{
  "seq": [
    "M",
    "N",
    "I",
    "N",
    "D",
    "G",
    "G",
    "R",
    "R",
    "R",
    "F",
    "E",
    "D",
    "N",
    "E",
    "H",
    "T",
    "L",
    "R",
    "I",
    "Y",
    "P",
    "G",
    "A",
    "I",
    "S",
    "E",
    "G",
    "T",
    "I",
    "Y",
    "C",
    "P",
    "I",
    "P",
    "A",
    "R",
    "K",
    "N",
    "S",
    "T",
    "A",
    "A",
    "E",
    "V",
    "I",
    "E",
    "S",
    "L",
    "I",
    "N",
    "K",
    "L",
    "H",
    "L",
    "D",
    "K",
    "T",
    "K",
    "C",
    "Y",
    "V",
    "L",
    "A",
    "E",
    "V",
    "K",
    "E",
    "F",
    "G",
    "G",
    "E",
    "E",
    "W",
    "I",
    "L",
    "N",
    "P",
    "T",
    "D",
    "C",
    "P",
    "V",
    "Q",
    "R",
    "M",
    "M",
    "L",
    "W",
    "P",
    "R",
    "M",
    "A",
    "L",
    "E",
    "N",
    "R",
    "L",
    "S",
    "G",
    "E",
    "D",
    "Y",
    "R",
    "F",
    "L",
    "L",
    "R",
    "E",
    "K",
    "N",
    "L",
    "D",
    "G",
    "S",
    "I",
    "H",
    "Y",
    "G",
    "S",
    "L",
    "Q",
    "S",
    "W",
    "L",
    "R",
    "V",
    "T",
    "E",
    "E",
    "R",
    "R",
    "R",
    "M",
    "M",
    "E",
    "R",
    "G",
    "F",
    "L",
    "P",
    "Q",
    "P",
    "Q",
    "Q",
    "K",
    "D",
    "F",
    "D",
    "D",
    "L",
    "C",
    "S",
    "L",
    "P",
    "D",
    "L",
    "N",
    "E",
    "K",
    "T",
    "L",
    "L",
    "E",
    "N",
    "L",
    "R",
    "N",
    "R",
    "F",
    "K",
    "H",
    "E",
    "K",
    "I",
    "Y",
    "T",
    "Y",
    "V",
    "G",
    "S",
    "I",
    "L",
    "I",
    "V",
    "I",
    "N",
    "P",
    "F",
    "K",
    "F",
    "L",
    "P",
    "I",
    "Y",
    "N",
    "P",
    "K",
    "Y",
    "V",
    "K",
    "M",
    "Y",
    "D",
    "N",
    "H",
    "Q",
    "L",
    "G",
    "K",
    "L",
    "E",
    "P",
    "H",
    "I",
    "Y",
    "A",
    "V",
    "A",
    "D",
    "V",
    "A",
    "Y",
    "H",
    "A",
    "M",
    "L",
    "Q",
    "R",
    "K",
    "K",
    "N",
    "Q",
    "C",
    "I",
    "V",
    "I",
    "S",
    "G",
    "E",
    "S",
    "G",
    "S",
    "G",
    "K",
    "T",
    "Q",
    "S",
    "T",
    "N",
    "F",
    "L",
    "I",
    "H",
    "H",
    "L",
    "T",
    "A",
    "L",
    "S",
    "Q",
    "K",
    "G",
    "F",
    "A",
    "S",
    "G",
    "V",
    "E",
    "Q",
    "I",
    "I",
    "L",
    "G",
    "A",
    "G",
    "P",
    "V",
    "L",
    "E",
    "A",
    "F",
    "G",
    "N",
    "A",
    "K",
    "T",
    "A",
    "H",
    "N",
    "N",
    "N",
    "S",
    "S",
    "R",
    "F",
    "G",
    "K",
    "F",
    "I",
    "Q",
    "V",
    "N",
    "Y",
    "Q",
    "E",
    "T",
    "G",
    "T",
    "V",
    "L",
    "G",
    "A",
    "Y",
    "V",
    "E",
    "K",
    "Y",
    "L",
    "L",
    "E",
    "K",
    "S",
    "R",
    "L",
    "V",
    "Y",
    "Q",
    "E",
    "H",
    "N",
    "E",
    "R",
    "N",
    "Y",
    "H",
    "V",
    "F",
    "Y",
    "Y",
    "L",
    "L",
    "A",
    "G",
    "A",
    "S",
    "E",
    "D",
    "E",
    "R",
    "S",
    "A",
    "F",
    "H",
    "L",
    "K",
    "Q",
    "P",
    "E",
    "E",
    "Y",
    "H",
    "Y",
    "L",
    "N",
    "Q",
    "I",
    "T",
    "K",
    "K",
    "P",
    "L",
    "R",
    "Q",
    "S",
    "W",
    "D",
    "D",
    "Y",
    "C",
    "Y",
    "D",
    "S",
    "E",
    "P",
    "D",
    "C",
    "F",
    "T",
    "V",
    "E",
    "G",
    "E",
    "D",
    "L",
    "R",
    "H",
    "D",
    "F",
    "E",
    "R",
    "L",
    "Q",
    "L",
    "A",
    "M",
    "E",
    "M",
    "V",
    "G",
    "F",
    "L",
    "P",
    "K",
    "T",
    "R",
    "R",
    "Q",
    "I",
    "F",
    "S",
    "L",
    "L",
    "S",
    "A",
    "I",
    "L",
    "H",
    "L",
    "G",
    "N",
    "I",
    "C",
    "Y",
    "K",
    "K",
    "K",
    "T",
    "Y",
    "R",
    "D",
    "D",
    "S",
    "I",
    "D",
    "I",
    "C",
    "N",
    "P",
    "E",
    "V",
    "L",
    "P",
    "I",
    "V",
    "S",
    "E",
    "L",
    "L",
    "E",
    "V",
    "K",
    "E",
    "E",
    "M",
    "L",
    "F",
    "E",
    "A",
    "L",
    "V",
    "T",
    "R",
    "K",
    "T",
    "V",
    "T",
    "V",
    "G",
    "E",
    "K",
    "L",
    "I",
    "L",
    "P",
    "Y",
    "K",
    "L",
    "A",
    "E",
    "A",
    "V",
    "T",
    "V",
    "R",
    "N",
    "S",
    "M",
    "A",
    "K",
    "S",
    "L",
    "Y",
    "S",
    "A",
    "L",
    "F",
    "D",
    "W",
    "I",
    "V",
    "F",
    "R",
    "I",
    "N",
    "H",
    "A",
    "L",
    "L",
    "N",
    "S",
    "K",
    "D",
    "L",
    "E",
    "H",
    "N",
    "T",
    "K",
    "T",
    "L",
    "S",
    "I",
    "G",
    "V",
    "L",
    "D",
    "I",
    "F",
    "G",
    "F",
    "E",
    "D",
    "Y",
    "E",
    "N",
    "N",
    "S",
    "F",
    "E",
    "Q",
    "F",
    "C",
    "I",
    "N",
    "F",
    "A",
    "N",
    "E",
    "R",
    "L",
    "Q",
    "H",
    "Y",
    "F",
    "N",
    "Q",
    "H",
    "I",
    "F",
    "K",
    "L",
    "E",
    "Q",
    "E",
    "E",
    "Y",
    "R",
    "T",
    "E",
    "G",
    "I",
    "S",
    "W",
    "H",
    "N",
    "I",
    "D",
    "Y",
    "I",
    "D",
    "N",
    "T",
    "C",
    "C",
    "I",
    "N",
    "L",
    "I",
    "S",
    "K",
    "K",
    "P",
    "T",
    "G",
    "L",
    "L",
    "H",
    "L",
    "L",
    "D",
    "E",
    "E",
    "S",
    "N",
    "F",
    "P",
    "Q",
    "A",
    "T",
    "N",
    "Q",
    "T",
    "L",
    "L",
    "D",
    "K",
    "F",
    "K",
    "H",
    "Q",
    "H",
    "E",
    "D",
    "N",
    "S",
    "Y",
    "I",
    "E",
    "F",
    "P",
    "A",
    "V",
    "M",
    "E",
    "P",
    "A",
    "F",
    "I",
    "I",
    "K",
    "H",
    "Y",
    "A",
    "G",
    "K",
    "V",
    "K",
    "Y",
    "G",
    "V",
    "K",
    "D",
    "F",
    "R",
    "E",
    "K",
    "N",
    "T",
    "D",
    "H",
    "M",
    "R",
    "P",
    "D",
    "I",
    "V",
    "A",
    "L",
    "L",
    "R",
    "S",
    "S",
    "K",
    "N",
    "A",
    "F",
    "I",
    "S",
    "G",
    "M",
    "I",
    "G",
    "I",
    "D",
    "P",
    "V",
    "A",
    "V",
