{
  "seq": [
    "M",
    "A",
    "P",
    "P",
    "P",
    "P",
    "P",
    "V",
    "L",
    "P",
    "V",
    "L",
    "L",
    "L",
    "L",
    "A",
    "A",
    "A",
    "A",
    "A",
    "L",
    "P",
    "A",
    "M",
    "G",
    "L",
    "R",
    "A",
    "A",
    "A",
    "W",
    "E",
    "P",
    "R",
    "V",
    "P",
    "G",
    "G",
    "T",
    "R",
    "A",
    "F",
    "A",
    "L",
    "R",
    "P",
    "G",
    "C",
    "T",
    "Y",
    "A",
    "V",
    "G",
    "A",
    "A",
    "C",
    "T",
    "P",
    "R",
    "A",
    "P",
    "R",
    "E",
    "L",
    "L",
    "D",
    "V",
    "G",
    "R",
    "D",
    "G",
    "R",
    "L",
    "A",
    "G",
    "R",
    "R",
    "R",
    "V",
    "S",
    "G",
    "A",
    "G",
    "R",
    "P",
    "L",
    "P",
    "L",
    "Q",
    "V",
    "R",
    "L",
    "V",
    "A",
    "R",
    "S",
    "A",
    "P",
    "T",
    "A",
    "L",
    "S",
    "R",
    "R",
    "L",
    "R",
    "A",
    "R",
    "T",
    "H",
    "L",
    "P",
    "G",
    "C",
    "G",
    "A",
    "R",
    "A",
    "R",
    "L",
    "C",
    "G",
    "T",
    "G",
    "A",
    "R",
    "L",
    "C",
    "G",
    "A",
    "L",
    "C",
    "F",
    "P",
    "V",
    "P",
    "G",
    "G",
    "C",
    "A",
    "A",
    "A",
    "Q",
    "H",
    "S",
    "A",
    "L",
    "A",
    "A",
    "P",
    "T",
    "T",
    "L",
    "P",
    "A",
    "C",
    "R",
    "C",
    "P",
    "P",
    "R",
    "P",
    "R",
    "P",
    "R",
    "C",
    "P",
    "G",
    "R",
    "P",
    "I",
    "C",
    "L",
    "P",
    "P",
    "G",
    "G",
    "S",
    "V",
    "R",
    "L",
    "R",
    "L",
    "L",
    "C",
    "A",
    "L",
    "R",
    "R",
    "A",
    "A",
    "G",
    "A",
    "V",
    "R",
    "V",
    "G",
    "L",
    "A",
    "L",
    "E",
    "A",
    "A",
    "T",
    "A",
    "G",
    "T",
    "P",
    "S",
    "A",
    "S",
    "P",
    "S",
    "P",
    "S",
    "P",
    "P",
    "L",
    "P",
    "P",
    "N",
    "L",
    "P",
    "E",
    "A",
    "R",
    "A",
    "G",
    "P",
    "A",
    "R",
    "R",
    "A",
    "R",
    "R",
    "G",
    "T",
    "S",
    "G",
    "R",
    "G",
    "S",
    "L",
    "K",
    "F",
    "P",
    "M",
    "P",
    "N",
    "Y",
    "Q",
    "V",
    "A",
    "L",
    "F",
    "E",
    "N",
    "E",
    "P",
    "A",
    "G",
    "T",
    "L",
    "I",
    "L",
    "Q",
    "L",
    "H",
    "A",
    "H",
    "Y",
    "T",
    "I",
    "E",
    "G",
    "E",
    "E",
    "E",
    "R",
    "V",
    "S",
    "Y",
    "Y",
    "M",
    "E",
    "G",
    "L",
    "F",
    "D",
    "E",
    "R",
    "S",
    "R",
    "G",
    "Y",
    "F",
    "R",
    "I",
    "D",
    "S",
    "A",
    "T",
    "G",
    "A",
    "V",
    "S",
    "T",
    "D",
    "S",
    "V",
    "L",
    "D",
    "R",
    "E",
    "T",
    "K",
    "E",
    "T",
    "H",
    "V",
    "L",
    "R",
    "V",
    "K",
    "A",
    "V",
    "D",
    "Y",
    "S",
    "T",
    "P",
    "P",
    "R",
    "S",
    "A",
    "T",
    "T",
    "Y",
    "I",
    "T",
    "V",
    "L",
    "V",
    "K",
    "D",
    "T",
    "N",
    "D",
    "H",
    "S",
    "P",
    "V",
    "F",
    "E",
    "Q",
    "S",
    "E",
    "Y",
    "R",
    "E",
    "R",
    "V",
    "R",
    "E",
    "N",
    "L",
    "E",
    "V",
    "G",
    "Y",
    "E",
    "V",
    "L",
    "T",
    "I",
    "R",
    "A",
    "S",
    "D",
    "R",
    "D",
    "S",
    "P",
    "I",
    "N",
    "A",
    "N",
    "L",
    "R",
    "Y",
    "R",
    "V",
    "L",
    "G",
    "G",
    "A",
    "W",
    "D",
    "V",
    "F",
    "Q",
    "L",
    "N",
    "E",
    "S",
    "S",
    "G",
    "V",
    "V",
    "S",
    "T",
    "R",
    "A",
    "V",
    "L",
    "D",
    "R",
    "E",
    "E",
    "A",
    "A",
    "E",
    "Y",
    "Q",
    "L",
    "L",
    "V",
    "E",
    "A",
    "N",
    "D",
    "Q",
    "G",
    "R",
    "N",
    "P",
    "G",
    "P",
    "L",
    "S",
    "A",
    "T",
    "A",
    "T",
    "V",
    "Y",
    "I",
    "E",
    "V",
    "E",
    "D",
    "E",
    "N",
    "D",
    "N",
    "Y",
    "P",
    "Q",
    "F",
    "S",
    "E",
    "Q",
    "N",
    "Y",
    "V",
    "V",
    "Q",
    "V",
    "P",
    "E",
    "D",
    "V",
    "G",
    "L",
    "N",
    "T",
    "A",
    "V",
    "L",
    "R",
    "V",
    "Q",
    "A",
    "T",
    "D",
    "R",
    "D",
    "Q",
    "G",
    "Q",
    "N",
    "A",
    "A",
    "I",
    "H",
    "Y",
    "S",
    "I",
    "L",
    "S",
    "G",
    "N",
    "V",
    "A",
    "G",
    "Q",
    "F",
    "Y",
    "L",
    "H",
    "S",
    "L",
    "S",
    "G",
    "I",
    "L",
    "D",
    "V",
    "I",
    "N",
    "P",
    "L",
    "D",
    "F",
    "E",
    "D",
    "V",
    "Q",
    "K",
    "Y",
    "S",
    "L",
    "S",
    "I",
    "K",
    "A",
    "Q",
    "D",
    "G",
    "G",
    "R",
    "P",
    "P",
    "L",
    "I",
    "N",
    "S",
    "S",
    "G",
    "V",
    "V",
    "S",
    "V",
    "Q",
    "V",
    "L",
    "D",
    "V",
    "N",
    "D",
    "N",
    "E",
    "P",
    "I",
    "F",
    "V",
    "S",
    "S",
    "P",
    "F",
    "Q",
    "A",
    "T",
    "V",
    "L",
    "E",
    "N",
    "V",
    "P",
    "L",
    "G",
    "Y",
    "P",
    "V",
    "V",
    "H",
    "I",
    "Q",
    "A",
    "V",
    "D",
    "A",
    "D",
    "S",
    "G",
    "E",
    "N",
    "A",
    "R",
    "L",
    "H",
    "Y",
    "R",
    "L",
    "V",
    "D",
    "T",
    "A",
    "S",
    "T",
    "F",
    "L",
    "G",
    "G",
    "G",
    "S",
    "A",
    "G",
    "P",
    "K",
    "N",
    "P",
    "A",
    "P",
    "T",
    "P",
    "D",
    "F",
    "P",
    "F",
    "Q",
    "I",
    "H",
    "N",
    "S",
    "S",
    "G",
    "W",
    "I",
    "T",
    "V",
    "C",
    "A",
    "E",
    "L",
    "D",
    "R",
    "E",
    "E",
    "V",
    "E",
    "H",
    "Y",
    "S",
    "F",
    "G",
    "V",
    "E",
    "A",
    "V",
    "D",
    "H",
    "G",
    "S",
    "P",
    "P",
    "M",
    "S",
    "S",
    "S",
    "T",
    "S",
    "V",
    "S",
    "I",
    "T",
    "V",
    "L",
    "D",
    "V",
    "N",
    "D",
    "N",
    "D",
    "P",
    "V",
    "F",
    "T",
    "Q",
    "P",
    "T",
    "Y",
    "E",
    "L",
    "R",
    "L",
    "N",
    "E",
    "D",
    "A",
    "A",
    "V",
    "G",
    "S",
    "S",
    "V",
    "L",
    "T",
    "L",
    "Q",
    "A",
    "R",
    "D",
    "R",
    "D",
    "A",
    "N",
    "S",
    "V",
    "I",
    "T",
    "Y",
    "Q",
    "L",
    "T",
    "G",
    "G",
    "N",
    "T",
    "R",
    "N",
    "R",
    "F",
    "A",
    "L",
    "S",
    "S",
    "Q",
    "R",
    "G",
    "G",
    "G",
    "L",
    "I",
    "T",
    "L",
    "A",
    "L",
    "P",
    "L",
    "D",
    "Y",
    "K",
    "Q",
    "E",
    "Q",
    "Q",
    "Y",
    "V",
    "L",
    "A",
    "V",
    "T",
    "A",
    "S",
    "D",
    "G",
    "T",
    "R",
    "S",
    "H",
    "T",
    "A",
    "H",
    "V",
    "L",
    "I",
    "N",
    "V",
    "T",
    "D",
    "A",
    "N",
    "T",
    "H",
    "R",
    "P",
    "V",
    "F",
    "Q",
    "S",
    "S",
    "H",
    "Y",
    "T",
    "V",
    "S",
    "V",
    "S",
    "E",
    "D",
    "R",
    "P",
    "V",
    "G",
    "T",
    "S",
    "I",
    "A",
    "T",
    "L",
    "S",
    "A",
    "N",
    "D",
    "E",
    "D",
    "T",
    "G",
    "E",
    "N",
    "A",
    "R",
    "I",
    "T",
    "Y",
    "V",
    "I",
    "Q",
    "D",
    "P",
    "V",
    "P",
    "Q",
    "F",
    "R",
    "I",
    "D",
    "P",
    "D",
    "S",
    "G",
    "T",
    "M",
    "Y",
    "T",
    "M",
    "M",
    "E",
    "L",
    "D",
    "Y",
    "E",
    "N",
    "Q",
    "V",
    "A",
    "Y",
    "T",
    "L",
    "T",
    "I",
    "M",
    "A",
    "Q",
    "D",
    "N",
    "G",
    "I",
    "P",
    "Q",
    "K",
    "S",
    "D",
    "T",
    "T",
    "T",
    "L",
    "E",
    "I",
    "L",
    "I",
    "L",
    "D",
    "A",
    "N",
    "D",
    "N",
    "A",
    "P",
    "Q",
    "F",
    "L",
    "W",
    "D",
    "F",
    "Y",
    "Q",
    "G",
    "S",
    "I",
    "F",
    "E",
    "D",
    "A",
    "P",
    "P",
    "S",
    "T",
    "S",
    "I",
    "L",
    "Q",
    "V",
    "S",
    "A",
    "T",
    "D",
    "R",
    "D",
    "S",
    "G",
    "P",
    "N",
    "G",
    "R",
    "L",
    "L",
    "Y",
    "T",
    "F",
    "Q",
    "G",
    "G",
    "D",
    "D",
    "G",
    "D",
    "G",
    "D",
    "F",
    "Y",
    "I",
    "E",
    "P",
    "T",
    "S",
    "G",
    "V",
    "I",
    "R",
    "T",
    "Q",
    "R",
    "R",
    "L",
    "D",
    "R",
    "E",
    "N",
    "V",
    "A",
    "V",
    "Y",
    "N",
    "L",
    "W",
    "A",
    "L",
    "A",
    "V",
    "D",
    "R",
    "G",
    "S",
    "P",
    "T",
    "P",
    "L",
    "S",
    "A",
    "S",
    "V",
    "E",
    "I",
    "Q",
    "V",
    "T",
    "I",
    "L",
    "D",
    "I",
    "N",
    "D",
    "N",
    "A",
    "P",
    "M",
    "F",
    "E",
    "K",
    "D",
    "E",
    "L",
    "E",
    "L",
    "F",
    "V",
    "E",
    "E",
    "N",
    "N",
    "P",
    "V",
    "G",
    "S",
    "V",
    "V",
    "A",
    "K",
    "I",
    "R",
    "A",
    "N",
    "D",
    "P",
    "D",
    "E",
    "G",
    "P",
    "N",
    "A",
    "Q",
    "I",
    "M",
    "Y",
    "Q",
    "I",
    "V",
    "E",
    "G",
    "D",
    "M",
    "R",
    "H",
    "F",
    "F",
    "Q",
    "L",
    "D",
    "L",
    "L",
    "N",
    "G",
    "D",
    "L",
    "R",
    "A",
    "M",
    "V",
    "E",
    "L",
    "D",
    "F",
    "E",
    "V",
    "R",
    "R",
    "E",
    "Y",
    "V",
    "L",
    "V",
    "V",
    "Q",
    "A",
    "T",
    "S",
    "A",
    "P",
    "L",
    "V",
    "S",
    "R",
    "A",
    "T",
    "V",
    "H",
    "I",
    "L",
    "L",
    "V",
    "D",
    "Q",
    "N",
    "D",
    "N",
    "P",
    "P",
    "V",
    "L",
    "P",
    "D",
    "F",
    "Q",
    "I",
    "L",
    "F",
    "N",
    "N",
    "Y",
    "V",
    "T",
    "N",
    "K",
    "S",
    "N",
    "S",
    "F",
    "P",
    "T",
    "G",
    "V",
    "I",
    "G",
    "C",
    "I",
    "P",
    "A",
    "H",
    "D",
    "P",
    "D",
    "V",
    "S",
    "D",
    "S",
    "L",
    "N",
    "Y",
    "T",
    "F",
    "V",
    "Q",
    "G",
    "N",
    "E",
    "L",
    "R",
    "L",
    "L",
    "L",
    "L",
    "D",
    "P",
    "A",
    "T",
    "G",
    "E",
    "L",
    "Q",
    "L",
    "S",
    "R",
    "D",
    "L",
    "D",
    "N",
    "N",
    "R",
    "P",
    "L",
    "E",
    "A",
    "L",
    "M",
    "E",
    "V",
    "S",
    "V",
    "S",
    "D",
    "G",
    "I",
    "H",
    "S",
    "V",
    "T",
    "A",
    "F",
    "C",
    "T",
    "L",
    "R",
    "V",
    "T",
    "I",
    "I",
    "T",
    "D",
    "D",
    "M",
    "L",
    "T",
    "N",
    "S",
    "I",
    "T",
    "V",
    "R",
    "L",
    "E",
    "N",
    "M",
    "S",
    "Q",
    "E",
    "K",
    "F",
    "L",
    "S",
    "P",
    "L",
    "L",
    "A",
    "L",
    "F",
    "V",
    "E",
    "G",
    "V",
    "A",
    "A",
    "V",
    "L",
    "S",
    "T",
    "T",
    "K",
    "D",
    "D",
    "V",
    "F",
    "V",
    "F",
    "N",
    "V",
    "Q",
    "N",
    "D",
    "T",
    "D",
    "V",
    "S",
    "S",
    "N",
    "I",
    "L",
    "N",
    "V",
    "T",
    "F",
    "S",
    "A",
    "L",
    "L",
    "P",
    "G",
    "G",
    "V",
    "R",
    "G",
    "Q",
    "F",
    "F",
    "P",
    "S",
    "E",
    "D",
    "L",
    "Q",
    "E",
    "Q",
    "I",
    "Y",
    "L",
    "N",
    "R",
    "T",
    "L",
    "L",
    "T",
    "T",
    "I",
    "S",
    "T",
    "Q",
    "R",
    "V",
    "L",
    "P",
    "F",
    "D",
    "D",
    "N",
    "I",
    "C",
    "L",
    "R",
    "E",
    "P",
    "C",
    "E",
    "N",
    "Y",
    "M",
    "K",
    "C",
    "V",
    "S",
    "V",
    "L",
    "R",
    "F",
    "D",
    "S",
    "S",
    "A",
    "P",
    "F",
    "L",
    "S",
    "S",
    "T",
    "T",
    "V",
    "L",
    "F",
    "R",
    "P",
    "I",
    "H",
    "P",
    "I",
    "N",
    "G",
    "L",
    "R",
    "C",
    "R",
    "C",
    "P",
    "P",
    "G",
    "F",
    "T",
    "G",
    "D",
    "Y",
    "C",
    "E",
    "T",
    "E",
    "I",
    "D",
    "L",
    "C",
    "Y",
    "S",
    "D",
    "P",
    "C",
    "G",
    "A",
    "N",
    "G",
    "R",
    "C",
    "R",
    "S",
    "R",
    "E",
    "G",
    "G",
    "Y",
    "T",
    "C",
    "E",
    "C",
    "F",
    "E",
    "D",
    "F",
    "T",
    "G",
    "E",
    "H",
    "C",
    "E",
    "V",
    "D",
    "A",
    "R",
    "S",
    "G",
    "R",
    "C",
    "A",
    "N",
    "G",
    "V",
    "C",
    "K",
    "N",
    "G",
    "G",
    "T",
    "C",
    "V",
    "N",
    "L",
    "L",
    "I",
    "G",
    "G",
    "F",
    "H",
    "C",
    "V",
    "C",
    "P",
    "P",
    "G",
    "E",
    "Y",
    "E",
    "R",
    "P",
    "Y",
    "C",
    "E",
    "V",
    "T",
    "T",
    "R",
    "S",
    "F",
    "P",
    "P",
    "Q",
    "S",
    "F",
    "V",
    "T",
    "F",
    "R",
    "G",
    "L",
    "R",
    "Q",
    "R",
    "F",
    "H",
    "F",
    "T",
    "I",
    "S",
    "L",
    "T",
    "F",
    "A",
    "T",
    "Q",
    "E",
    "R",
    "N",
    "G",
    "L",
    "L",
    "L",
    "Y",
    "N",
    "G",
    "R",
    "F",
    "N",
    "E",
    "K",
    "H",
    "D",
    "F",
    "I",
    "A",
    "L",
    "E",
    "I",
    "V",
    "D",
    "E",
    "Q",
    "V",
    "Q",
    "L",
    "T",
    "F",
    "S",
    "A",
    "G",
    "E",
    "T",
    "T",
    "T",
    "T",
    "V",
    "A",
    "P",
    "K",
    "V",
    "P",
    "S",
    "G",
    "V",
    "S",
    "D",
    "G",
    "R",
    "W",
    "H",
    "S",
    "V",
    "Q",
    "V",
    "Q",
    "Y",
    "Y",
    "N",
    "K",
    "P",
    "N",
    "I",
    "G",
    "H",
    "L",
    "G",
    "L",
    "P",
    "H",
    "G",
    "P",
    "S",
    "G",
    "E",
    "K",
    "M",
    "A",
    "V",
    "V",
    "T",
    "V",
    "D",
    "D",
    "C",
    "D",
    "T",
    "T",
    "M",
    "A",
    "V",
    "R",
    "F",
    "G",
    "K",
    "D",
    "I",
    "G",
    "N",
    "Y",
    "S",
    "C",
    "A",
    "A",
    "Q",
    "G",
    "T",
    "Q",
    "T",
    "G",
    "S",
    "K",
    "K",
    "S",
    "L",
    "D",
    "L",
    "T",
    "G",
    "P",
    "L",
    "L",
    "L",
    "G",
    "G",
    "V",
    "P",
    "N",
    "L",
    "P",
    "E",
    "D",
    "F",
    "P",
    "V",
    "H",
    "N",
    "R",
    "Q",
    "F",
    "V",
    "G",
    "C",
    "M",
    "R",
    "N",
    "L",
    "S",
    "V",
    "D",
    "G",
    "K",
    "N",
    "V",
    "D",
    "M",
    "A",
    "G",
    "F",
    "I",
    "A",
    "N",
    "N",
    "G",
    "T",
    "R",
    "E",
    "G",
    "C",
    "A",
    "A",
    "R",
    "R",
    "N",
    "F",
    "C",
    "D",
    "G",
    "R",
    "R",
    "C",
    "Q",
    "N",
    "G",
    "G",
    "T",
    "C",
    "V",
    "N",
    "R",
    "W",
    "N",
    "M",
    "Y",
    "L",
    "C",
    "E",
    "C",
    "P",
    "L",
    "R",
    "F",
    "G",
    "G",
    "K",
    "N",
    "C",
    "E",
    "Q",
    "A",
    "M",
    "P",
    "H",
    "P",
    "Q",
    "L",
    "F",
    "S",
    "G",
    "E",
    "S",
    "V",
    "V",
    "S",
    "W",
    "S",
    "D",
    "L",
    "N",
    "I",
    "I",
    "I",
    "S",
    "V",
    "P",
    "W",
    "Y",
    "L",
    "G",
    "L",
    "M",
    "F",
    "R",
    "T",
    "R",
    "K",
    "E",
    "D",
    "S",
    "V",
    "L",
    "M",
    "E",
    "A",
    "T",
    "S",
    "G",
    "G",
    "P",
    "T",
    "S",
    "F",
    "R",
    "L",
    "Q",
    "I",
    "L",
    "N",
    "N",
    "Y",
    "L",
    "Q",
    "F",
    "E",
    "V",
    "S",
    "H",
    "G",
    "P",
    "S",
    "D",
    "V",
    "E",
    "S",
    "V",
    "M",
    "L",
    "S",
    "G",
    "L",
    "R",
    "V",
    "T",
    "D",
    "G",
    "E",
    "W",
    "H",
    "H",
    "L",
    "L",
    "I",
    "E",
    "L",
    "K",
    "N",
    "V",
    "K",
    "E",
    "D",
    "S",
    "E",
    "M",
    "K",
    "H",
    "L",
    "V",
    "T",
    "M",
    "T",
    "L",
    "D",
    "Y",
    "G",
    "M",
    "D",
    "Q",
    "N",
    "K",
    "A",
    "D",
    "I",
    "G",
    "G",
    "M",
    "L",
    "P",
    "G",
    "L",
    "T",
    "V",
    "R",
    "S",
    "V",
    "V",
    "V",
    "G",
    "G",
    "A",
    "S",
    "E",
    "D",
    "K",
    "V",
    "S",
    "V",
    "R",
    "R",
    "G",
    "F",
    "R",
    "G",
    "C",
    "M",
    "Q",
    "G",
    "V",
    "R",
    "M",
    "G",
    "G",
    "T",
    "P",
    "T",
    "N",
    "V",
    "A",
    "T",
    "L",
    "N",
    "M",
    "N",
    "N",
    "A",
    "L",
    "K",
    "V",
    "R",
    "V",
    "K",
    "D",
    "G",
    "C",
    "D",
    "V",
    "D",
    "D",
    "P",
    "C",
    "T",
    "S",
    "S",
    "P",
    "C",
    "P",
    "P",
    "N",
    "S",
    "R",
    "C",
    "H",
    "D",
    "A",
    "W",
    "E",
    "D",
    "Y",
    "S",
    "C",
    "V",
    "C",
    "D",
    "K",
    "G",
    "Y",
    "L",
    "G",
    "I",
    "N",
    "C",
    "V",
    "D",
    "A",
    "C",
    "H",
    "L",
    "N",
    "P",
    "C",
    "E",
    "N",
    "M",
    "G",
    "A",
    "C",
    "V",
    "R",
    "S",
    "P",
    "G",
    "S",
    "P",
    "Q",
    "G",
    "Y",
    "V",
    "C",
    "E",
    "C",
    "G",
    "P",
    "S",
    "H",
    "Y",
    "G",
    "P",
    "Y",
    "C",
    "E",
    "N",
    "K",
    "L",
    "D",
    "L",
    "P",
    "C",
    "P",
    "R",
    "G",
    "W",
    "W",
    "G",
    "N",
    "P",
    "V",
    "C",
    "G",
    "P",
    "C",
    "H",
    "C",
    "A",
    "V",
    "S",
    "K",
    "G",
    "F",
    "D",
    "P",
    "D",
    "C",
    "N",
    "K",
    "T",
    "N",
    "G",
    "Q",
    "C",
    "Q",
    "C",
    "K",
    "E",
    "N",
    "Y",
    "Y",
    "K",
    "L",
    "L",
    "A",
    "Q",
    "D",
    "T",
    "C",
    "L",
    "P",
    "C",
    "D",
    "C",
    "F",
    "P",
    "H",
    "G",
    "S",
    "H",
    "S",
    "R",
    "T",
    "C",
    "D",
    "M",
    "A",
    "T",
    "G",
    "Q",
    "C",
    "A",
    "C",
    "K",
    "P",
    "G",
    "V",
    "I",
    "G",
    "R",
    "Q",
    "C",
    "N",
    "R",
    "C",
    "D",
    "N",
    "P",
    "F",
    "A",
    "E",
    "V",
    "T",
    "T",
    "L",
    "G",
    "C",
    "E",
    "V",
    "I",
    "Y",
    "N",
    "G",
    "C",
    "P",
    "K",
    "A",
    "F",
    "E",
    "A",
    "G",
    "I",
    "W",
    "W",
    "P",
    "Q",
    "T",
    "K",
    "F",
    "G",
    "Q",
    "P",
    "A",
    "A",
    "V",
    "P",
    "C",
    "P",
    "K",
    "G",
    "S",
    "V",
    "G",
    "N",
    "A",
    "V",
    "R",
    "H",
    "C",
    "S",
    "G",
    "E",
    "K",
    "G",
    "W",
    "L",
    "P",
    "P",
    "E",
    "L",
    "F",
    "N",
    "C",
    "T",
    "T",
    "I",
    "S",
    "F",
    "V",
    "D",
    "L",
    "R",
    "A",
    "M",
    "N",
    "E",
    "K",
    "L",
    "S",
    "R",
    "N",
    "E",
    "T",
    "Q",
    "V",
    "D",
    "G",
    "A",
    "R",
    "A",
    "L",
    "Q",
    "L",
    "V",
    "R",
    "A",
    "L",
    "R",
    "S",
    "A",
    "T",
    "Q",
    "H",
    "T",
    "G",
    "T",
    "L",
    "F",
    "G",
    "N",
    "D",
    "V",
    "R",
    "T",
    "A",
    "Y",
    "Q",
    "L",
    "L",
    "G",
    "H",
    "V",
    "L",
    "Q",
    "H",
    "E",
    "S",
    "W",
    "Q",
    "Q",
    "G",
    "F",
    "D",
    "L",
    "A",
    "A",
    "T",
    "Q",
    "D",
    "A",
    "D",
    "F",
    "H",
    "E",
    "D",
    "V",
    "I",
    "H",
    "S",
    "G",
    "S",
    "A",
    "L",
    "L",
    "A",
    "P",
    "A",
    "T",
    "R",
    "A",
    "A",
    "W",
    "E",
    "Q",
    "I",
    "Q",
    "R",
    "S",
    "E",
    "G",
    "G",
    "T",
    "A",
    "Q",
    "L",
    "L",
    "R",
    "R",
    "L",
    "E",
    "G",
    "Y",
    "F",
    "S",
    "N",
    "V",
    "A",
    "R",
    "N",
    "V",
    "R",
    "R",
    "T",
    "Y",
    "L",
    "R",
    "P",
    "F",
    "V",
    "I",
    "V",
    "T",
    "A",
    "N",
    "M",
    "I",
    "L",
    "A",
    "V",
    "D",
    "I",
    "F",
    "D",
    "K",
    "F",
    "N",
    "F",
    "T",
    "G",
    "A",
    "R",
    "V",
    "P",
    "R",
    "F",
    "D",
    "T",
    "I",
    "H",
    "E",
    "E",
    "F",
    "P",
    "R",
    "E",
    "L",
    "E",
    "S",
    "S",
    "V",
    "S",
    "F",
    "P",
    "A",
    "D",
    "F",
    "F",
    "R",
    "P",
    "P",
    "E",
    "E",
    "K",
    "E",
    "G",
    "P",
    "L",
    "L",
    "R",
    "P",
    "A",
    "G",
    "R",
    "R",
    "T",
    "T",
    "P",
    "Q",
    "T",
    "T",
    "R",
    "P",
    "G",
    "P",
    "G",
    "T",
    "E",
    "R",
    "E",
    "A",
    "P",
    "I",
    "S",
    "R",
    "R",
    "R",
    "R",
    "H",
    "P",
    "D",
    "D",
    "A",
    "G",
    "Q",
    "F",
    "A",
    "V",
    "A",
    "L",
    "V",
    "I",
    "I",
    "Y",
    "R",
    "T",
    "L",
    "G",
    "Q",
    "L",
    "L",
    "P",
    "E",
    "R",
    "Y",
    "D",
    "P",
    "D",
    "R",
    "R",
    "S",
    "L",
    "R",
    "L",
    "P",
    "H",
    "R",
    "P",
    "I",
    "I",
    "N",
    "T",
    "P",
    "M",
    "V",
    "S",
    "T",
    "L",
    "V",
    "Y",
    "S",
    "E",
    "G",
    "A",
    "P",
    "L",
    "P",
    "R",
    "P",
    "L",
    "E",
    "R",
    "P",
    "V",
    "L",
    "V",
    "E",
    "F",
    "A",
    "L",
    "L",
    "E",
    "V",
    "E",
    "E",
    "R",
    "T",
    "K",
    "P",
    "V",
    "C",
    "V",
    "F",
    "W",
    "N",
    "H",
    "S",
    "L",
    "A",
    "V",
    "G",
    "G",
    "T",
    "G",
    "G",
    "W",
    "S",
    "A",
    "R",
    "G",
    "C",
    "E",
    "L",
    "L",
    "S",
    "R",
    "N",
    "R",
    "T",
    "H",
    "V",
    "A",
    "C",
    "Q",
    "C",
    "S",
    "H",
    "T",
    "A",
    "S",
    "F",
    "A",
    "V",
    "L",
    "M",
    "D",
    "I",
    "S",
    "R",
    "R",
    "E",
    "N",
    "G",
    "E",
    "V",
    "L",
    "P",
    "L",
    "K",
    "I",
    "V",
    "T",
    "Y",
    "A",
    "A",
    "V",
    "S",
    "L",
    "S",
    "L",
    "A",
    "A",
    "L",
    "L",
    "V",
    "A",
    "F",
    "V",
    "L",
    "L",
    "S",
    "L",
    "V",
    "R",
    "M",
    "L",
    "R",
    "S",
    "N",
    "L",
    "H",
    "S",
    "I",
    "H",
    "K",
    "H",
    "L",
    "A",
    "V",
    "A",
    "L",
    "F",
    "L",
    "S",
    "Q",
    "L",
    "V",
    "F",
    "V",
    "I",
    "G",
    "I",
    "N",
    "Q",
    "T",
    "E",
    "N",
    "P",
    "F",
    "L",
    "C",
    "T",
    "V",
    "V",
    "A",
    "I",
    "L",
    "L",
    "H",
    "Y",
    "I",
    "Y",
    "M",
    "S",
    "T",
    "F",
    "A",
    "W",
    "T",
    "L",
    "V",
    "E",
    "S",
    "L",
    "H",
    "V",
    "Y",
    "R",
    "M",
    "L",
    "T",
    "E",
    "V",
    "R",
    "N",
    "I",
    "D",
    "T",
    "G",
    "P",
    "M",
    "R",
    "F",
    "Y",
    "Y",
    "V",
    "V",
    "G",
    "W",
    "G",
    "I",
    "P",
    "A",
    "I",
    "V",
    "T",
    "G",
    "L",
    "A",
    "V",
    "G",
    "L",
    "D",
    "P",
    "Q",
    "G",
    "Y",
    "G",
    "N",
    "P",
    "D",
    "F",
    "C",
    "W",
    "L",
    "S",
    "L",
    "Q",
    "D",
    "T",
    "L",
    "I",
    "W",
    "S",
    "F",
    "A",
    "G",
    "P",
    "I",
    "G",
    "A",
    "V",
    "I",
    "I",
    "I",
    "N",
    "T",
    "V",
    "T",
    "S",
    "V",
    "L",
    "S",
    "A",
    "K",
    "V",
    "S",
    "C",
    "Q",
    "R",
    "K",
    "H",
    "H",
    "Y",
    "Y",
    "G",
    "K",
    "K",
    "G",
    "I",
    "V",
    "S",
    "L",
    "L",
    "R",
    "T",
    "A",
    "F",
    "L",
    "L",
    "L",
    "L",
    "L",
    "I",
    "S",
    "A",
    "T",
    "W",
    "L",
    "L",
    "G",
    "L",
    "L",
    "A",
    "V",
    "N",
    "R",
    "D",
    "A",
    "L",
    "S",
    "F",
    "H",
    "Y",
    "L",
    "F",
    "A",
    "I",
    "F",
    "S",
    "G",
    "L",
    "Q",
    "G",
    "P",
    "F",
    "V",
    "L",
    "L",
    "F",
    "H",
    "C",
    "V",
    "L",
    "N",
    "Q",
    "E",
    "V",
    "R",
    "K",
    "H",
    "L",
    "K",
    "G",
    "V",
    "L",
    "G",
    "G",
    "R",
    "K",
    "L",
    "H",
    "L",
    "E",
    "D",
    "S",
    "A",
    "T",
    "T",
    "R",
    "A",
    "T",
    "L",
    "L",
    "T",
    "R",
    "S",
    "L",
    "N",
    "C",
    "N",
    "T",
    "T",
    "F",
    "G",
    "D",
    "G",
    "P",
    "D",
    "M",
    "L",
    "R",
    "T",
    "D",
    "L",
    "G",
    "E",
    "S",
    "T",
    "A",
    "S",
    "L",
    "D",
    "S",
    "I",
    "V",
    "R",
    "D",
    "E",
    "G",
    "I",
    "Q",
    "K",
    "L",
    "G",
    "V",
    "S",
    "S",
    "G",
    "L",
    "V",
    "R",
    "G",
    "S",
    "H",
    "G",
    "E",
    "P",
    "D",
    "A",
    "S",
    "L",
    "M",
    "P",
    "R",
    "S",
    "C",
    "K",
    "D",
    "P",
    "P",
    "G",
    "H",
    "D",
    "S",
    "D",
    "S",
    "D",
    "S",
    "E",
    "L",
    "S",
    "L",
    "D",
    "E",
    "Q",
    "S",
    "S",
    "S",
    "Y",
    "A",
    "S",
    "S",
    "H",
    "S",
    "S",
    "D",
    "S",
    "E",
    "D",
    "D",
    "G",
    "V",
    "G",
    "A",
    "E",
    "E",
    "K",
    "W",
    "D",
    "P",
    "A",
    "R",
    "G",
    "A",
    "V",
    "H",
    "S",
    "T",
    "P",
    "K",
    "G",
    "D",
    "A",
    "V",
    "A",
    "N",
    "H",
    "V",
    "P",
    "A",
    "G",
    "W",
    "P",
    "D",
    "Q",
    "S",
    "L",
    "A",
    "E",
    "S",
    "D",
    "S",
    "E",
    "D",
    "P",
    "S",
    "G",
    "K",
    "P",
    "R",
    "L",
    "K",
    "V",
    "E",
    "T",
    "K",
    "V",
    "S",
    "V",
    "E",
    "L",
    "H",
    "R",
    "E",
    "E",
    "Q",
    "G",
    "S",
    "H",
    "R",
    "G",
    "E",
    "Y",
    "P",
    "P",
    "D",
    "Q",
    "E",
    "S",
    "G",
    "G",
    "A",
    "A",
    "R",
    "L",
    "A",
    "S",
    "S",
    "Q",
    "P",
    "P",
    "E",
    "Q",
    "R",
    "K",
    "G",
    "I",
    "L",
    "K",
    "N",
    "K",
    "V",
    "T",
    "Y",
    "P",
    "P",
    "P",
    "L",
    "T",
    "L",
    "T",
    "E",
    "Q",
    "T",
    "L",
    "K",
    "G",
    "R",
    "L",
    "R",
    "E",
    "K",
    "L",
    "A",
    "D",
    "C",
    "E",
    "Q",
    "S",
    "P",
    "T",
    "S",
    "S",
    "R",
    "T",
    "S",
    "S",
    "L",
    "G",
    "S",
    "G",
    "G",
    "P",
    "D",
    "C",
    "A",
    "I",
    "T",
    "V",
    "K",
    "S",
    "P",
    "G",
    "R",
    "E",
    "P",
    "G",
    "R",
    "D",
    "H",
    "L",
    "N",
    "G",
    "V",
    "A",
    "M",
    "N",
    "V",
    "R",
    "T",
    "G",
    "S",
    "A",
    "Q",
    "A",
    "D",
    "G",
    "S",
    "D",
    "S",
    "E",
    "K",
    "P"
  ],
  "backbone": [
    0.6453999999999998,
    0.6271999999999996,
    0.6296999999999997,
    0.6459999999999997,
    0.6689999999999997,
    0.7013999999999997,
    0.7394999999999999,
    0.7849999999999999,
    0.8346499999999998,
    0.8798500000000001,
    0.9033999999999999,
    0.9132499999999999,
    0.9264499999999999,
    0.9248,
    0.9136500000000001,
    0.90135,
    0.8877499999999999,
    0.8664,
    0.8399000000000001,
    0.8208999999999999,
    0.8102499999999999,
    0.7960999999999999,
    0.7896999999999998,
    0.7736999999999998,
    0.7723,
    0.7882999999999999,
    0.8011000000000003,
    0.8197,
    0.8220000000000001,
    0.8314999999999998,
    0.8389,
    0.8299999999999997,
    0.8009999999999997,
    0.7767999999999998,
    0.7560000000000001,
    0.7136999999999999,
    0.6874999999999999,
    0.6865999999999999,
    0.7156999999999999,
    0.7449000000000002,
    0.7686000000000001,
    0.7867999999999999,
    0.7943000000000001,
    0.7875000000000002,
    0.7776000000000004,
    0.7744000000000001,
    0.7772999999999999,
    0.8062000000000001,
    0.8248999999999997,
    0.8366000000000001,
    0.8157000000000002,
    0.7983,
    0.7756,
    0.7677,
    0.7782999999999998,
    0.7903999999999997,
    0.7974999999999997,
    0.7935999999999999,
    0.7935000000000002,
    0.8029000000000001,
    0.8092,
    0.8124999999999999,
    0.8118999999999998,
    0.8059,
    0.8075999999999998,
    0.8017999999999996,
    0.7818000000000002,
    0.7596999999999999,
    0.7589999999999999,
    0.7533,
    0.7417000000000002,
    0.7372,
    0.7271999999999998,
    0.7202999999999998,
    0.7211,
    0.7155999999999998,
    0.7225999999999997,
    0.7120999999999998,
    0.6910999999999999,
    0.6553,
    0.6140999999999998,
    0.6036,
    0.6120999999999995,
    0.6492999999999999,
    0.687,
    0.7318000000000001,
    0.7519000000000001,
    0.7956,
    0.8281999999999999,
    0.8418999999999999,
    0.8517,
    0.8435999999999998,
    0.8224999999999999,
    0.7880999999999999,
    0.7594,
    0.7420999999999998,
    0.7368999999999999,
    0.7380000000000001,
    0.7535999999999997,
    0.7585999999999999,
    0.7567999999999999,
    0.7718,
    0.7742000000000001,
    0.7818999999999999,
    0.7841000000000001,
    0.7720999999999999,
    0.7731,
    0.7762999999999998,
    0.7724,
    0.7702999999999999,
    0.7499999999999999,
    0.7309999999999999,
    0.7267999999999996,
    0.736,
    0.7517999999999998,
    0.7715999999999998,
    0.7938000000000001,
    0.8088,
    0.8137,
    0.8152999999999997,
    0.8092,
    0.7848999999999998,
    0.7775999999999996,
    0.7763,
    0.7872,
    0.8091000000000004,
    0.8352000000000003,
    0.8481000000000002,
    0.8367999999999999,
    0.8481000000000002,
    0.8644,
    0.8736999999999999,
    0.8798000000000001,
    0.8452999999999999,
    0.8068000000000001,
    0.7572,
    0.7203000000000002,
    0.7002999999999996,
    0.7136,
    0.7116,
    0.714,
    0.7275999999999999,
    0.7481999999999999,
    0.7607999999999998,
    0.7483,
    0.7383000000000001,
    0.7331000000000001,
    0.7265,
    0.7206999999999999,
    0.7154999999999999,
    0.7296,
    0.739,
    0.75,
    0.7393999999999997,
    0.7377999999999998,
    0.7398000000000002,
    0.7275999999999998,
    0.7234,
    0.6877,
    0.6649,
    0.6601999999999999,
    0.6543000000000001,
    0.6505000000000001,
    0.6447000000000004,
    0.6560999999999999,
    0.6676,
    0.6631999999999998,
    0.6664999999999998,
    0.6868999999999997,
    0.6995999999999999,
    0.7389999999999999,
    0.7569999999999995,
    0.7381999999999997,
    0.7123999999999996,
    0.6859999999999999,
    0.6748999999999997,
    0.7021999999999998,
    0.7448,
    0.8094000000000001,
    0.8590000000000001,
    0.9,
    0.9126000000000001,
    0.9274999999999998,
    0.9407999999999999,
    0.9448,
    0.9197999999999997,
    0.8886,
    0.8669999999999999,
    0.8363999999999998,
    0.8081,
    0.7965000000000002,
    0.7787999999999998,
    0.7868,
    0.8000999999999999,
    0.8192,
    0.8194,
    0.797,
    0.775,
    0.7737,
    0.7765000000000001,
    0.7514,
    0.7310000000000001,
    0.6948,
    0.6534999999999999,
    0.6143000000000001,
    0.5812999999999999,
    0.5647,
    0.5499999999999999,
    0.5258999999999998,
    0.4993999999999997,
    0.49319999999999986,
    0.47669999999999996,
    0.472,
    0.4827000000000001,
    0.49699999999999994,
    0.5102000000000001,
    0.5263000000000002,
    0.543,
    0.5556999999999999,
    0.5692,
    0.5790000000000001,
    0.5970999999999999,
    0.6078,
    0.6123999999999999,
    0.6106999999999999,
    0.5971,
    0.5994999999999999,
    0.5994999999999999,
    0.6068,
    0.6290999999999998,
    0.6382,
    0.6375,
    0.6253,
    0.6027,
    0.5895999999999999,
    0.5751999999999999,
    0.5665000000000001,
    0.5505,
    0.5548999999999998,
    0.5658000000000001,
    0.5920999999999998,
    0.6241000000000001,
    0.659,
    0.6949000000000001,
    0.7263000000000001,
    0.7343999999999998,
    0.7428999999999999,
    0.7404999999999999,
    0.7637999999999999,
    0.8014999999999999,
    0.8301999999999998,
    0.8414999999999999,
    0.8281,
    0.8241999999999997,
    0.8167000000000001,
    0.8029999999999998,
    0.7898999999999998,
    0.7892000000000001,
    0.7758000000000003,
    0.7770000000000002,
    0.7876000000000002,
    0.8057000000000002,
    0.8401999999999998,
    0.8497,
    0.8476999999999998,
    0.8456,
    0.8528000000000001,
    0.8507,
    0.8557999999999999,
    0.8655000000000002,
    0.8587999999999998,
    0.8422,
    0.8135000000000003,
    0.7860000000000003,
    0.7721999999999998,
    0.7820999999999997,
    0.8040000000000002,
    0.8309999999999997,
    0.8532999999999998,
    0.8752999999999997,
    0.8791999999999999,
    0.8838000000000001,
    0.8749,
    0.8746,
    0.8516999999999998,
    0.8269000000000001,
    0.8315,
    0.8463000000000002,
    0.8558,
    0.8297000000000004,
    0.8050000000000003,
    0.7863000000000002,
    0.7768999999999998,
    0.7781999999999999,
    0.8023000000000001,
    0.8175000000000003,
    0.8201999999999999,
    0.8117000000000001,
    0.7845000000000002,
    0.7551,
    0.7202000000000001,
    0.6990000000000001,
    0.7065999999999999,
    0.7216999999999999,
    0.7475,
    0.7689999999999999,
    0.7789999999999998,
    0.7835000000000001,
    0.7646,
    0.7639999999999998,
    0.7662,
    0.7824999999999999,
    0.7792,
    0.7661000000000002,
    0.7612000000000003,
    0.7808999999999999,
    0.8014000000000001,
    0.8400000000000001,
    0.8652000000000003,
    0.8708,
    0.8695000000000002,
    0.8685999999999996,
    0.8622000000000004,
    0.8339000000000003,
    0.8251000000000003,
    0.8179000000000001,
    0.8056,
    0.7864000000000001,
    0.7426000000000001,
    0.7168999999999999,
    0.6979,
    0.6874999999999999,
    0.6973000000000001,
    0.7077000000000003,
    0.7422000000000002,
    0.7671000000000002,
    0.8106999999999998,
    0.8513,
    0.8738000000000001,
    0.8894,
    0.8762000000000001,
    0.8520000000000002,
    0.8399999999999999,
    0.8111000000000002,
    0.7856000000000001,
    0.7458000000000001,
    0.7281000000000001,
    0.7394999999999999,
    0.7398000000000001,
    0.7624999999999998,
    0.7641999999999998,
    0.7882000000000001,
    0.8130999999999998,
    0.8027000000000001,
    0.7919999999999997,
    0.7887,
    0.8009000000000001,
    0.8150999999999998,
    0.8351000000000001,
    0.8359,
    0.8349000000000001,
    0.8308000000000002,
    0.8266000000000002,
    0.8002999999999998,
    0.7945000000000001,
    0.7883,
    0.7953000000000001,
    0.8028,
    0.8119,
    0.8607,
    0.8946000000000003,
    0.9099000000000002,
    0.8999,
    0.8980000000000001,
    0.8871999999999999,
    0.8532000000000001,
    0.8272000000000002,
    0.8000999999999997,
    0.7884999999999999,
    0.7825999999999995,
    0.7849999999999999,
    0.7748000000000002,
    0.7699999999999998,
    0.7861000000000001,
    0.805,
    0.8213,
    0.8350000000000002,
    0.8663,
    0.8926000000000002,
    0.9158,
    0.9068,
    0.8759999999999999,
    0.8330999999999998,
    0.7895000000000001,
    0.7886000000000001,
    0.8124999999999998,
    0.8550999999999996,
    0.8938999999999998,
    0.8963999999999999,
    0.8792000000000004,
    0.8375000000000001,
    0.8124999999999999,
    0.7873,
    0.7686000000000001,
    0.7353000000000002,
    0.71,
    0.7128000000000001,
    0.7603999999999999,
    0.7996000000000002,
    0.8174000000000001,
    0.8225000000000001,
    0.8362999999999998,
    0.8346000000000001,
    0.8366999999999998,
    0.8448,
    0.8512999999999997,
    0.8404999999999999,
    0.8247,
    0.8091000000000003,
    0.8129000000000001,
    0.8311999999999999,
    0.8582000000000001,
    0.8732,
    0.8857999999999996,
    0.87,
    0.8610999999999999,
    0.8494,
    0.8139,
    0.7752000000000002,
    0.7429000000000002,
    0.7286000000000002,
    0.6734000000000002,
    0.6287,
    0.6091000000000001,
    0.6021000000000002,
    0.5974999999999999,
    0.6017999999999999,
    0.6161,
    0.6556000000000002,
    0.678,
    0.7071000000000002,
    0.7415000000000002,
    0.7783000000000002,
    0.8116000000000001,
    0.8405999999999999,
    0.8567999999999998,
    0.8600999999999998,
    0.8570999999999999,
    0.8383,
    0.8246000000000001,
    0.7959000000000004,
    0.7617000000000003,
    0.7382000000000001,
    0.7453999999999998,
    0.7464,
    0.7637,
    0.7712000000000001,
    0.7907,
    0.7932000000000001,
    0.7888999999999999,
    0.7903000000000001,
    0.7918000000000001,
    0.8087000000000002,
    0.8404999999999997,
    0.8579999999999999,
    0.8604,
    0.8579,
    0.8462999999999999,
    0.8389999999999999,
    0.8314,
    0.8188000000000002,
    0.7857,
    0.7728000000000002,
    0.7866999999999997,
    0.8077,
    0.8537000000000001,
    0.8756000000000003,
    0.8978999999999999,
    0.9054000000000003,
    0.9069999999999999,
    0.8962,
    0.8750000000000001,
    0.8574000000000002,
    0.8443999999999998,
    0.8347999999999999,
    0.8121,
    0.7755999999999998,
    0.7413999999999998,
    0.7248000000000001,
    0.7259,
    0.7468999999999998,
    0.7702000000000002,
    0.8185,
    0.8644,
    0.8979000000000005,
    0.9046000000000001,
    0.8933000000000003,
    0.8563,
    0.8231999999999998,
    0.7806999999999998,
    0.7480999999999998,
    0.7391999999999997,
    0.7539999999999999,
    0.7550000000000002,
    0.7691999999999998,
    0.8001000000000001,
    0.8237000000000002,
    0.8582000000000001,
    0.8764000000000002,
    0.8734000000000001,
    0.8603000000000002,
    0.8316000000000003,
    0.8139000000000001,
    0.8158,
    0.8343000000000003,
    0.8684999999999999,
    0.8904999999999998,
    0.8944,
    0.8776000000000003,
    0.8569999999999999,
    0.8472999999999999,
    0.8564000000000002,
    0.8723000000000001,
    0.8839,
    0.8966,
    0.8964,
    0.8888000000000003,
    0.8898000000000001,
    0.8764000000000001,
    0.8804000000000003,
    0.868,
    0.8488000000000001,
    0.8305,
    0.8039000000000001,
    0.769,
    0.7510000000000002,
    0.7189000000000002,
    0.6737000000000001,
    0.6366999999999999,
    0.6386,
    0.6564999999999999,
    0.6737,
    0.6980000000000002,
    0.6992999999999999,
    0.7079,
    0.702,
    0.6960000000000001,
    0.6912000000000001,
    0.7182999999999999,
    0.7483,
    0.7918,
    0.8230000000000002,
    0.8319000000000001,
    0.8317,
    0.8418,
    0.8371999999999999,
    0.8396999999999999,
    0.8108000000000002,
    0.7864000000000001,
    0.7848000000000003,
    0.7862,
    0.8036999999999999,
    0.8065000000000001,
    0.8366,
    0.8528999999999998,
    0.8537000000000001,
    0.8511999999999998,
    0.8335999999999999,
    0.8246000000000001,
    0.8418999999999999,
    0.8429000000000001,
    0.8441000000000002,
    0.8524999999999999,
    0.8501,
    0.8434000000000003,
    0.8292000000000002,
    0.8109000000000004,
    0.7972999999999999,
    0.7670000000000002,
    0.7656,
    0.7608,
    0.7921,
    0.8271000000000003,
    0.8639000000000001,
    0.8878000000000001,
    0.9159999999999997,
    0.9078999999999998,
    0.8928999999999998,
    0.8766,
    0.8593,
    0.8371999999999997,
    0.7956,
    0.7588999999999998,
    0.7187000000000001,
    0.7021999999999999,
    0.7065,
    0.7298,
    0.767,
    0.7952999999999999,
    0.8289999999999998,
    0.8524999999999999,
    0.8638,
    0.8637999999999998,
    0.8551999999999998,
    0.8577000000000002,
    0.835,
    0.8072000000000001,
    0.7749000000000003,
    0.7491,
    0.7311,
    0.6975,
    0.6624000000000001,
    0.6115,
    0.5783,
    0.5572000000000001,
    0.5552999999999996,
    0.5636000000000001,
    0.5725000000000001,
    0.5840999999999997,
    0.5975,
    0.601,
    0.6136999999999998,
    0.6391,
    0.6427,
    0.673,
    0.6865,
    0.7251000000000001,
    0.7479000000000001,
    0.7591999999999999,
    0.7706000000000001,
    0.7701000000000001,
    0.7863000000000002,
    0.778,
    0.7589000000000001,
    0.74,
    0.7254000000000002,
    0.7427999999999999,
    0.7948999999999998,
    0.8446000000000002,
    0.8782,
    0.9012999999999997,
    0.9027999999999999,
    0.8763000000000001,
    0.8401,
    0.8170999999999999,
    0.8172,
    0.8047999999999998,
    0.7946,
    0.7953000000000003,
    0.8065000000000004,
    0.8194000000000001,
    0.8311,
    0.8271000000000003,
    0.8044000000000001,
    0.7842000000000002,
    0.7636999999999998,
    0.7590000000000003,
    0.7355000000000002,
    0.7325000000000005,
    0.7182000000000001,
    0.7118,
    0.6768999999999998,
    0.6353000000000001,
    0.6021000000000001,
    0.5742999999999997,
    0.57,
    0.5786999999999999,
    0.5722999999999999,
    0.5852999999999999,
    0.608,
    0.6446000000000002,
    0.6838000000000002,
    0.7202000000000001,
    0.7425999999999998,
    0.7799000000000001,
    0.7994000000000001,
    0.8218999999999999,
    0.8316000000000002,
    0.8109,
    0.7855,
    0.7519999999999998,
    0.7522999999999999,
    0.7514000000000003,
    0.7755000000000001,
    0.7717999999999999,
    0.7965000000000001,
    0.8185999999999999,
    0.8287000000000002,
    0.8334,
    0.8376000000000001,
    0.8682999999999998,
    0.8798999999999999,
    0.8823,
    0.8636999999999998,
    0.8489,
    0.8328000000000002,
    0.8329,
    0.8240999999999998,
    0.8115000000000002,
    0.7847000000000001,
    0.7698000000000003,
    0.7721999999999998,
    0.7642000000000002,
    0.7764000000000004,
    0.7908000000000001,
    0.8123000000000001,
    0.8279000000000001,
    0.8395999999999998,
    0.8284000000000001,
    0.8172999999999997,
    0.8167999999999996,
    0.8064999999999999,
    0.8026,
    0.7808000000000003,
    0.7817000000000001,
    0.7655000000000002,
    0.7742,
    0.7909999999999999,
    0.8316000000000001,
    0.8671000000000002,
    0.8886,
    0.8783999999999998,
    0.8481000000000001,
    0.8034999999999998,
    0.7643000000000001,
    0.7189999999999998,
    0.7054999999999999,
    0.716,
    0.7424000000000001,
    0.7633999999999999,
    0.7845999999999997,
    0.7972000000000002,
    0.8109999999999998,
    0.8111999999999998,
    0.7909000000000002,
    0.7709999999999999,
    0.7471,
    0.7172,
    0.6935000000000001,
    0.6812000000000002,
    0.6856999999999998,
    0.7262,
    0.785,
    0.8417999999999999,
    0.8768999999999999,
    0.8775999999999997,
    0.8659,
    0.8610999999999996,
    0.8605999999999999,
    0.8716000000000002,
    0.8774000000000004,
    0.8691000000000001,
    0.8603999999999999,
    0.8551,
    0.8517000000000003,
    0.8534000000000003,
    0.8746000000000002,
    0.8944999999999996,
    0.8983000000000002,
    0.8917000000000002,
    0.8682,
    0.8362000000000002,
    0.7977999999999997,
    0.7666000000000001,
    0.7174,
    0.6801,
    0.6494,
    0.6512999999999999,
    0.6723999999999997,
    0.6972000000000003,
    0.7407000000000001,
    0.7792000000000001,
    0.8159000000000002,
    0.8405,
    0.8499999999999998,
    0.8379999999999999,
    0.8199999999999998,
    0.7937000000000001,
    0.7968,
    0.7941,
    0.7721000000000002,
    0.7472000000000002,
    0.7306000000000001,
    0.7436999999999999,
    0.7521999999999999,
    0.7641,
    0.7628,
    0.7639999999999998,
    0.7528000000000002,
    0.7308000000000001,
    0.7112,
    0.7129,
    0.7297,
    0.7613,
    0.7756000000000001,
    0.7627999999999997,
    0.7477000000000005,
    0.7184000000000001,
    0.7109000000000002,
    0.7172000000000001,
    0.7214,
    0.7137000000000002,
    0.7010000000000002,
    0.6949000000000001,
    0.6956,
    0.7222000000000001,
    0.7462000000000001,
    0.761,
    0.7713,
    0.7727999999999998,
    0.7528999999999997,
    0.7303000000000003,
    0.7134,
    0.7067999999999997,
    0.7193999999999998,
    0.7257000000000001,
    0.7213999999999998,
    0.7079000000000002,
    0.7096000000000001,
    0.7241999999999997,
    0.7482000000000002,
    0.7792000000000002,
    0.8157000000000001,
    0.8410000000000002,
    0.8651000000000002,
    0.8671,
    0.8732,
    0.8632999999999997,
    0.8435000000000004,
    0.8281000000000002,
    0.8023000000000003,
    0.8031000000000001,
    0.7958,
    0.7983,
    0.7981999999999998,
    0.7914000000000003,
    0.7926000000000001,
    0.8021,
    0.7776999999999998,
    0.7504000000000001,
    0.7138,
    0.7123,
    0.7556999999999999,
    0.8044000000000001,
    0.8391999999999998,
    0.8625,
    0.8688,
    0.8765000000000001,
    0.8714000000000002,
    0.8746,
    0.8852000000000001,
    0.8799999999999998,
    0.8658000000000001,
    0.8454000000000002,
    0.8634000000000002,
    0.8833000000000002,
    0.9037000000000002,
    0.9149000000000004,
    0.9201,
    0.9227000000000001,
    0.9104,
    0.8862000000000001,
    0.855,
    0.8405000000000002,
    0.8146,
    0.7934999999999999,
    0.7645999999999997,
    0.7336999999999998,
    0.7223999999999999,
    0.7293999999999999,
    0.7439999999999999,
    0.7534999999999998,
    0.7642,
    0.8029000000000003,
    0.8321000000000003,
    0.8629000000000001,
    0.9082,
    0.9352999999999999,
    0.963,
    0.9725999999999999,
    0.9670999999999998,
    0.9457999999999998,
    0.929,
    0.8828999999999998,
    0.8365999999999999,
    0.8076,
    0.8095,
    0.7922999999999998,
    0.8118000000000003,
    0.8237000000000002,
    0.8569,
    0.8924000000000001,
    0.9188,
    0.9399999999999997,
    0.9437000000000001,
    0.9246000000000001,
    0.9074999999999999,
    0.8627000000000001,
    0.8160000000000001,
    0.8031000000000003,
    0.7847000000000002,
    0.7841000000000001,
    0.7680999999999999,
    0.7538999999999999,
    0.7233000000000003,
    0.7067000000000002,
    0.6899000000000001,
    0.6988,
    0.7364999999999999,
    0.7509,
    0.7604,
    0.7771,
    0.7847000000000001,
    0.7870999999999999,
    0.7659999999999999,
    0.7546999999999999,
    0.7513999999999998,
    0.7436999999999999,
    0.7117999999999999,
    0.6792,
    0.6351,
    0.6169999999999999,
    0.6149999999999997,
    0.6522000000000001,
    0.6876,
    0.7269000000000002,
    0.7697000000000003,
    0.7998999999999998,
    0.8180000000000002,
    0.8106999999999998,
    0.7746000000000001,
    0.7160999999999998,
    0.6570999999999998,
    0.6372,
    0.6415000000000002,
    0.6471000000000002,
    0.6463000000000001,
    0.6724999999999999,
    0.7117000000000001,
    0.7642000000000002,
    0.7960000000000002,
    0.8295,
    0.8394999999999999,
    0.8469999999999998,
    0.8315999999999997,
    0.8206000000000002,
    0.8025,
    0.7933999999999998,
    0.8314000000000001,
    0.863,
    0.8777999999999997,
    0.8842999999999999,
    0.873,
    0.8533999999999999,
    0.8371000000000001,
    0.8456,
    0.8519999999999999,
    0.8554999999999999,
    0.8462999999999997,
    0.8472000000000001,
    0.8743000000000001,
    0.9091,
    0.9287,
    0.9447000000000002,
    0.9494,
    0.9576999999999999,
    0.9490000000000002,
    0.9316,
    0.9004000000000001,
    0.8803000000000002,
    0.8597000000000002,
    0.8167000000000001,
    0.7607,
    0.7188,
    0.6859999999999999,
    0.6734999999999999,
    0.6988999999999999,
    0.6925999999999998,
    0.7084999999999999,
    0.7177000000000002,
    0.7399000000000003,
    0.7737,
    0.8257000000000001,
    0.8564999999999999,
    0.8844000000000002,
    0.9011000000000002,
    0.9046000000000003,
    0.9058000000000004,
    0.8940999999999999,
    0.8839000000000002,
    0.8666999999999998,
    0.8407,
    0.8228999999999997,
    0.8195999999999999,
    0.7933000000000001,
    0.7932,
    0.7786999999999997,
    0.8061999999999999,
    0.8363,
    0.8555000000000001,
    0.8711,
    0.8769999999999999,
    0.8754000000000001,
    0.8783,
    0.8701000000000001,
    0.8634000000000001,
    0.8558,
    0.8356000000000001,
    0.8009000000000003,
    0.7638,
    0.7254,
    0.7061000000000001,
    0.7009000000000003,
    0.7115999999999999,
    0.718,
    0.7550000000000001,
    0.7892000000000001,
    0.8137000000000001,
    0.8142000000000001,
    0.8070999999999999,
    0.8000999999999998,
    0.7781999999999998,
    0.7412000000000001,
    0.7143000000000002,
    0.7052999999999998,
    0.6836000000000001,
    0.6712999999999999,
    0.6548,
    0.669,
    0.683,
    0.7250000000000003,
    0.7641,
    0.8111999999999999,
    0.8532000000000001,
    0.8839999999999998,
    0.8904999999999997,
    0.8865999999999999,
    0.8732999999999996,
    0.8634000000000001,
    0.8326999999999999,
    0.8043,
    0.8062000000000001,
    0.8107000000000002,
    0.8329,
    0.8757999999999998,
    0.9175,
    0.9319,
    0.9460000000000001,
    0.9416000000000001,
    0.9164999999999998,
    0.8865000000000001,
    0.8524000000000004,
    0.8302999999999999,
    0.8386999999999996,
    0.8635999999999999,
    0.8769999999999999,
    0.8803,
    0.8836000000000002,
    0.8938999999999998,
    0.9038999999999999,
    0.9157000000000001,
    0.9299999999999996,
    0.9599999999999999,
    0.9584000000000001,
    0.9435000000000002,
    0.9367000000000001,
    0.9479000000000001,
    0.9545000000000002,
    0.9514000000000002,
    0.9506000000000003,
    0.9488,
    0.9418000000000001,
    0.93,
    0.9106000000000001,
    0.8863,
    0.8564999999999999,
    0.8315,
    0.8041999999999998,
    0.7913,
    0.7728999999999998,
    0.7868,
    0.8010000000000002,
    0.8159999999999997,
    0.8194000000000004,
    0.8387000000000004,
    0.8726,
    0.9053000000000001,
    0.9239,
    0.9263000000000001,
    0.91,
    0.8997,
    0.8737000000000003,
    0.8405,
    0.8071,
    0.7728999999999999,
    0.7565000000000001,
    0.7596,
    0.7617000000000002,
    0.7705,
    0.8055000000000001,
    0.8584000000000004,
    0.8869,
    0.9268000000000003,
    0.9438,
    0.9477000000000001,
    0.9372999999999999,
    0.9157999999999998,
    0.8895999999999998,
    0.8732000000000001,
    0.8557999999999997,
    0.8381999999999998,
    0.8259000000000003,
    0.8006,
    0.7701000000000001,
    0.7505000000000004,
    0.7273000000000003,
    0.7213000000000003,
    0.7205,
    0.7386999999999999,
    0.7615000000000002,
    0.7705000000000005,
    0.7566,
    0.7674,
    0.7748000000000002,
    0.7866000000000001,
    0.7869999999999998,
    0.7660000000000002,
    0.7450000000000002,
    0.7467999999999999,
    0.7551999999999999,
    0.7768999999999998,
    0.7722000000000002,
    0.7797999999999999,
    0.7763,
    0.7794000000000001,
    0.7789999999999997,
    0.7792999999999999,
    0.7902000000000001,
    0.8080999999999997,
    0.8366999999999998,
    0.8655,
    0.8703999999999997,
    0.8613999999999999,
    0.8430000000000001,
    0.8301000000000003,
    0.8348000000000003,
    0.8594000000000003,
    0.8800999999999999,
    0.8946999999999999,
    0.887,
    0.8741999999999996,
    0.8586999999999998,
    0.8508999999999998,
    0.8349999999999999,
    0.7970000000000002,
    0.7730000000000002,
    0.7575999999999998,
    0.7582,
    0.7875000000000001,
    0.8021,
    0.8098999999999998,
    0.8155,
    0.8143000000000001,
    0.8087000000000003,
    0.8088000000000001,
    0.795,
    0.776,
    0.7515999999999998,
    0.7334999999999999,
    0.7497000000000001,
    0.7646000000000004,
    0.7907000000000004,
    0.8025000000000002,
    0.8074999999999999,
    0.8115,
    0.8166000000000002,
    0.8172999999999999,
    0.8045999999999999,
    0.7786000000000003,
    0.7726000000000002,
    0.7530000000000001,
    0.7386000000000004,
    0.7301000000000001,
    0.7525999999999998,
    0.7882,
    0.8183000000000002,
    0.8482000000000001,
    0.8694000000000001,
    0.8933000000000003,
    0.9173,
    0.9343,
    0.9359000000000003,
    0.9414,
    0.9547,
    0.9604000000000001,
    0.9617999999999997,
    0.9493000000000003,
    0.9453,
    0.9500000000000002,
    0.9559000000000001,
    0.9303000000000002,
    0.9037,
    0.8960999999999999,
    0.8860000000000001,
    0.8926000000000001,
    0.9055999999999997,
    0.9331,
    0.9604999999999999,
    0.9556999999999995,
    0.9356,
    0.9122999999999999,
    0.8884000000000001,
    0.8568000000000001,
    0.8403999999999997,
    0.8337999999999997,
    0.8318000000000001,
    0.8436999999999999,
    0.8659000000000002,
    0.8853,
    0.9104000000000002,
    0.9153000000000003,
    0.9144000000000002,
    0.9138999999999999,
    0.9133000000000004,
    0.9119,
    0.9128000000000002,
    0.9187999999999998,
    0.9158000000000001,
    0.8977000000000003,
    0.8778,
    0.8698000000000002,
    0.8678000000000003,
    0.8638000000000001,
    0.8558000000000002,
    0.8541000000000001,
    0.8448000000000002,
    0.8451000000000002,
    0.8595000000000003,
    0.8887000000000002,
    0.9211,
    0.9427999999999999,
    0.9521000000000001,
    0.9654999999999998,
    0.9719000000000001,
    0.9558000000000001,
    0.9175,
    0.8948999999999998,
    0.8692,
    0.8679999999999997,
    0.8830999999999999,
    0.8787,
    0.8794,
    0.8588,
    0.8363999999999999,
    0.8245,
    0.8211999999999999,
    0.8335,
    0.8580999999999996,
    0.8808000000000004,
    0.9111999999999999,
    0.9235000000000001,
    0.9205000000000002,
    0.8866,
    0.8430000000000002,
    0.8101,
    0.7876,
    0.7544000000000002,
    0.7192999999999999,
    0.7075000000000002,
    0.7227,
    0.7436999999999998,
    0.7501,
    0.7659,
    0.7928,
    0.8090999999999999,
    0.8092999999999998,
    0.8244999999999998,
    0.8282999999999998,
    0.838,
    0.8514,
    0.8707,
    0.8956,
    0.9068000000000002,
    0.9221000000000003,
    0.9239999999999999,
    0.9086,
    0.9000000000000001,
    0.8893000000000001,
    0.8811,
    0.8806999999999999,
    0.8757000000000004,
    0.8792000000000002,
    0.8831000000000003,
    0.8796000000000002,
    0.8725,
    0.8721999999999999,
    0.8650000000000001,
    0.8601999999999997,
    0.8820999999999998,
    0.8683000000000001,
    0.8721000000000001,
    0.8932000000000001,
    0.9064000000000001,
    0.9082,
    0.9079999999999999,
    0.8966000000000004,
    0.9018999999999996,
    0.9134999999999999,
    0.9091,
    0.8959,
    0.8853999999999999,
    0.8877000000000003,
    0.885,
    0.8841000000000001,
    0.8851000000000001,
    0.9092000000000002,
    0.9342,
    0.9475000000000002,
    0.9420000000000001,
    0.9152999999999997,
    0.8985999999999998,
    0.8776000000000003,
    0.8788,
    0.8713,
    0.8391,
    0.8132000000000001,
    0.7683999999999997,
    0.7506000000000002,
    0.7601000000000001,
    0.7806999999999998,
    0.7836999999999998,
    0.7892999999999999,
    0.7894000000000001,
    0.8109999999999998,
    0.8366,
    0.8471999999999998,
    0.8603999999999999,
    0.8555999999999997,
    0.8621,
    0.8495,
    0.8420000000000001,
    0.8477999999999999,
    0.8405000000000001,
    0.8202000000000005,
    0.7829000000000002,
    0.7732000000000002,
    0.7887000000000001,
    0.8099999999999998,
    0.8417000000000003,
    0.8316000000000001,
    0.8229,
    0.7768999999999999,
    0.7405,
    0.7261000000000001,
    0.7322999999999998,
    0.7438000000000001,
    0.7554999999999998,
    0.8044999999999999,
    0.8509000000000001,
    0.8914000000000002,
    0.8953000000000003,
    0.9060000000000002,
    0.9050000000000004,
    0.9203000000000002,
    0.9451999999999999,
    0.9245000000000001,
    0.9054,
    0.8945999999999997,
    0.8710999999999999,
    0.8595999999999999,
    0.8137,
    0.7817000000000004,
    0.7340000000000001,
    0.7145,
    0.7096999999999998,
    0.7281,
    0.7562,
    0.7843999999999999,
    0.7836000000000002,
    0.7577000000000002,
    0.7321,
    0.7068000000000003,
    0.6964000000000001,
    0.7091,
    0.7638999999999998,
    0.8212000000000002,
    0.8706000000000002,
    0.8842000000000001,
    0.8928000000000001,
    0.8845000000000002,
    0.8749999999999999,
    0.8542000000000002,
    0.8283000000000003,
    0.8099999999999998,
    0.7908000000000002,
    0.8163,
    0.8480000000000004,
    0.8769000000000005,
    0.8883000000000001,
    0.8848999999999999,
    0.8747000000000001,
    0.8406000000000001,
    0.8108000000000003,
    0.78,
    0.7883,
    0.8056999999999997,
    0.8166999999999999,
    0.8221,
    0.7958999999999999,
    0.7928999999999994,
    0.7960999999999998,
    0.7987,
    0.7685,
    0.7594,
    0.7485000000000003,
    0.7632999999999998,
    0.8314,
    0.8876000000000001,
    0.9068999999999999,
    0.9054999999999999,
    0.8837000000000002,
    0.8654,
    0.8470000000000002,
    0.8146000000000001,
    0.82,
    0.8453000000000003,
    0.8738999999999998,
    0.8898999999999998,
    0.8768999999999998,
    0.8599999999999998,
    0.8072000000000003,
    0.7725000000000001,
    0.7504000000000001,
    0.7650999999999997,
    0.7905,
    0.8085000000000001,
    0.8322000000000002,
    0.8362,
    0.8678999999999997,
    0.8819000000000002,
    0.8744000000000002,
    0.8675999999999999,
    0.8552,
    0.8352999999999998,
    0.8127,
    0.8009,
    0.7988000000000002,
    0.7958999999999997,
    0.8046,
    0.8014999999999998,
    0.8156000000000001,
    0.8455999999999998,
    0.8775999999999999,
    0.8866,
    0.8752,
    0.8563000000000002,
    0.8350000000000002,
    0.8291000000000002,
    0.8257000000000005,
    0.8525,
    0.8644000000000002,
    0.8828999999999999,
    0.9142,
    0.9322000000000001,
    0.9308000000000001,
    0.9174,
    0.9060999999999999,
    0.8980999999999997,
    0.8978999999999997,
    0.8925000000000001,
    0.8855000000000001,
    0.8833999999999999,
    0.8748999999999999,
    0.8637000000000001,
    0.8533000000000001,
    0.8508000000000001,
    0.8390000000000001,
    0.8461000000000002,
    0.8654000000000001,
    0.8802999999999999,
    0.8638,
    0.8419999999999997,
    0.8149,
    0.8013,
    0.7995999999999998,
    0.8111000000000003,
    0.8286000000000001,
    0.8535999999999999,
    0.9007999999999999,
    0.9337999999999999,
    0.9360000000000002,
    0.9301,
    0.9257,
    0.9095,
    0.9127,
    0.9181,
    0.9293999999999998,
    0.9281,
    0.9076000000000001,
    0.8942000000000001,
    0.8793,
    0.8731,
    0.8672000000000001,
    0.8512000000000001,
    0.8228000000000002,
    0.7685000000000003,
    0.7396000000000003,
    0.7139000000000003,
    0.7338000000000001,
    0.7597999999999998,
    0.7764000000000001,
    0.7874000000000002,
    0.7928,
    0.7861000000000001,
    0.7766000000000003,
    0.7712999999999998,
    0.7595999999999999,
    0.7411999999999997,
    0.7125,
    0.6853999999999999,
    0.6601999999999998,
    0.6602000000000001,
    0.6717,
    0.6773000000000002,
    0.6882,
    0.7316,
    0.7648,
    0.8106999999999999,
    0.8226000000000001,
    0.8346999999999997,
    0.8342999999999999,
    0.8399000000000001,
    0.8353,
    0.8243999999999999,
    0.8038000000000001,
    0.7737999999999999,
    0.7589000000000002,
    0.7217,
    0.7083000000000003,
    0.6992000000000002,
    0.6897000000000002,
    0.6942,
    0.6865000000000001,
    0.6687,
    0.6729,
    0.6656999999999998,
    0.6469,
    0.6178,
    0.6080000000000002,
    0.6134999999999997,
    0.6254000000000003,
    0.6708000000000003,
    0.7149000000000001,
    0.7600000000000002,
    0.8010999999999999,
    0.8362999999999999,
    0.8645999999999999,
    0.8771000000000003,
    0.8902000000000002,
    0.8903000000000001,
    0.8860000000000001,
    0.889,
    0.8892000000000002,
    0.8780000000000001,
    0.8803000000000002,
    0.8796999999999998,
    0.8811,
    0.8868,
    0.8789,
    0.8598,
    0.8462000000000002,
    0.8351,
    0.8333000000000004,
    0.8103000000000004,
    0.7935000000000002,
    0.7908,
    0.8105000000000002,
    0.8251000000000001,
    0.8154000000000001,
    0.7890000000000001,
    0.759,
    0.7168999999999998,
    0.6907999999999999,
    0.6921999999999998,
    0.6978999999999996,
    0.6943999999999998,
    0.6940999999999995,
    0.7025999999999999,
    0.7145000000000002,
    0.7229,
    0.7325,
    0.7579999999999999,
    0.7705000000000001,
    0.7763,
    0.7823000000000002,
    0.7671999999999999,
    0.7609999999999999,
    0.7719000000000004,
    0.7583000000000003,
    0.7322000000000002,
    0.7138999999999999,
    0.6875000000000001,
    0.6922,
    0.7018000000000002,
    0.6970000000000001,
    0.7144000000000001,
    0.7272,
    0.7588999999999999,
    0.7795999999999998,
    0.7927000000000001,
    0.8131000000000003,
    0.8228000000000002,
    0.8307,
    0.8444999999999997,
    0.8490000000000001,
    0.8587000000000005,
    0.8568000000000002,
    0.8445000000000004,
    0.8380999999999998,
    0.8388,
    0.8336000000000002,
    0.8271,
    0.8201000000000002,
    0.8115,
    0.8016000000000003,
    0.8026000000000002,
    0.7912999999999999,
    0.7753000000000002,
    0.7665000000000002,
    0.7840999999999998,
    0.8180000000000002,
    0.8342999999999999,
    0.8371000000000002,
    0.8218000000000001,
    0.8150000000000002,
    0.8235999999999998,
    0.8181999999999999,
    0.7957000000000003,
    0.7798999999999999,
    0.7575000000000001,
    0.7482,
    0.7578000000000001,
    0.7599000000000004,
    0.7726999999999999,
    0.7912000000000001,
    0.8153999999999997,
    0.8220000000000002,
    0.8359000000000002,
    0.8313999999999999,
    0.8425000000000001,
    0.8507,
    0.8593000000000003,
    0.8699999999999999,
    0.8537000000000001,
    0.8174000000000001,
    0.8013000000000001,
    0.7928999999999999,
    0.7854000000000002,
    0.7588000000000001,
    0.7333999999999998,
    0.7241000000000001,
    0.7513999999999997,
    0.7992999999999997,
    0.8480999999999999,
    0.8855,
    0.8898,
    0.8961000000000001,
    0.9014000000000002,
    0.9244000000000001,
    0.9330000000000002,
    0.9546999999999997,
    0.9614000000000001,
    0.9686999999999999,
    0.9669999999999999,
    0.9543999999999999,
    0.9165999999999999,
    0.8866000000000002,
    0.8454000000000002,
    0.7956999999999999,
    0.7604000000000002,
    0.7346,
    0.7494000000000002,
    0.7751000000000002,
    0.7901,
    0.7923,
    0.7831,
    0.7571,
    0.7694,
    0.7856,
    0.7911000000000001,
    0.7916999999999998,
    0.789,
    0.7900000000000001,
    0.7947999999999998,
    0.7776000000000001,
    0.7611000000000001,
    0.7638999999999999,
    0.7841000000000001,
    0.8048999999999996,
    0.8282999999999999,
    0.8354000000000001,
    0.8515,
    0.8710000000000001,
    0.8934000000000001,
    0.8955000000000003,
    0.9121000000000001,
    0.9218,
    0.9479000000000001,
    0.9678000000000001,
    0.9679999999999997,
    0.9775999999999999,
    0.9754000000000003,
    0.9730000000000002,
    0.9652999999999998,
    0.9420999999999999,
    0.9284,
    0.9149999999999999,
    0.9124,
    0.9133,
    0.8923000000000001,
    0.8796000000000003,
    0.8619000000000001,
    0.8638000000000002,
    0.8625000000000002,
    0.8623000000000003,
    0.8310999999999997,
    0.8221999999999999,
    0.8042000000000001,
    0.8023999999999999,
    0.7975999999999998,
    0.7646000000000001,
    0.7372,
    0.6860999999999998,
    0.6595999999999999,
    0.6578999999999999,
    0.7022,
    0.7561999999999997,
    0.7985,
    0.8349000000000001,
    0.8603,
    0.8838999999999999,
    0.8831000000000003,
    0.8699000000000001,
    0.8608000000000002,
    0.8424000000000003,
    0.8225,
    0.824,
    0.8274,
    0.8324,
    0.8278,
    0.8159000000000002,
    0.7834000000000001,
    0.7342,
    0.7053,
    0.6849999999999998,
    0.6934999999999998,
    0.7136,
    0.7509000000000002,
    0.7769999999999998,
    0.7894000000000002,
    0.7847000000000003,
    0.7858,
    0.7855999999999999,
    0.7759999999999999,
    0.7572999999999999,
    0.7412,
    0.7474,
    0.7589000000000002,
    0.7666999999999999,
    0.7657000000000002,
    0.7627000000000004,
    0.7495999999999999,
    0.7710000000000001,
    0.8093,
    0.8847,
    0.9201000000000001,
    0.9357000000000002,
    0.92,
    0.9082000000000001,
    0.8873000000000001,
    0.8602000000000002,
    0.8377999999999999,
    0.8070999999999999,
    0.7937999999999998,
    0.7937,
    0.8022999999999999,
    0.7965000000000001,
    0.7637,
    0.7565999999999999,
    0.7716000000000001,
    0.8089000000000003,
    0.8458,
    0.8722000000000002,
    0.8858,
    0.8756,
    0.8566999999999999,
    0.8574999999999999,
    0.8493000000000002,
    0.8543,
    0.8339000000000001,
    0.8248,
    0.8222999999999997,
    0.8160999999999999,
    0.7988999999999998,
    0.7731000000000001,
    0.7815999999999999,
    0.7916999999999998,
    0.8025,
    0.7775,
    0.7383000000000002,
    0.7207000000000001,
    0.7286000000000001,
    0.7485000000000002,
    0.7647000000000002,
    0.7817000000000004,
    0.8037,
    0.8377000000000001,
    0.8626000000000001,
    0.8641000000000001,
    0.8486,
    0.833,
    0.8101999999999999,
    0.7726000000000001,
    0.7212999999999998,
    0.6913999999999999,
    0.6936000000000001,
    0.7140999999999998,
    0.7490999999999999,
    0.7905,
    0.8115000000000003,
    0.8254,
    0.8271999999999999,
    0.8386000000000001,
    0.834,
    0.8133000000000004,
    0.7948000000000005,
    0.7836000000000002,
    0.7876000000000002,
    0.793,
    0.7908000000000002,
    0.7841000000000001,
    0.7632000000000001,
    0.7370000000000002,
    0.7388999999999999,
    0.7364000000000002,
    0.7139000000000002,
    0.6885,
    0.6849000000000001,
    0.7138000000000001,
    0.7289999999999999,
    0.7707,
    0.7906000000000003,
    0.8241999999999998,
    0.8429999999999997,
    0.837,
    0.8299000000000001,
    0.8107000000000001,
    0.8011000000000001,
    0.7942000000000001,
    0.7948,
    0.8048000000000001,
    0.8291000000000001,
    0.8381,
    0.8386000000000001,
    0.8337000000000002,
    0.8194000000000001,
    0.7949,
    0.7782,
    0.7550999999999999,
    0.7468000000000002,
    0.7548000000000001,
    0.7665,
    0.7729000000000004,
    0.7668000000000001,
    0.7423000000000003,
    0.7347,
    0.7232000000000004,
    0.6943999999999999,
    0.6818000000000002,
    0.6700999999999999,
    0.6713000000000002,
    0.6658000000000001,
    0.6502999999999999,
    0.6563000000000003,
    0.6864999999999998,
    0.7248,
    0.7771,
    0.8122000000000003,
    0.8314,
    0.8203000000000005,
    0.8398,
    0.8583,
    0.8761000000000001,
    0.8878,
    0.8928999999999998,
    0.9007999999999997,
    0.9249000000000002,
    0.9270000000000002,
    0.9061,
    0.8787000000000001,
    0.8358000000000003,
    0.8268999999999999,
    0.8343000000000002,
    0.8341999999999996,
    0.8485999999999999,
    0.879,
    0.9125000000000002,
    0.9212,
    0.9378000000000002,
    0.9142000000000002,
    0.9077999999999998,
    0.9017999999999998,
    0.8678,
    0.8606999999999999,
    0.8500000000000001,
    0.8442999999999999,
    0.8249000000000003,
    0.7883000000000001,
    0.7696000000000002,
    0.7665000000000002,
    0.7820999999999999,
    0.7941999999999998,
    0.7823000000000001,
    0.7393000000000002,
    0.6949000000000001,
    0.6542000000000002,
    0.6215,
    0.6236000000000002,
    0.6275000000000001,
    0.6506000000000002,
    0.6771000000000003,
    0.718,
    0.7531999999999996,
    0.7768,
    0.7715000000000003,
    0.7352,
    0.6992000000000002,
    0.6935,
    0.7056999999999999,
    0.7278999999999997,
    0.7578999999999998,
    0.7689,
    0.7976,
    0.8339999999999999,
    0.8527999999999999,
    0.8414000000000003,
    0.8257000000000002,
    0.8157,
    0.8327000000000001,
    0.8386999999999998,
    0.8334999999999998,
    0.8198000000000001,
    0.8201,
    0.7966000000000001,
    0.7942000000000004,
    0.7867000000000004,
    0.7820000000000001,
    0.7866000000000001,
    0.7719000000000004,
    0.7689000000000001,
    0.7694000000000001,
    0.7813000000000004,
    0.7829000000000003,
    0.7866000000000002,
    0.792,
    0.8247000000000001,
    0.8429000000000002,
    0.8417000000000002,
    0.8206000000000002,
    0.7903000000000002,
    0.762,
    0.7374999999999999,
    0.7285999999999999,
    0.7509000000000001,
    0.7826999999999998,
    0.7994000000000001,
    0.8035000000000002,
    0.8055000000000002,
    0.7731,
    0.7583000000000002,
    0.7667999999999997,
    0.7645000000000001,
    0.7809999999999999,
    0.8121999999999999,
    0.8512999999999998,
    0.8670999999999998,
    0.8877999999999997,
    0.8786999999999999,
    0.8814999999999998,
    0.8969000000000003,
    0.9149999999999997,
    0.9256000000000001,
    0.9323000000000001,
    0.9106000000000001,
    0.8950000000000004,
    0.8817000000000002,
    0.8834000000000003,
    0.8875000000000001,
    0.8805000000000002,
    0.8641,
    0.8483000000000003,
    0.8446,
    0.8553,
    0.8387999999999998,
    0.8136,
    0.7763999999999998,
    0.7170000000000003,
    0.6982000000000004,
    0.6828999999999998,
    0.7001000000000001,
    0.7206999999999999,
    0.7370000000000002,
    0.7503000000000001,
    0.7806000000000002,
    0.8026000000000003,
    0.8072999999999999,
    0.7707,
    0.7479,
    0.7459,
    0.7496,
    0.7646,
    0.7978999999999998,
    0.8243000000000001,
    0.8349999999999996,
    0.8177000000000003,
    0.8007000000000003,
    0.7987000000000001,
    0.8089000000000001,
    0.8104000000000003,
    0.8197000000000003,
    0.8184999999999999,
    0.8222000000000002,
    0.8328000000000001,
    0.8314000000000002,
    0.8290999999999997,
    0.8402000000000001,
    0.8410999999999998,
    0.8353999999999999,
    0.8330999999999998,
    0.8469000000000003,
    0.8627000000000001,
    0.8837999999999999,
    0.9103000000000002,
    0.9160000000000003,
    0.9174000000000001,
    0.9128999999999998,
    0.929,
    0.9459000000000003,
    0.9576000000000001,
    0.9601999999999997,
    0.9471999999999997,
    0.9164000000000002,
    0.8779999999999998,
    0.8560999999999999,
    0.8606000000000001,
    0.8523,
    0.8624999999999998,
    0.8758999999999998,
    0.8839,
    0.8790000000000002,
    0.8776,
    0.8669999999999999,
    0.8877,
    0.9134000000000003,
    0.9355000000000002,
    0.913,
    0.8989000000000001,
    0.8729000000000001,
    0.8302000000000002,
    0.8069999999999998,
    0.7836000000000004,
    0.7721,
    0.7587000000000002,
    0.7528000000000002,
    0.7448999999999998,
    0.7612,
    0.7549999999999999,
    0.7545000000000001,
    0.7321999999999999,
    0.7012000000000004,
    0.676,
    0.6698999999999999,
    0.6750000000000002,
    0.6804000000000001,
    0.6970000000000001,
    0.7152999999999999,
    0.7504000000000001,
    0.7692999999999999,
    0.7797,
    0.7775000000000002,
    0.7441000000000002,
    0.7078000000000001,
    0.6999000000000002,
    0.7098,
    0.7282,
    0.7488999999999999,
    0.7773,
    0.8004000000000002,
    0.8079000000000003,
    0.8157000000000002,
    0.8379999999999999,
    0.8511000000000003,
    0.8768000000000001,
    0.9050000000000004,
    0.913,
    0.9295,
    0.9162,
    0.9159,
    0.9257,
    0.9357999999999996,
    0.9314000000000003,
    0.9077,
    0.8725000000000002,
    0.8371999999999996,
    0.8230000000000001,
    0.8071,
    0.8033999999999999,
    0.7843999999999999,
    0.7765000000000001,
    0.7635999999999998,
    0.7563000000000001,
    0.7596,
    0.7699999999999998,
    0.7832999999999997,
    0.8009999999999998,
    0.8165000000000002,
    0.8136000000000001,
    0.7933,
    0.7969000000000003,
    0.8058000000000003,
    0.8411000000000001,
    0.8588999999999998,
    0.8667999999999998,
    0.8756000000000002,
    0.8682000000000001,
    0.8530000000000001,
    0.8328000000000001,
    0.7975000000000001,
    0.7637000000000002,
    0.7303999999999999,
    0.7165000000000001,
    0.7161999999999998,
    0.7284,
    0.7367999999999999,
    0.7370999999999998,
    0.7390999999999998,
    0.7534999999999998,
    0.7662000000000001,
    0.7709,
    0.7712999999999998,
    0.8000999999999998,
    0.8331999999999999,
    0.8639000000000001,
    0.8642000000000002,
    0.8631,
    0.8667999999999998,
    0.8596999999999999,
    0.8548999999999999,
    0.8405,
    0.8203999999999999,
    0.8047999999999998,
    0.8167999999999999,
    0.8225999999999999,
    0.8247000000000001,
    0.8361000000000002,
    0.8417000000000003,
    0.8406000000000001,
    0.8267999999999999,
    0.8137000000000001,
    0.8122000000000001,
    0.8038000000000003,
    0.7934000000000001,
    0.8096,
    0.8229000000000001,
    0.8048999999999998,
    0.7840999999999999,
    0.7692999999999998,
    0.7703999999999998,
    0.7638999999999999,
    0.7654999999999998,
    0.7643,
    0.7762,
    0.7809999999999999,
    0.8064999999999998,
    0.8109,
    0.8217999999999999,
    0.8241000000000003,
    0.8161000000000003,
    0.7934,
    0.7544999999999998,
    0.7323000000000006,
    0.7232999999999999,
    0.7198999999999999,
    0.7284,
    0.7381000000000002,
    0.7459999999999998,
    0.7541999999999996,
    0.7654999999999997,
    0.7770999999999998,
    0.7909000000000002,
    0.7968000000000002,
    0.8172999999999998,
    0.8375999999999999,
    0.8373999999999999,
    0.8337,
    0.8218999999999997,
    0.7929999999999997,
    0.7704999999999999,
    0.7307,
    0.7079999999999999,
    0.6917,
    0.7138999999999999,
    0.7406000000000001,
    0.7811000000000001,
    0.8099999999999999,
    0.8337,
    0.8498999999999999,
    0.8615999999999999,
    0.8588999999999998,
    0.8505,
    0.8369,
    0.8293,
    0.8337999999999999,
    0.8388999999999999,
    0.8400999999999996,
    0.8327999999999999,
    0.8277000000000001,
    0.8404,
    0.8465,
    0.8542000000000001,
    0.8839999999999999,
    0.8972000000000004,
    0.9234,
    0.9281000000000003,
    0.9379000000000001,
    0.9564999999999999,
    0.9622999999999999,
    0.9736999999999998,
    0.9839999999999999,
    0.9949999999999997,
    1.0156,
    1.0090000000000003,
    0.9929000000000002,
    0.9803,
    0.9751000000000001,
    0.974,
    0.9781000000000002,
    0.9892999999999998,
    0.9910999999999999,
    0.9995000000000003,
    1.0030999999999997,
    0.9939999999999997,
    0.9712999999999999,
    0.9610999999999998,
    0.9367000000000001,
    0.9115999999999999,
    0.8890000000000001,
    0.8769000000000002,
    0.8503999999999998,
    0.8221999999999999,
    0.8045000000000002,
    0.8116,
    0.8315999999999998,
    0.8209999999999996,
    0.8280999999999998,
    0.8284999999999999,
    0.8271,
    0.8129,
    0.8046999999999996,
    0.8091,
    0.8155999999999997,
    0.8062999999999999,
    0.7905000000000001,
    0.7698000000000003,
    0.7501000000000001,
    0.7321000000000002,
    0.7315000000000002,
    0.7252,
    0.7126999999999999,
    0.6908999999999998,
    0.6940999999999999,
    0.6925000000000001,
    0.7021000000000001,
    0.7006,
    0.7138,
    0.7213999999999998,
    0.7107999999999998,
    0.7104999999999997,
    0.6954999999999998,
    0.6697000000000002,
    0.6618999999999998,
    0.6541,
    0.6531999999999999,
    0.6398999999999999,
    0.6298000000000001,
    0.6361999999999999,
    0.6231999999999998,
    0.6382,
    0.6539,
    0.6519999999999999,
    0.6338,
    0.6010000000000001,
    0.5706,
    0.5730000000000001,
    0.5822000000000002,
    0.5926999999999999,
    0.5886,
    0.5907999999999999,
    0.5942999999999998,
    0.5943999999999998,
    0.5849,
    0.5711999999999998,
    0.5293999999999999,
    0.5132,
    0.5095,
    0.5376999999999998,
    0.5741999999999999,
    0.6219999999999999,
    0.6628,
    0.6747,
    0.6895000000000004,
    0.6846999999999999,
    0.6967999999999999,
    0.6879,
    0.6718999999999998,
    0.67,
    0.6692000000000001,
    0.6669,
    0.6698999999999999,
    0.6904,
    0.6975,
    0.6895999999999998,
    0.6800999999999998,
    0.6897999999999999,
    0.7345999999999998,
    0.7971,
    0.8555999999999999,
    0.8983999999999999,
    0.9265999999999999,
    0.9383000000000002,
    0.9540999999999998,
    0.9522999999999999,
    0.9349000000000001,
    0.9257,
    0.9081,
    0.8783,
    0.8445999999999998,
    0.8055,
    0.7821999999999999,
    0.7875999999999999,
    0.7993999999999999,
    0.7896999999999998,
    0.7911999999999999,
    0.7944999999999999,
    0.8089,
    0.8209000000000001,
    0.7999000000000003,
    0.7965000000000001,
    0.7720000000000002,
    0.749,
    0.7441999999999999,
    0.7270000000000001,
    0.7226999999999997,
    0.7284,
    0.7320000000000002,
    0.7401,
    0.7370999999999999,
    0.7181999999999998,
    0.7138999999999998,
    0.7111999999999999,
    0.7182,
    0.7213,
    0.7296,
    0.7500999999999999,
    0.7716999999999997,
    0.775,
    0.7822999999999999,
    0.7920999999999999,
    0.7922000000000001,
    0.7785,
    0.7391999999999999,
    0.7143,
    0.683,
    0.6750999999999998,
    0.6798999999999998,
    0.7069,
    0.7201000000000003,
    0.7488,
    0.7628000000000001,
    0.7833999999999999,
    0.8069999999999999,
    0.8353000000000002,
    0.8581999999999999,
    0.8954999999999999,
    0.917,
    0.9421999999999999,
    0.9642000000000002,
    0.9575000000000002,
    0.9447999999999999,
    0.9339999999999998,
    0.9188000000000003,
    0.9209000000000002,
    0.9148000000000001,
    0.8851000000000001,
    0.8745,
    0.8666000000000003,
    0.8594999999999999,
    0.8747999999999999,
    0.8851999999999999,
    0.9211,
    0.9391999999999998,
    0.9401000000000003,
    0.9273000000000002,
    0.9170000000000003,
    0.915,
    0.8939999999999997,
    0.8843,
    0.8651,
    0.8292999999999999,
    0.7893000000000001,
    0.7445999999999998,
    0.7049000000000001,
    0.6984999999999999,
    0.6987999999999999,
    0.7172999999999996,
    0.7598999999999999,
    0.7827000000000002,
    0.7979999999999999,
    0.8099000000000001,
    0.834,
    0.8536,
    0.8552000000000001,
    0.8423000000000002,
    0.8208999999999999,
    0.8037000000000002,
    0.7751000000000002,
    0.7689000000000001,
    0.7856000000000003,
    0.8025,
    0.8281,
    0.8301000000000003,
    0.8327000000000001,
    0.839,
    0.8221,
    0.8131000000000004,
    0.7997000000000002,
    0.8084999999999998,
    0.8274999999999998,
    0.8454999999999998,
    0.8603,
    0.8734999999999999,
    0.8872999999999998,
    0.8905,
    0.8953999999999999,
    0.9006,
    0.9001999999999998,
    0.8694999999999999,
    0.8389000000000001,
    0.8128000000000002,
    0.7947000000000002,
    0.7926000000000001,
    0.7918,
    0.7993999999999998,
    0.8318000000000001,
    0.8551,
    0.8901,
    0.9051999999999999,
    0.9333999999999999,
    0.9376,
    0.964,
    0.9815,
    0.9832999999999998,
    0.9840000000000001,
    0.9683999999999999,
    0.9561000000000002,
    0.9592,
    0.9468000000000001,
    0.9480000000000001,
    0.9441999999999998,
    0.9505000000000001,
    0.9623999999999998,
    0.9837999999999999,
    0.9989,
    1.0284000000000002,
    1.0612,
    1.0659999999999998,
    1.0816999999999997,
    1.0767999999999998,
    1.0525000000000004,
    1.0315,
    1.0042999999999997,
    0.9845999999999999,
    0.9811000000000001,
    0.9552000000000004,
    0.9267999999999998,
    0.8943,
    0.8559000000000003,
    0.8252999999999998,
    0.8069999999999999,
    0.8109,
    0.8285999999999999,
    0.8335999999999999,
    0.8450999999999999,
    0.8823,
    0.9094,
    0.9222999999999999,
    0.9316,
    0.9505,
    0.9579000000000002,
    0.9534000000000001,
    0.9619000000000003,
    0.9666,
    0.9696000000000001,
    0.9691000000000002,
    0.9783999999999998,
    0.9902,
    1.0167999999999995,
    1.0073999999999999,
    0.9865000000000002,
    0.9578,
    0.9224999999999998,
    0.9105999999999999,
    0.9004999999999999,
    0.9025000000000001,
    0.9022000000000001,
    0.9107000000000002,
    0.9302000000000002,
    0.9553999999999999,
    0.9886999999999999,
    1.0375,
    1.0761000000000005,
    1.1016000000000001,
    1.1026999999999991,
    1.1078999999999997,
    1.0874000000000001,
    1.0723000000000003,
    1.0705999999999998,
    1.0724000000000005,
    1.0708999999999997,
    1.0662999999999998,
    1.0596999999999999,
    1.0328999999999997,
    1.0116000000000003,
    0.9873999999999999,
    0.9848000000000001,
    0.9858999999999998,
    0.9949999999999994,
    0.9877000000000002,
    0.9884000000000001,
    1.0001999999999998,
    0.9943,
    0.9871000000000001,
    0.9773000000000001,
    0.985,
    1.0038,
    1.0208,
    1.0112,
    0.9994999999999997,
    0.9790000000000001,
    0.9742999999999997,
    0.9701000000000001,
    0.9621999999999999,
    0.9495000000000002,
    0.9307999999999996,
    0.9267999999999998,
    0.9145,
    0.9003000000000002,
    0.8725,
    0.8438,
    0.8454,
    0.8856,
    0.9352999999999998,
    0.9783,
    1.0036999999999998,
    1.005,
    0.991,
    0.9682000000000001,
    0.9384,
    0.9205999999999999,
    0.9070000000000003,
    0.9246,
    0.9184000000000001,
    0.9300999999999998,
    0.9316000000000002,
    0.9388000000000002,
    0.9228000000000002,
    0.9015999999999998,
    0.8941000000000003,
    0.8853000000000002,
    0.8779999999999998,
    0.8638999999999999,
    0.8603,
    0.8648999999999999,
    0.8324,
    0.8054999999999998,
    0.7813999999999995,
    0.7869,
    0.8096,
    0.8479999999999999,
    0.8857999999999998,
    0.9407000000000001,
    0.9771,
    0.9984999999999998,
    0.9972000000000001,
    0.9914000000000003,
    0.9866999999999999,
    0.9883000000000003,
    0.9995000000000002,
    1.0125,
    1.0022000000000004,
    1.0025999999999997,
    0.9914000000000002,
    0.9881000000000002,
    0.9663999999999999,
    0.9374000000000002,
    0.8996,
    0.8685000000000002,
    0.8528,
    0.8806999999999999,
    0.9040000000000002,
    0.9347000000000001,
    0.9611000000000003,
    0.9673000000000002,
    0.9755,
    0.9658000000000003,
    0.955,
    0.9578,
    0.9424000000000003,
    0.9342000000000003,
    0.9206000000000001,
    0.9066000000000003,
    0.8982000000000001,
    0.8833000000000001,
    0.8696999999999999,
    0.8589999999999999,
    0.8613000000000002,
    0.8447,
    0.8319999999999999,
    0.8152000000000001,
    0.8185999999999999,
    0.8245999999999997,
    0.8524,
    0.8795,
    0.8803999999999998,
    0.8677999999999998,
    0.8583999999999998,
    0.8613,
    0.8574,
    0.8810999999999996,
    0.9135,
    0.9555999999999999,
    0.9714999999999999,
    0.9716999999999998,
    0.9995999999999999,
    1.0235000000000003,
    1.0416000000000003,
    1.0639000000000005,
    1.0760999999999996,
