0.8219,
    0.828,
    0.8429,
    0.8602999999999997,
    0.8639999999999999,
    0.8397000000000001,
    0.8186999999999999,
    0.7901999999999998,
    0.7569000000000002,
    0.7321999999999999,
    0.7171000000000001,
    0.7071000000000002,
    0.6941000000000003,
    0.6975000000000001,
    0.7004,
    0.7208,
    0.7249999999999996,
    0.7452999999999999,
    0.7751,
    0.7875999999999997,
    0.8095999999999999,
    0.8069000000000001,
    0.8083999999999998,
    0.811,
    0.7918999999999998,
    0.7508000000000001,
    0.7108,
    0.6591,
    0.6226,
    0.6058999999999998,
    0.5997000000000001,
    0.6284,
    0.6721000000000001,
    0.7184999999999999,
    0.7535000000000001,
    0.7718000000000002,
    0.7598000000000001,
    0.7594999999999998,
    0.7359999999999999,
    0.7117000000000001,
    0.6902000000000001,
    0.6802000000000002,
    0.6707000000000001,
    0.6777999999999998,
    0.6664999999999998,
    0.6810000000000002,
    0.7064,
    0.7449000000000001,
    0.7880999999999998,
    0.7919999999999997,
    0.7955000000000001,
    0.7673000000000002,
    0.7505000000000002,
    0.7379000000000001,
    0.7432,
    0.7833000000000001,
    0.8305,
    0.8668999999999998,
    0.9030999999999998,
    0.9097999999999999,
    0.9129999999999997,
    0.9255,
    0.9429,
    0.9597999999999998,
    0.9567,
    0.9535000000000001,
    0.9517000000000001,
    0.9699999999999999,
    0.9784999999999999,
    0.9859000000000001,
    0.9903000000000006,
    0.9783,
    0.966,
    0.9464000000000001,
    0.9206000000000002,
    0.8874999999999997,
    0.8643000000000004,
    0.8343000000000002,
    0.8072000000000003,
    0.7659,
    0.7317,
    0.7196999999999997,
    0.7106000000000001,
    0.726,
    0.7342000000000004,
    0.7412,
    0.7421999999999997,
    0.7511000000000002,
    0.7659999999999999,
    0.7959999999999999,
    0.8308999999999999,
    0.8561999999999999,
    0.8700000000000002,
    0.8776999999999999,
    0.8888000000000001,
    0.8833000000000001,
    0.8404000000000003,
    0.8065000000000002,
    0.7694,
    0.7489000000000001,
    0.7353000000000001,
    0.7443000000000002,
    0.7524,
    0.7691,
    0.7842,
    0.7970999999999999,
    0.8081000000000002,
    0.8289,
    0.8516999999999997,
    0.8622,
    0.8648,
    0.8576000000000001,
    0.8576000000000003,
    0.8613000000000001,
    0.8595999999999999,
    0.8394000000000001,
    0.8060000000000002,
    0.7785000000000003,
    0.7536999999999996,
    0.7632,
    0.7670000000000002,
    0.7785999999999997,
    0.7918000000000001,
    0.7803000000000001,
    0.7721999999999997,
    0.7534000000000001,
    0.7304999999999998,
    0.7156999999999999,
    0.7119,
    0.7372999999999998,
    0.7467999999999998,
    0.7564000000000003,
    0.7368,
    0.751,
    0.7808,
    0.8333000000000002,
    0.8790000000000002,
    0.9165,
    0.9065000000000001,
    0.8740000000000002,
    0.8327000000000001,
    0.7786999999999997,
    0.7096000000000001,
    0.6476999999999999,
    0.6219000000000002,
    0.6234,
    0.6603999999999998,
    0.7121999999999996,
    0.7173,
    0.7298000000000002,
    0.7236999999999999,
    0.7204,
    0.7129000000000001,
    0.7177999999999997,
    0.7080000000000004,
    0.6934000000000001,
    0.6963,
    0.7171,
    0.7415999999999999,
    0.7376,
    0.7443999999999996,
    0.7288999999999999,
    0.7325999999999999,
    0.7455999999999997,
    0.7776,
    0.8203999999999999,
    0.8327999999999999,
    0.8503999999999999,
    0.8619000000000001,
    0.8856000000000003,
    0.8925000000000002,
    0.8849000000000002,
    0.8853000000000001,
    0.8757,
    0.8651,
    0.8477,
    0.8175,
    0.7870999999999999,
    0.7705,
    0.7434999999999998,
    0.7052999999999997,
    0.6739999999999998,
    0.6538999999999998,
    0.668,
    0.6634000000000001,
    0.6725000000000002,
    0.6880000000000005,
    0.7134000000000001,
    0.7543000000000001,
    0.7825,
    0.8212,
    0.8435,
    0.8436999999999999,
    0.8491,
    0.8533,
    0.8270000000000001,
    0.8037999999999998,
    0.7774999999999999,
    0.7637999999999998,
    0.7494999999999999,
    0.7555000000000001,
    0.7624000000000001,
    0.7829,
    0.7958999999999999,
    0.8020999999999997,
    0.8115999999999998,
    0.8201000000000002,
    0.8387,
    0.8652999999999997,
    0.8817000000000004,
    0.8689,
    0.8483000000000002,
    0.8252000000000003,
    0.8014,
    0.7804999999999999,
    0.7624999999999998,
    0.7382000000000002,
    0.7048000000000002,
    0.6768999999999998,
    0.6617000000000002,
    0.6781999999999998,
    0.7074000000000001,
    0.7245,
    0.7482,
    0.7605999999999998,
    0.7516999999999999,
    0.7385999999999998,
    0.7267999999999999,
    0.7128000000000001,
    0.7065999999999998,
    0.6825,
    0.6571000000000002,
    0.6142000000000003,
    0.5809,
    0.5756999999999999,
    0.5885000000000002,
    0.6203000000000003,
    0.6698,
    0.7195,
    0.7490000000000001,
    0.7671999999999999,
    0.7767000000000001,
    0.7625000000000001,
    0.7425000000000002,
    0.7240000000000002,
    0.6944999999999999,
    0.6974,
    0.6994999999999998,
    0.6869999999999997,
    0.6974999999999997,
    0.7126999999999998,
    0.7216000000000001,
    0.7349,
    0.7258999999999999,
    0.7046000000000003,
    0.7047000000000002,
    0.7341000000000001,
    0.7783,
    0.8358000000000001,
    0.8761999999999999,
    0.9029000000000001,
    0.9089,
    0.8896,
    0.8766999999999999,
    0.8549000000000001,
    0.8236,
    0.7854999999999999,
    0.7461,
    0.7242,
    0.7178999999999998,
    0.7134999999999997,
    0.6945,
    0.6862,
    0.6961,
    0.7471000000000001,
    0.8044000000000002,
    0.8546999999999999,
    0.8630999999999998,
    0.8636000000000001,
    0.8368,
    0.8118000000000001,
    0.7965000000000002,
    0.7681000000000001,
    0.7487999999999999,
    0.7148999999999998,
    0.6731999999999999,
    0.6514999999999997,
    0.6347999999999999,
    0.6377999999999998,
    0.6500999999999999,
    0.6650000000000001,
    0.6875000000000002,
    0.7182000000000002,
    0.7504,
    0.7822999999999999,
    0.8049,
    0.8162999999999997,
    0.8043,
    0.7798,
    0.7527999999999999,
    0.7303999999999999,
    0.6998,
    0.6751999999999999,
    0.6619999999999999,
    0.6705999999999999,
    0.6817000000000001,
    0.6921000000000002,
    0.6769000000000001,
    0.694,
    0.7090000000000001,
    0.7199,
    0.7437999999999999,
    0.7589999999999999,
    0.7896,
    0.8146999999999999,
    0.8237000000000001,
    0.8094999999999998,
    0.7985000000000001,
    0.7877000000000001,
    0.7789999999999998,
    0.7551999999999995,
    0.7331000000000002,
    0.7174999999999999,
    0.7018,
    0.6830000000000002,
    0.6857000000000002,
    0.7266,
    0.7592999999999999,
    0.7972000000000002,
    0.8183,
    0.8391000000000002,
    0.8382000000000002,
    0.8322999999999999,
    0.8227000000000001,
    0.8015000000000002,
    0.7807000000000002,
    0.7384999999999997,
    0.6978000000000002,
    0.6574999999999999,
    0.6569000000000002,
    0.6752999999999999,
    0.7066999999999998,
    0.7352000000000002,
    0.7622,
    0.7860999999999999,
    0.8163999999999999,
    0.8447999999999998,
    0.8501999999999997,
    0.8331999999999999,
    0.8107999999999999,
    0.7904999999999999,
    0.7572999999999999,
    0.7425999999999999,
    0.7411000000000001,
    0.7554999999999996,
    0.7878000000000001,
    0.8144,
    0.8561,
    0.8748,
    0.8726,
    0.8610999999999998,
    0.8400000000000002,
    0.8074000000000003,
    0.7855999999999996,
    0.7726000000000001,
    0.7454999999999999,
    0.7214999999999999,
    0.6916000000000002,
    0.6645999999999997,
    0.6474999999999997,
    0.6338999999999998,
    0.6095999999999999,
    0.6035000000000001,
    0.6093999999999999,
    0.6523999999999999,
    0.6971999999999999,
    0.733,
    0.7737000000000003,
    0.7941999999999998,
    0.8271999999999997,
    0.8740000000000001,
    0.8848999999999998,
    0.8930999999999998,
    0.8833999999999997,
    0.8636999999999999,
    0.8609000000000001,
    0.8403999999999999,
    0.8511,
    0.8652,
    0.8590000000000001,
    0.8482000000000003,
    0.8265000000000003,
    0.8283,
    0.8446000000000001,
    0.8583999999999999,
    0.8656000000000001,
    0.8625999999999998,
    0.8706000000000002,
    0.8690999999999999,
    0.8550000000000003,
    0.8210000000000002,
    0.792,
    0.7605000000000002,
    0.7299000000000001,
    0.6845,
    0.6510000000000001,
    0.6270999999999999,
    0.6333,
    0.6396999999999998,
    0.6529999999999999,
    0.6568,
    0.6855999999999999,
    0.7194000000000004,
    0.7692,
    0.8036000000000002,
    0.8237999999999999,
    0.8427,
    0.8540000000000002,
    0.8552000000000002,
    0.8590999999999998,
    0.8544000000000003,
    0.8353000000000002,
    0.7982000000000001,
    0.7612000000000001,
    0.7542,
    0.7452000000000001,
    0.7557,
    0.7601999999999998,
    0.7905000000000001,
    0.8164000000000001,
    0.8257000000000001,
    0.8259,
    0.8174,
    0.8089999999999999,
    0.8170999999999998,
    0.8192,
    0.8165,
    0.8039000000000001,
    0.7824999999999998,
    0.7621999999999997,
    0.7542999999999996,
    0.7579,
    0.7436999999999999,
    0.7305999999999999,
    0.7242000000000002,
    0.7285,
    0.7564000000000003,
    0.7770999999999999,
    0.7861,
    0.7986000000000001,
    0.8215,
    0.8179000000000001,
    0.7939999999999999,
    0.7524000000000001,
    0.7048,
    0.6685999999999999,
    0.6294000000000001,
    0.6123999999999997,
    0.5863,
    0.5950000000000001,
    0.6113000000000001,
    0.6516000000000001,
    0.6773999999999999,
    0.7163000000000002,
    0.7614,
    0.7812000000000003,
    0.7847999999999998,
    0.7720999999999999,
    0.7327,
    0.6852,
    0.6394999999999996,
    0.6244999999999999,
    0.6377999999999999,
    0.6366000000000002,
    0.6332999999999999,
    0.6426999999999998,
    0.6856999999999999,
    0.7265000000000003,
    0.7592000000000001,
    0.7757,
    0.7767000000000002,
    0.7515999999999999,
    0.7207000000000001,
    0.6943999999999999,
    0.6968999999999999,
    0.7289999999999999,
    0.7600999999999999,
    0.7907999999999997,
    0.8068999999999998,
    0.8216999999999999,
    0.8180999999999999,
    0.8165999999999998,
    0.8223999999999999,
    0.8234999999999996,
    0.8149999999999998,
    0.7914000000000002,
    0.7704000000000001,
    0.7654000000000001,
    0.7903999999999999,
    0.8099000000000001,
    0.8325000000000001,
    0.8463000000000002,
    0.8501999999999998,
    0.8425,
    0.8355000000000001,
    0.8067,
    0.7781000000000001,
    0.7611999999999998,
    0.7578,
    0.7154,
    0.6868000000000001,
    0.6789,
    0.7103,
    0.7594000000000002,
    0.7767000000000001,
    0.7897,
    0.7988,
    0.7977000000000002,
    0.8065000000000001,
    0.8239,
    0.8295000000000001,
    0.8306,
    0.8210999999999999,
    0.8084,
    0.7978000000000002,
    0.7764,
    0.7525999999999997,
    0.7344999999999998,
    0.7258000000000001,
    0.7108,
    0.7112999999999999,
    0.7265000000000003,
    0.7520000000000001,
    0.7810000000000001,
    0.7865000000000003,
    0.8009999999999998,
    0.7908000000000002,
    0.7887000000000001,
    0.7942999999999999,
    0.7999,
    0.7822,
    0.7601,
    0.7406,
    0.7183999999999999,
    0.6879,
    0.6735999999999999,
    0.6606,
    0.6485000000000002,
    0.6536999999999998,
    0.662,
    0.7177000000000001,
    0.7687999999999998,
    0.8123,
    0.8405000000000001,
    0.8469,
    0.8480999999999997,
    0.8501,
    0.8369999999999999,
    0.8113999999999997,
    0.7982999999999998,
    0.7723999999999998,
    0.7598999999999997,
    0.7361,
    0.7310999999999999,
    0.7464000000000002,
    0.7807,
    0.7894000000000001,
    0.8121999999999999,
    0.8275000000000002,
    0.8446000000000001,
    0.8431000000000003,
    0.8233000000000001,
    0.8008,
    0.7778999999999998,
    0.7365000000000002,
    0.6805999999999999,
    0.6308999999999999,
    0.6075999999999997,
    0.5987999999999999,
    0.6092999999999998,
    0.6285000000000002,
    0.6541999999999998,
    0.6994999999999999,
    0.7418999999999997,
    0.757,
    0.7553000000000001,
    0.7437,
    0.7348999999999998,
    0.7187999999999999,
    0.7036000000000001,
    0.6938000000000003,
    0.6865,
    0.7013,
    0.7306,
    0.7549999999999999,
    0.7718999999999998,
    0.7777999999999997,
    0.7840999999999999,
    0.7850999999999997,
    0.7850999999999997,
    0.7904,
    0.8050999999999998,
    0.8075,
    0.8223000000000001,
    0.8379000000000001,
    0.8591000000000001,
    0.8699000000000003,
    0.8793000000000001,
    0.8881000000000001,
    0.8838999999999998,
    0.8738,
    0.8668999999999997,
    0.8450000000000001,
    0.8100999999999999,
    0.7921,
    0.779,
    0.7718000000000002,
    0.7364999999999998,
    0.7021000000000001,
    0.6997000000000001,
    0.7314999999999998,
    0.7605,
    0.7843,
    0.7998,
    0.8316999999999999,
    0.8511,
    0.8614999999999999,
    0.8571999999999997,
    0.8463999999999998,
    0.837,
    0.8231999999999999,
    0.8035000000000002,
    0.7857000000000001,
    0.7905000000000001,
    0.7982,
    0.8349000000000001,
    0.8552000000000003,
    0.8796999999999999,
    0.8707,
    0.8742000000000001,
    0.867,
    0.8587,
    0.8514999999999998,
    0.8295999999999999,
    0.8391000000000001,
    0.8586999999999997,
    0.8648999999999999,
    0.8562999999999998,
    0.8317,
    0.8028000000000002,
    0.7594000000000001,
    0.7176999999999999,
    0.674,
    0.6521000000000001,
    0.6397000000000002,
    0.6398999999999998,
    0.6353000000000001,
    0.6500000000000001,
    0.6505999999999998,
    0.6540999999999998,
    0.6799,
    0.7160999999999998,
    0.7353000000000001,
    0.7434,
    0.7429999999999999,
    0.7419,
    0.73,
    0.713,
    0.6872000000000001,
    0.6667,
    0.6767,
    0.7120999999999997,
    0.7575000000000001,
    0.7752000000000002,
    0.8132000000000001,
    0.8434,
    0.8677000000000001,
    0.8717,
    0.8609,
    0.8399,
    0.8299000000000001,
    0.8145,
    0.7903999999999994,
    0.7821000000000001,
    0.7814,
    0.7898000000000001,
    0.7906999999999998,
    0.7826999999999998,
    0.7892000000000001,
    0.8004999999999999,
    0.8224999999999998,
    0.8251000000000003,
    0.8260000000000002,
    0.8146000000000003,
    0.8275,
    0.8491000000000001,
    0.8682000000000001,
    0.8676000000000001,
    0.8676999999999998,
    0.8485,
    0.8061999999999999,
    0.7413000000000001,
    0.6783000000000003,
    0.6297999999999999,
    0.5899999999999999,
    0.5655,
    0.5673999999999998,
    0.5646999999999999,
    0.5926999999999999,
    0.6040000000000002,
    0.5921999999999997,
    0.5551999999999999,
    0.5250999999999998,
    0.5071,
    0.5119999999999998,
    0.5489999999999999,
    0.6031999999999997,
    0.6501999999999997,
    0.6881999999999997,
    0.7075999999999999,
    0.7254,
    0.7410000000000002,
    0.7563999999999997,
    0.7647,
    0.7803999999999999,
    0.7915000000000002,
    0.8128999999999998,
    0.8326000000000003,
    0.8496999999999998,
    0.8450000000000002,
    0.8236,
    0.7823000000000001,
    0.7351999999999997,
    0.6847000000000003,
    0.6420999999999999,
    0.6232000000000001,
    0.5995999999999998,
    0.5957000000000002,
    0.6013000000000001,
    0.6232000000000002,
    0.6513999999999999,
    0.6836000000000001,
    0.7189999999999999,
    0.7509,
    0.7704,
    0.8023000000000001,
    0.8353999999999997,
    0.8532,
    0.8724999999999999,
    0.8805999999999999,
    0.8956,
    0.9010999999999998,
    0.8976999999999998,
    0.8782000000000001,
    0.8650999999999999,
    0.8537,
    0.8619000000000001,
    0.895,
    0.9206,
    0.9471,
    0.9512000000000003,
    0.9529000000000001,
    0.9548000000000001,
    0.9579999999999997,
    0.9583999999999999,
    0.9586999999999998,
    0.9384000000000002,
    0.9330999999999999,
    0.9240999999999999,
    0.9154000000000002,
    0.9127000000000001,
    0.8942999999999998,
    0.9043999999999998,
    0.9317999999999999,
    0.9774999999999999,
    1.0206999999999997,
    1.0454,
    1.0532000000000001,
    1.0396000000000003,
    1.0187000000000004,
    1.0041000000000002,
    0.9961,
    0.9813000000000001,
    0.9673000000000003,
    0.9652,
    0.9469999999999997,
    0.9137999999999996,
    0.9052999999999998,
    0.8948000000000002,
    0.8758999999999999,
    0.8445000000000003,
    0.8136000000000001,
    0.7841000000000001,
    0.7610000000000001,
    0.7365,
    0.7183000000000002,
    0.6914999999999997,
    0.6675,
    0.6380999999999999,
    0.6091999999999997,
    0.5972,
    0.5938999999999998,
    0.6000999999999999,
    0.6065999999999997,
    0.6153,
    0.6365999999999998,
    0.6502999999999998,
    0.6405,
    0.6418,
    0.6507,
    0.6499,
    0.6536,
    0.6363999999999999,
    0.6260000000000001,
    0.6059000000000001,
    0.5880000000000001,
    0.5641999999999998,
    0.5515999999999999,
    0.5360999999999999,
    0.5211,
    0.5029000000000001,
    0.4739,
    0.4652,
    0.45290000000000025,
    0.46250000000000013,
    0.49400000000000005,
    0.5237999999999999,
    0.5581999999999998,
    0.5981000000000001,
    0.6406999999999999,
    0.6785,
    0.6948000000000003,
    0.6930999999999999,
    0.6753000000000002,
    0.6431999999999998,
    0.6092999999999997,
    0.5762999999999998,
    0.5393000000000001,
    0.5043,
    0.48500000000000004,
    0.48180000000000006,
    0.4716,
    0.4604000000000001,
    0.44980000000000003,
    0.4787000000000001,
    0.5082999999999998,
    0.5468,
    0.548,
    0.5409,
    0.5184000000000002,
    0.49909999999999993,
    0.5118000000000001,
    0.5418999999999999,
    0.5685000000000003,
    0.5635000000000001,
    0.5596999999999999,
    0.5465999999999999,
    0.5374999999999998,
    0.5273999999999999,
    0.5204,
    0.5298,
    0.5456000000000001,
    0.572,
    0.6004999999999999,
    0.6383999999999999,
    0.6564999999999999,
    0.6913999999999999,
    0.7226,
    0.7590999999999999,
    0.7850999999999998,
    0.7900999999999999,
    0.7924000000000002,
    0.789,
    0.7919999999999999,
    0.7929000000000002,
    0.8011,
    0.7923999999999998,
    0.7938000000000002,
    0.7891000000000001,
    0.7982999999999998,
    0.7845000000000001,
    0.7746000000000004,
    0.7640999999999999,
    0.7594000000000001,
    0.7406,
    0.7187000000000002,
    0.6897,
    0.6688999999999999,
    0.6458999999999996,
    0.6195,
    0.5954000000000002,
    0.5976999999999997,
    0.5994999999999998,
    0.6126,
    0.6110000000000001,
    0.6103,
    0.6273,
    0.6589999999999999,
    0.6963999999999999,
    0.7128000000000002,
    0.6960000000000001,
    0.6692000000000001,
    0.6316000000000003,
    0.6349000000000001,
    0.6493000000000002,
    0.6691000000000001,
    0.6658999999999999,
    0.6691999999999999,
    0.6686,
    0.6705999999999998,
    0.6657,
    0.6507000000000001,
    0.6686999999999999,
    0.696,
    0.7380999999999995,
    0.7621999999999995,
    0.7878000000000001,
    0.7916999999999998,
    0.7885999999999999,
    0.7855000000000001,
    0.7896,
    0.7845000000000001,
    0.7686000000000001,
    0.7520999999999999,
    0.7615999999999995,
    0.7593,
    0.7661999999999999,
    0.7519000000000002,
    0.7329,
    0.7081000000000001,
    0.7197999999999999,
    0.7415000000000003,
    0.7522,
    0.7746999999999999,
    0.7707999999999997,
    0.7692999999999999,
    0.7542,
    0.7351,
    0.6981999999999999,
    0.6992999999999998,
    0.7061999999999999,
    0.7321,
    0.7596999999999999,
    0.7750999999999999,
    0.7991000000000001,
    0.8006999999999999,
    0.7931000000000001,
    0.7713999999999999,
    0.7430000000000002,
    0.7176,
    0.7065,
    0.6934000000000002,
    0.6861999999999998,
    0.6856,
    0.6758,
    0.6844000000000002,
    0.6823000000000001,
    0.6884999999999999,
    0.6862999999999999,
    0.6998,
    0.6958999999999999,
    0.7114,
    0.7228000000000003,
    0.7355999999999999,
    0.7417000000000002,
    0.7440000000000002,
    0.7397,
    0.7691000000000001,
    0.7917,
    0.8342000000000002,
    0.8428000000000003,
    0.8464999999999999,
    0.8415999999999999,
    0.8535000000000001,
    0.8705999999999999,
    0.9013999999999998,
    0.8995,
    0.8874999999999998,
    0.8763000000000001,
    0.8627999999999999,
    0.8525999999999999,
    0.8495999999999997,
    0.8538,
    0.8394999999999998,
    0.8217,
    0.8172999999999999,
    0.8072999999999998,
    0.8183999999999998,
    0.8483000000000003,
    0.8933000000000001,
    0.9325000000000002,
    0.964,
    0.9593,
    0.9471000000000002,
    0.9347000000000001,
    0.9419,
    0.9281000000000001,
    0.9355999999999999,
    0.9133999999999999,
    0.8898,
    0.8603999999999999,
    0.8490000000000001,
    0.8310999999999998,
    0.8110999999999998,
    0.8054999999999998,
    0.8105999999999999,
    0.8295999999999999,
    0.8578000000000001,
    0.8813,
    0.8840999999999998,
    0.8642999999999998,
    0.8524000000000002,
    0.8299000000000001,
    0.8145000000000001,
    0.7969,
    0.7849,
    0.7471999999999999,
    0.718,
    0.6965999999999998,
    0.6777999999999997,
    0.6683000000000001,
    0.6515000000000001,
    0.6331999999999999,
    0.6299,
    0.6242000000000001,
    0.6442,
    0.6631999999999999,
    0.6901,
    0.6885000000000001,
    0.6813,
    0.6745000000000001,
    0.6892999999999999,
    0.7070999999999998,
    0.7061,
    0.6926999999999998,
    0.6966,
    0.6753000000000001,
    0.6591,
    0.6179,
    0.5899,
    0.5700999999999999,
    0.5848999999999999,
    0.5979999999999999,
    0.6068999999999998,
    0.6091000000000001,
    0.6202,
    0.6283000000000002,
    0.6254,
    0.6415000000000001,
    0.6587,
    0.6832,
    0.7017000000000001,
    0.7102,
    0.7282000000000003,
    0.724,
    0.7254999999999997,
    0.7242,
    0.7089999999999999,
    0.6749999999999997,
    0.6377999999999999,
    0.6172000000000002,
    0.5958999999999994,
    0.5914999999999998,
    0.5922000000000001,
    0.5951,
    0.5882000000000002,
    0.5897,
    0.5977999999999999,
    0.5916999999999998,
    0.5841999999999999,
    0.5800999999999998,
    0.5798999999999999,
    0.5799999999999998,
    0.5891999999999997,
    0.5911,
    0.5894999999999999,
    0.5906999999999999,
    0.5931999999999998,
    0.5959999999999999,
    0.5835,
    0.6005999999999999,
    0.6102999999999998,
    0.6088999999999998,
    0.6097999999999997,
    0.6129999999999998,
    0.6265999999999999,
    0.6410000000000002,
    0.6356,
    0.6355999999999999,
    0.6511,
    0.6626,
    0.6634999999999999,
    0.6624000000000002,
    0.6566000000000001,
    0.6699999999999998,
    0.6825000000000002,
    0.6781000000000001,
    0.6639,
    0.6547,
    0.6517999999999998,
    0.6479999999999999,
    0.6384499999999999,
    0.6253499999999999,
    0.6108,
    0.6119000000000001,
    0.6186999999999997,
    0.6301999999999999,
    0.6266999999999998,
    0.6346999999999999,
    0.6367000000000002,
    0.6462999999999999,
    0.6322,
    0.6183999999999998,
    0.5946499999999998,
    0.5722999999999999,
    0.5756,
    0.5942999999999999,
    0.61295,
    0.6377499999999999,
    0.6761499999999999,
    0.6966999999999998,
    0.70805,
    0.7188499999999999,
    0.7410999999999998,
    0.7644999999999998,
    0.7776999999999997
  ],
  "sidechain": [
    0.5142,
    0.38220000000000015,
    0.3348499999999999,
    0.29165,
    0.5663500000000001,
    0.4643499999999999,
    0.5766500000000002,
    0.5612500000000001,
    0.5436500000000001,
    0.50455,
    0.6195499999999998,
    0.48234999999999995,
    0.4029499999999999,
    0.4783999999999999,
    0.3009999999999999,
    0.4840000000000001,
    0.5326999999999998,
    0.34830000000000005,
    0.5372,
    0.53385,
    0.5866499999999999,
    0.5946499999999999,
    0.6285499999999998,
    0.5878499999999998,
    0.6201500000000002,
    0.6166999999999998,
    0.6176,
    0.6125000000000002,
    0.6189999999999999,
    0.6374999999999997,
    0.6085000000000002,
    0.6136000000000001,
    0.6186999999999997,
    0.5317000000000001,
    0.5457,
    0.4891,
    0.5554,
    0.5269,
    0.48649999999999993,
    0.5615999999999998,
    0.5916,
    0.5205999999999998,
    0.37230000000000013,
    0.5544999999999999,
    0.5221000000000001,
    0.5161999999999999,
    0.5627999999999999,
    0.30899999999999994,
    0.5824,
    0.3789999999999998,
    0.5824999999999998,
    0.30939999999999995,
    0.29710000000000014,
    0.30249999999999994,
    0.38739999999999997,
    0.5284999999999997,
    0.5181000000000001,
    0.47740000000000005,
    0.5488999999999999,
    0.5763999999999996,
    0.6037999999999999,
    0.5069,
    0.33769999999999994,
    0.6259999999999998,
    0.5348,
    0.5562999999999997,
    0.4547,
    0.6174999999999999,
    0.5297999999999998,
    0.531,
    0.4711,
    0.5397000000000002,
    0.5644,
    0.5861,
    0.5519000000000001,
    0.5973999999999999,
    0.5804999999999999,
    0.6284000000000001,
    0.6284000000000003,
    0.6391000000000001,
    0.5492,
    0.5917,
    0.3809,
    0.28329999999999994,
    0.4563000000000001,
    0.47979999999999995,
    0.4513999999999999,
    0.4856000000000002,
    0.4607,
    0.5386000000000001,
    0.31639999999999996,
    0.5567,
    0.5506,
    0.561,
    0.31339999999999996,
    0.31029999999999996,
    0.5479999999999999,
    0.4900000000000001,
    0.4899,
    0.5777000000000002,
    0.5795999999999998,
    0.3774,
    0.5793999999999999,
    0.6091000000000001,
    0.35920000000000013,
    0.5499999999999999,
    0.5582000000000003,
    0.3220000000000001,
    0.3516999999999998,
    0.2962999999999999,
    0.3798,
    0.3339000000000002,
    0.3587,
    0.35060000000000024,
    0.6005,
    0.3832999999999999,
    0.6228999999999998,
    0.6065999999999999,
    0.5764999999999999,
    0.5507999999999998,
    0.5856000000000001,
    0.4952999999999999,
    0.25690000000000013,
    0.45989999999999986,
    0.5404999999999999,
    0.5292999999999998,
    0.5618000000000004,
    0.307,
    0.5918999999999999,
    0.5759000000000002,
    0.5959,
    0.3591000000000001,
    0.5962,
    0.5822999999999999,
    0.3216000000000001,
    0.6209,
    0.48100000000000004,
    0.3312,
    0.5428999999999999,
    0.5928999999999996,
    0.5075999999999999,
    0.5603000000000001,
    0.6043999999999999,
    0.5588999999999998,
    0.3662,
    0.5589999999999999,
    0.33709999999999984,
    0.5373999999999999,
    0.5245000000000002,
    0.5439999999999998,
    0.3611999999999999,
    0.5574000000000001,
    0.5287,
    0.29519999999999996,
    0.5409,
    0.5599999999999998,
    0.5609000000000001,
    0.5455999999999998,
    0.5011000000000001,
    0.5565000000000001,
    0.3623,
    0.5925,
    0.5429999999999998,
    0.5613000000000002,
    0.30900000000000005,
    0.5508000000000001,
    0.5386999999999998,
    0.3333,
    0.28529999999999983,
    0.5025,
    0.2802999999999999,
    0.5013000000000001,
    0.4598,
    0.3147,
    0.5442,
    0.4991999999999999,
    0.5566,
    0.39959999999999996,
    0.5167999999999999,
    0.5589999999999999,
    0.5521999999999999,
    0.5636000000000002,
    0.5135999999999998,
    0.4662999999999999,
    0.2577,
    0.4514,
    0.5148000000000003,
    0.42310000000000003,
    0.2929,
    0.5762,
    0.5902999999999997,
    0.3388,
    0.5697000000000002,
    0.26799999999999996,
    0.5218999999999998,
    0.32059999999999994,
    0.4582999999999999,
    0.43640000000000007,
    0.43960000000000005,
    0.20299999999999999,
    0.4170000000000001,
    0.48360000000000003,
    0.5072000000000001,
    0.5546,
    0.5270999999999998,
    0.2859,
    0.597,
    0.5665,
    0.5740999999999999,
    0.5688,
    0.5003,
    0.267,
    0.5507,
    0.29980000000000007,
    0.2998,
    0.2451,
    0.48019999999999996,
    0.3664,
    0.5288,
    0.5732999999999999,
    0.5609,
    0.5327000000000002,
    0.5929000000000002,
    0.3870999999999999,
    0.6226999999999999,
    0.3212000000000001,
    0.5776000000000002,
    0.5193999999999999,
    0.2612,
    0.4411999999999999,
    0.4239000000000001,
    0.48300000000000004,
    0.5283000000000001,
    0.48890000000000006,
    0.28680000000000005,
    0.30989999999999984,
    0.5440999999999996,
    0.36050000000000004,
    0.5293000000000002,
    0.5715999999999999,
    0.5892000000000001,
    0.34310000000000007,
    0.5929000000000004,
    0.577,
    0.6108,
    0.5866999999999999,
    0.3314,
    0.5976999999999998,
    0.46989999999999993,
    0.32599999999999996,
    0.5467999999999997,
    0.5864999999999999,
    0.5141999999999999,
    0.5508,
    0.5708,
    0.4875000000000001,
    0.36360000000000003,
    0.5373000000000001,
    0.3881999999999998,
    0.5632999999999999,
    0.5633999999999999,
    0.5680999999999999,
    0.5723,
    0.5836,
    0.5264,
    0.29430000000000006,
    0.4971000000000001,
    0.5450999999999999,
    0.5104,
    0.49689999999999995,
    0.4577000000000001,
    0.4970000000000001,
    0.5412,
    0.5595000000000002,
    0.5790999999999998,
    0.3894,
    0.6173000000000001,
    0.6095999999999998,
    0.5896999999999999,
    0.5195,
    0.3576,
    0.5603999999999999,
    0.2904999999999999,
    0.5333000000000003,
    0.4709999999999998,
    0.5168999999999999,
    0.48280000000000006,
    0.5136,
    0.5812000000000002,
    0.6067000000000002,
    0.6073000000000002,
    0.6018999999999999,
    0.3290999999999999,
    0.6295000000000002,
    0.5158000000000001,
    0.3270999999999999,
    0.32859999999999984,
    0.3859,
    0.48180000000000006,
    0.24369999999999994,
    0.4068,
    0.2462,
    0.45249999999999985,
    0.5145,
    0.5273999999999999,
    0.5175000000000002,
    0.5890000000000003,
    0.30410000000000004,
    0.5878999999999999,
    0.5462,
    0.519,
    0.48300000000000004,
    0.5519000000000001,
    0.5665999999999998,
    0.38280000000000003,
    0.5737000000000002,
    0.3080000000000001,
    0.3664000000000003,
    0.5308,
    0.5423999999999999,
    0.28259999999999996,
    0.5729999999999998,
    0.2846,
    0.37530000000000024,
    0.3333000000000001,
    0.3595,
    0.5371000000000001,
    0.5619999999999998,
    0.31250000000000006,
    0.6006000000000002,
    0.5697000000000001,
    0.5678,
    0.3653,
    0.5703000000000001,
    0.3008000000000001,
    0.25349999999999995,
    0.40490000000000004,
    0.3996000000000001,
    0.4930999999999999,
    0.5169999999999998,
    0.5279,
    0.23209999999999995,
    0.5573000000000001,
    0.49250000000000005,
    0.5056,
    0.5682,
    0.5955999999999998,
    0.5950999999999999,
    0.5778999999999999,
    0.6076,
    0.5952999999999998,
    0.5846999999999999,
    0.33679999999999993,
    0.3062999999999999,
    0.5006,
    0.4455000000000001,
    0.2646,
    0.4452000000000001,
    0.3599999999999999,
    0.4925,
    0.48660000000000014,
    0.5468000000000001,
    0.5995999999999999,
    0.5884999999999998,
    0.6316999999999999,
    0.6085,
    0.6166000000000003,
    0.5415999999999997,
    0.5387000000000001,
    0.28030000000000016,
    0.44489999999999996,
    0.47040000000000004,
    0.49649999999999994,
    0.35389999999999994,
    0.5373999999999999,
    0.48460000000000014,
    0.2851,
    0.5006,
    0.5196000000000002,
    0.4968,
    0.48240000000000005,
    0.4403,
    0.3416,
    0.5555,
    0.5539999999999999,
    0.5626000000000001,
    0.35340000000000005,
    0.6244000000000002,
    0.5083999999999999,
    0.5651,
    0.4631999999999999,
    0.2942000000000001,
    0.44909999999999994,
    0.2546,
    0.2566,
    0.4339,
    0.28929999999999995,
    0.5625999999999999,
    0.5846,
    0.5624999999999999,
    0.5829000000000001,
    0.5475,
    0.5936000000000002,
    0.5258,
    0.5905000000000002,
    0.2557999999999999,
    0.45370000000000005,
    0.46090000000000014,
    0.2587999999999999,
    0.48689999999999994,
    0.5551,
    0.5654,
    0.5663999999999999,
    0.5902000000000001,
    0.5297,
    0.5796999999999999,
    0.3603000000000001,
    0.33080000000000004,
    0.5428,
    0.5761,
    0.6261999999999999,
    0.6298,
    0.6912000000000001,
    0.6559,
    0.6883999999999998,
    0.6313000000000002,
    0.6236999999999999,
    0.37710000000000016,
    0.36949999999999994,
    0.57,
    0.31609999999999994,
    0.34709999999999974,
    0.32570000000000005,
    0.2971000000000001,
    0.35910000000000003,
    0.33280000000000004,
    0.5777999999999998,
    0.5539999999999999,
    0.5066999999999999,
    0.6072,
    0.34500000000000003,
    0.5952999999999999,
    0.5599999999999998,
    0.5808000000000002,
    0.5314999999999996,
    0.30960000000000004,
    0.4603,
    0.44770000000000015,
    0.46609999999999996,
    0.5084000000000002,
    0.49569999999999986,
    0.5027999999999999,
    0.3008,
    0.5401999999999999,
    0.2819000000000001,
    0.5502000000000001,
    0.5596000000000001,
    0.5862999999999996,
    0.583,
    0.6138,
    0.5764999999999999,
    0.6250000000000002,
    0.5709999999999998,
    0.31939999999999996,
    0.5376000000000003,
    0.4728999999999999,
    0.28070000000000006,
    0.4694999999999999,
    0.5938000000000001,
    0.5063,
    0.5592,
    0.5651999999999999,
    0.34720000000000006,
    0.36220000000000013,
    0.38959999999999995,
    0.6043999999999999,
    0.5670999999999997,
    0.36429999999999996,
    0.5480999999999999,
    0.2774000000000002,
    0.5446999999999997,
    0.5638,
    0.5105999999999999,
    0.27020000000000005,
    0.5217,
    0.5310999999999999,
    0.5809,
    0.5417999999999998,
    0.49320000000000014,
    0.5539,
    0.5951,
    0.5806000000000001,
    0.5951000000000001,
    0.3579,
    0.6224,
    0.5703999999999998,
    0.5705999999999996,
    0.305,
    0.3004000000000001,
    0.4937999999999999,
    0.2749999999999999,
    0.3359999999999999,
    0.45960000000000006,
    0.5320999999999998,
    0.4714000000000001,
    0.4917,
    0.3915,
    0.5966999999999999,
    0.6146999999999999,
    0.6113999999999998,
    0.5515,
    0.6238,
    0.5834000000000001,
    0.5377000000000001,
    0.4665999999999999,
    0.5505,
    0.5522000000000001,
    0.576,
    0.58,
    0.6744000000000001,
    0.6239999999999999,
    0.5498000000000001,
    0.6126999999999999,
    0.3595000000000001,
    0.5821999999999999,
    0.5328,
    0.4975,
    0.48490000000000005,
    0.6105000000000003,
    0.6299,
    0.5822,
    0.5998000000000001,
    0.6144999999999999,
    0.5988999999999999,
    0.5484999999999999,
    0.5840999999999998,
    0.3412,
    0.5678000000000002,
    0.3051000000000001,
    0.5899999999999999,
    0.28240000000000004,
    0.5531000000000001,
    0.38830000000000015,
    0.5513000000000001,
    0.3888000000000001,
    0.5919000000000001,
    0.617,
    0.5929999999999999,
    0.5888999999999999,
    0.6116000000000001,
    0.5719999999999997,
    0.2902,
    0.43549999999999994,
    0.42300000000000015,
    0.5543,
    0.5155,
    0.5247,
    0.5404999999999998,
    0.5533999999999999,
    0.5032,
    0.5173,
    0.5491000000000004,
    0.5273999999999999,
    0.5733999999999999,
    0.5256999999999997,
    0.5810000000000001,
    0.5597,
    0.5813999999999999,
    0.3814999999999999,
    0.3135,
    0.5553,
    0.4734999999999999,
    0.28050000000000014,
    0.4980999999999999,
    0.3126999999999999,
    0.5264000000000001,
    0.3772000000000001,
    0.6100000000000002,
    0.42179999999999995,
    0.39620000000000005,
    0.6302,
    0.6496,
    0.6033999999999998,
    0.5222000000000001,
    0.5696,
    0.5267999999999999,
    0.6131,
    0.5010000000000001,
    0.26730000000000004,
    0.45489999999999997,
    0.5092000000000001,
    0.373,
    0.5363999999999999,
    0.49490000000000006,
    0.5865,
    0.6908000000000001,
    0.6192999999999999,
    0.6459000000000005,
    0.4507999999999999,
    0.6152000000000001,
    0.6164999999999999,
    0.6126999999999999,
    0.5547,
    0.3409999999999998,
    0.5612,
    0.31259999999999993,
    0.5043999999999998,
    0.5034000000000001,
    0.5719,
    0.5711999999999998,
    0.5168999999999998,
    0.6023,
    0.6328,
    0.6054000000000002,
    0.6040999999999999,
    0.5355,
    0.6157000000000002,
    0.4709,
    0.5495,
    0.44880000000000003,
    0.5470000000000004,
    0.4300000000000001,
    0.46540000000000004,
    0.48139999999999994,
    0.4273000000000001,
    0.4702999999999999,
    0.5248,
    0.5357,
    0.5290999999999998,
    0.3411,
    0.5802999999999998,
    0.2915999999999999,
    0.5467,
    0.52,
    0.47490000000000016,
    0.4573000000000001,
    0.30289999999999995,
    0.5582,
    0.6408,
    0.5813000000000003,
    0.5951000000000002,
    0.3809000000000002,
    0.5629,
    0.5518,
    0.30890000000000006,
    0.30719999999999986,
    0.27709999999999996,
    0.31930000000000014,
    0.4879999999999998,
    0.5397000000000003,
    0.5285000000000002,
    0.5753000000000003,
    0.6064999999999999,
    0.37609999999999993,
    0.64,
    0.5992999999999999,
    0.635,
    0.5627999999999999,
    0.6031,
    0.5683999999999998,
    0.3148000000000002,
    0.46370000000000017,
    0.44600000000000006,
    0.4763000000000001,
    0.5662000000000003,
    0.3677,
    0.5648,
    0.5899999999999997,
    0.6223000000000001,
    0.6255000000000002,
    0.6563999999999999,
    0.46580000000000005,
    0.6411000000000001,
    0.6408999999999997,
    0.6395999999999998,
    0.5718,
    0.3290000000000001,
    0.29980000000000007,
    0.4639,
    0.27319999999999994,
    0.4937999999999998,
    0.5558000000000002,
    0.5502000000000001,
    0.40690000000000004,
    0.5813000000000001,
    0.6159999999999997,
    0.5914999999999999,
    0.3567,
    0.3365999999999999,
    0.5782999999999998,
    0.5623999999999996,
    0.5463999999999996,
    0.5005999999999999,
    0.6025999999999999,
    0.48090000000000016,
    0.5209000000000001,
    0.31720000000000015,
    0.4697,
    0.49159999999999987,
    0.4613,
    0.42150000000000004,
    0.5063000000000002,
    0.5374000000000001,
    0.5575999999999999,
    0.5572000000000001,
    0.33520000000000005,
    0.6033000000000001,
    0.35139999999999993,
    0.5582999999999997,
    0.5052,
    0.30369999999999986,
    0.4547999999999998,
    0.2374,
    0.2975999999999999,
    0.4186999999999999,
    0.44270000000000004,
    0.4916,
    0.45310000000000006,
    0.29440000000000005,
    0.5949999999999998,
    0.5456000000000001,
    0.577,
    0.5427000000000001,
    0.6067000000000002,
    0.5667999999999999,
    0.5559999999999999,
    0.4259999999999998,
    0.4747,
    0.49169999999999997,
    0.49489999999999995,
    0.5108,
    0.589,
    0.5879,
    0.5503999999999998,
    0.5922999999999995,
    0.30179999999999985,
    0.31959999999999994,
    0.3774000000000001,
    0.5173000000000001,
    0.4905,
    0.5901000000000001,
    0.6065,
    0.6084999999999998,
    0.604,
    0.6177,
    0.6745999999999998,
    0.5893999999999998,
    0.5966,
    0.5587,
    0.382,
    0.3665,
    0.5574999999999998,
    0.49269999999999986,
    0.5411000000000001,
    0.5465000000000002,
    0.5647999999999997,
    0.39470000000000016,
    0.6156,
    0.32639999999999997,
    0.6063999999999998,
    0.5080999999999999,
    0.5569999999999998,
    0.24919999999999998,
    0.30750000000000005,
    0.43090000000000006,
    0.4227000000000001,
    0.42950000000000005,
    0.5558000000000001,
    0.3459,
    0.5164,
    0.2889999999999998,
    0.5493999999999998,
    0.4951999999999999,
    0.5499,
    0.32170000000000004,
    0.5411999999999999,
    0.3218999999999999,
    0.5998999999999997,
    0.5073,
    0.6145,
    0.5668000000000001,
    0.5151,
    0.45249999999999985,
    0.5161999999999999,
    0.5366999999999998,
    0.5512000000000001,
    0.5497999999999998,
    0.5108000000000003,
    0.6136,
    0.5784,
    0.31779999999999997,
    0.4190000000000001,
    0.6516999999999998,
    0.43990000000000007,
    0.6005,
    0.6235,
    0.6318999999999999,
    0.5564999999999999,
    0.6024000000000002,
    0.5566999999999995,
    0.28700000000000003,
    0.3024,
    0.5261,
    0.5535999999999999,
    0.5103,
    0.4865,
    0.5503,
    0.5225,
    0.5328000000000003,
    0.4964,
    0.6040000000000002,
    0.5892999999999998,
    0.3908000000000001,
    0.5676,
    0.5313999999999999,
    0.4952000000000001,
    0.48850000000000005,
    0.5140999999999999,
    0.4403,
    0.30889999999999995,
    0.5549000000000001,
    0.5898000000000003,
    0.529,
    0.5579999999999999,
    0.5605999999999999,
    0.5774000000000001,
    0.5050000000000001,
    0.5594,
    0.4711,
    0.4351000000000001,
    0.4195999999999999,
    0.2847999999999999,
    0.5105000000000003,
    0.28619999999999995,
    0.4537,
    0.5984,
    0.5720999999999999,
    0.5448999999999999,
    0.5850000000000001,
    0.30049999999999993,
    0.5746000000000001,
    0.5462,
    0.4749,
    0.4653,
    0.5641000000000003,
    0.5804999999999999,
    0.37179999999999996,
    0.5297000000000001,
    0.6069,
    0.3531000000000002,
    0.5177999999999998,
    0.5583,
    0.33720000000000006,
    0.32209999999999994,
    0.2839,
    0.5503999999999999,
    0.5702000000000002,
    0.5027999999999999,
    0.5290000000000004,
    0.5803,
    0.5864,
    0.3092,
    0.602,
    0.3143,
    0.5704999999999998,
    0.3329999999999999,
    0.5407,
    0.44520000000000015,
    0.47509999999999997,
    0.4454000000000002,
    0.5277000000000001,
    0.5489,
    0.5386,
    0.5501999999999998,
    0.5519,
    0.5893999999999997,
    0.5563999999999998,
    0.5637000000000001,
    0.37889999999999996,
    0.5992000000000001,
    0.37379999999999985,
    0.6057999999999999,
    0.5897999999999999,
    0.5939,
    0.321,
    0.32199999999999995,
    0.5370999999999998,
    0.4457,
    0.2772,
    0.4557999999999999,
    0.5191999999999999,
    0.5061999999999999,
    0.5299999999999999,
    0.5690999999999999,
    0.5372000000000001,
    0.5470999999999998,
    0.5080000000000001,
    0.28869999999999973,
    0.3046,
    0.5191999999999999,
    0.5175999999999997,
    0.533,
    0.5664999999999999,
    0.5472,
    0.5055999999999998,
    0.47080000000000005,
    0.49660000000000015,
    0.5295,
    0.4817999999999999,
    0.4474000000000001,
    0.5479000000000002,
    0.5764,
    0.6414999999999998,
    0.5957,
    0.6005000000000003,
    0.6441000000000001,
    0.3699,
    0.5877999999999997,
    0.5619,
    0.31989999999999996,
    0.5073000000000002,
    0.2663999999999999,
    0.49269999999999997,
    0.47960000000000014,
    0.5465000000000001,
    0.5187000000000002,
    0.5814000000000001,
    0.3737000000000001,
    0.6189,
    0.6181000000000001,
    0.6498000000000003,
    0.5897,
    0.5949000000000003,
    0.5908000000000001,
    0.5717000000000001,
    0.4683999999999999,
    0.4489000000000001,
    0.47540000000000016,
    0.47489999999999993,
    0.5525,
    0.5906999999999998,
    0.5656999999999999,
    0.5468999999999999,
    0.3039999999999999,
    0.5707000000000001,
    0.5345000000000001,
    0.5147999999999999,
    0.4636999999999999,
    0.5501,
    0.5589999999999998,
    0.3222999999999999,
    0.5750000000000001,
    0.5321,
    0.3557000000000002,
    0.5104999999999998,
    0.4945999999999999,
    0.42509999999999987,
    0.4753,
    0.4419,
    0.4143,
    0.41040000000000004,
    0.4727,
    0.5040000000000001,
    0.5091000000000002,
    0.27019999999999994,
    0.5645000000000001,
    0.29399999999999993,
    0.5385999999999999,
    0.2813,
    0.5349,
    0.29559999999999986,
    0.23459999999999992,
    0.3865999999999999,
    0.3723,
    0.4456,
    0.48760000000000003,
    0.4769000000000001,
    0.2690000000000001,
    0.5036999999999999,
    0.5169,
    0.5356999999999998,
    0.5680999999999998,
    0.34840000000000015,
    0.5888000000000002,
    0.33259999999999984,
    0.5852999999999999,
    0.6051000000000001,
    0.5800000000000001,
    0.37620000000000015,
    0.3206000000000002,
    0.5346999999999998,
    0.4717,
    0.5432,
    0.3,
    0.47220000000000006,
    0.5494000000000001,
    0.5814,
    0.5532999999999998,
    0.35160000000000013,
    0.5688,
    0.49520000000000003,
    0.5410999999999998,
    0.5687,
    0.5860999999999998,
    0.5854999999999998,
    0.3483000000000001,
    0.5710999999999997,
    0.2920000000000001,
    0.5981,
    0.5193999999999998,
    0.4935999999999999,
    0.46900000000000014,
    0.5207,
    0.5102000000000001,
    0.5275999999999998,
    0.498,
    0.5397000000000003,
    0.3950999999999999,
    0.5428999999999998,
    0.6288000000000001,
    0.41570000000000007,
    0.5949,
    0.3821999999999997,
    0.5675999999999999,
    0.352,
    0.5418999999999999,
    0.4875,
    0.2753000000000001,
    0.4398,
    0.477,
    0.5450999999999998,
    0.6278,
    0.6149999999999999,
    0.6215000000000002,
    0.5820000000000001,
    0.6088,
    0.6044000000000002,
    0.5788000000000003,
    0.2944000000000001,
    0.4759,
    0.5423,
    0.4794,
    0.5320000000000004,
    0.5538,
    0.5496999999999996,
    0.4653000000000001,
    0.5675999999999999,
    0.31650000000000017,
    0.5666999999999999,
    0.3778,
    0.5397,
    0.5298,
    0.6724000000000001,
    0.6579999999999999,
    0.7076999999999999,
    0.6712000000000002,
    0.4722000000000001,
    0.6334999999999997,
    0.6222000000000001,
    0.5840000000000001,
    0.3397,
    0.3308999999999999,
    0.3094000000000001,
    0.5727999999999999,
    0.41329999999999995,
    0.35050000000000014,
    0.6499,
    0.6377999999999998,
    0.6763000000000001,
    0.6667,
    0.40559999999999985,
    0.6217,
    0.5831999999999999,
    0.5883999999999997,
    0.572,
    0.49599999999999994,
    0.4704999999999998,
    0.5142,
    0.3531999999999999,
    0.5445,
    0.26330000000000003,
    0.5321000000000001,
    0.4406,
    0.3313999999999999,
    0.3496999999999999,
    0.5301999999999999,
    0.4484000000000001,
    0.5251,
    0.5701999999999999,
    0.5516,
    0.5970000000000001,
    0.3541000000000001,
    0.5908,
    0.5112000000000001,
    0.591,
    0.5647999999999997,
    0.4803,
    0.3653,
    0.44930000000000014,
    0.2543,
    0.4952,
    0.5156999999999999,
    0.5000999999999999,
    0.29930000000000007,
    0.5517000000000001,
    0.4858000000000001,
    0.2618,
    0.31750000000000006,
    0.5527999999999997,
    0.5417,
    0.5626000000000001,
    0.5630999999999999,
    0.5886000000000001,
    0.5468000000000001,
    0.5481999999999998,
    0.27040000000000003,
    0.45019999999999993,
    0.3382000000000001,
    0.47709999999999997,
    0.46819999999999995,
    0.41490000000000005,
    0.49689999999999995,
    0.48719999999999997,
    0.5504,
    0.4806999999999998,
    0.34099999999999997,
    0.5808000000000002,
    0.5836999999999998,
    0.5915999999999999,
    0.5543000000000002,
    0.3334999999999999,
    0.30629999999999996,
    0.2812999999999999,
    0.4491,
    0.44139999999999996,
    0.48889999999999995,
    0.43730000000000013,
    0.46380000000000005,
    0.3297,
    0.604,
    0.5800000000000001,
    0.5835999999999998,
    0.5313,
    0.6042000000000002,
    0.36039999999999994,
    0.3774999999999999,
    0.5732000000000002,
    0.49799999999999994,
    0.24839999999999993,
    0.26120000000000004,
    0.4867000000000001,
    0.31030000000000013,
    0.5474,
    0.5544999999999995,
    0.32009999999999994,
    0.5572999999999998,
    0.544,
    0.5492999999999998,
    0.3536,
    0.48989999999999995,
    0.4669999999999999,
    0.27640000000000003,
    0.5488999999999999,
    0.5570999999999999,
    0.5620999999999999,
    0.5933000000000003,
    0.4048000000000001,
    0.5423999999999998,
    0.5495999999999999,
    0.2834999999999999,
    0.30979999999999996,
    0.27030000000000004,
    0.35830000000000006,
    0.33690000000000003,
    0.5338000000000002,
    0.5363,
    0.5826000000000003,
    0.3731000000000001,
    0.6172000000000001,
    0.6053000000000003,
    0.5916,
    0.38659999999999994,
    0.5895000000000001,
    0.3395,
    0.24519999999999992,
    0.41919999999999996,
    0.41410000000000025,
    0.4556,
    0.47450000000000025,
    0.5007,
    0.2577,
    0.46790000000000004,
    0.5278,
    0.5145000000000001,
    0.4662999999999998,
    0.5310999999999999,
    0.5833999999999998,
    0.5816,
    0.5898000000000002,
    0.6033999999999997,
    0.6132,
    0.5839999999999999,
    0.30690000000000006,
    0.5733999999999999,
    0.4653000000000001,
    0.28739999999999993,
    0.47559999999999997,
    0.5579,
    0.5265000000000002,
    0.5825000000000001,
    0.6003,
    0.6009999999999998,
    0.39099999999999996,
    0.5737000000000001,
    0.5127,
    0.4655,
    0.5058,
    0.4992000000000001,
    0.41869999999999996,
    0.4235,
    0.417,
    0.5629,
    0.5249,
    0.5807999999999998,
    0.37409999999999993,
    0.5753999999999999,
    0.5157,
    0.28999999999999987,
    0.2948000000000001,
    0.5390999999999999,
    0.5294999999999997,
    0.49090000000000006,
    0.46140000000000014,
    0.5208000000000003,
    0.5956,
    0.5680000000000003,
    0.5741999999999998,
    0.5616000000000001,
    0.607,
    0.3654,
    0.5533999999999997,
    0.3329999999999999,
    0.30499999999999994,
    0.4792999999999999,
    0.28109999999999996,
    0.24830000000000002,
    0.43840000000000007,
    0.2657,
    0.4705000000000001,
    0.4878,
    0.5571999999999999,
    0.6591,
    0.6284,
    0.5922000000000001,
    0.5932,
    0.6036999999999999,
    0.5376,
    0.47719999999999985,
    0.49350000000000005,
    0.4383000000000001,
    0.46470000000000006,
    0.24680000000000007,
    0.5860999999999997,
    0.5583999999999999,
    0.5085999999999998,
    0.5755999999999999,
    0.5432,
    0.5391,
    0.5182,
    0.4911000000000001,
    0.46180000000000004,
    0.2709999999999999,
    0.5369,
    0.5648,
    0.5441000000000001,
    0.5486999999999999,
    0.5758999999999997,
    0.5287999999999999,
    0.5505999999999998,
    0.5716999999999999,
    0.33129999999999993,
    0.5234000000000002,
    0.2824,
    0.34519999999999995,
    0.5287000000000001,
    0.5145000000000001,
    0.562,
    0.5486000000000001,
    0.5940000000000003,
    0.5375999999999999,
    0.5927999999999999,
    0.5186000000000001,
    0.5514999999999998,
    0.4724999999999999,
    0.2219,
    0.2767999999999998,
    0.3905999999999999,
    0.44240000000000007,
    0.47469999999999996,
    0.4756000000000001,
    0.2692000000000001,
    0.44869999999999993,
    0.5040000000000001,
    0.46739999999999987,
    0.5445999999999999,
    0.32939999999999997,
    0.5422,
    0.5811,
    0.5446999999999997,
    0.36330000000000007,
    0.5402999999999999,
    0.5605999999999999,
    0.5201000000000001,
    0.4803000000000002,
    0.5214,
    0.28200000000000003,
    0.5148000000000001,
    0.4829,
    0.23879999999999987,
    0.5157000000000002,
    0.5068000000000001,
    0.4531999999999998,
    0.23960000000000004,
    0.5176,
    0.4776000000000001,
    0.2376,
    0.2765999999999999,
    0.28309999999999996,
    0.47129999999999994,
    0.4933000000000001,
    0.5175000000000001,
    0.5140000000000001,
    0.5448000000000002,
    0.5353,
    0.5525000000000001,
    0.5600999999999999,
    0.6039,
    0.5602999999999997,
    0.5611999999999999,
    0.5604999999999999,
    0.5633999999999999,
    0.5331,
    0.2735000000000001,
    0.45899999999999996,
    0.5453999999999998,
    0.33499999999999996,
    0.5307000000000002,
    0.4812000000000001,
    0.5083,
    0.5587999999999997,
    0.5617,
    0.49939999999999996,
    0.5062,
    0.5765999999999999,
    0.5311,
    0.5735999999999998,
    0.5226,
    0.3208000000000001,
    0.5034000000000001,
    0.5242000000000002,
    0.4556999999999999,
    0.522,
    0.4835999999999999,
    0.5766000000000001,
    0.618,
    0.5995000000000001,
    0.6096,
    0.5865000000000001,
    0.6165000000000003,
    0.5417999999999998,
    0.4987000000000001,
    0.4905999999999999,
    0.5379999999999999,
    0.35169999999999996,
    0.5297999999999998,
    0.25820000000000004,
    0.5032,
    0.5994,
    0.6137999999999998,
    0.6093999999999999,
    0.5900999999999998,
    0.3444,
    0.5892000000000001,
    0.5710000000000002,
    0.5257000000000003,
    0.5341000000000001,
    0.36319999999999986,
    0.6182999999999997,
    0.5904999999999999,
    0.6197,
    0.6381000000000001,
    0.4231000000000001,
    0.5748999999999995,
    0.6076000000000004,
    0.34419999999999984,
    0.5741999999999998,
    0.27099999999999985,
    0.5262,
    0.48299999999999993,
    0.5592,
    0.5214,
    0.6273000000000003,
    0.3744,
    0.5546999999999996,
    0.6054999999999999,
    0.6077999999999998,
    0.5719999999999998,
    0.3357999999999999,
    0.5462999999999999,
    0.25200000000000006,
    0.46639999999999987,
    0.46500000000000014,
    0.4381999999999999,
    0.4330000000000001,
    0.5051000000000001,
    0.4706000000000001,
    0.5408999999999998,
    0.3319999999999999,
    0.5908999999999999,
    0.6085000000000003,
    0.3609999999999999,
    0.5973999999999998,
    0.38870000000000005,
    0.5687,
    0.36669999999999986,
    0.5493999999999999,
    0.3569000000000001,
    0.27110000000000006,
    0.25049999999999983,
    0.45089999999999997,
    0.2554999999999999,
    0.5064999999999997,
    0.5847,
    0.5285,
    0.5445,
    0.5637,
    0.5570999999999998,
    0.3115999999999999,
    0.3135999999999999,
    0.5489999999999999,
    0.5483,
    0.5267,
    0.5507999999999998,
    0.5434999999999999,
    0.5883999999999999,
    0.5097999999999997,
    0.24239999999999998,
    0.47169999999999995,
    0.494,
    0.24589999999999995,
    0.47439999999999993,
    0.4327,
    0.5261,
    0.5559000000000003,
    0.5994000000000002,
    0.5912000000000002,
    0.558,
    0.5834999999999999,
    0.36600000000000005,
    0.5448,
    0.4818999999999999,
    0.29910000000000003,
    0.4627,
    0.2249999999999999,
    0.4052,
    0.4382999999999999,
    0.4171999999999999,
    0.4741999999999999,
    0.4504000000000001,
    0.47039999999999993,
    0.3191,
    0.5554,
    0.36850000000000005,
    0.5783999999999998,
    0.3588,
    0.5622999999999997,
    0.5747999999999998,
    0.32449999999999996,
    0.35679999999999995,
    0.2820000000000001,
    0.5389,
    0.45639999999999986,
    0.4906,
    0.5017,
    0.5391000000000001,
    0.5496,
    0.3190000000000001,
    0.5567000000000001,
    0.2889,
    0.5314000000000001,
    0.31,
    0.502,
    0.43129999999999996,
    0.5123999999999999,
    0.5376000000000001,
    0.4820999999999998,
    0.5606,
    0.5063,
    0.29219999999999996,
    0.42160000000000003,
    0.4915,
    0.26980000000000004,
    0.28919999999999996,
    0.2473999999999999,
    0.5104,
    0.5520999999999999,
    0.5079000000000002,
    0.5382000000000001,
    0.5763999999999999,
    0.5753999999999998,
    0.5817999999999997,
    0.6012000000000001,
    0.5805000000000002,
    0.2919,
    0.5598000000000003,
    0.5346999999999998,
    0.2831000000000001,
    0.319,
    0.5145999999999998,
    0.5251000000000001,
    0.4534,
    0.5435999999999999,
    0.5176999999999999,
    0.3248,
    0.3162000000000001,
    0.29900000000000004,
    0.52,
    0.5518000000000001,
    0.3225000000000001,
    0.5589000000000002,
    0.5151999999999999,
    0.5823,
    0.34530000000000016,
    0.5861000000000001,
    0.5478999999999996,
    0.5740999999999998,
    0.5512999999999999,
    0.2958000000000001,
    0.288,
    0.4481000000000001,
    0.2536999999999999,
    0.42939999999999995,
    0.5352,
    0.5007,
    0.5506000000000003,
    0.5451999999999999,
    0.5479999999999999,
    0.5204000000000002,
    0.5218,
    0.4864,
    0.31899999999999995,
    0.5122,
    0.3020999999999999,
    0.5438999999999999,
    0.4987000000000001,
    0.20780000000000004,
    0.23100000000000004,
    0.31479999999999997,
    0.44770000000000004,
    0.43839999999999996,
    0.42270000000000013,
    0.45780000000000004,
    0.5085,
    0.5299,
    0.5701000000000003,
    0.5489,
    0.5851999999999998,
    0.5627999999999997,
    0.5753999999999998,
    0.3158,
    0.3196999999999999,
    0.4893999999999999,
    0.254,
    0.5333000000000001,
    0.44820000000000004,
    0.27020000000000005,
    0.5574000000000001,
    0.5556999999999999,
    0.3378000000000001,
    0.5951,
    0.5487000000000003,
    0.5744000000000002,
    0.33809999999999985,
    0.5808000000000001,
    0.5539,
    0.4651,
    0.4373999999999999,
    0.39899999999999997,
    0.2377,
    0.4339000000000001,
    0.5191,
    0.5408,
    0.3370000000000001,
    0.5643999999999999,
    0.5181,
    0.5164,
    0.49369999999999997,
    0.49229999999999996,
    0.4389,
    0.5174000000000001,
    0.5604999999999999,
    0.4952000000000001,
    0.5568000000000003,
    0.5502,
    0.36800000000000027,
    0.5123,
    0.5348999999999998,
    0.2534,
    0.2996999999999999,
    0.22790000000000005,
    0.3248000000000001,
    0.31429999999999997,
    0.5414999999999999,
    0.2716000000000001,
    0.5567,
    0.5507000000000001,
    0.5903,
    0.5632,
    0.5726000000000001,
    0.5416999999999998,
    0.5557000000000003,
    0.4600999999999998,
    0.26910000000000006,
    0.4785999999999999,
    0.39620000000000005,
    0.43889999999999985,
    0.48050000000000004,
    0.47250000000000025,
    0.2492000000000001,
    0.4550999999999999,
    0.5275999999999998,
    0.5041999999999999,
    0.3371,
    0.5393000000000001,
    0.5855999999999998,
    0.5802000000000002,
    0.5753000000000003,
    0.5287,
    0.5664000000000002,
    0.5642000000000001,
    0.31310000000000016,
    0.5518999999999997,
    0.4681,
    0.3023,
    0.2713,
    0.5721,
    0.5123000000000001,
    0.546,
    0.5740000000000002,
    0.3944999999999999,
    0.37559999999999993,
    0.3881999999999999,
    0.34769999999999995,
    0.5932,
    0.5415,
    0.5799999999999997,
    0.5830000000000002,
    0.6046,
    0.3398000000000001,
    0.2724,
    0.45400000000000007,
    0.4728,
    0.5046999999999999,
    0.48000000000000004,
    0.46270000000000006,
    0.5249000000000001,
    0.5160999999999999,
    0.5934,
    0.6019000000000001,
    0.5601999999999999,
    0.6111,
    0.34459999999999996,
    0.559,
    0.5194000000000002,
    0.3198999999999999,
    0.5077999999999998,
    0.2794,
    0.5303,
    0.4636,
    0.5364,
    0.4818000000000001,
    0.514,
    0.3661,
    0.5916000000000003,
    0.5843,
    0.5558000000000001,
    0.48079999999999984,
    0.4762999999999999,
    0.5437000000000002,
    0.5140999999999999,
    0.49449999999999983,
    0.27730000000000005,
    0.5211,
    0.5480999999999997,
    0.47119999999999995,
    0.5405,
    0.3025000000000001,
    0.5365999999999999,
    0.29449999999999993,
    0.4998000000000001,
    0.46270000000000006,
    0.5525000000000002,
    0.6026,
    0.5954999999999998,
    0.5706000000000002,
    0.6207999999999999,
    0.37100000000000016,
    0.5589999999999998,
    0.5600999999999998,
    0.3129,
    0.3348999999999999,
    0.2826,
    0.29750000000000004,
    0.3595000000000001,
    0.28740000000000004,
    0.29510000000000003,
    0.5993000000000002,
    0.49290000000000006,
    0.6291000000000002,
    0.5713000000000001,
    0.5984999999999998,
    0.5534999999999998,
    0.5587999999999999,
    0.36239999999999994,
    0.27499999999999997,
    0.28400000000000003,
    0.3997000000000001,
    0.46830000000000005,
    0.48650000000000027,
    0.4836000000000001,
    0.3046000000000001,
    0.5558999999999998,
    0.5581999999999999,
    0.5313999999999999,
    0.5428000000000003,
    0.552,
    0.5787,
    0.3393999999999999,
    0.5741000000000003,
    0.5728,
    0.5423000000000001,
    0.2793999999999999,
    0.29420000000000013,
    0.2812,
    0.4264,
    0.26189999999999997,
    0.49689999999999984,
    0.5465,
    0.49729999999999996,
    0.5407000000000001,
    0.5398000000000001,
    0.4506,
    0.47519999999999996,
    0.5389999999999997,
    0.5254000000000001,
    0.5600999999999997,
    0.5130999999999999,
    0.5596999999999998,
    0.27609999999999996,
    0.5509000000000001,
    0.48969999999999997,
    0.22590000000000002,
    0.4100000000000001,
    0.30870000000000014,
    0.27249999999999996,
    0.47630000000000006,
    0.32130000000000003,
    0.5195000000000001,
    0.5687999999999999,
    0.5285000000000001,
    0.5304,
    0.5692,
    0.34769999999999995,
    0.5619999999999999,
    0.4987999999999999,
    0.3243999999999999,
    0.5164,
    0.24960000000000004,
    0.5246000000000001,
    0.4539999999999999,
    0.5138,
    0.46429999999999993,
    0.5025999999999999,
    0.3836000000000001,
    0.5931,
    0.42530000000000007,
    0.5919,
    0.3706999999999999,
    0.6181,
    0.5399999999999999,
    0.3132,
    0.4482999999999999,
    0.32539999999999997,
    0.47939999999999994,
    0.4879,
    0.4846,
    0.5996,
    0.5979999999999999,
    0.5988,
    0.5830000000000001,
    0.3214999999999999,
    0.5997000000000001,
    0.5602999999999999,
    0.49830000000000013,
    0.47969999999999996,
    0.2941000000000001,
    0.5479999999999999,
    0.473,
    0.5191000000000002,
    0.5184,
    0.3791000000000002,
    0.5321999999999998,
    0.5497,
    0.3021999999999999,
    0.33589999999999987,
    0.27899999999999986,
    0.5398999999999999,
    0.307,
    0.5531000000000001,
    0.5630999999999999,
    0.5886999999999999,
    0.381,
    0.6204000000000002,
    0.36129999999999995,
    0.6298,
    0.2940000000000001,
    0.5778000000000003,
    0.30689999999999984,
    0.24839999999999993,
    0.4300999999999999,
    0.41590000000000016,
    0.35409999999999997,
    0.5102000000000001,
    0.5247,
    0.5527000000000001,
    0.5158999999999998,
    0.5863999999999997,
    0.5485999999999995,
    0.5792000000000002,
    0.5793999999999999,
    0.6039,
    0.5955999999999999,
    0.6013,
    0.5747000000000003,
    0.5785,
    0.5906,
    0.3052000000000001,
    0.5512999999999998,
    0.46900000000000014,
    0.3166999999999999,
    0.5165000000000002,
    0.5775000000000002,
    0.5163,
    0.5454,
    0.5674000000000001,
    0.5280999999999997,
    0.5509999999999999,
    0.5541999999999998,
    0.5832999999999997,
    0.5620999999999999,
    0.5294,
    0.5572999999999997,
    0.28549999999999986,
    0.5877999999999998,
    0.5277999999999999,
    0.274,
    0.3076000000000001,
    0.5469999999999999,
    0.5235999999999997,
    0.5334000000000001,
    0.49220000000000014,
    0.5397000000000001,
    0.6011,
    0.5929999999999999,
    0.5988,
    0.3929,
    0.6224000000000002,
    0.4208999999999999,
    0.5711999999999997,
    0.5497,
    0.3142999999999998,
    0.5125,
    0.2733999999999998,
    0.5147999999999998,
    0.4498999999999999,
    0.5166000000000002,
    0.47909999999999975,
    0.4845000000000001,
    0.5583000000000001,
    0.6316999999999998,
    0.6107,
    0.6381000000000003,
    0.5972999999999999,
    0.6198,
    0.5097999999999999,
    0.5712999999999999,
    0.4919999999999999,
    0.5305999999999998,
    0.5447999999999998,
    0.4901999999999999,
    0.5816999999999999,
    0.5946999999999998,
    0.6234999999999997,
    0.5998,
    0.3377,
    0.5717000000000001,
    0.5301,
    0.48250000000000015,
    0.4805999999999999,
    0.2967,
    0.5865999999999999,
    0.3844999999999999,
    0.5741999999999999,
    0.5985000000000001,
    0.5933999999999998,
    0.5935999999999999,
    0.5596999999999999,
    0.3267000000000001,
    0.3398,
    0.2769999999999999,
    0.34980000000000006,
    0.6359000000000001,
    0.5635000000000001,
    0.5305999999999998,
    0.6066999999999999,
    0.6060999999999999,
    0.6049999999999998,
    0.5397,
    0.6103,
    0.5349,
    0.5926999999999998,
    0.5342000000000001,
    0.30129999999999996,
    0.46370000000000006,
    0.5438999999999998,
    0.5108999999999999,
    0.5182000000000002,
    0.4781,
    0.4802,
    0.5401999999999999,
    0.5193,
    0.5528,
    0.5617999999999999,
    0.5697000000000001,
    0.5264,
    0.6019000000000001,
    0.5598000000000002,
    0.6477000000000002,
    0.5694,
    0.5915999999999999,
    0.3476000000000001,
    0.3003000000000001,
    0.559,
    0.4517,
    0.28179999999999994,
    0.5069999999999998,
    0.5563999999999999,
    0.51,
    0.5397000000000001,
    0.591,
    0.542,
    0.5312,
    0.5315,
    0.5150000000000001,
    0.5559000000000002,
    0.3066999999999999,
    0.548,
    0.29389999999999994,
    0.5538000000000004,
    0.4887999999999999,
    0.28590000000000004,
    0.49810000000000004,
    0.45100000000000007,
    0.49380000000000007,
    0.46120000000000005,
    0.5463,
    0.47989999999999994,
    0.5551999999999998,
    0.5262,
    0.5299,
    0.5414000000000001,
    0.5411999999999999,
    0.5740000000000001,
    0.554,
    0.5478999999999999,
    0.608,
    0.34450000000000014,
    0.5346999999999997,
    0.2652999999999999,
    0.30889999999999984,
    0.3000999999999999,
    0.30749999999999994,
    0.5380000000000001,
    0.46879999999999994,
    0.5245999999999998,
    0.4942,
    0.5925000000000002,
    0.5297000000000002,
    0.6290999999999999,
    0.6149000000000001,
    0.5796999999999999,
    0.35640000000000005,
    0.5911999999999998,
    0.5166000000000002,
    0.4653999999999999,
    0.5214999999999999,
    0.5087000000000003,
    0.48589999999999994,
    0.46599999999999997,
    0.43939999999999996,
    0.5074999999999998,
    0.5321999999999999,
    0.5557,
    0.3193000000000001,
    0.5353000000000002,
    0.5760000000000002,
    0.5377999999999998,
    0.4946,
    0.32249999999999995,
    0.648,
    0.3714000000000001,
    0.5745000000000003,
    0.5796999999999999,
    0.37030000000000024,
    0.5546,
    0.5455,
    0.5243,
    0.5273,
    0.5710999999999998,
    0.48340000000000016,
    0.5465000000000001,
    0.3335,
    0.3695000000000001,
    0.3806,
    0.6108999999999999,
    0.6598999999999999,
    0.6648999999999999,
    0.6728000000000001,
    0.6357,
    0.6308000000000001,
    0.5722999999999999,
    0.3121999999999999,
    0.5398000000000001,
    0.45749999999999996,
    0.3279999999999999,
    0.5026000000000002,
    0.5463,
    0.33129999999999993,
    0.4849,
    0.5666000000000001,
    0.5535,
    0.5105000000000002,
    0.5483999999999999,
    0.6210000000000001,
    0.6305999999999999,
    0.5766,
    0.4894999999999998,
    0.5982,
    0.3755000000000001,
    0.46870000000000017,
    0.2712000000000001,
    0.5397999999999998,
    0.24830000000000002,
    0.3078000000000001,
    0.4798,
    0.5015000000000001,
    0.3317,
    0.5721000000000002,
    0.5341,
    0.2964000000000001,
    0.5454,
    0.5219,
    0.4862000000000001,
    0.24370000000000003,
    0.5346999999999997,
    0.5193999999999999,
    0.5811000000000001,
    0.29310000000000014,
    0.25960000000000005,
    0.4509,
    0.5094999999999998,
    0.4628,
    0.4598999999999999,
    0.4256000000000001,
    0.5115,
    0.5006999999999998,
    0.5421000000000001,
    0.5437,
    0.5284,
    0.5453000000000002,
    0.34950000000000003,
    0.5438999999999999,
    0.5486000000000001,
    0.5395,
    0.5079,
    0.43539999999999995,
    0.4679999999999999,
    0.49060000000000004,
    0.46789999999999987,
    0.5053000000000001,
    0.5377000000000002,
    0.6211,
    0.6085999999999998,
    0.6188,
    0.5695000000000001,
    0.6421,
    0.6002999999999998,
    0.5187000000000002,
    0.48800000000000004,
    0.49330000000000007,
    0.28940000000000005,
    0.34359999999999996,
    0.4849,
    0.5496000000000002,
    0.5803999999999998,
    0.5374000000000002,
    0.623,
    0.38430000000000003,
    0.5684000000000001,
    0.5074000000000003,
    0.5434000000000001,
    0.46199999999999997,
    0.5363000000000001,
    0.5989999999999998,
    0.5736000000000001,
    0.5640999999999999,
    0.37119999999999986,
    0.5793,
    0.5751,
    0.2896000000000001,
    0.48909999999999987,
    0.5769999999999998,
    0.33009999999999995,
    0.5928,
    0.3293000000000001,
    0.5992000000000001,
    0.5583000000000001,
    0.6016000000000002,
    0.36530000000000007,
    0.6034999999999999,
    0.37870000000000004,
    0.6060999999999998,
    0.5752,
    0.6007999999999999,
    0.40799999999999986,
    0.5754999999999998,
    0.2938,
    0.49949999999999983,
    0.4508,
    0.48019999999999996,
    0.5650999999999998,
    0.6047999999999999,
    0.6316999999999998,
    0.6379999999999998,
    0.6176000000000003,
    0.6209999999999999,
    0.6323000000000001,
    0.6046999999999998,
    0.6177,
    0.5539999999999999,
    0.6046000000000002,
    0.3687000000000001,
    0.3040999999999999,
    0.5479000000000003,
    0.4658999999999999,
    0.27480000000000004,
    0.45949999999999996,
    0.5904000000000001,
    0.5404999999999999,
    0.3436,
    0.5644000000000002,
    0.6122999999999997,
    0.39080000000000004,
    0.5852,
    0.6175999999999999,
    0.6090999999999999,
    0.5838,
    0.5931999999999998,
    0.5725,
    0.6224000000000001,
    0.5063999999999999,
    0.2627,
    0.5097999999999999,
    0.32170000000000004,
    0.47939999999999994,
    0.5153,
    0.2547000000000001,
    0.468,
    0.5198999999999999,
    0.5392000000000001,
    0.5768000000000003,
    0.37579999999999997,
    0.5714000000000002,
    0.31739999999999996,
    0.5724999999999997,
    0.29639999999999994,
    0.2904999999999999,
    0.5405,
    0.2788999999999999,
    0.3345,
    0.42989999999999995,
    0.4843,
    0.45010000000000006,
    0.44170000000000004,
    0.37110000000000004,
    0.6138999999999997,
    0.5426,
    0.5623999999999999,
    0.5287,
    0.5820999999999998,
    0.5400999999999998,
    0.5323,
    0.4743999999999999,
    0.35279999999999995,
    0.4831999999999999,
    0.5152,
    0.29380000000000006,
    0.4731000000000001,
    0.5883,
    0.5617999999999999,
    0.5608999999999998,
    0.5466000000000001,
    0.3379,
    0.5562000000000001,
    0.5378000000000001,
    0.5337000000000002,
    0.4748,
    0.5252000000000001,
    0.637,
    0.5650000000000001,
    0.6086000000000001,
    0.6168000000000001,
    0.6144999999999999,
    0.609,
    0.6072999999999998,
    0.3665,
    0.4006,
    0.3565000000000001,
    0.6664999999999998,
    0.6616999999999998,
    0.6364,
    0.3728000000000002,
    0.6317,
    0.43800000000000017,
    0.6270000000000002,
    0.5909999999999999,
    0.6071999999999997,
    0.5693999999999997,
    0.6050000000000002,
    0.5739999999999998,
    0.332,
    0.31539999999999996,
    0.45890000000000003,
    0.5161,
    0.5222999999999999,
    0.566,
    0.5507999999999997,
    0.5533,
    0.49500000000000005,
    0.5092,
    0.5738000000000002,
    0.5397999999999997,
    0.5863,
    0.5664000000000001,
    0.5815000000000002,
    0.5357999999999999,
    0.6004,
    0.6329000000000001,
    0.3314,
    0.5697,
    0.47559999999999997,
    0.2715,
    0.4562000000000001,
    0.3258000000000001,
    0.5026999999999999,
    0.5465999999999998,
    0.6143000000000001,
    0.5550999999999998,
    0.41960000000000025,
    0.5863999999999998,
    0.6342,
    0.33690000000000003,
    0.6039000000000001,
    0.3886,
    0.6194999999999998,
    0.5256000000000002,
    0.3286000000000001,
    0.33490000000000003,
    0.5546,
    0.5490000000000003,
    0.5624,
    0.5144000000000001,
    0.5379999999999998,
    0.32520000000000004,
    0.6194000000000001,
    0.5847,
    0.38480000000000003,
    0.5719999999999998,
    0.5768999999999996,
    0.48539999999999994,
    0.47719999999999996,
    0.34170000000000006,
    0.5468999999999999,
    0.30480000000000007,
    0.5051,
    0.5333,
    0.5574000000000001,
    0.6164000000000001,
    0.6504,
    0.6998999999999997,
    0.6346,
    0.6205000000000003,
    0.6144999999999998,
    0.5936000000000001,
    0.5486,
    0.4788,
    0.4795999999999998,
    0.4733,
    0.3015,
    0.3366,
    0.5609000000000001,
    0.5729,
    0.5196000000000001,
    0.5815000000000001,
    0.5111,
    0.3806000000000001,
    0.5579000000000002,
    0.49830000000000013,
    0.5008000000000001,
    0.34249999999999997,
    0.5835999999999998,
    0.5196999999999999,
    0.5831999999999999,
    0.5629,
    0.5308999999999999,
    0.5454,
    0.5607999999999997,
    0.3384000000000001,
    0.5826000000000001,
    0.3245000000000001,
    0.39880000000000004,
    0.6464,
    0.37800000000000006,
    0.3480000000000001,
    0.5759000000000001,
    0.4236,
    0.5900999999999998,
    0.40530000000000016,
    0.6102999999999998,
    0.6058000000000001,
    0.581,
    0.5140999999999999,
    0.26839999999999997,
    0.46589999999999987,
    0.5014000000000001,
    0.47500000000000003,
    0.2507,
    0.48720000000000013,
    0.30780000000000013,
    0.5162000000000001,
    0.47779999999999995,
    0.6020999999999999,
    0.5599000000000001,
    0.5913,
    0.6060999999999999,
    0.6006,
    0.29569999999999996,
    0.34340000000000004,
    0.5607,
    0.48309999999999986,
    0.2841000000000001,
    0.4844999999999999,
    0.5721999999999998,
    0.5042,
    0.5607000000000001,
    0.5848,
    0.5395999999999999,
    0.40440000000000004,
    0.521,
    0.6354999999999998,
    0.5841000000000001,
    0.404,
    0.5798999999999999,
    0.5483999999999999,
    0.5861,
    0.5757999999999999,
    0.3,
    0.535,
    0.5339999999999998,
    0.5182,
    0.48689999999999994,
    0.44570000000000004,
    0.4815,
    0.5455000000000001,
    0.5936000000000001,
    0.5688,
    0.5415000000000002,
    0.5834999999999999,
    0.5263999999999999,
    0.5543999999999999,
    0.4905999999999999,
    0.3032999999999999,
    0.28290000000000004,
    0.2763,
    0.45660000000000006,
    0.43720000000000003,
    0.5114,
    0.4605,
    0.4676000000000001,
    0.5221999999999998,
    0.6249,
    0.5490000000000003,
    0.5695000000000001,
    0.5522,
    0.6099,
    0.5645999999999999,
    0.5313999999999999,
    0.5304,
    0.5468999999999999,
    0.28739999999999993,
    0.486,
    0.5591000000000002,
    0.497,
    0.5651,
    0.3159,
    0.5457,
    0.45420000000000005,
    0.48519999999999996,
    0.47450000000000003,
    0.5715000000000001,
    0.6352999999999999,
    0.6156000000000001,
    0.6265999999999998,
    0.6564,
    0.5847000000000003,
    0.5718000000000001,
    0.587,
    0.5772,
    0.5634,
    0.5541999999999999,
    0.47000000000000014,
    0.5216999999999999,
    0.30590000000000006,
    0.4617,
    0.47369999999999995,
    0.48400000000000004,
    0.5691,
    0.5712,
    0.3362000000000001,
    0.5910000000000001,
    0.6003,
    0.6047999999999998,
    0.3255000000000002,
    0.5847999999999999,
    0.3529999999999999,
    0.2977,
    0.5087999999999999,
    0.4425000000000001,
    0.5201000000000001,
    0.4940999999999999,
    0.4357,
    0.28420000000000006,
    0.5421,
    0.5424,
    0.3088000000000002,
    0.5508000000000002,
    0.5276,
    0.5701999999999998,
    0.5450999999999999,
    0.5626000000000001,
    0.36699999999999994,
    0.5641,
    0.3497999999999999,
    0.2808,
    0.3362,
    0.42180000000000006,
    0.26270000000000004,
    0.4939,
    0.528,
    0.5188999999999999,
    0.5025,
    0.5508000000000002,
    0.5390000000000001,
    0.5777999999999998,
    0.5185000000000001,
    0.5902999999999998,
    0.5802000000000002,
    0.35589999999999994,
    0.5597999999999997,
    0.5501000000000003,
    0.5821,
    0.5370999999999999,
    0.2524,
    0.25910000000000016,
    0.5351999999999999,
    0.49549999999999994,
    0.4774,
    0.45650000000000013,
    0.5056,
    0.5533999999999998,
    0.5753999999999997,
    0.5963000000000002,
    0.5751999999999999,
    0.6079,
    0.3184000000000002,
    0.5952000000000002,
    0.5564999999999997,
    0.3136,
    0.5109,
    0.2812000000000001,
    0.4416,
    0.4885,
    0.3417,
    0.5253999999999999,
    0.5448000000000002,
    0.5668,
    0.5874000000000001,
    0.5613999999999999,
    0.3586999999999999,
    0.5977000000000001,
    0.5569999999999998,
    0.6166999999999999,
    0.6214000000000001,
    0.5193999999999999,
    0.5156000000000002,
    0.5006999999999999,
    0.6294999999999998,
    0.5252,
    0.3616999999999999,
    0.6295999999999998,
    0.6559,
    0.40520000000000006,
    0.6219,
    0.3347000000000001,
    0.5676000000000001,
    0.33530000000000004,
    0.5644000000000002,
    0.5359999999999999,
    0.2843,
    0.5474,
    0.4596999999999999,
    0.25029999999999997,
    0.45799999999999996,
    0.5409999999999998,
    0.4363999999999999,
    0.47239999999999993,
    0.4764,
    0.5295,
    0.3310999999999999,
    0.5627999999999999,
    0.5683999999999999,
    0.5312000000000002,
    0.6398,
    0.6116,
    0.5829999999999999,
    0.5888000000000002,
    0.6016999999999998,
    0.35490000000000005,
    0.5677999999999996,
    0.5811999999999997,
    0.3412000000000001,
    0.5844999999999998,
    0.30580000000000007,
    0.5215,
    0.5836,
    0.6124,
    0.42070000000000013,
    0.5723999999999999,
    0.5372,
    0.6194000000000002,
    0.5725999999999999,
    0.6107000000000001,
    0.5730999999999997,
    0.5716000000000001,
    0.5294999999999999,
    0.287,
    0.2929,
    0.43410000000000026,
    0.33180000000000004,
    0.4997000000000001,
    0.5075,
    0.31900000000000006,
    0.49319999999999997,
    0.5103,
    0.5458999999999998,
    0.5599000000000002,
    0.5242,
    0.5755999999999999,
    0.5908,
    0.6034000000000002,
    0.5778,
    0.6017999999999998,
    0.5869999999999999,
    0.33780000000000004,
    0.5676000000000001,
    0.473,
    0.3101,
    0.48990000000000006,
    0.5581999999999999,
    0.5098999999999999,
    0.5649000000000002,
    0.6103000000000002,
    0.5758999999999999,
    0.37340000000000007,
    0.5978999999999999,
    0.566,
    0.5901999999999998,
    0.3516,
    0.5732,
    0.567,
    0.5945999999999999,
    0.5318999999999997,
    0.27340000000000014,
    0.30950000000000005,
    0.5472,
    0.4915,
    0.5152000000000002,
    0.4752000000000002,
    0.5367000000000001,
    0.3106,
    0.5964,
    0.6041000000000001,
    0.5807999999999998,
    0.5822000000000002,
    0.31769999999999987,
    0.5664999999999998,
    0.47909999999999997,
    0.29259999999999986,
    0.48189999999999994,
    0.22890000000000002,
    0.4552999999999999,
    0.4308999999999999,
    0.49970000000000003,
    0.4964,
    0.47789999999999994,
    0.5644999999999999,
    0.5724000000000002,
    0.3549999999999999,
    0.5867000000000001,
    0.5650000000000002,
    0.5634000000000001,
    0.47529999999999994,
    0.47159999999999996,
    0.4216,
    0.28550000000000003,
    0.48929999999999996,
    0.4390999999999999,
    0.43370000000000014,
    0.5660000000000003,
    0.5577999999999997,
    0.2755000000000001,
    0.5573,
    0.2912,
    0.2935000000000001,
    0.4796999999999999,
    0.4709,
    0.46790000000000004,
    0.5219000000000001,
    0.5545999999999999,
    0.36169999999999997,
    0.5799999999999997,
    0.5818,
    0.5708,
    0.5509999999999999,
    0.5668999999999998,
    0.2918999999999999,
    0.5945000000000001,
    0.27030000000000004,
    0.5297,
    0.3432,
    0.5481999999999999,
    0.34390000000000004,
    0.5578999999999998,
    0.3656000000000001,
    0.5882999999999997,
    0.5992000000000002,
    0.5543999999999998,
    0.3752000000000001,
    0.5705999999999999,
    0.5256999999999998,
    0.31829999999999997,
    0.4766000000000001,
    0.5247000000000002,
    0.46389999999999987,
    0.5444,
    0.567,
    0.5791999999999999,
    0.5778,
    0.5747999999999999,
    0.5879000000000002,
    0.5499999999999998,
    0.5764,
    0.5473999999999999,
    0.6247000000000001,
    0.29739999999999983,
    0.5635000000000001,
    0.3653,
    0.30129999999999996,
    0.5328999999999997,
    0.46599999999999997,
    0.2971,
    0.5159999999999998,
    0.49169999999999997,
    0.5229000000000001,
    0.5427,