    "F",
    "R",
    "W",
    "A",
    "I",
    "L",
    "R",
    "A",
    "F",
    "F",
    "R",
    "A",
    "M",
    "V",
    "A",
    "F",
    "R",
    "E",
    "A",
    "G",
    "K",
    "R",
    "N",
    "I",
    "H",
    "R",
    "K",
    "T",
    "G",
    "H",
    "D",
    "D",
    "T",
    "A",
    "P",
    "C",
    "A",
    "I",
    "L",
    "K",
    "S",
    "M",
    "D",
    "S",
    "F",
    "S",
    "F",
    "L",
    "Q",
    "H",
    "P",
    "V",
    "H",
    "Q",
    "R",
    "S",
    "L",
    "E",
    "I",
    "L",
    "Q",
    "R",
    "C",
    "K",
    "E",
    "E",
    "K",
    "Y",
    "S",
    "I",
    "T",
    "R",
    "K",
    "N",
    "P",
    "R",
    "T",
    "P",
    "L",
    "S",
    "D",
    "L",
    "Q",
    "G",
    "M",
    "N",
    "A",
    "L",
    "N",
    "E",
    "K",
    "N",
    "Q",
    "H",
    "D",
    "T",
    "F",
    "D",
    "I",
    "A",
    "W",
    "N",
    "G",
    "R",
    "T",
    "G",
    "I",
    "R",
    "Q",
    "S",
    "R",
    "L",
    "S",
    "S",
    "G",
    "T",
    "S",
    "L",
    "L",
    "D",
    "K",
    "D",
    "G",
    "I",
    "F",
    "A",
    "N",
    "S",
    "T",
    "S",
    "S",
    "K",
    "L",
    "L",
    "E",
    "R",
    "A",
    "H",
    "G",
    "I",
    "L",
    "T",
    "R",
    "N",
    "K",
    "N",
    "F",
    "K",
    "S",
    "K",
    "P",
    "A",
    "L",
    "P",
    "K",
    "H",
    "L",
    "L",
    "E",
    "V",
    "N",
    "S",
    "L",
    "K",
    "H",
    "L",
    "T",
    "R",
    "L",
    "T",
    "L",
    "Q",
    "D",
    "R",
    "I",
    "T",
    "K",
    "S",
    "L",
    "L",
    "H",
    "L",
    "H",
    "K",
    "K",
    "K",
    "K",
    "P",
    "P",
    "S",
    "I",
    "S",
    "A",
    "Q",
    "F",
    "Q",
    "A",
    "S",
    "L",
    "S",
    "K",
    "L",
    "M",
    "E",
    "T",
    "L",
    "G",
    "Q",
    "A",
    "E",
    "P",
    "Y",
    "F",
    "V",
    "K",
    "C",
    "I",
    "R",
    "S",
    "N",
    "A",
    "E",
    "K",
    "L",
    "P",
    "L",
    "R",
    "F",
    "S",
    "D",
    "V",
    "L",
    "V",
    "L",
    "R",
    "Q",
    "L",
    "R",
    "Y",
    "T",
    "G",
    "M",
    "L",
    "E",
    "T",
    "V",
    "R",
    "I",
    "R",
    "Q",
    "S",
    "G",
    "Y",
    "S",
    "S",
    "K",
    "Y",
    "S",
    "F",
    "Q",
    "D",
    "F",
    "V",
    "S",
    "H",
    "F",
    "H",
    "V",
    "L",
    "L",
    "P",
    "R",
    "N",
    "I",
    "I",
    "P",
    "S",
    "K",
    "F",
    "N",
    "I",
    "Q",
    "D",
    "F",
    "F",
    "R",
    "K",
    "I",
    "N",
    "L",
    "N",
    "P",
    "D",
    "N",
    "Y",
    "Q",
    "V",
    "G",
    "K",
    "T",
    "M",
    "V",
    "F",
    "L",
    "K",
    "E",
    "Q",
    "E",
    "R",
    "Q",
    "H",
    "L",
    "Q",
    "D",
    "L",
    "L",
    "H",
    "Q",
    "E",
    "V",
    "L",
    "R",
    "R",
    "I",
    "I",
    "L",
    "L",
    "Q",
    "R",
    "W",
    "F",
    "R",
    "V",
    "L",
    "L",
    "C",
    "R",
    "Q",
    "H",
    "F",
    "L",
    "H",
    "L",
    "R",
    "Q",
    "A",
    "S",
    "V",
    "I",
    "I",
    "Q",
    "R",
    "F",
    "W",
    "R",
    "N",
    "Y",
    "L",
    "N",
    "Q",
    "K",
    "Q",
    "V",
    "R",
    "D",
    "A",
    "A",
    "V",
    "Q",
    "K",
    "D",
    "A",
    "F",
    "V",
    "M",
    "A",
    "S",
    "A",
    "A",
    "A",
    "L",
    "L",
    "Q",
    "A",
    "S",
    "W",
    "R",
    "A",
    "H",
    "L",
    "E",
    "R",
    "Q",
    "R",
    "Y",
    "L",
    "E",
    "L",
    "R",
    "A",
    "A",
    "A",
    "I",
    "V",
    "I",
    "Q",
    "Q",
    "K",
    "W",
    "R",
    "D",
    "Y",
    "Y",
    "R",
    "R",
    "R",
    "H",
    "M",
    "A",
    "A",
    "I",
    "C",
    "I",
    "Q",
    "A",
    "R",
    "W",
    "K",
    "A",
    "Y",
    "R",
    "E",
    "S",
    "K",
    "R",
    "Y",
    "Q",
    "E",
    "Q",
    "R",
    "K",
    "K",
    "I",
    "I",
    "L",
    "L",
    "Q",
    "S",
    "T",
    "C",
    "R",
    "G",
    "F",
    "R",
    "A",
    "R",
    "Q",
    "R",
    "F",
    "K",
    "A",
    "L",
    "K",
    "E",
    "Q",
    "R",
    "L",
    "R",
    "E",
    "T",
    "K",
    "P",
    "E",
    "V",
    "G",
    "L",
    "V",
    "N",
    "I",
    "K",
    "G",
    "Y",
    "G",
    "S",
    "L",
    "E",
    "I",
    "Q",
    "G",
    "S",
    "D",
    "P",
    "S",
    "G",
    "W",
    "E",
    "D",
    "C",
    "S",
    "F",
    "D",
    "N",
    "R",
    "I",
    "K",
    "A",
    "I",
    "E",
    "E",
    "C",
    "K",
    "S",
    "V",
    "I",
    "E",
    "S",
    "N",
    "R",
    "I",
    "S",
    "R",
    "E",
    "S",
    "S",
    "V",
    "D",
    "C",
    "L",
    "K",
    "E",
    "S",
    "P",
    "N",
    "K",
    "Q",
    "Q",
    "E",
    "R",
    "A",
    "Q",
    "S",
    "Q",
    "S",
    "G",
    "V",
    "D",
    "L",
    "Q",
    "E",
    "D",
    "V",
    "L",
    "V",
    "R",
    "E",
    "R",
    "P",
    "R",
    "S",
    "L",
    "E",
    "D",
    "L",
    "H",
    "Q",
    "K",
    "K",
    "V",
    "G",
    "R",
    "A",
    "K",
    "R",
    "E",
    "S",
    "R",
    "R",
    "M",
    "R",
    "E",
    "L",
    "E",
    "Q",
    "A",
    "I",
    "F",
    "S",
    "L",
    "E",
    "L",
    "L",
    "K",
    "V",
    "R",
    "S",
    "L",
    "G",
    "G",
    "I",
    "S",
    "P",
    "S",
    "E",
    "D",
    "R",
    "R",
    "W",
    "S",
    "T",
    "E",
    "L",
    "V",
    "P",
    "E",
    "G",
    "L",
    "Q",
    "S",
    "P",
    "R",
    "G",
    "T",
    "P",
    "D",
    "S",
    "E",
    "S",
    "S",
    "Q",
    "G",
    "S",
    "L",
    "E",
    "L",
    "L",
    "S",
    "Y",
    "E",
    "E",
    "S",
    "Q",
    "K",
    "S",
    "K",
    "L",
    "E",
    "S",
    "V",
    "I",
    "S",
    "D",
    "E",
    "G",
    "D",
    "L",
    "Q",
    "F",
    "P",
    "S",
    "P",
    "K",
    "I",
    "S",
    "S",
    "S",
    "P",
    "K",
    "F",
    "D",
    "S",
    "R",
    "D",
    "N",
    "A",
    "L",
    "S",
    "A",
    "S",
    "N",
    "E",
    "T",
    "S",
    "S",
    "A",
    "E",
    "H",
    "L",
    "K",
    "D",
    "G",
    "T",
    "M",
    "K",
    "E",
    "M",
    "V",
    "V",
    "C",
    "S",
    "S",