    1.0891999999999997,
    1.0836999999999997,
    1.0775,
    1.0672999999999995,
    1.0632000000000004,
    1.0656999999999996,
    1.0637999999999999,
    1.0647,
    1.0708,
    1.0603,
    1.0569,
    1.0291,
    1.0012999999999999,
    0.9885999999999999,
    0.9866,
    0.9860999999999999,
    0.9770999999999999,
    0.9636999999999999,
    0.9517000000000001,
    0.9523999999999999,
    0.9323000000000002,
    0.9333999999999999,
    0.9492000000000003,
    0.9763,
    1.0167999999999997,
    1.0289,
    1.0332,
    1.025,
    1.0026,
    0.9660000000000001,
    0.9292000000000002,
    0.8830999999999998,
    0.8375999999999997,
    0.8264000000000001,
    0.8349000000000002,
    0.8508,
    0.8724000000000003,
    0.9109999999999999,
    0.9430000000000001,
    0.9694999999999999,
    0.9853,
    1.0051000000000003,
    1.0059000000000002,
    0.9957999999999998,
    0.9650999999999996,
    0.9390999999999999,
    0.9079999999999999,
    0.8854999999999998,
    0.8730000000000001,
    0.8782999999999999,
    0.8838000000000001,
    0.8740000000000001,
    0.8644999999999999,
    0.8450000000000001,
    0.8199,
    0.7813999999999999,
    0.7627,
    0.7399000000000002,
    0.7251000000000003,
    0.7201,
    0.7511000000000001,
    0.7829999999999999,
    0.8032,
    0.8104000000000001,
    0.8108000000000001,
    0.8003999999999997,
    0.7887000000000002,
    0.7647999999999999,
    0.7640000000000001,
    0.7665000000000001,
    0.7813,
    0.7955000000000002,
    0.8221,
    0.8369999999999999,
    0.8419,
    0.8374000000000003,
    0.8414000000000001,
    0.8254999999999998,
    0.8004000000000001,
    0.7803000000000002,
    0.7769,
    0.7861,
    0.7727999999999999,
    0.7613999999999999,
    0.7484000000000001,
    0.7250999999999999,
    0.7188999999999999,
    0.7209000000000001,
    0.7222000000000001,
    0.7492,
    0.7589000000000001,
    0.7749,
    0.7895999999999999,
    0.7975000000000001,
    0.7991000000000003,
    0.7857999999999998,
    0.7602,
    0.7417,
    0.7335999999999999,
    0.7408000000000001,
    0.7535000000000002,
    0.7495,
    0.7661999999999999,
    0.7899999999999999,
    0.8078,
    0.8003999999999997,
    0.8029999999999997,
    0.8127999999999997,
    0.8195,
    0.8146000000000002,
    0.7791,
    0.7414000000000001,
    0.7362999999999998,
    0.7415999999999998,
    0.7335000000000003,
    0.7231000000000001,
    0.7139999999999999,
    0.7004000000000001,
    0.6826,
    0.6692,
    0.6324999999999998,
    0.6321,
    0.6204,
    0.5995999999999998,
    0.5793,
    0.5681999999999999,
    0.5596000000000001,
    0.5650999999999999,
    0.5911000000000002,
    0.6160000000000004,
    0.6405999999999998,
    0.6281000000000002,
    0.6088,
    0.6007000000000002,
    0.6228999999999999,
    0.6259000000000001,
    0.627,
    0.6132,
    0.6019000000000001,
    0.5849,
    0.569,
    0.5282,
    0.49710000000000015,
    0.48490000000000005,
    0.5140999999999998,
    0.5519999999999998,
    0.5599999999999999,
    0.5758999999999997,
    0.5782999999999999,
    0.6076000000000001,
    0.6065,
    0.6232000000000002,
    0.6199000000000001,
    0.623,
    0.6340000000000001,
    0.6309,
    0.6188000000000002,
    0.5845999999999997,
    0.5506999999999999,
    0.5290999999999998,
    0.5305999999999998,
    0.5324,
    0.5363999999999999,
    0.5383999999999998,
    0.5237999999999998,
    0.5163000000000001,
    0.5226999999999998,
    0.5242999999999999,
    0.5273,
    0.5310999999999999,
    0.5483999999999998,
    0.567,
    0.5859,
    0.5778,
    0.5874000000000003,
    0.5996000000000001,
    0.6289,
    0.6656,
    0.6855999999999999,
    0.7040000000000001,
    0.7112999999999998,
    0.7131,
    0.6803,
    0.6659,
    0.6264000000000001,
    0.623,
    0.6409999999999999,
    0.6513999999999999,
    0.6668,
    0.6536999999999996,
    0.6357000000000003,
    0.6094999999999998,
    0.5997,
    0.6037,
    0.6307999999999999,
    0.6460000000000002,
    0.6570999999999999,
    0.6623000000000001,
    0.6796000000000001,
    0.6814999999999999,
    0.6802999999999999,
    0.6529999999999999,
    0.633,
    0.6251000000000002,
    0.6519,
    0.6760999999999998,
    0.6972999999999999,
    0.6875000000000002,
    0.6649,
    0.6527000000000002,
    0.6471000000000001,
    0.6455000000000001,
    0.6219999999999998,
    0.5947999999999999,
    0.5849,
    0.5846,
    0.5794,
    0.5527,
    0.5478000000000001,
    0.5389000000000002,
    0.5847999999999998,
    0.6132000000000001,
    0.6403999999999999,
    0.6602,
    0.6738999999999997,
    0.6977999999999998,
    0.7084,
    0.7168999999999999,
    0.7146999999999997,
    0.7153999999999998,
    0.7177999999999999,
    0.7096999999999998,
    0.7037000000000004,
    0.7035000000000001,
    0.7013999999999997,
    0.6852999999999999,
    0.649,
    0.6073000000000001,
    0.5714,
    0.5462999999999999,
    0.5334999999999999,
    0.5356999999999998,
    0.5429000000000002,
    0.5531999999999999,
    0.5682999999999999,
    0.5826,
    0.5951000000000001,
    0.5943999999999999,
    0.6078000000000001,
    0.5947,
    0.5837000000000002,
    0.5565,
    0.5458999999999997,
    0.5518,
    0.5796000000000002,
    0.6008,
    0.6286000000000002,
    0.6295999999999998,
    0.6152,
    0.5842999999999998,
    0.5593,
    0.5585000000000002,
    0.5804,
    0.5989000000000001,
    0.6317999999999999,
    0.6433999999999999,
    0.6548000000000002,
    0.6601000000000001,
    0.6651000000000001,
    0.6689,
    0.6871999999999999,
    0.6981000000000002,
    0.6995999999999998,
    0.7153999999999999,
    0.7239,
    0.7332999999999998,
    0.7413000000000002,
    0.7308,
    0.7242,
    0.7240999999999999,
    0.7326999999999998,
    0.75,
    0.7734,
    0.7902000000000002,
    0.8006,
    0.7972999999999999,
    0.7958,
    0.7949000000000003,
    0.7873,
    0.7807000000000001,
    0.7793000000000002,
    0.7824000000000002,
    0.8003,
    0.7990999999999999,
    0.7897000000000003,
    0.7815,
    0.7797999999999999,
    0.7784,
    0.7606999999999999,
    0.7176999999999999,
    0.6696,
    0.6394000000000003,
    0.6153999999999996,
    0.6147999999999999,
    0.6134,
    0.6111999999999999,
    0.6074999999999998,
    0.6105000000000002,
    0.5843000000000002,
    0.5515999999999999,
    0.5309999999999999,
    0.5125000000000001,
    0.4953000000000001,
    0.4879000000000001,
    0.5306,
    0.5856999999999999,
    0.6563,
    0.6962000000000002,
    0.7218999999999999,
    0.7344999999999999,
    0.7361999999999997,
    0.7247999999999999,
    0.6996000000000002,
    0.6620000000000001,
    0.6083999999999998,
    0.5891,
    0.587,
    0.5950000000000001,
    0.5895999999999998,
    0.6047000000000001,
    0.6406999999999999,
    0.6843499999999999,
    0.7050500000000001,
    0.7071,
    0.7040999999999997,
    0.6982999999999999,
    0.7166,
    0.7185000000000001,
    0.7172,
    0.7107,
    0.7064,
    0.6951,
    0.6821999999999999,
    0.65115,
    0.6292999999999999,
    0.6147999999999999,
    0.6047999999999999,
    0.59105,
    0.5855499999999999,
    0.5773499999999999,
    0.5775,
    0.5827499999999998,
    0.59525,
    0.6123999999999999,
    0.6237,
    0.6326999999999999
  ],
  "sidechain": [
    0.45949999999999996,
    0.5005,
    0.48295,
    0.4789499999999999,
    0.50075,
    0.5123499999999999,
    0.50205,
    0.5189500000000001,
    0.59675,
    0.55805,
    0.5695499999999999,
    0.6180499999999997,
    0.61445,
    0.6160999999999998,
    0.6151000000000002,
    0.5959000000000003,
    0.6091999999999999,
    0.5940999999999997,
    0.5689,
    0.5625499999999999,
    0.59625,
    0.5426500000000004,
    0.5439499999999998,
    0.5087499999999999,
    0.49175,
    0.5870000000000001,
    0.355,
    0.5911999999999998,
    0.5933999999999997,
    0.5897000000000001,
    0.6347999999999999,
    0.36650000000000005,
    0.5706999999999999,
    0.347,
    0.6139999999999999,
    0.5012999999999999,
    0.4576,
    0.4538000000000001,
    0.5667999999999999,
    0.3716999999999998,
    0.5690999999999999,
    0.5542999999999997,
    0.5870999999999998,
    0.6061000000000003,
    0.3739999999999999,
    0.5757,
    0.5164000000000002,
    0.6534000000000001,
    0.5938999999999997,
    0.5953999999999999,
    0.5882000000000004,
    0.5745000000000001,
    0.5109000000000002,
    0.5569000000000001,
    0.5496,
    0.6439999999999999,
    0.5764999999999999,
    0.5313,
    0.3265,
    0.5758,
    0.5441,
    0.3364999999999998,
    0.31849999999999995,
    0.5746000000000001,
    0.5685999999999999,
    0.31840000000000007,
    0.534,
    0.49169999999999986,
    0.3146,
    0.3007000000000001,
    0.5004,
    0.3296,
    0.5434,
    0.5449000000000003,
    0.4717,
    0.3165999999999999,
    0.34199999999999986,
    0.3324,
    0.5289999999999998,
    0.4673,
    0.43859999999999993,
    0.47930000000000006,
    0.4234,
    0.2980000000000001,
    0.4754999999999999,
    0.5401,
    0.4906000000000001,
    0.5566999999999999,
    0.37770000000000004,
    0.5676,
    0.35340000000000005,
    0.5701999999999999,
    0.5456,
    0.5525000000000001,
    0.31930000000000014,
    0.4872999999999999,
    0.5467,
    0.5187000000000003,
    0.5119,
    0.5262,
    0.5363,
    0.5148000000000001,
    0.33509999999999984,
    0.3093,
    0.5683,
    0.3389,
    0.5656,
    0.3399999999999999,
    0.5525,
    0.5476,
    0.5653999999999999,
    0.5221,
    0.4833,
    0.602,
    0.47950000000000004,
    0.5747,
    0.38660000000000005,
    0.575,
    0.34890000000000004,
    0.5932999999999998,
    0.6417,
    0.4967,
    0.5606000000000001,
    0.5226999999999999,
    0.5698,
    0.3455000000000001,
    0.5967,
    0.6446,
    0.5299999999999999,
    0.6011999999999998,
    0.6376999999999998,
    0.7058999999999997,
    0.62,
    0.5873999999999999,
    0.6064999999999999,
    0.5328000000000002,
    0.48590000000000005,
    0.4911,
    0.6157999999999999,
    0.5285000000000001,
    0.5474999999999998,
    0.5338999999999999,
    0.40020000000000006,
    0.5570999999999998,
    0.5245999999999998,
    0.5534999999999999,
    0.5532999999999998,
    0.5096999999999999,
    0.5725999999999997,
    0.5156000000000001,
    0.5336999999999998,
    0.5393999999999998,
    0.5919999999999999,
    0.5216999999999999,
    0.5501999999999999,
    0.6120000000000002,
    0.3424,
    0.5857999999999998,
    0.5287000000000003,
    0.5099,
    0.27959999999999996,
    0.4864999999999998,
    0.32069999999999993,
    0.4881999999999999,
    0.2941,
    0.5855999999999999,
    0.4954999999999999,
    0.4272,
    0.3335,
    0.5085000000000001,
    0.5657,
    0.5999,
    0.5723,
    0.5403,
    0.4952999999999999,
    0.4376000000000001,
    0.45730000000000004,
    0.4805,
    0.5994,
    0.3545000000000001,
    0.6214,
    0.37800000000000006,
    0.6159,
    0.626,
    0.6570999999999997,
    0.5836999999999999,
    0.6104999999999999,
    0.3744,
    0.35929999999999995,
    0.5546999999999997,
    0.5622000000000001,
    0.47769999999999996,
    0.5588999999999998,
    0.5755999999999999,
    0.3725,
    0.5767999999999999,
    0.4914000000000001,
    0.6034999999999999,
    0.5558999999999998,
    0.5696999999999998,
    0.30109999999999987,
    0.5232,
    0.5235999999999998,
    0.4865,
    0.4585,
    0.41539999999999977,
    0.4885999999999999,
    0.4771,
    0.4096999999999999,
    0.4644,
    0.43179999999999985,
    0.4289999999999998,
    0.41020000000000006,
    0.42560000000000003,
    0.41979999999999995,
    0.45170000000000016,
    0.4163999999999998,
    0.48310000000000003,
    0.47180000000000005,
    0.43509999999999993,
    0.423,
    0.5236000000000001,
    0.4638999999999998,
    0.2030000000000001,
    0.5123999999999999,
    0.271,
    0.49199999999999994,
    0.42610000000000015,
    0.49979999999999986,
    0.5147,
    0.3140000000000003,
    0.3046,
    0.54,
    0.2812999999999999,
    0.28029999999999994,
    0.4428999999999999,
    0.48750000000000004,
    0.4618,
    0.4464000000000001,
    0.27120000000000005,
    0.46349999999999997,
    0.48850000000000005,
    0.5603999999999998,
    0.3620000000000001,
    0.5611999999999999,
    0.5249999999999999,
    0.5495999999999999,
    0.5122999999999999,
    0.5105999999999998,
    0.5643999999999999,
    0.3994,
    0.5657999999999997,
    0.5791,
    0.6100999999999998,
    0.5899999999999999,
    0.3233999999999999,
    0.4875999999999999,
    0.3079,
    0.5219999999999998,
    0.5466999999999999,
    0.48639999999999994,
    0.5328999999999999,
    0.5988000000000001,
    0.6124999999999999,
    0.6026000000000001,
    0.3989,
    0.6363,
    0.6040000000000001,
    0.6057999999999999,
    0.5800000000000002,
    0.6228999999999999,
    0.6013000000000001,
    0.6247999999999998,
    0.30390000000000006,
    0.5140999999999998,
    0.3018000000000002,
    0.29649999999999993,
    0.3132999999999999,
    0.3697000000000001,
    0.6338,
    0.5903,
    0.6250000000000001,
    0.6135000000000003,
    0.5908,
    0.3321,
    0.5492999999999999,
    0.6158999999999998,
    0.6029000000000001,
    0.3421999999999999,
    0.31210000000000004,
    0.37089999999999984,
    0.5622999999999999,
    0.3403000000000001,
    0.5237000000000003,
    0.6170999999999999,
    0.6145999999999997,
    0.3811,
    0.6071000000000002,
    0.32949999999999996,
    0.5453999999999999,
    0.5501000000000001,
    0.4993,
    0.4625,
    0.5471000000000001,
    0.5428,
    0.5370999999999998,
    0.5617000000000002,
    0.3326,
    0.5151,
    0.5394000000000001,
    0.5346999999999998,
    0.2973,
    0.32210000000000005,
    0.28569999999999995,
    0.5374999999999998,
    0.3352000000000001,
    0.29090000000000005,
    0.5722999999999999,
    0.6004,
    0.5624000000000001,
    0.6119,
    0.39110000000000017,
    0.5969,
    0.3763000000000001,
    0.6041000000000002,
    0.5744999999999998,
    0.33099999999999996,
    0.5682,
    0.5159999999999999,
    0.546,
    0.5205000000000002,
    0.5131000000000001,
    0.2743000000000001,
    0.4892999999999999,
    0.5841,
    0.5343999999999998,
    0.5627000000000002,
    0.5810000000000002,
    0.6479999999999997,
    0.5709000000000001,
    0.5995000000000003,
    0.5913,
    0.5993999999999999,
    0.3639,
    0.3394000000000002,
    0.5327,
    0.4593,
    0.29159999999999997,
    0.5304000000000001,
    0.5433,
    0.5410999999999999,
    0.5875000000000002,
    0.5920000000000001,
    0.33820000000000006,
    0.4101000000000001,
    0.5369999999999999,
    0.3466999999999999,
    0.5545999999999999,
    0.3453000000000001,
    0.3147,
    0.35780000000000006,
    0.6077000000000001,
    0.3598,
    0.2949,
    0.5048000000000002,
    0.5954,
    0.29890000000000005,
    0.5663000000000001,
    0.528,
    0.5811000000000002,
    0.349,
    0.6256000000000002,
    0.6252,
    0.5967,
    0.6652000000000001,
    0.37720000000000004,
    0.5832,
    0.4853999999999999,
    0.32620000000000005,
    0.3201999999999999,
    0.30509999999999976,
    0.5357999999999999,
    0.5435000000000001,
    0.5868999999999999,
    0.5207,
    0.5940999999999999,
    0.5251,
    0.6499000000000001,
    0.4042000000000001,
    0.6348,
    0.3989999999999999,
    0.6310000000000002,
    0.6028000000000002,
    0.5477000000000001,
    0.5307000000000002,
    0.6150000000000001,
    0.6259999999999998,
    0.3797,
    0.6219000000000001,
    0.592,
    0.44909999999999994,
    0.5735,
    0.49390000000000006,
    0.3167,
    0.5131000000000001,
    0.48740000000000006,
    0.4648000000000001,
    0.5536000000000003,
    0.5760000000000001,
    0.5648999999999996,
    0.6041,
    0.39469999999999994,
    0.5877999999999998,
    0.5654,
    0.5901999999999997,
    0.31200000000000006,
    0.36989999999999995,
    0.3175,
    0.29500000000000004,
    0.5442,
    0.5774,
    0.3269,
    0.5889999999999999,
    0.40350000000000014,
    0.6162000000000002,
    0.5913,
    0.5808999999999997,
    0.3177999999999999,
    0.5733999999999999,
    0.4623999999999999,
    0.2797,
    0.3207999999999999,
    0.4508000000000001,
    0.27489999999999987,
    0.4443000000000001,
    0.5044,
    0.45660000000000006,
    0.4911,
    0.5327999999999998,
    0.4885999999999998,
    0.5656999999999999,
    0.5307999999999999,
    0.5906000000000001,
    0.5543000000000001,
    0.6109999999999998,
    0.6099999999999999,
    0.658,
    0.3495999999999998,
    0.6146,
    0.3508,
    0.3307,
    0.29989999999999994,
    0.4867,
    0.29329999999999995,
    0.4871,
    0.5857,
    0.5573000000000001,
    0.42869999999999997,
    0.5942,
    0.563,
    0.3368,
    0.41140000000000004,
    0.5324999999999998,
    0.5865999999999998,
    0.5819000000000001,
    0.5796999999999998,
    0.41619999999999996,
    0.6175999999999999,
    0.5803999999999999,
    0.3166000000000001,
    0.3104,
    0.5445999999999999,
    0.47359999999999997,
    0.5685999999999998,
    0.5314,
    0.5999999999999998,
    0.6129999999999999,
    0.6053,
    0.6285999999999999,
    0.40940000000000015,
    0.6314000000000002,
    0.4429999999999999,
    0.6152999999999998,
    0.5641999999999998,
    0.3626999999999999,
    0.3087,
    0.3002,
    0.36869999999999986,
    0.4832000000000001,
    0.37100000000000016,
    0.48469999999999985,
    0.5899000000000002,
    0.5889999999999999,
    0.6616999999999998,
    0.6127999999999998,
    0.6354,
    0.5695,
    0.6643,
    0.6161999999999997,
    0.5672999999999998,
    0.4961999999999999,
    0.5179,
    0.5376000000000003,
    0.5336999999999998,
    0.5191,
    0.4273,
    0.6262,
    0.6334999999999998,
    0.6340000000000002,
    0.5908000000000001,
    0.5785,
    0.6314000000000001,
    0.5240999999999999,
    0.5038,
    0.6063000000000002,
    0.6128999999999999,
    0.3485000000000001,
    0.5871000000000002,
    0.6472000000000001,
    0.5761999999999998,
    0.5754999999999998,
    0.6262000000000001,
    0.3811999999999999,
    0.5875,
    0.32110000000000005,
    0.34800000000000014,
    0.5932,
    0.4361000000000001,
    0.392,
    0.6017,
    0.5681,
    0.6177000000000001,
    0.5224,
    0.6389999999999997,
    0.36660000000000004,
    0.5657999999999999,
    0.3608000000000001,
    0.2568999999999999,
    0.41659999999999997,
    0.4566,
    0.3147000000000002,
    0.5359,
    0.5287000000000001,
    0.5469999999999998,
    0.5854,
    0.5021999999999999,
    0.5207999999999999,
    0.5086,
    0.4798999999999999,
    0.5073000000000001,
    0.5711999999999997,
    0.5506000000000001,
    0.6237,
    0.4117,
    0.5954000000000002,
    0.5933,
    0.3383000000000001,
    0.5504,
    0.49080000000000007,
    0.3102,
    0.46540000000000004,
    0.34049999999999997,
    0.5500999999999999,
    0.6331000000000001,
    0.6027999999999999,
    0.6082,
    0.5713999999999997,
    0.6006,
    0.5978999999999999,
    0.6045,
    0.41840000000000005,
    0.5823999999999997,
    0.5516,
    0.592,
    0.5778999999999997,
    0.3008,
    0.4988,
    0.5803999999999999,
    0.5247999999999999,
    0.5819000000000002,
    0.4895000000000002,
    0.5786,
    0.5965,
    0.5994,
    0.5864000000000001,
    0.6312000000000001,
    0.6730999999999999,
    0.43989999999999985,
    0.6034000000000002,
    0.5829,
    0.3391999999999999,
    0.5240999999999999,
    0.3063,
    0.5171,
    0.4524,
    0.26810000000000006,
    0.4904000000000001,
    0.5838000000000001,
    0.35089999999999993,
    0.6331999999999999,
    0.6230000000000001,
    0.6109999999999999,
    0.3956999999999999,
    0.6326000000000002,
    0.5896,
    0.3628,
    0.5779999999999998,
    0.5700000000000001,
    0.5153999999999997,
    0.563,
    0.5635999999999997,
    0.5528,
    0.4551,
    0.45620000000000016,
    0.4814000000000001,
    0.45670000000000005,
    0.5077999999999999,
    0.4418000000000001,
    0.5037,
    0.2881,
    0.48839999999999995,
    0.5096,
    0.5301999999999999,
    0.5244999999999999,
    0.5483,
    0.5252,
    0.30799999999999994,
    0.5888,
    0.5699,
    0.5805,
    0.40390000000000004,
    0.6438000000000003,
    0.5610999999999998,
    0.524,
    0.5436000000000002,
    0.5025,
    0.5025000000000001,
    0.6236,
    0.6780000000000002,
    0.6077999999999999,
    0.6160000000000001,
    0.7222,
    0.6154999999999996,
    0.32289999999999985,
    0.5759000000000001,
    0.3431,
    0.33260000000000006,
    0.28380000000000005,
    0.31500000000000006,
    0.5674,
    0.3512000000000001,
    0.5905000000000002,
    0.6391999999999999,
    0.5751999999999999,
    0.6176999999999999,
    0.5210000000000001,
    0.5939999999999999,
    0.30660000000000015,
    0.5947000000000001,
    0.5327999999999999,
    0.2607999999999999,
    0.5098999999999999,
    0.45750000000000013,
    0.4888,
    0.4815,
    0.46309999999999996,
    0.42950000000000016,
    0.44769999999999993,
    0.467,
    0.47670000000000007,
    0.5182000000000002,
    0.47379999999999994,
    0.5482999999999997,
    0.5005000000000001,
    0.6238000000000002,
    0.5595000000000002,
    0.5790000000000002,
    0.5838999999999999,
    0.32539999999999997,
    0.5413,
    0.44110000000000005,
    0.31679999999999986,
    0.4688000000000001,
    0.3366,
    0.5111,
    0.5660000000000002,
    0.585,
    0.5782999999999999,
    0.4391999999999999,
    0.5972999999999998,
    0.6033999999999997,
    0.5748000000000001,
    0.30940000000000006,
    0.5936999999999998,
    0.3611,
    0.5934999999999998,
    0.5042000000000001,
    0.29590000000000005,
    0.3194000000000002,
    0.5540999999999998,
    0.5275,
    0.5645,
    0.5127,
    0.5417000000000002,
    0.5666,
    0.5807999999999999,
    0.6133999999999998,
    0.5838000000000001,
    0.5936999999999998,
    0.38419999999999993,
    0.5853,
    0.3306999999999999,
    0.3082,
    0.30929999999999996,
    0.31009999999999993,
    0.5465000000000002,
    0.4931,
    0.5353000000000001,
    0.5844999999999998,
    0.6527999999999999,
    0.6107,
    0.6292999999999999,
    0.4144999999999999,
    0.5991,
    0.5406,
    0.49099999999999994,
    0.45389999999999986,
    0.5208000000000003,
    0.5479999999999998,
    0.3283,
    0.4957000000000001,
    0.37370000000000003,
    0.5917999999999998,
    0.5759,
    0.5873999999999999,
    0.5421,
    0.5552999999999999,
    0.365,
    0.3286,
    0.46799999999999986,
    0.43260000000000004,
    0.4901,
    0.6120000000000003,
    0.6474999999999997,
    0.6003999999999998,
    0.6322000000000003,
    0.5921999999999998,
    0.6263999999999997,
    0.5722,
    0.5793999999999999,
    0.34450000000000003,
    0.5749,
    0.38290000000000013,
    0.40070000000000017,
    0.3288,
    0.4450000000000001,
    0.4112,
    0.5819999999999999,
    0.6205999999999999,
    0.6105999999999998,
    0.5890000000000003,
    0.5992,
    0.5765999999999999,
    0.5789,
    0.46300000000000013,
    0.2646999999999998,
    0.41539999999999994,
    0.5012,
    0.3211,
    0.5115999999999999,
    0.5662999999999997,
    0.5614999999999999,
    0.5854000000000001,
    0.5611999999999999,
    0.5894000000000001,
    0.6073,
    0.626,
    0.49939999999999996,
    0.5761,
    0.5535,
    0.31910000000000005,
    0.5221,
    0.47740000000000005,
    0.5475999999999999,
    0.5352,
    0.3624000000000001,
    0.5538999999999996,
    0.5673000000000002,
    0.5670000000000001,
    0.3909,
    0.5187999999999998,
    0.5498999999999999,
    0.5654999999999999,
    0.5351000000000001,
    0.5441999999999996,
    0.5539999999999997,
    0.5224000000000001,
    0.5762999999999999,
    0.4865000000000001,
    0.27070000000000005,
    0.2992,
    0.30230000000000007,
    0.5039,
    0.4995,
    0.4705000000000002,
    0.5147,
    0.5429999999999999,
    0.6196999999999999,
    0.5734000000000001,
    0.5489999999999999,
    0.6067999999999999,
    0.5312999999999999,
    0.5502999999999998,
    0.4778999999999999,
    0.2864,
    0.2446,
    0.29700000000000004,
    0.5349999999999999,
    0.45909999999999995,
    0.2703,
    0.4947,
    0.5788000000000002,
    0.3464000000000001,
    0.6586,
    0.5933000000000002,
    0.5982,
    0.5793000000000001,
    0.6159,
    0.38419999999999993,
    0.35069999999999996,
    0.5416999999999998,
    0.5689000000000001,
    0.5336000000000002,
    0.41269999999999996,
    0.6099999999999997,
    0.37170000000000003,
    0.5963000000000002,
    0.33340000000000014,
    0.5586,
    0.2959999999999999,
    0.49600000000000005,
    0.4842,
    0.5529999999999999,
    0.5763999999999998,
    0.5925999999999997,
    0.5950000000000002,
    0.5733999999999997,
    0.5619,
    0.3572,
    0.6298,
    0.3738000000000001,
    0.5948999999999998,
    0.3309,
    0.5299,
    0.4198,
    0.6239000000000003,
    0.6319000000000001,
    0.6114999999999997,
    0.6092999999999998,
    0.6628000000000002,
    0.5808000000000001,
    0.6471999999999999,
    0.5526999999999997,
    0.5693000000000003,
    0.3848999999999999,
    0.30359999999999987,
    0.4742999999999999,
    0.4652000000000001,
    0.6082999999999997,
    0.5348000000000002,
    0.3882,
    0.3404000000000001,
    0.5357,
    0.33659999999999995,
    0.5679999999999997,
    0.5729000000000002,
    0.5966,
    0.6330999999999998,
    0.36750000000000016,
    0.6645000000000001,
    0.6445,
    0.6619000000000003,
    0.6413999999999997,
    0.37690000000000007,
    0.5927000000000001,
    0.5188,
    0.31139999999999995,
    0.49579999999999996,
    0.6041000000000001,
    0.5578000000000001,
    0.4437,
    0.6578,
    0.6772,
    0.7092999999999999,
    0.4362,
    0.6852999999999999,
    0.6282999999999999,
    0.43919999999999987,
    0.522,
    0.5804999999999999,
    0.653,
    0.5774999999999998,
    0.28779999999999994,
    0.3132000000000001,
    0.5275000000000001,
    0.5478,
    0.508,
    0.5008000000000001,
    0.5481000000000001,
    0.5152,
    0.5783,
    0.5931000000000001,
    0.3981,
    0.5952,
    0.5447000000000001,
    0.5777,
    0.5257000000000002,
    0.3535999999999999,
    0.3012,
    0.2672,
    0.4598999999999999,
    0.4633,
    0.4787999999999999,
    0.46300000000000013,
    0.4888,
    0.3462000000000002,
    0.6084000000000002,
    0.6154000000000003,
    0.6106999999999999,
    0.6130000000000001,
    0.6180000000000003,
    0.3845999999999999,
    0.4925,
    0.44339999999999996,
    0.2897999999999999,
    0.27320000000000005,
    0.4250000000000001,
    0.27880000000000005,
    0.48290000000000016,
    0.3577000000000001,
    0.6208,
    0.6009999999999999,
    0.6355000000000002,
    0.35450000000000004,
    0.6255000000000002,
    0.5886,
    0.5367000000000001,
    0.4976,
    0.5743000000000004,
    0.6205,
    0.36200000000000004,
    0.5969,
    0.45890000000000003,
    0.39000000000000024,
    0.36399999999999993,
    0.5828999999999999,
    0.347,
    0.3848,
    0.3337000000000001,
    0.5337000000000001,
    0.5967000000000001,
    0.6100000000000001,
    0.6298999999999999,
    0.6069999999999999,
    0.5902999999999999,
    0.682,
    0.6876,
    0.6541,
    0.6357999999999996,
    0.6130999999999996,
    0.6172,
    0.3069999999999999,
    0.33170000000000016,
    0.4753,
    0.5065000000000001,
    0.5115000000000001,
    0.5364000000000001,
    0.47269999999999995,
    0.5423,
    0.5073000000000001,
    0.5562999999999999,
    0.5371,
    0.5689000000000001,
    0.2999999999999999,
    0.6564999999999999,
    0.4078,
    0.6100000000000003,
    0.5854999999999998,
    0.6418000000000001,
    0.5894999999999999,
    0.335,
    0.6220999999999999,
    0.47800000000000015,
    0.30199999999999994,
    0.49599999999999994,
    0.5800999999999997,
    0.5177,
    0.5482000000000004,
    0.5997999999999999,
    0.35040000000000016,
    0.3661,
    0.34930000000000005,
    0.3474,
    0.6088,
    0.31259999999999993,
    0.6150999999999999,
    0.6103,
    0.5886999999999999,
    0.3061000000000002,
    0.28330000000000005,
    0.4959000000000001,
    0.484,
    0.4968000000000001,
    0.5113999999999999,
    0.4665000000000002,
    0.49360000000000015,
    0.5902999999999999,
    0.584,
    0.5801000000000003,
    0.3753000000000002,
    0.6492,
    0.3591999999999999,
    0.5507999999999998,
    0.45639999999999986,
    0.3048,
    0.4775999999999999,
    0.24369999999999992,
    0.2531,
    0.4725,
    0.5248999999999999,
    0.4884,
    0.5776000000000002,
    0.3842000000000001,
    0.6556999999999998,
    0.5934000000000001,
    0.5935,
    0.41780000000000006,
    0.6504000000000003,
    0.5794000000000001,
    0.2850999999999998,
    0.47620000000000007,
    0.33180000000000004,
    0.5368000000000002,
    0.35200000000000004,
    0.6022000000000002,
    0.6614999999999999,
    0.6404999999999998,
    0.44300000000000006,
    0.6231000000000002,
    0.3652000000000002,
    0.6227000000000001,
    0.574,
    0.4997,
    0.48660000000000003,
    0.3313,
    0.625,
    0.36550000000000005,
    0.5784000000000001,
    0.5680999999999999,
    0.6184000000000001,
    0.3292999999999998,
    0.6207999999999997,
    0.3785000000000001,
    0.6066999999999998,
    0.32660000000000006,
    0.6070000000000002,
    0.40249999999999997,
    0.42050000000000004,
    0.37370000000000003,
    0.6231999999999999,
    0.5965999999999997,
    0.6152999999999998,
    0.6029000000000001,
    0.6067999999999999,
    0.4174,
    0.5800999999999998,
    0.5622,
    0.5105999999999999,
    0.5367999999999999,
    0.5274000000000001,
    0.5452999999999998,
    0.539,
    0.5435999999999999,
    0.3548000000000002,
    0.6021999999999998,
    0.5715999999999998,
    0.6096999999999999,
    0.5727,
    0.6347999999999998,
    0.616,
    0.6464999999999996,
    0.5811999999999999,
    0.36950000000000005,
    0.3942000000000002,
    0.4721,
    0.3073999999999999,
    0.4904,
    0.5283999999999998,
    0.5086999999999998,
    0.5685999999999999,
    0.643,
    0.5902999999999998,
    0.3881,
    0.6707000000000001,
    0.4298,
    0.6576,
    0.6713999999999996,
    0.6509,
    0.5722999999999997,
    0.5814,
    0.6027999999999999,
    0.6132,
    0.5631,
    0.5278,
    0.3967,
    0.5203999999999999,
    0.5237000000000002,
    0.5210999999999998,
    0.5972,
    0.5853000000000002,
    0.5518,
    0.4993999999999999,
    0.5737999999999999,
    0.6285999999999998,
    0.5203,
    0.6358000000000003,
    0.6506999999999998,
    0.5646000000000001,
    0.5745000000000001,
    0.5502000000000001,
    0.34559999999999996,
    0.5397999999999998,
    0.2983,
    0.5548999999999998,
    0.5189,
    0.34170000000000006,
    0.541,
    0.6049999999999999,
    0.5462999999999997,
    0.6061000000000001,
    0.6145,
    0.6263,
    0.5529999999999999,
    0.4206,
    0.5054000000000001,
    0.5137000000000002,
    0.3002000000000001,
    0.6086,
    0.35860000000000025,
    0.5984999999999998,
    0.5867,
    0.5907,
    0.5720000000000001,
    0.33329999999999993,
    0.5147,
    0.5353999999999999,
    0.49369999999999997,
    0.46929999999999994,
    0.2825,
    0.5557999999999997,
    0.39169999999999994,
    0.5877999999999999,
    0.5310999999999999,
    0.3781,
    0.32170000000000015,
    0.5489999999999998,
    0.26720000000000005,
    0.4714,
    0.44920000000000004,
    0.3149,
    0.5242000000000001,
    0.5630000000000001,
    0.2801,
    0.5494999999999999,
    0.5760000000000002,
    0.5191999999999998,
    0.2966999999999999,
    0.5603999999999996,
    0.5302999999999999,
    0.5611000000000002,
    0.4743,
    0.30579999999999996,
    0.4592999999999999,
    0.5672,
    0.5478999999999998,
    0.5235999999999998,
    0.6120000000000001,
    0.5947,
    0.6017999999999999,
    0.6082,
    0.6922,
    0.5808999999999999,
    0.6159000000000001,
    0.4070999999999999,
    0.6055,
    0.5998999999999998,
    0.6437,
    0.6324000000000001,
    0.6104000000000002,
    0.34060000000000007,
    0.32869999999999994,
    0.5487000000000001,
    0.5884,
    0.5875999999999999,
    0.5432999999999999,
    0.5711000000000002,
    0.6466000000000002,
    0.5934999999999999,
    0.6071,
    0.37900000000000006,
    0.6419999999999999,
    0.32050000000000006,
    0.5080999999999998,
    0.5464999999999999,
    0.5423999999999999,
    0.4022000000000003,
    0.30450000000000016,
    0.3906,
    0.5897999999999998,
    0.6354000000000001,
    0.5835000000000001,
    0.6018999999999999,
    0.6315000000000001,
    0.6333000000000001,
    0.5865,
    0.6258999999999998,
    0.6412000000000001,
    0.6192999999999996,
    0.33809999999999996,
    0.5224000000000001,
    0.615,
    0.6109,
    0.5962000000000001,
    0.5817000000000001,
    0.6101999999999997,
    0.5387000000000001,
    0.6019999999999999,
    0.5937999999999999,
    0.37560000000000004,
    0.3411,
    0.37159999999999993,
    0.6162,
    0.6587999999999999,
    0.6819000000000002,
    0.6556000000000002,
    0.5742,
    0.6336999999999999,
    0.40589999999999987,
    0.5375999999999999,
    0.3671,
    0.5564999999999996,
    0.3388999999999999,
    0.5683999999999999,
    0.5400999999999998,
    0.5501,
    0.5329,
    0.6265999999999999,
    0.6046999999999999,
    0.5413,
    0.6138000000000001,
    0.6311,
    0.6468999999999999,
    0.5630999999999998,
    0.5973999999999999,
    0.5894000000000001,
    0.6340000000000002,
    0.5357999999999999,
    0.4659999999999999,
    0.5026000000000002,
    0.5520999999999998,
    0.35070000000000007,
    0.5312,
    0.3994,
    0.6115,
    0.6347999999999997,
    0.5835000000000001,
    0.5352000000000001,
    0.32070000000000004,
    0.3373,
    0.5846,
    0.3870000000000001,
    0.32819999999999994,
    0.41559999999999986,
    0.6689,
    0.5935999999999997,
    0.6156,
    0.5650000000000002,
    0.3697000000000002,
    0.5643999999999998,
    0.6155,
    0.6105,
    0.5876999999999999,
    0.5820999999999996,
    0.6318999999999999,
    0.5475999999999999,
    0.5920000000000001,
    0.4189,
    0.3646999999999999,
    0.6118000000000005,
    0.6322000000000002,
    0.6144,
    0.5999000000000002,
    0.3685,
    0.3577,
    0.5304000000000003,
    0.6515999999999995,
    0.6629999999999997,
    0.6419000000000002,
    0.38880000000000003,
    0.35879999999999995,
    0.5799,
    0.6802,
    0.33730000000000004,
    0.5516000000000003,
    0.6026000000000002,
    0.5836,
    0.41419999999999996,
    0.6795,
    0.6380999999999997,
    0.5809999999999998,
    0.6345000000000001,
    0.6357999999999998,
    0.41170000000000007,
    0.6006999999999998,
    0.3647999999999999,
    0.5384000000000001,
    0.49830000000000013,
    0.6055999999999999,
    0.5335000000000002,
    0.5756,
    0.6028999999999998,
    0.5420999999999999,
    0.5472999999999999,
    0.615,
    0.5738,
    0.5687999999999995,
    0.6000999999999999,
    0.6050999999999999,
    0.40370000000000006,
    0.5716999999999999,
    0.6076000000000003,
    0.611,
    0.5546000000000001,
    0.6076999999999999,
    0.5292,
    0.4640000000000001,
    0.5716000000000001,
    0.38440000000000013,
    0.6549000000000001,
    0.3703000000000001,
    0.6922000000000003,
    0.6102000000000001,
    0.5533,
    0.5319,
    0.5994999999999998,
    0.5858,
    0.5068999999999999,
    0.3592000000000001,
    0.6071000000000002,
    0.6910000000000003,
    0.3506,
    0.6110000000000002,
    0.37220000000000014,
    0.6554999999999999,
    0.40309999999999996,
    0.6349999999999999,
    0.6905999999999999,
    0.6207000000000001,
    0.5600000000000002,
    0.388,
    0.5696999999999999,
    0.6511,
    0.4930999999999999,
    0.5722999999999998,
    0.5116999999999999,
    0.5427999999999998,
    0.3355999999999999,
    0.6683000000000003,
    0.38850000000000007,
    0.5650999999999999,
    0.3792999999999999,
    0.30379999999999996,
    0.5191000000000001,
    0.4885999999999998,
    0.6126,
    0.6094999999999999,
    0.6941000000000002,
    0.3470000000000001,
    0.7212000000000001,
    0.6506,
    0.3672,
    0.3944000000000001,
    0.6163,
    0.5992,
    0.5203999999999998,
    0.3362000000000001,
    0.6385,
    0.6827000000000002,
    0.31339999999999996,
    0.6248,
    0.37069999999999986,
    0.5958999999999999,
    0.3937,
    0.5249999999999999,
    0.5186999999999998,
    0.3595999999999999,
    0.6584,
    0.6047,
    0.5284999999999999,
    0.5488000000000002,
    0.6183,
    0.6922999999999997,
    0.3912999999999999,
    0.5259000000000001,
    0.5222999999999998,
    0.4943999999999999,
    0.5690999999999999,
    0.6823000000000001,
    0.6093999999999999,
    0.5381,
    0.6611,
    0.6307000000000001,
    0.6521999999999999,
    0.5522000000000001,
    0.597,
    0.6248999999999998,
    0.6171999999999999,
    0.6745999999999999,
    0.6206999999999999,
    0.7121999999999997,
    0.6049,
    0.5585000000000001,
    0.5201000000000001,
    0.33220000000000005,
    0.5859000000000002,
    0.35349999999999987,
    0.42199999999999993,
    0.5791,
    0.6394,
    0.6876999999999999,
    0.3570000000000001,
    0.5941000000000001,
    0.6225000000000002,
    0.5803999999999997,
    0.38999999999999996,
    0.5362,
    0.6067999999999998,
    0.5752,
    0.5522999999999998,
    0.391,
    0.6100999999999999,
    0.6326000000000002,
    0.6326999999999998,
    0.6066999999999999,
    0.6272000000000001,
    0.38109999999999983,
    0.5079000000000001,
    0.61,
    0.3927,
    0.43830000000000013,
    0.41509999999999997,
    0.6655999999999997,
    0.6531,
    0.6305,
    0.6102,
    0.6856,
    0.5526999999999999,
    0.6730999999999998,
    0.6238000000000001,
    0.6069,
    0.6036,
    0.5887999999999999,
    0.41329999999999995,
    0.3244000000000001,
    0.3628,
    0.5041,
    0.49879999999999997,
    0.6015999999999999,
    0.6338999999999999,
    0.6411000000000001,
    0.6128999999999999,
    0.5561999999999999,
    0.5717999999999998,
    0.37360000000000004,
    0.6050999999999999,
    0.5321,
    0.32399999999999995,
    0.38490000000000013,
    0.6148999999999999,
    0.3802000000000001,
    0.6204000000000001,
    0.6462999999999998,
    0.6218999999999999,
    0.6036,
    0.3560999999999999,
    0.6519999999999998,
    0.5861999999999999,
    0.3491999999999999,
    0.33790000000000003,
    0.39399999999999996,
    0.6020000000000002,
    0.40259999999999996,
    0.6201,
    0.6131,
    0.6329,
    0.5315999999999999,
    0.5754,
    0.4585000000000001,
    0.28890000000000016,
    0.5506000000000001,
    0.5782999999999997,
    0.5701999999999998,
    0.5619999999999998,
    0.5579000000000001,
    0.5820999999999997,
    0.5589999999999997,
    0.3551999999999999,
    0.5979,
    0.5655000000000001,
    0.5013,
    0.4827000000000001,
    0.5363000000000002,
    0.4896999999999999,
    0.3222000000000001,
    0.5103,
    0.36679999999999996,
    0.6423999999999999,
    0.6255999999999999,
    0.5716999999999998,
    0.6042,
    0.45309999999999995,
    0.6075000000000003,
    0.42919999999999997,
    0.5766000000000001,
    0.5738000000000003,
    0.5293000000000001,
    0.37629999999999986,
    0.5311999999999999,
    0.5252,
    0.5932000000000002,
    0.4989999999999999,
    0.5433,
    0.5617000000000001,
    0.5079000000000001,
    0.5636999999999999,
    0.5208000000000002,
    0.5379000000000002,
    0.4543000000000001,
    0.4854,
    0.4614000000000001,
    0.4891000000000001,
    0.27099999999999996,
    0.35190000000000005,
    0.5414,
    0.5926000000000001,
    0.6075000000000002,
    0.6186999999999998,
    0.6237999999999999,
    0.6177000000000002,
    0.3317000000000002,
    0.3375,
    0.6299999999999998,
    0.36379999999999996,
    0.5786999999999997,
    0.5692999999999999,
    0.5803999999999997,
    0.6109000000000002,
    0.6281999999999999,
    0.4112999999999999,
    0.6432,
    0.5485000000000001,
    0.4043,
    0.3478999999999998,
    0.6504000000000001,
    0.5235000000000001,
    0.5441000000000001,
    0.6139000000000001,
    0.5832,
    0.6452000000000001,
    0.5671,
    0.5727,
    0.3620999999999999,
    0.4905999999999999,
    0.5411999999999998,
    0.37389999999999995,
    0.5121999999999999,
    0.4724,
    0.4897999999999999,
    0.3405000000000001,
    0.3771,
    0.5007999999999998,
    0.5915000000000002,
    0.3027999999999999,
    0.5638000000000002,
    0.547,
    0.5134,
    0.5242000000000002,
    0.5799999999999998,
    0.5914999999999999,
    0.5746999999999997,
    0.47059999999999996,
    0.5004,
    0.5677,
    0.5267000000000001,
    0.4528000000000001,
    0.6071,
    0.5447000000000001,
    0.2775999999999999,
    0.3350000000000001,
    0.6318000000000003,
    0.5659000000000001,
    0.5433,
    0.5787000000000001,
    0.5407,
    0.3894000000000001,
    0.4232,
    0.607,
    0.5772999999999999,
    0.5032,
    0.6465999999999998,
    0.5845,
    0.3585000000000001,
    0.5184,
    0.6273,
    0.5315000000000003,
    0.5612999999999999,
    0.34529999999999994,
    0.5083,
    0.35209999999999997,
    0.5237999999999998,
    0.5861000000000002,
    0.31940000000000013,
    0.597,
    0.6081000000000002,
    0.5315999999999997,
    0.6230999999999999,
    0.6574999999999999,
    0.6133000000000002,
    0.5011000000000001,
    0.5180999999999999,
    0.5211999999999998,
    0.5847999999999999,
    0.3857,
    0.30319999999999997,
    0.5286999999999998,
    0.653,
    0.5989000000000001,
    0.6227000000000001,
    0.43150000000000005,
    0.40359999999999996,
    0.5496999999999999,
    0.6213000000000002,
    0.6789,
    0.3666,
    0.5337000000000002,
    0.4157999999999999,
    0.3978,
    0.6642999999999999,
    0.4268999999999999,
    0.5419999999999998,
    0.5327000000000002,
    0.5398999999999999,
    0.5858,
    0.6771000000000001,
    0.6107,
    0.5828,
    0.43109999999999987,
    0.6935000000000001,
    0.6322000000000002,
    0.5982999999999997,
    0.6480999999999998,
    0.7147000000000002,
    0.6917999999999999,
    0.3694000000000001,
    0.7188999999999998,
    0.6463000000000001,
    0.6400000000000001,
    0.38170000000000004,
    0.5916000000000001,
    0.5468000000000001,
    0.5301,
    0.36180000000000023,
    0.5675,
    0.6659,
    0.30519999999999997,
    0.3924,
    0.5553999999999999,
    0.5676999999999999,
    0.5634999999999998,
    0.5716999999999998,
    0.6067999999999998,
    0.39189999999999997,
    0.608,
    0.6161000000000001,
    0.5632000000000001,
    0.5303,
    0.3111999999999998,
    0.5575,
    0.5893,
    0.5897000000000001,
    0.5644000000000002,
    0.6867000000000001,
    0.5727999999999999,
    0.3948999999999999,
    0.6132999999999998,
    0.5842999999999999,
    0.6427,
    0.6545000000000003,
    0.6497999999999997,
    0.5893,
    0.6807000000000005,
    0.6390000000000001,
    0.6816999999999999,
    0.6517,
    0.6819999999999998,
    0.5489999999999999,
    0.6796000000000001,
    0.6088999999999997,
    0.6138999999999999,
    0.38839999999999997,
    0.6269999999999999,
    0.3663000000000001,
    0.38600000000000007,
    0.31220000000000003,
    0.3676000000000001,
    0.5532999999999998,
    0.5731,
    0.5810000000000002,
    0.5408,
    0.3002999999999999,
    0.5904000000000003,
    0.5668,
    0.49460000000000004,
    0.42790000000000006,
    0.46889999999999993,
    0.5468999999999998,
    0.5687999999999999,
    0.5648,
    0.6174999999999999,
    0.39619999999999994,
    0.6036000000000002,
    0.40709999999999996,
    0.6327999999999999,
    0.6178000000000001,
    0.5089999999999999,
    0.5312,
    0.5622000000000001,
    0.6124999999999997,
    0.4240000000000002,
    0.5901000000000002,
    0.3505,
    0.5719999999999998,
    0.5122999999999999,
    0.5464,
    0.47509999999999997,
    0.5051000000000001,
    0.4881,
    0.2881,
    0.5171999999999999,
    0.3184,
    0.5045000000000001,
    0.5486999999999999,
    0.524,
    0.5844000000000001,
    0.5236999999999997,
    0.5156000000000001,
    0.5722000000000003,
    0.32609999999999995,
    0.5831000000000002,
    0.5392000000000002,
    0.32590000000000013,
    0.4597,
    0.2899999999999998,
    0.6196,
    0.6207999999999999,
    0.5928000000000001,
    0.6429999999999999,
    0.6666999999999998,
    0.6170000000000002,
    0.31870000000000004,
    0.5990999999999999,
    0.35109999999999997,
    0.46089999999999987,
    0.5346,
    0.3167999999999999,
    0.30470000000000014,
    0.32430000000000014,
    0.5017999999999999,
    0.2764999999999999,
    0.5292,
    0.38090000000000007,
    0.5603999999999999,
    0.5930000000000001,
    0.5860000000000002,
    0.5627,
    0.5452,
    0.5754,
    0.613,
    0.35739999999999983,
    0.5351000000000001,
    0.486,
    0.5456000000000001,
    0.34370000000000006,
    0.3946000000000001,
    0.5087,
    0.3751000000000001,
    0.5349999999999999,
    0.3127999999999999,
    0.5875,
    0.4620999999999999,
    0.4602,
    0.5277000000000003,
    0.6031999999999998,
    0.5385000000000001,
    0.4854,
    0.6084999999999999,
    0.5938000000000001,
    0.6059999999999999,
    0.37110000000000015,
    0.5708999999999999,
    0.5927000000000001,
    0.5705000000000001,
    0.5548,
    0.5078000000000001,
    0.51,
    0.5443,
    0.5092999999999999,
    0.28180000000000005,
    0.3244,
    0.36440000000000006,
    0.5798000000000001,
    0.5283,
    0.6078,
    0.3904,
    0.39979999999999993,
    0.5297000000000001,
    0.5967000000000001,
    0.3553,
    0.4888,
    0.6460000000000002,
    0.5308999999999997,
    0.3844999999999999,
    0.5011,
    0.5669000000000002,
    0.3263,
    0.5235000000000001,
    0.4824000000000001,
    0.4856,
    0.5726999999999998,
    0.5794,
    0.5587000000000003,
    0.49330000000000007,
    0.5830999999999998,
    0.6060000000000001,
    0.5785999999999999,
    0.5845000000000001,
    0.5184000000000001,
    0.548,
    0.49010000000000004,
    0.5017000000000001,
    0.573,
    0.6088999999999998,
    0.39260000000000017,
    0.5866999999999999,
    0.38220000000000004,
    0.6076000000000001,
    0.3649,
    0.3278000000000001,
    0.5212000000000004,
    0.6169999999999999,
    0.3127,
    0.5411999999999998,
    0.31980000000000003,
    0.3292000000000001,
    0.5252,
    0.6343000000000001,
    0.5684999999999999,
    0.5131,
    0.5286000000000002,
    0.5488,
    0.6247999999999999,
    0.5546000000000001,
    0.5302999999999999,
    0.5001000000000001,
    0.5215,
    0.34959999999999997,
    0.6402,
    0.5739999999999998,
    0.3735000000000001,
    0.5994999999999998,
    0.6809000000000003,
    0.36819999999999997,
    0.40870000000000006,
    0.6509999999999997,
    0.6168000000000001,
    0.6861000000000002,
    0.6016999999999998,
    0.6775,
    0.37950000000000006,
    0.4166000000000001,
    0.5416000000000001,
    0.5851999999999999,
    0.6220000000000002,
    0.5905999999999998,
    0.655,
    0.5947999999999999,
    0.7274999999999999,
    0.6174999999999998,
    0.40330000000000016,
    0.6173999999999996,
    0.6913999999999998,
    0.6186,
    0.5986999999999999,
    0.5656,
    0.6003000000000001,
    0.6504000000000001,
    0.3293,
    0.5227999999999999,
    0.5725999999999999,
    0.5036999999999999,
    0.5804999999999997,
    0.6640999999999998,
    0.6051000000000003,
    0.3476999999999999,
    0.5503000000000001,
    0.5373000000000001,
    0.4493,
    0.5093999999999999,
    0.5534,
    0.3849,
    0.48519999999999996,
    0.5848000000000002,
    0.6094,
    0.6689,
    0.3308,
    0.6352,
    0.5534000000000001,
    0.5478999999999997,
    0.5415,
    0.5895999999999999,
    0.5885999999999999,
    0.5483,
    0.6263999999999998,
    0.6197999999999998,
    0.7206,
    0.3624,
    0.5685000000000001,
    0.4232,
    0.6211000000000001,
    0.38700000000000007,
    0.6405000000000001,
    0.5908999999999998,
    0.6837,
    0.5963000000000002,
    0.39140000000000014,
    0.5757999999999998,
    0.6768999999999998,
    0.6871999999999999,
    0.5922000000000001,
    0.5519999999999999,
    0.6406999999999999,
    0.6401000000000003,
    0.6338999999999998,
    0.5310999999999999,
    0.5954,
    0.6853,
    0.6134,
    0.6573,
    0.6121,
    0.6329000000000004,
    0.5653,
    0.41640000000000005,
    0.5231000000000001,
    0.6139999999999998,
    0.37359999999999993,
    0.5742,
    0.33909999999999996,
    0.6789999999999999,
    0.5341999999999998,
    0.3838,
    0.6089,
    0.5272999999999999,
    0.5086999999999999,
    0.408,
    0.6817999999999999,
    0.4282000000000001,
    0.6990999999999999,
    0.4447,
    0.3789,
    0.5882000000000003,
    0.6518999999999997,
    0.6255999999999998,
    0.4183,
    0.6488,
    0.6444,
    0.6237,
    0.40909999999999996,
    0.37810000000000005,
    0.5911,
    0.6481999999999999,
    0.6186999999999998,
    0.6067999999999998,
    0.6472000000000001,
    0.3685,
    0.6634999999999998,
    0.6202000000000002,
    0.5624999999999997,
    0.5752,
    0.5032999999999999,
    0.5400999999999999,
    0.5760999999999998,
    0.5378000000000001,
    0.3865,
    0.5759000000000001,
    0.6456999999999998,
    0.3264000000000001,
    0.5120999999999998,
    0.5634999999999999,
    0.5326999999999997,
    0.4808999999999998,
    0.3697000000000001,
    0.632,
    0.5859000000000002,
    0.6441,
    0.4072,
    0.5923999999999999,
    0.5066,
    0.5939000000000002,
    0.6328999999999999,
    0.5554,
    0.37100000000000005,
    0.4463,
    0.6808000000000001,
    0.5111000000000001,
    0.386,
    0.6563,
    0.37139999999999995,
    0.5477999999999998,
    0.6156999999999999,
    0.6193000000000001,
    0.6026999999999998,
    0.35760000000000003,
    0.6245999999999999,
    0.6439999999999999,
    0.6153999999999996,
    0.6363999999999999,
    0.6057,
    0.6854999999999999,
    0.3881000000000001,
    0.6614000000000001,
    0.7264999999999999,
    0.6368999999999997,
    0.5619999999999999,
    0.5798,
    0.7009000000000002,
    0.6375999999999998,
    0.44970000000000004,
    0.6700999999999999,
    0.6988000000000001,
    0.3792,
    0.6441999999999998,
    0.5945000000000001,
    0.7247000000000001,
    0.6853999999999998,
    0.7289,
    0.6572999999999998,
    0.45600000000000007,
    0.6555,
    0.45720000000000016,
    0.5988000000000001,
    0.5157,
    0.40770000000000006,
    0.5595,
    0.5749000000000001,
    0.5598,
    0.5983999999999999,
    0.5819999999999999,
    0.6724,
    0.5879000000000001,
    0.3525,
    0.4864999999999999,
    0.5191999999999997,
    0.5618999999999997,
    0.4872,
    0.5146,
    0.6059,
    0.6013000000000001,
    0.39769999999999994,
    0.5969,
    0.6740999999999999,
    0.5657,
    0.4992000000000001,
    0.29029999999999995,
    0.37729999999999997,
    0.4812,
    0.5727999999999999,
    0.6275,
    0.6012000000000001,
    0.5627999999999999,
    0.3669000000000001,
    0.6278,
    0.5719,
    0.5471999999999998,
    0.6896000000000001,
    0.6201,
    0.6046999999999999,
    0.6468000000000003,
    0.5953999999999998,
    0.6307999999999998,
    0.6023,
    0.3663,
    0.6282000000000001,
    0.382,
    0.5620999999999999,
    0.5146999999999999,
    0.4898999999999999,
    0.27819999999999995,
    0.3371,
    0.5679999999999998,
    0.5311999999999997,
    0.3248,
    0.4978999999999999,
    0.29840000000000005,
    0.5346,
    0.41599999999999987,
    0.5418000000000001,
    0.32480000000000003,
    0.48690000000000005,
    0.5431000000000001,
    0.34790000000000015,
    0.5964000000000002,
    0.5688999999999999,
    0.39519999999999994,
    0.5921000000000002,
    0.5765999999999998,
    0.34179999999999994,
    0.5625000000000002,
    0.6138999999999999,
    0.33590000000000003,
    0.4730999999999999,
    0.5588000000000001,
    0.5344,
    0.3559999999999999,
    0.5337,
    0.5624999999999999,
    0.47819999999999996,
    0.5522999999999999,
    0.6038999999999999,
    0.5976999999999998,
    0.48630000000000007,
    0.4895,
    0.33380000000000015,
    0.5956000000000001,
    0.35580000000000006,
    0.5665999999999999,
    0.6290999999999998,
    0.5783,
    0.41669999999999996,
    0.6037999999999998,
    0.6255999999999997,
    0.5311000000000002,
    0.5671999999999999,
    0.5791000000000001,
    0.576,
    0.4221999999999999,
    0.5748000000000001,
    0.36269999999999997,
    0.5433,
    0.6558000000000002,
    0.4278000000000001,
    0.39820000000000016,
    0.5447000000000004,
    0.6214,
    0.3255,
    0.5715,
    0.5445,
    0.5563000000000001,
    0.5645999999999999,
    0.3512,
    0.2913,
    0.5582999999999999,
    0.3153999999999999,
    0.5646,
    0.5681999999999996,
    0.28840000000000016,
    0.3386999999999999,
    0.5924999999999998,
    0.6008999999999998,
    0.5516999999999997,
    0.5095000000000001,
    0.5108000000000001,
    0.5085000000000001,
    0.5332,
    0.5738000000000004,
    0.5675999999999999,
    0.5724999999999999,
    0.5195,
    0.5382000000000002,
    0.5694000000000001,
    0.3453999999999997,
    0.5439999999999997,
    0.5876999999999999,
    0.6277999999999999,
    0.3228,
    0.39369999999999994,
    0.6189,
    0.42239999999999994,
    0.3394,
    0.4951,
    0.2838,
    0.4199,
    0.46900000000000003,
    0.5541999999999999,
    0.5627000000000001,
    0.3627000000000001,
    0.5942999999999999,
    0.6199999999999998,
    0.3736,
    0.37529999999999997,
    0.6429,
    0.3423000000000001,
    0.5312999999999997,
    0.6312000000000001,
    0.6470000000000001,
    0.5589999999999999,
    0.526,
    0.612,
    0.6326999999999999,
    0.34640000000000015,
    0.5057,
    0.6262,
    0.3968999999999999,
    0.4036,
    0.6258,
    0.6290999999999999,
    0.6524,
    0.4514,
    0.6324,
    0.6455999999999997,
    0.6567000000000004,
    0.6842999999999999,
    0.6407,
    0.6499,
    0.6275000000000001,
    0.5653999999999996,
    0.5666000000000001,
    0.6536,
    0.6635000000000001,
    0.6523000000000001,
    0.6243,
    0.42110000000000014,
    0.6882999999999999,
    0.6352000000000002,
    0.4045000000000001,
    0.4523,
    0.6371999999999999,
    0.5803000000000003,
    0.6065999999999999,
    0.6205999999999998,
    0.5447000000000002,
    0.5649000000000001,
    0.3819999999999999,
    0.6138,
    0.5630999999999999,
    0.39580000000000004,
    0.5965000000000003,
    0.3583,
    0.5427999999999997,
    0.6302999999999997,
    0.5708999999999999,
    0.2962,
    0.3069999999999999,
    0.6101000000000002,
    0.5546999999999999,
    0.31530000000000014,
    0.29380000000000017,
    0.5932000000000001,
    0.2679999999999999,
    0.49229999999999974,
    0.5092,
    0.5440000000000002,
    0.4914999999999999,
    0.5657,
    0.5460999999999999,
    0.5301999999999998,
    0.3021000000000001,
    0.5676,
    0.5413999999999997,
    0.32009999999999994,
    0.5171000000000001,
    0.5023,
    0.2465,
    0.2309,
    0.29269999999999996,
    0.21709999999999996,
    0.432,
    0.4537999999999998,
    0.49420000000000003,
    0.5204999999999996,
    0.30440000000000006,
    0.4905000000000001,
    0.48839999999999995,
    0.4175000000000001,
    0.25869999999999993,
    0.2521,
    0.4814,
    0.4936000000000001,
    0.4747,
    0.30450000000000016,
    0.49720000000000003,
    0.5075999999999998,
    0.2692,
    0.4384999999999999,
    0.4076,
    0.43260000000000004,
    0.3800000000000001,
    0.47090000000000015,
    0.24640000000000006,
    0.3032000000000001,
    0.22659999999999997,
    0.5270999999999998,
    0.5046999999999998,
    0.5668999999999997,
    0.4866,
    0.33010000000000017,
    0.3435000000000001,
    0.3057999999999999,
    0.29669999999999996,
    0.5433999999999999,
    0.4917,
    0.2635999999999999,
    0.25189999999999996,
    0.5149,
    0.4551999999999999,
    0.39320000000000005,
    0.5929,
    0.6081000000000002,
    0.5707,
    0.5735,
    0.6575000000000001,
    0.6050000000000001,
    0.6361000000000001,
    0.6612999999999999,
    0.6098999999999999,
    0.3820000000000001,
    0.5525999999999999,
    0.5859999999999996,
    0.47960000000000014,
    0.34559999999999996,
    0.5691999999999998,
    0.6198000000000001,
    0.5421999999999997,
    0.3047,
    0.37259999999999993,
    0.5467,
    0.31919999999999993,
    0.5215999999999998,
    0.2953000000000001,
    0.33079999999999987,
    0.32010000000000005,
    0.49379999999999996,
    0.566,
    0.30580000000000007,
    0.5635999999999998,
    0.5385999999999999,
    0.5349,
    0.3264000000000002,
    0.5148000000000001,
    0.5374000000000002,
    0.5589999999999998,
    0.46229999999999993,
    0.5433000000000001,
    0.5041999999999999,
    0.4844,
    0.5239000000000003,
    0.5217,
    0.5494999999999998,
    0.5847000000000002,
    0.5780000000000001,
    0.5673999999999999,
    0.4849999999999998,
    0.2708000000000001,
    0.4310999999999999,
    0.5085999999999998,
    0.45230000000000004,
    0.5615,
    0.501,
    0.3385000000000001,
    0.5260999999999999,
    0.575,
    0.3071999999999999,
    0.3822,
    0.5719,
    0.5897999999999998,
    0.6296000000000003,
    0.6277,
    0.3925,
    0.6452,
    0.6117,
    0.6345999999999998,
    0.6108999999999998,
    0.3620000000000001,
    0.6156999999999997,
    0.3396,
    0.3199999999999999,
    0.3876,
    0.5639,
    0.39289999999999997,
    0.582,
    0.6144000000000003,
    0.6959000000000002,
    0.6567000000000001,
    0.6633,
    0.7024999999999997,
    0.5921000000000001,
    0.5991000000000001,
    0.5721,
    0.6812,
    0.5929000000000002,
    0.5624,
    0.4967,
    0.5134,
    0.5356999999999998,
    0.522,
    0.49639999999999995,
    0.6429,
    0.6002,
    0.6162,
    0.3809,
    0.5895999999999999,
    0.646,
    0.33080000000000004,
    0.5918000000000001,
    0.6449999999999999,
    0.5312000000000001,
    0.3593000000000001,
    0.5189999999999999,
    0.3891999999999999,
    0.5693999999999999,
    0.5744,
    0.5865000000000001,
    0.5705000000000001,
    0.6398999999999999,
    0.41950000000000004,
    0.6494000000000001,
    0.5391999999999998,
    0.5729999999999998,
    0.5456000000000001,
    0.5740000000000002,
    0.5544000000000001,
    0.6052000000000001,
    0.6164,
    0.5707999999999999,
    0.6203,
    0.5567000000000003,
    0.3502000000000001,
    0.6175999999999999,
    0.5518999999999998,
    0.3428,
    0.34209999999999985,
    0.26849999999999996,
    0.4999999999999999,
    0.49010000000000004,
    0.29489999999999994,
    0.5768,
    0.6454,
    0.5733000000000001,
    0.6433999999999999,
    0.43150000000000005,
    0.6795999999999999,
    0.6337,
    0.6224000000000002,
    0.6201,
    0.6152999999999998,
    0.6003999999999999,
    0.5918999999999999,
    0.5658999999999998,
    0.625,
    0.5470999999999999,
    0.6289,
    0.5949999999999995,
    0.5982999999999999,
    0.6315,
    0.6355,
    0.6483,
    0.6745999999999999,
    0.6731000000000003,
    0.6418000000000001,
    0.6788000000000002,
    0.6460999999999998,
    0.6038999999999998,
    0.6358999999999999,
    0.6134000000000001,
    0.349,
    0.5386999999999997,
    0.5963000000000003,
    0.37170000000000003,
    0.5083999999999997,
    0.4965999999999999,
    0.5889999999999996,
    0.5483999999999998,
    0.5151999999999997,
    0.6436999999999998,
    0.5859999999999999,
    0.3835,
    0.5941,
    0.618,
    0.6003,
    0.5946999999999998,
    0.6136,
    0.619,
    0.6034,
    0.6582000000000003,
    0.5801999999999999,
    0.44789999999999996,
    0.6813999999999999,
    0.6518999999999999,
    0.6593999999999999,
    0.6300999999999998,
    0.6531,
    0.5492,
    0.6429999999999999,
    0.5324999999999999,
    0.4510000000000001,
    0.5798999999999997,
    0.34559999999999985,
    0.5529999999999998,
    0.6279999999999999,
    0.6467,
    0.6591999999999999,
    0.7441999999999999,
    0.6764000000000001,
    0.7028999999999999,
    0.6857000000000002,
    0.6519000000000001,
    0.7006000000000001,
    0.6904999999999999,
    0.6975999999999999,
    0.6931000000000002,
    0.6939000000000002,
    0.7297,
    0.6627999999999998,
    0.6418000000000001,
    0.6527999999999998,
    0.6716999999999999,
    0.6820999999999998,
    0.6622999999999999,
    0.6951,
    0.6614999999999998,
    0.6877000000000001,
    0.6177999999999999,
    0.40950000000000003,
    0.5996999999999999,
    0.6563000000000001,
    0.6222,
    0.6815000000000001,
    0.6478999999999999,
    0.41739999999999994,
    0.6128999999999998,
    0.6676999999999998,
    0.6504999999999999,
    0.3860000000000001,
    0.6582000000000002,
    0.39139999999999997,
    0.5764,
    0.668,
    0.39010000000000006,
    0.5994,
    0.5462000000000001,
    0.5723000000000001,
    0.6160999999999999,
    0.47270000000000006,
    0.7032999999999996,
    0.6980000000000001,
    0.6940999999999999,
    0.6554000000000001,
    0.6973000000000001,
    0.5845999999999996,
    0.7071999999999999,
    0.5871999999999999,
    0.7212999999999999,
    0.5900000000000001,
    0.657,
    0.6845000000000001,
    0.6471,
    0.6012000000000001,
    0.5682,
    0.6557000000000003,
    0.6166999999999999,
    0.6150000000000001,
    0.5562999999999999,
    0.6435999999999998,
    0.4252,
    0.6246999999999999,
    0.4304999999999999,
    0.5438000000000001,
    0.6137000000000001,
    0.5417999999999997,
    0.6258999999999998,
    0.6130999999999998,
    0.4222,
    0.7007999999999996,
    0.7392999999999998,
    0.7229999999999999,
    0.7017999999999998,
    0.6452999999999999,
    0.6893999999999999,
    0.49769999999999986,
    0.41479999999999995,
    0.6335999999999998,
    0.6619,
    0.7001000000000002,
    0.7031999999999999,
    0.6321000000000001,
    0.6710000000000003,
    0.6313,
    0.5688999999999997,
    0.5974000000000003,
    0.6422999999999999,
    0.5517,
    0.6456,
    0.6368,
    0.6661999999999999,
    0.6974999999999999,
    0.6790999999999999,
    0.6077,
    0.6350000000000001,
    0.6443,
    0.622,
    0.5622,
    0.6241,
    0.6352000000000002,
    0.563,
    0.6179000000000003,
    0.4049999999999999,
    0.6061000000000002,
    0.5542000000000002,
    0.6631000000000001,
    0.3843,
    0.3775,
    0.40379999999999994,
    0.5972,
    0.6239000000000001,
    0.6038999999999995,
    0.6220999999999999,
    0.5713,
    0.4191,
    0.4012,
    0.5554000000000002,
    0.6396000000000001,
    0.6244999999999999,
    0.5803999999999999,
    0.6430999999999999,
    0.6583000000000002,
    0.44340000000000007,
    0.6496,
    0.6656999999999996,
    0.6388999999999999,
    0.6732000000000002,
    0.6742999999999997,
    0.6814999999999998,
    0.6902,
    0.6796,
    0.7020000000000001,
    0.6331999999999999,
    0.6799000000000002,
    0.6356999999999999,
    0.7179999999999999,
    0.6756999999999996,
    0.6560999999999998,
    0.5692,
    0.686,
    0.6622999999999998,
    0.6454999999999999,
    0.6208000000000002,
    0.5670999999999998,
    0.38539999999999985,
    0.36819999999999986,
    0.6073000000000001,
    0.6281000000000001,
    0.6272000000000001,
    0.6934,
    0.6817999999999997,
    0.6796000000000002,
    0.7052999999999999,
    0.6899999999999998,
    0.6459999999999999,
    0.7112,
    0.6311999999999998,
    0.5691,
    0.5152000000000001,
    0.5884,
    0.41529999999999984,
    0.5295000000000002,
    0.6142000000000001,
    0.6387999999999998,
    0.6173000000000001,
    0.6453,
    0.6937000000000001,
    0.6714999999999999,
    0.6596000000000001,
    0.6704,
    0.6002999999999998,
    0.6095,
    0.5573000000000001,
    0.3969,
    0.3048999999999999,
    0.5938000000000002,
    0.35830000000000006,
    0.37240000000000006,
    0.5653999999999999,
    0.6109,
    0.3712,
    0.4719,
    0.5515000000000001,
    0.5632999999999998,
    0.4856000000000001,
    0.45369999999999994,
    0.35619999999999996,
    0.365,
    0.5759999999999998,
    0.5574,
    0.6053999999999999,
    0.30050000000000004,
    0.3431,
    0.5023,
    0.5664999999999999,
    0.5105,
    0.5454999999999999,
    0.32180000000000003,
    0.5593,
    0.5398000000000001,
    0.5944000000000002,
    0.5813000000000004,
    0.5601999999999999,
    0.3719999999999999,
    0.5232999999999999,
    0.5522,
    0.4847,
    0.6213,
    0.5051,
    0.5671000000000003,
    0.5491999999999999,
    0.5558,
    0.43410000000000004,
    0.2996999999999999,
    0.48650000000000004,
    0.5285000000000001,
    0.26890000000000003,
    0.5112,
    0.5758999999999999,
    0.3626000000000002,
    0.5449,
    0.30269999999999997,
    0.5666000000000002,
    0.4643999999999999,
    0.26009999999999994,
    0.5417000000000001,
    0.5689000000000002,
    0.5487,
    0.5060000000000001,
    0.5855000000000001,
    0.3370000000000001,
    0.523,
    0.5764999999999999,
    0.5824000000000001,
    0.3504000000000001,
    0.31750000000000006,
    0.2566999999999998,
    0.4518000000000001,
    0.5676000000000001,
    0.3454999999999999,
    0.3239000000000002,
    0.5408999999999998,
    0.45789999999999986,
    0.5337000000000001,
    0.5021,
    0.49860000000000004,
    0.4543000000000001,
    0.5281999999999999,
    0.5201999999999999,
    0.3122000000000001,
    0.44549999999999995,
    0.4696,
    0.4900999999999999,
    0.41679999999999995,
    0.22749999999999998,
    0.4625,
    0.2546,
    0.49379999999999996,
    0.4165000000000001,
    0.48029999999999995,
    0.4784,
    0.477,
    0.278,
    0.4577000000000001,
    0.5637999999999999,
    0.25440000000000007,
    0.2251999999999999,
    0.4755999999999999,
    0.4438999999999999,
    0.36460000000000015,
    0.4394999999999999,
    0.24439999999999992,
    0.43800000000000017,
    0.23789999999999997,
    0.42510000000000003,
    0.24789999999999998,
    0.4434000000000001,
    0.2397000000000001,
    0.5163,
    0.43920000000000015,
    0.5191,
    0.25810000000000005,
    0.20700000000000005,
    0.2768999999999999,
    0.44749999999999995,
    0.4554000000000001,
    0.4630999999999999,
    0.47050000000000003,
    0.48860000000000015,
    0.4421999999999999,
    0.43879999999999997,
    0.4840000000000001,
    0.4536,
    0.4371,
    0.23739999999999994,
    0.40900000000000003,
    0.20829999999999999,
    0.2132,
    0.2537000000000001,
    0.4095,
    0.4816000000000001,
    0.4293000000000002,
    0.5312000000000001,
    0.2785,
    0.31300000000000017,
    0.3319,
    0.571,
    0.34559999999999996,
    0.5153999999999999,
    0.5125999999999998,
    0.3184000000000002,
    0.4595,
    0.5209999999999999,
    0.5247000000000002,
    0.5219999999999998,
    0.4772999999999999,
    0.5313999999999999,
    0.49290000000000006,
    0.2728999999999999,
    0.4419999999999998,
    0.27199999999999996,
    0.5189000000000001,
    0.5380999999999999,
    0.5213000000000001,
    0.49540000000000006,
    0.5282000000000001,
    0.5811,
    0.5002,
    0.5218000000000002,
    0.4492999999999999,
    0.6001999999999997,
    0.5182000000000001,
    0.3022000000000001,
    0.34680000000000005,
    0.5059,
    0.5517000000000002,
    0.5024000000000001,
    0.24689999999999993,
    0.4823999999999999,
    0.2594,
    0.41069999999999995,
    0.1989,
    0.24220000000000005,
    0.451,
    0.4152,
    0.4149000000000001,
    0.29140000000000016,
    0.4826999999999999,
    0.2760999999999999,
    0.5203999999999999,
    0.3163000000000001,
    0.5099,
    0.29450000000000004,
    0.5271999999999999,
    0.3214999999999998,
    0.5125000000000002,
    0.5025000000000001,
    0.5314000000000003,
    0.23399999999999999,
    0.5301000000000002,
    0.5307000000000001,
    0.3044999999999999,
    0.2298000000000001,
    0.20420000000000002,
    0.2894000000000001,
    0.3954,
    0.43410000000000004,
    0.49639999999999995,
    0.26570000000000005,
    0.4104999999999999,
    0.25389999999999996,
    0.5079,
    0.511,
    0.4698000000000001,
    0.2597999999999999,
    0.31000000000000016,
    0.2366999999999999,
    0.43199999999999994,
    0.4111999999999999,
    0.4040000000000001,
    0.5074,
    0.5217000000000003,
    0.30770000000000014,
    0.5252,
    0.5346,
    0.4551999999999999,
    0.44679999999999986,
    0.31289999999999996,
    0.4867999999999999,
    0.4427,
    0.2122,
    0.3204999999999999,
    0.31259999999999993,
    0.30369999999999997,
    0.4397999999999999,
    0.5619,
    0.5543999999999999,
    0.30949999999999994,
    0.4719,
    0.36150000000000004,
    0.5454,
    0.5289,
    0.5491999999999999,
    0.5279999999999999,
    0.5325000000000001,
    0.501,
    0.5475999999999998,
    0.5189999999999999,
    0.5723999999999999,
    0.5531000000000001,
    0.28509999999999996,
    0.33680000000000004,
    0.5307000000000001,
    0.5782000000000002,
    0.3447000000000002,
    0.49290000000000006,
    0.34360000000000007,
    0.5950999999999999,
    0.3616000000000001,
    0.30400000000000016,
    0.385,
    0.5911999999999996,
    0.5143999999999999,
    0.30339999999999995,
    0.6110000000000001,
    0.2832,
    0.34330000000000005,
    0.5096,
    0.5135999999999998,
    0.4819999999999999,
    0.4687999999999999,
    0.45609999999999984,
    0.3066000000000001,
    0.4724,
    0.4769,
    0.43629999999999985,
    0.49369999999999997,
    0.4116,
    0.41290000000000004,
    0.40669999999999995,
    0.45150000000000007,
    0.44120000000000004,
    0.2750000000000001,
    0.6094000000000004,
    0.5111000000000002,
    0.5680999999999998,
    0.5350999999999999,
    0.5716,
    0.31639999999999996,
    0.5076999999999998,
    0.49700000000000005,
    0.4154999999999999,
    0.28160000000000013,
    0.2536,
    0.49920000000000025,
    0.4108,
    0.3012,
    0.2805999999999999,
    0.51585,
    0.53565,
    0.46525000000000016,
    0.48849999999999993,
    0.5434999999999998,
    0.5448000000000001,
    0.5053999999999998,
    0.4825000000000001,
    0.5542,
    0.33199999999999996,
    0.5297,
    0.4611,
    0.47700000000000004,
    0.5350999999999999,
    0.32880000000000004,
    0.47220000000000006,
    0.2664000000000001,
    0.43065000000000003,
    0.44005000000000005,
    0.26225000000000015,
    0.45935000000000004,
    0.24695,
    0.33035000000000003,
    0.48905000000000004
  ],
  "ppII": [
    0.13617990911006927,
    0.18733957409858704,
    0.2280118316411972,
    0.24377737939357758,
    0.23507145047187805,
    0.21147941052913666,
    0.17615202069282532,
    0.13814637064933777,
    0.10291318595409393,
    0.07429979741573334,
    0.04441849887371063,
    0.023099154233932495,
    0.011071905493736267,
    0.007240459322929382,
    0.008565932512283325,
    0.01257111132144928,
    0.01707671582698822,
    0.027374103665351868,
    0.03579351305961609,
    0.04915823042392731,
    0.06369392573833466,
    0.06926391273736954,
    0.0682927742600441,
    0.0767068937420845,
    0.09348053997382522,
    0.08863853523507714,
    0.07673978386446834,
    0.07797935185953975,
    0.07901656208559871,
    0.08621051488444209,
    0.09326473949477077,
    0.10288794105872512,
    0.12003296287730336,
    0.12685860274359584,
    0.14345851307734847,
    0.16816363902762532,
    0.18022110732272267,
    0.17278697760775685,
    0.14571472676470876,
    0.11792913684621453,
    0.10740148136392236,
    0.0987905622459948,
    0.09895095834508538,
    0.11076754191890359,
    0.12449694843962789,
    0.13677535532042384,
    0.14039360592141747,
    0.11346176033839583,
    0.09542259899899364,
    0.08968649478629231,
    0.09116312023252249,
    0.10309865931048989,
    0.11998156318441033,
    0.12371147284284234,
    0.12032537395134568,
    0.12489784555509686,
    0.13565586088225245,
    0.1438039606437087,
    0.13512912904843688,
    0.1329360562376678,
    0.12500523356720805,
    0.10086858598515391,
    0.09139097621664405,
    0.0875675743445754,
    0.09050183603540063,
    0.10544587066397071,
    0.12223248789086938,
    0.13821032317355275,
    0.13234017696231604,
    0.1337483781389892,
    0.13350515393540263,
    0.11641825782135129,
    0.1089011519216001,
    0.12103368248790503,
    0.127046933863312,
    0.1214906251989305,
    0.1150752711109817,
    0.11637151846662164,
    0.12612547585740685,
    0.14613759564235806,
    0.16941940179094672,
    0.1897125649265945,
    0.20895627047866583,
    0.19913448998704553,
    0.18084166524931788,
    0.1538813104853034,
    0.12375559704378247,
    0.09162166388705373,
    0.07257857592776418,
    0.06637696269899607,
    0.06400801008567214,
    0.06675607291981578,
    0.07771057542413473,
    0.0919137904420495,
    0.10343937901780009,
    0.12505542393773794,
    0.13722484977915883,
    0.12857215711846948,
    0.10712649254128337,
    0.09022474940866232,
    0.08034115191549063,
    0.07928041275590658,
    0.08294489746913314,
    0.08367525087669492,
    0.08819514838978648,
    0.09154721209779382,
    0.09771931497380137,
    0.0984596973285079,
    0.10054631857201457,
    0.10671294899657369,
    0.11955418763682246,
    0.14397325785830617,
    0.1503936001099646,
    0.1476134336553514,
    0.13789991196244955,
    0.12433720799162984,
    0.09992897277697921,
    0.08416650304570794,
    0.07533734943717718,
    0.08389248000457883,
    0.09415007242932916,
    0.11123214242979884,
    0.11958348145708442,
    0.12144415685907006,
    0.10518233152106404,
    0.08825077163055539,
    0.08415000792592764,
    0.08683950360864401,
    0.09799178363755345,
    0.08779513742774725,
    0.08520459244027734,
    0.08423524256795645,
    0.10818041255697608,
    0.13150153309106827,
    0.14842651458457112,
    0.1694762664847076,
    0.18114133505150676,
    0.1796235595829785,
    0.15122732846066356,
    0.12901931116357446,
    0.1124987667426467,
    0.10606589028611779,
    0.09238532092422247,
    0.08059286745265126,
    0.08383363531902432,
    0.09117150632664561,
    0.10390395810827613,
    0.12445053784176707,
    0.14141703257337213,
    0.145459464751184,
    0.13781650038436055,
    0.1390080009587109,
    0.13732083467766643,
    0.1409491808153689,
    0.13755242200568318,
    0.14124928461387753,
    0.16407083859667182,
    0.1911001461558044,
    0.22184641426429152,
    0.2252926486544311,
    0.2214540126733482,
    0.21942159859463573,
    0.21470940904691815,
    0.20427352050319314,
    0.19247651705518365,
    0.1957485736347735,
    0.21290948474779725,
    0.2164699211716652,
    0.19737876998260617,
    0.18252578983083367,
    0.16398454131558537,
    0.16236798325553536,
    0.17984176287427545,
    0.20067435083910823,
    0.21336045255884528,
    0.21319941570982337,
    0.1874738452024758,
    0.1462032007984817,
    0.10664071748033166,
    0.06848451541736722,
    0.038902333937585354,
    0.032397494185715914,
    0.022424291353672743,
    0.019279133062809706,
    0.01329237874597311,
    0.025654356461018324,
    0.0351163512095809,
    0.049720223527401686,
    0.0654610013589263,
    0.08426712499931455,
    0.10192567436024547,
    0.11408259300515056,
    0.10558449383825064,
    0.09193212864920497,
    0.08243971690535545,
    0.08358337031677365,
    0.09160516830161214,
    0.0845152991823852,
    0.08601459441706538,
    0.07625806657597423,
    0.08110240427777171,
    0.09523642109706998,
    0.1109543270431459,
    0.13132699485868216,
    0.1595642534084618,
    0.18378748651593924,
    0.20094789238646626,
    0.2010853555984795,
    0.20401665614917874,
    0.21573058376088738,
    0.23629891546443105,
    0.2546018874272704,
    0.26337172742933035,
    0.267430713865906,
    0.26319762179628015,
    0.2641119691543281,
    0.2547700167633593,
    0.24396852916106582,
    0.23792900796979666,
    0.21777710085734725,
    0.20050550578162074,
    0.18561859102919698,
    0.1702499003149569,
    0.1543678236193955,
    0.14565979735925794,
    0.15335910627618432,
    0.17426326731219888,
    0.18678038707002997,
    0.17623149463906884,
    0.1494097146205604,
    0.1347146718762815,
    0.12682614801451564,
    0.1397118871100247,
    0.15201619872823358,
    0.1635897015221417,
    0.1889314609579742,
    0.1945495163090527,
    0.19937900779768825,
    0.20702342735603452,
    0.19767395732924342,
    0.1870223986916244,
    0.16095748217776418,
    0.13559755263850093,
    0.13781431643292308,
    0.14832566352561116,
    0.1598502960987389,
    0.156019966583699,
    0.1451495965011418,
    0.10738786170259118,
    0.08559022005647421,
    0.0792474658228457,
    0.07456569699570537,
    0.07933622179552913,
    0.07458332786336541,
    0.07680866774171591,
    0.0936139589175582,
    0.10859128693118691,
    0.11731507536023855,
    0.1295764660462737,
    0.11801331071183085,
    0.10065525164827704,
    0.07656547473743558,
    0.0566554251126945,
    0.04368752893060446,
    0.04050055472180247,
    0.0467284326441586,
    0.04983538808301091,
    0.04500814853236079,
    0.054827654268592596,
    0.06295062182471156,
    0.07092901086434722,
    0.08577967761084437,
    0.09836254687979817,
    0.1133154472336173,
    0.1220595040358603,
    0.11331975972279906,
    0.10192917892709374,
    0.08844167413190007,
    0.07348064472898841,
    0.06162606971338391,
    0.04937646957114339,
    0.04373313533142209,
    0.038017775397747755,
    0.0468818680383265,
    0.057437348645180464,
    0.0850666775368154,
    0.07926626177504659,
    0.07491796091198921,
    0.0728914556093514,
    0.07556076580658555,
    0.08502089651301503,
    0.08736753463745117,
    0.09577980497851968,
    0.09729282557964325,
    0.0921868672594428,
    0.08689271053299308,
    0.08956514671444893,
    0.09680861281231046,
    0.10742996959015727,
    0.10745642380788922,
    0.11689575808122754,
    0.1347868968732655,
    0.15167707856744528,
    0.14705555653199553,
    0.1311800261028111,
    0.11901996936649084,
    0.10488586034625769,
    0.0931865549646318,
    0.09465543972328305,
    0.10197263536974788,
    0.10273259552195668,
    0.10222249617800117,
    0.10225668642669916,
    0.10981921153143048,
    0.10899909492582083,
    0.09925352083519101,
    0.09078275319188833,
    0.0804993617348373,
    0.06446546968072653,
    0.05917809298262,
    0.06270179804414511,
    0.0672631599009037,
    0.07332541141659021,
    0.08914855169132352,
    0.09762475499883294,
    0.09730517258867621,
    0.10967860696837306,
    0.11842171708121896,
    0.14120515948161483,
    0.16863833414390683,
    0.18757262220606208,
    0.17982293013483286,
    0.15631251083686948,
    0.14092918252572417,
    0.12392738880589604,
    0.10317559633404016,
    0.09183820988982916,
    0.0815935586579144,
    0.06823636731132865,
    0.05935346661135554,
    0.06002690689638257,
    0.07195004215463996,
    0.08907397836446762,
    0.11172201996669173,
    0.1262294021435082,
    0.13215122278779745,
    0.1375947049818933,
    0.13751667318865657,
    0.13896968076005578,
    0.13251676177605987,
    0.1269068131223321,
    0.10524442698806524,
    0.09089896129444242,
    0.08819229295477271,
    0.08629330573603511,
    0.08595365611836314,
    0.08080054726451635,
    0.07480303989723325,
    0.05991522828117013,
    0.054285319056361914,
    0.05758040538057685,
    0.06124702002853155,
    0.058977048844099045,
    0.06303582480177283,
    0.06920692836865783,
    0.07505017938092351,
    0.0877282745204866,
    0.09811672894284129,
    0.10191831830888987,
    0.08452087035402656,
    0.05945939989760518,
    0.04921609256416559,
    0.039701469242572784,
    0.047456853557378054,
    0.06350599555298686,
    0.07251763110980392,
    0.0866916193626821,
    0.09814230399206281,
    0.10930525744333863,
    0.11549910204485059,
    0.11927004950121045,
    0.12055362667888403,
    0.11562964972108603,
    0.09423854993656278,
    0.07400267478078604,
    0.06357855862006545,
    0.05462255980819464,
    0.04356063203886151,
    0.039679345209151506,
    0.04155693622305989,
    0.047607258427888155,
    0.0644423640333116,
    0.0880257966928184,
    0.11659159418195486,
    0.12073940085247159,
    0.10342158144339919,
    0.08290350111201406,
    0.06127230217680335,
    0.057214755564928055,
    0.05855824705213308,
    0.06801549950614572,
    0.07607959257438779,
    0.08930529747158289,
    0.09344266261905432,
    0.11014790926128626,
    0.127667382825166,
    0.14269302366301417,
    0.13023322448134422,
    0.10427088709548116,
    0.08196169743314385,
    0.06569555075839162,
    0.05913683446124196,
    0.06123449560254812,
    0.0729198595508933,
    0.07187432702630758,
    0.07570619648322463,
    0.06890394957736135,
    0.0689753401093185,
    0.07308100489899516,
    0.06333791324868798,
    0.046754876617342234,
    0.03683969471603632,
    0.024869082029908895,
    0.017485932912677526,
    0.021248395089060068,
    0.030085858423262835,
    0.04276202293112874,
    0.06989356176927686,
    0.08257322059944272,
    0.09225326823070645,
    0.11609787819907069,
    0.14200578397139907,
    0.16620352631434798,
    0.17377539025619626,
    0.19102048268541694,
    0.21117412950843573,
    0.21821471164003015,
    0.19910006737336516,
    0.16203536512330174,
    0.13345688674598932,
    0.1209903871640563,
    0.11459097312763333,
    0.10619600908830762,
    0.09505990007892251,
    0.08488217601552606,
    0.07394924061372876,
    0.07105456199496984,
    0.07611532742157578,
    0.08633994730189443,
    0.0935201314277947,
    0.10779631650075316,
    0.10961580323055387,
    0.10794444987550378,
    0.10738415690138936,
    0.11805363092571497,
    0.12301590526476502,
    0.12032606033608317,
    0.10146231111139059,
    0.09298893483355641,
    0.0915626990608871,
    0.08736761240288615,
    0.0815674695186317,
    0.07253619702532887,
    0.07060167985036969,
    0.07264508912339807,
    0.0759302913211286,
    0.08810449996963143,
    0.10546097299084067,
    0.1116019613109529,
    0.09885444398969412,
    0.10457928851246834,
    0.11326739238575101,
    0.12130003934726119,
    0.09657849417999387,
    0.07265421841293573,
    0.06018153624609113,
    0.05245715053752065,
    0.05111480597406626,
    0.037940305192023516,
    0.04387050773948431,
    0.05322715966030955,
    0.06615917617455125,
    0.07510655513033271,
    0.08124735997989774,
    0.08738938765600324,
    0.08203526819124818,
    0.09055085899308324,
    0.1119891693815589,
    0.12644815212115645,
    0.11485830461606383,
    0.09699785942211747,
    0.08163773780688643,
    0.07235642848536372,
    0.0572289009578526,
    0.03981486055999994,
    0.03900312399491668,
    0.04444295493885875,
    0.05254128249362111,
    0.0648028370924294,
    0.09088225057348609,
    0.10855624685063958,
    0.11006461596116424,
    0.10797451110556722,
    0.10800707247108221,
    0.10708037531003356,
    0.08658398175612092,
    0.06934651592746377,
    0.054668725933879614,
    0.04625673685222864,
    0.043691723607480526,
    0.04824769590049982,
    0.06450375402346253,
    0.08757120696827769,
    0.10806419188156724,
    0.09761375607922673,
    0.08273681113496423,
    0.07038906821981072,
    0.07483344152569771,
    0.08262347429990768,
    0.10056884493678808,
    0.10649322019889951,