    0.6079999999999999,
    0.5688999999999999,
    0.5784,
    0.49119999999999997,
    0.6005999999999999,
    0.5757,
    0.5342999999999999,
    0.5594999999999996,
    0.5365999999999997,
    0.5365000000000002,
    0.5214000000000002,
    0.25500000000000006,
    0.4570000000000002,
    0.33879999999999993,
    0.5117999999999999,
    0.4953000000000001,
    0.4216000000000001,
    0.5001000000000001,
    0.5920000000000001,
    0.5630000000000001,
    0.5674,
    0.5869000000000001,
    0.6093000000000003,
    0.5787,
    0.5839999999999999,
    0.6079,
    0.31099999999999983,
    0.4742999999999999,
    0.3155,
    0.5451,
    0.4892,
    0.5711,
    0.5749,
    0.5183,
    0.3632000000000001,
    0.6352999999999999,
    0.4274,
    0.6083999999999999,
    0.5369999999999999,
    0.6129000000000001,
    0.5799000000000001,
    0.28929999999999995,
    0.5213,
    0.45790000000000003,
    0.4665000000000001,
    0.44469999999999993,
    0.4888000000000002,
    0.23840000000000008,
    0.4718999999999998,
    0.32070000000000004,
    0.3077,
    0.5760000000000002,
    0.5661,
    0.5618,
    0.5499999999999999,
    0.49149999999999994,
    0.5154000000000001,
    0.4991,
    0.5165,
    0.46279999999999993,
    0.2567999999999999,
    0.5821,
    0.3440000000000001,
    0.5613000000000001,
    0.3379,
    0.6256999999999998,
    0.5667,
    0.5736999999999997,
    0.3473,
    0.5540999999999999,
    0.296,
    0.5956,
    0.5768,
    0.3533,
    0.5724,
    0.6415000000000001,
    0.3582,
    0.6038000000000001,
    0.6112000000000001,
    0.6071,
    0.5156999999999998,
    0.5501999999999999,
    0.5550999999999999,
    0.2972000000000001,
    0.5304000000000001,
    0.43670000000000003,
    0.47239999999999993,
    0.5823000000000002,
    0.5333,
    0.6006999999999999,
    0.5419,
    0.6050000000000001,
    0.5759999999999998,
    0.5894999999999998,
    0.5431,
    0.6013999999999999,
    0.5904000000000004,
    0.5932999999999999,
    0.5677999999999997,
    0.5024000000000002,
    0.31179999999999997,
    0.31630000000000014,
    0.3131999999999999,
    0.5619000000000002,
    0.36080000000000007,
    0.5832999999999999,
    0.5914999999999999,
    0.6062000000000002,
    0.6040000000000002,
    0.6142999999999998,
    0.597,
    0.6116999999999998,
    0.6277,
    0.5923999999999998,
    0.5945999999999998,
    0.4031999999999999,
    0.6223000000000002,
    0.5124,
    0.2816000000000001,
    0.44249999999999995,
    0.5161000000000001,
    0.30449999999999994,
    0.29500000000000004,
    0.4526,
    0.5087,
    0.4934999999999999,
    0.5532,
    0.48469999999999996,
    0.5617999999999999,
    0.5591999999999999,
    0.38049999999999984,
    0.5600999999999998,
    0.5384,
    0.3027,
    0.25659999999999994,
    0.28139999999999993,
    0.4455000000000001,
    0.45659999999999995,
    0.5443999999999999,
    0.33630000000000004,
    0.5101000000000002,
    0.5934999999999999,
    0.6176,
    0.6526000000000002,
    0.6122,
    0.5624,
    0.6278000000000005,
    0.5864999999999999,
    0.5807999999999999,
    0.5429999999999998,
    0.5830000000000001,
    0.5789,
    0.5733999999999998,
    0.595,
    0.5172999999999998,
    0.6177999999999999,
    0.5293000000000001,
    0.4348,
    0.5566000000000001,
    0.5848999999999999,
    0.5039999999999999,
    0.5713999999999998,
    0.6216,
    0.5891000000000001,
    0.6260000000000001,
    0.38079999999999997,
    0.5883999999999999,
    0.3464999999999999,
    0.5195000000000002,
    0.3164,
    0.5129999999999998,
    0.4680999999999999,
    0.434,
    0.45749999999999985,
    0.44409999999999994,
    0.5037,
    0.5520999999999999,
    0.5150999999999999,
    0.4656999999999998,
    0.4099000000000001,
    0.41610000000000014,
    0.42360000000000003,
    0.44940000000000013,
    0.27880000000000005,
    0.5450999999999998,
    0.3121,
    0.2958,
    0.2611,
    0.5612,
    0.5074000000000002,
    0.3038999999999999,
    0.2729000000000001,
    0.5846,
    0.34940000000000004,
    0.5718999999999999,
    0.3197000000000002,
    0.5886,
    0.6024,
    0.5557,
    0.30130000000000007,
    0.4803999999999999,
    0.48519999999999996,
    0.5153,
    0.4677000000000001,
    0.4230000000000001,
    0.4606999999999999,
    0.30029999999999996,
    0.4666999999999998,
    0.5313000000000002,
    0.5106,
    0.5572999999999999,
    0.5044,
    0.56,
    0.5647000000000002,
    0.5674999999999998,
    0.33129999999999993,
    0.6245000000000002,
    0.5672999999999997,
    0.5619999999999999,
    0.5644,
    0.5896,
    0.5716,
    0.48969999999999986,
    0.6043000000000001,
    0.6199,
    0.5894000000000001,
    0.3543000000000002,
    0.6237,
    0.5400000000000003,
    0.6205,
    0.6225999999999999,
    0.6355,
    0.6166999999999998,
    0.5424000000000001,
    0.6120000000000001,
    0.5915,
    0.6173,
    0.5976999999999999,
    0.5604999999999998,
    0.6006,
    0.5348,
    0.5915,
    0.6302,
    0.6169999999999998,
    0.6255,
    0.6528999999999999,
    0.6279999999999998,
    0.6451999999999999,
    0.6247999999999998,
    0.5788000000000001,
    0.6024,
    0.6003999999999998,
    0.6023999999999999,
    0.5350999999999999,
    0.6238999999999998,
    0.6028000000000001,
    0.38170000000000004,
    0.5660999999999999,
    0.3524,
    0.5237999999999999,
    0.34309999999999985,
    0.3386,
    0.5210999999999999,
    0.24279999999999993,
    0.5067999999999999,
    0.5169999999999998,
    0.46449999999999997,
    0.4205999999999999,
    0.464,
    0.449,
    0.4280999999999999,
    0.30459999999999987,
    0.5073999999999999,
    0.5037999999999999,
    0.4498,
    0.4936999999999998,
    0.5074000000000001,
    0.44250000000000006,
    0.24809999999999993,
    0.4531000000000001,
    0.5246999999999998,
    0.32910000000000006,
    0.2749000000000001,
    0.5073000000000002,
    0.4205,
    0.23299999999999998,
    0.21800000000000003,
    0.4784,
    0.42910000000000004,
    0.4224999999999998,
    0.4324,
    0.4333999999999999,
    0.46019999999999994,
    0.4246999999999999,
    0.22860000000000005,
    0.49319999999999997,
    0.5251000000000001,
    0.5404000000000002,
    0.5295999999999998,
    0.35270000000000007,
    0.5126,
    0.5865,
    0.495,
    0.48369999999999996,
    0.494,
    0.4100999999999999,
    0.39479999999999993,
    0.46659999999999996,
    0.4212,
    0.4659999999999999,
    0.38899999999999996,
    0.45160000000000006,
    0.4722999999999999,
    0.5346,
    0.5148,
    0.2733999999999999,
    0.42229999999999995,
    0.42580000000000007,
    0.43499999999999994,
    0.49820000000000014,
    0.2783000000000001,
    0.48979999999999996,
    0.4602000000000001,
    0.4983999999999999,
    0.4390000000000001,
    0.4706,
    0.4264000000000001,
    0.25769999999999993,
    0.4535,
    0.46470000000000006,
    0.5097,
    0.26810000000000006,
    0.5336000000000001,
    0.5123999999999999,
    0.2748999999999998,
    0.24989999999999993,
    0.29610000000000003,
    0.2799999999999999,
    0.5820999999999998,
    0.3135000000000001,
    0.5402999999999999,
    0.5845999999999997,
    0.49400000000000005,
    0.30879999999999985,
    0.5911999999999998,
    0.5576999999999998,
    0.32999999999999996,
    0.5538000000000001,
    0.5678000000000001,
    0.5122,
    0.5455999999999999,
    0.5491999999999997,
    0.4914999999999998,
    0.4798,
    0.5184,
    0.5045,
    0.5085000000000001,
    0.2596,
    0.4436,
    0.47,
    0.2546999999999999,
    0.45819999999999994,
    0.4435,
    0.5603999999999999,
    0.3429,
    0.36069999999999997,
    0.29980000000000007,
    0.5423000000000001,
    0.26209999999999994,
    0.43370000000000003,
    0.5423000000000002,
    0.49250000000000005,
    0.3107,
    0.5316000000000002,
    0.4916999999999999,
    0.6027,
    0.2596999999999999,
    0.5356000000000001,
    0.4963,
    0.5412999999999998,
    0.48969999999999975,
    0.327,
    0.5498999999999998,
    0.6317000000000002,
    0.5737999999999999,
    0.3702000000000002,
    0.5139999999999997,
    0.38030000000000014,
    0.38119999999999993,
    0.5658000000000001,
    0.48340000000000005,
    0.5861000000000001,
    0.5688,
    0.6031000000000001,
    0.5413,
    0.47619999999999996,
    0.5576,
    0.4952000000000001,
    0.6036999999999999,
    0.5565999999999997,
    0.6413999999999996,
    0.5876999999999999,
    0.3818,
    0.3237,
    0.29449999999999993,
    0.5008999999999999,
    0.5518000000000001,
    0.5096999999999999,
    0.5684999999999999,
    0.5507,
    0.5764999999999998,
    0.5683000000000002,
    0.6004999999999998,
    0.5949000000000001,
    0.5993999999999999,
    0.4886,
    0.49600000000000005,
    0.6449,
    0.5082999999999999,
    0.5675000000000001,
    0.5477999999999998,
    0.5469,
    0.5465,
    0.5278999999999999,
    0.5390999999999999,
    0.5013999999999998,
    0.3019,
    0.5661999999999999,
    0.5146999999999999,
    0.6007,
    0.5650999999999997,
    0.5688,
    0.32740000000000014,
    0.4892000000000001,
    0.3846,
    0.5448,
    0.6494,
    0.5809999999999998,
    0.5912000000000002,
    0.5412000000000002,
    0.6224,
    0.6342000000000001,
    0.6224,
    0.6224,
    0.6572,
    0.6244000000000001,
    0.6108999999999997,
    0.5463,
    0.3652,
    0.3796000000000001,
    0.3578000000000001,
    0.6123000000000001,
    0.3959999999999999,
    0.5412999999999999,
    0.5980000000000002,
    0.6327999999999997,
    0.5895000000000001,
    0.7110999999999997,
    0.43160000000000004,
    0.6634000000000001,
    0.6557,
    0.7022999999999998,
    0.5915,
    0.6897,
    0.7119999999999999,
    0.6166999999999999,
    0.4079,
    0.6477,
    0.4117000000000001,
    0.5504999999999999,
    0.5896999999999998,
    0.5927000000000002,
    0.5532999999999998,
    0.5949999999999996,
    0.6307999999999999,
    0.5932999999999999,
    0.3568000000000001,
    0.6296999999999999,
    0.6155999999999999,
    0.33380000000000004,
    0.6004999999999999,
    0.3609000000000001,
    0.30500000000000016,
    0.2749,
    0.5358999999999999,
    0.2924999999999999,
    0.49939999999999996,
    0.5844000000000001,
    0.5165,
    0.4776999999999999,
    0.5321,
    0.5028999999999999,
    0.2781,
    0.5154999999999997,
    0.2896999999999998,
    0.5239999999999999,
    0.4830000000000001,
    0.4862,
    0.5363999999999999,
    0.5728000000000001,
    0.5123,
    0.5435,
    0.5156000000000001,
    0.5344999999999999,
    0.4943,
    0.46620000000000006,
    0.42650000000000016,
    0.4934,
    0.3110000000000001,
    0.4547999999999999,
    0.5256,
    0.5085999999999998,
    0.47540000000000004,
    0.3147999999999999,
    0.5015999999999999,
    0.48109999999999997,
    0.46919999999999995,
    0.5135000000000001,
    0.5364,
    0.5389,
    0.5490999999999999,
    0.3056,
    0.5306000000000001,
    0.6085,
    0.5609999999999997,
    0.5554,
    0.5067,
    0.5126999999999999,
    0.44860000000000005,
    0.48709999999999987,
    0.2693999999999999,
    0.48199999999999993,
    0.49699999999999983,
    0.5267000000000002,
    0.47930000000000006,
    0.4974,
    0.2371999999999999,
    0.4249000000000002,
    0.4436999999999999,
    0.5068999999999999,
    0.46980000000000005,
    0.4742,
    0.49039999999999995,
    0.4758000000000001,
    0.45259999999999995,
    0.4941999999999999,
    0.48130000000000006,
    0.4870000000000001,
    0.5299999999999998,
    0.48190000000000005,
    0.4739,
    0.4517,
    0.5478,
    0.47140000000000004,
    0.47389999999999993,
    0.4932999999999999,
    0.4978,
    0.5121,
    0.29340000000000005,
    0.4868999999999998,
    0.4824,
    0.5063,
    0.5208999999999999,
    0.5215999999999998,
    0.5376999999999996,
    0.5198,
    0.45289999999999975,
    0.5045000000000002,
    0.5097999999999999,
    0.33945000000000003,
    0.42895,
    0.4781499999999999,
    0.4444,
    0.5131000000000002,
    0.4619000000000001,
    0.4968,
    0.5223999999999999,
    0.4683,
    0.515,
    0.23870000000000005,
    0.456,
    0.4272,
    0.49619999999999986,
    0.23440000000000003,
    0.49990000000000007,
    0.495,
    0.25285,
    0.27035000000000003,
    0.5077499999999998,
    0.2618500000000001,
    0.5393499999999999,
    0.5328499999999998,
    0.5995499999999999
  ],
  "ppII": [
    0.07235799729824066,
    0.07919993996620178,
    0.0848521888256073,
    0.09556326270103455,
    0.11070798337459564,
    0.1321902573108673,
    0.1462828814983368,
    0.14909449219703674,
    0.147140234708786,
    0.14162299036979675,
    0.14876702427864075,
    0.16742411255836487,
    0.1755283772945404,
    0.16749617457389832,
    0.16198669373989105,
    0.1690147966146469,
    0.16613124310970306,
    0.14391018450260162,
    0.10760989785194397,
    0.07223086059093475,
    0.04668191075325012,
    0.041853904724121094,
    0.03730339556932449,
    0.02763177454471588,
    0.002628875430673361,
    -0.01601054286584258,
    -0.03108490677550435,
    -0.031157694291323423,
    -0.025085884612053633,
    -0.019090589601546526,
    0.0036786608397960663,
    0.021905732806771994,
    0.056027914863079786,
    0.09535858826711774,
    0.12915509985759854,
    0.15439357934519649,
    0.16501430002972484,
    0.16325427358970046,
    0.14840185223147273,
    0.13663745718076825,
    0.12979737995192409,
    0.12553305085748434,
    0.12030461011454463,
    0.1199319139122963,
    0.11284672887995839,
    0.09562077792361379,
    0.07606906862929463,
    0.0662524807266891,
    0.06510659726336598,
    0.06834813626483083,
    0.07717956276610494,
    0.08067646296694875,
    0.08360039861872792,
    0.09659108193591237,
    0.11405394645407796,
    0.13494592579081655,
    0.1390400198288262,
    0.13439888088032603,
    0.12630159268155694,
    0.11451188055798411,
    0.11478610103949904,
    0.11992430267855525,
    0.12096666870638728,
    0.10750152776017785,
    0.10586939984932542,
    0.12416795222088695,
    0.15062331641092896,
    0.15018975595012307,
    0.14821912674233317,
    0.1383698214776814,
    0.13038638653233647,
    0.11633055750280619,
    0.1152866673655808,
    0.1065095835365355,
    0.09931157901883125,
    0.069633306004107,
    0.053020082879811525,
    0.05035213427618146,
    0.05887799197807908,
    0.06825215695425868,
    0.07769231358543038,
    0.08880819706246257,
    0.11841794988140464,
    0.14257768215611577,
    0.16640643402934074,
    0.18005334166809916,
    0.19534404668956995,
    0.18716758117079735,
    0.17533594416454434,
    0.14462984213605523,
    0.121763217728585,
    0.10989210428670049,
    0.11032048938795924,
    0.11233182856813073,
    0.10243545798584819,
    0.10226706555113196,
    0.09601980308070779,
    0.10096844146028161,
    0.11591225443407893,
    0.10822172882035375,
    0.09303223853930831,
    0.08268617000430822,
    0.07816928764805198,
    0.08089463785290718,
    0.08469732152298093,
    0.08684792229905725,
    0.08422693097963929,
    0.08644823031499982,
    0.07959251431748271,
    0.09252839582040906,
    0.09794751880690455,
    0.091611263807863,
    0.08197115687653422,
    0.07266254862770438,
    0.06694739405065775,
    0.06835116865113378,
    0.06574812391772866,
    0.0758245550096035,
    0.09998001251369715,
    0.12634437577798963,
    0.14353086799383163,
    0.15705229388549924,
    0.1629181015305221,
    0.15783822303637862,
    0.1443519121967256,
    0.12190572079271078,
    0.09829349210485816,
    0.07777263084426522,
    0.06278455909341574,
    0.0596099398098886,
    0.0646795672364533,
    0.06785848829895258,
    0.07758274581283331,
    0.0832810034044087,
    0.09570843959227204,
    0.0918187415227294,
    0.08599016163498163,
    0.08818191196769476,
    0.09591103997081518,
    0.1034059589728713,
    0.11871051928028464,
    0.11288856854662299,
    0.11156639317050576,
    0.10244156187400222,
    0.09115339210256934,
    0.09101753262802958,
    0.08217866811901331,
    0.07780770538374782,
    0.08077628025785089,
    0.08501766761764884,
    0.10548873012885451,
    0.12420808570459485,
    0.12934848433360457,
    0.11614500870928168,
    0.10421754932031035,
    0.10207344498485327,
    0.11650486057624221,
    0.1263845101930201,
    0.14455584529787302,
    0.14240006729960442,
    0.13799211056903005,
    0.13941523525863886,
    0.14059454947710037,
    0.13438007840886712,
    0.141067314427346,
    0.1432733596302569,
    0.13225201657041907,
    0.11910888133570552,
    0.11950806761160493,
    0.1177199543453753,
    0.1237856587395072,
    0.13421598682180047,
    0.13903523096814752,
    0.14090912463143468,
    0.1369893723167479,
    0.13813445484265685,
    0.13285967288538814,
    0.13644025521352887,
    0.13792281597852707,
    0.13427510997280478,
    0.13060114393010736,
    0.134477102663368,
    0.15222345618531108,
    0.18704887619242072,
    0.19947235193103552,
    0.20640212204307318,
    0.19837630866095424,
    0.18180909426882863,
    0.15257419692352414,
    0.12785820243880153,
    0.11175979534164071,
    0.0991226052865386,
    0.11149981711059809,
    0.13099498162046075,
    0.16249330434948206,
    0.20156787941232324,
    0.2412291276268661,
    0.2644860139116645,
    0.2632109639234841,
    0.2537323418073356,
    0.2514279424212873,
    0.240099782589823,
    0.22341941623017192,
    0.19448436703532934,
    0.16273560980334878,
    0.13108206959441304,
    0.10913656698539853,
    0.10247107176110148,
    0.10626853350549936,
    0.11508826492354274,
    0.12232009181752801,
    0.1168164643459022,
    0.11674418346956372,
    0.11238685389980674,
    0.10772457858547568,
    0.10457449313253164,
    0.10533317597582936,
    0.08862952189520001,
    0.07221796503290534,
    0.05605228152126074,
    0.05206656036898494,
    0.05446110246703029,
    0.050342034082859755,
    0.05381533596664667,
    0.05644733039662242,
    0.07580542704090476,
    0.09047989128157496,
    0.11405491596087813,
    0.13756787357851863,
    0.17546984599903226,
    0.1978292283602059,
    0.2067140839062631,
    0.19515867298468947,
    0.1663226350210607,
    0.12960031954571605,
    0.10485461400821805,
    0.08829509885981679,
    0.08238266501575708,
    0.08129046019166708,
    0.06582690821960568,
    0.056295078713446856,
    0.05471752490848303,
    0.05731411324813962,
    0.052129149436950684,
    0.05064533557742834,
    0.057632704731076956,
    0.07553980918601155,
    0.08174423361197114,
    0.08562416257336736,
    0.09400586085394025,
    0.10625209519639611,
    0.11658023204654455,
    0.11498788092285395,
    0.10459255008026958,
    0.09834589390084147,
    0.09604331897571683,
    0.09689403651282191,
    0.09868164686486125,
    0.08291471656411886,
    0.07312432583421469,
    0.0662198574282229,
    0.06395636731758714,
    0.07102640578523278,
    0.07203776063397527,
    0.07402853341773152,
    0.08580771181732416,
    0.1065663299523294,
    0.13563257595524192,
    0.1642283913679421,
    0.1837790054269135,
    0.1906740004196763,
    0.1724901907145977,
    0.14504959853366017,
    0.11372616980224848,
    0.09056917577981949,
    0.08131915936246514,
    0.08233812777325511,
    0.08883315930142999,
    0.08815958490595222,
    0.09017982752993703,
    0.1019314699806273,
    0.10703375982120633,
    0.11194109078496695,
    0.1254580905660987,
    0.1276271715760231,
    0.12260450283065438,
    0.12375092273578048,
    0.125495461281389,
    0.11756634758785367,
    0.10086277918890119,
    0.08427165495231748,
    0.07807166548445821,
    0.07144204387441278,
    0.08036070642992854,
    0.08893758384510875,
    0.10101061360910535,
    0.11404500482603908,
    0.13143948977813125,
    0.14778996678069234,
    0.16883128369227052,
    0.19885215675458312,
    0.21199154248461127,
    0.21217904845252633,
    0.18996767746284604,
    0.16535908076912165,
    0.1395334959961474,
    0.11729475948959589,
    0.10635980078950524,
    0.09302322892472148,
    0.08497074013575912,
    0.08573361160233617,
    0.10013392893597484,
    0.08047966519370675,
    0.057698031421750784,
    0.053394520189613104,
    0.07250258233398199,
    0.09065241413190961,
    0.1086914874613285,
    0.112993982154876,
    0.10457137133926153,
    0.08928502257913351,
    0.08310929173603654,
    0.08921456383541226,
    0.09717948036268353,
    0.09532760409638286,
    0.0874424735084176,
    0.07404310582205653,
    0.061325672548264265,
    0.05546230962499976,
    0.050192289520055056,
    0.059068817645311356,
    0.06427607033401728,
    0.08801547298207879,
    0.1015559658408165,
    0.12343356152996421,
    0.1496691289357841,
    0.1781831723637879,
    0.18993296893313527,
    0.18677630508318543,
    0.16941657336428761,
    0.14336025761440396,
    0.13759893830865622,
    0.1385394218377769,
    0.14020081283524632,
    0.12291495595127344,
    0.11116349091753364,
    0.09151241974905133,
    0.0804340117610991,
    0.07290440704673529,
    0.06648632045835257,
    0.06373500591143966,
    0.07417262345552444,
    0.0900430385954678,
    0.10859837802127004,
    0.12461101775988936,
    0.13124563312157989,
    0.14060197258368134,
    0.15442610392346978,
    0.1527904188260436,
    0.14449378196150064,
    0.11184612242504954,
    0.08457067189738154,
    0.06714954087510705,
    0.052305035293102264,
    0.051091383676975965,
    0.062370382715016603,
    0.07019671471789479,
    0.09268233506008983,
    0.12176459329202771,
    0.1477693379856646,
    0.1730350418947637,
    0.17525164550170302,
    0.1595596461556852,
    0.13777576899155974,
    0.1116507425904274,
    0.10856161778792739,
    0.1211604317650199,
    0.14981840644031763,
    0.1780827329494059,
    0.19529689522460103,
    0.19156077597290277,
    0.16815440775826573,
    0.1387320631183684,
    0.11245205579325557,
    0.10176994698122144,
    0.09700029855594039,
    0.10693710437044501,
    0.11666698521003127,
    0.1314823441207409,
    0.14722715457901359,
    0.17436620267108083,
    0.199403986800462,
    0.21084473142400384,
    0.20100353006273508,
    0.19538167444989085,
    0.18211060808971524,
    0.15412126807495952,
    0.1240833499468863,
    0.09690309828147292,
    0.083077282179147,
    0.08033952908590436,
    0.07818860420957208,
    0.084885208401829,
    0.09853753028437495,
    0.11357803223654628,
    0.1408664765767753,
    0.17293729865923524,
    0.1800568145699799,
    0.1659356034360826,
    0.15001646289601922,
    0.11408350523561239,
    0.09589235857129097,
    0.09278957592323422,
    0.09728624438866973,
    0.099614926148206,
    0.09887522552162409,
    0.08736537722870708,
    0.08118011150509119,
    0.06886637303978205,
    0.05124298809096217,
    0.038854450918734074,
    0.022531041409820318,
    0.005202269647270441,
    -0.00391022115945816,
    0.0015315241180360317,
    0.019344572443515062,
    0.04134180909022689,
    0.05259664403274655,
    0.06391291739419103,
    0.07334562437608838,
    0.0755787449888885,
    0.07512668101117015,
    0.07490829424932599,
    0.07669125823304057,
    0.07430814951658249,
    0.06462155422195792,
    0.06429250398650765,
    0.05988769652321935,
    0.05909633683040738,
    0.06529172649607062,
    0.06887291604653001,
    0.08171230647712946,
    0.10182228730991483,
    0.10965068405494094,
    0.11268414184451103,
    0.12712751235812902,
    0.14518971415236592,
    0.17871804302558303,
    0.19822114752605557,
    0.19398461049422622,
    0.16317434469237924,
    0.12304032500833273,
    0.09901812579482794,
    0.09143589856103063,
    0.07962992880493402,
    0.07935026194900274,
    0.07674277620390058,
    0.071963079739362,
    0.06691036280244589,
    0.06685757730156183,
    0.06211990723386407,
    0.07167380955070257,
    0.08881181897595525,
    0.10590937407687306,
    0.10626551415771246,
    0.1048324010334909,
    0.11227693548426032,
    0.12191583821550012,
    0.13075070967897773,
    0.12237686011940241,
    0.10484452592208982,
    0.08560322551056743,
    0.07208214746788144,
    0.06296406267210841,
    0.0679164263419807,
    0.07697534235194325,
    0.09582266863435507,
    0.12036423990502954,
    0.14241132931783795,
    0.15370399365201592,
    0.1556242243386805,
    0.1404212354682386,
    0.12778310989961028,
    0.11644255043938756,
    0.11333536356687546,
    0.13078714674338698,
    0.1480815871618688,
    0.15737313125282526,
    0.1488876766525209,
    0.12423805566504598,
    0.103956357575953,
    0.08999585779383779,
    0.09255272010341287,
    0.09212299762293696,
    0.10279607633128762,
    0.1114297597669065,
    0.13308815751224756,
    0.15227690991014242,
    0.17529651010408998,
    0.179923374671489,
    0.17395575251430273,
    0.18237592931836843,
    0.19003000436350703,
    0.17082956479862332,
    0.1528346943669021,
    0.14132328005507588,
    0.12846263824030757,
    0.11234889226034284,
    0.0904547250829637,
    0.08732630917802453,
    0.09792998107150197,
    0.11655696807429194,
    0.1432013246230781,
    0.16067731427028775,
    0.16341952374204993,
    0.1445176056586206,
    0.11822351580485702,
    0.10096330102533102,
    0.09288801765069366,
    0.09054456045851111,
    0.10315200546756387,
    0.11779867019504309,
    0.1385650346055627,
    0.1498541566543281,
    0.15164657030254602,
    0.14117592060938478,
    0.13817040203139186,
    0.13741856208071113,
    0.12350555183365941,
    0.10089536337181926,
    0.07682990515604615,
    0.06690498953685164,
    0.06444315006956458,
    0.06962393131107092,
    0.07889382587745786,
    0.07914830418303609,
    0.07213555136695504,
    0.07633003918454051,
    0.08384251175448298,
    0.09286882588639855,
    0.10676019638776779,
    0.12383180251345038,
    0.12118691205978394,
    0.11126432800665498,
    0.09467626502737403,
    0.0752739985473454,
    0.06930508837103844,
    0.06778356526046991,
    0.07797551481053233,
    0.0963637693785131,
    0.11099515156820416,
    0.1414783406071365,
    0.17248941585421562,
    0.19412149116396904,
    0.1982474415563047,
    0.19494251301512122,
    0.1668995157815516,
    0.13369116792455316,
    0.11913495557382703,
    0.10877668531611562,
    0.09949319902807474,
    0.0977578004822135,
    0.09199632750824094,
    0.08508148463442922,
    0.08122834609821439,
    0.07826892612501979,
    0.08312547439709306,
    0.08501433907076716,
    0.09641514206305146,
    0.11366890044882894,
    0.11442971602082253,
    0.10922338580712676,
    0.11340501671656966,
    0.12444724747911096,
    0.1301413862966001,
    0.122513965703547,
    0.09921482531353831,
    0.09231153456494212,
    0.0779946562834084,
    0.06327130971476436,
    0.06774283526465297,
    0.061630230862647295,
    0.06034554401412606,
    0.07455362426117063,
    0.09583608852699399,
    0.11361209163442254,
    0.12771252682432532,
    0.14916243916377425,
    0.16387639241293073,
    0.18160628294572234,
    0.1747878552414477,
    0.17317761154845357,
    0.1695773177780211,
    0.14714595768600702,
    0.11083978926762938,
    0.08276512892916799,
    0.06993978563696146,
    0.06093284161761403,
    0.06855903612449765,
    0.06951443431898952,
    0.08265665406361222,
    0.09538408508524299,
    0.10129476571455598,
    0.11036556120961905,
    0.12163654854521155,
    0.13708133390173316,
    0.15133200492709875,
    0.16207320662215352,
    0.14625939587131143,
    0.12315420852974057,
    0.1088891220279038,
    0.08952424256131053,
    0.07795964973047376,
    0.06631695060059428,
    0.06896126409992576,
    0.08460567379370332,
    0.10809808550402522,
    0.1344146910123527,
    0.152634562458843,
    0.17553381668403745,
    0.18297232827171683,
    0.19095100136473775,
    0.19626693660393357,
    0.2181368819437921,
    0.23995422711595893,
    0.24231800297275186,
    0.23114472022280097,
    0.20004619751125574,
    0.16373330960050225,
    0.14123587403446436,
    0.14089134382084012,
    0.147951680701226,
    0.1475256043486297,
    0.14652005722746253,
    0.15032269386574626,
    0.16546083660796285,
    0.14917929144576192,
    0.12939405487850308,
    0.114319889806211,
    0.10238252626731992,
    0.1032726732082665,
    0.09980079857632518,
    0.10384445497766137,
    0.11256081191822886,
    0.12143461080268025,
    0.13158056465908885,
    0.1571354423649609,
    0.1908127968199551,
    0.21217005280777812,
    0.20172032760456204,
    0.16704556671902537,
    0.13609940139576793,
    0.10588588705286384,
    0.08660083916038275,
    0.08606424555182457,
    0.07806204352527857,
    0.08217513421550393,
    0.08234850317239761,
    0.08923798846080899,
    0.10125028667971492,
    0.12695198599249125,
    0.15783180063590407,
    0.17620224552229047,
    0.16504278173670173,
    0.1318109049461782,
    0.09514922555536032,
    0.07347479602321982,
    0.05277239205315709,
    0.04668687377125025,
    0.046983457170426846,
    0.03480860684067011,
    0.03260281169787049,
    0.03984673647210002,
    0.06272499589249492,
    0.08172272192314267,
    0.09663041727617383,
    0.11428196122869849,
    0.11635921243578196,
    0.12699233880266547,
    0.14278601994737983,
    0.1615362367592752,
    0.16282832017168403,
    0.1436024964787066,
    0.11412277584895492,
    0.10937734041363001,
    0.11592537490651011,
    0.11028200713917613,
    0.09007523534819484,
    0.07756554754450917,
    0.07273210166022182,
    0.07345937239006162,
    0.0741026378236711,
    0.07878213888034225,
    0.09423352684825659,
    0.11037607258185744,
    0.13493698416277766,
    0.16465503489598632,
    0.19556853314861655,
    0.21607085736468434,
    0.2061299760825932,
    0.18612606916576624,
    0.14859478967264295,
    0.11954559059813619,
    0.10205634776502848,
    0.09528444381430745,
    0.09540788410231471,
    0.10273137269541621,
    0.11841479921713471,
    0.14065382024273276,
    0.16224177088588476,
    0.17866898654028773,
    0.18932130094617605,
    0.18077669339254498,
    0.1837381785735488,
    0.18782094726338983,
    0.17952333996072412,
    0.17055042879655957,
    0.16558211669325829,
    0.1451825057156384,
    0.11802574107423425,
    0.09945959830656648,
    0.08688243525102735,
    0.08178679225966334,
    0.0871415245346725,
    0.10476357070729136,
    0.12804942717775702,
    0.15808706590905786,
    0.178994236048311,
    0.19309909315779805,
    0.1942899664863944,
    0.17320292117074132,
    0.13495998736470938,
    0.11266156891360879,
    0.093138188123703,
    0.0846678176894784,
    0.08404747722670436,
    0.0811548912897706,
    0.08893231535330415,
    0.09722088603302836,
    0.10040266858413815,
    0.07840784639120102,
    0.049427959602326155,
    0.03647592570632696,
    0.03503616573289037,
    0.04061561869457364,
    0.05731928255409002,
    0.05811137706041336,
    0.0579509399831295,
    0.06194595666602254,
    0.07256371388211846,
    0.08382453350350261,
    0.09010259481146932,
    0.08123254822567105,
    0.07737219659611583,
    0.07166903791949153,
    0.06236947001889348,
    0.05538909276947379,
    0.05579587956890464,
    0.07020432921126485,
    0.09899935219436884,
    0.12716155545786023,
    0.128783802036196,
    0.13276750640943646,
    0.14684087364003062,
    0.16702498169615865,
    0.17705045314505696,
    0.17996079614385962,
    0.1644259667955339,
    0.1461284072138369,
    0.1415856354869902,
    0.1524115758948028,
    0.1485631880350411,
    0.13218203792348504,
    0.12279152031987906,
    0.11621882673352957,
    0.10618688771501184,
    0.10338658513501287,
    0.10975600825622678,
    0.12185341631993651,
    0.13944615935906768,
    0.17111306870356202,
    0.202182334382087,
    0.2201896016485989,
    0.227500069886446,
    0.22843484906479716,
    0.21910505602136254,
    0.1939219911582768,
    0.16007751319557428,
    0.1255324142985046,
    0.08949600486084819,
    0.0748128998093307,
    0.06544719310477376,
    0.06261431658640504,
    0.061717277858406305,
    0.06602186756208539,
    0.07568502007052302,
    0.08706254558637738,
    0.10972353676334023,
    0.1256859665736556,
    0.13772491132840514,
    0.13236063811928034,
    0.1405540071427822,
    0.15433891164138913,
    0.17624080553650856,
    0.18184073036536574,
    0.17896545259281993,
    0.15441783098503947,
    0.13561429968103766,
    0.12540416745468974,
    0.1324483989737928,
    0.12644630996510386,
    0.11330105690285563,
    0.10628647729754448,
    0.11555698653683066,
    0.12891169684007764,
    0.15897106612101197,
    0.18900146754458547,
    0.19731719279661775,
    0.19249099399894476,
    0.16685761278495193,
    0.15294760605320334,
    0.145027466583997,
    0.1387049681507051,
    0.11722522554919124,
    0.11180343525484204,
    0.10594277177006006,
    0.10980654275044799,
    0.12646727869287133,
    0.16300043044611812,
    0.20590389100834727,
    0.22470817109569907,
    0.21255508111789823,
    0.18968979036435485,
    0.15693022636696696,
    0.14233015850186348,
    0.12061357265338302,
    0.10777161503210664,
    0.09770951280370355,
    0.08686619251966476,
    0.0831502047367394,
    0.09269122360274196,
    0.09069980261847377,
    0.08902936009690166,
    0.09597714897245169,
    0.07907775463536382,
    0.05900714406743646,
    0.056707705836743116,
    0.06684680050238967,
    0.07447245111688972,
    0.08392288954928517,
    0.09411150263622403,
    0.09441230120137334,
    0.08076556073501706,
    0.075524243991822,
    0.07397359935566783,
    0.08587774727493525,
    0.10000969050452113,
    0.12313937302678823,
    0.12008577911183238,
    0.0939052295871079,
    0.06475175311788917,
    0.04820817755535245,
    0.04590904386714101,
    0.049688310362398624,
    0.07205488393083215,
    0.08769853180274367,
    0.11662939982488751,
    0.14039599476382136,
    0.15145343216136098,
    0.17564351530745625,
    0.1771379061974585,
    0.1755692451260984,
    0.1432647597976029,
    0.10574822779744864,
    0.08830088702961802,
    0.07431527646258473,
    0.06032347772270441,
    0.05854201968759298,
    0.05659204022958875,
    0.05260418029502034,
    0.04929782124236226,
    0.059061076026409864,
    0.06820046482607722,
    0.07632433390244842,
    0.08450647862628102,
    0.10477105574682355,
    0.11688431771472096,
    0.11779997544363141,
    0.1267938739620149,
    0.1424984848126769,
    0.15677223214879632,
    0.16535316733643413,
    0.16925980197265744,
    0.17883533565327525,
    0.18609714275225997,
    0.18055298505350947,
    0.1694360631518066,
    0.13407925376668572,
    0.10999649157747626,
    0.09702848503366113,
    0.09896388417109847,
    0.11715968558564782,
    0.145903623662889,
    0.17046738928183913,
    0.17381782736629248,
    0.16818628227338195,
    0.17507111700251698,
    0.19432201655581594,
    0.20675612334161997,
    0.19961433205753565,
    0.17523020273074508,
    0.14581736596301198,
    0.11235615704208612,
    0.09003957780078053,
    0.07883687363937497,
    0.07797932205721736,
    0.08304024348035455,
    0.10710975667461753,
    0.13240792183205485,
    0.1537418649531901,
    0.1555360066704452,
    0.15220826165750623,
    0.15239583048969507,
    0.15762891760095954,
    0.1405653185211122,
    0.12304402561858296,
    0.10458510043099523,
    0.08929264126345515,
    0.08566119847819209,
    0.07464044960215688,
    0.06295167049393058,
    0.055039158556610346,
    0.06765884486958385,
    0.08648799685761333,
    0.12292528292164207,
    0.16876750765368342,
    0.20822736248373985,
    0.21139056887477636,
    0.1956260441802442,
    0.17442529322579503,
    0.15351312514394522,
    0.15292264381423593,
    0.15104733081534505,
    0.16701278183609247,
    0.1659417557530105,
    0.1500873574987054,
    0.13880306528881192,
    0.13777271239086986,
    0.11515505379065871,
    0.09067152859643102,
    0.08474549697712064,
    0.08948045875877142,
    0.10353594785556197,
    0.1288485317490995,
    0.16613049199804664,
    0.19800927629694343,
    0.22973692091181874,
    0.24043965013697743,
    0.2504449696280062,
    0.26800285605713725,
    0.26681676832959056,
    0.24026068625971675,
    0.19310152856633067,
    0.14167436817660928,
    0.10980231454595923,
    0.09616518160328269,
    0.0870859227143228,
    0.08974997792392969,
    0.1047317716293037,
    0.12443519523367286,
    0.13875758042559028,
    0.1760585787706077,
    0.22098174691200256,
    0.24860901897773147,
    0.25648247357457876,
    0.25330523820593953,
    0.22020219033584,
    0.18417452927678823,
    0.1580404150299728,
    0.13081083865836263,
    0.10626478819176555,
    0.09917774377390742,
    0.09615826653316617,
    0.08996207593008876,
    0.0901053654961288,
    0.08871775446459651,
    0.09469883004203439,
    0.08971009403467178,
    0.09155568527057767,
    0.10631720395758748,
    0.12384428875520825,
    0.13934162678197026,
    0.13761640386655927,
    0.1388950110413134,
    0.14742427226155996,
    0.1525437543168664,
    0.15443244902417064,
    0.15303919045254588,
    0.13779171602800488,
    0.13611234305426478,
    0.1377958240918815,
    0.14436479564756155,
    0.1435727714560926,
    0.1273682420141995,
    0.11410213261842728,
    0.10174048831686378,
    0.10745740588754416,
    0.12794233532622457,
    0.1386237582191825,
    0.15496022021397948,
    0.1667208201251924,
    0.1716998047195375,
    0.15616494650021195,
    0.1439738580957055,
    0.14084905153140426,
    0.13140666810795665,
    0.11188476672396064,
    0.08745185192674398,
    0.07814807025715709,
    0.06560346158221364,
    0.06197521695867181,
    0.07002381561324,
    0.08559697028249502,
    0.11162276705726981,
    0.13717268081381917,
    0.16774572478607297,
    0.1864072042517364,
    0.20575393876060843,
    0.22681091632694006,
    0.2319670831784606,
    0.20283895498141646,
    0.15316726360470057,
    0.10339865507557988,
    0.07274994580075145,
    0.0663127307780087,
    0.07282090513035655,
    0.08850394329056144,
    0.10122208436951041,
    0.11770544061437249,
    0.1388927879743278,
    0.1502488269470632,
    0.15097979689016938,
    0.15422109281644225,
    0.15101638110354543,
    0.14852462941780686,
    0.1567314392887056,
    0.15550527954474092,
    0.15064129093661904,
    0.14169242465868592,
    0.12660048017278314,
    0.11615901766344905,
    0.10833353642374277,
    0.07310783443972468,
    0.0376519444398582,
    0.011856663506478071,
    -4.768744111061096e-05,
    0.002843314316123724,
    0.020011051557958126,
    0.03748434782028198,
    0.04469106765463948,
    0.05032435664907098,
    0.04757707426324487,
    0.05097992019727826,
    0.04714687494561076,
    0.033004841301590204,
    0.020890966523438692,
    0.01273091183975339,
    0.004625681322067976,
    0.005874925758689642,
    0.009890313725918531,
    0.017955776769667864,
    0.026185848284512758,
    0.046488459687680006,
    0.07318375492468476,
    0.09242713497951627,
    0.11305125383660197,
    0.1261004381813109,
    0.12211936386302114,
    0.10898046428337693,
    0.10115289455279708,
    0.10633708443492651,
    0.11789334425702691,
    0.13367035845294595,
    0.13213055999949574,
    0.13665028754621744,
    0.14044153597205877,
    0.14573632972314954,
    0.12245150515809655,
    0.10091391438618302,
    0.0778386970050633,
    0.06495570810511708,
    0.057885526679456234,
    0.06422250345349312,
    0.07493720622733235,
    0.08551086066290736,
    0.09099167352542281,
    0.10074533289298415,
    0.11172201344743371,
    0.1212852573953569,
    0.129650027025491,
    0.1431339788250625,
    0.15150485979393125,
    0.15792525885626674,
    0.1426855311729014,
    0.1327436720021069,
    0.13398994924500585,
    0.13837823597714305,
    0.14420300954952836,
    0.12345528090372682,
    0.0916810049675405,
    0.07413828698918223,
    0.06859246781095862,
    0.07084869453683496,
    0.08440756192430854,
    0.10165426647290587,
    0.12900920864194632,
    0.1646836674772203,
    0.19484175043180585,
    0.22679361328482628,
    0.2256321352906525,
    0.2103443038649857,
    0.1840140619315207,
    0.16237653465941548,
    0.15670477645471692,
    0.15107374638319016,
    0.13619616674259305,
    0.12534644035622478,
    0.11499692406505346,
    0.11021610768511891,
    0.11506829457357526,
    0.12882705824449658,
    0.13180288765579462,
    0.15052608726546168,
    0.17831423273310065,
    0.19996061315760016,
    0.1992361438460648,
    0.18204682180657983,
    0.16640180861577392,
    0.1423183591105044,
    0.11254400806501508,
    0.0935576525516808,
    0.08685545856133103,
    0.08104160008952022,
    0.07813208876177669,
    0.07578879920765758,
    0.08884395053610206,
    0.09530791686847806,
    0.09805668657645583,
    0.10642238287255168,
    0.11295364703983068,
    0.11144286906346679,
    0.10106279840692878,
    0.0964642153121531,
    0.09780072560533881,
    0.10829088184982538,
    0.1254258519038558,
    0.1442775735631585,
    0.1574408714659512,
    0.16591254202648997,
    0.16408323822543025,
    0.16513839783146977,
    0.14017829624935985,
    0.11432897206395864,
    0.09107099147513509,
    0.07376167317852378,
    0.06582752522081137,
    0.06688106106594205,
    0.07765227230265737,
    0.08118903869763017,
    0.08698056871071458,
    0.08670518966391683,
    0.08924292074516416,
    0.09056883351877332,
    0.08555537555366755,
    0.08419279800727963,
    0.07751275924965739,
    0.06535732606425881,
    0.06310788681730628,
    0.057994707487523556,
    0.06129320338368416,
    0.06482476741075516,
    0.08784918813034892,
    0.10634836042299867,
    0.1323531731031835,
    0.17564910231158137,
    0.21765338676050305,
    0.24634172534570098,
    0.255512626376003,
    0.25298201432451606,
    0.22486837627366185,
    0.19346400583162904,
    0.1776419742964208,
    0.16749942721799016,
    0.16226276103407145,
    0.16044893022626638,
    0.13974180119112134,
    0.1059878864325583,
    0.08114785188809037,
    0.0668114279396832,
    0.07112455414608121,
    0.07102461066097021,
    0.07469006115570664,
    0.0933404085226357,
    0.10181977273896337,
    0.10667406534776092,
    0.12201643968001008,
    0.13842673366889358,
    0.1348507502116263,
    0.12105473969131708,
    0.09441508678719401,
    0.0820625307969749,
    0.06813372718170285,
    0.07759887306019664,
    0.09636545507237315,
    0.11601234134286642,
    0.1350867678411305,
    0.14387927344068885,
    0.16089664539322257,
    0.19140997854992747,
    0.21106065204367042,
    0.21318854158744216,
    0.19038859754800797,
    0.17032279586419463,
    0.15525933215394616,
    0.1604274339042604,
    0.16768782259896398,
    0.1760866353288293,
    0.17503320844843984,
    0.1812007394619286,
    0.21097829286009073,
    0.22998776705935597,
    0.22616930352523923,
    0.19845651416108012,
    0.1629695682786405,
    0.13190774014219642,
    0.10977610619738698,
    0.10147503996267915,
    0.09821472177281976,
    0.1003606622107327,
    0.11860227910801768,
    0.1400477052666247,
    0.15732989320531487,
    0.17479883460327983,
    0.17869601724669337,
    0.17557896254584193,
    0.17286060424521565,
    0.16964268265292048,
    0.16218017414212227,
    0.1487173684872687,
    0.13996000355109572,
    0.11730971513316035,
    0.09275262150913477,
    0.07336399611085653,
    0.07392383133992553,
    0.08628324745222926,
    0.1119074928574264,
    0.13459570286795497,
    0.1802783622406423,
    0.19258083077147603,
    0.1837842962704599,
    0.1530969380401075,
    0.1302479445002973,
    0.11389348329976201,
    0.10694430256262422,
    0.11588393012061715,
    0.12270136503502727,
    0.12544083688408136,
    0.12432608334347606,
    0.11679977271705866,
    0.11792074935510755,
    0.12650323985144496,
    0.11478792177513242,
    0.09462888212874532,
    0.07968993810936809,
    0.07559773465618491,
    0.08305824920535088,
    0.08956924499943852,
    0.0906048258766532,
    0.08770481636747718,
    0.08868051739409566,
    0.09374282648786902,
    0.11337969778105617,
    0.13009032187983394,
    0.13083769707009196,
    0.11964690731838346,
    0.09821977512910962,
    0.08386071445420384,
    0.0812611817382276,
    0.07987695233896375,
    0.08094167383387685,
    0.08175768703222275,
    0.10510768322274089,
    0.11514028161764145,
    0.11578953312709928,
    0.1385474163107574,
    0.16907937126234174,
    0.19965359242632985,
    0.2126886215992272,
    0.21397451451048255,
    0.19100953498855233,
    0.15327832708135247,
    0.128384109120816,
    0.11238824250176549,
    0.09463528916239738,
    0.07207903917878866,
    0.058326943311840296,
    0.054790951777249575,
    0.050143308006227016,
    0.0565418410114944,
    0.06766687333583832,
    0.0815083822235465,
    0.10162445669993758,
    0.11292002769187093,
    0.11753009399399161,
    0.12202419759705663,
    0.12097618775442243,
    0.13355969497933984,
    0.14958997815847397,
    0.18184800539165735,
    0.21524118864908814,
    0.21463927952572703,
    0.1879216288216412,
    0.153974290471524,
    0.13689833460375667,
    0.13142067845910788,
    0.13823648588731885,
    0.15053883800283074,
    0.1599014555104077,
    0.16516029508784413,
    0.15386623376980424,
    0.15905940206721425,
    0.1618310329504311,
    0.14784373110160232,
    0.13386669242754579,
    0.10689301555976272,
    0.08669453533366323,
    0.07993344543501735,
    0.08025378035381436,
    0.07785123446956277,
    0.08664352353662252,
    0.09801390441134572,
    0.09987205872312188,
    0.11892776237800717,
    0.13742304919287562,
    0.14473703084513545,
    0.14676384953781962,
    0.15420487616211176,
    0.14286467852070928,
    0.12709236750379205,
    0.11874330835416913,
    0.11679110582917929,
    0.12836593482643366,
    0.13294982491061091,
    0.13441011914983392,
    0.141251674387604,
    0.1532760071568191,
    0.16464896267279983,
    0.1595296743325889,
    0.15669099753722548,
    0.14842366194352508,
    0.15360696287825704,
    0.14960224321112037,
    0.14460851764306426,
    0.12112335255369544,
    0.09937126049771905,
    0.08189106592908502,
    0.07509715156629682,
    0.07987489132210612,
    0.09136970015242696,
    0.11796992179006338,
    0.16378674982115626,
    0.18839073507115245,
    0.18617227720096707,
    0.17555385502055287,
    0.15673881443217397,
    0.13946038810536265,
    0.1336337928660214,
    0.10990980779752135,
    0.08180267224088311,
    0.06686097988858819,
    0.05672370968386531,
    0.06511343317106366,
    0.071883465629071,
    0.07592569896951318,
    0.08216525940224528,
    0.0890208831988275,
    0.06763078598305583,
    0.04762095073238015,
    0.039442237932235,
    0.043328249361366034,
    0.06757649686187506,
    0.09121052315458655,
    0.1086439904756844,
    0.10220289742574096,
    0.09816120890900493,
    0.1044813203625381,
    0.12643626937642694,
    0.1609261268749833,
    0.19334987876936793,
    0.19484544591978192,
    0.16009077755734324,
    0.11902615567669272,
    0.08381020417436957,
    0.07430516788735986,
    0.06458356650546193,
    0.06550109479576349,
    0.0718251378275454,
    0.08100665220990777,
    0.11080281483009458,
    0.1477082851342857,
    0.1872435575351119,
    0.20505037577822804,
    0.2066929778084159,
    0.19366641016677022,
    0.17082409420982003,
    0.14830269571393728,
    0.12017415789887309,
    0.0903784898109734,
    0.06680551264435053,
    0.06428337981924415,
    0.06029703514650464,
    0.06864587077870965,
    0.08082169620320201,
    0.09366762218996882,
    0.10894219158217311,
    0.11699591064825654,
    0.120880669914186,
    0.1227747262455523,
    0.11112424405291677,
    0.10628253361210227,
    0.10779796307906508,
    0.11350790318101645,
    0.11297138640657067,
    0.10824837582185864,
    0.09201915888115764,
    0.08958005486056209,
    0.09695615200325847,
    0.09749034373089671,
    0.10449876496568322,
    0.09175005881115794,
    0.07395551213994622,
    0.062216765247285366,
    0.07231274666264653,
    0.09241827996447682,
    0.11950914468616247,
    0.1442010677419603,
    0.15970982844009995,
    0.17436394607648253,
    0.18140906328335404,
    0.18630526727065444,
    0.18524790043011308,
    0.1690840506926179,
    0.13741632597520947,
    0.1110139605589211,
    0.09109877841547132,
    0.0751737579703331,
    0.07818861911073327,
    0.08729365048930049,
    0.10505114356055856,
    0.11891057481989264,
    0.1337484926916659,
    0.15058842953294516,
    0.1756685981526971,
    0.2087773340754211,
    0.2462184843607247,
    0.2637134403921664,
    0.25786155881360173,
    0.2255508960224688,
    0.1770077613182366,
    0.14087251154705882,
    0.12041369872167706,
    0.09565214486792684,
    0.08389222202822566,
    0.07021854119375348,
    0.06320577440783381,
    0.07436819700524211,
    0.08384878793731332,
    0.10156827280297875,
    0.1383809563703835,
    0.17169627454131842,
    0.19193291058763862,
    0.18511136015877128,
    0.16067541297525167,
    0.14387941220775247,
    0.11669524060562253,
    0.10425800178200006,
    0.09613799164071679,
    0.09190468583256006,
    0.1001461180858314,
    0.10730300424620509,
    0.11138668237254024,
    0.12089719949290156,
    0.13503190549090505,
    0.1244550202973187,
    0.1148395100608468,
    0.11459332471713424,
    0.12991236802190542,
    0.14723993744701147,
    0.151472388766706,
    0.1622488689608872,
    0.14995398791506886,
    0.13646607752889395,
    0.12703746045008302,
    0.12332383589819074,
    0.12475852249190211,
    0.120910685043782,
    0.09848065441474319,
    0.06685342965647578,
    0.04640798131003976,
    0.025536101777106524,
    0.030139452777802944,
    0.03976536216214299,
    0.04789103660732508,
    0.0677217305637896,
    0.07506080623716116,
    0.09002427151426673,
    0.10197055665776134,
    0.10770108411088586,
    0.11242665024474263,
    0.10311293648555875,
    0.09616125235334039,
    0.0888115200214088,
    0.0870098089799285,
    0.08360829530283809,
    0.07370484294369817,
    0.07256867829710245,
    0.08147647138684988,
    0.08646848099306226,
    0.08255604794248939,
    0.0882136165164411,
    0.09057685313746333,
    0.08758871862664819,
    0.07781952293589711,
    0.08207889320328832,
    0.09268723102286458,
    0.09749602200463414,
    0.10974817490205169,
    0.12204740243032575,
    0.12283027777448297,
    0.12588895251974463,
    0.1305960724130273,
    0.13877651747316122,
    0.14368052361533046,
    0.13618492195382714,
    0.11897381814196706,
    0.11944051692262292,
    0.12263611005619168,
    0.1387504255399108,
    0.14254153426736593,
    0.12988611217588186,
    0.12198119470849633,
    0.1169381351210177,
    0.12866686936467886,
    0.14867545431479812,
    0.16184452222660184,
    0.1724360198713839,
    0.19237956311553717,
    0.21900767600163817,
    0.24117778381332755,
    0.24545298283919692,
    0.23446685215458274,
    0.203863144852221,
    0.1606302340514958,
    0.12501880200579762,
    0.09612660203129053,
    0.07816846342757344,
    0.08148244628682733,
    0.09452712116762996,
    0.11969007318839431,
    0.13637318601831794,
    0.14946613321080804,
    0.1578952525742352,
    0.1567111718468368,
    0.14980526315048337,
    0.1399136846885085,
    0.12274636840447783,
    0.10856693889945745,
    0.09755634190514684,
    0.08397115347906947,
    0.08073491649702191,
    0.07645949814468622,
    0.07919957721605897,
    0.09097484825178981,
    0.10923051415011287,
    0.1346583846025169,
    0.16877323715016246,
    0.19932550797238946,
    0.20147924730554223,
    0.19527849229052663,
    0.17402490228414536,
    0.1478626481257379,
    0.12655910616740584,
    0.12055022874847054,
    0.11180467065423727,
    0.1093453774228692,
    0.11131009785458446,
    0.12905791494995356,
    0.13995392294600606,
    0.14914457825943828,
    0.13467998104169965,
    0.10665427753701806,
    0.09544860431924462,
    0.09873897489160299,
    0.11209673946723342,
    0.11871218727901578,
    0.12939859833568335,
    0.12162265833467245,
    0.12110349209979177,
    0.11475458601489663,
    0.1181083177216351,
    0.12551945028826594,
    0.11576523212715983,
    0.10386328492313623,
    0.09242317406460643,
    0.07808569073677063,
    0.06818372895941138,
    0.06926087196916342,
    0.07727952720597386,
    0.08748773485422134,
    0.10883361147716641,
    0.12139353202655911,
    0.13157311966642737,
    0.14481616346165538,
    0.16525869676843286,
    0.20285330386832356,
    0.2294567679055035,
    0.235865396913141,
    0.20725602423772216,
    0.17355114873498678,
    0.15492235450074077,
    0.13640778185799718,
    0.11671726498752832,
    0.11257024761289358,
    0.10594128118827939,
    0.0955007248558104,
    0.08568667527288198,
    0.085711142513901,
    0.09217459009960294,
    0.09705638140439987,
    0.10389829939231277,
    0.11214516730979085,
    0.11072128405794501,
    0.11128886556252837,
    0.11680800234898925,
    0.12988450238481164,
    0.1330709313042462,
    0.12701395247131586,
    0.1016383245587349,
    0.08823262481018901,
    0.08056609379127622,
    0.0805642413906753,
    0.07294312445446849,
    0.06174380984157324,
    0.04906502412632108,
    0.03630743036046624,
    0.031718002166599035,
    0.04026723885908723,
    0.05624601012095809,
    0.07706990512087941,
    0.10912526538595557,
    0.14830896770581603,
    0.18485239194706082,
    0.21436804300174117,
    0.20844766357913613,
    0.1855884725227952,
    0.1461974955163896,
    0.11249196203425527,
    0.09207361284643412,
    0.07449551718309522,
    0.07709900895133615,
    0.0854858341626823,
    0.09967558225616813,
    0.12076153000816703,
    0.13505888963118196,
    0.14873924339190125,
    0.15021879458799958,
    0.1461132992990315,
    0.15073393192142248,
    0.15768617438152432,
    0.1559563628397882,
    0.15298224659636617,
    0.15756673784926534,
    0.15086916740983725,
    0.14497678773477674,
    0.1426487979479134,
    0.1586013031192124,
    0.18158049462363124,
    0.19237133441492915,
    0.17513077287003398,
    0.15341921290382743,
    0.13506525801494718,
    0.12549012573435903,
    0.119891416747123,
    0.12696860870346427,
    0.14262466551735997,
    0.1558463042601943,
    0.16646461049094796,
    0.15529083600267768,
    0.14489711914211512,
    0.13297776458784938,
    0.133513362146914,
    0.11101278429850936,
    0.08169573126360774,
    0.056980392429977655,
    0.04827459575608373,
    0.04890279797837138,
    0.0580580928362906,
    0.07012341683730483,
    0.07625521114096045,
    0.08444590773433447,
    0.08299421099945903,
    0.08675638912245631,
    0.08358427649363875,
    0.07822538958862424,
    0.0735686575062573,
    0.07086355285719037,
    0.06383416848257184,
    0.05773737421259284,
    0.05033264355733991,
    0.05224080802872777,
    0.05616645608097315,
    0.07078305957838893,
    0.08049984369426966,
    0.09599942108616233,
    0.12722123740240932,
    0.15574583178386092,
    0.19164761574938893,
    0.213069015648216,
    0.2153196125291288,
    0.18470441224053502,
    0.1562270438298583,
    0.1362937674857676,
    0.1138327312655747,
    0.09854906145483255,
    0.09521348681300879,
    0.09846112178638577,
    0.09503054665401578,
    0.0983538725413382,
    0.10713800089433789,
    0.11830577300861478,
    0.11968260630965233,
    0.12789925606921315,
    0.1347496178932488,
    0.1264930977486074,
    0.12434663390740752,
    0.12815238442271948,
    0.13851635763421655,
    0.1453427472151816,
    0.14582397136837244,
    0.13727763947099447,
    0.1394784557633102,
    0.14427970396354795,
    0.1396639528684318,
    0.12353894440457225,
    0.09765237057581544,
    0.07383567513898015,
    0.08166352799162269,
    0.0931716188788414,
    0.11731470888480544,
    0.1437846808694303,
    0.16483604675158858,
    0.17310726549476385,
    0.19256200408563018,
    0.1890729651786387,
    0.18215250736102462,
    0.15917137311771512,
    0.13055574242025614,
    0.10817875759676099,
    0.08343952568247914,
    0.07230938319116831,
    0.06615813821554184,
    0.07437268504872918,
    0.08964393613860011,
    0.11801713099703193,
    0.1405595107935369,
    0.15170634118840098,
    0.1527167414315045,
    0.14346814760938287,
    0.13758695125579834,
    0.13816065760329366,
    0.1281377379782498,
    0.12604031385853887,
    0.11707212822511792,
    0.1043995819054544,
    0.08449177769944072,
    0.07673711376264691,
    0.0723765748552978,
    0.07723878556862473,
    0.08131203148514032,
    0.10329416720196605,
    0.1369322263635695,
    0.17094058683142066,
    0.18042793544009328,
    0.1803467064164579,
    0.16110008722171187,
    0.14142939867451787,
    0.11393625196069479,
    0.09286813298240304,
    0.06837609456852078,
    0.06238135788589716,
    0.06186349270865321,
    0.0699123153463006,
    0.08966518705710769,
    0.11266903160139918,
    0.13162404904142022,
    0.1270233136601746,
    0.12335031060501933,
    0.12227816367521882,
    0.11687584640458226,
    0.11495902622118592,
    0.12477163132280111,
    0.12643181439489126,
    0.12045015767216682,
    0.10689797671511769,
    0.09800219628959894,
    0.10158424405381083,
    0.10366030130535364,
    0.09859485505148768,
    0.0942557011730969,
    0.07341286865994334,
    0.05291993776336312,
    0.04751131823286414,
    0.04339113598689437,
    0.04206074448302388,
    0.04916644189506769,
    0.0713863861747086,
    0.08313397178426385,
    0.1022462104447186,
    0.13334038434550166,
    0.16172444866970181,
    0.17917233100160956,
    0.17003149120137095,
    0.15316306939348578,
    0.11361195659264922,
    0.08092091139405966,
    0.07478969125077128,
    0.06677345605567098,
    0.05604080203920603,
    0.04949238058179617,
    0.041764982510358095,
    0.03995400434359908,
    0.04674519645050168,
    0.05780051229521632,
    0.06870948383584619,
    0.06693734368309379,
    0.07675390178337693,
    0.09372880728915334,
    0.09669174905866385,
    0.10482396557927132,
    0.11304058926180005,
    0.12441482255235314,
    0.12877076771110296,
    0.1358770290389657,
    0.1329835089854896,
    0.14069813815876842,
    0.1535298922099173,
    0.1549840676598251,
    0.1484802202321589,
    0.12091000052168965,
    0.10696655558422208,
    0.10202767560258508,
    0.10243193944916129,
    0.11501261265948415,
    0.12745631160214543,
    0.13150441320613027,
    0.12898115208372474,
    0.13585612690076232,
    0.13610389223322272,
    0.13906763261184096,
    0.12437545182183385,
    0.10811200086027384,
    0.08188115665689111,
    0.05490223737433553,
    0.039891005493700504,
    0.03724367171525955,
    0.04970417032018304,
    0.06339047430083156,
    0.08166574547067285,
    0.10153072467073798,
    0.12191244540736079,
    0.1412795609794557,
    0.15093572018668056,
    0.15755891660228372,
    0.16749010886996984,
    0.17788758920505643,
    0.17337288474664092,
    0.15717269526794553,
    0.1459797597490251,
    0.1182510512880981,
    0.09105990128591657,
    0.06393914017826319,
    0.058166568633168936,
    0.06708319066092372,
    0.08707792172208428,
    0.10824130801483989,
    0.12719971081241965,
    0.13039315911009908,
    0.1244247448630631,
    0.11959100933745503,
    0.11195162171497941,
    0.09998231055215001,
    0.08182456577196717,
    0.08491413155570626,
    0.08866951614618301,
    0.1086626211181283,
    0.12102885125204921,
    0.1273688981309533,
    0.1292994082905352,
    0.13013019738718867,
    0.11064178356900811,
    0.08263595821335912,
    0.06113192765042186,
    0.0517968013882637,
    0.05340681737288833,
    0.06342870881780982,
    0.07321290578693151,
    0.07852171268314123,
    0.08629610063508153,
    0.08528647152706981,
    0.10191508242860436,
    0.12066673068329692,
    0.1339957802556455,
    0.13111392268911004,
    0.11457491246983409,
    0.09852644661441445,
    0.08588304510340095,
    0.07926819892600179,
    0.08172133238986135,
    0.08226624922826886,
    0.09268902568146586,
    0.09738901304081082,
    0.1040363316424191,
    0.11882672784850001,
    0.1274093766696751,
    0.12400446506217122,
    0.13642605300992727,
    0.16188318422064185,
    0.179406909737736,
    0.17446579644456506,
    0.15364988008514047,
    0.13511011423543096,
    0.1230613449588418,
    0.12134457286447287,
    0.11352594988420606,
    0.1076346137560904,
    0.1045515020377934,
    0.09877076325938106,
    0.09964549588039517,
    0.10465830471366644,
    0.10567037155851722,
    0.10919992020353675,
    0.11982052074745297,
    0.1263533285818994,
    0.12536604749038815,
    0.13433766970410943,
    0.1433872110210359,
    0.15328578744083643,
    0.159288230817765,
    0.150975635740906,
    0.14750418672338128,
    0.1430071801878512,
    0.13584790704771876,
    0.13037224439904094,
    0.11895064683631063,
    0.09392716037109494,
    0.09072273364290595,
    0.09670518478378654,
    0.11584446346387267,
    0.14768362836912274,
    0.1762306964956224,
    0.19618768384680152,
    0.22314994409680367,
    0.23410835256800056,
    0.21649832790717483,
    0.18717680778354406,
    0.1679386729374528,
    0.15921950107440352,
    0.1540687051601708,
    0.1402957821264863,
    0.10306309908628464,
    0.07886157045140862,
    0.06891630915924907,
    0.060820677783340216,
    0.05315312137827277,
    0.05668459413573146,
    0.06403853883966804,
    0.068378493655473,
    0.0838708239607513,
    0.09012810559943318,
    0.0974734341725707,
    0.09794146986678243,
    0.10639796312898397,
    0.12515145214274526,
    0.12476950464770198,
    0.11315623577684164,
    0.0934809404425323,
    0.07978286175057292,
    0.06438151327893138,
    0.05853869067505002,
    0.05591072281822562,
    0.06341849314048886,
    0.08327507367357612,
    0.10033857403323054,
    0.14913966646417975,
    0.20119248749688268,
    0.24085479089990258,
    0.26571903796866536,
    0.2639386565424502,
    0.252413438167423,
    0.23674036981537938,
    0.20582666154950857,
    0.1813878403045237,
    0.15243943827226758,
    0.13616860006004572,
    0.12124586757272482,
    0.11945793125778437,
    0.11791894445195794,
    0.1218342068605125,
    0.10624216357246041,
    0.08649712475016713,
    0.07971719512715936,
    0.06966897891834378,
    0.08655406162142754,
    0.09151047142222524,
    0.1091348072513938,
    0.12516771163791418,
    0.11713196011260152,
    0.12457965919747949,
    0.14437198964878917,
    0.16602905979380012,
    0.15760529367253184,
    0.1287497910670936,
    0.09846889553591609,
    0.07715728459879756,
    0.058266603853553534,
    0.04106404772028327,
    0.02822353458032012,
    0.03273907396942377,
    0.04765573935583234,
    0.06147048529237509,
    0.062893474008888,
    0.0849030646495521,
    0.1088406671769917,
    0.13989799842238426,
    0.15585005935281515,
    0.15212434297427535,
    0.13105027982965112,
    0.11289892252534628,
    0.10921093868091702,
    0.10965367732569575,
    0.10995119577273726,
    0.10976544627919793,
    0.09478266956284642,
    0.08327640919014812,
    0.08181060431525111,
    0.08476296719163656,
    0.1011124113574624,
    0.10892009641975164,
    0.12470662361010909,
    0.1404522773809731,
    0.1367360814474523,
    0.13217418268322945,
    0.1364314234815538,
    0.15468380460515618,
    0.17534627905115485,
    0.1779883960261941,
    0.1636667218990624,
    0.1622855099849403,
    0.16513789352029562,
    0.15260886726900935,
    0.14336460689082742,
    0.12869376596063375,
    0.12443459080532193,
    0.11410376289859414,
    0.10901066800579429,
    0.11685124365612864,
    0.12168290978297591,
    0.11965275928378105,
    0.13639606907963753,
    0.17046907311305404,
    0.21322069643065333,
    0.24170338781550527,
    0.25252202386036515,
    0.24811488715931773,
    0.22171279089525342,
    0.1973863602615893,
    0.17541492776945233,
    0.16808634158223867,
    0.17222301987931132,
    0.16481326101347804,
    0.14422341343015432,
    0.13805119087919593,
    0.1305026668123901,
    0.1407095631584525,
    0.16304857144132257,
    0.19811617629602551,
    0.2176530142314732,
    0.2115126778371632,
    0.2081982479430735,
    0.2137239812873304,
    0.19792942330241203,
    0.15537051018327475,
    0.1219569225795567,
    0.09733153553679585,
    0.09278161684051156,
    0.09272670326754451,
    0.10992740420624614,
    0.1308385613374412,
    0.1445088624022901,
    0.14035220025107265,
    0.1477563939988613,
    0.15052383905276656,
    0.15033139334991574,
    0.1415519448928535,
    0.12308839615434408,
    0.1192550421692431,
    0.13612971967086196,
    0.15551771223545074,
    0.1582550616003573,
    0.1525198402814567,
    0.14366166619583964,
    0.14133639773353934,
    0.12690470041707158,
    0.11252737371250987,
    0.09626282332465053,
    0.0825544185936451,
    0.06964483251795173,
    0.07856702711433172,
    0.09321844624355435,
    0.11595174297690392,
    0.1221586805768311,
    0.10601234482601285,
    0.08875377802178264,
    0.07041505398228765,
    0.07225074665620923,
    0.08415592787787318,
    0.09150725184008479,
    0.084802211727947,
    0.06058158865198493,
    0.04287123726680875,
    0.035990048199892044,
    0.03220706665888429,
    0.033983643632382154,
    0.03945156233385205,
    0.05237907310947776,
    0.06563611654564738,
    0.0864515514113009,
    0.11066868528723717,
    0.137431466486305,
    0.13405894255265594,
    0.1118758087977767,
    0.08467869507148862,
    0.05758267501369119,
    0.03346864180639386,
    0.02984748361632228,
    0.023363080341368914,
    0.018923998810350895,
    0.019408443477004766,
    0.022728182841092348,
    0.037933928426355124,
    0.05144301103428006,
    0.07085206685587764,
    0.08940998371690512,
    0.08716293843463063,
    0.08113875892013311,
    0.08902850421145558,
    0.10025221621617675,
    0.10983059974387288,
    0.10522329295054078,
    0.08609809586778283,
    0.0846094866283238,
    0.09128785179927945,
    0.09854305116459727,
    0.091807562392205,
    0.07329608360305429,
    0.061854520346969366,
    0.05451015243306756,
    0.06039020558819175,
    0.07416679849848151,
    0.09635535394772887,
    0.11555169196799397,
    0.12792825838550925,
    0.1372598153539002,
    0.14110732963308692,
    0.14598746271803975,
    0.13827200466766953,
    0.14746724162250757,
    0.15381977567449212,
    0.14191507967188954,
    0.11975471768528223,
    0.08669358165934682,
    0.0825707227922976,
    0.08696445403620601,
    0.09714168962091208,
    0.10083462437614799,
    0.09499014588072896,
    0.09900370892137289,
    0.10468153236433864,
    0.11427473276853561,
    0.13955922331660986,
    0.16919167106971145,
    0.1780648068524897,
    0.18401495506986976,
    0.16910822363570333,
    0.1463373857550323,
    0.12368635134771466,
    0.09910414414480329,
    0.083925343118608,
    0.0812235283665359,
    0.0802607205696404,
    0.08610037760809064,
    0.10892168758437037,
    0.12411330221220851,
    0.14285192312672734,
    0.1500522610731423,
    0.1455362611450255,
    0.14906892692670226,
    0.15109185175970197,
    0.14086599508300424,
    0.1265839273110032,
    0.1293208310380578,
    0.14544886024668813,
    0.16520969662815332,
    0.17272647703066468,
    0.16297739325091243,
    0.16039607720449567,
    0.1653345706872642,
    0.1477579358033836,
    0.11857592547312379,
    0.09197333082556725,
    0.06601136969402432,
    0.0579720726236701,
    0.051810086239129305,
    0.05568720819428563,
    0.04983829567208886,
    0.04277940699830651,
    0.03621152089908719,
    0.03719123685732484,
    0.041755985002964735,
    0.033596834633499384,
    0.016138284467160702,
    0.013475540559738874,
    0.006020654458552599,
    0.0015477030538022518,
    0.00890931487083435,
    0.01796657359227538,
    0.02708862815052271,
    0.04244278697296977,
    0.06260369857773185,
    0.08232830604538321,
    0.10134875355288386,
    0.121015430893749,
    0.14047641679644585,
    0.14903158089146018,
    0.1402337192557752,
    0.12460962077602744,
    0.12047444889321923,
    0.12612736597657204,
    0.13112365128472447,
    0.12431743834167719,
    0.11361405905336142,
    0.09905666159465909,
    0.08289896324276924,
    0.06417817110195756,
    0.05903518805280328,
    0.057050995994359255,
    0.06800564518198371,
    0.08337777759879827,
    0.10168981226161122,
    0.10361476754769683,
    0.1118662697263062,
    0.1274451590143144,
    0.14934774348512292,
    0.15400310745462775,
    0.16356195602566004,
    0.1601919149979949,
    0.15557541279122233,
    0.14889605389907956,
    0.1350698578171432,
    0.11847113678231835,
    0.08483975799754262,
    0.06797016179189086,
    0.06836055545136333,
    0.06619785027578473,
    0.06612776825204492,
    0.06265069684013724,
    0.06243677111342549,
    0.06158258160576224,
    0.07019329583272338,
    0.08342345571145415,
    0.09528545802459121,
    0.10740833356976509,
    0.10183107946068048,
    0.09483713796362281,
    0.09053848357871175,
    0.09140826109796762,
    0.10030548693612218,
    0.11996140237897635,
    0.14177657989785075,
    0.15907266130670905,
    0.15876656398177147,
    0.15593003062531352,
    0.15202576899901032,
    0.15225481567904353,
    0.16037981444969773,
    0.1647473950870335,
    0.14114079298451543,
    0.1061811437830329,
    0.0732079572044313,
    0.05447924183681607,
    0.06101683573797345,
    0.0749392369762063,
    0.10392073402181268,
    0.13282493175938725,
    0.17205062927678227,
    0.20344609348103404,
    0.2283177454955876,
    0.2244003494270146,
    0.20063582435250282,
    0.17905395338311791,
    0.15898315096274018,
    0.13226010417565703,
    0.13098364463075995,
    0.13919537840411067,
    0.14771632524207234,
    0.14585477206856012,
    0.15342330699786544,
    0.17205889616161585,
    0.1805724804289639,
    0.16446647373959422,
    0.13919010339304805,
    0.1312523758970201,
    0.12550948234274983,
    0.14544184738770127,
    0.16758651938289404,
    0.16030135517939925,
    0.13199378224089742,
    0.10911819385364652,
    0.09694665996357799,
    0.08463075058534741,
    0.0812014969997108,
    0.07615086017176509,
    0.0665671625174582,
    0.04787990543991327,
    0.03754941700026393,
    0.03752527525648475,
    0.037476197350770235,
    0.04245039587840438,
    0.049728724639862776,
    0.06307565327733755,
    0.07866437640041113,
    0.10416528908535838,
    0.14643456367775798,
    0.17996820714324713,
    0.17181640630587935,
    0.14459836529567838,
    0.1434148964472115,
    0.14976965030655265,
    0.13379495171830058,
    0.12374532548710704,
    0.10306661250069737,
    0.08528842125087976,
    0.0731105669401586,
    0.06887175934389234,
    0.07149941707029939,
    0.07637899415567517,
    0.07724024448543787,
    0.09310512151569128,
    0.09430952277034521,
    0.0965838679112494,
    0.09902666183188558,
    0.10732326144352555,
    0.11831000866368413,
    0.11107022734358907,
    0.09871684620156884,
    0.08389639854431152,
    0.06954088155180216,
    0.05945320753380656,
    0.0563141661696136,
    0.04062070697546005,
    0.0296700824983418,
    0.028547439258545637,
    0.031589790247380733,
    0.033092877361923456,
    0.0412166235037148,
    0.05774496169760823,
    0.08395712217316031,
    0.12175077712163329,
    0.15907925041392446,
    0.19273988669738173,
    0.19276802288368344,
    0.1806831518188119,
    0.15357517963275313,
    0.12841631146147847,
    0.11309406254440546,
    0.10426805587485433,
    0.09887965628877282,
    0.0992259862832725,
    0.10283281514421105,
    0.11260271957144141,
    0.12373770819976926,
    0.12852114671841264,
    0.13046152936294675,
    0.14120679022744298,
    0.1586057236418128,
    0.17512708390131593,
    0.1678133807145059,
    0.16348557686433196,
    0.1593627375550568,
    0.13423716695979238,
    0.11549704568460584,
    0.10331489890813828,
    0.09212362160906196,
    0.090012367349118,
    0.10333603946492076,
    0.1315799835138023,
    0.15424685226753354,
    0.16164768347516656,
    0.15182292088866234,
    0.15424312325194478,
    0.15562010603025556,
    0.15349107002839446,
    0.15070414589717984,
    0.16224545100703835,
    0.16577882459387183,
    0.16386811528354883,
    0.1514868950471282,
    0.15284597966820002,
    0.15313825057819486,
    0.13349921582266688,
    0.09647312620654702,
    0.07368309469893575,
    0.07653989223763347,
    0.07566100358963013,
    0.0869511179625988,
    0.09622931526973844,
    0.10239334311336279,
    0.09001301974058151,
    0.0958576169796288,
    0.11816494027152658,
    0.14326067315414548,
    0.15747090755030513,
    0.1672487468458712,
    0.17412494216114283,
    0.17319196043536067,
    0.16800096025690436,
    0.14632840501144528,
    0.11970375245437026,
    0.09313309285789728,
    0.0790553274564445,
    0.06841382058337331,
    0.0687933680601418,
    0.07541057048365474,
    0.08146008988842368,
    0.08712432952597737,
    0.10364393284544349,
    0.12464089831337333,
    0.15310503169894218,
    0.16670687263831496,
    0.17836132971569896,
    0.17234204104170203,
    0.14737546956166625,
    0.13733388343825936,
    0.12893858226016164,
    0.11700517265126109,
    0.10684473067522049,
    0.0948652932420373,
    0.08710758714005351,
    0.07804342405870557,
    0.07610954670235515,
    0.08460721978917718,
    0.0936469561420381,
    0.11054959241300821,
    0.12860014801844954,
    0.13893541460856795,
    0.1425882768817246,
    0.14822271512821317,
    0.15221652993932366,
    0.15291503723710775,
    0.14745156560093164,
    0.128176249563694,
    0.11659595696255565,
    0.1071177483536303,
    0.09930079756304622,
    0.09576319484040141,
    0.08393952902406454,
    0.08410732308402658,
    0.08253507921472192,
    0.08267295267432928,
    0.09089163551107049,
    0.09558178624138236,
    0.10245333379134536,
    0.12208999693393707,
    0.15286788856610656,
    0.1790721737779677,
    0.1948575940914452,
    0.19075729185715318,
    0.1698203468695283,
    0.13425825024023652,
    0.09920476051047444,
    0.07965263817459345,
    0.07002899795770645,
    0.06840605894103646,
    0.07304444490000606,
    0.08190944837406278,
    0.09019076963886619,
    0.0980974673293531,
    0.10985749633982778,
    0.12570588337257504,
    0.14169872552156448,
    0.15024453308433294,
    0.14069057907909155,
    0.11853790795430541,
    0.10456186393275857,
    0.09226938849315047,
    0.0918507962487638,
    0.09810557262971997,
    0.08764684293419123,
    0.07557540806010365,
    0.0654791328124702,
    0.06977308867499232,
    0.08143602637574077,
    0.09647356765344739,
    0.1097035645507276,
    0.11289018811658025,
    0.10698605747893453,
    0.11444364627823234,
    0.11787210823968053,
    0.09837371902540326,
    0.07765892008319497,
    0.0633231638930738,
    0.06208252999931574,
    0.07606183597818017,
    0.0941539267078042,
    0.10244170902296901,
    0.0995173011906445,
    0.09179183002561331,
    0.09971991227939725,
    0.11290539801120758,
    0.12698716530576348,
    0.13969486067071557,
    0.1407920471392572,
    0.14747972134500742,
    0.17246268596500158,
    0.20521293627098203,
    0.23137685284018517,
    0.22012844309210777,
    0.18339908169582486,
    0.13767648069188,
    0.10724207432940602,
    0.08752383524551988,
    0.08665501652285457,
    0.07253654953092337,
    0.05613732850179076,
    0.04864926030859351,
    0.05278428876772523,
    0.07145976694300771,
    0.08988571958616376,
    0.10327039984986186,
    0.09185521956533194,
    0.08083699317649007,
    0.07005406776443124,
    0.06824710266664624,
    0.06916814157739282,
    0.0657327207736671,
    0.06207374529913068,
    0.05954933213070035,
    0.05645865807309747,
    0.04843108681961894,
    0.04498141584917903,
    0.04424064187332988,
    0.05147671280428767,
    0.07064451929181814,
    0.08119813213124871,
    0.09114305349066854,
    0.11073603061959147,
    0.14126214431598783,
    0.17901495518162847,
    0.20417113369330764,
    0.21264125080779195,
    0.1927702915854752,
    0.16232203738763928,
    0.15428686467930675,
    0.15354039939120412,
    0.15163701865822077,
    0.1536638899706304,
    0.1474289600737393,
    0.12769824312999845,
    0.10979564161971211,
    0.09610878815874457,
    0.09286836022511125,
    0.09247141983360052,
    0.09523337753489614,
    0.11259682150557637,
    0.11953324964269996,
    0.13578008627519011,
    0.15419029304757714,
    0.1727334321476519,
    0.17274448135867715,
    0.1535229692235589,
    0.12108348961919546,
    0.10559038398787379,
    0.09530190611258149,
    0.08754753647372127,
    0.09174637077376246,
    0.09049166226759553,
    0.08918450819328427,
    0.09617207990959287,
    0.10255183791741729,
    0.12078977888450027,
    0.13884207932278514,
    0.14951053028926253,
    0.14886673679575324,
    0.15511772548779845,
    0.15720220794901252,
    0.16295791929587722,
    0.15210673632100224,
    0.14464376959949732,
    0.12108625238761306,
    0.0931018409319222,
    0.07658907864242792,
    0.05786335142329335,
    0.06227340130135417,
    0.07565521774813533,
    0.09199481969699264,
    0.10607426753267646,
    0.12684463849291205,
    0.15008062776178122,
    0.1792462826706469,
    0.2023429204709828,
    0.22908894624561071,
    0.2311537778005004,
    0.20854041492566466,
    0.1733821495436132,
    0.15759732341393828,
    0.13940448639914393,
    0.12091348366811872,
    0.10631322953850031,
    0.10533390333876014,
    0.11978309182450175,
    0.1408913410268724,
    0.15948887495324016,
    0.18241897085681558,
    0.20077059464529157,
    0.20528258802369237,
    0.19235315592959523,
    0.17265712469816208,
    0.15943953907117248,
    0.136073746252805,
    0.1170115009881556,
    0.11118710087612271,
    0.1127374479547143,
    0.11232674727216363,
    0.11123905424028635,
    0.11308569787070155,
    0.1177271488122642,
    0.12047388730570674,
    0.09584701806306839,
    0.06714757112786174,
    0.05179597856476903,
    0.03805738454684615,
    0.03973356541246176,
    0.043096312787383795,
    0.05897104134783149,
    0.0673568150959909,
    0.07079006778076291,
    0.07392460154369473,
    0.07725058821961284,
    0.07907953951507807,
    0.08019113121554255,
    0.08009313838556409,
    0.06748484401032329,
    0.04803039552643895,
    0.04268013080582023,
    0.046259053517133,
    0.04827165277674794,
    0.05486095044761896,
    0.0724443350918591,
    0.09328836249187589,
    0.1120927189476788,
    0.12380786566063762,
    0.13244902482256293,
    0.12988090934231877,
    0.1287597632035613,
    0.1096653756685555,
    0.08411761978641152,
    0.07049895077943802,
    0.08281081775203347,
    0.0940369707532227,
    0.11114256922155619,
    0.11834736214950681,
    0.10482143657281995,
    0.09575139125809073,
    0.0927168452180922,
    0.09108253428712487,
    0.0939583545550704,
    0.09665628522634506,
    0.11128966743126512,
    0.11861984105780721,
    0.12185215717181563,
    0.13658682024106383,
    0.15770773077383637,
    0.16962269553914666,
    0.15709847817197442,
    0.1376249799504876,
    0.12149127153679729,
    0.11159571120515466,
    0.08627803949639201,
    0.08203656086698174,
    0.07702057808637619,
    0.0805154531262815,
    0.08066239068284631,
    0.08240618230774999,
    0.08799645164981484,
    0.10243505565449595,
    0.11558383470401168,
    0.12624608119949698,
    0.15075499191880226,
    0.18518034415319562,
    0.2153460062108934,
    0.2126642339862883,
    0.19064288679510355,
    0.15284943347796798,
    0.12160442443564534,
    0.09903283510357141,
    0.0827440693974495,
    0.07877278653904796,
    0.07434436259791255,
    0.06989098200574517,
    0.08047894528135657,
    0.09801019309088588,
    0.11253830464556813,
    0.12127505661919713,