    "E",
    "S",
    "I",
    "T",
    "C",
    "K",
    "P",
    "Q",
    "L",
    "K",
    "D",
    "S",
    "F",
    "I",
    "S",
    "N",
    "S",
    "L",
    "P",
    "T",
    "F",
    "F",
    "Y",
    "I",
    "P",
    "Q",
    "Q",
    "D",
    "P",
    "L",
    "K",
    "T",
    "N",
    "S",
    "Q",
    "L",
    "D",
    "T",
    "S",
    "I",
    "Q",
    "R",
    "N",
    "K",
    "L",
    "L",
    "E",
    "N",
    "E",
    "D",
    "T",
    "A",
    "G",
    "E",
    "A",
    "L",
    "T",
    "L",
    "D",
    "I",
    "N",
    "R",
    "E",
    "T",
    "R",
    "R",
    "Y",
    "H",
    "C",
    "S",
    "G",
    "K",
    "D",
    "Q",
    "I",
    "V",
    "P",
    "S",
    "L",
    "N",
    "T",
    "E",
    "S",
    "S",
    "N",
    "P",
    "V",
    "L",
    "K",
    "K",
    "L",
    "E",
    "K",
    "L",
    "N",
    "T",
    "E",
    "K",
    "E",
    "E",
    "R",
    "Q",
    "K",
    "Q",
    "L",
    "Q",
    "Q",
    "Q",
    "N",
    "E",
    "K",
    "E",
    "M",
    "M",
    "E",
    "Q",
    "I",
    "R",
    "Q",
    "Q",
    "T",
    "D",
    "I",
    "L",
    "E",
    "K",
    "E",
    "R",
    "K",
    "A",
    "F",
    "K",
    "T",
    "I",
    "E",
    "K",
    "P",
    "R",
    "I",
    "G",
    "E",
    "C",
    "L",
    "V",
    "A",
    "P",
    "S",
    "S",
    "Y",
    "Q",
    "S",
    "K",
    "Q",
    "R",
    "V",
    "E",
    "R",
    "P",
    "S",
    "S",
    "L",
    "L",
    "S",
    "L",
    "N",
    "T",
    "S",
    "N",
    "K",
    "G",
    "E",
    "L",
    "N",
    "V",
    "L",
    "G",
    "S",
    "L",
    "S",
    "L",
    "K",
    "D",
    "A",
    "A",
    "L",
    "A",
    "Q",
    "K",
    "D",
    "S",
    "S",
    "S",
    "A",
    "H",
    "L",
    "P",
    "P",
    "K",
    "D",
    "R",
    "P",
    "V",
    "T",
    "V",
    "F",
    "F",
    "E",
    "R",
    "K",
    "G",
    "S",
    "P",
    "C",
    "Q",
    "S",
    "S",
    "T",
    "V",
    "K",
    "E",
    "L",
    "S",
    "K",
    "T",
    "D",
    "R",
    "M",
    "G",
    "T",
    "Q",
    "L",
    "N",
    "V",
    "A",
    "C",
    "K",
    "L",
    "S",
    "N",
    "N",
    "R",
    "I",
    "S",
    "K",
    "R",
    "E",
    "H",
    "F",
    "R",
    "P",
    "T",
    "Q",
    "S",
    "Y",
    "S",
    "H",
    "N",
    "S",
    "D",
    "D",
    "L",
    "S",
    "R",
    "E",
    "G",
    "N",
    "A",
    "R",
    "P",
    "I",
    "F",
    "F",
    "T",
    "P",
    "K",
    "D",
    "N",
    "M",
    "S",
    "I",
    "P",
    "L",
    "V",
    "S",
    "K",
    "E",
    "A",
    "L",
    "N",
    "S",
    "K",
    "N",
    "P",
    "Q",
    "L",
    "H",
    "K",
    "E",
    "D",
    "E",
    "P",
    "A",
    "W",
    "K",
    "P",
    "V",
    "K",
    "L",
    "A",
    "G",
    "P",
    "G",
    "Q",
    "R",
    "E",
    "T",
    "S",
    "Q",
    "R",
    "F",
    "S",
    "S",
    "V",
    "D",
    "E",
    "Q",
    "A",
    "K",
    "L",
    "H",
    "K",
    "T",
    "M",
    "S",
    "Q",
    "G",
    "E",
    "I",
    "T",
    "K",
    "L",
    "A",
    "V",
    "R",
    "Q",
    "K",
    "A",
    "S",
    "D",
    "S",
    "D",
    "I",
    "R",
    "P",
    "Q",
    "R",
    "A",
    "K",
    "M",
    "R",
    "F",
    "W",
    "A",
    "K",
    "G",
    "K",
    "Q",
    "G",
    "E",
    "K",
    "K",
    "T",
    "T",
    "R",
    "V",
    "K",
    "P",
    "T",
    "T",
    "Q",
    "S",
    "E",
    "V",
    "S",
    "P",
    "L",
    "F",
    "A",
    "G",
    "T",
    "D",
    "V",
    "I",
    "P",
    "A",
    "H",
    "Q",
    "F",
    "P",
    "D",
    "E",
    "L",
    "A",
    "A",
    "Y",
    "H",
    "P",
    "T",
    "P",
    "P",
    "L",
    "S",
    "P",
    "E",
    "L",
    "P",
    "G",
    "S",
    "C",
    "R",
    "K",
    "E",
    "F",
    "K",
    "E",
    "N",
    "K",
    "E",
    "P",
    "S",
    "P",
    "K",
    "A",
    "K",
    "R",
    "K",
    "R",
    "S",
    "V",
    "K",
    "I",
    "S",
    "N",
    "V",
    "A",
    "L",
    "D",
    "S",
    "M",
    "H",
    "W",
    "Q",
    "N",
    "D",
    "S",
    "V",
    "Q",
    "I",
    "I",
    "A",
    "S",
    "V",
    "S",
    "D",
    "L",
    "K",
    "S",
    "M",
    "D",
    "E",
    "F",
    "L",
    "L",
    "K",
    "K",
    "V",
    "N",
    "D",
    "L",
    "D",
    "N",
    "E",
    "D",
    "S",
    "K",
    "K",
    "D",
    "T",
    "L",
    "V",
    "D",
    "V",
    "V",
    "F",
    "K",
    "K",
    "A",
    "L",
    "K",
    "E",
    "F",
    "R",
    "Q",
    "N",
    "I",
    "F",
    "S",
    "F",
    "Y",
    "S",
    "S",
    "A",
    "L",
    "A",
    "M",
    "D",
    "D",
    "G",
    "K",
    "S",
    "I",
    "R",
    "Y",
    "K",
    "D",
    "L",
    "Y",
    "A",
    "L",
    "F",
    "E",
    "Q",
    "I",
    "L",
    "E",
    "K",
    "T",
    "M",
    "R",
    "L",
    "E",
    "Q",
    "R",
    "D",
    "S",
    "L",
    "G",
    "E",
    "S",
    "P",
    "V",
    "R",
    "V",
    "W",
    "V",
    "N",
    "T",
    "F",
    "K",
    "V",
    "F",
    "L",
    "D",
    "E",
    "Y",
    "M",
    "N",
    "E",
    "F",
    "K",
    "T",
    "S",
    "D",
    "C",
    "T",
    "A",
    "T",
    "K",
    "V",
    "P",
    "K",
    "T",
    "E",
    "R",
    "K",
    "K",
    "R",
    "R",
    "K",
    "K",
    "E",
    "T",
    "D",
    "L",
    "V",
    "E",
    "E",
    "H",
    "N",
    "G",
    "H",
    "I",
    "F",
    "K",
    "A",
    "T",
    "Q",
    "Y",
    "S",
    "I",
    "P",
    "T",
    "Y",
    "C",
    "E",
    "Y",
    "C",
    "S",
    "S",
    "L",
    "I",
    "W",
    "I",
    "M",
    "D",
    "R",
    "A",
    "S",
    "V",
    "C",
    "K",
    "L",
    "C",
    "K",
    "Y",
    "A",
    "C",
    "H",
    "K",
    "K",
    "C",
    "C",
    "L",
    "K",
    "T",
    "T",
    "A",
    "K",
    "C",
    "S",
    "K",
    "K",
    "Y",
    "D",
    "P",
    "E",
    "L",
    "S",
    "S",
    "R",
    "Q",
    "F",
    "G",
    "V",
    "E",
    "L",
    "S",
    "R",
    "L",
    "T",
    "S",
    "E",
    "D",
    "R",
    "T",
    "V",
    "P",
    "L",
    "V",
    "V",
    "E",
    "K",
    "L",
    "I",
    "N",
    "Y",
    "I",
    "E",
    "M",
    "H",
    "G",
    "L",
    "Y",
    "T",
    "E",
    "G",
    "I",
    "Y",
    "R",
    "K",