    0.09794532880187035,
    0.08598166378214955,
    0.07574786292389035,
    0.07171687809750438,
    0.07296511949971318,
    0.06558879977092147,
    0.05744776735082269,
    0.05260750977322459,
    0.05112941795960069,
    0.04361815145239234,
    0.04120433237403631,
    0.04926268430426717,
    0.06103115528821945,
    0.08476186590269208,
    0.09804226132109761,
    0.11791700916364789,
    0.15127048222348094,
    0.188644427806139,
    0.20448608370497823,
    0.20606316719204187,
    0.19928560918197036,
    0.17498267069458961,
    0.14583591790869832,
    0.13256436912342906,
    0.12693773629143834,
    0.12309342715889215,
    0.13933071633800864,
    0.1446649064309895,
    0.13399453554302454,
    0.11658081179484725,
    0.09219869459047914,
    0.07600119290873408,
    0.07676359172910452,
    0.08220133231952786,
    0.09313499601557851,
    0.10326101677492261,
    0.11641356721520424,
    0.11468925653025508,
    0.12346265325322747,
    0.1264825859107077,
    0.1271679261699319,
    0.12095259455963969,
    0.09609592286869884,
    0.08780002500861883,
    0.08368351636454463,
    0.09423447726294398,
    0.10074484022334218,
    0.09163637086749077,
    0.08148122997954488,
    0.07365159736946225,
    0.06868512975051999,
    0.06067170528694987,
    0.05262326216325164,
    0.05067515140399337,
    0.0641999994404614,
    0.09376992797479033,
    0.12012887978926301,
    0.14208906656131148,
    0.14281227113679051,
    0.14925138745456934,
    0.14702046429738402,
    0.12756760092452168,
    0.09876721445471048,
    0.07589319022372365,
    0.06019725697115064,
    0.054723511915653944,
    0.062336962670087814,
    0.07368163159117103,
    0.08642135327681899,
    0.10190361039713025,
    0.11333343433216214,
    0.11834484664723277,
    0.12568128993734717,
    0.1222268589772284,
    0.105782984290272,
    0.0933207212947309,
    0.07868301635608077,
    0.06560189696028829,
    0.0543282856233418,
    0.05398618848994374,
    0.06249540811404586,
    0.06846546707674861,
    0.07955982955172658,
    0.072884741704911,
    0.08297840412706137,
    0.08766088215634227,
    0.0900444290600717,
    0.09087547427043319,
    0.09424706548452377,
    0.11114602163434029,
    0.13897773111239076,
    0.17881794134154916,
    0.2079660422168672,
    0.21846564207226038,
    0.21372903743758798,
    0.21778002474457026,
    0.2283792500384152,
    0.23289335099980235,
    0.21484244661405683,
    0.21116640092805028,
    0.21923466632142663,
    0.21584983821958303,
    0.22525663347914815,
    0.2083238735795021,
    0.1961253648623824,
    0.1786768725141883,
    0.16007518442347646,
    0.13833410805091262,
    0.11922826711088419,
    0.11292255809530616,
    0.10889590391889215,
    0.104864910710603,
    0.1062008230946958,
    0.11811473360285163,
    0.13130141468718648,
    0.13772791950032115,
    0.12431833473965526,
    0.09784092335030437,
    0.07587085710838437,
    0.05712649831548333,
    0.051738429348915815,
    0.06943311868235469,
    0.08271398721262813,
    0.09338732482865453,
    0.09797603962942958,
    0.09691765764728189,
    0.09219851670786738,
    0.0928217857144773,
    0.07883776305243373,
    0.07053039316087961,
    0.06501867016777396,
    0.06750704674050212,
    0.08815927198156714,
    0.10209755087271333,
    0.12078098580241203,
    0.1211969330906868,
    0.12608566554263234,
    0.13107884721830487,
    0.13698252337053418,
    0.145357224624604,
    0.156919049564749,
    0.19123532995581627,
    0.21767345210537314,
    0.2276961482129991,
    0.21067512826994061,
    0.1813035816885531,
    0.17318876134231687,
    0.16592365922406316,
    0.15808276925235987,
    0.1445615878328681,
    0.13624769495800138,
    0.12177579896524549,
    0.1117821610532701,
    0.10329478280618787,
    0.09514553099870682,
    0.09378747548907995,
    0.09696940379217267,
    0.11555994441732764,
    0.11950117675587535,
    0.13023545360192657,
    0.13732607709243894,
    0.1474089534021914,
    0.14827190106734633,
    0.14201846811920404,
    0.12081620842218399,
    0.10998314199969172,
    0.10568036185577512,
    0.10733590601012111,
    0.10313053010031581,
    0.07451688265427947,
    0.05345529364421964,
    0.049490407574921846,
    0.04730853484943509,
    0.04894712707027793,
    0.05268963472917676,
    0.05635620420798659,
    0.06600321875885129,
    0.0804956741631031,
    0.08633347740396857,
    0.09841382270678878,
    0.10225707711651921,
    0.1057913014665246,
    0.09134641801938415,
    0.07691573770716786,
    0.06450007949024439,
    0.05243803234770894,
    0.05011954251676798,
    0.05374661413952708,
    0.0681921518407762,
    0.08543950458988547,
    0.09487407794222236,
    0.10281251603737473,
    0.10971729038283229,
    0.10602871468290687,
    0.09713680949062109,
    0.08665906684473157,
    0.08001400949433446,
    0.07658553030341864,
    0.06710965605452657,
    0.05576428445056081,
    0.05256501631811261,
    0.06080953869968653,
    0.08604153105989099,
    0.11726426193490624,
    0.14647687738761306,
    0.15292196301743388,
    0.1416857917793095,
    0.11621113168075681,
    0.08999917423352599,
    0.06779712112620473,
    0.06659593572840095,
    0.0650653881020844,
    0.0684921839274466,
    0.07591600576415658,
    0.07939586695283651,
    0.08965869341045618,
    0.10594525095075369,
    0.1299738297238946,
    0.15504525462165475,
    0.16345365764573216,
    0.1520041679032147,
    0.11514327442273498,
    0.07342686876654625,
    0.05351705988869071,
    0.050158887170255184,
    0.06845716619864106,
    0.07936265738680959,
    0.0842216326855123,
    0.07905683247372508,
    0.07671727566048503,
    0.07688995869830251,
    0.07588837435469031,
    0.06809996720403433,
    0.06644674809649587,
    0.062326899729669094,
    0.05481144180521369,
    0.052379919681698084,
    0.0508504924364388,
    0.047975555527955294,
    0.0631987159140408,
    0.07680400693789124,
    0.091111502610147,
    0.10486596403643489,
    0.12549446104094386,
    0.1513342591933906,
    0.1696948674507439,
    0.155037309974432,
    0.13576809456571937,
    0.11630928190425038,
    0.09781828382983804,
    0.08170754881575704,
    0.07276454148814082,
    0.06430308939889073,
    0.06315546575933695,
    0.06976497825235128,
    0.07354878215119243,
    0.08603241527453065,
    0.09804389672353864,
    0.11467970395460725,
    0.12163112545385957,
    0.12059734668582678,
    0.11649987613782287,
    0.1136416313238442,
    0.11724939057603478,
    0.1224529049359262,
    0.130976730491966,
    0.124857930932194,
    0.11843438493087888,
    0.12107610795646906,
    0.12447528121992946,
    0.12507699569687247,
    0.11172551568597555,
    0.10948827164247632,
    0.11219363659620285,
    0.1079446910880506,
    0.1136979297734797,
    0.11932290345430374,
    0.12776671117171645,
    0.14154272200539708,
    0.15500237420201302,
    0.1690988359041512,
    0.1816349900327623,
    0.16956657310947776,
    0.15711868647485971,
    0.13157885381951928,
    0.10957209439948201,
    0.10297116031870246,
    0.09411972016096115,
    0.0930396756157279,
    0.10045985458418727,
    0.10366697376593947,
    0.10836026212200522,
    0.11445243144407868,
    0.12290037469938397,
    0.12478680955246091,
    0.12609534710645676,
    0.12370465602725744,
    0.12440372398123145,
    0.10532980179414153,
    0.09640442626550794,
    0.09004863863810897,
    0.07905641244724393,
    0.0738641251809895,
    0.06388861034065485,
    0.06914549972862005,
    0.08043425856158137,
    0.0961174569092691,
    0.10959236649796367,
    0.1422524913214147,
    0.15891304658725858,
    0.15346352383494377,
    0.1315754265524447,
    0.11536618461832404,
    0.11715560080483556,
    0.1300188829191029,
    0.14567971089854836,
    0.14867851557210088,
    0.15020568761974573,
    0.14416022645309567,
    0.13815920148044825,
    0.14076673379167914,
    0.1172783556394279,
    0.08985550748184323,
    0.06531724752858281,
    0.047538569662719965,
    0.03154591377824545,
    0.03593294695019722,
    0.04627041658386588,
    0.06134346779435873,
    0.0635685152374208,
    0.06396212801337242,
    0.05323902750387788,
    0.04834022466093302,
    0.04568065283820033,
    0.04476049309596419,
    0.04047420946881175,
    0.035599174443632364,
    0.030801215674728155,
    0.02626508381217718,
    0.03350525721907616,
    0.04066696856170893,
    0.0538880261592567,
    0.06643232051283121,
    0.07569371210411191,
    0.09140005288645625,
    0.11086733778938651,
    0.1418335339985788,
    0.1622366076335311,
    0.1582216559909284,
    0.13563076173886657,
    0.11826784675940871,
    0.11873996304348111,
    0.11167496116831899,
    0.09461978916078806,
    0.07992592360824347,
    0.05005957977846265,
    0.028861295897513628,
    0.012719871941953897,
    0.006825057324022055,
    0.007766603026539087,
    0.017556763254106045,
    0.034010039176791906,
    0.05793562205508351,
    0.0721122338436544,
    0.07618989422917366,
    0.07919853692874312,
    0.09343611309304833,
    0.09894666308537126,
    0.08385782036930323,
    0.06525397719815373,
    0.05170320300385356,
    0.0384540818631649,
    0.0310281696729362,
    0.03201152617111802,
    0.03056675521656871,
    0.04140835301950574,
    0.06612338218837976,
    0.0854067518375814,
    0.08681158861145377,
    0.08901602914556861,
    0.09325507702305913,
    0.11083845095708966,
    0.14919396117329597,
    0.1779634621925652,
    0.18707185611128807,
    0.17230987967923284,
    0.13977858517318964,
    0.1133234859444201,
    0.09589384170249104,
    0.09037662390619516,
    0.08282227488234639,
    0.09021217236295342,
    0.09562648413702846,
    0.10834072763100266,
    0.11622167518362403,
    0.12462936015799642,
    0.1329782851971686,
    0.138415546156466,
    0.15530949225649238,
    0.17909117694944143,
    0.20265556359663606,
    0.20198967633768916,
    0.18334705429151654,
    0.16331405565142632,
    0.12832405557855964,
    0.10487087862566113,
    0.09057667944580317,
    0.08493286231532693,
    0.08932676492258906,
    0.11402950016781688,
    0.15138113545253873,
    0.20123127242550254,
    0.21360538946464658,
    0.20893162116408348,
    0.20452481182292104,
    0.20466052228584886,
    0.20000805472955108,
    0.18098527239635587,
    0.14414217928424478,
    0.11127043655142188,
    0.10818801913410425,
    0.10952093359082937,
    0.12168487999588251,
    0.12258854554966092,
    0.11897605983540416,
    0.11453522322699428,
    0.12159634800627828,
    0.1103254440240562,
    0.09100514557212591,
    0.07002612622454762,
    0.05556886317208409,
    0.06511783506721258,
    0.07465504994615912,
    0.08186236163601279,
    0.08245954150334,
    0.08882277039811015,
    0.08213853416964412,
    0.0703519145026803,
    0.060394846834242344,
    0.05366294411942363,
    0.05052900407463312,
    0.037470127921551466,
    0.030221336521208286,
    0.01938045909628272,
    0.015917724929749966,
    0.01552700623869896,
    0.019264422822743654,
    0.030193667393177748,
    0.048612268175929785,
    0.06773285614326596,
    0.0977505105547607,
    0.1212164512835443,
    0.15314332768321037,
    0.17598125990480185,
    0.17950881412252784,
    0.1622966998256743,
    0.15135037060827017,
    0.1324422499164939,
    0.11544972332194448,
    0.10227997694164515,
    0.09110539313405752,
    0.07815990643575788,
    0.0691261705942452,
    0.06319540506228805,
    0.055313846562057734,
    0.05172012513503432,
    0.05329498555511236,
    0.0579988625831902,
    0.0651954379864037,
    0.07197034591808915,
    0.0826017395593226,
    0.08353489311411977,
    0.09081553528085351,
    0.10111306374892592,
    0.10497602913528681,
    0.10368984844535589,
    0.08383633522316813,
    0.0745725934393704,
    0.07003852305933833,
    0.06149072339758277,
    0.05359710333868861,
    0.04695006879046559,
    0.031781547237187624,
    0.028869821224361658,
    0.02849946217611432,
    0.0367132849059999,
    0.050909892190247774,
    0.07063819840550423,
    0.09005520725622773,
    0.10331801092252135,
    0.12369015952572227,
    0.14863231405615807,
    0.1449480396695435,
    0.13879036996513605,
    0.1158847026526928,
    0.09216996701434255,
    0.07589653972536325,
    0.06826580734923482,
    0.070736198220402,
    0.08551680622622371,
    0.09927550470456481,
    0.11511133750900626,
    0.135525353718549,
    0.15802277950569987,
    0.16676168236881495,
    0.16757070319727063,
    0.1691765901632607,
    0.17423492716625333,
    0.1503687691874802,
    0.11261151125654578,
    0.08818542724475265,
    0.07149083213880658,
    0.058421843219548464,
    0.04554488928988576,
    0.04283797414973378,
    0.04972372530028224,
    0.06510361796244979,
    0.0747472676448524,
    0.0897175227291882,
    0.10410719132050872,
    0.09684945410117507,
    0.08386526117101312,
    0.060591484885662794,
    0.03939146175980568,
    0.028363636694848537,
    0.02794004837051034,
    0.022276584524661303,
    0.02812522742897272,
    0.03156508086249232,
    0.04019956383854151,
    0.05386289255693555,
    0.06710654078051448,
    0.08106373576447368,
    0.07986352266743779,
    0.056928268168121576,
    0.03294761711731553,
    0.026915792375802994,
    0.024654102977365255,
    0.0313600217923522,
    0.03601818764582276,
    0.034763965755701065,
    0.027697091456502676,
    0.028090484905987978,
    0.03278119442984462,
    0.0407973388209939,
    0.03575244313105941,
    0.03068020846694708,
    0.024173013865947723,
    0.0213832869194448,
    0.019214638974517584,
    0.022877404931932688,
    0.027776699978858232,
    0.03085403237491846,
    0.045044992584735155,
    0.057943653780967,
    0.0761403706856072,
    0.09292431501671672,
    0.10222769621759653,
    0.10064008506014943,
    0.09050413873046637,
    0.07788888225331903,
    0.06710227346047759,
    0.06241486733779311,
    0.05919830547645688,
    0.05228334339335561,
    0.03616725001484156,
    0.029052042867988348,
    0.02637928770855069,
    0.03439336782321334,
    0.04621138330549002,
    0.0646166568621993,
    0.08639680640771985,
    0.0998778035864234,
    0.11755353724583983,
    0.14035403402522206,
    0.15760104870423675,
    0.1667787260375917,
    0.1574058630503714,
    0.13918018946424127,
    0.11484369030222297,
    0.08782479213550687,
    0.06022860715165734,
    0.03805872378870845,
    0.03450438054278493,
    0.03883785521611571,
    0.04694502102211118,
    0.04062908794730902,
    0.03240373590961099,
    0.045061403419822454,
    0.07307411497458816,
    0.0826469287276268,
    0.08508913591504097,
    0.08837321819737554,
    0.09762803884223104,
    0.1129534742794931,
    0.12354044709354639,
    0.14229562366381288,
    0.15366208227351308,
    0.15260605607181787,
    0.13914136262610555,
    0.13995404122397304,
    0.13414623169228435,
    0.13207931583747268,
    0.1365455281920731,
    0.1408853712491691,
    0.15977273974567652,
    0.16768599441275,
    0.16120814764872193,
    0.1600322090089321,
    0.15461709769442677,
    0.1503743319772184,
    0.13982066931203008,
    0.12592498632147908,
    0.11727991607040167,
    0.10507572954520583,
    0.09112837305292487,
    0.07540461095049977,
    0.0663825529627502,
    0.06541702197864652,
    0.06798719288781285,
    0.06797863589599729,
    0.07430977514013648,
    0.08466177014634013,
    0.09629858424887061,
    0.07796477107331157,
    0.05870761489495635,
    0.04428843781352043,
    0.030163008254021406,
    0.02861095266416669,
    0.03157905116677284,
    0.04711517272517085,
    0.0728743658401072,
    0.09137072414159775,
    0.11015524063259363,
    0.10982029465958476,
    0.11193481180816889,
    0.10858973627910018,
    0.08779548155143857,
    0.06293964479118586,
    0.05216231243684888,
    0.06100424798205495,
    0.06587408157065511,
    0.07415401097387075,
    0.07463546982035041,
    0.08092910936102271,
    0.08546545123681426,
    0.09117418015375733,
    0.10262787668034434,
    0.10956206591799855,
    0.10942886071279645,
    0.08789389999583364,
    0.07316563185304403,
    0.07306127669289708,
    0.06441248627379537,
    0.06746457191184163,
    0.07500258507207036,
    0.08697782550007105,
    0.10395251540467143,
    0.1053128601051867,
    0.10836787661537528,
    0.12370907096192241,
    0.13689468102529645,
    0.1154065546579659,
    0.09658545488491654,
    0.08344845147803426,
    0.07312526600435376,
    0.06499943789094687,
    0.055381701327860355,
    0.04545369418337941,
    0.042904854752123356,
    0.04840781958773732,
    0.046657313127070665,
    0.03567261155694723,
    0.04474603710696101,
    0.04998222412541509,
    0.056481138337403536,
    0.05721410224214196,
    0.05353825958445668,
    0.047212866600602865,
    0.0507802446372807,
    0.053353001829236746,
    0.057273164857178926,
    0.056467568036168814,
    0.04506629006937146,
    0.048040867783129215,
    0.035173777025192976,
    0.0299387164413929,
    0.024340800940990448,
    0.027485296595841646,
    0.03314764564856887,
    0.03817664226517081,
    0.044291234109550714,
    0.04492180934175849,
    0.05018906341865659,
    0.047481031622737646,
    0.03639369131997228,
    0.032502575777471066,
    0.040289854165166616,
    0.03866531094536185,
    0.04246916249394417,
    0.04228575900197029,
    0.028823727276176214,
    0.014745780266821384,
    0.009397522546350956,
    0.013962534721940756,
    0.02695927442982793,
    0.034412459935992956,
    0.05193878384307027,
    0.07219228195026517,
    0.06651247665286064,
    0.05773860355839133,
    0.05427096551284194,
    0.055240496061742306,
    0.06477784784510732,
    0.07116535352542996,
    0.07843192340806127,
    0.08572351699694991,
    0.07410213397815824,
    0.06767583871260285,
    0.056325234938412905,
    0.04169992683455348,
    0.03260294487699866,
    0.024055313784629107,
    0.031075016129761934,
    0.05369500396773219,
    0.06577443750575185,
    0.07814877899363637,
    0.08655710378661752,
    0.08788279863074422,
    0.08550620963796973,
    0.08321922784671187,
    0.0770716299302876,
    0.06974067119881511,
    0.059761939104646444,
    0.04901798674836755,
    0.046513004694134,
    0.04294035350903869,
    0.03787052305415273,
    0.03142131166532636,
    0.032644452061504126,
    0.034188815858215094,
    0.03799162385985255,
    0.05905400309711695,
    0.07903920207172632,
    0.10301790898665786,
    0.131846287753433,
    0.15506253158673644,
    0.1582602052949369,
    0.14620961667969823,
    0.13509133970364928,
    0.12808083230629563,
    0.12491832347586751,
    0.12289013061672449,
    0.12533240905031562,
    0.12672957871109247,
    0.10953781520947814,
    0.09015609370544553,
    0.07575036631897092,
    0.056151476223021746,
    0.04138534143567085,
    0.026482072193175554,
    0.028603326994925737,
    0.027210143860429525,
    0.02429633727297187,
    0.023807385470718145,
    0.02920296834781766,
    0.04308127472177148,
    0.05174626084044576,
    0.055129211861640215,
    0.055614914279431105,
    0.06250284938141704,
    0.06604682980105281,
    0.06806944077834487,
    0.07275763805955648,
    0.0743149253539741,
    0.0761181958951056,
    0.07758656283840537,
    0.08727599820122123,
    0.1015194016508758,
    0.11177525715902448,
    0.09015984879806638,
    0.06977706495672464,
    0.0574236405082047,
    0.04382591927424073,
    0.039815299678593874,
    0.04637254262343049,
    0.049804653972387314,
    0.06132476683706045,
    0.0755108562298119,
    0.08573269518092275,
    0.07317148055881262,
    0.05399851640686393,
    0.03835300030186772,
    0.03124662907794118,
    0.02539777895435691,
    0.0291243358515203,
    0.03251437470316887,
    0.03547200607135892,
    0.04098690440878272,
    0.04384542489424348,
    0.05631463881582022,
    0.06660374021157622,
    0.07411316456273198,
    0.08604521630331874,
    0.09931755205616355,
    0.10317199025303125,
    0.11884027812629938,
    0.1209183749742806,
    0.10805975273251534,
    0.09267075406387448,
    0.08253729017451406,
    0.0825508525595069,
    0.07633014814928174,
    0.06871768413111567,
    0.07534670131281018,
    0.07768975989893079,
    0.08808026881888509,
    0.10650312807410955,
    0.11586867040023208,
    0.119558225851506,
    0.11703991936519742,
    0.11272461479529738,
    0.10851073311641812,
    0.11657082056626678,
    0.12563588889315724,
    0.114907450042665,
    0.1099879085086286,
    0.10859361384063959,
    0.12817834364250302,
    0.15938688861206174,
    0.18609050521627069,
    0.1864825147204101,
    0.18463944038376212,
    0.16810782672837377,
    0.16468896018341184,
    0.17056347476318479,
    0.150366076733917,
    0.1340670078061521,
    0.11151967709884048,
    0.09836675645783544,
    0.08389720460399985,
    0.08274816628545523,
    0.07382372347638011,
    0.06361870095133781,
    0.05848065763711929,
    0.06921176193282008,
    0.08594841882586479,
    0.1057157781906426,
    0.1278587612323463,
    0.1388571378774941,
    0.1368195926770568,
    0.15021055983379483,
    0.1437579756602645,
    0.14788053976371884,
    0.15135935274884105,
    0.14558757422491908,
    0.1392514961771667,
    0.1316643445752561,
    0.12623978545889258,
    0.13513993797823787,
    0.15256149414926767,
    0.17415206786245108,
    0.17508453922346234,
    0.14803959475830197,
    0.11600094428285956,
    0.09032806055620313,
    0.08117201551795006,
    0.0800361642614007,
    0.08574656071141362,
    0.09031041013076901,
    0.10970094706863165,
    0.11909127281978726,
    0.12493899557739496,
    0.12928513763472438,
    0.11743408488109708,
    0.09479081956669688,
    0.08070491859689355,
    0.07707217009738088,
    0.07948044268414378,
    0.08390702959150076,
    0.0850660135038197,
    0.09456696268171072,
    0.11678554164245725,
    0.12469046469777822,
    0.11080448376014829,
    0.10221809474751353,
    0.09577680705115199,
    0.09879349078983068,
    0.11122740199789405,
    0.12167076067999005,
    0.12187801348045468,
    0.12845028983429074,
    0.1451320364139974,
    0.1668787826783955,
    0.1664670491591096,
    0.1380805536173284,
    0.10506188264116645,
    0.07799854455515742,
    0.06032113032415509,
    0.057232752442359924,
    0.07625635014846921,
    0.10271009104326367,
    0.1361492401920259,
    0.14030487928539515,
    0.11689338693395257,
    0.09421164449304342,
    0.10432434128597379,
    0.13280445663258433,
    0.1586195593699813,
    0.18684569047763944,
    0.18292716750875115,
    0.17173415096476674,
    0.15599018661305308,
    0.14459301298484206,
    0.14474862860515714,
    0.13200362352654338,
    0.11908839317038655,
    0.10135826794430614,
    0.08693956164643168,
    0.08498560776934028,
    0.08256979333236814,
    0.08081016456708312,
    0.08645029040053487,
    0.10254200967028737,
    0.12292883964255452,
    0.15036599710583687,
    0.1656334581784904,
    0.14955537347123027,
    0.12297148397192359,
    0.09222310036420822,
    0.07270704256370664,
    0.0529360449872911,
    0.05737524526193738,
    0.06316333590075374,
    0.07756106881424785,
    0.09641890553757548,
    0.088781185913831,
    0.07606032397598028,
    0.06457800464704633,
    0.06125688459724188,
    0.05295358179137111,
    0.04057025071233511,
    0.02775890426710248,
    0.030899338889867067,
    0.033992675598710775,
    0.0385557203553617,
    0.03694390645250678,
    0.041624478064477444,
    0.05233445065096021,
    0.0554970889352262,
    0.05262939212843776,
    0.054547037463635206,
    0.04798034066334367,
    0.04281602846458554,
    0.04925932874903083,
    0.058916745241731405,
    0.054179349448531866,
    0.03693128516897559,
    0.02657219674438238,
    0.03644983796402812,
    0.053135689813643694,
    0.07710933592170477,
    0.08879103744402528,
    0.07901193108409643,
    0.07624822994694114,
    0.06916403025388718,
    0.06650471081957221,
    0.05352343758568168,
    0.04246383532881737,
    0.040787160862237215,
    0.034114543814212084,
    0.030095563735812902,
    0.037654058542102575,
    0.045507794711738825,
    0.05783520033583045,
    0.059318716172128916,
    0.05269532697275281,
    0.045500985346734524,
    0.048344817478209734,
    0.047477352898567915,
    0.047355052549391985,
    0.043724935967475176,
    0.05830965610221028,
    0.07778552081435919,
    0.10392640205100179,
    0.13804527698084712,
    0.15656731184571981,
    0.14801386138424277,
    0.13239822210744023,
    0.11802750127390027,
    0.10803526965901256,
    0.11143190413713455,
    0.12141674850136042,
    0.13938540359959006,
    0.1498597003519535,
    0.14949113735929132,
    0.1585736465640366,
    0.16774210380390286,
    0.17517374828457832,
    0.1820491529069841,
    0.16670008841902018,
    0.1569308121688664,
    0.16239173943176866,
    0.15901939338073134,
    0.1402719714678824,
    0.11585259111598134,
    0.08389198174700141,
    0.07129025598987937,
    0.06445632176473737,
    0.06694038072600961,
    0.06742578325793147,
    0.07485151337459683,
    0.08408487727865577,
    0.10234896233305335,
    0.12005909672006965,
    0.13990394165739417,
    0.1455566263757646,
    0.13784017274156213,
    0.14096544263884425,
    0.14309303043410182,
    0.13514248793944716,
    0.14034735737368464,
    0.17124221520498395,
    0.18373091844841838,
    0.19674546783789992,
    0.2043859069235623,
    0.223820679821074,
    0.2258211257867515,
    0.2061652010306716,
    0.19014103198423982,
    0.1539958342909813,
    0.12709734635427594,
    0.11418053274974227,
    0.10594656551256776,
    0.09878253703936934,
    0.10088233137503266,
    0.10784678068011999,
    0.10657456424087286,
    0.11035688640549779,
    0.10999297676607966,
    0.10179825453087687,
    0.09227622719481587,
    0.075221236795187,
    0.05924702016636729,
    0.05038096755743027,
    0.0548289162106812,
    0.060783404391258955,
    0.07272617192938924,
    0.08970883069559932,
    0.11107373982667923,
    0.11090370593592525,
    0.11626557586714625,
    0.11680311756208539,
    0.11404297081753612,
    0.09469922678545117,
    0.0793721186928451,
    0.07659026002511382,
    0.08002363750711083,
    0.09097244357690215,
    0.10748929297551513,
    0.12757107010111213,
    0.14454290783032775,
    0.136462458409369,
    0.13263180200010538,
    0.13740260200574994,
    0.14054739568382502,
    0.12854027142748237,
    0.12535532703623176,
    0.11912904446944594,
    0.1184497238136828,
    0.10466807847842574,
    0.0997113874182105,
    0.10956385871395469,
    0.1276049050502479,
    0.14443477569147944,
    0.13409760687500238,
    0.11041925475001335,
    0.10428788093850017,
    0.11713906796649098,
    0.16052366700023413,
    0.19474042253568769,
    0.20502948807552457,
    0.18699064711108804,
    0.16763041773810983,
    0.16268536681309342,
    0.1553355040960014,
    0.14068830898031592,
    0.13280504429712892,
    0.12743511190637946,
    0.11476107267662883,
    0.09566672192886472,
    0.07733476487919688,
    0.057222824078053236,
    0.05434704618528485,
    0.05553942592814565,
    0.0662800082936883,
    0.0780133274383843,
    0.09143907716497779,
    0.09021704224869609,
    0.07997481105849147,
    0.06710272701457143,
    0.06684900494292378,
    0.07852078648284078,
    0.09449430136010051,
    0.1075253370217979,
    0.12038552528247237,
    0.128673258703202,
    0.12163199903443456,
    0.10155322821810842,
    0.08966022310778499,
    0.08261630730703473,
    0.06832674983888865,
    0.07540249219164252,
    0.08789813099429011,
    0.09399311756715178,
    0.08437549322843552,
    0.09113149018958211,
    0.09451999422162771,
    0.1129802861250937,
    0.13264930387958884,
    0.12753657763823867,
    0.12128091184422374,
    0.11871710466220975,
    0.11515903240069747,
    0.0914285546168685,
    0.08479400398209691,
    0.07930399151518941,
    0.07570375548675656,
    0.07037302618846297,
    0.06589791271835566,
    0.07467791019007564,
    0.08348968951031566,
    0.10319706471636891,
    0.11751262610778213,
    0.11378556583076715,
    0.11014897143468261,
    0.1134881884790957,
    0.1251816633157432,
    0.14854865660890937,
    0.16252131387591362,
    0.158439873252064,
    0.13223150046542287,
    0.10719527723267674,
    0.07572417287155986,
    0.06684077670797706,
    0.05997671838849783,
    0.053408287931233644,
    0.04273103503510356,
    0.03970876382663846,
    0.0321050644852221,
    0.029260626528412104,
    0.03166948910802603,
    0.048830642364919186,
    0.06388184102252126,
    0.07579647889360785,
    0.07317706989124417,
    0.08100925479084253,
    0.108985077124089,
    0.13823491986840963,
    0.14920837339013815,
    0.13309621857479215,
    0.10520255798473954,
    0.0934896138496697,
    0.08726878790184855,
    0.09404717711731791,
    0.11804459383711219,
    0.1350354109890759,
    0.140744102653116,
    0.13122599245980382,
    0.12203221675008535,
    0.10920244688168168,
    0.10205804975703359,
    0.10525422310456634,
    0.11517850961536169,
    0.1251344052143395,
    0.12561848806217313,
    0.11122239427641034,
    0.09726697253063321,
    0.09436198649927974,
    0.0903830942697823,
    0.07904847618192434,
    0.06924293329939246,
    0.059736866038292646,
    0.052554022055119276,
    0.034802022855728865,
    0.03651703568175435,
    0.04861033754423261,
    0.04791133897379041,
    0.056298496667295694,
    0.0569882751442492,
    0.05184929585084319,
    0.04030420957133174,
    0.03064439445734024,
    0.02776974020525813,
    0.04034548485651612,
    0.03024053992703557,
    0.028692433144897223,
    0.0410996382124722,
    0.058275777380913496,
    0.07535103755071759,
    0.08171775983646512,
    0.0843776292167604,
    0.08691031252965331,
    0.08104440616443753,
    0.07372489804401994,
    0.06367050902917981,
    0.05980708543211222,
    0.05529131414368749,
    0.07048324914649129,
    0.09366574510931969,
    0.11317330226302147,
    0.14829377457499504,
    0.18762920843437314,
    0.20420086150988936,
    0.17394430516287684,
    0.12275620037689805,
    0.07874265965074301,
    0.0541296717710793,
    0.03722223965451121,
    0.03142832638695836,
    0.033402306493371725,
    0.046400913503021,
    0.04314975347369909,
    0.04378381511196494,
    0.05133586283773184,
    0.0602163034491241,
    0.0623369594104588,
    0.06863225344568491,
    0.07530940370634198,
    0.08637916808947921,
    0.09572253050282598,
    0.12476411228999496,
    0.1664665718562901,
    0.2000432969070971,
    0.20268076052889228,
    0.17155361967161298,
    0.13983889250084758,
    0.11203956929966807,
    0.09764279006049037,
    0.08938991418108344,
    0.07581690745428205,
    0.07576492568477988,
    0.08066352363675833,
    0.08871420891955495,
    0.100260014180094,
    0.10670333728194237,
    0.10498562129214406,
    0.11257513286545873,
    0.12201875122264028,
    0.12832318898290396,
    0.12492815824225545,
    0.10495380545035005,
    0.07933110138401389,
    0.03611963288858533,
    0.014239741023629904,
    0.00920172082260251,
    0.013613209128379822,
    0.02038143901154399,
    0.03994711069390178,
    0.044795379508286715,
    0.05275952909141779,
    0.07125315582379699,
    0.09217137889936566,
    0.09776696609333158,
    0.09885525470599532,
    0.09266108041629195,
    0.08926561148837209,
    0.08271473692730069,
    0.07620304403826594,
    0.05981475533917546,
    0.04627989884465933,
    0.04909666394814849,
    0.05260453512892127,
    0.05617194715887308,
    0.062409262638539076,
    0.06209579901769757,
    0.06656155223026872,
    0.07555560767650604,
    0.08614502847194672,
    0.0956643340177834,
    0.08625459345057607,
    0.07766997441649437,
    0.07704249816015363,
    0.07751550944522023,
    0.0754852625541389,
    0.08364762784913182,
    0.09821510082110763,
    0.11357713071629405,
    0.13346485840156674,
    0.14149606321007013,
    0.1364098866470158,
    0.1417207201011479,
    0.13964672153815627,
    0.13797542778775096,
    0.11293186247348785,
    0.09494994999840856,
    0.07689809566363692,
    0.0753463669680059,
    0.08116946881636977,
    0.08950185170397162,
    0.10962228896096349,
    0.13639470282942057,
    0.17442659195512533,
    0.19175303308293223,
    0.18182229762896895,
    0.15300650987774134,
    0.12915642792358994,
    0.11171445669606328,
    0.09840915678068995,
    0.08540312061086297,
    0.08120109979063272,
    0.07945908233523369,
    0.07974399952217937,
    0.09100455371662974,
    0.10827252035960555,
    0.10853507043793797,
    0.10953422961756587,
    0.11877325503155589,
    0.10231442423537374,
    0.09421988716349006,
    0.10803815489634871,
    0.12826817389577627,
    0.131320268381387,
    0.13439285522326827,
    0.14905902510508895,
    0.18340271478518844,
    0.20490477560088038,
    0.1932584303431213,
    0.16598989674821496,
    0.11958181904628873,
    0.09020174341276288,
    0.06943966541439295,
    0.06651985226199031,
    0.06621013348922133,
    0.06289294408634305,
    0.0639710403047502,
    0.06893437262624502,
    0.0719370162114501,
    0.07602103380486369,
    0.08053189655765891,
    0.07458396162837744,
    0.07556583313271403,
    0.08438958274200559,
    0.09109240537509322,
    0.11487569147720933,
    0.13780862418934703,
    0.16017755633220077,
    0.1689572622999549,
    0.1697231656871736,
    0.16931554256007075,
    0.16794169275090098,
    0.16725774994120002,
    0.16862414358183742,
    0.17237880965694785,
    0.15351199777796865,
    0.14966408675536513,
    0.15528793493285775,
    0.17534902086481452,
    0.19834713311865926,
    0.21412647934630513,
    0.22060900693759322,
    0.2030677911825478,
    0.17270342679694295,
    0.15010084817185998,
    0.1362253543920815,
    0.11997919855639338,
    0.11306347465142608,
    0.10847879108041525,
    0.11440601712092757,
    0.1006397339515388,
    0.08982876036316156,
    0.0816452163271606,
    0.07202526228502393,
    0.06402675900608301,
    0.06243128841742873,
    0.062438421882689,
    0.06391012761741877,
    0.07820127485319972,
    0.09349626349285245,
    0.11037706723436713,
    0.11513489531353116,
    0.11821334110572934,
    0.11744705913588405,
    0.10224829660728574,
    0.08353925822302699,
    0.07874394534155726,
    0.07459761621430516,
    0.06675029592588544,
    0.06795371230691671,
    0.06637334870174527,
    0.06614963710308075,
    0.0766542935743928,
    0.08944814512506127,
    0.09829229349270463,
    0.0944942613132298,
    0.09168459568172693,
    0.09973782207816839,
    0.10826503532007337,
    0.1270954911597073,
    0.129253966268152,
    0.1305212234146893,
    0.1319782892242074,
    0.1514340448193252,
    0.18004686711356044,
    0.21596291568130255,
    0.23407226474955678,
    0.23061973182484508,
    0.21865444257855415,
    0.19036367209628224,
    0.18444351898506284,
    0.16664906358346343,
    0.14980556163936853,
    0.13632350275292993,
    0.1454515908844769,
    0.17269175499677658,
    0.19797504367306828,
    0.1955670532770455,
    0.1763962390832603,
    0.17148879216983914,
    0.16658001439645886,
    0.17628875048831105,
    0.16419282322749496,
    0.128096807282418,
    0.10461980709806085,
    0.09453244553878903,
    0.09531739121302962,
    0.10220941063016653,
    0.10798168228939176,
    0.12283286778256297,
    0.13707200018689036,
    0.14703671680763364,
    0.14979469357058406,
    0.1562888720072806,
    0.14134230790659785,
    0.14574651326984167,
    0.14111239975318313,
    0.1486876611597836,
    0.1566391666419804,
    0.1624702592380345,
    0.1644745054654777,
    0.16601222334429622,
    0.17787210689857602,
    0.17991123348474503,
    0.1594149461016059,
    0.12468981323763728,
    0.09699016390368342,
    0.09293562080711126,
    0.10224376665428281,
    0.10932223545387387,
    0.12336784275248647,
    0.14822858152911067,
    0.167907711584121,
    0.17636711988598108,
    0.17461350234225392,
    0.16235649166628718,
    0.1477515255101025,
    0.1249934989027679,
    0.12212651129812002,
    0.11932733980938792,
    0.11425124341621995,
    0.11589239770546556,
    0.11947404174134135,
    0.11221027048304677,
    0.09676119266077876,
    0.084997174795717,
    0.07616011099889874,
    0.0727900299243629,
    0.06054940400645137,
    0.05339291738346219,
    0.03786178678274155,
    0.03449749993160367,
    0.03335224697366357,
    0.03982028132304549,
    0.05585011141374707,
    0.06869455752894282,
    0.07920723734423518,
    0.08239165833219886,
    0.0832339683547616,
    0.09202448604628444,
    0.10306315962225199,
    0.1079522524960339,
    0.10212185652926564,
    0.11552852718159556,
    0.12755743553861976,
    0.1436241460032761,
    0.15954479901120067,
    0.1630635359324515,
    0.16678344504907727,
    0.15604993188753724,
    0.13897016691043973,
    0.12102591572329402,
    0.11377274291589856,
    0.1026339647360146,
    0.09881980624049902,
    0.09192113485187292,
    0.09390402166172862,
    0.10752690257504582,
    0.1119231772609055,
    0.12216507503762841,
    0.12420798325911164,
    0.11272013280540705,
    0.11088664224371314,
    0.11698820488527417,
    0.13143647881224751,
    0.14523201761767268,
    0.1478503947146237,
    0.13308911863714457,
    0.13298136042430997,
    0.12771367421373725,
    0.1129741701297462,
    0.10995262116193771,
    0.09719737200066447,
    0.10301565425470471,
    0.1069350466132164,
    0.11113967793062329,
    0.12280993070453405,
    0.12664724281057715,
    0.12540537910535932,
    0.11034287605434656,
    0.10098685836419463,
    0.09561250219121575,
    0.09204232087358832,
    0.08037878898903728,
    0.07909431541338563,
    0.0819774572737515,
    0.08688744017854333,
    0.07598803984001279,
    0.05687004653736949,
    0.05034698126837611,
    0.05544656841084361,
    0.06309070205315948,
    0.0784396342933178,
    0.11161822406575084,
    0.11907268222421408,
    0.11257612193003297,
    0.09070854680612683,
    0.0764448014087975,
    0.0697612976655364,
    0.0693492447026074,
    0.0724365720525384,
    0.08474307181313634,
    0.08547871885821223,
    0.07849180838093162,
    0.07113641360774636,
    0.06974821584299207,
    0.0677404678426683,
    0.07176535716280341,
    0.08505343040451407,
    0.10815128358080983,
    0.14409187017008662,
    0.1592273418791592,
    0.15777749614790082,
    0.15167248016223311,
    0.16132932528853416,
    0.16447345819324255,
    0.1688098725862801,
    0.17056456534191966,
    0.1733172689564526,
    0.17115743784233928,
    0.17800220428034663,
    0.17413065442815423,
    0.17272076150402427,
    0.16570624010637403,
    0.1531489402987063,
    0.14295100001618266,
    0.12945323064923286,
    0.10883457446470857,
    0.09632636839523911,
    0.1014060783199966,
    0.12414301419630647,
    0.14306014915928245,
    0.14689647732302547,
    0.148929291870445,
    0.15392105607315898,
    0.16243975842371583,
    0.1600882071070373,
    0.15654808888211846,
    0.133040985558182,
    0.1098588383756578,
    0.09129944024607539,
    0.07867193268612027,
    0.06563756940886378,
    0.06187034724280238,
    0.05863149790093303,
    0.05284452484920621,
    0.05211329227313399,
    0.049424711149185896,
    0.041330565232783556,
    0.03606382617726922,
    0.037200195249170065,
    0.038985214196145535,
    0.03892284631729126,
    0.0438009356148541,
    0.04761654185131192,
    0.0571340206079185,
    0.06427352922037244,
    0.0774325686506927,
    0.08100648550316691,
    0.0867060967721045,
    0.08029421838000417,
    0.08196764765307307,
    0.09362159250304103,
    0.09252504305914044,
    0.08282295288518071,
    0.07922046026214957,
    0.08599193813279271,
    0.09153278218582273,
    0.08076409390196204,
    0.06886192550882697,
    0.05177559331059456,
    0.02927899407222867,
    0.023323202040046453,
    0.021458042319864035,
    0.03022631350904703,
    0.040182423312217,
    0.05485248472541571,
    0.07072353968396783,
    0.08012252813205123,
    0.10252146096900105,
    0.11509505705907941,
    0.11161385057494044,
    0.1083024782128632,
    0.11441817181184888,
    0.12659366335719824,
    0.12735165329650044,
    0.11705654906108975,
    0.11365810921415687,
    0.1231799372471869,
    0.12971551483497024,
    0.1143940994516015,
    0.1030687871389091,
    0.08417318621650338,
    0.06144934054464102,
    0.05432610819116235,
    0.04446980031207204,
    0.041910643223673105,
    0.04335727961733937,
    0.049974781926721334,
    0.064797586761415,
    0.07897371659055352,
    0.07282437803223729,
    0.06852725055068731,
    0.07021199958398938,
    0.06627526739612222,
    0.060122841503471136,
    0.062092112842947245,
    0.06211990863084793,
    0.06300827255472541,
    0.07353397039696574,
    0.08878991892561316,
    0.096074138302356,
    0.0804750113748014,
    0.07228781608864665,
    0.07594694616273046,
    0.0775729725137353,
    0.07833397155627608,
    0.08915434684604406,
    0.10439676931127906,
    0.10876806685701013,
    0.10423134174197912,
    0.09532231325283647,
    0.0898487982340157,
    0.07339962990954518,
    0.0767318713478744,
    0.08619046211242676,
    0.07967973267659545,
    0.07556959660723805,
    0.07551498198881745,
    0.09640255570411682,
    0.10908466624096036,
    0.10026517556980252,
    0.0932809584774077,
    0.08673499757423997,
    0.0930794426240027,
    0.10035282699391246,
    0.10654872050508857,
    0.09840384963899851,
    0.0914701265282929,
    0.0779758975841105,
    0.06832318613305688,
    0.06653008004650474,
    0.054653043393045664,
    0.05283057037740946,
    0.059915675316005945,
    0.0679727727547288,
    0.08187870075926185,
    0.08792641758918762,
    0.10341215180233121,
    0.1271623531356454,
    0.14697308605536819,
    0.1481923572719097,
    0.1187693253159523,
    0.08129531191661954,
    0.057759720366448164,
    0.04629017459228635,
    0.042015588376671076,
    0.04011284979060292,
    0.04750337125733495,
    0.06122525641694665,
    0.07512446818873286,
    0.08814411470666528,
    0.08093280484899879,
    0.07004772033542395,
    0.058135388884693384,
    0.054668127093464136,
    0.06843848014250398,
    0.07104916172102094,
    0.05810960615053773,
    0.05509141460061073,
    0.05470290267840028,
    0.05110400076955557,
    0.0420706351287663,
    0.0403086026199162,
    0.04615401802584529,
    0.045153293292969465,
    0.04677150538191199,
    0.04634899506345391,
    0.04097341978922486,
    0.03032448561862111,
    0.02057964028790593,
    0.02227152045816183,
    0.02323394175618887,
    0.018352892715483904,
    0.010333650279790163,
    0.016643065493553877,
    0.02175444271415472,
    0.01582596590742469,
    0.014501914847642183,
    0.021154772955924273,
    0.023495552595704794,
    0.02713186154142022,
    0.027909583412110806,
    0.03675154270604253,
    0.03985796635970473,
    0.036467126570641994,
    0.044326416216790676,
    0.05805421760305762,
    0.08204795327037573,
    0.09894169541075826,
    0.10728104319423437,
    0.11092888889834285,
    0.11560273310169578,
    0.10824863379821181,
    0.09431098029017448,
    0.08440456306561828,
    0.08687617024406791,
    0.0857174159027636,
    0.08023948641493917,
    0.0698786354623735,
    0.07670799270272255,
    0.09957983018830419,
    0.11389782140031457,
    0.12004207586869597,
    0.1136149326339364,
    0.10971489176154137,
    0.09334092726930976,
    0.08655567560344934,
    0.09446049062535167,
    0.1023887931369245,
    0.1094285068102181,
    0.12502081086859107,
    0.13387922337278724,
    0.13665648130699992,
    0.1239751041866839,
    0.11625113245099783,
    0.1252094111405313,
    0.1456347587518394,
    0.17121039237827063,
    0.18755419692024589,
    0.17972295824438334,
    0.1586629911325872,
    0.14720569178462029,
    0.15203585475683212,
    0.16744900541380048,
    0.1764446054585278,
    0.1631531803868711,
    0.146994489710778,
    0.14092787262052298,
    0.14384353952482343,
    0.16055519552901387,
    0.1772920717485249,
    0.19621621118858457,
    0.19437615619972348,
    0.19323378568515182,
    0.19312880234792829,
    0.20265581598505378,
    0.20384205458685756,
    0.19721782812848687,
    0.19551546964794397,
    0.2029776214621961,
    0.21817751368507743,
    0.2494185557588935,
    0.2746051358990371,
    0.2727419468574226,
    0.2478155274875462,
    0.20699890749529004,
    0.1737506645731628,
    0.14826683001592755,
    0.1448574992828071,
    0.1543957102112472,
    0.15570924850180745,
    0.13448796840384603,
    0.13010092731565237,
    0.12778694508597255,
    0.12724791327491403,
    0.1356242853216827,
    0.15352217014878988,
    0.16362163331359625,
    0.16445146640762687,
    0.15769872209057212,
    0.15499837277457118,
    0.15131759131327271,
    0.13829741766676307,
    0.11832266440615058,
    0.09172519203275442,
    0.06392011372372508,
    0.041823949199169874,
    0.036352093797177076,
    0.02844088850542903,
    0.022391641046851873,
    0.028268300462514162,
    0.03894862439483404,
    0.04819840984418988,
    0.04765439638867974,
    0.05979445157572627,
    0.0804545246064663,
    0.09632827388122678,
    0.10992011334747076,
    0.1187478369101882,
    0.12060485687106848,
    0.11812592949718237,
    0.1144668236374855,
    0.11599431512877345,
    0.12393141631036997,
    0.12764048669487238,
    0.12735811481252313,
    0.11183601943776011,
    0.09631354594603181,
    0.08886230876669288,
    0.08966507622972131,
    0.09440744435414672,
    0.10597090283408761,
    0.12139126332476735,
    0.13503569131717086,
    0.13761133328080177,
    0.1428230069577694,
    0.15370197501033545,
    0.1491775056347251,
    0.14846875658258796,
    0.15215643914416432,
    0.153625029604882,
    0.15572212869301438,
    0.1309717115946114,
    0.11269284458830953,
    0.10482290713116527,
    0.09819383220747113,
    0.08619178738445044,
    0.09006820525974035,
    0.09330917987972498,
    0.10468174098059535,
    0.1293733725324273,
    0.15426187869161367,
    0.17373483534902334,
    0.18132855044677854,
    0.17659981967881322,
    0.16749978717416525,
    0.1488194135017693,
    0.13725543348118663,
    0.12329748272895813,
    0.11549735721200705,
    0.11179663566872478,
    0.10007471963763237,
    0.07238652184605598,
    0.04843981238082051,
    0.03673439612612128,
    0.029883805196732283,
    0.03094073897227645,
    0.029318345244973898,
    0.03120125876739621,
    0.043654331471771,
    0.04720569076016545,
    0.0479275262914598,
    0.06486216094344854,
    0.08056019293144345,
    0.09291907446458936,
    0.09991005389019847,
    0.1065701306797564,
    0.09920078096911311,
    0.07834122749045491,
    0.057724747341126204,
    0.053022569976747036,
    0.055242310743778944,
    0.04855146678164601,
    0.03746867971494794,
    0.047232664190232754,
    0.057064640801399946,
    0.06574503844603896,
    0.07772177131846547,
    0.1135424948297441,
    0.14715752797201276,
    0.1618619873188436,
    0.16312099108472466,
    0.16619226755574346,
    0.15625647129490972,
    0.12935148971155286,
    0.10591489588841796,
    0.09568441705778241,
    0.08974681096151471,
    0.08940134104341269,
    0.07779426267370582,
    0.0643792706541717,
    0.06413232861086726,
    0.07089631026610732,
    0.08202147530391812,
    0.08884907281026244,
    0.09747197618708014,
    0.093781562987715,
    0.08972823293879628,
    0.0785028412938118,
    0.07264582859352231,
    0.08122022124007344,
    0.07447185972705483,
    0.07917885249480605,
    0.08763668267056346,
    0.09289793996140361,
    0.08632315089926124,
    0.07846063701435924,
    0.0721336635760963,
    0.055614101234823465,
    0.04732251213863492,
    0.03938986221328378,
    0.03734213765710592,
    0.03235912648960948,
    0.03516607033088803,
    0.03946932451799512,
    0.050995823461562395,
    0.06891406746581197,
    0.08259987132623792,
    0.09396099951118231,
    0.09524117084220052,
    0.09574375208467245,
    0.10556412627920508,
    0.10211224853992462,
    0.0976002193056047,
    0.08217551419511437,
    0.0631532003171742,
    0.04412524634972215,
    0.03652915405109525,
    0.03104828344658017,
    0.02617821842432022,
    0.018112906720489264,
    0.014546534512192011,
    0.014420375693589449,
    0.02347235521301627,
    0.013548372779041529,
    0.007606630679219961,
    -0.005468714516609907,
    -0.010021316353231668,
    -0.010975911282002926,
    -0.011650945991277695,
    -0.013286381494253874,
    -0.016455181874334812,
    -0.024072186090052128,
    -0.03571201069280505,
    -0.03673382429406047,
    -0.0340648558922112,
    -0.026138610672205687,
    -0.02558323973789811,
    -0.03376349387690425,
    -0.027799699921160936,
    -0.009854789357632399,
    -0.004812110681086779,
    0.006514977663755417,
    0.019969341810792685,
    0.033111908938735723,
    0.043166919611394405,
    0.044928616378456354,
    0.05124965915456414,
    0.05088323121890426,
    0.04820524202659726,
    0.047848370391875505,
    0.044264927972108126,
    0.03136644931510091,
    0.015332853887230158,
    0.00458811828866601,
    0.0020389226265251637,
    0.00812270911410451,
    0.00701778894290328,
    0.006385153625160456,
    -0.0006695897318422794,
    -0.002294363919645548,
    -0.004210698883980513,
    -0.00337738124653697,
    -0.002587399911135435,
    0.0074003455229103565,
    0.003803399857133627,
    0.007484010420739651,
    0.026517269667237997,
    0.052628856617957354,
    0.07857182528823614,
    0.074212655890733,
    0.07086942018941045,
    0.07026470126584172,
    0.07670698314905167,
    0.08190975384786725,
    0.0864875577390194,
    0.06679239124059677,
    0.04492839751765132,
    0.013659574091434479,
    -0.004846680443733931,
    -0.010866010095924139,
    -0.009830298367887735,
    -0.016422518994659185,
    -0.016096945386379957,
    -0.01799710700288415,
    -0.017909932415932417,
    -0.027568533550947905,
    -0.023610209580510855,
    -0.020528848748654127,
    -0.008037107530981302,
    0.010675729718059301,
    0.010956195648759604,
    0.018062341958284378,
    0.02206848142668605,
    0.024217117577791214,
    0.022353675682097673,
    0.019863898400217295,
    0.018364572431892157,
    0.00984307425096631,
    0.00940696569159627,
    0.020858812611550093,
    0.016640195157378912,
    0.004654791671782732,
    -0.00016383780166506767,
    0.005074040498584509,
    0.01276628440245986,
    0.009041262324899435,
    0.01283086696639657,
    0.01853419467806816,
    0.031267974991351366,
    0.046440031845122576,
    0.056250035762786865,
    0.06125000026077032,
    0.06359263136982918,
    0.07447041478008032,
    0.09032658999785781,
    0.11414755927398801,
    0.13553457101806998,
    0.12172208121046424,
    0.08184916386380792,
    0.04204666102305055,
    0.025521674659103155,
    0.02073920937255025,
    0.02559929108247161,
    0.03777838544920087,
    0.05339767085388303,
    0.085027274210006,
    0.10075254738330841,
    0.12213919823989272,
    0.12102987524122,
    0.10295139160007238,
    0.08089016145095229,
    0.06700621219351888,
    0.06583202769979835,
    0.07331879483535886,
    0.08272979175671935,
    0.08796220924705267,
    0.09846284659579396,
    0.10662348195910454,
    0.11609115544706583,
    0.12286356976255774,
    0.1306220325641334,
    0.1389867919497192,
    0.14110742276534438,
    0.15004203375428915,
    0.1606911807321012,
    0.1621356150135398,
    0.15092652942985296,
    0.1264671511016786,
    0.08772188937291503,
    0.06111818877980113,
    0.04812658065930009,
    0.036213021259754896,
    0.025863703340291977,
    0.018975633662194014,
    0.017888060305267572,
    0.018534746021032333,
    0.01335634058341384,
    0.008892783429473639,
    0.006377715151757002,
    0.0064314124174416065,
    0.013574032578617334,
    0.025897306855767965,
    0.050415854435414076,
    0.07993673952296376,
    0.11164383683353662,
    0.1217821198515594,
    0.11204225802794099,
    0.09500596253201365,
    0.08246261533349752,
    0.06335027841851115,
    0.06509394617751241,
    0.06680702744051814,
    0.059660554863512516,
    0.05490759899839759,
    0.05816300259903073,
    0.05929700518026948,
    0.06112517835572362,
    0.06704220967367291,
    0.0651254472322762,
    0.057217168156057596,
    0.0519919553771615,
    0.06092975428327918,
    0.06746282847598195,
    0.07049359008669853,
    0.0709614627994597,
    0.06833548890426755,
    0.07604642352089286,
    0.07939963648095727,
    0.07509011356160045,
    0.06053873477503657,
    0.06141458824276924,
    0.07137737749144435,
    0.09303711215034127,
    0.1044284082017839,
    0.09429742768406868,
    0.09106030687689781,
    0.08879727497696877,
    0.07335754903033376,
    0.05089671304449439,
    0.025451896246522665,
    0.01476525655016303,
    0.004284888971596956,
    0.0012249327264726162,
    -0.015029329340904951,
    -0.02594086481258273,
    -0.038401567842811346,
    -0.05167698534205556,
    -0.056876393500715494,
    -0.05004054261371493,
    -0.040409095119684935,
    -0.02798634534701705,
    -0.01872067991644144,
    -0.010422010440379381,
    -0.015364177525043488,
    -0.027282483875751495,
    -0.02934247348457575,
    -0.025437788106501102,
    -0.01129357935860753,
    0.001312087755650282,
    0.0050762551836669445,
    0.00427551893517375,
    0.015135806053876877,
    0.015762863215059042,
    0.016121007967740297,
    0.021656822878867388,
    0.02416151436045766,
    0.02784527000039816,
    0.019379356410354376,
    0.003964653704315424,
    -0.010260960552841425,
    -0.026772144716233015,
    -0.03041605232283473,
    -0.02802795497700572,
    -0.026195991318672895,
    -0.002569835167378187,
    0.02158169075846672,
    0.045765862334519625,
    0.06616175780072808,
    0.08655420830473304,
    0.09419849747791886,
    0.10491327615454793,
    0.10852056415751576,
    0.09069182304665446,
    0.0655904677696526,
    0.031107899267226458,
    0.01204608241096139,
    0.00010928278788924217,
    -0.003570872824639082,
    0.0022649532184004784,
    0.011437089182436466,
    0.030322267208248377,
    0.037426691967993975,
    0.03305213199928403,
    0.039578044321388006,
    0.051085181534290314,
    0.06325829681009054,
    0.0555298593826592,
    0.050450393464416265,
    0.051793506834656,
    0.057774435728788376,
    0.08073650440201163,
    0.10815189825370908,
    0.12707871524617076,
    0.13058408768847585,
    0.14553974056616426,
    0.15169604448601604,
    0.13263147650286555,
    0.11078813066706061,
    0.08663683151826262,
    0.07970207603648305,
    0.07441402645781636,
    0.081298494245857,
    0.0944625660777092,
    0.10210988717153668,
    0.09693523263558745,
    0.09131440194323659,
    0.08562007220461965,
    0.08001188421621919,
    0.06371037708595395,
    0.06044797366485,
    0.05786224361509085,
    0.05951788602396846,
    0.059708185493946075,
    0.06566112907603383,
    0.07724864361807704,
    0.08246986893936992,
    0.087308747228235,
    0.09585876436904073,
    0.09859739569947124,
    0.11027492163702846,
    0.12745223101228476,
    0.14549844292923808,
    0.17019342305138707,
    0.1910715326666832,
    0.19688813062384725,
    0.1630125199444592,
    0.12838602904230356,
    0.10473305033519864,
    0.093107542488724,
    0.08198207756504416,
    0.08643932035192847,
    0.10329777654260397,
    0.11224709311500192,
    0.12127915909513831,
    0.1205611196346581,
    0.11550235422328115,
    0.1081653623841703,
    0.10212042089551687,
    0.09758736239746213,
    0.08951755287125707,
    0.08155930461362004,
    0.08884529815986753,
    0.08888673456385732,
    0.09648016234859824,
    0.09696372738108039,
    0.09556319704279304,
    0.10780165670439601,
    0.12325666192919016,
    0.11869712499901652,
    0.11465680180117488,
    0.11343491915613413,
    0.11769980704411864,
    0.13040747912600636,
    0.13715853448957205,
    0.14023409923538566,
    0.13642603252083063,
    0.1464501810260117,
    0.14697085646912456,
    0.1592116435058415,
    0.16921648429706693,
    0.18931105872616172,
    0.19066416332498193,
    0.1996760298497975,
    0.21851467760279775,
    0.2158699193969369,
    0.20057982997968793,
    0.17359953001141548,
    0.15204474097117782,
    0.14573630597442389,
    0.14893195871263742,
    0.15768050448969007,
    0.16450086561962962,
    0.16018420085310936,
    0.16110856318846345,
    0.1752382325939834,
    0.2013062653131783,
    0.23713279096409678,
    0.26623412733897567,
    0.269438982475549,
    0.2646806393750012,
    0.2412034603767097,
    0.2162511316128075,
    0.20069361245259643,
    0.19371098931878805,
    0.18453901587054133,
    0.16726565407589078,
    0.14860226213932037,
    0.13081246940419078,
    0.12435386376455426,
    0.12159168301150203,
    0.11870720330625772,
    0.12702793488278985,
    0.1421976094134152,
    0.15747595997527242,
    0.15683394437655807,
    0.16370313940569758,
    0.16292679216712713,
    0.16479964600875974,
    0.17366349743679166,
    0.17132998583838344,
    0.17227058950811625,
    0.17491814820095897,
    0.18318606493994594,
    0.19274992821738124,
    0.1925179734826088,
    0.1894344473257661,
    0.18268114374950528,
    0.18440663162618876,
    0.17933058785274625,
    0.18423536513000727,
    0.17426039325073361,
    0.17428720043972135,
    0.1498626214452088,
    0.12804838316515088,
    0.11717046471312642,
    0.12476903293281794,
    0.13911309139803052,
    0.15105139696970582,
    0.15332955168560147,
    0.14922331320121884,
    0.15303088771179318,
    0.16134732123464346,
    0.16090782592073083,
    0.146936044562608,
    0.14562926487997174,
    0.15832192450761795,
    0.18092862563207746,
    0.2001739968545735,
    0.19715348724275827,
    0.19365128921344876,
    0.17860839562490582,
    0.15544784162193537,
    0.13677698466926813,
    0.12832568166777492,
    0.12782213604077697,
    0.14074483839794993,
    0.15882816025987267,
    0.17953202174976468,
    0.19203054206445813,
    0.20773593662306666,
    0.20502440864220262,
    0.18428799603134394,
    0.15868018148466945,
    0.13927446911111474,
    0.133233486674726,
    0.13305080262944102,
    0.13481771806254983,
    0.14017942314967513,
    0.15448211878538132,
    0.16431058989837766,
    0.18009948870167136,
    0.1859949785284698,
    0.19442985532805324,
    0.19594601122662425,
    0.19753550086170435,
    0.20725180068984628,
    0.19779689377173781,
    0.1869740099646151,
    0.16207284899428487,
    0.1466916725039482,
    0.13785974448546767,
    0.14276472805067897,
    0.14402252295985818,
    0.13319234130904078,
    0.12603061133995652,
    0.11520608840510249,
    0.1104905316606164,
    0.10338066751137376,
    0.10959519492462277,
    0.11160016478970647,
    0.1037210882641375,
    0.10852646874263883,
    0.12296005384996533,
    0.1426488170400262,
    0.16306929336860776,
    0.18266504304483533,
    0.18095167074352503,
    0.17772911069914699,
    0.1845165346749127,
    0.20179708627983928,
    0.21525010047480464,
    0.22106608329340816,
    0.2197825452312827,
    0.20235291542485356,
    0.17315381346270442,
    0.15876583522185683,
    0.15408983128145337,
    0.17010740330442786,
    0.18569118110463023,
    0.17940637236461043,
    0.1577005465514958,
    0.1370957768522203,
    0.11746972845867276,
    0.11311397375538945,
    0.12208132445812225,
    0.14155863877385855,
    0.1721021314151585,
    0.19929534243419766,
    0.21379695320501924,
    0.19304336933419108,
    0.16558209853246808,
    0.14894746989011765,
    0.1389751648530364,
    0.1481916788034141,
    0.1572175775654614,
    0.14952655788511038,
    0.13743055192753673,
    0.12504308996722102,
    0.12627863977104425,
    0.1324357041157782,
    0.14432235853746533,
    0.16606950806453824,
    0.1939964327029884,
    0.21122271148487926,
    0.1999583006836474,
    0.17160450527444482,
    0.13801405485719442,
    0.11469614924862981,
    0.0950117320753634,
    0.08675047801807523,
    0.08314139442518353,
    0.08037096494808793,
    0.08071365533396602,
    0.0850491183809936,
    0.08252052264288068,
    0.09016873175278306,
    0.09216008242219687,
    0.08599593816325068,
    0.07639785436913371,
    0.07461750134825706,
    0.08064768882468343,
    0.08429698972031474,
    0.09728412004187703,
    0.10688764927908778,
    0.11226416891440749,
    0.1291021346114576,
    0.15756603982299566,
    0.17863357393071055,
    0.18545859633013606,
    0.16999681619927287,
    0.15377553226426244,
    0.14691406628116965,
    0.14353222073987126,
    0.1411376683972776,
    0.14813605742529035,
    0.1574722328223288,
    0.17917791893705726,
    0.21050984831526875,
    0.23460420547053218,
    0.2608466255478561,
    0.26548153813928366,
    0.2338365581817925,
    0.1881731515750289,
    0.15137335704639554,
    0.1301829027943313,
    0.12484535994008183,
    0.12035541096702218,
    0.12788368854671717,
    0.14761197613552213,
    0.17613002704456449,
    0.20152103388682008,
    0.21603699075058103,
    0.21697987196967006,
    0.22002481063827872,
    0.2191461925394833,
    0.20194584177806973,
    0.1704078083857894,
    0.1448605447076261,
    0.12324754940345883,
    0.11528123961761594,
    0.12543433578684926,
    0.14207376865670085,
    0.14275408582761884,
    0.1285441997461021,
    0.1085018846206367,
    0.10695505468174815,
    0.11754626873880625,
    0.12825700687244534,
    0.14201643178239465,
    0.15829570218920708,
    0.15690348437055945,
    0.15831459825858474,
    0.15956878243014216,
    0.17516330676153302,
    0.19330475805327296,
    0.19992226688191295,
    0.1830847030505538,
    0.16646541701629758,
    0.15321344463154674,
    0.1533174398355186,
    0.14990376587957144,
    0.1441901484504342
  ],
  "coil": [
    0.5922799408435822,
    0.6837405562400818,
    0.7318851053714752,
    0.7596067488193512,
    0.7332035899162292,
    0.6677760481834412,
    0.5591817498207092,
    0.4490888714790344,
    0.3050566017627716,
    0.16279566287994385,
    0.09289073944091797,
    0.06531131267547607,
    0.060362428426742554,
    0.06709110736846924,
    0.09437176585197449,
    0.13970884680747986,
    0.1960923969745636,
    0.2515637278556824,
    0.2861345410346985,
    0.3098195791244507,
    0.32390809059143066,
    0.3149791359901428,
    0.34181109070777893,
    0.38672615587711334,
    0.3740259259939194,
    0.3616718649864197,
    0.33259233832359314,
    0.32958984375,
    0.34463170170783997,
    0.3690551817417145,
    0.36684271693229675,
    0.3800337165594101,
    0.40627141296863556,
    0.4820636212825775,
    0.5239756554365158,
    0.5237034857273102,
    0.5231573283672333,
    0.5057017207145691,
    0.4511428028345108,
    0.3620782792568207,
    0.3088720142841339,
    0.296702116727829,
    0.33171331882476807,
    0.3967873603105545,
    0.4457797557115555,
    0.4722979962825775,
    0.5044585019350052,
    0.4828609675168991,
    0.40937264263629913,
    0.3587959557771683,
    0.32515180110931396,
    0.32932931184768677,
    0.3355930745601654,
    0.40041394531726837,
    0.4448915421962738,
    0.4841514825820923,
    0.4845900237560272,
    0.47129571437835693,
    0.4722379744052887,
    0.4463224709033966,
    0.40847307443618774,
    0.3552861362695694,
    0.3362264782190323,
    0.33965086936950684,
    0.3502379059791565,
    0.3732002377510071,
    0.3944826275110245,
    0.4252452105283737,
    0.4700838327407837,
    0.4862715005874634,
    0.44261713325977325,
    0.4064669758081436,
    0.37560218572616577,
    0.37104327976703644,
    0.35975226759910583,
    0.37343713641166687,
    0.36613646149635315,
    0.39020437002182007,
    0.41988344490528107,
    0.47543568909168243,
    0.5288311988115311,
    0.5913179814815521,
    0.6129359006881714,
    0.5903809368610382,
    0.5088310837745667,
    0.44608910381793976,
    0.35886259377002716,
    0.31507912278175354,
    0.2620220482349396,
    0.22460933029651642,
    0.2015092372894287,
    0.22962737083435059,
    0.27503715455532074,
    0.3389599770307541,
    0.42106181383132935,
    0.5040894597768784,
    0.5088349431753159,
    0.46408000588417053,
    0.425595223903656,
    0.3917412757873535,
    0.36486583948135376,
    0.32714200019836426,
    0.310848206281662,
    0.30295659601688385,
    0.32352203130722046,
    0.33976879715919495,
    0.37233486771583557,
    0.42849335074424744,
    0.4686063379049301,
    0.5009585171937943,
    0.5032768696546555,
    0.5091966092586517,
    0.4925098419189453,
    0.5083321332931519,
    0.44085700809955597,
    0.39828966557979584,
    0.338542103767395,
    0.31288206577301025,
    0.2960691750049591,
    0.34311772882938385,
    0.38815680146217346,
    0.4047813266515732,
    0.44076840579509735,
    0.41708190739154816,
    0.39725296199321747,
    0.3831010013818741,
    0.3863829970359802,
    0.37746794521808624,
    0.3447015732526779,
    0.3480011224746704,
    0.3657888174057007,
    0.39119888842105865,
    0.4159993380308151,
    0.46388886868953705,
    0.5235051363706589,
    0.5643768906593323,
    0.5869017094373703,
    0.5825998783111572,
    0.5417194962501526,
    0.45568373799324036,
    0.39082303643226624,
    0.3660385012626648,
    0.33765028417110443,
    0.346501886844635,
    0.3497328758239746,
    0.3816617876291275,
    0.39737267792224884,
    0.44736000895500183,
    0.4778392016887665,
    0.5033780485391617,
    0.5532357692718506,
    0.5664385557174683,
    0.5082272589206696,
    0.45444346964359283,
    0.4648120105266571,
    0.522701621055603,
    0.5874359905719757,
    0.6163082122802734,
    0.6327890157699585,
    0.6381107568740845,
    0.6737397015094757,
    0.6875523179769516,
    0.6955014765262604,
    0.6798567473888397,
    0.6634029150009155,
    0.641936406493187,
    0.5992052257061005,
    0.5826419293880463,
    0.5461440533399582,
    0.48494552075862885,
    0.4816053658723831,
    0.5081195533275604,
    0.5541379749774933,
    0.5930852442979813,
    0.6455201506614685,
    0.6506398916244507,
    0.5990258902311325,
    0.49569007754325867,
    0.3796214312314987,
    0.25569912791252136,
    0.18119637668132782,
    0.14173990488052368,
    0.14065709710121155,
    0.15282291173934937,
    0.17987000942230225,
    0.2050761878490448,
    0.2665655016899109,
    0.32390570640563965,
    0.3917431980371475,
    0.4321099519729614,
    0.4348534047603607,
    0.40412208437919617,
    0.37950530648231506,
    0.3349871337413788,
    0.27985434234142303,
    0.24894385039806366,
    0.23375509679317474,
    0.24804463982582092,
    0.2597797214984894,
    0.2724912464618683,
    0.3108861446380615,
    0.3609410375356674,
    0.42992058396339417,
    0.4956747442483902,
    0.5464251190423965,
    0.5645765513181686,
    0.6084299981594086,
    0.5904453992843628,
    0.6365796327590942,
    0.6810519844293594,
    0.692948654294014,
    0.7011889219284058,
    0.7387175858020782,
    0.7454051971435547,
    0.7343112230300903,
    0.685417115688324,
    0.6640876829624176,
    0.6473831534385681,
    0.6179186105728149,
    0.6097264885902405,
    0.6197804659605026,
    0.5652875453233719,
    0.45823393762111664,
    0.44004079699516296,
    0.45482704043388367,
    0.49447810649871826,
    0.4947945326566696,
    0.45406560599803925,
    0.4185059666633606,
    0.405785396695137,
    0.4059554487466812,
    0.40649813413619995,
    0.4476921111345291,
    0.49292445182800293,
    0.5230580121278763,
    0.5520744323730469,
    0.5962964445352554,
    0.6014576256275177,
    0.57750503718853,
    0.5527801215648651,
    0.49767036736011505,
    0.4688417762517929,
    0.43722787499427795,
    0.46193960309028625,
    0.4745117276906967,
    0.5114268809556961,
    0.551826611161232,
    0.5433403849601746,
    0.49470454454421997,
    0.41602224111557007,
    0.31817296147346497,
    0.24992826581001282,
    0.24778074026107788,
    0.27816665172576904,
    0.3255453109741211,
    0.400614857673645,
    0.4700259268283844,
    0.4986445903778076,
    0.47712117433547974,
    0.4648813456296921,
    0.3956461697816849,
    0.3213597387075424,
    0.22679588198661804,
    0.1668378710746765,
    0.14467555284500122,
    0.17690232396125793,
    0.2237677276134491,
    0.26266276836395264,
    0.3089652955532074,
    0.3349369615316391,
    0.3854529708623886,
    0.4120454490184784,
    0.4270101934671402,
    0.41565757989883423,
    0.37349680066108704,
    0.3566122055053711,
    0.33569754660129547,
    0.3125566989183426,
    0.27480553090572357,
    0.22706389427185059,
    0.1789785772562027,
    0.18981757760047913,
    0.21860966086387634,
    0.25213849544525146,
    0.28035952150821686,
    0.3197789788246155,
    0.366398885846138,
    0.3724418729543686,
    0.3832787871360779,
    0.3911379724740982,
    0.40717877447605133,
    0.41361504793167114,
    0.37681952118873596,
    0.3306475728750229,
    0.3279262185096741,
    0.32217423617839813,
    0.33866335451602936,
    0.3639039099216461,
    0.41257674992084503,
    0.445549800992012,
    0.48444555699825287,
    0.5340297520160675,
    0.5295518338680267,
    0.4998437166213989,
    0.4423430263996124,
    0.40423357486724854,
    0.3869844675064087,
    0.36403360962867737,
    0.3308623433113098,
    0.3164855092763901,
    0.35604770481586456,
    0.38394828140735626,
    0.3968961238861084,
    0.43162304162979126,
    0.45225995779037476,
    0.4177301377058029,
    0.36569270491600037,
    0.3123482018709183,
    0.2392863780260086,
    0.20166388154029846,
    0.18039408326148987,
    0.1941625326871872,
    0.22290180623531342,
    0.26209501922130585,
    0.3273906260728836,
    0.38087601959705353,
    0.45575523376464844,
    0.5048737227916718,
    0.5539824366569519,
    0.594042032957077,
    0.5832565724849701,
    0.5740738660097122,
    0.5820598155260086,
    0.5661260336637497,
    0.49256646633148193,
    0.4025733917951584,
    0.3117036074399948,
    0.23456771671772003,
    0.15546205639839172,
    0.1200517863035202,
    0.14175783097743988,
    0.21091113984584808,
    0.30549156665802,
    0.40690191090106964,
    0.5360841006040573,
    0.632016509771347,
    0.6822084039449692,
    0.6635298728942871,
    0.5957320630550385,
    0.4656606465578079,
    0.3576294481754303,
    0.322777196764946,
    0.31643471121788025,
    0.3109290152788162,
    0.297808438539505,
    0.29630333185195923,
    0.2888886034488678,
    0.2812059074640274,
    0.2650402635335922,
    0.2525825798511505,
    0.25575998425483704,
    0.27135850489139557,
    0.2941374033689499,
    0.33953388035297394,
    0.38895387947559357,
    0.3935581296682358,
    0.36920545995235443,
    0.34555964171886444,
    0.307172954082489,
    0.2620442658662796,
    0.20756123960018158,
    0.19209523499011993,
    0.19843310117721558,
    0.22596736252307892,
    0.2671210765838623,
    0.31394872069358826,
    0.37741799652576447,
    0.45778121054172516,
    0.5403125882148743,
    0.5606485903263092,
    0.5544780939817429,
    0.4852645844221115,
    0.4274136573076248,
    0.40218743681907654,
    0.37599581480026245,
    0.3559103310108185,
    0.3349321335554123,
    0.28751808404922485,
    0.23813320696353912,
    0.22232455015182495,
    0.2343713939189911,
    0.29573559761047363,
    0.35915733873844147,
    0.40338483452796936,
    0.3938581645488739,
    0.39089514315128326,
    0.3507150709629059,
    0.2992134243249893,
    0.2589377760887146,
    0.2732533812522888,
    0.3286477029323578,
    0.39801934361457825,
    0.47059033811092377,
    0.5087085217237473,
    0.5361453145742416,
    0.5346298664808273,
    0.4764437675476074,
    0.40795156359672546,
    0.3372434973716736,
    0.28517279028892517,
    0.25581951439380646,
    0.2342437356710434,
    0.2158491462469101,
    0.22975854575634003,
    0.26027098298072815,
    0.312880203127861,
    0.3248019963502884,
    0.31980058550834656,
    0.33129915595054626,
    0.3070516437292099,
    0.25973936915397644,
    0.215218648314476,
    0.17524278163909912,
    0.1547703593969345,
    0.14033327996730804,
    0.1449335664510727,
    0.16866187751293182,
    0.2633671760559082,
    0.3882085829973221,
    0.5186310559511185,
    0.5863091349601746,
    0.6092405021190643,
    0.6164053380489349,
    0.6680169105529785,
    0.6684997528791428,
    0.6246028542518616,
    0.5702259838581085,
    0.5304911881685257,
    0.5076790452003479,
    0.46887175738811493,
    0.4273204952478409,
    0.40018288791179657,
    0.3442938029766083,
    0.28298383951187134,
    0.21910180151462555,
    0.18879850208759308,
    0.1682860553264618,
    0.18876345455646515,
    0.24524489045143127,
    0.3357256203889847,
    0.4518687278032303,
    0.536955714225769,
    0.5998152494430542,
    0.6156796663999557,
    0.5879946053028107,
    0.4939400851726532,
    0.41378986835479736,
    0.3824577331542969,
    0.39989417791366577,
    0.4076080620288849,
    0.40165212750434875,
    0.3862050324678421,
    0.3633463829755783,
    0.32390905916690826,
    0.2770500034093857,
    0.25204677879810333,
    0.2565286308526993,
    0.27851440012454987,
    0.3178345412015915,
    0.3828985244035721,
    0.4406517595052719,
    0.43717363476753235,
    0.41457636654376984,
    0.40595458447933197,
    0.36503124237060547,
    0.3023639917373657,
    0.23447297513484955,
    0.20180578529834747,
    0.17160330712795258,
    0.1771853119134903,
    0.19995681941509247,
    0.23541033267974854,
    0.29276853799819946,
    0.363517701625824,
    0.43406568467617035,
    0.46101340651512146,
    0.48041699826717377,
    0.4761584550142288,
    0.4416932165622711,
    0.4376118332147598,
    0.4096646010875702,
    0.3428703546524048,
    0.2741861790418625,
    0.23089344799518585,
    0.17858286201953888,
    0.18734711408615112,
    0.22380690276622772,
    0.2839205414056778,
    0.33926038444042206,
    0.42365939915180206,
    0.45458877086639404,
    0.4984847456216812,
    0.4760550409555435,
    0.39866766333580017,
    0.3212805837392807,
    0.28035950660705566,
    0.26786188781261444,
    0.24565014243125916,
    0.2520512491464615,
    0.27969036996364594,
    0.3244486451148987,
    0.38160181045532227,
    0.41010572016239166,
    0.38964003324508667,
    0.3693835139274597,
    0.3298467695713043,
    0.2996057868003845,
    0.32118672132492065,
    0.3684149831533432,
    0.39690424501895905,
    0.4104855805635452,
    0.4393824189901352,
    0.4417419880628586,
    0.4119483679533005,
    0.3884827494621277,
    0.3664300739765167,
    0.33729153871536255,
    0.2841606140136719,
    0.2638690620660782,
    0.24929338693618774,
    0.23563234508037567,
    0.22442567348480225,
    0.2384612113237381,
    0.2679201364517212,
    0.32908737659454346,
    0.42101313173770905,
    0.5028959661722183,
    0.6016889810562134,
    0.6367296427488327,
    0.6246446073055267,
    0.5681558400392532,
    0.48875680565834045,
    0.44620516896247864,
    0.4719265401363373,
    0.511247381567955,
    0.5500084161758423,
    0.5368695706129074,
    0.5109352916479111,
    0.4310608357191086,
    0.3640272468328476,
    0.29388050734996796,
    0.228541299700737,
    0.2026912122964859,
    0.20428641140460968,
    0.24981647729873657,
    0.3115631490945816,
    0.4063396006822586,
    0.5035465806722641,
    0.5953225791454315,
    0.6472767740488052,
    0.6124854236841202,
    0.5124812573194504,
    0.4033981263637543,
    0.3464217483997345,
    0.32046744227409363,
    0.319671630859375,
    0.33313705027103424,
    0.35240523517131805,
    0.3286575376987457,
    0.36107009649276733,
    0.34706808626651764,
    0.3151739090681076,
    0.2751624584197998,
    0.2519291937351227,
    0.253455251455307,
    0.3106220215559006,
    0.4225301891565323,
    0.46948134899139404,
    0.4944275766611099,
    0.5061444938182831,
    0.4919648915529251,
    0.45721083879470825,
    0.3618433326482773,
    0.2933197170495987,
    0.24751971662044525,
    0.21798551082611084,
    0.19079646468162537,
    0.1912737786769867,
    0.23017558455467224,
    0.29549655318260193,
    0.3910857290029526,
    0.47243864834308624,
    0.5209978222846985,
    0.5252830237150192,
    0.476205050945282,
    0.46853913366794586,
    0.4451022893190384,
    0.3747472018003464,
    0.3148665726184845,
    0.27864065766334534,
    0.26316988468170166,
    0.2739206850528717,
    0.2872692495584488,
    0.31512604653835297,
    0.3246706575155258,
    0.3694929927587509,
    0.386161744594574,
    0.3664373755455017,
    0.3601032495498657,
    0.36126741766929626,
    0.387189045548439,
    0.4352823793888092,
    0.4898602366447449,
    0.5442211478948593,
    0.5886742323637009,
    0.6196548491716385,
    0.6258713155984879,
    0.6187426000833511,
    0.6445023864507675,
    0.6913416385650635,
    0.7174911797046661,
    0.7013402879238129,
    0.6781668215990067,
    0.6620495468378067,
    0.6449940055608749,
    0.5945071429014206,
    0.5493458956480026,
    0.4768661707639694,
    0.38428060710430145,
    0.3658461570739746,
    0.372261181473732,
    0.4131365716457367,
    0.4735172986984253,
    0.5497031658887863,
    0.5711802393198013,
    0.5583924204111099,
    0.4736383855342865,
    0.39951643347740173,
    0.2788916528224945,
    0.20625708997249603,
    0.17639020085334778,
    0.1907086968421936,
    0.23039372265338898,
    0.28946709632873535,
    0.36307403445243835,
    0.4202544093132019,
    0.41320016980171204,
    0.3785897344350815,
    0.35770703852176666,
    0.3362284153699875,
    0.31369413435459137,
    0.3142040967941284,
    0.34164854884147644,
    0.3854553550481796,
    0.381367564201355,
    0.3480607271194458,
    0.34591028094291687,
    0.33637121319770813,
    0.38327859342098236,
    0.46619315445423126,
    0.5434994250535965,
    0.6004212945699692,
    0.619509145617485,
    0.6564028710126877,
    0.6336686164140701,
    0.6383516788482666,
    0.6617407351732254,
    0.640010342001915,
    0.6194100081920624,
    0.5710670202970505,
    0.4984324723482132,
    0.4222840517759323,
    0.3474336266517639,
    0.3065384775400162,
    0.2627011835575104,
    0.2415066808462143,
    0.24776943027973175,
    0.28230248391628265,
    0.3759582042694092,
    0.4676308035850525,
    0.5921263545751572,
    0.6607856750488281,
    0.6712206900119781,
    0.6122961193323135,
    0.5013505667448044,
    0.4470027685165405,
    0.4248940944671631,
    0.4071044772863388,
    0.35015666484832764,
    0.3008895069360733,
    0.2520267814397812,
    0.22244147956371307,
    0.20959828794002533,
    0.2258191704750061,
    0.2653619796037674,
    0.31477923691272736,
    0.368511825799942,
    0.40166597068309784,
    0.434117928147316,
    0.4208429604768753,
    0.4034074395895004,
    0.37797102332115173,
    0.34425772726535797,
    0.32677319645881653,
    0.2764434367418289,
    0.23092924058437347,
    0.20179687440395355,
    0.2035377472639084,
    0.21951228380203247,
    0.2839079797267914,
    0.3424418717622757,
    0.4030977189540863,
    0.47377651929855347,
    0.5238289684057236,
    0.5367613136768341,
    0.510383278131485,
    0.4489039331674576,
    0.3684149831533432,
    0.2792557328939438,
    0.21593274176120758,
    0.17995212972164154,
    0.19814564287662506,
    0.26378433406352997,
    0.3782986104488373,
    0.4687742590904236,
    0.5312690436840057,
    0.568968266248703,
    0.5833081752061844,
    0.5245269984006882,
    0.4451855570077896,
    0.36352553963661194,
    0.29293549060821533,
    0.24875256419181824,
    0.234174907207489,
    0.25602445006370544,
    0.2894759327173233,
    0.3571331351995468,
    0.4413180500268936,
    0.5009232610464096,
    0.5005334615707397,
    0.47202521562576294,
    0.39460910856723785,
    0.3097139894962311,
    0.21726493537425995,
    0.15515556931495667,
    0.15726813673973083,
    0.2195572406053543,
    0.2619283199310303,
    0.29533515870571136,
    0.3712926208972931,
    0.43789443373680115,
    0.4682720750570297,
    0.4419989436864853,
    0.399626225233078,
    0.36255747079849243,
    0.3185568153858185,
    0.26631078124046326,
    0.21086983382701874,
    0.1830030232667923,
    0.15561144053936005,
    0.20075324177742004,
    0.27140283584594727,
    0.360363245010376,
    0.4529019296169281,
    0.5506026744842529,
    0.6116025894880295,
    0.6086201220750809,
    0.5667747408151627,
    0.5079949200153351,
    0.4500599354505539,
    0.38639865815639496,
    0.3215588182210922,
    0.25725914537906647,
    0.20269542932510376,
    0.1727382242679596,
    0.20439761877059937,
    0.26458050310611725,
    0.32841746509075165,
    0.37477605044841766,
    0.42343632876873016,
    0.4911280423402786,
    0.5239937156438828,
    0.5618676394224167,
    0.5350498110055923,
    0.48021256923675537,
    0.39463524520397186,
    0.3329228609800339,
    0.3394087255001068,
    0.38260793685913086,
    0.4290899485349655,
    0.47330065071582794,
    0.4918985515832901,
    0.4684286415576935,
    0.4287020117044449,
    0.39134471118450165,
    0.3639087527990341,
    0.3509726822376251,
    0.3730847239494324,
    0.41193296015262604,
    0.47142450511455536,
    0.5238606929779053,
    0.5386565625667572,
    0.5141609162092209,
    0.492004930973053,
    0.4419649988412857,
    0.3948458433151245,
    0.3278120309114456,
    0.27761898934841156,
    0.2418261468410492,
    0.2639116048812866,
    0.3135242164134979,
    0.3818877935409546,
    0.4418093115091324,
    0.5074280798435211,
    0.559054359793663,
    0.5508175939321518,
    0.5473234206438065,
    0.508833110332489,
    0.4473058134317398,
    0.431270033121109,
    0.4192685931921005,
    0.37607094645500183,
    0.30770426988601685,
    0.24719224870204926,
    0.214090958237648,
    0.22743144631385803,
    0.28172725439071655,
    0.3617449104785919,
    0.43725527822971344,
    0.5228944271802902,
    0.5295852273702621,
    0.4901440441608429,
    0.43221499025821686,
    0.41053783893585205,
    0.42214564979076385,
    0.44207848608493805,
    0.47428351640701294,
    0.47416190803050995,
    0.4977017641067505,
    0.5581871718168259,
    0.5813923478126526,
    0.5175234526395798,
    0.4453964978456497,
    0.34803879261016846,
    0.26333627104759216,
    0.22575631737709045,
    0.21501323580741882,
    0.22216205298900604,
    0.24650892615318298,
    0.29215963184833527,
    0.32742369174957275,
    0.3475206047296524,