    0.12025335105136037,
    0.11607886524870992,
    0.11364091979339719,
    0.11384748062118888,
    0.10405772970989347,
    0.10042103147134185,
    0.08223693678155541,
    0.06837669806554914,
    0.061061900574713945,
    0.06357537442818284,
    0.06559042213484645,
    0.07010742602869868,
    0.07795978663489223,
    0.10953195532783866,
    0.15429120929911733,
    0.2027322701178491,
    0.2333767651580274,
    0.23721963306888938,
    0.21463993610814214,
    0.1865774765610695,
    0.16813723603263497,
    0.13248514756560326,
    0.10441327188163996,
    0.09261779813095927,
    0.08208067808300257,
    0.09053761372342706,
    0.09288478223606944,
    0.09795843670144677,
    0.10464673629030585,
    0.11341184703633189,
    0.12158759590238333,
    0.12717319699004292,
    0.11201346572488546,
    0.09766950365155935,
    0.0859156553633511,
    0.0997849372215569,
    0.11155323358252645,
    0.1281057228334248,
    0.13540986785665154,
    0.12318460224196315,
    0.11546264169737697,
    0.10510640172287822,
    0.09752455679699779,
    0.07970493333414197,
    0.06072455970570445,
    0.05588880833238363,
    0.04495533602312207,
    0.034565305802971125,
    0.025151395704597235,
    0.02901980886235833,
    0.03703569294884801,
    0.05394044192507863,
    0.0859764744527638,
    0.09147846745327115,
    0.09505864372476935,
    0.10365908173844218,
    0.11364030139520764,
    0.12268308969214559,
    0.11320093926042318,
    0.1026471913792193,
    0.09490331914275885,
    0.09708134597167373,
    0.09322789637371898,
    0.08948439499363303,
    0.07661395613104105,
    0.07023278530687094,
    0.06631142692640424,
    0.06696916371583939,
    0.08025298407301307,
    0.09933724300935864,
    0.12525343941524625,
    0.13992189755663276,
    0.13322976883500814,
    0.1290232357569039,
    0.10976881952956319,
    0.106353675480932,
    0.09998582629486918,
    0.09230985352769494,
    0.06651127943769097,
    0.05880571994930506,
    0.06487201759591699,
    0.07812604634091258,
    0.08832804532721639,
    0.07358878524973989,
    0.056335963774472475,
    0.04580118367448449,
    0.051632330287247896,
    0.08531796699389815,
    0.11007253220304847,
    0.1302361167035997,
    0.1382598360069096,
    0.15616333251819015,
    0.15367456199601293,
    0.1532485387288034,
    0.15739958127960563,
    0.16708541242405772,
    0.1492457245476544,
    0.13729401025921106,
    0.13953790860250592,
    0.1373211434110999,
    0.1282876143231988,
    0.12174076912924647,
    0.12818023329600692,
    0.1337431906722486,
    0.13369106920436025,
    0.13988609472289681,
    0.1527303415350616,
    0.17505633691325784,
    0.1860314249061048,
    0.18022748082876205,
    0.1561871930025518,
    0.13293088460341096,
    0.11509482329711318,
    0.08953633485361934,
    0.07407256262376904,
    0.06274648336693645,
    0.061436949763447046,
    0.05997390206903219,
    0.07042943593114614,
    0.08209070889279246,
    0.09563800692558289,
    0.10728956805542111,
    0.11973183276131749,
    0.11476774839684367,
    0.11234360933303833,
    0.11253820871934295,
    0.12313138181343675,
    0.11419992009177804,
    0.10153060546144843,
    0.09386725816875696,
    0.0942220319993794,
    0.10656207147985697,
    0.11369455186650157,
    0.09987573651596904,
    0.0747817219235003,
    0.056630359031260014,
    0.05925916461274028,
    0.06414456339552999,
    0.077995581086725,
    0.10225355299189687,
    0.12893813010305166,
    0.15499928640201688,
    0.19024635525420308,
    0.21437523374333978,
    0.22316544642671943,
    0.21218898938968778,
    0.21056669997051358,
    0.1936287465505302,
    0.18150499369949102,
    0.17575200041756034,
    0.19317198870703578,
    0.22254328802227974,
    0.2385602411814034,
    0.2429648288525641,
    0.22270234813913703,
    0.18573989858850837,
    0.15880474774166942,
    0.13822904834523797,
    0.12413018615916371,
    0.13303557690232992,
    0.14490657718852162,
    0.136829755268991,
    0.11388155585154891,
    0.09687987063080072,
    0.08466230379417539,
    0.07100021000951529,
    0.06318216631188989,
    0.06417742697522044,
    0.07652777759358287,
    0.08842567401006818,
    0.1141428085975349,
    0.1420429884456098,
    0.1811180622316897,
    0.20505129685625434,
    0.21200257586315274,
    0.2225114586763084,
    0.21863410947844386,
    0.2014315756969154,
    0.1806829902343452,
    0.16368092503398657,
    0.15716924658045173,
    0.1575502222403884,
    0.16152366157621145,
    0.1567101632244885,
    0.13423751899972558,
    0.11629774747416377,
    0.10072677489370108,
    0.09119936870411038,
    0.07783697219565511,
    0.06264510657638311,
    0.05280053289607167,
    0.05033212201669812,
    0.06691130762919784,
    0.07291088625788689,
    0.0956085086800158,
    0.09519133623689413,
    0.0915692183189094,
    0.07618405995890498,
    0.04771795542910695,
    0.022316600661724806,
    0.007814485114067793,
    -0.002833105158060789,
    0.0031576668843626976,
    0.015096694696694613,
    0.027279666159301996,
    0.04725076397880912,
    0.053416875656694174,
    0.050228122156113386,
    0.05326499557122588,
    0.047060058917850256,
    0.04830167209729552,
    0.04606860224157572,
    0.04224413260817528,
    0.02994097163900733,
    0.013443686068058014,
    -0.0002006501890718937,
    -0.013657504227012396,
    -0.02110526291653514,
    -0.01330243470147252,
    -0.009485635440796614,
    -0.013631874229758978,
    -0.006999675650149584,
    -0.001863270066678524,
    -0.002377066295593977,
    0.00574950547888875,
    0.025094908196479082,
    0.028309923131018877,
    0.034778010565787554,
    0.042885450180619955,
    0.05504452018067241,
    0.06378308543935418,
    0.07124881213530898,
    0.07862468669191003,
    0.0853921384550631,
    0.09538300381973386,
    0.1096188691444695,
    0.12544532446190715,
    0.16110118990764022,
    0.18737046187743545,
    0.19642370706424117,
    0.17820258205756545,
    0.1460237023420632,
    0.12903512129560113,
    0.12859321804717183,
    0.1337838531471789,
    0.14198858151212335,
    0.1425148812122643,
    0.1332670277915895,
    0.12363937171176076,
    0.11671218601986766,
    0.11427847715094686,
    0.11198170250281692,
    0.11182490643113852,
    0.11941259214654565,
    0.1398882484063506,
    0.170049034524709,
    0.20528226252645254,
    0.23149819253012538,
    0.2588894278742373,
    0.28457843558862805,
    0.29248184571042657,
    0.3036342994309962,
    0.3123876261524856,
    0.2981490748934448,
    0.2597944992594421,
    0.21683004265651107,
    0.1802208279259503,
    0.16036927187815309,
    0.1389846713282168,
    0.11697938153520226,
    0.10939739970490336,
    0.1264759418554604,
    0.14805631944909692,
    0.16664914088323712,
    0.17485919687896967,
    0.1808519815094769,
    0.213535797316581,
    0.2516786106862128,
    0.2829647841863334,
    0.2797946003265679,
    0.2679618182592094,
    0.27290552016347647,
    0.2893526782281697,
    0.2971099275164306,
    0.28950832365080714,
    0.2647919808514416,
    0.24642987875267863,
    0.2297201636247337,
    0.24146684585139155,
    0.24477353738620877,
    0.2355246846564114,
    0.2198333442211151,
    0.2164827031083405,
    0.21615672018378973,
    0.19325842708349228,
    0.1727501996792853,
    0.17256244411692023,
    0.18743814202025533,
    0.20339613733813167,
    0.20541098760440946,
    0.2086872598156333,
    0.18480974761769176,
    0.16080893902108073,
    0.1439778315834701,
    0.14363229600712657,
    0.13510995218530297,
    0.1184579017572105,
    0.10583913652226329,
    0.0905563342384994,
    0.08316759672015905,
    0.06991412816569209,
    0.06656222697347403,
    0.06759082851931453,
    0.07183374790474772,
    0.07712748693302274,
    0.09277216019108891,
    0.10938042495399714,
    0.11736185429617763,
    0.11078712390735745,
    0.09737776964902878,
    0.0852079396136105,
    0.09076684759929776,
    0.08778229681774974,
    0.08760011103004217,
    0.09383817343041301,
    0.0952070509083569,
    0.09738488355651498,
    0.11115478025749326,
    0.1431377218104899,
    0.18158505717292428,
    0.2110227202065289,
    0.208138064481318,
    0.1905911797657609,
    0.17564781056717038,
    0.1739567033946514,
    0.16531513538211584,
    0.1566047347150743,
    0.15149901434779167,
    0.15140573354437947,
    0.15688898460939527,
    0.1636121361516416,
    0.17967214761301875,
    0.1772146737203002,
    0.15522990887984633,
    0.14368639001622796,
    0.1415446256287396,
    0.1556804603897035,
    0.1687911213375628,
    0.19391572521999478,
    0.21962127136066556,
    0.223902088124305,
    0.20175025472417474,
    0.18066283920779824,
    0.14842430409044027,
    0.12106389133259654,
    0.0982571872882545,
    0.09420723561197519,
    0.10351272718980908,
    0.11633748887106776,
    0.10043267533183098,
    0.09140348667278886,
    0.10020119929686189,
    0.10643152985721827,
    0.10145792970433831,
    0.10682918969541788,
    0.12387747643515468,
    0.1389210489578545,
    0.14543423103168607,
    0.15489745978266,
    0.14748763432726264,
    0.13043029652908444,
    0.11838576244190335,
    0.1014653374440968,
    0.10752554563805461,
    0.1207454833202064,
    0.13914320478215814,
    0.16848258255049586,
    0.20317716989666224,
    0.2044369517825544,
    0.17686404520645738,
    0.143753363750875,
    0.112709681969136,
    0.09727716771885753,
    0.08758927043527365,
    0.08293173788115382,
    0.08513072738423944,
    0.10324746696278453,
    0.1339735803194344,
    0.16048457892611623,
    0.16999846370890737,
    0.18228680966421962,
    0.17994151590391994,
    0.18050121376290917,
    0.18999541131779552,
    0.19071061024442315,
    0.19801911851391196,
    0.18982404889538884,
    0.18415151443332434,
    0.1753877615556121,
    0.1804213454015553,
    0.18582964735105634,
    0.1848815935663879,
    0.17277873633429408,
    0.16225439636036754,
    0.1656366349197924,
    0.16876389971002936,
    0.15739872166886926,
    0.1389328925870359,
    0.11222369084134698,
    0.10161537816748023,
    0.10323676140978932,
    0.10708114830777049,
    0.09857078222557902,
    0.07998041855171323,
    0.06406444637104869,
    0.06717548938468099,
    0.0784030188806355,
    0.09155933139845729,
    0.0991989360190928,
    0.09834396420046687,
    0.08979653706774116,
    0.08014194993302226,
    0.08242385182529688,
    0.09016971196979284,
    0.10020179627463222,
    0.10995274176821113,
    0.09844274399802089,
    0.079317441675812,
    0.055484832264482975,
    0.04077735869213939,
    0.029311622958630323,
    0.023564215283840895,
    0.02546720253303647,
    0.01627793675288558,
    0.02865442493930459,
    0.04332764772698283,
    0.053211180958896875,
    0.05865163775160909,
    0.06361311068758368,
    0.07255423674359918,
    0.08154529705643654,
    0.08911908185109496,
    0.08124445239081979,
    0.07240186957642436,
    0.07167115109041333,
    0.06446824269369245,
    0.05737245874479413,
    0.044083785731345415,
    0.04088378604501486,
    0.0513320448808372,
    0.05262915091589093,
    0.06242355611175299,
    0.07066920073702931,
    0.07977751130238175,
    0.0931320944800973,
    0.11063437070697546,
    0.13270477624610066,
    0.14941844018176198,
    0.17723097698763013,
    0.19176277751103044,
    0.20732954936102033,
    0.21127283154055476,
    0.2101092734374106,
    0.19727385928854346,
    0.18578060949221253,
    0.1933979052118957,
    0.20754800410941243,
    0.2121798531152308,
    0.2048002858646214,
    0.18011698639020324,
    0.14295121422037482,
    0.11880954494699836,
    0.11276929872110486,
    0.11653497442603111,
    0.12372912326827645,
    0.1429802319034934,
    0.16208690078929067,
    0.18405943689867854,
    0.19821317587047815,
    0.1950012524612248,
    0.18610989162698388,
    0.19085463043302298,
    0.20613067923113704,
    0.2250813697464764,
    0.22168805776163936,
    0.20893152384087443,
    0.1908005909062922,
    0.16087518213316798,
    0.13951369281858206,
    0.1191832385957241,
    0.10150607023388147,
    0.09322052029892802,
    0.09473260072991252,
    0.09278939245268703,
    0.10471988888457417,
    0.11805647239089012,
    0.1491243257187307,
    0.1756207854487002,
    0.17589093511924148,
    0.1652125925756991,
    0.15764064341783524,
    0.15873996494337916,
    0.1735120895318687,
    0.18654138455167413,
    0.1885807472281158,
    0.17115356074646115,
    0.15788444643840194,
    0.14907447574660182,
    0.16070636687800288,
    0.1727522793225944,
    0.162631134968251,
    0.14875503489747643,
    0.13139636488631368,
    0.1316413371823728,
    0.12979649612680078,
    0.13545299926772714,
    0.14977884897962213,
    0.16499444004148245,
    0.17208159575238824,
    0.15904077515006065,
    0.15672902157530189,
    0.16334401397034526,
    0.16640983102843165,
    0.15482697496190667,
    0.14525094674900174,
    0.14715397357940674,
    0.145800000987947,
    0.13602323131635785,
    0.13593374518677592,
    0.1424279771745205,
    0.14593778597190976,
    0.15578042715787888,
    0.1537545402534306,
    0.15032665757462382,
    0.15530325518921018,
    0.1592680630274117,
    0.16029458539560437,
    0.16294875787571073,
    0.16342734405770898,
    0.15724547812715173,
    0.16423794394358993,
    0.1802404378540814,
    0.20140598295256495,
    0.19735769974067807,
    0.1710489927791059,
    0.145790443290025,
    0.13115857122465968,
    0.12400455819442868,
    0.11240277858451009,
    0.11141875432804227,
    0.12724859593436122,
    0.13973951013758779,
    0.1580026955343783,
    0.18279982218518853,
    0.20057461317628622,
    0.22035984741523862,
    0.23131122766062617,
    0.21285620098933578,
    0.17990503972396255,
    0.15388393448665738,
    0.12195922015234828,
    0.09873792668804526,
    0.07539819506928325,
    0.06800949340686202,
    0.06536408374086022
  ],
  "coil": [
    0.38001981377601624,
    0.3768698275089264,
    0.38541263341903687,
    0.40761181712150574,
    0.4188498556613922,
    0.4161933958530426,
    0.42952489852905273,
    0.4269825518131256,
    0.4392189681529999,
    0.5148407816886902,
    0.5770514607429504,
    0.6002012491226196,
    0.6255699694156647,
    0.6431528627872467,
    0.611512303352356,
    0.5828039348125458,
    0.5296446681022644,
    0.4809298515319824,
    0.391961932182312,
    0.32887497544288635,
    0.2644454538822174,
    0.20928451418876648,
    0.1421472430229187,
    0.10341282188892365,
    0.09686115384101868,
    0.09209732711315155,
    0.07195471227169037,
    0.06894756853580475,
    0.07093046605587006,
    0.1050586998462677,
    0.19399908185005188,
    0.2783547341823578,
    0.3728462755680084,
    0.44155439734458923,
    0.5053652226924896,
    0.5320895910263062,
    0.5282095521688461,
    0.5070287883281708,
    0.4929569959640503,
    0.4970637112855911,
    0.4684359133243561,
    0.4198291599750519,
    0.409481406211853,
    0.4133230000734329,
    0.3834490180015564,
    0.3663705587387085,
    0.3378269821405411,
    0.3139639347791672,
    0.30532562732696533,
    0.30760470032691956,
    0.33997371792793274,
    0.3622652590274811,
    0.40445375442504883,
    0.4514133930206299,
    0.4902936518192291,
    0.48724380135536194,
    0.47892366349697113,
    0.44122976064682007,
    0.42089247703552246,
    0.36896687746047974,
    0.32531553506851196,
    0.27849456667900085,
    0.3071499168872833,
    0.32282204926013947,
    0.34283705055713654,
    0.39664386212825775,
    0.4500086009502411,
    0.46514657139778137,
    0.4605875015258789,
    0.48093175888061523,
    0.4748286306858063,
    0.45171841979026794,
    0.4047636091709137,
    0.3375142812728882,
    0.27945806086063385,
    0.25225314497947693,
    0.2416372150182724,
    0.22789736092090607,
    0.2123853862285614,
    0.23980388045310974,
    0.2876051366329193,
    0.36542893946170807,
    0.47067350149154663,
    0.5521971732378006,
    0.5773365795612335,
    0.5910414904356003,
    0.5542553812265396,
    0.5069444179534912,
    0.43798087537288666,
    0.3946329951286316,
    0.35779766738414764,
    0.3426223546266556,
    0.3342766761779785,
    0.34874317049980164,
    0.36374489963054657,
    0.4135318249464035,
    0.43354538083076477,
    0.44074395298957825,
    0.38841934502124786,
    0.3470577895641327,
    0.2890069782733917,
    0.2602491229772568,
    0.26482918858528137,
    0.26023808121681213,
    0.2672682851552963,
    0.2769290953874588,
    0.3061946779489517,
    0.33303794264793396,
    0.34730252623558044,
    0.37847988307476044,
    0.40253764390945435,
    0.41120290756225586,
    0.3941405564546585,
    0.36536577343940735,
    0.3257352113723755,
    0.32495351135730743,
    0.321708619594574,
    0.34113387763500214,
    0.3890400230884552,
    0.4498414695262909,
    0.5171597003936768,
    0.5583233684301376,
    0.60929274559021,
    0.5753793716430664,
    0.5049762725830078,
    0.4068884998559952,
    0.29482515156269073,
    0.2080099880695343,
    0.16397419571876526,
    0.1558428555727005,
    0.16625797748565674,
    0.1732998937368393,
    0.21862123906612396,
    0.28264759480953217,
    0.3770920932292938,
    0.455876961350441,
    0.48868097364902496,
    0.49474669992923737,
    0.48125626146793365,
    0.4302392899990082,
    0.39470966160297394,
    0.38956908881664276,
    0.377482146024704,
    0.34517602622509,
    0.34101684391498566,
    0.3490252047777176,
    0.32546283304691315,
    0.30053818225860596,
    0.31507639586925507,
    0.3394811898469925,
    0.3590438514947891,
    0.3632705807685852,
    0.36679284274578094,
    0.4050673395395279,
    0.4246690273284912,
    0.43696969747543335,
    0.44185206294059753,
    0.4385591298341751,
    0.44169555604457855,
    0.45158278942108154,
    0.43707747757434845,
    0.4145830124616623,
    0.39819279313087463,
    0.3919098973274231,
    0.3969872295856476,
    0.40431663393974304,
    0.4387710392475128,
    0.4416326731443405,
    0.45384645462036133,
    0.44919463992118835,
    0.45736390352249146,
    0.4476747512817383,
    0.42093850672245026,
    0.43397215008735657,
    0.4359382390975952,
    0.41349589824676514,
    0.41738687455654144,
    0.3800382912158966,
    0.3396639972925186,
    0.3541908711194992,
    0.3877647817134857,
    0.4376313090324402,
    0.5143247097730637,
    0.5985759347677231,
    0.6469516903162003,
    0.6342654377222061,
    0.5906569808721542,
    0.5121946334838867,
    0.4285980761051178,
    0.36656269431114197,
    0.30744877457618713,
    0.27329201996326447,
    0.31056101620197296,
    0.39544855058193207,
    0.5194492787122726,
    0.6322253346443176,
    0.7109107077121735,
    0.7828797847032547,
    0.8221879154443741,
    0.835803285241127,
    0.781895637512207,
    0.6863813102245331,
    0.5716932266950607,
    0.48121045529842377,
    0.36492060124874115,
    0.2981475442647934,
    0.2502189725637436,
    0.24530695378780365,
    0.24922184646129608,
    0.29031187295913696,
    0.31876760721206665,
    0.3588644117116928,
    0.4104944318532944,
    0.4265949875116348,
    0.4471561014652252,
    0.4617636650800705,
    0.49135148525238037,
    0.4405754655599594,
    0.3639049082994461,
    0.2818206548690796,
    0.245967298746109,
    0.23777401447296143,
    0.22554470598697662,
    0.22292278707027435,
    0.2518701106309891,
    0.3041038364171982,
    0.39020588994026184,
    0.5222462713718414,
    0.6063444763422012,
    0.6624117344617844,
    0.6739941090345383,
    0.6694157123565674,
    0.5751601010560989,
    0.49182288348674774,
    0.4573698788881302,
    0.3943495601415634,
    0.3241276443004608,
    0.2673071175813675,
    0.2505364567041397,
    0.2423536777496338,
    0.246061772108078,
    0.26190081238746643,
    0.2558986097574234,
    0.2585146874189377,
    0.2656354010105133,
    0.3039642870426178,
    0.3750154376029968,
    0.4306599944829941,
    0.47644296288490295,
    0.5010546743869781,
    0.49360354244709015,
    0.4561433792114258,
    0.4202909916639328,
    0.43770286440849304,
    0.4777556359767914,
    0.49577806890010834,
    0.46117517352104187,
    0.4183275103569031,
    0.3523117005825043,
    0.3055696487426758,
    0.2689429372549057,
    0.2414383888244629,
    0.23121120035648346,
    0.2330285906791687,
    0.26416224241256714,
    0.33092279732227325,
    0.4249076396226883,
    0.5194495916366577,
    0.5818705558776855,
    0.5966170430183411,
    0.6010141521692276,
    0.5404013395309448,
    0.42392514646053314,
    0.3254668861627579,
    0.2464558184146881,
    0.1924445927143097,
    0.1889190673828125,
    0.23851415514945984,
    0.28555557131767273,
    0.354454442858696,
    0.4430742859840393,
    0.48931722342967987,
    0.5118149667978287,
    0.5030073076486588,
    0.4879183769226074,
    0.48353564739227295,
    0.46054843068122864,
    0.4055335521697998,
    0.3560805916786194,
    0.2997129261493683,
    0.2407171130180359,
    0.2182711809873581,
    0.22871732711791992,
    0.292233943939209,
    0.37485435605049133,
    0.43868689239025116,
    0.47402018308639526,
    0.5229147523641586,
    0.5718652009963989,
    0.6217111945152283,
    0.6545340716838837,
    0.6630333662033081,
    0.5703658759593964,
    0.49478697776794434,
    0.45817504823207855,
    0.41371332108974457,
    0.3740358203649521,
    0.3703821301460266,
    0.3696557879447937,
    0.3790251612663269,
    0.37066659331321716,
    0.3323913514614105,
    0.28829726576805115,
    0.24283625185489655,
    0.22783493995666504,
    0.28608205914497375,
    0.35110193490982056,
    0.38787588477134705,
    0.40896308422088623,
    0.44063371419906616,
    0.4540132135152817,
    0.43886280059814453,
    0.432929664850235,
    0.42883291840553284,
    0.40136314928531647,
    0.3496834486722946,
    0.28706464171409607,
    0.2239646017551422,
    0.19495859742164612,
    0.16224844753742218,
    0.16284947097301483,
    0.17347340285778046,
    0.24634131789207458,
    0.37130366265773773,
    0.49626491963863373,
    0.576374277472496,
    0.5847452282905579,
    0.5735410749912262,
    0.5592126399278641,
    0.5138803124427795,
    0.4561425447463989,
    0.4853786528110504,
    0.5015061646699905,
    0.469616562128067,
    0.42588891088962555,
    0.36746780574321747,
    0.3085462301969528,
    0.2576976716518402,
    0.2212027609348297,
    0.20747098326683044,
    0.21825504302978516,
    0.2701909989118576,
    0.33632655441761017,
    0.4445994347333908,
    0.5533743500709534,
    0.6535364538431168,
    0.7033587098121643,
    0.7048306465148926,
    0.6116917580366135,
    0.4937431961297989,
    0.3873880207538605,
    0.3036433756351471,
    0.199886292219162,
    0.1109391450881958,
    0.10794354975223541,
    0.1480657011270523,
    0.2347448319196701,
    0.36081743240356445,
    0.511308416724205,
    0.6040871441364288,
    0.6269118189811707,
    0.5874715596437454,
    0.5118424743413925,
    0.43531328439712524,
    0.3727637827396393,
    0.33198782801628113,
    0.3562171906232834,
    0.4279640465974808,
    0.4958818256855011,
    0.519494816660881,
    0.5191584676504135,
    0.48491089046001434,
    0.4440968632698059,
    0.35816389322280884,
    0.3003922998905182,
    0.2591431438922882,
    0.2906120866537094,
    0.34225910902023315,
    0.39582544565200806,
    0.4737344831228256,
    0.569854661822319,
    0.6639346033334732,
    0.7197753936052322,
    0.7451953440904617,
    0.7378596365451813,
    0.6422600597143173,
    0.5336904078722,
    0.4169275164604187,
    0.3189224898815155,
    0.26756152510643005,
    0.27376502752304077,
    0.28411391377449036,
    0.31025007367134094,
    0.3570253849029541,
    0.4130818843841553,
    0.47440503537654877,
    0.5239740163087845,
    0.524127647280693,
    0.5056428015232086,
    0.441061407327652,
    0.3922339975833893,
    0.34916043281555176,
    0.33725307881832123,
    0.37130206823349,
    0.4035927355289459,
    0.43500126898288727,
    0.4387887269258499,
    0.4304703176021576,
    0.34696219861507416,
    0.2547271102666855,
    0.16595645248889923,
    0.09590557217597961,
    0.05027514696121216,
    0.059192121028900146,
    0.09548842906951904,
    0.15517258644104004,
    0.23403167724609375,
    0.28610020875930786,
    0.3406473994255066,
    0.38760074973106384,
    0.41592925786972046,
    0.3928436189889908,
    0.3785625100135803,
    0.3734588623046875,
    0.38400542736053467,
    0.35167285799980164,
    0.3369867354631424,
    0.3427654951810837,
    0.34977641701698303,
    0.3366321921348572,
    0.31866098940372467,
    0.3313000947237015,
    0.3899491876363754,
    0.44669848680496216,
    0.5222400575876236,
    0.5798023641109467,
    0.617895171046257,
    0.6059850007295609,
    0.5947213172912598,
    0.5167368650436401,
    0.45323970913887024,
    0.4308934807777405,
    0.39317016303539276,
    0.34029749035835266,
    0.295264795422554,
    0.27239014208316803,
    0.263873353600502,
    0.25359728932380676,
    0.25129975378513336,
    0.2707337588071823,
    0.2967125326395035,
    0.3375585824251175,
    0.3999639004468918,
    0.46179501712322235,
    0.5032284557819366,
    0.5523556619882584,
    0.5821606665849686,
    0.565953865647316,
    0.4795410633087158,
    0.37535883486270905,
    0.333289697766304,
    0.3428478240966797,
    0.33517347276210785,
    0.3045283854007721,
    0.2943050414323807,
    0.3342687338590622,
    0.3904171884059906,
    0.43240977823734283,
    0.45999282598495483,
    0.49862802028656006,
    0.5077597796916962,
    0.48956114053726196,
    0.4294770807027817,
    0.40500693023204803,
    0.408650279045105,
    0.43849100172519684,
    0.4633270800113678,
    0.45113880932331085,
    0.4445248246192932,
    0.4295000582933426,
    0.3638368397951126,
    0.2743414640426636,
    0.2367311418056488,
    0.21095359325408936,
    0.27841466665267944,
    0.36312235891819,
    0.45647765696048737,
    0.5524951368570328,
    0.5949597507715225,
    0.5987461805343628,
    0.6163099855184555,
    0.6334458589553833,
    0.6131508201360703,
    0.6000571548938751,
    0.535427525639534,
    0.43408413231372833,
    0.33834655582904816,
    0.26380759477615356,
    0.22876790165901184,
    0.25221462547779083,
    0.3163810521364212,
    0.3969382643699646,
    0.4644356369972229,
    0.5138451009988785,
    0.5432038605213165,
    0.5603662729263306,
    0.5333452224731445,
    0.4697115123271942,
    0.4048038274049759,
    0.36541400849819183,
    0.36857590079307556,
    0.3921350687742233,
    0.44724540412425995,
    0.48497720062732697,
    0.5055797696113586,
    0.5309213101863861,
    0.5299701541662216,
    0.4483173340559006,
    0.35625118017196655,
    0.26875101029872894,
    0.2149634063243866,
    0.22161997854709625,
    0.2450081706047058,
    0.2784125953912735,
    0.32074058055877686,
    0.36192478239536285,
    0.375099778175354,
    0.38849905133247375,
    0.41589075326919556,
    0.4334731996059418,
    0.4470047503709793,
    0.4425254911184311,
    0.4325450211763382,
    0.36920078098773956,
    0.31512150168418884,
    0.23662056028842926,
    0.17121149599552155,
    0.12811438739299774,
    0.17545859515666962,
    0.30104057490825653,
    0.44049786031246185,
    0.5506382286548615,
    0.599602997303009,
    0.5990521460771561,
    0.5667254626750946,
    0.48304732143878937,
    0.43709877133369446,
    0.44685372710227966,
    0.4679783880710602,
    0.4599880874156952,
    0.42131516337394714,
    0.38029399514198303,
    0.33743198215961456,
    0.27593719959259033,
    0.23088803887367249,
    0.22434084117412567,
    0.25443848967552185,
    0.3019943982362747,
    0.3539671450853348,
    0.44162581861019135,
    0.4965881109237671,
    0.5635384023189545,
    0.6013866364955902,
    0.5941247791051865,
    0.507605254650116,
    0.4089641720056534,
    0.35690340399742126,
    0.35065828263759613,
    0.3064302057027817,
    0.2631518542766571,
    0.26979680359363556,
    0.2734973579645157,
    0.30442267656326294,
    0.3593367487192154,
    0.42898304760456085,
    0.4690043181180954,
    0.5024837106466293,
    0.538345456123352,
    0.5939229875802994,
    0.6318987607955933,
    0.6306024342775345,
    0.5689335465431213,
    0.4967448264360428,
    0.42216353118419647,
    0.3715243935585022,
    0.3122270554304123,
    0.25606296956539154,
    0.20916150510311127,
    0.19246485829353333,
    0.22132162749767303,
    0.2853015065193176,
    0.36181290447711945,
    0.4303916394710541,
    0.5003411322832108,
    0.5437270551919937,
    0.565389022231102,
    0.5437732487916946,
    0.48614487051963806,
    0.418089359998703,
    0.3532821834087372,
    0.2905377596616745,
    0.263986274600029,
    0.24067100882530212,
    0.21668629348278046,
    0.2556331157684326,
    0.3104739487171173,
    0.3687414824962616,
    0.42828942835330963,
    0.5122790336608887,
    0.5520939826965332,
    0.6137239187955856,
    0.6248841881752014,
    0.6739335060119629,
    0.7007714062929153,
    0.703333392739296,
    0.6570099145174026,
    0.5543561577796936,
    0.49014128744602203,
    0.47870682179927826,
    0.46001599729061127,
    0.4495307356119156,
    0.4701633155345917,
    0.509376049041748,
    0.5523671805858612,
    0.5769120901823044,
    0.5799718201160431,
    0.5377354472875595,
    0.46980389952659607,
    0.4033764451742172,
    0.3684122562408447,
    0.35218803584575653,
    0.3379819989204407,
    0.352874755859375,
    0.39258410036563873,
    0.46719489991664886,
    0.546385794878006,
    0.6446765214204788,
    0.6823138445615768,
    0.6581758558750153,
    0.6124421209096909,
    0.5599510371685028,
    0.5062238872051239,
    0.4462011456489563,
    0.3753742575645447,
    0.3325805217027664,
    0.27673186361789703,
    0.23891988396644592,
    0.2512238621711731,
    0.2908763438463211,
    0.3816332668066025,
    0.46111445128917694,
    0.5076886564493179,
    0.5194975286722183,
    0.49889734387397766,
    0.434421107172966,
    0.3724156767129898,
    0.3130851984024048,
    0.23340719938278198,
    0.16993804275989532,
    0.12027697265148163,
    0.09213480353355408,
    0.09295764565467834,
    0.14961197972297668,
    0.2511482536792755,
    0.3493724912405014,
    0.4222116321325302,
    0.5163533836603165,
    0.588069424033165,
    0.684040293097496,
    0.7202794104814529,
    0.6960166841745377,
    0.5695857256650925,
    0.4605891704559326,
    0.4088858515024185,
    0.38931120932102203,
    0.36076322197914124,
    0.31288012862205505,
    0.29670311510562897,
    0.28828004002571106,
    0.30985671281814575,
    0.3066973388195038,
    0.3148275762796402,
    0.33449481427669525,
    0.384053036570549,
    0.4477648586034775,
    0.516647219657898,
    0.6003701686859131,
    0.6422493904829025,
    0.6270048767328262,
    0.6060967445373535,
    0.5489608347415924,
    0.45548492670059204,
    0.3357107788324356,
    0.23968811333179474,
    0.19742339849472046,
    0.22991588711738586,
    0.304880753159523,
    0.3932320773601532,
    0.48762236535549164,
    0.570883497595787,
    0.6359415054321289,
    0.6529553383588791,
    0.6827770322561264,
    0.6783861666917801,
    0.6377331614494324,
    0.5899142920970917,
    0.5205434411764145,
    0.44950947165489197,
    0.3901173025369644,
    0.32545338571071625,
    0.27903038263320923,
    0.27377475798130035,
    0.28961390256881714,
    0.32900023460388184,
    0.4040851444005966,
    0.5137507170438766,
    0.608581006526947,
    0.7080629616975784,
    0.6862302273511887,
    0.5774168819189072,
    0.4971369057893753,
    0.4473823308944702,
    0.3959239721298218,
    0.3520802706480026,
    0.3391585201025009,
    0.3604579120874405,
    0.37954336404800415,
    0.39025694131851196,
    0.40176600217819214,
    0.37025846540927887,
    0.32793495059013367,
    0.24453315138816833,
    0.20820198953151703,
    0.1995449811220169,
    0.2034098207950592,
    0.2019674926996231,
    0.22228148579597473,
    0.28074438869953156,
    0.3527481406927109,
    0.4053621292114258,
    0.4440518617630005,
    0.4785298705101013,
    0.46126188337802887,
    0.37341436743736267,
    0.267617866396904,
    0.1801876276731491,
    0.1443394273519516,
    0.16702473163604736,
    0.23072612285614014,
    0.28903430700302124,
    0.3405604213476181,
    0.4145221412181854,
    0.48881109058856964,
    0.5559204667806625,
    0.5644135773181915,
    0.5346792936325073,
    0.502658799290657,
    0.4855078160762787,
    0.4570075422525406,
    0.44356854259967804,
    0.4374094754457474,
    0.44160209596157074,
    0.4371526539325714,
    0.418925404548645,
    0.3898277282714844,
    0.34912770986557007,
    0.34161314368247986,
    0.35141654312610626,
    0.3746567964553833,
    0.43163932859897614,
    0.48551635444164276,
    0.5621316134929657,
    0.6429743468761444,
    0.7220405638217926,
    0.7024302780628204,
    0.6447933465242386,
    0.5178094059228897,
    0.4212964326143265,
    0.35295993089675903,
    0.2819157838821411,
    0.24458016455173492,
    0.2370205521583557,
    0.2504339814186096,
    0.2546348124742508,
    0.2802504301071167,
    0.3062175214290619,
    0.3440735787153244,
    0.3722929060459137,
    0.3942004144191742,
    0.4170796722173691,
    0.4711443930864334,
    0.5489334762096405,
    0.5916589945554733,
    0.5742108225822449,
    0.5430708527565002,
    0.5155096650123596,
    0.49122391641139984,
    0.4141998440027237,
    0.32138119637966156,
    0.2496105283498764,
    0.21991601586341858,
    0.22963464260101318,
    0.2936607301235199,
    0.4172859638929367,
    0.5471797734498978,
    0.636621966958046,
    0.641734778881073,
    0.6175790578126907,
    0.5801694840192795,
    0.5446178913116455,
    0.4708556830883026,
    0.3777613192796707,
    0.3139352798461914,
    0.28638042509555817,
    0.3008729964494705,
    0.32127778232097626,
    0.3908904194831848,
    0.47683650255203247,
    0.569884181022644,
    0.6372578591108322,
    0.6840450614690781,
    0.6748835295438766,
    0.5883689224720001,
    0.5029011964797974,
    0.43716564774513245,
    0.38403256237506866,
    0.3411983847618103,
    0.312181681394577,
    0.3208068609237671,
    0.35621997714042664,
    0.3957879841327667,
    0.3943079113960266,
    0.38233041763305664,
    0.3434622436761856,
    0.3258531540632248,
    0.27777135372161865,
    0.26888641715049744,
    0.3211769014596939,
    0.3328567445278168,
    0.3264547139406204,
    0.33461856842041016,
    0.3892868012189865,
    0.3934788852930069,
    0.3808514177799225,
    0.386608824133873,
    0.40676249563694,
    0.39123520255088806,
    0.3465309739112854,
    0.3010599762201309,
    0.2736842483282089,
    0.2429807186126709,
    0.20200392603874207,
    0.20296171307563782,
    0.22567220032215118,
    0.3016194999217987,
    0.3891622722148895,
    0.4811490923166275,
    0.5393543094396591,
    0.5865978896617889,
    0.5734733641147614,
    0.5430404394865036,
    0.4614018499851227,
    0.3949705809354782,
    0.3733389973640442,
    0.35403110086917877,
    0.29619380831718445,
    0.23489414155483246,
    0.21368832886219025,
    0.20938964188098907,
    0.19798779487609863,
    0.18738432228565216,
    0.2059934437274933,
    0.2579770088195801,
    0.3351815491914749,
    0.4136981964111328,
    0.5063266009092331,
    0.5763618052005768,
    0.6352586448192596,
    0.6752371191978455,
    0.6760797798633575,
    0.6046837866306305,
    0.5461587011814117,
    0.5615274757146835,
    0.5690124034881592,
    0.5529211759567261,
    0.5271902680397034,
    0.49988195300102234,
    0.45387646555900574,
    0.41097959876060486,
    0.3607666790485382,
    0.34969761967658997,
    0.3642338216304779,
    0.4104609489440918,
    0.4740719497203827,
    0.5629470348358154,
    0.679352656006813,
    0.7229043543338776,
    0.6811709403991699,
    0.6272025406360626,
    0.5585824698209763,
    0.4878426492214203,
    0.3725772947072983,
    0.28522779047489166,
    0.22042188048362732,
    0.21378903090953827,
    0.22968199849128723,
    0.2898026406764984,
    0.38598939776420593,
    0.49922990798950195,
    0.5759745240211487,
    0.5994067937135696,
    0.6543052643537521,
    0.6427043378353119,
    0.5792501717805862,
    0.544492706656456,
    0.483751118183136,
    0.398677721619606,
    0.2975163459777832,
    0.23543140292167664,
    0.1878577321767807,
    0.15536148846149445,
    0.16276168823242188,
    0.23262131214141846,
    0.3337111622095108,
    0.4620019644498825,
    0.5544610917568207,
    0.6290524452924728,
    0.6171409785747528,
    0.5711706578731537,
    0.5292264074087143,
    0.4895120859146118,
    0.48828084766864777,
    0.4935741424560547,
    0.5085438042879105,
    0.5071774274110794,
    0.524682030081749,
    0.5085932463407516,
    0.434403657913208,
    0.343182772397995,
    0.23613253235816956,
    0.19796915352344513,
    0.23116615414619446,
    0.3104817420244217,
    0.3817133754491806,
    0.46781913936138153,
    0.5857740640640259,
    0.6762928068637848,
    0.7342304438352585,
    0.7868110835552216,
    0.7629391252994537,
    0.6884854733943939,
    0.5700291097164154,
    0.4601326584815979,
    0.3533911406993866,
    0.2751130908727646,
    0.21853621304035187,
    0.19825862348079681,
    0.21271149814128876,
    0.28776930272579193,
    0.4075167179107666,
    0.5404534786939621,
    0.6729147732257843,
    0.7525981068611145,
    0.7784685492515564,
    0.7650762051343918,
    0.6974760293960571,
    0.6344442218542099,
    0.6189290881156921,
    0.5737366527318954,
    0.4978512078523636,
    0.4193730354309082,
    0.3653050661087036,
    0.325004443526268,
    0.27795618772506714,
    0.24159666895866394,
    0.21730750799179077,
    0.22287088632583618,
    0.2615305036306381,
    0.31616924703121185,
    0.3935987651348114,
    0.4361574500799179,
    0.431702196598053,
    0.4352381229400635,
    0.42340895533561707,
    0.4082838147878647,
    0.41630323231220245,
    0.4034374952316284,
    0.4269667863845825,
    0.5015598684549332,
    0.5744129419326782,
    0.6044744551181793,
    0.5529240518808365,
    0.4784743934869766,
    0.43304650485515594,
    0.4100847840309143,
    0.3737592101097107,
    0.37560631334781647,
    0.42461080849170685,
    0.45064783096313477,
    0.48643171787261963,
    0.5651190280914307,
    0.5920299738645554,
    0.5901068300008774,
    0.5430331379175186,
    0.4768421947956085,
    0.3987662047147751,
    0.3263496607542038,
    0.22679761052131653,
    0.16626416146755219,
    0.13230560719966888,
    0.11344867944717407,
    0.1554560661315918,
    0.2364518940448761,
    0.3462182283401489,
    0.45668381452560425,
    0.5768177956342697,
    0.642255112528801,
    0.720726490020752,
    0.7030434161424637,
    0.6229396462440491,
    0.5095569640398026,
    0.3872450590133667,
    0.2759176343679428,
    0.19698625802993774,
    0.18467433750629425,
    0.21393506228923798,
    0.2784140110015869,
    0.3423270732164383,
    0.41319048404693604,
    0.4693697541952133,
    0.5399523079395294,
    0.5310909450054169,
    0.5113462954759598,
    0.4742578864097595,
    0.49805527925491333,
    0.4972561150789261,
    0.5070109963417053,
    0.4780546575784683,
    0.44763705134391785,
    0.46048346161842346,
    0.44906245172023773,
    0.380220428109169,
    0.2690647542476654,
    0.16560164093971252,
    0.09218928217887878,
    0.06779809296131134,
    0.09860849380493164,
    0.15898825228214264,
    0.25375692546367645,
    0.33416779339313507,
    0.3679993748664856,
    0.3659632056951523,
    0.3442472219467163,
    0.29858919978141785,
    0.24248754978179932,
    0.18350018560886383,
    0.16090594232082367,
    0.1327536702156067,
    0.1312868595123291,
    0.12759430706501007,
    0.15737801790237427,
    0.20151713490486145,
    0.2842869609594345,
    0.3626874089241028,
    0.41214846074581146,
    0.4514441639184952,
    0.44699084758758545,
    0.43393266201019287,
    0.3956304341554642,
    0.356938898563385,
    0.3627391755580902,
    0.3970089852809906,
    0.4158381074666977,
    0.46111762523651123,
    0.48354144394397736,
    0.49104149639606476,
    0.4611082971096039,
    0.40830300748348236,
    0.3213280886411667,
    0.2523905485868454,
    0.1871122419834137,
    0.15387143194675446,
    0.1613951474428177,
    0.19883543252944946,
    0.2574305832386017,
    0.35016004741191864,
    0.4470660835504532,
    0.5120205283164978,
    0.5631600320339203,
    0.5673230737447739,
    0.5577094554901123,
    0.5145058035850525,
    0.4875822961330414,
    0.4966689199209213,
    0.4932062476873398,
    0.48660095036029816,
    0.4832557886838913,
    0.4703477770090103,
    0.38961361348629,
    0.3215879052877426,
    0.27283261716365814,
    0.24002717435359955,
    0.21293623745441437,
    0.24784858524799347,
    0.3534686863422394,
    0.5149653851985931,
    0.6604947149753571,
    0.7248840481042862,
    0.7125242203474045,
    0.6843428760766983,
    0.6540218740701675,
    0.607900083065033,
    0.5023956447839737,
    0.40878596901893616,
    0.3181014060974121,
    0.2715088874101639,
    0.2609618008136749,
    0.26742948591709137,
    0.3076718598604202,
    0.38533273339271545,
    0.47808729112148285,
    0.5356603711843491,
    0.6012375205755234,
    0.6487800925970078,
    0.6308442205190659,
    0.6122631579637527,
    0.5973763167858124,
    0.5262340605258942,
    0.45743222534656525,
    0.35380303859710693,
    0.28141798079013824,
    0.2510864734649658,
    0.2559906542301178,
    0.26710906624794006,
    0.2920886129140854,
    0.35799379646778107,
    0.40124882757663727,
    0.4372313618659973,
    0.46206042170524597,
    0.4882301092147827,
    0.44038093090057373,
    0.3904450833797455,
    0.36671240627765656,
    0.37779945135116577,
    0.3949367254972458,
    0.4264466017484665,
    0.4573804587125778,
    0.4922608286142349,
    0.5526203215122223,
    0.5839394629001617,
    0.5209196209907532,
    0.4362444579601288,
    0.3332129567861557,
    0.2637532949447632,
    0.2394077181816101,
    0.23295141756534576,
    0.22304561734199524,
    0.2518913149833679,
    0.2955826073884964,
    0.34992240369319916,
    0.3691057115793228,
    0.38285693526268005,
    0.39551304280757904,
    0.3881661146879196,
    0.3635687232017517,
    0.31358131766319275,
    0.2536145746707916,
    0.21233564615249634,
    0.18785160779953003,
    0.18148595094680786,
    0.21393996477127075,
    0.2668403536081314,
    0.368786945939064,
    0.4827239662408829,
    0.6107417196035385,
    0.6864094138145447,
    0.7303822785615921,
    0.7487087547779083,
    0.6996312141418457,
    0.6532858908176422,
    0.6454077810049057,
    0.6320343911647797,
    0.5909801125526428,
    0.5271180421113968,
    0.42997051775455475,
    0.35418061912059784,
    0.24516130983829498,
    0.16267645359039307,
    0.12184680998325348,
    0.1263393759727478,
    0.17250990867614746,
    0.2582922428846359,
    0.4008544683456421,
    0.5225059241056442,
    0.6188807934522629,
    0.6739031672477722,
    0.6745114773511887,
    0.5615044683218002,
    0.4064611345529556,
    0.32033365964889526,
    0.28337720036506653,
    0.24574293196201324,
    0.23912227153778076,
    0.2872254550457001,
    0.35864144563674927,
    0.4200896918773651,
    0.5063216090202332,
    0.5757999867200851,
    0.5945109277963638,
    0.5996553748846054,
    0.5588600337505341,
    0.5002551078796387,
    0.4303426146507263,
    0.4135688841342926,
    0.4163867384195328,
    0.4318382143974304,
    0.46394655108451843,
    0.5545488744974136,
    0.6210641115903854,
    0.6589063853025436,
    0.64385786652565,
    0.6201579719781876,
    0.5728557258844376,
    0.5232512205839157,
    0.42013980448246,
    0.3125803470611572,
    0.2638496458530426,
    0.2579333484172821,
    0.28104160726070404,
    0.32902148365974426,
    0.4165457487106323,
    0.48376744985580444,
    0.5716259479522705,
    0.604732096195221,
    0.635386273264885,
    0.6219625622034073,
    0.58034548163414,
    0.5724535435438156,
    0.516944169998169,
    0.4180188775062561,
    0.3282061964273453,
    0.23084308207035065,
    0.17628207802772522,
    0.2144922912120819,
    0.3042963743209839,
    0.4175448417663574,
    0.5086202174425125,
    0.5647110044956207,
    0.5814213305711746,
    0.5599909573793411,
    0.5006363689899445,
    0.440680593252182,
    0.3797948658466339,
    0.3677462041378021,
    0.3917301148176193,
    0.42180581390857697,
    0.44202081859111786,
    0.45957235991954803,
    0.5003840625286102,
    0.5104506611824036,
    0.44298653304576874,
    0.38768208026885986,
    0.31859147548675537,
    0.2785634845495224,
    0.2710723727941513,
    0.27755098044872284,
    0.2718415856361389,
    0.26057910919189453,
    0.29267460107803345,
    0.33493462204933167,
    0.3644816130399704,
    0.42033758759498596,
    0.4756154716014862,
    0.48645031452178955,
    0.44447460770606995,
    0.40434904396533966,
    0.3452043682336807,
    0.30021828413009644,
    0.2649378478527069,
    0.28060416877269745,
    0.3191542327404022,
    0.38020777702331543,
    0.4569007456302643,
    0.5207158774137497,
    0.6047507375478745,
    0.6479110866785049,
    0.6518954932689667,
    0.6532469391822815,
    0.5957600921392441,
    0.542856901884079,
    0.5107430219650269,
    0.4663509577512741,
    0.41097085177898407,
    0.3328818082809448,
    0.2608201503753662,
    0.20195047557353973,
    0.1821146309375763,
    0.17520514130592346,
    0.17244690656661987,
    0.1988237351179123,
    0.25325508415699005,
    0.3187933415174484,
    0.36438971757888794,
    0.43581703305244446,
    0.4712407737970352,
    0.4924696236848831,
    0.5084932148456573,
    0.5383337587118149,
    0.5609141886234283,
    0.5680626928806305,
    0.5546623766422272,
    0.5396085530519485,
    0.5287936329841614,
    0.4990333616733551,
    0.4765060842037201,
    0.4898371547460556,
    0.5423314273357391,
    0.5720187425613403,
    0.5700186491012573,
    0.5623096972703934,
    0.5445413589477539,
    0.4898301213979721,
    0.41881637275218964,
    0.3375777304172516,
    0.2968440502882004,
    0.25808070600032806,
    0.23105886578559875,
    0.22497378289699554,
    0.22227036952972412,
    0.24793319404125214,
    0.2970259338617325,
    0.32218237221241,
    0.37408164143562317,
    0.42007288336753845,
    0.4731775224208832,
    0.4730200320482254,
    0.440642774105072,
    0.4132751375436783,
    0.4216092973947525,
    0.4053894579410553,
    0.3850044161081314,
    0.35989509522914886,
    0.3690434694290161,
    0.39609456062316895,
    0.42352941632270813,
    0.4542085826396942,
    0.48185211420059204,
    0.48950842022895813,
    0.4889746308326721,
    0.49198196828365326,
    0.4592282474040985,
    0.42372848093509674,
    0.3601319044828415,
    0.3434493988752365,
    0.318561851978302,
    0.2832631319761276,
    0.2618057131767273,
    0.2798103839159012,
    0.3328535109758377,
    0.387880802154541,
    0.48746639490127563,
    0.5776940882205963,
    0.6341319978237152,
    0.6048599183559418,
    0.5223597139120102,
    0.46169528365135193,
    0.40400467813014984,
    0.3432062268257141,
    0.26300472021102905,
    0.2214110791683197,
    0.23087553679943085,
    0.26961836218833923,
    0.3082256019115448,
    0.35050368309020996,
    0.3766990900039673,
    0.3478763699531555,
    0.3045284152030945,
    0.24584166705608368,
    0.22001707553863525,
    0.23405060172080994,
    0.28642284870147705,
    0.3345707356929779,
    0.37688232958316803,
    0.4359690546989441,
    0.46844619512557983,
    0.5102988183498383,
    0.5621835142374039,
    0.6014192849397659,
    0.6008656769990921,
    0.5645642876625061,
    0.4936946779489517,
    0.426580086350441,
    0.347790390253067,
    0.26174716651439667,
    0.21653318405151367,
    0.19518212974071503,
    0.21752095222473145,
    0.28143712878227234,
    0.3787562996149063,
    0.4983506500720978,
    0.5666758567094803,
    0.5969142615795135,
    0.5877940356731415,
    0.5749814659357071,
    0.5202825367450714,
    0.437180757522583,
    0.362342432141304,
    0.305803507566452,
    0.24521024525165558,
    0.22772003710269928,
    0.20549488067626953,
    0.21842023730278015,
    0.2503262460231781,
    0.31141385436058044,
    0.3626006096601486,
    0.4198894053697586,
    0.448429673910141,
    0.5017002671957016,
    0.5129872560501099,
    0.5136910825967789,
    0.49884432554244995,
    0.4571961462497711,
    0.39354170858860016,
    0.3319878578186035,
    0.33450570702552795,
    0.35320982336997986,
    0.37111222743988037,
    0.3594554364681244,
    0.33227330446243286,
    0.2816360294818878,
    0.27572181820869446,
    0.2717316001653671,
    0.3206076920032501,
    0.3700527995824814,
    0.4265906810760498,
    0.5027072578668594,
    0.6094971299171448,
    0.6729689389467239,
    0.6457351446151733,
    0.6153862029314041,
    0.5498832017183304,
    0.49197089672088623,
    0.41420552134513855,
    0.3439864069223404,
    0.26692745089530945,
    0.24317243695259094,
    0.24962660670280457,
    0.29229697585105896,
    0.3384987711906433,
    0.3950769901275635,
    0.4808884263038635,
    0.5921032577753067,
    0.702680304646492,
    0.7855907529592514,
    0.8010121732950211,
    0.7759266942739487,
    0.7362053543329239,
    0.6729246526956558,
    0.6069421321153641,
    0.5101660937070847,
    0.39427536725997925,
    0.2812210023403168,
    0.20574994385242462,
    0.18377754092216492,
    0.19792884588241577,
    0.28639286756515503,
    0.3807971477508545,
    0.46882618963718414,
    0.5479210913181305,
    0.5946497321128845,
    0.5759153217077255,
    0.5263656079769135,
    0.4547596871852875,
    0.3872917592525482,
    0.3571743667125702,
    0.34980933368206024,
    0.33959244191646576,
    0.33988289535045624,
    0.3774607479572296,
    0.4171322286128998,
    0.4399852156639099,
    0.4559156000614166,
    0.44148969650268555,
    0.4232938885688782,
    0.40538088977336884,
    0.4137319326400757,
    0.428248330950737,
    0.44827912747859955,
    0.4958558529615402,
    0.5159500241279602,
    0.5433946698904037,
    0.5270227342844009,
    0.49440886080265045,
    0.4710926413536072,
    0.4479992091655731,
    0.36302727460861206,
    0.27102598547935486,
    0.21604430675506592,
    0.17843811213970184,
    0.15443266928195953,
    0.15884549915790558,
    0.16916468739509583,
    0.18607385456562042,
    0.2532346248626709,
    0.3512227088212967,
    0.45194362103939056,
    0.5033393502235413,
    0.48522572219371796,
    0.44587545096874237,
    0.45336104929447174,
    0.46399039030075073,
    0.42544060945510864,
    0.3849426805973053,
    0.34524641931056976,
    0.3201677203178406,
    0.30035410821437836,
    0.30424143373966217,
    0.31715236604213715,
    0.3231348693370819,
    0.3285026401281357,
    0.334243506193161,
    0.3254859894514084,
    0.29334092140197754,
    0.2916024625301361,
    0.301896333694458,
    0.33834417164325714,
    0.3982944041490555,
    0.47925248742103577,
    0.5477087050676346,
    0.6116786599159241,
    0.6244178265333176,
    0.5977853238582611,
    0.511445015668869,
    0.4118892252445221,
    0.38506612181663513,
    0.4151401221752167,
    0.428262397646904,
    0.4244023263454437,
    0.4132159352302551,
    0.4158781170845032,
    0.4208497107028961,
    0.400791734457016,
    0.418287456035614,
    0.4406045079231262,
    0.46970362961292267,
    0.5570008158683777,
    0.6724516749382019,
    0.7308352589607239,
    0.7136275470256805,
    0.6792424470186234,
    0.618601530790329,
    0.5366884768009186,
    0.4472057521343231,
    0.3803851753473282,
    0.31274695694446564,
    0.23362046480178833,
    0.21679481863975525,
    0.24625489115715027,
    0.34401121735572815,
    0.4323806166648865,
    0.5041483640670776,
    0.5418371707201004,
    0.583615630865097,
    0.5618936866521835,
    0.4638981223106384,
    0.39794623851776123,
    0.3319307714700699,
    0.29005636274814606,
    0.2474813610315323,
    0.22764341533184052,
    0.2217128872871399,
    0.25491800904273987,
    0.31667834520339966,
    0.40877169370651245,
    0.5041877925395966,
    0.611373245716095,
    0.6601307392120361,
    0.6518528908491135,
    0.610295757651329,
    0.5111832022666931,
    0.4437658488750458,
    0.39318662881851196,
    0.3703383803367615,
    0.3712256997823715,
    0.4174785166978836,
    0.47193993628025055,
    0.5220435261726379,
    0.5322629362344742,
    0.4940303713083267,
    0.44607099890708923,
    0.3537093997001648,
    0.2844865918159485,
    0.27288565039634705,
    0.30023306608200073,
    0.3015359938144684,
    0.33551014959812164,
    0.41127966344356537,
    0.4774624854326248,
    0.465487003326416,
    0.45496658980846405,
    0.4558389484882355,
    0.42524032294750214,
    0.3665512651205063,
    0.3232695162296295,
    0.2860867977142334,
    0.2530704736709595,
    0.21743039786815643,
    0.213766947388649,
    0.23326551914215088,
    0.29510830342769623,
    0.38407671451568604,
    0.4985034316778183,
    0.6126281917095184,
    0.6695287972688675,
    0.6843797117471695,
    0.6974805146455765,
    0.6508500277996063,
    0.5838112235069275,
    0.5556157529354095,
    0.5159257799386978,
    0.45215606689453125,
    0.3771892935037613,
    0.3167255073785782,
    0.2873697131872177,
    0.25598472356796265,
    0.2444855272769928,
    0.2553053945302963,
    0.2711561620235443,
    0.30443981289863586,
    0.34078197181224823,
    0.430056095123291,
    0.48426248133182526,
    0.5245446860790253,
    0.5262293219566345,
    0.5039962232112885,
    0.43980464339256287,
    0.39373187720775604,
    0.392720103263855,
    0.39080825448036194,
    0.3580351620912552,
    0.31138184666633606,
    0.26055794954299927,
    0.21705946326255798,
    0.1759507805109024,
    0.13251177966594696,
    0.1327381432056427,
    0.17577612400054932,
    0.2680666297674179,
    0.38630425930023193,
    0.5539189130067825,
    0.7204156816005707,
    0.7723731845617294,
    0.7246451675891876,
    0.637280061841011,
    0.541055217385292,
    0.4564098119735718,
    0.35628823935985565,
    0.27344492077827454,
    0.22327157855033875,
    0.2339601218700409,
    0.274305984377861,
    0.34400682151317596,
    0.4277340918779373,
    0.5048057287931442,
    0.540707066655159,
    0.51781265437603,
    0.5248271375894547,
    0.5277065485715866,
    0.5132450610399246,
    0.5224470347166061,
    0.5100608170032501,
    0.45486409962177277,
    0.4194132536649704,
    0.39703866839408875,
    0.40669095516204834,
    0.4457467794418335,
    0.46146273612976074,
    0.47208866477012634,
    0.48110760748386383,
    0.4766162484884262,
    0.44351160526275635,
    0.4366386830806732,
    0.44065234065055847,
    0.4670524597167969,
    0.4963696151971817,
    0.5339579582214355,
    0.5738365203142166,
    0.5705947577953339,
    0.5814013928174973,
    0.5422610491514206,
    0.43643368780612946,
    0.3272494077682495,
    0.2087489366531372,
    0.16075283288955688,
    0.16450780630111694,
    0.19078125059604645,
    0.221143901348114,
    0.2698647230863571,
    0.32960355281829834,
    0.38598357141017914,
    0.3946009576320648,
    0.3943374454975128,
    0.3968732953071594,
    0.352609321475029,
    0.31098440289497375,
    0.2819676399230957,
    0.26870299875736237,
    0.2785690128803253,
    0.2396238148212433,
    0.21072903275489807,
    0.1996242254972458,
    0.2399931699037552,
    0.31928929686546326,
    0.43120838701725006,
    0.559394359588623,
    0.6478821486234665,
    0.6767027974128723,
    0.680235892534256,
    0.6134546995162964,
    0.5532434731721878,
    0.5442342162132263,
    0.5103931576013565,
    0.4463408291339874,
    0.3610239177942276,
    0.29601262509822845,
    0.2544301301240921,
    0.2279900163412094,
    0.2276884764432907,
    0.2555511146783829,
    0.2901816964149475,
    0.3289983868598938,
    0.3865242153406143,
    0.47194093465805054,
    0.5238319784402847,
    0.5727552026510239,
    0.5803328603506088,
    0.5596234351396561,
    0.5005398243665695,
    0.45042259991168976,
    0.44335880875587463,
    0.45623037219047546,
    0.4312124699354172,
    0.41088855266571045,
    0.3896489292383194,
    0.3572206348180771,
    0.32890820503234863,
    0.3287326246500015,
    0.36104175448417664,
    0.3983566015958786,
    0.4392678886651993,
    0.47435641288757324,
    0.5474758744239807,
    0.6108729541301727,
    0.6273358762264252,
    0.5782753378152847,
    0.4762151390314102,
    0.4077208936214447,
    0.3608732223510742,
    0.3055822402238846,
    0.25850073993206024,
    0.25596901774406433,
    0.27634602785110474,
    0.3360462635755539,
    0.42520956695079803,
    0.5118368268013,
    0.5380570292472839,
    0.5389027148485184,
    0.5228022038936615,
    0.5017448514699936,
    0.4727308303117752,
    0.4835493862628937,
    0.4695751667022705,
    0.398168683052063,
    0.34080496430397034,
    0.2549419552087784,
    0.2012585997581482,
    0.18780477344989777,
    0.23107074201107025,
    0.3002029210329056,
    0.41734589636325836,
    0.563177689909935,
    0.6465107798576355,
    0.6906862258911133,
    0.6692378520965576,
    0.5959665477275848,
    0.47892285883426666,
    0.3655622601509094,
    0.26562485098838806,
    0.18268832564353943,
    0.18371059000492096,
    0.22256658971309662,
    0.2979627996683121,
    0.3819044232368469,
    0.4556528925895691,
    0.47358015179634094,
    0.4787011444568634,
    0.47951640188694,
    0.45090822875499725,
    0.4549267888069153,
    0.439092293381691,
    0.39998386800289154,
    0.3885495066642761,
    0.4330461770296097,
    0.4491199553012848,
    0.42537806928157806,
    0.4029095619916916,
    0.3846956044435501,
    0.32307836413383484,
    0.27513091266155243,
    0.2592152953147888,
    0.24302887916564941,
    0.2250237762928009,
    0.20031945407390594,
    0.1919948160648346,
    0.19864028692245483,
    0.25423793494701385,
    0.36086323857307434,
    0.47122956812381744,
    0.5708298832178116,
    0.5972496569156647,
    0.5814376473426819,
    0.5194360464811325,
    0.43973079323768616,
    0.37596748769283295,
    0.35434576869010925,
    0.325370654463768,
    0.29089808464050293,
    0.26191453635692596,
    0.24561141431331635,
    0.23637911677360535,
    0.2261003702878952,
    0.22776088118553162,
    0.22152915596961975,
    0.23006758093833923,
    0.24053199589252472,
    0.28768663108348846,
    0.391622856259346,
    0.4796535074710846,
    0.5522219687700272,
    0.5812381505966187,
    0.558767169713974,
    0.5019358247518539,
    0.4619903713464737,
    0.4634064733982086,
    0.47035636007785797,
    0.4565151631832123,
    0.4428008794784546,
    0.4286118298768997,
    0.4231846481561661,
    0.427551731467247,
    0.40634341537952423,
    0.3817417323589325,
    0.3771931827068329,
    0.3764098882675171,
    0.38255152106285095,
    0.4379284232854843,
    0.4771590083837509,
    0.46512942016124725,
    0.4223582297563553,
    0.39483729004859924,
    0.3376683443784714,
    0.27902987599372864,
    0.21414710581302643,
    0.15794174373149872,
    0.14718446135520935,
    0.16851508617401123,
    0.23213964700698853,
    0.31515952944755554,
    0.41784733533859253,
    0.5056630373001099,
    0.5778069496154785,
    0.5800222754478455,
    0.6149486154317856,
    0.625546857714653,
    0.618367001414299,
    0.6231711357831955,
    0.5801325738430023,
    0.4861607253551483,
    0.36951281130313873,
    0.2507004886865616,
    0.16016562283039093,
    0.16080975532531738,
    0.2184128761291504,
    0.3021586239337921,
    0.3529057949781418,
    0.4377114772796631,
    0.44944196939468384,
    0.45405113697052,
    0.3987424373626709,
    0.3293204754590988,
    0.2869372069835663,
    0.276936799287796,
    0.2864256799221039,
    0.32091255486011505,
    0.3494492322206497,
    0.41627664864063263,
    0.499292328953743,
    0.5126761496067047,
    0.45344382524490356,
    0.38855767250061035,
    0.2988694906234741,
    0.22407594323158264,
    0.20072627067565918,
    0.19724120199680328,
    0.2180279791355133,
    0.2675216794013977,
    0.3391115963459015,
    0.3941778987646103,
    0.42414867877960205,
    0.47260046005249023,
    0.5187710672616959,
    0.5286232382059097,
    0.48106855154037476,
    0.462909996509552,
    0.42851731181144714,
    0.39183636009693146,
    0.3430427312850952,
    0.2966166138648987,
    0.2728693187236786,
    0.2880357503890991,
    0.3171982914209366,
    0.34937115013599396,
    0.38816533982753754,
    0.3901512175798416,
    0.43243955075740814,
    0.4792513996362686,
    0.5281587094068527,
    0.5110074579715729,
    0.5188405215740204,
    0.5366930812597275,
    0.5322196185588837,
    0.4856834262609482,
    0.4334898740053177,
    0.3834639638662338,
    0.33673955500125885,
    0.31712931394577026,
    0.30660480260849,
    0.29350167512893677,
    0.2948026955127716,
    0.30476973950862885,
    0.3394621014595032,
    0.4029897302389145,
    0.4831084907054901,
    0.533072754740715,
    0.5837920606136322,
    0.5884110778570175,
    0.5504338294267654,
    0.5134545564651489,
    0.5194106698036194,
    0.5068761706352234,
    0.4605899155139923,
    0.4303511083126068,
    0.3859414607286453,
    0.3275362402200699,
    0.30828890204429626,
    0.3268897831439972,
    0.35111303627491,
    0.4012131690979004,
    0.4597179442644119,
    0.5361429899930954,
    0.6387114375829697,
    0.6936079114675522,
    0.6917726248502731,
    0.6680797040462494,
    0.6421717256307602,
    0.6088777333498001,
    0.5540946424007416,
    0.49188555777072906,
    0.38834013044834137,
    0.33671796321868896,
    0.28073862195014954,
    0.240913525223732,
    0.21567805111408234,
    0.2105312943458557,
    0.2337532490491867,
    0.2785900682210922,
    0.28571297228336334,
    0.31166838109493256,
    0.36821459233760834,
    0.42525579035282135,
    0.48089782893657684,
    0.49820326268672943,
    0.49374450743198395,
    0.4425787627696991,
    0.4389325678348541,
    0.3939746916294098,
    0.3175627291202545,
    0.2314276099205017,
    0.16862668097019196,
    0.14804485440254211,
    0.18628060817718506,
    0.287749245762825,
    0.41451816260814667,
    0.5618095099925995,
    0.6902901977300644,
    0.7840718775987625,
    0.8026812821626663,
    0.7741347700357437,
    0.74325031042099,
    0.6865305453538895,
    0.6316478252410889,
    0.5435187369585037,
    0.45598436892032623,
    0.405985489487648,
    0.3767358809709549,
    0.3736795634031296,
    0.35055065155029297,
    0.3049437701702118,
    0.2798196077346802,
    0.2483603060245514,
    0.24064967036247253,
    0.2506808191537857,
    0.3055518716573715,
    0.3437485098838806,
    0.3454875499010086,
    0.35833118855953217,
    0.4039312154054642,
    0.46097156405448914,
    0.5216101258993149,
    0.5394511371850967,
    0.5141493082046509,
    0.47876879572868347,
    0.41123268008232117,
    0.3165886849164963,
    0.22495326399803162,
    0.14283369481563568,
    0.10742132365703583,
    0.1113644689321518,
    0.1527138352394104,
    0.242933988571167,
    0.3372110277414322,
    0.4413013607263565,
    0.51781365275383,
    0.5305719077587128,
    0.5385929942131042,
    0.5053745806217194,
    0.47380706667900085,
    0.4694361388683319,
    0.46252135932445526,
    0.4210800230503082,
    0.3816753327846527,
    0.28431840240955353,
    0.20501871407032013,
    0.14179092645645142,
    0.12044146656990051,
    0.1527317613363266,
    0.2215030938386917,
    0.32665133476257324,
    0.39093099534511566,
    0.41255517303943634,
    0.43949607014656067,
    0.45927804708480835,
    0.4942306876182556,
    0.5180871933698654,
    0.5018600523471832,
    0.49358293414115906,
    0.5031397491693497,
    0.4970628321170807,
    0.4817674160003662,
    0.4851788878440857,
    0.4774017930030823,
    0.44674840569496155,
    0.4085351973772049,
    0.36318038403987885,
    0.3408306986093521,
    0.34720149636268616,
    0.3659016489982605,
    0.4035300314426422,
    0.4951786398887634,
    0.6243374049663544,
    0.7050536721944809,
    0.72911736369133,
    0.7233524322509766,
    0.7142128497362137,
    0.6670155823230743,
    0.5496556013822556,
    0.4712676703929901,
    0.4114561975002289,
    0.37396857142448425,
    0.3313412666320801,
    0.34019598364830017,
    0.37572070956230164,
    0.4010179936885834,
    0.4537666141986847,
    0.5183597803115845,
    0.5889125615358353,
    0.6584374904632568,
    0.7056461274623871,
    0.6917813271284103,
    0.5985265225172043,
    0.47658294439315796,
    0.3720277100801468,
    0.2767874300479889,
    0.22609323263168335,
    0.22032269835472107,
    0.2575850188732147,
    0.3388909101486206,
    0.4474581331014633,
    0.5280566960573196,
    0.5992575585842133,
    0.6183167397975922,
    0.5624685287475586,
    0.4882744699716568,
    0.45376455783843994,
    0.4160187840461731,
    0.3950074315071106,
    0.40186819434165955,
    0.42560073733329773,
    0.44575539231300354,
    0.4980613589286804,
    0.5109732002019882,
    0.45750923454761505,
    0.3910229504108429,
    0.309807687997818,
    0.25960204005241394,
    0.2390051633119583,
    0.25432124733924866,
    0.2934674173593521,
    0.340133473277092,
    0.38367123901844025,
    0.3935658186674118,
    0.4059140831232071,
    0.40516039729118347,
    0.3666473478078842,
    0.3398469537496567,
    0.33066797256469727,
    0.3163215070962906,
    0.28553877770900726,
    0.2750651240348816,
    0.24865998327732086,
    0.20822589099407196,
    0.16671547293663025,
    0.16243323683738708,
    0.20048463344573975,
    0.2563689798116684,
    0.33969569206237793,
    0.4434100389480591,
    0.5115582197904587,
    0.5082885175943375,
    0.45357710123062134,
    0.41414931416511536,
    0.3659386783838272,
    0.3003884106874466,
    0.23028859496116638,
    0.1940709799528122,
    0.16526004672050476,
    0.14370499551296234,
    0.15272219479084015,
    0.1950685679912567,
    0.2611624598503113,
    0.30894388258457184,
    0.35354313254356384,
    0.4287479966878891,
    0.48725204169750214,
    0.547818198800087,
    0.5802349299192429,
    0.5599042922258377,
    0.48159873485565186,
    0.3840761184692383,
    0.359156534075737,
    0.38586190342903137,
    0.39737309515476227,
    0.3641299903392792,
    0.31735798716545105,
    0.2963327169418335,
    0.2808977961540222,
    0.2499403953552246,
    0.2714991122484207,
    0.31061549484729767,
    0.36100609600543976,
    0.4045462906360626,
    0.4795568883419037,
    0.5410219430923462,
    0.5249743163585663,
    0.5064752995967865,
    0.5040640980005264,
    0.4944269210100174,
    0.4318201243877411,
    0.38807399570941925,
    0.35869200527668,
    0.29511114954948425,
    0.2513382136821747,
    0.22923162579536438,
    0.26193535327911377,
    0.3317437022924423,
    0.3779435008764267,
    0.444790244102478,
    0.4925069510936737,
    0.5452232211828232,
    0.5643788427114487,
    0.5830236971378326,
    0.5755374133586884,
    0.5274612456560135,
    0.46058954298496246,
    0.4073774367570877,
    0.336037814617157,
    0.2534060627222061,
    0.22015729546546936,
    0.24525140225887299,
    0.2995826005935669,
    0.3641093373298645,
    0.45445969700813293,
    0.5022348016500473,
    0.510280966758728,
    0.5108973681926727,
    0.5142061114311218,
    0.4911174923181534,
    0.4536833167076111,
    0.4395567327737808,
    0.42270463705062866,
    0.4384104311466217,
    0.4912906885147095,
    0.5368166863918304,
    0.5669191777706146,
    0.6214825510978699,
    0.6334549635648727,
    0.562792181968689,
    0.48670385777950287,
    0.38376131653785706,
    0.2962486445903778,
    0.22737008333206177,
    0.19244857132434845,
    0.1649932563304901,
    0.16710029542446136,
    0.18961778283119202,
    0.23200249671936035,
    0.2497154176235199,
    0.27010318636894226,
    0.2645014822483063,
    0.2298484742641449,
    0.17695122957229614,
    0.17693065106868744,
    0.17785002291202545,
    0.15828904509544373,
    0.12822985649108887,
    0.12160532176494598,
    0.1683209389448166,
    0.25530849397182465,
    0.36019524931907654,
    0.4539848417043686,
    0.5197834521532059,
    0.5459615737199783,
    0.5117644220590591,
    0.488371878862381,
    0.4318682849407196,
    0.42446599900722504,
    0.4221830666065216,
    0.4204113930463791,
    0.42102867364883423,
    0.42320211231708527,
    0.38750021159648895,
    0.35598570108413696,
    0.3049243539571762,
    0.24567125737667084,
    0.1981433480978012,
    0.18990372121334076,
    0.2133301943540573,
    0.27246691286563873,
    0.39426691830158234,
    0.5104220360517502,
    0.6117359399795532,
    0.6881426125764847,
    0.6938953548669815,
    0.6193177402019501,
    0.5339552015066147,
    0.5101931989192963,
    0.47860604524612427,
    0.4211628884077072,
    0.374879390001297,
    0.32697243988513947,
    0.2845282703638077,
    0.2641734778881073,
    0.2657937705516815,
    0.2568705826997757,
    0.2615128308534622,
    0.2806306481361389,
    0.30944979190826416,
    0.3455989509820938,
    0.37024904787540436,
    0.3821927458047867,
    0.38061854243278503,
    0.350621834397316,
    0.3370606005191803,
    0.3176162391901016,
    0.3149126321077347,
    0.3126414269208908,
    0.3380202054977417,
    0.3966875970363617,
    0.4729759842157364,
    0.5359248071908951,
    0.5900905430316925,
    0.6059126108884811,
    0.6005913019180298,
    0.5778119117021561,
    0.549859344959259,
    0.43554292619228363,
    0.336562380194664,
    0.26748931407928467,
    0.21283236145973206,
    0.17336556315422058,
    0.19439686834812164,
    0.27068327367305756,
    0.38862480223178864,
    0.51177117228508,
    0.6244369298219681,
    0.7381008267402649,
    0.7545311152935028,
    0.7269477844238281,
    0.6669350862503052,
    0.5799461752176285,
    0.4687868356704712,
    0.4245457798242569,
    0.3910665065050125,
    0.39125749468803406,
    0.4031548351049423,
    0.43967030942440033,
    0.4718659669160843,
    0.49929244816303253,
    0.5050277858972549,
    0.47773244976997375,
    0.42618313431739807,
    0.4298245757818222,
    0.4486151933670044,
    0.4873931407928467,
    0.4705056995153427,
    0.470446839928627,
    0.460637167096138,
    0.44831232726573944,
    0.4167758822441101,
    0.38409923017024994,
    0.3784542977809906,
    0.38348041474819183,
    0.35686491429805756,
    0.2915429025888443,
    0.2442265748977661,
    0.2318870723247528,
    0.21120454370975494,
    0.222621887922287,
    0.26469701528549194,
    0.33171309530735016,
    0.4115009158849716,
    0.5043159425258636,
    0.5977902412414551,
    0.5930476486682892,
    0.5803362429141998,
    0.5646026730537415,
    0.5603294670581818,
    0.51957206428051,
    0.48036491870880127,
    0.4500492364168167,
    0.41129034757614136,
    0.3233770281076431,
    0.24195979535579681,
    0.20696969330310822,
    0.2062821239233017,
    0.23100735247135162,
    0.275673046708107,
    0.3574817329645157,
    0.4497320353984833,
    0.5237763375043869,
    0.5774009525775909,
    0.5653623789548874,
    0.4975644648075104,
    0.4057430773973465,
    0.3786925673484802,
    0.3860030025243759,
    0.3424125462770462,
    0.29615461826324463,
    0.262850821018219,
    0.20621924102306366,
    0.15388956665992737,
    0.12821662425994873,
    0.1553618311882019,
    0.18984270095825195,
    0.24703966081142426,
    0.3337617814540863,
    0.43774835765361786,
    0.556122824549675,
    0.6196915954351425,
    0.6240389496088028,
    0.5926825851202011,
    0.5409554690122604,
    0.48279115557670593,
    0.3957134932279587,
    0.3280850797891617,
    0.275117963552475,
    0.25444290041923523,
    0.25359994173049927,
    0.29794347286224365,
    0.3591504991054535,
    0.4507550597190857,
    0.5300772786140442,
    0.5543670952320099,
    0.5675711929798126,
    0.5793313384056091,
    0.5730605125427246,
    0.5920294970273972,
    0.5853058993816376,
    0.5140099823474884,
    0.4273032546043396,
    0.3417966961860657,
    0.2942934185266495,
    0.28461097180843353,
    0.3191576600074768,
    0.39919134974479675,
    0.46786266565322876,
    0.5243305414915085,
    0.5519063472747803,
    0.5790043622255325,
    0.5915797799825668,
    0.5500651448965073,
    0.5249671041965485,
    0.49869661033153534,
    0.5075890868902206,
    0.5353011190891266,
    0.5948898047208786,
    0.679632768034935,
    0.6876746267080307,
    0.5742747932672501,
    0.46947982907295227,
    0.34135788679122925,
    0.2468746304512024,
    0.21784311532974243,
    0.2075430452823639,
    0.20100834965705872,
    0.1885787844657898,
    0.2314801663160324,
    0.26529549062252045,
    0.3205905109643936,
    0.4181724190711975,
    0.5084916800260544,
    0.6048050820827484,
    0.6582493931055069,
    0.6167908161878586,
    0.5662872195243835,
    0.48389607667922974,
    0.3979395776987076,
    0.3124892860651016,
    0.22227288782596588,
    0.1594589352607727,
    0.1345233917236328,
    0.15458956360816956,
    0.21493928134441376,
    0.31215643882751465,
    0.40681253373622894,
    0.4870693236589432,
    0.5363400727510452,
    0.5380696356296539,
    0.5413298606872559,
    0.5113717168569565,
    0.4919276088476181,
    0.4916315972805023,
    0.4664147049188614,
    0.42899708449840546,
    0.3808397948741913,
    0.34366293251514435,
    0.2950245589017868,
    0.25857600569725037,
    0.24305032193660736,
    0.24315258860588074,
    0.2702186703681946,
    0.3285369724035263,
    0.3938525766134262,
    0.49050992727279663,
    0.5668509155511856,
    0.6224075555801392,
    0.6465646624565125,
    0.6081305146217346,
    0.5274003595113754,
    0.46283377707004547,
    0.449985146522522,
    0.44550734758377075,
    0.43543240427970886,
    0.38384658098220825,
    0.36694642901420593,
    0.3391575217247009,
    0.3181794285774231,
    0.27300095558166504,
    0.25774040818214417,
    0.25655926764011383,
    0.29233507812023163,
    0.3520093262195587,
    0.451872318983078,
    0.560893252491951,
    0.5988018959760666,
    0.5781102180480957,
    0.5577473193407059,
    0.5303938388824463,
    0.4551396667957306,
    0.36778824031352997,
    0.28243185579776764,
    0.235642671585083,
    0.20557457208633423,
    0.21743503212928772,
    0.2750641256570816,
    0.33422960340976715,
    0.40249279141426086,
    0.48691295087337494,
    0.5249010771512985,
    0.5695414692163467,
    0.5422300547361374,
    0.5162407457828522,
    0.46186912059783936,
    0.41093844175338745,
    0.3661649376153946,
    0.33530867099761963,
    0.324251726269722,
    0.29741236567497253,
    0.28592394292354584,
    0.275771826505661,
    0.28371360898017883,
    0.3167516589164734,
    0.3717643916606903,
    0.43852758407592773,
    0.47577014565467834,
    0.5235691070556641,
    0.510380357503891,
    0.4133457541465759,
    0.3315461277961731,
    0.26156283915042877,
    0.23180538415908813,
    0.24079973995685577,
    0.2736997455358505,
    0.2969912439584732,
    0.32218408584594727,
    0.3731382340192795,
    0.3936021029949188,
    0.4009399265050888,
    0.42541706562042236,
    0.43566974997520447,
    0.45380887389183044,
    0.5037498325109482,
    0.5535940229892731,
    0.5924361497163773,
    0.6067594140768051,
    0.6111373603343964,
    0.5672848224639893,
    0.5122808068990707,
    0.4556785821914673,
    0.40010373294353485,
    0.3372659534215927,
    0.26262137293815613,
    0.22416049242019653,
    0.17475372552871704,
    0.18058474361896515,
    0.2209681123495102,
    0.2883828580379486,
    0.3279306888580322,
    0.3619616627693176,
    0.43359385430812836,
    0.45311085879802704,
    0.42285995185375214,
    0.3903365135192871,
    0.3794933259487152,
    0.3647660166025162,
    0.3580804765224457,
    0.32788874208927155,
    0.3208734393119812,
    0.32065320014953613,
    0.2732415795326233,
    0.22429344058036804,
    0.20001983642578125,
    0.22747135162353516,
    0.29010312259197235,
    0.39623861014842987,
    0.520741805434227,
    0.611844077706337,
    0.6427806466817856,
    0.6565405577421188,
    0.6210831999778748,
    0.5827316045761108,
    0.5736736357212067,
    0.5615451782941818,
    0.525382399559021,
    0.45076797902584076,
    0.36863620579242706,
    0.3027788996696472,
    0.2965414524078369,
    0.29936233162879944,
    0.2722133696079254,
    0.24632374942302704,
    0.24637870490550995,
    0.2888668030500412,
    0.3767436742782593,
    0.4780943840742111,
    0.6050313115119934,
    0.6810120940208435,
    0.6629710495471954,
    0.5497154146432877,
    0.4484183043241501,
    0.4055282175540924,
    0.38908661901950836,
    0.37485989928245544,
    0.3419542610645294,
    0.33478160202503204,
    0.33731210231781006,
    0.3467972129583359,
    0.3607771545648575,
    0.3762940764427185,
    0.3980872333049774,
    0.41908156871795654,
    0.44835488498210907,
    0.524028018116951,
    0.5850268751382828,
    0.5606599301099777,
    0.4807860404253006,
    0.41046327352523804,
    0.3316855877637863,
    0.2787024676799774,
    0.23972733318805695,
    0.22123955190181732,
    0.20752623677253723,
    0.19882193207740784,
    0.2225557565689087,
    0.294467955827713,
    0.40263424813747406,
    0.5134357661008835,
    0.630232572555542,
    0.7096445858478546,
    0.7357272505760193,
    0.7238386422395706,
    0.6663869023323059,
    0.6163588315248489,
    0.5307445973157883,
    0.4414375126361847,
    0.37107934057712555,
    0.2998608499765396,
    0.2556350529193878,
    0.28874485194683075,
    0.3600039482116699,
    0.448324054479599,
    0.5375997722148895,
    0.6380741447210312,
    0.6749847680330276,
    0.6874841451644897,
    0.610516682267189,
    0.5426657795906067,
    0.43958841264247894,
    0.3710514008998871,
    0.305280476808548,
    0.29628604650497437,
    0.34662841260433197,
    0.4064669758081436,
    0.4545293003320694,
    0.48211437463760376,
    0.4877339005470276,
    0.42406192421913147,
    0.3783116042613983,
    0.2871173471212387,
    0.23492039740085602,
    0.1929132342338562,
    0.21371015906333923,
    0.25718457996845245,
    0.31685222685337067,
    0.3755934238433838,
    0.41680313646793365,
    0.4310763329267502,
    0.4154219776391983,
    0.4135536402463913,
    0.3996124863624573,
    0.39606188237667084,
    0.3529291898012161,
    0.2789672464132309,
    0.2152600735425949,
    0.1676803082227707,
    0.15550842881202698,
    0.15661418437957764,
    0.22920992970466614,
    0.33727432787418365,
    0.44533170759677887,
    0.5033077150583267,
    0.49896037578582764,
    0.4846823066473007,
    0.45007865130901337,
    0.42685215175151825,
    0.3777809739112854,
    0.35148143768310547,
    0.354536697268486,
    0.3616394102573395,
    0.3653256297111511,
    0.35323677957057953,
    0.3687845319509506,
    0.35800036787986755,
    0.33123183250427246,
    0.293018639087677,
    0.2840736210346222,
    0.31532298028469086,
    0.39410753548145294,
    0.47894732654094696,
    0.5556573569774628,
    0.6023318618535995,
    0.5841498672962189,
    0.511048823595047,
    0.4442649334669113,
    0.4185650497674942,
    0.3918602466583252,
    0.35108712315559387,
    0.3458441495895386,
    0.38025346398353577,
    0.3720903694629669,
    0.35975295305252075,
    0.33999715745449066,
    0.35204486548900604,
    0.3593692481517792,
    0.38034215569496155,
    0.4328863173723221,
    0.5159686058759689,
    0.6089655607938766,
    0.6598299741744995,
    0.6532908529043198,
    0.6203046590089798,
    0.5680812448263168,
    0.49878931045532227,