    "S",
    "G",
    "S",
    "T",
    "N",
    "K",
    "I",
    "K",
    "E",
    "L",
    "R",
    "Q",
    "G",
    "L",
    "D",
    "T",
    "D",
    "A",
    "E",
    "S",
    "V",
    "N",
    "L",
    "D",
    "D",
    "Y",
    "N",
    "I",
    "H",
    "V",
    "I",
    "A",
    "S",
    "V",
    "F",
    "K",
    "Q",
    "W",
    "L",
    "R",
    "D",
    "L",
    "P",
    "N",
    "P",
    "L",
    "M",
    "T",
    "F",
    "E",
    "L",
    "Y",
    "E",
    "E",
    "F",
    "L",
    "R",
    "A",
    "M",
    "G",
    "L",
    "Q",
    "E",
    "R",
    "K",
    "E",
    "T",
    "I",
    "R",
    "G",
    "V",
    "Y",
    "S",
    "V",
    "I",
    "D",
    "Q",
    "L",
    "S",
    "R",
    "T",
    "H",
    "L",
    "N",
    "T",
    "L",
    "E",
    "R",
    "L",
    "I",
    "F",
    "H",
    "L",
    "V",
    "R",
    "I",
    "A",
    "L",
    "Q",
    "E",
    "D",
    "T",
    "N",
    "R",
    "M",
    "S",
    "A",
    "N",
    "A",
    "L",
    "A",
    "I",
    "V",
    "F",
    "A",
    "P",
    "C",
    "I",
    "L",
    "R",
    "C",
    "P",
    "D",
    "T",
    "T",
    "D",
    "P",
    "L",
    "Q",
    "S",
    "V",
    "Q",
    "D",
    "I",
    "S",
    "K",
    "T",
    "T",
    "T",
    "C",
    "V",
    "E",
    "L",
    "I",
    "V",
    "V",
    "E",
    "Q",
    "M",
    "N",
    "K",
    "Y",
    "K",
    "A",
    "R",
    "L",
    "K",
    "D",
    "I",
    "S",
    "S",
    "L",
    "E",
    "F",
    "A",
    "E",
    "N",
    "K",
    "A",
    "K",
    "T",
    "R",
    "L",
    "S",
    "L",
    "I",
    "R",
    "R",
    "S",
    "M",
    "G",
    "K",
    "G",
    "R",
    "I",
    "R",
    "R",
    "G",
    "N",
    "Y",
    "P",
    "G",
    "P",
    "S",
    "S",
    "P",
    "V",
    "V",
    "V",
    "R",
    "L",
    "P",
    "S",
    "V",
    "S",
    "D",
    "V",
    "S",
    "E",
    "E",
    "T",
    "L",
    "T",
    "S",
    "E",
    "A",
    "A",
    "M",
    "E",
    "T",
    "D",
    "I",
    "T",
    "E",
    "Q",
    "Q",
    "Q",
    "A",
    "A",
    "M",
    "Q",
    "Q",
    "E",
    "E",
    "R",
    "V",
    "L",
    "T",
    "E",
    "Q",
    "I",
    "E",
    "N",
    "L",
    "Q",
    "K",
    "E",
    "K",
    "E",
    "E",
    "L",
    "T",
    "F",
    "E",
    "M",
    "L",
    "V",
    "L",
    "E",
    "P",
    "R",
    "A",
    "S",
    "D",
    "D",
    "E",
    "T",
    "L",
    "E",
    "S",
    "E",
    "A",
    "S",
    "I",
    "G",
    "T",
    "A",
    "D",
    "S",
    "S",
    "E",
    "N",
    "L",
    "N",
    "M",
    "E",
    "S",
    "E",
    "Y",
    "A",
    "I",
    "S",
    "E",
    "K",
    "S",
    "E",
    "A"
  ],
  "backbone": [
    0.7358999999999999,
    0.7199999999999999,
    0.7185999999999997,
    0.709,
    0.7001999999999998,
    0.6805999999999998,
    0.6765999999999996,
    0.6837,
    0.7122500000000002,
    0.7308499999999999,
    0.7554,
    0.75255,
    0.76195,
    0.7505999999999999,
    0.7647499999999998,
    0.7783500000000002,
    0.7972499999999998,
    0.8136,
    0.8164999999999997,
    0.8206999999999998,
    0.8117500000000002,
    0.7710000000000005,
    0.7526999999999999,
    0.7369,
    0.7413000000000002,
    0.7470000000000001,
    0.7503000000000003,
    0.7613000000000005,
    0.7886000000000002,
    0.8262000000000002,
    0.8552,
    0.8709,
    0.8536999999999999,
    0.8333000000000002,
    0.8015,
    0.7855000000000001,
    0.7721,
    0.7592000000000001,
    0.7630000000000001,
    0.7676999999999999,
    0.7932999999999999,
    0.8142000000000001,
    0.8338,
    0.8598999999999999,
    0.8936999999999998,
    0.9018000000000003,
    0.898,
    0.8803999999999998,
    0.8614,
    0.8631000000000002,
    0.8669,
    0.8631,
    0.8675000000000004,
    0.8829000000000004,
    0.8847,
    0.8937,
    0.8879,
    0.9031000000000001,
    0.9152,
    0.9319000000000002,
    0.9454999999999999,
    0.9447999999999998,
    0.9337000000000001,
    0.9175999999999999,
    0.8937999999999999,
    0.8765999999999999,
    0.8534999999999999,
    0.8355,
    0.8004000000000001,
    0.7796999999999997,
    0.7911000000000001,
    0.8131,
    0.8530000000000003,
    0.875,
    0.8773,
    0.8578,
    0.8367,
    0.8487000000000002,
    0.8626999999999997,
    0.8915000000000001,
    0.8997000000000002,
    0.8945000000000001,
    0.8976,
    0.8903000000000001,
    0.8930999999999998,
    0.8883000000000002,
    0.8907999999999999,
    0.8896,
    0.9084999999999996,
    0.9070000000000003,
    0.9031999999999999,
    0.8843000000000002,
    0.8753999999999998,
    0.8562000000000002,
    0.8389000000000002,
    0.7999999999999998,
    0.7683999999999997,
    0.7584,
    0.7567,
    0.7702000000000002,
    0.7903999999999999,
    0.8422000000000001,
    0.878,
    0.8935,
    0.8942999999999999,
    0.8926999999999999,
    0.8828999999999999,
    0.8592000000000001,
    0.8212999999999999,
    0.7851,
    0.7429999999999999,
    0.7202999999999999,
    0.7138000000000001,
    0.7048,
    0.7081000000000002,
    0.7253999999999999,
    0.7600999999999999,
    0.7616,
    0.7466,
    0.7403,
    0.7586,
    0.7756999999999997,
    0.8001999999999998,
    0.8034999999999999,
    0.8178999999999998,
    0.8296,
    0.8548999999999998,
    0.8588000000000001,
    0.8493999999999998,
    0.8305999999999998,
    0.8019000000000002,
    0.7858000000000002,
    0.7702000000000001,
    0.7612000000000002,
    0.7521000000000002,
    0.7423000000000002,
    0.7206000000000001,
    0.7109000000000001,
    0.7150999999999998,
    0.726,
    0.7187,
    0.7049,
    0.6983000000000001,
    0.6874000000000001,
    0.7026,
    0.7181000000000004,
    0.7578,
    0.7838,
    0.7984000000000002,
    0.8064,
    0.7977999999999998,
    0.7940999999999998,
    0.7761999999999998,
    0.78,
    0.7885000000000001,
    0.8098000000000001,
    0.8106000000000001,
    0.8213000000000001,
    0.8389999999999999,
    0.8587000000000005,
    0.8743000000000001,
    0.8797999999999999,
    0.8739000000000003,
    0.8606000000000003,
    0.8354,
    0.8277999999999996,
    0.8239999999999998,
    0.8183999999999997,
    0.8251000000000001,
    0.8548000000000001,
    0.8771000000000001,
    0.8835999999999999,
    0.8902000000000003,
    0.8973999999999999,