    0.3632432073354721,
    0.36932046711444855,
    0.3300569951534271,
    0.2745504081249237,
    0.20828063786029816,
    0.17546695470809937,
    0.1614350974559784,
    0.15035885572433472,
    0.19117803871631622,
    0.2218591421842575,
    0.27099521458148956,
    0.33486132323741913,
    0.42726390063762665,
    0.5329820960760117,
    0.5760186910629272,
    0.5356709063053131,
    0.5176084339618683,
    0.47159555554389954,
    0.4770088791847229,
    0.5123431086540222,
    0.547695979475975,
    0.5161685943603516,
    0.42765921354293823,
    0.33318769931793213,
    0.22140485048294067,
    0.10239122807979584,
    0.02712535858154297,
    0.0010122358798980713,
    0.02065722644329071,
    0.09219393134117126,
    0.18908601999282837,
    0.33463338017463684,
    0.46313102543354034,
    0.5746390074491501,
    0.6122225970029831,
    0.6016833633184433,
    0.4958565980195999,
    0.36587946116924286,
    0.28948789834976196,
    0.27269554138183594,
    0.24810680747032166,
    0.2321024090051651,
    0.24301011860370636,
    0.2622433602809906,
    0.2997497618198395,
    0.3340929448604584,
    0.34944698214530945,
    0.373933881521225,
    0.3846656084060669,
    0.41224929690361023,
    0.49231287837028503,
    0.5928914695978165,
    0.6406492441892624,
    0.615445539355278,
    0.5989626944065094,
    0.5666279345750809,
    0.49040135741233826,
    0.39555342495441437,
    0.3006688803434372,
    0.2248491644859314,
    0.20716720819473267,
    0.22892023622989655,
    0.30221742391586304,
    0.37383241951465607,
    0.45621776580810547,
    0.5412705540657043,
    0.5854524224996567,
    0.6343825906515121,
    0.6534065008163452,
    0.6199373304843903,
    0.6015026271343231,
    0.5882328599691391,
    0.49453824758529663,
    0.39746035635471344,
    0.289346382021904,
    0.2224295288324356,
    0.21955320239067078,
    0.2868560254573822,
    0.39919939637184143,
    0.4970299005508423,
    0.601964458823204,
    0.6675524562597275,
    0.7308662384748459,
    0.7429879605770111,
    0.7013629376888275,
    0.6575813591480255,
    0.5663978010416031,
    0.4852634221315384,
    0.40356123447418213,
    0.3674604445695877,
    0.3637453764677048,
    0.3810320049524307,
    0.40528954565525055,
    0.4705774486064911,
    0.47529301047325134,
    0.41225695610046387,
    0.34981387853622437,
    0.28123925626277924,
    0.2246750295162201,
    0.22218015789985657,
    0.24908447265625,
    0.29018206894397736,
    0.322122260928154,
    0.3531836271286011,
    0.3772761821746826,
    0.37402452528476715,
    0.3672732412815094,
    0.3506466895341873,
    0.2973943501710892,
    0.2319408804178238,
    0.19432364404201508,
    0.1985049694776535,
    0.21276764571666718,
    0.1948166936635971,
    0.18038202822208405,
    0.16428932547569275,
    0.19096936285495758,
    0.27074815332889557,
    0.3754214197397232,
    0.5018555819988251,
    0.5748734772205353,
    0.6123682260513306,
    0.6456535011529922,
    0.624162882566452,
    0.5800095498561859,
    0.5348364412784576,
    0.5081182271242142,
    0.4669934809207916,
    0.41668908298015594,
    0.376488521695137,
    0.3071287274360657,
    0.24415937066078186,
    0.2132537066936493,
    0.17521417140960693,
    0.16793783009052277,
    0.18350403010845184,
    0.21717162430286407,
    0.2672032415866852,
    0.33528102934360504,
    0.4127962440252304,
    0.4921248108148575,
    0.5450884103775024,
    0.5626344531774521,
    0.4978431910276413,
    0.4264736771583557,
    0.40024083852767944,
    0.3723975569009781,
    0.3427288085222244,
    0.323676660656929,
    0.29873619973659515,
    0.24774189293384552,
    0.17931972444057465,
    0.1646963655948639,
    0.18671034276485443,
    0.21671395003795624,
    0.24295109510421753,
    0.3334915190935135,
    0.47438958287239075,
    0.6079775542020798,
    0.6538268774747849,
    0.6020238846540451,
    0.5217245221138,
    0.4093313664197922,
    0.3093019425868988,
    0.22300739586353302,
    0.15629152953624725,
    0.13785314559936523,
    0.16547301411628723,
    0.25133125483989716,
    0.35009537637233734,
    0.47522859275341034,
    0.5904800146818161,
    0.6644860059022903,
    0.6722035706043243,
    0.678281381726265,
    0.667805016040802,
    0.5975280255079269,
    0.5437234491109848,
    0.4769214689731598,
    0.38761650025844574,
    0.30008260905742645,
    0.21912851929664612,
    0.1750633418560028,
    0.18220525979995728,
    0.19988885521888733,
    0.24877789616584778,
    0.2941243350505829,
    0.37502481043338776,
    0.4319453537464142,
    0.48534542322158813,
    0.4645572155714035,
    0.3656783401966095,
    0.2706657648086548,
    0.21881699562072754,
    0.18452760577201843,
    0.15636663138866425,
    0.18148638308048248,
    0.22522594034671783,
    0.3100818693637848,
    0.3917064070701599,
    0.44355031847953796,
    0.42191416025161743,
    0.39769503474235535,
    0.32932300865650177,
    0.2612031102180481,
    0.23474003374576569,
    0.20566293597221375,
    0.18834885954856873,
    0.18926817178726196,
    0.23074159026145935,
    0.2540762573480606,
    0.26995155215263367,
    0.28321631252765656,
    0.29918840527534485,
    0.27119703590869904,
    0.23923751711845398,
    0.20876169204711914,
    0.16705936193466187,
    0.1460527628660202,
    0.14025099575519562,
    0.14617112278938293,
    0.1786949634552002,
    0.24352672696113586,
    0.3240738958120346,
    0.3975663483142853,
    0.44236551225185394,
    0.4265606999397278,
    0.37847094237804413,
    0.37757477164268494,
    0.3726075738668442,
    0.3500914126634598,
    0.33611248433589935,
    0.29803793132305145,
    0.2606470286846161,
    0.1941315084695816,
    0.14118994772434235,
    0.11556580662727356,
    0.13734188675880432,
    0.1903989315032959,
    0.30036427080631256,
    0.4347771555185318,
    0.563318744301796,
    0.6945749670267105,
    0.7730642408132553,
    0.7296142876148224,
    0.6144316047430038,
    0.5085738599300385,
    0.45239244401454926,
    0.37465448677539825,
    0.30477266013622284,
    0.27274906635284424,
    0.2334967404603958,
    0.18175025284290314,
    0.18351680040359497,
    0.22562895715236664,
    0.3188967704772949,
    0.3753253072500229,
    0.4222750812768936,
    0.4436417818069458,
    0.4457251727581024,
    0.46766479313373566,
    0.5071743428707123,
    0.5412168651819229,
    0.576195552945137,
    0.5782920122146606,
    0.5694656670093536,
    0.5281961113214493,
    0.45668698847293854,
    0.4308314025402069,
    0.4036252200603485,
    0.38341009616851807,
    0.3487625867128372,
    0.33644042909145355,
    0.39240075647830963,
    0.4235481470823288,
    0.4586547762155533,
    0.548978179693222,
    0.6313667744398117,
    0.6301658302545547,
    0.5815474689006805,
    0.5595767498016357,
    0.5341646522283554,
    0.48825447261333466,
    0.46247319877147675,
    0.43139518797397614,
    0.401639387011528,
    0.38162416219711304,
    0.3368951231241226,
    0.3049202859401703,
    0.30457593500614166,
    0.3217356204986572,
    0.3480540066957474,
    0.37424756586551666,
    0.364156037569046,
    0.3184995651245117,
    0.23340573906898499,
    0.1726209968328476,
    0.1625978946685791,
    0.18944385647773743,
    0.2611146867275238,
    0.35522356629371643,
    0.4260871857404709,
    0.47643427550792694,
    0.5030879229307175,
    0.494677796959877,
    0.4239318370819092,
    0.3576464354991913,
    0.2713915556669235,
    0.22799259424209595,
    0.2482064813375473,
    0.2872631102800369,
    0.32645758986473083,
    0.395025834441185,
    0.4513338804244995,
    0.5258218199014664,
    0.5835903584957123,
    0.5884616374969482,
    0.5170931667089462,
    0.4002302438020706,
    0.32272766530513763,
    0.2848592549562454,
    0.2789417803287506,
    0.29887115955352783,
    0.3149743974208832,
    0.30976957082748413,
    0.32715417444705963,
    0.3702043294906616,
    0.41617508232593536,
    0.46233053505420685,
    0.5213227421045303,
    0.5167428702116013,
    0.48412278294563293,
    0.4134896248579025,
    0.3537484258413315,
    0.28846703469753265,
    0.2769070416688919,
    0.27894267439842224,
    0.30008500814437866,
    0.3053167015314102,
    0.29297709465026855,
    0.2853372097015381,
    0.2621367275714874,
    0.23364542424678802,
    0.21624884009361267,
    0.2186444103717804,
    0.2427084892988205,
    0.28931450843811035,
    0.33169272541999817,
    0.4011510908603668,
    0.43033283948898315,
    0.43164293467998505,
    0.42850711941719055,
    0.3865363299846649,
    0.32348649203777313,
    0.21956047415733337,
    0.15125125646591187,
    0.12645378708839417,
    0.13923819363117218,
    0.19537736475467682,
    0.268902525305748,
    0.3460915982723236,
    0.38099710643291473,
    0.36868931353092194,
    0.33016011118888855,
    0.2802945524454117,
    0.2615467607975006,
    0.2686549872159958,
    0.2509600967168808,
    0.2152251899242401,
    0.1860271841287613,
    0.1894952654838562,
    0.18663498759269714,
    0.18303298950195312,
    0.21863988041877747,
    0.2386353611946106,
    0.23018087446689606,
    0.22633054852485657,
    0.23979775607585907,
    0.26474298536777496,
    0.2646370977163315,
    0.2702319324016571,
    0.3006775230169296,
    0.3561936914920807,
    0.3954296112060547,
    0.4420989900827408,
    0.46936701238155365,
    0.45388713479042053,
    0.3977924734354019,
    0.3212529569864273,
    0.22716301679611206,
    0.17690466344356537,
    0.15480197966098785,
    0.22038684785366058,
    0.31605364382267,
    0.38792943954467773,
    0.45777393877506256,
    0.5285940021276474,
    0.5483532398939133,
    0.5077663660049438,
    0.43285180628299713,
    0.3600413501262665,
    0.30875536799430847,
    0.3076360821723938,
    0.2997809052467346,
    0.28474852442741394,
    0.2590787261724472,
    0.24358130991458893,
    0.21620845794677734,
    0.21892938017845154,
    0.21307101845741272,
    0.23003076016902924,
    0.2778106927871704,
    0.35100264847278595,
    0.41560429334640503,
    0.45268845558166504,
    0.4821166396141052,
    0.5042868256568909,
    0.4855506122112274,
    0.452724888920784,
    0.3914824426174164,
    0.3945796936750412,
    0.40894216299057007,
    0.39732396602630615,
    0.37499184906482697,
    0.39546167850494385,
    0.4108039289712906,
    0.4060148447751999,
    0.3609679043292999,
    0.30036334693431854,
    0.22889600694179535,
    0.18057534098625183,
    0.1586623340845108,
    0.17382057011127472,
    0.23860538005828857,
    0.3031815141439438,
    0.3471790701150894,
    0.3767651319503784,
    0.3905117064714432,
    0.38292041420936584,
    0.391073077917099,
    0.3904672861099243,
    0.38002434372901917,
    0.3369564712047577,
    0.31095798313617706,
    0.2966972291469574,
    0.3104664981365204,
    0.3287201523780823,
    0.3426532745361328,
    0.349225789308548,
    0.38492392003536224,
    0.43126049637794495,
    0.43715035915374756,
    0.3929481953382492,
    0.3427795320749283,
    0.2997719645500183,
    0.2769487053155899,
    0.2904386818408966,
    0.31903423368930817,
    0.358674556016922,
    0.41699205338954926,
    0.42690104246139526,
    0.42913708090782166,
    0.40269196033477783,
    0.3465442657470703,
    0.28060002624988556,
    0.24649086594581604,
    0.216461181640625,
    0.21882721781730652,
    0.22711965441703796,
    0.27326661348342896,
    0.3352719396352768,
    0.3862140625715256,
    0.4587431252002716,
    0.5049477368593216,
    0.502452552318573,
    0.49655164778232574,
    0.49061405658721924,
    0.5062631219625473,
    0.5082413405179977,
    0.47001518309116364,
    0.4232122451066971,
    0.3869304955005646,
    0.3373372107744217,
    0.31909020245075226,
    0.32011935114860535,
    0.3236875981092453,
    0.3360729217529297,
    0.35226333141326904,
    0.40192385017871857,
    0.4290863573551178,
    0.4575391411781311,
    0.4859756678342819,
    0.5133590847253799,
    0.4791361540555954,
    0.4526391327381134,
    0.4463430494070053,
    0.4555736631155014,
    0.5084455162286758,
    0.5605035871267319,
    0.5550402402877808,
    0.5657387673854828,
    0.6136582046747208,
    0.6300970762968063,
    0.6309372037649155,
    0.5839968025684357,
    0.5497851073741913,
    0.48924557864665985,
    0.42441655695438385,
    0.3610517829656601,
    0.3300132155418396,
    0.30005279183387756,
    0.2975451946258545,
    0.292571485042572,
    0.33140745759010315,
    0.38603684306144714,
    0.4476672410964966,
    0.5077701508998871,
    0.5452851504087448,
    0.5533130317926407,
    0.5632632225751877,
    0.5972023010253906,
    0.618698462843895,
    0.5903782844543457,
    0.5046858191490173,
    0.4625953435897827,
    0.44011369347572327,
    0.43529127538204193,
    0.4611880034208298,
    0.515102818608284,
    0.5546193718910217,
    0.5485453605651855,
    0.5426478832960129,
    0.5191954523324966,
    0.4389593303203583,
    0.37694457173347473,
    0.3608226031064987,
    0.3796055018901825,
    0.3919488489627838,
    0.436249777674675,
    0.5053260773420334,
    0.5335357487201691,
    0.5347185283899307,
    0.4996350556612015,
    0.495752215385437,
    0.44342413544654846,
    0.3766237497329712,
    0.3152068555355072,
    0.32697737216949463,
    0.3545476049184799,
    0.38716426491737366,
    0.43057388067245483,
    0.45809249579906464,
    0.4517441838979721,
    0.45176443457603455,
    0.4539124369621277,
    0.4387846738100052,
    0.44632574915885925,
    0.43116357922554016,
    0.4820042997598648,
    0.5374095290899277,
    0.5755762457847595,
    0.6219180375337601,
    0.5808096379041672,
    0.5320626050233841,
    0.46189142763614655,
    0.36410070955753326,
    0.2732568830251694,
    0.25161927938461304,
    0.2516750544309616,
    0.316972479224205,
    0.3707458972930908,
    0.4073895066976547,
    0.44821976125240326,
    0.46856677532196045,
    0.4539514482021332,
    0.4518783837556839,
    0.4851718246936798,
    0.5356988459825516,
    0.5651715695858002,
    0.5831214189529419,
    0.5684830248355865,
    0.56806880235672,
    0.5458949357271194,
    0.5125519782304764,
    0.4586202800273895,
    0.3872298300266266,
    0.3773688077926636,
    0.3712402731180191,
    0.35772618651390076,
    0.3510475158691406,
    0.39547330141067505,
    0.4280930310487747,
    0.4901571571826935,
    0.5338167101144791,
    0.5583362281322479,
    0.5300819575786591,
    0.4885951280593872,
    0.45187827944755554,
    0.39246203005313873,
    0.3135512173175812,
    0.27620019018650055,
    0.2641073763370514,
    0.28667670488357544,
    0.30053994059562683,
    0.3356792777776718,
    0.3842053860425949,
    0.39434781670570374,
    0.3823780417442322,
    0.3592710793018341,
    0.35019417107105255,
    0.3225565552711487,
    0.2788337916135788,
    0.25986894965171814,
    0.24670644104480743,
    0.23796233534812927,
    0.23793913424015045,
    0.272368848323822,
    0.30907411873340607,
    0.31919196248054504,
    0.2910648286342621,
    0.2910315543413162,
    0.30426740646362305,
    0.31848789751529694,
    0.3233419954776764,
    0.25672759115695953,
    0.21866287291049957,
    0.17980128526687622,
    0.20937123894691467,
    0.2968090623617172,
    0.37608836591243744,
    0.4074442833662033,
    0.45122599601745605,
    0.46054938435554504,
    0.44804906845092773,
    0.41829508543014526,
    0.3999372571706772,
    0.36905263364315033,
    0.32467201352119446,
    0.2796289324760437,
    0.22248470783233643,
    0.17735226452350616,
    0.17699530720710754,
    0.1992749124765396,
    0.2382695972919464,
    0.2749780863523483,
    0.2885607182979584,
    0.289502888917923,
    0.2677496373653412,
    0.25602371990680695,
    0.24118629097938538,
    0.2436930239200592,
    0.28994637727737427,
    0.3552488833665848,
    0.4266955554485321,
    0.4764842092990875,
    0.49414095282554626,
    0.5136030912399292,
    0.4952760189771652,
    0.4625363200902939,
    0.40027526021003723,
    0.36025191843509674,
    0.3288740962743759,
    0.3178147077560425,
    0.33034515380859375,
    0.38828451931476593,
    0.44564786553382874,
    0.46643388271331787,
    0.5039705634117126,
    0.5049433559179306,
    0.5211544930934906,
    0.5389799922704697,
    0.5519533753395081,
    0.5200236886739731,
    0.48799945414066315,
    0.4105827510356903,
    0.3198954612016678,
    0.2506553828716278,
    0.2102501541376114,
    0.20444494485855103,
    0.20943479239940643,
    0.2534870058298111,
    0.3347662687301636,
    0.4433899521827698,
    0.5281195044517517,
    0.5436695963144302,
    0.5481299161911011,
    0.5574125647544861,
    0.5209893733263016,
    0.45808348059654236,
    0.4383765757083893,
    0.44680389761924744,
    0.4606553167104721,
    0.5070215165615082,
    0.565782755613327,
    0.6418058276176453,
    0.6812538057565689,
    0.6945864260196686,
    0.6620764881372452,
    0.5839837938547134,
    0.5156503319740295,
    0.44585810601711273,
    0.39575938880443573,
    0.33046743273735046,
    0.2739310711622238,
    0.2553316205739975,
    0.3052979111671448,
    0.36832092702388763,
    0.4468885809183121,
    0.5023151338100433,
    0.5063139796257019,
    0.45599308609962463,
    0.38866668939590454,
    0.3113846182823181,
    0.25804896652698517,
    0.19854645431041718,
    0.18885092437267303,
    0.23830802738666534,
    0.2944081425666809,
    0.36074239015579224,
    0.41568511724472046,
    0.462956964969635,
    0.471567764878273,
    0.45364566147327423,
    0.43892277777194977,
    0.3958256095647812,
    0.35255827009677887,
    0.33762434124946594,
    0.3578261435031891,
    0.4200492650270462,
    0.4631802886724472,
    0.496011421084404,
    0.5193972289562225,
    0.49642452597618103,
    0.48261500895023346,
    0.44734784960746765,
    0.42217445373535156,
    0.4038551449775696,
    0.38322220742702484,
    0.39144524931907654,
    0.3908165693283081,
    0.39702364802360535,
    0.40150707960128784,
    0.394813135266304,
    0.3563375920057297,
    0.3424299508333206,
    0.3579602837562561,
    0.39757654070854187,
    0.4339108318090439,
    0.49318258464336395,
    0.5499074459075928,
    0.6034040451049805,
    0.6110615730285645,
    0.6320435553789139,
    0.602169930934906,
    0.5436539202928543,
    0.5243720710277557,
    0.5223204046487808,
    0.4778556376695633,
    0.4055218994617462,
    0.39327767491340637,
    0.39931656420230865,
    0.4026803970336914,
    0.36777254939079285,
    0.32303178310394287,
    0.2982182800769806,
    0.29016056656837463,
    0.29010795056819916,
    0.35197439789772034,
    0.40022851526737213,
    0.4134019911289215,
    0.40383070707321167,
    0.39969150722026825,
    0.40527889132499695,
    0.4385521411895752,
    0.48716166615486145,
    0.49237722158432007,
    0.5030332654714584,
    0.469435915350914,
    0.39601950347423553,
    0.3459787219762802,
    0.2849990576505661,
    0.2535242438316345,
    0.2585793435573578,
    0.30579257011413574,
    0.3303758203983307,
    0.41181641817092896,
    0.5183695703744888,
    0.5864045321941376,
    0.5831907093524933,
    0.5506129264831543,
    0.49011580646038055,
    0.4345623701810837,
    0.3610985428094864,
    0.3307161033153534,
    0.3113259822130203,
    0.31758303940296173,
    0.32936812937259674,
    0.3710809499025345,
    0.4010000377893448,
    0.4495619982481003,
    0.458328515291214,
    0.4571119248867035,
    0.4609566777944565,
    0.474275678396225,
    0.4982910305261612,
    0.5430130660533905,
    0.5782668590545654,
    0.6234904527664185,
    0.5799198150634766,
    0.5207004845142365,
    0.4501135051250458,
    0.3960859775543213,
    0.34196285903453827,
    0.35586918890476227,
    0.37053339183330536,
    0.3861376643180847,
    0.37769247591495514,
    0.355543851852417,
    0.3220553398132324,
    0.28431230783462524,
    0.2865009903907776,
    0.29045307636260986,
    0.320035457611084,
    0.321673646569252,
    0.3783857673406601,
    0.4331316202878952,
    0.4809267222881317,
    0.5170938074588776,
    0.543961688876152,
    0.5762128680944443,
    0.5582296252250671,
    0.4858895242214203,
    0.40987682342529297,
    0.39683495461940765,
    0.4406956136226654,
    0.4761856496334076,
    0.47385793924331665,
    0.46565067768096924,
    0.45475931465625763,
    0.46097882091999054,
    0.4539978355169296,
    0.47262042760849,
    0.4715707004070282,
    0.44091179966926575,
    0.43360187113285065,
    0.4082976430654526,
    0.35209205746650696,
    0.33898623287677765,
    0.3322025388479233,
    0.33474332094192505,
    0.3462923467159271,
    0.33869314193725586,
    0.3526892513036728,
    0.33825919032096863,
    0.2918485552072525,
    0.23701520264148712,
    0.2085530310869217,
    0.20889437198638916,
    0.21572841703891754,
    0.22276215255260468,
    0.2513481676578522,
    0.2760278284549713,
    0.26807908713817596,
    0.2698051482439041,
    0.2990497499704361,
    0.3488224148750305,
    0.3613292723894119,
    0.38087083399295807,
    0.42002466320991516,
    0.4256702810525894,
    0.4257200360298157,
    0.40613308548927307,
    0.372669517993927,
    0.31955067813396454,
    0.26191505789756775,
    0.24317005276679993,
    0.2476777285337448,
    0.3034708797931671,
    0.39594316482543945,
    0.5133503377437592,
    0.592338353395462,
    0.620323434472084,
    0.5977033376693726,
    0.5030288845300674,
    0.4136410057544708,
    0.3005373477935791,
    0.23123140633106232,
    0.14927305281162262,
    0.12499773502349854,
    0.125629261136055,
    0.19815731048583984,
    0.2758631259202957,
    0.3653073161840439,
    0.4088538736104965,
    0.4016982465982437,
    0.35940729081630707,
    0.32998989522457123,
    0.33222322165966034,
    0.37028713524341583,
    0.44096559286117554,
    0.5229663252830505,
    0.6041151583194733,
    0.6163050681352615,
    0.6177288442850113,
    0.5995633453130722,
    0.5412251949310303,
    0.4371432065963745,
    0.33609016239643097,
    0.2825138419866562,
    0.25340668857097626,
    0.26539427042007446,
    0.26631294190883636,
    0.2898900508880615,
    0.3295016586780548,
    0.3840071111917496,
    0.42570458352565765,
    0.4456630051136017,
    0.47842012345790863,
    0.4796619415283203,
    0.45082786679267883,
    0.4130919277667999,
    0.34594203531742096,
    0.23548263311386108,
    0.18603965640068054,
    0.15008549392223358,
    0.1422928273677826,
    0.13803642988204956,
    0.19754138588905334,
    0.26832887530326843,
    0.3442055433988571,
    0.4405059665441513,
    0.48396843671798706,
    0.4671044200658798,
    0.45521171391010284,
    0.4389650225639343,
    0.45790474116802216,
    0.4446682780981064,
    0.42036671936511993,
    0.34518201649188995,
    0.27477943897247314,
    0.24723242223262787,
    0.24666142463684082,
    0.25812719762325287,
    0.288573756814003,
    0.3137119859457016,
    0.3248293250799179,
    0.34962889552116394,
    0.3799876719713211,
    0.38449546694755554,
    0.39892901480197906,
    0.3994592875242233,
    0.4074416607618332,
    0.4054142236709595,
    0.3752732276916504,
    0.365826278924942,
    0.36667002737522125,
    0.3624252825975418,
    0.37020520865917206,
    0.4027153104543686,
    0.4612758159637451,
    0.4705035537481308,
    0.4209929406642914,
    0.4055756628513336,
    0.3955564945936203,
    0.34491322934627533,
    0.2886339873075485,
    0.24990606307983398,
    0.22626113891601562,
    0.2321932315826416,
    0.29322126507759094,
    0.3676246702671051,
    0.44236405193805695,
    0.504800871014595,
    0.5417998433113098,
    0.5222043097019196,
    0.478681743144989,
    0.4288713186979294,
    0.3615630269050598,
    0.28117917478084564,
    0.24242444336414337,
    0.24954527616500854,
    0.2876262366771698,
    0.3560582846403122,
    0.3958824574947357,
    0.42744459211826324,
    0.4112454056739807,
    0.40534986555576324,
    0.42467737197875977,
    0.39445964992046356,
    0.3741771876811981,
    0.368452787399292,
    0.4257787615060806,
    0.4779679477214813,
    0.5509044229984283,
    0.589949905872345,
    0.6046114265918732,
    0.5806732177734375,
    0.4968017339706421,
    0.41942620277404785,
    0.36601145565509796,
    0.2775096595287323,
    0.21507692337036133,
    0.2411220371723175,
    0.29693152010440826,
    0.38573557138442993,
    0.44575029611587524,
    0.4810318052768707,
    0.4544939696788788,
    0.4015554189682007,
    0.3200218975543976,
    0.2886258214712143,
    0.3134336918592453,
    0.33123672008514404,
    0.3885628283023834,
    0.45680829882621765,
    0.540320098400116,
    0.5590120106935501,
    0.5885851830244064,
    0.5941847562789917,
    0.6026260703802109,
    0.6069036573171616,
    0.5997502356767654,
    0.597699835896492,
    0.6023486256599426,
    0.6175253987312317,
    0.6145786792039871,
    0.6147078275680542,
    0.6220965832471848,
    0.6745138615369797,
    0.6681142896413803,
    0.682961493730545,
    0.6859110891819,
    0.626837745308876,
    0.5364140868186951,
    0.48161110281944275,
    0.4641314744949341,
    0.4646856188774109,
    0.46257732808589935,
    0.4262758642435074,
    0.4137778729200363,
    0.41355107724666595,
    0.4107525199651718,
    0.3796883672475815,
    0.36144520342350006,
    0.3616485297679901,
    0.3990345448255539,
    0.4372014254331589,
    0.4705791026353836,
    0.4671504944562912,
    0.46219290792942047,
    0.46080924570560455,
    0.4286022335290909,
    0.4483088254928589,
    0.4465368390083313,
    0.41894423961639404,
    0.38045430183410645,
    0.36099226772785187,
    0.36277325451374054,
    0.38318848609924316,
    0.4228333681821823,
    0.46312861144542694,
    0.49375055730342865,
    0.46716657280921936,
    0.47993703186511993,
    0.4994901418685913,
    0.5493074506521225,
    0.5226015746593475,
    0.46844595670700073,
    0.43672339618206024,
    0.4266165643930435,
    0.4478554129600525,
    0.5110402405261993,
    0.5873804241418839,
    0.6334814727306366,
    0.6797533184289932,
    0.6915286481380463,
    0.6713044941425323,
    0.6131593436002731,
    0.5335164666175842,
    0.4742714911699295,
    0.4177735894918442,
    0.4139620512723923,
    0.47375771403312683,
    0.5778396874666214,
    0.5701715499162674,
    0.5824682712554932,
    0.6173132210969925,
    0.6428117603063583,
    0.6233026087284088,
    0.5317748337984085,
    0.47705675661563873,
    0.4581283926963806,
    0.44886188209056854,
    0.4319126307964325,
    0.46508145332336426,
    0.4735974669456482,
    0.4931303411722183,
    0.5107530653476715,
    0.5151045024394989,
    0.5223010629415512,
    0.5486932843923569,
    0.5514582693576813,
    0.558128759264946,
    0.5455325990915298,
    0.569795086979866,
    0.5885606855154037,
    0.5904074758291245,
    0.6044687628746033,
    0.5963545739650726,
    0.6134178042411804,
    0.6128891557455063,
    0.558479055762291,
    0.5101205855607986,
    0.5079204738140106,
    0.46913714706897736,
    0.44514456391334534,
    0.4311143308877945,
    0.4493653178215027,
    0.47742296755313873,
    0.5399395078420639,
    0.5946665108203888,
    0.629004567861557,
    0.6200018972158432,
    0.5801817029714584,
    0.5967113673686981,
    0.5919448137283325,
    0.6073109209537506,
    0.5910898298025131,
    0.5892144739627838,
    0.5382082909345627,
    0.45508188009262085,
    0.41402795910835266,
    0.3913077712059021,
    0.37742362916469574,
    0.3540146052837372,
    0.3341260552406311,
    0.3185923844575882,
    0.31877389550209045,
    0.3110984116792679,
    0.2774210572242737,
    0.2642061114311218,
    0.2936229407787323,
    0.33304184675216675,
    0.38098907470703125,
    0.42063644528388977,
    0.4762395769357681,
    0.4767978936433792,
    0.48525337874889374,
    0.4582802951335907,
    0.4397363066673279,
    0.4865952581167221,
    0.5424093455076218,
    0.5913089662790298,
    0.6094185709953308,
    0.6305359452962875,
    0.6231764703989029,
    0.6147499829530716,
    0.6118817776441574,
    0.5558357685804367,
    0.513675257563591,
    0.46676427125930786,
    0.43163664638996124,
    0.4181809425354004,
    0.4294537603855133,
    0.4373265355825424,
    0.44688326120376587,
    0.4457886666059494,
    0.4264344722032547,
    0.43628717958927155,
    0.43440207839012146,
    0.447454571723938,
    0.4729682058095932,
    0.46394334733486176,
    0.41018109023571014,
    0.41016511619091034,
    0.4253372550010681,
    0.40545305609703064,
    0.3925952613353729,
    0.40493127703666687,
    0.45997312664985657,
    0.48722749948501587,
    0.5243528932332993,
    0.5547795295715332,
    0.552380695939064,
    0.5811339169740677,
    0.572861522436142,
    0.5116477757692337,
    0.48285380005836487,
    0.4218367785215378,
    0.3973294049501419,
    0.36655373871326447,
    0.34408290684223175,
    0.33321090042591095,
    0.3316264748573303,
    0.30533914268016815,
    0.2577349990606308,
    0.22407972812652588,
    0.209710031747818,
    0.2607976794242859,
    0.3287633955478668,
    0.4125960171222687,
    0.4827839136123657,
    0.5267269164323807,
    0.46281830966472626,
    0.42146214842796326,
    0.3839338719844818,
    0.3465396612882614,
    0.33366863429546356,
    0.3350652605295181,
    0.33016684651374817,
    0.3443007171154022,
    0.3177798092365265,
    0.27571554481983185,
    0.28860896825790405,
    0.3522859066724777,
    0.4271906614303589,
    0.4622410535812378,
    0.4920146018266678,
    0.4950726181268692,
    0.49677418172359467,
    0.47023242712020874,
    0.4822022318840027,
    0.5109376460313797,
    0.49912555515766144,
    0.51173335313797,
    0.5728740841150284,
    0.5907480418682098,
    0.6107470542192459,
    0.5979627370834351,
    0.5736234188079834,
    0.5083675533533096,
    0.4396696984767914,
    0.42796099185943604,
    0.3991929292678833,
    0.372011199593544,
    0.35722580552101135,
    0.3801799565553665,
    0.4137256592512131,
    0.4653060883283615,
    0.48604816198349,
    0.5315761864185333,
    0.5412057042121887,
    0.4963977187871933,
    0.5146162509918213,
    0.48434823751449585,
    0.42959681153297424,
    0.3944381773471832,
    0.45013344287872314,
    0.4859379082918167,
    0.5167598724365234,
    0.5055732876062393,
    0.4516774117946625,
    0.38394439220428467,
    0.3138696402311325,
    0.2463914453983307,
    0.20210176706314087,
    0.1943608522415161,
    0.19116953015327454,
    0.22439345717430115,
    0.25101715326309204,
    0.284550204873085,
    0.33659982681274414,
    0.3892221301794052,
    0.40528450906276703,
    0.4035709947347641,
    0.4034627079963684,
    0.40808333456516266,
    0.42911529541015625,
    0.42527417838573456,
    0.4314267933368683,
    0.41954614222049713,
    0.3839372843503952,
    0.33884648978710175,
    0.31517764925956726,
    0.31492002308368683,
    0.3255556672811508,
    0.3189915716648102,
    0.2642548233270645,
    0.19996747374534607,
    0.16102956235408783,
    0.1472988724708557,
    0.14512945711612701,
    0.16444504261016846,
    0.18702836334705353,
    0.2396630346775055,
    0.32697685062885284,
    0.39107994735240936,
    0.4662969559431076,
    0.4998720735311508,
    0.5105216950178146,
    0.5025350898504257,
    0.49385131895542145,
    0.4748240113258362,
    0.4107577055692673,
    0.39728762209415436,
    0.3841068744659424,
    0.3930046260356903,
    0.40025292336940765,
    0.42288218438625336,
    0.4067273736000061,
    0.3427213132381439,
    0.27387169003486633,
    0.25334225594997406,
    0.22445785999298096,
    0.2201952487230301,
    0.22299440205097198,
    0.24693375825881958,
    0.28485384583473206,
    0.2906787842512131,
    0.29905496537685394,
    0.31253886222839355,
    0.3320705443620682,
    0.3273818641901016,
    0.3391534984111786,
    0.3515597879886627,
    0.3738490492105484,
    0.3545169085264206,
    0.3476695269346237,
    0.34033533930778503,
    0.32540760934352875,
    0.3346853256225586,
    0.3354908227920532,
    0.3416009396314621,
    0.3370323032140732,
    0.34711819887161255,
    0.3986826688051224,
    0.46198590099811554,
    0.4901379197835922,
    0.49451732635498047,
    0.4702344685792923,
    0.41650450229644775,
    0.34663496911525726,
    0.31777775287628174,
    0.3221895098686218,
    0.29956014454364777,
    0.31124889850616455,
    0.32349157333374023,
    0.36579079926013947,
    0.3546355962753296,
    0.34940090775489807,
    0.33037281036376953,
    0.32111741602420807,
    0.3341605067253113,
    0.33255937695503235,
    0.3656926304101944,
    0.3964966833591461,
    0.41266222298145294,
    0.3685687184333801,
    0.33121903240680695,
    0.2902987599372864,
    0.2372003048658371,
    0.20157693326473236,
    0.2090502828359604,
    0.24700571596622467,
    0.3027486801147461,
    0.37736059725284576,
    0.4326278418302536,
    0.4750386029481888,
    0.4822491407394409,
    0.45433351397514343,
    0.39042800664901733,
    0.26820580661296844,
    0.20197218656539917,
    0.1841905266046524,
    0.17887823283672333,
    0.19819572567939758,
    0.25065164268016815,
    0.3018779158592224,
    0.32864925265312195,
    0.3527362197637558,
    0.37762682139873505,
    0.38525527715682983,
    0.37353405356407166,
    0.3709065765142441,
    0.37816256284713745,
    0.3655299097299576,
    0.36899426579475403,
    0.38003920018672943,
    0.37274566292762756,
    0.3440060317516327,
    0.3073609173297882,
    0.2919794023036957,
    0.2961994707584381,
    0.2907293289899826,
    0.269684836268425,
    0.22836096584796906,
    0.22740380465984344,
    0.20305821299552917,
    0.17386166751384735,
    0.18622040748596191,
    0.24447055160999298,
    0.29221251606941223,
    0.3160478472709656,
    0.3003455251455307,
    0.2468656450510025,
    0.18739566206932068,
    0.15928585827350616,
    0.16034644842147827,
    0.18607673048973083,
    0.21314838528633118,
    0.25568509101867676,
    0.31187769770622253,
    0.34254899621009827,
    0.3887525498867035,
    0.4317420572042465,
    0.4547298848628998,
    0.4498138725757599,
    0.43145664036273956,
    0.43678706884384155,
    0.41638222336769104,
    0.3802247643470764,
    0.3423110246658325,
    0.3580089211463928,
    0.3683691471815109,
    0.3694049268960953,
    0.358439564704895,
    0.3354523032903671,
    0.3067406266927719,
    0.30361033976078033,
    0.3528023809194565,
    0.3848886787891388,
    0.38607634603977203,
    0.4006473869085312,
    0.42106732726097107,
    0.4161027818918228,
    0.40373674035072327,
    0.4117193818092346,
    0.41254591941833496,
    0.40862226486206055,
    0.4295859783887863,
    0.40859974920749664,
    0.4062143862247467,
    0.4281671643257141,
    0.44818657636642456,
    0.48923859000205994,
    0.5099091529846191,
    0.5223572850227356,
    0.5023717433214188,
    0.4876083433628082,
    0.5196996480226517,
    0.5317284464836121,
    0.5493219047784805,
    0.5199218839406967,
    0.4369645416736603,
    0.39365410804748535,
    0.3936334550380707,
    0.41826583445072174,
    0.42149509489536285,
    0.45140543580055237,
    0.5304579436779022,
    0.5848915129899979,
    0.6184023171663284,
    0.6250061392784119,
    0.6157919615507126,
    0.5963239669799805,
    0.5421259701251984,
    0.5496440976858139,
    0.5742806643247604,
    0.6119071841239929,
    0.6235421001911163,
    0.6440406739711761,
    0.656508058309555,
    0.653028592467308,
    0.6078075915575027,
    0.5643356889486313,
    0.49033014476299286,
    0.430242121219635,
    0.4057793915271759,
    0.3875124007463455,
    0.35628485679626465,
    0.35121865570545197,
    0.38373515009880066,
    0.4246715307235718,
    0.45842674374580383,
    0.49374207854270935,
    0.5335444211959839,
    0.5561569184064865,
    0.5743559002876282,
    0.6232274323701859,
    0.6438245922327042,
    0.5981418043375015,
    0.49202466011047363,
    0.4052686244249344,
    0.2992280423641205,
    0.19228073954582214,
    0.11746957898139954,
    0.09105205535888672,
    0.08135305345058441,
    0.08398571610450745,
    0.11284658312797546,
    0.15836818516254425,
    0.2282606065273285,
    0.28155937790870667,
    0.3635813295841217,
    0.42248794436454773,
    0.4142025262117386,
    0.42587167024612427,
    0.429574579000473,
    0.40480536222457886,
    0.37882041931152344,
    0.41080302000045776,
    0.4571988135576248,
    0.5071528255939484,
    0.5094615370035172,
    0.5058062970638275,
    0.5026558190584183,
    0.4754318296909332,
    0.4162766635417938,
    0.3718731105327606,
    0.3726121783256531,
    0.39306382834911346,
    0.41446007788181305,
    0.45475924015045166,
    0.5062512159347534,
    0.5164285153150558,
    0.49817483127117157,
    0.5209794193506241,
    0.5467368066310883,
    0.5626332014799118,
    0.526150718331337,
    0.4958762973546982,
    0.46156400442123413,
    0.40415503084659576,
    0.33703501522541046,
    0.3092058598995209,
    0.27011118829250336,
    0.28510427474975586,
    0.3169921189546585,
    0.3771497756242752,
    0.44858355820178986,
    0.49041691422462463,
    0.5359601974487305,
    0.5442810356616974,
    0.5485071092844009,
    0.530931368470192,
    0.5035429745912552,
    0.4593116044998169,
    0.4707532227039337,
    0.4371762275695801,
    0.37809106707572937,
    0.30304867029190063,
    0.24836674332618713,
    0.18768824636936188,
    0.14467556774616241,
    0.12018243968486786,
    0.14309950172901154,
    0.1782553791999817,
    0.2130652368068695,
    0.2616674304008484,
    0.2684528976678848,
    0.3004201501607895,
    0.35991500318050385,
    0.4285834729671478,
    0.4673606753349304,
    0.47963353991508484,
    0.4364548623561859,
    0.35666699707508087,
    0.30619679391384125,
    0.2669370174407959,
    0.251800000667572,
    0.2815127819776535,
    0.308003306388855,
    0.3114318251609802,
    0.3345085382461548,
    0.3404720425605774,
    0.3567148298025131,
    0.3739933520555496,
    0.42386583983898163,
    0.4633082449436188,
    0.49834781885147095,
    0.5300384908914566,
    0.510621964931488,
    0.4559325873851776,
    0.4201934039592743,
    0.3760065585374832,
    0.35512982308864594,
    0.3513076603412628,
    0.3255910128355026,
    0.3184719681739807,
    0.2850280702114105,
    0.3017153739929199,
    0.3305528312921524,
    0.39586466550827026,
    0.47298502922058105,
    0.5315932780504227,
    0.526057556271553,
    0.4691751301288605,
    0.4010429084300995,
    0.3467978835105896,
    0.35113488137722015,
    0.36591318249702454,
    0.40508192777633667,
    0.4466153085231781,
    0.4532669931650162,
    0.4386814385652542,
    0.4116244912147522,
    0.38644908368587494,
    0.3354877680540085,
    0.25114788115024567,
    0.18705233931541443,
    0.15923777222633362,
    0.17035146057605743,
    0.22274775803089142,
    0.2713148444890976,
    0.3017173409461975,
    0.3663417845964432,
    0.40761564671993256,
    0.4555571973323822,
    0.49562495946884155,
    0.506885752081871,
    0.45067499577999115,
    0.385170042514801,
    0.32851162552833557,
    0.257300540804863,
    0.212546244263649,
    0.2111773043870926,
    0.2227722704410553,
    0.21119947731494904,
    0.1770462542772293,
    0.16852577030658722,
    0.1743643581867218,
    0.1905088573694229,
    0.21679040789604187,
    0.1940057873725891,
    0.2077273279428482,
    0.20958644151687622,
    0.19352993369102478,
    0.1899825781583786,
    0.16121798753738403,
    0.15935848653316498,
    0.14308953285217285,
    0.11304901540279388,
    0.07040044665336609,
    0.047904372215270996,
    0.06594191491603851,
    0.08813181519508362,
    0.0911826640367508,
    0.09825541079044342,
    0.12620805203914642,
    0.16627001762390137,
    0.17900165915489197,
    0.22342246770858765,
    0.29241131246089935,
    0.335598886013031,
    0.3759751170873642,
    0.4122810959815979,
    0.4389858543872833,
    0.42683443427085876,
    0.3808286488056183,
    0.34739531576633453,
    0.31346920132637024,
    0.2777017205953598,
    0.23599547147750854,
    0.20911391079425812,
    0.1776873767375946,
    0.1479824036359787,
    0.13460156321525574,
    0.13885220885276794,
    0.17812564969062805,
    0.2297009974718094,
    0.2520328462123871,
    0.2442886382341385,
    0.21471014618873596,
    0.20603324472904205,
    0.17519614100456238,
    0.17434723675251007,
    0.18638825416564941,
    0.22683195769786835,
    0.2759954333305359,
    0.3587464541196823,
    0.4398316890001297,
    0.46752502024173737,
    0.49679386615753174,
    0.4959400147199631,
    0.45407599210739136,
    0.35755516588687897,
    0.29814812541007996,
    0.25350676476955414,
    0.17701740562915802,
    0.10426744818687439,
    0.05947616696357727,
    0.02731938660144806,
    0.026796802878379822,
    0.05631820857524872,
    0.08178921043872833,
    0.12215310335159302,
    0.15212489664554596,
    0.19214357435703278,
    0.2120833396911621,
    0.2602214515209198,
    0.2921976149082184,
    0.3227739632129669,
    0.3438558578491211,
    0.3354053497314453,
    0.30477263033390045,
    0.2629319876432419,
    0.23414170742034912,
    0.20011213421821594,
    0.18906483054161072,
    0.1951640546321869,
    0.21170540153980255,
    0.2148643434047699,
    0.1983179897069931,
    0.1961640864610672,
    0.18814635276794434,
    0.2080661952495575,
    0.22220200300216675,
    0.23177100718021393,
    0.24282735586166382,
    0.25412483513355255,
    0.30799029767513275,
    0.3619120866060257,
    0.41382355988025665,
    0.44085875153541565,
    0.45989520847797394,
    0.46390339732170105,
    0.4381542056798935,
    0.41654279828071594,
    0.36834006011486053,
    0.3001875579357147,
    0.22364124655723572,
    0.17986120283603668,
    0.17285652458667755,
    0.21855178475379944,
    0.28169381618499756,
    0.3490344434976578,
    0.43550655245780945,
    0.4393196254968643,
    0.38760511577129364,
    0.3093396872282028,
    0.2729921340942383,
    0.26683998107910156,
    0.24860882759094238,
    0.24474436044692993,
    0.24216631054878235,
    0.29557040333747864,
    0.3151019215583801,
    0.34033460915088654,
    0.3707098066806793,
    0.4414677768945694,
    0.47975093126296997,
    0.5132291167974472,
    0.5507935434579849,
    0.5788283348083496,
    0.6161889284849167,
    0.6015888452529907,
    0.5821118205785751,
    0.4936800003051758,
    0.42589712142944336,
    0.365891233086586,
    0.31790120899677277,
    0.25011858344078064,
    0.22312110662460327,
    0.22445940971374512,
    0.24893492460250854,
    0.2703532874584198,
    0.28698788583278656,
    0.2667594999074936,
    0.2323402315378189,
    0.20088829100131989,
    0.18453967571258545,
    0.2485588788986206,
    0.34917716681957245,
    0.4510500133037567,
    0.46028052270412445,
    0.45957495272159576,
    0.42475780844688416,
    0.3571055978536606,
    0.3046691566705704,
    0.2508625388145447,
    0.220502108335495,
    0.21201075613498688,
    0.2448618859052658,
    0.2957027703523636,
    0.33562375605106354,
    0.34883272647857666,
    0.32008369266986847,
    0.2934058606624603,
    0.2696305513381958,
    0.2634119838476181,
    0.2874740660190582,
    0.3152073323726654,
    0.3203589767217636,
    0.302627369761467,
    0.30619649589061737,
    0.31719206273555756,
    0.34588050842285156,
    0.3525025248527527,
    0.3699624836444855,
    0.37229374051094055,
    0.370960533618927,
    0.3957202434539795,
    0.4333113431930542,
    0.4322660267353058,
    0.4276784658432007,
    0.3920332193374634,
    0.3248852491378784,
    0.26684223115444183,
    0.2012096494436264,
    0.15576498210430145,
    0.17588038742542267,
    0.19955353438854218,
    0.19685856997966766,
    0.1577422171831131,
    0.1259828358888626,
    0.08572526276111603,
    0.04718625545501709,
    0.06058603525161743,
    0.07852476835250854,
    0.12040017545223236,
    0.1583939790725708,
    0.17724637687206268,
    0.19471243023872375,
    0.20728939771652222,
    0.20757298171520233,
    0.19222620129585266,
    0.17137770354747772,
    0.15469323098659515,
    0.1388687938451767,
    0.164230078458786,
    0.1893235146999359,
    0.24077758193016052,
    0.307964950799942,
    0.36696574091911316,
    0.3886621296405792,
    0.3727266639471054,
    0.34568677842617035,
    0.3209674507379532,
    0.2719653844833374,
    0.2288580685853958,
    0.17563748359680176,
    0.15616151690483093,
    0.13331347703933716,
    0.1172114908695221,
    0.16168062388896942,
    0.2459036111831665,
    0.3351852744817734,
    0.3929436653852463,
    0.45402297377586365,
    0.5181915760040283,
    0.5037919580936432,
    0.4296928495168686,
    0.35448963940143585,
    0.28903526067733765,
    0.197722926735878,
    0.14720606803894043,
    0.13011637330055237,
    0.16618329286575317,
    0.21638117730617523,
    0.2601877301931381,
    0.3027467578649521,
    0.33488835394382477,
    0.34003688395023346,
    0.31326812505722046,
    0.30690501630306244,
    0.29012858867645264,
    0.26178131997585297,
    0.2421894371509552,
    0.26476943492889404,
    0.2869754135608673,
    0.31850025057792664,
    0.3479197472333908,
    0.4175546020269394,
    0.4400588274002075,
    0.41993680596351624,
    0.4399424195289612,
    0.43896234035491943,
    0.40605083107948303,
    0.37497077882289886,
    0.3636736571788788,
    0.3669287711381912,
    0.3984745442867279,
    0.442937508225441,
    0.4629887640476227,
    0.4483751505613327,
    0.43080250918865204,
    0.4006022959947586,
    0.3568113297224045,
    0.2876289486885071,
    0.2586350739002228,
    0.24100245535373688,
    0.2525150179862976,
    0.2726106196641922,
    0.30238693952560425,
    0.3652806282043457,
    0.4412063658237457,
    0.5134380906820297,
    0.5528162270784378,
    0.5432964265346527,
    0.5444327592849731,
    0.5315416008234024,
    0.5415451675653458,
    0.5459110885858536,
    0.5796216875314713,
    0.5334751009941101,
    0.46401385962963104,
    0.42107318341732025,
    0.39310307800769806,
    0.35049231350421906,
    0.31853997707366943,
    0.35846154391765594,
    0.4218646287918091,
    0.45275773108005524,
    0.4375927746295929,
    0.4586327075958252,
    0.4596865177154541,
    0.4260987490415573,
    0.3904242515563965,
    0.3800618350505829,
    0.3652510792016983,
    0.3472393602132797,
    0.33534911274909973,
    0.3116772025823593,
    0.3043352961540222,
    0.3118724375963211,
    0.3304691016674042,
    0.36543889343738556,
    0.3857056647539139,
    0.3818284869194031,
    0.35732854902744293,
    0.35982203483581543,
    0.36716440320014954,
    0.3886188715696335,
    0.420745387673378,
    0.43737679719924927,
    0.4143778681755066,
    0.4055544584989548,
    0.43778689205646515,
    0.4708729088306427,
    0.49682310223579407,
    0.549455001950264,
    0.6014067828655243,
    0.6178826689720154,
    0.6037335097789764,
    0.5782300680875778,
    0.5278881341218948,
    0.5069231986999512,
    0.4720765948295593,
    0.46575306355953217,
    0.4708080589771271,
    0.4757272005081177,
    0.4683360457420349,
    0.5109634548425674,
    0.5739155560731888,
    0.6328328996896744,
    0.6789465993642807,
    0.7136688828468323,
    0.725288450717926,
    0.7210981398820877,
    0.7488361448049545,
    0.756050631403923,
    0.7269281893968582,
    0.6582326889038086,
    0.6071124076843262,
    0.5708311498165131,
    0.5116550177335739,
    0.4332398772239685,
    0.36647413671016693,
    0.35251808166503906,
    0.3579014986753464,
    0.3802032023668289,
    0.4362668991088867,
    0.49671271443367004,
    0.5421193242073059,
    0.5528775006532669,
    0.548884779214859,
    0.530827671289444,
    0.5150559842586517,
    0.5330020636320114,
    0.5556419640779495,
    0.5777366906404495,
    0.6029683649539948,
    0.6300477683544159,
    0.6318810284137726,
    0.6311572939157486,
    0.6066059023141861,
    0.584488719701767,
    0.5873423963785172,
    0.5679899454116821,
    0.5112649649381638,
    0.44763633608818054,
    0.39580728113651276,
    0.37090055644512177,
    0.34972649812698364,
    0.3690163195133209,
    0.4272969663143158,
    0.472042515873909,
    0.4739804267883301,
    0.4812934547662735,
    0.5048310309648514,
    0.5191534161567688,
    0.4923269897699356,
    0.4795071482658386,
    0.461272731423378,
    0.47269947826862335,
    0.524297297000885,
    0.5642210096120834,
    0.5736803114414215,
    0.5889443606138229,
    0.5524078905582428,
    0.5277643948793411,
    0.4566204249858856,
    0.4209330230951309,
    0.4234653413295746,
    0.45238542556762695,
    0.4626268148422241,
    0.47445981204509735,
    0.4859108179807663,
    0.5509504824876785,
    0.5844058841466904,
    0.5877778232097626,
    0.5207069963216782,
    0.49539604783058167,
    0.45171040296554565,
    0.4153817296028137,
    0.39592453837394714,
    0.3999864161014557,
    0.43839865922927856,
    0.5103703141212463,
    0.5872130393981934,
    0.6417689472436905,
    0.6432629972696304,
    0.6349034607410431,
    0.6188650280237198,
    0.6269130557775497,
    0.6072200238704681,
    0.5685305297374725,
    0.4989844858646393,
    0.45213252305984497,
    0.43747827410697937,
    0.4084874987602234,
    0.3993283212184906,
    0.3955579400062561,
    0.38268308341503143,
    0.36085937917232513,
    0.31932853162288666,
    0.28256621956825256,
    0.2600972056388855,
    0.2898861765861511,
    0.33484531939029694,
    0.35277144610881805,
    0.3672477602958679,
    0.40554341673851013,
    0.45682384073734283,
    0.5101774334907532,
    0.5390682965517044,
    0.5731056779623032,
    0.5845875144004822,
    0.5956268757581711,
    0.5603006929159164,
    0.5725640654563904,
    0.5579151511192322,
    0.5352112203836441,
    0.5402573347091675,
    0.5707366168498993,
    0.5759409219026566,
    0.5463013499975204,
    0.5109681487083435,
    0.4627232253551483,
    0.43528643250465393,
    0.40563298761844635,
    0.3686787933111191,
    0.3523259609937668,
    0.3550732582807541,
    0.4198789894580841,
    0.5017253011465073,
    0.592794880270958,
    0.6253334432840347,
    0.5788823664188385,
    0.5346724092960358,
    0.5062785893678665,
    0.490753173828125,
    0.44008636474609375,
    0.3929539769887924,
    0.35623128712177277,
    0.3615584224462509,
    0.39023226499557495,
    0.43331529200077057,
    0.49478963017463684,
    0.5187637656927109,
    0.5419321060180664,
    0.5809386223554611,
    0.6087740659713745,
    0.5822345316410065,
    0.5372025966644287,
    0.4922846853733063,
    0.47821344435214996,
    0.4513031393289566,
    0.379402220249176,
    0.3132489174604416,
    0.2659008204936981,
    0.26156315207481384,
    0.2823698818683624,
    0.2995253652334213,
    0.282753124833107,
    0.2574820816516876,
    0.28979460895061493,
    0.3008717894554138,
    0.2856006622314453,
    0.2879503220319748,
    0.31693950295448303,
    0.3464863896369934,
    0.3975439816713333,
    0.46434199810028076,
    0.5015333443880081,
    0.5285389125347137,
    0.5720342546701431,
    0.5915564894676208,
    0.5720929503440857,
    0.5548082739114761,
    0.5377525091171265,
    0.5125862658023834,
    0.47718387842178345,
    0.44300147891044617,
    0.4561365395784378,
    0.4969562739133835,
    0.5660503506660461,
    0.6382560133934021,
    0.7089205682277679,
    0.716457337141037,
    0.6850644797086716,
    0.6207690089941025,
    0.5707778185606003,
    0.4877946525812149,
    0.383366659283638,
    0.3248424679040909,
    0.32065509259700775,
    0.356167197227478,
    0.435908779501915,
    0.5245311707258224,
    0.5857401490211487,
    0.6393613070249557,
    0.6668853908777237,
    0.632963553071022,
    0.5869759172201157,
    0.5588606745004654,
    0.5455015152692795,
    0.5143706947565079,
    0.4851778596639633,
    0.4563281238079071,
    0.4354541748762131,
    0.3997853100299835,
    0.3951788395643234,
    0.3755054473876953,
    0.3930615484714508,
    0.42538444697856903,
    0.44065767526626587,
    0.43971654772758484,
    0.4509679079055786,
    0.43496470153331757,
    0.44952888786792755,
    0.4547087103128433,
    0.49599555134773254,
    0.5564335733652115,
    0.59651118516922,
    0.604797899723053,
    0.608171746134758,
    0.5894579887390137,
    0.5560677647590637,
    0.5188925266265869,
    0.4727262407541275,
    0.43666909635066986
  ],
  "sheet": [
    0.14455509185791016,
    0.10892826318740845,
    0.04987257719039917,
    -0.0018928050994873047,
    -0.02910691499710083,
    -0.001230478286743164,
    0.07709616422653198,
    0.18957588076591492,
    0.30283641815185547,
    0.3919532299041748,
    0.41753649711608887,
    0.42421388626098633,
    0.405887633562088,
    0.3441740572452545,
    0.2481868863105774,
    0.1515202820301056,
    0.050942569971084595,
    -0.02879062294960022,
    -0.026389628648757935,
    -0.006459295749664307,
    0.025057047605514526,
    0.02255043387413025,
    -0.018779277801513672,
    -0.01970861852169037,
    0.03830568492412567,
    0.07382412254810333,
    0.17794476449489594,
    0.23259706795215607,
    0.2190081626176834,
    0.22828562557697296,
    0.26045119762420654,
    0.28670407831668854,
    0.2736257165670395,
    0.22519183158874512,
    0.1423957347869873,
    0.08226197957992554,
    0.03814181685447693,
    0.09506793320178986,
    0.1921798139810562,
    0.27005936205387115,
    0.3145627826452255,
    0.35751973092556,
    0.37834498286247253,
    0.3449683338403702,
    0.2874831408262253,
    0.23367580771446228,
    0.21420058608055115,
    0.23693042993545532,
    0.2835390120744705,
    0.35084424912929535,
    0.3661484569311142,
    0.3495258241891861,
    0.30375953018665314,
    0.26003551483154297,
    0.25266213715076447,
    0.2850697189569473,
    0.2536533623933792,
    0.20284120738506317,
    0.15698027610778809,
    0.19242030382156372,
    0.19524940848350525,
    0.24218256771564484,
    0.30509673058986664,
    0.33210518956184387,
    0.34129248559474945,
    0.30195701122283936,
    0.2668059915304184,
    0.21359290182590485,
    0.14765030145645142,
    0.14949838817119598,
    0.20302066206932068,
    0.22685179114341736,
    0.23550640046596527,
    0.2766418308019638,
    0.2943136692047119,
    0.3294268697500229,
    0.37292031943798065,
    0.3525160402059555,
    0.2732864320278168,
    0.17454688251018524,
    0.09385450184345245,
    0.028700485825538635,
    0.04284973442554474,
    0.08843062818050385,
    0.16355440020561218,
    0.2101408839225769,
    0.22311824560165405,
    0.26982051134109497,
    0.3539876490831375,
    0.45005330443382263,
    0.47395484149456024,
    0.4241175651550293,
    0.344588965177536,
    0.23967771232128143,
    0.1287936270236969,
    0.05958540737628937,
    0.03712141513824463,
    0.031523630023002625,
    0.054112955927848816,
    0.09002773463726044,
    0.11961744725704193,
    0.1744912713766098,
    0.21320483088493347,
    0.2645283490419388,
    0.23567965626716614,
    0.2184281200170517,
    0.2108391672372818,
    0.20858219265937805,
    0.22024334967136383,
    0.22850441932678223,
    0.20920218527317047,
    0.17737187445163727,
    0.163859024643898,
    0.1643233299255371,
    0.23180274665355682,
    0.26617594063282013,
    0.297307625412941,
    0.3341282457113266,
    0.3312339037656784,
    0.3141212910413742,
    0.27234476804733276,
    0.20885597169399261,
    0.16802731156349182,
    0.15679238736629486,
    0.16174112260341644,
    0.2218467742204666,
    0.2778458297252655,
    0.34944985806941986,
    0.3963988572359085,
    0.4174663871526718,
    0.46396395564079285,
    0.502913236618042,
    0.4888218641281128,
    0.38969115912914276,
    0.2637559175491333,
    0.13688795268535614,
    0.08573257923126221,
    0.06550352275371552,
    0.09940595924854279,
    0.11799131333827972,
    0.11083574593067169,
    0.13076648116111755,
    0.14782123267650604,
    0.15833136439323425,
    0.15739968419075012,
    0.1549954116344452,
    0.14711500704288483,
    0.1253921240568161,
    0.12250486016273499,
    0.09203936159610748,
    0.13240909576416016,
    0.1746368259191513,
    0.22303754091262817,
    0.2643700987100601,
    0.2869819700717926,
    0.31246741116046906,
    0.33424900472164154,
    0.3213677555322647,
    0.27748656272888184,
    0.18646693229675293,
    0.14166609942913055,
    0.11439494788646698,
    0.10388465225696564,
    0.07432030141353607,
    0.10810701549053192,
    0.13247939944267273,
    0.18311382830142975,
    0.21866630017757416,
    0.28949904441833496,
    0.3500233441591263,
    0.3984259217977524,
    0.44603677093982697,
    0.3770470917224884,
    0.23998337984085083,
    0.08217647671699524,
    0.021341070532798767,
    0.0399370938539505,
    0.13668228685855865,
    0.2615334838628769,
    0.34647034108638763,
    0.4206097573041916,
    0.4575129896402359,
    0.4509035497903824,
    0.4291349798440933,
    0.37719787657260895,
    0.32011307775974274,
    0.21361319720745087,
    0.14657609164714813,
    0.09871469438076019,
    0.05741417407989502,
    0.08154882490634918,
    0.15796764194965363,
    0.22670967876911163,
    0.3154369741678238,
    0.3806332051753998,
    0.3946849852800369,
    0.39964552223682404,
    0.3711872696876526,
    0.3530656397342682,
    0.2898365706205368,
    0.2314274162054062,
    0.16392742097377777,
    0.11034762859344482,
    0.06101889908313751,
    0.030336618423461914,
    0.06927821040153503,
    0.0975877195596695,
    0.08620788156986237,
    0.045631617307662964,
    0.04809756577014923,
    0.05603228509426117,
    0.0666082352399826,
    0.030466154217720032,
    0.03742063045501709,
    0.04325123131275177,
    0.08932934701442719,
    0.12033586204051971,
    0.1272268146276474,
    0.14351323246955872,
    0.11437022686004639,
    0.10965673625469208,
    0.09409236907958984,
    0.10656818747520447,
    0.09304271638393402,
    0.0834774523973465,
    0.06410261988639832,
    0.08990217745304108,
    0.12673163414001465,
    0.15587788820266724,
    0.14461754262447357,
    0.17644454538822174,
    0.19974251091480255,
    0.19277508556842804,
    0.16891108453273773,
    0.15096451342105865,
    0.15745662152767181,
    0.1332767754793167,
    0.11439554393291473,
    0.13763989508152008,
    0.15995106101036072,
    0.2205580621957779,
    0.2937333732843399,
    0.33222414553165436,
    0.3326840102672577,
    0.3056569844484329,
    0.24320608377456665,
    0.1623525470495224,
    0.11377246677875519,
    0.12769891321659088,
    0.21915099024772644,
    0.360925629734993,
    0.45072729885578156,
    0.48218168318271637,
    0.424158051609993,
    0.3303263336420059,
    0.2325512021780014,
    0.12207545340061188,
    0.04549151659011841,
    0.0007395744323730469,
    0.025312945246696472,
    0.13915681838989258,
    0.2721155732870102,
    0.4012930691242218,
    0.46641741693019867,
    0.4592680335044861,
    0.4074966609477997,
    0.36099424958229065,
    0.2902684360742569,
    0.2616627514362335,
    0.2909746319055557,
    0.3130190819501877,
    0.2879928648471832,
    0.261764720082283,
    0.21251891553401947,
    0.20295478403568268,
    0.17241385579109192,
    0.19115126132965088,
    0.24923256039619446,
    0.34404589235782623,
    0.41971316933631897,
    0.44918207824230194,
    0.45100222527980804,
    0.4089036285877228,
    0.3782668113708496,
    0.3682037889957428,
    0.37653748691082,
    0.3281603455543518,
    0.2726319581270218,
    0.23850655555725098,
    0.2178000807762146,
    0.19899864494800568,
    0.19351834058761597,
    0.25624510645866394,
    0.34365314245224,
    0.4463468939065933,
    0.49810174107551575,
    0.4750991463661194,
    0.41956454515457153,
    0.3440190553665161,
    0.2439877688884735,
    0.18145860731601715,
    0.16332723200321198,
    0.23044271767139435,
    0.31161031126976013,
    0.3882234990596771,
    0.39559635519981384,
    0.3771210312843323,
    0.36529240012168884,
    0.3567812740802765,
    0.37115567922592163,
    0.31404972076416016,
    0.2545892000198364,
    0.2029067724943161,
    0.1686653345823288,
    0.16555695235729218,
    0.20741933584213257,
    0.2691843807697296,
    0.38443467020988464,
    0.4849371761083603,
    0.5456231385469437,
    0.6108264327049255,
    0.6243542283773422,
    0.6097464114427567,
    0.5752030313014984,
    0.5220511853694916,
    0.45202140510082245,
    0.4064469486474991,
    0.3560738116502762,
    0.3334581255912781,
    0.3171192407608032,
    0.2610670179128647,
    0.1821480244398117,
    0.1379372775554657,
    0.17323419451713562,
    0.27161963284015656,
    0.3465067744255066,
    0.474774569272995,
    0.5713135302066803,
    0.6641495227813721,
    0.7164702415466309,
    0.7184813022613525,
    0.680533692240715,
    0.5689136385917664,
    0.4218704253435135,
    0.29411791265010834,
    0.17066070437431335,
    0.11452125012874603,
    0.12542231380939484,
    0.2215801179409027,
    0.3771897256374359,
    0.47118525207042694,
    0.45858997106552124,
    0.440539225935936,
    0.40663115680217743,
    0.34914620220661163,
    0.29380132257938385,
    0.27127693593502045,
    0.24905812740325928,
    0.2823866903781891,
    0.3074822723865509,
    0.34574367105960846,
    0.3330404460430145,
    0.29952578246593475,
    0.24053040146827698,
    0.22699014842510223,
    0.2088146209716797,
    0.22828280925750732,
    0.3015974462032318,
    0.3475518077611923,
    0.4213886559009552,
    0.4782469868659973,
    0.5644661635160446,
    0.581154391169548,
    0.5802842825651169,
    0.5260380208492279,
    0.4266456067562103,
    0.2961684614419937,
    0.17475305497646332,
    0.06809249520301819,
    0.014327853918075562,
    0.038867875933647156,
    0.12125632166862488,
    0.18683038651943207,
    0.20611260831356049,
    0.23305930197238922,
    0.2610398530960083,
    0.32531754672527313,
    0.3671504557132721,
    0.4409011900424957,
    0.48128442466259,
    0.4958578944206238,
    0.4503959119319916,
    0.3694020211696625,
    0.29996900260448456,
    0.259551465511322,
    0.27546122670173645,
    0.3291851133108139,
    0.3936648517847061,
    0.4145490974187851,
    0.42078797519207,
    0.37475454807281494,
    0.27872367203235626,
    0.21219313144683838,
    0.14588294923305511,
    0.12452216446399689,
    0.15025277435779572,
    0.23846431076526642,
    0.35263054072856903,
    0.4118878096342087,
    0.44589462876319885,
    0.44786520302295685,
    0.4679424464702606,
    0.4577757567167282,
    0.41911761462688446,
    0.3260226547718048,
    0.19017797708511353,
    0.0925615131855011,
    -0.003918096423149109,
    -0.006986603140830994,
    0.008256852626800537,
    0.060361459851264954,
    0.14715328812599182,
    0.2461692839860916,
    0.39234599471092224,
    0.4677349179983139,
    0.4928275942802429,
    0.4630802124738693,
    0.3793477267026901,
    0.2374502718448639,
    0.10095693171024323,
    0.02039201557636261,
    0.012796834111213684,
    0.050478219985961914,
    0.09712044894695282,
    0.11443479359149933,
    0.16384463012218475,
    0.1827528178691864,
    0.1910170316696167,
    0.19025109708309174,
    0.21221774816513062,
    0.2713811993598938,
    0.3075934499502182,
    0.38575147092342377,
    0.44974666833877563,
    0.5369918644428253,
    0.5865884870290756,
    0.6160138845443726,
    0.5779723227024078,
    0.47005437314510345,
    0.32221201062202454,
    0.18299050629138947,
    0.06675054132938385,
    0.00800517201423645,
    0.01954694092273712,
    0.08760851621627808,
    0.22364966571331024,
    0.28007330000400543,
    0.30913005769252777,
    0.30644962191581726,
    0.30264319479465485,
    0.29408180713653564,
    0.316666916012764,
    0.37109874188899994,
    0.47146910429000854,
    0.5385284274816513,
    0.5740357339382172,
    0.5842666476964951,
    0.5025852024555206,
    0.38688482344150543,
    0.2622416615486145,
    0.17094798386096954,
    0.17481189966201782,
    0.21858486533164978,
    0.2552725076675415,
    0.2885258048772812,
    0.3847517669200897,
    0.44750721752643585,
    0.5387042164802551,
    0.5761854499578476,
    0.5985651463270187,
    0.5522908866405487,
    0.5001028925180435,
    0.3742421865463257,
    0.27819518744945526,
    0.1668187528848648,
    0.07275703549385071,
    0.013505026698112488,
    0.019469425082206726,
    0.05803455412387848,
    0.1104685515165329,
    0.16535569727420807,
    0.25548866391181946,
    0.3746996521949768,
    0.4446537047624588,
    0.5065129399299622,
    0.5333366990089417,
    0.5296877175569534,
    0.44881972670555115,
    0.34871669113636017,
    0.2734094113111496,
    0.20970776677131653,
    0.1674450784921646,
    0.1675763875246048,
    0.20523174107074738,
    0.26575012505054474,
    0.34400293231010437,
    0.39946869015693665,
    0.4614076167345047,
    0.4565942585468292,
    0.40088729560375214,
    0.33408430218696594,
    0.2559717446565628,
    0.2147718220949173,
    0.30267979204654694,
    0.3607802540063858,
    0.40941886603832245,
    0.4407069683074951,
    0.4699065089225769,
    0.4558882564306259,
    0.43736542761325836,
    0.346395343542099,
    0.25241200625896454,
    0.20730039477348328,
    0.19392766058444977,
    0.19856928288936615,
    0.21755142509937286,
    0.2490355670452118,
    0.2915039211511612,
    0.3096396327018738,
    0.3672915995121002,
    0.37814435362815857,
    0.3992263376712799,
    0.4231024235486984,
    0.39302024245262146,
    0.30428875982761383,
    0.19392558932304382,
    0.08746396005153656,
    0.011267155408859253,
    0.014555633068084717,
    0.10921268165111542,
    0.2557700127363205,
    0.36791636049747467,
    0.4119655340909958,
    0.36640116572380066,
    0.3306899070739746,
    0.2717626094818115,
    0.23242786526679993,
    0.27092093229293823,
    0.36590243875980377,
    0.4544908255338669,
    0.5408331155776978,
    0.6085236072540283,
    0.6447319239377975,
    0.6704887747764587,
    0.6491955667734146,
    0.561765268445015,
    0.4489612877368927,
    0.30443964898586273,
    0.17881129682064056,
    0.12472039461135864,
    0.1737770140171051,
    0.31084343791007996,
    0.4228302985429764,
    0.5063134282827377,
    0.5707710236310959,
    0.5604709684848785,
    0.4964781850576401,
    0.4024135619401932,
    0.31418295204639435,
    0.2977894991636276,
    0.32568061351776123,
    0.38449136912822723,
    0.45282311737537384,
    0.4732089191675186,
    0.43044380843639374,
    0.3666485995054245,
    0.3047062009572983,
    0.2649882733821869,
    0.21244072914123535,
    0.22948886454105377,
    0.26877133548259735,
    0.383118599653244,
    0.4727897197008133,
    0.5531246662139893,
    0.6102098971605301,
    0.6550614386796951,
    0.6420316398143768,
    0.6283455640077591,
    0.5717278867959976,
    0.4813767224550247,
    0.3235866576433182,
    0.13040781021118164,
    0.0262099951505661,
    -0.01832030713558197,
    -0.018986225128173828,
    0.03016822040081024,
    0.10730487108230591,
    0.21138259768486023,
    0.31661607325077057,
    0.3995298594236374,
    0.4863596111536026,
    0.5219290554523468,
    0.5423540771007538,
    0.5117149949073792,
    0.45779751241207123,
    0.40712104737758636,
    0.35055629909038544,
    0.34387388825416565,
    0.34265072643756866,
    0.35072506964206696,
    0.3123199790716171,
    0.27834512293338776,
    0.24875608086585999,
    0.23292283713817596,
    0.24474459886550903,
    0.23799319565296173,
    0.2595243453979492,
    0.2898079752922058,
    0.28279660642147064,
    0.25896577537059784,
    0.2501748353242874,
    0.2401677966117859,
    0.24255096912384033,
    0.234686940908432,
    0.2397078424692154,
    0.20919856429100037,
    0.25782398879528046,
    0.327693372964859,
    0.3842788338661194,
    0.43178750574588776,
    0.4443712383508682,
    0.4174047112464905,
    0.3388921320438385,
    0.23938602209091187,
    0.20337840914726257,
    0.18884894251823425,
    0.32286977767944336,
    0.473496213555336,
    0.5829636007547379,
    0.6279764473438263,
    0.6251543313264847,
    0.5597306191921234,
    0.4577544182538986,
    0.32421909272670746,
    0.23230256140232086,
    0.1888522058725357,
    0.1527673900127411,
    0.1713206022977829,
    0.26012900471687317,
    0.31596270203590393,
    0.36126281321048737,
    0.4038066864013672,
    0.3980061560869217,
    0.38744233548641205,
    0.44302839040756226,
    0.49546979367733,
    0.5336571782827377,
    0.5406935662031174,
    0.49744442105293274,
    0.3790946453809738,
    0.27544860541820526,
    0.22816261649131775,
    0.22191645205020905,
    0.2464051991701126,
    0.22951628267765045,
    0.17492854595184326,
    0.1018807590007782,
    0.11588707566261292,
    0.15756447613239288,
    0.21794265508651733,
    0.29287204146385193,
    0.37551985681056976,
    0.4636738896369934,
    0.5405718386173248,
    0.6001792848110199,
    0.6406210213899612,
    0.653265118598938,
    0.6068812608718872,
    0.504441574215889,
    0.3787692189216614,
    0.26042087376117706,
    0.18175320327281952,
    0.18257924914360046,
    0.24497097730636597,
    0.33127135038375854,
    0.38331903517246246,
    0.41582946479320526,
    0.45330704748630524,
    0.4351107180118561,
    0.41771917045116425,
    0.38482309877872467,
    0.34570924937725067,
    0.38747408986091614,
    0.3822213262319565,
    0.360157772898674,
    0.2685738652944565,
    0.16814975440502167,
    0.10410228371620178,
    0.07985939085483551,
    0.09719502925872803,
    0.14113569259643555,
    0.21726830303668976,
    0.2570684403181076,
    0.3378514349460602,
    0.40358541905879974,
    0.46291619539260864,
    0.4856453388929367,
    0.4698045700788498,
    0.3818926215171814,
    0.296866774559021,
    0.2243182212114334,
    0.1373780518770218,
    0.049913614988327026,
    -0.02792227268218994,
    -0.02196979522705078,
    0.04145506024360657,
    0.16926340758800507,
    0.33517760038375854,
    0.4836045354604721,
    0.5676608085632324,
    0.5988343954086304,
    0.5627628117799759,
    0.48543594777584076,
    0.365201935172081,
    0.2653244435787201,
    0.1972086876630783,
    0.1645585149526596,
    0.1541096717119217,
    0.182092547416687,
    0.24937430024147034,
    0.3114052712917328,
    0.3855987638235092,
    0.4283299297094345,
    0.45017315447330475,
    0.39749500155448914,
    0.3125796467065811,
    0.21310371160507202,
    0.09382264316082001,
    0.014157310128211975,
    0.03871847689151764,
    0.12285847961902618,
    0.3006580024957657,
    0.4559064507484436,
    0.5445103943347931,
    0.5901014059782028,
    0.5565847456455231,
    0.5030334889888763,
    0.4094771444797516,
    0.3040238320827484,
    0.18880288302898407,
    0.07827967405319214,
    0.02050130069255829,
    -0.00686858594417572,
    0.0455830842256546,
    0.12681835889816284,
    0.22615505754947662,
    0.32276201248168945,
    0.4647657126188278,
    0.5697286874055862,
    0.6254584044218063,
    0.5734904855489731,
    0.4929305613040924,
    0.39943596720695496,
    0.2669435441493988,
    0.11596381664276123,
    0.03927873075008392,
    0.025715738534927368,
    0.06992706656455994,
    0.1347230225801468,
    0.19294989109039307,
    0.28369446098804474,
    0.3736741542816162,
    0.4753119945526123,
    0.5565364360809326,
    0.6248854994773865,
    0.6316193491220474,
    0.5881654024124146,
    0.5363097339868546,
    0.4651636332273483,
    0.3829217255115509,
    0.2789636701345444,
    0.2110244333744049,
    0.19555439054965973,
    0.25469429790973663,
    0.35594260692596436,
    0.46398650109767914,
    0.528117224574089,
    0.48252418637275696,
    0.41640737652778625,
    0.38484859466552734,
    0.32023926079273224,
    0.31442929804325104,
    0.36704137921333313,
    0.45347005128860474,
    0.5293420404195786,
    0.5599668920040131,
    0.5546946674585342,
    0.4654485285282135,
    0.3743443936109543,
    0.3020079880952835,
    0.24729149043560028,
    0.25263652205467224,
    0.25973349809646606,
    0.28708605468273163,
    0.3264182060956955,
    0.39215347170829773,
    0.47354426980018616,
    0.5413956791162491,
    0.5621003359556198,
    0.5551685839891434,
    0.48971936106681824,
    0.3819831758737564,
    0.26322947442531586,
    0.14577238261699677,
    0.05815154314041138,
    0.010344207286834717,
    0.006396472454071045,
    0.05598892271518707,
    0.09758900105953217,
    0.14817743003368378,
    0.22511662542819977,
    0.31223905086517334,
    0.44023221731185913,
    0.5380712300539017,
    0.6172583848237991,
    0.6396566778421402,
    0.5993469059467316,
    0.5114872455596924,
    0.41124795377254486,
    0.33104096353054047,
    0.2943900376558304,
    0.29008811712265015,
    0.3342627286911011,
    0.40549279749393463,
    0.46079565584659576,
    0.48707954585552216,
    0.45961323380470276,
    0.3653331995010376,
    0.21994686126708984,
    0.0924464762210846,
    0.04302927851676941,
    0.1257472038269043,
    0.2471439093351364,
    0.33182235062122345,
    0.398490771651268,
    0.4293050616979599,
    0.4087590277194977,
    0.3984731137752533,
    0.3426170200109482,
    0.26819397509098053,
    0.19343699514865875,
    0.13849470019340515,
    0.10834090411663055,
    0.14163167774677277,
    0.23425330221652985,
    0.2913978844881058,
    0.3683948218822479,
    0.42902790009975433,
    0.47830961644649506,
    0.5029466450214386,
    0.4835842400789261,
    0.43590670824050903,
    0.35693757236003876,
    0.24445608258247375,
    0.1506049633026123,
    0.06349879503250122,
    0.06671026349067688,
    0.1351679265499115,
    0.19525587558746338,
    0.2452700436115265,
    0.22633370757102966,
    0.15968358516693115,
    0.1257389783859253,
    0.15248307585716248,
    0.20175102353096008,
    0.2832265943288803,
    0.37546809017658234,
    0.4714614003896713,
    0.5580551773309708,
    0.5897457301616669,
    0.6171214580535889,
    0.5260283350944519,
    0.39803194999694824,
    0.218245729804039,
    0.07337787747383118,
    -0.058594927191734314,
    -0.09535877406597137,
    -0.08361479640007019,
    0.07268358767032623,
    0.2098146378993988,
    0.32750286161899567,
    0.4034219831228256,
    0.4461669772863388,
    0.4209790825843811,
    0.3819339722394943,
    0.32121583819389343,
    0.30864477157592773,
    0.30544811487197876,
    0.3177797496318817,
    0.35262659192085266,
    0.32987168431282043,
    0.2700604945421219,
    0.17720100283622742,
    0.11975432932376862,
    0.07502910494804382,
    0.03827759623527527,
    0.012356504797935486,
    0.03646464645862579,
    0.1451207399368286,
    0.26812489330768585,
    0.40640170872211456,
    0.4994248300790787,
    0.5378921777009964,
    0.5303469598293304,
    0.4378982186317444,
    0.3331384211778641,
    0.24484077095985413,
    0.16162943840026855,
    0.08098351955413818,
    0.028187617659568787,
    0.043290913105010986,
    0.08287079632282257,
    0.08760245144367218,
    0.1495782434940338,
    0.2591131329536438,
    0.43920302391052246,
    0.608230248093605,
    0.7193858474493027,
    0.7154078036546707,
    0.6434554308652878,
    0.5344420373439789,
    0.412066712975502,
    0.30541737377643585,
    0.19724977016448975,
    0.08738426864147186,
    0.04150025546550751,
    0.04739706218242645,
    0.12649299204349518,
    0.25890934467315674,
    0.3810883164405823,
    0.4963899403810501,
    0.5850475132465363,
    0.5852587074041367,
    0.5328079760074615,
    0.4143729656934738,
    0.32905419170856476,
    0.2943620979785919,
    0.34735168516635895,
    0.4391431510448456,
    0.47982582449913025,
    0.48087212443351746,
    0.45985350012779236,
    0.4483672082424164,
    0.41266317665576935,
    0.3684441149234772,
    0.30568698048591614,
    0.2518349587917328,
    0.22755298018455505,
    0.23080286383628845,
    0.2741243839263916,
    0.3368748426437378,
    0.41211050748825073,
    0.4619777202606201,
    0.46674710512161255,
    0.4477169066667557,
    0.4540843367576599,
    0.4846810847520828,
    0.5225850045681,
    0.49864010512828827,
    0.4411466419696808,
    0.3202044516801834,
    0.17811189591884613,
    0.07328511774539948,
    0.06779783964157104,
    0.09924374520778656,
    0.11964090168476105,
    0.15177206695079803,
    0.15075752139091492,
    0.1561426818370819,
    0.1658623367547989,
    0.21028417348861694,
    0.2492571324110031,
    0.3026503771543503,
    0.3756421357393265,
    0.4224862903356552,
    0.47805526852607727,
    0.5265642553567886,
    0.560690313577652,
    0.5305352061986923,
    0.46285758912563324,
    0.3836139142513275,
    0.25476808845996857,
    0.14204515516757965,
    0.0788986086845398,
    0.06668289005756378,
    0.15498381853103638,
    0.17297305166721344,
    0.20860640704631805,
    0.21471741795539856,
    0.20236320793628693,
    0.17068609595298767,
    0.17457525432109833,
    0.20676706731319427,
    0.28008846938610077,
    0.3599562793970108,
    0.40103834867477417,
    0.39990006387233734,
    0.3334324508905411,
    0.21324189007282257,
    0.09179729223251343,
    0.014321640133857727,
    -0.0100022554397583,
    0.01241198182106018,
    0.1136169284582138,
    0.2491440623998642,
    0.4007585644721985,
    0.5028411597013474,
    0.5534297078847885,
    0.5368662327528,
    0.513482004404068,
    0.45213228464126587,
    0.3568631112575531,
    0.20428264141082764,
    0.11321315169334412,
    0.004311084747314453,
    -0.11680936813354492,
    -0.1533651053905487,
    -0.11373358964920044,
    -0.011870920658111572,
    0.05463437736034393,
    0.0922904908657074,
    0.18844017386436462,
    0.32106824219226837,
    0.4207960516214371,
    0.507187083363533,
    0.527436688542366,
    0.5235472619533539,
    0.4420458525419235,
    0.3377412408590317,
    0.17005868256092072,
    0.08819021284580231,
    0.05618530511856079,
    0.05378715693950653,
    0.1264447420835495,
    0.23951362073421478,
    0.3457440882921219,
    0.4145413935184479,
    0.4567243605852127,
    0.4581993520259857,
    0.3869044780731201,
    0.2771398723125458,
    0.14676178991794586,
    0.054082468152046204,
    0.04161818325519562,
    0.09726305305957794,
    0.1409173458814621,
    0.22578340768814087,
    0.30338606238365173,
    0.3557342439889908,
    0.3527592569589615,
    0.37771622836589813,
    0.31200140714645386,
    0.26409944891929626,
    0.2351439893245697,
    0.20133104920387268,
    0.22773171961307526,
    0.2572304606437683,
    0.2640848457813263,
    0.33124983310699463,
    0.42180027067661285,
    0.4925726056098938,
    0.5318306088447571,
    0.5319518446922302,
    0.48609814047813416,
    0.397835835814476,
    0.28287479281425476,
    0.21751835942268372,
    0.16677525639533997,
    0.1597815304994583,
    0.17356230318546295,
    0.18895697593688965,
    0.20094917714595795,
    0.2159792184829712,
    0.22937920689582825,
    0.3022595942020416,
    0.35127776861190796,
    0.45432162284851074,
    0.5589252263307571,
    0.6453167349100113,
    0.6643586903810501,
    0.6129463016986847,
    0.47455453872680664,
    0.3322519510984421,
    0.17039021849632263,
    0.05204145610332489,
    0.04532502591609955,
    0.10268114507198334,
    0.1967037171125412,
    0.2928202152252197,
    0.37529151141643524,
    0.42609967291355133,
    0.43446753919124603,
    0.4199022948741913,
    0.4211262911558151,
    0.4922284930944443,
    0.49259229004383087,
    0.48083947598934174,
    0.3999427258968353,
    0.3513743430376053,
    0.33262816071510315,
    0.35174204409122467,
    0.365854948759079,
    0.34143778681755066,
    0.2991004139184952,
    0.25981467962265015,
    0.2584204822778702,
    0.2554546743631363,
    0.2976214587688446,
    0.35368992388248444,
    0.40463630855083466,
    0.42128635942935944,
    0.4851265698671341,
    0.5419152975082397,
    0.5821716636419296,
    0.6279518008232117,
    0.5978069305419922,
    0.544487789273262,
    0.4223049432039261,
    0.2755383849143982,
    0.20150697231292725,
    0.17106743156909943,
    0.180950328707695,
    0.20389080047607422,
    0.20876984298229218,
    0.2211955487728119,
    0.24460937082767487,
    0.28079721331596375,
    0.315859392285347,
    0.3335123807191849,
    0.37848080694675446,
    0.4222065210342407,
    0.39273951947689056,
    0.323321133852005,
    0.2595902979373932,
    0.1982637196779251,
    0.17573554813861847,
    0.22241631150245667,
    0.31522952020168304,
    0.40682418644428253,
    0.4510148614645004,
    0.41679687798023224,
    0.34382426738739014,
    0.23918285965919495,
    0.1225961297750473,
    0.027463853359222412,
    -0.018970921635627747,
    -0.005983367562294006,
    0.09207943081855774,
    0.1867779642343521,
    0.2787294387817383,
    0.3521490842103958,
    0.36666280031204224,
    0.3173973858356476,
    0.2445220649242401,
    0.1387569159269333,
    0.009065642952919006,
    -0.07029697299003601,
    -0.1055116206407547,
    -0.11335495114326477,
    -0.002186506986618042,
    0.08883644640445709,
    0.16888758540153503,
    0.24481120705604553,
    0.32875022292137146,
    0.3312673568725586,
    0.34956836700439453,
    0.36704491078853607,
    0.3706213980913162,
    0.37684157490730286,
    0.29552990198135376,
    0.21077123284339905,
    0.16285458207130432,
    0.16782982647418976,
    0.21957936882972717,
    0.31105466187000275,
    0.38929663598537445,
    0.4537513554096222,
    0.43535172939300537,
    0.37899109721183777,
    0.36623211205005646,
    0.4087780565023422,
    0.45072437822818756,
    0.4777154177427292,
    0.5216434895992279,
    0.5773415565490723,
    0.610177144408226,
    0.5905901491641998,
    0.5161639153957367,
    0.40446043014526367,
    0.2849223464727402,
    0.2084105759859085,
    0.22458799183368683,
    0.24851562082767487,
    0.2746025621891022,
    0.3377956449985504,
    0.41220010817050934,
    0.49461251497268677,
    0.5403853505849838,
    0.5566351264715195,
    0.5060947835445404,
    0.4134206026792526,
    0.2947385609149933,
    0.1754002422094345,
    0.08588767051696777,
    0.06878551840782166,
    0.09242944419384003,
    0.13329945504665375,
    0.20359674096107483,
    0.27299727499485016,
    0.32141856849193573,
    0.3273935616016388,
    0.3343563675880432,
    0.32214903831481934,
    0.33511748909950256,
    0.3515503406524658,
    0.3627288043498993,
    0.33914192020893097,
    0.3550150841474533,
    0.3488996773958206,
    0.35406970977783203,
    0.3474661558866501,
    0.37795789539813995,
    0.3962317407131195,
    0.41528382897377014,
    0.39592044055461884,