    0.39945195615291595,
    0.308867946267128,
    0.24581706523895264,
    0.22207295894622803,
    0.22774958610534668,
    0.23499369621276855,
    0.29448628425598145,
    0.35967113077640533,
    0.4205514043569565,
    0.44055528938770294,
    0.4801991581916809,
    0.45320190489292145,
    0.40627241134643555,
    0.39259879291057587,
    0.336300864815712,
    0.28376054763793945,
    0.26251445710659027,
    0.24441030621528625,
    0.2310303896665573,
    0.23417693376541138,
    0.25713643431663513,
    0.29340362548828125,
    0.34603579342365265,
    0.4471493363380432,
    0.5642345100641251,
    0.6542728096246719,
    0.703140527009964,
    0.6815068423748016,
    0.6133048683404922,
    0.5504932999610901,
    0.445389986038208,
    0.3392535597085953,
    0.26687078177928925,
    0.24162821471691132,
    0.2591983526945114,
    0.2973567247390747,
    0.37986043095588684,
    0.4691524803638458,
    0.5244523286819458,
    0.5237221717834473,
    0.5129522532224655,
    0.4418628364801407,
    0.3918667584657669,
    0.3576454669237137,
    0.34022438526153564,
    0.34211471676826477,
    0.3450775444507599,
    0.35255753993988037,
    0.37416398525238037,
    0.4357230067253113,
    0.49089181423187256,
    0.4884755611419678,
    0.47230006754398346,
    0.43950748443603516,
    0.3772861063480377,
    0.32038848102092743,
    0.25283095240592957,
    0.1738690733909607,
    0.14686885476112366,
    0.13588766753673553,
    0.15340302884578705,
    0.18415117263793945,
    0.23768474161624908,
    0.3204154968261719,
    0.407584473490715,
    0.48035241663455963,
    0.5120586007833481,
    0.5146449655294418,
    0.5315814912319183,
    0.4945203363895416,
    0.4226744472980499,
    0.3844791054725647,
    0.35776934027671814,
    0.33066533505916595,
    0.2642851173877716,
    0.22653421759605408,
    0.19545161724090576,
    0.19887571036815643,
    0.2508314251899719,
    0.33395078778266907,
    0.4132378250360489,
    0.4560922384262085,
    0.4831564873456955,
    0.49266862869262695,
    0.46529729664325714,
    0.4342089295387268,
    0.38206416368484497,
    0.30748480558395386,
    0.2647242397069931,
    0.2751545161008835,
    0.3002612292766571,
    0.2949376404285431,
    0.31861458718776703,
    0.3462289124727249,
    0.3622404783964157,
    0.33973759412765503,
    0.3263734430074692,
    0.3325537294149399,
    0.3428761214017868,
    0.35630178451538086,
    0.4139283448457718,
    0.4866868704557419,
    0.5302001386880875,
    0.5537876635789871,
    0.5276419073343277,
    0.5101559907197952,
    0.48927535116672516,
    0.45869180560112,
    0.43191881477832794,
    0.3988300859928131,
    0.37859950959682465,
    0.34865134954452515,
    0.35680341720581055,
    0.3868320435285568,
    0.4382805973291397,
    0.4996165633201599,
    0.55057692527771,
    0.5780909359455109,
    0.5450603663921356,
    0.5095392465591431,
    0.4658811539411545,
    0.3922610878944397,
    0.3078768253326416,
    0.2504265159368515,
    0.20163604617118835,
    0.1803988516330719,
    0.21081265807151794,
    0.26802858710289,
    0.35117337107658386,
    0.426433265209198,
    0.5021543800830841,
    0.5064870119094849,
    0.47132082283496857,
    0.40201663970947266,
    0.4213748872280121,
    0.4083310216665268,
    0.4027562439441681,
    0.416604682803154,
    0.42043131589889526,
    0.41870564222335815,
    0.41460226476192474,
    0.3841359168291092,
    0.31522053480148315,
    0.2684481143951416,
    0.20597444474697113,
    0.17949499189853668,
    0.2006206065416336,
    0.26294876635074615,
    0.31297387182712555,
    0.4059249758720398,
    0.495143786072731,
    0.5667930245399475,
    0.6114507168531418,
    0.6389414519071579,
    0.6573431640863419,
    0.6474040895700455,
    0.578730508685112,
    0.5382295995950699,
    0.49996666610240936,
    0.522981584072113,
    0.5449985861778259,
    0.5798915028572083,
    0.5826061218976974,
    0.5787499994039536,
    0.5216582417488098,
    0.4841042011976242,
    0.4509170949459076,
    0.4143061488866806,
    0.373462438583374,
    0.38064536452293396,
    0.38709814846515656,
    0.35550621151924133,
    0.3500214070081711,
    0.3401762992143631,
    0.30852721631526947,
    0.25166770815849304,
    0.19410982728004456,
    0.16241726279258728,
    0.19802317023277283,
    0.26524554193019867,
    0.3593493849039078,
    0.4568648785352707,
    0.5201182216405869,
    0.6118419021368027,
    0.6747971326112747,
    0.7029858827590942,
    0.7121998369693756,
    0.7093594968318939,
    0.6651914715766907,
    0.6139762550592422,
    0.5643057376146317,
    0.5167746543884277,
    0.4493177682161331,
    0.3840469717979431,
    0.3563261032104492,
    0.3379869759082794,
    0.32781223952770233,
    0.3136165291070938,
    0.2912120074033737,
    0.2746116667985916,
    0.26889434456825256,
    0.272101491689682,
    0.2904822826385498,
    0.298627108335495,
    0.31274375319480896,
    0.3346766531467438,
    0.3293914496898651,
    0.31335265934467316,
    0.3269086927175522,
    0.304575651884079,
    0.26795923709869385,
    0.2144315391778946,
    0.18584582209587097,
    0.1785258799791336,
    0.1737518161535263,
    0.18099431693553925,
    0.22997504472732544,
    0.26887497305870056,
    0.306462362408638,
    0.32283465564250946,
    0.34160976111888885,
    0.30504609644412994,
    0.2159193605184555,
    0.13407228887081146,
    0.05126495659351349,
    -0.003703787922859192,
    -0.01644362509250641,
    0.00984393060207367,
    0.059322044253349304,
    0.10567723214626312,
    0.10914629697799683,
    0.13076384365558624,
    0.16511058807373047,
    0.1624220758676529,
    0.1558295041322708,
    0.16816839575767517,
    0.18628022074699402,
    0.19763650000095367,
    0.23580467700958252,
    0.27979329228401184,
    0.335621178150177,
    0.35456326603889465,
    0.3687443137168884,
    0.3590238690376282,
    0.3653615415096283,
    0.4044725149869919,
    0.4635392129421234,
    0.5270621478557587,
    0.5474095940589905,
    0.5512194335460663,
    0.5388244837522507,
    0.5186669379472733,
    0.4643615037202835,
    0.4282848984003067,
    0.41382014751434326,
    0.37918002903461456,
    0.3823999613523483,
    0.41638506948947906,
    0.42283524572849274,
    0.4070691615343094,
    0.3949206620454788,
    0.3916271924972534,
    0.3851224482059479,
    0.3936891257762909,
    0.4479948580265045,
    0.5181354433298111,
    0.5666426867246628,
    0.643427163362503,
    0.7242855876684189,
    0.7696160078048706,
    0.8266473412513733,
    0.8718119263648987,
    0.8447174727916718,
    0.7915382385253906,
    0.7164667397737503,
    0.6303355246782303,
    0.5373637974262238,
    0.45907720923423767,
    0.3973105251789093,
    0.35278087854385376,
    0.32673974335193634,
    0.3617781549692154,
    0.4116803705692291,
    0.45305585861206055,
    0.495835617184639,
    0.5642121434211731,
    0.6466770172119141,
    0.6803338676691055,
    0.6948423832654953,
    0.687424972653389,
    0.690898597240448,
    0.7295853048563004,
    0.713497132062912,
    0.6685115694999695,
    0.6305505931377411,
    0.6197270900011063,
    0.5972954034805298,
    0.61844402551651,
    0.6232889592647552,
    0.6318437457084656,
    0.642335444688797,
    0.6338168233633041,
    0.6155625581741333,
    0.596303328871727,
    0.6089933961629868,
    0.5995744913816452,
    0.5932363569736481,
    0.5974405258893967,
    0.5748652219772339,
    0.5755330920219421,
    0.5295276194810867,
    0.4931800365447998,
    0.42437782883644104,
    0.39451077580451965,
    0.39342862367630005,
    0.39886119961738586,
    0.404641717672348,
    0.4217190444469452,
    0.38376013934612274,
    0.32824642956256866,
    0.28683388233184814,
    0.27654099464416504,
    0.30658847093582153,
    0.3471512794494629,
    0.3806571364402771,
    0.4104735255241394,
    0.40741364657878876,
    0.39172905683517456,
    0.3722362369298935,
    0.35734716057777405,
    0.3226555734872818,
    0.30928273499011993,
    0.29364681243896484,
    0.2984546422958374,
    0.30786609649658203,
    0.330993190407753,
    0.3620219975709915,
    0.42058566212654114,
    0.4943215548992157,
    0.5781981199979782,
    0.6269565671682358,
    0.6455381214618683,
    0.6435113847255707,
    0.5896102786064148,
    0.504113107919693,
    0.43924500048160553,
    0.37336693704128265,
    0.37637361884117126,
    0.4381258338689804,
    0.4977492690086365,
    0.5384711623191833,
    0.5598156154155731,
    0.5848082005977631,
    0.5804900527000427,
    0.5701625347137451,
    0.5795288234949112,
    0.6003732085227966,
    0.6120119392871857,
    0.6143060773611069,
    0.6076361238956451,
    0.6024561077356339,
    0.593619167804718,
    0.5527318120002747,
    0.5204173922538757,
    0.4612720012664795,
    0.3884192854166031,
    0.3340523988008499,
    0.30539460480213165,
    0.308380663394928,
    0.3219147175550461,
    0.3266166001558304,
    0.3174847811460495,
    0.303410604596138,
    0.33178548514842987,
    0.36164648830890656,
    0.38825757801532745,
    0.4272114485502243,
    0.45656484365463257,
    0.5076455175876617,
    0.49144013226032257,
    0.4673653841018677,
    0.440636083483696,
    0.39524397253990173,
    0.38625019788742065,
    0.42365550994873047,
    0.48955732583999634,
    0.5682777315378189,
    0.601447194814682,
    0.5700632631778717,
    0.5070655047893524,
    0.46247637271881104,
    0.41792386770248413,
    0.3388995826244354,
    0.27950577437877655,
    0.266735702753067,
    0.2915230691432953,
    0.33836542069911957,
    0.40259456634521484,
    0.46579620242118835,
    0.5293067842721939,
    0.5292857587337494,
    0.5713552832603455,
    0.5703084468841553,
    0.5673936307430267,
    0.5996910184621811,
    0.5950281620025635,
    0.6136798858642578,
    0.5903674811124802,
    0.5868761390447617,
    0.5529197305440903,
    0.49575620889663696,
    0.4821038246154785,
    0.4883739948272705,
    0.5488956868648529,
    0.6135601252317429,
    0.5885018557310104,
    0.527893915772438,
    0.46258069574832916,
    0.4259822368621826,
    0.3631184548139572,
    0.32215337455272675,
    0.29395797848701477,
    0.3122582882642746,
    0.2963119447231293,
    0.26432932913303375,
    0.2325192540884018,
    0.22004510462284088,
    0.23276853561401367,
    0.25033900141716003,
    0.25868166983127594,
    0.2982040196657181,
    0.31645093858242035,
    0.3605364263057709,
    0.38544850051403046,
    0.4085997939109802,
    0.3969332277774811,
    0.41565725207328796,
    0.4203231781721115,
    0.3914365917444229,
    0.3445262759923935,
    0.30233851075172424,
    0.2747020870447159,
    0.2826879918575287,
    0.29910555481910706,
    0.30826935172080994,
    0.3586037755012512,
    0.38192351162433624,
    0.3641645014286041,
    0.40435387194156647,
    0.4413783848285675,
    0.4214365482330322,
    0.40563857555389404,
    0.4035717844963074,
    0.4027585834264755,
    0.38779471814632416,
    0.34787334501743317,
    0.2824328690767288,
    0.21783311665058136,
    0.16868120431900024,
    0.19979184865951538,
    0.21523812413215637,
    0.26421596109867096,
    0.3362322896718979,
    0.39807191491127014,
    0.4403110146522522,
    0.49039915204048157,
    0.5313741266727448,
    0.5667984038591385,
    0.606111079454422,
    0.6466659605503082,
    0.6251136958599091,
    0.6381189674139023,
    0.637379378080368,
    0.6190583854913712,
    0.6298047602176666,
    0.648185983300209,
    0.6530755907297134,
    0.5887977480888367,
    0.510346993803978,
    0.46437782049179077,
    0.4132325202226639,
    0.3579677641391754,
    0.3261341452598572,
    0.318107932806015,
    0.3642309010028839,
    0.43425239622592926,
    0.49230316281318665,
    0.5516771823167801,
    0.5955142676830292,
    0.6151650846004486,
    0.5966051816940308,
    0.5815305113792419,
    0.5619271248579025,
    0.5589094758033752,
    0.5650246441364288,
    0.5741535127162933,
    0.5623418986797333,
    0.5321066379547119,
    0.4936520457267761,
    0.41987191140651703,
    0.32708723843097687,
    0.2816595137119293,
    0.27266567945480347,
    0.2778066545724869,
    0.31101788580417633,
    0.3632873147726059,
    0.416150227189064,
    0.4403746426105499,
    0.5023156106472015,
    0.5784585177898407,
    0.6248970627784729,
    0.62986820936203,
    0.6078298985958099,
    0.5621957629919052,
    0.4977578818798065,
    0.4899500459432602,
    0.4693901240825653,
    0.45420339703559875,
    0.45818696916103363,
    0.4562472403049469,
    0.4483742415904999,
    0.4288696050643921,
    0.4012948125600815,
    0.40371255576610565,
    0.42521512508392334,
    0.47278347611427307,
    0.5223597586154938,
    0.5212702453136444,
    0.5196612775325775,
    0.5316306054592133,
    0.547620952129364,
    0.5098338425159454,
    0.48282381892204285,
    0.48017603158950806,
    0.46667908132076263,
    0.4487217664718628,
    0.41590335965156555,
    0.4352361410856247,
    0.47380200028419495,
    0.5038092732429504,
    0.501965805888176,
    0.48260296881198883,
    0.43812939524650574,
    0.45116668939590454,
    0.45944327116012573,
    0.4424240440130234,
    0.42188192903995514,
    0.44687320291996,
    0.43825292587280273,
    0.47072549164295197,
    0.4949455112218857,
    0.5200954228639603,
    0.5053124129772186,
    0.49977676570415497,
    0.4856168329715729,
    0.43602557480335236,
    0.4109591245651245,
    0.38789111375808716,
    0.3794144243001938,
    0.3913188725709915,
    0.4294026046991348,
    0.47881709039211273,
    0.5210277736186981,
    0.5627248585224152,
    0.6217550039291382,
    0.6510258764028549,
    0.6352388262748718,
    0.6496769785881042,
    0.6566979289054871,
    0.6018945127725601,
    0.49232104420661926,
    0.3861083984375,
    0.29457753896713257,
    0.2631409764289856,
    0.2436961978673935
  ],
  "sheet": [
    0.14245286583900452,
    0.16149407625198364,
    0.16734325885772705,
    0.21818572282791138,
    0.2794812321662903,
    0.38039153814315796,
    0.42538630962371826,
    0.4189099669456482,
    0.3720027804374695,
    0.2790822386741638,
    0.20417767763137817,
    0.14270025491714478,
    0.09170940518379211,
    0.08655804395675659,
    0.11431780457496643,
    0.1386885941028595,
    0.14965415000915527,
    0.12243735790252686,
    0.1136593222618103,
    0.16850388050079346,
    0.22868594527244568,
    0.2892618179321289,
    0.28700190782546997,
    0.25776444375514984,
    0.2322377860546112,
    0.24806848168373108,
    0.30800095200538635,
    0.364303857088089,
    0.4150041192770004,
    0.4231868237257004,
    0.37868593633174896,
    0.3152122050523758,
    0.27130334079265594,
    0.2001378983259201,
    0.15615609288215637,
    0.1812223494052887,
    0.2133752405643463,
    0.17911480367183685,
    0.13918368518352509,
    0.14568676054477692,
    0.17520283162593842,
    0.20751851797103882,
    0.17651596665382385,
    0.16539642214775085,
    0.16116365790367126,
    0.18803812563419342,
    0.21915608644485474,
    0.24968400597572327,
    0.2731810510158539,
    0.2715960741043091,
    0.23553845286369324,
    0.1700754165649414,
    0.10759961605072021,
    0.08898910880088806,
    0.1003391444683075,
    0.10336267948150635,
    0.12998409569263458,
    0.22215721011161804,
    0.3322242945432663,
    0.41190697252750397,
    0.4546685516834259,
    0.47505544126033783,
    0.42204536497592926,
    0.37093669176101685,
    0.3174658566713333,
    0.25872479379177094,
    0.24695563316345215,
    0.2157238870859146,
    0.15944987535476685,
    0.10714441537857056,
    0.09540301561355591,
    0.12636159360408783,
    0.16382582485675812,
    0.22826647758483887,
    0.2994541525840759,
    0.37308287620544434,
    0.40877626836299896,
    0.4781004637479782,
    0.4906771034002304,
    0.4385698735713959,
    0.384188175201416,
    0.24956536293029785,
    0.15766660869121552,
    0.10864859819412231,
    0.11012157797813416,
    0.149044468998909,
    0.21657361090183258,
    0.2550063282251358,
    0.31603801250457764,
    0.35909533500671387,
    0.3735680431127548,
    0.389596089720726,
    0.37880170345306396,
    0.30649328231811523,
    0.2468002885580063,
    0.17391489446163177,
    0.1453501135110855,
    0.17097878456115723,
    0.2999805510044098,
    0.3990841805934906,
    0.46483710408210754,
    0.5101497024297714,
    0.5311911553144455,
    0.5442461520433426,
    0.5343465358018875,
    0.5013704895973206,
    0.4345743954181671,
    0.3645640164613724,
    0.2736573815345764,
    0.21810172498226166,
    0.19288107752799988,
    0.20968857407569885,
    0.23535320162773132,
    0.308031290769577,
    0.3681930750608444,
    0.4409949630498886,
    0.4928029179573059,
    0.5265267491340637,
    0.5295611619949341,
    0.4608270674943924,
    0.35140976309776306,
    0.19581378996372223,
    0.08737872540950775,
    0.10413436591625214,
    0.20837071537971497,
    0.3369842618703842,
    0.4512762576341629,
    0.5402303487062454,
    0.6014735996723175,
    0.6222428381443024,
    0.628201887011528,
    0.5680118501186371,
    0.5205087214708328,
    0.42604027688503265,
    0.33283287286758423,
    0.21133475005626678,
    0.12672162055969238,
    0.0964951366186142,
    0.1329520344734192,
    0.19579219818115234,
    0.20906104147434235,
    0.2145417183637619,
    0.209194153547287,
    0.19038359820842743,
    0.1700505018234253,
    0.15198570489883423,
    0.17081017792224884,
    0.19945231080055237,
    0.23622040450572968,
    0.24500203132629395,
    0.3076486736536026,
    0.2996348738670349,
    0.24319060146808624,
    0.20026694238185883,
    0.17819173634052277,
    0.16980205476284027,
    0.1604839563369751,
    0.20162056386470795,
    0.2690499275922775,
    0.2932303845882416,
    0.34205588698387146,
    0.35346807539463043,
    0.35064445436000824,
    0.3019212931394577,
    0.28997695446014404,
    0.24687261879444122,
    0.14589156210422516,
    0.10366438329219818,
    0.05939184129238129,
    0.03258122503757477,
    0.007124796509742737,
    0.06712719798088074,
    0.13295908272266388,
    0.192871555685997,
    0.2348216325044632,
    0.29711830615997314,
    0.3479442000389099,
    0.3775486946105957,
    0.4360917657613754,
    0.4635424315929413,
    0.4420398771762848,
    0.3776813745498657,
    0.284278467297554,
    0.1659037470817566,
    0.07868902385234833,
    0.07866057753562927,
    0.12619346380233765,
    0.21952228248119354,
    0.3213769644498825,
    0.43835313618183136,
    0.5323448181152344,
    0.5660436898469925,
    0.5432212054729462,
    0.48494531214237213,
    0.38103780150413513,
    0.2849654406309128,
    0.17877468466758728,
    0.10515990853309631,
    0.03150603175163269,
    0.04391856491565704,
    0.14031824469566345,
    0.2673214077949524,
    0.3873536139726639,
    0.4520980417728424,
    0.5240669399499893,
    0.5908360481262207,
    0.6461104452610016,
    0.6649093329906464,
    0.6173251122236252,
    0.493012398481369,
    0.38503673672676086,
    0.2739669382572174,
    0.2013535499572754,
    0.13644032180309296,
    0.051671504974365234,
    0.015681177377700806,
    0.019432634115219116,
    0.08960293233394623,
    0.1777166873216629,
    0.2942878305912018,
    0.3551241606473923,
    0.3961431682109833,
    0.423446387052536,
    0.45642101764678955,
    0.4182804077863693,
    0.3726643770933151,
    0.2581055015325546,
    0.12262168526649475,
    0.015097498893737793,
    -0.032997384667396545,
    -0.012249663472175598,
    0.02124980092048645,
    0.07864311337471008,
    0.05997595191001892,
    0.0588325560092926,
    0.09580078721046448,
    0.1255243569612503,
    0.2078668475151062,
    0.2636187821626663,
    0.2875480502843857,
    0.2942300885915756,
    0.3024907410144806,
    0.328492134809494,
    0.35316142439842224,
    0.35507863759994507,
    0.31758569180965424,
    0.24371251463890076,
    0.18982824683189392,
    0.1143939346075058,
    0.09594187140464783,
    0.11555114388465881,
    0.16454395651817322,
    0.19437581300735474,
    0.14401577413082123,
    0.11717288196086884,
    0.0988198071718216,
    0.1025075763463974,
    0.147584930062294,
    0.18297551572322845,
    0.26124589145183563,
    0.36098797619342804,
    0.4129117429256439,
    0.4723281264305115,
    0.4174117147922516,
    0.36299242079257965,
    0.29732340574264526,
    0.24251362681388855,
    0.16439062356948853,
    0.07544708251953125,
    0.052268341183662415,
    0.07388140261173248,
    0.13967657089233398,
    0.24637499451637268,
    0.3698950856924057,
    0.45820657908916473,
    0.5350062400102615,
    0.5469486713409424,
    0.5013337880373001,
    0.39781709015369415,
    0.27974261343479156,
    0.16785089671611786,
    0.06089210510253906,
    0.03485453128814697,
    0.06420750916004181,
    0.1234482079744339,
    0.18533553183078766,
    0.2541744261980057,
    0.3617352247238159,
    0.43063847720623016,
    0.4997815787792206,
    0.5363240987062454,
    0.5351793020963669,
    0.5035822093486786,
    0.47577454149723053,
    0.3946850746870041,
    0.3044382184743881,
    0.24005582928657532,
    0.18130825459957123,
    0.12388120591640472,
    0.057510167360305786,
    0.04206709563732147,
    0.10344932973384857,
    0.18945306539535522,
    0.26050056517124176,
    0.3206741213798523,
    0.36869995296001434,
    0.3503086268901825,
    0.31232862174510956,
    0.2241099327802658,
    0.1884835660457611,
    0.17504890263080597,
    0.228470578789711,
    0.29662373661994934,
    0.31177669763565063,
    0.3311425447463989,
    0.28318531811237335,
    0.2502727657556534,
    0.20938743650913239,
    0.16183848679065704,
    0.10310636460781097,
    0.054394349455833435,
    0.06754198670387268,
    0.08184307813644409,
    0.14891183376312256,
    0.2448708713054657,
    0.3278621584177017,
    0.39164498448371887,
    0.45322610437870026,
    0.4943709820508957,
    0.5327907800674438,
    0.5416329950094223,
    0.49738702178001404,
    0.38962480425834656,
    0.22896993160247803,
    0.09763342142105103,
    -0.003921002149581909,
    -0.03127045929431915,
    0.01508834958076477,
    0.10453855991363525,
    0.1758108288049698,
    0.20101864635944366,
    0.20198094844818115,
    0.20857858657836914,
    0.23280975222587585,
    0.2734370231628418,
    0.3668794184923172,
    0.48091261088848114,
    0.5705495625734329,
    0.6113562732934952,
    0.6608515977859497,
    0.6541074812412262,
    0.5571164488792419,
    0.39982835948467255,
    0.24770928919315338,
    0.1053202897310257,
    -0.00882779061794281,
    -0.0541922003030777,
    -0.06304863095283508,
    0.02397879958152771,
    0.13805583119392395,
    0.2659480422735214,
    0.41580456495285034,
    0.572457805275917,
    0.6649706065654755,
    0.6874710023403168,
    0.648471862077713,
    0.5076595097780228,
    0.3350651413202286,
    0.13575759530067444,
    0.01573251187801361,
    0.0169924795627594,
    0.06407122313976288,
    0.15009504556655884,
    0.21624423563480377,
    0.2664797753095627,
    0.2693668007850647,
    0.25508512556552887,
    0.18873406946659088,
    0.12410852313041687,
    0.04553396999835968,
    -0.009484902024269104,
    0.02812837064266205,
    0.1642710417509079,
    0.3276863396167755,
    0.4714262783527374,
    0.5549058765172958,
    0.5577729493379593,
    0.5671888291835785,
    0.5485382080078125,
    0.4652870446443558,
    0.3447176665067673,
    0.17966091632843018,
    0.006226927042007446,
    -0.07605685293674469,
    -0.05090542137622833,
    0.05135490000247955,
    0.18307308852672577,
    0.32175032794475555,
    0.4554750919342041,
    0.5525542348623276,
    0.5911346822977066,
    0.5780053585767746,
    0.5270179957151413,
    0.4311228096485138,
    0.3139003664255142,
    0.17030587792396545,
    0.08827708661556244,
    0.0539863258600235,
    0.09982077777385712,
    0.21185342967510223,
    0.2992519289255142,
    0.35331614315509796,
    0.40353281795978546,
    0.3838867247104645,
    0.3352063149213791,
    0.2462553083896637,
    0.19388294219970703,
    0.19993412494659424,
    0.25541162490844727,
    0.38359400629997253,
    0.48603783547878265,
    0.5751529633998871,
    0.6397106796503067,
    0.6394170075654984,
    0.6196606904268265,
    0.5541615337133408,
    0.4527145326137543,
    0.3723711371421814,
    0.28295233845710754,
    0.22212809324264526,
    0.15870368480682373,
    0.11215648055076599,
    0.10936129093170166,
    0.09982693195343018,
    0.12255717813968658,
    0.13557055592536926,
    0.18718929588794708,
    0.23179420828819275,
    0.3174067586660385,
    0.40700459480285645,
    0.4797985404729843,
    0.49718673527240753,
    0.4436130076646805,
    0.3448168933391571,
    0.21960234642028809,
    0.09619070589542389,
    0.03712724149227142,
    0.05602441728115082,
    0.07914476096630096,
    0.08277221024036407,
    0.06649522483348846,
    0.03424230217933655,
    0.04787352681159973,
    0.07950444519519806,
    0.14544713497161865,
    0.1981600522994995,
    0.2631698101758957,
    0.3546783924102783,
    0.4282161444425583,
    0.4966978132724762,
    0.5188849121332169,
    0.4833165407180786,
    0.41429029405117035,
    0.3176245540380478,
    0.22692838311195374,
    0.15647582709789276,
    0.11447155475616455,
    0.12359514832496643,
    0.1690235286951065,
    0.23221012949943542,
    0.23851396143436432,
    0.22086693346500397,
    0.2443295270204544,
    0.2532137334346771,
    0.2954103499650955,
    0.2936214357614517,
    0.28625816106796265,
    0.26604972779750824,
    0.20710937678813934,
    0.18259471654891968,
    0.17259939014911652,
    0.16943633556365967,
    0.21224230527877808,
    0.2557915896177292,
    0.26946720480918884,
    0.2970447540283203,
    0.27657561004161835,
    0.23282484710216522,
    0.2295527458190918,
    0.3193582445383072,
    0.4378416985273361,
    0.5927533358335495,
    0.6635684221982956,
    0.6812897622585297,
    0.6286157071590424,
    0.5257774442434311,
    0.4242284744977951,
    0.31003323197364807,
    0.22743192315101624,
    0.12446440756320953,
    0.07823143899440765,
    0.09708330035209656,
    0.16192413866519928,
    0.21008583903312683,
    0.2894664853811264,
    0.4294671416282654,
    0.5740486830472946,
    0.66750068962574,
    0.6768637299537659,
    0.6233159750699997,
    0.5313673913478851,
    0.43748892843723297,
    0.31927379965782166,
    0.19112329185009003,
    0.13660387694835663,
    0.17380429804325104,
    0.26349176466464996,
    0.35039177536964417,
    0.45435912907123566,
    0.5417772680521011,
    0.5722682178020477,
    0.5485630482435226,
    0.5144028067588806,
    0.431695893406868,
    0.3064330816268921,
    0.2173573076725006,
    0.20442725718021393,
    0.33501988649368286,
    0.472954586148262,
    0.5428912192583084,
    0.559999942779541,
    0.4982950687408447,
    0.4395594447851181,
    0.34462985396385193,
    0.28545190393924713,
    0.21347485482692719,
    0.17251241207122803,
    0.1584908813238144,
    0.15240484476089478,
    0.12938567996025085,
    0.13063648343086243,
    0.12562058866024017,
    0.1689130663871765,
    0.23907817900180817,
    0.37175433337688446,
    0.5399651527404785,
    0.679894432425499,
    0.751310795545578,
    0.6773336976766586,
    0.5119112730026245,
    0.29276327788829803,
    0.11212904751300812,
    0.058902621269226074,
    0.10132098197937012,
    0.17791594564914703,
    0.2301483005285263,
    0.21414600312709808,
    0.15030229091644287,
    0.14161452651023865,
    0.13890361785888672,
    0.1828337013721466,
    0.22999322414398193,
    0.3145219683647156,
    0.3762965053319931,
    0.4328642934560776,
    0.4688342660665512,
    0.46219266951084137,
    0.4093216061592102,
    0.3538814038038254,
    0.2839267700910568,
    0.21202625334262848,
    0.13358493149280548,
    0.08774065971374512,
    0.060662418603897095,
    0.11732512712478638,
    0.19204697012901306,
    0.24377289414405823,
    0.31580324470996857,
    0.39932067692279816,
    0.44298499822616577,
    0.46854783594608307,
    0.44559524953365326,
    0.4216638654470444,
    0.3763289898633957,
    0.3336826264858246,
    0.3358759433031082,
    0.2800973802804947,
    0.19450102746486664,
    0.1307211071252823,
    0.09695836901664734,
    0.13118936121463776,
    0.1584486961364746,
    0.23935826122760773,
    0.2963022142648697,
    0.4067452847957611,
    0.5188380926847458,
    0.6110129952430725,
    0.6456891745328903,
    0.6585783809423447,
    0.6339257955551147,
    0.5391829162836075,
    0.4076079875230789,
    0.2842782735824585,
    0.18407589197158813,
    0.0949074923992157,
    0.053364530205726624,
    0.07540394365787506,
    0.13432325422763824,
    0.2033763825893402,
    0.2822262793779373,
    0.41788890957832336,
    0.5047086179256439,
    0.5492919087409973,
    0.5418167263269424,
    0.47642378509044647,
    0.41379809379577637,
    0.335529625415802,
    0.3040710538625717,
    0.2499239146709442,
    0.22312942147254944,
    0.19947494566440582,
    0.1780829280614853,
    0.14728844165802002,
    0.155705526471138,
    0.20556935667991638,
    0.25917911529541016,
    0.3228495568037033,
    0.3692774176597595,
    0.3794039636850357,
    0.4114826023578644,
    0.4045528918504715,
    0.36499208211898804,
    0.28679490089416504,
    0.2137913703918457,
    0.18429413437843323,
    0.22223235666751862,
    0.3075869381427765,
    0.4466797560453415,
    0.5481325387954712,
    0.5887022614479065,
    0.5611841231584549,
    0.5517663061618805,
    0.49783799052238464,
    0.4327799379825592,
    0.34095431864261627,
    0.23079706728458405,
    0.12616810202598572,
    0.1362256556749344,
    0.19411121308803558,
    0.24493972957134247,
    0.2879980802536011,
    0.35002510249614716,
    0.41583041846752167,
    0.5202930569648743,
    0.5990379601716995,
    0.6713168621063232,
    0.6917957216501236,
    0.6397524178028107,
    0.5342686176300049,
    0.37454788386821747,
    0.22315703332424164,
    0.11978191137313843,
    0.10853126645088196,
    0.15752644836902618,
    0.24832653999328613,
    0.3269307017326355,
    0.41772031784057617,
    0.4991876929998398,
    0.6031883656978607,
    0.7091429978609085,
    0.7540863156318665,
    0.7478112429380417,
    0.7281976193189621,
    0.6529204398393631,
    0.530899316072464,
    0.3870672881603241,
    0.24915316700935364,
    0.12332901358604431,
    0.040565088391304016,
    0.037948787212371826,
    0.07298131287097931,
    0.166371688246727,
    0.2049204707145691,
    0.2452857494354248,
    0.32037869095802307,
    0.34040501713752747,
    0.31931543350219727,
    0.24903938174247742,
    0.21679390966892242,
    0.22217977046966553,
    0.22033147513866425,
    0.23545870184898376,
    0.22711457312107086,
    0.19481807947158813,
    0.1195477694272995,
    0.05856892466545105,
    0.01657944917678833,
    -0.0059460848569869995,
    -0.044680267572402954,
    -0.06472137570381165,
    -0.004271402955055237,
    0.16493138670921326,
    0.32618533074855804,
    0.4672611802816391,
    0.5255187004804611,
    0.5235611647367477,
    0.46231624484062195,
    0.36693429946899414,
    0.2600361555814743,
    0.17147354781627655,
    0.07628372311592102,
    -0.036462604999542236,
    -0.13529841601848602,
    -0.10928259789943695,
    -0.026161715388298035,
    0.031824007630348206,
    0.1324128359556198,
    0.23414762318134308,
    0.32975007593631744,
    0.3907784968614578,
    0.45247139036655426,
    0.49303264915943146,
    0.5160491168498993,
    0.47337305545806885,
    0.3530838042497635,
    0.2067195624113083,
    0.10330715775489807,
    0.056858792901039124,
    0.0994684100151062,
    0.176709845662117,
    0.24030868709087372,
    0.31253519654273987,
    0.3945755362510681,
    0.4161696285009384,
    0.35433894395828247,
    0.27239881455898285,
    0.17386087775230408,
    0.10734657943248749,
    0.10101312398910522,
    0.17160260677337646,
    0.24286289513111115,
    0.3514823913574219,
    0.4156764894723892,
    0.39250919222831726,
    0.3792552947998047,
    0.3519822806119919,
    0.2959853708744049,
    0.19344784319400787,
    0.13350236415863037,
    0.09687690436840057,
    0.08648036420345306,
    0.08830051124095917,
    0.15004955232143402,
    0.25951462984085083,
    0.38591134548187256,
    0.500051736831665,
    0.5462256669998169,
    0.5385450422763824,
    0.49167588353157043,
    0.42523832619190216,
    0.330474391579628,
    0.20956078171730042,
    0.10669556260108948,
    0.02915489673614502,
    0.01548844575881958,
    0.06629996001720428,
    0.16101934015750885,
    0.22789575159549713,
    0.26246027648448944,
    0.27069345116615295,
    0.259559229016304,
    0.216563418507576,
    0.19366346299648285,
    0.25438927114009857,
    0.3474895507097244,
    0.42326192557811737,
    0.4791408032178879,
    0.5270205289125443,
    0.5695060044527054,
    0.5770327746868134,
    0.5211309790611267,
    0.39731620252132416,
    0.3246850371360779,
    0.2844719737768173,
    0.3084794282913208,
    0.34177181124687195,
    0.4007234275341034,
    0.42777296900749207,
    0.4143436551094055,
    0.40580806136131287,
    0.40252064168453217,
    0.4152163416147232,
    0.4161157011985779,
    0.4623972624540329,
    0.5035039633512497,
    0.538452222943306,
    0.528551921248436,
    0.5160380154848099,
    0.4834413230419159,
    0.41937462985515594,
    0.3492109924554825,
    0.28613878786563873,
    0.27928246557712555,
    0.27417759597301483,
    0.2917509377002716,
    0.33071163296699524,
    0.35447339713573456,
    0.4228484034538269,
    0.5188432186841965,
    0.632671907544136,
    0.6404217034578323,
    0.6135526895523071,
    0.5083430707454681,
    0.3771025985479355,
    0.2527841329574585,
    0.15148992836475372,
    0.08790367841720581,
    0.0655861645936966,
    0.1327936351299286,
    0.24559937417507172,
    0.3858099430799484,
    0.49476252496242523,
    0.5640836358070374,
    0.6023277342319489,
    0.5773961395025253,
    0.5418773144483566,
    0.4363553673028946,
    0.3227258622646332,
    0.16894328594207764,
    0.07776917517185211,
    0.042831435799598694,
    0.05360350012779236,
    0.10261209309101105,
    0.19089378416538239,
    0.2834310382604599,
    0.36186249554157257,
    0.43540480732917786,
    0.4250972419977188,
    0.36045120656490326,
    0.3107632249593735,
    0.2502308189868927,
    0.18801112473011017,
    0.1703566610813141,
    0.2119550257921219,
    0.2558765560388565,
    0.31243346631526947,
    0.3495093584060669,
    0.3778006136417389,
    0.38240431249141693,
    0.34411871433258057,
    0.262174054980278,
    0.1867806613445282,
    0.13550710678100586,
    0.13660603761672974,
    0.16546081006526947,
    0.18378911912441254,
    0.24863287806510925,
    0.31133291125297546,
    0.33958783745765686,
    0.3555901497602463,
    0.35929563641548157,
    0.4036919176578522,
    0.40795181691646576,
    0.40846769511699677,
    0.3495403379201889,
    0.2605949342250824,
    0.19271838665008545,
    0.1014072597026825,
    0.08794800937175751,
    0.13189950585365295,
    0.1973414421081543,
    0.2383364886045456,
    0.21899621188640594,
    0.1925520896911621,
    0.2429507076740265,
    0.31784121692180634,
    0.3702041506767273,
    0.4179981052875519,
    0.4524116516113281,
    0.4961717426776886,
    0.5423995703458786,
    0.5888640731573105,
    0.5431036651134491,
    0.43924906849861145,
    0.34388482570648193,
    0.25668784976005554,
    0.1812203973531723,
    0.113040491938591,
    0.09317906200885773,
    0.12478917837142944,
    0.18751345574855804,
    0.22397008538246155,
    0.2438438981771469,
    0.24434547126293182,
    0.24866317212581635,
    0.2199891358613968,
    0.15109583735466003,
    0.15839765965938568,
    0.2294677346944809,
    0.3428320735692978,
    0.41155852377414703,
    0.4760759025812149,
    0.44876284897327423,
    0.38093338906764984,
    0.23514693975448608,
    0.09992167353630066,
    0.05910477042198181,
    0.05671870708465576,
    0.1090146154165268,
    0.2016674131155014,
    0.3249485492706299,
    0.45628519356250763,
    0.5352333635091782,
    0.6100558489561081,
    0.604159489274025,
    0.5613873600959778,
    0.4991370588541031,
    0.40802280604839325,
    0.3078824430704117,
    0.21123912930488586,
    0.11910125613212585,
    0.07161635160446167,
    0.10933388769626617,
    0.22032439708709717,
    0.304671972990036,
    0.38539157807826996,
    0.47673965990543365,
    0.5725873857736588,
    0.6361360251903534,
    0.6732693463563919,
    0.666373535990715,
    0.6466708779335022,
    0.5612181425094604,
    0.4288061112165451,
    0.2973781079053879,
    0.19822707772254944,
    0.15322288870811462,
    0.20835071802139282,
    0.34202493727207184,
    0.4566234201192856,
    0.5463923513889313,
    0.5881064832210541,
    0.5542775839567184,
    0.4988221824169159,
    0.4008152633905411,
    0.28573426604270935,
    0.22795160114765167,
    0.29806943237781525,
    0.42112593352794647,
    0.5175547748804092,
    0.5749435275793076,
    0.5877000987529755,
    0.5529132783412933,
    0.5078979134559631,
    0.39122840762138367,
    0.2878941297531128,
    0.1878059357404709,
    0.07600075006484985,
    0.017220228910446167,
    0.045184940099716187,
    0.13974562287330627,
    0.2019468992948532,
    0.273149311542511,
    0.3428628444671631,
    0.3958261162042618,
    0.4655178487300873,
    0.4831869751214981,
    0.4501080811023712,
    0.3485232889652252,
    0.2444305717945099,
    0.09776538610458374,
    -0.04604645073413849,
    -0.08462946116924286,
    -0.048539042472839355,
    0.0646696388721466,
    0.10116289556026459,
    0.12558813393115997,
    0.14119186997413635,
    0.22473227977752686,
    0.29433347284793854,
    0.34473060071468353,
    0.4252733588218689,
    0.49670153856277466,
    0.5427040308713913,
    0.6143715530633926,
    0.6616381406784058,
    0.6662813127040863,
    0.5714476704597473,
    0.4745647609233856,
    0.36367931962013245,
    0.3352966606616974,
    0.34112171828746796,
    0.3304787129163742,
    0.3691951036453247,
    0.4185595214366913,
    0.4639856517314911,
    0.49123673141002655,
    0.4454142898321152,
    0.34616388380527496,
    0.28139258921146393,
    0.28853103518486023,
    0.3226350098848343,
    0.3479369878768921,
    0.38659828901290894,
    0.44433341920375824,
    0.49003440141677856,
    0.5241066962480545,
    0.5132278054952621,
    0.432793453335762,
    0.3253038078546524,
    0.22302530705928802,
    0.1681942343711853,
    0.15704037249088287,
    0.17258265614509583,
    0.2365051507949829,
    0.2844494730234146,
    0.36200693249702454,
    0.46701958775520325,
    0.5518521815538406,
    0.5851905196905136,
    0.5865524560213089,
    0.5325523018836975,
    0.4658021181821823,
    0.35825492441654205,
    0.27463771402835846,
    0.16303077340126038,
    0.06377315521240234,
    -0.011457785964012146,
    0.04786957800388336,
    0.22106486558914185,
    0.39375221729278564,
    0.5210709720849991,
    0.5767271369695663,
    0.5987229645252228,
    0.5735075175762177,
    0.5043520927429199,
    0.3884131461381912,
    0.2515735328197479,
    0.15571218729019165,
    0.1089269369840622,
    0.1030270904302597,
    0.12248626351356506,
    0.16661809384822845,
    0.19409041106700897,
    0.20120210945606232,
    0.21602372825145721,
    0.2362206131219864,
    0.20073790848255157,
    0.15302689373493195,
    0.11598500609397888,
    0.11918187141418457,
    0.2520548403263092,
    0.37348760664463043,
    0.48201365768909454,
    0.5305074155330658,
    0.5211722254753113,
    0.42302563786506653,
    0.32011356949806213,
    0.18192242085933685,
    0.05246905982494354,
    -0.027496665716171265,
    -0.06156352162361145,
    -0.05030260980129242,
    0.011510774493217468,
    0.1219119280576706,
    0.22793443500995636,
    0.30380451679229736,
    0.409647136926651,
    0.4500894248485565,
    0.474610835313797,
    0.4564037472009659,
    0.4326470345258713,
    0.3526017814874649,
    0.29849109053611755,
    0.2137586623430252,
    0.15686529874801636,
    0.1306624561548233,
    0.13478811085224152,
    0.17595551908016205,
    0.18635733425617218,
    0.19195325672626495,
    0.1454998254776001,
    0.12641477584838867,
    0.11014248430728912,
    0.13018673658370972,
    0.16584627330303192,
    0.19065792858600616,
    0.243974506855011,
    0.3511246144771576,
    0.450132817029953,
    0.5432523339986801,
    0.581696480512619,
    0.5622562170028687,
    0.5218760818243027,
    0.433261901140213,
    0.3360728770494461,
    0.2427533119916916,
    0.12633700668811798,
    0.08793532848358154,
    0.12942130863666534,
    0.16976791620254517,
    0.2405250519514084,
    0.25700581073760986,
    0.2366538643836975,
    0.23781278729438782,
    0.22566328942775726,
    0.1992473155260086,
    0.1948317587375641,
    0.20962300896644592,
    0.27406445145606995,
    0.36156319081783295,
    0.4275572896003723,
    0.47909294068813324,
    0.4107883721590042,
    0.3053918331861496,
    0.1828656643629074,
    0.07943524420261383,
    0.06773534417152405,
    0.027932986617088318,
    0.045323386788368225,
    0.07871131598949432,
    0.17034068703651428,
    0.3001018762588501,
    0.4400645047426224,
    0.5391718298196793,
    0.6135923117399216,
    0.6442162096500397,
    0.622558131814003,
    0.535463273525238,
    0.41159671545028687,
    0.2858669310808182,
    0.16821542382240295,
    0.07413479685783386,
    0.03942430019378662,
    0.03631840646266937,
    0.043556228280067444,
    0.06975109875202179,
    0.17323091626167297,
    0.32350851595401764,
    0.41660429537296295,
    0.49238742887973785,
    0.4918592721223831,
    0.4661019742488861,
    0.4170338809490204,
    0.35829614102840424,
    0.3015148490667343,
    0.2069980800151825,
    0.10196126997470856,
    0.028344526886940002,
    -0.022313684225082397,
    0.020932868123054504,
    0.10575222969055176,
    0.19192412495613098,
    0.2727995961904526,
    0.35378584265708923,
    0.38548798859119415,
    0.3744233250617981,
    0.28715650737285614,
    0.20669232308864594,
    0.1541430652141571,
    0.23259834945201874,
    0.3379838168621063,
    0.43909502029418945,
    0.4953552484512329,
    0.494196280837059,
    0.4348631799221039,
    0.4038790911436081,
    0.3264205902814865,
    0.2274179756641388,
    0.1362752467393875,
    0.06194603443145752,
    0.02358037233352661,
    0.040068283677101135,
    0.09601777791976929,
    0.12703187763690948,
    0.21260052919387817,
    0.3151885122060776,
    0.44950099289417267,
    0.5616452395915985,
    0.6061343103647232,
    0.6103963106870651,
    0.5818397104740143,
    0.48270174860954285,
    0.33345040678977966,
    0.22393368184566498,
    0.1647321879863739,
    0.182967871427536,
    0.23079940676689148,
    0.2444247156381607,
    0.23175755143165588,
    0.22023531794548035,
    0.2360229194164276,
    0.2569292336702347,
    0.3081359565258026,
    0.39431022107601166,
    0.48986734449863434,
    0.5787197202444077,
    0.6558089107275009,
    0.7019636929035187,
    0.7058202475309372,
    0.6554953455924988,
    0.538776159286499,
    0.3759777396917343,
    0.2197955697774887,
    0.09917457401752472,
    0.051390811800956726,
    0.0639568567276001,
    0.20608073472976685,
    0.30878928303718567,
    0.4192720502614975,
    0.48326699435710907,
    0.5033021718263626,
    0.48679037392139435,
    0.41839294135570526,
    0.30966439843177795,
    0.18500003218650818,
    0.08327680826187134,
    0.018056899309158325,
    0.04507578909397125,
    0.12182813882827759,
    0.25614021718502045,
    0.4009065479040146,
    0.4817952960729599,
    0.5249617397785187,
    0.5606075525283813,
    0.5503461360931396,
    0.4610745459794998,
    0.34681230783462524,
    0.2999396175146103,
    0.2920162230730057,
    0.26550857722759247,
    0.22594478726387024,
    0.2733363211154938,
    0.388273686170578,
    0.5096733123064041,
    0.6051516085863113,
    0.6478900760412216,
    0.6221218407154083,
    0.5619774907827377,
    0.4870036393404007,
    0.39035651087760925,
    0.3016359806060791,
    0.2099117636680603,
    0.09539139270782471,
    -0.001837417483329773,
    0.008998110890388489,
    0.06092236936092377,
    0.12469656765460968,
    0.23835773766040802,
    0.40495407581329346,
    0.5818952769041061,
    0.6862647980451584,
    0.7386686950922012,
    0.7208304554224014,
    0.6510583460330963,
    0.4894101023674011,
    0.32249149680137634,
    0.21840603649616241,
    0.11926856637001038,
    0.10511153936386108,
    0.16760379076004028,
    0.23338265717029572,
    0.3148946613073349,
    0.35607168078422546,
    0.3846071660518646,
    0.3458733409643173,
    0.29938429594039917,
    0.20052623748779297,
    0.10750776529312134,
    0.04837691783905029,
    0.10251377522945404,
    0.21319809556007385,
    0.28844767808914185,
    0.3373336046934128,
    0.3253333568572998,
    0.2905113399028778,
    0.2825317978858948,
    0.2678404748439789,
    0.25124940276145935,
    0.20280557870864868,
    0.15089209377765656,
    0.08824419975280762,
    0.08268333971500397,
    0.10402652621269226,
    0.12297755479812622,
    0.2138618528842926,
    0.32379887998104095,
    0.4392465353012085,
    0.4920519292354584,
    0.4716752916574478,
    0.39356163144111633,
    0.2923238128423691,
    0.17227867245674133,
    0.049343258142471313,
    -0.03425589203834534,
    -0.06845733523368835,
    -0.04046967625617981,
    -0.008143499493598938,
    0.009405151009559631,
    0.0027348846197128296,
    -0.016049057245254517,
    0.000640377402305603,
    0.05445881187915802,
    0.11850704252719879,
    0.16701701283454895,
    0.22803305089473724,
    0.29588745534420013,
    0.37949928641319275,
    0.4025317132472992,
    0.4109378904104233,
    0.3771934509277344,
    0.31012701988220215,
    0.20992770791053772,
    0.142728790640831,
    0.13149885833263397,
    0.15048152208328247,
    0.1475832462310791,
    0.14051632583141327,
    0.15979483723640442,
    0.16111193597316742,
    0.08585648238658905,
    0.033188506960868835,
    0.03202773630619049,
    0.0644250363111496,
    0.08558492362499237,
    0.061885520815849304,
    0.05133238434791565,
    0.03533940017223358,
    0.031198173761367798,
    0.05034276843070984,
    0.11584152281284332,
    0.23242755234241486,
    0.3322315961122513,
    0.44137462973594666,
    0.4975406974554062,
    0.5615254491567612,
    0.5806300491094589,
    0.570271298289299,
    0.5074609816074371,
    0.4115026742219925,
    0.3025129735469818,
    0.20926840603351593,
    0.1845426708459854,
    0.1934741884469986,
    0.19730859994888306,
    0.2226630449295044,
    0.2419912964105606,
    0.24382555484771729,
    0.2804628759622574,
    0.3371013104915619,
    0.4105289429426193,
    0.4690772145986557,
    0.4701048582792282,
    0.44471611082553864,
    0.40313078463077545,
    0.34320758283138275,
    0.2790878862142563,
    0.2111445516347885,
    0.13226038217544556,
    0.12636399269104004,
    0.17467878758907318,
    0.24708649516105652,
    0.34899355471134186,
    0.41596509516239166,
    0.4587544798851013,
    0.5420552492141724,
    0.5875919461250305,
    0.6018950492143631,
    0.5375034362077713,
    0.44847339391708374,
    0.3622529059648514,
    0.24809026718139648,
    0.17644274234771729,
    0.17669352889060974,
    0.162046417593956,
    0.1987803727388382,
    0.2877639979124069,
    0.36808477342128754,
    0.4261844605207443,
    0.40953072905540466,
    0.3638484328985214,
    0.27412761747837067,
    0.1533818542957306,
    0.07096834480762482,
    0.06045651435852051,
    0.14603812992572784,
    0.22434699535369873,
    0.3160313367843628,
    0.3941006064414978,
    0.4409647583961487,
    0.45972171425819397,
    0.4245218187570572,
    0.3381774127483368,
    0.24808385968208313,
    0.19064103066921234,
    0.09650018811225891,
    0.04214237630367279,
    0.03086268901824951,
    0.09540003538131714,
    0.10109177231788635,
    0.13188078999519348,
    0.19403915107250214,
    0.27625060081481934,
    0.384541779756546,
    0.4610714763402939,
    0.49212394654750824,
    0.4440551847219467,
    0.312113881111145,
    0.18564341962337494,
    0.07539814710617065,
    -0.007221907377243042,
    -0.09371614456176758,
    -0.12971554696559906,
    -0.10436959564685822,
    -0.009561732411384583,
    0.10980117321014404,
    0.2407885491847992,
    0.33108365535736084,
    0.4186612069606781,
    0.45522983372211456,
    0.4906553626060486,
    0.4824071675539017,
    0.46517525613307953,
    0.41656164824962616,
    0.36163724958896637,
    0.2803812175989151,
    0.18313902616500854,
    0.07491859793663025,
    0.006828144192695618,
    -0.01620827615261078,
    0.024284258484840393,
    0.09812283515930176,
    0.16008195281028748,
    0.166268989443779,
    0.1635289490222931,
    0.156980961561203,
    0.13263364136219025,
    0.11692294478416443,
    0.11369942128658295,
    0.13375483453273773,
    0.16498726606369019,
    0.20720091462135315,
    0.2409815639257431,
    0.2547977715730667,
    0.22339142858982086,
    0.11912359297275543,
    0.02470703423023224,
    -0.07108505070209503,
    -0.0836925357580185,
    -0.13576442003250122,
    -0.08546820282936096,
    -0.03145892918109894,
    0.0753825306892395,
    0.19408923387527466,
    0.3118612915277481,
    0.36756883561611176,
    0.3805866986513138,
    0.3704618215560913,
    0.3349781781435013,
    0.2240896373987198,
    0.13916930556297302,
    0.012396290898323059,
    -0.06500244140625,
    -0.10919557511806488,
    -0.10612332820892334,
    -0.06662000715732574,
    -0.0032946765422821045,
    0.04346223175525665,
    0.0629667341709137,
    0.14361311495304108,
    0.2629491537809372,
    0.3543001413345337,
    0.44061021506786346,
    0.4610932767391205,
    0.45625393092632294,
    0.37452973425388336,
    0.257885217666626,
    0.13254845142364502,
    0.08010759949684143,
    0.09227928519248962,
    0.12330196797847748,
    0.13055486977100372,
    0.16732852160930634,
    0.21044716238975525,
    0.2492450624704361,
    0.2738572359085083,
    0.2816843092441559,
    0.24823527038097382,
    0.19608649611473083,
    0.14125047624111176,
    0.1055009514093399,
    0.08838208019733429,
    0.11345848441123962,
    0.15643323957920074,
    0.1882326751947403,
    0.2072717547416687,
    0.19576196372509003,
    0.1422577202320099,
    0.09382909536361694,
    0.05281348526477814,
    0.034667715430259705,
    0.01825067400932312,
    0.018811747431755066,
    0.03019772469997406,
    0.09346736967563629,
    0.14805792272090912,
    0.1679142564535141,
    0.2080044448375702,
    0.27669815719127655,
    0.34018853306770325,
    0.41681867837905884,
    0.42858265340328217,
    0.38207919895648956,
    0.28663182258605957,
    0.1683724820613861,
    0.08510352671146393,
    0.020662963390350342,
    0.007659807801246643,
    0.001577422022819519,
    0.005256369709968567,
    -0.007322356104850769,
    0.01834598183631897,
    0.055110007524490356,
    0.07969576120376587,
    0.10323669016361237,
    0.12234035134315491,
    0.15800783038139343,
    0.17278063297271729,
    0.2127850204706192,
    0.24717475473880768,
    0.27219459414482117,
    0.31784746050834656,
    0.3758901357650757,
    0.46118929982185364,
    0.5025446861982346,
    0.49044638872146606,
    0.3893714100122452,
    0.2294880449771881,
    0.0647163987159729,
    -0.036870673298835754,
    -0.0379195362329483,
    0.022296801209449768,
    0.14846624433994293,
    0.2331196516752243,
    0.2769104093313217,
    0.2684692293405533,
    0.25397370755672455,
    0.22991426289081573,
    0.22830162942409515,
    0.2511902004480362,
    0.2919481545686722,
    0.35093559324741364,
    0.3898823708295822,
    0.3486265391111374,
    0.23872844874858856,
    0.0830325037240982,
    -0.006817072629928589,
    -0.03565002977848053,
    -0.06803339719772339,
    -0.07639846205711365,
    -0.03034612536430359,
    0.04074035584926605,
    0.1449611783027649,
    0.28676293790340424,
    0.40348608791828156,
    0.5383493155241013,
    0.5781624764204025,
    0.522994339466095,
    0.39847709238529205,
    0.2736421078443527,
    0.14043660461902618,
    0.0020769089460372925,
    -0.06486721336841583,
    -0.05675341188907623,
    0.019118353724479675,
    0.12109175324440002,
    0.22764696180820465,
    0.3168331980705261,
    0.4096500873565674,
    0.4569345563650131,
    0.48867614567279816,
    0.4741726368665695,
    0.4338902235031128,
    0.34398408234119415,
    0.20593805611133575,
    0.07147388160228729,
    -0.015322893857955933,
    -0.05545881390571594,
    0.0002468973398208618,
    0.12202976644039154,
    0.25912053883075714,
    0.36776821315288544,
    0.43630942702293396,
    0.41674695909023285,
    0.3887016177177429,
    0.2793678641319275,
    0.19549977779388428,
    0.11992424726486206,
    0.15780045092105865,
    0.25622929632663727,
    0.35034050047397614,
    0.4622865170240402,
    0.5299473851919174,
    0.5282463133335114,
    0.4775940626859665,
    0.32009032368659973,
    0.19167055189609528,
    0.07985179126262665,
    0.06097695231437683,
    0.05611369013786316,
    0.10579231381416321,
    0.16188466548919678,
    0.2132810354232788,
    0.2880697250366211,
    0.39950938522815704,
    0.5032540261745453,
    0.6090735197067261,
    0.6552744060754776,
    0.6375121623277664,
    0.5569750964641571,
    0.4181270897388458,
    0.2472909539937973,
    0.12139031291007996,
    0.05631189048290253,
    0.06317158043384552,
    0.09946002066135406,
    0.12489263713359833,
    0.12136571109294891,
    0.12337562441825867,
    0.1549128293991089,
    0.23594097793102264,
    0.32181093096733093,
    0.42016731202602386,
    0.49240244925022125,
    0.5541926175355911,
    0.5681338310241699,
    0.5573186278343201,
    0.5434689372777939,
    0.4911884665489197,
    0.4313237965106964,
    0.35567550361156464,
    0.265883669257164,
    0.18252234160900116,
    0.15386785566806793,
    0.17081612348556519,
    0.21211671829223633,
    0.2135755717754364,
    0.18122534453868866,
    0.16609452664852142,
    0.18318115174770355,
    0.21656687557697296,
    0.26267118752002716,
    0.3418381065130234,
    0.41925737261772156,
    0.4785459190607071,
    0.5231804698705673,
    0.5338435769081116,
    0.43187230825424194,
    0.3190777450799942,
    0.17334307730197906,
    0.08784274756908417,
    0.04401327669620514,
    0.027891218662261963,
    0.06615568697452545,
    0.14494846761226654,
    0.2881125211715698,
    0.4253566265106201,
    0.5179038196802139,
    0.5607105940580368,
    0.5671743452548981,
    0.5125106573104858,
    0.4219208210706711,
    0.32363076508045197,
    0.23750315606594086,
    0.18136167526245117,
    0.1639859974384308,
    0.1581122726202011,
    0.19690032303333282,
    0.2555166780948639,
    0.2871476113796234,
    0.3292740136384964,
    0.3803037703037262,
    0.4692511111497879,
    0.5224731713533401,
    0.5315259844064713,
    0.4782114773988724,
    0.4489814341068268,
    0.4524674713611603,
    0.4378150552511215,
    0.4057179391384125,
    0.3759988248348236,
    0.36696913838386536,
    0.3685111999511719,
    0.36793316900730133,
    0.3501318544149399,
    0.3089556396007538,
    0.25373008847236633,
    0.16562853753566742,
    0.12453246116638184,
    0.16540686786174774,
    0.30857083201408386,
    0.46835143864154816,
    0.5671407133340836,
    0.5966821312904358,
    0.5620686560869217,
    0.49991612136363983,
    0.43027549982070923,
    0.32768478989601135,
    0.2382407784461975,
    0.1288580298423767,
    0.06849156320095062,
    0.04930131137371063,
    0.05083476006984711,
    0.11434465646743774,
    0.15631313621997833,
    0.24863165616989136,
    0.3234107047319412,
    0.3966931402683258,
    0.4532533586025238,
    0.49785013496875763,
    0.5113793611526489,
    0.4528827965259552,
    0.34190794825553894,
    0.22341163456439972,
    0.11404567956924438,
    0.03384408354759216,
    0.052296221256256104,
    0.08353295922279358,
    0.10910363495349884,
    0.13360504806041718,
    0.16789838671684265,
    0.25582921504974365,
    0.3533101826906204,
    0.465815931558609,
    0.5541987121105194,
    0.6181347519159317,
    0.6301584839820862,
    0.6292887628078461,
    0.6197742372751236,
    0.5711138993501663,
    0.46791166067123413,
    0.34458017349243164,
    0.22658459842205048,
    0.12849709391593933,
    0.04750336706638336,
    0.0429546982049942,
    0.08783179521560669,
    0.1553976684808731,
    0.19871971011161804,
    0.22535471618175507,
    0.20808087289333344,
    0.23606838285923004,
    0.24848537147045135,
    0.2839016616344452,
    0.34545525908470154,
    0.3768156170845032,
    0.4225185066461563,
    0.4173978269100189,
    0.39585472643375397,
    0.34315578639507294,
    0.20001091063022614,
    0.0751378983259201,
    -0.030770257115364075,
    -0.017493605613708496,
    0.0067414939403533936,
    0.07449015974998474,
    0.16503067314624786,
    0.23850077390670776,
    0.33441707491874695,
    0.40267713367938995,
    0.440311923623085,
    0.39173540472984314,
    0.33330124616622925,
    0.25789403915405273,
    0.1867203563451767,
    0.1442451924085617,
    0.07993686199188232,
    0.04332989454269409,
    0.05545021593570709,
    0.10122758150100708,
    0.08388698101043701,
    0.1134348064661026,
    0.20263530313968658,
    0.31691545248031616,
    0.43721258640289307,
    0.5143056064844131,
    0.5690755844116211,
    0.5641332417726517,
    0.48524440824985504,
    0.34361669421195984,
    0.15303680300712585,
    0.05078178644180298,
    -0.011222124099731445,
    -0.036730289459228516,
    0.020384743809700012,
    0.14532063901424408,
    0.33299969136714935,
    0.5014020204544067,
    0.575273260474205,
    0.5492525100708008,
    0.4638969153165817,
    0.3318566679954529,
    0.19427864253520966,
    0.08883793652057648,
    0.05286985635757446,
    0.07347382605075836,
    0.11103346943855286,
    0.1805237978696823,
    0.22451826930046082,
    0.2885703593492508,
    0.34081800282001495,
    0.30962708592414856,
    0.22259476780891418,
    0.16221848130226135,
    0.16242191195487976,
    0.17150352895259857,
    0.19331581890583038,
    0.22224140167236328,
    0.20197798311710358,
    0.20166698098182678,
    0.24006284773349762,
    0.31062841415405273,
    0.3862767815589905,
    0.43642258644104004,
    0.38584668934345245,
    0.32949261367321014,
    0.1688244640827179,
    0.02678963541984558,
    -0.09186580777168274,
    -0.10093814134597778,
    -0.039572715759277344,
    0.04762646555900574,
    0.11216314136981964,
    0.13847999274730682,
    0.1569233238697052,
    0.22680523991584778,
    0.2685352712869644,
    0.31825706362724304,
    0.3779050260782242,
    0.42070960998535156,
    0.4766179174184799,
    0.501391276717186,
    0.5248322784900665,
    0.5291639417409897,
    0.4758375883102417,
    0.37737850844860077,
    0.24502302706241608,
    0.13206207752227783,
    0.03960506618022919,
    0.03471778333187103,
    0.07593703269958496,
    0.15886792540550232,
    0.20114406943321228,
    0.2299034744501114,
    0.27177171409130096,
    0.32119588553905487,
    0.3285474181175232,
    0.32133398950099945,
    0.30651961266994476,
    0.3430526852607727,
    0.386579304933548,
    0.4118898808956146,
    0.4533206820487976,
    0.41768878698349,
    0.33539415895938873,
    0.2322559952735901,
    0.20008490979671478,
    0.1750379204750061,
    0.12401467561721802,
    0.12267585098743439,
    0.1651047319173813,
    0.2845184803009033,
    0.38937026262283325,
    0.4586290270090103,
    0.48700590431690216,
    0.45330680906772614,
    0.4213966131210327,
    0.35785384476184845,
    0.24942593276500702,
    0.2002171128988266,
    0.12069486081600189,
    0.0593717098236084,
    -0.0123281329870224,
    0.003248170018196106,
    0.04727816581726074,
    0.10099731385707855,
    0.17230628430843353,
    0.3101896345615387,
    0.46274498105049133,
    0.5690782517194748,
    0.6362387090921402,
    0.604618713259697,
    0.521575391292572,
    0.40794748067855835,
    0.28828176856040955,
    0.20122456550598145,
    0.13025346398353577,
    0.11232776939868927,
    0.15318214893341064,
    0.23755653202533722,
    0.3346615880727768,
    0.41586294770240784,
    0.4593530595302582,
    0.4317418187856674,
    0.38249215483665466,
    0.23979051411151886,
    0.1024271547794342,
    0.019102230668067932,
    0.06873659789562225,
    0.18085551261901855,
    0.26562315225601196,
    0.3266857713460922,
    0.36486679315567017,
    0.3461751639842987,
    0.32698842883110046,
    0.25239309668540955,
    0.18770217895507812,
    0.13478444516658783,
    0.08274319767951965,
    0.065508633852005,
    0.11674250662326813,
    0.20111265778541565,
    0.22869648039340973,
    0.2514502704143524,
    0.3309957981109619,
    0.3926983177661896,
    0.4613162577152252,
    0.5076819807291031,
    0.5297559350728989,
    0.4926680773496628,
    0.4062751829624176,
    0.29131126403808594,
    0.20394834876060486,
    0.16156445443630219,
    0.12455028295516968,
    0.12358643114566803,
    0.14052711427211761,
    0.20127718150615692,
    0.22870048880577087,
    0.25154298543930054,
    0.3072863072156906,
    0.40249770879745483,
    0.47759975492954254,
    0.5416709929704666,
    0.5960765928030014,
    0.6183912009000778,
    0.6461529433727264,
    0.6732890009880066,
    0.6465848982334137,
    0.6078690141439438,
    0.5351036339998245,
    0.46532173454761505,
    0.3666110783815384,
    0.2702394872903824,
    0.20853695273399353,
    0.22596901655197144,
    0.30166976153850555,
    0.31666748225688934,
    0.3314204066991806,
    0.34062179923057556,
    0.3467729836702347,
    0.34521839022636414,
    0.35253702104091644,
    0.3651612102985382,
    0.3604528605937958,
    0.3923494964838028,
    0.40291689336299896,
    0.3931858390569687,
    0.3629143238067627,
    0.2566077560186386,
    0.1585724949836731,
    0.08152295649051666,
    0.09655885398387909,
    0.09621384739875793,
    0.14289866387844086,
    0.1830427497625351,
    0.22008287906646729,
    0.2585933208465576,
    0.2469080537557602,
    0.22305051982402802,
    0.23109135031700134,
    0.2532656192779541,
    0.2941037565469742,
    0.29308879375457764,
    0.3085004538297653,
    0.2797018438577652,
    0.22019067406654358,
    0.17356671392917633,
    0.09472069144248962,
    0.025293990969657898,
    -0.02450805902481079,
    -0.06106959283351898,
    -0.029880747199058533,
    0.018508747220039368,
    0.09003403782844543,
    0.1587011069059372,
    0.27076806128025055,
    0.3817373216152191,
    0.4588667005300522,
    0.5036070346832275,
    0.5103322416543961,
    0.45872676372528076,
    0.3479592502117157,
    0.26510466635227203,
    0.2265816628932953,
    0.2021636813879013,
    0.17506903409957886,
    0.15923327207565308,
    0.1648462861776352,
    0.241221085190773,
    0.3402591943740845,
    0.4399299621582031,
    0.45920728147029877,
    0.4688243269920349,
    0.39681021869182587,
    0.3501514196395874,
    0.31339503824710846,
    0.33231766521930695,
    0.41289614140987396,
    0.432960107922554,
    0.4739181250333786,
    0.4363900125026703,
    0.40988296270370483,
    0.3896527737379074,
    0.37314167618751526,
    0.374259278178215,
    0.3355158865451813,
    0.32040348649024963,
    0.29175935685634613,
    0.27908898890018463,
    0.26437266170978546,
    0.2777142822742462,
    0.35887208580970764,
    0.46568092703819275,
    0.5919263511896133,
    0.6942935585975647,
    0.7408390492200851,
    0.7427412271499634,
    0.6411765515804291,
    0.506804496049881,
    0.34604018926620483,
    0.17320503294467926,
    0.10135428607463837,
    0.1086384505033493,
    0.12594573199748993,
    0.13532669842243195,
    0.14695130288600922,
    0.15468581020832062,
    0.19562621414661407,
    0.22975702583789825,
    0.3311493396759033,
    0.47119665145874023,
    0.5922264903783798,
    0.6884201020002365,
    0.6796137690544128,
    0.5891257673501968,
    0.48763667047023773,
    0.3616424798965454,
    0.27236393094062805,
    0.24321211874485016,
    0.20533297955989838,
    0.18937323987483978,
    0.19007545709609985,
    0.21471518278121948,
    0.24654099345207214,
    0.260018914937973,
    0.26465316116809845,
    0.2880350202322006,
    0.2708183079957962,
    0.19366393983364105,
    0.16625283658504486,
    0.17115609347820282,
    0.19605904817581177,
    0.2376989722251892,
    0.30231963098049164,
    0.36192144453525543,
    0.36041827499866486,
    0.32083113491535187,
    0.25098463892936707,
    0.17394205927848816,
    0.11429740488529205,
    0.0412769615650177,
    0.05998876690864563,
    0.13963814079761505,
    0.2566351890563965,
    0.37314124405384064,
    0.4469282031059265,
    0.5322345644235611,
    0.534571573138237,
    0.501514345407486,
    0.4671318680047989,
    0.45359139144420624,
    0.42450301349163055,
    0.35261936485767365,
    0.27273406088352203,
    0.21874555945396423,
    0.18915416300296783,
    0.17009353637695312,
    0.23222802579402924,
    0.34587468206882477,
    0.4818412959575653,
    0.57821886241436,
    0.6619216352701187,
    0.6834419518709183,
    0.6822489947080612,
    0.63006991147995,
    0.4999791979789734,
    0.3293091207742691,
    0.22584472596645355,
    0.1499509960412979,
    0.14997048676013947,
    0.22642956674098969,
    0.3456481546163559,
    0.4273434430360794,
    0.5041295737028122,
    0.5271854996681213,
    0.5135424882173538,
    0.4788525700569153,
    0.36143532395362854,
    0.2581738233566284,
    0.2101038247346878,
    0.2660690248012543,
    0.35242433845996857,
    0.4670446366071701,
    0.5344161093235016,
    0.4955085813999176,
    0.44780777394771576,
    0.34928376972675323,
    0.26152992248535156,
    0.2104083150625229,
    0.23909401893615723,
    0.23781128227710724,
    0.2502211928367615,
    0.27845069766044617,
    0.315822035074234,
    0.3528340756893158,
    0.3482629060745239,
    0.329465314745903,
    0.296846404671669,
    0.347715362906456,
    0.41465021669864655,
    0.4881488233804703,
    0.48329776525497437,
    0.4415540397167206,
    0.30716200172901154,
    0.1731327921152115,
    0.030281543731689453,
    -0.0689777284860611,
    -0.02890925109386444,
    0.04510916769504547,
    0.1408262699842453,
    0.22519776225090027,
    0.32472118735313416,
    0.42066484689712524,
    0.511539876461029,
    0.5496399998664856,
    0.5403068661689758,
    0.5139582306146622,
    0.445478692650795,
    0.38040877878665924,
    0.29948754608631134,
    0.18325063586235046,
    0.10838691890239716,
    0.004312396049499512,
    -0.07629998028278351,
    -0.09184232354164124,
    -0.042596206068992615,
    0.08737219870090485,
    0.1692320704460144,
    0.2232787162065506,
    0.270689994096756,
    0.32813405990600586,
    0.3215753883123398,
    0.3171038329601288,
    0.3226136714220047,
    0.3658454418182373,
    0.4088217616081238,
    0.41644464433193207,
    0.41005516052246094,
    0.3279905915260315,
    0.21104392409324646,
    0.11053332686424255,
    0.06113266944885254,
    0.05183587968349457,
    0.015259623527526855,
    -0.021565064787864685,
    0.01614902913570404,
    0.12551531195640564,
    0.19115592539310455,
    0.28436149656772614,
    0.345029279589653,
    0.39479632675647736,
    0.41629278659820557,
    0.3663053810596466,
    0.26210181415081024,
    0.17293410003185272,
    0.1081896722316742,
    0.029248297214508057,
    -0.029969558119773865,
    -0.05151920020580292,
    -0.03724399209022522,
    0.016636967658996582,
    0.08209846913814545,
    0.2056559920310974,
    0.3301405757665634,
    0.43410979211330414,
    0.4964980036020279,
    0.47740820050239563,
    0.43514764308929443,
    0.339131623506546,
    0.21991513669490814,
    0.11957868933677673,
    0.05358782410621643,
    0.04952935874462128,
    0.042063936591148376,
    0.07048934698104858,
    0.1599656492471695,
    0.33092907071113586,
    0.428200900554657,
    0.5166089832782745,
    0.5688546299934387,
    0.5159779638051987,
    0.465287446975708,
    0.36576487123966217,
    0.29732567071914673,
    0.277986079454422,
    0.33465375006198883,
    0.4309661239385605,
    0.5033955425024033,
    0.5368054211139679,
    0.5521529763936996,
    0.5350728332996368,
    0.4977220445871353,
    0.42780520021915436,
    0.3608049899339676,
    0.2791478782892227,
    0.2561856657266617,
    0.23517529666423798,
    0.2601723223924637,
    0.30631279945373535,
    0.31322211027145386,
    0.3679260015487671,
    0.4274015724658966,
    0.4789680987596512,
    0.5452370941638947,
    0.5951215475797653,
    0.5773877203464508,
    0.47176989912986755,
    0.3567265570163727,
    0.2238922119140625,
    0.11285974085330963,
    0.07641154527664185,
    0.12478995323181152,
    0.17715275287628174,
    0.22468699514865875,
    0.2486022263765335,
    0.2677287757396698,
    0.2644731402397156,
    0.24727977812290192,
    0.24329137802124023,
    0.2765861600637436,
    0.34236685931682587,
    0.4102376848459244,
    0.5098180770874023,
    0.5914303064346313,
    0.6523234397172928,
    0.6786061227321625,
    0.5943004041910172,
    0.43778136372566223,
    0.26600292325019836,
    0.13360901176929474,
    0.0695318877696991,
    0.11240068078041077,
    0.20734401047229767,
    0.30295315384864807,
    0.35739220678806305,
    0.3645085543394089,
    0.3841458708047867,
    0.3545844256877899,
    0.3571504205465317,
    0.37430790066719055,
    0.41146089136600494,
    0.43222378194332123,
    0.4119062125682831,
    0.34776467084884644,
    0.264390230178833,
    0.2195924073457718,
    0.15886622667312622,
    0.16213403642177582,
    0.17083202302455902,
    0.20539647340774536,
    0.2754897475242615,
    0.3110509365797043,
    0.36300352215766907,
    0.4240853637456894,
    0.458986833691597,
    0.48092515766620636,
    0.4745638072490692,
    0.43447355926036835,
    0.3848220258951187,
    0.30064667761325836,
    0.24652312695980072,
    0.19693951308727264,
    0.179181307554245,
    0.21812704205513,
    0.3273872584104538,
    0.44671793282032013,
    0.553841307759285,
    0.6681405305862427,
    0.735395610332489,
    0.743192508816719,
    0.7117793262004852,
    0.6056367456912994,
    0.43155571818351746,
    0.2661939114332199,
    0.14893269538879395,
    0.12953431904315948,
    0.1276799589395523,
    0.19618721306324005,
    0.27231110632419586,
    0.349716454744339,
    0.4108596742153168,
    0.4701843410730362,
    0.47846364974975586,
    0.4369130879640579,
    0.3723088502883911,
    0.3429664224386215,
    0.3478336036205292,
    0.3755502849817276,
    0.46984274685382843,
    0.524984210729599,
    0.514764741063118,
    0.46717795729637146,
    0.4208682030439377,
    0.4064512550830841,
    0.33751390874385834,
    0.2928146868944168,
    0.2517588585615158,
    0.23706039786338806,
    0.21432633697986603,
    0.22457526624202728,
    0.23250025510787964,
    0.19308404624462128,
    0.20941343903541565,
    0.271501287817955,
    0.3326210528612137,
    0.371622234582901,
    0.4094836562871933,
    0.4062623083591461,
    0.3310984671115875,
    0.23791560530662537,
    0.12658201158046722,
    0.048554763197898865,
    0.03917135298252106,
    -0.005040377378463745,
    -0.018278032541275024,
    0.007141411304473877,
    0.11178816854953766,
    0.16493666172027588,
    0.2246234118938446,
    0.2999884784221649,
    0.40332937240600586,
    0.5029970854520798,
    0.5837451368570328,
    0.586851954460144,
    0.5438220649957657,
    0.45244985818862915,
    0.3428359180688858,
    0.17842534184455872,
    0.0693802684545517,
    0.0023443400859832764,
    0.04130321741104126,
    0.10846762359142303,
    0.13290956616401672,
    0.1323516070842743,
    0.14724436402320862,
    0.18372534215450287,
    0.21142372488975525,
    0.2469945251941681,
    0.30085164308547974,
    0.3573963791131973,
    0.4231114834547043,
    0.44562871754169464,
    0.45519813895225525,
    0.40343141555786133,
    0.3248007148504257,
    0.23532003164291382,
    0.18624787032604218,
    0.12882667779922485,
    0.06483596563339233,
    0.02397783100605011,
    0.055468931794166565,
    0.16656753420829773,
    0.3072662502527237,
    0.4154807776212692,
    0.4851123243570328,
    0.4993656426668167,
    0.4946792721748352,
    0.4362412840127945,
    0.3278321176767349,
    0.21723438799381256,
    0.12572836875915527,
    0.03165528178215027,
    0.0005888491868972778,
    0.01003788411617279,
    0.02664285898208618,
    0.0474417507648468,
    0.10549512505531311,
    0.19268113374710083,
    0.3455873131752014,
    0.4576137363910675,
    0.5273450762033463,
    0.543743297457695,
    0.508036345243454,
    0.4411188215017319,
    0.3695373684167862,
    0.3010636121034622,
    0.19287696480751038,
    0.13282860815525055,
    0.15997035801410675,
    0.26545481383800507,
    0.34280334413051605,
    0.43119317293167114,
    0.4382514953613281,
    0.37630708515644073,
    0.2789905071258545,
    0.15711770951747894,
    0.15150392055511475,
    0.2534572631120682,
    0.4073762148618698,
    0.5410526394844055,
    0.6376107931137085,
    0.7048105746507645,
    0.6746247857809067,
    0.6663741767406464,
    0.6713314354419708,
    0.6192507445812225,
    0.5298341065645218,
    0.4463582783937454,
    0.34282924234867096,
    0.2232470065355301,
    0.14305898547172546,
    0.09844231605529785,
    0.12054112553596497,
    0.1927945762872696,
    0.3106815367937088,
    0.43723952770233154,
    0.5410533398389816,
    0.660374328494072,
    0.6890380829572678,
    0.6724847555160522,
    0.5859141945838928,
    0.46516093611717224,
    0.3256252706050873,
    0.1738157570362091,
    0.07197026908397675,
    0.04562632739543915,
    0.061379700899124146,
    0.07010778784751892,
    0.08021257817745209,
    0.1056714802980423,
    0.12603694200515747,
    0.17705559730529785,
    0.24213749170303345,
    0.2863503396511078,
    0.3564648926258087,
    0.42892684042453766,
    0.4687555730342865,
    0.4762966185808182,
    0.464739128947258,
    0.44301798939704895,
    0.34522266685962677,
    0.26562540233135223,
    0.1529722511768341,
    0.08027419447898865,
    -0.005395844578742981,
    -0.03052978217601776,
    0.03924718499183655,
    0.14617308974266052,
    0.2305266261100769,
    0.24066458642482758,
    0.27506743371486664,
    0.31741783022880554,
    0.3276648074388504,
    0.3333793431520462,
    0.37133099138736725,
    0.4164569526910782,
    0.4826704114675522,
    0.5386890470981598,
    0.561886265873909,
    0.48615762591362,
    0.3699568063020706,
    0.2608266621828079,
    0.1686382293701172,
    0.1391126960515976,
    0.06611707806587219,
    0.05774293839931488,
    0.08800368010997772,
    0.22056394815444946,
    0.37623393535614014,
    0.4811679273843765,
    0.5411834567785263,
    0.5646809190511703,
    0.5080388188362122,
    0.4537578523159027,
    0.3396656811237335,
    0.23413430154323578,
    0.09046819806098938,
    -0.024715781211853027,
    -0.06990422308444977,
    -0.02383197844028473,
    0.05335129797458649,
    0.13246072828769684,
    0.20270290970802307,
    0.2402956783771515,
    0.3174373507499695,
    0.36076030135154724,
    0.39339788258075714,
    0.4116619974374771,
    0.4519258439540863,
    0.4714113622903824,
    0.4489010274410248,
    0.3808673918247223,
    0.26431477069854736,
    0.17896917462348938,
    0.14047512412071228,
    0.1886725127696991,
    0.304852232336998,
    0.3867197632789612,
    0.4886251986026764,
    0.503176286816597,
    0.48539090156555176,
    0.4242289960384369,
    0.37221239507198334,
    0.2996496111154556,
    0.23233376443386078,
    0.1940935254096985,
    0.15738247334957123,
    0.11730943620204926,
    0.10921566188335419,
    0.1156356930732727,
    0.09147360920906067,
    0.10004879534244537,
    0.08358199894428253,
    0.06844763457775116,
    0.07711876928806305,
    0.10287314653396606,
    0.12086640298366547,
    0.13308854401111603,
    0.19852763414382935,
    0.2594742625951767,
    0.35934634506702423,
    0.46538230776786804,
    0.5072060972452164,
    0.5082012712955475,
    0.44772979617118835,
    0.3686407655477524,
    0.3030265122652054,
    0.2205808460712433,
    0.12677235901355743,
    0.08593559265136719,
    0.07935445010662079,
    0.13820117712020874,
    0.2041907012462616,
    0.25560764968395233,
    0.2751972824335098,
    0.3006172478199005,
    0.3143707364797592,
    0.3751029670238495,
    0.4448239952325821,
    0.4797046631574631,
    0.45237256586551666,
    0.3802364766597748,
    0.27327391505241394,
    0.14788056910037994,
    0.07386705279350281,
    0.030074462294578552,
    0.0607680082321167,
    0.10410967469215393,
    0.13346755504608154,
    0.13404978811740875,
    0.15768519043922424,
    0.24365830421447754,
    0.36557015776634216,
    0.5145219564437866,
    0.6265338808298111,
    0.6682208478450775,
    0.6671817004680634,
    0.666670635342598,
    0.7155851423740387,
    0.7535859495401382,
    0.7553533315658569,
    0.6723989844322205,
    0.5498756617307663,
    0.4021621495485306,
    0.269702211022377,
    0.20602841675281525,
    0.20395666360855103,
    0.29166601598262787,
    0.364764004945755,
    0.43166275322437286,
    0.48871801793575287,
    0.5056217461824417,
    0.4939391762018204,
    0.49311040341854095,
    0.5211729258298874,
    0.5611268132925034,
    0.6172631829977036,
    0.6423041075468063,
    0.6539693623781204,
    0.5545414090156555,
    0.4132869988679886,
    0.27992889285087585,
    0.2135779708623886,
    0.2144646942615509,
    0.21704113483428955,
    0.2521039992570877,
    0.2862382084131241,
    0.3557446300983429,
    0.4404315799474716,
    0.5066036432981491,
    0.5634694248437881,
    0.5847597867250443,
    0.5414763987064362,
    0.4638978838920593,
    0.3257024437189102,
    0.19238243997097015,
    0.0851437896490097,
    -0.002548426389694214,
    -0.03792761266231537,
    0.006143674254417419,
    0.06971967220306396,
    0.1498575061559677,
    0.2615725249052048,
    0.3998580276966095,
    0.5587784349918365,
    0.6596915423870087,
    0.7263460904359818,
    0.6983650773763657,
    0.6318908631801605,
    0.4947550445795059,
    0.322750449180603,
    0.15963053703308105,
    0.0783277153968811,
    0.05034235119819641,
    0.042912557721138,
    0.10245305299758911,
    0.25137515366077423,
    0.3422093838453293,
    0.40401411056518555,
    0.41105787456035614,
    0.32979103922843933,
    0.22200991213321686,
    0.10924041271209717,
    0.05520911514759064,
    0.035978078842163086,
    0.1114300787448883,
    0.16809159517288208,
    0.2548898011445999,
    0.3122004419565201,
    0.3326543867588043,
    0.3292877972126007,
    0.26489825546741486,
    0.20884458720684052,
    0.12880085408687592,
    0.08487534523010254,
    0.0583021342754364,
    0.04741431772708893,
    0.04179428517818451,
    0.04879957437515259,
    0.07637783885002136,
    0.13160577416419983,
    0.23173999786376953,
    0.3545493483543396,
    0.46187981963157654,
    0.49009814858436584,
    0.4691766947507858,
    0.36902429163455963,
    0.2283373475074768,
    0.09140634536743164,
    -0.005877017974853516,
    -0.07351098954677582,
    -0.083295077085495,
    -0.02511487901210785,
    0.04384985566139221,
    0.13588948547840118,
    0.21690362691879272,
    0.29478704929351807,
    0.340093657374382,
    0.3979317545890808,
    0.39833295345306396,
    0.4029264599084854,
    0.41238878667354584,
    0.4315221756696701,