    0.9208999999999998,
    0.9383000000000001,
    0.9449000000000001,
    0.9477999999999999,
    0.9383000000000001,
    0.9272000000000004,
    0.9458999999999999,
    0.9512000000000003,
    0.9690000000000002,
    0.9835999999999999,
    0.9996000000000002,
    0.9819000000000001,
    0.9679999999999999,
    0.9511000000000005,
    0.9485,
    0.9482000000000003,
    0.9404,
    0.9338999999999998,
    0.9289000000000001,
    0.9241999999999999,
    0.9185999999999996,
    0.9146999999999998,
    0.9135000000000001,
    0.9262999999999998,
    0.9306999999999999,
    0.9294,
    0.9072000000000001,
    0.8884999999999998,
    0.8773999999999998,
    0.8633000000000002,
    0.8426000000000002,
    0.8221999999999999,
    0.7939000000000002,
    0.7727999999999999,
    0.7589000000000001,
    0.7649000000000002,
    0.7835000000000002,
    0.8212999999999999,
    0.8494000000000002,
    0.8867,
    0.8926000000000002,
    0.9070000000000001,
    0.9041999999999998,
    0.9051999999999999,
    0.9020999999999999,
    0.8966000000000001,
    0.8935000000000002,
    0.9002,
    0.9097,
    0.9112000000000001,
    0.9012999999999997,
    0.8860999999999998,
    0.8624000000000003,
    0.8506000000000002,
    0.8393000000000003,
    0.8376000000000001,
    0.8292000000000003,
    0.8385000000000002,
    0.8608,
    0.8725,
    0.8704999999999998,
    0.8449000000000001,
    0.8000000000000002,
    0.7590999999999999,
    0.7099,
    0.6786,
    0.6416999999999998,
    0.6115999999999998,
    0.6037999999999998,
    0.6105999999999998,
    0.6401000000000001,
    0.6801,
    0.7083999999999998,
    0.7256999999999999,
    0.7474999999999998,
    0.7765000000000003,
    0.8076000000000001,
    0.8413,
    0.8747,
    0.8936000000000001,
    0.8994999999999999,
    0.8952000000000001,
    0.8808999999999999,
    0.8479999999999998,
    0.8273999999999999,
    0.803,
    0.7755000000000001,
    0.7577999999999999,
    0.7589000000000001,
    0.7606999999999999,
    0.7558999999999999,
    0.7610000000000001,
    0.7674000000000001,
    0.8068000000000001,
    0.8452000000000002,
    0.8633000000000001,
    0.8714000000000002,
    0.8592000000000001,
    0.8325000000000002,
    0.8048999999999998,
    0.7759000000000004,
    0.7785000000000002,
    0.7958000000000001,
    0.8169000000000002,
    0.8307000000000001,
    0.8228000000000001,
    0.8079000000000002,
    0.7793,
    0.7559999999999997,
    0.7423000000000001,
    0.7353,
    0.7406000000000001,
    0.7472000000000001,
    0.7476000000000002,
    0.7405999999999999,
    0.7214000000000002,
    0.7081000000000001,
    0.7037999999999999,
    0.7222999999999997,
    0.7346,
    0.7566,
    0.7836000000000001,
    0.8048,
    0.8317999999999999,
    0.8521000000000001,
    0.8677,
    0.8697000000000001,
    0.8676,
    0.8488999999999999,
    0.8381000000000001,
    0.8258000000000003,
    0.8175000000000002,
    0.8194,
    0.8090999999999999,
    0.8107000000000001,
    0.8296999999999997,
    0.8426999999999999,
    0.8677000000000002,
    0.8974,
    0.9318,
    0.9759,
    0.9848,
    0.9835000000000002,
    0.9653999999999999,
    0.9583000000000002,
    0.9584999999999999,
    0.9422,
    0.9156,
    0.8902999999999999,
    0.8746999999999997,
    0.8683999999999997,
    0.8625999999999999,
    0.8626999999999999,
    0.8548999999999999,
    0.8398,
    0.8177,
    0.804,
    0.8013000000000003,
    0.8113,
    0.8331,
    0.8687999999999999,
    0.9111,
    0.9579,
    0.9911000000000001,
    0.9833999999999999,
    0.9601999999999999,
    0.9062000000000002,
    0.8491000000000002,
    0.8041999999999999,
    0.7469,
    0.7210000000000001,
    0.7168000000000001,
    0.7260000000000002,
    0.7328999999999999,
    0.7308000000000001,
    0.7242999999999998,
    0.7273999999999998,
    0.7416,
    0.7607999999999997,
    0.7841999999999998,
    0.7837000000000001,
    0.7760000000000001,
    0.7719999999999999,
    0.7716999999999999,
    0.7853000000000001,
    0.8012000000000002,
    0.8226,
    0.8526999999999999,
    0.8613999999999997,
    0.8462,
    0.8317999999999999,
    0.8073000000000001,
    0.7986000000000001,
    0.7929,
    0.7820999999999998,
    0.7763000000000003,
    0.7563999999999999,
    0.7588,
    0.7565000000000001,
    0.7577,
    0.7652,
    0.7903000000000001,
    0.8266000000000001,
    0.8384,
    0.8272000000000002,
    0.8352999999999999,
    0.8175,
    0.8043000000000003,
    0.7813000000000002,
    0.7812999999999999,
    0.7886,
    0.8261999999999996,
    0.8332,
    0.8288999999999997,
    0.8196,
    0.8058,
    0.7878999999999998,
    0.7762999999999999,
    0.7681999999999998,
    0.7763,
    0.7964999999999998,
    0.8295000000000001,
    0.8638999999999999,
    0.8960000000000001,
    0.9216000000000001,
    0.9228999999999997,
    0.9095999999999999,
    0.8951000000000002,
    0.8903000000000001,
    0.8857000000000003,
    0.8938999999999997,
    0.891,
    0.8734999999999999,
    0.8745,
    0.8721999999999996,
    0.8700000000000001,
    0.8696,
    0.8708999999999999,
    0.8660000000000001,
    0.8725999999999999,
    0.8746,
    0.8709999999999999,
    0.8772,
    0.8875999999999998,
    0.9185000000000003,
    0.9371000000000003,
    0.9261000000000001,
    0.9138000000000003,
    0.9066000000000005,
    0.9045999999999998,
    0.8919000000000004,
    0.8922000000000007,
    0.8983,
    0.8899999999999997,
    0.8772,
    0.8572,
    0.8652000000000001,
    0.8751000000000002,
    0.9026000000000001,
    0.8976999999999999,
    0.8748000000000001,
    0.8625999999999998,
    0.8533000000000002,
    0.8400000000000001,
    0.8321999999999999,
    0.8463,
    0.8543000000000003,
    0.8595000000000002,
    0.8512,
    0.8583999999999997,
    0.8648000000000002,
    0.8747999999999999,
    0.8779000000000002,
    0.8604,
    0.8506000000000001,
    0.8603000000000001,
    0.8834000000000001,
    0.8972999999999999,
    0.9094,
    0.9325999999999999,
    0.9321000000000002,
    0.9283,
    0.9169999999999998,
    0.9130000000000001,
    0.9131,
    0.9017000000000001,
    0.9157,
    0.9178000000000002,
    0.9213000000000005,
    0.9141,
    0.8976999999999999,
    0.9192999999999998,
    0.9314999999999999,
    0.9380000000000003,
    0.9364999999999999,
    0.9251999999999998,