    0.3463817834854126,
    0.2963593751192093,
    0.2158174365758896,
    0.14977264404296875,
    0.20462659001350403,
    0.30984359979629517,
    0.47351279854774475,
    0.6137982755899429,
    0.7084277719259262,
    0.6775880455970764,
    0.5812142789363861,
    0.48396600782871246,
    0.37595006823539734,
    0.2989192605018616,
    0.2605406790971756,
    0.25974735617637634,
    0.31987422704696655,
    0.37980304658412933,
    0.3919363468885422,
    0.37587694823741913,
    0.3701913505792618,
    0.40188589692115784,
    0.4444223493337631,
    0.4805167615413666,
    0.4883383810520172,
    0.4766783118247986,
    0.4500739872455597,
    0.41876277327537537,
    0.41623665392398834,
    0.38931021094322205,
    0.3318410962820053,
    0.27945879101753235,
    0.23845522105693817,
    0.2551313787698746,
    0.3106081932783127,
    0.3775295466184616,
    0.4220041036605835,
    0.4388968348503113,
    0.4836282730102539,
    0.4873276799917221,
    0.4049505442380905,
    0.2754697650671005,
    0.15744160115718842,
    0.07350392639636993,
    0.0632159411907196,
    0.11296875774860382,
    0.2037559598684311,
    0.310893714427948,
    0.37746450304985046,
    0.3891367167234421,
    0.3220755606889725,
    0.24955645203590393,
    0.2288488745689392,
    0.23817120492458344,
    0.30603209137916565,
    0.3583392798900604,
    0.38383202254772186,
    0.37423552572727203,
    0.3529239296913147,
    0.3668801039457321,
    0.3812606632709503,
    0.4152738153934479,
    0.44164322316646576,
    0.49570466578006744,
    0.4548269510269165,
    0.3687227964401245,
    0.2581900656223297,
    0.17068324983119965,
    0.1398540735244751,
    0.20630322396755219,
    0.30046994984149933,
    0.42504823207855225,
    0.4209613502025604,
    0.3864336758852005,
    0.32346923649311066,
    0.26487433910369873,
    0.19286474585533142,
    0.14883199334144592,
    0.14426326751708984,
    0.19979318976402283,
    0.2961992174386978,
    0.41368140280246735,
    0.4854072034358978,
    0.520131453871727,
    0.5254788249731064,
    0.5461668223142624,
    0.48592132329940796,
    0.38919083774089813,
    0.25762027502059937,
    0.14013734459877014,
    0.09947475790977478,
    0.10560192167758942,
    0.11595253646373749,
    0.14168892800807953,
    0.16142451763153076,
    0.17603550851345062,
    0.24528950452804565,
    0.3025715798139572,
    0.3664993494749069,
    0.4248489737510681,
    0.44532422721385956,
    0.4555548131465912,
    0.48086121678352356,
    0.49234798550605774,
    0.4626626521348953,
    0.38523872196674347,
    0.35772936046123505,
    0.30930356681346893,
    0.2718687951564789,
    0.2441224604845047,
    0.31320059299468994,
    0.3694067895412445,
    0.45735667645931244,
    0.5109405964612961,
    0.517928883433342,
    0.5022488683462143,
    0.43105459213256836,
    0.3174547255039215,
    0.2595982104539871,
    0.26184190809726715,
    0.2771359384059906,
    0.28416818380355835,
    0.30815859138965607,
    0.3562335669994354,
    0.39346033334732056,
    0.4233727604150772,
    0.4246172457933426,
    0.4560423344373703,
    0.44864293932914734,
    0.44990481436252594,
    0.41610415279865265,
    0.4204964190721512,
    0.35924363136291504,
    0.30069586634635925,
    0.2572662979364395,
    0.21296079456806183,
    0.1907527893781662,
    0.1793830543756485,
    0.19354377686977386,
    0.27712269127368927,
    0.3792875111103058,
    0.4566281735897064,
    0.48458051681518555,
    0.4662173390388489,
    0.3759368658065796,
    0.2786056697368622,
    0.2323625534772873,
    0.23167362809181213,
    0.27442559599876404,
    0.3544864356517792,
    0.45995883643627167,
    0.49839580059051514,
    0.5061691701412201,
    0.5084001868963242,
    0.4479522705078125,
    0.36834631860256195,
    0.2931731343269348,
    0.25749431550502777,
    0.2653222233057022,
    0.2572592794895172,
    0.2872617393732071,
    0.34758736193180084,
    0.42639338970184326,
    0.45229755342006683,
    0.4322291165590286,
    0.38454900681972504,
    0.31573937833309174,
    0.23815487325191498,
    0.2219163179397583,
    0.24624809622764587,
    0.2961212992668152,
    0.3673933744430542,
    0.39028462767601013,
    0.3822282701730728,
    0.41679832339286804,
    0.4506160169839859,
    0.40789595246315,
    0.3401064872741699,
    0.26737359166145325,
    0.27043065428733826,
    0.34349939227104187,
    0.46808579564094543,
    0.6154371798038483,
    0.6889029443264008,
    0.6907453089952469,
    0.6493863165378571,
    0.5589284747838974,
    0.5190547108650208,
    0.4950561374425888,
    0.4910106509923935,
    0.48921631276607513,
    0.560175895690918,
    0.6434546560049057,
    0.678647831082344,
    0.6357350796461105,
    0.49462150037288666,
    0.35508760809898376,
    0.2782789617776871,
    0.27483056485652924,
    0.31441530585289,
    0.3521970361471176,
    0.37716686725616455,
    0.4320075809955597,
    0.44229400157928467,
    0.48022495210170746,
    0.5161247402429581,
    0.525319293141365,
    0.4987957775592804,
    0.45719262957572937,
    0.3581542819738388,
    0.32478809356689453,
    0.3484937846660614,
    0.3317255675792694,
    0.306530237197876,
    0.30307216942310333,
    0.3657359629869461,
    0.4820004850625992,
    0.541682556271553,
    0.5381188541650772,
    0.4498887062072754,
    0.39693641662597656,
    0.35529962182044983,
    0.3012087941169739,
    0.26970674097537994,
    0.3076793700456619,
    0.3450571298599243,
    0.39204005897045135,
    0.4471510052680969,
    0.48501430451869965,
    0.49640709161758423,
    0.490127295255661,
    0.48566199839115143,
    0.42897413671016693,
    0.38130441308021545,
    0.31438834965229034,
    0.2582382410764694,
    0.22572989761829376,
    0.18502824008464813,
    0.13689491152763367,
    0.09943898022174835,
    0.1572408378124237,
    0.2512563467025757,
    0.3658100515604019,
    0.4413456618785858,
    0.43874141573905945,
    0.3617151528596878,
    0.28213004767894745,
    0.22782696783542633,
    0.1877625584602356,
    0.1790134310722351,
    0.21045014262199402,
    0.21319228410720825,
    0.2334233969449997,
    0.2758527845144272,
    0.29521259665489197,
    0.3606779873371124,
    0.42646047472953796,
    0.4812978059053421,
    0.4687599539756775,
    0.45588545501232147,
    0.4068944454193115,
    0.33597423136234283,
    0.2503415197134018,
    0.24873900413513184,
    0.31037038564682007,
    0.3778705298900604,
    0.44193360209465027,
    0.4591810405254364,
    0.4344634860754013,
    0.37294769287109375,
    0.2910139113664627,
    0.25095614790916443,
    0.23257280886173248,
    0.2447613775730133,
    0.31549447774887085,
    0.388764888048172,
    0.4443720877170563,
    0.496120423078537,
    0.5509984344244003,
    0.5653511434793472,
    0.5361698269844055,
    0.5083213448524475,
    0.457324281334877,
    0.40648336708545685,
    0.34429287910461426,
    0.3221646249294281,
    0.3014623671770096,
    0.2504608482122421,
    0.24550147354602814,
    0.2654905915260315,
    0.35148295760154724,
    0.43699705600738525,
    0.5246544927358627,
    0.5584453791379929,
    0.5891183316707611,
    0.6109543442726135,
    0.6018488705158234,
    0.5618701279163361,
    0.49805596470832825,
    0.41740813851356506,
    0.36080406606197357,
    0.30786551535129547,
    0.2674891799688339,
    0.2824230194091797,
    0.32192106544971466,
    0.4024743288755417,
    0.4428645223379135,
    0.5171643197536469,
    0.5347311943769455,
    0.4756752699613571,
    0.3865512013435364,
    0.2854427993297577,
    0.1765085905790329,
    0.10333345830440521,
    0.10378789901733398,
    0.1649748533964157,
    0.25887130200862885,
    0.3758181184530258,
    0.4840376526117325,
    0.6105043739080429,
    0.6523773372173309,
    0.6889505088329315,
    0.6199924796819687,
    0.4779566824436188,
    0.3174307197332382,
    0.2329450100660324,
    0.2089165598154068,
    0.2532898783683777,
    0.2884680926799774,
    0.3492411971092224,
    0.4515214264392853,
    0.5226791501045227,
    0.5346204489469528,
    0.5052378475666046,
    0.4690931439399719,
    0.41600148379802704,
    0.3710804730653763,
    0.33610549569129944,
    0.3176628053188324,
    0.32260456681251526,
    0.3380335569381714,
    0.37567971646785736,
    0.4304172545671463,
    0.4390227943658829,
    0.38636514544487,
    0.30131469666957855,
    0.25131458044052124,
    0.20694255828857422,
    0.22471685707569122,
    0.209364116191864,
    0.20166775584220886,
    0.24055877327919006,
    0.25838983058929443,
    0.27846284210681915,
    0.279841884970665,
    0.26257432997226715,
    0.27275580167770386,
    0.27559399604797363,
    0.2791045904159546,
    0.29340583086013794,
    0.32650090754032135,
    0.3437495827674866,
    0.37130941450595856,
    0.36239054799079895,
    0.3563605397939682,
    0.38598479330539703,
    0.40764324367046356,
    0.3909713476896286,
    0.3297976702451706,
    0.2947070896625519,
    0.29887354373931885,
    0.2888246923685074,
    0.25567689538002014,
    0.2660232186317444,
    0.3370240181684494,
    0.3345935046672821,
    0.2919279634952545,
    0.24373428523540497,
    0.2326660454273224,
    0.25767141580581665,
    0.33955955505371094,
    0.37776753306388855,
    0.39457836747169495,
    0.4434397965669632,
    0.4325864911079407,
    0.36942073702812195,
    0.33084359765052795,
    0.3288186192512512,
    0.35043013095855713,
    0.3215884119272232,
    0.2723623663187027,
    0.20840586721897125,
    0.19070932269096375,
    0.17135916650295258,
    0.2093270719051361,
    0.24639317393302917,
    0.288300096988678,
    0.31578443944454193,
    0.36191312968730927,
    0.414771169424057,
    0.43216122686862946,
    0.4162434786558151,
    0.31156452000141144,
    0.1937703788280487,
    0.12227095663547516,
    0.13422858715057373,
    0.16332383453845978,
    0.18470695614814758,
    0.21403689682483673,
    0.2697574943304062,
    0.3121994733810425,
    0.34107373654842377,
    0.3552805334329605,
    0.34721970558166504,
    0.31081515550613403,
    0.3143211603164673,
    0.2633359879255295,
    0.24858783185482025,
    0.22910931706428528,
    0.2576899826526642,
    0.27913735806941986,
    0.2858782708644867,
    0.27054160833358765,
    0.2563934475183487,
    0.22560973465442657,
    0.23706801235675812,
    0.2966764122247696,
    0.39453089237213135,
    0.4785288870334625,
    0.4685160368680954,
    0.39786916971206665,
    0.3340408205986023,
    0.3261440247297287,
    0.3363613039255142,
    0.3322058171033859,
    0.36657945811748505,
    0.3834899514913559,
    0.39533959329128265,
    0.43767818808555603,
    0.44983576238155365,
    0.435844361782074,
    0.35497865080833435,
    0.29106949269771576,
    0.25534258782863617,
    0.2545417696237564,
    0.22061611711978912,
    0.19809819757938385,
    0.22049292922019958,
    0.27530616521835327,
    0.3061448335647583,
    0.301016166806221,
    0.2812892347574234,
    0.2395615428686142,
    0.21176649630069733,
    0.20471681654453278,
    0.20291809737682343,
    0.2187499701976776,
    0.2242601215839386,
    0.23401117324829102,
    0.22771050035953522,
    0.26674678921699524,
    0.296503022313118,
    0.37945179641246796,
    0.4475656747817993,
    0.4374595433473587,
    0.4066053330898285,
    0.3412320613861084,
    0.3069327175617218,
    0.30338242650032043,
    0.29918886721134186,
    0.34487466514110565,
    0.4153592884540558,
    0.47019802033901215,
    0.5147113054990768,
    0.5505271852016449,
    0.5114102810621262,
    0.4586554765701294,
    0.39357565343379974,
    0.4085689038038254,
    0.40155550837516785,
    0.4292237460613251,
    0.4053233712911606,
    0.38121283054351807,
    0.375550240278244,
    0.3423171788454056,
    0.3207424432039261,
    0.2713830918073654,
    0.21335847675800323,
    0.2154836505651474,
    0.24184872210025787,
    0.3042551875114441,
    0.39131906628608704,
    0.4110024720430374,
    0.39106686413288116,
    0.3389126807451248,
    0.2466091364622116,
    0.13584069907665253,
    0.04929335415363312,
    0.05918748676776886,
    0.09775049984455109,
    0.1949353814125061,
    0.23941567540168762,
    0.311498761177063,
    0.39259621500968933,
    0.4566955864429474,
    0.46527624130249023,
    0.4650816470384598,
    0.39320653676986694,
    0.33316557109355927,
    0.23715326189994812,
    0.1951979696750641,
    0.24221265316009521,
    0.308465376496315,
    0.40611355006694794,
    0.4608735144138336,
    0.47842666506767273,
    0.4082333445549011,
    0.3085135370492935,
    0.25699278712272644,
    0.2415960282087326,
    0.18314838409423828,
    0.15917262434959412,
    0.18095113337039948,
    0.26512810587882996,
    0.351759597659111,
    0.4092448055744171,
    0.4407935291528702,
    0.4206148386001587,
    0.4089709371328354,
    0.37127192318439484,
    0.351723849773407,
    0.3407495766878128,
    0.33650265634059906,
    0.31251901388168335,
    0.24151882529258728,
    0.1465238779783249,
    0.10185056924819946,
    0.15360257029533386,
    0.2158748358488083,
    0.34576989710330963,
    0.44143444299697876,
    0.5144073665142059,
    0.4967260807752609,
    0.4746972769498825,
    0.4134747385978699,
    0.32685987651348114,
    0.2590806782245636,
    0.18367837369441986,
    0.14687709510326385,
    0.13748100399971008,
    0.11538118124008179,
    0.06420494616031647,
    0.020513176918029785,
    0.06693777441978455,
    0.13796861469745636,
    0.25017474591732025,
    0.36986851692199707,
    0.44781678915023804,
    0.4900345802307129,
    0.46689680218696594,
    0.41111935675144196,
    0.391983300447464,
    0.3474542200565338,
    0.2816425859928131,
    0.24398434162139893,
    0.2207837849855423,
    0.20002403855323792,
    0.1658695936203003,
    0.17363882064819336,
    0.17207808792591095,
    0.2079489678144455,
    0.2268810272216797,
    0.264348566532135,
    0.25008437037467957,
    0.24823056161403656,
    0.2918383479118347,
    0.2978290021419525,
    0.29254233837127686,
    0.33902373909950256,
    0.34923648834228516,
    0.4065368324518204,
    0.5042320489883423,
    0.5845998227596283,
    0.6437093317508698,
    0.6561330258846283,
    0.6318288445472717,
    0.5879902541637421,
    0.49077659845352173,
    0.3913480043411255,
    0.28041309118270874,
    0.21902136504650116,
    0.18431587517261505,
    0.26097413897514343,
    0.3169914335012436,
    0.41503822803497314,
    0.4915500432252884,
    0.5568510591983795,
    0.5485425293445587,
    0.488363653421402,
    0.3988710343837738,
    0.3571307510137558,
    0.3254443109035492,
    0.3628517985343933,
    0.42775508761405945,
    0.4317661076784134,
    0.44857050478458405,
    0.47671766579151154,
    0.5243674963712692,
    0.49476031959056854,
    0.43559835851192474,
    0.36174309253692627,
    0.3361680805683136,
    0.3382224589586258,
    0.3262694329023361,
    0.32458847761154175,
    0.3188397288322449,
    0.3731694221496582,
    0.4275323897600174,
    0.449330136179924,
    0.4017098397016525,
    0.3116087466478348,
    0.20834870636463165,
    0.12290453910827637,
    0.06820011138916016,
    0.12941496074199677,
    0.21400964260101318,
    0.3483823090791702,
    0.45895916223526,
    0.5148511081933975,
    0.5478946268558502,
    0.514048621058464,
    0.45367319881916046,
    0.39309051632881165,
    0.3650095760822296,
    0.35878610610961914,
    0.3505696654319763,
    0.3578987270593643,
    0.32546472549438477,
    0.30099089443683624,
    0.27883072197437286,
    0.295524463057518,
    0.28665003180503845,
    0.29607918858528137,
    0.2836752384901047,
    0.30287566781044006,
    0.2665766626596451,
    0.22329281270503998,
    0.13571424782276154,
    0.11133089661598206,
    0.13831910490989685,
    0.23508696258068085,
    0.3011336177587509,
    0.2878171354532242,
    0.2500516176223755,
    0.23877960443496704,
    0.25525692105293274,
    0.28221453726291656,
    0.2997080087661743,
    0.3049734979867935,
    0.3494008481502533,
    0.38125279545783997,
    0.3951415866613388,
    0.36600200831890106,
    0.2864006757736206,
    0.2586105018854141,
    0.2864416688680649,
    0.34326179325580597,
    0.40399862825870514,
    0.4787377268075943,
    0.47807158529758453,
    0.5113457888364792,
    0.5146912783384323,
    0.48501281440258026,
    0.4098646193742752,
    0.3852095305919647,
    0.3807224929332733,
    0.3519091457128525,
    0.2865658551454544,
    0.2647601366043091,
    0.2409663200378418,
    0.1882721483707428,
    0.17082659900188446,
    0.1667841225862503,
    0.2138204723596573,
    0.30372633039951324,
    0.411184161901474,
    0.5076829791069031,
    0.5079668164253235,
    0.45714229345321655,
    0.3521711528301239,
    0.25507229566574097,
    0.1643138974905014,
    0.14451377093791962,
    0.18414337933063507,
    0.23059482872486115,
    0.3416048586368561,
    0.4673796445131302,
    0.5784695893526077,
    0.5992021262645721,
    0.5096391141414642,
    0.4198674410581589,
    0.3822271078824997,
    0.3152884393930435,
    0.26785147190093994,
    0.2549058347940445,
    0.3023940324783325,
    0.39093443751335144,
    0.41093744337558746,
    0.4027165621519089,
    0.4273682087659836,
    0.4148632735013962,
    0.3977636843919754,
    0.4078945368528366,
    0.3788982331752777,
    0.38194669783115387,
    0.3853834718465805,
    0.38257335126399994,
    0.3661216199398041,
    0.3286988437175751,
    0.3006839007139206,
    0.34855107963085175,
    0.387727826833725,
    0.4365714341402054,
    0.4518226385116577,
    0.43926067650318146,
    0.4244809001684189,
    0.3798897862434387,
    0.33652153611183167,
    0.31621450185775757,
    0.30507586896419525,
    0.33478909730911255,
    0.3754643350839615,
    0.40043890476226807,
    0.442944273352623,
    0.4289332628250122,
    0.3840566575527191,
    0.30654844641685486,
    0.277312695980072,
    0.29691754281520844,
    0.28505660593509674,
    0.26283393800258636,
    0.23392467200756073,
    0.23192104697227478,
    0.20392261445522308,
    0.17893265187740326,
    0.16778725385665894,
    0.1942131668329239,
    0.2288990467786789,
    0.2962573319673538,
    0.31934694945812225,
    0.351080983877182,
    0.3363464027643204,
    0.2865648418664932,
    0.27001121640205383,
    0.2542930394411087,
    0.2723119407892227,
    0.2938305586576462,
    0.34316276013851166,
    0.36214807629585266,
    0.36398687958717346,
    0.2857644855976105,
    0.24397191405296326,
    0.24590592086315155,
    0.26706841588020325,
    0.3289334326982498,
    0.36406128108501434,
    0.3499123156070709,
    0.32574161887168884,
    0.29368777573108673,
    0.3121805191040039,
    0.2777281254529953,
    0.19904009997844696,
    0.15010596811771393,
    0.12567393481731415,
    0.14210918545722961,
    0.18671342730522156,
    0.22264637053012848,
    0.2667836546897888,
    0.2811758518218994,
    0.27727919816970825,
    0.20650219917297363,
    0.15406018495559692,
    0.12560124695301056,
    0.14743246138095856,
    0.16440120339393616,
    0.21175754070281982,
    0.31723617017269135,
    0.36471205949783325,
    0.37962155044078827,
    0.38392339646816254,
    0.40531763434410095,
    0.4207679182291031,
    0.4330853521823883,
    0.47324658930301666,
    0.46998074650764465,
    0.4567490816116333,
    0.43651752173900604,
    0.40932685136795044,
    0.3618664890527725,
    0.30540691316127777,
    0.2793179154396057,
    0.2697944790124893,
    0.25031837821006775,
    0.2729727327823639,
    0.3023219555616379,
    0.3804842531681061,
    0.4364248216152191,
    0.5227634757757187,
    0.5292210429906845,
    0.4787810891866684,
    0.43899907171726227,
    0.47402289509773254,
    0.5561569184064865,
    0.6054840385913849,
    0.6395144015550613,
    0.593124583363533,
    0.4862281382083893,
    0.35874535143375397,
    0.31717349588871,
    0.3106548637151718,
    0.3204365223646164,
    0.29633621871471405,
    0.3023161143064499,
    0.32192182540893555,
    0.3405536264181137,
    0.3744756728410721,
    0.44081243872642517,
    0.44241945445537567,
    0.487824022769928,
    0.4863451272249222,
    0.41630396246910095,
    0.3720840811729431,
    0.3009722828865051,
    0.2345987856388092,
    0.2025325745344162,
    0.25053656101226807,
    0.2964198440313339,
    0.3160783499479294,
    0.344550758600235,
    0.38246406614780426,
    0.41766977310180664,
    0.4252576380968094,
    0.3635524660348892,
    0.2625539004802704,
    0.19843827188014984,
    0.21067899465560913,
    0.2492045760154724,
    0.3194793313741684,
    0.3916517198085785,
    0.4530448168516159,
    0.4941518157720566,
    0.5150140970945358,
    0.49633167684078217,
    0.4360174387693405,
    0.351980596780777,
    0.25349313020706177,
    0.1869267225265503,
    0.15408357977867126,
    0.18827833235263824,
    0.2811386436223984,
    0.3385628014802933,
    0.39027468860149384,
    0.38857342302799225,
    0.33894990384578705,
    0.28201352059841156,
    0.29168133437633514,
    0.2716251313686371,
    0.32251664996147156,
    0.37871019542217255,
    0.4254731088876724,
    0.454529732465744,
    0.47087909281253815,
    0.47855935990810394,
    0.4261006563901901,
    0.37824647128582,
    0.3027809262275696,
    0.23505647480487823,
    0.16151832044124603,
    0.09199470281600952,
    0.04170843958854675,
    0.02724069356918335,
    0.06077954173088074,
    0.09655110538005829,
    0.14014247059822083,
    0.18097402155399323,
    0.1820330172777176,
    0.19481301307678223,
    0.2007056176662445,
    0.23037981986999512,
    0.23260478675365448,
    0.1920444518327713,
    0.1537807583808899,
    0.10834211111068726,
    0.09047769010066986,
    0.16790680587291718,
    0.21653464436531067,
    0.25307027995586395,
    0.31525540351867676,
    0.34953629970550537,
    0.33830101788043976,
    0.3077339380979538,
    0.29096719622612,
    0.24145402014255524,
    0.1725844442844391,
    0.12642565369606018,
    0.14869624376296997,
    0.1316343992948532,
    0.14361180365085602,
    0.1978931576013565,
    0.2793309688568115,
    0.3797110915184021,
    0.4172467142343521,
    0.42168454825878143,
    0.3805335760116577,
    0.3320983350276947,
    0.28861652314662933,
    0.2681308835744858,
    0.2992771118879318,
    0.31592217087745667,
    0.3250088542699814,
    0.3260498046875,
    0.3189929276704788,
    0.3546406775712967,
    0.3721099942922592,
    0.36284947395324707,
    0.3310382515192032,
    0.33863799273967743,
    0.36001233756542206,
    0.35802263021469116,
    0.32202811539173126,
    0.2884882688522339,
    0.25343775749206543,
    0.22336941957473755,
    0.2307949960231781,
    0.22385233640670776,
    0.2224879264831543,
    0.2547588646411896,
    0.24522654712200165,
    0.26733437180519104,
    0.24726466834545135,
    0.22476251423358917,
    0.2098766267299652,
    0.18939022719860077,
    0.14539843797683716,
    0.08845303952693939,
    0.06688043475151062,
    0.08345112204551697,
    0.12833324074745178,
    0.19367653131484985,
    0.2460949867963791,
    0.29668164253234863,
    0.3244387358427048,
    0.29188209772109985,
    0.21346837282180786,
    0.151497945189476,
    0.15702851116657257,
    0.16098134219646454,
    0.19994796812534332,
    0.23280516266822815,
    0.22987279295921326,
    0.17960792779922485,
    0.10873067378997803,
    0.043398693203926086,
    0.02904669940471649,
    0.06226015090942383,
    0.08836831152439117,
    0.1661096215248108,
    0.22068245708942413,
    0.26204192638397217,
    0.31058505177497864,
    0.3253953754901886,
    0.25723451375961304,
    0.1314409077167511,
    0.022400513291358948,
    -0.0329694002866745,
    -0.0314767062664032,
    0.03868727385997772,
    0.11259457468986511,
    0.219854936003685,
    0.3437749594449997,
    0.4044209122657776,
    0.39858707785606384,
    0.3718601316213608,
    0.33505330979824066,
    0.2891942709684372,
    0.23369738459587097,
    0.22489957511425018,
    0.23932881653308868,
    0.26454712450504303,
    0.31502316892147064,
    0.3200059235095978,
    0.33448903262615204,
    0.32622410356998444,
    0.30399785935878754,
    0.2946324497461319,
    0.3450862616300583,
    0.35438013076782227,
    0.37398427724838257,
    0.3936010003089905,
    0.4336698353290558,
    0.44260765612125397,
    0.4481407552957535,
    0.47385120391845703,
    0.4876006245613098,
    0.5231414884328842,
    0.5603603273630142,
    0.5099353194236755,
    0.41054418683052063,
    0.33791378140449524,
    0.3003927767276764,
    0.34245195984840393,
    0.43141134083271027,
    0.5056952387094498,
    0.5175558179616928,
    0.49065081775188446,
    0.4628061503171921,
    0.3919481784105301,
    0.3436003178358078,
    0.33081404864788055,
    0.3259519785642624,
    0.32692208886146545,
    0.30602991580963135,
    0.2878095507621765,
    0.3028973489999771,
    0.33022136986255646,
    0.3755432069301605,
    0.4530985802412033,
    0.47692494094371796,
    0.45909567177295685,
    0.4175838530063629,
    0.3603418618440628,
    0.3603123277425766,
    0.33029502630233765,
    0.30789561569690704,
    0.28549855947494507,
    0.22343890368938446,
    0.23029766976833344,
    0.22099873423576355,
    0.19464804232120514,
    0.16912832856178284,
    0.14880922436714172,
    0.14848104119300842,
    0.19437065720558167,
    0.21268589794635773,
    0.23390477895736694,
    0.27675265073776245,
    0.3044961094856262,
    0.3228835314512253,
    0.267805740237236,
    0.21783991158008575,
    0.1957247108221054,
    0.22296090424060822,
    0.2554311752319336,
    0.26800817251205444,
    0.21246924996376038,
    0.13659556210041046,
    0.06424051523208618,
    0.01273307204246521,
    -0.003839731216430664,
    0.06144168972969055,
    0.1545444279909134,
    0.20978675782680511,
    0.2597501277923584,
    0.295439749956131,
    0.2778949439525604,
    0.2034599632024765,
    0.13278605043888092,
    0.11668194830417633,
    0.15323050320148468,
    0.21151700615882874,
    0.2805750221014023,
    0.2992289811372757,
    0.28870484232902527,
    0.2973736822605133,
    0.2845507264137268,
    0.2745601087808609,
    0.23120926320552826,
    0.2029476910829544,
    0.14655748009681702,
    0.08504003286361694,
    0.09513801336288452,
    0.14367225766181946,
    0.21091222763061523,
    0.2668328434228897,
    0.3138951063156128,
    0.35356226563453674,
    0.3353879898786545,
    0.3230653554201126,
    0.29551054537296295,
    0.28349512815475464,
    0.2684001177549362,
    0.25402913987636566,
    0.2583303153514862,
    0.20932888984680176,
    0.1066189855337143,
    -0.02351619303226471,
    -0.0808681845664978,
    -0.05357259511947632,
    0.03755371272563934,
    0.16865815222263336,
    0.3005254566669464,
    0.40778402984142303,
    0.46446093916893005,
    0.5259100496768951,
    0.5462147891521454,
    0.5463126450777054,
    0.5040559768676758,
    0.45426328480243683,
    0.37248964607715607,
    0.30697594583034515,
    0.22459320724010468,
    0.19502536952495575,
    0.20155464112758636,
    0.2353031486272812,
    0.32557202875614166,
    0.3781510889530182,
    0.36586759984493256,
    0.29206639528274536,
    0.2498273253440857,
    0.2114589363336563,
    0.15161636471748352,
    0.07976026833057404,
    0.04491841793060303,
    0.06476880609989166,
    0.12694625556468964,
    0.23412270843982697,
    0.29103928804397583,
    0.3207748383283615,
    0.2814953774213791,
    0.2512829154729843,
    0.24017325043678284,
    0.23043598234653473,
    0.2736947238445282,
    0.29475346207618713,
    0.29483988881111145,
    0.3067285865545273,
    0.299944132566452,
    0.28409743309020996,
    0.2783462256193161,
    0.3452891707420349,
    0.4307683855295181,
    0.47813862562179565,
    0.48440197110176086,
    0.4659334570169449,
    0.4031711518764496,
    0.26200397312641144,
    0.1904602199792862,
    0.14510376751422882,
    0.14125633239746094,
    0.15791527926921844,
    0.16270095109939575,
    0.1860610991716385,
    0.22026270627975464,
    0.22466473281383514,
    0.2371879667043686,
    0.26418037712574005,
    0.3359455019235611,
    0.3744589239358902,
    0.41931620240211487,
    0.47860293090343475,
    0.49449819326400757,
    0.4897789806127548,
    0.4589582830667496,
    0.4378504753112793,
    0.44072797894477844,
    0.41544200479984283,
    0.4149583876132965,
    0.34944911301136017,
    0.2881159782409668,
    0.22862917184829712,
    0.20235206186771393,
    0.22804664075374603,
    0.28073471784591675,
    0.3482486754655838,
    0.48123799264431,
    0.5372641831636429,
    0.5572042167186737,
    0.5157560110092163,
    0.4661863297224045,
    0.4288542717695236,
    0.44206826388835907,
    0.4563653767108917,
    0.44970254600048065,
    0.4067806601524353,
    0.3352571129798889,
    0.3129638582468033,
    0.2677442729473114,
    0.23616719245910645,
    0.2377791404724121,
    0.2988290339708328,
    0.36168554425239563,
    0.37308692932128906,
    0.3561006933450699,
    0.3293394148349762,
    0.355012983083725,
    0.3961421698331833,
    0.4070027619600296,
    0.41618411242961884,
    0.3863413780927658,
    0.2906349301338196,
    0.2097860723733902,
    0.158241406083107,
    0.20338591933250427,
    0.25860972702503204,
    0.3554551303386688,
    0.3816811293363571,
    0.3858353942632675,
    0.375820517539978,
    0.32908719778060913,
    0.29828670620918274,
    0.2457863986492157,
    0.21573194861412048,
    0.18397875130176544,
    0.174790158867836,
    0.20634855329990387,
    0.29601018130779266,
    0.3948811888694763,
    0.474248930811882,
    0.4711470305919647,
    0.3992311358451843,
    0.31884071230888367,
    0.2600796967744827,
    0.20574824512004852,
    0.15569238364696503,
    0.11699928343296051,
    0.07254040241241455,
    0.09349244832992554,
    0.17799822986125946,
    0.27317874133586884,
    0.38251934945583344,
    0.47368328273296356,
    0.4648946076631546,
    0.46667589247226715,
    0.4739047884941101,
    0.4629199206829071,
    0.43174906075000763,
    0.3914211541414261,
    0.3340468406677246,
    0.2543225735425949,
    0.22123689949512482,
    0.23312097787857056,
    0.2011895477771759,
    0.17686256766319275,
    0.15291370451450348,
    0.12396012246608734,
    0.14512567222118378,
    0.16470496356487274,
    0.20832493901252747,
    0.30622778832912445,
    0.35660260915756226,
    0.40465858578681946,
    0.41204868257045746,
    0.4154781997203827,
    0.40449558198451996,
    0.385341614484787,
    0.3664819896221161,
    0.35865987837314606,
    0.33446918427944183,
    0.2835807800292969,
    0.26534366607666016,
    0.2285011261701584,
    0.1483951359987259,
    0.10354705154895782,
    0.08462758362293243,
    0.10258749127388,
    0.1616591066122055,
    0.16890981793403625,
    0.18751801550388336,
    0.1887732893228531,
    0.17908161878585815,
    0.19467493891716003,
    0.23756654560565948,
    0.29350103437900543,
    0.3371484577655792,
    0.3338439613580704,
    0.3097497820854187,
    0.28009697794914246,
    0.262620285153389,
    0.28435102105140686,
    0.3635732978582382,
    0.4379855841398239,
    0.549751341342926,
    0.6011890769004822,
    0.5983642488718033,
    0.5678688138723373,
    0.5522618442773819,
    0.4254220128059387,
    0.34170597791671753,
    0.2917950600385666,
    0.23983566462993622,
    0.257282555103302,
    0.26345300674438477,
    0.31099027395248413,
    0.3504454791545868,
    0.42221827805042267,
    0.5288256853818893,
    0.6038412600755692,
    0.6201111972332001,
    0.6208049654960632,
    0.5895978808403015,
    0.5511840730905533,
    0.5339639335870743,
    0.5099193453788757,
    0.5231752246618271,
    0.4930307865142822,
    0.4876999706029892,
    0.438190296292305,
    0.3759462237358093,
    0.3561938852071762,
    0.3468659967184067,
    0.32481972873210907,
    0.34812647104263306,
    0.4156540632247925,
    0.4843020588159561,
    0.4696756452322006,
    0.44185584783554077,
    0.4066544473171234,
    0.3825162798166275,
    0.37907928228378296,
    0.4246189147233963,
    0.48367224633693695,
    0.5021118372678757,
    0.5097233802080154,
    0.5244002938270569,
    0.5334219336509705,
    0.5344230234622955,
    0.551021546125412,
    0.5008179098367691,
    0.4742394685745239,
    0.43903616070747375,
    0.3887578696012497,
    0.33038854598999023,
    0.2740032970905304,
    0.31845612823963165,
    0.32887108623981476,
    0.4072893261909485,
    0.5019688904285431,
    0.6178629547357559,
    0.704760879278183,
    0.7532091587781906,
    0.7192724347114563,
    0.6170865595340729,
    0.5209317654371262,
    0.44064149260520935,
    0.4663393348455429,
    0.5268955528736115,
    0.5491467714309692,
    0.5480342209339142,
    0.5286635160446167,
    0.5694010704755783,
    0.5545991808176041,
    0.6020088642835617,
    0.5761047750711441,
    0.5803976356983185,
    0.5658976137638092,
    0.5452259182929993,
    0.511134073138237,
    0.44909659028053284,
    0.3693307489156723,
    0.29964861273765564,
    0.28201818466186523,
    0.3117399513721466,
    0.3472958952188492,
    0.36498354375362396,
    0.39625564217567444,
    0.41836170852184296,
    0.46152380108833313,
    0.5566658526659012,
    0.5928860753774643,
    0.5525160580873489,
    0.4821191281080246,
    0.3864804357290268,
    0.3080032765865326,
    0.3239407241344452,
    0.37007710337638855,
    0.42288996279239655,
    0.46030499041080475,
    0.47205081582069397,
    0.4101763367652893,
    0.3269968330860138,
    0.23737581074237823,
    0.23153583705425262,
    0.22275686264038086,
    0.24974152445793152,
    0.3612271547317505,
    0.502244159579277,
    0.6156769543886185,
    0.6919938623905182,
    0.6942925453186035,
    0.6277310997247696,
    0.5846055895090103,
    0.5491211116313934,
    0.501298800110817,
    0.4626188576221466,
    0.43992169201374054,
    0.41001981496810913,
    0.37804874777793884,
    0.3656857907772064,
    0.33713681995868683,
    0.3299253135919571,
    0.3326898366212845,
    0.3447262942790985,
    0.3218256086111069,
    0.29028943181037903,
    0.29594211280345917,
    0.2861567586660385,
    0.346209853887558,
    0.34356917440891266,
    0.33080242574214935,
    0.32237227261066437,
    0.3278547078371048,
    0.33774952590465546,
    0.3706677109003067,
    0.4569501578807831,
    0.5201620608568192,
    0.5592761337757111,
    0.541387602686882,
    0.4944722205400467,
    0.38381558656692505,
    0.34586264193058014,
    0.317883625626564,
    0.30998846888542175,
    0.3545798808336258,
    0.40367473661899567,
    0.41836054623126984,
    0.4243215173482895,
    0.3737024515867233,
    0.3360785245895386,
    0.30844375491142273,
    0.27080827951431274,
    0.21403053402900696,
    0.21579712629318237,
    0.2399870753288269,
    0.2928445339202881,
    0.3376849293708801,
    0.39328861236572266,
    0.408796027302742,
    0.39237259328365326,
    0.33987171947956085,
    0.25578686594963074,
    0.15696540474891663,
    0.07974378764629364,
    0.07766914367675781,
    0.10429917275905609,
    0.1440832018852234,
    0.21355974674224854,
    0.25504350662231445,
    0.34167584776878357,
    0.399632066488266,
    0.4549805223941803,
    0.4726729840040207,
    0.4547054320573807,
    0.358752116560936,
    0.26972678303718567,
    0.20166133344173431,
    0.16162681579589844,
    0.11435914039611816,
    0.15470287203788757,
    0.22660264372825623,
    0.30384087562561035,
    0.38237346708774567,
    0.49228815734386444,
    0.5359431058168411,
    0.5200992673635483,
    0.4929112493991852,
    0.45826555788517,
    0.40035542845726013,
    0.34400375187397003,
    0.26558050513267517,
    0.1931997537612915,
    0.18056097626686096,
    0.20780816674232483,
    0.2601017653942108,
    0.28216834366321564,
    0.30390287935733795,
    0.32939404249191284,
    0.3241036385297775,
    0.3339200019836426,
    0.3244670033454895,
    0.2769418805837631,
    0.2446517050266266,
    0.2613692730665207,
    0.2840556502342224,
    0.3272419720888138,
    0.3766225278377533,
    0.4061625897884369,
    0.4283842444419861,
    0.36696186661720276,
    0.2916009873151779,
    0.19145475327968597,
    0.125972181558609,
    0.10799659788608551,
    0.13270895183086395,
    0.13807278871536255,
    0.1773122400045395,
    0.25607718527317047,
    0.33990395069122314,
    0.3996570408344269,
    0.3817545175552368,
    0.3706103265285492,
    0.3602204918861389,
    0.30774156749248505,
    0.27740487456321716,
    0.28938916325569153,
    0.3112958073616028,
    0.33455435931682587,
    0.3431715965270996,
    0.3286939859390259,
    0.2798902690410614,
    0.24765664339065552,
    0.23890787363052368,
    0.24180379509925842,
    0.24654366075992584,
    0.2649541050195694,
    0.32581403851509094,
    0.37389880418777466,
    0.3754721134901047,
    0.32175953686237335,
    0.24887192249298096,
    0.16908448934555054,
    0.16342797875404358,
    0.16340377926826477,
    0.18759571015834808,
    0.2486301213502884,
    0.2758026719093323,
    0.2814328223466873,
    0.28862644731998444,
    0.32784728705883026,
    0.36549028754234314,
    0.3949628174304962,
    0.39503854513168335,
    0.30222782492637634,
    0.19313597679138184,
    0.16229915618896484,
    0.19772599637508392,
    0.24704274535179138,
    0.30896082520484924,
    0.3266936242580414,
    0.34836889803409576,
    0.34179940819740295,
    0.35607120394706726,
    0.35973161458969116,
    0.3780231177806854,
    0.3938799500465393,
    0.4054137319326401,
    0.39859408140182495,
    0.3619234710931778,
    0.28237681090831757,
    0.21007561683654785,
    0.16277500987052917,
    0.1644987016916275,
    0.15927888453006744,
    0.14336742460727692,
    0.11170037090778351,
    0.13890066742897034,
    0.19713729619979858,
    0.25790420174598694,
    0.2713512033224106,
    0.25099073350429535,
    0.21508798003196716,
    0.19133755564689636,
    0.20775958895683289,
    0.20058293640613556,
    0.20263920724391937,
    0.16491137444972992,
    0.10604164004325867,
    0.05988866090774536,
    0.07710714638233185,
    0.09347020089626312,
    0.09948214888572693,
    0.07182018458843231,
    0.06289830803871155,
    0.08735021948814392,
    0.13989853858947754,
    0.1869148164987564,
    0.22283679246902466,
    0.22084294259548187,
    0.14650483429431915,
    0.045008569955825806,
    -0.02159792184829712,
    -0.01709236204624176,
    0.007587805390357971,
    0.03860853612422943,
    0.1250070184469223,
    0.1409045159816742,
    0.1729820966720581,
    0.1697266846895218,
    0.19314639270305634,
    0.1959044337272644,
    0.17177528142929077,
    0.13170087337493896,
    0.10027916729450226,
    0.07474610209465027,
    0.04451705515384674,
    0.05263000726699829,
    0.07802383601665497,
    0.13331890106201172,
    0.19530951976776123,
    0.25958316028118134,
    0.2912807762622833,
    0.28178325295448303,
    0.2951699495315552,
    0.2794342488050461,
    0.24588711559772491,
    0.21945111453533173,
    0.15105529129505157,
    0.12349769473075867,
    0.1312696486711502,
    0.21162943542003632,
    0.2818152755498886,
    0.3355189561843872,
    0.3672652095556259,
    0.32268933951854706,
    0.2676655352115631,
    0.19932229816913605,
    0.15371295809745789,
    0.17948052287101746,
    0.241603821516037,
    0.311418741941452,
    0.34338532388210297,
    0.34796014428138733,
    0.3379053920507431,
    0.3431994616985321,
    0.33656492829322815,
    0.2722457945346832,
    0.19930075109004974,
    0.18144041299819946,
    0.19078464806079865,
    0.19583465158939362,
    0.19138647615909576,
    0.24470317363739014,
    0.29949595034122467,
    0.33455319702625275,
    0.296751469373703,
    0.2198917716741562,
    0.14948627352714539,
    0.050419941544532776,
    -0.007112741470336914,
    -0.035062193870544434,
    -0.03976738452911377,
    -0.0852413922548294,
    -0.05383725464344025,
    0.013018175959587097,
    0.09380234777927399,
    0.2064020335674286,
    0.2536114901304245,
    0.30509524047374725,
    0.33481813967227936,
    0.3683829605579376,
    0.3748781830072403,
    0.38561977446079254,
    0.4070693254470825,
    0.40469612181186676,
    0.4182433634996414,
    0.3732919991016388,
    0.32516010105609894,
    0.2666560709476471,
    0.2419181913137436,
    0.18936961889266968,
    0.1329917460680008,
    0.11519160866737366,
    0.11006268858909607,
    0.12953563034534454,
    0.14241240918636322,
    0.17657780647277832,
    0.19073593616485596,
    0.2481168955564499,
    0.3153601139783859,
    0.3363647162914276,
    0.297714501619339,
    0.16476358473300934,
    0.03824058175086975,
    -0.007184088230133057,
    -0.0015353262424468994,
    0.0014402121305465698,
    0.05344484746456146,
    0.10032977163791656,
    0.17814558744430542,
    0.2350769340991974,
    0.29777637124061584,
    0.2753158360719681,
    0.2274075448513031,
    0.151326984167099,
    0.06833921372890472,
    0.05119165778160095,
    0.01977802813053131,
    -0.040549516677856445,
    -0.041144534945487976,
    0.016419440507888794,
    0.11232399940490723,
    0.20690906047821045,
    0.30443690717220306,
    0.3421451896429062,
    0.34943148493766785,
    0.32984669506549835,
    0.32145023345947266,
    0.3233216553926468,
    0.32907694578170776,
    0.34108811616897583,
    0.3200978487730026,
    0.2888098508119583,
    0.25375039875507355,
    0.23017102479934692,
    0.23364050686359406,
    0.2630653530359268,
    0.2890460640192032,
    0.29501719772815704,
    0.2756406217813492,
    0.24053089320659637,
    0.2442837655544281,
    0.21536456048488617,
    0.2072034627199173,
    0.24559953808784485,
    0.2651517689228058,
    0.26424823701381683,
    0.2720061242580414,
    0.2889588177204132,
    0.31070084869861603,
    0.281927227973938,
    0.2382083684206009,
    0.19142380356788635,
    0.17618149518966675,
    0.17180798947811127,
    0.1669427901506424,
    0.1609080284833908,
    0.16538074612617493,
    0.15496501326560974,
    0.1713743805885315,
    0.20605695247650146,
    0.24834391474723816,
    0.2848020941019058,
    0.2756066918373108,
    0.2224757969379425,
    0.16874098777770996,
    0.1143675148487091,
    0.06437815725803375,
    0.07650536298751831,
    0.11137484014034271,
    0.14655980467796326,
    0.22671028971672058,
    0.36907538771629333,
    0.5052160769701004,
    0.5705019533634186,
    0.6131546944379807,
    0.5534558892250061,
    0.4308820515871048,
    0.29225872457027435,
    0.20007120072841644,
    0.12297379970550537,
    0.10729758441448212,
    0.14105664193630219,
    0.17184670269489288,
    0.16881966590881348,
    0.18659956753253937,
    0.2292003184556961,
    0.2734770178794861,
    0.29591459035873413,
    0.33586008846759796,
    0.3859066069126129,
    0.401763916015625,
    0.416628822684288,
    0.3921869397163391,
    0.38631124794483185,
    0.35645101964473724,
    0.3021167069673538,
    0.27190443873405457,
    0.26605819165706635,
    0.2534271478652954,
    0.24991361796855927,
    0.1883281022310257,
    0.11314639449119568,
    0.08195854723453522,
    0.047302573919296265,
    0.019975796341896057,
    0.009862005710601807,
    0.04306371510028839,
    0.08577996492385864,
    0.13165554404258728,
    0.13658407330513
  ],
  "helix": [
    0.08731035143136978,
    -0.06979700177907944,
    -0.13446565717458725,
    -0.1466803178191185,
    -0.08220048993825912,
    0.007148422300815582,
    0.15709320455789566,
    0.2601267471909523,
    0.38176266103982925,
    0.5476991310715675,
    0.6846005097031593,
    0.750265397131443,
    0.7853073254227638,
    0.8204611912369728,
    0.8416781798005104,
    0.8676503375172615,
    0.866442359983921,
    0.8465431304648519,
    0.7929655089974403,
    0.7476825071498752,
    0.6955708814784884,
    0.688770885579288,
    0.6897274209186435,
    0.6405351338908076,
    0.5766359157860279,
    0.5531919943168759,
    0.500861975364387,
    0.4647427685558796,
    0.4379172073677182,
    0.4048502193763852,
    0.3428434329107404,
    0.2852695779874921,
    0.24369771778583527,
    0.19857120513916016,
    0.17371588945388794,
    0.20454221963882446,
    0.2137128710746765,
    0.18095858860760927,
    0.17939719837158918,
    0.2575760930776596,
    0.3591639446094632,
    0.34530600905418396,
    0.30021894443780184,
    0.21605325303971767,
    0.17455334961414337,
    0.17123787105083466,
    0.1548316478729248,
    0.13618114683777094,
    0.17767669074237347,
    0.2343898443505168,
    0.2905148174613714,
    0.31368376687169075,
    0.3112449673935771,
    0.2759741544723511,
    0.2063157856464386,
    0.12115933932363987,
    0.14489357732236385,
    0.1943298578262329,
    0.23345119785517454,
    0.265838161110878,
    0.3365553366020322,
    0.39041843079030514,
    0.37770295422524214,
    0.38185617327690125,
    0.34139487240463495,
    0.3053793851286173,
    0.28260554000735283,
    0.24289874732494354,
    0.23305939510464668,
    0.20423007011413574,
    0.2428688406944275,
    0.2847883254289627,
    0.31345363054424524,
    0.3174057547003031,
    0.31878312211483717,
    0.274193724617362,
    0.23600618541240692,
    0.2474198965355754,
    0.24700779281556606,
    0.21873786859214306,
    0.1648517595604062,
    0.1199153708294034,
    0.04513482470065355,
    0.032933760434389114,
    0.11298397183418274,
    0.23897563479840755,
    0.37392079550772905,
    0.44861386716365814,
    0.46588594280183315,
    0.43087484408169985,
    0.461113765835762,
    0.4751931130886078,
    0.4494233187288046,
    0.4253735151141882,
    0.39112903736531734,
    0.3072035647928715,
    0.3185540996491909,
    0.3754689693450928,
    0.44470416009426117,
    0.4936579167842865,
    0.5337213184684515,
    0.5312671838328242,
    0.5194619195535779,
    0.4901387421414256,
    0.4955216692760587,
    0.4791356725618243,
    0.43211211636662483,
    0.33171882294118404,
    0.25786515045911074,
    0.18010281398892403,
    0.1522534191608429,
    0.18263310752809048,
    0.15656883642077446,
    0.14273707568645477,
    0.17960258107632399,
    0.25745446421206,
    0.3406610041856766,
    0.39796019066125154,
    0.4304758124053478,
    0.3636916782706976,
    0.3020614590495825,
    0.2647295342758298,
    0.2713818456977606,
    0.2964709401130676,
    0.3505187090486288,
    0.3458841983228922,
    0.30715807992964983,
    0.2717607216909528,
    0.2457089452072978,
    0.23831185698509216,
    0.16606043372303247,
    0.08817553520202637,
    0.0457778126001358,
    0.03128851018846035,
    0.03968794643878937,
    0.07982530258595943,
    0.10708185005933046,
    0.09841723833233118,
    0.1508309543132782,
    0.29321503080427647,
    0.4212433993816376,
    0.4617830961942673,
    0.49651033245027065,
    0.48885997105389833,
    0.4864506283774972,
    0.467981219291687,
    0.41277487576007843,
    0.34630728233605623,
    0.2772419909015298,
    0.25907378923147917,
    0.19030155520886183,
    0.1095811016857624,
    0.16301894467324018,
    0.18785731494426727,
    0.1683472841978073,
    0.054482907988131046,
    -0.061018988490104675,
    -0.14919382333755493,
    -0.14323492348194122,
    -0.08619235921651125,
    -0.06447804253548384,
    -0.07899217680096626,
    -0.05156870186328888,
    0.008231942541897297,
    -0.015930965542793274,
    -0.050019145011901855,
    -0.04868754465132952,
    -0.02988179586827755,
    -0.03502548299729824,
    0.022290249355137348,
    0.02130997460335493,
    -0.07064111530780792,
    -0.12483231630176306,
    -0.10047511197626591,
    -0.034559532068669796,
    0.013165551237761974,
    0.07096717040985823,
    0.17747955583035946,
    0.3033714471384883,
    0.4855011012405157,
    0.589413839392364,
    0.6112036313861609,
    0.6326149264350533,
    0.6460720924660563,
    0.6450080275535583,
    0.6464717891067266,
    0.6115670530125499,
    0.5861765602603555,
    0.5243560085073113,
    0.45891252625733614,
    0.4264962403103709,
    0.3840798167511821,
    0.36043599247932434,
    0.34615767002105713,
    0.3922441117465496,
    0.4249180294573307,
    0.4302439894527197,
    0.42105207312852144,
    0.44034977816045284,
    0.4953925358131528,
    0.4928849833086133,
    0.45984059665352106,
    0.3815855234861374,
    0.31280978489667177,
    0.24014907144010067,
    0.142616992816329,
    0.047614455223083496,
    0.0611189603805542,
    0.0731864869594574,
    0.01767677068710327,
    -0.05941520258784294,
    -0.09929789043962955,
    -0.12101928517222404,
    -0.14833614230155945,
    -0.14368620049208403,
    -0.12799252569675446,
    -0.08346412610262632,
    -0.046836914494633675,
    -0.008895277976989746,
    0.03842844069004059,
    0.07638777233660221,
    0.16751877963542938,
    0.30549804866313934,
    0.3671122435480356,
    0.34602546971291304,
    0.3071070574223995,
    0.254715695977211,
    0.24370643123984337,
    0.303034576587379,
    0.35680311545729637,
    0.3801604239270091,
    0.3417576365172863,
    0.3100240854546428,
    0.2451090095564723,
    0.18232760298997164,
    0.09702007751911879,
    0.03220305126160383,
    0.012200581841170788,
    0.011898552067577839,
    0.05803999584168196,
    0.06581236235797405,
    0.13209892809391022,
    0.13392802141606808,
    0.12558381259441376,
    0.11218945682048798,
    0.09944144170731306,
    0.11804626882076263,
    0.17498611472547054,
    0.2743741776794195,
    0.33142344653606415,
    0.3544726576656103,
    0.3859770502895117,
    0.38469749689102173,
    0.3907171431928873,
    0.35298794135451317,
    0.3343428671360016,
    0.29812522791326046,
    0.3042930066585541,
    0.3542439304292202,
    0.38697025645524263,
    0.3955181911587715,
    0.40222142171114683,
    0.4773342637345195,
    0.544231210835278,
    0.5966476676985621,
    0.5707282004877925,
    0.5701802931725979,
    0.5428262902423739,
    0.500046718865633,
    0.4228408932685852,
    0.30880454648286104,
    0.2691605491563678,
    0.2433765809983015,
    0.2937768278643489,
    0.3346234690397978,
    0.39548981469124556,
    0.40528440475463867,
    0.42962487041950226,
    0.4602255765348673,
    0.4837052868679166,
    0.5136968353763223,
    0.4714544164016843,
    0.48455099295824766,
    0.4609989272430539,
    0.41676655132323503,
    0.34084755182266235,
    0.330334541387856,
    0.33364708349108696,
    0.37157649733126163,
    0.38424038980156183,
    0.368280379101634,
    0.33536580204963684,
    0.3155158441513777,
    0.29418119601905346,
    0.24083617143332958,
    0.19258432649075985,
    0.21207650378346443,
    0.20701643452048302,
    0.21972819790244102,
    0.2066953144967556,
    0.1759287165477872,
    0.152112839743495,
    0.08831505477428436,
    0.0725736515596509,
    0.07028318475931883,
    0.12003148812800646,
    0.18460808508098125,
    0.2578528430312872,
    0.31491919979453087,
    0.36418825946748257,
    0.3510930687189102,
    0.3430064432322979,
    0.35471514891833067,
    0.31876235269010067,
    0.31449657771736383,
    0.31088994164019823,
    0.33767440542578697,
    0.3312692791223526,
    0.36331419087946415,
    0.3998360335826874,
    0.3876795619726181,
    0.33059993758797646,
    0.30197588726878166,
    0.24749686755239964,
    0.20519692916423082,
    0.16029038652777672,
    0.08252372220158577,
    0.02381314802914858,
    -0.0475217429921031,
    -0.1208901796489954,
    -0.06114526279270649,
    0.05801890231668949,
    0.11058566719293594,
    0.11940918676555157,
    0.1446248386055231,
    0.2051131995394826,
    0.2209780402481556,
    0.28219977486878633,
    0.324950834736228,
    0.32503874972462654,
    0.312967948615551,
    0.272286131978035,
    0.20716509595513344,
    0.12677076179534197,
    0.06611483916640282,
    0.013972114771604538,
    -0.030957048758864403,
    -0.0033531757071614265,
    -0.005381655879318714,
    0.03225386701524258,
    0.14587440714240074,
    0.25953754782676697,
    0.3016828540712595,
    0.3573094252496958,
    0.39823242649435997,
    0.4735576370730996,
    0.5160496030002832,
    0.5245324559509754,
    0.5273698614910245,
    0.5331517942249775,
    0.507969968020916,
    0.4853154541924596,
    0.482817554846406,
    0.4634787915274501,
    0.412897733040154,
    0.3806612314656377,
    0.35522567853331566,
    0.3277399716898799,
    0.31895505264401436,
    0.3205189509317279,
    0.38259552232921124,
    0.4108429355546832,
    0.415148239582777,
    0.35586115531623363,
    0.30525417253375053,
    0.3081493731588125,
    0.3186876755207777,
    0.28911454044282436,
    0.2606051005423069,
    0.27033679746091366,
    0.25272044353187084,
    0.290805640630424,
    0.3291603373363614,
    0.3763183932751417,
    0.4159707762300968,
    0.4025817811489105,
    0.3969261609017849,
    0.41475593857467175,
    0.4368952251970768,
    0.43016952741891146,
    0.39328582026064396,
    0.33796550426632166,
    0.2825330402702093,
    0.22023068368434906,
    0.19811935350298882,
    0.22699218709021807,
    0.2581136729568243,
    0.3370828153565526,
    0.38948940858244896,
    0.3963984278962016,
    0.3773898193612695,
    0.3189497170969844,
    0.28407077491283417,
    0.2518822131678462,
    0.19822876621037722,
    0.16362096928060055,
    0.15906211361289024,
    0.17888652347028255,
    0.23604180291295052,
    0.3050994323566556,
    0.3681386560201645,
    0.3996144235134125,
    0.4165320545434952,
    0.45052260253578424,
    0.47833257634192705,
    0.5277679897844791,
    0.5782733066007495,
    0.6526664895936847,
    0.6569231795147061,
    0.6762765673920512,
    0.730231149122119,
    0.7193256132304668,
    0.7130840234458447,
    0.6475038975477219,
    0.6200525797903538,
    0.6025942750275135,
    0.54342245683074,
    0.47519651986658573,
    0.39669028483331203,
    0.30850769579410553,
    0.2483048178255558,
    0.17102291155606508,
    0.0867631109431386,
    -0.027940252795815468,
    -0.09865325875580311,
    -0.07076937146484852,
    -0.010827779769897461,
    0.06751668453216553,
    0.12989349476993084,
    0.19865649566054344,
    0.205499361269176,
    0.23291117418557405,
    0.23702544439584017,
    0.27232207730412483,
    0.3018637876957655,
    0.3450215011835098,
    0.33738310914486647,
    0.358019289560616,
    0.3764113439247012,
    0.3447885364294052,
    0.2890098597854376,
    0.26079082768410444,
    0.2261539725586772,
    0.20290164649486542,
    0.1754310606047511,
    0.1872768746688962,
    0.27115916833281517,
    0.3064730614423752,
    0.29057743586599827,
    0.2818765193223953,
    0.2991653326898813,
    0.3099798299372196,
    0.29502813145518303,
    0.26146422419697046,
    0.2659130375832319,
    0.25734682753682137,
    0.23071804456412792,
    0.24474429804831743,
    0.2544142883270979,
    0.3033709255978465,
    0.29955242294818163,
    0.2940076170489192,
    0.28966885432600975,
    0.26808108668774366,
    0.2953474326059222,
    0.3433521194383502,
    0.3960921876132488,
    0.41880869679152966,
    0.4502099556848407,
    0.4179697958752513,
    0.391864787787199,
    0.3919760622084141,
    0.38273579254746437,
    0.35751695465296507,
    0.33622923865914345,
    0.38253629487007856,
    0.3998585622757673,
    0.408363220281899,
    0.3808358646929264,
    0.37760286033153534,
    0.3860627608373761,
    0.4414964644238353,
    0.4458302203565836,
    0.44972264766693115,
    0.4593670703470707,
    0.42910042870789766,
    0.4095564540475607,
    0.3775070495903492,
    0.31390665005892515,
    0.29320620000362396,
    0.2455850336700678,
    0.23437851388007402,
    0.2440155055373907,
    0.3340627523139119,
    0.35544904600828886,
    0.3925754725933075,
    0.3607793254777789,
    0.3909734068438411,
    0.3948618620634079,
    0.40752771496772766,
    0.4197319755330682,
    0.38811579067260027,
    0.3408331386744976,
    0.26949238404631615,
    0.2751233736053109,
    0.27027613390237093,
    0.291242565959692,
    0.256446897983551,
    0.20105549972504377,
    0.13496286049485207,
    0.19134630262851715,
    0.2470092624425888,
    0.284209962002933,
    0.3093909127637744,
    0.3534724973142147,
    0.4011909859254956,
    0.4669378073886037,
    0.4697086773812771,
    0.48783322144299746,
    0.4492563419044018,
    0.5230125188827515,
    0.5326364049687982,
    0.4855230199173093,
    0.4575536521151662,
    0.3918760158121586,
    0.3318426916375756,
    0.25923684518784285,
    0.16525140684098005,
    0.05851187277585268,
    -0.03311395924538374,
    -0.10197794903069735,
    -0.03673538751900196,
    0.06653015036135912,
    0.11157288029789925,
    0.06871345173567533,
    0.034888215363025665,
    0.05731235072016716,
    0.05680903419852257,
    0.09493537712842226,
    0.12754515931010246,
    0.16374117229133844,
    0.262021504342556,
    0.2803417593240738,
    0.25385510455816984,
    0.22118252236396074,
    0.1809922605752945,
    0.1505986452102661,
    0.07846718095242977,
    0.07461428921669722,
    0.04025407414883375,
    0.0327695207670331,
    0.054863438941538334,
    0.1461683539673686,
    0.18225735053420067,
    0.16888382658362389,
    0.17139947414398193,
    0.18747401610016823,
    0.2579762823879719,
    0.349274929612875,
    0.36555058136582375,
    0.3518338752910495,
    0.34208308532834053,
    0.3829691605642438,
    0.39755105692893267,
    0.4112944044172764,
    0.36675365548580885,
    0.26402091700583696,
    0.16729124169796705,
    0.17082173936069012,
    0.12318392377346754,
    0.07098305318504572,
    0.015455077402293682,
    0.10218006744980812,
    0.1953648291528225,
    0.2571859322488308,
    0.2768652169033885,
    0.31685383152216673,
    0.3153116060420871,
    0.3332862854003906,
    0.32285276986658573,
    0.3025432266294956,
    0.298182581551373,
    0.3107891511172056,
    0.3278398094698787,
    0.3796436972916126,
    0.38832518737763166,
    0.38078727293759584,
    0.4228253811597824,
    0.43018006905913353,
    0.3953966526314616,
    0.353411678224802,
    0.3028038628399372,
    0.2635069312527776,
    0.2585112610831857,
    0.26898167561739683,
    0.23630847036838531,
    0.2533475495874882,
    0.30054080206900835,
    0.30271194875240326,
    0.29171396512538195,
    0.23640186712145805,
    0.17543193697929382,
    0.08504999987781048,
    -0.04382167477160692,
    -0.1442425400018692,
    -0.1929167751222849,
    -0.2024081451818347,
    -0.2322276858612895,
    -0.23263341560959816,
    -0.2679887507110834,
    -0.25465821754187346,
    -0.2346210889518261,
    -0.20616531651467085,
    -0.2058000024408102,
    -0.14717648923397064,
    -0.04814958944916725,
    0.023168930783867836,
    0.056826944462955,
    0.15278174448758364,
    0.18978673219680786,
    0.1813698410987854,
    0.15676821768283844,
    0.11836179718375206,
    0.10327383875846863,
    0.06333954632282257,
    0.08704087417572737,
    0.049622468650341034,
    0.0681445924565196,
    0.15479015093296766,
    0.26075564324855804,
    0.3424275843426585,
    0.39071145094931126,
    0.4136254219338298,
    0.42958287615329027,
    0.40530438255518675,
    0.3656357554718852,
    0.38643438648432493,
    0.39068836998194456,
    0.41282244119793177,
    0.3828596593812108,
    0.3739242134615779,
    0.32255401834845543,
    0.2805548720061779,
    0.22120611369609833,
    0.16643300745636225,
    0.1295601287856698,
    0.12786930240690708,
    0.11279511824250221,
    0.12537571880966425,
    0.06742353737354279,
    0.021272746846079826,
    -0.020978297106921673,
    -0.11923967581242323,
    -0.18903386034071445,
    -0.16281907446682453,
    -0.048703016713261604,
    0.029589463025331497,
    0.02682788483798504,
    0.01621623057872057,
    0.04696446284651756,
    0.08013468608260155,
    0.15758756827563047,
    0.2018815129995346,
    0.2231094427406788,
    0.21341278962790966,
    0.23429353535175323,
    0.20184103026986122,
    0.16094127018004656,
    0.1280861170962453,
    0.07628856599330902,
    -0.02816874161362648,
    -0.05462476331740618,
    -0.0774344326928258,
    -0.04981596302241087,
    0.05007427558302879,
    0.12502827867865562,
    0.13785917684435844,
    0.12533768452703953,
    0.1889548860490322,
    0.31181660667061806,
    0.4365234784781933,
    0.5141085097566247,
    0.5438760314136744,
    0.5219507701694965,
    0.5146352546289563,
    0.4819427104666829,
    0.47900575771927834,
    0.46961167734116316,
    0.45027388352900743,
    0.42589719872921705,
    0.3861615629866719,
    0.3670318899676204,
    0.35706881061196327,
    0.3333217902109027,
    0.36056078411638737,
    0.4256926281377673,
    0.4645487843081355,
    0.4988947156816721,
    0.524799894541502,
    0.5025643538683653,
    0.4749130951240659,
    0.42255390249192715,
    0.3714279280975461,
    0.37199536245316267,
    0.35804381780326366,
    0.35980157274752855,
    0.3238072395324707,
    0.3441796749830246,
    0.3395910896360874,
    0.32703322172164917,
    0.35494905337691307,
    0.3560303561389446,
    0.33119072392582893,
    0.254951779730618,
    0.16828412748873234,
    0.1051964508369565,
    0.054577882401645184,
    0.04918989539146423,
    0.1371133979409933,
    0.25568437296897173,
    0.3397845234721899,
    0.413007196970284,
    0.4099999964237213,
    0.4383806614205241,
    0.4513699375092983,
    0.4485412575304508,
    0.4224659660831094,
    0.3631770107895136,
    0.29214703664183617,
    0.2479689223691821,
    0.22023372817784548,
    0.1719008181244135,
    0.21264582872390747,
    0.30186963081359863,
    0.3957221833989024,
    0.4133466575294733,
    0.3851292785257101,
    0.39927235525101423,
    0.4364179577678442,
    0.42984248232096434,
    0.4290784150362015,
    0.4367300318554044,
    0.4751207195222378,
    0.48823171481490135,
    0.5003464920446277,
    0.4929018970578909,
    0.4518667161464691,
    0.4591718763113022,
    0.41390450298786163,
    0.40564500261098146,
    0.379251123405993,
    0.3158102575689554,
    0.26695618499070406,
    0.20294107496738434,
    0.16527399886399508,
    0.14425148349255323,
    0.1287003504112363,
    0.1419068994000554,
    0.1863451711833477,
    0.24486847966909409,
    0.28822394739836454,
    0.3259332459419966,
    0.33157297503203154,
    0.37952819000929594,
    0.3642151616513729,
    0.3366602249443531,
    0.2720385389402509,
    0.22109733521938324,
    0.17320171371102333,
    0.15399626828730106,
    0.15713323652744293,
    0.15077496692538261,
    0.09279453475028276,
    0.09832653403282166,
    0.06852821446955204,
    0.08679031394422054,
    0.15304290875792503,
    0.21034051198512316,
    0.1913724336773157,
    0.1624450832605362,
    0.13845419604331255,
    0.12357618287205696,
    0.10537176299840212,
    0.062072173692286015,
    0.07411596458405256,
    0.08488317206501961,
    0.11692067421972752,
    0.15177464205771685,
    0.1389053463935852,
    0.13682210724800825,
    0.08459054864943027,
    0.03807912487536669,
    0.06105717085301876,
    0.0938379941508174,
    0.10844351723790169,
    0.12391079496592283,
    0.1828172905370593,
    0.24054789170622826,
    0.2793733440339565,
    0.27986198384314775,
    0.24274636432528496,
    0.2468437645584345,
    0.2695799209177494,
    0.25773830339312553,
    0.25291455164551735,
    0.250016774982214,
    0.2575702350586653,
    0.2767776967957616,
    0.318739777430892,
    0.34216521959751844,
    0.2969953753054142,
    0.32792429625988007,
    0.3590078894048929,
    0.30930275842547417,
    0.29684303794056177,
    0.26214756071567535,
    0.21528921462595463,
    0.15557572711259127,
    0.07917371019721031,
    0.020903319120407104,
    0.03291026037186384,
    0.09871236700564623,
    0.17378040961921215,
    0.16616505105048418,
    0.092612961307168,
    0.027005821466445923,
    -0.02518528886139393,
    0.03519310336560011,
    0.11877010762691498,
    0.15514320693910122,
    0.18222685251384974,
    0.1854307297617197,
    0.21987878903746605,
    0.2707469053566456,
    0.3963569262996316,
    0.46587867569178343,
    0.512258660979569,
    0.5053857294842601,
    0.5398271568119526,
    0.5054381666705012,
    0.48614207934588194,
    0.4981680465862155,
    0.5204163249582052,
    0.5268281856551766,
    0.5213705273345113,
    0.5374131826683879,
    0.5285903783515096,
    0.5421849302947521,
    0.5622286200523376,
    0.5657806638628244,
    0.5271624522283673,
    0.5130225978791714,
    0.4698569569736719,
    0.4647463457658887,
    0.38875720370560884,
    0.28908958844840527,
    0.22590883541852236,
    0.1786760212853551,
    0.1305278204381466,
    0.14321054331958294,
    0.18800343852490187,
    0.19167775940150023,
    0.16517070308327675,
    0.19389283657073975,
    0.2815617583692074,
    0.336919778957963,
    0.47991323936730623,
    0.5946545396000147,
    0.6959506878629327,
    0.712752883322537,
    0.6712223440408707,
    0.636112610809505,
    0.5549944015219808,
    0.4792180387303233,
    0.40276384353637695,
    0.3349683890119195,
    0.3331236569210887,
    0.3209423376247287,
    0.3341044560074806,
    0.4274771772325039,
    0.4594749929383397,
    0.43521841801702976,
    0.42546280659735203,
    0.46038795448839664,
    0.48297805059701204,
    0.5033830236643553,
    0.43109935615211725,
    0.38330790866166353,
    0.3311702171340585,
    0.26543710101395845,
    0.23593067843466997,
    0.23503439128398895,
    0.21316811721771955,
    0.12158727366477251,
    0.03838435094803572,
    0.07791668176651001,
    0.16208662372082472,
    0.2151467902585864,
    0.24453381728380919,
    0.3118988471105695,
    0.36352616641670465,
    0.38056520838290453,
    0.3871307475492358,
    0.332137119024992,
    0.3077982319518924,
    0.28906022012233734,
    0.2264767549932003,
    0.15928489062935114,
    0.13299604784697294,
    0.08239242248237133,
    0.03198802191764116,
    -0.011518463492393494,
    0.029297071509063244,
    0.02897325437515974,
    0.07882792875170708,
    0.13066392578184605,
    0.15164048597216606,
    0.17921356949955225,
    0.16068044770509005,
    0.1039288742467761,
    0.022397343069314957,
    -0.07013681903481483,
    -0.1363530457019806,
    -0.18674091063439846,
    -0.21571880858391523,
    -0.168849790468812,
    -0.12657636683434248,
    -0.10242875292897224,
    -0.09158018231391907,
    -0.037492779083549976,
    -0.004503411240875721,
    0.031808048486709595,
    0.05644959770143032,
    0.0471643703058362,
    0.1018920885398984,
    0.10117974504828453,
    0.13610714115202427,
    0.1924247844144702,
    0.22582073044031858,
    0.27488867938518524,
    0.38230638206005096,
    0.40175158996134996,
    0.3840783955529332,
    0.3430597335100174,
    0.3577979179099202,
    0.3726683259010315,
    0.3534472109749913,
    0.35384475719183683,
    0.37854624912142754,
    0.3955205241218209,
    0.4413581620901823,
    0.4488472966477275,
    0.47007245756685734,
    0.4669911079108715,
    0.49275267124176025,
    0.5171212442219257,
    0.4861951330676675,
    0.49338104389607906,
    0.4659483674913645,
    0.41198408138006926,
    0.342520734295249,
    0.24152249656617641,
    0.19407067168504,
    0.07504890579730272,
    0.01689978502690792,
    -0.01357869990170002,
    0.07875192444771528,
    0.17874707654118538,
    0.21985244750976562,
    0.27125391736626625,
    0.3056659661233425,
    0.36696398537606,
    0.42210948932915926,
    0.48040171060711145,
    0.4829310029745102,
    0.514121194370091,
    0.45950324833393097,
    0.42816491797566414,
    0.39442550856620073,
    0.3580161835998297,
    0.3360898792743683,
    0.2668497674167156,
    0.26920807640999556,
    0.26844234205782413,
    0.23921631556004286,
    0.26884365547448397,
    0.3413570486009121,
    0.39664068818092346,
    0.39868464693427086,
    0.4554644115269184,
    0.5073650758713484,
    0.5756737599149346,
    0.6457812143489718,
    0.6781467981636524,
    0.6578965578228235,
    0.5928207645192742,
    0.5450276182964444,
    0.5093497755005956,
    0.4514930257573724,
    0.3766532717272639,
    0.22857482451945543,
    0.15651610773056746,
    0.14966818690299988,
    0.2149423537775874,
    0.24152616132050753,
    0.2559403283521533,
    0.34622044675052166,
    0.45385732501745224,
    0.501781445927918,
    0.4914620202034712,
    0.38946851063519716,
    0.3180410098284483,
    0.23152703512459993,
    0.12811104487627745,
    0.08744046464562416,
    0.1515254955738783,
    0.19019837491214275,
    0.17758393567055464,
    0.14595504384487867,
    0.22980366926640272,
    0.3290935792028904,
    0.4269085228443146,
    0.46416061744093895,
    0.5042841024696827,
    0.47935115173459053,
    0.4577576667070389,
    0.4406021013855934,
    0.42809821758419275,
    0.42321006022393703,
    0.4174209237098694,
    0.37554540019482374,
    0.3663869919255376,
    0.4004676965996623,
    0.4792453171685338,
    0.5280911903828382,
    0.548405796289444,
    0.5474184779450297,
    0.5430461345240474,
    0.5437592417001724,
    0.537314529530704,
    0.5194548228755593,
    0.457872305996716,
    0.43705668672919273,
    0.43280823063105345,
    0.4846321800723672,
    0.5322265364229679,
    0.5748205464333296,
    0.6059597283601761,
    0.596596491523087,
    0.5953240292146802,
    0.5807631220668554,
    0.5490543069317937,
    0.5703459186479449,
    0.5624491078779101,
    0.5755800856277347,
    0.5560538964346051,
    0.5608661593869328,
    0.5719340788200498,
    0.5486362474039197,
    0.5537398932501674,
    0.5632712095975876,
    0.547280547209084,
    0.53787209559232,
    0.5055569764226675,
    0.4568902850151062,
    0.4103773878887296,
    0.35826538875699043,
    0.3351420294493437,
    0.353315313346684,
    0.41422019619494677,
    0.43678663205355406,
    0.4378932248800993,
    0.43932780995965004,
    0.45621209405362606,
    0.4410994704812765,
    0.46391226164996624,
    0.47963742539286613,
    0.4891834445297718,
    0.47369559574872255,
    0.42846568301320076,
    0.3835011310875416,
    0.28864945005625486,
    0.20156441628932953,
    0.13548446632921696,
    0.03478557989001274,
    -0.05692791938781738,
    -0.10324810165911913,
    -0.045040915720164776,
    0.06865962222218513,
    0.10646244511008263,
    0.1746226903051138,
    0.2484596222639084,
    0.37394862808287144,
    0.46491578593850136,
    0.4951171102002263,
    0.48042711708694696,
    0.4239999698475003,
    0.38740671146661043,
    0.3142043240368366,
    0.27028482872992754,
    0.1961180968210101,
    0.1810964671894908,
    0.14293956477195024,
    0.13642253261059523,
    0.10461075883358717,
    0.06695469003170729,
    0.021440062671899796,
    -0.015544767491519451,
    -0.008829218335449696,
    0.020305496640503407,
    0.05442811083048582,
    0.06381938885897398,
    0.053457737900316715,
    0.05289240647107363,
    0.0167738301679492,
    -0.04610250610858202,
    -0.046516370959579945,
    -0.009699035435914993,
    0.025615263730287552,
    -0.02919294498860836,
    -0.01078061480075121,
    0.029612384736537933,
    0.10048725828528404,
    0.165471944026649,
    0.20864452049136162,
    0.23164392542093992,
    0.2851742533966899,
    0.30933170951902866,
    0.3386075049638748,
    0.32328321412205696,
    0.33020117972046137,
    0.36850108206272125,
    0.35542328748852015,
    0.37279482278972864,
    0.3846392659470439,
    0.44084352254867554,
    0.4894342990592122,
    0.5520331980660558,
    0.6314409552142024,
    0.6015801848843694,
    0.5848959572613239,
    0.529937531799078,
    0.4367973329499364,
    0.4002283923327923,
    0.35436019767075777,
    0.35412474256008863,
    0.35862822458148,
    0.3674986753612757,
    0.4495084835216403,
    0.5046057738363743,
    0.5404514325782657,
    0.5057866871356964,
    0.47704538982361555,
    0.460740951821208,
    0.47963779140263796,
    0.47890586219727993,
    0.4302883939817548,
    0.3877499448135495,
    0.37773454654961824,
    0.36370981205254793,
    0.45112925488501787,
    0.5171000985428691,
    0.5114270448684692,
    0.4755279514938593,
    0.46280257403850555,
    0.4246177803725004,
    0.4088269667699933,
    0.3218337995931506,
    0.26328999269753695,
    0.24331023916602135,
    0.24437554739415646,
    0.20932863373309374,
    0.1838140683248639,
    0.19114738423377275,
    0.21331371646374464,
    0.2687379000708461,
    0.31689547561109066,
    0.34730138164013624,
    0.3976417379453778,
    0.4073838125914335,
    0.3482726365327835,
    0.3488952564075589,
    0.3491132305935025,
    0.36206751875579357,
    0.32738688960671425,
    0.3159204386174679,
    0.31768860295414925,
    0.3268976919353008,
    0.3647838803008199,
    0.4045279622077942,
    0.40381130669265985,
    0.3727099420502782,
    0.3178873769938946,
    0.32348329201340675,
    0.31397361494600773,
    0.34764494001865387,
    0.42563010286539793,
    0.4697402874007821,
    0.5230262670665979,
    0.5540656642988324,
    0.5619775857776403,
    0.5482936687767506,
    0.540876368060708,
    0.5507385144010186,
    0.5861988225951791,
    0.6366160605102777,
    0.6450689556077123,
    0.6322880955412984,
    0.5643962370231748,
    0.5491611110046506,
    0.5683686677366495,
    0.6213685004040599,
    0.665457259863615,
    0.6638764152303338,
    0.6407421324402094,
    0.5808482505381107,
    0.52170773409307,
    0.4663223074749112,
    0.4635752569884062,
    0.4515262274071574,
    0.414374683983624,
    0.41610635444521904,
    0.40274385642260313,
    0.40135676972568035,
    0.31148817390203476,
    0.2385273678228259,
    0.1921807723119855,
    0.23006198927760124,
    0.2995593724772334,
    0.3442695187404752,
    0.40139049757272005,
    0.41616907715797424,
    0.38019700814038515,
    0.35584917198866606,
    0.25778572633862495,
    0.21017838828265667,
    0.17069612443447113,
    0.10902615264058113,
    0.04928559064865112,
    0.08780655264854431,
    0.1174846924841404,
    0.20954013336449862,
    0.26779308542609215,
    0.3510721120983362,
    0.380870396271348,
    0.42335589975118637,
    0.4346058936789632,
    0.43009668309241533,
    0.424809817224741,
    0.41607011388987303,
    0.4311396963894367,
    0.45091293286532164,
    0.4521508989855647,
    0.39526185765862465,
    0.30262872111052275,
    0.2316655395552516,
    0.17226576525717974,
    0.1323713455349207,
    0.07177741546183825,
    0.04274362698197365,
    0.04992563650012016,
    0.08999192342162132,
    0.100830870680511,
    0.022671000100672245,
    0.049694319255650043,
    0.13156964164227247,
    0.2894654907286167,
    0.38502771593630314,
    0.4863139195367694,
    0.5905616544187069,
    0.662081778049469,
    0.6896392749622464,
    0.6732123093679547,
    0.6106850830838084,
    0.5983525067567825,
    0.5482576638460159,
    0.5284013338387012,
    0.46454507671296597,
    0.4007239192724228,
    0.3326537413522601,
    0.3017690284177661,
    0.25009731482714415,
    0.24036290030926466,
    0.244033332914114,
    0.31381514482200146,
    0.3171751471236348,
    0.3120431201532483,
    0.28922086488455534,
    0.2464772742241621,
    0.2362680984660983,
    0.28302203211933374,
    0.32388831302523613,
    0.3749444084241986,
    0.39814587216824293,
    0.44361101649701595,
    0.4368844125419855,
    0.41707703936845064,
    0.4226207481697202,
    0.40518988110125065,
    0.36671861447393894,
    0.3821669081225991,
    0.40319904312491417,
    0.41929597593843937,
    0.42346551548689604,
    0.44030322693288326,
    0.419236708432436,
    0.405055676586926,
    0.3992125866934657,
    0.4039019448682666,
    0.41288524586707354,
    0.40592793840914965,
    0.3880881844088435,
    0.3484953651204705,
    0.32387973461300135,
    0.3107822434976697,
    0.28213620744645596,
    0.27170456759631634,
    0.25641417782753706,
    0.2763292947784066,
    0.2742773424834013,
    0.2736388323828578,
    0.240680780261755,
    0.24693763721734285,
    0.23387198895215988,
    0.28168746922165155,
    0.29644693806767464,
    0.30187415704131126,
    0.24664698913693428,
    0.18585725594311953,
    0.17942612431943417,
    0.19094845186918974,
    0.15710362512618303,
    0.18751315400004387,
    0.170454990118742,
    0.15688008069992065,
    0.12740963976830244,
    0.11139851342886686,
    0.02763455081731081,
    -0.0035956688225269318,
    -0.09816499426960945,
    -0.21608114801347256,
    -0.18603322468698025,
    -0.1206747256219387,
    -0.12761835288256407,
    -0.18442115653306246,
    -0.19450666941702366,
    -0.12265181262046099,
    -0.05430500116199255,
    0.005604011006653309,
    0.09125818591564894,
    0.18660196755081415,
    0.2538631586357951,
    0.2984117269515991,
    0.31869826186448336,
    0.3376552667468786,
    0.3174171010032296,
    0.20529021881520748,
    0.1638153651729226,
    0.11704650800675154,
    0.0971501050516963,
    0.0940074622631073,
    0.09012722503393888,
    0.048106009140610695,
    0.006449028849601746,
    -0.026428508572280407,
    0.002326216548681259,
    0.0027443328872323036,
    0.012337608262896538,
    0.03594687022268772,
    0.061660317704081535,
    0.07126230094581842,
    0.017708552069962025,
    0.005627949722111225,
    -0.049331231974065304,
    -0.06071576848626137,
    0.001766260713338852,
    0.10711218137294054,
    0.1366188107058406,
    0.12299913261085749,
    0.13834451138973236,
    0.12944813072681427,
    0.10816990118473768,
    0.04606251418590546,
    0.04053743742406368,
    0.08785691950470209,
    0.1063826885074377,
    0.14998697862029076,
    0.17044507525861263,
    0.2526754420250654,
    0.2897840440273285,
    0.28482685983181,
    0.3026655279099941,
    0.28209117986261845,
    0.24034588132053614,
    0.22051280550658703,
    0.15996809396892786,
    0.09469814132899046,
    0.11692884378135204,
    0.12038315553218126,
    0.09941482078284025,
    -0.0006399210542440414,
    -0.0682983249425888,
    -0.0838624406605959,
    -0.10647020023316145,
    -0.10517036821693182,
    -0.0851904321461916,
    -0.09843112155795097,
    -0.0004520295187830925,
    0.10747428238391876,
    0.18238266371190548,
    0.23405642434954643,
    0.17705121636390686,
    0.09921610914170742,
    0.012245000340044498,
    -0.05626775324344635,
    -0.07914179284125566,
    -0.08134488761425018,
    -0.15038428828120232,
    -0.21875603403896093,
    -0.3184272274374962,
    -0.27516543585807085,
    -0.15014275908470154,
    -0.06242239475250244,
    -0.03961431048810482,
    -0.0381962051615119,
    0.003007013350725174,
    0.08565342705696821,
    0.17003891337662935,
    0.18928918708115816,
    0.1537060895934701,
    0.15969513356685638,
    0.16060318052768707,
    0.11594633292406797,
    0.08997498173266649,
    0.05584091041237116,
    0.021652568131685257,
    -0.082561238668859,
    -0.018689659424126148,
    0.09819446783512831,
    0.18844014406204224,
    0.2642945181578398,
    0.275526475161314,
    0.2927612792700529,
    0.3120661582797766,
    0.32876125257462263,
    0.3254565857350826,
    0.32186745200306177,
    0.30346211604774,
    0.32410796359181404,
    0.2996628824621439,
    0.31618296541273594,
    0.28945120237767696,
    0.28340454027056694,
    0.29635934066027403,
    0.3561406908556819,
    0.37726575415581465,
    0.4162876410409808,
    0.4344118796288967,
    0.438603843562305,
    0.43864304199814796,
    0.4565963391214609,
    0.5261065466329455,
    0.5754639562219381,
    0.5908349901437759,
    0.5988830225542188,
    0.5481300409883261,
    0.5614252490922809,
    0.552898770198226,
    0.5104045076295733,
    0.4915922852233052,
    0.41979461442679167,
    0.3730300907045603,
    0.32530748937278986,
    0.28702908381819725,
    0.27391981054097414,
    0.27798243798315525,
    0.3210641397163272,
    0.33807022869586945,
    0.3616809491068125,
    0.41871928703039885,
    0.46483798138797283,
    0.48454817198216915,
    0.5033584116026759,
    0.48701927065849304,
    0.4870965229347348,
    0.45173527766019106,
    0.4334676908329129,
    0.49826091155409813,
    0.5187460212036967,
    0.5106989145278931,
    0.48018104396760464,
    0.4541779709979892,
    0.40415101032704115,
    0.34870576672255993,
    0.24574127048254013,
    0.18484145123511553,
    0.1435640873387456,
    0.1113264812156558,
    0.06255631241947412,
    0.03584669530391693,
    0.022770647890865803,
    0.08175191096961498,
    0.10246485564857721,
    0.09623092785477638,
    0.07646836061030626,
    0.09510022215545177,
    0.06278660427778959,
    0.013945061713457108,
    -0.00504805613309145,
    0.021250207908451557,
    0.007963934913277626,
    0.01740382146090269,
    -0.004297424107789993,
    0.026415109634399414,
    0.03863750398159027,
    0.023253751918673515,
    0.06216003932058811,
    0.14119944907724857,
    0.263491490855813,
    0.3359024468809366,
    0.3298907168209553,
    0.3262227326631546,
    0.2751558152958751,
    0.1980007216334343,
    0.10113080218434334,
    0.02942583244293928,
    0.01248009130358696,
    0.039135515689849854,
    0.03960024192929268,
    0.035745080560445786,
    0.049113270826637745,
    0.028560757637023926,
    -0.03435837663710117,
    -0.08930843975394964,
    -0.1474319277331233,
    -0.18549617007374763,
    -0.19372376427054405,
    -0.20371462870389223,
    -0.16625187918543816,
    -0.1067942576482892,
    -0.023195777088403702,
    0.053510379046201706,
    0.07868095021694899,
    0.08927909284830093,
    0.11519469600170851,
    0.15636410098522902,
    0.13525985274463892,
    0.1215827465057373,
    0.12322666961699724,
    0.15179044473916292,
    0.16809749603271484,
    0.16432247031480074,
    0.22345939557999372,
    0.2863765927031636,
    0.3723370134830475,
    0.40928180795162916,
    0.43614527210593224,
    0.42248935997486115,
    0.349583862349391,
    0.2784619852900505,
    0.213441108353436,
    0.15871967375278473,
    0.110938910394907,
    0.13105915859341621,
    0.14707052148878574,
    0.16711505129933357,
    0.19530182797461748,
    0.22783796209841967,
    0.24801164958626032,
    0.2702241512015462,
    0.2358280960470438,
    0.21685648895800114,
    0.15462626982480288,
    0.13041168451309204,
    0.12323150411248207,
    0.17456120811402798,
    0.19224981497973204,
    0.2166157364845276,
    0.2126394286751747,
    0.25095115322619677,
    0.30098408553749323,
    0.30319681763648987,
    0.30055810790508986,
    0.23906179890036583,
    0.22514932975172997,
    0.24852013681083918,
    0.275695338845253,
    0.23787571489810944,
    0.20931340288370848,
    0.11972671747207642,