    0.4481583833694458,
    0.4557659476995468,
    0.4332214593887329,
    0.35309286415576935,
    0.2447677105665207,
    0.14447622001171112,
    0.07965315878391266,
    0.0971333235502243,
    0.15383371710777283,
    0.20622865855693817,
    0.24415861070156097,
    0.3177463114261627,
    0.3579963892698288,
    0.3584405779838562,
    0.3595133125782013,
    0.3399346321821213,
    0.3527798354625702,
    0.37198077142238617,
    0.3703204244375229,
    0.3768768459558487,
    0.3271122872829437,
    0.26671968400478363,
    0.1677551567554474,
    0.09839926660060883,
    0.07864938676357269,
    0.061509013175964355,
    0.09010873734951019,
    0.14435358345508575,
    0.28235456347465515,
    0.43753892183303833,
    0.5293026268482208,
    0.6048101633787155,
    0.6098767071962357,
    0.574486255645752,
    0.537229910492897,
    0.44637322425842285,
    0.32548458874225616,
    0.18903470039367676,
    0.0937880277633667,
    0.02355794608592987,
    0.03475683927536011,
    0.08278395235538483,
    0.1562669724225998,
    0.23090516030788422,
    0.3343886733055115,
    0.43372108042240143,
    0.46393580734729767,
    0.5030542761087418,
    0.508058562874794,
    0.48790162801742554,
    0.4551254212856293,
    0.3653803765773773,
    0.2526034265756607,
    0.13440623879432678,
    0.06580618023872375,
    0.027899056673049927,
    -0.0009490549564361572,
    0.0039190202951431274,
    0.04895074665546417,
    0.14291676878929138,
    0.2536998689174652,
    0.3481608033180237,
    0.37383486330509186,
    0.359963595867157,
    0.3095772713422775,
    0.22356343269348145,
    0.1397407054901123,
    0.05070383846759796,
    0.021917223930358887,
    0.028874680399894714,
    0.07753890752792358,
    0.18004147708415985,
    0.28706464171409607,
    0.3467090129852295,
    0.41013583540916443,
    0.4438405781984329,
    0.44689100980758667,
    0.39713846147060394,
    0.28864264488220215,
    0.2320389598608017,
    0.17870989441871643,
    0.18158453702926636,
    0.18420885503292084,
    0.22285887598991394,
    0.25499339401721954,
    0.3109762370586395,
    0.4082183986902237,
    0.46081987023353577,
    0.5003688484430313,
    0.48266859352588654,
    0.4512922018766403,
    0.3694341480731964,
    0.26393869519233704,
    0.1575358808040619,
    0.07057392597198486,
    0.021354421973228455,
    0.0506773442029953,
    0.096196249127388,
    0.1861206740140915,
    0.27903689444065094,
    0.3479732573032379,
    0.4128425121307373,
    0.4791533052921295,
    0.5560590624809265,
    0.623689591884613,
    0.6576671302318573,
    0.6799396574497223,
    0.6110889762639999,
    0.5186195075511932,
    0.4153706282377243,
    0.30539748072624207,
    0.21604904532432556,
    0.15873564779758453,
    0.19393974542617798,
    0.25432054698467255,
    0.3492913097143173,
    0.3638480007648468,
    0.3820154517889023,
    0.41498854756355286,
    0.42994166910648346,
    0.408580482006073,
    0.35898442566394806,
    0.3127109259366989,
    0.31498904526233673,
    0.3804353326559067,
    0.4238075613975525,
    0.49739639461040497,
    0.45340703427791595,
    0.3475816994905472,
    0.22819384932518005,
    0.1525423377752304,
    0.14114364981651306,
    0.11921137571334839,
    0.1487731635570526,
    0.1848045289516449,
    0.22871768474578857,
    0.26951730251312256,
    0.33769503235816956,
    0.4097670763731003,
    0.4922339767217636,
    0.5387207865715027,
    0.5456518232822418,
    0.4728134125471115,
    0.34632404148578644,
    0.21503610908985138,
    0.10585230588912964,
    0.0529133677482605,
    0.053181469440460205,
    0.07174687087535858,
    0.12932874262332916,
    0.23858146369457245,
    0.3700958788394928,
    0.5152166783809662,
    0.5944741517305374,
    0.6155893057584763,
    0.5729519575834274,
    0.5064718425273895,
    0.42089587450027466,
    0.3431578725576401,
    0.27716144919395447,
    0.26941585540771484,
    0.29807567596435547,
    0.3135434240102768,
    0.31964312493801117,
    0.3462153226137161,
    0.4168534278869629,
    0.40150022506713867,
    0.3815951347351074,
    0.3571739196777344,
    0.324644535779953,
    0.3549874722957611,
    0.372206911444664,
    0.4340350031852722,
    0.5068636834621429,
    0.5601236820220947,
    0.5720377117395401,
    0.5059672296047211,
    0.42435628175735474,
    0.3319108635187149,
    0.23784410953521729,
    0.1883779913187027,
    0.1527947187423706,
    0.13333581387996674,
    0.16506867110729218,
    0.2236551195383072,
    0.32150864601135254,
    0.40103664994239807,
    0.414765328168869,
    0.35620929300785065,
    0.2845967561006546,
    0.21255289018154144,
    0.20761781930923462,
    0.22374102473258972,
    0.27594631910324097,
    0.29339663684368134,
    0.32060226798057556,
    0.3178132474422455,
    0.29262667894363403,
    0.3040904551744461,
    0.28492580354213715,
    0.2450079619884491,
    0.20062200725078583,
    0.23951013386249542,
    0.31259550154209137,
    0.4016239494085312,
    0.48894599080085754,
    0.5334673374891281,
    0.5395180583000183,
    0.4855000078678131,
    0.38822032511234283,
    0.3025173842906952,
    0.2816249877214432,
    0.22181493043899536,
    0.17205503582954407,
    0.1245918869972229,
    0.11153623461723328,
    0.1238139420747757,
    0.19041123986244202,
    0.27606092393398285,
    0.3581394702196121,
    0.4349892735481262,
    0.5280328840017319,
    0.534571036696434,
    0.533101037144661,
    0.5176170766353607,
    0.4763752520084381,
    0.4464520066976547,
    0.42042598128318787,
    0.3981570601463318,
    0.3974509686231613,
    0.392350897192955,
    0.3724067658185959,
    0.3236340135335922,
    0.3151659071445465,
    0.3150111585855484,
    0.2908032238483429,
    0.24634946882724762,
    0.21534577012062073,
    0.2293674796819687,
    0.32860101759433746,
    0.4039818197488785,
    0.4666591137647629,
    0.4774041771888733,
    0.4594507962465286,
    0.4300639480352402,
    0.4000032991170883,
    0.33614352345466614,
    0.2585786134004593,
    0.19904595613479614,
    0.17391259968280792,
    0.24431222677230835,
    0.34559035301208496,
    0.4618995189666748,
    0.564114049077034,
    0.5817350447177887,
    0.5333344042301178,
    0.4404372274875641,
    0.36476539075374603,
    0.29112623631954193,
    0.25284871459007263,
    0.26254212856292725,
    0.27911920845508575,
    0.2915160059928894,
    0.30647069215774536,
    0.319251149892807,
    0.3341852277517319,
    0.3397342264652252,
    0.3072824031114578,
    0.24372045695781708,
    0.18502803146839142,
    0.15453274548053741,
    0.15120290219783783,
    0.10360616445541382,
    0.09052139520645142,
    0.06904582679271698,
    0.04309074580669403,
    0.020139619708061218,
    -0.017552539706230164,
    -0.036782532930374146,
    -0.058991238474845886,
    -0.06437891721725464,
    -0.03373236954212189,
    0.027937188744544983,
    0.07060554623603821,
    0.11902762949466705,
    0.08960172533988953,
    0.08464962244033813,
    0.033022016286849976,
    -0.0037649720907211304,
    -0.007154598832130432,
    0.018448278307914734,
    0.08231551945209503,
    0.12739898264408112,
    0.16035236418247223,
    0.20633116364479065,
    0.19959641993045807,
    0.19065704941749573,
    0.17377851903438568,
    0.14693637192249298,
    0.0866660624742508,
    0.06573405861854553,
    0.0534815639257431,
    0.05404201149940491,
    0.03712408244609833,
    0.05802105367183685,
    0.09773586690425873,
    0.20516712963581085,
    0.2793906480073929,
    0.35045310854911804,
    0.3883761018514633,
    0.4070742577314377,
    0.4115958511829376,
    0.39633725583553314,
    0.3267882466316223,
    0.2468693107366562,
    0.185459166765213,
    0.1996234655380249,
    0.20581230521202087,
    0.20795534551143646,
    0.2105102837085724,
    0.23395054042339325,
    0.29172657430171967,
    0.397183820605278,
    0.4526025205850601,
    0.4430059641599655,
    0.3913033753633499,
    0.3189343065023422,
    0.28382885456085205,
    0.30166399478912354,
    0.2793532907962799,
    0.29889947175979614,
    0.27173009514808655,
    0.20763881504535675,
    0.15829113125801086,
    0.12908491492271423,
    0.13352681696414948,
    0.14265264570713043,
    0.13005727529525757,
    0.14444130659103394,
    0.18526551127433777,
    0.21988610923290253,
    0.2424589991569519,
    0.2396724969148636,
    0.1854110062122345,
    0.12396678328514099,
    0.05959559977054596,
    0.016490697860717773,
    0.04185883700847626,
    0.11780090630054474,
    0.2177048921585083,
    0.29967018961906433,
    0.3120056837797165,
    0.277116984128952,
    0.2232688069343567,
    0.18987037241458893,
    0.21802254021167755,
    0.2265341877937317,
    0.24913053214550018,
    0.25861452519893646,
    0.29083600640296936,
    0.3056245893239975,
    0.2737561762332916,
    0.2459024041891098,
    0.20132465660572052,
    0.17358696460723877,
    0.13068287074565887,
    0.0873621255159378,
    0.04547673463821411,
    0.0020550787448883057,
    0.014380216598510742,
    0.010144829750061035,
    0.01417975127696991,
    0.09747298061847687,
    0.20497074723243713,
    0.29683928191661835,
    0.33719785511493683,
    0.33234357833862305,
    0.2691209614276886,
    0.16695232689380646,
    0.13134606182575226,
    0.1557231992483139,
    0.1833946853876114,
    0.19617022573947906,
    0.2309761494398117,
    0.21759988367557526,
    0.2557912915945053,
    0.2797895520925522,
    0.2652936279773712,
    0.22324199974536896,
    0.1555372029542923,
    0.11096452176570892,
    0.10264000296592712,
    0.1291755884885788,
    0.1911211609840393,
    0.2564355880022049,
    0.2834375202655792,
    0.2761310189962387,
    0.2793034166097641,
    0.23547281324863434,
    0.22117921710014343,
    0.2595504969358444,
    0.3417368233203888,
    0.41141295433044434,
    0.41535812616348267,
    0.39088521897792816,
    0.28700608015060425,
    0.20535743236541748,
    0.18761371076107025,
    0.23567689955234528,
    0.31303977966308594,
    0.3859555572271347,
    0.4520058184862137,
    0.4341864734888077,
    0.3580370396375656,
    0.26781004667282104,
    0.21926584839820862,
    0.19479335844516754,
    0.1669250726699829,
    0.13262256979942322,
    0.1614910364151001,
    0.21858526766300201,
    0.3105635344982147,
    0.3751629441976547,
    0.42155906558036804,
    0.37694743275642395,
    0.3486516773700714,
    0.3124879002571106,
    0.2978822737932205,
    0.3239295184612274,
    0.3617844432592392,
    0.3797193765640259,
    0.386638805270195,
    0.36506956815719604,
    0.3362298011779785,
    0.2833583354949951,
    0.2737496942281723,
    0.2732168436050415,
    0.2830687165260315,
    0.3236086070537567,
    0.3953103870153427,
    0.4244508296251297,
    0.3440053015947342,
    0.22028079628944397,
    0.14718903601169586,
    0.18118003010749817,
    0.2656771391630173,
    0.3125247061252594,
    0.3633984923362732,
    0.37257686257362366,
    0.39998695254325867,
    0.422802671790123,
    0.45664140582084656,
    0.45483943819999695,
    0.46687038242816925,
    0.5083308070898056,
    0.5134957581758499,
    0.4701692909002304,
    0.37875306606292725,
    0.32062092423439026,
    0.28293853998184204,
    0.24656271934509277,
    0.25594884157180786,
    0.24128934741020203,
    0.27572645246982574,
    0.2926206439733505,
    0.2719508111476898,
    0.26891735196113586,
    0.2876534163951874,
    0.3118065446615219,
    0.34785057604312897,
    0.38761506974697113,
    0.4028549939393997,
    0.35506683588027954,
    0.3511291593313217,
    0.3044164478778839,
    0.272967129945755,
    0.1859322339296341,
    0.16320787370204926,
    0.14717452228069305,
    0.17359887063503265,
    0.1931048035621643,
    0.19247514009475708,
    0.19972801208496094,
    0.250576913356781,
    0.2809513211250305,
    0.32567860186100006,
    0.3541911840438843,
    0.3694338947534561,
    0.35162460803985596,
    0.3136347681283951,
    0.25292064249515533,
    0.19767069816589355,
    0.11921560764312744,
    0.06374391913414001,
    0.034311115741729736,
    0.05878494679927826,
    0.08149181306362152,
    0.14961306750774384,
    0.17663730680942535,
    0.18325401842594147,
    0.15334025025367737,
    0.14402423799037933,
    0.14892695844173431,
    0.16618439555168152,
    0.13719676434993744,
    0.16082249581813812,
    0.15333344042301178,
    0.14811277389526367,
    0.16898205876350403,
    0.2321459949016571,
    0.2926434129476547,
    0.3287139981985092,
    0.32791636884212494,
    0.26943567395210266,
    0.21094030141830444,
    0.13269805908203125,
    0.04848185181617737,
    0.04307664930820465,
    0.07428513467311859,
    0.1572551280260086,
    0.2586258500814438,
    0.2997303158044815,
    0.2526255398988724,
    0.17480601370334625,
    0.12344510853290558,
    0.07392837107181549,
    0.05482913553714752,
    0.07418882846832275,
    0.10117508471012115,
    0.14643453061580658,
    0.1797846406698227,
    0.24360930919647217,
    0.2798940986394882,
    0.31443655490875244,
    0.33133111894130707,
    0.31861914694309235,
    0.2400958389043808,
    0.12434256076812744,
    0.03251327574253082,
    0.0017488300800323486,
    0.07429523766040802,
    0.13724854588508606,
    0.19438816606998444,
    0.20740573108196259,
    0.17337898910045624,
    0.16791032254695892,
    0.14133909344673157,
    0.10983632504940033,
    0.11302237212657928,
    0.11403022706508636,
    0.1355392038822174,
    0.14140193164348602,
    0.15178804099559784,
    0.11815036833286285,
    0.08445240557193756,
    0.08941538631916046,
    0.12930269539356232,
    0.1123167872428894,
    0.10148359835147858,
    0.10480757057666779,
    0.13696373999118805,
    0.1345096379518509,
    0.12535548210144043,
    0.12771941721439362,
    0.13975735008716583,
    0.15714611113071442,
    0.11693008244037628,
    0.11735369265079498,
    0.1327633261680603,
    0.17296743392944336,
    0.2492775022983551,
    0.3227345198392868,
    0.3544057607650757,
    0.371273472905159,
    0.37659935653209686,
    0.31949420273303986,
    0.2864723950624466,
    0.28366565704345703,
    0.2596425861120224,
    0.21713031828403473,
    0.18120218813419342,
    0.1676248013973236,
    0.12090162932872772,
    0.08292590081691742,
    0.11056242883205414,
    0.13365063071250916,
    0.1819397658109665,
    0.18308474123477936,
    0.17313840985298157,
    0.1195870190858841,
    0.08409114181995392,
    0.09140513837337494,
    0.12725959718227386,
    0.15004126727581024,
    0.1754024177789688,
    0.14496956765651703,
    0.053524211049079895,
    -0.010388687252998352,
    -0.0018528103828430176,
    0.09917798638343811,
    0.20392225682735443,
    0.2908838242292404,
    0.34575308859348297,
    0.3335806429386139
  ],
  "helix": [
    0.4674892798066139,
    0.44835952669382095,
    0.40835288912057877,
    0.3460588827729225,
    0.26044563204050064,
    0.171730674803257,
    0.09571114927530289,
    0.07296828180551529,
    0.10078207403421402,
    0.09342686086893082,
    0.03969863802194595,
    0.05380777269601822,
    0.06639615446329117,
    0.03797987848520279,
    0.03835038095712662,
    0.06770140677690506,
    0.15720770508050919,
    0.267306056804955,
    0.42057872097939253,
    0.5244951993227005,
    0.5982922222465277,
    0.6388503881171346,
    0.6982522830367088,
    0.7977853426709771,
    0.8608396090567112,
    0.8739739684388041,
    0.8800605498254299,
    0.8454390773549676,
    0.801478567533195,
    0.7403647601604462,
    0.6049414174631238,
    0.4952579066157341,
    0.36937419697642326,
    0.27661730628460646,
    0.18366478942334652,
    0.0953389136120677,
    0.0688507379963994,
    0.1288984464481473,
    0.18139099050313234,
    0.16499934066087008,
    0.17685830872505903,
    0.2258021580055356,
    0.2541619287803769,
    0.3078341083601117,
    0.3802027301862836,
    0.4145739870145917,
    0.42732343543320894,
    0.48288043309003115,
    0.479454536922276,
    0.4669227199628949,
    0.41545723378658295,
    0.43034136295318604,
    0.42939214408397675,
    0.3661308027803898,
    0.2856002626940608,
    0.27167658507823944,
    0.2716813236474991,
    0.22913473937660456,
    0.16411268711090088,
    0.16961159836500883,
    0.20602326095104218,
    0.23802971839904785,
    0.2554764710366726,
    0.27773032058030367,
    0.2830751659348607,
    0.26866616774350405,
    0.183321843855083,
    0.1778345862403512,
    0.19834568817168474,
    0.25218905322253704,
    0.26717312447726727,
    0.2854662789031863,
    0.3194099245592952,
    0.38557375967502594,
    0.46164076030254364,
    0.49266218580305576,
    0.46899706590920687,
    0.4145579943433404,
    0.4261631965637207,
    0.40599472541362047,
    0.3866624990478158,
    0.358892347663641,
    0.2702917456626892,
    0.18075227737426758,
    0.08159712422639132,
    0.007565158419311047,
    -0.025013670325279236,
    0.024876967072486877,
    0.07451402582228184,
    0.12670619785785675,
    0.22152704000473022,
    0.2512062815949321,
    0.3077207254245877,
    0.33953842986375093,
    0.33013614639639854,
    0.32732297014445066,
    0.3164872983470559,
    0.3027520440518856,
    0.27001845836639404,
    0.2688908828422427,
    0.2684829216450453,
    0.28891344368457794,
    0.27019127830863,
    0.26987655460834503,
    0.27266092970967293,
    0.28037939965724945,
    0.3148734513670206,
    0.32489402312785387,
    0.373535861261189,
    0.36275894939899445,
    0.3692374834790826,
    0.3530449690297246,
    0.373506186529994,
    0.3466089190915227,
    0.32461030408740044,
    0.30334171652793884,
    0.23795192316174507,
    0.15614250674843788,
    0.10857962630689144,
    -0.0052408333867788315,
    -0.004839211702346802,
    0.021687468513846397,
    0.06667212024331093,
    0.09089221525937319,
    0.10655460972338915,
    0.15861215256154537,
    0.2295213919132948,
    0.33677793573588133,
    0.37864029966294765,
    0.38360678870230913,
    0.36362928710877895,
    0.39143937453627586,
    0.38077997229993343,
    0.34300052653998137,
    0.31057542003691196,
    0.3025028705596924,
    0.305596549063921,
    0.31773104704916477,
    0.29892492573708296,
    0.3058102997019887,
    0.3325446844100952,
    0.39445315301418304,
    0.3973002526909113,
    0.471068549901247,
    0.5086065214127302,
    0.5261140204966068,
    0.5372119192034006,
    0.5337020345032215,
    0.4937145318835974,
    0.43386385217309,
    0.34978608787059784,
    0.3102952213957906,
    0.349250809289515,
    0.3612203476950526,
    0.3522687377408147,
    0.3057490410283208,
    0.2850092500448227,
    0.25128747802227736,
    0.159279003739357,
    0.11053882073611021,
    0.10485931020230055,
    0.13567123841494322,
    0.21657387912273407,
    0.2375213708728552,
    0.25636009871959686,
    0.27594640851020813,
    0.33021793235093355,
    0.36034062039107084,
    0.3897021599113941,
    0.4094129530712962,
    0.40301149897277355,
    0.38916703779250383,
    0.33210051991045475,
    0.2751062512397766,
    0.20824700128287077,
    0.18230336904525757,
    0.1432350818067789,
    0.14164050482213497,
    0.15986057743430138,
    0.134032073430717,
    0.1053950684145093,
    0.08374574594199657,
    0.05996027868241072,
    -0.014477565884590149,
    -0.048375168815255165,
    -0.0703157065436244,
    -0.01445627212524414,
    0.05994806904345751,
    0.1075102835893631,
    0.1415139138698578,
    0.16964988969266415,
    0.2031930284574628,
    0.1659383475780487,
    0.10138375498354435,
    -0.043241907842457294,
    -0.17326343059539795,
    -0.23194939270615578,
    -0.29101988673210144,
    -0.30833473335951567,
    -0.3312799669802189,
    -0.35217924416065216,
    -0.32261412125080824,
    -0.23146474361419678,
    -0.10943545401096344,
    0.03627251088619232,
    0.13768879882991314,
    0.17823716439306736,
    0.17456388007849455,
    0.18785282038152218,
    0.2234453009441495,
    0.2453888338059187,
    0.3253925386816263,
    0.3108141627162695,
    0.3662094948813319,
    0.4215480387210846,
    0.4348971424624324,
    0.42983989138156176,
    0.42828160524368286,
    0.4719307962805033,
    0.48988989274948835,
    0.5057965405285358,
    0.5311455456539989,
    0.5100323092192411,
    0.5140739427879453,
    0.4664660580456257,
    0.3889337070286274,
    0.32681930996477604,
    0.2253025770187378,
    0.16530895046889782,
    0.09736671019345522,
    0.011283752508461475,
    -0.036133045330643654,
    0.08704098872840405,
    0.2821871070191264,
    0.39955159090459347,
    0.4565126411616802,
    0.5340756895020604,
    0.5565607510507107,
    0.5391724752262235,
    0.5528844641521573,
    0.5406963927671313,
    0.5450839893892407,
    0.49348309449851513,
    0.49415482580661774,
    0.4864465706050396,
    0.4327331753447652,
    0.4170571118593216,
    0.36834488809108734,
    0.31441664323210716,
    0.31315529625862837,
    0.2825630037114024,
    0.2887302692979574,
    0.32535972259938717,
    0.3866816908121109,
    0.3532414985820651,
    0.3548600822687149,
    0.3734113918617368,
    0.4161042021587491,
    0.4621651591733098,
    0.4661511369049549,
    0.44578523375093937,
    0.4545275615528226,
    0.4420756297186017,
    0.44208425004035234,
    0.43106377217918634,
    0.3798022149130702,
    0.3129157545045018,
    0.1844479264691472,
    0.11574065685272217,
    0.0990809379145503,
    0.07321871817111969,
    0.0834983391687274,
    0.19772719126194715,
    0.312797705642879,
    0.39177000150084496,
    0.40355568192899227,
    0.3909068666398525,
    0.36158521194010973,
    0.36339955031871796,
    0.3732217587530613,
    0.3451939858496189,
    0.3128080628812313,
    0.30154809169471264,
    0.2775662802159786,
    0.2364351199939847,
    0.1789730191230774,
    0.14334462862461805,
    0.1591574102640152,
    0.18915623053908348,
    0.21931653004139662,
    0.29587558284401894,
    0.32955652941018343,
    0.3805894060060382,
    0.3326868303120136,
    0.2794794989749789,
    0.252251997590065,
    0.2253294698894024,
    0.17532062251120806,
    0.1265968680381775,
    0.0775678725913167,
    -0.0029556453227996826,
    -0.06609240174293518,
    -0.03994613513350487,
    0.015280204825103283,
    0.0696384608745575,
    0.15430337190628052,
    0.2253093309700489,
    0.3022002223879099,
    0.3632591478526592,
    0.36440193466842175,
    0.40518416557461023,
    0.4414101270958781,
    0.45389009080827236,
    0.5101659800857306,
    0.5280228657647967,
    0.47576576098799706,
    0.4216261189430952,
    0.3709026277065277,
    0.3898901166394353,
    0.4146828353404999,
    0.41942070703953505,
    0.41520002018660307,
    0.4035470448434353,
    0.3655266324058175,
    0.3377285869792104,
    0.3380081206560135,
    0.35301267821341753,
    0.3829104099422693,
    0.46904362738132477,
    0.4968893276527524,
    0.47267492581158876,
    0.4800086719915271,
    0.42928454745560884,
    0.3674964588135481,
    0.2862719502300024,
    0.2132929740473628,
    0.19926609564572573,
    0.14312499482184649,
    0.0650131655856967,
    0.10278153233230114,
    0.18137581180781126,
    0.1978499498218298,
    0.18171766959130764,
    0.16263816133141518,
    0.19192333240061998,
    0.20085483603179455,
    0.2502724723890424,
    0.25399645045399666,
    0.3051185794174671,
    0.2727118982002139,
    0.2834761291742325,
    0.27975099347531796,
    0.25912797171622515,
    0.249850794672966,
    0.19181670248508453,
    0.13916057348251343,
    0.11093899328261614,
    0.11570096295326948,
    0.16042847745120525,
    0.2280674623325467,
    0.3180210590362549,
    0.3280597887933254,
    0.3571607619524002,
    0.4382387502118945,
    0.42110832408070564,
    0.39304772950708866,
    0.3568225987255573,
    0.28968400973826647,
    0.2077578492462635,
    0.182895814999938,
    0.1022217245772481,
    0.10656727850437164,
    0.17799063306301832,
    0.2957593323662877,
    0.3562745628878474,
    0.3816720647737384,
    0.364695536904037,
    0.27844512090086937,
    0.22324115503579378,
    0.22106040455400944,
    0.2811513729393482,
    0.31086790654808283,
    0.29726467560976744,
    0.31145422626286745,
    0.276134978979826,
    0.27018560469150543,
    0.21974912006407976,
    0.11234104633331299,
    0.04559461399912834,
    -0.01424447912722826,
    -0.09446457494050264,
    -0.12718812748789787,
    -0.06190871074795723,
    -0.0182513315230608,
    0.0041835010051727295,
    0.0020511895418167114,
    0.09723653178662062,
    0.16516883950680494,
    0.22032691538333893,
    0.26204038690775633,
    0.23605746496468782,
    0.26149817183613777,
    0.24255652725696564,
    0.23252843879163265,
    0.21807284746319056,
    0.20943908020853996,
    0.18606427684426308,
    0.16258002445101738,
    0.15020350832492113,
    0.1786634949967265,
    0.24446178693324327,
    0.2572731049731374,
    0.2857270687818527,
    0.25573464948683977,
    0.24327983986586332,
    0.2632284313440323,
    0.29557446856051683,
    0.3394261933863163,
    0.42407000344246626,
    0.45580199733376503,
    0.4887203387916088,
    0.5460505532100797,
    0.5751006286591291,
    0.5674362629652023,
    0.5196823179721832,
    0.48762903921306133,
    0.46990515291690826,
    0.4190223040059209,
    0.41578618716448545,
    0.38910602033138275,
    0.42745373118668795,
    0.4694233499467373,
    0.48442950285971165,
    0.5041135651990771,
    0.49310990888625383,
    0.49784785136580467,
    0.4922970272600651,
    0.43965658638626337,
    0.39614060148596764,
    0.33399118948727846,
    0.29812655225396156,
    0.24244383070617914,
    0.15863356366753578,
    0.15391071140766144,
    0.14378448389470577,
    0.14014274440705776,
    0.10746099520474672,
    0.09143542964011431,
    0.07189840637147427,
    0.18930047564208508,
    0.37576681189239025,
    0.4910117890685797,
    0.5272364588454366,
    0.5418381690979004,
    0.5822159014642239,
    0.5677854446694255,
    0.5403825687244534,
    0.4890661146491766,
    0.42958441749215126,
    0.3298617545515299,
    0.29453708231449127,
    0.22692211903631687,
    0.1551498742774129,
    0.16817840561270714,
    0.17460893094539642,
    0.15518572553992271,
    0.15984297078102827,
    0.15814057271927595,
    0.23789306450635195,
    0.3345645423978567,
    0.4202810674905777,
    0.4539246391505003,
    0.4499991685152054,
    0.4906588941812515,
    0.47804694902151823,
    0.42675696685910225,
    0.32553321588784456,
    0.2364232214167714,
    0.1863975115120411,
    0.18742352165281773,
    0.18100681621581316,
    0.20675495639443398,
    0.27817322593182325,
    0.29685593862086535,
    0.27521951775997877,
    0.17996855080127716,
    0.12729801516979933,
    0.16437864303588867,
    0.17535559367388487,
    0.15766846854239702,
    0.1786529328674078,
    0.20872540306299925,
    0.21607462037354708,
    0.21899675950407982,
    0.1549981590360403,
    0.09740753751248121,
    0.051159439608454704,
    -0.01855532545596361,
    -0.01878772210329771,
    0.03600278776139021,
    0.046380458399653435,
    0.011579442769289017,
    -0.04076381027698517,
    -0.04831739794462919,
    -0.026135397143661976,
    0.026456713676452637,
    0.05743139609694481,
    0.09181046020239592,
    0.17520733550190926,
    0.19486770406365395,
    0.18907793425023556,
    0.14764951542019844,
    0.11519328691065311,
    0.1452302634716034,
    0.1503663118928671,
    0.12540036160498857,
    0.07828724663704634,
    0.11211496312171221,
    0.08863196801394224,
    0.09040805697441101,
    0.05276345647871494,
    0.03010697942227125,
    -0.030863165855407715,
    -0.022002135403454304,
    0.04702183976769447,
    0.08604561723768711,
    0.12721094116568565,
    0.11552869901061058,
    0.163275514729321,
    0.20815742015838623,
    0.2815370140597224,
    0.36713287234306335,
    0.41223670542240143,
    0.4378603519871831,
    0.4460665676742792,
    0.4422822268679738,
    0.431393981911242,
    0.3925954205915332,
    0.38386302813887596,
    0.35658194217830896,
    0.33326197881251574,
    0.30878621619194746,
    0.31173493899405,
    0.35253600403666496,
    0.3758011609315872,
    0.37559105549007654,
    0.34482014272361994,
    0.3512318376451731,
    0.29727050103247166,
    0.23312294483184814,
    0.15183909237384796,
    0.12274571880698204,
    0.0719477878883481,
    0.008978617377579212,
    -0.030599627643823624,
    0.04782521538436413,
    0.21658230293542147,
    0.3061090540140867,
    0.2937116203829646,
    0.29939916264265776,
    0.3377232877537608,
    0.34873349498957396,
    0.3732270793989301,
    0.4245747188106179,
    0.4435112960636616,
    0.4242756702005863,
    0.41273559629917145,
    0.3820803854614496,
    0.3048538537696004,
    0.24690663814544678,
    0.1873522251844406,
    0.14949651528149843,
    0.15074169915169477,
    0.16636053007096052,
    0.22926287818700075,
    0.3255106061697006,
    0.4061526916921139,
    0.36984915658831596,
    0.3650946170091629,
    0.37223916687071323,
    0.3563195802271366,
    0.3628157339990139,
    0.33974963799118996,
    0.2863921821117401,
    0.20945358742028475,
    0.1426368160173297,
    0.11507272440940142,
    0.09870177879929543,
    0.09260018449276686,
    0.04085169453173876,
    -0.04108403343707323,
    -0.010106192901730537,
    0.07802112679928541,
    0.1640204442664981,
    0.1532285613939166,
    0.16165437828749418,
    0.23474722169339657,
    0.29186814464628696,
    0.30425996612757444,
    0.2671874277293682,
    0.24649663548916578,
    0.2412106990814209,
    0.22556507214903831,
    0.21908399928361177,
    0.19774465542286634,
    0.15049353055655956,
    0.17682841420173645,
    0.16814171709120274,
    0.2435690714046359,
    0.2820807872340083,
    0.2917886972427368,
    0.31241982616484165,
    0.30834676418453455,
    0.3640335304662585,
    0.33316429425030947,
    0.2942437333986163,
    0.27638011053204536,
    0.18862667120993137,
    0.09514176845550537,
    0.01610145904123783,
    -0.022205295972526073,
    -0.0714670717716217,
    -0.14048928301781416,
    -0.1980355717241764,
    -0.25033947825431824,
    -0.23630830366164446,
    -0.15487170685082674,
    -0.018921703100204468,
    0.05560921598225832,
    0.08325617481023073,
    0.07150411233305931,
    0.06103714928030968,
    0.05286131426692009,
    0.04377130139619112,
    0.02532254159450531,
    -0.009533703327178955,
    0.007860854268074036,
    -0.011650259606540203,
    0.007978782057762146,
    0.045338403433561325,
    0.08984464034438133,
    0.12478545308113098,
    0.14296331629157066,
    0.13922430854290724,
    0.11172166746109724,
    0.07577743660658598,
    0.007680689916014671,
    -0.08556811418384314,
    -0.12873596232384443,
    -0.11358542740345001,
    -0.07059949915856123,
    0.025787394493818283,
    0.07943466305732727,
    0.12091822642832994,
    0.09973571076989174,
    0.16305236611515284,
    0.1826526764780283,
    0.21065459586679935,
    0.21990658901631832,
    0.19412327744066715,
    0.1739661293104291,
    0.1595070930197835,
    0.12766697071492672,
    0.13282616157084703,
    0.16487474273890257,
    0.23693683743476868,
    0.3013637540861964,
    0.3538173548877239,
    0.3476952277123928,
    0.3576213074848056,
    0.38199829775840044,
    0.39278514217585325,
    0.35200789012014866,
    0.2453489936888218,
    0.19821117259562016,
    0.1537734568119049,
    0.11827639117836952,
    0.1258762152865529,
    0.049212098121643066,
    0.005564138293266296,
    -0.03801587224006653,
    0.08139399159699678,
    0.200351782143116,
    0.283356498926878,
    0.25352338422089815,
    0.27629290893673897,
    0.3665592633187771,
    0.4994300343096256,
    0.5544169172644615,
    0.5377374924719334,
    0.5141519559547305,
    0.50289495754987,
    0.47957852110266685,
    0.42672109324485064,
    0.36002188734710217,
    0.3039708314463496,
    0.19014289695769548,
    0.08877899032086134,
    0.11841671448200941,
    0.17155231814831495,
    0.23041452001780272,
    0.24983576964586973,
    0.30684490129351616,
    0.3918651966378093,
    0.4106416907161474,
    0.38444086723029613,
    0.3137412779033184,
    0.2362324595451355,
    0.1660906821489334,
    0.07733594998717308,
    0.05906628165394068,
    0.1346036158502102,
    0.14245043694972992,
    0.15745968651026487,
    0.09130268916487694,
    0.12834178190678358,
    0.1495715705677867,
    0.174179807305336,
    0.23959075845777988,
    0.30223584175109863,
    0.3332281745970249,
    0.33015880454331636,
    0.2829401697963476,
    0.26876810658723116,
    0.202340891584754,
    0.1264786571264267,
    0.03889994043856859,
    -0.06022548954933882,
    -0.07329994160681963,
    0.013426658697426319,
    0.10783819388598204,
    0.1890619397163391,
    0.17545488104224205,
    0.2340740980580449,
    0.2818308472633362,
    0.3395638819783926,
    0.40475328732281923,
    0.4137781225144863,
    0.43302325531840324,
    0.4225693913176656,
    0.46233625803142786,
    0.4774133013561368,
    0.5062322616577148,
    0.5247013419866562,
    0.5142527548596263,
    0.501677718013525,
    0.5709912506863475,
    0.5885648904368281,
    0.5462418841198087,
    0.47009874414652586,
    0.40518795885145664,
    0.3748568193987012,
    0.3358934046700597,
    0.3684580307453871,
    0.42383774649351835,
    0.4407896213233471,
    0.4751055836677551,
    0.4510453538969159,
    0.38863559532910585,
    0.33972554840147495,
    0.281791839748621,
    0.26795652508735657,
    0.20918497536331415,
    0.16597374062985182,
    0.14984556008130312,
    0.14360488951206207,
    0.1081662829965353,
    0.10512482188642025,
    0.1349213570356369,
    0.1674466459080577,
    0.18724025413393974,
    0.244067270308733,
    0.27795471623539925,
    0.24808872770518064,
    0.24463922251015902,
    0.2217909675091505,
    0.2353941509500146,
    0.14162640273571014,
    0.06635737419128418,
    -0.04541902430355549,
    -0.137125494889915,
    -0.18865951895713806,
    -0.2557107210159302,
    -0.36133873462677,
    -0.3548260284587741,
    -0.28815965820103884,
    -0.1414998173713684,
    0.051359592005610466,
    0.22364518325775862,
    0.3148077391088009,
    0.3985288739204407,
    0.43115598522126675,
    0.4253806658089161,
    0.3826426388695836,
    0.287808851338923,
    0.22572026774287224,
    0.1543309548869729,
    0.0956772156059742,
    0.0537233529612422,
    0.06147603690624237,
    0.0787984374910593,
    0.058349001221358776,
    -0.024015581235289574,
    -0.04356376547366381,
    -0.033245411701500416,
    -0.01732997503131628,
    0.014394293539226055,
    0.06890085153281689,
    0.14784375857561827,
    0.18372574914246798,
    0.2081648511812091,
    0.2465609572827816,
    0.23411032930016518,
    0.18834964465349913,
    0.07838953658938408,
    -0.004817452281713486,
    -0.008916002698242664,
    0.05602183751761913,
    0.05230813939124346,
    0.022152844816446304,
    0.015440195798873901,
    0.07924314122647047,
    0.1392936408519745,
    0.18862366117537022,
    0.20669032260775566,
    0.18858853355050087,
    0.17934229969978333,
    0.11661030445247889,
    0.039296139031648636,
    -0.01564966607838869,
    -0.07466456294059753,
    -0.07605357747524977,
    0.029277893714606762,
    0.16667005699127913,
    0.18503620009869337,
    0.21917180716991425,
    0.21536379121243954,
    0.2809796081855893,
    0.32912425696849823,
    0.3299880353733897,
    0.34610991552472115,
    0.3725577536970377,
    0.4262319253757596,
    0.4380609802901745,
    0.4424425410106778,
    0.4380365274846554,
    0.4228730648756027,
    0.3714068531990051,
    0.3435448380187154,
    0.3434480903670192,
    0.40422344766557217,
    0.403854563832283,
    0.4382367180660367,
    0.44355667661875486,
    0.41737307235598564,
    0.37092742789536715,
    0.3158323587849736,
    0.2882852405309677,
    0.317202840000391,
    0.38557712361216545,
    0.5002361088991165,
    0.532276232726872,
    0.5138228135183454,
    0.49926633667200804,
    0.4178547952324152,
    0.3222567932680249,
    0.22223099134862423,
    0.14962877612560987,
    0.0935448007658124,
    0.039780315943062305,
    0.041187962517142296,
    0.15059472434222698,
    0.305557613261044,
    0.39862719643861055,
    0.38789914548397064,
    0.42696942668408155,
    0.4628821797668934,
    0.47821778524667025,
    0.460881007835269,
    0.4549162583425641,
    0.4269214551895857,
    0.3569646365940571,
    0.3226007279008627,
    0.2787915766239166,
    0.21385154128074646,
    0.15273291990160942,
    0.11524507403373718,
    0.05502507463097572,
    0.026178005151450634,
    -0.018125650472939014,
    -0.003490552306175232,
    0.05734481941908598,
    0.056314244866371155,
    0.02941814437508583,
    0.03649277985095978,
    0.08239801786839962,
    0.19111152365803719,
    0.2799579259008169,
    0.3047822304069996,
    0.2822576956823468,
    0.2556861685588956,
    0.1896565379574895,
    0.09462266881018877,
    0.02475239709019661,
    0.03153153043240309,
    -0.010876866988837719,
    -0.0661952318623662,
    -0.07108872011303902,
    -0.020596963353455067,
    0.009627163410186768,
    0.027831236831843853,
    0.11227794270962477,
    0.22175244987010956,
    0.2768558142706752,
    0.31104698590934277,
    0.317315679974854,
    0.2856136951595545,
    0.2014339454472065,
    0.1165315555408597,
    0.04220155347138643,
    0.04976493399590254,
    0.01971318107098341,
    0.019819709472358227,
    0.00156385637819767,
    0.0059590935707092285,
    0.032269018702208996,
    0.1038159728050232,
    0.1979444269090891,
    0.22942674439400434,
    0.28633846435695887,
    0.3458472453057766,
    0.35753711499273777,
    0.3522016750648618,
    0.2681999411433935,
    0.12614770233631134,
    0.0008842693641781807,
    -0.12572662811726332,
    -0.16121113020926714,
    -0.20981562417000532,
    -0.21364593878388405,
    -0.20397093892097473,
    -0.17677640542387962,
    -0.17054561991244555,
    -0.15322628989815712,
    -0.06402569450438023,
    0.0010069645941257477,
    0.08128389157354832,
    0.14351683389395475,
    0.22271298803389072,
    0.31126986909657717,
    0.35219353903084993,
    0.30045294761657715,
    0.20308274030685425,
    0.10042460262775421,
    0.030806005001068115,
    -0.04835660755634308,
    -0.1868491768836975,
    -0.23336871434003115,
    -0.24862579070031643,
    -0.23797298595309258,
    -0.2162532089278102,
    -0.10099950153380632,
    0.05888223089277744,
    0.2454302404075861,
    0.38563215732574463,
    0.4262339295819402,
    0.4455845095217228,
    0.4502145554870367,
    0.399148260243237,
    0.30050686467438936,
    0.18571998737752438,
    0.09095999877899885,
    -0.030766825191676617,
    -0.14057773351669312,
    -0.2283794702962041,
    -0.1589650996029377,
    -0.019631296396255493,
    0.04141199588775635,
    0.04164849501103163,
    0.09137333929538727,
    0.18094986397773027,
    0.18857489340007305,
    0.232372616417706,
    0.2379132192581892,
    0.2289030896499753,
    0.23564588837325573,
    0.23619993031024933,
    0.2511026170104742,
    0.20961904246360064,
    0.1988949179649353,
    0.15733860433101654,
    0.09757077321410179,
    0.08605563919991255,
    0.08034032862633467,
    0.08537039719522,
    0.03716837801039219,
    0.024017419666051865,
    0.042263162322342396,
    0.06103242468088865,
    0.00885905884206295,
    -0.041981215588748455,
    -0.02865544892847538,
    0.05146944895386696,
    0.07762979343533516,
    0.09600037708878517,
    0.1249700291082263,
    0.1054418059065938,
    0.04183043912053108,
    0.04200015962123871,
    0.03479231335222721,
    0.038492387160658836,
    0.025757715106010437,
    0.014200468547642231,
    0.05715203285217285,
    0.11757210176438093,
    0.2093163337558508,
    0.2654095394536853,
    0.3384682862088084,
    0.4146193377673626,
    0.47347092907875776,
    0.49099292792379856,
    0.47377365455031395,
    0.4220725055783987,
    0.32592352107167244,
    0.19442465621978045,
    0.06617480982095003,
    0.0065678684040904045,
    -0.0522906519472599,
    -0.10467067360877991,
    -0.1689953114837408,
    -0.10315017960965633,
    0.01604980230331421,
    0.16921913623809814,
    0.2821895871311426,
    0.3565965695306659,
    0.37166856601834297,
    0.36645201314240694,
    0.3694037301465869,
    0.34552137926220894,
    0.29570553731173277,
    0.21331530809402466,
    0.1447751773521304,
    0.15528428554534912,
    0.16899921279400587,
    0.16605037171393633,
    0.14403782784938812,
    0.09613892436027527,
    0.17632229905575514,
    0.27787153515964746,
    0.3104218188673258,
    0.32266319915652275,
    0.3037670822814107,
    0.3707766281440854,
    0.45675499737262726,
    0.5676675587892532,
    0.6587146203964949,
    0.6962569057941437,
    0.6580196470022202,
    0.659881841391325,
    0.6580741964280605,
    0.6416766671463847,
    0.6501603526994586,
    0.6492835283279419,
    0.702736740000546,
    0.7001610230654478,
    0.709633725695312,
    0.6715962095186114,
    0.6522448472678661,
    0.6556117534637451,
    0.6212832489982247,
    0.5612617181614041,
    0.5136599848046899,
    0.4326626993715763,
    0.37573311291635036,
    0.32938195765018463,
    0.3203859478235245,
    0.29606779385358095,
    0.31521488446742296,
    0.3438426312059164,
    0.39115738682448864,
    0.4088328927755356,
    0.3958033425733447,
    0.37358553521335125,
    0.29749073553830385,
    0.213851448148489,
    0.17466737423092127,
    0.19679558742791414,
    0.2397294119000435,
    0.26727112010121346,
    0.370394011028111,
    0.4104255884885788,
    0.4446488507091999,
    0.42871521040797234,
    0.44739991426467896,
    0.4121593348681927,
    0.3306647911667824,
    0.2709892839193344,
    0.2682653795927763,
    0.21011870075017214,
    0.1556004285812378,
    0.10651605855673552,
    0.08434403967112303,
    0.14216494001448154,
    0.1943630874156952,
    0.15343267656862736,
    0.1849321871995926,
    0.18824774958193302,
    0.2447604276239872,
    0.35840599797666073,
    0.4233408458530903,
    0.4216613434255123,
    0.4322949508205056,
    0.43702707160264254,
    0.4137094793841243,
    0.333524058572948,
    0.22002230864018202,
    0.06564856879413128,
    -0.0574229983612895,
    -0.08117722347378731,
    -0.02275544125586748,
    -0.03668537177145481,
    -0.03418379556387663,
    0.011906798928976059,
    0.06060555391013622,
    0.12597426492720842,
    0.1326529709622264,
    0.13556026853621006,
    0.181832785718143,
    0.19246648717671633,
    0.1766456812620163,
    0.13335129991173744,
    0.1409062296152115,
    0.09356882981956005,
    0.06073402147740126,
    0.014774824492633343,
    0.07224071305245161,
    0.09149284940212965,
    0.11726164817810059,
    0.13900482095777988,
    0.1775129996240139,
    0.2667473293840885,
    0.31520718336105347,
    0.3674712385982275,
    0.3986787088215351,
    0.40488393139094114,
    0.39585575461387634,
    0.3790732119232416,
    0.4193836571648717,
    0.4556510653346777,
    0.4479296775534749,
    0.4597573094069958,
    0.4587040841579437,
    0.44647893588989973,
    0.34903510194271803,
    0.26876595616340637,
    0.15916836820542812,
    0.09066312480717897,
    0.058899397030472755,
    0.04131903871893883,
    0.02408098801970482,
    0.059632633812725544,
    0.1253612143918872,
    0.17549895774573088,
    0.27365795243531466,
    0.3468349240720272,
    0.4079780112951994,
    0.45013823825865984,
    0.4791230671107769,
    0.5024638548493385,
    0.5030062198638916,
    0.5390669954940677,
    0.536887725815177,
    0.5280669340863824,
    0.48928834218531847,
    0.4776996998116374,
    0.4710759622976184,
    0.4946002159267664,
    0.46872833371162415,
    0.46231761388480663,
    0.40427814796566963,
    0.36161252297461033,
    0.26248914934694767,
    0.17409804929047823,
    0.0723022622987628,
    -0.08386457525193691,
    -0.1927631301805377,
    -0.2892432091757655,
    -0.36152092553675175,
    -0.2890614736825228,
    -0.15410721767693758,
    -0.10167806316167116,
    -0.0912046916782856,
    -0.08431916311383247,
    -0.01965177431702614,
    0.023113678209483624,
    0.09719463158398867,
    0.1937686400488019,
    0.30635106936097145,
    0.34215580951422453,
    0.33569084480404854,
    0.3235229505226016,
    0.2794988127425313,
    0.24766452610492706,
    0.17186741530895233,
    0.09921140596270561,
    0.062033372931182384,
    0.03320555668324232,
    0.07883400283753872,
    0.20933690294623375,
    0.3036429528146982,
    0.3576312456279993,
    0.384704053401947,
    0.38914346136152744,
    0.363079983741045,
    0.34610940236598253,
    0.2932007797062397,
    0.22438301146030426,
    0.13645755127072334,
    0.0716530429199338,
    -0.01489949505776167,
    -0.08998396527022123,
    -0.10458759684115648,
    -0.027416515164077282,
    -0.008026880212128162,
    -0.054948437958955765,
    -0.07502399105578661,
    -0.06355499289929867,
    -0.08115764427930117,
    -0.13757995795458555,
    -0.23907573986798525,
    -0.20202603936195374,
    -0.13841882720589638,
    -0.09046709537506104,
    -0.0634552538394928,
    -0.0070945024490356445,
    0.08687768876552582,
    0.140273779630661,
    0.18994422256946564,
    0.19899556506425142,
    0.17989516537636518,
    0.1266815522685647,
    0.07656000088900328,
    0.03755258396267891,
    0.07186976354569197,
    0.12424850184470415,
    0.12633629702031612,
    0.11065076664090157,
    0.08299912791699171,
    0.08863534312695265,
    0.09665834903717041,
    0.11744762398302555,
    0.18976903427392244,
    0.2356235720217228,
    0.20145555771887302,
    0.12359651364386082,
    0.06299183238297701,
    0.021339128725230694,
    -0.017089366912841797,
    0.02024010568857193,
    0.07506407517939806,
    0.17298028152436018,
    0.22398256976157427,
    0.28632749430835247,
    0.2790655195713043,
    0.2404394131153822,
    0.1899029789492488,
    0.18180322647094727,
    0.22553432919085026,
    0.26645724568516016,
    0.2956093894317746,
    0.3368758521974087,
    0.35036146081984043,
    0.4264131532981992,
    0.4563027862459421,
    0.47037220001220703,
    0.47617851477116346,
    0.4909564256668091,
    0.5377605222165585,
    0.5375177394598722,
    0.49987990129739046,
    0.4620574815198779,
    0.41069793328642845,
    0.3419268475845456,
    0.30844460148364305,
    0.31848070304840803,
    0.33346102852374315,
    0.35341696068644524,
    0.3337599188089371,
    0.3455653917044401,
    0.35022709239274263,
    0.3426276193931699,
    0.3031022194772959,
    0.3101803958415985,
    0.2878786474466324,
    0.23777622263878584,
    0.1852510767057538,
    0.1120345601812005,
    0.06858470104634762,
    0.11110930144786835,
    0.2537056189030409,
    0.368591895326972,
    0.4202469764277339,
    0.4895279975607991,
    0.5642695389688015,
    0.636843878775835,
    0.69784623850137,
    0.6477752570062876,
    0.6139007555320859,
    0.5689427815377712,
    0.5414809733629227,
    0.4566691340878606,
    0.4073437424376607,
    0.39044518303126097,
    0.3582294434309006,
    0.2882247380912304,
    0.25615799706429243,
    0.21829802077263594,
    0.1653136070817709,
    0.0563419871032238,
    0.06465663015842438,
    0.1638493947684765,
    0.2413704739883542,
    0.30812118481844664,
    0.3436571406200528,
    0.3459900515154004,
    0.32401760295033455,
    0.24947434198111296,
    0.203155729919672,
    0.18354611564427614,
    0.18618615251034498,
    0.1465097777545452,
    0.13522756099700928,
    0.1612547691911459,
    0.20436884928494692,
    0.26337724924087524,
    0.28288319520652294,
    0.2887028930708766,
    0.31292796414345503,
    0.36175334732979536,
    0.4063722463324666,
    0.4129703091457486,
    0.42626409232616425,
    0.37086507491767406,
    0.30704822205007076,
    0.20024724025279284,
    0.16729559283703566,
    0.20372992753982544,
    0.24883495271205902,
    0.2339228419587016,
    0.17407788708806038,
    0.17850108724087477,
    0.13502370193600655,
    0.11466028168797493,
    0.09514803159981966,
    0.10832622088491917,
    0.09433922544121742,
    0.11187430657446384,
    0.15844792127609253,
    0.2011893391609192,
    0.23994804732501507,
    0.21968060731887817,
    0.1882938938215375,
    0.17835273407399654,
    0.2069547502323985,
    0.22249343991279602,
    0.23224490508437157,
    0.21081009972840548,
    0.1845479505136609,
    0.15096625685691833,
    0.11181017383933067,
    -0.006833743304014206,
    -0.07963094115257263,
    -0.11885887384414673,
    -0.0499562444165349,
    0.09838554076850414,
    0.2089236257597804,
    0.19789671897888184,
    0.2508271634578705,
    0.32371820881962776,
    0.44306451082229614,
    0.5060265511274338,
    0.5137108312919736,
    0.547644728794694,
    0.5420697592198849,
    0.5350276324898005,
    0.49187198746949434,
    0.49964262917637825,
    0.4829324334859848,
    0.4965226650238037,
    0.4403858929872513,
    0.320360672660172,
    0.25621338468044996,
    0.2605456244200468,
    0.27422308921813965,
    0.26454045809805393,
    0.24744055699557066,
    0.18884575366973877,
    0.13305578101426363,
    0.04164294619113207,
    0.07250379025936127,
    0.1662789136171341,
    0.25987784191966057,
    0.36485621333122253,
    0.4137538131326437,
    0.414535959251225,
    0.4282011352479458,
    0.4449053453281522,
    0.4456993043422699,
    0.35927887819707394,
    0.25457835476845503,
    0.1812406973913312,
    0.16806377191096544,
    0.17913525830954313,
    0.203737435862422,
    0.2247665375471115,
    0.2764568328857422,
    0.3331187544390559,
    0.3805498657748103,
    0.43649689946323633,
    0.4239239599555731,
    0.42271052300930023,
    0.4168380843475461,
    0.3925491217523813,
    0.3256734497845173,
    0.3047796692699194,
    0.2593340128660202,
    0.25978505425155163,
    0.2974284142255783,
    0.355213257484138,
    0.3697495311498642,
    0.3621496856212616,
    0.35879121720790863,
    0.3912678062915802,
    0.4755391627550125,
    0.5247001852840185,
    0.47341612447053194,
    0.484645520336926,
    0.4939101245254278,
    0.5259685404598713,
    0.613673816435039,
    0.6382395215332508,
    0.6270768297836185,
    0.5031720735132694,
    0.40499843191355467,
    0.2968724938109517,
    0.250412417575717,
    0.16638826113194227,
    0.14480514638125896,
    0.15386984962970018,
    0.23037117719650269,
    0.30626203399151564,
    0.360631987452507,
    0.39124492835253477,
    0.43667183816432953,
    0.46844043396413326,
    0.48624603170901537,
    0.4514558045193553,
    0.3813206600025296,
    0.35805514454841614,
    0.3323813723400235,
    0.2729501575231552,
    0.1919581489637494,
    0.06977436225861311,
    -0.0423953402787447,
    -0.09121030289679766,
    -0.15188680309802294,
    -0.14254564233124256,
    -0.05853067059069872,
    0.0692177414894104,
    0.21163640916347504,
    0.308588907122612,
    0.42663851846009493,
    0.47624218091368675,
    0.4928537253290415,
    0.5071324808523059,
    0.449473699554801,
    0.3784051388502121,
    0.3238746039569378,
    0.18929625768214464,
    0.06427164375782013,
    0.06709119398146868,
    0.14236781001091003,
    0.2654191879555583,
    0.3358471542596817,
    0.39613597374409437,
    0.39666456263512373,
    0.4416256658732891,
    0.4373268010094762,
    0.4380093105137348,
    0.3942516651004553,
    0.3637908361852169,
    0.35259037278592587,
    0.3525988357141614,
    0.3522533969953656,
    0.3347568567842245,
    0.3097760183736682,
    0.294778672978282,
    0.29847568552941084,
    0.28994967322796583,
    0.27164289727807045,
    0.26399660389870405,
    0.29251521825790405,
    0.3496832298114896,
    0.3561014737933874,
    0.3431046949699521,
    0.4016872616484761,
    0.5478223115205765,
    0.6728972103446722,
    0.7009251806885004,
    0.6840557754039764,
    0.6324816644191742,
    0.5822136597707868,
    0.5694804154336452,
    0.5214422792196274,
    0.4690530030056834,
    0.39360435865819454,
    0.3727494180202484,
    0.39696814585477114,
    0.4725297959521413,
    0.47785775922238827,
    0.4978316705673933,
    0.5342513862997293,
    0.5811774972826242,
    0.60610933881253,
    0.6153243184089661,
    0.6254805373027921,
    0.585542862303555,
    0.529582773335278,
    0.5121760712936521,
    0.42945991829037666,
    0.3937769513577223,
    0.3957992196083069,
    0.39001126028597355,
    0.32968318182975054,
    0.26663405261933804,
    0.20259096007794142,
    0.16180305182933807,
    0.19565120618790388,
    0.23569191992282867,
    0.22692562267184258,
    0.21547489427030087,
    0.19626369141042233,
    0.2021940853446722,
    0.28994326293468475,
    0.32158850133419037,
    0.3011982496827841,
    0.23229189589619637,
    0.25080424174666405,
    0.2996084541082382,
    0.29245018027722836,
    0.25892098620533943,
    0.23033599089831114,
    0.1938527561724186,
    0.1447379384189844,
    0.1616600574925542,
    0.16359221749007702,
    0.06765069346874952,
    -0.03957876842468977,
    -0.026522082276642323,
    0.05309756100177765,
    0.12294329982250929,
    0.19336773827672005,
    0.264478693716228,
    0.3149932026863098,
    0.33280881866812706,
    0.36298066657036543,
    0.33149024471640587,
    0.3014449533075094,
    0.2563598193228245,
    0.2000557091087103,
    0.20710687804967165,
    0.23011288326233625,
    0.26234511844813824,
    0.3085083784535527,
    0.3590521467849612,
    0.40648120921105146,
    0.4161786613985896,
    0.42229926586151123,
    0.43986654561012983,
    0.4333208203315735,
    0.42482104897499084,
    0.39258155692368746,
    0.3511492582038045,
    0.263411570340395,
    0.18358980491757393,
    0.0782223790884018,
    0.048117389902472496,
    0.048805234022438526,
    0.06245449464768171,
    0.1256044479086995,
    0.1573599772527814,
    0.17900940775871277,
    0.20218288712203503,
    0.20088785886764526,
    0.15902049839496613,
    0.1532577034085989,
    0.13621566072106361,
    0.15986904129385948,
    0.18587511405348778,
    0.18300729058682919,
    0.25682846177369356,
    0.2912551611661911,
    0.27226240560412407,
    0.24344243109226227,
    0.2445507049560547,
    0.3249596478417516,
    0.3479164093732834,
    0.3535508783534169,
    0.3641847623512149,
    0.38132559321820736,
    0.35502410400658846,
    0.33521510381251574,
    0.38089462742209435,
    0.37678780779242516,
    0.3727793488651514,
    0.3592129051685333,
    0.31733497977256775,
    0.2689258800819516,
    0.2569469027221203,
    0.20768863335251808,
    0.17998652532696724,
    0.12605281732976437,
    0.05259239953011274,
    0.007292826659977436,
    -0.05254718940705061,
    -0.11948131956160069,
    -0.07655029185116291,
    0.07372636627405882,
    0.15927227400243282,
    0.18274566531181335,
    0.21095801703631878,
    0.2610129388049245,
    0.2794218845665455,
    0.28333159256726503,
    0.28092717565596104,
    0.28766419366002083,
    0.25385313108563423,
    0.24538137018680573,
    0.24851242825388908,
    0.21055412013083696,
    0.17338719684630632,
    0.17480729520320892,
    0.1745089404284954,
    0.20955908577889204,
    0.20170904975384474,
    0.24578440748155117,
    0.31584497913718224,
    0.41254229843616486,
    0.4359318409115076,
    0.45725617837160826,
    0.49562590196728706,
    0.5526301907375455,
    0.565399894490838,
    0.561440248042345,
    0.5982913635671139,
    0.5823086835443974,
    0.5068812370300293,
    0.4250906081870198,
    0.2923501022160053,
    0.14685221295803785,
    -0.03452018182724714,
    -0.15515928156673908,
    -0.12416572868824005,
    -0.019423228688538074,
    0.07832551933825016,
    0.11892191600054502,
    0.18266215454787016,
    0.286476562730968,
    0.3240991337224841,
    0.32810050062835217,
    0.29320022091269493,
    0.26065198704600334,
    0.2016504742205143,
    0.15181918907910585,
    0.11555757094174623,
    0.1441416647285223,
    0.14780577830970287,
    0.1345813749358058,
    0.056643265299499035,
    0.022055047564208508,
    0.021488326601684093,
    0.049727022647857666,
    0.05341576971113682,
    -0.008603755384683609,
    -0.006172056309878826,
    -0.03281667362898588,
    -0.06113306246697903,
    -0.0772981895133853,
    -0.07842717505991459,
    -0.021143347024917603,
    0.08553714491426945,
    0.12523215729743242,
    0.15054849069565535,
    0.08744966704398394,
    0.052998144179582596,
    -0.006075769662857056,
    -0.006901845335960388,
    0.043212669901549816,
    0.07808518409729004,
    0.11948093306273222,
    0.16250136867165565,
    0.21879705227911472,
    0.30095189437270164,
    0.3755080997943878,
    0.4435606300830841,
    0.4660177268087864,
    0.4599158875644207,
    0.48623185977339745,
    0.4678254406899214,
    0.435752984136343,
    0.4660357339307666,
    0.4830477349460125,
    0.511089731939137,
    0.5181166799739003,
    0.5318717984482646,
    0.5183027656748891,
    0.4838933143764734,
    0.45947088301181793,
    0.4521368481218815,
    0.4346979456022382,
    0.43599399365484715,
    0.4187971446663141,
    0.3895930992439389,
    0.3008739557117224,
    0.18082624673843384,
    0.08121105004101992,
    -0.023344862274825573,
    -0.08142081834375858,
    -0.025616811588406563,
    0.10553359799087048,
    0.1583632929250598,
    0.11657126061618328,
    0.12179679982364178,
    0.1666830638423562,
    0.17097389977425337,
    0.2015792177990079,
    0.21885032393038273,
    0.24198313429951668,
    0.21652793511748314,
    0.19790340960025787,
    0.2162345154210925,
    0.222172019071877,
    0.1885115411132574,
    0.2257232517004013,
    0.20104160532355309,
    0.22204703371971846,
    0.20427920203655958,
    0.2113011134788394,
    0.26346049178391695,
    0.2626440767198801,
    0.2654577614739537,
    0.22722183540463448,
    0.2692988757044077,
    0.2826048471033573,
    0.33274210058152676,
    0.3472100980579853,
    0.31000979244709015,
    0.24590477719902992,
    0.1854334156960249,
    0.13596313912421465,
    0.1499598603695631,
    0.177118050865829,
    0.14252303261309862,
    0.09047434944659472,
    0.14411400258541107,
    0.28218724112957716,
    0.3514594379812479,
    0.40410108398646116,
    0.42940454185009,
    0.4410225711762905,
    0.43958787620067596,
    0.3970604809001088,
    0.34042147267609835,
    0.2522842101752758,
    0.16501906979829073,
    0.16578839533030987,
    0.2096780724823475,
    0.26573100965470076,
    0.2952656280249357,
    0.2643172889947891,
    0.2534029735252261,
    0.27853904385119677,
    0.31454994063824415,
    0.34267816971987486,
    0.38508510030806065,
    0.4146061586216092,
    0.4055957291275263,
    0.34720267821103334,
    0.30864683259278536,
    0.19566831551492214,
    0.12263722717761993,
    0.01950300857424736,
    -0.00841300468891859,
    0.04377951007336378,
    0.1408863039687276,
    0.20320792868733406,
    0.23799988627433777,
    0.27372148633003235,
    0.36047841887921095,
    0.4065437316894531,
    0.44177290331572294,
    0.4424833254888654,
    0.3835869235917926,
    0.3524058423936367,
    0.30452405475080013,
    0.29518641624599695,
    0.2694950895383954,
    0.244422254152596,
    0.24031870067119598,
    0.18326054234057665,
    0.19923830311745405,
    0.2678534649312496,
    0.28550516068935394,
    0.30643874406814575,
    0.3367322785779834,
    0.37865928187966347,
    0.38870391715317965,
    0.45063236076384783,
    0.5176172303035855,
    0.5720156282186508,
    0.6014942340552807,
    0.5996416658163071,
    0.5778752695769072,
    0.5687153888866305,
    0.5600333958864212,
    0.5031534377485514,
    0.4671705858781934,
    0.36869760416448116,
    0.30384528916329145,
    0.2501420872285962,
    0.19688297528773546,
    0.20099266432225704,
    0.2907803785055876,
    0.42960067465901375,
    0.47828039340674877,
    0.47354044299572706,
    0.4564361572265625,
    0.4888332886621356,
    0.48345310520380735,
    0.4668615059927106,
    0.42446338199079037,
    0.38999243173748255,
    0.35521250776946545,
    0.3546031415462494,
    0.38494921289384365,
    0.37484699208289385,
    0.35197076201438904,
    0.3196847438812256,
    0.26447350811213255,
    0.2560100583359599,
    0.2114831954240799,
    0.2188124256208539,
    0.22533824667334557,
    0.23118676245212555,
    0.16394252516329288,
    0.13609317410737276,
    0.14641702640801668,
    0.1827578144147992,
    0.2111509833484888,
    0.16379966214299202,
    0.1806642059236765,
    0.18400463834404945,
    0.1556466417387128,
    0.16218596417456865,
    0.19846071302890778,
    0.23717181663960218,
    0.22396321315318346,
    0.22786150593310595,
    0.31822699308395386,
    0.38951708655804396,
    0.4204326719045639,
    0.4587325258180499,
    0.49457438569515944,
    0.556829322129488,
    0.5764045147225261,
    0.5425469726324081,
    0.4680940471589565,
    0.38917164131999016,
    0.3094898350536823,
    0.20275373570621014,
    0.135342825204134,
    0.1635631350800395,
    0.17608913592994213,
    0.1376831205561757,
    0.06147775426506996,
    0.04399228375405073,
    0.021316111087799072,
    0.0593341588973999,
    0.1342697087675333,
    0.22325410414487123,
    0.31707866955548525,
    0.35113844741135836,
    0.35648251604288816,
    0.3394261943176389,
    0.3057208163663745,
    0.2667492628097534,
    0.24647716898471117,
    0.26659559924155474,
    0.337434190325439,
    0.3727811546996236,
    0.3734089136123657,
    0.3326105773448944,
    0.3329509049654007,
    0.2818633792921901,
    0.2520343065261841,
    0.2703943671658635,
    0.25205453112721443,
    0.308261776342988,
    0.33236395940184593,
    0.3749612532556057,
    0.4591359244659543,
    0.5510555505752563,
    0.558573305606842,
    0.5804278254508972,
    0.5669847968965769,
    0.5571003705263138,
    0.4927961677312851,
    0.4367227107286453,
    0.43465117644518614,
    0.37521532643586397,
    0.23868337739259005,
    0.13585778884589672,
    0.15409076493233442,
    0.16958361491560936,
    0.1557958535850048,
    0.18836908042430878,
    0.22424168698489666,
    0.2580840038135648,
    0.2796135153621435,
    0.2940755281597376,
    0.32749685645103455,
    0.33835364878177643,
    0.36079637706279755,
    0.3568143444135785,
    0.32628915924578905,
    0.23346336744725704,
    0.13186007551848888,
    0.06894053053110838,
    0.06398381385952234,
    0.03782870154827833,
    0.019869636744260788,
    0.014433678239583969,
    0.03922429122030735,
    0.07671796809881926,
    0.1255050115287304,
    0.11837976053357124,
    0.1307118944823742,
    0.10556711256504059,
    0.1065124161541462,
    0.1319659622386098,
    0.1197795420885086,
    0.11234134435653687,
    0.06549367308616638,
    0.06341157853603363,
    0.0554034560918808,
    0.01003407221287489,
    -0.0030529750511050224,
    0.01858430728316307,
    0.025218898430466652,
    0.02423652447760105,
    0.09003280475735664,
    0.15153488144278526,
    0.23548242822289467,
    0.34083340503275394,
    0.4045249382033944,
    0.375425660982728,
    0.30767909064888954,
    0.22964081726968288,
    0.10597055871039629,
    0.03131513670086861,
    -0.03347396571189165,
    -0.0936224339529872,
    -0.09882535319775343,
    -0.09288425743579865,
    -0.038298231549561024,
    -0.01417713426053524,
    0.024320046417415142,
    0.12416605930775404,
    0.2823984269052744,
    0.4519779048860073,
    0.5315821496769786,
    0.5984861003234982,
    0.6134879942983389,
    0.6127969967201352,
    0.5834383573383093,
    0.5398812787607312,
    0.5422023860737681,
    0.5265887435525656,
    0.522044244222343,
    0.488486185669899,
    0.4548270730301738,
    0.4206792525947094,
    0.41208435129374266,
    0.40798335894942284,
    0.39441373385488987,
    0.41101989429444075,
    0.4594245199114084,
    0.5331584112718701,
    0.5491116940975189,
    0.5245715277269483,
    0.44573260843753815,
    0.320324981585145,
    0.20523903239518404,
    0.030503755435347557,
    -0.21676839888095856,
    -0.3780577052384615,
    -0.4266937552019954,
    -0.3479531202465296,
    -0.28011179249733686,
    -0.28634221851825714,
    -0.25694361329078674,
    -0.17820413410663605,
    -0.044511509127914906,
    0.06493966281414032,
    0.15530909225344658,
    0.19126187358051538,
    0.27531192172318697,
    0.31899815425276756,
    0.3424427416175604,
    0.3713509486988187,
    0.38658520579338074,
    0.38844144344329834,
    0.34384829737246037,
    0.2895999876782298,
    0.27172988932579756,
    0.266144054941833,
    0.23310288786888123,
    0.16868230141699314,
    0.06716635264456272,
    -0.0013639740645885468,
    0.03262407798320055,
    0.0874030850827694,
    0.16634031757712364,
    0.2519910577684641,
    0.3078380823135376,
    0.355081332847476,
    0.38338947389274836,
    0.3920296784490347,
    0.35170869901776314,
    0.32752464711666107,
    0.31362046860158443,
    0.2997172437608242,
    0.2524995533749461,
    0.1946658082306385,
    0.15633857250213623,
    0.17777044046670198,
    0.27354690432548523,
    0.29299848061054945,
    0.24512006901204586,
    0.25991677958518267,
    0.25274365209043026,
    0.27683964744210243,
    0.2879298673942685,
    0.30588639806956053,
    0.33358799014240503,
    0.3721943832933903,
    0.34295754134655,
    0.2962994072586298,
    0.24443864542990923,
    0.2516866223886609,
    0.25256282091140747,
    0.20904660783708096,
    0.16170263569802046,
    0.10726974904537201,
    0.06281185708940029,
    0.06143141910433769,
    0.06978924572467804,
    0.06268691457808018,
    0.12094837427139282,
    0.19638528302311897,
    0.24682967457920313,
    0.2931142756715417,
    0.344467181712389,
    0.37252277135849,
    0.3541629062965512,
    0.3062790287658572,
    0.2638069987297058,
    0.2357934396713972,
    0.1461506485939026,
    0.01732483319938183,
    -0.12243574298918247,
    -0.1728009730577469,
    -0.14222141820937395,
    -0.18952465988695621,
    -0.23394586611539125,
    -0.12300723511725664,
    -0.029249051585793495,
    0.0032484978437423706,
    0.030961479991674423,
    0.13565271720290184,
    0.20983092300593853,
    0.17298628389835358,
    0.15169894136488438,
    0.09542290959507227,
    0.03485981188714504,
    -0.07390274293720722,
    -0.19310587365180254,
    -0.2711176425218582,
    -0.2687443168833852,
    -0.20937749464064837,
    -0.11238780617713928,
    -0.007311707362532616,
    0.09291065018624067,
    0.18700428400188684,
    0.22323625162243843,
    0.20766785368323326,
    0.18425110261887312,
    0.17285086773335934,
    0.10957102477550507,
    0.07680820301175117,
    0.02285329718142748,
    0.04026570916175842,
    -0.0013499259948730469,
    0.006430536508560181,
    -0.0009487327188253403,
    0.05304111819714308,
    0.03832376003265381,
    0.022525968961417675,
    0.07819707784801722,
    0.11244946159422398,
    0.14915641769766808,
    0.16983043774962425,
    0.2226884225383401,
    0.23767671454697847,
    0.2625739239156246,
    0.3571673631668091,
    0.3739661006256938,
    0.38333831541240215,
    0.36122976988554,
    0.32823435962200165,
    0.3046665880829096,
    0.28006238769739866,
    0.29014312848448753,
    0.33349596057087183,
    0.34312210511416197,
    0.34661081712692976,
    0.35193004831671715,
    0.4402045402675867,
    0.5291013270616531,
    0.5419891625642776,
    0.5481174001470208,
    0.562287712469697,
    0.5756962038576603,
    0.5420341100543737,
    0.5211496613919735,
    0.48030494153499603,
    0.4388929884880781,
    0.3816370368003845,
    0.34111799765378237,
    0.31121538300067186,
    0.3097641123458743,
    0.3206582944840193,
    0.4024527259171009,
    0.4065648578107357,
    0.4481972632929683,
    0.4494514521211386,
    0.490888942964375,
    0.5220060255378485,
    0.5209306674078107,
    0.4822818674147129,
    0.47322747576981783,
    0.46147782634943724,
    0.4236901104450226,
    0.42359483055770397,
    0.4194665066897869,
    0.3966764062643051,
    0.3653126209974289,
    0.33752763271331787,
    0.3920744461938739,
    0.41656099259853363,
    0.35481348168104887,
    0.2994433883577585,
    0.2922013886272907,
    0.3648826526477933,
    0.40303502418100834,
    0.42341840732842684,
    0.4283334407955408,
    0.4007736789062619,
    0.34586563240736723,
    0.3125488134101033,
    0.32526470720767975,
    0.3181398091837764,
    0.25812597293406725,
    0.24929584842175245,
    0.30607831478118896,
    0.34272446017712355,
    0.3285439517349005,
    0.29091290663927794,
    0.3199011879041791,
    0.3491913881152868,
    0.42172086518257856,
    0.425388571806252,
    0.41484272107481956,
    0.4337148703634739,
    0.4296817183494568,
    0.4283004803583026,
    0.3948276387527585,
    0.36416429560631514,
    0.34978470019996166,
    0.2838521711528301,
    0.17211257480084896,
    0.14053260069340467,
    0.12374772597104311,
    0.14187410287559032,
    0.15979531407356262,
    0.20935057383030653,
    0.29980832803994417,
    0.37792858947068453,
    0.4032135857269168,
    0.4359566755592823,
    0.42956402711570263,
    0.3928840905427933,
    0.3434311719611287,
    0.32183187920600176,
    0.31033333111554384,
    0.2739235730841756,
    0.2087376518175006,
    0.10715058445930481,
    0.04079188033938408,
    -0.032744958996772766,
    -0.08370067179203033,
    -0.14366293419152498,
    -0.16726946737617254,
    -0.15072906389832497,
    -0.13999148085713387,
    -0.15097502246499062,
    -0.08864452969282866,
    -0.04520699381828308,
    0.040865734219551086,
    0.15618930384516716,
    0.2944035930559039,
    0.38238005619496107,
    0.4567757844924927,
    0.548939099535346,
    0.5904004275798798,
    0.6126936273649335,
    0.5802306486293674,
    0.5729551883414388,
    0.5452025718986988,
    0.5432757558301091,
    0.6091145006939769,
    0.5701460931450129,
    0.5565209183841944,
    0.576589047908783,
    0.5851459596306086,
    0.532795668579638,
    0.4758197907358408,
    0.40869697369635105,
    0.33467825688421726,
    0.2680685669183731,
    0.22942079696804285,
    0.21554258931428194,
    0.17148662824183702,
    0.18385185860097408,
    0.20407822541892529,
    0.2657305458560586,
    0.2624130556359887,
    0.23748940229415894,
    0.21867157332599163,
    0.2097946349531412,
    0.22797470353543758,
    0.2725499616935849,
    0.2897306866943836,
    0.3493545698001981,
    0.3435241626575589,
    0.3137573152780533,
    0.28433036245405674,
    0.22453790623694658,
    0.17188498936593533,
    0.12582461535930634,
    0.08447219058871269,
    0.03287649434059858,
    -0.03600125014781952,
    -0.039531211368739605,
    -0.012739788740873337,
    0.018675923347473145,
    0.06642923876643181,
    0.09772332012653351,
    0.18947088159620762,
    0.3056085305288434,
    0.3619976434856653,
    0.3978562243282795,
    0.3896437184885144,
    0.41808314993977547,
    0.448083178140223,
    0.5046253176406026,
    0.5015516523271799,
    0.5236164508387446,
    0.4887670250609517,
    0.4317242680117488,
    0.388393422588706,
    0.32272430043667555,
    0.31587775982916355,
    0.3337672809138894,
    0.31741424184292555,
    0.2958597643300891,
    0.2282662419602275,
    0.11004015896469355,
    -0.010456832125782967,
    -0.07822307478636503,
    -0.11677909828722477,
    -0.07959630712866783,
    -0.03265789523720741,
    0.02183726243674755,
    0.04165272135287523,
    0.05903506278991699,
    0.16381651628762484,
    0.20187817979604006,
    0.22156722843647003,
    0.20600872859358788,
    0.177582873031497,
    0.1361720422282815,
    0.033345580101013184,
    -0.04546460974961519,
    -0.12692822143435478,
    -0.20006706379354,
    -0.24175283312797546,
    -0.1955083878710866,
    -0.14988430123776197,
    -0.05636584386229515,
    0.06022923905402422,
    0.09993722662329674,
    0.09380954504013062,
    0.09923124592751265,
    0.08494463935494423,
    0.06688060332089663,
    0.01261772308498621,
    -0.035480935126543045,
    -0.09074757620692253,
    -0.09037079941481352,
    -0.0551731176674366,
    -0.01005749125033617,
    -0.02962026372551918,
    -0.05872684717178345,
    -0.05867455620318651,
    0.04341431986540556,
    0.14325901586562395,
    0.21066928189247847,
    0.2892512334510684,
    0.3607439063489437,
    0.38933591917157173,
    0.3953128308057785,
    0.47167164646089077,
    0.5135609172284603,
    0.5415895730257034,
    0.5971381217241287,
    0.5753450747579336,
    0.5344016440212727,
    0.48599791154265404,
    0.42341277468949556,
    0.33960732258856297,
    0.2531295418739319,
    0.15176344197243452,
    0.1257413225248456,
    0.1676521571353078,
    0.2147670341655612,
    0.23447528295218945,
    0.19216314982622862,
    0.2235027113929391,
    0.2067446680739522,
    0.2650103624910116,
    0.3109179548919201,
    0.34417141508311033,
    0.3375427918508649,
    0.3435742510482669,
    0.34958281088620424,
    0.33686611521989107,
    0.3167811185121536,
    0.3043328346684575,
    0.2844634624198079,
    0.30078597366809845,
    0.275626796297729,
    0.2919487776234746,
    0.39697116427123547,
    0.46851611137390137,
    0.4590306933969259,
    0.4831111580133438,
    0.5227069584652781,
    0.5765656577423215,
    0.6521134320646524,
    0.6561421044170856,
    0.663585071451962,
    0.5995807833969593,
    0.5604524593800306,
    0.5148552628234029,
    0.3936113603413105,
    0.2776403008028865,
    0.12212598044425249,
    0.005737262777984142,
    0.021123871207237244,
    0.11596776824444532,
    0.18383195996284485,
    0.19370041321963072,
    0.2351599745452404,
    0.3079241020604968,
    0.32592427358031273,
    0.3467588173225522,
    0.33490508422255516,
    0.29945221077650785,
    0.3038824237883091,
    0.27262862492352724,
    0.23450510669499636,
    0.2627586619928479,
    0.23095479421317577,
    0.2154412092640996,
    0.16776002384722233,
    0.15343489032238722,
    0.11443810444325209,
    0.1398201435804367,
    0.14982908591628075,
    0.16814656555652618,
    0.20492391381412745,
    0.21146825421601534,
    0.21337055787444115,
    0.17781107500195503,
    0.0961211733520031,
    0.04789303243160248,
    0.09156402386724949,
    0.10758882481604815,
    0.09113813005387783,
    0.012880501337349415,
    -0.05075104907155037,
    -0.061251431703567505,
    -0.07293729484081268,
    -0.08125062007457018,
    -0.08759757876396179,
    -0.0815490959212184,
    -0.07480338122695684,
    -0.02911258116364479,
    0.014774139970541,
    0.08195307571440935,
    0.16869801748543978,
    0.1881769448518753,
    0.2163362167775631,
    0.23306905012577772,
    0.21730239689350128,
    0.21125603932887316,
    0.2281915694475174,
    0.2436538739129901,
    0.18842772766947746,
    0.09770195558667183,
    -0.013179975561797619,
    -0.05550710577517748,
    -0.034963336773216724,
    -0.03340382594615221,
    -0.013856038451194763,
    0.07110715843737125,
    0.12278004456311464,
    0.23218126129359007,
    0.3080707136541605,
    0.3833222249522805,
    0.4389950521290302,
    0.43723124265670776,
    0.41547239758074284,
    0.3764382638037205,
    0.32387061417102814,
    0.2759670661762357,
    0.18243448436260223,
    0.16196346003562212,
    0.19680522102862597,
    0.24954889714717865,
    0.25225430354475975,
    0.232866570353508,
    0.25422389805316925,
    0.2875715382397175,
    0.28012162167578936,
    0.3023223765194416,
    0.3246369995176792,
    0.364003692753613,
    0.39920097403228283,
    0.3780028820037842,
    0.3703667875379324,
    0.3133290382102132,
    0.2634344520047307,
    0.21770362555980682,
    0.18822048604488373,
    0.1750454930588603,
    0.14982470870018005,
    0.1752417739480734,
    0.19915445148944855,
    0.2637806087732315,
    0.21620350144803524,
    0.2186129242181778,
    0.2648124638944864,
    0.3196612186729908,
    0.30468585807830095,
    0.29817529395222664,
    0.30887873005121946,
    0.29624116886407137,
    0.2703180117532611,
    0.2610582085326314,
    0.2511577410623431,
    0.2146360157057643,
    0.1324193449690938,
    0.052996677346527576,
    0.09260287880897522,
    0.15130104403942823,
    0.16039825603365898,
    0.19785002898424864,
    0.23105506040155888,
    0.3104540156200528,
    0.3484661541879177,
    0.3699223967269063,
    0.37507395073771477,
    0.34726611338555813,
    0.32922642305493355,
    0.3150308132171631,
    0.3051478900015354,
    0.2982253674417734,
    0.30705478601157665,
    0.2840779246762395,
    0.26685710716992617,
    0.28525746148079634,
    0.32746731024235487,
    0.36811137199401855,
    0.3582311235368252,
    0.35783285833895206,
    0.37598534394055605,
    0.39552745688706636,
    0.36773296631872654,
    0.34182140696793795,
    0.33923797123134136,
    0.2608393579721451,
    0.24508757330477238,
    0.21891516167670488,
    0.16984428465366364,
    0.12307014781981707,
    0.1631358563899994,
    0.23911723122000694,
    0.2857156302779913,
    0.33886630460619926,
    0.35699930507689714,
    0.34873074293136597,
    0.35597170889377594,
    0.39234263077378273,
    0.4035536767914891,
    0.41504238173365593,
    0.38304903730750084,
    0.3693713704124093,
    0.3550334433093667,
    0.3027215711772442,
    0.24546901881694794,
    0.14577737729996443,
    0.07602129969745874,
    0.030453145503997803,
    0.01904251240193844,
    0.03678203001618385,
    0.1544621093198657,
    0.26099784206598997,
    0.3417507754638791,
    0.39968582801520824,
    0.4105174569413066,
    0.3864912446588278,
    0.4316563503816724,
    0.4552786946296692,
    0.46497912518680096,
    0.40553800761699677,
    0.3447904884815216,
    0.3957689981907606,
    0.3902764432132244,
    0.3926941603422165,
    0.4080222547054291,
    0.40829050820320845,
    0.4047967195510864,
    0.3934961585327983,
    0.36493501625955105,
    0.37726734578609467,
    0.3781531797721982,
    0.4097248911857605,
    0.3992890873923898,
    0.4606436239555478,
    0.4876606650650501,
    0.5138972448185086,
    0.47259815502911806,
    0.4032787960022688,
    0.2750884471461177,
    0.17046763468533754,
    0.04497289378196001,
    -0.06667688954621553,
    -0.03733621723949909,
    0.052324291318655014,
    0.07097706664353609,
    0.018449196591973305,
    -0.02584466803818941,
    -0.04284491017460823,
    -0.04410701710730791,
    0.050032724626362324,
    0.07553059794008732,
    0.09384183958172798,
    0.08368343114852905,
    0.08042795956134796,
    0.10415701568126678,
    0.07513999659568071,
    0.07961960695683956,
    0.017149075865745544,
    -0.05781983304768801,
    -0.10312038380652666,
    -0.1065050633624196,
    -0.03962153661996126,
    0.09657710418105125,
    0.16794678196310997,
    0.15350065007805824,
    0.13215099647641182,
    0.18885281961411238,
    0.20507702603936195,
    0.1794180665165186,
    0.13627910986542702,
    0.06768215633928776,
    0.02217141166329384,
    -0.022929812781512737,
    -0.02853501122444868,
    0.02402358129620552,
    0.0524532375857234,
    0.014243912883102894,
    0.007215815596282482,
    0.10917701106518507,
    0.23235596995800734,
    0.31458714976906776,
    0.33802131842821836,
    0.39069885946810246,
    0.39948119781911373,
    0.4096922427415848,
    0.38536402210593224,
    0.3583953492343426,
    0.3180755730718374,
    0.27063243463635445,
    0.189170116558671,
    0.10397906973958015,
    0.024749326519668102,
    -0.03858635015785694,
    -0.05701752286404371,
    -0.07552938722074032,
    -0.04852351266890764,
    0.006951365619897842,
    0.0381922721862793,
    0.06144331395626068,
    0.08120383135974407,
    0.1118633197620511,
    0.07140276301652193,
    0.026770454831421375,
    -0.00985724851489067,
    -0.03455284424126148,
    -0.0370984822511673,