    0.9296000000000004,
    0.9192,
    0.8965,
    0.8954999999999999,
    0.8919999999999998,
    0.8997,
    0.8959000000000004,
    0.9004999999999997,
    0.8926000000000003,
    0.8977,
    0.9037999999999999,
    0.9217999999999998,
    0.9408,
    0.9594,
    0.9627000000000001,
    0.9659000000000001,
    0.9535,
    0.9513,
    0.9479000000000003,
    0.9344999999999999,
    0.9352999999999998,
    0.9370999999999999,
    0.9374000000000002,
    0.9334999999999998,
    0.9103,
    0.8843000000000002,
    0.8527,
    0.8423,
    0.8452000000000001,
    0.8527999999999999,
    0.8661,
    0.8803,
    0.9032000000000002,
    0.9056000000000003,
    0.914,
    0.9528,
    0.9979999999999999,
    1.0225,
    1.0258999999999996,
    1.0266,
    1.0159999999999996,
    0.9950000000000001,
    0.9756000000000001,
    0.9615,
    0.9481000000000002,
    0.9391999999999999,
    0.9154999999999999,
    0.8716999999999996,
    0.8430999999999996,
    0.8049999999999996,
    0.7962000000000001,
    0.7830000000000003,
    0.7995,
    0.8153,
    0.8171999999999998,
    0.8173999999999999,
    0.8261000000000003,
    0.8423000000000002,
    0.8475999999999999,
    0.8570000000000001,
    0.8620999999999998,
    0.8532000000000002,
    0.8506000000000002,
    0.8659000000000002,
    0.8892,
    0.9083999999999999,
    0.9153999999999998,
    0.8996999999999998,
    0.8893999999999997,
    0.8716999999999998,
    0.8749000000000002,
    0.8785000000000002,
    0.8934000000000002,
    0.8708000000000001,
    0.8540000000000003,
    0.8235000000000001,
    0.8285000000000001,
    0.8533,
    0.8847999999999998,
    0.9099000000000002,
    0.9305,
    0.9550999999999996,
    0.9624999999999999,
    0.9497000000000001,
    0.9223000000000001,
    0.9015999999999998,
    0.8896,
    0.8789000000000001,
    0.8553999999999998,
    0.8476000000000001,
    0.8525000000000004,
    0.8626000000000001,
    0.8774000000000001,
    0.8929999999999998,
    0.8949,
    0.8999999999999999,
    0.9053,
    0.9091,
    0.9344000000000001,
    0.9269,
    0.9171,
    0.8982000000000002,
    0.8733000000000001,
    0.8616000000000001,
    0.8519000000000002,
    0.8378000000000001,
    0.8382,
    0.8281000000000002,
    0.7996000000000002,
    0.7801999999999999,
    0.7759000000000003,
    0.7905999999999996,
    0.8227999999999996,
    0.8520000000000004,
    0.8790000000000002,
    0.9099000000000002,
    0.9179000000000002,
    0.9239999999999998,
    0.9306000000000002,
    0.9252000000000001,
    0.9305,
    0.9243000000000003,
    0.9396000000000001,
    0.9598999999999998,
    0.9593,
    0.9352999999999998,
    0.9111999999999998,
    0.8806999999999999,
    0.8621000000000002,
    0.8392,
    0.8169,
    0.8075999999999999,
    0.7919000000000002,
    0.7750000000000005,
    0.7672000000000001,
    0.7888,
    0.8151000000000002,
    0.8251999999999998,
    0.8269,
    0.8266000000000001,
    0.8261999999999999,
    0.8037000000000001,
    0.7688000000000001,
    0.7364000000000002,
    0.7226999999999999,
    0.7203000000000003,
    0.7319000000000001,
    0.74,
    0.7387000000000001,
    0.7448999999999998,
    0.7436999999999998,
    0.7516,
    0.7678999999999999,
    0.7843999999999999,
    0.7932,
    0.7941999999999997,
    0.7839000000000002,
    0.7735,
    0.7688999999999999,
    0.7650000000000001,
    0.7580999999999999,
    0.765,
    0.7678999999999999,
    0.7788000000000002,
    0.7657000000000003,
    0.7735999999999998,
    0.79,
    0.8224000000000001,
    0.8644,
    0.8701,
    0.8561000000000003,
    0.8364000000000001,
    0.8310000000000002,
    0.8393999999999999,
    0.8462999999999999,
    0.8498000000000002,
    0.8647000000000002,
    0.8799,
    0.8801000000000002,
    0.8773,
    0.8711000000000002,
    0.8716999999999999,
    0.8579000000000001,
    0.8160000000000002,
    0.7962,
    0.7936000000000003,
    0.8082000000000001,
    0.8154,
    0.8010999999999999,
    0.8014,
    0.8182999999999999,
    0.8434999999999999,
    0.8534000000000002,
    0.8359,
    0.8151999999999998,
    0.7839000000000002,
    0.7654000000000001,
    0.7752000000000001,
    0.7915,
    0.7987999999999998,
    0.8052,
    0.8196000000000002,
    0.8558000000000002,
    0.8862000000000002,
    0.9223999999999998,
    0.9166000000000001,
    0.9245000000000001,
    0.9148999999999998,
    0.9008999999999999,
    0.8882999999999999,
    0.8567999999999999,
    0.8319,
    0.8107,
    0.8152999999999999,
    0.8082,
    0.827,
    0.8250999999999998,
    0.8320999999999997,
    0.8272999999999999,
    0.7988999999999997,
    0.8064,
    0.8112999999999998,
    0.8452999999999998,
    0.8760999999999999,
    0.9259999999999997,
    0.9424999999999999,
    0.9543,
    0.967,
    1.0058999999999998,
    1.0313,
    1.0437000000000005,
    1.0458,
    1.0437,
    1.0453999999999999,
    1.0359999999999998,
    1.0158999999999996,
    1.0033,
    1.01,
    1.0035,
    0.995,
    0.9779000000000003,
    0.9567,
    0.9381999999999996,
    0.9152999999999999,
    0.8978000000000002,
    0.8660000000000002,
    0.8178999999999997,
    0.7636000000000001,
    0.7291999999999998,
    0.7188000000000001,
    0.7372000000000002,
    0.7491,
    0.7384999999999999,
    0.7474999999999999,
    0.7226999999999999,
    0.6937000000000002,
    0.6786,
    0.6682999999999999,
    0.6918999999999998,
    0.7228999999999999,
    0.7487000000000001,
    0.7540999999999997,
    0.7801999999999999,
    0.7868999999999999,
    0.8059999999999999,
    0.8164999999999999,
    0.8197000000000001,
    0.8105,
    0.7806000000000001,
    0.7665,
    0.7475999999999999,
    0.7649000000000001,
    0.7604000000000001,
    0.753,
    0.7415999999999998,
    0.7399999999999998,
    0.7490000000000001,
    0.7585000000000001,
    0.7597000000000002,
    0.7562999999999998,
    0.7759,
    0.7843000000000001,
    0.7822999999999999,
    0.7824000000000001,
    0.7725,
    0.7835,
    0.7969,
    0.807,
    0.8094999999999999,
    0.8182000000000001,
    0.8187000000000001,
    0.8216000000000001,
    0.8043,
    0.7878000000000002,
    0.7803000000000001,
    0.7650000000000002,
    0.7653999999999999,
    0.7581000000000001,
    0.7422999999999998,
    0.7230000000000001,
    0.7161999999999998,
    0.6880000000000001,