    -0.02828248403966427,
    -0.17409727443009615,
    -0.2523172851651907,
    -0.17164647579193115,
    -0.12556423619389534,
    -0.12984154373407364,
    -0.004296548664569855,
    0.0608983151614666,
    0.0973728047683835,
    0.11209906358271837,
    0.21461438108235598,
    0.2882613483816385,
    0.3502088487148285,
    0.3907173154875636,
    0.3875763015821576,
    0.37327625323086977,
    0.36895825434476137,
    0.37761223316192627,
    0.298484742641449,
    0.2126024253666401,
    0.2202151594683528,
    0.2525038896128535,
    0.27012707758694887,
    0.23554060142487288,
    0.24516132287681103,
    0.21108501870185137,
    0.17906201910227537,
    0.20200529973953962,
    0.19548508897423744,
    0.24645113665610552,
    0.32683062832802534,
    0.39346850477159023,
    0.4279432250186801,
    0.42072976659983397,
    0.3849392868578434,
    0.304336816072464,
    0.276628659106791,
    0.24801475275307894,
    0.21093410812318325,
    0.13432862143963575,
    0.08417042065411806,
    0.10268059000372887,
    0.18215349689126015,
    0.25752237159758806,
    0.3238230049610138,
    0.3199658617377281,
    0.3479362903162837,
    0.3665548302233219,
    0.3861258001998067,
    0.33852960634976625,
    0.29565347731113434,
    0.24652209877967834,
    0.21867517661303282,
    0.24191600177437067,
    0.2104332447052002,
    0.16789438109844923,
    0.11851388495415449,
    0.0450437068939209,
    -0.0047599878162145615,
    -0.0632308516651392,
    -0.03907889313995838,
    -0.020657092332839966,
    0.014777109958231449,
    0.08349712193012238,
    0.21213091909885406,
    0.261789133772254,
    0.30516581796109676,
    0.2713606683537364,
    0.32867013942450285,
    0.35270522627979517,
    0.39677916187793016,
    0.43043413758277893,
    0.426029434427619,
    0.35093717835843563,
    0.2900644252076745,
    0.32174023520201445,
    0.3018624959513545,
    0.23347753286361694,
    0.14050111174583435,
    0.06963389553129673,
    0.07779932115226984,
    0.04027840867638588,
    0.08157909195870161,
    0.1637588944286108,
    0.24357831571251154,
    0.24246928375214338,
    0.22129030991345644,
    0.16758699342608452,
    0.20222956407815218,
    0.24886940512806177,
    0.27224662713706493,
    0.2821327308192849,
    0.26332475524395704,
    0.20947441924363375,
    0.1843987163156271,
    0.1592858387157321,
    0.16198116540908813,
    0.1616458147764206,
    0.21413855999708176,
    0.23497225623577833,
    0.277767107822001,
    0.32606582157313824,
    0.3228281242772937,
    0.40155281126499176,
    0.4046967374160886,
    0.44529283326119184,
    0.4449025811627507,
    0.4639142183586955,
    0.42567386757582426,
    0.37644508946686983,
    0.3581187082454562,
    0.3881731294095516,
    0.39793720841407776,
    0.4021728914231062,
    0.40983618423342705,
    0.41945356503129005,
    0.4016578234732151,
    0.33409471437335014,
    0.3134806463494897,
    0.25602900609374046,
    0.21457424480468035,
    0.23983569908887148,
    0.2747098980471492,
    0.31670621130615473,
    0.3581949332728982,
    0.43293312285095453,
    0.4470669738948345,
    0.4766142703592777,
    0.48032307904213667,
    0.4282494494691491,
    0.3115772269666195,
    0.21141276229172945,
    0.14572720229625702,
    0.04180194903165102,
    -0.01251992117613554,
    0.08748526405543089,
    0.23276456259191036,
    0.3961121831089258,
    0.4824500288814306,
    0.5964711681008339,
    0.5930551718920469,
    0.6183500560000539,
    0.5677167735993862,
    0.5097903199493885,
    0.4422512101009488,
    0.4064407395198941,
    0.3692163210362196,
    0.34042665362358093,
    0.3155741486698389,
    0.2653011791408062,
    0.2084989994764328,
    0.11977384984493256,
    0.02876040618866682,
    -0.08624196611344814,
    -0.1399904228746891,
    -0.08668670523911715,
    -0.013248780742287636,
    0.1006464110687375,
    0.21227846574038267,
    0.3167629400268197,
    0.3835685746744275,
    0.39602391701191664,
    0.41915309708565474,
    0.3991161696612835,
    0.38069881964474916,
    0.3431691927835345,
    0.2616516901180148,
    0.20757010392844677,
    0.1970747597515583,
    0.17687907442450523,
    0.24349115509539843,
    0.26955546438694,
    0.32800136785954237,
    0.3907451592385769,
    0.49834215361624956,
    0.5329996086657047,
    0.5800160448998213,
    0.6033765636384487,
    0.6087531335651875,
    0.5535791115835309,
    0.5167258577421308,
    0.44019491598010063,
    0.3782719671726227,
    0.30790208745747805,
    0.31860817037522793,
    0.3314790464937687,
    0.415471563115716,
    0.44493040163069963,
    0.44170475006103516,
    0.42906383983790874,
    0.43542465660721064,
    0.45052425283938646,
    0.40135800559073687,
    0.3896789150312543,
    0.3825322734192014,
    0.3466130355373025,
    0.3371139746159315,
    0.35282591450959444,
    0.329860083758831,
    0.3130796430632472,
    0.33760348334908485,
    0.36610954254865646,
    0.3960497062653303,
    0.41875982005149126,
    0.4116421602666378,
    0.42144390754401684,
    0.414814998395741,
    0.3574180230498314,
    0.3347273739054799,
    0.27853955794125795,
    0.19396421685814857,
    0.0969048086553812,
    0.07862516213208437,
    0.13032501377165318,
    0.15026382077485323,
    0.1489446135237813,
    0.12224123999476433,
    0.1825886368751526,
    0.19542874861508608,
    0.20755065698176622,
    0.20705639850348234,
    0.14336790423840284,
    0.08031409233808517,
    0.027810588479042053,
    -0.003096642903983593,
    -0.020154117606580257,
    0.04717989265918732,
    0.12545081973075867,
    0.1927780555561185,
    0.23093188274651766,
    0.2900671539828181,
    0.3152269124984741,
    0.33599064219743013,
    0.3096897844225168,
    0.2592269815504551,
    0.20609295926988125,
    0.1779029630124569,
    0.14883940294384956,
    0.11318555846810341,
    0.09248750284314156,
    0.08523474633693695,
    0.08914172649383545,
    0.08302745223045349,
    0.01016617938876152,
    -0.03283490426838398,
    -0.07974511664360762,
    -0.16770438104867935,
    -0.2021588198840618,
    -0.19549274817109108,
    -0.031636472791433334,
    0.1511999275535345,
    0.2638970073312521,
    0.34199169278144836,
    0.41675138007849455,
    0.4595175739377737,
    0.4559719115495682,
    0.4451610306277871,
    0.4269410418346524,
    0.3953376216813922,
    0.3963932543992996,
    0.3826335556805134,
    0.3867895808070898,
    0.3439701395109296,
    0.2442025989294052,
    0.20120500028133392,
    0.10204573906958103,
    0.006844836287200451,
    -0.0801770742982626,
    -0.09765718597918749,
    -0.17791445180773735,
    -0.1703861802816391,
    -0.15512475930154324,
    -0.13532632123678923,
    -0.09274759609252214,
    -0.05838965903967619,
    -0.07380698341876268,
    -0.06292777974158525,
    -0.0912414938211441,
    -0.08853475283831358,
    -0.131594218313694,
    -0.19915344938635826,
    -0.1581111941486597,
    -0.07444201037287712,
    0.005398117005825043,
    0.07465141732245684,
    0.096708744764328,
    0.1287177810445428,
    0.16059444565325975,
    0.1937238909304142,
    0.21065740007907152,
    0.24537652451545,
    0.25536284130066633,
    0.27137008402496576,
    0.29069981910288334,
    0.3212387077510357,
    0.31284112855792046,
    0.291213589720428,
    0.22800649795681238,
    0.2157484469935298,
    0.1839563874527812,
    0.1557884095236659,
    0.08014295622706413,
    0.04110085032880306,
    0.07199859712272882,
    0.05881219822913408,
    0.03072447795420885,
    0.08437399566173553,
    0.16139809880405664,
    0.2479264121502638,
    0.26992758829146624,
    0.20634564384818077,
    0.22799838706851006,
    0.19426481518894434,
    0.18863509967923164,
    0.22618396673351526,
    0.24699604231864214,
    0.22891723364591599,
    0.19013090431690216,
    0.17965854331851006,
    0.1525822477415204,
    0.10928647220134735,
    0.0032289037480950356,
    -0.013758418150246143,
    -0.07097665872424841,
    -0.1310184709727764,
    -0.13566237967461348,
    -0.16252346336841583,
    -0.16553603019565344,
    -0.1721124378964305,
    -0.05499438475817442,
    -0.0430779280140996,
    -0.057596427388489246,
    -0.05416478123515844,
    -0.057706134393811226,
    -0.08491524774581194,
    -0.1557186646386981,
    -0.19017013907432556,
    -0.16464172303676605,
    -0.15159457828849554,
    -0.15963346883654594,
    -0.15286613442003727,
    -0.12213145568966866,
    -0.06152128893882036,
    0.017881661653518677,
    0.05303729698061943,
    0.09885092359036207,
    0.08460451196879148,
    0.0682389885187149,
    0.0248011015355587,
    0.036881376057863235,
    0.03617504332214594,
    -0.004452856257557869,
    -0.026107667945325375,
    -0.026890665292739868,
    -0.00866216141730547,
    -0.09246974065899849,
    -0.1898905811831355,
    -0.25476402416825294,
    -0.25588037073612213,
    -0.23706552106887102,
    -0.21349981799721718,
    -0.1831769635900855,
    -0.15585786290466785,
    -0.08641203958541155,
    -0.022911436855793,
    0.017792020924389362,
    0.07445706147700548,
    0.08157410193234682,
    0.09274578373879194,
    0.07612155470997095,
    0.071418228559196,
    0.017498617991805077,
    -0.05136735737323761,
    -0.1599845727905631,
    -0.13243171479552984,
    -0.04359324276447296,
    0.019204827956855297,
    0.05054009240120649,
    0.027641404420137405,
    0.04977120552212,
    0.07863569259643555,
    0.15232402365654707,
    0.2224815348163247,
    0.24666148144751787,
    0.26618164870887995,
    0.3182773292064667,
    0.3298269100487232,
    0.40091225132346153,
    0.416267491877079,
    0.4407098889350891,
    0.4690808607265353,
    0.5080928625538945,
    0.5121587095782161,
    0.4700515540316701,
    0.3898019948974252,
    0.35916349571198225,
    0.31460291892290115,
    0.23813177086412907,
    0.209333929233253,
    0.14177493751049042,
    0.130786026827991,
    0.16946797166019678,
    0.13357029389590025,
    0.06331606302410364,
    -0.051909126341342926,
    -0.08596584387123585,
    -0.030532282777130604,
    0.011736731976270676,
    0.02636195346713066,
    0.034748710691928864,
    0.08061862457543612,
    0.14661878813058138,
    0.1985199898481369,
    0.25502053927630186,
    0.27361578959971666,
    0.3222318831831217,
    0.35336452815681696,
    0.3302732901647687,
    0.31214386504143476,
    0.2989832768216729,
    0.26155626494437456,
    0.18075694236904383,
    0.16060563456267118,
    0.07110216002911329,
    0.046544996090233326,
    0.0994473248720169,
    0.09993646666407585,
    0.0992079796269536,
    0.05417321249842644,
    0.09499736689031124,
    0.09820201434195042,
    0.05972473416477442,
    0.06473162490874529,
    0.025275384075939655,
    0.022124558687210083,
    0.014447743073105812,
    0.004541337490081787,
    0.019019569270312786,
    0.08670479152351618,
    0.13245466351509094,
    0.14929185900837183,
    0.14448200911283493,
    0.11277374904602766,
    0.13934068381786346,
    0.18314746394753456,
    0.2325058439746499,
    0.2554740756750107,
    0.2133109476417303,
    0.2476690812036395,
    0.27914752159267664,
    0.2588632283732295,
    0.21984382532536983,
    0.18193276319652796,
    0.08833144325762987,
    0.030428308062255383,
    0.11680735927075148,
    0.23431638907641172,
    0.3142691105604172,
    0.33947540633380413,
    0.3323528505861759,
    0.32262670435011387,
    0.26329740323126316,
    0.21957992482930422,
    0.1539609730243683,
    0.21817796025425196,
    0.29138202778995037,
    0.273589838296175,
    0.22791238222271204,
    0.21088702604174614,
    0.17229393403977156,
    0.10240642726421356,
    0.037415401078760624,
    0.05789502244442701,
    0.06278257817029953,
    -0.01382283866405487,
    -0.046315510757267475,
    -0.07414195127785206,
    -0.09259557723999023,
    -0.08667784929275513,
    -0.048847331665456295,
    -0.0668258061632514,
    -0.08199728932231665,
    -0.05526327807456255,
    0.008225481025874615,
    0.025312865152955055,
    0.06507300585508347,
    0.11499221157282591,
    0.19244450330734253,
    0.19794694613665342,
    0.1768397269770503,
    0.17511196434497833,
    0.17303137481212616,
    0.12556249275803566,
    0.08627751749008894,
    0.06108322832733393,
    -0.02673181612044573,
    -0.043011970818042755,
    0.06909152865409851,
    0.2010788433253765,
    0.22848163917660713,
    0.19576232135295868,
    0.17411169689148664,
    0.14488039910793304,
    0.15353741124272346,
    0.20518246851861477,
    0.26714582461863756,
    0.3352081933990121,
    0.4232361279428005,
    0.5172011852264404,
    0.5694665443152189,
    0.6047293767333031,
    0.645146369934082,
    0.6496249595656991,
    0.6145130889490247,
    0.5663383929058909,
    0.5680661825463176,
    0.5161597114056349,
    0.5036514746025205,
    0.4448552234098315,
    0.382727581076324,
    0.3708042064681649,
    0.35980447567999363,
    0.37037053145468235,
    0.3855696925893426,
    0.4262723736464977,
    0.47231564950197935,
    0.5498139001429081,
    0.546714854426682,
    0.5843208776786923,
    0.5783855821937323,
    0.6686398088932037,
    0.7361795203760266,
    0.7177274702116847,
    0.7051972281187773,
    0.689410574734211,
    0.6578701185062528,
    0.5968497954308987,
    0.4940577205270529,
    0.4279819754883647,
    0.3349417429417372,
    0.2795838061720133,
    0.25772180687636137,
    0.2385042943060398,
    0.16926286835223436,
    0.132955402135849,
    0.12732945382595062,
    0.1149116363376379,
    0.105610191822052,
    0.14110734034329653,
    0.17076774965971708,
    0.19152400363236666,
    0.2488519735634327,
    0.3373511340469122,
    0.438227578997612,
    0.49077265430241823,
    0.5467122849076986,
    0.5656253211200237,
    0.5286484360694885,
    0.4690799359232187,
    0.42802394460886717,
    0.4084311546757817,
    0.38065736927092075,
    0.38373954594135284,
    0.3722149673849344,
    0.38499048817902803,
    0.38166778814047575,
    0.3655151128768921,
    0.40721491258591413,
    0.398493361659348,
    0.3946246989071369,
    0.3966016825288534,
    0.41245231963694096,
    0.4188932925462723,
    0.4241707883775234,
    0.4414879335090518,
    0.48235925007611513,
    0.44147608149796724,
    0.3617629408836365,
    0.3048027427867055,
    0.31280385330319405,
    0.3375618951395154,
    0.32844921480864286,
    0.36751021165400743,
    0.42480787448585033,
    0.4497946761548519,
    0.4392041126266122,
    0.4159949077293277,
    0.41708364617079496,
    0.41792118549346924,
    0.4399018092080951,
    0.42595961410552263,
    0.4359457837417722,
    0.43737101554870605,
    0.48354512453079224,
    0.47507872618734837,
    0.4995924783870578,
    0.49398839194327593,
    0.5324704051017761,
    0.5190326096490026,
    0.5436351103708148,
    0.5597664089873433,
    0.5630649458616972,
    0.6119672628119588,
    0.6343727596104145,
    0.6064263293519616,
    0.5379404546692967,
    0.4889625869691372,
    0.4683072865009308,
    0.4099004380404949,
    0.38919270038604736,
    0.36693570483475924,
    0.3292296873405576,
    0.38194528222084045,
    0.4710710970684886,
    0.569042831659317,
    0.594976956024766,
    0.590336387977004,
    0.5420601963996887,
    0.5043937414884567,
    0.4414207646623254,
    0.436172304674983,
    0.356238286010921,
    0.3166789272800088,
    0.2924178643152118,
    0.31834577582776546,
    0.3421466015279293,
    0.319306967779994,
    0.3312671631574631,
    0.3795345425605774,
    0.36751372553408146,
    0.3520940989255905,
    0.37322359811514616,
    0.3713582204654813,
    0.35131720174103975,
    0.35463341139256954,
    0.32812889479100704,
    0.3462133454158902,
    0.38573004119098186,
    0.41667340695858,
    0.4254130534827709,
    0.4178327126428485,
    0.4571714960038662,
    0.46512998919934034,
    0.459313590079546,
    0.4772130995988846,
    0.4766702260822058,
    0.45581536274403334,
    0.46942663565278053,
    0.5283233430236578,
    0.507863050326705,
    0.5220299307256937,
    0.5260673128068447,
    0.5079168127849698,
    0.44283909164369106,
    0.3943682936951518,
    0.30812231730669737,
    0.27242713049054146,
    0.20146210584789515,
    0.1729969121515751,
    0.1490499321371317,
    0.11933867633342743,
    0.09316252451390028,
    0.13432939816266298,
    0.21143694315105677,
    0.24859555531293154,
    0.2691430598497391,
    0.27941640093922615,
    0.30889825243502855,
    0.3692412981763482,
    0.44071392249315977,
    0.4595949621871114,
    0.3835768327116966,
    0.3424107385799289,
    0.365609067492187,
    0.40492702554911375,
    0.3996255788952112,
    0.41145484149456024,
    0.38852284848690033,
    0.33967421017587185,
    0.33049174025654793,
    0.2990795848891139,
    0.20767714641988277,
    0.18646205496042967,
    0.2530192555859685,
    0.30625619925558567,
    0.29759711120277643,
    0.19564658123999834,
    0.10298090986907482,
    0.051024897024035454,
    0.10395460855215788,
    0.22143629472702742,
    0.2639028038829565,
    0.256480960175395,
    0.25509670842438936,
    0.22950789146125317,
    0.24963144585490227,
    0.28012096509337425,
    0.29610975459218025,
    0.24213802441954613,
    0.201452667824924,
    0.1948574809357524,
    0.15882942080497742,
    0.07411083299666643,
    -0.014204625971615314,
    -0.08786628115922213,
    -0.1286503914743662,
    -0.11191042978316545,
    -0.024225828237831593,
    -0.024835603311657906,
    -0.061545686796307564,
    -0.12102019041776657,
    -0.13456464000046253,
    -0.16030597686767578,
    -0.16599735338240862,
    -0.09512555133551359,
    -0.04907017480581999,
    0.014356007799506187,
    0.10160267632454634,
    0.19485189020633698,
    0.22286611795425415,
    0.20778066478669643,
    0.29593521915376186,
    0.33329653181135654,
    0.31572743691504,
    0.28245199006050825,
    0.24134175013750792,
    0.19298493303358555,
    0.09876053966581821,
    0.09411712549626827,
    0.12896839063614607,
    0.1596236228942871,
    0.18048842530697584,
    0.23818248510360718,
    0.28803797997534275,
    0.32517742924392223,
    0.39134164713323116,
    0.4990533273667097,
    0.5790516287088394,
    0.6066064862534404,
    0.6427217880263925,
    0.6428757272660732,
    0.621696999296546,
    0.5628148224204779,
    0.4828351940959692,
    0.427054425701499,
    0.37998801190406084,
    0.33974056225270033,
    0.31969813723117113,
    0.2739586057141423,
    0.18683646619319916,
    0.2134794294834137,
    0.21650598477572203,
    0.24166525434702635,
    0.1977406144142151,
    0.14986107125878334,
    0.20723192393779755,
    0.28502580989152193,
    0.3399423100054264,
    0.3972159931436181,
    0.41597502026706934,
    0.3998807780444622,
    0.3608906175941229,
    0.317141005769372,
    0.2678004102781415,
    0.24376201629638672,
    0.1801404757425189,
    0.1290110694244504,
    0.10215950477868319,
    0.07132867258042097,
    0.03146435134112835,
    -0.02375904656946659,
    0.01162559911608696,
    0.07258927542716265,
    0.20339156966656446,
    0.2345723034814,
    0.24517305754125118,
    0.28968106769025326,
    0.3215589188039303,
    0.3287788825109601,
    0.3039004411548376,
    0.29491471219807863,
    0.2609241036698222,
    0.20622679311782122,
    0.13811043463647366,
    0.1012438116595149,
    0.12719933781772852,
    0.1347835073247552,
    0.1553192464634776,
    0.2141448799520731,
    0.22653699200600386,
    0.23517144192010164,
    0.2480294592678547,
    0.34102871641516685,
    0.44528024829924107,
    0.5021551596000791,
    0.5185136385262012,
    0.5516067855060101,
    0.5318836085498333,
    0.5355068277567625,
    0.4845917820930481,
    0.4204959273338318,
    0.40963031630963087,
    0.4037126647308469,
    0.3493509767577052,
    0.28268622420728207,
    0.23026231210678816,
    0.19398195017129183,
    0.20315196923911572,
    0.2929446753114462,
    0.3031108109280467,
    0.29297079518437386,
    0.28416738379746675,
    0.2713676430284977,
    0.27291798405349255,
    0.30440644454210997,
    0.2674417048692703,
    0.25416161585599184,
    0.23834772873669863,
    0.22983516566455364,
    0.16217972710728645,
    0.07463411800563335,
    0.014976976439356804,
    -0.02130439318716526,
    -0.02288239262998104,
    0.038590095937252045,
    0.055233496241271496,
    0.1573733277618885,
    0.2396626928821206,
    0.30832715705037117,
    0.3387227160856128,
    0.3355085561051965,
    0.3354948787018657,
    0.3854095162823796,
    0.35032571479678154,
    0.3284715609624982,
    0.262080579996109,
    0.20711557939648628,
    0.19713708758354187,
    0.21278053522109985,
    0.2530477438122034,
    0.30387018620967865,
    0.32069963216781616,
    0.30249823722988367,
    0.24966594204306602,
    0.20238371193408966,
    0.23053218983113766,
    0.2716597318649292,
    0.3349988618865609,
    0.40437510423362255,
    0.49727119971066713,
    0.5248782085254788,
    0.5673711858689785,
    0.5715256538242102,
    0.5895929513499141,
    0.5593744721263647,
    0.5721929762512445,
    0.5519382180646062,
    0.47875357046723366,
    0.40881846845149994,
    0.34659688267856836,
    0.3141530556604266,
    0.31002549920231104,
    0.26746198162436485,
    0.2864783825352788,
    0.2816342357546091,
    0.3676964044570923,
    0.4434554688632488,
    0.45593738090246916,
    0.47526469826698303,
    0.4786018319427967,
    0.5324887977913022,
    0.5709596918895841,
    0.6119930120185018,
    0.6588127324357629,
    0.6894056163728237,
    0.7365840133279562,
    0.7527247127145529,
    0.7670635711401701,
    0.8217813549563289,
    0.8522337079048157,
    0.8625125717371702,
    0.8546294756233692,
    0.8542921589687467,
    0.8244952885434031,
    0.8074200795963407,
    0.7959927842020988,
    0.7864734986796975,
    0.7637818790972233,
    0.7820822689682245,
    0.7819329164922237,
    0.7597987651824951,
    0.7085656076669693,
    0.7110620625317097,
    0.6403052620589733,
    0.5934245930984616,
    0.5143882893025875,
    0.4829152273014188,
    0.4703361243009567,
    0.4692004919052124,
    0.47710507083684206,
    0.4886493282392621,
    0.5201759375631809,
    0.5461800694465637,
    0.6024265689775348,
    0.6707561798393726,
    0.7163517968729138,
    0.7275594072416425,
    0.719968568533659,
    0.7186840223148465,
    0.711173091083765,
    0.6666527446359396,
    0.6295481519773602,
    0.5984533922746778,
    0.5920840259641409,
    0.5817797891795635,
    0.5285358903929591,
    0.4947569714859128,
    0.442337435670197,
    0.4040471129119396,
    0.3341035405173898,
    0.2529993476346135,
    0.2067006453871727,
    0.16764889378100634,
    0.1588720427826047,
    0.18546214699745178,
    0.1729089505970478,
    0.19836916029453278,
    0.33156043756753206,
    0.40151004027575254,
    0.43843760062009096,
    0.41852426156401634,
    0.4935697568580508,
    0.5544176744297147,
    0.6273351646959782,
    0.6737124575302005,
    0.6610011197626591,
    0.6432132432237267,
    0.5900378078222275,
    0.5295411953702569,
    0.5085920868441463,
    0.45726370345801115,
    0.45706857182085514,
    0.4410380404442549,
    0.4009690014645457,
    0.3840782968327403,
    0.39239476155489683,
    0.4236524300649762,
    0.4119504252448678,
    0.4446974340826273,
    0.48209257796406746,
    0.5278708823025227,
    0.5325619876384735,
    0.5519977817311883,
    0.5619678990915418,
    0.5391242848709226,
    0.48268709797412157,
    0.4438656084239483,
    0.44411684665828943,
    0.4167720042169094,
    0.3647710280492902,
    0.3522959463298321,
    0.3047008756548166,
    0.2637169463559985,
    0.2284395843744278,
    0.16086599323898554,
    0.132476219907403,
    0.11111431289464235,
    0.11191000416874886,
    0.10606603138148785,
    0.1599985621869564,
    0.21642420161515474,
    0.2532755108550191,
    0.2534688450396061,
    0.2571381740272045,
    0.2352375891059637,
    0.20915304590016603,
    0.16346265841275454,
    0.0871902946382761,
    0.011585308238863945,
    -0.02989281341433525,
    0.008701493963599205,
    0.1020866809412837,
    0.2192970523610711,
    0.2724286438897252,
    0.24946301616728306,
    0.22806008160114288,
    0.21040916722267866,
    0.14961857069283724,
    0.11453922651708126,
    0.05854814779013395,
    0.053043391555547714,
    -0.024762365967035294,
    -0.05168343707919121,
    -0.035794761031866074,
    -0.04272821545600891,
    -0.09224207606166601,
    -0.20817101001739502,
    -0.22780321445316076,
    -0.1894596042111516,
    -0.052666306495666504,
    0.104908243753016,
    0.1619122512638569,
    0.15460040606558323,
    0.25271356105804443,
    0.3236675010994077,
    0.40675292909145355,
    0.4819997437298298,
    0.5009415596723557,
    0.5122152315452695,
    0.5126082422211766,
    0.49634237866848707,
    0.5136088831350207,
    0.4814811199903488,
    0.40319469198584557,
    0.3028976172208786,
    0.22361757140606642,
    0.18395731132477522,
    0.2064874740317464,
    0.22851891350001097,
    0.25797994527965784,
    0.21872466895729303,
    0.2362268017604947,
    0.21681561693549156,
    0.22484590578824282,
    0.2054749084636569,
    0.17811786849051714,
    0.16203048266470432,
    0.1941789584234357,
    0.2493740925565362,
    0.329689578153193,
    0.3746943585574627,
    0.42482161056250334,
    0.4171174317598343,
    0.4198083132505417,
    0.42841396015137434,
    0.4392680684104562,
    0.4568405896425247,
    0.42811062932014465,
    0.40395577624440193,
    0.39562536869198084,
    0.3766527930274606,
    0.3243761220946908,
    0.29264071863144636,
    0.26649760641157627,
    0.19930339232087135,
    0.17214407958090305,
    0.1791224144399166,
    0.1891682930290699,
    0.24278754461556673,
    0.2822021208703518,
    0.3401857614517212,
    0.42985668033361435,
    0.5221635736525059,
    0.5566916577517986,
    0.6039646873250604,
    0.6678083194419742,
    0.7303791847079992,
    0.7723871991038322,
    0.815728229470551,
    0.8357311608269811,
    0.8191548697650433,
    0.8014065437018871,
    0.7586848735809326,
    0.7199616059660912,
    0.6822683736681938,
    0.6883053183555603,
    0.6952556231990457,
    0.6995732076466084,
    0.6995290778577328,
    0.693685476668179,
    0.6432781862094998,
    0.607290705665946,
    0.5695764068514109,
    0.5506390929222107,
    0.5314604295417666,
    0.5355093674734235,
    0.5334602193906903,
    0.5431423233821988,
    0.5804151045158505,
    0.5630338536575437,
    0.6014541694894433,
    0.6289548985660076,
    0.6480806469917297,
    0.6575599405914545,
    0.6657354990020394,
    0.639927645213902,
    0.5975568043068051,
    0.5153503566980362,
    0.418803577311337,
    0.3432156192138791,
    0.29229743778705597,
    0.2162761427462101,
    0.18480833154171705,
    0.20634069107472897,
    0.2864043088629842,
    0.347768634557724,
    0.45717788208276033,
    0.5111571364104748,
    0.527773599140346,
    0.533120003528893,
    0.4857832305133343,
    0.4527648137882352,
    0.45311843883246183,
    0.4331291615962982,
    0.47986787650734186,
    0.5338025791570544,
    0.5594322942197323,
    0.5435116142034531,
    0.5418500201776624,
    0.5245307786390185,
    0.5111225843429565,
    0.44256703834980726,
    0.3855545772239566,
    0.3064250238239765,
    0.22668423224240541,
    0.2024748818948865,
    0.16900480818003416,
    0.12135296780616045,
    0.1063134977594018,
    0.15458491817116737,
    0.2171330051496625,
    0.23456563334912062,
    0.2607526136562228,
    0.28940179757773876,
    0.331792239099741,
    0.33128527365624905,
    0.3700868859887123,
    0.37346815783530474,
    0.4307414488866925,
    0.48811938613653183,
    0.5069241374731064,
    0.5101617760956287,
    0.49500000942498446,
    0.45728254318237305,
    0.4464156776666641,
    0.38630049489438534,
    0.36390354484319687,
    0.2971275644376874,
    0.18474857229739428,
    0.08384135831147432,
    0.04269110970199108,
    -0.0023377714678645134,
    -0.02597511187195778,
    -0.021269679069519043,
    -0.039926325902342796,
    -0.07048838399350643,
    -0.02598346211016178,
    0.11865264177322388,
    0.2407918367534876,
    0.291866366751492,
    0.2987825619056821,
    0.3269315902143717,
    0.28925596736371517,
    0.26486920937895775,
    0.2729196297004819,
    0.2828105865046382,
    0.24661058280617,
    0.23459127824753523,
    0.2632757369428873,
    0.3046329412609339,
    0.3283567978069186,
    0.3656406104564667,
    0.3504393668845296,
    0.36593154072761536,
    0.3595564989373088,
    0.3790692212060094,
    0.3975236313417554,
    0.436962996609509,
    0.44431752525269985,
    0.36665030755102634,
    0.3463928224518895,
    0.29878511000424623,
    0.284167543053627,
    0.25629295222461224,
    0.2146426998078823,
    0.13743638433516026,
    0.09697961807250977,
    0.13878722116351128,
    0.14814866054803133,
    0.09369735140353441,
    0.01449386402964592,
    0.014922098256647587,
    -0.037126582115888596,
    -0.07697304524481297,
    -0.10165083687752485,
    -0.09457479603588581,
    -0.005603417754173279,
    0.09490232262760401,
    0.2206239951774478,
    0.29753395169973373,
    0.27196397352963686,
    0.23520010709762573,
    0.1768602915108204,
    0.21309533342719078,
    0.17030371353030205,
    0.08593037724494934,
    -0.025675992481410503,
    -0.1400092951953411,
    -0.22499474324285984,
    -0.22728420794010162,
    -0.18393315747380257,
    -0.17735624592751265,
    -0.18699277937412262,
    -0.14892356283962727,
    -0.0213699908927083,
    0.07486746925860643,
    0.18620523810386658,
    0.24208348616957664,
    0.3455340014770627,
    0.4261857317760587,
    0.4124349383637309,
    0.4228064473718405,
    0.4499448798596859,
    0.45272007677704096,
    0.4196098819375038,
    0.33563601691275835,
    0.30136761348694563,
    0.26751241367310286,
    0.2287621647119522,
    0.21971507091075182,
    0.17768262047320604,
    0.15045706555247307,
    0.09246231336146593,
    0.025404389947652817,
    0.0022170068696141243,
    0.03252789005637169,
    0.03784601204097271,
    0.09027491975575686,
    0.12174678966403008,
    0.12850527931004763,
    0.14378463942557573,
    0.14226116053760052,
    0.1869458956643939,
    0.19473813101649284,
    0.26034263893961906,
    0.30884410068392754,
    0.28008798882365227,
    0.21620811522006989,
    0.16746721789240837,
    0.18360574170947075,
    0.2165815057232976,
    0.21502868458628654,
    0.19233649596571922,
    0.15646247286349535,
    0.11152945086359978,
    0.08918206207454205,
    0.05510158557444811,
    0.009894517250359058,
    -0.04704199731349945,
    -0.03054281696677208,
    0.011077836155891418,
    0.03876142203807831,
    0.018287939950823784,
    0.10204978100955486,
    0.1609383150935173,
    0.181936995126307,
    0.14409841317683458,
    0.12075722496956587,
    0.07553140819072723,
    0.0833424236625433,
    0.04138335585594177,
    -0.03061605989933014,
    -0.04987340793013573,
    0.03604703862220049,
    0.15312134847044945,
    0.21835830248892307,
    0.23716309946030378,
    0.2551312670111656,
    0.272800013422966,
    0.267936241813004,
    0.23899421095848083,
    0.1790825016796589,
    0.14162473380565643,
    0.13612062018364668,
    0.14726918656378984,
    0.1766742207109928,
    0.1712133912369609,
    0.12169349193572998,
    0.08282867074012756,
    0.1226532468572259,
    0.18600788991898298,
    0.19299956876784563,
    0.1931882305070758,
    0.18546795472502708,
    0.17826238740235567,
    0.1812143176794052,
    0.1994394939392805,
    0.26658622547984123,
    0.3544308515265584,
    0.41261718794703484,
    0.434294356033206,
    0.40950210113078356,
    0.4086992768570781,
    0.413405429571867,
    0.3958595246076584,
    0.32602090388536453,
    0.2596993474289775,
    0.14977923594415188,
    0.08059332240372896,
    0.014162667095661163,
    -0.0006142370402812958,
    -0.038455160334706306,
    -0.12262771092355251,
    -0.15232349187135696,
    -0.033426012843847275,
    0.09705459699034691,
    0.21709278598427773,
    0.23294487409293652,
    0.23552617896348238,
    0.280040648765862,
    0.28656226955354214,
    0.3076298665255308,
    0.2985184919089079,
    0.3255133433267474,
    0.3801233321428299,
    0.3718884848058224,
    0.30724695045500994,
    0.23384486697614193,
    0.14010587334632874,
    0.07982428185641766,
    0.16179951652884483,
    0.3234415529295802,
    0.37473181169480085,
    0.3722686590626836,
    0.3541003568097949,
    0.35625082068145275,
    0.3070131205022335,
    0.2706258296966553,
    0.20029234886169434,
    0.17541122436523438,
    0.10878044366836548,
    0.05719577334821224,
    -0.037817697040736675,
    -0.13635708391666412,
    -0.16956565156579018,
    -0.13383549824357033,
    -0.022248794324696064,
    0.1370600489899516,
    0.17938079219311476,
    0.2351756077259779,
    0.30802955757826567,
    0.428826367482543,
    0.4949199929833412,
    0.535865306854248,
    0.5286133149638772,
    0.5322316335514188,
    0.5325130894780159,
    0.5226960210129619,
    0.49235453456640244,
    0.4702352173626423,
    0.5044789556413889,
    0.4729985110461712,
    0.4161498574540019,
    0.38433200400322676,
    0.3370904950425029,
    0.28519435692578554,
    0.2287652138620615,
    0.184013937599957,
    0.09586956538259983,
    0.04077210836112499,
    0.1016461057588458,
    0.14550028182566166,
    0.17386737931519747,
    0.18293604999780655,
    0.20133870840072632,
    0.21153228543698788,
    0.19131859112530947,
    0.15238492749631405,
    0.07715202681720257,
    -0.06620839983224869,
    -0.15129479300230742,
    -0.21412326395511627,
    -0.1907293228432536,
    -0.11209084000438452,
    -0.01815560646355152,
    0.01743484567850828,
    0.08293760940432549,
    0.11063269060105085,
    0.102786460891366,
    0.09397352859377861,
    0.06712430343031883,
    0.029168343171477318,
    0.0009040925651788712,
    0.0031435154378414154,
    -0.05585477128624916,
    -0.05895368289202452,
    -0.011651679873466492,
    0.04229229316115379,
    0.06544375419616699,
    0.07935191690921783,
    0.13765995483845472,
    0.14040249306708574,
    0.16556014213711023,
    0.1569560468196869,
    0.14356596861034632,
    0.17989271320402622,
    0.18957747891545296,
    0.16849706321954727,
    0.15263332054018974,
    0.1464015869423747,
    0.1694304347038269,
    0.15931113623082638,
    0.1683299671858549,
    0.157633307389915,
    0.17303593456745148,
    0.11856924556195736,
    0.08512915391474962,
    0.08785286266356707,
    0.10662675369530916,
    0.13841697853058577,
    0.20191502571105957,
    0.2012317068874836,
    0.2333645224571228,
    0.27853522170335054
  ],
  "earlyFolding": [
    0.03885031111441387,
    0.027762578263976833,
    0.0022665316413898887,
    0.0013385180959029923,
    0.001051519002899392,
    0.001369222447368492,
    0.0018988434927381392,
    0.004595684117561212,
    0.012097999082535166,
    0.02110653932477093,
    0.034211237549384974,
    0.0621591492671748,
    0.09693389737482969,
    0.10179143367164953,
    0.10431316706486397,
    0.11067454493612686,
    0.10707169564497857,
    0.09936317009550155,
    0.10162591076720881,
    0.08772692601581719,
    0.07174750343984498,
    0.0476661056874263,
    0.02666705507604553,
    0.021942199271817668,
    0.02470615003420039,
    0.024486288938297563,
    0.025950363304128206,
    0.03488300949309117,
    0.025214773221520367,
    0.029854341404325913,
    0.042182402264314654,
    0.036022629276847344,
    0.028731074732528228,
    0.01138403020392287,
    0.007375852237304181,
    0.0034984686984691517,
    0.0016412048240803808,
    0.0023252604250527547,
    0.004747804937530339,
    0.005064038681260795,
    0.009204902353011003,
    0.02423405166866119,
    0.03756206442067706,
    0.02941749769027562,
    0.00983791189979328,
    0.006455708068282043,
    0.006470253788069164,
    0.009460686249094373,
    0.015030389787138576,
    0.02344252785322795,
    0.026350059482478913,
    0.023970470169095766,
    0.013925763556856456,
    0.011243845200027297,
    0.012321217715673662,
    0.019676898702232184,
    0.016863599609706785,
    0.00707742942593956,
    0.0038617945058366555,
    0.008175810614254403,
    0.014392879983442379,
    0.011941997314910833,
    0.017252544380801916,
    0.04145982962772331,
    0.041032477656820505,
    0.01636219961469423,
    0.017575003546028423,
    0.014935648978450304,
    0.0038769851234302347,
    0.003526507771553772,
    0.006355394039060855,
    0.005176947154831558,
    0.0058986702288141785,
    0.011465192986972851,
    0.010219187832183367,
    0.010573358732282013,
    0.011383169004104216,
    0.009398376630925166,
    0.007798988794919489,
    0.004247457721463634,
    0.0019249874351668984,
    0.0015167129143818458,
    0.00111206602879755,
    0.000951686165066103,
    0.0018067038268172009,
    0.0032970495469233185,
    0.0038631142685283146,
    0.008857546999974033,
    0.022719560754427374,
    0.059780421001613494,
    0.056233026146981356,
    0.045220934811018146,
    0.046320694403580026,
    0.028122317104906806,
    0.007195890422133595,
    0.004731672468119829,
    0.003859508319028579,
    0.0032717735434543327,
    0.004068045339915312,
    0.0058495106014070115,
    0.011319778702849054,
    0.019012482533127432,
    0.01880678799680132,
    0.021284616058272712,
    0.02050326765435247,
    0.01766542483170167,
    0.021983665458494513,
    0.016164102621456945,
    0.01541371984893015,
    0.01651145625500539,
    0.009904891157012347,
    0.005846540429553432,
    0.0035068217360894353,
    0.0046781356395180955,
    0.005790639633452026,
    0.007839857312951854,
    0.009542369690224584,
    0.019248450692088297,
    0.019643353512322718,
    0.029023484260102147,
    0.026916632968521637,
    0.00920553332488148,
    0.006116885817811481,
    0.00638664531491869,
    0.008264437083481997,
    0.009442628544324157,
    0.0227984744466081,
    0.04795246795305255,
    0.04275977369300028,
    0.046985251705152546,
    0.08016427412363582,
    0.1423129699620881,
    0.10120227095301529,
    0.039728258502331276,
    0.015606020715716366,
    0.005437618267250775,
    0.002453783473310372,
    0.0021081892284619303,
    0.0028890036375069216,
    0.0024596686136753023,
    0.002931308291360546,
    0.004890624923955325,
    0.005888647860906489,
    0.009511690953636772,
    0.010584633615671026,
    0.013362416982366595,
    0.011485157204660137,
    0.008886208460760736,
    0.007617130291969692,
    0.005242969563301902,
    0.005008049390892947,
    0.007035709944285559,
    0.009191424431129308,
    0.011746458461322872,
    0.018541431183709114,
    0.025749392591495647,
    0.013104714870190468,
    0.015955290716779032,
    0.01584656233310684,
    0.005875177215008039,
    0.0024850031123793306,
    0.003141035228685756,
    0.0027605227483458753,
    0.002254228938116822,
    0.002023996628745682,
    0.004173888792620708,
    0.0059447690611931035,
    0.004011909296999125,
    0.004482032099171105,
    0.010135037938139281,
    0.03253124093262698,
    0.0452168458127504,
    0.027644115879649014,
    0.006964613906524449,
    0.001807377144608421,
    0.0008773593705133914,
    0.0010093810382301378,
    0.0027860683351795205,
    0.008305203937611413,
    0.016551707450109376,
    0.04452313316828391,
    0.075976158093749,
    0.10146260107350327,
    0.11686406356707613,
    0.13673143592077766,
    0.12824222086807613,
    0.12517586147196652,
    0.05979709171731354,
    0.0290488984297385,
    0.02001174798662735,
    0.01564104772765396,
    0.013320273397537127,
    0.018570867889099386,
    0.02432186960234108,
    0.021096969159728647,
    0.023524104377637838,
    0.02158404808005077,
    0.018842108312223695,
    0.02008853141078499,
    0.014874438289893637,
    0.009529271650785459,
    0.01116634149493262,
    0.009344068117780591,
    0.004548753602586955,
    0.002688156126410664,
    0.0020048675913119755,
    0.0027454575410607615,
    0.0016011968339166558,
    0.0009621930914420736,
    0.0011069869535717313,
    0.0014112003830848506,
    0.0010829457229922506,
    0.0008610439330027257,
    0.0007169062114840706,
    0.0008603613578262608,
    0.0011582556867364019,
    0.0012087147220103125,
    0.0015055137457056077,
    0.0016522383671799196,
    0.0010039342804807464,
    0.0007250764631727315,
    0.0013461521629304675,
    0.0012822560857378132,
    0.0012684471419064953,
    0.0018991995620649032,
    0.0012870886219359405,
    0.0013187155497308067,
    0.001445801140416366,
    0.0016782126501240003,
    0.0022683628538388016,
    0.00223158460502612,
    0.0037012078127112826,
    0.006411282641153328,
    0.0030382276175636223,
    0.0017156056804767863,
    0.0022842775417450615,
    0.001830039460719903,
    0.0013379513568158778,
    0.0011182762357015322,
    0.0007247302178103903,
    0.0014572198996769539,
    0.004645168936875224,
    0.006932686725455917,
    0.006064634369935628,
    0.007417117575501378,
    0.006524751503815577,
    0.0033061406031818347,
    0.0020667087473951917,
    0.0030475285875248793,
    0.009350548701664754,
    0.026593888791318635,
    0.05503964268203906,
    0.06938142156749011,
    0.0596193340419277,
    0.03730961866064472,
    0.014397136455235828,
    0.008322693298713832,
    0.0034183031357330656,
    0.002745011820201157,
    0.004678215628031461,
    0.007332290853521996,
    0.018214432205625932,
    0.035754824146011895,
    0.06216392346647524,
    0.05772219510637538,
    0.04376642356882886,
    0.043791813861377454,
    0.037671831914498105,
    0.044944325847792024,
    0.059758630142042614,
    0.06110592221806049,
    0.042743256818232725,
    0.022228817033032117,
    0.008203696596654085,
    0.00861792594871758,
    0.006730457172954133,
    0.006550301946461131,
    0.010352065838008483,
    0.022797599631763844,
    0.06093245536451705,
    0.0725056854227127,
    0.07467945593378063,
    0.06689456702568262,
    0.060774971772340494,
    0.038815025647918736,
    0.04193940868288825,
    0.04033356495640016,
    0.028910191030111942,
    0.018450871988083612,
    0.013076528390130154,
    0.013081835103806208,
    0.013060392284724522,
    0.01070166289582427,
    0.019805606179769057,
    0.06533284987159824,
    0.06682201668695768,
    0.03595063644807874,
    0.030644413076632165,
    0.012548569478563972,
    0.007637186222820322,
    0.005958998984604535,
    0.003933627881294531,
    0.004982562158652197,
    0.01118791088640981,
    0.018128034901799275,
    0.016747850948742433,
    0.012733571511032514,
    0.0069100950375528755,
    0.010996758311195736,
    0.022290525819467916,
    0.020243710807804752,
    0.011177552782658296,
    0.006388348960847583,
    0.0060810829243979105,
    0.00941893755463379,
    0.007260208294036962,
    0.007006313042639989,
    0.029151413288941153,
    0.06299749506070107,
    0.1007798520889508,
    0.13809881898684634,
    0.12908848229563027,
    0.10349215526121919,
    0.06974108685363851,
    0.06896400967091593,
    0.05349532697689462,
    0.01962751149041729,
    0.01993693806914917,
    0.020430264766149592,
    0.014637039989909367,
    0.009074068032111715,
    0.0037388606659027788,
    0.0012176782702063567,
    0.002480051251426475,
    0.008262158311389389,
    0.013042174372375193,
    0.028942377865663612,
    0.06655969739992991,
    0.13760491255671745,
    0.19644316859055813,
    0.19684255949033452,
    0.20422233951628155,
    0.13026298719868742,
    0.031656030887706646,
    0.0093341548794075,
    0.008261186181548098,
    0.004491700437030659,
    0.0017870085095013815,
    0.006901986036703077,
    0.0296794205757283,
    0.03052680149317056,
    0.028906111454413436,
    0.025052022044602756,
    0.012535298407990395,
    0.010319018422197936,
    0.010428460331874376,
    0.010469860952655695,
    0.01950976212496853,
    0.026707078707575795,
    0.028444351321694403,
    0.04364534947888229,
    0.0652210661700777,
    0.03260072895441295,
    0.01442338371705499,
    0.019910415090564553,
    0.016392653491257465,
    0.009439923382627722,
    0.014426997548348917,
    0.02657492557328927,
    0.03249899456684466,
    0.03996875866569486,
    0.10110318606869612,
    0.1781348053237035,
    0.1751307401252155,
    0.12536713478532996,
    0.04178299024395373,
    0.03087546458540007,
    0.018648439100062527,
    0.007242756873320768,
    0.0030961681366313836,
    0.0036121600112397193,
    0.007815330190312952,
    0.012341297268653599,
    0.011728433809810868,
    0.01172313133268294,
    0.01681158941591429,
    0.027311685900874197,
    0.043427828254899714,
    0.06513146190537153,
    0.12050370556105221,
    0.1129484521162648,
    0.0882019427967558,
    0.04319490521137116,
    0.014293156597751037,
    0.0071288437888989325,
    0.01078067756150331,
    0.021700323771771245,
    0.02681904353881451,
    0.06021301594387981,
    0.09176538050180427,
    0.05246962643417709,
    0.03816926374914697,
    0.018265177778145802,
    0.005741733421645906,
    0.004726628435250557,
    0.004707319640500817,
    0.005819919712248536,
    0.013377084563017718,
    0.018954859523047984,
    0.023156525562620146,
    0.02685177556365414,
    0.025925599045262673,
    0.03284091836110887,
    0.04516564483494538,
    0.032046115575500675,
    0.015459030059241902,
    0.014111397232260186,
    0.010053600291643141,
    0.011152246851650697,
    0.022274824293106784,
    0.026549387770338096,
    0.049504149563231625,
    0.08924814201815329,
    0.14641849656937467,
    0.16992229408167445,
    0.19214180004680628,
    0.15092055965436993,
    0.06660429220591818,
    0.04170848978525883,
    0.01564912445576232,
    0.0037377751221984224,
    0.003620752144255955,
    0.005220816958020354,
    0.002367905351255215,
    0.0019512323714149424,
    0.002775558283048259,
    0.0021450652527513657,
    0.0017332854918696396,
    0.0018370457547564332,
    0.0022595887233258795,
    0.004398509842056839,
    0.006832207377571819,
    0.011802996508078643,
    0.023342356456446514,
    0.04505139497029686,
    0.08863810819703939,
    0.11039844768988605,
    0.07131422246314273,
    0.06372569608549883,
    0.032762158935034175,
    0.011373649084068318,
    0.005773329845233934,
    0.005013767493186491,
    0.0024077635124932586,
    0.004281295801291657,
    0.015686344641321927,
    0.01802551474376741,
    0.01302964511894664,
    0.01976860583027226,
    0.020688060553490366,
    0.009803355755091425,
    0.009438460317617366,
    0.023840960741280746,
    0.059054251962392466,
    0.09184534277382486,
    0.10359327543691824,
    0.07093446427687967,
    0.059543953050191056,
    0.03921138595361485,
    0.007851709219317727,
    0.0043229967370884675,
    0.008728284310549016,
    0.011686432062477223,
    0.010105058796391992,
    0.011175606856738223,
    0.02273664184643483,
    0.0476489912301169,
    0.10841078036658165,
    0.1458338743982383,
    0.13072341498669654,
    0.11631166905960971,
    0.06643373122943316,
    0.05251790192260501,
    0.03907356672459149,
    0.018667317367574342,
    0.0075219308852231435,
    0.004841374048813052,
    0.005920506775950216,
    0.007116353898883409,
    0.004553543451856174,
    0.004733550533271238,
    0.010677022483915895,
    0.02901993234328339,
    0.059995449523025504,
    0.09267709594940673,
    0.1355690197682169,
    0.11783561392058153,
    0.07819753361218745,
    0.03956265465534298,
    0.018212242966635872,
    0.0077325390266447126,
    0.004308634319533687,
    0.003937578905140641,
    0.005176533028910678,
    0.009794418336694,
    0.01254936809288424,
    0.030690180181871918,
    0.058892620375543374,
    0.06052486511351723,
    0.04858237449247534,
    0.034299073433355455,
    0.02243875196749464,
    0.015221559601551193,
    0.020352387799432166,
    0.04247557411927941,
    0.058229282197624486,
    0.04558812140201045,
    0.07257244249787954,
    0.10200238943889466,
    0.059069471066040796,
    0.02541010064542672,
    0.01494773752333886,
    0.011455227760119195,
    0.022141795616014558,
    0.017401085965241616,
    0.01753936102088973,
    0.042655581970692844,
    0.044790568651236234,
    0.03541318727232591,
    0.05136201343752651,
    0.05126174534534993,
    0.06022079016029947,
    0.08641979659724063,
    0.07078542923370623,
    0.02995594354543728,
    0.023965600284564115,
    0.006965697258975943,
    0.001765899195009738,
    0.00191313517680754,
    0.0031729132671107518,
    0.004506550073552685,
    0.01247491288755945,
    0.01743145689026325,
    0.011823748518124363,
    0.009844497222711098,
    0.005082968978179266,
    0.002954068825786317,
    0.0049149562219969346,
    0.008199087645911467,
    0.015971392492253583,
    0.03555409837830568,
    0.05991125505591808,
    0.09821664747923167,
    0.10306675437979632,
    0.12597387066540072,
    0.10780183864180051,
    0.02953817066856562,
    0.020301458049567307,
    0.008812024366074308,
    0.003174356658311071,
    0.005734293700795182,
    0.01511661990652356,
    0.036870730948020784,
    0.0981207602766334,
    0.1092096267351719,
    0.08016978943607396,
    0.03608679998867178,
    0.017091662850528978,
    0.012825216653789715,
    0.01685820822250093,
    0.017376036762695442,
    0.03464320896953871,
    0.0575436557690584,
    0.08010263147501437,
    0.0725568976209296,
    0.02780795325583767,
    0.02370251168053307,
    0.018627746369603237,
    0.00899839266382056,
    0.008616689438710448,
    0.008676867049929312,
    0.02039283942947421,
    0.041293881480378936,
    0.06644428115039493,
    0.09848452541287941,
    0.15543619915083245,
    0.15323211819549373,
    0.1096796303565522,
    0.11860278604393736,
    0.0932737921672969,
    0.024061028060012982,
    0.008148155402735061,
    0.0028007236001697656,
    0.0039058216320711917,
    0.003308195233977523,
    0.0021898919621726218,
    0.0052620107079741395,
    0.011480142930824003,
    0.017240973029401536,
    0.0462503101611046,
    0.10275523671324377,
    0.10469169968207385,
    0.06297685409597399,
    0.07715138883670354,
    0.05661865643636624,
    0.017685962500788483,
    0.01539896147884961,
    0.015979974621669495,
    0.015898322134356834,
    0.015381021567037549,
    0.012913610876162036,
    0.008507535308522857,
    0.004381888390258658,
    0.0033004092601369092,
    0.002916799299274255,
    0.002721365471550588,
    0.0038743106453627872,
    0.006358068434549918,
    0.006148168409017651,
    0.0030879882325510048,
    0.0037579753025874627,
    0.007217509190777226,
    0.005820655635765336,
    0.005798615304551557,
    0.00608460288501566,
    0.003921026628593004,
    0.0029636546903719888,
    0.008988288689149738,
    0.023231175576532984,
    0.027789700880122618,
    0.024418169997205454,
    0.034471022183870555,
    0.019533917161695388,
    0.00734457045334229,
    0.004388126044678509,
    0.0037757110068496556,
    0.009156612359465487,
    0.04432925285565305,
    0.08606018044432226,
    0.09134073925511096,
    0.08339087793303382,
    0.10167250960412086,
    0.059744648673882406,
    0.021828050705088992,
    0.022989627765424604,
    0.016048653395298124,
    0.008612086421065802,
    0.008320408640815723,
    0.01598617831431639,
    0.031606407289435916,
    0.02925748560316875,
    0.0438750026330742,
    0.04294296895669704,
    0.02848517861670938,
    0.03568703300973929,
    0.048344521135200026,
    0.05012869787679884,
    0.031047664216665993,
    0.03610138091129772,
    0.019883687934607215,
    0.0034972626315268943,
    0.004360168131377994,
    0.006301023214238758,
    0.005760251217545464,
    0.004576123471616055,
    0.001998907598119733,
    0.00102718144778935,
    0.0010934961212375903,
    0.0016305379258352553,
    0.0021035439908626405,
    0.00359762704117449,
    0.006492163237167248,
    0.01353627736657989,
    0.02778990620802297,
    0.055314409555431196,
    0.08009461487364657,
    0.12231547837174955,
    0.10111533851196283,
    0.03846041547491353,
    0.02531989271979456,
    0.012342110869746339,
    0.0034563676154684073,
    0.0047718004780943095,
    0.007707150754070985,
    0.014795616634942178,
    0.0329533729636195,
    0.03607750209556122,
    0.035126997493411964,
    0.017006185451882726,
    0.01593361668874691,
    0.021236938760481903,
    0.026120165755311328,
    0.045383438023249,
    0.07950521415301377,
    0.05925566655115663,
    0.048738758662751736,
    0.030378868367927764,
    0.012029901250459165,
    0.009379854427153087,
    0.011533604481173129,
    0.014089958418302188,
    0.013872658852167711,
    0.01138714720949415,
    0.014168247644416248,
    0.019244050976403655,
    0.02824769711783703,
    0.04073267888434332,
    0.051379751743478336,
    0.03526723896925041,
    0.030058682275316263,
    0.043842615771931694,
    0.026710383241803526,
    0.01306462297800733,
    0.005179451698593609,
    0.003928683766990866,
    0.006314987439855539,
    0.01284413393442094,
    0.028144366556949647,
    0.06909121285545508,
    0.11495493440279832,
    0.13078493984371134,
    0.11881657130923053,
    0.056528599935077944,
    0.03422549486255057,
    0.01687043739097003,
    0.006571081376850454,
    0.0033011369574480662,
    0.0034902318891856,
    0.004205372708785655,
    0.004772744169256454,
    0.009302447089361792,
    0.01602944291551137,
    0.03239562976044707,
    0.03894973316067936,
    0.029974192418046865,
    0.024264000463956787,
    0.018423921624547486,
    0.005159078324726551,
    0.0019456661231458082,
    0.0017800340028645118,
    0.0026611047196886998,
    0.007669861724475224,
    0.026105052029379593,
    0.053947546541703965,
    0.06828845783640951,
    0.06787716767658054,
    0.05866305185328814,
    0.042160415165295895,
    0.035096894974846554,
    0.02692205493253354,
    0.013919087042479772,
    0.016824477891378708,
    0.015605304612756965,
    0.019414559943237042,
    0.02748443408027769,
    0.0333697143875804,
    0.05392891699580717,
    0.0979325788948029,
    0.22064119219548203,
    0.2086951088771681,
    0.12868665177671554,
    0.0765193959758557,
    0.048957161325067174,
    0.023143418306344966,
    0.005573015885892444,
    0.001320999889930464,
    0.0015284689145254231,
    0.002345066440282252,
    0.0016018209968462357,
    0.0025720472972067913,
    0.006868625320886039,
    0.013918006194362665,
    0.033898229664716,
    0.06610646299458478,
    0.11717431390227162,
    0.1336049711501837,
    0.09483449420853288,
    0.050842655072735624,
    0.044631966960923905,
    0.023741462287168336,
    0.006988217753483941,
    0.004730697632981184,
    0.005849224954705328,
    0.008484608090811129,
    0.019263108817681014,
    0.025611341262147053,
    0.03850224100641858,
    0.035758425636280296,
    0.02051998422917899,
    0.009354057989919912,
    0.00623564977648269,
    0.007713924294785424,
    0.013039037064323852,
    0.028515259789613175,
    0.043985859677897525,
    0.05706890791604369,
    0.0398998414009456,
    0.024765912148733644,
    0.014116414468939301,
    0.005000780019950247,
    0.0033106005590697323,
    0.00379059026645698,
    0.005547962879514369,
    0.006430174521553363,
    0.00551090218750481,
    0.008702953903143391,
    0.016626426840343357,
    0.03502469933042892,
    0.043690091791647234,
    0.04003949577844689,
    0.029617783125837453,
    0.014571686086529615,
    0.009080324603639727,
    0.006305054274319032,
    0.0032233086642161355,
    0.0015960730266791792,
    0.0017865211295217905,
    0.004871296204760136,
    0.005108092805337151,
    0.0031142213831460174,
    0.0071800161236402725,
    0.016312850954896107,
    0.02707481578650002,
    0.0867296095068303,
    0.17364889278250317,
    0.1633682824556809,
    0.14566334055407668,
    0.10208288130542252,
    0.027788180198828387,
    0.009084493769765667,
    0.010315853460506426,
    0.01653281999936811,
    0.01920569291757947,
    0.0328633881287535,
    0.0627642402126167,
    0.05294954303793534,
    0.04559994626153661,
    0.01748079189239372,
    0.006923524067306209,
    0.0018349497313518807,
    0.0014235782339144581,
    0.003559679212253282,
    0.007508129368699038,
    0.013525816882778449,
    0.021458468177479473,
    0.03468594915328236,
    0.04976816581708928,
    0.060446902696296205,
    0.04553258754739725,
    0.045762873279115227,
    0.03125946615554343,
    0.026499636287723075,
    0.017547348299273555,
    0.024664177911911122,
    0.03488764357866584,
    0.04875782624850315,
    0.07233399060040617,
    0.09100846836139563,
    0.13081102717022042,
    0.15074495733605292,
    0.14565419463601148,
    0.10796444638847601,
    0.08262901833050681,
    0.062165618247122856,
    0.02388580354872875,
    0.007673285987964825,
    0.006522931416030658,
    0.007610773858645124,
    0.014685164623335351,
    0.0163729128275983,
    0.0071601456961156275,
    0.003579748067994146,
    0.004169124828098986,
    0.0036739850161075388,
    0.00556633244885856,
    0.014236371288953779,
    0.03081985298265154,
    0.06755818307754731,
    0.13149067465594627,
    0.24999859496587049,
    0.3734031198717411,
    0.37941627223677066,
    0.23059765669077273,
    0.07412416384974906,
    0.042731236997674796,
    0.017300718002625528,
    0.00319801315482598,
    0.003665759054020711,
    0.013831009351627697,
    0.0270592932759226,
    0.039417230626658785,
    0.0714032503325985,
    0.1139953565524961,
    0.09441504767730614,
    0.05902058925502853,
    0.07198841515952191,
    0.08717335562148291,
    0.046659882178301394,
    0.035579553368539726,
    0.040478308260847216,
    0.044119600487642505,
    0.030464280877727203,
    0.007707963701867794,
    0.0038603736967454776,
    0.0050196299152047924,
    0.0031594214656913587,
    0.0014897175868715151,
    0.001676949981194989,
    0.0035284540050604754,
    0.008096509675300264,
    0.026419363749751453,
    0.04910521219697135,
    0.045899196066292385,
    0.04570310956267269,
    0.029305186201185798,
    0.019277540109000183,
    0.016109975355730537,
    0.008804152088695767,
    0.003183481300995261,
    0.0017084762027781584,
    0.002455630106991936,
    0.0026529988363272064,
    0.001407771765896175,
    0.0018951685663453077,
    0.0036475238339867583,
    0.014112519772386097,
    0.08168358822832633,
    0.2154051506906766,
    0.1733832543671563,
    0.11688100134213118,
    0.06289647691946647,
    0.015259268163050182,
    0.010366076095017608,
    0.006157559677621356,
    0.0015381677660240886,
    0.0010027565790973986,
    0.0016421540617715012,
    0.002598888928534992,
    0.006647078867877563,
    0.01744660240744415,
    0.0561756597752768,
    0.1548591249702742,
    0.11209613013217164,
    0.04026748370983869,
    0.019579775707968355,
    0.014916235845875115,
    0.008129027581929687,
    0.01285232014126415,
    0.03786516873631653,
    0.05073576050493867,
    0.03429527418447482,
    0.05671920297157001,
    0.06454244750634039,
    0.039156656127320465,
    0.02809930669961839,
    0.029450955108312058,
    0.019259960890061587,
    0.0128495613111686,
    0.010663144377915537,
    0.018283703156045515,
    0.03679682339751213,
    0.0697554983385634,
    0.10189519776946436,
    0.09117440592290448,
    0.07667906726216392,
    0.0932969676747861,
    0.16394424882334482,
    0.1989683071421665,
    0.1857108589337615,
    0.1808383702113273,
    0.09950162251778158,
    0.017047941421517592,
    0.00475916052964712,
    0.0057982398790448805,
    0.004928548362608936,
    0.004263775833652243,
    0.0036138051817257333,
    0.002779059099220636,
    0.0030589502216292644,
    0.0032241310749265457,
    0.0044892828284341215,
    0.008469792903700833,
    0.014017961944376447,
    0.02150943668706653,
    0.054793445733238307,
    0.07746879267054409,
    0.1278867280887479,
    0.16986096920060118,
    0.15435530768331535,
    0.10595927316063873,
    0.03907694970246703,
    0.03629845237936043,
    0.015738499489238587,
    0.0037797529451055077,
    0.0059087372502112205,
    0.011867891118595313,
    0.01044468927620133,
    0.014937887620078196,
    0.023804183687545336,
    0.016720721813459155,
    0.015052734356349528,
    0.013870444196648252,
    0.029227707896290336,
    0.06769890026821208,
    0.10129150130851662,
    0.1304951207418494,
    0.14780122122060677,
    0.1155149468973947,
    0.041007614843910085,
    0.011597087582005347,
    0.007163163224350147,
    0.0030342908213910197,
    0.0020072891804832982,
    0.0031044895157274093,
    0.006278086905136491,
    0.01428441094983064,
    0.02600330311588665,
    0.03922775508932877,
    0.04724165440414821,
    0.052735867641996996,
    0.07776327577597365,
    0.030519743025395958,
    0.017359820405812385,
    0.009132178332893663,
    0.003050502412441234,
    0.002164178661593436,
    0.0009738945972804019,
    0.0009406532647672169,
    0.0023319419979692772,
    0.002232257965525508,
    0.0023814499293132157,
    0.004972305923676425,
    0.016484360634006684,
    0.05353478036871977,
    0.11772631154043703,
    0.12458136174979915,
    0.08280243450554822,
    0.10124486100687725,
    0.055068720830287334,
    0.014368638457058804,
    0.009798827904408097,
    0.0065196949744616576,
    0.00549848226658612,
    0.007869933705024456,
    0.027774693726234388,
    0.08799879071964284,
    0.13748695737004155,
    0.16855050067937102,
    0.1804239917494144,
    0.10768910505872571,
    0.07459240248362972,
    0.03276081843230797,
    0.015618239226929433,
    0.011015215978311713,
    0.012925463637362463,
    0.023973694753314245,
    0.03650526971509707,
    0.06580561960869431,
    0.10252815907655807,
    0.11313260496078098,
    0.09561850493292069,
    0.09078386856552934,
    0.07018765650687167,
    0.07890776904407418,
    0.06592745848164991,
    0.10895903225441791,
    0.10280724993250182,
    0.06696460505501428,
    0.08475674281494945,
    0.15253228634138138,
    0.2003169326439909,
    0.21087334042808514,
    0.2171946687748064,
    0.1664471576283165,
    0.06898635088357297,
    0.0389009320081968,
    0.021394557172177326,
    0.010597810981862802,
    0.008879847561310118,
    0.009202746469964761,
    0.011813036886885129,
    0.016063026802578033,
    0.014494014186644501,
    0.01206562411353293,
    0.0207806578059675,
    0.03711382627428183,
    0.0674407306766812,
    0.1645640822660914,
    0.26287058376762085,
    0.3319408181331293,
    0.27164683026161573,
    0.15020827025880396,
    0.04317102780962411,
    0.013657455202590074,
    0.006622059507865216,
    0.0029383071637652963,
    0.005101861882282953,
    0.012163857862116819,
    0.014512155263710217,
    0.026232550453875885,
    0.04127111237349588,
    0.03292217256354803,
    0.023047957395719982,
    0.050635232288206856,
    0.11322707919401706,
    0.17890774458411815,
    0.176311740247331,
    0.09427398866842233,
    0.050317020795604774,
    0.0382056218304002,
    0.0510808609488558,
    0.050458442376844825,
    0.03675471170903078,
    0.018870625627405803,
    0.00891575995417533,
    0.008837470062008313,
    0.008903574848127744,
    0.008952144717114661,
    0.01765294148746424,
    0.02297028310544222,
    0.021443093044329026,
    0.025519646434941794,
    0.05131176691192625,
    0.08793991142437602,
    0.08300500302483779,
    0.0815523039106584,
    0.06214929846114692,
    0.020705134694780587,
    0.00840046171270099,
    0.006151501608760888,
    0.004378203761308518,
    0.007232836971144601,
    0.0062845446093049845,
    0.009366369842363475,
    0.011156886494088919,
    0.0067235742704303296,
    0.010701017360191923,
    0.01790877340550306,
    0.017769954808525727,
    0.030985754578222592,
    0.05434558873499567,
    0.050637117766352074,
    0.03298773325484913,
    0.014321336584301533,
    0.012147884010686854,
    0.00893957694426769,
    0.012666947812001311,
    0.038496688241489455,
    0.07749087444095218,
    0.13688102282129277,
    0.14138779617285382,
    0.11079796107937787,
    0.06554669710518582,
    0.01503611030012113,
    0.008258297060514452,
    0.005188904474860761,
    0.005301813403560371,
    0.006505076453420595,
    0.008297011289931834,
    0.018128326010367436,
    0.03605842524497535,
    0.05611062133888274,
    0.05227837584710059,
    0.0259714493460346,
    0.018450578358060746,
    0.016922651624077596,
    0.008608733046773202,
    0.007013692582984413,
    0.004243664747558216,
    0.003936421870625186,
    0.008778159775123105,
    0.014854802707080209,
    0.019347790860057428,
    0.03728312337612232,
    0.04731719424564645,
    0.03966297441569098,
    0.02671051101012745,
    0.03930073497472574,
    0.04038155657758276,
    0.022349563516376545,
    0.007777675188527104,
    0.0031700195627618415,
    0.003328622979018357,
    0.00771544208846523,
    0.012262268168300486,
    0.02358185107774842,
    0.040542081132754884,
    0.04005513701872764,
    0.02768340543422402,
    0.04094468879697173,
    0.090297821562431,
    0.11590124249413056,
    0.1217991795883653,
    0.11674193508670531,
    0.18606148386650198,
    0.2466058550838577,
    0.18648142764593614,
    0.1403023377476364,
    0.09766992368207617,
    0.033226486204545484,
    0.02365070385903114,
    0.04967421343204093,
    0.06046631305923258,
    0.042942199987836605,
    0.03925990772738198,
    0.060719444770988805,
    0.09793662899639542,
    0.1564134234955201,
    0.15621463458929039,
    0.13325633781367982,
    0.12057453718536852,
    0.05087940265873632,
    0.024940748578200833,
    0.018020190179305704,
    0.021641361206373992,
    0.027023669967138227,
    0.03339803700348834,
    0.04808828222741566,
    0.08025889335993262,
    0.07715785865297693,
    0.05945861751536614,
    0.058764526878991925,
    0.06856768316469339,
    0.10311202059211118,
    0.13049416213635878,
    0.12596755370375629,
    0.11583446383981082,
    0.09543634943192562,
    0.0519377698563075,
    0.03883073056102745,
    0.048785696099615576,
    0.04987413751356236,
    0.0629494228211464,
    0.07273413622118824,
    0.07118183380759405,
    0.03816919654923463,
    0.0287421801309874,
    0.016525779598712615,
    0.008263632026308972,
    0.010917275267291028,
    0.03949066644495471,
    0.17307957127338872,
    0.48913368085190434,
    0.5430640599278458,
    0.3936176543891267,
    0.18852437848542164,
    0.10333719419849713,
    0.03596891481812832,
    0.021318585377486297,
    0.012898370898351347,
    0.017389783758329228,
    0.021882843265054876,
    0.03674686781990634,
    0.036152700339164,
    0.02205669356547548,
    0.019316833783947055,
    0.03475819986813342,
    0.0550055801603158,
    0.06366668819142424,
    0.06947223097609373,
    0.07787031734883104,
    0.07578011485846481,
    0.07270535079583339,
    0.07721642548089579,
    0.06154386738772222,
    0.032678710291092816,
    0.012964356706753048,
    0.005432680230183164,
    0.0068239414222986865,
    0.010134185459669869,
    0.01172287222172569,
    0.015554553302302265,
    0.019119081391324705,
    0.03463461174070519,
    0.04476089149944513,
    0.023438295022341304,
    0.010046492497318218,
    0.003518861006305331,
    0.0038486031295483685,
    0.010782459012119664,
    0.026582614746643963,
    0.058252840398037214,
    0.11935819264280194,
    0.21619313627885955,
    0.17076691853202025,
    0.12531975509942073,
    0.07153776739624519,
    0.039380905135906565,
    0.04611710851595156,
    0.07550564724077431,
    0.07898154015166164,
    0.0658932846711968,
    0.03942905544481552,
    0.03432200572096697,
    0.03404661527550958,
    0.05402180190301852,
    0.04332947372875463,
    0.04509035284291539,
    0.07982611132002722,
    0.07078543077668094,
    0.04218798091507484,
    0.028370097976764354,
    0.011558490488216618,
    0.01099099537830054,
    0.026622844726902347,
    0.08924021798750048,
    0.19587246131562708,
    0.17153646936419187,
    0.06570443118917725,
    0.03426329968451895,
    0.04034315092473926,
    0.03898302727615724,
    0.015110854361851604,
    0.018446474551977173,
    0.04189346596732589,
    0.0752555460307347,
    0.09746574738948777,
    0.15943700235032224,
    0.1586477736137664,
    0.1388342512491591,
    0.1744118497948943,
    0.13088020312204265,
    0.05986086011717409,
    0.028701491922206654,
    0.010033327381050998,
    0.008808380846661055,
    0.008612648687452033,
    0.009918665731950644,
    0.00841407944068536,
    0.008431955195757417,
    0.010585291017286776,
    0.014058850234046207,
    0.01644285493326728,
    0.0301244770374643,
    0.03596919165867888,
    0.04233844034804367,
    0.0601725094104554,
    0.0796510053680335,
    0.06152085585359109,
    0.039852774744898484,
    0.036539947808623734,
    0.03008135746946452,
    0.022078232103849963,
    0.01661855577573996,
    0.01291162351676269,
    0.01696569305375867,
    0.03065525936142869,
    0.0571123854152102,
    0.09676809529922463,
    0.07189867109054757,
    0.08792158884818803,
    0.06107180915850769,
    0.012998597473726411,
    0.007640517913250944,
    0.01056168542758361,
    0.015632434290216716,
    0.010161293542893293,
    0.007629760023470301,
    0.02401431841482065,
    0.05790353720798652,
    0.03410916702192661,
    0.04475823257957664,
    0.057327393810259294,
    0.0841856457920976,
    0.07354898524317792,
    0.08883408993601616,
    0.1582860096631869,
    0.08559859380113956,
    0.04050965482542657,
    0.0151016131582258,
    0.015879615119624643,
    0.018974314717377226,
    0.007816840437144494,
    0.006245488289741799,
    0.012804272269481397,
    0.020730070648137186,
    0.02709329081182593,
    0.050858218250129754,
    0.03606528041286123,
    0.01967850529982982,
    0.006897440161533262,
    0.002955768662556943,
    0.004336882843216975,
    0.006796838936604282,
    0.014719508562893974,
    0.0539297803233086,
    0.07546417947119896,
    0.04913803142402302,
    0.10463940702028487,
    0.1227262316826939,
    0.02651599945664408,
    0.011266474303535588,
    0.019879255629179773,
    0.02559229822322137,
    0.011543881281373078,
    0.007675261066891109,
    0.026833862638904877,
    0.08126345606515897,
    0.04795396609918032,
    0.05419887874660544,
    0.04496769283256198,
    0.02758101624138861,
    0.012756066599345814,
    0.01296586657194851,
    0.01528971578609105,
    0.013038722675607455,
    0.037532941648600084,
    0.04019739582303494,
    0.02663523879874028,
    0.0361831617352646,
    0.0711258458925609,
    0.06084342592866205,
    0.011270076073658111,
    0.006894727197664658,
    0.008385442249571065,
    0.012913424611033985,
    0.05493885417240232,
    0.19906793056230626,
    0.2544644488588246,
    0.19201610676045136,
    0.13849955579523868,
    0.10672732926663965,
    0.06921537118795587,
    0.05156991482964524,
    0.0430075826559175,
    0.059380853518775374,
    0.13644598901877725,
    0.33855581031069354,
    0.38253735060943905,
    0.2946056965363963,
    0.07661873335410274,
    0.020664279164299,
    0.008786625261375438,
    0.006985753443111977,
    0.016323818510833494,
    0.015143576368847285,
    0.014413701120357477,
    0.03487838966660784,
    0.07073978347390124,
    0.08817421521505708,
    0.06620222099945582,
    0.07603397780711608,
    0.13113543201248432,
    0.05979930012720633,
    0.015906376812041087,
    0.013619646708778384,
    0.02893136223365055,
    0.02073440058752081,
    0.010268249601325044,
    0.006248816619362112,
    0.018557947855773506,
    0.07403301446890158,
    0.10954412057315185,
    0.0882801131441671,
    0.057149952402167574,
    0.026462693873948902,
    0.02477910838155741,
    0.025357287560740828,
    0.014728444845323868,
    0.01788538357327159,
    0.023444214599554564,
    0.053635234570066,
    0.08692924014278992,
    0.08567419925562793,
    0.08219351345411464,
    0.09196667873693977,
    0.07573214449606312,
    0.06540193786250018,
    0.05367594754379362,
    0.03292075097223045,
    0.03252218355963177,
    0.04028757315310828,
    0.03902801546278229,
    0.02642656729361723,
    0.018172454592035932,
    0.02668562931799621,
    0.038392505423617725,
    0.07769303841578173,
    0.1331784613817969,
    0.11308502706138293,
    0.062370380310837414,
    0.03927715700897152,
    0.021432088080772894,
    0.00952449887855536,
    0.013579147646154918,
    0.019371575325459696,
    0.00941228307866882,
    0.013763306401965356,
    0.028509316049134106,
    0.027034544460245894,
    0.05275372123694138,
    0.12710401625117687,
    0.15835304757804392,
    0.13171983783219127,
    0.07787411070680295,
    0.09030496960870214,
    0.06981901141564588,
    0.028028053572218322,
    0.028367958820279114,
    0.06142903298722522,
    0.10121506524908301,
    0.09929082053713102,
    0.10345335137850899,
    0.0918212495576652,
    0.04480283983571731,
    0.016186387790751003,
    0.012387739633751728,
    0.006339964153300439,
    0.003757703170759939,
    0.008788834441114978,
    0.026404715543165747,
    0.02855973096698696,
    0.04192050245503069,
    0.054881352600028833,
    0.06608959863404797,
    0.04463359088380189,
    0.019445195726695293,
    0.022178740640865176,
    0.017640568002864017,
    0.00744337554697928,
    0.0062970428129322945,
    0.007105257127265941,
    0.004149290702987879,
    0.00227423371208932,
    0.0036432181393431778,
    0.006898806027665298,
    0.01876150921861389,
    0.04519620493400763,
    0.04495615146157699,
    0.05762086788910895,
    0.07527005159322933,
    0.09028563361851603,
    0.0748833404438676,
    0.057957802543975825,
    0.04398275414112883,
    0.021522283260276564,
    0.007780885073922796,
    0.006051147833236337,
    0.008169245342540887,
    0.011735376674109423,
    0.015204430119418482,
    0.02276616330078959,
    0.041554444234241206,
    0.0390282037804307,
    0.026912935180253224,
    0.013462232197325688,
    0.0065969846167534705,
    0.002485747457749576,
    0.0013197450619302764,
    0.0016292300520654407,
    0.0026113499566142928,
    0.003006174684672534,
    0.005751161155977676,
    0.03154398027367744,
    0.08889387660888856,
    0.14421166404376656,
    0.17582382618779552,
    0.15032935405406628,
    0.06673610310409342,
    0.011979797758836593,
    0.007258957044612029,
    0.019190952796664263,
    0.016012498064406615,
    0.02046066913678493,
    0.03568214966631781,
    0.06923303143817891,
    0.13933902880226004,
    0.1356485882299948,
    0.08074572925068078,
    0.08091497178403056,
    0.0678033658922809,
    0.02213791738846036,
    0.012083993218223569,
    0.018852762256379413,
    0.017205240517548497,
    0.013514917602814919,
    0.022888881512772585,
    0.03690071926456859,
    0.047305019961889704,
    0.030086113190041324,
    0.01677098782287906,
    0.005422829665979246,
    0.005434375257709238,
    0.006336327140173725,
    0.0029984493578906987,
    0.003039007975140633,
    0.0053626213810765945,
    0.006101974017279687,
    0.004816511576315711,
    0.0036863082122756143,
    0.006927634546819792,
    0.011265284331332347,
    0.0072553116724225165,
    0.009607693899390616,
    0.012878031747352543,
    0.011291707491650552,
    0.014823150227064355,
    0.0210304677224022,
    0.022815519870786432,
    0.02306726719733594,
    0.020075068036888664,
    0.01838631236869906,
    0.02211682091558379,
    0.009146440115157962,
    0.005888838685964853,
    0.01423428804583038,
    0.013091993576657064,
    0.0037021896345273246,
    0.0038732846605999496,
    0.020678155416372822,
    0.02050455211124843,
    0.011560080204240823,
    0.01283411701382657,
    0.015817637001196067,
    0.01860043647111988,
    0.03109303821756813,
    0.05259377080890128,
    0.061162256727036304,
    0.06084895048586428,
    0.06603216581323916,
    0.029526857430226,
    0.011268204953715708,
    0.017309545129575707,
    0.038697595089268136,
    0.03171602594701104,
    0.017406703888063556,
    0.008710018509224102,
    0.006281405929043252,
    0.004614857021870216,
    0.007637689965431716,
    0.01225203887257013,
    0.010630974789108457,
    0.019888651313463953,
    0.04406523310517133,
    0.04736161321621695,
    0.06358469329535318,
    0.06194335459262108,
    0.030837818249002374,
    0.008458820473812714,
    0.004736697559809215,
    0.006024443961251032,
    0.009282500921301983,
    0.004747051401662085,
    0.0037253757986570593,
    0.008441218933863227,
    0.021113601621446727,
    0.026589105707335706,
    0.04204475554957674,
    0.02848845446777896,
    0.025962213169258678,
    0.027894707104655497,
    0.03710935853147094,
    0.03341036563320876,
    0.017436877672738414,
    0.027134359229910074,
    0.027010395617568187,
    0.017380278350309232,
    0.029447364855285554,
    0.01088857398014311,
    0.006483229481658989,
    0.00628052818738562,
    0.009591668641834646,
    0.024002165370067177,
    0.06419713870527681,
    0.056884981960826426,
    0.03153908672977404,
    0.01723990674513134,
    0.038160988925869783,
    0.046528162415504386,
    0.043798025943309844,
    0.06914983780854164,
    0.13281115988383144,
    0.17467803122595807,
    0.12039929038678791,
    0.1755783889424505,
    0.1629995518969027,
    0.08163932385702656,
    0.023631386893858877,
    0.021663029077981472,
    0.023200867022459108,
    0.008600111659528271,
    0.003427496663305466,
    0.006776502333355708,
    0.023138824728249494,
    0.013667154647169302,
    0.010807606716191742,
    0.013812478575450442,
    0.01058362649398616,
    0.006545924518427403,
    0.009330156267767174,
    0.012248531443802594,
    0.009856952156061008,
    0.014283658007221138,
    0.017097796125652185,
    0.014235096181034244,
    0.01129206472069683,
    0.0068869285437889605,
    0.016848343510316225,
    0.037181125581470575,
    0.029771871085487196,
    0.02093870744586349,
    0.022879500571508442,
    0.024324648495057957,
    0.016288575867263053,
    0.028833907410229943,
    0.052363305756099675,
    0.09683715714348655,
    0.16254917134120717,
    0.20803747360351338,
    0.19975282671571085,
    0.1512215076952382,
    0.08420228833510847,
    0.07272110251888106,
    0.09126337395830146,
    0.11419005213112274,
    0.11467800597388861,
    0.10168738217831028,
    0.11345018519384442,
    0.08252008459710887,
    0.05034915148296234,
    0.05706094621683684,
    0.024726432172084624,
    0.012791080983590695,
    0.009434970645944856,
    0.010963660682199774,
    0.023211609899018156,
    0.0475086166391005,
    0.06143412801129464,
    0.05417338115992711,
    0.028994940659911893,
    0.026014521421613944,
    0.01171759316035104,
    0.00322289523718145,
    0.0016157621443426008,
    0.0018336131663404761,
    0.002529550875404507,
    0.00370033137896871,
    0.00671942094462416,
    0.022165800358937133,
    0.03760440431031701,
    0.07455621847267815,
    0.07702720394275508,
    0.10253966165064404,
    0.07475492401773258,
    0.027977292354652756,
    0.01504928343068803,
    0.02316639271197834,
    0.04076067085161302,
    0.06110671262454848,
    0.09495662353197588,
    0.0657996540014234,
    0.03848784102727153,
    0.016225308968338154,
    0.009474555784702106,
    0.00590643693422877,
    0.0041194979511977115,
    0.0026215943004947438,
    0.002329206061609009,
    0.00627875867812947,
    0.011498559206360854,
    0.01924365216462329,
    0.027805787718963196,
    0.02303878626736345,
    0.02234503966202914,
    0.018624283353393507,
    0.01847095752181079,
    0.019457225037541118,
    0.011903356661634524,
    0.015506165663699346,
    0.011321538514143878,
    0.0028281843852470895,
    0.0022005661476923034,
    0.0022909750300258817,
    0.007821162776213017,
    0.028193763370075016,
    0.07586862915531521,
    0.12248470191933103,
    0.18070042856383267,
    0.15979887067333845,
    0.10630807676745777,
    0.0926834842865119,
    0.04211680653606,
    0.022768267180813824,
    0.022802905247318733,
    0.012326860402901674,
    0.008300225124329288,
    0.005681467161204906,
    0.0062064466318367895,
    0.006193393300196595,
    0.010080049275184334,
    0.018696239580171557,
    0.04330975683772354,
    0.09292201362873784,
    0.09988270897827292,
    0.062366731828583724,
    0.041670738921410586,
    0.046383127505435474,
    0.038472488364007316,
    0.016663649306728555,
    0.01478846782537168,
    0.01791862870749345,
    0.017520381881834277,
    0.010671941410632473,
    0.010185853773634236,
    0.01381797857312952,
    0.015057936133706177,
    0.018196023252141803,
    0.016497906240677835,
    0.015815072295015064,
    0.014863228598195955,
    0.010813544320455901,
    0.008668779502215281,
    0.009551423180016975,
    0.00963293394681843,
    0.009952682995152326,
    0.020273442953039057,
    0.06488659441075417,
    0.09657041566173864,
    0.09134706752090742,
    0.10859772080804603,
    0.12970328501405032,
    0.08059874319706574,
    0.037001496442028235,
    0.012252512472315,
    0.004739739161743821,
    0.003434417464979874,
    0.0034518829873111507,
    0.0038430805839013583,
    0.005909377295994999,
    0.016661075886538597,
    0.04669973319172312,
    0.08756495299656884,
    0.09392140352148173,
    0.04003168975969726,
    0.017881798440558625,
    0.018136619469019975,
    0.019362146005055775,
    0.01487605034481832,
    0.02163128384048031,
    0.04392036980938825,
    0.030514048966926215,
    0.024965792019502425,
    0.04448753400366989,
    0.05571995596578388,
    0.012985685968760383,
    0.009977206373103911,
    0.011218005082712442,
    0.0075950858208436636,
    0.008852810306132467,
    0.007336570511771155,
    0.006156736455107857,
    0.008596217871932184,
    0.022786496263191017,
    0.03631585045111418,
    0.03960843860042785,
    0.03047871101143757,
    0.019982377027499568,
    0.0108686952886711,
    0.007114842321881721,
    0.007582583676762592,
    0.022806517167092675,
    0.059335167924659975,
    0.07930727586628053,
    0.11935810274818265,
    0.10169520570333748,
    0.10305143528548433,
    0.03632743947533858,
    0.011771274993943762,
    0.020050271723515,
    0.03644100678730243,
    0.015035903276862628,
    0.022944882125072598,
    0.015646657312772292,
    0.006287388733999806,
    0.01273047706626143,
    0.02316994693754856,
    0.015689013725951165,
    0.01059778124623099,
    0.01097995984422985,