    -0.08638070896267891,
    -0.05937242787331343,
    0.032463446259498596,
    0.1482393117621541,
    0.19192183297127485,
    0.22140508890151978,
    0.27050368767231703,
    0.2981041492894292,
    0.3216833174228668,
    0.34048058558255434,
    0.3361850269138813,
    0.32505478523671627,
    0.3509020311757922,
    0.3584409300237894,
    0.4378346987068653,
    0.4937046878039837,
    0.5771241895854473,
    0.6196113526821136,
    0.5883585186675191,
    0.5573189584538341,
    0.5461220256984234,
    0.5231188088655472,
    0.49463014770299196,
    0.4505213601514697,
    0.4778373967856169,
    0.4954485045745969,
    0.5111728878691792,
    0.4895495753735304,
    0.5224965922534466,
    0.5427509360015392,
    0.5460056960582733,
    0.5436033103615046,
    0.553656836040318,
    0.5418805982917547,
    0.4922341303899884,
    0.43010833859443665,
    0.3846069546416402,
    0.3641253858804703,
    0.40822305250912905,
    0.43913517612963915,
    0.43680131528526545,
    0.4173541646450758,
    0.426279092207551,
    0.4153844816610217,
    0.38012197613716125,
    0.2941978629678488,
    0.22167144436389208,
    0.2272893888875842,
    0.24942234624177217,
    0.25302550569176674,
    0.24711569026112556,
    0.30341518949717283,
    0.30985070765018463,
    0.2630947232246399,
    0.24080580193549395,
    0.2212742744013667,
    0.1636110544204712,
    0.13164259493350983,
    0.09614549577236176,
    0.11806335765868425,
    0.1783525301143527,
    0.21155138313770294,
    0.20407015550881624,
    0.2866716533899307,
    0.32233876269310713,
    0.31143413856625557,
    0.34559045173227787,
    0.32073251996189356,
    0.33352030627429485,
    0.2846432514488697,
    0.27677915524691343,
    0.27372461277991533,
    0.2565913684666157,
    0.21735382359474897,
    0.11893658060580492,
    -0.010082500986754894,
    -0.021692469716072083,
    0.037001210264861584,
    0.05279260873794556,
    0.06940452288836241,
    0.120911437086761,
    0.20961437094956636,
    0.2584379641339183,
    0.27414185274392366,
    0.30698967445641756,
    0.32222677394747734,
    0.313516104593873,
    0.29437560960650444,
    0.3156568594276905,
    0.3357848525047302,
    0.3388679753988981,
    0.3765244958922267,
    0.36680159997195005,
    0.3693988202139735,
    0.3606929359957576,
    0.3784429132938385,
    0.37285553850233555,
    0.3639579461887479,
    0.39790669456124306,
    0.3723487500101328,
    0.3917509261518717,
    0.36149821151047945,
    0.3280484648421407,
    0.2211768627166748,
    0.10406673047691584,
    -0.027034389786422253,
    -0.07493942975997925,
    -0.06870228331536055,
    0.04285748302936554,
    0.14195039868354797,
    0.2397833615541458,
    0.3116952134296298,
    0.3934619426727295,
    0.4516440089792013,
    0.43933040369302034,
    0.44563030265271664,
    0.40020304545760155,
    0.34147463366389275,
    0.32024744618684053,
    0.31286091078072786,
    0.3080490957945585,
    0.3640431612730026,
    0.3687695860862732,
    0.3336523650214076,
    0.3251991719007492,
    0.28141029458492994,
    0.22964155487716198,
    0.17350956797599792,
    0.18265201710164547,
    0.19269093684852123,
    0.170942023396492,
    0.22543949913233519,
    0.24680887162685394,
    0.2994842575863004,
    0.39670113008469343,
    0.4366845451295376,
    0.502980288118124,
    0.5456419978290796,
    0.5856620967388153,
    0.5777107011526823,
    0.564696435816586,
    0.5175101514905691,
    0.4573681652545929,
    0.3867147769778967,
    0.35184263065457344,
    0.31756323855370283,
    0.31686156522482634,
    0.28584150690585375,
    0.25924762710928917,
    0.22683274559676647,
    0.26787851471453905,
    0.22173106111586094,
    0.24927805177867413,
    0.2157481424510479,
    0.25906802248209715,
    0.2662213947623968,
    0.26024041045457125,
    0.2841597544029355,
    0.23097290471196175,
    0.1322319060564041,
    0.08264347910881042,
    0.10095785558223724,
    0.15140866953879595,
    0.16329431533813477,
    0.2054055780172348,
    0.19852233212441206,
    0.23358768690377474,
    0.34228822216391563,
    0.4292592406272888,
    0.3955729566514492,
    0.3437921293079853,
    0.33735516108572483,
    0.3585098125040531,
    0.37923548743128777,
    0.33141060546040535,
    0.3192345993593335,
    0.291576836258173,
    0.21009173430502415,
    0.21213935315608978,
    0.2496995162218809,
    0.2784641357138753,
    0.2388239037245512,
    0.18212194368243217,
    0.13145889062434435,
    0.13877889793366194,
    0.12435062602162361,
    0.09959423076361418,
    0.13528037536889315,
    0.11504925787448883,
    0.12296439986675978,
    0.09620676934719086,
    0.10117452871054411,
    0.09891749639064074,
    0.1085268808528781,
    0.13164789509028196,
    0.13241427019238472,
    0.11433208268135786,
    0.11679480783641338,
    0.1299433708190918,
    0.16914132237434387,
    0.1824821885675192,
    0.2346223946660757,
    0.2924080193042755,
    0.30691262800246477,
    0.3113752268254757,
    0.3584279762580991,
    0.3331455886363983,
    0.32994815427809954,
    0.2561713941395283,
    0.20479814242571592,
    0.16867467761039734,
    0.1277445051819086,
    0.13510836381465197,
    0.22536650113761425,
    0.2118718596175313,
    0.18499086797237396,
    0.13672956824302673,
    0.1434333473443985,
    0.14221906382590532,
    0.15007290244102478,
    0.16833068896085024,
    0.18575100973248482,
    0.24363273847848177,
    0.3226771913468838,
    0.3358246199786663,
    0.39085099566727877,
    0.3511042892932892,
    0.33731202222406864,
    0.3162704221904278,
    0.2482590340077877,
    0.1734808562323451,
    0.054023753851652145,
    -0.020953972823917866,
    -0.04755592346191406,
    -0.10392168071120977,
    -0.14539308566600084,
    -0.15993364620953798,
    -0.132791792973876,
    -0.08986701630055904,
    -0.056389033794403076,
    -0.036689624190330505,
    -0.07317655812948942,
    -0.10197978094220161,
    -0.12044772040098906,
    -0.06079469062387943,
    0.0006002373993396759,
    0.07186577934771776,
    0.17769892141222954,
    0.2612294163554907,
    0.23128139972686768,
    0.23769596498459578,
    0.33765463531017303,
    0.41463906690478325,
    0.4353029876947403,
    0.4221018496900797,
    0.45205076038837433,
    0.44939675368368626,
    0.46231767162680626,
    0.44107456505298615,
    0.33205199241638184,
    0.23365718126296997,
    0.1314578354358673,
    0.0076376404613256454,
    -0.06436832807958126,
    -0.14444945193827152,
    -0.11623040772974491,
    -0.1369378287345171,
    -0.12559597194194794,
    -0.13310485798865557,
    -0.10181293822824955,
    -0.09974914975464344,
    -0.07299369107931852,
    -0.07498360611498356,
    0.013021235354244709,
    0.0723737757652998,
    0.14744480326771736,
    0.21203820500522852,
    0.2857338786125183,
    0.3346677329391241,
    0.3738664835691452,
    0.3890444664284587,
    0.38046606350690126,
    0.3904901770874858,
    0.4004739820957184,
    0.3868745230138302,
    0.3290878143161535,
    0.3463822267949581,
    0.45012766122817993,
    0.5316038969904184,
    0.5720046050846577,
    0.565397965721786,
    0.5718345828354359,
    0.5450104270130396,
    0.5168405957520008,
    0.5128961326554418,
    0.49080261681228876,
    0.4627744797617197,
    0.44952837843447924,
    0.49242826737463474,
    0.5000459551811218,
    0.485003431327641,
    0.49473971128463745,
    0.5072171436622739,
    0.5417620092630386,
    0.5966519443318248,
    0.6921570720151067,
    0.7939605908468366,
    0.8272995678707957,
    0.8320296006277204,
    0.8080316828563809,
    0.8284839736297727,
    0.7802806831896305,
    0.7356325834989548,
    0.7308387607336044,
    0.7056641317903996,
    0.6659769117832184,
    0.6386482119560242,
    0.5937887541949749,
    0.5726493941619992,
    0.5721518099308014,
    0.5188908316195011,
    0.496247012168169,
    0.4896354265511036,
    0.513596598058939,
    0.5127515392377973,
    0.4584440141916275,
    0.38409115839749575,
    0.26896023750305176,
    0.26123011112213135,
    0.27276398707181215,
    0.3176744319498539,
    0.3661477016285062,
    0.44476132094860077,
    0.44356978405267,
    0.43475766852498055,
    0.43922305665910244,
    0.4613073766231537,
    0.4590143021196127,
    0.4807313643395901,
    0.5267637427896261,
    0.549912728369236,
    0.5495803207159042,
    0.5198529940098524,
    0.46344827115535736,
    0.32406166195869446,
    0.15077877324074507,
    0.015580475330352783,
    -0.12529459316283464,
    -0.2854467583820224,
    -0.3257600702345371,
    -0.34509890247136354,
    -0.3875948637723923,
    -0.36801038682460785,
    -0.24675312358886003,
    -0.09670938085764647,
    0.06640610098838806,
    0.15878449007868767,
    0.2454804601147771,
    0.25866353139281273,
    0.29080129135400057,
    0.28251274954527617,
    0.21310480684041977,
    0.1408560173586011,
    0.06997804343700409,
    0.03935793600976467,
    -0.014175103977322578,
    -0.11281086225062609,
    -0.21632641274482012,
    -0.30471544340252876,
    -0.31281754095107317,
    -0.3120060237124562,
    -0.3419360490515828,
    -0.41997480764985085,
    -0.41450426168739796,
    -0.416653442196548,
    -0.365398938767612,
    -0.27719852700829506,
    -0.21879661362618208,
    -0.21020061243325472,
    -0.24176222644746304,
    -0.23563926946371794,
    -0.18309633154422045,
    -0.11926398053765297,
    -0.04105362668633461,
    0.013701722025871277,
    0.07392632961273193,
    0.0720578609034419,
    0.021972715854644775,
    0.04108038544654846,
    0.034454345703125,
    0.0603446364402771,
    0.11937639396637678,
    0.21322127804160118,
    0.3017750708386302,
    0.3679771926254034,
    0.3979738652706146,
    0.4559440612792969,
    0.5166389010846615,
    0.5653547989204526,
    0.5991452159360051,
    0.5678522912785411,
    0.5247351489961147,
    0.4878422887995839,
    0.4379725269973278,
    0.39979637786746025,
    0.36200080811977386,
    0.29333155415952206,
    0.31178630888462067,
    0.36297639831900597,
    0.3968299925327301,
    0.4066330622881651,
    0.4276967793703079,
    0.4657774418592453,
    0.5018451493233442,
    0.5233715446665883,
    0.5061060013249516,
    0.5099185090512037,
    0.4407786885276437,
    0.33608721755445004,
    0.18716466892510653,
    0.06164282653480768,
    0.05285950284451246,
    0.06759071163833141,
    0.0917395455762744,
    0.12862164061516523,
    0.181385463103652,
    0.18740542605519295,
    0.19783948361873627,
    0.21029603108763695,
    0.19352487102150917,
    0.14516215026378632,
    0.12540500983595848,
    0.04999704286456108,
    0.030593817122280598,
    0.022058874368667603,
    -0.0007645487785339355,
    -0.06660438515245914,
    -0.10840527713298798,
    -0.13191537279635668,
    -0.09584176819771528,
    -0.014356855303049088,
    0.08088216185569763,
    0.16206483636051416,
    0.20474205445498228,
    0.24932692479342222,
    0.2983804913237691,
    0.36331483721733093,
    0.40771151799708605,
    0.39535877108573914,
    0.41987063456326723,
    0.41528041288256645,
    0.4159298809245229,
    0.371062571182847,
    0.279357623308897,
    0.19447942171245813,
    0.1522482167929411,
    0.16944156866520643,
    0.16404433827847242,
    0.10664542019367218,
    0.11149202566593885,
    0.11192893702536821,
    0.11966895498335361,
    0.1376606235280633,
    0.1522703431546688,
    0.12059404700994492,
    0.07804134488105774,
    0.014590924605727196,
    -0.07804376631975174,
    0.014017298817634583,
    0.1491018533706665,
    0.2599756168201566,
    0.30032739508897066,
    0.3569122003391385,
    0.37554616015404463,
    0.367083877325058,
    0.35384126007556915,
    0.2686205953359604,
    0.18401122093200684,
    0.06538922525942326,
    -0.07682582270354033,
    -0.11455938592553139,
    -0.16431857086718082,
    -0.1863072831183672,
    -0.1375105995684862,
    -0.16989409923553467,
    -0.13831440825015306,
    -0.13123455364257097,
    -0.11174799501895905,
    -0.11219883523881435,
    -0.0842602401971817,
    -0.08446410857141018,
    -0.07324539124965668,
    -0.02839051652699709,
    0.04103696811944246,
    0.015247762203216553,
    -0.006644576787948608,
    -0.005421563051640987,
    0.054726481437683105,
    0.15564506221562624,
    0.23102987930178642,
    0.25292042177170515,
    0.2524896413087845,
    0.2541061220690608,
    0.28314741887152195,
    0.36722420156002045,
    0.37094536144286394,
    0.35756417736411095,
    0.33792975544929504,
    0.37565101217478514,
    0.3952373592182994,
    0.39535702764987946,
    0.4161592395976186,
    0.38803160190582275,
    0.3393090292811394,
    0.2796955583617091,
    0.2316455403342843,
    0.2314237542450428,
    0.22218108177185059,
    0.3050190210342407,
    0.3699183911085129,
    0.4277255283668637,
    0.4721772763878107,
    0.4766750931739807,
    0.4717879155650735,
    0.43518273904919624,
    0.3516865223646164,
    0.3200681656599045,
    0.3923966567963362,
    0.406776724383235,
    0.35816296748816967,
    0.32507814932614565,
    0.3648677673190832,
    0.3928182125091553,
    0.3910718522965908,
    0.3599390350282192,
    0.392299416474998,
    0.4361607590690255,
    0.5033482136204839,
    0.5888666175305843,
    0.5778881506994367,
    0.590406452305615,
    0.5497727356851101,
    0.49109420273452997,
    0.44263571593910456,
    0.40607962291687727,
    0.36385228764265776,
    0.26790719758719206,
    0.1825956655666232,
    0.06761953514069319,
    -0.0449878079816699,
    -0.03586815297603607,
    -0.030435610562562943,
    -0.006452139467000961,
    -0.006765310652554035,
    -0.009578144177794456,
    -0.04294304735958576,
    -0.07041104044765234,
    0.02774539589881897,
    0.11831519566476345,
    0.25367980170994997,
    0.3084660694003105,
    0.3453538240864873,
    0.3355839531868696,
    0.3686549514532089,
    0.3504303004592657,
    0.2830561576411128,
    0.19882105384021997,
    0.18634398560971022,
    0.1271094111725688,
    0.0622745007276535,
    -0.001355406828224659,
    -0.02654377557337284,
    -0.0531464209780097,
    -0.024306881241500378,
    0.043184670619666576,
    0.09662688057869673,
    0.1806934205815196,
    0.27766347397118807,
    0.35578967723995447,
    0.41454637981951237,
    0.5333850532770157,
    0.5785904712975025,
    0.5743700414896011,
    0.5195092977955937,
    0.45620140712708235,
    0.3125821650028229,
    0.19875378906726837,
    0.17351356893777847,
    0.23412805423140526,
    0.23280977085232735,
    0.17613995354622602,
    0.1121087996289134,
    0.07370849698781967,
    0.09089780133217573,
    0.20568177103996277,
    0.24104233365505934,
    0.26104422844946384,
    0.2959880977869034,
    0.32561998069286346,
    0.29586072266101837,
    0.3144065048545599,
    0.3355620950460434,
    0.38794262800365686,
    0.39749894570559263,
    0.3807189492508769,
    0.35269013326615095,
    0.2719404846429825,
    0.22926514968276024,
    0.2128900559619069,
    0.222985303029418,
    0.1848929189145565,
    0.19374710600823164,
    0.25055201444774866,
    0.3319353871047497,
    0.3193770619109273,
    0.3313478510826826,
    0.3905605226755142,
    0.3885461650788784,
    0.33140880335122347,
    0.25403807684779167,
    0.1891961358487606,
    0.1374163180589676,
    0.15332435071468353,
    0.15822844672948122,
    0.08974198624491692,
    0.09201740007847548,
    0.13399667665362358,
    0.13946620654314756,
    0.14763018116354942,
    0.12810184340924025,
    0.10340506955981255,
    0.0983878718689084,
    0.11914561316370964,
    0.1832440970465541,
    0.2586722867563367,
    0.3413936644792557,
    0.39435482025146484,
    0.43221808038651943,
    0.41019270941615105,
    0.39250704925507307,
    0.36048251762986183,
    0.28726257756352425,
    0.20498782023787498,
    0.09284311812371016,
    -0.03743538726121187,
    -0.14334923028945923,
    -0.0972575806081295,
    0.010224878787994385,
    0.0833537532016635,
    0.15177085995674133,
    0.2682979581877589,
    0.3626183830201626,
    0.4463684558868408,
    0.46079182252287865,
    0.4777086079120636
  ],
  "earlyFolding": [
    0.015163607890382496,
    0.018836325718581598,
    0.014435160556634614,
    0.013476792823818137,
    0.028862328232292598,
    0.04113897281097896,
    0.04257707030782547,
    0.041537940056620405,
    0.0219573979726571,
    0.011987439204704547,
    0.012696075102885394,
    0.006286334437803868,
    0.00346607535499591,
    0.003979933265090781,
    0.002713335427522121,
    0.004994868137312985,
    0.005610655938383606,
    0.0031243188223336054,
    0.004479338955845925,
    0.01620337719919265,
    0.04775471672868023,
    0.09832551231308669,
    0.1230214351475787,
    0.13300597086185686,
    0.20729907533037278,
    0.38759583833483957,
    0.5653004328026183,
    0.6789168756129325,
    0.742688093033953,
    0.6970869695235208,
    0.5526385035447012,
    0.3337544020448833,
    0.16365255899123662,
    0.0508282892300695,
    0.019441414011662744,
    0.015284129258794575,
    0.015877730834175895,
    0.008720522614098987,
    0.004595398030756949,
    0.00614387159784787,
    0.012493614154835634,
    0.01135549631607654,
    0.006202545212313475,
    0.0071244676928020586,
    0.009229049932162631,
    0.016805989768010503,
    0.02712485516608268,
    0.031276019385031516,
    0.059101394900302,
    0.06558616179737008,
    0.07994082129182735,
    0.041042695330328005,
    0.024404841466856713,
    0.020088782221079286,
    0.01701840571375105,
    0.012413605933354907,
    0.010961570057120014,
    0.013540221959454238,
    0.028029572482413473,
    0.038090158052116116,
    0.06068964000628277,
    0.04512854396817372,
    0.022099564733376414,
    0.02524827232308854,
    0.025529689134107702,
    0.014215270103193947,
    0.011125965339043364,
    0.010062035669681326,
    0.006092083124106567,
    0.0040124720073400144,
    0.003898186073864043,
    0.0055148176792463866,
    0.008398168612144392,
    0.014604012098286547,
    0.031378977761976436,
    0.060502625769327224,
    0.09320857066015663,
    0.15682146347591489,
    0.15154898569782063,
    0.13057280942702326,
    0.09702358899123863,
    0.06057432978212011,
    0.019126965913944156,
    0.0061972164750269025,
    0.005495903164805923,
    0.006034040291676527,
    0.004907555484994536,
    0.0051307425245058855,
    0.008008327078355453,
    0.012033045767000936,
    0.009010569582347784,
    0.01771600427406113,
    0.029481625275585354,
    0.030898280041076562,
    0.013631092270097591,
    0.008243963634088037,
    0.009913293477065712,
    0.013204970436613051,
    0.024296100132362525,
    0.05893734649412698,
    0.07388841504733147,
    0.059334163493855493,
    0.09327965720797149,
    0.12053057118689582,
    0.06601461519449153,
    0.0690088979506919,
    0.06867310770124047,
    0.03872540671405566,
    0.02236166451664378,
    0.02086013026322796,
    0.02273454194273602,
    0.025780680429787286,
    0.023726378315179392,
    0.04403984330901481,
    0.08137520706047044,
    0.08949831715144649,
    0.13031956855637541,
    0.19834330017897964,
    0.12132476887612775,
    0.07101208646068324,
    0.03619312430826864,
    0.00768984554005141,
    0.0015480418006791072,
    0.0024749925610224486,
    0.01017125315835499,
    0.02548574038999017,
    0.04582713448843271,
    0.05471515222698584,
    0.10178650058983844,
    0.18841630045113356,
    0.15897112581883974,
    0.08684288746872733,
    0.10984602252033661,
    0.09234846065221883,
    0.029071826650119075,
    0.02657910186404389,
    0.014244845821526415,
    0.006388561200502325,
    0.014327579491361868,
    0.02316959598601355,
    0.016539864820535852,
    0.013601372411242835,
    0.019382670473313858,
    0.01728689542502032,
    0.014481665523457407,
    0.0171684571370459,
    0.017497940986042005,
    0.02581904902049061,
    0.035927268538286004,
    0.03320523181488448,
    0.025094254921732013,
    0.025677125033205347,
    0.013432473107135797,
    0.006856364351551746,
    0.00921974377683702,
    0.012367491700785929,
    0.01106638035673833,
    0.013524422242392144,
    0.018638564575426207,
    0.018224513894138566,
    0.012106314496520108,
    0.01902895615189187,
    0.024191017177324838,
    0.018263641179435016,
    0.011391319708296885,
    0.0134821354816842,
    0.013043227762400805,
    0.006677766151945174,
    0.007371626337888328,
    0.007950167991130625,
    0.005283994626458635,
    0.010097370347742406,
    0.012613195398435034,
    0.006982096319782344,
    0.00912462188384217,
    0.012201661511211343,
    0.013618643711610848,
    0.012091746356529045,
    0.020317329181838328,
    0.03611095740282448,
    0.029681388195472246,
    0.02182494218425792,
    0.01250092412177675,
    0.004332145872692018,
    0.0010005457064754231,
    0.0013112985160216772,
    0.003399123025209128,
    0.0036651723848681035,
    0.004927520759831025,
    0.024278628725748243,
    0.06865257094215191,
    0.056439014076573354,
    0.0734025403026436,
    0.03904122551264241,
    0.024400101782943617,
    0.010302032939197209,
    0.005068752313701135,
    0.00529198972068645,
    0.002551239256274597,
    0.0012235645521689288,
    0.0034999067717213263,
    0.018274383794045855,
    0.027074987715492622,
    0.0469854829013831,
    0.04590844413762349,
    0.0488883986924073,
    0.09919712683822338,
    0.1765704067314431,
    0.08403899589359926,
    0.04409005652733861,
    0.01887906621881357,
    0.007055320462904213,
    0.01373092646398586,
    0.01065580975439769,
    0.006123254955354204,
    0.005111965287848008,
    0.007075546589263591,
    0.007608889190905129,
    0.014852328016717932,
    0.03866252941896894,
    0.05477663130138429,
    0.06405009358034428,
    0.08926185921402849,
    0.09953840772289073,
    0.11000425134423956,
    0.06813708363733854,
    0.051363476341793106,
    0.02414109865976817,
    0.003981509652069519,
    0.0029562861673715266,
    0.0023568394864154282,
    0.0022768257840873984,
    0.002871300200902719,
    0.0023567643188259022,
    0.0016989451894647062,
    0.0031818997492385525,
    0.008732908787342012,
    0.016674007331951474,
    0.03521052462320852,
    0.058134096090648214,
    0.06428237715348567,
    0.05965806981330538,
    0.08498742133144956,
    0.12257102104156037,
    0.14541147651415276,
    0.1083746642950715,
    0.04425727083631527,
    0.045324362120092936,
    0.024358755846472,
    0.00823014115493164,
    0.013253066130472009,
    0.02389878112521884,
    0.01805994795495313,
    0.01295792930808452,
    0.013154204804517686,
    0.008446188659566537,
    0.006180561226378476,
    0.00840997834701396,
    0.009742916262682654,
    0.021470120989701046,
    0.05052036001842183,
    0.06798676110644737,
    0.08472803495928263,
    0.07508127719840894,
    0.04947853727390892,
    0.026195324869907603,
    0.02230300270347154,
    0.013443914594089888,
    0.004701839666943068,
    0.0024626725449338614,
    0.0022026888354907113,
    0.0029794894082065984,
    0.00617137418813146,
    0.02002537089775176,
    0.04226076466359879,
    0.06264325190385528,
    0.08614916349029415,
    0.08740259375645203,
    0.06058656199636004,
    0.030610955182831207,
    0.015719147261096376,
    0.010849010808657562,
    0.005426929389384593,
    0.007917292713938958,
    0.010440414725736518,
    0.009115849351131104,
    0.010676718737450863,
    0.016830985981240842,
    0.032483077811268676,
    0.05597582336872656,
    0.07998572718329705,
    0.08693557623193796,
    0.06094416702656223,
    0.10297214430396556,
    0.07689025446042216,
    0.022807681940475152,
    0.012152912903541778,
    0.0133184477129328,
    0.009632982378287651,
    0.0028953388809671104,
    0.001918354764341231,
    0.0019185323248199898,
    0.003161240827849033,
    0.00714300511082703,
    0.008490051645341813,
    0.013030970167084014,
    0.014485964282317618,
    0.007822845685878843,
    0.008575622051091112,
    0.010491964790247237,
    0.010035857513581724,
    0.014345560210720565,
    0.030591998263854604,
    0.04172220583462391,
    0.0500224352204946,
    0.06763431122411592,
    0.0345495888833757,
    0.02107272220531374,
    0.02524516028743137,
    0.01709919792702984,
    0.012484037978406146,
    0.02346843920713321,
    0.020037029835687975,
    0.022684862156576082,
    0.028402517335633,
    0.028827415421710984,
    0.055497061581177225,
    0.06466640646988618,
    0.060417290606385295,
    0.0974743316675338,
    0.17477285145416455,
    0.12476801343611574,
    0.06382867092229505,
    0.04371902412795587,
    0.009210683435464325,
    0.002448702779347985,
    0.0017462213468598675,
    0.001995181443834636,
    0.0029899418229899746,
    0.0061799368595041445,
    0.005609836509065454,
    0.0031577530263155267,
    0.005178142012552378,
    0.006566034074484672,
    0.005987101641616388,
    0.01672019393681685,
    0.04521446017240146,
    0.08502174156454889,
    0.11305453766008537,
    0.18725094134932957,
    0.2152240691084983,
    0.14504957933372933,
    0.0411423673678241,
    0.015150903430865578,
    0.015051729595074014,
    0.007566234519265779,
    0.0021739204036773188,
    0.002107586315595448,
    0.0027416841773526828,
    0.005639807252698255,
    0.012284570679860947,
    0.03646129184733702,
    0.11669778046681722,
    0.18528236130967582,
    0.24649654635391569,
    0.22310184487680002,
    0.13397997588172217,
    0.05215300799523718,
    0.01322758451455349,
    0.0021834680774822806,
    0.0020343743919494137,
    0.0031869400393051022,
    0.003577309694811248,
    0.0038524818402332606,
    0.008959899569267127,
    0.013383509961643817,
    0.00837876974376423,
    0.007926797074423795,
    0.005233962298190329,
    0.0021417089985306713,
    0.0015089062432302662,
    0.0017915466788657611,
    0.004820340837439858,
    0.020932460041774778,
    0.09113121996300866,
    0.09811844331587544,
    0.06903086073177774,
    0.10128846394125147,
    0.10405370096582112,
    0.0615366493747808,
    0.024195151022045957,
    0.004817144070598533,
    0.002437794564198921,
    0.0010128194259384944,
    0.0010307930037844074,
    0.0028776520109374494,
    0.004634449668908944,
    0.015526477598044328,
    0.06536781631181385,
    0.09541719912492554,
    0.12234265774050027,
    0.1040265001232238,
    0.07519336282808206,
    0.05195466287337081,
    0.02354491684462499,
    0.003577202041264834,
    0.0026003893191706567,
    0.0021324401460526875,
    0.0014984338012722326,
    0.004226130159123486,
    0.013089109098741175,
    0.023953310291347216,
    0.0369193566314217,
    0.04353657792168591,
    0.02944332327368697,
    0.020789205554020043,
    0.009631511620943535,
    0.00932648860111914,
    0.02642683213680418,
    0.09511925176118059,
    0.17518558469850448,
    0.2938571364048076,
    0.41693664455533747,
    0.480251826377514,
    0.4838552740159644,
    0.4058559961308598,
    0.2816739056615699,
    0.11904195700332677,
    0.06417828303660306,
    0.06286071484735327,
    0.03535007027506642,
    0.028962333952537667,
    0.03543471150571773,
    0.03516819182569963,
    0.03344273902372297,
    0.03069924075365744,
    0.04730735141455063,
    0.061203008669406374,
    0.07082814716432198,
    0.11142242378732566,
    0.09970543706121168,
    0.0994603849698357,
    0.0863649464214578,
    0.04232696165715621,
    0.017521424638909006,
    0.0037690313032107134,
    0.003283796284645754,
    0.0031940979090419545,
    0.0027672323005092725,
    0.0020094504279248807,
    0.0021020211255666707,
    0.0025624087824259083,
    0.0042849842762006,
    0.009867566194119905,
    0.01221313136052938,
    0.022216372645714626,
    0.04167577957217599,
    0.06771805059862152,
    0.10283766886531065,
    0.14869633226723322,
    0.14146800645823063,
    0.1296007585984857,
    0.07285459388643963,
    0.020053911104088943,
    0.019508365354362782,
    0.014378940850177883,
    0.003862681048680213,
    0.004513437406197128,
    0.009767760386395138,
    0.012850190962088698,
    0.018345303346809935,
    0.02542676674156479,
    0.029395577126954994,
    0.03363378521708154,
    0.05245296744259439,
    0.08476772827369013,
    0.07022792207550149,
    0.03181996600108301,
    0.018120263212485714,
    0.007262741822322854,
    0.006763776926330042,
    0.01268166974496584,
    0.012436594816958189,
    0.011744580797486828,
    0.018205840107108545,
    0.025350288473184796,
    0.016714895546984174,
    0.006956068742168892,
    0.005575049678561273,
    0.012584058400208344,
    0.04844347908250345,
    0.14783698467576972,
    0.23921830366673197,
    0.14993523483336055,
    0.14466913258304115,
    0.11734956978094319,
    0.053506521972532986,
    0.014405684671574269,
    0.0066617827099972,
    0.007452509992237825,
    0.003300855323820009,
    0.0028575648073832934,
    0.005719591008520029,
    0.006755049481990266,
    0.009148259915706959,
    0.024014530359924745,
    0.06284453743988595,
    0.1423935011581752,
    0.1703590789257833,
    0.1071053370323594,
    0.0595685454081659,
    0.0378166402536784,
    0.01588410848611606,
    0.004407284392078028,
    0.0027223404356442058,
    0.00501831500009457,
    0.012458451235222436,
    0.02335409233047568,
    0.06570858509333484,
    0.1452994323221523,
    0.1589379216417851,
    0.10401362565037532,
    0.0878292343815411,
    0.025443997944161457,
    0.011939268788969825,
    0.007124726263903503,
    0.005275514510580149,
    0.01722570474694674,
    0.06074896339664233,
    0.09708598477670914,
    0.06920978318816326,
    0.052335469774112374,
    0.045618886080286136,
    0.038123924543529045,
    0.037067939657098,
    0.03448147023634601,
    0.028559913931126828,
    0.03863709209502281,
    0.03426988336740794,
    0.035473488991209674,
    0.020956634885406847,
    0.01697138082233131,
    0.017719522498131267,
    0.021282205905292804,
    0.054259186836434874,
    0.15604249687575414,
    0.41566699274804597,
    0.4330403325271521,
    0.29399740266177155,
    0.13384213380093377,
    0.030255848435983966,
    0.003565649689791742,
    0.0025024589360982744,
    0.0036975119300589887,
    0.006461233549576873,
    0.006829403431658706,
    0.004220842437316175,
    0.003918970473570335,
    0.004952790932628665,
    0.005476556602280034,
    0.006480787592267133,
    0.010463995796557332,
    0.017738252719892825,
    0.029481686262885148,
    0.04819872670555155,
    0.06711029755816013,
    0.07475844638910972,
    0.07439836399345207,
    0.0376988411585546,
    0.019982142495449884,
    0.02534405112949705,
    0.014530618200896406,
    0.004473011216881422,
    0.0044862339382886396,
    0.006067053455098385,
    0.010442701154348024,
    0.016012104307237096,
    0.04082477741548928,
    0.05666474780397317,
    0.04930962814988883,
    0.07830881923983184,
    0.09461407732684754,
    0.07542174724843657,
    0.047117337201731724,
    0.037662199040635794,
    0.03167170662935677,
    0.028330876842538686,
    0.011230394284759665,
    0.002655056596232394,
    0.0031786415263054413,
    0.004702209948342778,
    0.0031469329808527166,
    0.005554725766470508,
    0.010899316246482124,
    0.031057968610198643,
    0.09931124372536601,
    0.17856280163035967,
    0.20882358108747673,
    0.18410793166657438,
    0.1781293703201557,
    0.12056860216228948,
    0.06330703130557783,
    0.033492313103763105,
    0.014249751640140626,
    0.011282619302961124,
    0.005266507426608976,
    0.004468011085896449,
    0.007022154938678662,
    0.007982777002648902,
    0.015588561811701502,
    0.034142485964309056,
    0.06492289217698514,
    0.10134467134804646,
    0.08452052471888878,
    0.06318881167669242,
    0.0421082976934278,
    0.03312164604703721,
    0.01831527349487701,
    0.011595937283726387,
    0.006214766891483116,
    0.006082827792798154,
    0.003485194374606419,
    0.0025573842919004498,
    0.0027186503535221807,
    0.0029519813354543043,
    0.004407673065202918,
    0.009197215777113436,
    0.013097955302629668,
    0.013368148155549204,
    0.014928734780309792,
    0.0264696475398826,
    0.014303772393337029,
    0.009990676766010387,
    0.008862833343203627,
    0.0056364573499823375,
    0.006438679501021927,
    0.008836876333072577,
    0.048608314074098685,
    0.16451241304998906,
    0.14222841998916866,
    0.09671107551154969,
    0.055385189577412904,
    0.0632919989406679,
    0.0732155908778764,
    0.032340528694826114,
    0.011070982333409116,
    0.004982079872246063,
    0.004314142004221142,
    0.009120305714748237,
    0.01167945635118953,
    0.01132709697395164,
    0.018316029204286776,
    0.04311992473186313,
    0.05513353022330554,
    0.14240576125295018,
    0.27005940917730836,
    0.2465437956379517,
    0.1656209525956823,
    0.09766693811633033,
    0.04313808586578788,
    0.006953544153036851,
    0.0037510956462762043,
    0.0032862464611483943,
    0.0044524525552153615,
    0.008138126424617035,
    0.009684827096303101,
    0.02401017657252149,
    0.07013860899111012,
    0.17239337295162668,
    0.3454772578822711,
    0.4112264346331106,
    0.3861133428117479,
    0.4054787561971611,
    0.3567850202234077,
    0.19215662284151783,
    0.08080513776735083,
    0.020411215685131687,
    0.007059284741008711,
    0.007393477440083126,
    0.0026898309868003817,
    0.004396991482563956,
    0.010040892968761523,
    0.01015072360414103,
    0.00878144074212278,
    0.018644103414867004,
    0.03384654398661437,
    0.025512167301894213,
    0.012095832220474804,
    0.01294092598861685,
    0.030392860428266076,
    0.03718408030903557,
    0.03400638469281451,
    0.031171472439195984,
    0.02467793439243873,
    0.014305647564548092,
    0.007755305206349146,
    0.0030440915915568947,
    0.002333552755484928,
    0.0013603751730271612,
    0.0007068334717574921,
    0.0009185196256090197,
    0.003693101384237389,
    0.01521012663878391,
    0.047480626039147496,
    0.06899566552012609,
    0.061146680558846735,
    0.05511959361358234,
    0.023304979707991783,
    0.017380536123249506,
    0.012436406560763941,
    0.004958282738243023,
    0.002752432354096069,
    0.0010054383944661678,
    0.0008266525756803858,
    0.0015329567095899686,
    0.0014457648828455657,
    0.002621969843844472,
    0.0038976686585896203,
    0.004494375961420181,
    0.012167241055028834,
    0.031034666491829354,
    0.04818339437467872,
    0.07542789303179807,
    0.0695154990594667,
    0.03747422433115994,
    0.01446779029201033,
    0.0034904986303251023,
    0.0022275385901019433,
    0.003302561189698883,
    0.004860586768606847,
    0.008071516154585758,
    0.01706189101955689,
    0.04035811217146969,
    0.05056753363843004,
    0.04493848723158499,
    0.019201512801234936,
    0.009948287035932304,
    0.00862289015713204,
    0.01121456778129439,
    0.015407843832399064,
    0.029274003367429517,
    0.06732749636630957,
    0.10292131174939259,
    0.09152798673875066,
    0.0940407557958866,
    0.11430611325602169,
    0.08733455573362307,
    0.0842067719516646,
    0.09178150663135093,
    0.057759169688230194,
    0.027768145230646295,
    0.018857650192477347,
    0.018192817851545584,
    0.02677618773308392,
    0.066253212076845,
    0.12266647656831532,
    0.14360977938470554,
    0.14289256053580082,
    0.08465077850525998,
    0.059290209232016486,
    0.04283533083131825,
    0.021455280505421916,
    0.0051229466706206135,
    0.0022611920396599368,
    0.002352740641039348,
    0.0026542181940400933,
    0.0042519296180264015,
    0.006374621801988285,
    0.005399648686923098,
    0.006409192737984188,
    0.004797655957080423,
    0.00433144751867257,
    0.006410051787770213,
    0.011595904315716315,
    0.020918154828544408,
    0.041047783016730455,
    0.05227125123705632,
    0.0981874222873047,
    0.14311442342168415,
    0.1362714576657547,
    0.07924345342882577,
    0.02280175173495614,
    0.008750554225857262,
    0.010470194827733138,
    0.014473613986862222,
    0.028189577589897354,
    0.03229982234460788,
    0.026023678183706617,
    0.02956104007212908,
    0.03607277555743834,
    0.029077830268222825,
    0.044078473941957,
    0.09556063455700986,
    0.10837787082416386,
    0.14759175216866663,
    0.18916217929194007,
    0.14641952916797138,
    0.09309660944781098,
    0.08726249112496971,
    0.060472234591577065,
    0.01587491811193982,
    0.0075939478124432075,
    0.016405924670297774,
    0.018537273614967344,
    0.013455367726446878,
    0.011168864870222577,
    0.012086946173654817,
    0.017886741371983823,
    0.03856027642692447,
    0.06688342593217636,
    0.0965299416964247,
    0.07997725270911217,
    0.03658337301487487,
    0.026197021783752713,
    0.014829386992068488,
    0.005519225598581614,
    0.0030390404084773216,
    0.0035186586032604655,
    0.004286911682193257,
    0.005668186353657162,
    0.023548230656493897,
    0.06369903248347517,
    0.07477127911886912,
    0.08007579685272521,
    0.08393166517770362,
    0.06954423609462089,
    0.038177993888660396,
    0.016894639039429928,
    0.00556837623394579,
    0.0024402879877803703,
    0.0016356189459688073,
    0.001393543450055773,
    0.002834396836211074,
    0.0038742204741823477,
    0.007996563635018477,
    0.024331122083812693,
    0.037928093636508606,
    0.036785330404210136,
    0.02988706617039452,
    0.016497118800286127,
    0.01794500835480067,
    0.01569825388332024,
    0.012011614888744452,
    0.015874374635589807,
    0.03655393296267887,
    0.05860536732230702,
    0.051419523906194156,
    0.07876734933638786,
    0.08941226516075344,
    0.043621391952173655,
    0.030810991289861377,
    0.03947004312906752,
    0.030708579512536024,
    0.03075015440706598,
    0.02946844186365417,
    0.03611812776220662,
    0.04315118362889216,
    0.032370250466085104,
    0.024939558876429395,
    0.03291602039140627,
    0.04206007135704326,
    0.06699462789424081,
    0.1292643352818374,
    0.12690553356242187,
    0.1057123056809077,
    0.040997249604922424,
    0.019640010861488363,
    0.006771420901064816,
    0.003487544435956894,
    0.0035231789645224936,
    0.005837010499386541,
    0.006766115461918847,
    0.005463812083170476,
    0.005762305394869218,
    0.0148844815530087,
    0.034460321037079855,
    0.062165509412372394,
    0.08428428073005977,
    0.10099924350814,
    0.1402455739749807,
    0.18287568705150553,
    0.24866911694137536,
    0.23031172574225015,
    0.1315853883910763,
    0.042532814652289856,
    0.019719115705838324,
    0.026080677675950452,
    0.012677454932669674,
    0.0034442744951088946,
    0.005418290543370322,
    0.011321330949335625,
    0.0101042488053613,
    0.010070332278495714,
    0.010163993755352131,
    0.009617111254237757,
    0.00795663438431059,
    0.004881439596204905,
    0.0034127276268500423,
    0.008527221287085473,
    0.03720497024966344,
    0.07497072302005674,
    0.07896241170281261,
    0.06516955898529335,
    0.03495841393129421,
    0.008230688181257323,
    0.0030219459298072683,
    0.0025264970244135844,
    0.0030798218387394325,
    0.003322512687458182,
    0.004540189834695247,
    0.013621247477470393,
    0.03647385066876981,
    0.08146218142522679,
    0.12341190999988562,
    0.1548638731801067,
    0.15037692371602776,
    0.08311009863794631,
    0.08068567443898486,
    0.05096797632763256,
    0.01510460572294662,
    0.007602402430275948,
    0.003401131184439936,
    0.0048593689897596425,
    0.013577752803761955,
    0.016985259509160938,
    0.02566649867307252,
    0.04881306673423399,
    0.0630582010684969,
    0.11681530785380419,
    0.18281781052085525,
    0.18886476693156573,
    0.2003309038930787,
    0.15001953316958871,
    0.07584637441388109,
    0.03145561196512434,
    0.006319367722330321,
    0.0030596006559919613,
    0.004544761533407104,
    0.014431952632094245,
    0.04666223491808869,
    0.10273362286367642,
    0.13407842702292327,
    0.08502387756788812,
    0.028754518018178944,
    0.017848164039286844,
    0.00934017360833187,
    0.00399427204340017,
    0.007834961742279389,
    0.0363680198669875,
    0.07678525799398646,
    0.08759817056836719,
    0.13687117889944161,
    0.1365392306362402,
    0.047445058111941836,
    0.02562118994697364,
    0.01393399069367275,
    0.0049062208260975595,
    0.002004780906139785,
    0.0012338951455227055,
    0.0011515371150357101,
    0.0018022193190314188,
    0.002075037598022177,
    0.00373970924494504,
    0.00444149203956604,
    0.00751779895136005,
    0.02189002127705056,
    0.041100805662576255,
    0.041796022435172525,
    0.03179976249089664,
    0.035973790282182984,
    0.008847871257550814,
    0.001635389443943732,
    0.0012412541129938638,
    0.0014287532930360052,
    0.002181700917240143,
    0.0032923963740849054,
    0.002137244025267959,
    0.0012899534108520951,
    0.0035165845858416557,
    0.00929472656722992,
    0.01571895729847302,
    0.03480110655772848,
    0.04415372011457236,
    0.070568252717786,
    0.103676480111747,
    0.15044742486093454,
    0.22392178495544046,
    0.12943771887704522,
    0.04123499641898167,
    0.015700256122104773,
    0.02176050206907592,
    0.02663729472168513,
    0.018776430311749758,
    0.012191670186768516,
    0.017103995219267254,
    0.04655824170683644,
    0.06183162465125983,
    0.037793039976171075,
    0.010065311310374834,
    0.009654796287855923,
    0.013827070673934402,
    0.015082562984574001,
    0.02059385836871223,
    0.03610767116098885,
    0.05068819382603432,
    0.059230268284703305,
    0.08594382767513897,
    0.06019204859296941,
    0.03760820331805206,
    0.019046689264827086,
    0.005720653233586687,
    0.003361365296093821,
    0.003371415523242862,
    0.004011316636902727,
    0.006001110007553076,
    0.008164043350468449,
    0.015529801445667095,
    0.026324745605406222,
    0.061875736539971485,
    0.10152107264821869,
    0.10584047167544212,
    0.11481306352766618,
    0.08558503022660868,
    0.06475011642087895,
    0.022760500231205048,
    0.016722242087145428,
    0.005017578778701908,
    0.001006729649400649,
    0.0015173091418047473,
    0.008298811365922205,
    0.025072591836787384,
    0.05827365520087717,
    0.06567418511575521,
    0.07062028591519706,
    0.0735442175618751,
    0.06312580041356472,
    0.0512570730424362,
    0.024234492182374376,
    0.008142246718143752,
    0.006311836163531514,
    0.007014891897709355,
    0.0042279395087291135,
    0.005052170484140055,
    0.006448420664386122,
    0.006471305607106762,
    0.007061775716820708,
    0.00909136505667159,
    0.004805712431396047,
    0.004761230088570698,
    0.0038440735754212557,
    0.004765504093109025,
    0.016761937392628087,
    0.047194052207062145,
    0.09573887691058838,
    0.18527578841322434,
    0.22720894161309782,
    0.20349833087097363,
    0.21475197298694035,
    0.17534805659055402,
    0.13548636370608552,
    0.09598403384415707,
    0.059678769883199784,
    0.05543536630897811,
    0.09030309549288747,
    0.14124603182061493,
    0.1713761754661038,
    0.24761293661222217,
    0.33836272104999293,
    0.4232717708446903,
    0.4144778920078745,
    0.34177129578857157,
    0.26101992061413776,
    0.17026448782825213,
    0.08664174520620929,
    0.03931832652458634,
    0.015059791738733121,
    0.009340046230401073,
    0.007733721914584043,
    0.008228033940512634,
    0.010950173315688252,
    0.007541303457473156,
    0.010319106064234944,
    0.009364136810293149,
    0.005135267538227018,
    0.004354730447610597,
    0.005551773664249547,
    0.004223578526217178,
    0.006080331722493907,
    0.016628588654299253,
    0.04698883973011333,
    0.0948400635687688,
    0.09674678848507574,
    0.10222796421133397,
    0.09095960286767793,
    0.06286651556881158,
    0.04491295176778944,
    0.01694343498109804,
    0.0054596994209424494,
    0.005183941949235706,
    0.003863204538548233,
    0.006773847814660207,
    0.015876319176217575,
    0.009790416171440256,
    0.0044679847924187525,
    0.009527214765798857,
    0.010107739161998858,
    0.0033778645371887375,
    0.002671292846838659,
    0.005731753235411118,
    0.014609942574266493,
    0.029074491591815962,
    0.059483400359225225,
    0.07887801505358293,
    0.07931482598500336,
    0.05286893092740991,
    0.011518685707350033,
    0.0060184959440311965,
    0.0032290224650218476,
    0.002563561353286166,
    0.0021232675267447536,
    0.0017515922782069164,
    0.003000500959340584,
    0.007835450162123309,
    0.02661221437131388,
    0.03909069166322693,
    0.040981654102602336,
    0.06882295231304192,
    0.0864773864721827,
    0.06346134659574783,
    0.04045913560901166,
    0.016487134383280776,
    0.005810373291305607,
    0.0031446490282084597,
    0.002939050327852587,
    0.0028640281151819636,
    0.0016954491548589364,
    0.0018768542777465626,
    0.0030595865225432205,
    0.007296885351121432,
    0.022007479932274893,
    0.0416325808843586,
    0.037198540111108784,
    0.03755259168641404,
    0.043826936162375124,
    0.02590276941250177,
    0.018207180998502825,
    0.020885400552246188,
    0.014674071870106402,
    0.004706743912344944,
    0.00411732005906118,
    0.006562923433293385,
    0.009719051463492263,
    0.021133863996220657,
    0.0413163912724758,
    0.028166387988475875,
    0.038612158925912896,
    0.04096787638587507,
    0.015398927397109595,
    0.0032583145048247202,
    0.0033349777988924373,
    0.0060693919635531985,
    0.008900300541266563,
    0.02540536426733489,
    0.04794883108986333,
    0.040333880080357896,
    0.03444910638795965,
    0.02615714727980384,
    0.0336014501481133,
    0.03117065255645569,
    0.020921003042429442,
    0.01602062111793293,
    0.01607569132848667,
    0.017800447391311307,
    0.017151431670784846,
    0.01590351723676778,
    0.025576414876552447,
    0.04486638842862236,
    0.08311055111553917,
    0.1601895375098241,
    0.24875965469627598,
    0.2077637589166917,
    0.14050338730979767,
    0.10951267581201349,
    0.021694436447509558,
    0.004121349457887496,
    0.003759443306679219,
    0.004841474861260016,
    0.00625861938901668,
    0.008227811532694859,
    0.006131872325142813,
    0.0023780405141288277,
    0.002899511582340663,
    0.005843168324026547,
    0.006394324954868787,
    0.00982177528811452,
    0.022396783375969558,
    0.055660853707944734,
    0.10712568675059192,
    0.17502709357649757,
    0.22801540303863782,
    0.25215928877610183,
    0.14455989812216666,
    0.03564507887815746,
    0.026595076692020443,
    0.012639976408399974,
    0.0023186417697350532,
    0.0037451945394051207,
    0.012605105507355007,
    0.020708409363053914,
    0.03859866005917991,
    0.06559952164760846,
    0.07429458928571761,
    0.05150942573733577,
    0.041342681324923636,
    0.021334232735210252,
    0.008074479205539765,
    0.0038849111233097734,
    0.0025026292915355797,
    0.0016882577367196133,
    0.0020823425675064186,
    0.00483559204213289,
    0.018126309198788687,
    0.03627087560560392,
    0.050474932443425324,
    0.048323724544297404,
    0.07449773931896306,
    0.0533547762615368,
    0.010540750246469038,
    0.006223819896968049,
    0.01949168554844438,
    0.01464318161572473,
    0.006730885147444768,
    0.006717178493894655,
    0.021136934073968834,
    0.07188084592650526,
    0.12247808800643528,
    0.12727502716980227,
    0.1123422119158046,
    0.08831893818139197,
    0.04222028161902499,
    0.04210682237698092,
    0.017762971193420355,
    0.008935828703775595,
    0.006990244347045223,
    0.002523714600839318,
    0.0024087914795120676,
    0.004089321377209118,
    0.0032330699057009113,
    0.005782168964439561,
    0.029005161693413748,
    0.09950800343236124,
    0.23173016005547045,
    0.30706319540704385,
    0.28027997191581716,
    0.18047721355659033,
    0.06424034597521351,
    0.016989098995538177,
    0.005823536685124162,
    0.002469710533480455,
    0.002584481340568478,
    0.0030206818699383456,
    0.003910479065988778,
    0.011514775521781153,
    0.02677360131204876,
    0.021897825099960806,
    0.020041665811985177,
    0.013574312968381156,
    0.007263427265039129,
    0.003620260093086483,
    0.003503649037546707,
    0.004706686005384488,
    0.007665611954860425,
    0.01546295510848385,
    0.029706942455134375,
    0.0249286691790841,
    0.0215199360240917,
    0.026448690546050337,
    0.02941900424518026,
    0.0439676235112316,
    0.04418520376912886,
    0.024371378558735394,
    0.021017166766476005,
    0.010519086613694273,
    0.006969330648402718,
    0.008747243315085397,
    0.01719024522128398,
    0.03713343758292609,
    0.08065320728880936,
    0.08784126473180395,
    0.06100254319164788,
    0.03466272329770287,
    0.018874789026871515,
    0.014611090639796223,
    0.00896664248688479,
    0.003100021170738732,
    0.002005852988078264,
    0.002292256729889813,
    0.0019116505187705033,
    0.001775784568016704,
    0.0012886376134982678,
    0.0007578567636086208,
    0.0013887637781601167,
    0.002917003627976996,
    0.0058660866619640335,
    0.011124155213404771,
    0.017306955758632264,
    0.05041010455957025,
    0.10024913251630437,
    0.11065129248118505,
    0.07906650583874683,
    0.07136041201767543,
    0.048035506746131273,
    0.01688925691693918,
    0.01156548055401917,
    0.010900164666295068,
    0.006613869300996917,
    0.009632229483443954,
    0.008511789365256262,
    0.004119435933356367,
    0.004563210151423918,
    0.004115692413606378,
    0.002060036065837964,
    0.0016965015515364758,
    0.006437357345573282,
    0.0129585307780733,
    0.007468190674345097,
    0.005472257358855662,
    0.004049929773597854,
    0.004233464766814227,
    0.0044827172263464604,
    0.006009813549052163,
    0.010556847002409548,
    0.021944677803004183,
    0.03724843934998131,
    0.06001616557769543,
    0.08582525961097336,
    0.10674518277363303,
    0.09252417079683099,
    0.060083881329735196,
    0.03659605950526965,
    0.032707357410617165,
    0.021246947118368727,
    0.013280323194351556,
    0.01645531071509266,
    0.016682269671505,
    0.007761213925736447,
    0.008695683772406837,
    0.009427868080852926,
    0.01039618012944816,
    0.019341099552827,
    0.03212074966008565,
    0.03687638837991355,
    0.030753277650599535,
    0.029009561023895323,
    0.0207907179890769,
    0.019306214400026934,
    0.012526444777302803,
    0.004050288278464508,
    0.00330755283851201,
    0.004757506619695895,
    0.005702130044622531,
    0.010397369011858353,
    0.016817785208316824,
    0.025495735702229724,
    0.04776655530435265,
    0.09641146043170394,
    0.16106967809492415,
    0.1701716103287664,
    0.12747916133937753,
    0.060700577828206204,
    0.02509958610660641,
    0.008937139951380818,
    0.006077382254279259,
    0.004875485948549313,
    0.005528888108922772,
    0.004991245370041087,
    0.010947894492557682,
    0.029771555658757453,
    0.03781789108435512,
    0.05121909216389659,
    0.0560023676749858,
    0.035033305766818235,
    0.027250124278390762,
    0.021398685228002628,
    0.02549238212772034,
    0.03645041738072281,
    0.037199176279993106,
    0.06862218090068982,
    0.13243717073345013,
    0.19674705374020077,
    0.2065809092370064,
    0.07732482528315798,
    0.04446184535178023,
    0.03870937644248701,
    0.020870842423994115,
    0.01781336255911452,
    0.006143862199847753,
    0.005873196817067857,
    0.007679775780500985,
    0.004658088425763487,
    0.005200512697997408,
    0.009874034978890013,
    0.015180926200700941,
    0.0391659486190347,
    0.09087989045216578,
    0.11661402676272667,
    0.08286114714251064,
    0.03842210278882627,
    0.02767086715574893,
    0.00826342846257883,
    0.003865695119413207,
    0.0018816316753627925,
    0.0007986212675429132,
    0.0007397693884412163,
    0.0012862485481215003,
    0.003493986444435506,
    0.007312666012638905,
    0.013339324803854856,
    0.0360741185302987,
    0.07655116814993933,
    0.071403848429173,
    0.0910393225509289,
    0.08104336945537363,
    0.06800651281629641,
    0.035566071272658546,
    0.0314821613919696,
    0.012756753664478614,
    0.004379221449834287,
    0.00330260444784512,
    0.004633599793312819,
    0.004182986796555002,
    0.007407078937482326,
    0.012981613024374072,
    0.011520555706134198,
    0.014481252632540957,
    0.024112588247748132,
    0.024644016749825658,
    0.01216892416005883,
    0.010632134734947956,
    0.017057302035306376,
    0.039806622459245926,
    0.05879396143279563,
    0.07458420829661035,
    0.061022408644708113,
    0.048438165652312154,
    0.01624455470982485,
    0.0026332145726661754,
    0.0028231497447159903,
    0.002283474725055964,
    0.0009093095523910685,
    0.001135786836403587,
    0.0018889151861584059,
    0.003184812751909671,
    0.008741107376147812,
    0.023302485134278492,
    0.04131348669410864,
    0.05423650686342293,
    0.05758421448861101,
    0.027554798754921804,
    0.02592754843087766,
    0.016519879939945775,
    0.006145610560971197,
    0.004120804058260064,
    0.001368631803227149,
    0.0010895954350453334,
    0.0015218158686530156,
    0.0013362780716532124,
    0.0012071526437667012,
    0.0012973771465654234,
    0.0020124145197407475,
    0.006061569220923714,
    0.018210814467823678,
    0.044708291069237086,
    0.08024985954948603,
    0.07598295279592167,
    0.08543033472820723,
    0.06015153911665121,
    0.016791111535205815,
    0.007420089662471265,
    0.005440930718801659,
    0.005734268610098919,
    0.004952600301659078,
    0.004541408794899791,
    0.007850318868678041,
    0.01597826815392206,
    0.022371059836610672,
    0.022577122869880787,
    0.027111739583331778,
    0.01874976222821918,
    0.017343990780784597,
    0.008525392175324551,
    0.006781141883240371,
    0.006239995735611769,
    0.008667248590184858,
    0.010429273661172774,
    0.010282023446314707,
    0.013048612856387766,
    0.008457215134036026,
    0.0036507368390250516,
    0.004071409479481766,
    0.005890257275365073,
    0.004257241948431544,
    0.003357955712500842,
    0.003558657209529209,
    0.007724227546665796,
    0.010318753148528627,
    0.010387791242554206,
    0.021969869348807767,
    0.06708295244963737,
    0.14434320231993403,
    0.20664439512237032,
    0.2593339113645791,
    0.17411884411571293,
    0.07269424634927982,
    0.0633575376998492,
    0.04324913565762315,
    0.012687498324883863,
    0.007625419420952824,
    0.010586371488034757,
    0.010108138037301049,
    0.007084374645384757,
    0.010288676760457551,
    0.016497515959582404,
    0.01916989806367529,
    0.018157020466208384,
    0.01793459805715006,
    0.03185259244598483,
    0.03384851104057446,
    0.022081595634296736,
    0.024867917882562453,
    0.026103027866038794,
    0.02682591952693376,
    0.029564858882558043,
    0.06719466000449124,
    0.10853324332242552,
    0.09844934895504759,
    0.058031529376119495,
    0.010351630045976033,
    0.0035621819310320264,
    0.003585560910146388,
    0.0018409953066693162,
    0.0028519568225361877,
    0.008562609033995028,
    0.01227463004488192,
    0.01610374538996412,
    0.015249263918962516,
    0.011537103979338938,
    0.0076861118202819385,
    0.008477528987385047,
    0.00922491646375344,
    0.010978102322407732,
    0.021140248952806043,
    0.020026332949001614,
    0.027459184257283983,
    0.017865866583238996,
    0.0031595664409782955,
    0.0016249931120367914,
    0.0017333359456302715,
    0.0013590216598069506,
    0.0008651834300819854,
    0.0007384836559854638,
    0.001028086695554999,
    0.0023856439302212553,
    0.007173125102794903,
    0.028166946449653712,
    0.07586625845458293,
    0.1276082705181898,
    0.09548384207730186,
    0.059787805591109744,
    0.01640265616481535,
    0.007345318802236533,
    0.004099866517225118,
    0.0016467545931151853,
    0.003335723960456818,
    0.004798920995825632,
    0.005788245171846475,
    0.016697995834900402,
    0.033660590973332856,
    0.03608488910195516,
    0.0621319390806207,
    0.10179665383460336,
    0.09774232455913165,
    0.05346437719194544,
    0.04516993625551265,
    0.0160171590687323,
    0.0037381055619145442,
    0.001483169897626141,
    0.0007269772928013365,
    0.0005672182597018138,
    0.0016700887133022525,
    0.009409237652332321,
    0.0185047264751982,
    0.018468666495858932,
    0.025487171349427816,
    0.0259277011335516,
    0.010009517225212509,
    0.004233581991891697,
    0.002417021778995453,
    0.002508406918087198,
    0.0066717162527738325,
    0.016496990327607736,
    0.040013026913746835,
    0.07236445781162971,
    0.07629071128891345,
    0.03130048677029523,
    0.018323983798828516,
    0.013240708132729135,
    0.007204813708218552,
    0.006952743692689909,
    0.007203123351752232,
    0.007584036790951808,
    0.010761944595161277,
    0.01185404860356258,
    0.015838463028587813,
    0.037274463492468345,
    0.10698146709392778,
    0.16615892742329286,
    0.20054233506381702,
    0.13795575550553832,
    0.08676148162528868,
    0.044118920754039954,
    0.01089858564684757,
    0.0026674440972464736,
    0.0027515972837485535,
    0.0026811716926308233,
    0.0025828522456441353,
    0.0034143063546083438,
    0.002198735176968947,
    0.001004742877378179,
    0.0017181781699300927,
    0.006116484745015085,
    0.010711689685501997,
    0.0154700272277556,
    0.03657580958969416,
    0.07531307335902072,
    0.07527746643743803,
    0.06975470592471425,
    0.06093215296991013,
    0.06434561447761263,
    0.04931838569851427,
    0.019883530556908516,
    0.016705316973625806,
    0.014535142439408536,
    0.004997676509109983,
    0.005184922331488978,
    0.011443814233270339,
    0.011116814235762757,
    0.00992475370965393,
    0.01417386335636825,
    0.01668398258730102,
    0.021433923853862263,
    0.02588221112354158,
    0.043748929023717735,
    0.09078337420697369,
    0.1354430486630987,
    0.21298417716585608,
    0.28838852302703094,
    0.23897326892583914,
    0.06980540879138379,
    0.012569402785636112,
    0.006835282208081162,
    0.0038261368933418995,
    0.0025494266743875797,
    0.002333397350042043,
    0.0033272550455226957,
    0.009475084462125409,
    0.022993469195051085,
    0.04705032993358313,
    0.0720689880978572,
    0.09159319418867518,
    0.07951937345996311,
    0.03248329069980266,
    0.027531319012049593,
    0.016674500565769905,
    0.0082148102278225,
    0.007884894004184892,
    0.006018248274241947,
    0.00910253631215277,
    0.014074516657522348,
    0.010463712094657263,
    0.011154029035704572,
    0.014923384498808777,
    0.023324485367942696,
    0.05798019694609351,
    0.06350840171805892,
    0.03267060688605045,
    0.019216475729451996,
    0.018239039524809143,
    0.018585735926209945,
    0.016247346554101576,
    0.010291964422696387,
    0.007614745513832307,
    0.013411475346256313,
    0.026005786477006618,
    0.01956660494093229,
    0.01666448408067683,
    0.008231931126635318,
    0.005550612984311571,
    0.003014594565991341,
    0.004458559208312316,
    0.017511884478130832,
    0.054499095911635,
    0.09386476284886618,
    0.09623240597051905,
    0.08924163827574509,
    0.08674594827999615,
    0.056603446692684835,
    0.0614307319096013,
    0.05644120996899687,
    0.028326790336105048,
    0.02063132992115597,
    0.016841068423124387,
    0.019803811281423594,
    0.02959717701020185,
    0.027993300214967966,
    0.041023440115863785,
    0.06959391160945903,
    0.08431685335147002,
    0.09412937851689203,
    0.13004843743506414,
    0.12757759960481213,
    0.11668251300471598,
    0.0890112429415578,
    0.03933221036859385,
    0.010182613032754534,
    0.0035785541410855615,
    0.0032591683404694545,
    0.003510481681969922,
    0.0035114535476024108,
    0.002588217907716809,
    0.002113894943555586,
    0.006283131826322428,
    0.021531725840053147,
    0.03850721364987355,
    0.07741451078815419,
    0.11657170032097026,
    0.11743157674278498,
    0.07289576196198669,
    0.08519734849673478,
    0.10135719389725655,
    0.053419502692000895,
    0.014918217239533344,
    0.007801237489378855,
    0.0046421475661271435,
    0.0038057363506331515,
    0.002153910374523112,
    0.003959549045817744,
    0.007788891901391792,
    0.007651881311880604,
    0.007662031067154403,
    0.006411128809027569,
    0.00506758028313412,
    0.0042437053795838725,
    0.007078035257569191,
    0.01266322452645228,
    0.02448506871213839,
    0.04608345961150104,
    0.04649668110953438,
    0.020733760957843357,
    0.0230706717907637,
    0.010577426456643358,
    0.0019287333072408983,
    0.0017542357298047267,
    0.0014929862971549519,
    0.0013306482759339873,
    0.0024950140889179848,
    0.004542608482897738,
    0.009385705574395019,
    0.026556332691776822,
    0.04876090889819908,
    0.0681462102733224,
    0.06353741296136382,
    0.03195856925217124,
    0.02679334695332492,
    0.017365148669429755,
    0.007347950913300359,
    0.005530824621021534,
    0.0029551304817170094,
    0.005372946716183385,
    0.007246097798479504,
    0.004016118351754202,
    0.0038847629387710582,
    0.005985247331192334,
    0.016159633921201455,
    0.0428338181934175,
    0.0901992676034103,
    0.13586730517271714,
    0.14447102015710594,
    0.1432686443237774,
    0.06843060987733628,
    0.01016701883384259,
    0.00535366525103784,
    0.0024589545534096737,
    0.0016966020816234953,
    0.002280611289467465,
    0.0050532239835049345,
    0.024614733403408303,
    0.08304365544061175,
    0.11928597216974726,
    0.1002281785033299,
    0.050985486394074304,
    0.04035311383585223,
    0.02184971583011629,
    0.010353424677473681,
    0.006792197283345371,
    0.004446181977102456,
    0.008199596325297187,
    0.012252257227026627,
    0.01480814943657624,
    0.02121713059312087,
    0.021254372825860183,
    0.02144375804795783,
    0.017909173275425825,
    0.010301442684511199,
    0.010047666187394154,
    0.013271452865362408,
    0.021522154085298086,
    0.01717649522427468,
    0.01720769856641178,
    0.03018122859965645,
    0.04911977800866786,
    0.08803739783659378,
    0.1526235397816437,
    0.16968831360675637,
    0.15894517175348896,
    0.10174866251401028,
    0.08179541934559256,
    0.01828218046013404,
    0.004530450487009062,
    0.0036634098444657107,
    0.003813693678880303,
    0.0029670589507705294,
    0.003795998696615813,
    0.004964100500761035,
    0.008951372297714567,
    0.019406460685620984,
    0.032882213328806746,
    0.043337105357989805,
    0.0686171165081589,
    0.10349357330993811,
    0.1375325448409346,
    0.14857058326812006,
    0.1443123088982562,
    0.1381760389076013,
    0.12926986654177877,
    0.07954931579555591,
    0.02666884045114824,
    0.019581612181962377,
    0.011104273203659113,
    0.004306086999047607,
    0.008467043999506365,
    0.017090679721926502,
    0.015070819689108325,
    0.0148864653690322,
    0.020323262051039872,
    0.021847379548607056,
    0.02037238071478051,
    0.016493739439405367,
    0.017195368262149555,
    0.026125731077932826,
    0.03899554157490639,
    0.049063730859269156,
    0.03510128143961067,
    0.04720828386100853,
    0.03283779663125871,
    0.008061829837445193,
    0.006617386071014572,
    0.01064469047550101,
    0.00725829649146052,
    0.006249692799468998,
    0.009546953132138913,
    0.024190225717372563,
    0.05789708793614112,
    0.10646547986709931,
    0.13325973692821572,
    0.11909086515287086,
    0.13884479292312774,
    0.07299312383769249,
    0.054001962968210776,
    0.03351228104944678,
    0.013995791061557947,
    0.007398287571962756,
    0.003230975202183008,
    0.0036117597260511445,
    0.00415473331110042,
    0.002981404607372311,
    0.0034325807335635213,
    0.008051866705368891,
    0.03251738528030335,
    0.09214936138583013,
    0.13701423903420198,
    0.13068119891845312,
    0.08574790512352927,
    0.0528529127174077,
    0.020428757550649174,
    0.011450391606715177,
    0.004733295589556165,
    0.003934866133757559,
    0.005650724633300545,
    0.01210203775716185,
    0.030079096415385084,
    0.0649450737778564,
    0.08905850932273161,
    0.08936351373255001,
    0.03458401816710789,
    0.015212700000552868,
    0.005521174876506748,
    0.00292567365386612,
    0.004183263647070086,
    0.008520314959227332,
    0.018868921372738268,
    0.03125616547122571,
    0.05604564776733438,
    0.06980620472668628,
    0.07553116005624567,
    0.07248931042310984,
    0.06367626537251053,
    0.041332396737973544,
    0.024193844601897017,
    0.014274019589272626,
    0.015286283118495485,
    0.032576911923099694,
    0.01990126264280426,
    0.0150697078159929,
    0.027211990057537182,
    0.0488768159826093,
    0.06297898752501094,
    0.07807267962392868,
    0.08053282007860788,
    0.05710136398912426,
    0.03748350929794188,
    0.017783730029620255,
    0.007916839473841602,
    0.008986285941204224,
    0.011822309013781273,
    0.007652004301576083,
    0.007464583049408129,
    0.006915396271162205,
    0.0061994420904094875,
    0.007308956227356805,
    0.011228217944467083,
    0.024888975913501032,
    0.051752540909002824,
    0.07849785913316237,
    0.0936599524884827,
    0.12949603228205364,
    0.16251173652340803,
    0.1987780501167935,
    0.190351634603631,
    0.14223338052103163,
    0.06295672984934624,
    0.025983848729191045,
    0.03899644143144296,
    0.015098523394318756,
    0.0039793802989305654,
    0.009368919184680797,
    0.02530500853471568,
    0.01822173006338855,
    0.01619701032027151,
    0.019253411111963846,
    0.015769474268947044,
    0.013622043728670112,
    0.013622655434018503,
    0.01962813231338354,
    0.026687481465805015,
    0.03534419191920154,
    0.05222029125954101,
    0.03745193172475219,
    0.041616427371906094,
    0.01766236419392808,
    0.0026860702015052643,
    0.0025202949553660282,
    0.002875605756859833,
    0.0026237137768426256,
    0.002952782901133684,
    0.0042636001529364875,
    0.004646919988478078,
    0.005695240910178472,
    0.0045746073806131335,
    0.00505239989048216,
    0.00912884011120225,
    0.022486303910828755,
    0.04663349678071989,
    0.06262974553647303,
    0.07936236134938936,
    0.07064838522694306,
    0.044088320341868714,
    0.052474957915401986,
    0.03428323218118519,
    0.027051033698121344,
    0.01444375854089094,
    0.007859212219548191,
    0.009712756262311096,
    0.008784803885292063,
    0.00798587251251842,
    0.008809149669525068,
    0.018357648381999516,
    0.042000823973240634,
    0.09574878803619707,
    0.19779994295026165,
    0.2124271366137272,
    0.10716604861509384,
    0.0612840718541219,
    0.02969574680705739,
    0.011201003853725909,
    0.008989680230661662,
    0.008690078550142338,
    0.006243887102123668,
    0.005336408534921134,
    0.00671909569987277,
    0.015858333044051782,
    0.040959995121163446,
    0.04204929155317674,
    0.018963353151544158,
    0.013389079911632483,
    0.014789005512663461,
    0.012602830712119446,
    0.015460212562099845,
    0.027883414216845016,
    0.05544056849571438,
    0.06529239654162292,
    0.06696088718757516,
    0.0669416109013791,
    0.038653822604728924,
    0.03981059202007835,
    0.04641057819492753,
    0.03665977406006252,
    0.02733015341640478,
    0.02243728369138219,
    0.01672026993823983,
    0.013441359744349821,
    0.012085478579636197,
    0.018762560382118945,
    0.06122620322676003,
    0.22709617560939166,
    0.4176208284112211,
    0.4916232497373579,
    0.45109671537298524,
    0.3091451787040038,
    0.2050543330595602,
    0.07646970066757337,
    0.015401424842742751,
    0.0175462341207197,
    0.015662866052144335,
    0.007321812663298721,
    0.009124987031478042,
    0.010605513675372207,
    0.006752144031583508,
    0.00928511468540599,
    0.012143688268991759,
    0.024138276670900356,
    0.05328058396168316,
    0.12196634433696076,
    0.21104505340174456,
    0.18978668478120153,
    0.09714294328335563,
    0.05521602884002408,
    0.029636123162995867,
    0.014187215070778855,
    0.009832863683989548,
    0.008056506911746813,
    0.012047865931242813,
    0.006451093129688592,
    0.004570309431204,
    0.010071149629228079,
    0.008414986619642064,
    0.0047080842468840926,
    0.011208711314530764,
    0.009322964844431904,
    0.002522909994059851,
    0.0029476449945459943,
    0.005716348937563772,
    0.005598570791226189,
    0.005186502480796664,
    0.012659446833300466,
    0.03168841485121781,
    0.040389762691770616,
    0.017402345827386145,
    0.007194703861824376,
    0.0076321026126438245,
    0.004809886233314915,
    0.002080816419836766,
    0.0017215807931379103,
    0.0029927130685347006,
    0.00846943122539967,
    0.016670679708400075,
    0.034513809105765965,
    0.043972779553497196,
    0.04226353958809864,
    0.023690065635351875,
    0.013796106556691211,
    0.024129923563689558,
    0.029168417015260597,
    0.01791405981161229,
    0.00928110035175974,
    0.00492411595222265,
    0.0033651479126833197,
    0.0029044248686263363,
    0.00420321147938224,
    0.01400318035817416,
    0.04479388672547677,
    0.09834416628898762,
    0.14583387035383125,
    0.15679282106863682,
    0.1597355226680931,
    0.14963491815990962,
    0.06362121173794073,
    0.017109208397648047,
    0.009514454248473823,
    0.0059971173436053765,
    0.0034088672051490387,
    0.005239951190932791,
    0.021512028804185047,
    0.04353868207564347,
    0.05982911949787128,
    0.060141282694691364,
    0.06344285700458045,
    0.029184463529921705,
    0.011495432349446468,
    0.006251851569304928,
    0.004409319061271393,
    0.006391632933493003,
    0.01710344779309907,
    0.05259725382919394,
    0.08387117008055259,
    0.05746407987114253,
    0.03340800076129627,
    0.036782978418045495,
    0.02358084199769983,
    0.010568301639679081,
    0.017687827852441922,
    0.02321995773987007,
    0.01815211557635064,
    0.02806251352168725,
    0.039187631831044976,
    0.05111214660361414,
    0.06110909585771666,
    0.037937180046058,
    0.033183739900719406,
    0.06430563810581799,
    0.12379310548440194,
    0.18666614256101008,
    0.23188348955376217,
    0.18378977626173706,
    0.09826695811302438,
    0.059896331445419455,
    0.012152573864782993,
    0.006142994063630651,
    0.005372311648924769,
    0.006183672422698049,
    0.008789457126632679,
    0.016547501048361963,
    0.03813120706112626,
    0.10344451217587322,
    0.18067874636798106,
    0.21523889472769003,
    0.20101619084553057,
    0.19089081639009997,
    0.1472693058687564,
    0.1388383354000849,
    0.12207556256065118,
    0.04999847182492598,
    0.028875717026170176,
    0.030095484356637326,
    0.01663721818936286,
    0.006052274396446263,
    0.007932410947941127,
    0.02513685446646243,
    0.02784701502649544,
    0.019533104866042383,
    0.038806383746472724,
    0.05146270517669304,
    0.023184951418004224,
    0.018920992043738462,
    0.03451279302654678,
    0.060585255749350114,
    0.08877043586935496,
    0.10539793597320453,
    0.08955992423434322,
    0.06465769465112926,
    0.02183894015442489,
    0.006593776534429357,
    0.00809675183677307,
    0.005201955829348328,
    0.0048934598203198695,
    0.003943195360945517,
    0.003230373394269679,
    0.006564958646158254,
    0.009502482698707565,
    0.017509711748075838,
    0.024814608707173277,
    0.040362920237814265,
    0.06152035621718237,
    0.041059357001265076,
    0.04676681383351667,
    0.02422631675406468,
    0.02098207411983572,
    0.025092790456546027,
    0.00901929780831345,
    0.004066039863719458,
    0.0035457170006431412,
    0.0023649280925886512,
    0.002426709870369872,
    0.0032724698278291412,
    0.0060583375507932925,
    0.017882151294112643,
    0.030699376876642596,
    0.02681587482511063,
    0.027779946951219714,
    0.025080950886214835,
    0.015647375587122196,
    0.011696973500431227,
    0.007734745192593651,
    0.004533959523536075,
    0.005297249587969423,
    0.005519647056167139,
    0.005557656825259184,
    0.017501893333049037,
    0.05471637932330106,
    0.09145874391198987,
    0.11553829709294572,
    0.08705774933759454,
    0.031790279116092376,
    0.022911051431691924,
    0.018267983156469103,
    0.01272990434433925,
    0.015810917124628305,
    0.041531039909951536,
    0.07110837644147909,
    0.07697977388884236,
    0.06993541240281335,
    0.07791468056227135,
    0.078254743085949,
    0.09730696973462437,
    0.12651957638839706,
    0.1339509453750452,
    0.12840299263015886,
    0.10775883277057371,
    0.13970362662887176,
    0.2279586833632865,
    0.1988589461663614,
    0.2384849800886686,
    0.28724684127077993,
    0.3014613691083443,
    0.4018442653148832,
    0.5194028339970225,
    0.41619219897234144,
    0.22077120275430664,
    0.1253429650940296,
    0.06021696334943801,
    0.011817923342181078,
    0.005572791688267062,
    0.00877111724566511,
    0.011093606405006713,
    0.01030677022760395,
    0.012071638080483123,
    0.01481081540904038,
    0.015040443661509568,
    0.00926687326239257,
    0.008123921101598493,
    0.011756328845460549,
    0.018909811317635153,
    0.03953089298202182,
    0.08872292243422901,
    0.17280663827092416,
    0.2694119014593939,
    0.37795479559802164,
    0.26846073782421054,
    0.06063500412849881,
    0.03504261329789897,
    0.01420166391310649,
    0.0041407221505342,
    0.007165345055576343,
    0.012849776325203479,
    0.022034663879421518,
    0.035439819497094696,
    0.035945268691258435,
    0.026391388695336058,
    0.013017370921663107,
    0.021480324301413466,
    0.046077525493369215,
    0.052819946099723444,
    0.07619390454078358,
    0.060567647213655956,
    0.05944233898107761,
    0.05593079416650935,
    0.03745814306885548,
    0.028398366436774004,
    0.036873757128936445,
    0.033911855643800365,
    0.027774683961505193,
    0.030494415917445984,
    0.02435543243987593,
    0.020428270915756285,
    0.055325253359707255,
    0.09036517220380705,
    0.06076326160815212,
    0.06400540077385067,
    0.06004915197857259,
    0.024329376941432775,
    0.011963000999305234,
    0.006722416863345457,
    0.008095957916341543,
    0.0041584800523761884,
    0.0061338879050766475,
    0.0206427590142203,
    0.03865454968785933,
    0.09889616131769309,
    0.25123188392180557,
    0.4110282576342934,
    0.4387972852880297,
    0.3687488218233252,
    0.2177532659125213,
    0.06485662670250081,
    0.013567008052499854,
    0.004990391279550988,
    0.0043601417237140875,
    0.005032759380213291,
    0.0039809305846649,
    0.005792948874553137,
    0.018583122174465828,
    0.04022382782957866,
    0.03912636753963966,
    0.04686092200206401,
    0.0253090951386196,
    0.009909737732290216,
    0.011868159304199885,
    0.015018847649113348,
    0.01575315153960492,
    0.02515744237698233,
    0.0578595104312935,
    0.06088900264042413,
    0.032655541758350476,
    0.02639901061141092,
    0.017906509111938303,
    0.01440930579917758,
    0.011093776099290872,
    0.009536814268901525,
    0.018520963615384134,
    0.018270617279977436,
    0.028279563476250536,
    0.06105535335793085,
    0.030776390403600314,
    0.03364816575060716,
    0.07411253629926405,
    0.11093368279237517,
    0.1472877886758926,
    0.15024016453325906,
    0.1398094528873269,
    0.09857423389480975,
    0.06164962738770202,
    0.01791094199026335,
    0.004791561109409909,
    0.0038497664769963423,
    0.004534310655684246,
    0.002518662624958194,
    0.0022405439635384042,
    0.005723406566099378,
    0.005244687081378245,
    0.005977727981981814,
    0.011170053899367998,
    0.029429130378824237,
    0.0785426686306758,
    0.12213658204493656,
    0.1606901145719749,
    0.14927276933181535,
    0.06217939216596385,
    0.03128123945811375,
    0.031048817524699807,
    0.012622569009262478,
    0.0041552860217545454,
    0.006779326924163847,
    0.0140063794178228,
    0.010939447183341021,
    0.011342368387932,
    0.020508009943634185,
    0.024573106340885664,
    0.01825920384202528,
    0.02449168501621506,
    0.054517502076984026,
    0.1134588410362155,
    0.14968843094164347,
    0.20404354998132593,
    0.2100047537862672,
    0.18471580046153063,
    0.12031989342536999,
    0.031175797897748856,
    0.02109481197303281,
    0.012723067717531492,
    0.004304771026106497,
    0.002145658319338558,
    0.0019174219246338147,
    0.004421778040761982,
    0.012105962557101163,
    0.0276551527811601,
    0.040406834660103454,
    0.043869022003989545,
    0.0463591721401776,
    0.03715782945831442,
    0.023037556947650643,
    0.015549846104701297,
    0.007444872339937937,
    0.0030687232487858623,
    0.002595911437520759,
    0.003290424091427799,
    0.0028069257011552255,
    0.0019541139779510356,
    0.0017546046242516657,
    0.0026105814700426028,
    0.010448193463002286,
    0.033497568982444055,
    0.05021283377145642,
    0.05878592276380398,
    0.05243242137430554,
    0.04312589605867666,
    0.0299491318442253,
    0.013836597842093993,
    0.007171476114076022,
    0.005126119153330536,
    0.0037209683228008827,
    0.010238125223160317,
    0.03611301769739401,
    0.04706850058756734,
    0.05207643576674535,
    0.019633726466720444,
    0.010272940493849927,
    0.004317906640750151,
    0.0034225934072933243,
    0.009096899831863845,
    0.04512644576284456,
    0.1354255084713843,
    0.21948834021402808,
    0.26402864229543044,
    0.20876738066789624,
    0.19117068430116624,
    0.1821817911235882,
    0.126810626406328,
    0.0735419964153358,
    0.05247383321959172,
    0.03316247849416409,
    0.014476655018623845,
    0.007253120713543635,
    0.002773119360091629,
    0.0030792825785615208,
    0.006735466647475501,
    0.011906645640541665,
    0.03339294779597705,
    0.07277762378050069,
    0.08468955390949111,
    0.12546143019018552,
    0.17047522922889327,
    0.10359148058349714,
    0.057597772288482584,
    0.05370391381939024,
    0.017771672947184954,
    0.006962995711020797,
    0.008028797291817765,
    0.006579157998259064,
    0.004560569446031741,
    0.004221937735467223,
    0.003027140616647939,
    0.002140240215406445,
    0.005359076900925756,
    0.008937994891765045,
    0.006394454315062872,
    0.01465765813005767,
    0.03372062370195884,
    0.04224354451441765,
    0.054653699538010254,
    0.06001416076721175,
    0.049597975367131564,
    0.05115128706921491,
    0.024924141600588205,
    0.009619509833813654,
    0.006723284983698004,
    0.0034962986043408735,
    0.0014172638474358322,
    0.003140949177537079,
    0.008862650745560141,
    0.010792541182167801,
    0.008512812672433596,
    0.00974306101130266,
    0.013842924300245411,
    0.013321240458220859,
    0.014281445111035436,
    0.02831831689131968,
    0.048311112470202165,
    0.04960941680247986,
    0.09132207363574679,
    0.117973698590156,
    0.08214864601655288,
    0.05169865067224579,
    0.011632236033752118,
    0.005722683750395948,
    0.008218619392434656,
    0.004538191072758577,
    0.0021624949581322698,
    0.002777801002923086,
    0.0070355087661545575,
    0.027058510891662318,
    0.05376190254847289,