    0.6778000000000002,
    0.6892,
    0.7050000000000003,
    0.7189000000000001,
    0.7178,
    0.7289,
    0.7408000000000001,
    0.7549999999999999,
    0.7444999999999999,
    0.7274999999999998,
    0.7114,
    0.7078000000000001,
    0.7033000000000001,
    0.7056000000000001,
    0.7021999999999999,
    0.6911,
    0.6970999999999999,
    0.6896000000000001,
    0.7047999999999999,
    0.7328,
    0.7760999999999999,
    0.8132,
    0.8313000000000001,
    0.8348999999999999,
    0.8499999999999999,
    0.8454000000000003,
    0.8305999999999999,
    0.8112999999999997,
    0.7908000000000001,
    0.7733000000000001,
    0.7634000000000002,
    0.7560999999999999,
    0.7548000000000001,
    0.7620999999999998,
    0.7634000000000001,
    0.7673000000000002,
    0.7352000000000001,
    0.7185,
    0.7078,
    0.6855000000000003,
    0.6692999999999998,
    0.674,
    0.7026,
    0.7196,
    0.7388999999999998,
    0.7644000000000001,
    0.7862000000000002,
    0.7773,
    0.7748000000000004,
    0.7451,
    0.7567999999999998,
    0.7493,
    0.7407999999999998,
    0.7441,
    0.7341000000000001,
    0.7217999999999999,
    0.7244999999999999,
    0.7341,
    0.7284,
    0.7426,
    0.7582000000000002,
    0.7738999999999999,
    0.7714000000000001,
    0.7734000000000001,
    0.7702000000000002,
    0.7624,
    0.7700000000000002,
    0.7693000000000002,
    0.7693,
    0.7533000000000001,
    0.7285,
    0.7160000000000002,
    0.7198999999999999,
    0.7209,
    0.7175,
    0.7094999999999999,
    0.6996000000000002,
    0.6904,
    0.7001999999999999,
    0.7192,
    0.7407000000000001,
    0.7733999999999999,
    0.7984999999999999,
    0.809,
    0.8119999999999998,
    0.8059000000000001,
    0.7884000000000001,
    0.7665000000000002,
    0.7654999999999997,
    0.7670000000000003,
    0.7907999999999998,
    0.8158999999999998,
    0.8244999999999999,
    0.8380999999999998,
    0.8372999999999997,
    0.829,
    0.8306,
    0.8271999999999999,
    0.8371000000000001,
    0.8315,
    0.8154000000000001,
    0.8088000000000001,
    0.7967000000000002,
    0.7816000000000001,
    0.7691999999999999,
    0.7623999999999999,
    0.7658000000000003,
    0.7806000000000001,
    0.7906,
    0.7826000000000003,
    0.7582999999999999,
    0.7217000000000001,
    0.6907,
    0.6809,
    0.6739999999999999,
    0.664,
    0.6678999999999999,
    0.6899,
    0.7095999999999998,
    0.7268999999999998,
    0.7535999999999999,
    0.7724,
    0.7793999999999996,
    0.777,
    0.7724,
    0.7806000000000003,
    0.7737,
    0.7640000000000002,
    0.7564000000000001,
    0.7762999999999999,
    0.7726999999999999,
    0.7495999999999999,
    0.7412999999999998,
    0.7320000000000002,
    0.7524999999999998,
    0.7785000000000005,
    0.8153,
    0.8396000000000001,
    0.876,
    0.8992999999999999,
    0.9273999999999999,
    0.9321999999999998,
    0.9237999999999996,
    0.8919,
    0.8570000000000001,
    0.8162999999999999,
    0.7977,
    0.802,
    0.8162999999999999,
    0.8298,
    0.8362,
    0.8421999999999998,
    0.8617,
    0.8890999999999997,
    0.9197000000000002,
    0.9454999999999998,
    0.9643999999999999,
    0.9612000000000002,
    0.967,
    0.9602000000000003,
    0.9616999999999999,
    0.9456999999999997,
    0.9208,
    0.9190999999999998,
    0.9079,
    0.893,
    0.8718000000000004,
    0.8613000000000001,
    0.8562999999999998,
    0.8707999999999998,
    0.8884000000000002,
    0.9052000000000001,
    0.9051999999999999,
    0.8906,
    0.8706999999999999,
    0.8371000000000003,
    0.7991000000000004,
    0.7618999999999997,
    0.7335999999999998,
    0.7340000000000001,
    0.7377000000000001,
    0.7423,
    0.7599999999999999,
    0.7724,
    0.7810999999999997,
    0.7958999999999998,
    0.8149000000000001,
    0.8360999999999998,
    0.8483000000000003,
    0.8560000000000004,
    0.8601,
    0.8785000000000001,
    0.9047,
    0.9165000000000004,
    0.9076,
    0.8855000000000003,
    0.8795999999999999,
    0.8513,
    0.8404000000000001,
    0.8406,
    0.8414999999999999,
    0.8626000000000001,
    0.8624999999999999,
    0.8579000000000002,
    0.8545,
    0.8591000000000001,
    0.8736,
    0.8903000000000001,
    0.9134000000000001,
    0.9373999999999999,
    0.9402,
    0.9202000000000001,
    0.8994,
    0.8755,
    0.8415000000000001,
    0.8066000000000001,
    0.7816000000000001,
    0.7726000000000003,
    0.7646999999999998,
    0.7745000000000001,
    0.7672000000000001,
    0.7760999999999999,
    0.7788000000000003,
    0.7967999999999996,
    0.8141999999999998,
    0.8294000000000001,
    0.8551000000000001,
    0.8753999999999997,
    0.8845999999999999,
    0.8858999999999998,
    0.8755000000000002,
    0.8620999999999999,
    0.8513999999999999,
    0.8159999999999997,
    0.8147999999999996,
    0.8229000000000001,
    0.8159,
    0.8326999999999997,
    0.8587999999999998,
    0.8751,
    0.8873000000000001,
    0.8919999999999999,
    0.8999999999999997,
    0.9173999999999998,
    0.9307,
    0.9532999999999999,
    0.9625999999999998,
    0.9675000000000001,
    0.9846,
    0.9955999999999996,
    0.9961000000000002,
    1.0125,
    1.0089999999999992,
    1.0076999999999998,
    1.0146999999999997,
    1.0124999999999997,
    1.0101999999999998,
    1.0264,
    1.0304999999999997,
    1.0194999999999994,
    1.0066000000000002,
    0.9932999999999998,
    0.9906999999999998,
    0.9712000000000001,
    0.9554000000000002,
    0.9522000000000002,
    0.9551000000000001,
    0.9498999999999997,
    0.9330999999999999,
    0.9374,
    0.9256999999999999,
    0.9224000000000004,
    0.9054000000000001,
    0.914,
    0.9403999999999998,
    0.9618999999999998,
    0.9687999999999999,
    0.9746999999999998,
    0.9704999999999998,
    0.9639,
    0.9610000000000001,
    0.9556000000000002,
    0.9289,
    0.9117,
    0.8926999999999999,
    0.8706,
    0.8626,
    0.8513,
    0.8417,
    0.8630000000000001,
    0.8781000000000001,
    0.8896,
    0.8681000000000001,
    0.8470999999999997,
    0.8437999999999999,
    0.8526000000000001,
    0.8863,
    0.8985999999999998,
    0.8880999999999999,
    0.8892000000000001,
    0.8759999999999999,
    0.8845999999999999,
    0.8692,
    0.8620000000000001,