    0.011195336696765819,
    0.013626667101550817,
    0.005937870877497084,
    0.0025025360775235,
    0.00205043474131885,
    0.002785313854712378,
    0.00516317849012713,
    0.018947730391040828,
    0.01863566012299931,
    0.006009298801248998,
    0.01265915003374604,
    0.0320008091448592,
    0.01964143343429459,
    0.015684431869640053,
    0.03242965170545056,
    0.05640282537400453,
    0.09291807223013417,
    0.11983780809826823,
    0.11114311959832408,
    0.030903868429430405,
    0.01656625448379427,
    0.027348363527320948,
    0.04053659492171913,
    0.057996021407470975,
    0.061287367056824305,
    0.0689718536232223,
    0.07591090493727361,
    0.11766895116435977,
    0.08563350646858738,
    0.03155830987972749,
    0.04553405855365971,
    0.10668529738697959,
    0.05920708703984583,
    0.030568473626162797,
    0.025488217100681408,
    0.026733452928472314,
    0.028658026439909577,
    0.008934227918940161,
    0.009064381560832868,
    0.014180504778275638,
    0.01912930214632558,
    0.04613975591468048,
    0.12928184580203714,
    0.09235908295108604,
    0.021961727100979583,
    0.014933995587368994,
    0.007466823521655014,
    0.0023632027895705565,
    0.002311803308681255,
    0.0037837327626960085,
    0.0030094654749766633,
    0.007781027512193947,
    0.041945352214570394,
    0.12328034432514207,
    0.13640799210449317,
    0.022790346802821375,
    0.020276940958741663,
    0.02251801887953161,
    0.00973173082848254,
    0.006045681930471475,
    0.006944533275508501,
    0.01451452466801204,
    0.025891391645978114,
    0.0321722524432662,
    0.03780997937747572,
    0.06112829803728839,
    0.02919893152320375,
    0.03150274815054774,
    0.03626175599632037,
    0.03505694297944086,
    0.02425320774782801,
    0.03535621305310708,
    0.05160099046529396,
    0.048255991036225444,
    0.02604147773398135,
    0.010801358093435107,
    0.020421400622093345,
    0.06122137717611061,
    0.07842971215805991,
    0.0565608519800271,
    0.04270832105138448,
    0.044329870943340635,
    0.035181110122071466,
    0.0219953506444034,
    0.012188352491801854,
    0.01244914429324874,
    0.026324729090524072,
    0.030467354997863638,
    0.04868548233936408,
    0.05956989672467037,
    0.06144076732048913,
    0.02963637942728683,
    0.008871227052500447,
    0.009791253066291857,
    0.019581493985126257,
    0.012142010422911662,
    0.01048683305196272,
    0.009967149769815468,
    0.018564633056145627,
    0.01673435866640616,
    0.004620763826507105,
    0.006108902018107811,
    0.007948450117619368,
    0.008458287143594295,
    0.013300908325345634,
    0.025299539524422796,
    0.02904622107778788,
    0.04410294724962196,
    0.02495202440138206,
    0.016746692160481195,
    0.024120171141305883,
    0.04750364541767999,
    0.07083862878235933,
    0.0851068429882392,
    0.13746801850856033,
    0.14981244587705664,
    0.08266089369492076,
    0.030677488802750532,
    0.022401045394773177,
    0.03458174393667207,
    0.06471111629200116,
    0.061815857399483254,
    0.05480431542348065,
    0.04619552036152728,
    0.01871262141737731,
    0.03637489480801313,
    0.028111837204636603,
    0.008245329215840237,
    0.004823636621031208,
    0.002768517197938994,
    0.003354619375291765,
    0.005590613976357732,
    0.006754948112276224,
    0.005955932181054227,
    0.014196266978053837,
    0.02066758569684594,
    0.007077051698607542,
    0.0054403289132950935,
    0.00820863957482446,
    0.009163490129558218,
    0.006675460309295786,
    0.007923802604368563,
    0.02850238654783191,
    0.04862382114290947,
    0.037736626041866665,
    0.022090615551114322,
    0.024513124700014467,
    0.02979117961621791,
    0.030265444172873177,
    0.06201030243222912,
    0.055414620818531025,
    0.023855319453610788,
    0.02933706577758419,
    0.06167857584629149,
    0.03192945419405068,
    0.014264934504449923,
    0.0257904818127045,
    0.013795221292421144,
    0.01137422841525195,
    0.0184186537694945,
    0.03509096601224137,
    0.045759968808844725,
    0.04858346694875374,
    0.09980025946231781,
    0.12746289129359933,
    0.0570537222599162,
    0.0425775645990992,
    0.08018145187999408,
    0.1637760825112387,
    0.16321286249561426,
    0.21826811165889753,
    0.28957938590907856,
    0.10847889876629335,
    0.03313582715883068,
    0.020580851071651547,
    0.03583882527952336,
    0.024205025092033712,
    0.012418449660693056,
    0.02533614463866554,
    0.04792812194265263,
    0.03162783579356506,
    0.049117648398490664,
    0.07582167249135609,
    0.07216370175848555,
    0.0948591902971589,
    0.09912380912867942,
    0.06885824768058994,
    0.045003340654332084,
    0.039221888061115096,
    0.015841394624637458,
    0.01592648366041715,
    0.0174483846238454,
    0.012832585278241285,
    0.014524115126926687,
    0.01907042365030815,
    0.024528832577822752,
    0.03360940354077846,
    0.03406585653159251,
    0.03123872099915724,
    0.010507132694693175,
    0.002797124302827671,
    0.00316644705953604,
    0.006073415383925177,
    0.008993768814294803,
    0.010111115149717565,
    0.013650639366645049,
    0.02496599741801735,
    0.0319471447109734,
    0.016420224014455906,
    0.019738660735478676,
    0.019413683974624146,
    0.011002132763043364,
    0.005620456373541204,
    0.0024169022018367464,
    0.003446505546120035,
    0.00858125753884679,
    0.0181457659991872,
    0.023423808661474314,
    0.02676937726801352,
    0.013520852111155054,
    0.009830201501731346,
    0.018776056397886032,
    0.023327982382114747,
    0.026827135605367702,
    0.05821674127235163,
    0.0680055957037706,
    0.060619265404151024,
    0.06365182028014624,
    0.06180688998304979,
    0.06455630638836475,
    0.05998242130567862,
    0.06135337867363272,
    0.07278520965764067,
    0.05805479820508627,
    0.051076855972315025,
    0.040666804482620895,
    0.0318063169204062,
    0.02124507142668393,
    0.017676661749757964,
    0.029789060096631317,
    0.02495703316657774,
    0.01193548296479765,
    0.00958779609704846,
    0.007590522372944204,
    0.010684204468178965,
    0.013022476340353646,
    0.013002976733477873,
    0.00802027568180389,
    0.009636495048265725,
    0.009084062820233408,
    0.012270659864759255,
    0.024759247254267903,
    0.035907784890637305,
    0.07278680038540014,
    0.12315880246715964,
    0.10329096657472377,
    0.07622150050930274,
    0.09141780206915669,
    0.07563713128159591,
    0.016012050256852064,
    0.009025579618837877,
    0.01072375913918768,
    0.007000177695701974,
    0.0035046569274498163,
    0.005899822674967994,
    0.0142709334605763,
    0.01677155638628412,
    0.021315237549040952,
    0.022074016113891582,
    0.016156462612070013,
    0.010022149357728907,
    0.00638068630624212,
    0.005965669787172339,
    0.012892160462347037,
    0.014499404672763783,
    0.02292380878013035,
    0.036905574537576424,
    0.04460362817125717,
    0.0506641964711975,
    0.060472137228361436,
    0.04414675613128558,
    0.02245959749116159,
    0.023200592215893576,
    0.03142944076042405,
    0.03296896513210843,
    0.023436309050398514,
    0.02279938250497929,
    0.012741086899156885,
    0.014163367850705504,
    0.02582664425394781,
    0.015021551659229842,
    0.009982754025620722,
    0.01751301532783292,
    0.022840955082068546,
    0.013409227130603706,
    0.015818193715287466,
    0.017591400188298544,
    0.02460939479169678,
    0.028419545281909327,
    0.009591860007364821,
    0.004415730928574776,
    0.004987620846160758,
    0.0039026460334132766,
    0.008470749439874269,
    0.01906694541193933,
    0.015409637359632501,
    0.02045736604574258,
    0.034138295515469846,
    0.027762009653431237,
    0.010634159952571038,
    0.006449989352604559,
    0.005874386748747637,
    0.005217143769761546,
    0.006625573012692525,
    0.008736213598898172,
    0.011347553702437379,
    0.00904376990751894,
    0.006695671733891292,
    0.006174921530486551,
    0.008606948233144954,
    0.007290435388333833,
    0.009618621836636636,
    0.022972645369619887,
    0.038041772145764166,
    0.037942938809250974,
    0.06401889979907797,
    0.10513804277891974,
    0.046009804428787805,
    0.013932644793740062,
    0.0073965452173558755,
    0.002782175011812269,
    0.002054088945457045,
    0.0023890366104786106,
    0.003831626498450213,
    0.007960707115646923,
    0.01787647821827132,
    0.05299057272254196,
    0.07825217576974527,
    0.056624923745409075,
    0.045413701680702204,
    0.04855256320331335,
    0.018473973922282602,
    0.01668169638738088,
    0.022637746309028595,
    0.027866658645601297,
    0.02780652721766095,
    0.02323909936125457,
    0.03712696635346875,
    0.03861312235808396,
    0.0152325588825626,
    0.02456357739483377,
    0.061175690819659984,
    0.0451839532126935,
    0.03893532982111683,
    0.07295918961647165,
    0.11816635720938788,
    0.10234262890705359,
    0.07336679504753639,
    0.08846344949043466,
    0.13357905362321654,
    0.19696905083530672,
    0.28173164997009237,
    0.1963154383741472,
    0.12276721868277284,
    0.08460202923073469,
    0.06430961414904887,
    0.08762063369087143,
    0.17965373011343336,
    0.24962559663162287,
    0.23705094064471535,
    0.20782940231612504,
    0.14210905954108685,
    0.1656435430159528,
    0.18089182477759919,
    0.13083386153069673,
    0.09525506023307681,
    0.11230889710273674,
    0.060442227784071226,
    0.03965740440331709,
    0.03583039330399609,
    0.03194409249095577,
    0.03337600437398485,
    0.0312778708811266,
    0.047729462728186324,
    0.03932864455520806,
    0.02022733598395752,
    0.019264955017819534,
    0.013887247027618168,
    0.01200198507445246,
    0.021052054639071196,
    0.02370716062487896,
    0.011777973822436434,
    0.011475855393526736,
    0.02216094666762442,
    0.017687157446336078,
    0.0062905786248873274,
    0.005399030932641667,
    0.009270568101457748,
    0.007003222152533392,
    0.007050849807888881,
    0.008924958155685076,
    0.00857848315568272,
    0.009063431882367311,
    0.007895535411809524,
    0.006310668508738623,
    0.004851467909468447,
    0.0034695839430274665,
    0.010534473943964909,
    0.01449025878039575,
    0.004981596422845855,
    0.004839293945837985,
    0.004032741300007862,
    0.0018370929908863472,
    0.0013050054975201253,
    0.0010437515815927883,
    0.0012432426648429724,
    0.0021780122163451337,
    0.003295698606147659,
    0.00521145034673878,
    0.0074640550353852085,
    0.004095863299458634,
    0.002930368740015891,
    0.002797812722901929,
    0.002250791206542862,
    0.0014684156578314363,
    0.0017069066091989756,
    0.0045814082253540275,
    0.007266866221942239,
    0.004336207683866228,
    0.002963574148200986,
    0.005027946849014539,
    0.006580464576316902,
    0.0021024286417299564,
    0.0020329741988678435,
    0.0014649940506884559,
    0.0006181372900201955,
    0.0006695248967877037,
    0.001236492991531477,
    0.0016467857358495363,
    0.0018898926320482672,
    0.0030000521980145765,
    0.005893076075143128,
    0.006442764637058954,
    0.007906169552525951,
    0.008486225792996174,
    0.006812760558248835,
    0.006714942645988333,
    0.005138072205277697,
    0.0049086228773532175,
    0.008677850999266415,
    0.005533317221368368,
    0.0010200239290097442,
    0.0005489671861916563,
    0.001363096132645163,
    0.002098383293464393,
    0.003381091900579444,
    0.010165234524102156,
    0.025851301204934833,
    0.045588321759652446,
    0.08856255339371448,
    0.14693617784665255,
    0.1803142858338515,
    0.19534497104148169,
    0.2021505037802178,
    0.15437675990406566,
    0.05551803981009169,
    0.03232636631825624,
    0.03244882882639733,
    0.018251394709910756,
    0.011620455917727448,
    0.026027950040211766,
    0.0493375019128508,
    0.033510919212529765,
    0.010717980588149776,
    0.009723694283428386,
    0.015378600238500814,
    0.007244960440231028,
    0.006794434733926821,
    0.005238515200708662,
    0.004365935877634483,
    0.007385312591235202,
    0.019860833668624397,
    0.027327208356099024,
    0.013210980809068624,
    0.011073458202850266,
    0.01223295503318238,
    0.009188578415704304,
    0.00545825519343512,
    0.008748406695319132,
    0.015400648303687262,
    0.01068304800679325,
    0.00855448807149893,
    0.007010355561669786,
    0.005540939631063443,
    0.004495055401624692,
    0.010659270675757282,
    0.021947789127977183,
    0.030757818339583336,
    0.03313961367517204,
    0.03865810249247868,
    0.02956623129099364,
    0.01072426576659845,
    0.0036965827708160797,
    0.0033918354747077255,
    0.004365187133455812,
    0.0033662650737106476,
    0.0045392309205819934,
    0.005182027442186664,
    0.004499242317829275,
    0.007181063470439765,
    0.012808580579172687,
    0.007806271304608684,
    0.01028133823295069,
    0.01941345163046045,
    0.03612280876045414,
    0.07611259886945873,
    0.11912899020694145,
    0.08920865928059747,
    0.10509639203419494,
    0.13588075641172048,
    0.14973487501610977,
    0.14136926411044412,
    0.09326085470015749,
    0.10150560281072261,
    0.05760260092915692,
    0.022653569586635197,
    0.016748596915287038,
    0.020879842770154113,
    0.018151609768253262,
    0.032889183441994464,
    0.12395502875574554,
    0.19582245712247734,
    0.16545365124853587,
    0.10590530387737918,
    0.08059844947186495,
    0.05802930201659058,
    0.06564180698950277,
    0.0757403364708476,
    0.08676279970491847,
    0.05172883006266509,
    0.025893779300740147,
    0.013661698173519983,
    0.007128697540354676,
    0.004262002591464178,
    0.0035803979787153895,
    0.005224512746556669,
    0.012952564526269675,
    0.015230261166006879,
    0.011526940797651136,
    0.007809734618311723,
    0.019790603565454336,
    0.045609405162412416,
    0.0299309264375598,
    0.04473149919782949,
    0.07368359980849032,
    0.030595503467970665,
    0.008627408976546624,
    0.006777312334821121,
    0.006130728012461947,
    0.012822713692609582,
    0.031298186859670236,
    0.033433879845424896,
    0.04579860542664274,
    0.04462561930888742,
    0.0219837287735125,
    0.019148400052526222,
    0.011843737942305475,
    0.00843295597127151,
    0.006952163421345114,
    0.007188118314532097,
    0.011483729988198287,
    0.034058559146044026,
    0.07883083359626727,
    0.136621073757312,
    0.15118160462949995,
    0.09385436139161679,
    0.05332060993394414,
    0.0706143617804648,
    0.07807154786376584,
    0.03929036188454184,
    0.01533882035538458,
    0.005704773713033335,
    0.00831627531990644,
    0.014410633393992218,
    0.011812158426559327,
    0.033819487594832935,
    0.0670109256082789,
    0.06418404887076821,
    0.07302559928722414,
    0.0708322872849713,
    0.09576456085905118,
    0.09285942350948759,
    0.09427662746653787,
    0.08818855452412241,
    0.065431231477927,
    0.0957616096150059,
    0.1219131882919152,
    0.12711315258635694,
    0.12830908899225774,
    0.10887142914015689,
    0.14648396060317087,
    0.19272371272157338,
    0.2514651073984562,
    0.3137231291496298,
    0.4423531454470507,
    0.5,
    0.5178896567889181,
    0.5062356157507004,
    0.46330506119423814,
    0.44595084801452556,
    0.4131054297343207,
    0.3628379407825216,
    0.4303883893157565,
    0.3413908284378155,
    0.20388375722769186,
    0.20725002652799854,
    0.1356842145171495,
    0.040546635541535404,
    0.0186491420646854,
    0.013091811818047399,
    0.017016009324541774,
    0.01909320669392947,
    0.017471835548632852,
    0.0276263811514983,
    0.02981563390933146,
    0.02598291852082798,
    0.04989398619152608,
    0.09868693094578554,
    0.16394801284834964,
    0.20638474173567625,
    0.21446717427794623,
    0.18808189935762332,
    0.14378937949711018,
    0.13181444504921627,
    0.13667371327080485,
    0.1514409506362313,
    0.2903367811101762,
    0.42762260819457076,
    0.44327595790376983,
    0.3549743272545176,
    0.2997979991426419,
    0.19072521395961733,
    0.08763082652832306,
    0.04070471544790444,
    0.025801646412303106,
    0.027161092900541965,
    0.01701861052902322,
    0.022980849535069705,
    0.041204047436456066,
    0.07042614570825773,
    0.14513081389701316,
    0.3339808867029265,
    0.38967202094758724,
    0.3858813687801004,
    0.39073361694780234,
    0.3671851547537584,
    0.41385454327631005,
    0.4222329803251368,
    0.44280609133937077,
    0.4349524786200638,
    0.40808309012985583,
    0.3831753890896137,
    0.27471237831159906,
    0.16720551822163368,
    0.14332929941441586,
    0.11716593270787798,
    0.08707083852524533,
    0.09503044478867369,
    0.1672528954513414,
    0.21690703427831454,
    0.20285816598467818,
    0.14844438070468371,
    0.09938076779688453,
    0.09823232825981647,
    0.1392269983280348,
    0.21255715327790556,
    0.34391216422763876,
    0.308580434346899,
    0.19100350833817192,
    0.19063943753175008,
    0.27380883338066986,
    0.24738286194219172,
    0.1751989978090102,
    0.16974597013991832,
    0.09724542662809378,
    0.09445551832542497,
    0.09111079066106877,
    0.023905553817648754,
    0.018210909173505662,
    0.021958519936971094,
    0.023065342114371112,
    0.037804810726737845,
    0.07846961061472721,
    0.24399976499472,
    0.5,
    0.5218322285672392,
    0.4153330467731102,
    0.24114826314454177,
    0.08882595115030917,
    0.057202750364273414,
    0.06662170950962062,
    0.11698528854683746,
    0.11050607434101142,
    0.08168470760421447,
    0.1089911017581448,
    0.13021302288224698,
    0.13919798127593563,
    0.12620405259591258,
    0.14385265119982651,
    0.11850545390821007,
    0.11714786597280986,
    0.09164462550373503,
    0.09460302448424307,
    0.042135433892385075,
    0.028351350077963227,
    0.01557087372557949,
    0.012206356920389896,
    0.028538254352800132,
    0.022268352726982268,
    0.03824461893321568,
    0.04469137538734098,
    0.03393650281247773,
    0.0815550055656434,
    0.2794984468346939,
    0.24978914624090473,
    0.16688920013647493,
    0.10596704140763895,
    0.09015262182949316,
    0.06905974742633327,
    0.08207372401259877,
    0.15531911960004993,
    0.235551397103583,
    0.2973876201285177,
    0.32243948223360347,
    0.21948371091376187,
    0.09222245512110704,
    0.04208658820856592,
    0.020281418925627053,
    0.015776402273500745,
    0.021172947869525387,
    0.04407837669808784,
    0.1551314518288377,
    0.2837539287685469,
    0.38536968866917043,
    0.34685389699952035,
    0.21817030520991657,
    0.1435216559153289,
    0.11028403418116413,
    0.08411900301998293,
    0.06338685641565515,
    0.047692549812409044,
    0.0508858171186909,
    0.05062947416562118,
    0.0524005510506269,
    0.04280934127572002,
    0.0285198220058439,
    0.03475121172467781,
    0.050063991777369074,
    0.0514324689318827,
    0.02929004335394795,
    0.016703122623516822,
    0.019894701497130046,
    0.04540954016792439,
    0.05818979568408992,
    0.04117023190260691,
    0.04729850315852509,
    0.04015772169086329,
    0.019623055113019913,
    0.018646635522445856,
    0.044364455093159276,
    0.09351115935945509,
    0.10454467288645178,
    0.09010503686770452,
    0.09189195535557118,
    0.0766956951452007,
    0.06783848816070558,
    0.10249564097828814,
    0.15892803599537325,
    0.3115990611190999,
    0.4659694365938477,
    0.5659856864754323,
    0.6065818743762309,
    0.5431969342549314,
    0.5,
    0.4671408014705278,
    0.3626024442674663,
    0.26262508971315285,
    0.24735613812310836,
    0.32849187993196877,
    0.39213411651947117,
    0.40523234359096966,
    0.38624761465429,
    0.35162959760924783,
    0.2752465112134725,
    0.21108016090733273,
    0.16561672833870875,
    0.1052477167851601,
    0.05248670299762099,
    0.042021710009386065,
    0.05333515006914231,
    0.07262341253994573,
    0.07655905765513668,
    0.11807099736148004,
    0.18786154964745805,
    0.28857950202379956,
    0.39671435863542415,
    0.4612860058650196,
    0.40399112147889676,
    0.2614237098302678,
    0.12726444243874394,
    0.059811474541076166,
    0.02477703680096016,
    0.014282381929120954,
    0.008075061177142661,
    0.011589102940338835,
    0.020770626508287683,
    0.04573981906200633,
    0.0879956637535965,
    0.14981910978644655,
    0.18345543245983056,
    0.20474280169529357,
    0.2117443096237081,
    0.18479247806262464,
    0.11170735040074102,
    0.06830489676881273,
    0.04484448623730542,
    0.02793279554758105,
    0.03696670207730641,
    0.07200570911607047,
    0.05763287916501087,
    0.04718736453092692,
    0.07135837237736867,
    0.07465617603730532,
    0.04410396551367038,
    0.024336741182797116,
    0.015186504043273766,
    0.009387837786698905,
    0.008110818883070081,
    0.008180838394652053,
    0.006951128570225513,
    0.00870597709999396,
    0.02191832875783274,
    0.0419217881311677,
    0.035846668177821416,
    0.011254851456022865,
    0.0044445509799787035,
    0.005099675056329273,
    0.006011470166072306,
    0.007933586513360938,
    0.006989673309707267,
    0.007128890121613705,
    0.01807931855974536,
    0.04762094455129347,
    0.061531427438732106,
    0.06102410203250754,
    0.05277752158752427,
    0.0353338098825366,
    0.029162915924528,
    0.025869684575957966,
    0.021261944124187037,
    0.02787739774712224,
    0.022929876948644665,
    0.023448035047492193,
    0.018849068963291464,
    0.014153664208977262,
    0.006272240745525044,
    0.0029391432386023375,
    0.005047230895260041,
    0.005900165869287158,
    0.0035767417451664915,
    0.011193553297413578,
    0.03183483348227489,
    0.02510920749241608,
    0.02057136241307004,
    0.007306970686526907,
    0.008214413733205661,
    0.006977836581708344,
    0.003323803318888155,
    0.0051767957533297914,
    0.010123485860056864,
    0.009325616925123285,
    0.010879532481705268,
    0.013007948757137294,
    0.013017474434230104,
    0.01906563641502343,
    0.04344081755916291,
    0.04435609541508356,
    0.018475561549426256,
    0.007336007652792644,
    0.005587317929073524,
    0.012235793899797096,
    0.020669503694483653,
    0.012416624898075206,
    0.0090288277613052,
    0.013387023957834114,
    0.011749029735337532,
    0.009062379502130787,
    0.008798015848343898,
    0.007334761599857423,
    0.007953977113158968,
    0.01177344632911077,
    0.011814458553136072,
    0.004159922516264781,
    0.002762219766254987,
    0.002081927816630722,
    0.0018931059721150091,
    0.0014702748289201497,
    0.0009712434399822655,
    0.0010115605208255794,
    0.0008293371091281492,
    0.00142412308703673,
    0.0036182922228565123,
    0.004409252205188822,
    0.006128522869954642,
    0.004199219693231781,
    0.0023124602469857375,
    0.00401590277458113,
    0.009827519825739406,
    0.0034561872528906883,
    0.0018125120690745873,
    0.0036909059883460196,
    0.002164441075365283,
    0.0011097783501927295,
    0.0012438633521734833,
    0.0011405241517808236,
    0.001164825526810909,
    0.000838575653191377,
    0.000610069556919375,
    0.0007944803053687533,
    0.0011433781354670963,
    0.0016545645718047813,
    0.0032367764565036333,
    0.0051134432336417904,
    0.004988796876439097,
    0.0025507376469580956,
    0.0014768093374902468,
    0.0015026316210899756,
    0.0014226634554774303,
    0.001338061269483404,
    0.0015313442275073472,
    0.0015864285827882612,
    0.0017930105788583678,
    0.0016212814054295034,
    0.0017913827024889576,
    0.002143053460392981,
    0.0019473564841733099,
    0.0011540539366057395,
    0.0007822580627616218,
    0.0010146440725283036,
    0.0007410114454260791,
    0.0005209002747230076,
    0.0005994033069676951,
    0.001078143333497725,
    0.0016569828023509348,
    0.0024207133141820737,
    0.0036369781620714933,
    0.0033500681445825394,
    0.003916087037068992,
    0.005760376806188562,
    0.007491563663553135,
    0.0037271359866372575,
    0.0032791881698273385,
    0.002835476340830779,
    0.0016619937476635167,
    0.0029572758435310507,
    0.006541855179969071,
    0.009689911319637569,
    0.010961079209026616,
    0.006667723625210319,
    0.005655362727488464,
    0.002502279720666943,
    0.0011171780211391346,
    0.0012858475281637004,
    0.002097275261535348,
    0.003661025177183659,
    0.008028370844712453,
    0.006460127554187715,
    0.00635362404386863,
    0.007849559739715312,
    0.011113386716468408,
    0.005103006138236171,
    0.0026633481378004636,
    0.0018162398642868971,
    0.0037393906918692446,
    0.003323769071747085,
    0.0017337991168358382,
    0.0022787132458197677,
    0.006798620174900432,
    0.01207757203600948,
    0.0073606297698654635,
    0.003484148399042177,
    0.003535957526763127,
    0.0019918360116633243,
    0.0016817993826668664,
    0.0009383539569509185,
    0.0006387366876492712,
    0.000757648258523019,
    0.0008981662682024798,
    0.000840367711780611,
    0.0011799220119757849,
    0.0020859690910690195,
    0.002814354598348986,
    0.004334660044489448,
    0.006243055563085473,
    0.007318115376857408,
    0.006989338341969242,
    0.007434165272700716,
    0.006512521868783581,
    0.006418110164618463,
    0.010934184664659966,
    0.008912083170368353,
    0.004364080686183128,
    0.006833960755075343,
    0.010214512112056848,
    0.006403291442186396,
    0.003837623042838619,
    0.002713507250514304,
    0.0022224344328760238,
    0.0019625644659993593,
    0.002094921246619805,
    0.0019533197531541964,
    0.0014490974307463848,
    0.002060681294514996,
    0.0031156245244995293,
    0.005090134233877691,
    0.005437259089827519,
    0.001808595146035865,
    0.0006015945020588786,
    0.0006058068348359349,
    0.000600220195236318,
    0.0006985891310298447,
    0.0007521229491200787,
    0.0007373365712092784,
    0.001477664572507246,
    0.0024981655441969927,
    0.002961004963375983,
    0.0049600649659244595,
    0.006401877759672419,
    0.0030172659650282937,
    0.0012978512217141902,
    0.0007210996080217535,
    0.0008648919407894074,
    0.0007421427770125194,
    0.0006626990066625362,
    0.0015302262199301142,
    0.002850224178667028,
    0.003943575215275001,
    0.007817815523310356,
    0.014414728703982324,
    0.013782585809921378,
    0.006171773271981637,
    0.007768174409284634,
    0.009048337984758731,
    0.013605444830796915,
    0.017999315124427085,
    0.012311787332089099,
    0.008354535486149676,
    0.005798540982644667,
    0.0037830408403191507,
    0.004450933434771311,
    0.005419939535405301,
    0.00956119840500513,
    0.012945703077700725,
    0.008873961673302577,
    0.009132348226995607,
    0.01822915974466496,
    0.016698093446106014,
    0.014684926952940366,
    0.018290935522816923,
    0.018258016489196924,
    0.02342603709779291,
    0.019845849525269996,
    0.01831755481805846,
    0.02616088334758701,
    0.036200031761774526,
    0.019644122840045252,
    0.009811662045134168,
    0.01754248565796965,
    0.008133534216558908,
    0.003608204786093899,
    0.004111127270344397,
    0.0028021359706545345,
    0.0020340404416895517,
    0.0021410805129069635,
    0.002439120779058238,
    0.0024186273430621937,
    0.004014247885796952,
    0.004508962543113107,
    0.0029227550952151435,
    0.0024747001914349823,
    0.0013228650964107098,
    0.0006988722996058969,
    0.0007667924186067162,
    0.001272040686494864,
    0.0011639296509749046,
    0.0014507728861713962,
    0.010144775583741326,
    0.040384199781967625,
    0.05393430139823668,
    0.0749550593045956,
    0.047667971590569,
    0.009460502318998825,
    0.005040289143454535,
    0.004329401668343062,
    0.001998558327287621,
    0.0010525461761135585,
    0.0011016942994961022,
    0.0027769914345579937,
    0.002689869605493945,
    0.0014797799969645785,
    0.001933335568659444,
    0.004884553070315965,
    0.008179781441142559,
    0.0077445908608850915,
    0.009363698751046751,
    0.013840639536065931,
    0.012984807469397171,
    0.0112832012074891,
    0.011974280584735583,
    0.010252777966459592,
    0.004047100793292468,
    0.0040369868905088665,
    0.003950883910971553,
    0.004246057572327288,
    0.00488039046144502,
    0.0023139371074531686,
    0.0017849107041423252,
    0.0010388376423443402,
    0.0011408840314215594,
    0.0009945379251049594,
    0.0006623350952016055,
    0.0011028923831196383,
    0.0011680319091678295,
    0.002763082802267473,
    0.010949104433664808
  ],
  "agmata": [
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.022583e-07,
    2.725422e-06,
    1.330506e-05,
    2.048111e-05,
    2.102469e-05,
    1.848702e-05,
    7.964554e-06,
    6.776073e-07,
    1.318344e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.60013e-09,
    2.054307e-08,
    5.331319e-08,
    7.903136e-08,
    8.678833e-08,
    7.084539e-08,
    3.807527e-08,
    1.23571e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    5.79122e-09,
    3.733449e-07,
    4.029632e-06,
    8.862909e-06,
    9.470093e-06,
    9.15656e-06,
    5.532336e-06,
    6.787632e-07,
    4.517e-08,
    0.0,
    4.042144e-08,
    2.466224e-07,
    7.309037e-07,
    1.237279e-06,
    1.448024e-06,
    1.286031e-06,
    8.071226e-07,
    2.953745e-07,
    4.420722e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    3.924805e-08,
    2.066806e-07,
    3.644099e-07,
    4.165792e-07,
    3.773311e-07,
    2.098986e-07,
    5.216932e-08,
    0.0,
    0.0,
    0.0,
    2.619918e-08,
    2.496086e-07,
    1.130861e-06,
    2.328814e-06,
    3.082851e-06,
    3.131181e-06,
    2.303279e-06,
    1.105908e-06,
    3.193006e-07,
    4.277985e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.01282e-07,
    2.096994e-06,
    1.415895e-05,
    3.440637e-05,
    4.127038e-05,
    3.987355e-05,
    2.818841e-05,
    7.764195e-06,
    5.486716e-07,
    6.205157e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.181404e-09,
    1.858976e-08,
    4.307415e-08,
    7.888979e-08,
    1.083661e-07,
    1.158802e-07,
    9.683306e-08,
    6.101742e-08,
    2.735975e-08,
    5.437285e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    2.082152e-08,
    1.405534e-07,
    3.792785e-07,
    5.51468e-07,
    5.433118e-07,
    4.235799e-07,
    1.848548e-07,
    1.266533e-08,
    0.0,
    0.0,
    6.825786e-08,
    9.866594e-07,
    1.221822e-05,
    7.58374e-05,
    0.0001803532,
    0.0002218725,
    0.0002138263,
    0.0001528399,
    4.673889e-05,
    2.40129e-06,
    2.87356e-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,
    4.389237e-09,
    9.660961e-08,
    1.014389e-06,
    2.035018e-06,
    2.28397e-06,
    2.207712e-06,
    1.296174e-06,
    2.693042e-07,
    1.596247e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.170279e-08,
    8.774226e-07,
    4.631429e-06,
    5.860877e-06,
    5.834029e-06,
    5.010032e-06,
    1.254134e-06,
    1.485463e-08,
    0.0,
    0.0,
    0.0,
    2.835215e-08,
    1.391659e-06,
    1.671027e-05,
    5.170308e-05,
    6.530598e-05,
    6.648325e-05,
    5.179864e-05,
    1.699505e-05,
    2.696914e-06,
    1.195968e-07,
    0.0,
    0.0,
    0.0,
    1.141998e-08,
    1.129332e-07,
    1.148526e-06,
    5.617643e-06,
    1.512754e-05,
    2.265204e-05,
    2.359917e-05,
    1.949511e-05,
    1.004024e-05,
    2.340262e-06,
    3.17175e-07,
    4.715077e-08,
    4.566879e-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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.468191e-09,
    2.89941e-08,
    7.497005e-08,
    1.179383e-07,
    1.448118e-07,
    1.327427e-07,
    8.676676e-08,
    4.379849e-08,
    1.245678e-08,
    0.0,
    0.0,
    4.041997e-08,
    4.480427e-07,
    1.368363e-06,
    1.886317e-06,
    1.874284e-06,
    1.466662e-06,
    5.513889e-07,
    2.838764e-08,
    0.0,
    0.0,
    5.007171e-07,
    1.41489e-05,
    5.697934e-05,
    6.610959e-05,
    6.575622e-05,
    5.256323e-05,
    9.582361e-06,
    1.198799e-07,
    0.0,
    0.0,
    0.0,
    3.908628e-08,
    3.817442e-06,
    6.500252e-05,
    0.0001809918,
    0.0002451907,
    0.0002548976,
    0.0001990536,
    8.676046e-05,
    2.018444e-05,
    5.984363e-06,
    2.423598e-06,
    6.698726e-07,
    1.259657e-07,
    6.612403e-09,
    0.0,
    0.0,
    0.0,
    1.294898e-07,
    5.043264e-06,
    4.74768e-05,
    0.0001266652,
    0.0001623317,
    0.0001696059,
    0.0001323175,
    5.500396e-05,
    1.754502e-05,
    4.773662e-06,
    8.731799e-07,
    5.973187e-08,
    0.0,
    0.0,
    1.486993e-07,
    5.229875e-06,
    4.92246e-05,
    0.000117394,
    0.0001335844,
    0.0001299201,
    8.727318e-05,
    1.883581e-05,
    1.357601e-06,
    1.296486e-07,
    5.803457e-08,
    1.668178e-07,
    4.622132e-07,
    7.956119e-07,
    1.044183e-06,
    1.384455e-06,
    1.846738e-06,
    1.966889e-06,
    1.759482e-06,
    1.298195e-06,
    5.284415e-07,
    6.856175e-08,
    0.0,
    0.0,
    3.164859e-08,
    3.293164e-06,
    0.0002912737,
    0.009708572,
    0.06307852,
    0.160903,
    0.1988536,
    0.1999117,
    0.160924,
    0.0631292,
    0.01446011,
    0.001655796,
    0.0001028427,
    1.221522e-05,
    9.711417e-07,
    5.987904e-08,
    0.0,
    0.0,
    2.52202e-08,
    5.355556e-06,
    0.0006024545,
    0.02745247,
    0.7557871,
    7.321161,
    10.33098,
    10.44665,
    10.08346,
    4.063015,
    0.2323164,
    0.002175562,
    6.155096e-06,
    0.0,
    0.0,
    7.630354e-07,
    8.187939e-06,
    1.745317e-05,
    2.086996e-05,
    2.078809e-05,
    1.367977e-05,
    4.447905e-06,
    9.541715e-07,
    3.523799e-07,
    3.285955e-07,
    4.85306e-07,
    6.348126e-07,
    6.673661e-07,
    5.554031e-07,
    3.324986e-07,
    1.293958e-07,
    4.638606e-08,
    2.509502e-07,
    3.175439e-06,
    3.348195e-05,
    0.0002789826,
    0.00127558,
    0.005404536,
    0.01165867,
    0.01328438,
    0.01251833,
    0.008493976,
    0.002025321,
    7.455983e-05,
    8.765813e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.331279e-08,
    2.06674e-07,
    1.919574e-06,
    1.147108e-05,
    4.793219e-05,
    0.0001137072,
    0.0001557282,
    0.0001590762,
    0.0001248624,
    5.937691e-05,
    1.480954e-05,
    2.577176e-06,
    1.813646e-06,
    2.759968e-06,
    4.014214e-06,
    4.909786e-06,
    4.502593e-06,
    3.190053e-06,
    1.605973e-06,
    3.198012e-07,
    8.717758e-09,
    0.0,
    1.670585e-07,
    3.648223e-06,
    2.404768e-05,
    8.703201e-05,
    0.0002055565,
    0.0003053176,
    0.0003086613,
    0.0002511444,
    0.0001337824,
    2.425369e-05,
    6.903891e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    2.713222e-07,
    1.274204e-05,
    0.0003031557,
    0.002047394,
    0.003189964,
    0.003331746,
    0.003073874,
    0.001354219,
    0.0001666695,
    3.868568e-06,
    5.636993e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.670509e-08,
    8.856721e-08,
    1.122905e-06,
    1.98178e-05,
    0.0003518432,
    0.005291258,
    0.03356348,
    0.07226229,
    0.0798,
    0.07716527,
    0.05278964,
    0.01039015,
    0.0005056818,
    4.174744e-06,
    5.237755e-09,
    0.0,
    0.0,
    0.0,
    1.361957e-08,
    5.325638e-08,
    9.518873e-08,
    1.333893e-07,
    2.339027e-07,
    1.278365e-06,
    2.28406e-05,
    0.0003876021,
    0.002173536,
    0.003832584,
    0.004085234,
    0.003786751,
    0.002087693,
    0.0003199709,
    7.140025e-06,
    4.116513e-08,
    1.834553e-08,
    2.656058e-07,
    3.537746e-06,
    5.755432e-05,
    0.0006699964,
    0.004753064,
    0.01109081,
    0.01440835,
    0.01439519,
    0.01071584,
    0.004310029,
    0.0005742348,
    2.366147e-05,
    1.846049e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    5.444695e-08,
    2.761515e-06,
    0.000118951,
    0.001507284,
    0.004687514,
    0.007283525,
    0.007797338,
    0.006594935,
    0.003444798,
    0.0007241153,
    4.651378e-05,
    2.168645e-06,
    2.841187e-08,
    8.456766e-08,
    2.903869e-06,
    3.730216e-05,
    0.0001274053,
    0.0001980538,
    0.0002140971,
    0.0001847898,
    9.537536e-05,
    2.260119e-05,
    3.256093e-06,
    9.070008e-07,
    2.798871e-06,
    8.198598e-06,
    1.918299e-05,
    3.02084e-05,
    3.133764e-05,
    2.622849e-05,
    1.519541e-05,
    3.541977e-06,
    2.279312e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    6.545082e-08,
    6.749674e-07,
    4.423174e-06,
    2.333454e-05,
    6.343208e-05,
    0.000106988,
    0.0001086606,
    9.034176e-05,
    5.030254e-05,
    5.472441e-06,
    1.237153e-07,
    0.0,
    0.0,
    8.194979e-08,
    5.771096e-07,
    1.684589e-06,
    2.895975e-06,
    3.057446e-06,
    2.598538e-06,
    1.541381e-06,
    1.598945e-06,
    6.14769e-05,
    0.002075373,
    0.03213358,
    0.1793917,
    0.4474943,
    0.6284681,
    0.6309173,
    0.5159253,
    0.2373053,
    0.02349971,
    0.0004033234,
    2.070186e-06,
    0.0,
    4.556376e-08,
    7.824655e-06,
    0.0001730705,
    0.0005678169,
    0.0006577081,
    0.0006609041,
    0.0005044742,
    0.0001081095,
    1.297678e-05,
    2.887457e-06,
    1.073851e-05,
    3.615413e-05,
    6.596961e-05,
    7.405105e-05,
    6.673662e-05,
    4.141657e-05,
    1.082952e-05,
    1.26639e-06,
    1.252812e-07,
    1.069696e-06,
    2.637273e-05,
    0.0004165135,
    0.003938246,
    0.02078076,
    0.06061202,
    0.08495048,
    0.08761888,
    0.07455496,
    0.03528805,
    0.006600182,
    0.0002466712,
    1.225403e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    1.870178e-07,
    1.055106e-05,
    0.0001955575,
    0.001002677,
    0.001911787,
    0.002237593,
    0.002127941,
    0.001355922,
    0.0004380501,
    7.201791e-05,
    9.720525e-06,
    7.507749e-06,
    1.190163e-05,
    1.645998e-05,
    1.884332e-05,
    1.63679e-05,
    1.1177e-05,
    6.140349e-06,
    2.814122e-06,
    1.425708e-06,
    7.596373e-07,
    4.111355e-07,
    1.514002e-07,
    4.537765e-08,
    6.723125e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    1.854582e-08,
    3.882156e-07,
    5.070511e-06,
    1.862931e-05,
    3.001822e-05,
    3.1705e-05,
    2.721184e-05,
    1.369315e-05,
    2.137032e-06,
    1.966394e-07,
    1.786066e-05,
    0.001350613,
    0.01147653,
    0.02789638,
    0.03150951,
    0.0308037,
    0.02198954,
    0.004714024,
    0.0002795201,
    6.899703e-06,
    6.13834e-08,
    0.0,
    3.495232e-08,
    6.5862e-07,
    4.917939e-06,
    2.019667e-05,
    6.012014e-05,
    0.000194682,
    0.0005322641,
    0.001614189,
    0.002798095,
    0.003115454,
    0.002860516,
    0.001792801,
    0.0005395519,
    5.369959e-05,
    1.525531e-06,
    9.231932e-08,
    4.567957e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    5.585168e-08,
    2.667871e-06,
    0.0001269963,
    0.003810974,
    0.05746044,
    0.3108623,
    0.5610005,
    0.6078151,
    0.5779982,
    0.3533201,
    0.06757455,
    0.003645717,
    6.52606e-05,
    2.062663e-07,
    0.0,
    1.225765e-08,
    3.158138e-07,
    1.717013e-06,
    3.99573e-06,
    6.161856e-06,
    7.764929e-06,
    8.522895e-06,
    8.398182e-06,
    7.977586e-06,
    6.806633e-06,
    4.741994e-06,
    2.587339e-06,
    7.953987e-07,
    6.741134e-08,
    0.0,
    0.0,
    8.952147e-09,
    2.403183e-07,
    3.530693e-06,
    3.987501e-05,
    0.0002313584,
    0.0006225316,
    0.0008754314,
    0.0009016134,
    0.0007257023,
    0.000333474,
    6.486815e-05,
    3.279735e-06,
    6.53515e-08,
    0.0,
    0.0,
    0.0,
    8.132793e-08,
    3.873995e-05,
    0.002115137,
    0.01589517,
    0.02440597,
    0.02539671,
    0.0237482,
    0.01062386,
    0.001287848,
    7.226475e-05,
    1.904761e-06,
    1.746088e-08,
    0.0,
    4.148979e-09,
    3.960963e-07,
    8.015928e-06,
    5.095675e-05,
    9.308182e-05,
    9.962521e-05,
    9.259833e-05,
    5.040136e-05,
    7.408326e-06,
    2.051599e-07,
    0.0,
    9.164916e-07,
    0.0001144681,
    0.003790141,
    0.02055555,
    0.03646621,
    0.03917935,
    0.03671317,
    0.0213024,
    0.003620274,
    0.0001741124,
    1.516648e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    3.041391e-07,
    5.370743e-05,
    0.002796322,
    0.03126551,
    0.07371982,
    0.08129381,
    0.07941336,
    0.05320984,
    0.009288309,
    0.0003170795,
    2.413992e-06,
    0.0,
    0.0,
    0.0,
    1.100712e-07,
    8.799273e-06,
    0.0004444308,
    0.01092822,
    0.09905102,
    0.3715001,
    0.6440963,
    0.6768735,
    0.6083419,
    0.3502667,
    0.05550854,
    0.002380503,
    3.18598e-05,
    3.132413e-07,
    8.475892e-08,
    2.718932e-06,
    3.27768e-05,
    0.0001045415,
    0.0001641315,
    0.0001851385,
    0.0001617294,
    9.301033e-05,
    3.672005e-05,
    3.368868e-05,
    0.0001821068,
    0.0007181771,
    0.001387082,
    0.001690188,
    0.001580545,
    0.001065632,
    0.0003764664,
    3.356877e-05,
    1.134666e-06,
    3.717406e-08,
    5.490471e-07,
    1.375602e-05,
    0.0003111544,
    0.003142473,
    0.01397253,
    0.0269865,
    0.03034942,
    0.02827101,
    0.01803356,
    0.004216415,
    0.0002302624,
    3.681934e-06,
    5.863771e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    2.228887e-07,
    1.908474e-05,
    0.0009078672,
    0.02099749,
    0.0984555,
    0.1300107,
    0.1317102,
    0.115052,
    0.03831601,
    0.003013204,
    4.107773e-05,
    2.787162e-07,
    3.994819e-07,
    5.626945e-06,
    1.645762e-05,
    1.873535e-05,
    1.84111e-05,
    1.325182e-05,
    2.383825e-06,
    4.681343e-08,
    0.0,
    0.0,
    1.82745e-07,
    2.864989e-06,
    1.586657e-05,
    3.249e-05,
    3.987978e-05,
    3.855249e-05,
    2.591586e-05,
    9.13055e-06,
    1.302761e-06,
    5.249008e-08,
    0.0,
    0.0,
    3.754808e-08,
    2.794159e-06,
    5.98354e-05,
    0.0006119476,
    0.001734083,
    0.002632846,
    0.002833458,
    0.002341094,
    0.001225074,
    0.0002857438,
    1.616962e-05,
    4.073925e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.209459e-09,
    1.515993e-06,
    0.0001542735,
    0.005365213,
    0.09331017,
    0.3952006,
    0.4841493,
    0.4821916,
    0.4119869,
    0.1019359,
    0.001087466,
    1.562282e-06,
    0.0,
    0.0,
    0.0,
    2.391897e-08,
    2.1535e-06,
    1.490808e-05,
    2.585812e-05,
    2.982117e-05,
    2.87161e-05,
    1.645841e-05,
    5.771588e-06,
    2.280318e-06,
    2.130211e-06,
    2.320059e-06,
    2.025496e-06,
    1.4239e-06,
    5.697915e-07,
    5.370157e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    1.161864e-08,
    4.690998e-06,
    0.0003766492,
    0.005283241,
    0.01120397,
    0.01236407,
    0.01212893,
    0.007535652,
    0.001389265,
    7.252466e-05,
    8.115125e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    7.190678e-08,
    3.615952e-05,
    0.008124988,
    0.4005917,
    2.73851,
    3.993613,
    4.034075,
    3.77966,
    1.527611,
    0.07849091,
    0.0008110902,
    3.219559e-06,
    0.0,
    0.0,
    0.0,
    1.672594e-07,
    1.592601e-05,
    0.0002028993,
    0.0005452254,
    0.0006144577,
    0.0006045875,
    0.0004256863,
    8.053996e-05,
    5.259031e-06,
    2.469362e-06,
    2.384025e-05,
    8.706307e-05,
    0.0001542158,
    0.0001821916,
    0.0001687905,
    0.0001084035,
    3.938026e-05,
    8.067981e-06,
    8.406217e-07,
    4.635185e-08,
    0.0,
    3.185087e-07,
    7.690712e-06,
    6.910434e-05,
    0.0002159221,
    0.0004190545,
    0.0007519316,
    0.001629553,
    0.004663716,
    0.007056164,
    0.006911163,
    0.006044356,
    0.002904277,
    0.0001869791,
    2.492526e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.196132e-08,
    2.994428e-07,
    2.45391e-06,
    2.803877e-05,
    0.0003892933,
    0.002666878,
    0.009767933,
    0.0127688,
    0.01269289,
    0.01064723,
    0.00352661,
    0.0002563982,
    5.21238e-06,
    5.770763e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.373993e-08,
    2.522736e-06,
    3.187013e-05,
    7.338597e-05,
    7.700503e-05,
    7.469934e-05,
    4.583936e-05,
    3.837252e-06,
    3.932145e-08,
    0.0,
    0.0,
    1.060799e-08,
    8.108186e-06,
    0.0009263214,
    0.01145817,
    0.03557435,
    0.04808817,
    0.04894616,
    0.0407091,
    0.01626211,
    0.00187705,
    5.585794e-05,
    3.582584e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.32634e-07,
    1.845024e-05,
    0.0005025679,
    0.00268639,
    0.003931277,
    0.003979072,
    0.003544641,
    0.001399621,
    7.676625e-05,
    9.705891e-07,
    0.0,
    0.0,
    0.0,
    7.15443e-07,
    2.048195e-05,
    7.633237e-05,
    0.000102499,
    0.0001042108,
    8.517549e-05,
    2.957964e-05,
    2.532662e-06,
    4.639251e-08,
    0.0,
    0.0,
    0.0,
    5.846318e-08,
    1.224965e-06,
    5.815281e-06,
    9.040786e-06,
    9.465068e-06,
    8.367306e-06,
    3.78766e-06,
    5.270064e-07,
    3.579041e-08,
    0.0,
    9.940169e-09,
    3.582064e-07,
    9.915199e-06,
    0.000262844,
    0.002552972,
    0.006129007,
    0.006884858,
    0.006709701,
    0.004555027,
    0.0008947246,
    4.899893e-05,
    1.180376e-06,
    4.249208e-09,
    0.0,
    0.0,
    0.0,
    2.549356e-08,
    3.048452e-07,
    8.966153e-06,
    0.0004201841,
    0.01315062,
    0.2357002,
    1.025212,
    1.194833,
    1.189802,
    1.016569,
    0.2053172,
    0.002770144,
    1.039326e-05,
    0.0,
    0.0,
    0.0,
    2.369352e-08,
    7.146839e-07,
    2.657382e-06,
    5.522761e-06,
    1.396324e-05,
    4.089435e-05,
    0.0002032873,
    0.0004649024,
    0.0005197616,
    0.0005015643,
    0.000339953,
    7.507821e-05,
    9.818727e-06,
    1.551824e-06,
    4.986424e-07,
    2.091598e-07,
    6.24885e-08,
    8.58291e-09,
    0.0,
    8.579181e-08,
    9.825105e-07,
    1.181657e-05,
    0.0001400826,
    0.001470849,
    0.01429596,
    0.04119214,
    0.05636635,
    0.05696303,
    0.04612469,
    0.0191441,
    0.001955226,
    3.755783e-05,
    2.575928e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.657299e-08,
    2.44985e-07,
    1.895574e-06,
    5.367163e-06,
    7.968713e-06,
    8.148052e-06,
    6.542262e-06,
    3.077376e-06,
    4.334797e-07,
    2.361109e-08,
    5.282564e-08,
    1.851929e-06,
    2.149835e-05,
    6.975729e-05,
    7.720985e-05,
    7.557012e-05,
    5.630773e-05,
    7.743436e-06,
    7.009359e-08,
    0.0,
    0.0,
    0.0,
    3.552198e-08,
    7.003031e-07,
    3.205176e-06,
    4.061425e-06,
    4.030277e-06,
    3.371052e-06,
    8.664704e-07,
    4.374533e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.247347e-08,
    3.972118e-07,
    1.719648e-06,
    3.838536e-06,
    6.74402e-06,
    9.551743e-06,
    9.591935e-06,
    7.661727e-06,
    4.741279e-06,
    1.506138e-06,
    1.530295e-07,
    0.0,
    4.238322e-08,
    1.193801e-06,
    9.568181e-06,
    2.400258e-05,
    3.687214e-05,
    4.385643e-05,
    4.306372e-05,
    3.964248e-05,
    5.179909e-05,
    0.0001377397,
    0.0005453722,
    0.002201435,
    0.004166076,
    0.004257355,
    0.003887421,
    0.002264947,
    0.000195261,
    2.391986e-06,
    0.0,
    0.0,
    1.027106e-08,
    6.141824e-07,
    2.1717e-05,
    0.0002574924,
    0.0009798037,
    0.001190153,
    0.001181475,
    0.0009616648,
    0.0002374148,
    1.149373e-05,
    1.215418e-07,
    0.0,
    0.0,
    0.0,
    3.667149e-08,
    3.930678e-07,
    1.661234e-06,
    3.622637e-06,
    7.128722e-06,
    1.481067e-05,
    2.908339e-05,
    5.029566e-05,
    6.557656e-05,
    6.67389e-05,
    5.843664e-05,
    4.340245e-05,
    3.588038e-05,
    4.603064e-05,
    6.441351e-05,
    7.644139e-05,
    7.356569e-05,
    5.560801e-05,
    3.004519e-05,
    9.730596e-06,
    1.165023e-06,
    1.995745e-08,
    0.0,
    6.583561e-06,
    0.002338694,
    0.1823027,
    0.4235434,
    0.4375408,
    0.4360946,
    0.2677717,
    0.01846689,
    0.0004127721,
    2.536243e-06,
    0.0,
    0.0,
    1.314464e-07,
    1.37797e-06,
    6.989086e-06,
    2.515825e-05,
    9.357646e-05,
    0.0003169665,
    0.0006570078,
    0.0009228047,
    0.00105352,
    0.0009773177,
    0.0007198054,
    0.0004610884,
    0.0002670009,
    0.0001224794,
    3.403252e-05,
    5.527074e-06,
    9.436824e-07,
    1.882821e-06,
    9.848925e-06,
    4.586417e-05,
    0.0001162232,
    0.000147203,
    0.0001409961,
    0.0001061527,
    3.517745e-05,
    1.324518e-06,
    0.0,
    0.0,
    0.0,
    1.01039e-07,
    3.847002e-06,
    1.990643e-05,
    2.35108e-05,
    2.359764e-05,
    1.991636e-05,
    3.861454e-06,
    2.147068e-07,
    1.238836e-07,
    3.725982e-07,
    6.444479e-07,
    9.275089e-07,
    1.347196e-06,
    2.526517e-06,
    8.029701e-06,
    2.142166e-05,
    3.834445e-05,
    4.439351e-05,
    3.92651e-05,
    2.578677e-05,
    8.121158e-06,
    4.638134e-07,
    0.0,
    0.0,
    1.527091e-07,
    1.502608e-06,
    2.270216e-06,
    2.330783e-06,
    2.178074e-06,
    8.281755e-07,
    6.056721e-08,
    0.0,
    0.0,
    0.0,
    4.369705e-07,
    1.508218e-05,
    0.0001994716,
    0.001016117,
    0.001797647,
    0.001907045,
    0.00174478,
    0.0009455544,
    0.0001364515,
    4.113767e-06,
    8.096911e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.983605e-08,
    5.055405e-07,
    4.843041e-06,
    2.175348e-05,
    7.072079e-05,
    0.0001464313,
    0.0001962416,
    0.0002002972,
    0.0001558901,
    7.982237e-05,
    2.434529e-05,
    3.559201e-06,
    2.729891e-07,
    2.662899e-08,
    3.222231e-07,
    3.043886e-06,
    1.490805e-05,
    2.828131e-05,
    3.174899e-05,
    2.974357e-05,
    1.803783e-05,
    4.561028e-06,
    6.717033e-07,
    3.928487e-08,
    0.0,
    0.0,
    0.0,
    3.759513e-08,
    1.803129e-07,
    8.440109e-07,
    2.601125e-06,
    4.831795e-06,
    8.271558e-06,
    1.098439e-05,
    1.066747e-05,
    8.594277e-06,
    5.044351e-06,
    1.607214e-06,
    1.861636e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    6.367068e-08,
    1.174258e-06,
    5.319732e-06,
    7.634474e-06,
    7.826348e-06,
    6.753855e-06,
    2.623875e-06,
    2.757067e-07,
    6.53655e-08,
    7.155913e-07,
    4.460475e-06,
    1.509771e-05,
    3.145036e-05,
    3.911615e-05,
    3.726361e-05,
    2.688525e-05,
    1.043096e-05,
    1.81615e-06,
    6.362247e-08,
    0.0,
    0.0,
    2.535587e-08,
    2.35106e-07,
    9.733003e-07,
    1.704307e-06,
    1.819021e-06,
    1.625047e-06,
    8.910552e-07,
    1.558461e-07,
    1.57764e-08,
    3.223085e-08,
    1.307077e-07,
    5.124539e-07,
    1.845024e-06,
    5.479094e-06,
    8.968886e-06,
    1.002774e-05,
    8.786108e-06,
    5.111368e-06,
    1.504609e-06,
    1.816175e-07,
    9.920661e-06,
    0.0003784211,
    0.00414524,
    0.0175629,
    0.03742705,
    0.04797779,
    0.04988981,
    0.03880303,
    0.01916159,
    0.007630443,
    0.00234554,
    0.001963198,
    0.003001861,
    0.00300251,
    0.002639378,
    0.001683043,
    0.0002782507,
    7.045891e-06,
    5.784192e-08,
    0.0,
    2.306161e-08,
    2.858896e-07,
    2.372513e-06,
    1.709991e-05,
    4.983967e-05,
    8.956256e-05,
    0.000109902,
    0.0001012441,
    7.000926e-05,
    2.950576e-05,
    6.463542e-06,
    9.093882e-07,
    7.58544e-08,
    0.0,
    2.368974e-07,
    8.966578e-06,
    0.0001378241,
    0.0003993748,
    0.0004687878,
    0.0004706914,
    0.0003466977,
    8.701323e-05,
    1.211407e-05,
    1.112609e-06,
    2.804287e-07,
    1.061663e-06,
    8.430812e-06,
    4.017337e-05,
    0.000114014,
    0.000216249,
    0.0003026966,
    0.0003172144,
    0.0002533422,
    0.0001513374,
    5.531127e-05,
    8.760093e-06,
    7.401822e-07,
    4.058464e-08,
    0.0,
    0.0,
    6.472627e-08,
    7.405549e-06,
    0.0001595777,
    0.0004168339,
    0.0004491849,
    0.0004433198,
    0.0002942627,
    3.499077e-05,
    1.032942e-06,
    4.22647e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    1.10951e-07,
    4.070642e-06,
    6.855363e-05,
    0.0003217832,
    0.000476302,
    0.0004874711,
    0.0004267775,
    0.000178374,
    1.688142e-05,
    5.4935e-07,
    8.452185e-07,
    1.668278e-05,
    0.0001076929,
    0.0002160573,
    0.0002401796,
    0.0002272502,
    0.0001379931,
    2.826798e-05,
    2.274103e-06,
    2.865133e-07,
    1.109938e-06,
    1.739391e-05,
    0.0002937816,
    0.002587893,
    0.008558208,
    0.01295822,
    0.01362329,
    0.01171979,
    0.005945562,
    0.001221037,
    0.0001655027,
    1.82877e-05,
    3.626027e-06,
    8.703759e-07,
    2.020261e-07,
    5.471333e-07,
    1.415822e-05,
    0.0002960225,
    0.003857948,
    0.02341878,
    0.06578688,
    0.1108005,
    0.1241038,
    0.1102321,
    0.07095979,
    0.02135624,
    0.002332287,
    0.0001066768,
    2.195786e-06,
    1.184923e-07,
    2.973511e-06,
    6.752127e-05,
    0.0007226518,
    0.001724968,
    0.002015708,
    0.00197337,
    0.001355023,
    0.0003323782,
    1.446662e-05,
    1.339428e-07,
    0.0,
    0.0,
    7.312558e-07,
    6.565554e-05,
    0.003518375,
    0.05025513,
    0.1333258,
    0.1407383,
    0.1387427,
    0.09795094,
    0.00935636,
    7.938952e-05,
    1.238976e-07,
    0.0,
    7.975635e-08,
    9.452949e-06,
    0.0003101034,
    0.002368686,
    0.004873887,
    0.005316823,
    0.005079248,
    0.003124853,
    0.0005531046,
    3.578223e-05,
    1.567963e-06,
    2.27192e-07,
    1.172458e-06,
    5.085259e-06,
    1.239434e-05,
    1.53633e-05,
    1.490498e-05,
    1.108479e-05,
    3.720965e-06,
    5.938536e-07,
    6.254813e-08,
    0.0,
    9.914273e-09,
    5.095715e-08,
    1.530718e-07,
    2.714899e-07,
    3.588759e-07,
    3.922026e-07,
    3.792604e-07,
    3.829249e-07,
    6.752685e-07,
    2.172924e-06,
    6.791629e-06,
    1.655324e-05,
    3.358407e-05,
    5.511104e-05,
    7.604834e-05,
    7.820211e-05,
    6.245374e-05,
    3.967574e-05,
    1.35172e-05,
    1.422687e-06,
    8.297421e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.515566e-08,
    1.081253e-06,
    1.75898e-05,
    6.26763e-05,
    8.041596e-05,
    8.190344e-05,
    6.616822e-05,
    2.092414e-05,
    2.829691e-06,
    3.602432e-07,
    1.623597e-07,
    1.067185e-07,
    4.617715e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    3.626736e-07,
    9.895814e-06,
    0.0001045727,
    0.0003225005,
    0.0003605669,
    0.0003527084,
    0.0002613887,
    4.145063e-05,
    1.032802e-06,
    6.266774e-09,
    0.0,
    0.0,
    4.508939e-09,
    2.700725e-07,
    1.894196e-06,
    3.75611e-06,
    4.392842e-06,
    4.252546e-06,
    2.667509e-06,
    8.022815e-07,
    1.530746e-07,
    2.780624e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.463587e-08,
    6.273578e-07,
    3.610082e-06,
    6.164425e-06,
    6.773267e-06,
    6.30936e-06,
    3.378525e-06,
    8.285989e-07,
    2.17834e-07,
    1.867034e-07,
    5.522157e-07,
    2.29084e-06,
    6.028839e-06,
    1.023774e-05,
    1.158698e-05,
    1.01223e-05,
    6.455991e-06,
    2.096484e-06,
    3.388513e-07,
    5.804776e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.080128e-08,
    1.080128e-08,
    1.080128e-08,
    1.080128e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.152749e-08,
    1.437369e-07,
    1.364572e-06,
    6.013533e-06,
    1.603407e-05,
    2.376305e-05,
    2.423884e-05,
    1.989662e-05,
    9.939975e-06,
    1.997488e-06,
    3.352806e-07,
    1.330921e-06,
    2.900056e-05,
    0.0004501876,
    0.001624288,
    0.002502298,
    0.002685927,
    0.00232749,
    0.001189476,
    0.0002888344,
    6.90496e-05,
    3.464992e-05,
    2.38458e-05,
    1.625517e-05,
    8.477909e-06,
    2.704108e-06,
    6.306174e-07,
    5.832296e-08,
    0.0,
    0.0,
    1.548532e-08,
    7.273744e-07,
    1.057746e-05,
    2.7653e-05,
    3.178146e-05,
    3.125899e-05,
    2.157304e-05,
    4.446134e-06,
    1.714644e-07,
    0.0,
    0.0,
    1.096392e-08,
    3.315734e-07,
    6.458154e-06,
    8.631461e-05,
    0.0004223665,
    0.000859168,
    0.0009726553,
    0.0009086855,
    0.0005825955,
    0.0001360702,
    8.65932e-06,
    3.805367e-07,
    2.083007e-06,
    1.25964e-05,
    2.541408e-05,
    3.15161e-05,
    3.048681e-05,
    2.010989e-05,
    7.291568e-06,
    9.216145e-07,
    3.345299e-08,
    0.0,
    0.0,
    2.168641e-08,
    1.791109e-06,
    2.797378e-05,
    0.0001369381,
    0.0002815687,
    0.0003701837,
    0.000385102,
    0.0002892815,
    0.0001469083,
    5.194693e-05,
    1.065368e-05,
    1.352997e-06,
    5.882668e-08,
    0.0,
    9.713132e-09,
    8.509461e-07,
    2.521016e-05,
    0.000344968,
    0.001322176,
    0.0018305,
    0.001865408,
    0.001571892,
    0.0006008167,
    6.519157e-05,
    3.466599e-06,
    5.044398e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    8.515061e-07,
    2.531465e-05,
    0.0001579307,
    0.0003106017,
    0.0003524346,
    0.0003374967,
    0.0002102831,
    5.587121e-05,
    9.954613e-06,
    1.232752e-06,
    1.004597e-07,
    1.037818e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    1.057557e-08,
    8.103804e-08,
    5.327972e-07,
    1.609517e-06,
    3.089413e-06,
    4.298256e-06,
    4.979458e-06,
    6.961837e-06,
    3.308357e-05,
    0.0002689394,
    0.002998075,
    0.02450363,
    0.08974364,
    0.188308,
    0.2181551,
    0.2065518,
    0.14852,
    0.04284587,
    0.003781893,
    0.0001067561,
    1.866221e-06,
    5.70919e-08,
    5.276619e-07,
    2.171046e-05,
    0.0003417266,
    0.001008578,
    0.001213458,
    0.001216807,
    0.000915052,
    0.0002479782,
    3.227932e-05,
    9.468646e-06,
    1.806735e-05,
    5.25742e-05,
    0.0001741815,
    0.0003940391,
    0.0005039397,
    0.0004964132,
    0.0003802668,
    0.0001550567,
    2.931391e-05,
    4.014906e-06,
    6.658291e-07,
    3.898677e-07,
    1.272981e-06,
    8.433113e-06,
    3.601144e-05,
    5.27976e-05,
    5.30201e-05,
    4.60089e-05,
    1.842972e-05,
    1.182231e-06,
    5.672523e-09,
    0.0,
    2.85545e-07,
    1.580467e-05,
    0.000205011,
    0.0005936895,
    0.0007506196,
    0.0007545949,
    0.0005761634,
    0.0001895422,
    2.159376e-05,
    1.899035e-06,
    2.125827e-07,
    2.874559e-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,
    2.216792e-08,
    1.750333e-07,
    4.341178e-07,
    4.786157e-07,
    4.564478e-07,
    3.035824e-07,
    4.449786e-08,
    3.672051e-08,
    8.860711e-07,
    5.465305e-06,
    1.484605e-05,
    2.456584e-05,
    2.779496e-05,
    2.416049e-05,
    1.509487e-05,
    5.48101e-06,
    1.381546e-06,
    6.091625e-07,
    3.271548e-07,
    1.2132e-07,
    4.622969e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    1.046789e-08,
    1.999519e-06,
    2.803308e-05,
    7.1418e-05,
    8.110309e-05,
    7.972129e-05,
    5.420801e-05,
    1.060461e-05,
    5.777674e-07,
    7.474335e-09,
    0.0,
    1.540928e-07,
    1.459381e-05,
    0.0003964366,
    0.001077068,
    0.001226631,
    0.001230284,
    0.0008651157,
    0.0001789256,
    2.061568e-05,
    1.240283e-06,
    9.192799e-08,
    7.068547e-08,
    3.836253e-07,
    1.261208e-06,
    1.901086e-06,
    2.117905e-06,
    1.98551e-06,
    1.240133e-06,
    6.525448e-07,
    4.216594e-07,
    2.589948e-07,
    1.528717e-07,
    1.055858e-07,
    6.623112e-08,
    3.108645e-08,
    6.139095e-08,
    3.684705e-07,
    1.710781e-06,
    2.827647e-06,
    3.258424e-06,
    3.058666e-06,
    1.745699e-06,
    6.269249e-07,
    1.406668e-07,
    2.188628e-08,
    2.539057e-08,
    1.293341e-07,
    5.368857e-07,
    1.793071e-06,
    3.328389e-06,
    4.020757e-06,
    3.811323e-06,
    2.579082e-06,
    1.012037e-06,
    2.157248e-07,
    2.199952e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.836437e-08,
    5.045112e-08,
    6.767863e-08,
    7.826105e-08,
    5.989668e-08,
    3.198186e-08,
    3.300837e-08,
    6.366903e-08,
    2.203808e-07,
    6.740993e-07,
    9.354684e-07,
    9.433309e-07,
    7.866191e-07,
    3.287287e-07,
    4.910557e-08,
    0.0,
    4.394048e-09,
    2.011648e-08,
    2.524354e-08,
    2.524354e-08,
    2.084949e-08,
    5.127059e-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,
    1.565564e-08,
    9.022569e-08,
    3.348687e-07,
    7.346671e-07,
    1.285055e-06,
    2.416793e-06,
    5.576403e-06,
    1.951117e-05,
    3.971989e-05,
    5.433485e-05,
    5.859965e-05,
    4.596772e-05,
    2.551905e-05,
    9.411007e-06,
    1.711555e-06,
    2.639522e-07,
    1.370093e-08,
    0.0,
    0.0,
    0.0,
    5.283284e-08,
    9.93255e-07,
    8.577845e-06,
    2.678577e-05,
    5.040872e-05,
    8.845615e-05,
    0.0001984181,
    0.0007637391,
    0.004075805,
    0.010127,
    0.01191709,
    0.01161159,
    0.008582882,
    0.00231709,
    0.0002133243,
    1.056589e-05,
    2.179757e-07,
    9.210921e-09,
    3.625772e-08,
    2.873046e-07,
    3.295861e-06,
    2.263704e-05,
    0.0001472811,
    0.000451251,
    0.0005679241,
    0.0005736698,
    0.0004548398,
    0.0001525572,
    2.585691e-05,
    9.778851e-07,
    3.305934e-08,
    1.00023e-08,
    8.475377e-08,
    4.572721e-07,
    1.6973e-06,
    4.562487e-06,
    5.807546e-06,
    5.568348e-06,
    4.342792e-06,
    1.456195e-06,
    1.279498e-07,
    0.0,
    3.714083e-07,
    8.230915e-06,
    9.17671e-05,
    0.0003547447,
    0.0005919983,
    0.0006933349,
    0.0006358007,
    0.0003828956,
    0.0001392379,
    2.374999e-05,
    1.93378e-06,
    8.839231e-08,
    1.519624e-08,
    1.784205e-07,
    9.092089e-07,
    1.370275e-06,
    1.434209e-06,
    1.270985e-06,
    5.401964e-07,
    7.913069e-08,
    0.0,
    0.0,
    1.265085e-07,
    2.246626e-06,
    1.889177e-05,
    5.3074e-05,
    7.595886e-05,
    7.682841e-05,
    6.081154e-05,
    2.668067e-05,
    3.144687e-06,
    1.153508e-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,
    5.14086e-08,
    9.334929e-07,
    4.7605e-06,
    1.502674e-05,
    2.735298e-05,
    3.306893e-05,
    3.07606e-05,
    2.078792e-05,
    8.386433e-06,
    1.638089e-06,
    1.495171e-07,
    0.0,
    0.0,
    0.0,
    5.206563e-08,
    1.476288e-06,
    1.419934e-05,
    3.886199e-05,
    4.916086e-05,
    4.904003e-05,
    3.670558e-05,
    1.217707e-05,
    1.417362e-06,
    1.596255e-07,
    2.887474e-07,
    1.590745e-06,
    6.221978e-06,
    1.941828e-05,
    3.933532e-05,
    6.367723e-05,
    7.821793e-05,
    7.581022e-05,
    6.09206e-05,
    3.706e-05,
    1.810218e-05,
    7.265385e-06,
    2.14894e-06,
    4.579397e-07,
    6.895977e-08,
    9.597421e-09,
    3.36586e-08,
    7.244602e-08,
    1.125684e-07,
    1.3857e-07,
    1.200578e-07,
    9.9112e-08,
    6.859865e-08,
    4.259704e-08,
    2.745069e-08,
    9.609027e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.158834e-08,
    1.957713e-07,
    3.391799e-07,
    3.985136e-07,
    3.685351e-07,
    2.349962e-07,
    1.230819e-07,
    1.577525e-07,
    2.837819e-07,
    3.803558e-07,
    3.66844e-07,
    2.728399e-07,
    1.252006e-07,
    1.798261e-08,
    0.0,
    0.0,
    0.0,
    4.429963e-08,
    4.800052e-07,
    1.577312e-06,
    2.363268e-06,
    2.370725e-06,
    1.940096e-06,
    8.421337e-07,
    5.175703e-08,
    0.0,
    0.0,
    0.0,
    7.3239e-08,
    2.685008e-06,
    3.150402e-05,
    9.104179e-05,
    0.0001200212,
    0.00012219,
    9.496282e-05,
    3.559459e-05,
    5.561571e-06,
    7.455453e-07,
    2.855759e-07,
    2.631496e-07,
    3.182658e-07,
    3.465791e-07,
    3.217456e-07,
    2.748519e-07,
    1.769868e-07,
    1.020311e-07,
    9.375453e-08,
    2.360966e-07,
    1.209575e-06,
    4.704478e-06,
    1.325721e-05,
    2.866289e-05,
    5.483924e-05,
    0.0001521703,
    0.0005443858,
    0.001070313,
    0.001237115,
    0.00115931,
    0.0007693947,
    0.0002167242,
    1.628466e-05,
    2.87728e-06,
    4.227085e-05,
    0.0002742658,
    0.0004487528,
    0.0004887271,
    0.000457205,
    0.0002302497,
    5.210231e-05,
    7.433733e-06,
    7.306693e-07,
    1.302676e-07,
    2.759339e-08,
    1.655821e-08,
    8.63129e-08,
    7.055565e-07,
    3.133178e-06,
    8.556575e-06,
    1.353989e-05,
    1.467553e-05,
    1.302717e-05,
    7.82069e-06,
    2.862854e-06,
    1.181955e-06,
    5.26899e-07,
    3.562792e-07,
    2.362185e-07,
    1.23415e-07,
    5.728783e-08,
    1.567478e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    4.649166e-08,
    3.486816e-07,
    1.414174e-06,
    2.414248e-06,
    2.587823e-06,
    2.31869e-06,
    1.259176e-06,
    2.531234e-07,
    3.305686e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.70904e-08,
    5.399955e-07,
    1.738149e-06,
    2.173482e-06,
    2.193974e-06,
    1.695295e-06,
    4.975318e-07,
    5.758209e-08,
    0.0,
    0.0,
    2.02389e-08,
    7.382133e-08,
    1.575116e-07,
    2.363524e-07,
    2.474846e-07,
    1.939022e-07,
    1.102119e-07,
    3.137112e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    1.944155e-08,
    1.530524e-07,
    8.8354e-07,
    3.494719e-06,
    5.93874e-06,
    7.068732e-06,
    6.688938e-06,
    4.202569e-06,
    1.725371e-06,
    4.453919e-07,
    1.045674e-07,
    9.037228e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.872552e-07,
    3.541914e-05,
    0.0009476628,
    0.008797689,
    0.03504991,
    0.07173563,
    0.09279462,
    0.08874324,
    0.06489927,
    0.02822125,
    0.002975498,
    9.705376e-05,
    1.747469e-06,
    1.810944e-08,
    5.769086e-08,
    3.533135e-07,
    5.472246e-07,
    5.882444e-07,
    5.305535e-07,
    2.349308e-07,
    4.101976e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.706653e-08,
    2.459514e-07,
    4.563603e-07,
    5.109662e-07,
    4.738997e-07,
    2.650148e-07,
    5.460594e-08,
    4.36683e-09,
    2.342888e-08,
    3.93974e-08,
    3.93974e-08,
    3.503057e-08,
    3.596546e-08,
    2.792203e-07,
    4.26615e-06,
    7.581869e-05,
    0.0003745804,
    0.0005540934,
    0.0005740828,
    0.0005089132,
    0.0002151571,
    2.618272e-05,
    8.650474e-07,
    1.84815e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.269232e-08,
    3.811408e-07,
    7.233878e-06,
    8.132934e-05,
    0.0004279276,
    0.001223048,
    0.001854532,
    0.002224096,
    0.002057506,
    0.001330054,
    0.0006807229,
    0.0002136684,
    4.486208e-05,
    4.595604e-06,
    2.71975e-07,
    0.0,
    0.0,
    6.191763e-08,
    3.925201e-06,
    0.0001193422,
    0.0009048954,
    0.001475055,
    0.001617396,
    0.001547111,
    0.0007984803,
    0.0002264544,
    8.047543e-05,
    4.542373e-05,
    3.017026e-05,
    1.855648e-05,
    8.090071e-06,
    3.021398e-06,
    1.353966e-06,
    1.373777e-06,
    3.545824e-06,
    7.038737e-06,
    8.931989e-06,
    9.828747e-06,
    8.956568e-06,
    8.073021e-06,
    1.024692e-05,
    1.318817e-05,
    1.292966e-05,
    1.033725e-05,
    6.016964e-06,
    1.361654e-06,
    1.306124e-07,
    4.739204e-09,
    9.526111e-09,
    2.126414e-07,
    9.832396e-07,
    1.869073e-06,
    2.095614e-06,
    1.921072e-06,
    1.15462e-06,
    2.646401e-07,
    2.857323e-08,
    0.0,
    0.0,
    1.376598e-07,
    8.379118e-06,
    0.0001373906,
    0.0002665847,
    0.0002809923,
    0.0002741896,
    0.000147303,
    1.618439e-05,
    9.550792e-07,
    2.688721e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    4.719109e-07,
    1.026916e-05,
    6.482045e-05,
    0.0001583216,
    0.0002367307,
    0.0002711404,
    0.0002443955,
    0.0001600504,
    8.191344e-05,
    3.639342e-05,
    1.016786e-05,
    1.884423e-06,
    2.337198e-07,
    2.86552e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    1.23479e-07,
    1.456592e-06,
    2.113169e-05,
    0.0001329053,
    0.0003183666,
    0.0004878851,
    0.0005482154,
    0.0004855619,
    0.0003273674,
    0.0001625382,
    8.105616e-05,
    3.410886e-05,
    8.274949e-06,
    1.245417e-06,
    1.183457e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    7.205535e-08,
    9.8991e-07,
    7.127372e-06,
    1.64265e-05,
    2.059726e-05,
    2.071061e-05,
    1.48816e-05,
    5.768608e-06,
    2.952207e-06,
    3.248405e-05,
    0.000837268,
    0.009657349,
    0.03430993,
    0.04886987,
    0.04927957,
    0.0415365,
    0.01794755,
    0.001331537,
    2.849171e-05,
    3.042429e-07,
    0.0,
    0.0,
    3.103587e-08,
    2.945377e-06,
    0.0001118963,
    0.002297285,
    0.02019625,
    0.06545891,
    0.1304777,
    0.1876686,
    0.2110016,
    0.1882561,
    0.1309118,
    0.06964912,
    0.02808982,
    0.007537658,
    0.00169114,
    0.0002006595,
    1.829607e-05,
    2.675297e-06,
    6.726945e-07,
    2.175477e-06,
    1.22486e-05,
    3.517398e-05,
    4.840621e-05,
    5.195621e-05,
    4.550518e-05,
    2.97794e-05,
    4.488219e-05,
    0.0001485182,
    0.0003380845,
    0.000601022,
    0.0009221046,
    0.001178075,
    0.001528069,
    0.001465714,
    0.001153967,
    0.0007994969,
    0.0002553949,
    5.075942e-05,
    7.959568e-06,
    7.431351e-07,
    7.315964e-08,
    1.186769e-07,
    3.483363e-06,
    0.0001282091,
    0.005780167,
    0.1696713,
    1.393424,
    2.149625,
    2.214957,
    2.101624,
    0.9818411,
    0.1173432,
    0.003381459,
    0.0003923481,
    0.0005688654,
    0.001847654,
    0.004995679,
    0.01659175,
    0.03710402,
    0.05695191,
    0.06845998,
    0.06200291,
    0.04340195,
    0.02157753,
    0.006086142,
    0.0009660982,
    6.111988e-05,
    2.317751e-06,
    6.125308e-08,
    1.033599e-08,
    2.112486e-08,
    3.163116e-08,
    8.185117e-08,
    9.6644e-07,
    1.430304e-05,
    0.0001511229,
    0.0003492837,
    0.000379915,
    0.00036921,
    0.0002362122,
    3.555816e-05,
    2.056628e-06,
    1.581182e-06,
    4.049903e-05,
    0.0002194909,
    0.000297457,
    0.0002994781,
    0.0002621404,
    8.358687e-05,
    3.562441e-06,
    7.49157e-08,
    7.657179e-07,
    5.603104e-05,
    0.00373905,
    0.05822475,
    0.1886057,
    0.2481184,
    0.2505905,
    0.2052145,
    0.07707645,
    0.007830282,
    0.00046787,
    4.785442e-05,
    1.689749e-05,
    1.239649e-05,
    9.383714e-06,
    6.201893e-06,
    2.988639e-06,
    1.608392e-06,
    1.16671e-06,
    9.412686e-07,
    7.378817e-07,
    4.476432e-07,
    2.781207e-07,
    3.190291e-07,
    4.279917e-07,
    4.499519e-07,
    4.102289e-07,
    3.136464e-07,
    4.404084e-07,
    4.370626e-06,
    7.254459e-05,
    0.0004964671,
    0.001002884,
    0.001088507,
    0.001034928,
    0.0006278212,
    0.0001078905,
    1.053883e-05,
    4.678533e-06,
    2.099936e-05,
    9.858482e-05,
    0.0001962707,
    0.0002366418,
    0.0002298702,
    0.0001545554,
    5.614826e-05,
    1.160148e-05,
    1.341772e-06,
    1.497947e-07,
    2.029143e-07,
    2.945311e-06,
    2.315871e-05,
    8.030455e-05,
    0.0001098362,
    0.0001086204,
    8.897347e-05,
    3.177092e-05,
    1.482802e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    4.687588e-08,
    1.022131e-06,
    1.616745e-05,
    0.0001876516,
    0.0007747432,
    0.0011985,
    0.00122548,
    0.001066337,
    0.0004824743,
    4.454468e-05,
    8.884943e-07,
    0.0,
    0.0,
    2.440098e-08,
    1.833893e-06,
    5.354423e-05,
    0.0006060703,
    0.002488684,
    0.003958999,
    0.004116061,
    0.003611144,
    0.001769523,
    0.0002361266,
    1.168328e-05,
    2.830935e-07,
    0.0,
    0.0,
    1.926594e-08,
    1.351264e-07,
    6.581216e-07,
    1.788699e-06,
    3.426816e-06,
    4.242176e-06,
    4.121358e-06,
    3.365514e-06,
    2.011036e-06,
    1.459807e-06,
    1.657426e-06,
    2.018041e-06,
    2.837618e-06,
    3.396742e-06,
    3.004128e-06,
    2.27862e-06,
    1.149434e-06,
    1.996527e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    2.10988e-08,
    8.493103e-07,
    1.127177e-05,
    3.38543e-05,
    4.76579e-05,
    4.93381e-05,
    3.950839e-05,
    1.716065e-05,
    2.999397e-06,
    4.214234e-07,
    6.330517e-08,
    0.0,
    1.037502e-08,
    1.464518e-08,
    1.464518e-08,
    1.464518e-08,
    4.27016e-09,
    0.0,
    0.0,
    3.196372e-08,
    3.217056e-07,
    8.846e-07,
    1.055002e-06,
    1.033692e-06,
    7.439503e-07,
    1.810559e-07,
    1.065404e-08,
    0.0,
    0.0,
    3.0357e-08,
    9.707392e-08,
    2.337562e-07,
    5.040837e-07,
    1.422986e-06,
    3.529808e-06,
    4.535877e-06,
    4.374789e-06,
    3.430582e-06,
    1.254475e-06,
    1.034625e-07,
    3.954994e-08,
    4.097388e-07,
    1.778593e-06,
    5.627845e-06,
    1.242031e-05,
    2.243197e-05,
    3.278342e-05,
    5.095292e-05,
    8.283387e-05,
    0.000121642,
    0.0001436018,
    0.0001282586,
    9.04608e-05,
    4.080202e-05,
    6.870671e-06,
    6.377762e-07,
    5.289991e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    3.45306e-08,
    1.165681e-07,
    1.625014e-07,
    1.713662e-07,
    1.368356e-07,
    5.479808e-08,
    8.864829e-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,
    5.082552e-08,
    1.112282e-07,
    1.112282e-07,
    1.112282e-07,
    6.040264e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.157859e-09,
    4.157859e-09,
    4.157859e-09,
    4.157859e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.323288e-08,
    8.806305e-07,
    4.297542e-06,
    8.242548e-06,
    9.327375e-06,
    8.700389e-06,
    5.361327e-06,
    1.395518e-06,
    2.342012e-07,
    2.403222e-08,
    0.0,
    9.756086e-09,
    3.108011e-07,
    2.301613e-06,
    4.690585e-06,
    5.468244e-06,
    5.236348e-06,
    3.260126e-06,
    8.614131e-07,
    6.481993e-08,
    4.219768e-09,
    1.550819e-07,
    1.331525e-06,
    4.311735e-06,
    8.397296e-06,
    1.068137e-05,
    1.043088e-05,
    7.722631e-06,
    3.691785e-06,
    1.216819e-06,
    2.89888e-07,
    6.750402e-08,
    1.002742e-08,
    0.0,
    4.151506e-08,
    3.743742e-07,
    7.130702e-07,
    7.361833e-07,
    6.946682e-07,
    3.618091e-07,
    2.31131e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.260609e-08,
    2.810513e-07,
    1.406522e-06,
    4.484747e-06,
    1.05987e-05,
    1.896273e-05,
    3.389925e-05,
    5.994811e-05,
    9.759791e-05,
    0.0001180701,
    0.000112391,
    8.542467e-05,
    4.189287e-05,
    1.204114e-05,
    1.882506e-06,
    1.492983e-07,
    4.41766e-09,
    0.0,
    0.0,
    0.0,
    1.979225e-08,
    9.540707e-08,
    3.80254e-07,
    7.177199e-07,
    7.311703e-07,
    6.555555e-07,
    3.707086e-07,
    3.324272e-08,
    0.0,
    0.0,
    0.0,
    9.306343e-09,
    3.032121e-07,
    1.602826e-06,
    4.429831e-06,
    6.188741e-06,
    6.220177e-06,
    4.963771e-06,
    2.146013e-06,
    3.474281e-07,
    1.73132e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    8.211715e-07,
    1.044727e-05,
    2.522984e-05,
    2.888125e-05,
    2.865494e-05,
    1.934386e-05,
    4.634729e-06,
    9.161245e-07,
    3.366576e-07,
    1.683345e-07,
    6.934483e-08,
    1.900378e-08,
    0.0,
    0.0,
    1.652873e-08,
    5.274892e-08,
    1.081896e-07,
    1.717015e-07,
    2.071097e-07,
    2.287957e-07,
    2.749418e-07,
    3.794846e-07,
    6.595433e-07,
    9.369678e-07,
    1.091764e-06,
    1.156398e-06,
    1.04166e-06,
    8.042577e-07,
    5.637629e-07,
    3.310742e-07,
    1.138169e-07,
    1.588824e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    9.690836e-09,
    7.747981e-08,
    2.790331e-07,
    4.206758e-07,
    4.517688e-07,
    3.839799e-07,
    1.824265e-07,
    4.078387e-08,
    0.0,
    0.0,
    0.0,
    6.506552e-07,
    5.650242e-05,
    0.002457584,
    0.01142299,
    0.01321582,
    0.01321727,
    0.01107231,
    0.002100538,
    5.65823e-05,
    6.085875e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.765511e-08,
    7.613594e-07,
    6.23321e-06,
    2.462274e-05,
    5.497854e-05,
    7.022703e-05,
    7.029411e-05,
    5.37685e-05,
    2.39423e-05,
    7.616776e-06,
    2.369354e-06,
    1.106454e-06,
    8.427467e-07,
    6.103165e-07,
    3.622361e-07,
    1.2786e-07,
    9.845894e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0
  ],
  "protein_score": 0.12765027322378497,
  "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",
    " SPACER",
    " 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",
    " 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",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " 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",
    " 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",
    " 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",
    " 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",
    " 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"
  ],
  "complexity": [
    4.0,
    4.0,
    5.0,
    6.0,
    6.0,
    5.0,
    4.0,
    3.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    3.0,
    3.0,
    3.0,
    4.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    4.0,
    4.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    4.0,
    4.0,
    5.0,
    5.0,
    6.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    5.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    4.0,
    4.0,
    5.0,
    6.0,
    6.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    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,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    11.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    11.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    11.0,
    11.0,
    10.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    11.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    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,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    11.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    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,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    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,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    5.0,
    4.0,
    5.0,
    5.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    11.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    5.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    6.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    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,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    5.0,
    6.0,
    5.0,
    5.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    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,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    11.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    5.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    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,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    11.0,
    11.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    11.0,
    11.0,
    11.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    11.0,
    11.0,
    10.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    11.0,
    11.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    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,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    5.0,
    4.0,
    4.0,
    4.0,
    5.0,
    5.0,
    5.0,
    4.0,
    5.0,
    5.0,
    5.0,
    6.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    9.0,
    10.0,
    11.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    5.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    6.0,
    5.0,
    4.0,
    4.0,
    5.0,
    5.0,
    5.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    11.0,
    11.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0
  ],
  "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,
    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,
    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,
    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,
    3.0,
    2.0,
    2.0,
    3.0,
    2.0,
    2.0,
    2.0,
    3.0,
    4.0,
    5.0,
    5.0,
    4.0,
    4.0,
    4.0,
    3.0,
    4.0,
    4.0,
    4.0,
    3.0,
    2.0,
    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,
    1.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    3.0,
    4.0,
    4.0,
    4.0,
    3.0,
    3.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    4.0,
    4.0,
    3.0,
    3.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    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,
    0.0,
    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,
    3.0,
    3.0,
    4.0,
    5.0,
    5.0,
    4.0,
    4.0,
    4.0,
    5.0,
    5.0,
    4.0,
    3.0,
    3.0,
    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,
    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,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    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,
    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,
    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,
    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,
    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,
    1.0,
    1.0,
    1.0,
    2.0,
    3.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    4.0,
    3.0,
    3.0,
    3.0,
    2.0,
    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,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    0.0,
    0.0,
    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,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    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,
    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,
    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,
    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,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    3.0,
    4.0,
    4.0,
    4.0,
    3.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    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,
    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,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    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,
    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,
    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,
    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,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    3.0,
    3.0,
    3.0,
    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,
    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,
    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,
    1.0,
    1.0,
    1.0,
    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,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    3.0,