    0.08319196412525647,
    0.11446587034778818,
    0.09406599480110793,
    0.04920771725200672,
    0.05600446308526643,
    0.03697593848102814,
    0.011934995952849026,
    0.006290540248782494,
    0.003067086448415077,
    0.003983267056495733,
    0.005766810915563908,
    0.004293553915387868,
    0.0062660335040374375,
    0.010945712871836676,
    0.01981061549384826,
    0.03934122084098541,
    0.0427825652394893,
    0.041492070430177115,
    0.07464801847498755,
    0.1153949615749584,
    0.09628219407691743,
    0.06155280378101933,
    0.01944451292402285,
    0.007013005211207975,
    0.004718649084264428,
    0.011962736268154691,
    0.019360413163858097,
    0.025056312804936445,
    0.07967882114165889,
    0.12069025415103246,
    0.07542294896308419,
    0.06628321141054183,
    0.044068080635674314,
    0.028881066473935582,
    0.017380887025964874,
    0.02322261028407427,
    0.019184642654749565,
    0.00788783004392143,
    0.013030308176396903,
    0.01258121139741203,
    0.00445586436845354,
    0.004766040664639858,
    0.004908362576022017,
    0.0021754976180457224,
    0.0017499411438851298,
    0.002744752688777753,
    0.0026116808872539564,
    0.002471557507680272,
    0.006338404590100793,
    0.017932600028062975,
    0.04077071819301872,
    0.10199441963063033,
    0.1269977710191629,
    0.13676438413626657,
    0.12144850419588901,
    0.09250098788051628,
    0.04766030805782013,
    0.03615898242784838,
    0.030414459884030486,
    0.018843734540947944,
    0.02929663547839778,
    0.03003365552173577,
    0.04425751895516616,
    0.0623377352329473,
    0.06039850405688996,
    0.036990582879575636,
    0.040708412418547085,
    0.06109905574311808,
    0.10498724991740413,
    0.10933645081506767,
    0.09563700347828909,
    0.0778021751794854,
    0.07191390217614016,
    0.049339787443247025,
    0.013891807796950872,
    0.006403463143289901,
    0.006144897144857388,
    0.004308140958194935,
    0.00472176023589977,
    0.0042867003636291355,
    0.0025285809903811537,
    0.005548511693283698,
    0.021818141874636005,
    0.060051167614977356,
    0.1407086718576862,
    0.12404148209977535,
    0.11989232140148179,
    0.14662447187862876,
    0.2250959272956359,
    0.3290405049964078,
    0.3469859432262536,
    0.2338741555400778,
    0.06537402400912794,
    0.04535877503924129,
    0.019876637744672333,
    0.004020787294573359,
    0.006985307396782229,
    0.022065716410984332,
    0.02893690669234754,
    0.049273728346948244,
    0.08660000965567609,
    0.08128089575922585,
    0.03951510856800985,
    0.05532183234147181,
    0.10956765606714645,
    0.12851265317102126,
    0.1146623783731012,
    0.17224644328631925,
    0.2202431593244744,
    0.11721505980004188,
    0.0384763760220766,
    0.006097414835261441,
    0.0037338634206108457,
    0.007747181313002872,
    0.007496218524334455,
    0.006437450587923203,
    0.00936531505478402,
    0.016591386884022986,
    0.021238547500275116,
    0.04990375280027804,
    0.10716079369346819,
    0.139825542542841,
    0.12048809340365331,
    0.05546478839409403,
    0.045433117170433066,
    0.021453330024130655,
    0.005915218883517377,
    0.0036575380701986465,
    0.0013655689744739952,
    0.0016964936656399452,
    0.0026261097951744087,
    0.003198145221424414,
    0.006177392358075918,
    0.016741524607282947,
    0.07215462252179787,
    0.16172912102690415,
    0.13546536361835995,
    0.16749747715280494,
    0.14404906696517183,
    0.05408223570348519,
    0.01194264687909247,
    0.004389824403487194,
    0.002256255444702319,
    0.0011178427413608913,
    0.0012146753090187335,
    0.0022282951929033816,
    0.004747424817869805,
    0.01703203756304209,
    0.024179318254722113,
    0.020851854086332174,
    0.028036543944635575,
    0.01211315817701864,
    0.005364284355489245,
    0.004739524738227981,
    0.0041787884387426985,
    0.00451820096717693,
    0.008481207490572212,
    0.01425232411609366,
    0.023853063719555808,
    0.04657847994986316,
    0.07205443156620724,
    0.0630155759347558,
    0.062237250169359645,
    0.04922145100235268,
    0.030276112945490118,
    0.03682224703519088,
    0.01970803239402742,
    0.02041095096696219,
    0.016661354825033826,
    0.01795873924178588,
    0.019976222368523595,
    0.039800084927066944,
    0.07743032450444484,
    0.12827968869909295,
    0.18491404833348557,
    0.1437393666546722,
    0.06848601615493566,
    0.04688036451820953,
    0.01965589951262601,
    0.0056775768696065215,
    0.0037216081585613866,
    0.004539779397722887,
    0.0048674058476606994,
    0.008202114133403488,
    0.013580264363660308,
    0.027449538062957555,
    0.04505517476689678,
    0.053662301265776806,
    0.05684926458805547,
    0.04148094736737125,
    0.03541545809056494,
    0.046938840027080125,
    0.06013584806641382,
    0.04623037727539486,
    0.07897021377464152,
    0.06540115459381117,
    0.024752436860841193,
    0.023957466585937264,
    0.010593616957174905,
    0.0029083456757138426,
    0.004376287194918453,
    0.007473732453377707,
    0.007299697865181963,
    0.01009059392777352,
    0.021270595457167866,
    0.0307985230598778,
    0.030291925327273362,
    0.026810100800703753,
    0.02702595552989152,
    0.039863330129377504,
    0.03605455877617631,
    0.04131402286804461,
    0.03752614582763086,
    0.03719107685411036,
    0.02507808359066899,
    0.007746327337931517,
    0.005627679144438651,
    0.003468186100451117,
    0.003017520036945447,
    0.002926963479035554,
    0.0028415928824393364,
    0.009568553415291956,
    0.03965302535325578,
    0.07925827533118826,
    0.10707579425685591,
    0.10964914525385613,
    0.10238961238784362,
    0.08644423618756382,
    0.07422788279890172,
    0.042426157545759124,
    0.014033901860991243,
    0.0071564609492306116,
    0.004677093022908322,
    0.0056100988137015965,
    0.008209773732446456,
    0.011622593237389145,
    0.021297385754532494,
    0.033610585749177586,
    0.048396196565038796,
    0.06741885880433561,
    0.07244343665092687,
    0.08291658271383061,
    0.08506928118793684,
    0.11159577803158746,
    0.07633390289282428,
    0.017618101260415964,
    0.009286368124914096,
    0.0050226651079684406,
    0.0020790807149472634,
    0.0017575862733903516,
    0.0012313779240827878,
    0.0010087569312047743,
    0.002607430388565211,
    0.005903645213744646,
    0.009452937303326324,
    0.020873470243120428,
    0.033968716415836576,
    0.030512552694212505,
    0.0227517061191607,
    0.010896248123946614,
    0.0058236022676317785,
    0.0036937039305604113,
    0.005117924886061236,
    0.005213804130579611,
    0.0090612155310491,
    0.026226971119574755,
    0.036363376212075166,
    0.04631030109730433,
    0.04595457983589431,
    0.05643699016855813,
    0.04905004029472869,
    0.019489553693733473,
    0.011187606784444927,
    0.011236584970552382,
    0.009073528809274789,
    0.0189131794733542,
    0.02764731920274299,
    0.023040118332813816,
    0.055352787115400585,
    0.1131765581159301,
    0.12652358772945888,
    0.15465311073156102,
    0.17803122860490198,
    0.14176239210742683,
    0.07913413212442623,
    0.052448136882868694,
    0.02430832382908711,
    0.007471018943541348,
    0.007303251379790081,
    0.0068040313939925125,
    0.006497348966582163,
    0.01256244970442513,
    0.018756471802821542,
    0.0334031897674365,
    0.037353489106367155,
    0.06556163016055136,
    0.10432938133472941,
    0.15513130149724152,
    0.1982978333016586,
    0.21782493227748306,
    0.16210402910629312,
    0.08147992210871273,
    0.04469396616573229,
    0.021553432274964333,
    0.007514497710503838,
    0.005501473697774059,
    0.009757809306147865,
    0.03035770228900515,
    0.040554663598164994,
    0.045149643454707615,
    0.07036998154163752,
    0.0956995875464206,
    0.10759712303820489,
    0.06747384159982177,
    0.04257811122833238,
    0.0315301761905381,
    0.04712174923766381,
    0.08294356005128718,
    0.11894292008067169,
    0.10540462207381966,
    0.08871235593628435,
    0.03238146373062864,
    0.006064858307486855,
    0.006498464184193753,
    0.008127605887272956,
    0.0035171435571901507,
    0.002154129545469881,
    0.0040048257690401415,
    0.005518920274624516,
    0.005338632979406547,
    0.009808186771481148,
    0.015175608090381442,
    0.03728389881243992,
    0.05871933297678419,
    0.04097086561402319,
    0.039132323879949166,
    0.027487500574048532,
    0.007569356628234932,
    0.0027363775981031116,
    0.002057041738627553,
    0.0024893235560424875,
    0.0030422836175448458,
    0.004301924992289926,
    0.006061937724359711,
    0.020331240154867262,
    0.08410042200256469,
    0.14580767384588406,
    0.15526847122833656,
    0.1435931753871089,
    0.09212705871895131,
    0.07839786430510357,
    0.0440781509267078,
    0.022455916772345198,
    0.017527329612553776,
    0.026058630403810012,
    0.022582641435775253,
    0.026632152730372703,
    0.034748266898728036,
    0.04791623588941295,
    0.04930379436846524,
    0.03379760822041368,
    0.017334290772188544,
    0.018867099586448575,
    0.026042013436519705,
    0.02277218197583179,
    0.036742080887591566,
    0.08631461432091399,
    0.15166115440667152,
    0.17260619238415179,
    0.11183971874014685,
    0.08212149615388925,
    0.04743609656862262,
    0.022756248787118603,
    0.008950802756062746,
    0.005779037105317611,
    0.004054780767302261,
    0.002833353765165103,
    0.004085259336592437,
    0.007376335489575442,
    0.016328760305913386,
    0.016645968705727193,
    0.0098212793767816,
    0.003675598242665236,
    0.002006602259368551,
    0.0013820419723829527,
    0.002291296362080813,
    0.002496337100619474,
    0.00251853217484219,
    0.00537459093587636,
    0.006376257034817353,
    0.004155136519264146,
    0.006009167113474251,
    0.01249062974447307,
    0.010628966499775329,
    0.005729418283365192,
    0.009506089741327899,
    0.028718020364352375,
    0.053703109938470855,
    0.08860495579735393,
    0.11475440309114988,
    0.14922119261390265,
    0.17741877784461524,
    0.0631047823955193,
    0.017346453740472653,
    0.014090793817466859,
    0.01097069384281185,
    0.006149789326534312,
    0.0034285932193986357,
    0.003031104628058152,
    0.003193046052174277,
    0.0033275484027588823,
    0.007530197715372745,
    0.02150159767755842,
    0.035234093595160124,
    0.06128538537100745,
    0.05358899284883293,
    0.051937739599208256,
    0.05774676331016809,
    0.04471989422873568,
    0.028349281273955827,
    0.044927578504808524,
    0.06690698844800853,
    0.07182163105639368,
    0.08407530088368052,
    0.0769433033695077,
    0.05927908385824564,
    0.044508874721185886,
    0.05525312956663812,
    0.05944405820657149,
    0.04181182268673025,
    0.03775967603718521,
    0.0827704039433208,
    0.21445936384491335,
    0.3093102566586096,
    0.3387934310639584,
    0.30355629514478677,
    0.2285824963120213,
    0.17838217794892333,
    0.15912341999181415,
    0.10362383077507738,
    0.07302012495444739,
    0.04963217442565925,
    0.04634368156201171,
    0.06845505646720523,
    0.11119779267880604,
    0.20303779704257616,
    0.30290710330936116,
    0.3352741189161585,
    0.3226570006769152,
    0.36805620384715737,
    0.384392012550865,
    0.403602913458139,
    0.3891710711870678,
    0.4191306529326191,
    0.4197979976090776,
    0.35238542224466773,
    0.2902503348133348,
    0.25204415493310495,
    0.269333787497264,
    0.21913034884317534,
    0.1443419190266208,
    0.08452860063451932,
    0.04978998458717152,
    0.04343238851217994,
    0.022660846136688638,
    0.01741766290380701,
    0.019845821214157098,
    0.012262081524170791,
    0.010571257748870279,
    0.007528989589052668,
    0.0029262801987570176,
    0.0017094621942968864,
    0.0012858843029301054,
    0.0015003978760176125,
    0.001753149583269575,
    0.0022904845363637895,
    0.004852216896245844,
    0.005763340344997891,
    0.004588186380803529,
    0.004764648903786477,
    0.00496291055820565,
    0.0037938388220783202,
    0.0029512309846564774,
    0.006002540291798778,
    0.014197724701352183,
    0.010552500146974167,
    0.00755839676771524,
    0.013312913504363087,
    0.009885515788085865,
    0.0027738969763833484,
    0.0022796888068406696,
    0.00438209110019346,
    0.0035744376418583067,
    0.002198036789216994,
    0.0019665984114767714,
    0.0015261641776343142,
    0.001307888416576862,
    0.0007315312219761893,
    0.0006164365156392249,
    0.0018437560269771096,
    0.006275012692953506,
    0.012772924900590845,
    0.01937161043297197,
    0.01627886782749932,
    0.019938580262620846,
    0.02524589308914929,
    0.010682696257286005,
    0.004341185296567122,
    0.0036027292417582174,
    0.002835026723730665,
    0.0030208216049309664,
    0.0037054338900487345,
    0.0034913439187139444,
    0.003669959463672155,
    0.005825142915679427,
    0.013812948982343145,
    0.027628101223881353,
    0.03157281628386002,
    0.015352455131260972,
    0.003763270873554559,
    0.0034980873326817233,
    0.005087133261517004,
    0.0050346330579849,
    0.005863200392431615,
    0.0029315392119266376,
    0.0021617371834821227,
    0.0022204535778124145,
    0.0017659248193294045,
    0.001900776481192099,
    0.0024554069613616017,
    0.0014030372939160866,
    0.0008598563344328132,
    0.0011938380673934853,
    0.0026423320292485184,
    0.0027819800872475237,
    0.002086584722162068,
    0.0037617337187576725,
    0.0066406868340578296,
    0.004535814173424452,
    0.005522931634970214,
    0.00864138469817865,
    0.025140971090974535,
    0.07219131524632004,
    0.0774502779684191,
    0.06960248249588075,
    0.06490701206973026,
    0.02910344579474468,
    0.013381542447889505,
    0.0262847906089487,
    0.025986347216214217,
    0.012675343297035157,
    0.017885290698307948,
    0.02753839011858805,
    0.02291522737502321,
    0.017567698469878365,
    0.01575627586025296,
    0.013086627892931685,
    0.013241851159600764,
    0.012635976200714666,
    0.014981896409243167,
    0.009899246954728698,
    0.003037648656541712,
    0.003229806340097865,
    0.002250736004706122,
    0.0009342490904874999,
    0.0016450413547888323,
    0.005140675112681003,
    0.010551091125805672,
    0.011339001955027342,
    0.008773446931006366,
    0.007214758646655012,
    0.006613502228827995,
    0.0035458119469780414,
    0.0040075669222853156,
    0.009839540422279795,
    0.0075417364911689495,
    0.004537426364298755,
    0.006642491371463485,
    0.015250575375866146,
    0.017997619967907212,
    0.0065943373750257704,
    0.005031677413349198,
    0.00417111480797554,
    0.0034385572125777393,
    0.003049617948883066,
    0.002807818086627027,
    0.007450846370548907,
    0.02466988122440478,
    0.02578268393407503,
    0.020456125225316743,
    0.026642683412342556,
    0.01461216436727467,
    0.011014225673076887,
    0.023151953467843957,
    0.04537978642175956,
    0.06163935483393509,
    0.05423839800500812,
    0.03472548148482269,
    0.013487108546533693,
    0.005159895827651879,
    0.006155006064941642,
    0.008366243434978935,
    0.015587675206470059,
    0.03398440917897176,
    0.0678989789669967,
    0.0708424503389159,
    0.02872046273967922,
    0.010183923844502113,
    0.005512725628883531,
    0.007207505596833994,
    0.0050958368563312215,
    0.0029598345748106233,
    0.003944143805758241,
    0.00920563835425221,
    0.020818057924092418,
    0.04462207231974779,
    0.05908040243957541,
    0.05210282210530499,
    0.042042185406241196,
    0.022055591883244907,
    0.013459308475743979,
    0.02610041955052039,
    0.020243210417437263,
    0.023223933038208897,
    0.025990404218578962,
    0.018928937398976914,
    0.016466562625139805,
    0.009316291190348231,
    0.013228599321269059,
    0.010127560665242626,
    0.0058438725818420285,
    0.01314725402482743,
    0.03772901967921286,
    0.040273154674056545,
    0.025611362982687087,
    0.007887509074838253,
    0.003414541161996817,
    0.006455097199339208,
    0.01259981965262716,
    0.018498934211781413,
    0.03732433504725175,
    0.03810864141126486,
    0.04764904911951379,
    0.05209901507848239,
    0.06032211851266389,
    0.06112298927193176,
    0.0720007653474527,
    0.12443809268883937,
    0.14883895484545712,
    0.08961997725224645,
    0.05428366968902436,
    0.04280088025901803,
    0.03849556092288415,
    0.029577842590018548,
    0.03710172725789665,
    0.05139653586973958,
    0.03998433854413986,
    0.030438832052019645,
    0.026345263206472007,
    0.02343759856032269,
    0.03443281491880948,
    0.06563799698305925,
    0.08996475339877016,
    0.1622928830415633,
    0.2301961801983135,
    0.21448578421571007,
    0.15277379426434576,
    0.13688290867662123,
    0.12743821733991098,
    0.06200559710517437,
    0.03965789647536713,
    0.057792558390367794,
    0.039139993920808316,
    0.029645902489823447,
    0.029419154144067025,
    0.027294174564940675,
    0.02731664896147238,
    0.029339822737554956,
    0.04639726688414267,
    0.0630586533770219,
    0.05467843122440003,
    0.11507742966000999,
    0.11184373761127159,
    0.07432164988781864,
    0.08740127005359673,
    0.049346099573113034,
    0.018672297680979718,
    0.014321880446311453,
    0.02027984579110692,
    0.01008764932212664,
    0.009737571304788797,
    0.017016429352831926,
    0.007251550809848684,
    0.004410274379726442,
    0.005404157481695513,
    0.006264653026549099,
    0.003857079490225424,
    0.004496556039279113,
    0.0037295547686200534,
    0.003519601338383068,
    0.003611420232324883,
    0.00293086066569059,
    0.006580301060805202,
    0.011720087637655287,
    0.016373861348971355,
    0.01653947534236752,
    0.013975225073431897,
    0.011144038029379338,
    0.0062832665574968265,
    0.002510001680477563,
    0.002166095252929602,
    0.0027125799707151503,
    0.0027563054079389653,
    0.005832742444024339,
    0.010882037269249132,
    0.006617246714444767,
    0.002838696159951404,
    0.0012820581091404443,
    0.0014408254686443316,
    0.0016329600839691742,
    0.0017320206969156503,
    0.0029832455160331743,
    0.004598995921064195,
    0.013021713412294215,
    0.026595001828549524,
    0.027970267721725256,
    0.038522292092934715,
    0.048306434410620845,
    0.02763537941464635,
    0.010531895345660928,
    0.0040228871079265715,
    0.0021663868023548685,
    0.0023444840835665794,
    0.0033203683644176256,
    0.0023464340518688028,
    0.0033052535659213924,
    0.003221506797670126,
    0.0026980114118043052,
    0.0030433552921289436,
    0.0026996666977006888,
    0.0013799887655443818,
    0.001554122206378315,
    0.0017496882452794492,
    0.0020589279245082828,
    0.0024403720637482832,
    0.003205599716110116,
    0.003512870810679057,
    0.0025919298670823705,
    0.003060503699846408,
    0.0034928951394402963,
    0.0028434097040711216,
    0.002021724473186926,
    0.0025648282440634018,
    0.002809347011309465,
    0.0023476292180777463,
    0.002092730065539046,
    0.0030546476568823356,
    0.003981481029541721,
    0.004137852969673485,
    0.004817297398341564,
    0.006351105180215381,
    0.006557835534213734,
    0.003996957507993451,
    0.007661469841614679,
    0.013267945239123865,
    0.013168466250248236,
    0.014423389108141999,
    0.01229933515744418,
    0.007434227757718976,
    0.006796709906246776,
    0.005847666698356137,
    0.007158627211287413,
    0.00513623368695398,
    0.0025543694520841647,
    0.002208445068757635,
    0.001581930265909809,
    0.0012375192191738675,
    0.001725613005516214,
    0.002979469944297382,
    0.004992673532113632,
    0.00730125677892824,
    0.008400148667691931,
    0.006422586003672368,
    0.002978159380384713,
    0.003670141512664008,
    0.005956724960256969,
    0.005236231348722225,
    0.0027708675038809246,
    0.0037842610082712827,
    0.00355937175009157,
    0.0008304071582544767,
    0.0011253535533450288,
    0.0037714037571943164,
    0.006936430538889268,
    0.013617489605843452,
    0.015601050095823164,
    0.013463533861666554
  ],
  "protein_score": 0.09238132878612293,
  "viterbi": [
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " SPACER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER"
  ],
  "complexity": [
    7.0,
    8.0,
    9.0,
    10.0,
    11.0,
    11.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    5.0,
    4.0,
    4.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    4.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    11.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    11.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    11.0,
    11.0,
    10.0,
    11.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    4.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    5.0,
    6.0,
    5.0,
    5.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    5.0,
    5.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    11.0,
    11.0,
    11.0,
    11.0,
    11.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    6.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    5.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    4.0,
    4.0,
    4.0,
    5.0,
    5.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    11.0,
    11.0,
    11.0,
    11.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    11.0,
    11.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    5.0,
    4.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    11.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    10.0,
    11.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    5.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    6.0,
    5.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    5.0,
    5.0,
    4.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    4.0,
    4.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    5.0,
    5.0,
    4.0,
    5.0,
    5.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    5.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    11.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    5.0,
    4.0,
    5.0,
    5.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0
  ],
  "arg": [
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    4.0,
    3.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    4.0,
    3.0,
    2.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    3.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    5.0,
    5.0,
    4.0,
    3.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    5.0,
    4.0,
    4.0,
    3.0,
    2.0,
    2.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0
  ],
  "tyr": [
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0
  ],
  "RRM": [
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0
  ],
  "disorder": [
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    3.0,
    4.0,
    4.0,
    4.0,
    3.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    4.0
  ],
  "disoMine": [
    0.07396319508552551,
    0.11496604979038239,
    0.11247141659259796,
    0.1234079897403717,
    0.13160830736160278,
    0.12012512981891632,
    0.11271362751722336,
    0.10984010994434357,
    0.10447156429290771,
    0.10448097437620163,
    0.09979896992444992,
    0.09698788821697235,
    0.09185760468244553,
    0.08337189257144928,
    0.08081711083650589,
    0.07604346424341202,
    0.06966108828783035,
    0.0694747343659401,
    0.07506344467401505,
    0.06452830880880356,
    0.050778988748788834,
    0.04069296643137932,
    0.03276774287223816,
    0.02754061296582222,
    0.023295585066080093,
    0.0210742000490427,
    0.019950799643993378,
    0.01941501349210739,
    0.019344620406627655,
    0.01965940184891224,
    0.020847337320446968,
    0.02472466044127941,
    0.025733185932040215,
    0.028038516640663147,
    0.03432045504450798,
    0.04166077449917793,
    0.04653509706258774,
    0.04687841609120369,
    0.04773148149251938,
    0.04933912307024002,
    0.04936244338750839,
    0.046880416572093964,
    0.04445219784975052,
    0.039400745183229446,
    0.03857656568288803,
    0.0362197645008564,
    0.03481593355536461,
    0.032322585582733154,
    0.0332428403198719,
    0.03532581031322479,
    0.03675973042845726,
    0.03995133936405182,
    0.04063135012984276,
    0.04304936155676842,
    0.04206840321421623,
    0.04260442033410072,
    0.039878759533166885,
    0.038078829646110535,
    0.03559783846139908,
    0.03413304686546326,
    0.03219598904252052,
    0.03230930119752884,
    0.034247707575559616,
    0.03625327721238136,
    0.03959021344780922,
    0.04182250425219536,
    0.043837472796440125,
    0.04551631957292557,
    0.04898805916309357,
    0.04844582453370094,
    0.04493020847439766,
    0.041494134813547134,
    0.03693457692861557,
    0.033416498452425,
    0.028278345242142677,
    0.02519114501774311,
    0.023769548162817955,
    0.023008625954389572,
    0.025728201493620872,
    0.028598759323358536,
    0.03296792879700661,
    0.03930376470088959,
    0.04490581899881363,
    0.05164726451039314,
    0.05440038442611694,
    0.05999062582850456,
    0.06288386881351471,
    0.0627063736319542,
    0.05864078179001808,
    0.050055455416440964,
    0.04596538096666336,
    0.04325782135128975,
    0.0433516688644886,
    0.04187706485390663,
    0.04322545602917671,
    0.041507162153720856,
    0.037581123411655426,
    0.03499465808272362,
    0.036083683371543884,
    0.03333883732557297,
    0.030307024717330933,
    0.029393043369054794,
    0.02931845374405384,
    0.03004269488155842,
    0.032418131828308105,
    0.034256111830472946,
    0.03735102713108063,
    0.040236081928014755,
    0.04216502979397774,
    0.04251372069120407,
    0.03574805334210396,
    0.032487332820892334,
    0.028493838384747505,
    0.026771634817123413,
    0.025752512738108635,
    0.025677071884274483,
    0.026186030358076096,
    0.030538100749254227,
    0.03396238386631012,
    0.03638872504234314,
    0.040583930909633636,
    0.0416363924741745,
    0.04025653749704361,
    0.034395817667245865,
    0.035557329654693604,
    0.03391633927822113,
    0.03299349918961525,
    0.032369330525398254,
    0.03445057570934296,
    0.03321658447384834,
    0.03129240497946739,
    0.031206002458930016,
    0.02820843830704689,
    0.02910112962126732,
    0.032452214509248734,
    0.03337759152054787,
    0.03614966943860054,
    0.03854695335030556,
    0.0403897799551487,
    0.04068359360098839,
    0.04172605648636818,
    0.042513176798820496,
    0.04539353772997856,
    0.05347159877419472,
    0.056396935135126114,
    0.052536532282829285,
    0.05332842469215393,
    0.052875369787216187,
    0.06386615335941315,
    0.0709051713347435,
    0.07908467203378677,
    0.07932403683662415,
    0.08269708603620529,
    0.08785682916641235,
    0.09078851342201233,
    0.09328823536634445,
    0.09457438439130783,
    0.09692805260419846,
    0.09471621364355087,
    0.09442087262868881,
    0.09398439526557922,
    0.09420275688171387,
    0.09278695285320282,
    0.09252800047397614,
    0.09365615993738174,
    0.0945998877286911,
    0.09617536514997482,
    0.10345542430877686,
    0.10323777049779892,
    0.10050418227910995,
    0.10011221468448639,
    0.09855587780475616,
    0.09643158316612244,
    0.09363829344511032,
    0.09023131430149078,
    0.08452639728784561,
    0.07714288681745529,
    0.07025279849767685,
    0.06692330539226532,
    0.06420116126537323,
    0.06821449846029282,
    0.06878522783517838,
    0.07542137801647186,
    0.0727493166923523,
    0.0765211433172226,
    0.0762275829911232,
    0.07240647077560425,
    0.06731550395488739,
    0.06604786962270737,
    0.060720428824424744,
    0.057660434395074844,
    0.05470014736056328,
    0.056711241602897644,
    0.05936795845627785,
    0.06047729402780533,
    0.06811206787824631,
    0.07680511474609375,
    0.08946957439184189,
    0.09078402817249298,
    0.0930759534239769,
    0.09034551680088043,
    0.08867818862199783,
    0.0808042362332344,
    0.0699048638343811,
    0.060704588890075684,
    0.05390816554427147,
    0.04882419854402542,
    0.04612099006772041,
    0.04704238846898079,
    0.046132516115903854,
    0.048110395669937134,
    0.04993944987654686,
    0.053902603685855865,
    0.05583704262971878,
    0.0618375800549984,
    0.05849340930581093,
    0.05325496569275856,
    0.049939367920160294,
    0.045767366886138916,
    0.04113316535949707,
    0.03817591816186905,
    0.03554334491491318,
    0.03382989764213562,
    0.03135569021105766,
    0.030768176540732384,
    0.03331581503152847,
    0.033470623195171356,
    0.03785347193479538,
    0.040549855679273605,
    0.04535868391394615,
    0.04804672673344612,
    0.050508853048086166,
    0.05235622450709343,
    0.053398218005895615,
    0.05811324715614319,
    0.05539768189191818,
    0.04946139454841614,
    0.043150365352630615,
    0.03745833411812782,
    0.031032022088766098,
    0.026204664260149002,
    0.02380402386188507,
    0.02305275946855545,
    0.024170294404029846,
    0.027040936052799225,
    0.028902636840939522,
    0.03298449516296387,
    0.03443775326013565,
    0.03879677876830101,
    0.04201143607497215,
    0.04095269739627838,
    0.045100778341293335,
    0.049687668681144714,
    0.0536244660615921,
    0.04954114183783531,
    0.04581519588828087,
    0.042548660188913345,
    0.03897891193628311,
    0.034888263791799545,
    0.03155987337231636,
    0.029770126566290855,
    0.027926625683903694,
    0.03081018291413784,
    0.03257163241505623,
    0.03387227654457092,
    0.03672560676932335,
    0.039927832782268524,
    0.04626457393169403,
    0.051390133798122406,
    0.053421907126903534,
    0.0487329438328743,
    0.042635850608348846,
    0.03997449949383736,
    0.03560272604227066,
    0.03172919154167175,
    0.02940642647445202,
    0.03066958673298359,
    0.03319086879491806,
    0.03264893218874931,
    0.037024591118097305,
    0.039846401661634445,
    0.044102251529693604,
    0.046143289655447006,
    0.04944995418190956,
    0.05145791172981262,
    0.047647763043642044,
    0.04307626187801361,
    0.0381060428917408,
    0.034468937665224075,
    0.032199613749980927,
    0.030685383826494217,
    0.03136764094233513,
    0.03368590027093887,
    0.0347234345972538,
    0.03868735209107399,
    0.042655058205127716,
    0.050167717039585114,
    0.05790366232395172,
    0.06515253335237503,
    0.07054246217012405,
    0.069664865732193,
    0.06345440447330475,
    0.05725032463669777,
    0.05381155386567116,
    0.05098407343029976,
    0.04937272518873215,
    0.04597717523574829,
    0.04433514550328255,
    0.04225538671016693,
    0.03968019410967827,
    0.03749023750424385,
    0.03533850982785225,
    0.03421818092465401,
    0.03520318493247032,
    0.037261538207530975,
    0.037073664367198944,
    0.03993576765060425,
    0.04164755716919899,
    0.04522787034511566,
    0.043183207511901855,
    0.047148820012807846,
    0.050236985087394714,
    0.05028120055794716,
    0.045767515897750854,
    0.04035479202866554,
    0.03542815521359444,
    0.03328365832567215,
    0.028740229085087776,
    0.026762498542666435,
    0.027758274227380753,
    0.02757750079035759,
    0.03287322446703911,
    0.03748015686869621,
    0.043030694127082825,
    0.052282895892858505,
    0.05782759562134743,
    0.06181817874312401,
    0.0653940960764885,
    0.06977089494466782,
    0.07082009315490723,
    0.0664898082613945,
    0.06287024170160294,
    0.053438715636730194,
    0.04551131650805473,
    0.038344480097293854,
    0.03490087017416954,
    0.03041587956249714,
    0.028631508350372314,
    0.026658883318305016,
    0.02601873315870762,
    0.02629828453063965,
    0.02737872488796711,
    0.028191206976771355,
    0.030754849314689636,
    0.03297533094882965,
    0.0396914966404438,
    0.0423915833234787,
    0.04077994450926781,
    0.03736991062760353,
    0.033588510006666183,
    0.030206868425011635,
    0.027598630636930466,
    0.02613951824605465,
    0.02552756853401661,
    0.025417696684598923,
    0.026454074308276176,
    0.027841608971357346,
    0.028279440477490425,
    0.031241709366440773,
    0.03423953056335449,
    0.036675043404102325,
    0.03736168518662453,
    0.038682784885168076,
    0.04362757131457329,
    0.04567570239305496,
    0.04896495118737221,
    0.047313425689935684,
    0.04684502258896828,
    0.04456429183483124,
    0.045447032898664474,
    0.04145308956503868,
    0.036702319979667664,
    0.032613497227430344,
    0.028956934809684753,
    0.026872746646404266,
    0.025610171258449554,
    0.02592375874519348,
    0.025173019617795944,
    0.026898134499788284,
    0.028273172676563263,
    0.031096335500478745,
    0.03403206169605255,
    0.03504248335957527,
    0.03835584968328476,
    0.03605847433209419,
    0.033448342233896255,
    0.031165212392807007,
    0.028305068612098694,
    0.025928383693099022,
    0.02391991578042507,
    0.02301221713423729,
    0.02165873721241951,
    0.02151540294289589,
    0.022236207500100136,
    0.02290177345275879,
    0.0236610509455204,
    0.02291416935622692,
    0.022190341725945473,
    0.021056555211544037,
    0.019642295315861702,
    0.018959689885377884,
    0.01829737424850464,
    0.018517887219786644,
    0.019663656130433083,
    0.020286304876208305,
    0.01979648694396019,
    0.01865263655781746,
    0.01885702647268772,
    0.017858488485217094,
    0.01640898734331131,
    0.01598857156932354,
    0.016142169013619423,
    0.017223911359906197,
    0.01738128252327442,
    0.01738090068101883,
    0.01745610497891903,
    0.01782449707388878,
    0.019500521942973137,
    0.020424501970410347,
    0.021451115608215332,
    0.024856368079781532,
    0.029236549511551857,
    0.03139610216021538,
    0.028170514851808548,
    0.027155283838510513,
    0.025585640221834183,
    0.025026103481650352,
    0.02511044591665268,
    0.024483440443873405,
    0.024482375010848045,
    0.023880375549197197,
    0.025645047426223755,
    0.028750600293278694,
    0.03261047601699829,
    0.03640751540660858,
    0.04038087651133537,
    0.04429229348897934,
    0.04741394892334938,
    0.05102891847491264,
    0.0526689849793911,
    0.04966086149215698,
    0.0462024062871933,
    0.04126865789294243,
    0.03520951420068741,
    0.03146417438983917,
    0.027961120009422302,
    0.026563357561826706,
    0.025081932544708252,
    0.023968787863850594,
    0.02298179641366005,
    0.023347551003098488,
    0.023969657719135284,
    0.025492528453469276,
    0.028892118483781815,
    0.03135864436626434,
    0.03513630852103233,
    0.03753567487001419,
    0.038365431129932404,
    0.039819784462451935,
    0.04269888997077942,
    0.0460156574845314,
    0.04610742628574371,
    0.044765423983335495,
    0.04349563270807266,
    0.04725393280386925,
    0.049354590475559235,
    0.05602182075381279,
    0.05777110904455185,
    0.05693996697664261,
    0.056719955056905746,
    0.058601073920726776,
    0.058352742344141006,
    0.05561395734548569,
    0.052639637142419815,
    0.04917630925774574,
    0.04666278511285782,
    0.04253588989377022,
    0.036383677273988724,
    0.0305863656103611,
    0.026868078857660294,
    0.02401774562895298,
    0.022237975150346756,
    0.020993979647755623,
    0.02066022902727127,
    0.020233694463968277,
    0.021656369790434837,
    0.022193502634763718,
    0.024912109598517418,
    0.026374317705631256,
    0.028803354129195213,
    0.03120792657136917,
    0.032849088311195374,
    0.033214595168828964,
    0.03039287030696869,
    0.026896867901086807,
    0.023753581568598747,
    0.021455420181155205,
    0.01986851915717125,
    0.019270187243819237,
    0.020566163584589958,
    0.02125781774520874,
    0.020713524892926216,
    0.020979199558496475,
    0.020546477288007736,
    0.020364828407764435,
    0.0194443017244339,
    0.019040079787373543,
    0.018058517947793007,
    0.016983486711978912,
    0.016826516017317772,
    0.017405176535248756,
    0.0179614070802927,
    0.018467938527464867,
    0.020194251090288162,
    0.020202452316880226,
    0.01990901678800583,
    0.01911250688135624,
    0.018881693482398987,
    0.018041057512164116,
    0.017226511612534523,
    0.016780037432909012,
    0.01728774420917034,
    0.017786579206585884,
    0.01806560531258583,
    0.018400173634290695,
    0.01825874298810959,
    0.01890878565609455,
    0.01978204771876335,
    0.020317992195487022,
    0.02154962532222271,
    0.02346212789416313,
    0.02227330021560192,
    0.020074617117643356,
    0.018675221130251884,
    0.017936820164322853,
    0.017169473692774773,
    0.01678362488746643,
    0.017694396898150444,
    0.01952289044857025,
    0.020790690556168556,
    0.02321048267185688,
    0.02572527341544628,
    0.027252765372395515,
    0.028749627992510796,
    0.030886312946677208,
    0.03338971734046936,
    0.03410575911402702,
    0.03344276174902916,
    0.03131512925028801,
    0.02786998637020588,
    0.024446357041597366,
    0.02242862991988659,
    0.020428277552127838,
    0.019240794703364372,
    0.018571199849247932,
    0.019215112552046776,
    0.019718017429113388,
    0.020259106531739235,
    0.021064521744847298,
    0.02288552187383175,
    0.024400291964411736,
    0.02779567427933216,
    0.02883133292198181,
    0.028318408876657486,
    0.02839278243482113,
    0.027306826785206795,
    0.026991717517375946,
    0.024011578410863876,
    0.022197995334863663,
    0.020466288551688194,
    0.020276963710784912,
    0.021170059219002724,
    0.022841520607471466,
    0.024205684661865234,
    0.02744159661233425,
    0.030152542516589165,
    0.03505021706223488,
    0.0372832790017128,
    0.041441310197114944,
    0.0414198637008667,
    0.040924035012722015,
    0.038301318883895874,
    0.03269805386662483,
    0.027432594448328018,
    0.02502571791410446,
    0.02274646796286106,
    0.02134072221815586,
    0.02002311870455742,
    0.019730426371097565,
    0.019008684903383255,
    0.019885359331965446,
    0.02027999423444271,
    0.02147037163376808,
    0.022986598312854767,
    0.024421250447630882,
    0.025677641853690147,
    0.024832794442772865,
    0.02478598617017269,
    0.023782595992088318,
    0.02239445596933365,
    0.021004563197493553,
    0.02027028612792492,
    0.020277058705687523,
    0.020257998257875443,
    0.02113116905093193,
    0.023039286956191063,
    0.025256525725126266,
    0.027763182297348976,
    0.030389737337827682,
    0.03499191626906395,
    0.03764863312244415,
    0.04332881420850754,
    0.046563223004341125,
    0.048510968685150146,
    0.04779275879263878,
    0.04428737983107567,
    0.040418513119220734,
    0.03731212019920349,
    0.03485020995140076,
    0.032777395099401474,
    0.03071887046098709,
    0.03016418218612671,
    0.030114004388451576,
    0.030122367665171623,
    0.027649398893117905,
    0.02482467330992222,
    0.02440844289958477,
    0.023020902648568153,
    0.02266685664653778,
    0.02170216292142868,
    0.021993588656187057,
    0.022460486739873886,
    0.023572565987706184,
    0.02544696442782879,
    0.028709745034575462,
    0.030484763905405998,
    0.0316891074180603,
    0.031526390463113785,
    0.032457124441862106,
    0.031281448900699615,
    0.029634110629558563,
    0.026185227558016777,
    0.022809846326708794,
    0.02060130424797535,
    0.019125955179333687,
    0.018448708578944206,
    0.017878537997603416,
    0.01837874948978424,
    0.019028060138225555,
    0.019670432433485985,
    0.019821947440505028,
    0.018682755529880524,
    0.01880606822669506,
    0.018017098307609558,
    0.016836024820804596,
    0.015560651198029518,
    0.014631061814725399,
    0.014191485941410065,
    0.013978353701531887,
    0.013770436868071556,
    0.013881423510611057,
    0.014298113994300365,
    0.014815660193562508,
    0.015785353258252144,
    0.017846548929810524,
    0.021156659349799156,
    0.024136705324053764,
    0.025843430310487747,
    0.02655206434428692,
    0.02915571630001068,
    0.030728517100214958,
    0.03088025562465191,
    0.030678948387503624,
    0.029435906559228897,
    0.026741882786154747,
    0.025079865008592606,
    0.024292027577757835,
    0.023767489939928055,
    0.021420788019895554,
    0.019137516617774963,
    0.01824122853577137,
    0.01808498613536358,
    0.018688613548874855,
    0.02116445265710354,
    0.02245740406215191,
    0.02574024721980095,
    0.026913652196526527,
    0.028199724853038788,
    0.02655869722366333,
    0.02608964964747429,
    0.024671683087944984,
    0.02294781804084778,
    0.021571937948465347,
    0.02064255252480507,
    0.020456587895751,
    0.020150646567344666,
    0.01973220705986023,
    0.02161923237144947,
    0.022721653804183006,
    0.026133844628930092,
    0.02885332517325878,
    0.03163737431168556,
    0.03416771814227104,
    0.03470926359295845,
    0.03644420579075813,
    0.03553810343146324,
    0.03219480812549591,
    0.028424276039004326,
    0.025212576612830162,
    0.02247481979429722,
    0.0213368721306324,
    0.021083295345306396,
    0.021352611482143402,
    0.021441377699375153,
    0.0226858239620924,
    0.023658480495214462,
    0.02464233711361885,
    0.02512241341173649,
    0.024569155648350716,
    0.02342543564736843,
    0.022871611639857292,
    0.021635062992572784,
    0.02082979492843151,
    0.02119339630007744,
    0.021719004958868027,
    0.023280054330825806,
    0.022612325847148895,
    0.022278301417827606,
    0.019484199583530426,
    0.01964794285595417,
    0.018785428255796432,
    0.018243758007884026,
    0.018183249980211258,
    0.019598865881562233,
    0.022824879735708237,
    0.022255748510360718,
    0.022710764780640602,
    0.021954985335469246,
    0.019448302686214447,
    0.017702313140034676,
    0.01658807508647442,
    0.0158039890229702,
    0.015176358632743359,
    0.015364381484687328,
    0.015026994980871677,
    0.01527948398143053,
    0.015519828535616398,
    0.016993209719657898,
    0.01848069205880165,
    0.019504597410559654,
    0.022930696606636047,
    0.025378793478012085,
    0.030329549685120583,
    0.03066467121243477,
    0.03235125169157982,
    0.035161253064870834,
    0.03715869039297104,
    0.03803000599145889,
    0.037363238632678986,
    0.03577372804284096,
    0.03371451050043106,
    0.03072233498096466,
    0.028208313509821892,
    0.026917943730950356,
    0.02411225438117981,
    0.02098282054066658,
    0.02000325545668602,
    0.020411033183336258,
    0.022172806784510612,
    0.022358298301696777,
    0.0257774256169796,
    0.02631155215203762,
    0.028916697949171066,
    0.02945774421095848,
    0.0312725268304348,
    0.02975914254784584,
    0.02793906070291996,
    0.02882007509469986,
    0.02851034142076969,
    0.026691457256674767,
    0.02437777630984783,
    0.021517235785722733,
    0.018948953598737717,
    0.018375059589743614,
    0.01896035484969616,
    0.02016621269285679,
    0.022078942507505417,
    0.025460466742515564,
    0.02726682648062706,
    0.03004649095237255,
    0.032878611236810684,
    0.03582463040947914,
    0.038312967866659164,
    0.03975139930844307,
    0.036578219383955,
    0.03254086896777153,
    0.02914077788591385,
    0.02555987611413002,
    0.02317853830754757,
    0.021825449541211128,
    0.022367825731635094,
    0.023055827245116234,
    0.023621175438165665,
    0.02432957850396633,
    0.02650117501616478,
    0.028763413429260254,
    0.030516276136040688,
    0.029153943061828613,
    0.028731651604175568,
    0.028912950307130814,
    0.026333361864089966,
    0.023626938462257385,
    0.022962473332881927,
    0.022287234663963318,
    0.02161683887243271,
    0.021294133737683296,
    0.023709170520305634,
    0.025355346500873566,
    0.02831556461751461,
    0.030312225222587585,
    0.03260364010930061,
    0.03410874307155609,
    0.0335572324693203,
    0.032821860164403915,
    0.03127513453364372,
    0.030785657465457916,
    0.030753687024116516,
    0.03139380365610123,
    0.033190302550792694,
    0.034271664917469025,
    0.02810223586857319,
    0.025283480063080788,
    0.023624645546078682,
    0.022205235436558723,
    0.02134593017399311,
    0.021788066253066063,
    0.020444419234991074,
    0.018932614475488663,
    0.01775939203798771,
    0.019437329843640327,
    0.02188379317522049,
    0.021726036444306374,
    0.02182210236787796,
    0.022945892065763474,
    0.021634036675095558,
    0.01887863501906395,
    0.018092939630150795,
    0.01591004990041256,
    0.01553638931363821,
    0.014514870941638947,
    0.014344397000968456,
    0.014473512768745422,
    0.01566545106470585,
    0.01698782667517662,
    0.018239213153719902,
    0.02051166445016861,
    0.022146232426166534,
    0.025241388007998466,
    0.027327390387654305,
    0.02813534624874592,
    0.027001878246665,
    0.02576497569680214,
    0.0242646262049675,
    0.02205684967339039,
    0.020034078508615494,
    0.017864251509308815,
    0.01625327579677105,
    0.016064299270510674,
    0.01645522005856037,
    0.018398571759462357,
    0.019749600440263748,
    0.020310791209340096,
    0.023585952818393707,
    0.026987267658114433,
    0.030073530972003937,
    0.03378310054540634,
    0.036852188408374786,
    0.0416584312915802,
    0.04641269892454147,
    0.0484190508723259,
    0.04998874291777611,
    0.052751023322343826,
    0.054312463849782944,
    0.05371265113353729,
    0.05352223291993141,
    0.052189458161592484,
    0.047369033098220825,
    0.04148290678858757,
    0.037990376353263855,
    0.03657792881131172,
    0.03761664405465126,
    0.03794094920158386,
    0.039187826216220856,
    0.040721576660871506,
    0.04207070544362068,
    0.044138871133327484,
    0.04608386009931564,
    0.04712009057402611,
    0.04407135397195816,
    0.038373541086912155,
    0.03270644322037697,
    0.029011333361268044,
    0.025937074795365334,
    0.023244349285960197,
    0.02134656347334385,
    0.021318525075912476,
    0.022597789764404297,
    0.02200869657099247,
    0.024627652019262314,
    0.026709705591201782,
    0.030143091455101967,
    0.031266771256923676,
    0.03290771320462227,
    0.03410894051194191,
    0.03207864612340927,
    0.02830098383128643,
    0.02419118769466877,
    0.021490605548024178,
    0.01957787573337555,
    0.018815457820892334,
    0.018521180376410484,
    0.018558897078037262,
    0.01884365826845169,
    0.019392848014831543,
    0.01970723643898964,
    0.020644433796405792,
    0.020834069699048996,
    0.02024048939347267,
    0.019806398078799248,
    0.019491897895932198,
    0.019882433116436005,
    0.021212400868535042,
    0.02184574492275715,
    0.024251751601696014,
    0.02385394647717476,
    0.02422778494656086,
    0.02291383221745491,
    0.022969599813222885,
    0.02194506675004959,
    0.021043170243501663,
    0.02118254266679287,
    0.021212955936789513,
    0.022444002330303192,
    0.02498476952314377,
    0.026427561417222023,
    0.029531894251704216,
    0.033036816865205765,
    0.03821230307221413,
    0.04008142277598381,
    0.03988632932305336,
    0.03950914740562439,
    0.03802170231938362,
    0.03520394489169121,
    0.03303131088614464,
    0.030849935486912727,
    0.02900240384042263,
    0.029063530266284943,
    0.030964624136686325,
    0.03625531867146492,
    0.040236156433820724,
    0.04876277223229408,
    0.05136613920331001,
    0.05717211961746216,
    0.06008100509643555,
    0.06524015218019485,
    0.0654265508055687,
    0.06241920590400696,
    0.05608674883842468,
    0.047164469957351685,
    0.04160246253013611,
    0.03689603507518768,
    0.03289788216352463,
    0.028604116290807724,
    0.026492398232221603,
    0.025515276938676834,
    0.024354606866836548,
    0.024912318214774132,
    0.025520069524645805,
    0.025842348113656044,
    0.026443956419825554,
    0.02784823067486286,
    0.031159544363617897,
    0.03250148519873619,
    0.03464449569582939,
    0.03505432978272438,
    0.03769012913107872,
    0.038949403911828995,
    0.04097916930913925,
    0.04092978313565254,
    0.0381123349070549,
    0.03381991386413574,
    0.03044258989393711,
    0.028595061972737312,
    0.02589510567486286,
    0.02453397773206234,
    0.024469628930091858,
    0.02578839659690857,
    0.026734910905361176,
    0.028232449665665627,
    0.0304702278226614,
    0.03191611170768738,
    0.03205772489309311,
    0.03299251198768616,
    0.031037209555506706,
    0.02879607491195202,
    0.026092516258358955,
    0.023462990298867226,
    0.0214694794267416,
    0.020100897178053856,
    0.01967584900557995,
    0.019210422411561012,
    0.0190452728420496,
    0.019964849576354027,
    0.020687159150838852,
    0.022524282336235046,
    0.024565642699599266,
    0.026643991470336914,
    0.027428235858678818,
    0.02507598325610161,
    0.02412111684679985,
    0.02317802980542183,
    0.021678762510418892,
    0.020260293036699295,
    0.01964745670557022,
    0.020085593685507774,
    0.02043985016644001,
    0.021129367873072624,
    0.022665036842226982,
    0.02479580231010914,
    0.026069562882184982,
    0.02807253785431385,
    0.03019225411117077,
    0.03273269534111023,
    0.03427555412054062,
    0.03594169765710831,
    0.0360352024435997,
    0.034534476697444916,
    0.03256094455718994,
    0.02913246862590313,
    0.02659454569220543,
    0.02272535301744938,
    0.020235717296600342,
    0.018750960007309914,
    0.018368301913142204,
    0.018273690715432167,
    0.01920333504676819,
    0.01957589015364647,
    0.021152043715119362,
    0.021169248968362808,
    0.019937461242079735,
    0.020018544048070908,
    0.022118357941508293,
    0.021828027442097664,
    0.020087160170078278,
    0.019078994169831276,
    0.016208922490477562,
    0.014399392530322075,
    0.01369238831102848,
    0.01285177655518055,
    0.01297360472381115,
    0.012896121479570866,
    0.013461707159876823,
    0.014531639404594898,
    0.015937553718686104,
    0.016499778255820274,
    0.0190857145935297,
    0.020080462098121643,
    0.022732669487595558,
    0.022653257474303246,
    0.024427464231848717,
    0.02761036902666092,
    0.02865988202393055,
    0.028462493792176247,
    0.029801715165376663,
    0.030016083270311356,
    0.02857798896729946,
    0.02761886641383171,
    0.025640370324254036,
    0.02431500516831875,
    0.022663822397589684,
    0.022821880877017975,
    0.02288038842380047,
    0.022989125922322273,
    0.024319767951965332,
    0.025797629728913307,
    0.02919328212738037,
    0.03297247365117073,
    0.03582831099629402,
    0.037162430584430695,
    0.04184989631175995,
    0.04526080936193466,
    0.048542097210884094,
    0.05091888830065727,
    0.05422838404774666,
    0.05430413782596588,
    0.052961330860853195,
    0.04863106086850166,
    0.04051540046930313,
    0.034225884824991226,
    0.03279564529657364,
    0.03079097345471382,
    0.028907500207424164,
    0.028448497876524925,
    0.03096153400838375,
    0.032138291746377945,
    0.03532945737242699,
    0.03683723881840706,
    0.04263566806912422,
    0.0440472736954689,
    0.04633144289255142,
    0.043206837028265,
    0.04041793942451477,
    0.03764713928103447,
    0.03295164182782173,
    0.029105547815561295,
    0.026747697964310646,
    0.026311088353395462,
    0.026929618790745735,
    0.02872936986386776,
    0.031904708594083786,
    0.034547362476587296,
    0.037490684539079666,
    0.04070695489645004,
    0.044522229582071304,
    0.04866918921470642,
    0.048375971615314484,
    0.0442114919424057,
    0.03916383534669876,
    0.03486427664756775,
    0.03098136931657791,
    0.029279936105012894,
    0.029151391237974167,
    0.029142262414097786,
    0.02786940522491932,
    0.02832329273223877,
    0.03001265414059162,
    0.03173559531569481,
    0.03313160315155983,
    0.03643941506743431,
    0.03462143614888191,
    0.03279899060726166,
    0.033229075372219086,
    0.03379754722118378,
    0.033944081515073776,
    0.034620847553014755,
    0.034644417464733124,
    0.03824383392930031,
    0.03836619481444359,
    0.03997717797756195,
    0.03560261428356171,
    0.03327285498380661,
    0.031176183372735977,
    0.02915378101170063,
    0.027641713619232178,
    0.02713470533490181,
    0.02868250384926796,
    0.03046666644513607,
    0.030632687732577324,
    0.031539373099803925,
    0.03357349708676338,
    0.037909749895334244,
    0.03215321525931358,
    0.02897118404507637,
    0.027450671419501305,
    0.025303514674305916,
    0.024761825799942017,
    0.0239902064204216,
    0.024106724187731743,
    0.024962224066257477,
    0.027046160772442818,
    0.028184641152620316,
    0.030985254794359207,
    0.03316253423690796,
    0.03880997747182846,
    0.0429832898080349,
    0.04718539118766785,
    0.05207476392388344,
    0.06032557412981987,
    0.06389281153678894,
    0.06565523147583008,
    0.06460414081811905,
    0.0598846971988678,
    0.052185188978910446,
    0.04566272720694542,
    0.0414079949259758,
    0.03621884807944298,
    0.03356022387742996,
    0.03258742764592171,
    0.032257914543151855,
    0.031424034386873245,
    0.031149551272392273,
    0.03287026658654213,
    0.035099174827337265,
    0.03748099133372307,
    0.04084091633558273,
    0.04355030134320259,
    0.04122002795338631,
    0.042003337293863297,
    0.042851485311985016,
    0.04381362348794937,
    0.04325645789504051,
    0.044585611671209335,
    0.047166552394628525,
    0.04818574711680412,
    0.05002624914050102,
    0.05425132066011429,
    0.05991838127374649,
    0.06273842602968216,
    0.06514376401901245,
    0.06426696479320526,
    0.061518993228673935,
    0.06084228307008743,
    0.062135081738233566,
    0.0626620203256607,
    0.06334131211042404,
    0.06316366791725159,
    0.06254853308200836,
    0.062293071299791336,
    0.06055866926908493,
    0.05938247591257095,
    0.05662461742758751,
    0.04926997050642967,
    0.042841099202632904,
    0.038171228021383286,
    0.033679187297821045,
    0.030667619779706,
    0.02979949116706848,
    0.029409345239400864,
    0.029095545411109924,
    0.030492624267935753,
    0.03080672025680542,
    0.03419678658246994,
    0.03826804459095001,
    0.04426103085279465,
    0.04946054518222809,
    0.05176769196987152,
    0.050695229321718216,
    0.04399687424302101,
    0.03752171993255615,
    0.033286843448877335,
    0.03027527779340744,
    0.028767094016075134,
    0.027895376086235046,
    0.02787630446255207,
    0.028771264478564262,
    0.02967054955661297,
    0.029751820489764214,
    0.029548099264502525,
    0.02960808388888836,
    0.03004414774477482,
    0.02705681137740612,
    0.025959104299545288,
    0.02472843788564205,
    0.024229934439063072,
    0.025914952158927917,
    0.0263166856020689,
    0.03043064847588539,
    0.030598098412156105,
    0.03318996727466583,
    0.03188801184296608,
    0.03287584334611893,
    0.03232543542981148,
    0.03041604906320572,
    0.02965293638408184,
    0.02928924933075905,
    0.029389915987849236,
    0.026217591017484665,
    0.026261772960424423,
    0.02571416273713112,
    0.02670832723379135,
    0.027957210317254066,
    0.030534785240888596,
    0.03001265414059162,
    0.02839319035410881,
    0.027798200026154518,
    0.027270175516605377,
    0.02644249051809311,
    0.026144318282604218,
    0.027163168415427208,
    0.02878130041062832,
    0.02892662025988102,
    0.02987712062895298,
    0.03099423460662365,
    0.03628290444612503,
    0.04118499159812927,
    0.0449194498360157,
    0.047185905277729034,
    0.05211113020777702,
    0.053933851420879364,
    0.05220835655927658,
    0.04842643439769745,
    0.04622253403067589,
    0.04898162931203842,
    0.04930790886282921,
    0.048494186252355576,
    0.045147720724344254,
    0.036474715918302536,
    0.03203947842121124,
    0.03374994918704033,
    0.03572263568639755,
    0.036936018615961075,
    0.04096413031220436,
    0.05023382231593132,
    0.056944701820611954,
    0.06063719838857651,
    0.07047269493341446,
    0.07390627264976501,
    0.0782206729054451,
    0.08112356811761856,
    0.07776769250631332,
    0.07238350808620453,
    0.07054451107978821,
    0.07902976870536804,
    0.08458012342453003,
    0.09065469354391098,
    0.08194390684366226,
    0.0790623128414154,
    0.06967252492904663,
    0.07348264008760452,
    0.07365689426660538,
    0.07483130693435669,
    0.06359007954597473,
    0.05244789272546768,
    0.04770065099000931,
    0.042836982756853104,
    0.03925975039601326,
    0.036180321127176285,
    0.03622867166996002,
    0.03335735946893692,
    0.032438844442367554,
    0.03336955979466438,
    0.03670854866504669,
    0.04166649281978607,
    0.04478609189391136,
    0.047711458057165146,
    0.05211850628256798,
    0.0506037175655365,
    0.047777701169252396,
    0.0466194711625576,
    0.045499447733163834,
    0.04025262966752052,
    0.03695501387119293,
    0.038948725908994675,
    0.0388571135699749,
    0.039887841790914536,
    0.042005036026239395,
    0.04488222301006317,
    0.04371871054172516,
    0.04085840284824371,
    0.0422845222055912,
    0.0404009185731411,
    0.03517747297883034,
    0.03056972287595272,
    0.027273211628198624,
    0.025334149599075317,
    0.023644715547561646,
    0.02345973439514637,
    0.024195324629545212,
    0.024491025134921074,
    0.024795709177851677,
    0.02732841484248638,
    0.029141856357455254,
    0.032824669033288956,
    0.03556939959526062,
    0.03584882244467735,
    0.03370322659611702,
    0.030238915234804153,
    0.02841276302933693,
    0.026633309200406075,
    0.02589285746216774,
    0.02536114491522312,
    0.02584769017994404,
    0.02606774866580963,
    0.026309330016374588,
    0.024809375405311584,
    0.023145684972405434,
    0.022611699998378754,
    0.021552613005042076,
    0.022655025124549866,
    0.02313552051782608,
    0.02417132817208767,
    0.026750922203063965,
    0.027104826644062996,
    0.03034752607345581,
    0.03209130838513374,
    0.0371529795229435,
    0.03937222436070442,
    0.03995351493358612,
    0.038867704570293427,
    0.03573131561279297,
    0.03367419168353081,
    0.030559100210666656,
    0.028240013867616653,
    0.02660120092332363,
    0.026723450049757957,
    0.026726623997092247,
    0.027855530381202698,
    0.02947954647243023,
    0.03133925050497055,
    0.03514627739787102,
    0.03782568499445915,
    0.04125511646270752,
    0.04031657427549362,
    0.04003739729523659,
    0.038726601749658585,
    0.03586719557642937,
    0.033057693392038345,
    0.03168189153075218,
    0.030114512890577316,
    0.031133417040109634,
    0.033172376453876495,
    0.032555267214775085,
    0.030984757468104362,
    0.0316694937646389,
    0.0346311517059803,
    0.03612364083528519,
    0.03990631550550461,
    0.041594669222831726,
    0.04397952929139137,
    0.043216098099946976,
    0.048754699528217316,
    0.048912107944488525,
    0.04755943641066551,
    0.047917257994413376,
    0.050625480711460114,
    0.05357087776064873,
    0.051089778542518616,
    0.04511724412441254,
    0.040368977934122086,
    0.03706061840057373,
    0.0377243347465992,
    0.040507227182388306,
    0.04476197808980942,
    0.049371104687452316,
    0.052699942141771317,
    0.05502704530954361,
    0.06044809892773628,
    0.061885133385658264,
    0.06692386418581009,
    0.06623946130275726,
    0.058706820011138916,
    0.05106703191995621,
    0.04669000953435898,
    0.042298078536987305,
    0.03889971598982811,
    0.03726537153124809,
    0.03955649212002754,
    0.037521496415138245,
    0.0362732857465744,
    0.0370783805847168,
    0.04533849284052849,
    0.052560221403837204,
    0.05461934208869934,
    0.05903186276555061,
    0.06101116165518761,
    0.06312070041894913,
    0.06179577857255936,
    0.058619990944862366,
    0.05414944887161255,
    0.05434142425656319,
    0.05398053675889969,
    0.05652318149805069,
    0.05423341318964958,
    0.048604175448417664,
    0.045309048146009445,
    0.045110709965229034,
    0.056704867631196976,
    0.0652356743812561,
    0.07415740936994553,
    0.07834135740995407,
    0.08110515773296356,
    0.07944642007350922,
    0.07506164908409119,
    0.07453843951225281,
    0.07032998651266098,
    0.06938855350017548,
    0.06676328927278519,
    0.07027360796928406,
    0.07006626576185226,
    0.073764868080616,
    0.07726244628429413,
    0.08008475601673126,
    0.08562993258237839,
    0.09116057306528091,
    0.09853361546993256,
    0.10238568484783173,
    0.10441175848245621,
    0.10113868117332458,
    0.1002308800816536,
    0.09704561531543732,
    0.09395997226238251,
    0.08868055790662766,
    0.07890333980321884,
    0.0681079551577568,
    0.05637487769126892,
    0.05080786719918251,
    0.04635995626449585,
    0.042350780218839645,
    0.039088595658540726,
    0.03717896714806557,
    0.036052774637937546,
    0.03589550405740738,
    0.03457612544298172,
    0.03427920863032341,
    0.035935137420892715,
    0.042353518307209015,
    0.04793545603752136,
    0.05285137891769409,
    0.05319792032241821,
    0.05279923230409622,
    0.05533785745501518,
    0.05756808817386627,
    0.057232171297073364,
    0.05223570391535759,
    0.04541599377989769,
    0.040095143020153046,
    0.03713877871632576,
    0.035827163606882095,
    0.035349760204553604,
    0.03547753393650055,
    0.03424515947699547,
    0.035136397927999496,
    0.03415760025382042,
    0.03305863216519356,
    0.03609275072813034,
    0.04122946038842201,
    0.04813065379858017,
    0.054072462022304535,
    0.058730896562337875,
    0.06117960065603256,
    0.06486313790082932,
    0.0634474903345108,
    0.061191853135824203,
    0.0608428418636322,
    0.060134176164865494,
    0.06066294014453888,
    0.05651470646262169,
    0.05896737426519394,
    0.04972599819302559,
    0.054606758058071136,
    0.05589812248945236,
    0.05943704769015312,
    0.06248301640152931,
    0.07371054589748383,
    0.08487037569284439,
    0.09157974272966385,
    0.09151726216077805,
    0.09111548215150833,
    0.08765289932489395,
    0.08211109787225723,
    0.07274623215198517,
    0.0607115775346756,
    0.05185648426413536,
    0.04480908066034317,
    0.039736296981573105,
    0.03644217923283577,
    0.03639288991689682,
    0.03788897395133972,
    0.037096522748470306,
    0.038719091564416885,
    0.038627900183200836,
    0.03906070441007614,
    0.041273750364780426,
    0.03823774680495262,
    0.03519231081008911,
    0.0325310155749321,
    0.028615275397896767,
    0.02457851730287075,
    0.0231877900660038,
    0.022292446345090866,
    0.022366413846611977,
    0.023534400388598442,
    0.02493377961218357,
    0.025991635397076607,
    0.030448855832219124,
    0.03512691706418991,
    0.03845101594924927,
    0.03638620302081108,
    0.03458532318472862,
    0.03296354413032532,
    0.03144435957074165,
    0.029739173129200935,
    0.028762558475136757,
    0.028435366228222847,
    0.029832985252141953,
    0.03088541515171528,
    0.030083727091550827,
    0.02873334288597107,
    0.02744307927787304,
    0.026162324473261833,
    0.024735961109399796,
    0.02412501722574234,
    0.023557402193546295,
    0.024723252281546593,
    0.027282265946269035,
    0.028379900380969048,
    0.03051028773188591,
    0.031322333961725235,
    0.037614624947309494,
    0.0342571847140789,
    0.028907928615808487,
    0.024666931480169296,
    0.0211706031113863,
    0.018874211236834526,
    0.01751077175140381,
    0.017180733382701874,
    0.016943180933594704,
    0.017697570845484734,
    0.01902756281197071,
    0.021669834852218628,
    0.02337544597685337,
    0.026521196588873863,
    0.029063604772090912,
    0.033425331115722656,
    0.037253689020872116,
    0.04266415908932686,
    0.04409322142601013,
    0.0422978401184082,
    0.03888142853975296,
    0.03448128700256348,
    0.029337923973798752,
    0.025233639404177666,
    0.022563686594367027,
    0.020501064136624336,
    0.019391397014260292,
    0.018541978672146797,
    0.017652291804552078,
    0.017441537231206894,
    0.017451459541916847,
    0.01771862991154194,
    0.019802844151854515,
    0.02113433927297592,
    0.023304477334022522,
    0.024532612413167953,
    0.02507895603775978,
    0.025068392977118492,
    0.02484411932528019,
    0.0251407902687788,
    0.024281593039631844,
    0.022183198481798172,
    0.01960521563887596,
    0.017741823568940163,
    0.016255836933851242,
    0.01548987627029419,
    0.015854094177484512,
    0.017233213409781456,
    0.018670974299311638,
    0.01936788111925125,
    0.02063775062561035,
    0.022830266505479813,
    0.025163719430565834,
    0.028931645676493645,
    0.03028883971273899,
    0.029555978253483772,
    0.02724025398492813,
    0.0244890209287405,
    0.02197645604610443,
    0.020172182470560074,
    0.019268961623311043,
    0.018848154693841934,
    0.01983223296701908,
    0.021033169701695442,
    0.02097967639565468,
    0.02438855729997158,
    0.02668401226401329,
    0.030348075553774834,
    0.03170562908053398,
    0.034917961806058884,
    0.03695997595787048,
    0.033798396587371826,
    0.030086496844887733,
    0.02673531323671341,
    0.024537116289138794,
    0.02380538545548916,
    0.023845354095101357,
    0.02366459183394909,
    0.02451261132955551,
    0.024441558867692947,
    0.02521379105746746,
    0.024222038686275482,
    0.02372921071946621,
    0.0233014989644289,
    0.021648641675710678,
    0.021821726113557816,
    0.023041224107146263,
    0.02371339686214924,
    0.026395302265882492,
    0.025621360167860985,
    0.02693728357553482,
    0.02272716723382473,
    0.023359710350632668,
    0.022689789533615112,
    0.021190907806158066,
    0.0206907968968153,
    0.020330583676695824,
    0.020192628726363182,
    0.020986689254641533,
    0.022144950926303864,
    0.023007860407233238,
    0.02551606297492981,
    0.029164347797632217,
    0.026822533458471298,
    0.022979825735092163,
    0.021703245118260384,
    0.020015845075249672,
    0.019233454018831253,
    0.018141338601708412,
    0.0178473349660635,
    0.017658090218901634,
    0.01818179525434971,
    0.018662596121430397,
    0.02113444358110428,
    0.023552002385258675,
    0.027076398953795433,
    0.030294254422187805,
    0.03480704128742218,
    0.038147617131471634,
    0.043452970683574677,
    0.04335446655750275,
    0.040315430611371994,
    0.035334017127752304,
    0.03031747229397297,
    0.02665075473487377,
    0.02457849495112896,
    0.023599134758114815,
    0.022065674886107445,
    0.020840691402554512,
    0.01987413689494133,
    0.01974605582654476,
    0.021365104243159294,
    0.023370949551463127,
    0.026278620585799217,
    0.02794911526143551,
    0.03089863248169422,
    0.03304160758852959,
    0.037902578711509705,
    0.038422152400016785,
    0.038554124534130096,
    0.037239111959934235,
    0.03420932590961456,
    0.03000091388821602,
    0.026831503957509995,
    0.024286434054374695,
    0.022539209574460983,
    0.02141270413994789,
    0.021370887756347656,
    0.022048791870474815,
    0.023601563647389412,
    0.02556982822716236,
    0.027424007654190063,
    0.031356412917375565,
    0.03715569153428078,
    0.036587949842214584,
    0.03657880052924156,
    0.03662998601794243,
    0.03357170149683952,
    0.030247781425714493,
    0.02669878490269184,
    0.02430107071995735,
    0.0228082574903965,
    0.02271578647196293,
    0.024779317900538445,
    0.026631752029061317,
    0.026745310053229332,
    0.030186034739017487,
    0.032666224986314774,
    0.03594006225466728,
    0.037327494472265244,
    0.03991945460438728,
    0.04154110327363014,
    0.03753964602947235,
    0.03320420905947685,
    0.02920050546526909,
    0.025766896083950996,
    0.023713435977697372,
    0.02261345088481903,
    0.02328108437359333,
    0.024419907480478287,
    0.02431192249059677,
    0.02695307321846485,
    0.028453202918171883,
    0.029680587351322174,
    0.03133105859160423,
    0.031235724687576294,
    0.029750952497124672,
    0.027420740574598312,
    0.0262086633592844,
    0.02466263622045517,
    0.023879380896687508,
    0.02413836121559143,
    0.02677583508193493,
    0.02747987024486065,
    0.030914636328816414,
    0.03352990746498108,
    0.03621596097946167,
    0.037028275430202484,
    0.039112530648708344,
    0.04172737896442413,
    0.042579829692840576,
    0.042580075562000275,
    0.04317069798707962,
    0.042803142219781876,
    0.04334918409585953,
    0.04237518087029457,
    0.041339512914419174,
    0.03819327428936958,
    0.03514079749584198,
    0.031493984162807465,
    0.028622783720493317,
    0.02664397843182087,
    0.024243781343102455,
    0.022821083664894104,
    0.021668050438165665,
    0.022088870406150818,
    0.022389894351363182,
    0.024871332570910454,
    0.025317640975117683,
    0.028971627354621887,
    0.030066095292568207,
    0.03135645017027855,
    0.03187455236911774,
    0.03232264518737793,
    0.030701367184519768,
    0.028421813622117043,
    0.02587476745247841,
    0.023647485300898552,
    0.021251389756798744,
    0.019800113514065742,
    0.018654808402061462,
    0.017767837271094322,
    0.017205696552991867,
    0.016941241919994354,
    0.016785474494099617,
    0.017142996191978455,
    0.01775774545967579,
    0.019358618184924126,
    0.022076688706874847,
    0.023142337799072266,
    0.025464635342359543,
    0.02751409448683262,
    0.029053257778286934,
    0.030222676694393158,
    0.03151752054691315,
    0.030953552573919296,
    0.029324356466531754,
    0.026643285527825356,
    0.024218961596488953,
    0.022396111860871315,
    0.020629459992051125,
    0.020005324855446815,
    0.019767776131629944,
    0.02096646837890148,
    0.021728210151195526,
    0.0239388607442379,
    0.025399701669812202,
    0.027292346581816673,
    0.02674742601811886,
    0.025924932211637497,
    0.025725238025188446,
    0.023503253236413002,
    0.021377110853791237,
    0.019215570762753487,
    0.0180061012506485,
    0.01712929643690586,
    0.017215099185705185,
    0.017369046807289124,
    0.017844291403889656,
    0.019065283238887787,
    0.019540980458259583,
    0.022902904078364372,
    0.025092821568250656,
    0.026862462982535362,
    0.027422940358519554,
    0.028744615614414215,
    0.029965708032250404,
    0.02734101004898548,
    0.024402931332588196,
    0.02177770622074604,
    0.019515808671712875,
    0.01833447441458702,
    0.01794290356338024,
    0.01928314007818699,
    0.01973530650138855,
    0.01942461170256138,
    0.019594157114624977,
    0.019736580550670624,
    0.020121848210692406,
    0.01884874515235424,
    0.018513614311814308,
    0.017496280372142792,
    0.016784420236945152,
    0.01743810437619686,
    0.018522784113883972,
    0.01961546577513218,
    0.021968115121126175,
    0.02242206409573555,
    0.024805720895528793,
    0.024764923378825188,
    0.025995923206210136,
    0.02455812692642212,
    0.023107469081878662,
    0.022136030718684196,
    0.021163983270525932,
    0.021341850981116295,
    0.02363763377070427,
    0.024928787723183632,
    0.025834647938609123,
    0.026427537202835083,
    0.026819691061973572,
    0.0279762614518404,
    0.027360407635569572,
    0.02836448699235916,
    0.025987526401877403,
    0.024778690189123154,
    0.023172302171587944,
    0.022242417559027672,
    0.02102923020720482,
    0.02088012546300888,
    0.021549642086029053,
    0.023022549226880074,
    0.02377925254404545,
    0.025105198845267296,
    0.026466796174645424,
    0.027429522946476936,
    0.02958211675286293,
    0.03197102248668671,
    0.03300804644823074,
    0.031790632754564285,
    0.029983345419168472,
    0.028330642729997635,
    0.02678840048611164,
    0.02598688006401062,
    0.025235597044229507,
    0.025213509798049927,
    0.024597175419330597,
    0.024317344650626183,
    0.02377549558877945,
    0.023445429280400276,
    0.024028463289141655,
    0.025220036506652832,
    0.026871899142861366,
    0.027907829731702805,
    0.0296284481883049,
    0.032974474132061005,
    0.03655818849802017,
    0.03751619532704353,
    0.04009861871600151,
    0.04330703616142273,
    0.04505543038249016,
    0.045323293656110764,
    0.044286198914051056,
    0.041352976113557816,
    0.038466695696115494,
    0.03660240024328232,
    0.03709034249186516,
    0.03771410509943962,
    0.037655364722013474,
    0.04092985764145851,
    0.042628318071365356,
    0.046538714319467545,
    0.04827412962913513,
    0.05005470663309097,
    0.05165066197514534,
    0.05232831463217735,
    0.0517120435833931,
    0.04751750826835632,
    0.04276997223496437,
    0.03583643212914467,
    0.03244360536336899,
    0.02788531966507435,
    0.02498042955994606,
    0.023103218525648117,
    0.0227518193423748,
    0.024204282090067863,
    0.02543509006500244,
    0.02611869014799595,
    0.024570031091570854,
    0.027244102209806442,
    0.02836819551885128,
    0.027940455824136734,
    0.029100622981786728,
    0.028029266744852066,
    0.030811602249741554,
    0.030524658039212227,
    0.029747987166047096,
    0.026796407997608185,
    0.024352867156267166,
    0.023173663765192032,
    0.023747429251670837,
    0.02409398928284645,
    0.025638898834586143,
    0.026950085535645485,
    0.029449613764882088,
    0.03308901563286781,
    0.039112892001867294,
    0.044240802526474,
    0.04946261644363403,
    0.050163161009550095,
    0.048073187470436096,
    0.04275035858154297,
    0.04094923287630081,
    0.0378093421459198,
    0.03556424006819725,
    0.034184087067842484,
    0.03202732652425766,
    0.028804276138544083,
    0.02506754919886589,
    0.023236822336912155,
    0.02186899445950985,
    0.020947154611349106,
    0.022225962951779366,
    0.023043349385261536,
    0.023872749879956245,
    0.02323245443403721,
    0.023011086508631706,
    0.024384599179029465,
    0.025871725752949715,
    0.026849057525396347,
    0.02753904089331627,
    0.02748565562069416,
    0.026111450046300888,
    0.022361278533935547,
    0.020444681867957115,
    0.01951884664595127,
    0.019072553142905235,
    0.018879607319831848,
    0.01987939327955246,
    0.020450053736567497,
    0.021932343021035194,
    0.022382428869605064,
    0.02292078360915184,
    0.026112977415323257,
    0.028008176013827324,
    0.031555499881505966,
    0.033061686903238297,
    0.03529555723071098,
    0.037252672016620636,
    0.039108261466026306,
    0.03560907766222954,
    0.030855782330036163,
    0.02883637323975563,
    0.027110297232866287,
    0.02674739621579647,
    0.02756214700639248,
    0.030545180663466454,
    0.031267523765563965,
    0.03285466879606247,
    0.03528910130262375,
    0.036384955048561096,
    0.036442309617996216,
    0.039077531546354294,
    0.04428517073392868,
    0.05274179205298424,
    0.056208398193120956,
    0.05853309854865074,
    0.058989863842725754,
    0.06483758985996246,
    0.0650157630443573,
    0.06617458909749985,
    0.06710037589073181,
    0.06844412535429001,
    0.06749368458986282,
    0.06530582904815674,
    0.061606939882040024,
    0.05810006335377693,
    0.061798095703125,
    0.06770092248916626,
    0.07439251989126205,
    0.07299487292766571,
    0.07416769117116928,
    0.07125518471002579,
    0.07950066775083542,
    0.07777844369411469,
    0.07331153005361557,
    0.06780454516410828,
    0.06609319150447845,
    0.06232064589858055,
    0.05666344612836838,
    0.04988841339945793,
    0.04566585272550583,
    0.04448532685637474,
    0.04176817461848259,
    0.04310411959886551,
    0.04402925446629524,
    0.04603298380970955,
    0.04546866565942764,
    0.04516158625483513,
    0.044181205332279205,
    0.03919409215450287,
    0.034772325307130814,
    0.030925096943974495,
    0.02717025764286518,
    0.02477693371474743,
    0.023711195215582848,
    0.024169685319066048,
    0.024092016741633415,
    0.024022839963436127,
    0.024954039603471756,
    0.02540762349963188,
    0.02451033890247345,
    0.023529449477791786,
    0.02270999364554882,
    0.02126871794462204,
    0.020247364416718483,
    0.02039499208331108,
    0.02136879414319992,
    0.021700648590922356,
    0.02258377894759178,
    0.022481372579932213,
    0.02224341407418251,
    0.020947877317667007,
    0.020292095839977264,
    0.019208500161767006,
    0.018162695690989494,
    0.017679110169410706,
    0.018419640138745308,
    0.02017958089709282,
    0.020255722105503082,
    0.021932803094387054,
    0.024005265906453133,
    0.02437717467546463,
    0.02396787889301777,
    0.024483313784003258,
    0.02463691122829914,
    0.024008331820368767,
    0.023074323311448097,
    0.021609939634799957,
    0.01969282515347004,
    0.01841539889574051,
    0.01659516990184784,
    0.01591893658041954,
    0.015716059133410454,
    0.016293205320835114,
    0.016774585470557213,
    0.01757717877626419,
    0.01782149076461792,
    0.018181651830673218,
    0.017393063753843307,
    0.01671932451426983,
    0.01582043245434761,
    0.014800433069467545,
    0.014107410795986652,
    0.013727928511798382,
    0.013478740118443966,
    0.013363011181354523,
    0.013239811174571514,
    0.013313385657966137,
    0.013540535233914852,
    0.013925832696259022,
    0.014626738615334034,
    0.01488298736512661,
    0.016190357506275177,
    0.01817486807703972,
    0.01942639984190464,
    0.021108578890562057,
    0.022588511928915977,
    0.023279301822185516,
    0.023730581626296043,
    0.023971958085894585,
    0.02500186674296856,
    0.023569738492369652,
    0.02058304287493229,
    0.01840026117861271,
    0.01710078865289688,
    0.016014067456126213,
    0.015589396469295025,
    0.01608150079846382,
    0.01712964102625847,
    0.01838771626353264,
    0.021039947867393494,
    0.023633765056729317,
    0.026742760092020035,
    0.027296708896756172,
    0.03248422220349312,
    0.034462012350559235,
    0.03563329204916954,
    0.03181198611855507,
    0.0279044471681118,
    0.025076473131775856,
    0.022664176300168037,
    0.021039649844169617,
    0.02006169967353344,
    0.021341687068343163,
    0.022810988128185272,
    0.02208271063864231,
    0.025176946073770523,
    0.026948971673846245,
    0.03137965500354767,
    0.032543886452913284,
    0.03543178737163544,
    0.03528141602873802,
    0.0336674265563488,
    0.031140197068452835,
    0.027531912550330162,
    0.02422494627535343,
    0.021717332303524017,
    0.02026289328932762,
    0.019421041011810303,
    0.019109422340989113,
    0.019578764215111732,
    0.020222429186105728,
    0.02038455381989479,
    0.02161429449915886,
    0.02257349342107773,
    0.0227753184735775,
    0.021896973252296448,
    0.021397171542048454,
    0.019974255934357643,
    0.019095528870821,
    0.018989017233252525,
    0.01967819407582283,
    0.01997334696352482,
    0.02071736939251423,
    0.019789963960647583,
    0.01900346577167511,
    0.017517779022455215,
    0.016687018796801567,
    0.015635691583156586,
    0.014764237217605114,
    0.0143410200253129,
    0.01406377274543047,
    0.013920137658715248,
    0.013996589928865433,
    0.014855468645691872,
    0.014869404025375843,