    3.0,
    3.0,
    2.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    3.0,
    4.0,
    5.0,
    5.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    3.0,
    2.0,
    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,
    1.0,
    2.0,
    3.0,
    3.0,
    3.0,
    4.0,
    4.0,
    3.0,
    3.0,
    4.0,
    4.0,
    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,
    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,
    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,
    3.0,
    3.0,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    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,
    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,
    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,
    0.0,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    0.0,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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
  ],
  "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
  ],
  "disorder": [
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    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,
    1.0,
    1.0,
    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,
    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,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    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,
    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,
    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,
    4.0,
    4.0,
    4.0,
    4.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    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,
    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,
    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,
    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,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    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,
    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,
    5.0,
    5.0,
    6.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    6.0,
    5.0,
    6.0,
    6.0,
    6.0,
    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,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    5.0,
    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,
    4.0,
    4.0,
    5.0,
    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,
    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,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0
  ],
  "disoMine": [
    0.05785441771149635,
    0.08413196355104446,
    0.09638454020023346,
    0.10768194496631622,
    0.11019999533891678,
    0.10639894753694534,
    0.10971604287624359,
    0.11133479326963425,
    0.09092666953802109,
    0.07540275901556015,
    0.06110484525561333,
    0.05348503217101097,
    0.0478578582406044,
    0.044185567647218704,
    0.04300881549715996,
    0.044516053050756454,
    0.04819666966795921,
    0.05314979702234268,
    0.05890025198459625,
    0.06416875869035721,
    0.07135000824928284,
    0.08269160985946655,
    0.10842245072126389,
    0.12100345641374588,
    0.12612448632717133,
    0.13744837045669556,
    0.12537816166877747,
    0.11748088896274567,
    0.11465086787939072,
    0.10804464668035507,
    0.11047888547182083,
    0.11131923645734787,
    0.1211472824215889,
    0.12949655950069427,
    0.13571326434612274,
    0.13778841495513916,
    0.13563907146453857,
    0.12664225697517395,
    0.1110510304570198,
    0.09901781380176544,
    0.09022866189479828,
    0.08965019881725311,
    0.08891243487596512,
    0.08737551420927048,
    0.08557302504777908,
    0.07608293741941452,
    0.07394091039896011,
    0.07037948071956635,
    0.07106350362300873,
    0.07276064157485962,
    0.07268880307674408,
    0.07142393290996552,
    0.06898952275514603,
    0.0721665769815445,
    0.07946433871984482,
    0.08624417334794998,
    0.09477829933166504,
    0.0970291718840599,
    0.09897799044847488,
    0.09488176554441452,
    0.10003158450126648,
    0.10566582530736923,
    0.11507469415664673,
    0.10729293525218964,
    0.11388790607452393,
    0.11666611582040787,
    0.13976027071475983,
    0.15251609683036804,
    0.16920270025730133,
    0.16713222861289978,
    0.1676737368106842,
    0.1706128567457199,
    0.17461587488651276,
    0.17173205316066742,
    0.1687684953212738,
    0.16367638111114502,
    0.1598832756280899,
    0.1583278924226761,
    0.15899325907230377,
    0.1613079458475113,
    0.1604880690574646,
    0.1560354083776474,
    0.14721199870109558,
    0.14310236275196075,
    0.12745296955108643,
    0.11284864693880081,
    0.10112214833498001,
    0.08985491096973419,
    0.07953021675348282,
    0.07173363119363785,
    0.06987680494785309,
    0.0715809315443039,
    0.07616963237524033,
    0.07854042947292328,
    0.07846209406852722,
    0.07276707887649536,
    0.07662773877382278,
    0.07642627507448196,
    0.08523273468017578,
    0.08804572373628616,
    0.0847926139831543,
    0.06936609745025635,
    0.05619991570711136,
    0.04928625375032425,
    0.048698414117097855,
    0.05511459335684776,
    0.06464909017086029,
    0.061870746314525604,
    0.06576412171125412,
    0.07558554410934448,
    0.08241432160139084,
    0.08893920481204987,
    0.08643552660942078,
    0.08299039304256439,
    0.08089005947113037,
    0.0826035588979721,
    0.07725432515144348,
    0.07110998034477234,
    0.06984414905309677,
    0.06733288615942001,
    0.06739892810583115,
    0.0708533301949501,
    0.07999549061059952,
    0.07314879447221756,
    0.06907963752746582,
    0.06685589253902435,
    0.06683160364627838,
    0.06124437600374222,
    0.05831417441368103,
    0.05575312301516533,
    0.0547456294298172,
    0.05636696144938469,
    0.05776574835181236,
    0.06259289383888245,
    0.060835979878902435,
    0.06349822878837585,
    0.06111500784754753,
    0.06262484937906265,
    0.062480345368385315,
    0.0712849348783493,
    0.07264094799757004,
    0.07357759773731232,
    0.06712497770786285,
    0.056704483926296234,
    0.06473270058631897,
    0.08370544761419296,
    0.09974121302366257,
    0.11591170728206635,
    0.12263008207082748,
    0.13118994235992432,
    0.13792221248149872,
    0.14060501754283905,
    0.143654927611351,
    0.15130995213985443,
    0.15670517086982727,
    0.16049247980117798,
    0.16326183080673218,
    0.16524502635002136,
    0.16725845634937286,
    0.169476717710495,
    0.1688169687986374,
    0.16560803353786469,
    0.1614239662885666,
    0.15580594539642334,
    0.14750449359416962,
    0.14240935444831848,
    0.1398797184228897,
    0.12903860211372375,
    0.11501811444759369,
    0.10804063081741333,
    0.10545721650123596,
    0.104132741689682,
    0.10075361281633377,
    0.096083864569664,
    0.08162614703178406,
    0.07340938597917557,
    0.0702698826789856,
    0.06659485399723053,
    0.06379856169223785,
    0.058156926184892654,
    0.04780374839901924,
    0.038851406425237656,
    0.03388677537441254,
    0.03155380114912987,
    0.030514223501086235,
    0.029713796451687813,
    0.028891287744045258,
    0.029851874336600304,
    0.03281663730740547,
    0.035035405308008194,
    0.03686518222093582,
    0.04077155143022537,
    0.042536500841379166,
    0.04487527161836624,
    0.04577253386378288,
    0.04436575248837471,
    0.04493780434131622,
    0.04815686121582985,
    0.04642206057906151,
    0.04239440709352493,
    0.04459980130195618,
    0.05279024317860603,
    0.06548888981342316,
    0.07786798477172852,
    0.08969638496637344,
    0.09472350776195526,
    0.10112901031970978,
    0.1083039864897728,
    0.11037653684616089,
    0.10972648113965988,
    0.1096809059381485,
    0.10966964066028595,
    0.10958858579397202,
    0.10930407792329788,
    0.10918397456407547,
    0.10914093255996704,
    0.10928919911384583,
    0.1087670773267746,
    0.10751377046108246,
    0.10669215768575668,
    0.10560890287160873,
    0.10364498198032379,
    0.10319671779870987,
    0.09955140203237534,
    0.09638954699039459,
    0.09109023213386536,
    0.09172060340642929,
    0.09394775331020355,
    0.099856898188591,
    0.09921162575483322,
    0.0977352038025856,
    0.0966370478272438,
    0.0924263596534729,
    0.09165012091398239,
    0.08999282121658325,
    0.0870697945356369,
    0.085763119161129,
    0.08435232937335968,
    0.07955650240182877,
    0.07414184510707855,
    0.07041756808757782,
    0.06660599261522293,
    0.061612632125616074,
    0.05729084461927414,
    0.05472657084465027,
    0.05229965224862099,
    0.048574913293123245,
    0.045182254165410995,
    0.040729064494371414,
    0.03655608743429184,
    0.032697420567274094,
    0.029603898525238037,
    0.028591372072696686,
    0.028992969542741776,
    0.029665403068065643,
    0.028572799637913704,
    0.027727549895644188,
    0.026630360633134842,
    0.025424547493457794,
    0.02325601875782013,
    0.02264450304210186,
    0.020659158006310463,
    0.018662938848137856,
    0.017353331670165062,
    0.016350960358977318,
    0.015091880224645138,
    0.01364167220890522,
    0.012916216626763344,
    0.012289933860301971,
    0.012113417498767376,
    0.01242518424987793,
    0.012447942048311234,
    0.012929871678352356,
    0.014514598064124584,
    0.015460352413356304,
    0.018032865598797798,
    0.016949933022260666,
    0.01697704754769802,
    0.016785679385066032,
    0.016711706295609474,
    0.01589396968483925,
    0.014984340406954288,
    0.013612023554742336,
    0.013264322653412819,
    0.013003281317651272,
    0.013729349710047245,
    0.015710661187767982,
    0.018670834600925446,
    0.020571662113070488,
    0.02149941772222519,
    0.02186165750026703,
    0.020982841029763222,
    0.02016277424991131,
    0.018951861187815666,
    0.017958899959921837,
    0.01752832718193531,
    0.01837765797972679,
    0.019448747858405113,
    0.02076195739209652,
    0.0230088047683239,
    0.025020960718393326,
    0.027279196307063103,
    0.028544383123517036,
    0.030602198094129562,
    0.03290697559714317,
    0.03387707471847534,
    0.03384575992822647,
    0.034402087330818176,
    0.03559558838605881,
    0.038097232580184937,
    0.03952405974268913,
    0.0392778106033802,
    0.037058617919683456,
    0.03536638990044594,
    0.03225569799542427,
    0.029504084959626198,
    0.026211686432361603,
    0.02304992638528347,
    0.020833157002925873,
    0.01955690048635006,
    0.018082784488797188,
    0.016598889604210854,
    0.015542970038950443,
    0.015633614733815193,
    0.015664855018258095,
    0.017044518142938614,
    0.01799030788242817,
    0.019491087645292282,
    0.021194221451878548,
    0.0242998618632555,
    0.025020409375429153,
    0.025189008563756943,
    0.023818951100111008,
    0.021311674267053604,
    0.01903175562620163,
    0.017069317400455475,
    0.015704777091741562,
    0.01468215137720108,
    0.014176977798342705,
    0.013880223035812378,
    0.013811812736093998,
    0.014177210628986359,
    0.014729236252605915,
    0.015449815429747105,
    0.01688135787844658,
    0.018478883430361748,
    0.02055605687201023,
    0.021882716566324234,
    0.02186857908964157,
    0.022268783301115036,
    0.02328578010201454,
    0.023732846602797508,
    0.022533264011144638,
    0.02138807252049446,
    0.020953631028532982,
    0.02329661138355732,
    0.02448117919266224,
    0.02484765090048313,
    0.02448124811053276,
    0.02177806757390499,
    0.01992635801434517,
    0.018833883106708527,
    0.019082920625805855,
    0.017161186784505844,
    0.014966840855777264,
    0.013863537460565567,
    0.013290748000144958,
    0.01244745496660471,
    0.011387919075787067,
    0.01087551936507225,
    0.01054085697978735,
    0.01032939087599516,
    0.010631554760038853,
    0.010901731438934803,
    0.011486190371215343,
    0.012064879760146141,
    0.012003595009446144,
    0.01388790737837553,
    0.01492408849298954,
    0.01589026302099228,
    0.015573058277368546,
    0.016329187899827957,
    0.016668252646923065,
    0.016350923106074333,
    0.01485738717019558,
    0.01322095561772585,
    0.012045362032949924,
    0.011075340211391449,
    0.010741940699517727,
    0.01064238976687193,
    0.011206966824829578,
    0.01103928405791521,
    0.010985652916133404,
    0.010666929185390472,
    0.01044771820306778,
    0.009892887435853481,
    0.009586471132934093,
    0.009663629345595837,
    0.009635617956519127,
    0.010181679390370846,
    0.010701079852879047,
    0.011476621963083744,
    0.012471715919673443,
    0.013215289451181889,
    0.012985926121473312,
    0.012904288247227669,
    0.012957963161170483,
    0.012114827521145344,
    0.01150120235979557,
    0.011073173023760319,
    0.01097705028951168,
    0.011053969152271748,
    0.011456174775958061,
    0.012997622601687908,
    0.013937348499894142,
    0.0158525537699461,
    0.014724766835570335,
    0.016324294731020927,
    0.01595488376915455,
    0.014188077300786972,
    0.012809602543711662,
    0.011162014678120613,
    0.010206231847405434,
    0.009898698888719082,
    0.009794572368264198,
    0.010247813537716866,
    0.011992368847131729,
    0.014383633621037006,
    0.0162968747317791,
    0.02012144774198532,
    0.02465781942009926,
    0.028298361226916313,
    0.03046996332705021,
    0.03346101567149162,
    0.034352101385593414,
    0.033551789820194244,
    0.03205230087041855,
    0.028603408485651016,
    0.024472292512655258,
    0.021082887426018715,
    0.017754442989826202,
    0.015806814655661583,
    0.014101297594606876,
    0.013248729519546032,
    0.012553411535918713,
    0.012125348672270775,
    0.012037277221679688,
    0.01209202129393816,
    0.012315272353589535,
    0.013749663718044758,
    0.015127700753509998,
    0.01659528724849224,
    0.017625050619244576,
    0.019170859828591347,
    0.01986749656498432,
    0.020445354282855988,
    0.019974559545516968,
    0.019968045875430107,
    0.018918368965387344,
    0.017868969589471817,
    0.016097186133265495,
    0.014044017530977726,
    0.013054906390607357,
    0.012495269998908043,
    0.012570783495903015,
    0.01289683859795332,
    0.013560440391302109,
    0.014096246100962162,
    0.014499396085739136,
    0.015346473082900047,
    0.015161754563450813,
    0.015455156564712524,
    0.015182801522314548,
    0.013907695189118385,
    0.012883017770946026,
    0.01180281676352024,
    0.011302106082439423,
    0.0110210832208395,
    0.011012210510671139,
    0.011066151782870293,
    0.01106758788228035,
    0.011753559112548828,
    0.011898242868483067,
    0.012802397832274437,
    0.013554668053984642,
    0.014463593252003193,
    0.015065876767039299,
    0.014553225599229336,
    0.01424405537545681,
    0.013064708560705185,
    0.012065727263689041,
    0.011421015486121178,
    0.011035333387553692,
    0.010967307724058628,
    0.01123825367540121,
    0.01167422253638506,
    0.011909084394574165,
    0.01189440954476595,
    0.011989443562924862,
    0.011429260484874249,
    0.011602276936173439,
    0.011727030389010906,
    0.011215148493647575,
    0.011232374235987663,
    0.011646373197436333,
    0.011890252120792866,
    0.012472584843635559,
    0.01337409857660532,
    0.013116776943206787,
    0.01341258455067873,
    0.013077257201075554,
    0.012246748432517052,
    0.011743366718292236,
    0.011643628589808941,
    0.011076761409640312,
    0.010931253433227539,
    0.011822281405329704,
    0.012423902750015259,
    0.012944309040904045,
    0.013955519534647465,
    0.014161897823214531,
    0.013685679994523525,
    0.01414075680077076,
    0.014423470012843609,
    0.014667382463812828,
    0.013800004497170448,
    0.013278516940772533,
    0.012442274950444698,
    0.011724074371159077,
    0.011347919702529907,
    0.011085842736065388,
    0.011305740103125572,
    0.011964943259954453,
    0.013340672478079796,
    0.015179150737822056,
    0.016833379864692688,
    0.01998106576502323,
    0.02314397133886814,
    0.026047300547361374,
    0.027955234050750732,
    0.030445750802755356,
    0.031042153015732765,
    0.03227538615465164,
    0.03207741677761078,
    0.03130324184894562,
    0.029759280383586884,
    0.026045676320791245,
    0.02155786193907261,
    0.018749767914414406,
    0.016779998317360878,
    0.015285455621778965,
    0.01410135067999363,
    0.01380199659615755,
    0.013930228538811207,
    0.014201902784407139,
    0.014802761375904083,
    0.015484727919101715,
    0.01646782085299492,
    0.01795182004570961,
    0.018542828038334846,
    0.01756972074508667,
    0.01687752828001976,
    0.016291050240397453,
    0.015935363247990608,
    0.016147499904036522,
    0.01583949476480484,
    0.01604324020445347,
    0.014996903017163277,
    0.014435304328799248,
    0.013951859436929226,
    0.013464031741023064,
    0.012963020242750645,
    0.013094265945255756,
    0.014021070674061775,
    0.01523410715162754,
    0.01687570847570896,
    0.017219288274645805,
    0.018519612029194832,
    0.019423512741923332,
    0.019995450973510742,
    0.01874636486172676,
    0.017204616218805313,
    0.016194185242056847,
    0.014721432700753212,
    0.014066126197576523,
    0.013725598342716694,
    0.0140865882858634,
    0.014233380556106567,
    0.014574837870895863,
    0.015441304072737694,
    0.016482917591929436,
    0.018460247665643692,
    0.020923396572470665,
    0.021947911009192467,
    0.022113995626568794,
    0.022634141147136688,
    0.02130190096795559,
    0.0198837798088789,
    0.01824180968105793,
    0.01758650317788124,
    0.017075814306735992,
    0.017912881448864937,
    0.017894931137561798,
    0.01803419180214405,
    0.020543191581964493,
    0.021716834977269173,
    0.022090867161750793,
    0.022079097107052803,
    0.024657102301716805,
    0.029013892635703087,
    0.03214240074157715,
    0.03594481199979782,
    0.03794438764452934,
    0.041346475481987,
    0.04517091065645218,
    0.04929071292281151,
    0.05289970710873604,
    0.054374415427446365,
    0.054156091064214706,
    0.05378032475709915,
    0.05190126970410347,
    0.05107126384973526,
    0.04956381395459175,
    0.04890171438455582,
    0.04558698087930679,
    0.04154200851917267,
    0.035419315099716187,
    0.030477125197649002,
    0.028113335371017456,
    0.025630146265029907,
    0.023784035816788673,
    0.022307198494672775,
    0.02220575325191021,
    0.020669976249337196,
    0.017833398655056953,
    0.016430743038654327,
    0.015244713053107262,
    0.01424923911690712,
    0.013477098196744919,
    0.013280190527439117,
    0.013320647180080414,
    0.013394990935921669,
    0.0141883110627532,
    0.014894269406795502,
    0.015591599978506565,
    0.01672404445707798,
    0.017609914764761925,
    0.01678113080561161,
    0.014444424770772457,
    0.013034830801188946,
    0.012541902251541615,
    0.011790692806243896,
    0.011606499552726746,
    0.011464321054518223,
    0.012040862813591957,
    0.011757917702198029,
    0.012404014356434345,
    0.013302898034453392,
    0.014616253785789013,
    0.016407571732997894,
    0.01920226588845253,
    0.021331889554858208,
    0.024551432579755783,
    0.02725413627922535,
    0.03012295998632908,
    0.0316774919629097,
    0.03217541053891182,
    0.030726032331585884,
    0.027078954502940178,
    0.02330818958580494,
    0.02050844021141529,
    0.0178524162620306,
    0.016002163290977478,
    0.01483064517378807,
    0.014542636461555958,
    0.014468147419393063,
    0.014892591163516045,
    0.015425696037709713,
    0.016196388751268387,
    0.017497709020972252,
    0.01972016505897045,
    0.02104489505290985,
    0.02075853943824768,
    0.02119520492851734,
    0.02102036029100418,
    0.021448371931910515,
    0.020230310037732124,
    0.018594490364193916,
    0.016665423288941383,
    0.015569747425615788,
    0.01425098069012165,
    0.01358108315616846,
    0.01374089252203703,
    0.014508276246488094,
    0.015715373679995537,
    0.01659761369228363,
    0.017941096797585487,
    0.018400294706225395,
    0.01831098087131977,
    0.01876298524439335,
    0.01984277553856373,
    0.018883688375353813,
    0.016994133591651917,
    0.015460111200809479,
    0.014136129058897495,
    0.013357083313167095,
    0.012986487708985806,
    0.013120622374117374,
    0.013269946910440922,
    0.013868016190826893,
    0.014112015254795551,
    0.01545479241758585,
    0.01597888208925724,
    0.01666034385561943,
    0.016351643949747086,
    0.015819445252418518,
    0.01526834536343813,
    0.014289877377450466,
    0.013389069586992264,
    0.012776804156601429,
    0.012822662480175495,
    0.013405771926045418,
    0.014195061288774014,
    0.013999137096107006,
    0.015053223818540573,
    0.015577686950564384,
    0.01654966175556183,
    0.016125524416565895,
    0.01654651015996933,
    0.015766127035021782,
    0.014477615244686604,
    0.014191052876412868,
    0.013780017383396626,
    0.013967900536954403,
    0.014880743809044361,
    0.01592053472995758,
    0.01638387143611908,
    0.01645589992403984,
    0.01651206985116005,
    0.015402872115373611,
    0.014464101754128933,
    0.013681476935744286,
    0.012939289212226868,
    0.012591149657964706,
    0.012607313692569733,
    0.012705410830676556,
    0.013131128624081612,
    0.013590200804173946,
    0.013454754836857319,
    0.013963744044303894,
    0.014666514471173286,
    0.015293006785213947,
    0.014831092208623886,
    0.014739744365215302,
    0.013926777057349682,
    0.012751759961247444,
    0.012433143332600594,
    0.012234761379659176,
    0.012320742011070251,
    0.012416801415383816,
    0.012992821633815765,
    0.013709238730370998,
    0.01407407782971859,
    0.015051363967359066,
    0.016087545081973076,
    0.017415570095181465,
    0.01714336685836315,
    0.01708116941154003,
    0.016505977138876915,
    0.015585930086672306,
    0.01431459654122591,
    0.013407455757260323,
    0.012918994762003422,
    0.012765694409608841,
    0.012775667943060398,
    0.013152625411748886,
    0.013299481011927128,
    0.013380342163145542,
    0.014160405844449997,
    0.015108518302440643,
    0.01634392887353897,
    0.016420559957623482,
    0.018404964357614517,
    0.018736841157078743,
    0.018550101667642593,
    0.01780213788151741,
    0.0173164214938879,
    0.0170902032405138,
    0.016623113304376602,
    0.015978513285517693,
    0.015010657720267773,
    0.014190059155225754,
    0.013576854951679707,
    0.013041923753917217,
    0.012886455282568932,
    0.013253728859126568,
    0.01434501726180315,
    0.015573358163237572,
    0.016717130318284035,
    0.017905885353684425,
    0.018229251727461815,
    0.018266145139932632,
    0.01809060014784336,
    0.017989078536629677,
    0.016705015674233437,
    0.0156655665487051,
    0.014802059158682823,
    0.014393392018973827,
    0.01432124339044094,
    0.014844453893601894,
    0.015643157064914703,
    0.016373854130506516,
    0.017914894968271255,
    0.019435448572039604,
    0.020646104589104652,
    0.02088298834860325,
    0.021750109270215034,
    0.02154681645333767,
    0.020884502679109573,
    0.019335884600877762,
    0.017083188518881798,
    0.015383170917630196,
    0.014416945166885853,
    0.013687281869351864,
    0.01375679112970829,
    0.014190832152962685,
    0.01486952230334282,
    0.015090683475136757,
    0.015759993344545364,
    0.016317488625645638,
    0.017159901559352875,
    0.017505932599306107,
    0.017836371436715126,
    0.01709751784801483,
    0.017379751428961754,
    0.01747930608689785,
    0.017480403184890747,
    0.0192398764193058,
    0.0198117233812809,
    0.0195882860571146,
    0.0172466728836298,
    0.01674952544271946,
    0.01583397388458252,
    0.014637635089457035,
    0.013743839226663113,
    0.013450155034661293,
    0.013500835746526718,
    0.013309421017765999,
    0.013478728011250496,
    0.01368760410696268,
    0.014132554642856121,
    0.013746509328484535,
    0.013421868905425072,
    0.012644900940358639,
    0.012323981150984764,
    0.011987375095486641,
    0.011776643805205822,
    0.01167341973632574,
    0.011718318797647953,
    0.01192792970687151,
    0.01206448208540678,
    0.012234646826982498,
    0.01271706074476242,
    0.013201280497014523,
    0.01450352557003498,
    0.015434686094522476,
    0.016591714695096016,
    0.018183132633566856,
    0.0197451151907444,
    0.020326366648077965,
    0.020936772227287292,
    0.019862251356244087,
    0.018133433535695076,
    0.016328398138284683,
    0.014542239718139172,
    0.013282621279358864,
    0.012158413417637348,
    0.011724709533154964,
    0.011615664698183537,
    0.011525221168994904,
    0.011920856311917305,
    0.01250638347119093,
    0.012992912903428078,
    0.013148337602615356,
    0.013701548799872398,
    0.01491223182529211,
    0.015841003507375717,
    0.015972726047039032,
    0.015648188069462776,
    0.015275410376489162,
    0.014799744822084904,
    0.015219399705529213,
    0.015310314483940601,
    0.015115587040781975,
    0.015438362024724483,
    0.01559225283563137,
    0.015809189528226852,
    0.01677170768380165,
    0.018119802698493004,
    0.020710298791527748,
    0.025078948587179184,
    0.029764065518975258,
    0.030912723392248154,
    0.030200444161891937,
    0.029379721730947495,
    0.030441133305430412,
    0.03058675117790699,
    0.026754260063171387,
    0.02292368933558464,
    0.02107284776866436,
    0.01917153224349022,
    0.017680667340755463,
    0.016866406425833702,
    0.017268726602196693,
    0.01781264692544937,
    0.01868450455367565,
    0.02023438923060894,
    0.02200431376695633,
    0.023541081696748734,
    0.025387953966856003,
    0.027561526745557785,
    0.029698459431529045,
    0.028788231313228607,
    0.025273559615015984,
    0.022081049159169197,
    0.020188257098197937,
    0.01856728084385395,
    0.01784655638039112,
    0.018641257658600807,
    0.019822586327791214,
    0.02002694644033909,
    0.021148405969142914,
    0.023096870630979538,
    0.025449318811297417,
    0.028654135763645172,
    0.030315762385725975,
    0.03141476958990097,
    0.028939496725797653,
    0.02556811273097992,
    0.023646321147680283,
    0.022074900567531586,
    0.021707553416490555,
    0.021382758393883705,
    0.022246837615966797,
    0.021035190671682358,
    0.021137718111276627,
    0.020953794941306114,
    0.02123522385954857,
    0.020935652777552605,
    0.02110411413013935,
    0.021701402962207794,
    0.021625010296702385,
    0.022401249036192894,
    0.02295520529150963,
    0.024166420102119446,
    0.0241230558604002,
    0.02500978298485279,
    0.023794423788785934,
    0.02173621393740177,
    0.019154798239469528,
    0.018160298466682434,
    0.016674349084496498,
    0.01554027758538723,
    0.014609106816351414,
    0.013871838338673115,
    0.013349631801247597,
    0.012986506335437298,
    0.012902453541755676,
    0.01329370029270649,
    0.014275229535996914,
    0.015265916474163532,
    0.016940265893936157,
    0.018193818628787994,
    0.019811129197478294,
    0.021824581548571587,
    0.023939823731780052,
    0.024131080135703087,
    0.02214876189827919,
    0.01994740217924118,
    0.017839770764112473,
    0.015881115570664406,
    0.014533729292452335,
    0.01361454650759697,
    0.013186324387788773,
    0.012312476523220539,
    0.01203641016036272,
    0.011433366686105728,
    0.011601423844695091,
    0.011845264583826065,
    0.012478077784180641,
    0.012805098667740822,
    0.013567980378866196,
    0.014861378818750381,
    0.01615091785788536,
    0.016165798529982567,
    0.01674238033592701,
    0.017149120569229126,
    0.017147256061434746,
    0.015920639038085938,
    0.015069953165948391,
    0.01369040459394455,
    0.013129300437867641,
    0.012492458336055279,
    0.012060885317623615,
    0.01192391850054264,
    0.012469279579818249,
    0.013529487885534763,
    0.014499150216579437,
    0.01501799188554287,
    0.015435612760484219,
    0.016006330028176308,
    0.017063206061720848,
    0.016590852290391922,
    0.01566571556031704,
    0.014763793908059597,
    0.013761373236775398,
    0.013128657825291157,
    0.012858087196946144,
    0.013404043391346931,
    0.013792178593575954,
    0.014775991439819336,
    0.016572462394833565,
    0.018068794161081314,
    0.02081752009689808,
    0.023159068077802658,
    0.02494867891073227,
    0.02633954957127571,
    0.026387741789221764,
    0.02459520660340786,
    0.02175219915807247,
    0.019397662952542305,
    0.017015431076288223,
    0.015109781175851822,
    0.013990004546940327,
    0.013550294563174248,
    0.013453958556056023,
    0.01362803764641285,
    0.013213523663580418,
    0.014316688291728497,
    0.014587478712201118,
    0.01411372609436512,
    0.013004463165998459,
    0.011408111080527306,
    0.010531391948461533,
    0.010130468755960464,
    0.009725481271743774,
    0.009736252017319202,
    0.009525845758616924,
    0.010240861214697361,
    0.010591261088848114,
    0.010868278332054615,
    0.01090335100889206,
    0.010714536532759666,
    0.01029867772012949,
    0.009996902197599411,
    0.0095518808811903,
    0.009478224441409111,
    0.00945585872977972,
    0.009710998274385929,
    0.0098929014056921,
    0.01016146782785654,
    0.009659089148044586,
    0.009830329567193985,
    0.009748230688273907,
    0.009906468912959099,
    0.009388149715960026,
    0.009215750731527805,
    0.009135629050433636,
    0.008999723941087723,
    0.008792193606495857,
    0.008859166875481606,
    0.008998975157737732,
    0.009271626360714436,
    0.009748340584337711,
    0.01025642640888691,
    0.010282393544912338,
    0.010594683699309826,
    0.01042315736413002,
    0.010264789685606956,
    0.010279822163283825,
    0.010378377512097359,
    0.010059508495032787,
    0.009824399836361408,
    0.009480598382651806,
    0.009182823821902275,
    0.008928473107516766,
    0.008920139633119106,
    0.008976830169558525,
    0.009290259331464767,
    0.009824682027101517,
    0.010456861928105354,
    0.010702074505388737,
    0.012128319591283798,
    0.01344818715006113,
    0.014838485047221184,
    0.0159505195915699,
    0.016609884798526764,
    0.01685749925673008,
    0.016925502568483353,
    0.016384586691856384,
    0.014786908403038979,
    0.013089843094348907,
    0.011828153394162655,
    0.010678972117602825,
    0.010382359847426414,
    0.010384692810475826,
    0.010987144894897938,
    0.011292556300759315,
    0.01138793583959341,
    0.011344010010361671,
    0.011900221928954124,
    0.013049648143351078,
    0.014596761204302311,
    0.0151322977617383,
    0.0159898828715086,
    0.01651485078036785,
    0.017521226778626442,
    0.018222639337182045,
    0.018214520066976547,
    0.016719160601496696,
    0.01499649416655302,
    0.013759496621787548,
    0.012707240879535675,
    0.011820889078080654,
    0.011509093455970287,
    0.012165832333266735,
    0.013008668087422848,
    0.013408048078417778,
    0.014486951753497124,
    0.01586049236357212,
    0.01706637255847454,
    0.016244113445281982,
    0.016994483768939972,
    0.0167477335780859,
    0.016847677528858185,
    0.01658819057047367,
    0.014803624711930752,
    0.013030236586928368,
    0.012335908599197865,
    0.011817490682005882,
    0.011880501173436642,
    0.012362929061055183,
    0.01247088797390461,
    0.011458049528300762,
    0.010533245280385017,
    0.010443346574902534,
    0.010002784430980682,
    0.00974952895194292,
    0.009915570728480816,
    0.010132253170013428,
    0.010901001282036304,
    0.011487998999655247,
    0.011621436104178429,
    0.01212466973811388,
    0.012590093538165092,
    0.013707800768315792,
    0.013066787272691727,
    0.01320014987140894,
    0.01282271184027195,
    0.012100152671337128,
    0.012450550682842731,
    0.01298662181943655,
    0.014916296117007732,
    0.016236988827586174,
    0.01740092784166336,
    0.018190735951066017,
    0.02001696452498436,
    0.020434938371181488,
    0.02025819569826126,
    0.019008729606866837,
    0.018626442179083824,
    0.017904194071888924,
    0.016193578019738197,
    0.01552252285182476,
    0.013956255279481411,
    0.013104178011417389,
    0.013249589130282402,
    0.013224594295024872,
    0.01437905803322792,
    0.015528667718172073,
    0.015828022733330727,
    0.015398683957755566,
    0.014396551065146923,
    0.013016422279179096,
    0.012669332325458527,
    0.01223594881594181,
    0.01141407061368227,
    0.010923285968601704,
    0.01041688397526741,
    0.010052986443042755,
    0.00956664327532053,
    0.00932455062866211,
    0.009040608070790768,
    0.009042026475071907,
    0.009043441154062748,
    0.00946400873363018,
    0.009907395578920841,
    0.010228085331618786,
    0.010418466292321682,
    0.010691376402974129,
    0.01065839733928442,
    0.01059109065681696,
    0.010743805207312107,
    0.010597928427159786,
    0.010145657695829868,
    0.009768323972821236,
    0.009524666704237461,
    0.00946219451725483,
    0.009806867688894272,
    0.010493709705770016,
    0.010811857879161835,
    0.011651863344013691,
    0.012189406901597977,
    0.012740773148834705,
    0.01266046054661274,
    0.013236821629106998,
    0.01359680574387312,
    0.013374192640185356,
    0.014078696258366108,
    0.016017945483326912,
    0.01626559905707836,
    0.016145190224051476,
    0.016461241990327835,
    0.016328880563378334,
    0.015780331566929817,
    0.01533705834299326,
    0.015039656311273575,
    0.014828652143478394,
    0.014655286446213722,
    0.014040108770132065,
    0.01389524806290865,
    0.013809559866786003,
    0.01278779748827219,
    0.011283583007752895,
    0.010630537755787373,
    0.01063851360231638,
    0.011008611880242825,
    0.010918757878243923,
    0.0098119480535388,
    0.008916396647691727,
    0.008614607155323029,
    0.008307430893182755,
    0.008320273831486702,
    0.008445107378065586,
    0.009396322071552277,
    0.010025021620094776,
    0.010128279216587543,
    0.010733148083090782,
    0.011420320719480515,
    0.012827286496758461,
    0.012834359891712666,
    0.013656038790941238,
    0.013505319133400917,
    0.012891600839793682,
    0.011895478703081608,
    0.011133776977658272,
    0.010005169548094273,
    0.009445617906749249,
    0.009270912036299706,
    0.009658865630626678,
    0.010152449831366539,
    0.010322047397494316,
    0.010417100042104721,
    0.010633952915668488,
    0.011048918589949608,
    0.010642444714903831,
    0.011242758482694626,
    0.012813365086913109,
    0.013982980512082577,
    0.015398330055177212,
    0.01532040350139141,
    0.015024843625724316,
    0.01542891189455986,
    0.015410915948450565,
    0.015527983196079731,
    0.014859851449728012,
    0.014684918336570263,
    0.015274950303137302,
    0.014658673666417599,
    0.014580091461539268,
    0.014648215845227242,
    0.013997964560985565,
    0.012826967053115368,
    0.0120667964220047,
    0.012535844929516315,
    0.012127953581511974,
    0.011720594018697739,
    0.011187353171408176,
    0.011008569970726967,
    0.010786221362650394,
    0.010586538352072239,
    0.010718525387346745,
    0.010869626887142658,
    0.011045907624065876,
    0.011250394396483898,
    0.011237655766308308,
    0.011700721457600594,
    0.012862137518823147,
    0.013453774154186249,
    0.015301963314414024,
    0.017458917573094368,
    0.01820867881178856,
    0.016063101589679718,
    0.01483740471303463,
    0.014978486113250256,
    0.015886668115854263,
    0.016756601631641388,
    0.016824353486299515,
    0.016361087560653687,
    0.016261808574199677,
    0.015660429373383522,
    0.015289172530174255,
    0.015259373001754284,
    0.014977768994867802,
    0.013539534993469715,
    0.012141094543039799,
    0.011819322593510151,
    0.010638208128511906,
    0.010205840691924095,
    0.010231025516986847,
    0.010178076103329659,
    0.011107181198894978,
    0.01199494581669569,
    0.01272423006594181,
    0.014487223699688911,
    0.015678521245718002,
    0.017298651859164238,
    0.01794612966477871,
    0.019304299727082253,
    0.019527627155184746,
    0.018102386966347694,
    0.016209691762924194,
    0.014229139313101768,
    0.013393214903771877,
    0.012734098359942436,
    0.012626678682863712,
    0.012193351984024048,
    0.012726835906505585,
    0.012719511054456234,
    0.0126492353156209,
    0.013547605834901333,
    0.015341307036578655,
    0.017128292471170425,
    0.017041850835084915,
    0.017027996480464935,
    0.01682286523282528,
    0.01727745123207569,
    0.01777554489672184,
    0.01875409297645092,
    0.02067546918988228,
    0.022075561806559563,
    0.023218896239995956,
    0.02416893281042576,
    0.025743531063199043,
    0.026173971593379974,
    0.024978676810860634,
    0.02319682203233242,
    0.022585341706871986,
    0.020182164385914803,
    0.017620857805013657,
    0.016365807503461838,
    0.01538347452878952,
    0.014413963072001934,
    0.013247494585812092,
    0.013351567089557648,
    0.013595955446362495,
    0.014874321408569813,
    0.015436151064932346,
    0.01775965839624405,
    0.01956396922469139,
    0.02201768010854721,
    0.02487957663834095,
    0.027909671887755394,
    0.029904795810580254,
    0.028903787955641747,
    0.029219841584563255,
    0.029544806107878685,
    0.028783047571778297,
    0.030293677002191544,
    0.030523842200636864,
    0.029648607596755028,
    0.024503320455551147,
    0.021914152428507805,
    0.02083275280892849,
    0.019733065739274025,
    0.01802579127252102,
    0.017051981762051582,
    0.017564883455634117,
    0.01697111316025257,
    0.016511939465999603,
    0.017079705372452736,
    0.01840214803814888,
    0.01891339384019375,
    0.020131058990955353,
    0.019998690113425255,
    0.019485674798488617,
    0.017622673884034157,
    0.017849398776888847,
    0.017663773149251938,
    0.018044259399175644,
    0.018144847825169563,
    0.020204925909638405,
    0.020644277334213257,
    0.0206557996571064,
    0.021840889006853104,
    0.02321343496441841,
    0.02352864295244217,
    0.023281708359718323,
    0.023040467873215675,
    0.023750264197587967,
    0.02333052270114422,
    0.023420877754688263,
    0.022935738787055016,
    0.020413264632225037,
    0.01799347624182701,
    0.016378408297896385,
    0.015645543113350868,
    0.01449244748800993,
    0.01382654532790184,
    0.013540622778236866,
    0.013338100165128708,
    0.013223064132034779,
    0.01242415327578783,
    0.011889573186635971,
    0.011635779403150082,
    0.011617997661232948,
    0.011798284016549587,
    0.012625281699001789,
    0.013781494460999966,
    0.0150655722245574,
    0.016362300142645836,
    0.018020769581198692,
    0.018884077668190002,
    0.020557017996907234,
    0.02049880661070347,
    0.019189581274986267,
    0.017259802669286728,
    0.016453329473733902,
    0.015392396599054337,
    0.014650142751634121,
    0.014583778567612171,
    0.015021893195807934,
    0.015428412705659866,
    0.01635976880788803,
    0.01728237420320511,
    0.01753845624625683,
    0.01773974671959877,
    0.017136868089437485,
    0.016733810305595398,
    0.015416466630995274,
    0.014530341140925884,
    0.013933980837464333,
    0.013720615766942501,
    0.013723990879952908,
    0.013809955678880215,
    0.014004357159137726,
    0.01325301919132471,
    0.012814541347324848,
    0.01209410559386015,
    0.01154030580073595,
    0.01131140161305666,
    0.010957391001284122,
    0.01084956992417574,
    0.010759624652564526,
    0.010574224404990673,
    0.010333184152841568,
    0.010396896861493587,
    0.010220089927315712,
    0.010304229333996773,
    0.010351876728236675,
    0.010586130432784557,
    0.01066566538065672,
    0.010982844978570938,
    0.010660403408110142,
    0.010332876816391945,
    0.010123088955879211,
    0.010203523561358452,
    0.010114960372447968,
    0.010417488403618336,
    0.01127323042601347,
    0.011685159988701344,
    0.012466308660805225,
    0.012985363602638245,
    0.01394781842827797,
    0.013611254282295704,
    0.014128834940493107,
    0.014603464864194393,
    0.01341763325035572,
    0.01227959431707859,
    0.012247458100318909,
    0.011740876361727715,
    0.01169915497303009,
    0.011753758415579796,
    0.012717762030661106,
    0.013563163578510284,
    0.0131369074806571,
    0.012823320925235748,
    0.012681697495281696,
    0.012863324023783207,
    0.012562701478600502,
    0.012645692564547062,
    0.01316145434975624,
    0.013577742502093315,
    0.014561578631401062,
    0.015378735959529877,
    0.01657775603234768,
    0.017117762938141823,
    0.017022132873535156,
    0.017222007736563683,
    0.016895219683647156,
    0.01653905399143696,
    0.017020223662257195,
    0.01782364398241043,
    0.019328344613313675,
    0.020236128941178322,
    0.021859636530280113,
    0.023683881387114525,
    0.02520083822309971,
    0.02771890163421631,
    0.03061985969543457,
    0.033486854285001755,
    0.03420494496822357,
    0.0339152067899704,
    0.03027222491800785,
    0.026487087830901146,
    0.024183860048651695,
    0.022808533161878586,
    0.022152334451675415,
    0.02224988117814064,
    0.022727085277438164,
    0.022378256544470787,
    0.020998556166887283,
    0.021410269662737846,
    0.022441592067480087,
    0.023719536140561104,
    0.024406354874372482,
    0.02447153627872467,
    0.023861730471253395,
    0.024173052981495857,
    0.025652363896369934,
    0.02784489467740059,
    0.028638970106840134,
    0.03058968484401703,
    0.031570520251989365,
    0.033833395689725876,
    0.03496246784925461,
    0.03718751668930054,
    0.0391734354197979,
    0.0402589775621891,
    0.03865597024559975,
    0.03392001986503601,
    0.029977954924106598,
    0.02642037346959114,
    0.024256423115730286,
    0.023659516125917435,
    0.02345263585448265,
    0.02444116584956646,
    0.025033874437212944,
    0.023468438535928726,
    0.024260228499770164,
    0.0230284184217453,
    0.02207714132964611,
    0.02147858589887619,
    0.021117661148309708,
    0.021047208458185196,
    0.021283244714140892,
    0.022115444764494896,
    0.02355588972568512,
    0.024780726060271263,
    0.025512585416436195,
    0.026059839874505997,
    0.02707074023783207,
    0.027852071449160576,
    0.02767900750041008,
    0.02930973283946514,
    0.029431117698550224,
    0.02891470305621624,
    0.02873348817229271,
    0.030644206330180168,
    0.033811479806900024,
    0.03519781678915024,
    0.037409812211990356,
    0.03722960874438286,
    0.03994792699813843,
    0.04248402267694473,
    0.04504597932100296,
    0.046603113412857056,
    0.04644397273659706,
    0.04616469517350197,
    0.04728144779801369,
    0.04736829176545143,
    0.048801228404045105,
    0.04977809637784958,
    0.04683011770248413,
    0.04133116081357002,
    0.03779734671115875,
    0.03808429464697838,
    0.03834650292992592,
    0.04073130711913109,
    0.0412643663585186,
    0.045264825224876404,
    0.04468734189867973,
    0.0458340123295784,
    0.0491277277469635,
    0.054991647601127625,
    0.05892185866832733,
    0.06009100377559662,
    0.06033666804432869,
    0.05748538672924042,
    0.05422201380133629,
    0.052736375480890274,
    0.051125574856996536,
    0.04681548848748207,
    0.04086153209209442,
    0.03721919283270836,
    0.0342826247215271,
    0.03036140277981758,
    0.028665604069828987,
    0.027319999411702156,
    0.02711927331984043,
    0.025085007771849632,
    0.023664036765694618,
    0.022455058991909027,
    0.02362339198589325,
    0.026572151109576225,
    0.02658230997622013,
    0.026858292520046234,
    0.02620149590075016,
    0.028304513543844223,
    0.02666483074426651,
    0.02600531280040741,
    0.025279557332396507,
    0.023652510717511177,
    0.022101862356066704,
    0.02192787639796734,
    0.024006566032767296,
    0.02544117160141468,
    0.029543649405241013,
    0.03144986927509308,
    0.034158527851104736,
    0.03723817318677902,
    0.040681712329387665,
    0.04189962521195412,
    0.04105612635612488,
    0.03921244665980339,
    0.03978310897946358,
    0.04294702410697937,
    0.044703222811222076,
    0.04362672567367554,
    0.0416017509996891,
    0.04323576018214226,
    0.045655734837055206,
    0.05008384957909584,
    0.05231545493006706,
    0.04982665181159973,
    0.04979624226689339,
    0.04977362975478172,
    0.05003511905670166,
    0.04972793534398079,
    0.04523077607154846,
    0.039125412702560425,
    0.03562334552407265,
    0.03415495902299881,
    0.0323522575199604,
    0.02943252958357334,
    0.026308035477995872,
    0.023869968950748444,
    0.021549275144934654,
    0.019791703671216965,
    0.018605682998895645,
    0.018660929054021835,
    0.019341101869940758,
    0.020160747691988945,
    0.020088784396648407,
    0.019451476633548737,
    0.02058664709329605,
    0.02228567562997341,
    0.02425115369260311,
    0.02567758969962597,
    0.02815447933971882,
    0.028160816058516502,
    0.029388515278697014,
    0.0284892488270998,
    0.03050057962536812,
    0.035638000816106796,
    0.036985307931900024,
    0.0380677729845047,
    0.03680713102221489,
    0.04174961894750595,
    0.04224081709980965,
    0.04395521432161331,
    0.0453953891992569,
    0.04491647332906723,
    0.04464120790362358,
    0.04134460538625717,
    0.03621022775769234,
    0.03249441832304001,
    0.030184246599674225,
    0.027932865545153618,
    0.0250681322067976,
    0.02485988661646843,
    0.02293001301586628,
    0.021589089184999466,
    0.018164625391364098,
    0.016225820407271385,
    0.015359824523329735,
    0.015014592558145523,
    0.015268010087311268,
    0.015713278204202652,
    0.016172533854842186,
    0.016091175377368927,
    0.01616962067782879,
    0.016396017745137215,
    0.015518035739660263,
    0.0152169493958354,
    0.015478268265724182,
    0.016119299456477165,
    0.017650151625275612,
    0.020510025322437286,
    0.023939285427331924,
    0.02668057568371296,
    0.02811271697282791,
    0.027811547741293907,
    0.02636207826435566,
    0.02457508258521557,
    0.023168811574578285,
    0.022280508652329445,
    0.02189640700817108,
    0.022548772394657135,
    0.024148879572749138,
    0.02494705468416214,
    0.028391553089022636,
    0.030629437416791916,
    0.03210978955030441,
    0.030331458896398544,
    0.028849931433796883,
    0.027421433478593826,
    0.025403857231140137,
    0.023512905463576317,
    0.02267235890030861,
    0.022690316662192345,
    0.024090442806482315,
    0.023120872676372528,
    0.021349551156163216,
    0.01834680140018463,
    0.017172684893012047,
    0.015714960172772408,
    0.015671996399760246,
    0.01589701883494854,
    0.01747281290590763,
    0.019373850896954536,
    0.02058218978345394,
    0.02403990551829338,
    0.02699277177453041,
    0.031285617500543594,
    0.031006937846541405,
    0.03038403019309044,
    0.029589757323265076,
    0.027587655931711197,
    0.025312140583992004,
    0.024256475269794464,
    0.0254161786288023,
    0.025661703199148178,
    0.025802886113524437,
    0.025839200243353844,
    0.02615661546587944,
    0.0270368829369545,
    0.028651686385273933,
    0.030602648854255676,
    0.03424126282334328,
    0.032176487147808075,
    0.0301635954529047,
    0.02851295843720436,
    0.02702081948518753,
    0.025731142610311508,
    0.026137424632906914,
    0.028068192303180695,
    0.028727980330586433,
    0.02832590416073799,
    0.027000736445188522,
    0.027475150302052498,
    0.03185185417532921,
    0.03779129311442375,
    0.043743956834077835,
    0.04882111772894859,
    0.05049281567335129,
    0.051948923617601395,
    0.05449021980166435,
    0.05629964917898178,
    0.05074925348162651,
    0.04888211563229561,
    0.05029108375310898,
    0.050685252994298935,
    0.04737694561481476,
    0.04758427292108536,
    0.046935465186834335,
    0.05053773522377014,
    0.05472021922469139,
    0.05601061135530472,
    0.05866088718175888,
    0.061773914843797684,
    0.06493561714887619,
    0.07203883677721024,
    0.07536470890045166,
    0.08054810017347336,
    0.08398759365081787,
    0.08651577681303024,
    0.09152727574110031,
    0.09135766327381134,
    0.09714857488870621,
    0.09786489605903625,
    0.0986618623137474,
    0.08794721215963364,
    0.08037165552377701,
    0.072881780564785,
    0.07078003138303757,
    0.06831397861242294,
    0.06474985182285309,
    0.062113162130117416,
    0.05720922723412514,
    0.05630810931324959,
    0.05583358183503151,
    0.0564330518245697,
    0.05615634098649025,
    0.05669518560171127,
    0.05693085119128227,
    0.0563938282430172,
    0.05706072226166725,
    0.058696191757917404,
    0.060658592730760574,
    0.06765427440404892,
    0.07606619596481323,
    0.08106788992881775,
    0.08219224959611893,
    0.08182763308286667,
    0.07887321710586548,
    0.0761415883898735,
    0.07803312689065933,
    0.08353018015623093,
    0.08863694220781326,
    0.09218217432498932,
    0.09544935822486877,
    0.09459525346755981,
    0.09805171936750412,
    0.10455801337957382,
    0.10633302479982376,
    0.10622912645339966,
    0.1033453494310379,
    0.09965929388999939,
    0.09337121248245239,
    0.08771034330129623,
    0.08377979695796967,
    0.08152400702238083,
    0.08120651543140411,
    0.08206319063901901,
    0.08114596456289291,
    0.08025605976581573,
    0.07225733995437622,
    0.06499990820884705,
    0.06035233661532402,
    0.057616643607616425,
    0.057605158537626266,
    0.05813693255186081,
    0.06079110875725746,
    0.06769343465566635,
    0.07045653462409973,
    0.07401520758867264,
    0.07586150616407394,
    0.07903318852186203,
    0.08946210145950317,
    0.10080410540103912,
    0.1038125604391098,
    0.1064535528421402,
    0.10888037085533142,
    0.11444686353206635,
    0.11978531628847122,
    0.12467983365058899,
    0.12402486056089401,
    0.1214805617928505,
    0.11976586282253265,
    0.11946025490760803,
    0.11902640759944916,
    0.11784018576145172,
    0.1117064580321312,
    0.10621253401041031,
    0.10559748858213425,
    0.09931256622076035,
    0.09508903324604034,
    0.0917975977063179,
    0.09115424752235413,
    0.0829094648361206,
    0.07982152700424194,
    0.07138893008232117,
    0.06748436391353607,
    0.06207172945141792,
    0.0710669606924057,
    0.07249744236469269,
    0.07099008560180664,
    0.06542592495679855,
    0.058866947889328,
    0.05412944033741951,
    0.05043536424636841,
    0.051651548594236374,
    0.04968811199069023,
    0.045875854790210724,
    0.0440581850707531,
    0.042554665356874466,
    0.04206204041838646,
    0.039753034710884094,
    0.04175958409905434,
    0.04515365883708,
    0.047583065927028656,
    0.048200324177742004,
    0.05304904282093048,
    0.056789591908454895,
    0.059261925518512726,
    0.06347018480300903,
    0.061472341418266296,
    0.058785486966371536,
    0.058648865669965744,
    0.06277142465114594,
    0.06682762503623962,
    0.07115326821804047,
    0.07560010254383087,
    0.07577415555715561,
    0.0781954675912857,
    0.082911916077137,
    0.0832882970571518,
    0.07972998917102814,
    0.07584363967180252,
    0.07257265597581863,
    0.07285737246274948,
    0.07363927364349365,
    0.07546447217464447,
    0.07309144735336304,
    0.06588222086429596,
    0.06604449450969696,
    0.06793635338544846,
    0.07454629987478256,
    0.07497651129961014,
    0.07698263227939606,
    0.07545312494039536,
    0.08121868222951889,
    0.08491151034832001,
    0.08826102316379547,
    0.08838233351707458,
    0.0876295417547226,
    0.08784032613039017,
    0.08831754326820374,
    0.09079085290431976,
    0.09089469909667969,
    0.0953773781657219,
    0.0946669727563858,
    0.0936138704419136,
    0.09118042141199112,
    0.09033854305744171,
    0.09092272818088531,
    0.09202957153320312,
    0.09006715565919876,
    0.08557504415512085,
    0.08093773573637009,
    0.07580994069576263,
    0.07263126224279404,
    0.06671484559774399,
    0.060290105640888214,
    0.05239717662334442,
    0.049699727445840836,
    0.048516545444726944,
    0.05137664079666138,
    0.054071877151727676,
    0.05812880024313927,
    0.061699625104665756,
    0.06735449284315109,
    0.07252435386180878,
    0.07771711051464081,
    0.08000252395868301,
    0.08571875095367432,
    0.08425461500883102,
    0.08382228761911392,
    0.0808602124452591,
    0.07449128478765488,
    0.06315110623836517,
    0.059940218925476074,
    0.05631770193576813,
    0.05157438665628433,
    0.04898658022284508,
    0.04377375543117523,
    0.04137459769845009,
    0.03536752238869667,
    0.034444667398929596,
    0.031442876905202866,
    0.028268514201045036,
    0.025395134463906288,
    0.025620099157094955,
    0.027025973424315453,
    0.02803722396492958,
    0.02728000096976757,
    0.028112201020121574,
    0.029445886611938477,
    0.03351391851902008,
    0.03767833113670349,
    0.039479997009038925,
    0.04349730908870697,
    0.046409472823143005,
    0.04996844753623009,
    0.0536767952144146,
    0.059455662965774536,
    0.06382139772176743,
    0.06688772886991501,
    0.07141473889350891,
    0.07369518280029297,
    0.07421831041574478,
    0.07722658663988113,
    0.07661983370780945,
    0.0783381462097168,
    0.07991016656160355,
    0.0807264968752861,
    0.0787409096956253,
    0.075349360704422,
    0.07560060173273087,
    0.07248276472091675,
    0.07232999801635742,
    0.07351803779602051,
    0.07364467531442642,
    0.06913365423679352,
    0.060464754700660706,
    0.062341127544641495,
    0.06385862827301025,
    0.06678484380245209,
    0.06529376655817032,
    0.06553950905799866,
    0.06640398502349854,
    0.06793146580457687,
    0.07483398169279099,
    0.07629350572824478,
    0.07463788986206055,
    0.0709279254078865,
    0.0664491280913353,
    0.062129221856594086,
    0.05598768591880798,
    0.051695335656404495,
    0.045889463275671005,
    0.04244638979434967,
    0.03959302231669426,
    0.037553101778030396,
    0.03399740532040596,
    0.030865268781781197,
    0.028145212680101395,
    0.026794742792844772,
    0.027267007157206535,
    0.028785087168216705,
    0.03102187253534794,
    0.03127744793891907,
    0.032447151839733124,
    0.034370921552181244,
    0.033038098365068436,
    0.03548167273402214,
    0.03680301457643509,
    0.039796434342861176,
    0.03937110677361488,
    0.0352887399494648,
    0.03467510640621185,
    0.03598809242248535,
    0.03934119641780853,
    0.043403469026088715,
    0.04599175602197647,
    0.047720082104206085,
    0.048033457249403,
    0.05474002659320831,
    0.05746375024318695,
    0.05772101506590843,
    0.0541725717484951,
    0.05099892243742943,
    0.04911958426237106,
    0.04869414120912552,
    0.05001804605126381,
    0.04996262863278389,
    0.0538671500980854,
    0.05244245007634163,
    0.051563750952482224,
    0.04839251562952995,
    0.04882688820362091,
    0.05004143342375755,
    0.050069231539964676,
    0.04749054089188576,
    0.04643643647432327,
    0.04310634732246399,
    0.043858930468559265,
    0.04894100874662399,
    0.054407998919487,
    0.06355699896812439,
    0.07243961095809937,
    0.0730859711766243,
    0.07733018696308136,
    0.07740239799022675,
    0.07217254489660263,
    0.06296257674694061,
    0.058923039585351944,
    0.05678239092230797,
    0.0554865300655365,
    0.04957449436187744,
    0.04309330880641937,
    0.03605255112051964,
    0.03453785553574562,
    0.03229358419775963,
    0.030375925824046135,
    0.027969451621174812,
    0.02768883854150772,
    0.02873908542096615,
    0.029060475528240204,
    0.02480422519147396,
    0.022499067708849907,
    0.02403836138546467,
    0.025531981140375137,
    0.027706367895007133,
    0.025538530200719833,
    0.02519129030406475,
    0.027866290882229805,
    0.03207523375749588,
    0.0399557389318943,
    0.044678062200546265,
    0.04764678701758385,
    0.049988579005002975,
    0.05408840999007225,
    0.053973011672496796,
    0.04709308594465256,
    0.04709393158555031,
    0.04522290825843811,
    0.04250829666852951,
    0.038499344140291214,
    0.03555231913924217,
    0.029039064422249794,
    0.026541072875261307,
    0.02365673892199993,
    0.022012563422322273,
    0.02186335250735283,
    0.021012643352150917,
    0.02129693701863289,
    0.02299114130437374,
    0.023480281233787537,
    0.024236205965280533,
    0.026468820869922638,
    0.02903388999402523,
    0.030855847522616386,
    0.03196306899189949,
    0.03453458100557327,
    0.03726080432534218,
    0.037301067262887955,
    0.03550272807478905,
    0.03191942721605301,
    0.029829001054167747,
    0.02750774845480919,
    0.02475736476480961,
    0.024171113967895508,
    0.024492906406521797,
    0.02267981506884098,
    0.02068115584552288,
    0.019284440204501152,
    0.0177324116230011,
    0.01736052706837654,
    0.017186878249049187,
    0.0173756405711174,
    0.01740657165646553,
    0.017640331760048866,
    0.018053317442536354,
    0.016398023813962936,
    0.0163953248411417,
    0.01823899894952774,
    0.018524743616580963,
    0.02017621509730816,
    0.02302435226738453,
    0.02185918763279915,
    0.02276487834751606,
    0.0251972284168005,
    0.026224525645375252,
    0.030535196885466576,
    0.035692013800144196,
    0.039662543684244156,
    0.04050421342253685,
    0.039307691156864166,
    0.03958583250641823,
    0.043540142476558685,
    0.047173965722322464,
    0.04605189338326454,
    0.04417983070015907,
    0.043539635837078094,
    0.04230255261063576,
    0.04269009828567505,
    0.041957542300224304,
    0.03895670548081398,
    0.03640846908092499,
    0.03544345870614052,
    0.03175835683941841,
    0.029015161097049713,
    0.02800874598324299,
    0.025468165054917336,
    0.027608444914221764,
    0.02443065121769905,
    0.021675046533346176,
    0.020563306286931038,
    0.019468791782855988,
    0.01917378231883049,
    0.01905027963221073,
    0.01900080032646656,
    0.019010357558727264,
    0.019950607791543007,
    0.020644566044211388,
    0.023657605051994324,
    0.02537200227379799,
    0.024081625044345856,
    0.024322692304849625,
    0.025588875636458397,
    0.0239112488925457,
    0.022734612226486206,
    0.023954201489686966,
    0.022715868428349495,
    0.020797239616513252,
    0.0205792635679245,
    0.01970263198018074,
    0.019633950665593147,
    0.018679730594158173,
    0.018554434180259705,
    0.018469199538230896,
    0.017099842429161072,
    0.017770057544112206,
    0.0178904477506876,
    0.017754651606082916,
    0.017247334122657776,
    0.017319001257419586,
    0.016893509775400162,
    0.01565200835466385,
    0.01467551663517952,
    0.014383308589458466,
    0.014697162434458733,
    0.014901750721037388,
    0.014305165968835354,
    0.013854537159204483,
    0.013616262003779411,
    0.013790071941912174,
    0.013885438442230225,
    0.013800626620650291,
    0.015521197579801083,
    0.015097721479833126,
    0.014662896282970905,
    0.014723549596965313,
    0.014843052253127098,
    0.015044085681438446,
    0.013481110334396362,
    0.016022898256778717,
    0.01698535867035389,
    0.018003487959504128,
    0.01818760111927986,
    0.01948358863592148,
    0.023170992732048035,
    0.024718027561903,
    0.027326496317982674,
    0.029367519542574883,
    0.032236382365226746,
    0.03524904325604439,
    0.0372878760099411,
    0.03931144252419472,
    0.041692882776260376,
    0.04182028770446777,
    0.04479890689253807,
    0.046010613441467285,
    0.045963216572999954,
    0.04610493406653404,
    0.04722261801362038,
    0.051785342395305634,
    0.0555344820022583,
    0.060808222740888596,
    0.061639584600925446,
    0.06000418961048126,
    0.059655848890542984,
    0.06702783703804016,
    0.06832367926836014,
    0.07037267833948135,
    0.07668675482273102,
    0.07959766685962677,
    0.08286985009908676,
    0.08466625213623047,
    0.08554364740848541,
    0.08519352227449417,
    0.08648201823234558,
    0.09041932970285416,
    0.09893833845853806,
    0.09820963442325592,
    0.09703251719474792,
    0.09662795066833496,
    0.09623268991708755,
    0.10026402026414871,
    0.10770341753959656,
    0.10467231273651123,
    0.10329356044530869,
    0.10405143350362778,
    0.10390278697013855,
    0.10477042198181152,
    0.10515991598367691,
    0.1060948371887207,
    0.10578048974275589,
    0.10450045764446259,
    0.10409915447235107,
    0.10256771743297577,
    0.10188862681388855,
    0.0997079536318779,
    0.09964105486869812,
    0.09927446395158768,
    0.09869769960641861,
    0.0966523215174675,
    0.0943540707230568,
    0.09277331084012985,
    0.09160003066062927,
    0.08920829743146896,
    0.08726699650287628,
    0.08587580174207687,
    0.08336886763572693,
    0.08040676265954971,
    0.07719064503908157,
    0.07405930757522583,
    0.07101596891880035,
    0.06775347888469696,
    0.06667870283126831,
    0.06506506353616714,
    0.06302787363529205,
    0.057262636721134186,
    0.05484452471137047,
    0.05084623768925667,
    0.05120937526226044,
    0.05358279496431351,
    0.051569465547800064,
    0.04760013893246651,
    0.046012263745069504,
    0.04318015277385712,
    0.04041939601302147,
    0.03900085762143135,
    0.03757074475288391,
    0.03120855614542961,
    0.024766940623521805,
    0.020455045625567436,
    0.017715243622660637,
    0.016475530341267586,
    0.0156840942800045,
    0.015145656652748585,
    0.015045879408717155,
    0.01509359572082758,
    0.014937919564545155,
    0.014949045144021511,
    0.015254385769367218,
    0.019490020349621773,
    0.024208471179008484,
    0.029462449252605438,
    0.03550592064857483,
    0.046435169875621796,
    0.05197775736451149,
    0.05983662232756615,
    0.06284426897764206,
    0.06303460896015167,
    0.06315916031599045,
    0.060650601983070374,
    0.06255831569433212,
    0.06044650822877884,
    0.059841688722372055,
    0.057008713483810425,
    0.056355323642492294,
    0.05358273535966873,
    0.05230157822370529,
    0.04963856562972069,
    0.047750115394592285,
    0.045402154326438904,
    0.04340149089694023,
    0.040879637002944946,
    0.037642743438482285,
    0.03449453040957451,
    0.03167952597141266,
    0.029687441885471344,
    0.027159245684742928,
    0.025611402466893196,
    0.02533789910376072,
    0.02773093245923519,
    0.028974415734410286,
    0.03131789341568947,
    0.03417238965630531,
    0.037684421986341476,
    0.039661046117544174,
    0.04285041615366936,
    0.04357091337442398,
    0.04124027118086815,
    0.03952224925160408,
    0.03738054633140564,
    0.034476399421691895,
    0.030578652396798134,
    0.025478707626461983,
    0.021795261651277542,
    0.01939508691430092,
    0.017223799601197243,
    0.015066400170326233,
    0.014345704577863216,
    0.013642147183418274,
    0.01355898566544056,
    0.012893080711364746,
    0.013269491493701935,
    0.012943675741553307,
    0.01237347163259983,
    0.012563102878630161,
    0.013144304044544697,
    0.01272849552333355,
    0.011911323294043541,
    0.011361376382410526,
    0.011014338582754135,
    0.01065339520573616,
    0.01052904687821865,
    0.010668925940990448,
    0.011165167205035686,
    0.010949487797915936,
    0.010330726392567158,
    0.010156264528632164,
    0.010427180677652359,
    0.010796467773616314,
    0.011436298489570618,
    0.012689007446169853,
    0.013999196700751781,
    0.014316460117697716,
    0.014599382877349854,
    0.015258118510246277,
    0.015410415828227997,
    0.014659487642347813,
    0.014216323383152485,
    0.013752936385571957,
    0.013542572036385536,
    0.012825772166252136,
    0.012648806907236576,
    0.012530745938420296,
    0.012596158310770988,
    0.013361407443881035,
    0.01444901991635561,
    0.014188029803335667,
    0.012880027294158936,
    0.012148125097155571,
    0.012004392221570015,
    0.011599132791161537,
    0.011307546868920326,
    0.011335114948451519,
    0.01193215698003769,
    0.012123070657253265,
    0.011688679456710815,
    0.011346587911248207,
    0.010968392714858055,
    0.01068788766860962,
    0.01028173416852951,
    0.010131731629371643,
    0.009977846406400204,
    0.009906881488859653,
    0.009926624596118927,
    0.010213888250291348,
    0.010811608284711838,
    0.011198952794075012,
    0.011320156045258045,
    0.011995647102594376,
    0.012454596348106861,
    0.012354932725429535,
    0.012381440959870815,
    0.01188688538968563,
    0.012028140015900135,
    0.011974546127021313,
    0.011352735571563244,
    0.01140619721263647,
    0.011579927988350391,
    0.011960523203015327,
    0.011874670162796974,
    0.012091581709682941,
    0.013138175942003727,
    0.014428792521357536,
    0.014800340868532658,
    0.01449831947684288,
    0.014281061477959156,
    0.014000065624713898,
    0.013619317673146725,
    0.013333343900740147,
    0.01305815577507019,
    0.012557721696794033,
    0.012242999859154224,
    0.011861708015203476,
    0.011445093899965286,
    0.011079853400588036,
    0.010827627032995224,
    0.010582558810710907,
    0.010429115034639835,
    0.010296840220689774,
    0.010222526267170906,
    0.010400813072919846,
    0.01098908856511116,
    0.011462717317044735,
    0.01195997092872858,
    0.012600162997841835,
    0.012254197150468826,
    0.012146673165261745,
    0.012345865368843079,
    0.012028299272060394,
    0.011726528406143188,
    0.012387308292090893,
    0.012803013436496258,
    0.012898949906229973,
    0.013256242498755455,
    0.013487333431839943,
    0.012855811975896358,
    0.011811967939138412,
    0.011401724070310593,
    0.011143268086016178,
    0.010712899267673492,
    0.010460450313985348,
    0.010348540730774403,
    0.009322410449385643,
    0.008284410461783409,
    0.007648569997400045,
    0.007269829511642456,
    0.0070480601862072945,
    0.007047819904983044,
    0.007363298442214727,
    0.007809844799339771,
    0.008406814187765121,
    0.008915849030017853,
    0.00907930824905634,
    0.009317664429545403,
    0.009129195474088192,
    0.008951734751462936,
    0.00833936594426632,
    0.0079733207821846,
    0.008143078535795212,
    0.008153436705470085,
    0.008394889533519745,
    0.008752393536269665,
    0.009028680622577667,
    0.008877617307007313,
    0.008640673011541367,
    0.00824308767914772,
    0.008075092919170856,
    0.007991917431354523,
    0.00792286079376936,
    0.008034171536564827,
    0.008112850598990917,
    0.008144943043589592,
    0.008071274496614933,
    0.00802035816013813,
    0.008097263984382153,
    0.008073107339441776,
    0.008272282779216766,
    0.008489520289003849,
    0.008728312328457832,
    0.009271976538002491,
    0.00942976213991642,
    0.009425599128007889,
    0.009224850684404373,
    0.009023383259773254,
    0.009114153683185577,
    0.009262419305741787,
    0.009267357178032398,
    0.008924689143896103,
    0.008108635433018208,
    0.007561312057077885,
    0.007136555854231119,
    0.007105142343789339,
    0.007156914100050926,
    0.007413150276988745,
    0.007698698900640011,
    0.00827526394277811,
    0.008605128154158592,
    0.008670483715832233,
    0.00819353386759758,
    0.008133536204695702,
    0.007733411621302366,
    0.0073650553822517395,
    0.007197579834610224,
    0.007096012122929096,
    0.007219788618385792,
    0.007378694601356983,
    0.007683352567255497,
    0.007898789830505848,
    0.0078028468415141106,
    0.007704547606408596,
    0.007745569571852684,
    0.007835997268557549,
    0.007574326824396849,
    0.007790814153850079,
    0.00809879694133997,
    0.008009587414562702,
    0.008231245912611485,
    0.00822271779179573,
    0.008388759568333626,
    0.008629492484033108,
    0.009212163276970387,
    0.009952258318662643,
    0.010502809658646584,
    0.011510096490383148,
    0.012192840687930584,
    0.013308487832546234,
    0.01330061350017786,
    0.01324017345905304,
    0.012466109357774258,
    0.011476384475827217,
    0.010429213754832745,
    0.009859097190201283,
    0.009418793953955173,
    0.009182706475257874,
    0.009226894937455654,
    0.00933124404400587,
    0.009313372895121574,
    0.008930734358727932,
    0.009130079299211502,
    0.009432689286768436,
    0.009191491641104221,
    0.009156210348010063,
    0.009106427431106567,
    0.00948686059564352,
    0.010054115206003189,
    0.009846894070506096,
    0.00982280820608139,
    0.009567203931510448,
    0.009172252379357815,
    0.008892763406038284,
    0.008768720552325249,
    0.008707432076334953,
    0.008831067010760307,
    0.009160105139017105,
    0.009694961830973625,
    0.010179415345191956,
    0.010718828067183495,
    0.011320327408611774,
    0.012754857540130615,
    0.013190296478569508,
    0.012773117981851101,
    0.013074210844933987,
    0.014410421252250671,
    0.014020913280546665,
    0.013175222091376781,
    0.013254553079605103,
    0.013053461909294128,
    0.013320659287273884,
    0.013862709514796734,
    0.013822306878864765,
    0.013762524351477623,
    0.014070776291191578,
    0.014457178302109241,
    0.015501180663704872,
    0.01644657924771309,
    0.016168057918548584,
    0.015800317749381065,
    0.01582580804824829,
    0.016000166535377502,
    0.016598906368017197,
    0.017867572605609894,
    0.01903972402215004,
    0.02047065459191799,
    0.020574579015374184,
    0.02011127397418022,
    0.02004382573068142,
    0.019746683537960052,
    0.019824931398034096,
    0.019501041620969772,
    0.019784074276685715,
    0.01992189697921276,
    0.019923796877264977,
    0.020181965082883835,
    0.02040794864296913,
    0.021059498190879822,
    0.021665852516889572,
    0.02264050394296646,
    0.024036744609475136,
    0.02588825672864914,
    0.02790076658129692,
    0.029230421409010887,
    0.029848745092749596,
    0.030214691534638405,
    0.03385980427265167,
    0.042114224284887314,
    0.04928835481405258,
    0.04986386373639107,
    0.0515759252011776,
    0.05607747659087181,
    0.05896233394742012,
    0.06088599935173988,
    0.06334524601697922,
    0.07217200100421906,
    0.0834021046757698,
    0.09380333870649338,
    0.1052047461271286,
    0.09844519197940826,
    0.09468657523393631,
    0.10551644116640091,
    0.12602047622203827,
    0.14849534630775452,
    0.1537904143333435,
    0.1480550915002823,
    0.1398678869009018,
    0.1372854858636856,
    0.139373779296875,
    0.1391029953956604,
    0.1431005895137787,
    0.1455889791250229,
    0.1506824940443039,
    0.1467045694589615,
    0.13023202121257782,
    0.14384375512599945,
    0.1692495048046112,
    0.16451668739318848,
    0.15339668095111847,
    0.18336275219917297,
    0.2047089785337448,
    0.1965896338224411,
    0.2170393168926239,
    0.21522755920886993,
    0.2401067614555359,
    0.22705960273742676,
    0.21680031716823578,
    0.20870444178581238,
    0.2347644567489624,
    0.2445451319217682,
    0.2530873715877533,
    0.22642216086387634,
    0.22131654620170593,
    0.219087153673172,
    0.24029219150543213,
    0.27858588099479675,
    0.2900872230529785,
    0.283878892660141,
    0.24531522393226624,
    0.23260259628295898,
    0.2561427354812622,
    0.27093786001205444,
    0.26073309779167175,
    0.2589177191257477,
    0.24094906449317932,
    0.23907586932182312,
    0.24247564375400543,
    0.23854951560497284,
    0.22855189442634583,
    0.22221192717552185,
    0.2171882539987564,
    0.23536700010299683,
    0.2380717396736145,
    0.23431944847106934,
    0.23313221335411072,
    0.24759550392627716,
    0.269320011138916,
    0.2802305817604065,
    0.29328060150146484,
    0.3017321228981018,
    0.2861592471599579,
    0.28229615092277527,
    0.30595195293426514,
    0.31112033128738403,
    0.33840838074684143,
    0.35043057799339294,
    0.3568582832813263,
    0.3727932870388031,
    0.34686270356178284,
    0.34597811102867126,
    0.34771203994750977,
    0.35131239891052246,
    0.345243364572525,
    0.35359761118888855,
    0.3641481399536133,
    0.37750425934791565,
    0.394999235868454,
    0.39699608087539673,
    0.42547279596328735,
    0.44934457540512085,
    0.44753560423851013,
    0.422698438167572,
    0.41953518986701965,
    0.42013421654701233,
    0.42544397711753845,
    0.4516308605670929,
    0.4614458382129669,
    0.4525004029273987,
    0.4569464921951294,
    0.45091965794563293,
    0.4457176625728607,
    0.4270641803741455,
    0.4369768500328064,
    0.4298223853111267,
    0.43578198552131653,
    0.43721115589141846,
    0.43673887848854065,
    0.43888384103775024,
    0.4326094686985016,
    0.4421194791793823,
    0.4340437054634094,
    0.4305149018764496,
    0.439357727766037,
    0.4353182911872864,
    0.4414781332015991,
    0.4431241750717163,
    0.4526812434196472,
    0.45374956727027893,
    0.45921239256858826,
    0.4465087354183197,
    0.44480594992637634,
    0.4514758288860321,
    0.44798630475997925,
    0.4404902458190918,
    0.44230005145072937,
    0.4408484101295471,
    0.43827760219573975,
    0.43343618512153625,
    0.43201953172683716,
    0.4324125349521637,
    0.43468186259269714,
    0.4371034502983093,
    0.4418586194515228,
    0.4540950059890747,
    0.46299678087234497,
    0.48133984208106995,
    0.4853297770023346,
    0.49742788076400757,
    0.48884421586990356,
    0.5049806833267212,
    0.5118027925491333,
    0.5256036520004272,
    0.5243722796440125,
    0.5145544409751892,
    0.5140905380249023,
    0.5131998062133789,
    0.5096020102500916,
    0.5156611800193787,
    0.5119288563728333,
    0.5128236413002014,
    0.5066741108894348,
    0.49780431389808655,
    0.49481719732284546,
    0.49297410249710083,
    0.49308329820632935,
    0.49777334928512573,
    0.5080559849739075,
    0.5100888013839722,
    0.5068359971046448,
    0.5035930871963501,
    0.5026652812957764,
    0.5061556100845337,
    0.5189114212989807,
    0.5303202867507935,
    0.5286104679107666,
    0.526534378528595,
    0.5245596170425415,
    0.5245478749275208,
    0.5265858769416809,
    0.5331994891166687,
    0.5377402305603027,
    0.5412351489067078,
    0.5409690737724304,
    0.5428659319877625,
    0.5346424579620361,
    0.5269588828086853,
    0.5419224500656128,
    0.5411859750747681,
    0.5436951518058777,
    0.5367347002029419,
    0.5446294546127319,
    0.542963981628418,
    0.5535681843757629,
    0.5588288903236389,
    0.5629911422729492,
    0.5654150247573853,
    0.5655513405799866,
    0.5616856813430786,
    0.5645390748977661,
    0.5672337412834167,
    0.5672996640205383,
    0.5632781386375427,
    0.5721994638442993,
    0.5704192519187927,
    0.5794529914855957,
    0.5752131938934326,
    0.5694180130958557,
    0.5615912079811096,
    0.5586035847663879,
    0.5517715811729431,
    0.5512942671775818,
    0.5469108819961548,
    0.5460827350616455,
    0.5390156507492065,
    0.5306344628334045,
    0.5276987552642822,
    0.5264237523078918,
    0.5375981330871582,
    0.5487542152404785,
    0.5470409393310547,
    0.5363708734512329,
    0.5148935317993164,
    0.4891144931316376,
    0.4701344966888428,
    0.4768960475921631,
    0.4700636863708496,
    0.4992188513278961,
    0.5104557871818542,
    0.5129827260971069,
    0.46238836646080017,
    0.44600793719291687,
    0.4625050723552704,
    0.4737509787082672,
    0.4847314953804016,
    0.4860256314277649,
    0.484968900680542,
    0.4907788932323456,
    0.49580779671669006,
    0.5047488808631897,
    0.5131849050521851,
    0.5170292258262634,
    0.5135788917541504,
    0.5122342705726624,
    0.5087608695030212,
    0.5416215062141418,
    0.5683701634407043,
    0.5619415640830994,
    0.5500882863998413,
    0.5490449070930481,
    0.523566722869873,
    0.5286430716514587,
    0.5541946291923523,
    0.5652068853378296,
    0.5547956824302673,
    0.5739951729774475,
    0.5873164534568787,
    0.5591744184494019,
    0.525082528591156,
    0.5198639631271362,
    0.5008559226989746,
    0.5184165835380554,
    0.5140660405158997,
    0.5085362195968628,
    0.48638471961021423,
    0.47753310203552246,
    0.46470513939857483,
    0.4665803909301758,
    0.4576604664325714,
    0.4567391276359558,
    0.45330125093460083,
    0.4491007924079895,
    0.4454730153083801,
    0.44146591424942017,
    0.43443796038627625,
    0.4166032373905182,
    0.4014716148376465,
    0.38968008756637573,
    0.4021608233451843,
    0.41741353273391724,
    0.4532358646392822,
    0.4425731599330902,
    0.42822733521461487,
    0.413309782743454,
    0.39987248182296753,
    0.3864040672779083,
    0.37265676259994507,
    0.40392976999282837,
    0.40011098980903625,
    0.430716872215271,
    0.4297388792037964,
    0.4405018091201782,
    0.4501708149909973,
    0.45467355847358704,
    0.4522293210029602,
    0.4521991014480591,
    0.4570086598396301,
    0.44750475883483887,
    0.44478198885917664,
    0.44414955377578735,
    0.44313231110572815,
    0.44457370042800903,
    0.4418056607246399,
    0.4413946270942688,
    0.4339463412761688,
    0.43155765533447266,
    0.42161452770233154,
    0.40449491143226624,
    0.3952927887439728,
    0.3887156546115875,
    0.3818655014038086,
    0.38526812195777893,
    0.40471646189689636,
    0.4300016462802887,
    0.4384925365447998,
    0.42986810207366943,
    0.41362395882606506,
    0.3982594907283783,
    0.3945797383785248,
    0.41578158736228943,
    0.43433699011802673,
    0.45195531845092773,
    0.4674955904483795,
    0.48040318489074707,
    0.4835398495197296,
    0.4846256375312805,
    0.48289236426353455,
    0.4767134189605713,
    0.46801429986953735,
    0.4594217836856842,
    0.47023969888687134,
    0.4927382171154022,
    0.5036889314651489,
    0.48954659700393677,
    0.4767446517944336,
    0.4652046859264374,
    0.48508185148239136,
    0.4980604946613312,
    0.5179470181465149,
    0.5481667518615723,
    0.5798873901367188,
    0.6064687371253967,
    0.6172643303871155,
    0.6259492635726929,
    0.6259521842002869,
    0.6333914399147034,
    0.6484978795051575,
    0.6368262767791748,
    0.5957710146903992
  ],
  "sequence_id": "sp|Q9NYQ6|CELR1_HUMAN",
  "sequence_id_short": "Q9NYQ6",
  "backbone_mean": 0.8003603848706039,
  "backbone_median": 0.80525,
  "backbone_variance": 0.010616391324246119,
  "backbone_stdev": 0.10303587396749794,
  "backbone_pvariance": 0.01061286896481538,
  "backbone_pstdev": 0.10301877967057937,
  "backbone_min": 0.472,
  "backbone_max": 1.1078999999999997,
  "sidechain_mean": 0.5146364134041141,
  "sidechain_median": 0.54355,
  "sidechain_variance": 0.012922130723906038,
  "sidechain_stdev": 0.11367555024677047,
  "sidechain_pvariance": 0.012917843354720933,
  "sidechain_pstdev": 0.11365669076090916,
  "sidechain_min": 0.1989,
  "sidechain_max": 0.7441999999999999,
  "ppII_mean": 0.0998782576111225,
  "ppII_median": 0.09467733325436711,
  "ppII_variance": 0.0026671320931737903,
  "ppII_stdev": 0.05164428422559258,
  "ppII_pvariance": 0.0026662471787434077,
  "ppII_pstdev": 0.05163571611533443,
  "ppII_min": -0.056876393500715494,
  "ppII_max": 0.2746051358990371,
  "coil_mean": 0.3929840393794556,
  "coil_median": 0.3919910341501236,
  "coil_variance": 0.017612248265526285,
  "coil_stdev": 0.1327111459732237,
  "coil_pvariance": 0.017606404785677075,
  "coil_pstdev": 0.13268912836279043,
  "coil_min": 0.0010122358798980713,
  "coil_max": 0.7730642408132553,
  "sheet_mean": 0.3069486596337912,
  "sheet_median": 0.30555254966020584,
  "sheet_variance": 0.021318124333035083,
  "sheet_stdev": 0.1460072749318851,
  "sheet_pvariance": 0.021311051299082517,
  "sheet_pstdev": 0.14598305141036927,
  "sheet_min": -0.1533651053905487,
  "sheet_max": 0.7532091587781906,
  "helix_mean": 0.2684189399942884,
  "helix_median": 0.27325473399832845,
  "helix_variance": 0.04054190998690262,
  "helix_stdev": 0.20135021725069635,
  "helix_pvariance": 0.040528458789163106,
  "helix_pstdev": 0.20131681198837595,
  "helix_min": -0.3184272274374962,
  "helix_max": 0.8676503375172615,
  "earlyFolding_mean": 0.046806130807607114,
  "earlyFolding_median": 0.020696597624135477,
  "earlyFolding_variance": 0.005059956155646074,
  "earlyFolding_stdev": 0.07113336879163024,
  "earlyFolding_pvariance": 0.005058277338076185,
  "earlyFolding_pstdev": 0.07112156732016094,
  "earlyFolding_min": 0.0005209002747230076,
  "earlyFolding_max": 0.6065818743762309,
  "agmata_mean": 0.03156047800650374,
  "agmata_median": 2.279469e-06,
  "agmata_variance": 0.15609106736441103,
  "agmata_stdev": 0.39508362072403236,
  "agmata_pvariance": 0.15603927868910764,
  "agmata_pstdev": 0.39501807387650967,
  "agmata_min": 0.0,
  "agmata_max": 10.44665,
  "disoMine_mean": 0.07629869383708503,
  "disoMine_median": 0.022259332239627838,
  "disoMine_variance": 0.01763748088189817,
  "disoMine_stdev": 0.1328061778754971,
  "disoMine_pvariance": 0.01763162903024525,
  "disoMine_pstdev": 0.13278414449867593,
  "disoMine_min": 0.007047819904983044,
  "disoMine_max": 0.6484978795051575,
  "complexity_mean": 7.854346383543464,
  "complexity_median": 8.0,
  "complexity_variance": 1.7295247468886759,
  "complexity_stdev": 1.3151139672624101,
  "complexity_pvariance": 1.7289509165147912,
  "complexity_pstdev": 1.314895781617232,
  "complexity_min": 3.0,
  "complexity_max": 11.0,
  "arg_mean": 0.7518248175182481,
  "arg_median": 1.0,
  "arg_variance": 0.8683587665129935,
  "arg_stdev": 0.9318576964928676,
  "arg_pvariance": 0.868070658096765,
  "arg_pstdev": 0.9317030954637668,
  "arg_min": 0.0,
  "arg_max": 5.0,
  "tyr_mean": 0.291970802919708,
  "tyr_median": 0.0,
  "tyr_variance": 0.273171488028761,
  "tyr_stdev": 0.5226580985967414,
  "tyr_pvariance": 0.273080853825699,
  "tyr_pstdev": 0.5225713863441999,
  "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": 1.387193098871931,
  "disorder_median": 1.0,
  "disorder_variance": 1.2283921850701813,
  "disorder_stdev": 1.1083285546579504,
  "disorder_pvariance": 1.2279846229649822,
  "disorder_pstdev": 1.1081446760080482,
  "disorder_min": 1.0,
  "disorder_max": 6.0
}