    0.015436563640832901,
    0.016203707084059715,
    0.016055656597018242,
    0.013674722984433174,
    0.012740574777126312,
    0.011950097978115082,
    0.011345036327838898,
    0.01092714536935091,
    0.010759035125374794,
    0.010883395560085773,
    0.011335995979607105,
    0.012019796296954155,
    0.01319638080894947,
    0.01419474184513092,
    0.01625411957502365,
    0.017910238355398178,
    0.018940897658467293,
    0.01863466389477253,
    0.01939730904996395,
    0.019632959738373756,
    0.01963888108730316,
    0.018263939768075943,
    0.016842804849147797,
    0.015298105776309967,
    0.014174050651490688,
    0.013340265490114689,
    0.012957987375557423,
    0.012705840170383453,
    0.012574192136526108,
    0.012560553848743439,
    0.012759224511682987,
    0.013500403612852097,
    0.014237488619983196,
    0.015147541649639606,
    0.01745368354022503,
    0.019979698583483696,
    0.02151024341583252,
    0.021286359056830406,
    0.022834476083517075,
    0.02361159212887287,
    0.024463260546326637,
    0.023708602413535118,
    0.021324915811419487,
    0.01888353005051613,
    0.01722199097275734,
    0.016185270622372627,
    0.015274778008460999,
    0.015225911512970924,
    0.016134392470121384,
    0.01682480424642563,
    0.01691397652029991,
    0.01734638772904873,
    0.017120828852057457,
    0.015465128235518932,
    0.016286931931972504,
    0.015713145956397057,
    0.015228957869112492,
    0.014810078777372837,
    0.014859935268759727,
    0.015105785802006721,
    0.015535637736320496,
    0.017095033079385757,
    0.019883055239915848,
    0.021341677755117416,
    0.024040136486291885,
    0.025378393009305,
    0.02701113186776638,
    0.02685427851974964,
    0.026845719665288925,
    0.023261401802301407,
    0.01970512606203556,
    0.017961381003260612,
    0.017115581780672073,
    0.01646086946129799,
    0.016072796657681465,
    0.017664309591054916,
    0.018708299845457077,
    0.019655991345643997,
    0.022984804585576057,
    0.026309793815016747,
    0.03214501217007637,
    0.034658271819353104,
    0.03786690533161163,
    0.039451293647289276,
    0.039325159043073654,
    0.03826576843857765,
    0.03798979893326759,
    0.037172675132751465,
    0.034577835351228714,
    0.033126480877399445,
    0.03053974360227585,
    0.026317160576581955,
    0.02296248823404312,
    0.02191930077970028,
    0.02060748264193535,
    0.019985325634479523,
    0.02072390541434288,
    0.022040151059627533,
    0.022569233551621437,
    0.02399894967675209,
    0.024398112669587135,
    0.022648053243756294,
    0.022487811744213104,
    0.02196706086397171,
    0.024027541279792786,
    0.022608360275626183,
    0.019782546907663345,
    0.018223842605948448,
    0.01691276580095291,
    0.01579534262418747,
    0.01533288974314928,
    0.014947977848351002,
    0.015295089222490788,
    0.01596890389919281,
    0.018279345706105232,
    0.020114365965127945,
    0.022094061598181725,
    0.023647097870707512,
    0.025929009541869164,
    0.028440697118639946,
    0.031112097203731537,
    0.03183251619338989,
    0.0288102850317955,
    0.02471346966922283,
    0.0216140765696764,
    0.019519265741109848,
    0.01782848685979843,
    0.017068373039364815,
    0.017020830884575844,
    0.01716643199324608,
    0.017911212518811226,
    0.018403569236397743,
    0.01860680617392063,
    0.020228492096066475,
    0.022678397595882416,
    0.024562470614910126,
    0.02297370322048664,
    0.023273035883903503,
    0.023780742660164833,
    0.024625498801469803,
    0.023914756253361702,
    0.023244701325893402,
    0.02318010851740837,
    0.023925477638840675,
    0.02321428433060646,
    0.02198786661028862,
    0.020232602953910828,
    0.018907273188233376,
    0.018327170982956886,
    0.017170213162899017,
    0.018731772899627686,
    0.022151203826069832,
    0.025473587214946747,
    0.028972171247005463,
    0.02931777387857437,
    0.027483049780130386,
    0.024593263864517212,
    0.022059816867113113,
    0.019810961559414864,
    0.018295234069228172,
    0.017206760123372078,
    0.01699806936085224,
    0.01694302074611187,
    0.017519501969218254,
    0.018236711621284485,
    0.020207205787301064,
    0.021910175681114197,
    0.024406196549534798,
    0.02613011747598648,
    0.02969001792371273,
    0.03196725249290466,
    0.03039398603141308,
    0.026927687227725983,
    0.024082859978079796,
    0.02096521109342575,
    0.019010063260793686,
    0.017807992175221443,
    0.01782369613647461,
    0.01822584681212902,
    0.018655220046639442,
    0.018866876140236855,
    0.020521992817521095,
    0.02098240703344345,
    0.021680384874343872,
    0.020372603088617325,
    0.019635144621133804,
    0.020415738224983215,
    0.0208849236369133,
    0.02086898684501648,
    0.02281261421740055,
    0.022638993337750435,
    0.02096356637775898,
    0.018496153876185417,
    0.01776617206633091,
    0.016377557069063187,
    0.01516587845981121,
    0.014491391368210316,
    0.014430053532123566,
    0.014207638800144196,
    0.013781954534351826,
    0.013530907221138477,
    0.013738585636019707,
    0.014303901232779026,
    0.014451315626502037,
    0.01540828961879015,
    0.01708819344639778,
    0.01840856485068798,
    0.01909678801894188,
    0.018912261351943016,
    0.018214348703622818,
    0.017128339037299156,
    0.01601104810833931,
    0.014595376327633858,
    0.014060631394386292,
    0.013820720836520195,
    0.014309476129710674,
    0.015035904943943024,
    0.016307899728417397,
    0.016200385987758636,
    0.018328141421079636,
    0.019944002851843834,
    0.02161327190697193,
    0.023390032351017,
    0.024420427158474922,
    0.024399803951382637,
    0.022900205105543137,
    0.021740199998021126,
    0.019507762044668198,
    0.017510976642370224,
    0.01629604771733284,
    0.01569938287138939,
    0.015568920411169529,
    0.01526143029332161,
    0.015189861878752708,
    0.015531416051089764,
    0.016379661858081818,
    0.017083460465073586,
    0.019210493192076683,
    0.02122950553894043,
    0.022748610004782677,
    0.023693105205893517,
    0.02509797178208828,
    0.024417558684945107,
    0.022907039150595665,
    0.020929263904690742,
    0.01878916285932064,
    0.016976211220026016,
    0.0158592127263546,
    0.015330234542489052,
    0.014790923334658146,
    0.014051414094865322,
    0.013539515435695648,
    0.013299880549311638,
    0.013110802508890629,
    0.013926790095865726,
    0.014492562972009182,
    0.015403212048113346,
    0.016598617658019066,
    0.017426449805498123,
    0.01800883375108242,
    0.01892406865954399,
    0.01828724518418312,
    0.016574637964367867,
    0.015250147320330143,
    0.014043924398720264,
    0.013494041748344898,
    0.013424276374280453,
    0.01375193428248167,
    0.013886978849768639,
    0.014810588210821152,
    0.014910131692886353,
    0.015785567462444305,
    0.017143037170171738,
    0.018081752583384514,
    0.019526422023773193,
    0.018646299839019775,
    0.018982933834195137,
    0.01761099509894848,
    0.01616494171321392,
    0.014981807209551334,
    0.014216643758118153,
    0.013677218928933144,
    0.013475684449076653,
    0.013479430228471756,
    0.013374595902860165,
    0.013829152099788189,
    0.01409406028687954,
    0.014480126090347767,
    0.014293833635747433,
    0.013809475116431713,
    0.013710636645555496,
    0.013096077367663383,
    0.012537190690636635,
    0.012505111284554005,
    0.01225720439106226,
    0.012909185141324997,
    0.014081642962992191,
    0.01704992726445198,
    0.020067619159817696,
    0.02029283158481121,
    0.022487184032797813,
    0.024854004383087158,
    0.0249025896191597,
    0.02288019098341465,
    0.019662728533148766,
    0.020506275817751884,
    0.025112034752964973,
    0.028328226879239082,
    0.030420277267694473,
    0.030196834355592728,
    0.028307462111115456,
    0.026953738182783127,
    0.024039560928940773,
    0.02252059616148472,
    0.018397556617856026,
    0.015872428193688393,
    0.014264999888837337,
    0.013681497424840927,
    0.013584570959210396,
    0.014161410741508007,
    0.014285566285252571,
    0.014403324574232101,
    0.015311961993575096,
    0.015681222081184387,
    0.0161269698292017,
    0.015910975635051727,
    0.016704773530364037,
    0.01609237678349018,
    0.015120954252779484,
    0.015002898871898651,
    0.014345678500831127,
    0.013723946176469326,
    0.01306917890906334,
    0.012770027853548527,
    0.01263281051069498,
    0.012882950715720654,
    0.014095047488808632,
    0.01518036425113678,
    0.016448182985186577,
    0.01884264312684536,
    0.022317465394735336,
    0.02535214088857174,
    0.02751348167657852,
    0.030703596770763397,
    0.0324983224272728,
    0.03324670344591141,
    0.03146183490753174,
    0.02798784151673317,
    0.02444685809314251,
    0.020879587158560753,
    0.01824256218969822,
    0.01655256375670433,
    0.01565817929804325,
    0.014976685866713524,
    0.014621729031205177,
    0.0149750467389822,
    0.015878060832619667,
    0.01686020940542221,
    0.017598047852516174,
    0.019220128655433655,
    0.0211911853402853,
    0.022683603689074516,
    0.02190551348030567,
    0.021503284573554993,
    0.021061407402157784,
    0.02030756324529648,
    0.018466468900442123,
    0.016915760934352875,
    0.016235092654824257,
    0.015528596006333828,
    0.014842277392745018,
    0.014742230996489525,
    0.01548091322183609,
    0.016322685405611992,
    0.017686929553747177,
    0.020459549501538277,
    0.02288387343287468,
    0.025376824662089348,
    0.025402864441275597,
    0.026281610131263733,
    0.026559732854366302,
    0.02565552294254303,
    0.022794099524617195,
    0.02052529715001583,
    0.01900015026330948,
    0.018259869888424873,
    0.018248839303851128,
    0.018896503373980522,
    0.020218560472130775,
    0.021308785304427147,
    0.0215250663459301,
    0.02633516490459442,
    0.030457329005002975,
    0.03515641763806343,
    0.03505204990506172,
    0.03667398914694786,
    0.036530476063489914,
    0.03267922252416611,
    0.028620949015021324,
    0.02562813274562359,
    0.022716181352734566,
    0.020987899973988533,
    0.020312678068876266,
    0.020976752042770386,
    0.022484075278043747,
    0.023181915283203125,
    0.025052078068256378,
    0.026780497282743454,
    0.028613174334168434,
    0.03015809878706932,
    0.0288679376244545,
    0.028141241520643234,
    0.026686998084187508,
    0.025013215839862823,
    0.02337709441781044,
    0.023884139955043793,
    0.024250686168670654,
    0.026265572756528854,
    0.026704592630267143,
    0.025987273082137108,
    0.024665802717208862,
    0.02375340461730957,
    0.02265603095293045,
    0.020674150437116623,
    0.019384687766432762,
    0.01882052980363369,
    0.01973491907119751,
    0.02051524817943573,
    0.021337052807211876,
    0.022908853366971016,
    0.023269930854439735,
    0.02417265623807907,
    0.02283433824777603,
    0.022034259513020515,
    0.022361069917678833,
    0.021330390125513077,
    0.019734015688300133,
    0.018664326518774033,
    0.018287450075149536,
    0.01842452958226204,
    0.01871403492987156,
    0.020713722333312035,
    0.02257273532450199,
    0.02376454696059227,
    0.02510053850710392,
    0.027421027421951294,
    0.02783135697245598,
    0.027416544035077095,
    0.02640567161142826,
    0.025140732526779175,
    0.022710183635354042,
    0.021450253203511238,
    0.020550552755594254,
    0.01959623582661152,
    0.01856248453259468,
    0.017619792371988297,
    0.017367467284202576,
    0.016571490094065666,
    0.016516508534550667,
    0.017219925299286842,
    0.01811882108449936,
    0.01935543306171894,
    0.02036754973232746,
    0.02201785333454609,
    0.025156104937195778,
    0.026979073882102966,
    0.026726027950644493,
    0.026152245700359344,
    0.02537822723388672,
    0.024767953902482986,
    0.0225780438631773,
    0.021473411470651627,
    0.020964814350008965,
    0.021412882953882217,
    0.021639226004481316,
    0.02205038070678711,
    0.021794551983475685,
    0.022178761661052704,
    0.026181677356362343,
    0.02813359536230564,
    0.03186389431357384,
    0.03478838503360748,
    0.03554679453372955,
    0.0377630852162838,
    0.03603878244757652,
    0.03252287954092026,
    0.0279641505330801,
    0.024413418024778366,
    0.021618030965328217,
    0.019792230799794197,
    0.01907380111515522,
    0.018927371129393578,
    0.01897701993584633,
    0.019633034244179726,
    0.019495872780680656,
    0.02120770514011383,
    0.022957051172852516,
    0.024821797385811806,
    0.02525298111140728,
    0.024445993825793266,
    0.026389770209789276,
    0.027781322598457336,
    0.027656149119138718,
    0.02838878519833088,
    0.029511574655771255,
    0.02877434343099594,
    0.02885928377509117,
    0.027752777561545372,
    0.027881454676389694,
    0.024966184049844742,
    0.026180600747466087,
    0.029406215995550156,
    0.03474787250161171,
    0.03989066183567047,
    0.043971408158540726,
    0.04673384502530098,
    0.046049222350120544,
    0.046641845256090164,
    0.04097354784607887,
    0.03576893359422684,
    0.03000318817794323,
    0.028262721374630928,
    0.027403056621551514,
    0.029732687398791313,
    0.030642762780189514,
    0.032022491097450256,
    0.0323668010532856,
    0.03351631388068199,
    0.031462546437978745,
    0.030314307659864426,
    0.028568323701620102,
    0.0266908947378397,
    0.02704145386815071,
    0.0280939731746912,
    0.03011508285999298,
    0.03188209608197212,
    0.03464299067854881,
    0.037940863519907,
    0.03721288964152336,
    0.036250337958335876,
    0.03610062226653099,
    0.03193972259759903,
    0.028142493218183517,
    0.025183500722050667,
    0.022737758234143257,
    0.020545536652207375,
    0.01980689726769924,
    0.019871750846505165,
    0.020927203819155693,
    0.021101830527186394,
    0.02204112336039543,
    0.02244492992758751,
    0.02379036322236061,
    0.025063959881663322,
    0.024636931717395782,
    0.024779342114925385,
    0.02408088557422161,
    0.022784771397709846,
    0.02132553420960903,
    0.019687533378601074,
    0.018371034413576126,
    0.017644265666604042,
    0.017481427639722824,
    0.01728115975856781,
    0.01749790459871292,
    0.017797604203224182,
    0.01850641518831253,
    0.01921524852514267,
    0.021127311512827873,
    0.02339203655719757,
    0.02478863298892975,
    0.026511788368225098,
    0.027494575828313828,
    0.02700926922261715,
    0.02579655684530735,
    0.023877868428826332,
    0.02284659631550312,
    0.021904803812503815,
    0.021210340782999992,
    0.021633733063936234,
    0.021033765748143196,
    0.020588958635926247,
    0.02076130360364914,
    0.021042555570602417,
    0.023721924051642418,
    0.027026141062378883,
    0.031544484198093414,
    0.03580206260085106,
    0.04058863967657089,
    0.04643635079264641,
    0.05044756829738617,
    0.05403522774577141,
    0.052271518856287,
    0.049248553812503815,
    0.04688245430588722,
    0.04608970880508423,
    0.04183205962181091,
    0.03829023241996765,
    0.03434725105762482,
    0.03258915990591049,
    0.03321767970919609,
    0.035661712288856506,
    0.03901783376932144,
    0.04383324459195137,
    0.04577532410621643,
    0.047099847346544266,
    0.047954827547073364,
    0.04904581606388092,
    0.04329309239983559,
    0.038123585283756256,
    0.03298724815249443,
    0.029858501628041267,
    0.028262129053473473,
    0.028361884877085686,
    0.0281841941177845,
    0.02703683264553547,
    0.026367101818323135,
    0.02686622552573681,
    0.02925723046064377,
    0.03135722503066063,
    0.03389819711446762,
    0.035474956035614014,
    0.03561536967754364,
    0.03671620413661003,
    0.03835256025195122,
    0.03871460258960724,
    0.03847934305667877,
    0.038928739726543427,
    0.037105951458215714,
    0.03386383503675461,
    0.032356444746255875,
    0.0312606506049633,
    0.030779000371694565,
    0.030750764533877373,
    0.03283325955271721,
    0.03648637235164642,
    0.04105589911341667,
    0.04721306264400482,
    0.05327767878770828,
    0.06057025492191315,
    0.06474601477384567,
    0.07179711014032364,
    0.07871970534324646,
    0.08453794568777084,
    0.09016085416078568,
    0.09664503484964371,
    0.10353196412324905,
    0.10880618542432785,
    0.11085491627454758,
    0.11033713817596436,
    0.10983526706695557,
    0.10787983238697052,
    0.10848885029554367,
    0.10861257463693619,
    0.10563135892152786,
    0.10036080330610275,
    0.09474048018455505,
    0.08725371211767197,
    0.07714318484067917,
    0.0697971060872078,
    0.06373254954814911,
    0.05510594695806503,
    0.04668324813246727,
    0.04200306907296181,
    0.03978594020009041,
    0.037323907017707825,
    0.03727584332227707,
    0.043814193457365036,
    0.04898344352841377,
    0.0555344820022583,
    0.05651198327541351,
    0.06706065684556961,
    0.07494273036718369,
    0.08257023245096207,
    0.08104799687862396,
    0.07497555017471313,
    0.06731105595827103,
    0.059800632297992706,
    0.054530832916498184,
    0.04639675095677376,
    0.038755618035793304,
    0.03502681478857994,
    0.03394187241792679,
    0.03408103436231613,
    0.033368248492479324,
    0.03441808745265007,
    0.03260426968336105,
    0.03295420482754707,
    0.03345227986574173,
    0.032182980328798294,
    0.03278816118836403,
    0.03381119668483734,
    0.03519585728645325,
    0.03536340594291687,
    0.03445820510387421,
    0.03205949440598488,
    0.030553605407476425,
    0.029088716953992844,
    0.029304370284080505,
    0.030773287639021873,
    0.034251388162374496,
    0.03552641347050667,
    0.036649368703365326,
    0.036415696144104004,
    0.03526417165994644,
    0.03444827347993851,
    0.03397294506430626,
    0.03345370292663574,
    0.03223397955298424,
    0.0311452466994524,
    0.030575158074498177,
    0.030116107314825058,
    0.030325185507535934,
    0.030925622209906578,
    0.03138001635670662,
    0.03182736039161682,
    0.032773081213235855,
    0.03373407572507858,
    0.03525259718298912,
    0.03720814734697342,
    0.040380191057920456,
    0.04512111470103264,
    0.05005180463194847,
    0.056416742503643036,
    0.06050834059715271,
    0.06686944514513016,
    0.07815931737422943,
    0.0915406346321106,
    0.10814633965492249,
    0.11844502389431,
    0.1353123039007187,
    0.13473622500896454,
    0.1522609293460846,
    0.16391025483608246,
    0.17719250917434692,
    0.1828143298625946,
    0.18121041357517242,
    0.17787079513072968,
    0.18551722168922424,
    0.19391559064388275,
    0.20259366929531097,
    0.20580531656742096,
    0.21013063192367554,
    0.20806588232517242,
    0.2259616106748581,
    0.24601061642169952,
    0.24168305099010468,
    0.250985324382782,
    0.2895955443382263,
    0.30271264910697937,
    0.28125372529029846,
    0.2710171043872833,
    0.2518060505390167,
    0.25357434153556824,
    0.2605625092983246,
    0.26590415835380554,
    0.25831368565559387,
    0.2500301003456116,
    0.24864904582500458,
    0.24684494733810425,
    0.2441539466381073,
    0.24384576082229614,
    0.24181556701660156,
    0.24145501852035522,
    0.24013929069042206,
    0.23851421475410461,
    0.24244822561740875,
    0.24881409108638763,
    0.25934845209121704,
    0.26732346415519714,
    0.26952287554740906,
    0.2735746204853058,
    0.27233266830444336,
    0.2707555890083313,
    0.267162948846817,
    0.26949259638786316,
    0.2667504847049713,
    0.26458388566970825,
    0.260663777589798,
    0.2570483386516571,
    0.25410985946655273,
    0.25232231616973877,
    0.25036633014678955,
    0.24773390591144562,
    0.24521319568157196,
    0.24273300170898438,
    0.23963616788387299,
    0.23780226707458496,
    0.236448273062706,
    0.2326652556657791,
    0.22950387001037598,
    0.2233271449804306,
    0.21913765370845795,
    0.21512407064437866,
    0.21163195371627808,
    0.20740224421024323,
    0.2051776498556137,
    0.20026294887065887,
    0.19367514550685883,
    0.1868816465139389,
    0.17313572764396667,
    0.15940174460411072,
    0.15605607628822327,
    0.15341156721115112,
    0.13999472558498383,
    0.1319623738527298,
    0.13576489686965942,
    0.1311921924352646,
    0.1298830211162567,
    0.12646394968032837,
    0.13090328872203827,
    0.14779286086559296,
    0.1613059788942337,
    0.17179566621780396,
    0.16425374150276184,
    0.18149180710315704,
    0.18176276981830597,
    0.18715150654315948,
    0.18313363194465637,
    0.157660573720932,
    0.14482133090496063,
    0.12834639847278595,
    0.11556289345026016,
    0.11107980459928513,
    0.13197208940982819,
    0.1682937890291214,
    0.20977410674095154,
    0.23840586841106415,
    0.24732960760593414,
    0.24643626809120178,
    0.242984801530838,
    0.23411835730075836,
    0.23397374153137207,
    0.23453983664512634,
    0.23099827766418457,
    0.22703762352466583,
    0.2231540083885193,
    0.22185511887073517,
    0.22101764380931854,
    0.21661297976970673,
    0.21274197101593018,
    0.211021289229393,
    0.20888787508010864,
    0.20418275892734528,
    0.2020706981420517,
    0.19927096366882324,
    0.1960732787847519,
    0.19272570312023163,
    0.18967269361019135,
    0.18864120543003082,
    0.1841159462928772,
    0.17742963135242462,
    0.173725426197052,
    0.17011503875255585,
    0.16563868522644043,
    0.1578809767961502,
    0.1451074630022049,
    0.13857637345790863,
    0.12973499298095703,
    0.12081476300954819,
    0.11605626344680786,
    0.11913473159074783,
    0.119542196393013,
    0.11779260635375977,
    0.12447457015514374,
    0.1253141164779663,
    0.12317263334989548,
    0.12178999185562134,
    0.1239205151796341,
    0.12824764847755432,
    0.13304436206817627,
    0.13667640089988708,
    0.14223632216453552,
    0.14249269664287567,
    0.14948220551013947,
    0.15062379837036133,
    0.15499137341976166,
    0.15205219388008118,
    0.14493012428283691,
    0.13121752440929413,
    0.11960846930742264,
    0.11332906037569046,
    0.11185607314109802,
    0.11358971893787384,
    0.11661358922719955,
    0.13009867072105408,
    0.1443631500005722,
    0.15741273760795593,
    0.17862804234027863,
    0.1951364278793335,
    0.20636974275112152,
    0.21339428424835205,
    0.2181324064731598,
    0.22337517142295837,
    0.21876178681850433,
    0.2174404263496399,
    0.2105003297328949,
    0.20304013788700104,
    0.1937945932149887,
    0.19378405809402466,
    0.18703429400920868,
    0.17861154675483704,
    0.1648956835269928,
    0.15173116326332092,
    0.13798144459724426,
    0.11750113219022751,
    0.10765310376882553,
    0.09321606904268265,
    0.08361450582742691,
    0.07254777103662491,
    0.06486620008945465,
    0.05903710797429085,
    0.05626450851559639,
    0.05738237500190735,
    0.06140158697962761,
    0.06858781725168228,
    0.07318465411663055,
    0.06961266696453094,
    0.06296918541193008,
    0.0632365494966507,
    0.06536237895488739,
    0.07417046278715134,
    0.07980618625879288,
    0.07823590934276581,
    0.07730227708816528,
    0.07103605568408966,
    0.06922142207622528,
    0.0696529820561409,
    0.0671171173453331,
    0.06161761283874512,
    0.060995154082775116,
    0.0606042817234993,
    0.06982875615358353,
    0.0788562223315239,
    0.08857952803373337,
    0.1013844907283783,
    0.10675466060638428,
    0.10868741571903229,
    0.12100628763437271,
    0.12477520108222961,
    0.1354091763496399,
    0.1463230848312378,
    0.158335879445076,
    0.15987944602966309,
    0.1499226838350296,
    0.1394488364458084,
    0.14110895991325378,
    0.14804495871067047,
    0.175917848944664,
    0.1870480179786682,
    0.18826109170913696,
    0.1971839815378189,
    0.22405271232128143,
    0.24551783502101898,
    0.2568416893482208,
    0.2787471115589142,
    0.27539822459220886,
    0.27643027901649475,
    0.2729348838329315,
    0.27417320013046265,
    0.2647894024848938,
    0.26739534735679626,
    0.2661210894584656,
    0.2620267868041992,
    0.26095831394195557,
    0.2505902945995331,
    0.24203640222549438,
    0.23600658774375916,
    0.23522713780403137,
    0.23601000010967255,
    0.23641498386859894,
    0.24904651939868927,
    0.25296321511268616,
    0.2483099102973938,
    0.23859570920467377,
    0.23320272564888,
    0.24240908026695251,
    0.23485906422138214,
    0.2504354417324066,
    0.2583397328853607,
    0.2717553973197937,
    0.27370259165763855,
    0.2779325246810913,
    0.2796473801136017,
    0.27551159262657166,
    0.2765933871269226,
    0.28478485345840454,
    0.2911750376224518,
    0.308224618434906,
    0.3123761713504791,
    0.31175118684768677,
    0.2948358952999115,
    0.29698559641838074,
    0.3103238344192505,
    0.3173010051250458,
    0.2929685711860657,
    0.29335319995880127,
    0.3041689097881317,
    0.3092390298843384,
    0.303041011095047,
    0.31203484535217285,
    0.3085649013519287,
    0.31336989998817444,
    0.3178507387638092,
    0.31995731592178345,
    0.31995007395744324,
    0.32163897156715393,
    0.31528720259666443,
    0.320920467376709,
    0.324532151222229,
    0.3324044346809387,
    0.33004024624824524,
    0.3323338031768799,
    0.33318838477134705,
    0.3312833607196808,
    0.32572686672210693,
    0.3278864324092865,
    0.3277532458305359,
    0.32560884952545166,
    0.3336654007434845,
    0.34088966250419617,
    0.3382379412651062,
    0.326587051153183,
    0.34062421321868896,
    0.3448183238506317,
    0.3409470021724701,
    0.3249873220920563,
    0.3374922573566437,
    0.3394060730934143,
    0.33526551723480225,
    0.33666157722473145,
    0.3416537344455719,
    0.35198429226875305,
    0.35878363251686096,
    0.3658478260040283,
    0.3554263114929199,
    0.3468913435935974,
    0.35601910948753357,
    0.37026575207710266,
    0.3860609829425812,
    0.39105796813964844,
    0.3912510871887207,
    0.40957552194595337,
    0.42683079838752747,
    0.44379135966300964,
    0.4460963308811188,
    0.46239739656448364,
    0.45993316173553467,
    0.46833184361457825,
    0.47639840841293335,
    0.48765459656715393,
    0.49650630354881287,
    0.5069998502731323,
    0.5120468735694885,
    0.5059309005737305,
    0.49941352009773254,
    0.49244987964630127,
    0.49316567182540894,
    0.4829820394515991,
    0.48684391379356384,
    0.4887653887271881,
    0.460846483707428,
    0.4431045949459076
  ],
  "agmata": [
    0.0,
    0.0,
    1.40328e-07,
    2.495961e-06,
    1.933238e-05,
    4.670353e-05,
    5.416013e-05,
    5.265152e-05,
    3.64311e-05,
    8.959548e-06,
    7.556318e-07,
    1.033625e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.17751e-08,
    6.835498e-07,
    1.326715e-05,
    0.0001054815,
    0.0002217343,
    0.0002485813,
    0.0002393167,
    0.0001504932,
    3.180296e-05,
    2.273308e-06,
    6.346304e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.122477e-09,
    5.40854e-07,
    5.163178e-06,
    1.391391e-05,
    1.905347e-05,
    2.125323e-05,
    1.763156e-05,
    9.259248e-06,
    4.152935e-06,
    1.355547e-06,
    4.537556e-07,
    8.647451e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.403885e-07,
    8.349508e-06,
    8.138835e-05,
    0.0003017659,
    0.0004169334,
    0.0004331219,
    0.0003692595,
    0.0001528063,
    2.829319e-05,
    1.951237e-06,
    1.185505e-08,
    0.0,
    0.0,
    0.0,
    1.074057e-08,
    1.308914e-07,
    5.44849e-07,
    1.24541e-06,
    1.482845e-06,
    1.362694e-06,
    9.487369e-07,
    2.481759e-07,
    0.0,
    0.0,
    2.536304e-07,
    6.501561e-06,
    6.198182e-05,
    0.0003389861,
    0.0008649193,
    0.001299692,
    0.001440526,
    0.001216458,
    0.0006989292,
    0.0002354693,
    2.28248e-05,
    6.959719e-07,
    0.0,
    0.0,
    0.0,
    3.543213e-08,
    3.332958e-06,
    0.0001116386,
    0.001072443,
    0.00289757,
    0.003159048,
    0.003080447,
    0.002237587,
    0.0003123286,
    5.909365e-06,
    0.0,
    0.0,
    3.519784e-08,
    8.701227e-06,
    0.0004395817,
    0.006473196,
    0.0310941,
    0.05322885,
    0.05712866,
    0.05303508,
    0.03137777,
    0.007587573,
    0.0004915203,
    9.100428e-06,
    6.294768e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.691187e-08,
    3.582485e-07,
    1.077538e-06,
    1.582613e-06,
    1.642643e-06,
    1.321307e-06,
    6.020169e-07,
    9.694188e-08,
    0.0,
    0.0,
    9.232511e-09,
    5.200211e-08,
    1.131939e-07,
    1.720607e-07,
    2.262207e-07,
    2.269155e-07,
    1.747421e-07,
    1.158753e-07,
    5.248274e-08,
    9.018392e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    9.96734e-09,
    1.658344e-07,
    1.013203e-06,
    6.28912e-06,
    3.16498e-05,
    0.0001369218,
    0.0003380573,
    0.0004317082,
    0.0004154785,
    0.00031651,
    0.0001127992,
    7.086409e-06,
    3.976761e-08,
    0.0,
    0.0,
    7.622199e-07,
    6.609849e-05,
    0.001557289,
    0.01002175,
    0.01517524,
    0.01558848,
    0.01452045,
    0.006611995,
    0.0006581039,
    1.244075e-05,
    3.484459e-08,
    0.0,
    0.0,
    0.0,
    9.100833e-09,
    2.701201e-06,
    0.0001150531,
    0.002764113,
    0.01778157,
    0.03350155,
    0.03543769,
    0.03365714,
    0.02004801,
    0.002842197,
    8.018088e-05,
    8.564653e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.220593e-07,
    1.001406e-05,
    9.18721e-05,
    0.0003321196,
    0.0006317482,
    0.0006875,
    0.0006199774,
    0.0003919127,
    7.67319e-05,
    3.861081e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.395203e-08,
    1.615497e-07,
    3.276556e-07,
    5.696964e-07,
    9.895896e-07,
    1.991186e-06,
    2.606125e-06,
    2.469306e-06,
    2.01107e-06,
    8.908925e-07,
    1.052221e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.859152e-07,
    9.716852e-06,
    8.433432e-05,
    0.0002110478,
    0.0002721006,
    0.0002755559,
    0.0002068896,
    8.126111e-05,
    1.499698e-05,
    1.68076e-06,
    4.268563e-08,
    0.0,
    0.0,
    0.0,
    3.246032e-06,
    0.0002254734,
    0.002807219,
    0.005271007,
    0.00549618,
    0.005330164,
    0.002924101,
    0.0002973823,
    5.302212e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    5.120262e-08,
    1.490113e-06,
    2.009253e-05,
    0.0001586924,
    0.0005942839,
    0.001289531,
    0.001784582,
    0.00174708,
    0.00136501,
    0.0006758908,
    9.993846e-05,
    5.585709e-06,
    1.420851e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    6.280268e-08,
    1.747182e-07,
    1.869811e-07,
    1.869811e-07,
    1.241784e-07,
    1.226287e-08,
    0.0,
    0.0,
    6.144375e-08,
    3.869189e-07,
    7.473005e-07,
    8.085856e-07,
    7.471419e-07,
    4.216667e-07,
    6.128513e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.173583e-08,
    7.662684e-07,
    1.801852e-05,
    0.0002648545,
    0.001433213,
    0.003588974,
    0.003919967,
    0.003730609,
    0.002662091,
    0.0004132021,
    8.582605e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.211236e-08,
    1.112079e-06,
    4.574226e-05,
    0.001996057,
    0.03703857,
    0.2154849,
    0.3684211,
    0.3862858,
    0.3691151,
    0.2212534,
    0.03239201,
    0.0005595302,
    2.631534e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    5.236987e-07,
    0.0004230909,
    0.05541264,
    1.223717,
    4.048795,
    4.258599,
    4.240932,
    3.464923,
    0.4181252,
    0.002631517,
    4.007446e-06,
    0.0,
    0.0,
    0.0,
    3.503527e-08,
    1.886985e-07,
    2.507424e-07,
    2.507424e-07,
    2.157071e-07,
    6.204389e-08,
    0.0,
    0.0,
    2.359112e-08,
    1.401598e-05,
    0.001379096,
    0.02690143,
    0.0933649,
    0.1264586,
    0.1282551,
    0.1123274,
    0.04936117,
    0.004820359,
    3.839523e-05,
    0.0,
    0.0,
    0.0,
    0.0,
    6.191762e-07,
    9.69087e-05,
    0.003157821,
    0.01409373,
    0.0194693,
    0.0198167,
    0.01746381,
    0.007281785,
    0.0006803236,
    1.764945e-05,
    6.783741e-08,
    0.0,
    6.384729e-09,
    1.845198e-07,
    2.677043e-06,
    8.007513e-06,
    9.249431e-06,
    9.116173e-06,
    6.675728e-06,
    1.329161e-06,
    4.487716e-08,
    5.639456e-09,
    5.569091e-06,
    0.0007210969,
    0.01946402,
    0.1431268,
    0.2759216,
    0.2901683,
    0.2773145,
    0.1712507,
    0.02362403,
    0.001012236,
    1.834476e-05,
    1.617563e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.574355e-07,
    7.840792e-06,
    8.351087e-05,
    0.0003672333,
    0.0004983121,
    0.000500395,
    0.0004346523,
    0.0001519389,
    9.96908e-06,
    7.876186e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.690811e-07,
    1.147873e-05,
    0.0003420346,
    0.002727084,
    0.007843764,
    0.00935211,
    0.009171627,
    0.007151983,
    0.00194558,
    0.0001009675,
    1.909125e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.068194e-07,
    3.985759e-07,
    4.834813e-07,
    4.834813e-07,
    3.76662e-07,
    8.490544e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    3.551707e-08,
    6.50127e-08,
    7.698838e-08,
    7.698838e-08,
    1.933803e-07,
    1.244039e-05,
    0.0006013183,
    0.01879357,
    0.1680613,
    0.345192,
    0.3721428,
    0.3628253,
    0.2536402,
    0.04903034,
    0.001520357,
    5.390886e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    8.87415e-07,
    0.0001008193,
    0.003523243,
    0.03545799,
    0.09907266,
    0.1282856,
    0.1279497,
    0.104143,
    0.04231186,
    0.003749379,
    7.592511e-05,
    1.087296e-06,
    1.547905e-07,
    6.602391e-06,
    0.0001605838,
    0.001900965,
    0.004691552,
    0.005161412,
    0.005060353,
    0.003528234,
    0.0005946985,
    1.816599e-05,
    2.627998e-07,
    1.191127e-06,
    4.5403e-05,
    0.0002447244,
    0.0004793238,
    0.0005651732,
    0.0005389421,
    0.0003493109,
    0.0001146715,
    1.814994e-05,
    1.358179e-06,
    3.929961e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.588215e-07,
    0.000149466,
    0.02998372,
    1.205801,
    4.262332,
    4.329738,
    4.320152,
    3.468069,
    0.1443142,
    0.0004839808,
    4.560468e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    8.355223e-08,
    2.762714e-06,
    4.20341e-05,
    0.0003986115,
    0.001523238,
    0.002182698,
    0.00220702,
    0.001898411,
    0.0008107658,
    7.36577e-05,
    2.368106e-06,
    1.08135e-08,
    0.0,
    0.0,
    0.0,
    5.126735e-09,
    7.129698e-07,
    8.727111e-06,
    5.631262e-05,
    0.0001752627,
    0.0003268943,
    0.0004100185,
    0.0003920312,
    0.0002837475,
    0.0001314511,
    3.532538e-05,
    6.037763e-06,
    6.266662e-07,
    1.117542e-08,
    0.0,
    0.0,
    1.480045e-08,
    1.356903e-06,
    6.404684e-05,
    0.00143451,
    0.0167846,
    0.07862273,
    0.1450224,
    0.1550566,
    0.1454005,
    0.09334654,
    0.01743616,
    0.0006120289,
    4.200089e-06,
    0.0,
    0.0,
    0.0,
    8.181907e-08,
    5.597953e-06,
    0.0001538481,
    0.001582825,
    0.005384437,
    0.007781627,
    0.008223632,
    0.007113473,
    0.003522792,
    0.0009066804,
    0.0001964511,
    2.746572e-05,
    5.370397e-06,
    8.874706e-07,
    1.508125e-07,
    2.313316e-08,
    0.0,
    5.574797e-09,
    1.093095e-07,
    1.016133e-06,
    4.344583e-06,
    8.573547e-06,
    9.573478e-06,
    8.851853e-06,
    5.591372e-06,
    1.304518e-06,
    1.595651e-07,
    0.0,
    2.611002e-07,
    9.385293e-06,
    0.0001396568,
    0.0007032306,
    0.001225314,
    0.001449957,
    0.001368021,
    0.0008516501,
    0.0003171471,
    3.965099e-05,
    1.367256e-06,
    0.0,
    0.0,
    0.0,
    4.156205e-09,
    5.150026e-07,
    1.709066e-05,
    0.0005571,
    0.008724961,
    0.04869468,
    0.09618266,
    0.1016406,
    0.09663312,
    0.06271472,
    0.008835301,
    0.0001220671,
    3.778921e-07,
    0.0,
    5.957585e-08,
    3.352618e-06,
    0.000230617,
    0.0125915,
    0.5073449,
    6.392915,
    20.52135,
    30.35002,
    31.85703,
    30.18634,
    21.98622,
    4.592141,
    0.2093796,
    0.001616102,
    2.828366e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    3.768869e-08,
    1.253181e-07,
    1.701937e-07,
    1.779145e-07,
    1.402258e-07,
    5.259645e-08,
    1.460667e-08,
    6.167938e-08,
    1.992618e-07,
    3.078874e-07,
    3.27565e-07,
    2.727714e-07,
    1.35189e-07,
    2.65634e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    4.841791e-07,
    6.718777e-05,
    0.001481873,
    0.007935633,
    0.01540272,
    0.01592081,
    0.01472388,
    0.00873104,
    0.000806361,
    1.731382e-05,
    1.846991e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    5.875698e-09,
    5.640723e-07,
    1.367147e-05,
    0.0001763352,
    0.00148864,
    0.005202607,
    0.007061762,
    0.007073703,
    0.005924706,
    0.002329678,
    0.0001831911,
    3.862716e-06,
    0.0,
    0.0,
    1.268631e-08,
    2.415006e-07,
    7.919224e-07,
    9.39577e-07,
    9.268907e-07,
    6.980764e-07,
    1.476546e-07,
    0.0,
    0.0,
    1.700145e-08,
    7.022646e-07,
    6.560836e-06,
    2.839554e-05,
    4.502007e-05,
    4.841802e-05,
    4.34183e-05,
    2.241374e-05,
    4.837318e-06,
    4.576584e-07,
    4.769087e-09,
    0.0,
    0.0,
    0.0,
    1.029106e-06,
    7.680621e-05,
    0.001221548,
    0.00391395,
    0.005433249,
    0.00573512,
    0.004794017,
    0.002152696,
    0.0004659127,
    1.993503e-05,
    1.674172e-07,
    0.0,
    0.0,
    1.26034e-08,
    5.56389e-08,
    7.633404e-08,
    8.154688e-08,
    6.894347e-08,
    3.032345e-08,
    3.218462e-08,
    4.404565e-07,
    5.5686e-06,
    8.002648e-05,
    0.001142817,
    0.01050072,
    0.03113397,
    0.03748066,
    0.03718561,
    0.02953371,
    0.008456006,
    0.0006475532,
    1.602613e-05,
    1.685796e-07,
    1.064471e-07,
    5.907433e-07,
    1.581642e-06,
    3.518529e-06,
    9.332807e-06,
    3.384435e-05,
    0.0001817402,
    0.001102593,
    0.003650149,
    0.006220986,
    0.007257585,
    0.006684281,
    0.004364947,
    0.001613792,
    0.0002800256,
    2.324881e-05,
    1.11606e-06,
    5.25552e-08,
    2.101854e-08,
    1.053996e-06,
    4.945501e-05,
    0.001704207,
    0.03513307,
    0.1951632,
    0.3562558,
    0.3827696,
    0.3651788,
    0.2251816,
    0.04270969,
    0.002313782,
    1.782652e-05,
    0.0,
    0.0,
    2.860989e-07,
    2.325454e-05,
    0.0005577089,
    0.004467225,
    0.01618247,
    0.02490623,
    0.02611436,
    0.02313068,
    0.01227866,
    0.002250624,
    9.969725e-05,
    9.476171e-07,
    0.0,
    0.0,
    0.0,
    3.640563e-07,
    5.89189e-06,
    1.479799e-05,
    1.747094e-05,
    1.72893e-05,
    1.19212e-05,
    2.939631e-06,
    1.570583e-07,
    0.0,
    2.023364e-08,
    3.50997e-07,
    1.420409e-06,
    3.105474e-06,
    3.995608e-06,
    3.798826e-06,
    2.744649e-06,
    1.052568e-06,
    1.245783e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    1.058622e-07,
    7.451986e-07,
    1.855386e-06,
    3.984203e-06,
    6.69616e-06,
    1.257665e-05,
    2.063141e-05,
    2.369821e-05,
    2.169317e-05,
    1.52193e-05,
    6.095567e-06,
    7.954375e-07,
    2.441263e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    1.892524e-08,
    3.041219e-07,
    3.268203e-06,
    2.020182e-05,
    0.0001057374,
    0.000511171,
    0.002190573,
    0.006139466,
    0.009744733,
    0.009871053,
    0.008446819,
    0.004463477,
    0.0005292363,
    1.296207e-05,
    9.002008e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.262739e-08,
    2.397267e-06,
    6.492712e-05,
    0.0002682938,
    0.0003122717,
    0.0003113178,
    0.0002521162,
    4.881065e-05,
    1.292843e-06,
    0.0,
    0.0,
    7.042745e-08,
    9.660634e-06,
    0.0003476328,
    0.003751965,
    0.01231272,
    0.02100035,
    0.02287265,
    0.02032917,
    0.01229917,
    0.002970322,
    0.0002519086,
    3.700103e-06,
    0.0,
    0.0,
    0.0,
    1.981692e-07,
    1.105118e-05,
    0.0004675986,
    0.00950357,
    0.09362795,
    0.3272279,
    0.5643455,
    0.6608741,
    0.6247481,
    0.4242947,
    0.1605304,
    0.01559896,
    0.0003389425,
    3.669653e-06,
    1.550259e-05,
    0.0001747399,
    0.0005237156,
    0.0007143377,
    0.0007182749,
    0.0005729708,
    0.0002231629,
    2.002468e-05,
    8.272649e-07,
    2.505018e-06,
    0.0001306216,
    0.002129,
    0.01677923,
    0.05035308,
    0.0625514,
    0.06211754,
    0.04989397,
    0.01700278,
    0.001739123,
    3.837157e-05,
    1.708343e-07,
    0.0,
    0.0,
    3.872407e-08,
    9.167664e-07,
    1.174151e-05,
    9.332815e-05,
    0.0003841589,
    0.0008233319,
    0.0009391866,
    0.0008727796,
    0.0005999304,
    0.0001427951,
    6.793446e-06,
    2.257429e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.372855e-07,
    3.329685e-06,
    7.454081e-05,
    0.001268321,
    0.01167309,
    0.05856876,
    0.1143123,
    0.1262831,
    0.121275,
    0.08054599,
    0.01891202,
    0.001099973,
    3.62355e-05,
    5.762959e-06,
    1.581335e-05,
    6.795955e-05,
    0.0001448967,
    0.0001838866,
    0.0001796769,
    0.000129526,
    5.081332e-05,
    7.899136e-06,
    7.613101e-07,
    5.191094e-07,
    5.313036e-06,
    2.970494e-05,
    8.776452e-05,
    0.0001355332,
    0.0001510779,
    0.000130256,
    7.225834e-05,
    2.343637e-05,
    2.023612e-06,
    6.002997e-08,
    0.0,
    7.394608e-08,
    4.611572e-06,
    0.0001981651,
    0.003556093,
    0.02677168,
    0.06261179,
    0.09276507,
    0.09851911,
    0.08139636,
    0.04580654,
    0.01083215,
    0.001017863,
    2.021757e-05,
    8.789161e-08,
    0.0,
    4.062616e-07,
    8.84943e-05,
    0.002071999,
    0.009597505,
    0.01677777,
    0.01843832,
    0.0172528,
    0.01068085,
    0.002362404,
    0.0001415283,
    3.130488e-06,
    2.453069e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    6.988324e-09,
    2.061686e-06,
    0.0001050011,
    0.0006799743,
    0.001289073,
    0.001395991,
    0.00131523,
    0.0007744237,
    0.0001374338,
    4.285353e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.586327e-07,
    1.690389e-05,
    0.000207844,
    0.0006514649,
    0.000928107,
    0.001011438,
    0.0008544496,
    0.0004275763,
    0.0001245158,
    1.472607e-05,
    9.584271e-07,
    2.312875e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    6.716866e-08,
    2.600583e-06,
    7.532305e-05,
    0.001152138,
    0.005316036,
    0.01385611,
    0.02189342,
    0.02416384,
    0.02092454,
    0.01297702,
    0.004115247,
    0.0003069566,
    7.040478e-06,
    3.783243e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.649294e-08,
    2.893291e-06,
    8.045463e-05,
    0.0005415862,
    0.001029435,
    0.001127706,
    0.001064992,
    0.0006180454,
    0.0001150019,
    3.808574e-06,
    0.0,
    0.0,
    0.0,
    1.32785e-07,
    3.100701e-05,
    0.002841063,
    0.04227742,
    0.1644431,
    0.2450168,
    0.2560722,
    0.2331474,
    0.1225234,
    0.02011428,
    0.0006207048,
    3.556998e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    4.522304e-08,
    4.037418e-06,
    7.752088e-05,
    0.0003420954,
    0.0005801414,
    0.0006740626,
    0.0006238394,
    0.0003719156,
    0.0001243182,
    1.628249e-05,
    1.208153e-06,
    2.234089e-08,
    0.0,
    0.0,
    0.0,
    1.816862e-07,
    4.008516e-06,
    1.947932e-05,
    2.615395e-05,
    2.660816e-05,
    2.295126e-05,
    7.640205e-06,
    6.488366e-07,
    4.321629e-08,
    2.481293e-06,
    3.699153e-05,
    0.0001532029,
    0.0002601308,
    0.0002847488,
    0.0002567321,
    0.0001479841,
    3.438794e-05,
    3.249806e-06,
    5.513192e-08,
    0.0,
    0.0,
    0.0,
    1.228878e-08,
    2.614143e-06,
    0.0002233421,
    0.007900876,
    0.1318935,
    0.6756897,
    0.9821699,
    0.9972246,
    0.9266583,
    0.4241082,
    0.04704959,
    0.0008421683,
    6.520655e-06,
    3.419639e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    1.770075e-07,
    1.776539e-05,
    0.001575754,
    0.06735501,
    0.6760854,
    2.939599,
    5.968868,
    6.899538,
    6.793904,
    5.387277,
    1.583222,
    0.07621064,
    0.0009313657,
    3.421498e-06,
    0.0,
    0.0,
    4.862597e-07,
    2.924326e-05,
    0.000290628,
    0.0007964459,
    0.001022068,
    0.001023356,
    0.0007832892,
    0.0002787646,
    3.081327e-05,
    8.525721e-07,
    0.0,
    1.190859e-07,
    7.457461e-06,
    0.0001497706,
    0.0008992611,
    0.002213041,
    0.002884683,
    0.002849973,
    0.002169058,
    0.0008444893,
    8.861942e-05,
    2.992322e-06,
    6.367052e-08,
    0.0,
    3.623845e-07,
    3.307297e-05,
    0.001127337,
    0.01086713,
    0.02721584,
    0.03542704,
    0.0357027,
    0.02786244,
    0.01159223,
    0.001415799,
    6.927384e-05,
    5.314298e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    1.074055e-05,
    0.003004723,
    0.217582,
    2.113644,
    6.78286,
    7.924625,
    7.875583,
    6.640567,
    1.812155,
    0.05950119,
    0.0003552325,
    5.678851e-07,
    0.0,
    8.035991e-08,
    1.870059e-06,
    1.073022e-05,
    1.887019e-05,
    1.941152e-05,
    1.768135e-05,
    8.90382e-06,
    6.412521e-07,
    0.0,
    0.0,
    4.463433e-08,
    5.428931e-07,
    2.134364e-06,
    3.976002e-06,
    4.896357e-06,
    4.865912e-06,
    3.419714e-06,
    1.601049e-06,
    6.049802e-07,
    1.385239e-07,
    2.158682e-08,
    0.0,
    0.0,
    0.0,
    1.399291e-07,
    6.735174e-06,
    8.988652e-05,
    0.0003146932,
    0.0004365802,
    0.0004390704,
    0.0003614018,
    0.0001401208,
    9.817477e-06,
    1.370756e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.606398e-07,
    9.421306e-06,
    9.95978e-05,
    0.0003763723,
    0.0006147246,
    0.0006582261,
    0.0005819468,
    0.0003154979,
    6.373655e-05,
    6.311884e-06,
    3.532802e-07,
    9.845849e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.949465e-07,
    9.596992e-06,
    0.0002035609,
    0.002008118,
    0.006288526,
    0.009707023,
    0.01033332,
    0.008954772,
    0.004811679,
    0.001050282,
    8.38173e-05,
    3.52767e-06,
    1.602235e-07,
    1.149902e-08,
    0.0,
    1.220445e-08,
    2.114296e-07,
    3.099297e-06,
    3.584246e-05,
    0.0002090043,
    0.0004641404,
    0.0006132044,
    0.0006110975,
    0.0004508858,
    0.0001942966,
    3.278152e-05,
    2.211339e-06,
    3.431964e-08,
    0.0,
    9.1374e-08,
    3.541649e-06,
    6.376541e-05,
    0.0006884023,
    0.003195306,
    0.0113396,
    0.02001168,
    0.023988,
    0.02265685,
    0.01505586,
    0.005979639,
    0.0008687839,
    3.014343e-05,
    2.027517e-07,
    0.0,
    0.0,
    7.461669e-07,
    1.049326e-05,
    2.276232e-05,
    2.48266e-05,
    2.420017e-05,
    1.473425e-05,
    2.247488e-06,
    7.338058e-08,
    0.0,
    1.07081e-08,
    7.741504e-07,
    1.785742e-05,
    0.0001424115,
    0.0002771093,
    0.0003043331,
    0.000290364,
    0.0001689928,
    3.144425e-05,
    1.570547e-06,
    1.06398e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.087919e-08,
    1.637279e-06,
    6.420648e-05,
    0.0004061437,
    0.0005579875,
    0.0005659209,
    0.0005087768,
    0.0001706144,
    1.069694e-05,
    1.193915e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    3.732801e-08,
    1.836877e-06,
    2.497146e-05,
    0.0001771676,
    0.0005749363,
    0.001078103,
    0.00126114,
    0.001180358,
    0.0008163665,
    0.0002976223,
    7.213015e-05,
    8.286889e-06,
    2.26639e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.299941e-08,
    3.630936e-07,
    1.300396e-06,
    1.599715e-06,
    1.576715e-06,
    1.236621e-06,
    2.993182e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.99962e-08,
    1.907367e-06,
    3.038847e-05,
    0.0001054044,
    0.0001469404,
    0.0001524345,
    0.0001259736,
    5.14138e-05,
    8.17785e-06,
    4.451277e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.988725e-07,
    9.798222e-06,
    8.615988e-05,
    0.0002028212,
    0.0002353297,
    0.0002291944,
    0.0001551613,
    3.754624e-05,
    2.655693e-06,
    1.47931e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    2.398356e-08,
    4.15378e-08,
    4.15378e-08,
    4.15378e-08,
    1.755424e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.062092e-08,
    6.859557e-07,
    1.473716e-05,
    0.0001494075,
    0.000320315,
    0.0003555809,
    0.0003446608,
    0.0002151315,
    4.041305e-05,
    1.549178e-06,
    4.190685e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.876321e-09,
    5.428533e-08,
    2.291883e-07,
    7.540578e-07,
    4.113544e-06,
    2.995983e-05,
    0.0002117485,
    0.0009803743,
    0.001342388,
    0.001336778,
    0.001175072,
    0.0004101372,
    1.691295e-05,
    2.839699e-08,
    0.0,
    0.0,
    0.0,
    9.850715e-09,
    8.209117e-08,
    1.629931e-07,
    2.063156e-07,
    2.356172e-07,
    2.397935e-07,
    4.634239e-07,
    1.660338e-06,
    3.608193e-06,
    4.514409e-06,
    4.275994e-06,
    3.054094e-06,
    1.055732e-06,
    6.61177e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.603828e-07,
    5.097517e-05,
    0.001497734,
    0.009954767,
    0.01490135,
    0.01508012,
    0.01395562,
    0.005661598,
    0.0002761961,
    9.688303e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    8.463339e-07,
    2.28796e-05,
    0.0002167126,
    0.0007788693,
    0.001643419,
    0.002104647,
    0.001991619,
    0.00146406,
    0.0005916683,
    7.597384e-05,
    1.844431e-06,
    0.0,
    0.0,
    1.373047e-08,
    1.433683e-06,
    1.381778e-05,
    3.629011e-05,
    4.50861e-05,
    4.460055e-05,
    3.265138e-05,
    1.00778e-05,
    8.906178e-07,
    4.060176e-08,
    3.657499e-06,
    0.0001099537,
    0.0008497438,
    0.001662253,
    0.001753765,
    0.001666325,
    0.0009613889,
    0.0001138509,
    2.920673e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    2.442907e-07,
    2.577407e-05,
    0.001738305,
    0.03934525,
    0.3779563,
    0.9000213,
    0.9779665,
    0.9594111,
    0.7096715,
    0.1377641,
    0.00537977,
    3.528376e-05,
    1.971319e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    7.069457e-07,
    3.129646e-05,
    0.0006645901,
    0.006746367,
    0.02747358,
    0.05689835,
    0.06850938,
    0.06661733,
    0.04948927,
    0.01950389,
    0.003776246,
    0.0002345252,
    5.711367e-06,
    5.871436e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.216999e-08,
    9.800851e-07,
    3.126105e-05,
    0.000763515,
    0.007322318,
    0.02298096,
    0.02796485,
    0.02762416,
    0.02171307,
    0.005974346,
    0.0002700596,
    1.991901e-06,
    0.0,
    0.0,
    1.071444e-08,
    8.796958e-06,
    0.0005473853,
    0.006675848,
    0.0190659,
    0.02533898,
    0.02538755,
    0.0200988,
    0.007733442,
    0.0006405434,
    1.754411e-05,
    7.950619e-08,
    0.0,
    0.0,
    2.491564e-08,
    6.412417e-07,
    6.164468e-06,
    6.723195e-05,
    0.0004484671,
    0.0012755,
    0.002015441,
    0.002305716,
    0.002075862,
    0.001331314,
    0.0005809345,
    0.0001864797,
    4.890158e-05,
    1.475217e-05,
    9.780738e-06,
    9.511552e-06,
    8.489581e-06,
    6.256421e-06,
    2.59204e-06,
    2.341154e-07,
    0.0,
    0.0,
    9.048081e-06,
    0.001012833,
    0.008931127,
    0.01710221,
    0.01861853,
    0.01797668,
    0.01091298,
    0.002241236,
    0.0001607471,
    5.472953e-06,
    1.431294e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    2.333486e-07,
    7.772508e-06,
    0.0001193624,
    0.0007231029,
    0.001840576,
    0.002209671,
    0.0021507,
    0.001598132,
    0.0004539613,
    4.096735e-05,
    7.356891e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    6.259801e-07,
    5.221807e-05,
    0.001559477,
    0.01920858,
    0.08677102,
    0.1766141,
    0.2336462,
    0.2349092,
    0.1885007,
    0.09998598,
    0.02006436,
    0.00121089,
    1.566692e-05,
    1.96918e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    1.29837e-08,
    6.90172e-08,
    2.750434e-07,
    1.07217e-06,
    4.284315e-06,
    2.152771e-05,
    7.552299e-05,
    0.000170748,
    0.0001943516,
    0.0001803282,
    0.0001286852,
    3.072831e-05,
    2.167739e-06,
    9.739017e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    6.740664e-07,
    1.206131e-05,
    7.410955e-05,
    0.0001349572,
    0.0001462714,
    0.0001364117,
    7.618687e-05,
    1.379639e-05,
    8.342638e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.023614e-07,
    3.165646e-05,
    0.0007454291,
    0.004831875,
    0.0113555,
    0.01323916,
    0.01272454,
    0.00894347,
    0.002330422,
    4.969359e-05,
    5.671502e-08,
    0.0,
    0.0,
    3.277818e-07,
    0.0001123783,
    0.001872038,
    0.003331839,
    0.00348886,
    0.003406445,
    0.001743821,
    0.000201381,
    1.198824e-05,
    1.569678e-07,
    0.0,
    0.0,
    0.0,
    2.534195e-08,
    5.939484e-08,
    6.946325e-08,
    6.946325e-08,
    4.41213e-08,
    1.006841e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    9.653476e-09,
    9.545578e-08,
    7.535389e-07,
    4.702907e-06,
    1.671093e-05,
    2.797114e-05,
    2.856223e-05,
    2.475059e-05,
    1.290302e-05,
    1.24087e-06,
    1.107182e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.373794e-08,
    2.433349e-07,
    2.400467e-06,
    1.587249e-05,
    0.0001014572,
    0.0005117071,
    0.001815679,
    0.003681028,
    0.004566244,
    0.004394465,
    0.003217114,
    0.001311808,
    0.0002121277,
    1.025585e-05,
    1.527128e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    1.335821e-08,
    6.50291e-08,
    1.727271e-07,
    3.50867e-07,
    6.208586e-07,
    1.095726e-06,
    2.433354e-06,
    5.808854e-06,
    9.290484e-06,
    1.086058e-05,
    9.621867e-06,
    6.103912e-06,
    2.297448e-06,
    1.600124e-07,
    0.0,
    0.0,
    0.0,
    3.291767e-07,
    1.512974e-05,
    0.0001903493,
    0.0009958371,
    0.0019692,
    0.002354329,
    0.002257295,
    0.001498754,
    0.0005016411,
    6.11969e-05,
    2.532201e-06,
    1.040521e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    1.759977e-07,
    3.626094e-05,
    0.00227653,
    0.02691043,
    0.062726,
    0.06949628,
    0.0685654,
    0.04737264,
    0.009332109,
    0.000636369,
    1.111832e-05,
    7.781723e-08,
    1.252725e-07,
    5.730795e-06,
    8.069188e-05,
    0.0002373639,
    0.0002902993,
    0.0002886215,
    0.0002181546,
    6.06109e-05,
    3.652486e-06,
    2.918089e-08,
    0.0,
    4.612195e-09,
    2.79678e-07,
    2.59935e-06,
    1.053087e-05,
    1.643783e-05,
    1.736614e-05,
    1.516099e-05,
    7.290915e-06,
    1.243959e-06,
    2.06741e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    7.639496e-08,
    1.145508e-06,
    1.556138e-05,
    0.000117742,
    0.0004642619,
    0.000742485,
    0.0007710142,
    0.0006819504,
    0.0003401129,
    4.733906e-05,
    1.441061e-06,
    8.773531e-09,
    0.0,
    0.0,
    9.573266e-09,
    3.442805e-08,
    1.91031e-07,
    1.634169e-06,
    1.836527e-05,
    0.0002547008,
    0.002687833,
    0.01704335,
    0.07273388,
    0.1616823,
    0.2124985,
    0.2172954,
    0.1792717,
    0.09237959,
    0.02383314,
    0.00230238,
    0.000115092,
    3.718728e-06,
    4.034134e-08,
    0.0,
    3.133259e-08,
    1.054233e-07,
    1.833011e-07,
    2.814586e-07,
    5.201554e-07,
    1.055324e-06,
    3.414099e-06,
    1.387488e-05,
    5.284366e-05,
    9.270017e-05,
    0.0001027986,
    9.391344e-05,
    5.59546e-05,
    1.440957e-05,
    7.987431e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.307629e-08,
    1.535881e-07,
    1.071244e-06,
    3.785203e-06,
    6.099422e-06,
    6.72512e-06,
    5.880458e-06,
    3.174246e-06,
    8.102238e-07,
    4.505262e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    9.205307e-08,
    9.43131e-06,
    0.0004008486,
    0.005844099,
    0.01965839,
    0.02508714,
    0.02552722,
    0.0207,
    0.007080682,
    0.001116562,
    6.982599e-05,
    1.359793e-06,
    4.332942e-09,
    0.0,
    1.286202e-08,
    3.843064e-07,
    1.679966e-06,
    3.300291e-06,
    4.493595e-06,
    4.95284e-06,
    4.92112e-06,
    6.689838e-06,
    1.601729e-05,
    6.025439e-05,
    0.0001308951,
    0.0001941301,
    0.0002207298,
    0.0001895489,
    0.0001243183,
    5.939878e-05,
    2.343191e-05,
    1.273888e-05,
    6.848558e-06,
    3.666689e-06,
    1.67941e-06,
    3.086632e-07,
    1.422259e-08,
    3.319989e-06,
    0.0004998382,
    0.05323287,
    1.282014,
    4.713834,
    5.13612,
    5.122642,
    4.401452,
    0.7802284,
    0.01068317,
    3.986312e-05,
    1.915076e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    4.192989e-09,
    4.473512e-06,
    0.0006549033,
    0.03811994,
    0.5641798,
    1.5955,
    1.891257,
    1.887612,
    1.536456,
    0.5226317,
    0.02944475,
    0.000582173,
    6.208766e-06,
    5.107019e-08,
    0.0,
    0.0,
    1.148793e-08,
    3.74309e-08,
    4.82259e-08,
    4.82259e-08,
    3.673797e-08,
    1.0795e-08,
    0.0,
    0.0,
    4.637824e-08,
    9.221094e-07,
    6.588477e-06,
    1.634533e-05,
    2.197247e-05,
    2.186714e-05,
    1.634542e-05,
    6.609555e-06,
    8.213804e-07,
    2.417155e-08,
    0.0,
    0.0,
    8.141628e-08,
    5.393101e-06,
    0.0001015665,
    0.0004826938,
    0.001092998,
    0.001477855,
    0.001625284,
    0.001411448,
    0.0008626387,
    0.0004498343,
    0.0001914253,
    4.657505e-05,
    7.38323e-06,
    6.165253e-07,
    1.857446e-07,
    1.975923e-05,
    0.001682217,
    0.04009912,
    0.2341055,
    0.5208434,
    0.622051,
    0.6119575,
    0.4731003,
    0.157163,
    0.0154304,
    0.0004275043,
    3.53399e-06,
    1.136396e-08,
    2.604842e-06,
    7.721679e-05,
    0.0003479129,
    0.0005831495,
    0.0006225335,
    0.0005604469,
    0.000298179,
    5.065379e-05,
    3.599823e-06,
    1.157818e-06,
    4.076006e-05,
    0.0002580928,
    0.0005601947,
    0.0006168014,
    0.000586159,
    0.0003808171,
    7.47714e-05,
    7.018573e-06,
    6.485046e-07,
    7.0242e-08,
    1.047086e-08,
    1.090375e-08,
    7.095673e-08,
    1.882392e-07,
    2.701777e-07,
    3.675566e-07,
    7.089581e-07,
    4.399754e-06,
    4.445554e-05,
    0.0001695839,
    0.0002224862,
    0.0002221519,
    0.0001843839,
    5.939955e-05,
    3.305789e-06,
    1.160025e-08,
    0.0,
    0.0,
    3.619578e-08,
    1.445686e-06,
    2.510556e-05,
    0.0002756746,
    0.001675588,
    0.003748786,
    0.004829204,
    0.004855814,
    0.003633089,
    0.001527018,
    0.0002943768,
    1.85928e-05,
    5.632963e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.309431e-08,
    7.520581e-08,
    1.949387e-07,
    4.896899e-07,
    1.248013e-06,
    4.709838e-06,
    1.903679e-05,
    4.679514e-05,
    6.165356e-05,
    6.013171e-05,
    4.631213e-05,
    1.80105e-05,
    1.936176e-06,
    3.34102e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    9.655897e-08,
    2.346675e-06,
    1.325343e-05,
    2.812355e-05,
    3.110164e-05,
    2.907696e-05,
    1.840409e-05,
    3.246926e-06,
    7.242113e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.006002e-08,
    2.450204e-06,
    6.377177e-05,
    0.0004671418,
    0.001144827,
    0.001331125,
    0.00130052,
    0.0009348239,
    0.0002322725,
    2.432352e-05,
    1.090633e-06,
    1.180533e-08,
    0.0,
    0.0,
    4.189482e-07,
    4.196562e-05,
    0.0005228735,
    0.00118033,
    0.00130988,
    0.001281202,
    0.0008288012,
    0.0001557742,
    8.767222e-06,
    3.011975e-07,
    2.460687e-07,
    8.860578e-06,
    0.0001012558,
    0.000474669,
    0.00103016,
    0.001286508,
    0.001257416,
    0.0009254405,
    0.0003568928,
    5.845027e-05,
    2.790398e-06,
    7.228086e-08,
    4.31419e-08,
    5.723562e-07,
    2.522189e-06,
    1.189598e-05,
    0.0001054168,
    0.001026646,
    0.007683438,
    0.01814684,
    0.02004532,
    0.01937481,
    0.01321512,
    0.002353895,
    5.251069e-05,
    1.901761e-07,
    0.0,
    0.0,
    5.232007e-09,
    4.184489e-08,
    8.461801e-08,
    1.421879e-07,
    2.284644e-07,
    5.194401e-07,
    2.872521e-06,
    4.977868e-05,
    0.001044603,
    0.01545545,
    0.1024431,
    0.2103037,
    0.2237132,
    0.2153404,
    0.1378916,
    0.02051161,
    0.0004529166,
    2.938382e-06,
    0.0,
    0.0,
    0.0,
    3.797844e-08,
    1.507741e-07,
    4.310275e-07,
    1.12507e-06,
    2.700159e-06,
    6.07595e-06,
    1.164479e-05,
    1.445885e-05,
    1.349112e-05,
    1.011199e-05,
    4.242365e-06,
    6.66416e-07,
    3.286027e-08,
    0.0,
    1.134444e-08,
    1.947925e-07,
    1.646153e-06,
    8.400417e-06,
    3.386037e-05,
    0.0001641341,
    0.0006420367,
    0.001525609,
    0.001742646,
    0.001643526,
    0.001210364,
    0.000306313,
    1.794572e-05,
    2.292291e-07,
    0.0,
    2.078825e-07,
    0.0001499927,
    0.02883225,
    0.7518572,
    5.966097,
    15.40618,
    17.52344,
    17.39495,
    14.4197,
    4.538937,
    0.3115426,
    0.008828668,
    5.77627e-05,
    7.719502e-08,
    0.0,
    0.0,
    1.04183e-06,
    3.014677e-05,
    0.0001341856,
    0.0002072722,
    0.0002269011,
    0.0002077873,
    0.0001111215,
    4.63448e-05,
    5.321903e-05,
    0.0001148251,
    0.0002102478,
    0.000271836,
    0.0002715076,
    0.0002076115,
    0.0001079048,
    3.378618e-05,
    4.196e-06,
    2.969466e-07,
    4.37982e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.503158e-07,
    2.306926e-06,
    1.321706e-05,
    3.494972e-05,
    4.337642e-05,
    4.185133e-05,
    3.128218e-05,
    9.550969e-06,
    5.845679e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.080377e-07,
    1.413725e-05,
    0.0004839212,
    0.00833416,
    0.022879,
    0.02514652,
    0.02489819,
    0.01809631,
    0.002993953,
    9.949162e-05,
    8.944781e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.254474e-08,
    1.099105e-06,
    1.51388e-05,
    0.0001464875,
    0.0005944134,
    0.001110253,
    0.001283217,
    0.001190348,
    0.0007652357,
    0.000231592,
    2.868224e-05,
    9.966163e-07,
    0.0,
    0.0,
    0.0,
    1.529594e-07,
    1.859318e-05,
    0.0004111057,
    0.002724405,
    0.005283048,
    0.005689865,
    0.00540514,
    0.003283776,
    0.0005499488,
    2.79727e-05,
    2.02284e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    4.187812e-09,
    2.61876e-06,
    0.0001693642,
    0.002797119,
    0.007655911,
    0.009620631,
    0.009886635,
    0.007624889,
    0.00275842,
    0.0005448971,
    3.297283e-05,
    7.438312e-07,
    0.0,
    7.940822e-08,
    1.385506e-06,
    2.830739e-06,
    3.00725e-06,
    2.927841e-06,
    1.627469e-06,
    1.765102e-07,
    0.0,
    3.460944e-07,
    0.0002105965,
    0.01786131,
    0.2742865,
    1.188322,
    2.157389,
    2.516818,
    2.504541,
    2.027406,
    0.9132852,
    0.2045327,
    0.02085577,
    0.0008251508,
    2.019536e-05,
    1.764106e-07,
    0.0,
    1.104319e-07,
    2.644324e-05,
    0.001569961,
    0.02308037,
    0.1136403,
    0.2070371,
    0.2309641,
    0.2202597,
    0.1443822,
    0.0368183,
    0.001362714,
    1.625358e-05,
    2.354325e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.477255e-08,
    4.124401e-07,
    5.874195e-06,
    5.749187e-05,
    0.0002824054,
    0.0006679271,
    0.0009120346,
    0.0009165993,
    0.0007153292,
    0.0003375764,
    6.408673e-05,
    6.854166e-06,
    2.177783e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    6.746253e-08,
    2.45654e-07,
    8.547052e-07,
    2.751521e-06,
    8.923445e-06,
    4.344772e-05,
    0.0002912054,
    0.001344998,
    0.003167702,
    0.003579515,
    0.003409998,
    0.002423955,
    0.000516982,
    2.199316e-05,
    2.130249e-07,
    0.0,
    0.0,
    0.0,
    1.108518e-06,
    8.125315e-05,
    0.001543893,
    0.005224151,
    0.006901609,
    0.006963991,
    0.005721152,
    0.00206594,
    0.0001622753,
    3.336506e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    7.011506e-08,
    9.171963e-07,
    5.403767e-06,
    1.580884e-05,
    3.367288e-05,
    6.714178e-05,
    0.0001192773,
    0.0001624183,
    0.0001548257,
    0.0001220115,
    6.541251e-05,
    1.047577e-05,
    5.078509e-07,
    5.072027e-08,
    2.589414e-06,
    4.143998e-05,
    0.000212584,
    0.0003394056,
    0.0003618434,
    0.0003288518,
    0.0001618729,
    3.041201e-05,
    2.373907e-06,
    9.829898e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    7.784664e-08,
    6.02219e-06,
    0.0002039925,
    0.001493098,
    0.002570739,
    0.00279477,
    0.002639513,
    0.001429182,
    0.0002825753,
    1.550904e-05,
    3.142595e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    1.435779e-08,
    8.012483e-08,
    2.436218e-07,
    1.295605e-06,
    7.547056e-06,
    4.065604e-05,
    0.0001038718,
    0.000126837,
    0.0001226195,
    9.082132e-05,
    2.708724e-05,
    1.72504e-06,
    1.854116e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.464524e-06,
    0.0001793597,
    0.0072262,
    0.1072852,
    0.5429772,
    1.555339,
    3.270074,
    5.11724,
    5.856764,
    5.535973,
    4.301381,
    1.699772,
    0.1354219,
    0.002816601,
    2.08093e-05,
    2.26086e-08,
    0.0,
    8.857182e-07,
    1.010299e-05,
    3.874883e-05,
    0.0001039952,
    0.000262199,
    0.0007455401,
    0.002644387,
    0.007711711,
    0.01335257,
    0.01535818,
    0.01400173,
    0.009578842,
    0.003209415,
    0.0002704885,
    5.221957e-06,
    0.0,
    0.0,
    5.411708e-07,
    1.767562e-05,
    0.0004572951,
    0.004637847,
    0.02382282,
    0.05176649,
    0.05862414,
    0.05622708,
    0.03943108,
    0.00939031,
    0.0003946272,
    6.826498e-06,
    2.254633e-08,
    0.0,
    0.0,
    0.0,
    3.957995e-08,
    2.705856e-05,
    0.003350819,
    0.1194484,
    0.6258331,
    0.9228515,
    0.9473512,
    0.8917014,
    0.459024,
    0.04943334,
    0.000909107,
    3.566704e-06,
    0.0,
    0.0,
    0.0,
    1.567531e-06,
    2.830754e-05,
    3.942617e-05,
    3.984177e-05,
    3.837243e-05,
    1.191864e-05,
    4.375703e-07,
    0.0,
    0.0,
    0.0,
    3.822047e-08,
    6.814955e-07,
    4.821241e-06,
    9.12167e-06,
    1.025302e-05,
    9.645334e-06,
    5.569059e-06,
    1.202614e-06,
    1.394525e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.80727e-06,
    8.761248e-05,
    0.0009188436,
    0.001606902,
    0.00164853,
    0.00157602,
    0.0007778179,
    5.121498e-05,
    2.645362e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    1.955623e-08,
    5.414056e-07,
    4.543501e-06,
    1.483136e-05,
    2.550559e-05,
    3.448509e-05,
    3.780863e-05,
    3.657071e-05,
    4.558123e-05,
    5.609672e-05,
    5.406686e-05,
    4.566463e-05,
    2.643518e-05,
    5.629791e-06,
    2.704769e-07,
    0.0,
    0.0,
    0.0,
    3.685849e-08,
    4.082054e-07,
    1.310001e-06,
    2.244129e-06,
    2.919621e-06,
    3.266423e-06,
    3.350622e-06,
    4.506726e-06,
    7.55625e-06,
    9.507354e-06,
    9.095466e-06,
    7.050443e-06,
    3.30008e-06,
    5.713645e-07,
    9.728295e-09,
    0.0,
    0.0,
    0.0,
    4.289919e-09,
    4.66967e-06,
    0.0002688395,
    0.004764709,
    0.02063366,
    0.03657808,
    0.03921965,
    0.0360176,
    0.02195792,
    0.004098035,
    0.0001460686,
    1.029205e-06,
    0.0,
    0.0,
    0.0,
    2.752859e-07,
    5.710546e-06,
    6.420678e-05,
    0.000372478,
    0.001023189,
    0.001695446,
    0.002103366,
    0.001925161,
    0.001316573,
    0.0006173388,
    0.0001107522,
    6.968851e-06,
    1.030895e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    1.583559e-08,
    1.663862e-06,
    1.766006e-05,
    3.745938e-05,
    4.187316e-05,
    4.048504e-05,
    2.499055e-05,
    4.775777e-06,
    1.362506e-07,
    0.0,
    0.0,
    0.0,
    4.064546e-08,
    1.302549e-06,
    1.147938e-05,
    4.410054e-05,
    7.365503e-05,
    7.739649e-05,
    6.810373e-05,
    3.60937e-05,
    5.305965e-06,
    1.2732e-07,
    0.0,
    0.0,
    0.0,
    1.433317e-07,
    7.330836e-06,
    0.0001670989,
    0.001464802,
    0.003970007,
    0.005501583,
    0.005507172,
    0.004383433,
    0.001876193,
    0.0001678839,
    2.396507e-06,
    0.0,
    0.0,
    0.0,
    4.296633e-09,
    7.15658e-07,
    2.08901e-05,
    0.0004337447,
    0.006358225,
    0.06236656,
    0.3285893,
    0.7192929,
    0.8301668,
    0.8078134,
    0.6189958,
    0.186983,
    0.009338627,
    9.68267e-05,
    2.814117e-07,
    0.0,
    0.0,
    7.872485e-08,
    1.484895e-06,
    1.105461e-05,
    3.730743e-05,
    5.655871e-05,
    6.037054e-05,
    5.282113e-05,
    2.814528e-05,
    1.071782e-05,
    1.533232e-05,
    3.152077e-05,
    3.872542e-05,
    3.732646e-05,
    2.751951e-05,
    9.541628e-06,
    8.447023e-07,
    1.535174e-08,
    0.0,
    0.0,
    4.953335e-09,
    5.958582e-07,
    1.049614e-05,
    0.0001339482,
    0.000995927,
    0.002681737,
    0.003376451,
    0.003327655,
    0.002582579,
    0.0008705674,
    6.008365e-05,
    7.022517e-07,
    0.0,
    0.0,
    0.0,
    9.091233e-08,
    1.792434e-05,
    0.001170199,
    0.02760943,
    0.1121865,
    0.1433459,
    0.1452049,
    0.1258129,
    0.04449829,
    0.004546576,
    0.0001223468,
    1.284967e-06,
    4.529439e-08,
    2.431296e-07,
    1.727088e-06,
    4.324493e-06,
    7.313409e-06,
    8.436563e-06,
    7.319208e-06,
    5.004008e-06,
    2.749176e-06,
    1.04978e-05,
    0.0002031772,
    0.002757168,
    0.01328643,
    0.02041184,
    0.0209091,
    0.01902071,
    0.008755207,
    0.0008826405,
    2.553756e-05,
    2.104831e-07,
    0.0,
    0.0,
    0.0,
    2.296796e-07,
    3.058433e-06,
    1.082209e-05,
    1.417095e-05,
    1.481247e-05,
    1.231173e-05,
    4.871064e-06,
    1.857826e-06,
    1.886525e-06,
    2.645327e-06,
    2.971167e-06,
    2.81616e-06,
    2.087225e-06,
    1.190381e-06,
    6.855441e-07,
    4.192148e-07,
    2.203647e-07,
    1.03071e-07,
    3.683836e-07,
    1.260356e-05,
    0.0002803305,
    0.002232666,
    0.00596463,
    0.006943157,
    0.006793162,
    0.005110722,
    0.001225969,
    7.897424e-05,
    3.656995e-06,
    6.05997e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    3.506066e-08,
    2.190248e-06,
    3.773617e-05,
    0.0002150091,
    0.0004922751,
    0.0006084713,
    0.0006068277,
    0.0004504222,
    0.0001760544,
    5.167544e-05,
    2.40187e-05,
    1.877392e-05,
    1.642523e-05,
    1.359858e-05,
    9.192906e-06,
    5.167128e-06,
    2.868579e-06,
    1.373962e-06,
    4.21273e-07,
    4.469829e-08,
    0.0,
    9.635091e-07,
    3.371974e-05,
    0.00021494,
    0.0005407459,
    0.0006648635,
    0.0006539268,
    0.0004879972,
    0.0001611865,
    2.282509e-05,
    1.452715e-06,
    3.704861e-08,
    2.462097e-06,
    0.0001387954,
    0.002866095,
    0.01173947,
    0.01881206,
    0.02019781,
    0.01810694,
    0.009828152,
    0.002181597,
    0.0002251132,
    2.66531e-05,
    8.271542e-06,
    6.817102e-06,
    1.103174e-05,
    1.837138e-05,
    2.057193e-05,
    1.840447e-05,
    1.294119e-05,
    4.434833e-06,
    5.199965e-07,
    1.89947e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.613095e-08,
    6.157479e-08,
    9.293803e-08,
    9.293803e-08,
    7.680708e-08,
    3.136324e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.931296e-07,
    1.118671e-05,
    8.063569e-05,
    0.0001882745,
    0.0002748459,
    0.0002900958,
    0.0002291375,
    0.0001235455,
    3.203193e-05,
    4.331696e-06,
    4.200489e-07,
    6.534841e-08,
    4.546298e-08,
    1.727014e-07,
    1.361065e-06,
    1.158354e-05,
    4.938665e-05,
    7.406874e-05,
    7.769852e-05,
    6.856976e-05,
    3.173527e-05,
    6.232874e-06,
    1.349544e-06,
    6.721136e-07,
    3.546309e-07,
    1.687935e-07,
    3.398242e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.971639e-08,
    7.553468e-08,
    1.140295e-07,
    1.140295e-07,
    9.431313e-08,
    3.849484e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    3.669499e-08,
    2.576354e-07,
    3.308136e-07,
    3.308136e-07,
    2.941186e-07,
    7.317824e-08,
    0.0,
    0.0,
    1.400101e-08,
    8.834552e-08,
    3.716996e-07,
    8.33504e-07,
    1.031719e-06,
    1.034989e-06,
    7.679922e-07,
    3.061879e-07,
    9.397228e-08,
    1.635779e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.074736e-07,
    1.551489e-06,
    2.279709e-06,
    2.318072e-06,
    2.210598e-06,
    7.665823e-07,
    3.836289e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.996115e-08,
    1.563149e-07,
    2.696697e-07,
    3.43925e-07,
    4.320958e-07,
    1.042467e-06,
    9.498476e-06,
    7.740242e-05,
    0.0001849374,
    0.0001982961,
    0.0001916017,
    0.000125943,
    1.668088e-05,
    1.208431e-06,
    2.602327e-07,
    1.891236e-06,
    8.161447e-06,
    1.31244e-05,
    1.348881e-05,
    1.188097e-05,
    5.638425e-06,
    5.643638e-07,
    4.476926e-09,
    0.0,
    0.0,
    0.0,
    2.622747e-07,
    7.354851e-06,
    6.03076e-05,
    0.0001577921,
    0.0002036399,
    0.0002141542,
    0.0001717659,
    7.964645e-05,
    3.51477e-05,
    1.875816e-05,
    1.21571e-05,
    7.486484e-06,
    3.862733e-06,
    1.664978e-06,
    4.183536e-07,
    8.008919e-08,
    4.628365e-09,
    5.690494e-08,
    6.014644e-07,
    1.802418e-06,
    1.960298e-06,
    1.903393e-06,
    1.358833e-06,
    1.578795e-07,
    0.0,
    0.0,
    5.679687e-08,
    7.917912e-07,
    6.529073e-06,
    4.109183e-05,
    0.0001306905,
    0.0002610659,
    0.0004708723,
    0.000942667,
    0.001674579,
    0.002134766,
    0.002048982,
    0.001573528,
    0.0007339392,
    0.0001325107,
    8.870607e-06,
    3.923342e-07,
    3.355435e-08,
    2.431834e-08,
    5.663296e-08,
    7.301568e-08,
    6.848669e-08,
    4.869734e-08,
    2.147548e-08,
    7.114851e-08,
    3.116975e-07,
    1.043495e-06,
    1.658127e-06,
    1.672076e-06,
    1.431527e-06,
    6.997296e-07,
    8.000457e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.348316e-08,
    4.685671e-07,
    2.300239e-06,
    7.169111e-06,
    1.135997e-05,
    1.303197e-05,
    1.146557e-05,
    6.652641e-06,
    2.33772e-06,
    2.015208e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.939294e-07,
    3.343146e-06,
    8.107187e-06,
    9.832104e-06,
    9.648069e-06,
    6.659383e-06,
    1.878871e-06,
    1.041979e-07,
    0.0,
    0.0,
    0.0,
    4.389026e-09,
    4.389026e-09,
    4.389026e-09,
    4.389026e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.881648e-08,
    5.18742e-07,
    3.797216e-06,
    1.344844e-05,
    2.541521e-05,
    2.809577e-05,
    2.512978e-05,
    1.558907e-05,
    3.405634e-06,
    1.11498e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.179448e-09,
    8.62395e-09,
    8.62395e-09,
    8.62395e-09,
    4.444503e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.559515e-08,
    2.767936e-07,
    1.907863e-06,
    6.112753e-06,
    1.011858e-05,
    1.268161e-05,
    1.284592e-05,
    9.52197e-06,
    5.656649e-06,
    2.837649e-06,
    1.041476e-06,
    2.346071e-07,
    3.37401e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    1.721029e-08,
    2.21139e-08,
    2.21139e-08,
    2.21139e-08,
    4.90361e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.276918e-08,
    1.034724e-07,
    1.034724e-07,
    1.034724e-07,
    7.070327e-08
  ],
  "sequence_id": "sp|Q96JQ0|PCD16_HUMAN",
  "sequence_id_short": "Q96JQ0",
  "backbone_mean": 0.7511294724075197,
  "backbone_median": 0.7533500000000002,
  "backbone_variance": 0.00771868092061935,
  "backbone_stdev": 0.08785602381521343,
  "backbone_pvariance": 0.007716340507969071,
  "backbone_pstdev": 0.08784270321414904,
  "backbone_min": 0.44980000000000003,
  "backbone_max": 1.0532000000000001,
  "sidechain_mean": 0.4910809733171619,
  "sidechain_median": 0.5220500000000001,
  "sidechain_variance": 0.01138627613999868,
  "sidechain_stdev": 0.1067064953037006,
  "sidechain_pvariance": 0.011382823660878,
  "sidechain_pstdev": 0.10669031662188468,
  "sidechain_min": 0.20299999999999999,
  "sidechain_max": 0.7119999999999999,
  "ppII_mean": 0.11924665483966325,
  "ppII_median": 0.11458411859348416,
  "ppII_variance": 0.0023453092782956867,
  "ppII_stdev": 0.04842839330698146,
  "ppII_pvariance": 0.00234459814752604,
  "ppII_pstdev": 0.048421050665243104,
  "ppII_min": -0.031157694291323423,
  "ppII_max": 0.3123876261524856,
  "coil_mean": 0.4113502979432185,
  "coil_median": 0.4069788306951523,
  "coil_variance": 0.019612059875922985,
  "coil_stdev": 0.14004306436208466,
  "coil_pvariance": 0.019606113223443928,
  "coil_pstdev": 0.14002183123871767,
  "coil_min": -0.01644362509250641,
  "coil_max": 0.8718119263648987,
  "sheet_mean": 0.28358828231665206,
  "sheet_median": 0.2699708491563797,
  "sheet_variance": 0.029529513476497234,
  "sheet_stdev": 0.17184153594663087,
  "sheet_pvariance": 0.029520559712556512,
  "sheet_pstdev": 0.17181548158578874,
  "sheet_min": -0.13576442003250122,
  "sheet_max": 0.7553533315658569,
  "helix_mean": 0.24370438522665455,
  "helix_median": 0.25608402770012617,
  "helix_variance": 0.03715382273262603,
  "helix_stdev": 0.19275326905820828,
  "helix_pvariance": 0.03714255717085143,
  "helix_pstdev": 0.19272404409116012,
  "helix_min": -0.4266937552019954,
  "helix_max": 0.8800605498254299,
  "earlyFolding_mean": 0.04466429037134514,
  "earlyFolding_median": 0.019148431988809722,
  "earlyFolding_variance": 0.00458178486713,
  "earlyFolding_stdev": 0.0676888828917275,
  "earlyFolding_pvariance": 0.004580395605496546,
  "earlyFolding_pstdev": 0.06767862000289712,
  "earlyFolding_min": 0.0005672182597018138,
  "earlyFolding_max": 0.742688093033953,
  "agmata_mean": 0.13112030471122144,
  "agmata_median": 4.022967e-06,
  "agmata_variance": 1.7210618228502623,
  "agmata_stdev": 1.311892458569018,
  "agmata_pvariance": 1.7205399726917268,
  "agmata_pstdev": 1.3116935513646955,
  "agmata_min": 0.0,
  "agmata_max": 31.85703,
  "disoMine_mean": 0.05244907676939795,
  "disoMine_median": 0.029749469831585884,
  "disoMine_variance": 0.00474232122720818,
  "disoMine_stdev": 0.0688645135553006,
  "disoMine_pvariance": 0.004740883288691744,
  "disoMine_pstdev": 0.06885407241907877,
  "disoMine_min": 0.010759035125374794,
  "disoMine_max": 0.5120468735694885,
  "complexity_mean": 7.6810187992722865,
  "complexity_median": 8.0,
  "complexity_variance": 1.5469917430495739,
  "complexity_stdev": 1.2437812279696032,
  "complexity_pvariance": 1.546522673388249,
  "complexity_pstdev": 1.243592647689849,
  "complexity_min": 2.0,
  "complexity_max": 11.0,
  "arg_mean": 0.7070952092177077,
  "arg_median": 1.0,
  "arg_variance": 0.6894309894159252,
  "arg_stdev": 0.8303198115280191,
  "arg_pvariance": 0.6892219442402382,
  "arg_pstdev": 0.8301939196598818,
  "arg_min": 0.0,
  "arg_max": 5.0,
  "tyr_mean": 0.23013947847180108,
  "tyr_median": 0.0,
  "tyr_variance": 0.1996736839065523,
  "tyr_stdev": 0.4468486140814944,
  "tyr_pvariance": 0.19961314003635627,
  "tyr_pstdev": 0.4467808635520956,
  "tyr_min": 0.0,
  "tyr_max": 2.0,
  "RRM_mean": 0.0,
  "RRM_median": 0.0,
  "RRM_variance": 0.0,
  "RRM_stdev": 0.0,
  "RRM_pvariance": 0.0,
  "RRM_pstdev": 0.0,
  "RRM_min": 0.0,
  "RRM_max": 0.0,
  "disorder_mean": 1.162522741055185,
  "disorder_median": 1.0,
  "disorder_variance": 0.32116706423852615,
  "disorder_stdev": 0.5667160349227169,
  "disorder_pvariance": 0.32106968186610696,
  "disorder_pstdev": 0.5666301102713365,
  "disorder_min": 1.0,
  "disorder_max": 5.0
}