    0.8598000000000001,
    0.8554999999999998,
    0.8547,
    0.8518999999999995,
    0.8516999999999999,
    0.8356999999999997,
    0.8293999999999999,
    0.8226999999999998,
    0.8301999999999997,
    0.8521,
    0.8682999999999998,
    0.8667999999999998,
    0.8773,
    0.8856999999999999,
    0.8839000000000001,
    0.8918,
    0.8969999999999999,
    0.9089999999999999,
    0.9182999999999998,
    0.9219000000000002,
    0.9295999999999999,
    0.9118000000000002,
    0.9055000000000001,
    0.8895,
    0.9008999999999999,
    0.9165999999999999,
    0.9339999999999997,
    0.9451999999999998,
    0.9367999999999997,
    0.9148000000000003,
    0.9049999999999999,
    0.9141999999999999,
    0.9229999999999999,
    0.9396,
    0.9299000000000001,
    0.9125000000000001,
    0.9005999999999998,
    0.8862000000000001,
    0.8868,
    0.8860000000000005,
    0.8917000000000004,
    0.8947000000000002,
    0.9103999999999999,
    0.9199999999999999,
    0.9377999999999997,
    0.9319,
    0.9111999999999999,
    0.9074000000000001,
    0.9023999999999999,
    0.9049999999999999,
    0.9001000000000001,
    0.8764999999999998,
    0.8710999999999999,
    0.8501,
    0.8272999999999999,
    0.8064,
    0.8006999999999996,
    0.8009,
    0.8207999999999998,
    0.8370999999999998,
    0.8404999999999998,
    0.8382,
    0.8453000000000002,
    0.8618,
    0.8737000000000001,
    0.8829000000000001,
    0.8854999999999998,
    0.8830999999999998,
    0.8682000000000002,
    0.8483,
    0.8243,
    0.8182000000000003,
    0.8207999999999999,
    0.8000000000000004,
    0.7931999999999996,
    0.7993000000000001,
    0.8165000000000002,
    0.8279000000000002,
    0.8259,
    0.8400999999999998,
    0.8511999999999998,
    0.8536000000000001,
    0.8421999999999997,
    0.8203,
    0.8154999999999999,
    0.8115000000000001,
    0.8131000000000003,
    0.8038,
    0.7877000000000002,
    0.7791999999999999,
    0.7796,
    0.7835000000000002,
    0.7811,
    0.782,
    0.7765999999999997,
    0.7871999999999999,
    0.7885999999999999,
    0.7992000000000002,
    0.8038999999999998,
    0.8176000000000001,
    0.8095999999999998,
    0.7958000000000005,
    0.7777,
    0.7665000000000002,
    0.7513000000000003,
    0.7289000000000001,
    0.7348999999999999,
    0.734,
    0.7377,
    0.7294999999999997,
    0.6976,
    0.6800000000000003,
    0.6738000000000001,
    0.6848000000000001,
    0.6694000000000001,
    0.6591000000000001,
    0.6738000000000002,
    0.7268000000000002,
    0.7873999999999999,
    0.8259,
    0.8386000000000001,
    0.8418000000000001,
    0.8388999999999999,
    0.8476,
    0.8534,
    0.8486000000000002,
    0.8566000000000003,
    0.8556000000000001,
    0.8587000000000001,
    0.849,
    0.8458999999999999,
    0.846,
    0.834,
    0.8159000000000002,
    0.8023,
    0.7927,
    0.7948000000000001,
    0.7669,
    0.7381,
    0.7236,
    0.7076,
    0.7054000000000001,
    0.7090000000000001,
    0.7031000000000001,
    0.6996000000000001,
    0.6989,
    0.6988000000000003,
    0.7244999999999998,
    0.7432999999999998,
    0.7416999999999999,
    0.7295999999999998,
    0.7119,
    0.6821999999999999,
    0.6548,
    0.6257,
    0.6151999999999999,
    0.6242000000000001,
    0.6341999999999998,
    0.6422999999999998,
    0.6514,
    0.6532000000000001,
    0.6433,
    0.6293,
    0.6149000000000001,
    0.6051,
    0.6011,
    0.6245999999999999,
    0.6598999999999997,
    0.7041000000000002,
    0.7245999999999997,
    0.7520999999999999,
    0.7771,
    0.7931999999999999,
    0.7866000000000001,
    0.7785999999999998,
    0.7684,
    0.7468999999999999,
    0.7264000000000002,
    0.7080000000000003,
    0.6847,
    0.6694,
    0.6546000000000001,
    0.666,
    0.7047,
    0.7249,
    0.7319999999999998,
    0.7404999999999999,
    0.7349,
    0.7288999999999998,
    0.7226000000000001,
    0.7197999999999997,
    0.6980999999999999,
    0.6875000000000001,
    0.6844000000000001,
    0.7116999999999999,
    0.7338999999999997,
    0.7487999999999999,
    0.7461999999999998,
    0.7505,
    0.7547000000000001,
    0.7638,
    0.7637999999999999,
    0.7774999999999999,
    0.7919999999999998,
    0.8165,
    0.8339999999999997,
    0.8507999999999999,
    0.8646,
    0.8757,
    0.8856,
    0.8857,
    0.8758999999999998,
    0.8721000000000002,
    0.8586000000000004,
    0.8394,
    0.8249000000000001,
    0.7775999999999998,
    0.7099000000000002,
    0.6656,
    0.6187000000000001,
    0.6045999999999996,
    0.6077999999999997,
    0.6250999999999999,
    0.6322999999999999,
    0.6530999999999999,
    0.6707,
    0.6914999999999999,
    0.7093000000000002,
    0.7232999999999999,
    0.7301,
    0.7449999999999999,
    0.7540000000000001,
    0.7473000000000003,
    0.7381000000000001,
    0.7315999999999999,
    0.7024000000000002,
    0.664,
    0.6312000000000002,
    0.6148999999999999,
    0.6063,
    0.5948,
    0.5535,
    0.5442,
    0.5311,
    0.5558,
    0.5639999999999997,
    0.5910999999999998,
    0.5865,
    0.5824,
    0.5739999999999998,
    0.5858000000000001,
    0.5954000000000002,
    0.6167000000000001,
    0.6451999999999999,
    0.6894000000000002,
    0.7109,
    0.7223999999999999,
    0.7217,
    0.7203999999999999,
    0.7198999999999999,
    0.714,
    0.6992,
    0.6836999999999999,
    0.6626999999999998,
    0.6518000000000002,
    0.6695000000000001,
    0.6841999999999999,
    0.7001,
    0.7158999999999999,
    0.7106999999999999,
    0.7062999999999999,
    0.7135000000000001,
    0.7118000000000004,
    0.7029,
    0.6930000000000002,
    0.6818,
    0.6805000000000001,
    0.6797000000000001,
    0.6802000000000001,
    0.6841000000000002,
    0.6670999999999999,
    0.6677,
    0.6416000000000001,
    0.6347,
    0.6239000000000002,
    0.6095999999999999,
    0.5957999999999998,
    0.5969000000000002,
    0.5978,
    0.6279,
    0.6479000000000003,
    0.6558999999999998,
    0.6576000000000001,
    0.6548,
    0.6653000000000002,
    0.6654000000000001,
    0.6442000000000001,
    0.6345000000000001,
    0.6187999999999997,
    0.6055,
    0.5974,
    0.6018,
    0.6155999999999999,
    0.6174,
    0.6218000000000002,
    0.6265000000000001,
    0.6415000000000002,
    0.6686999999999999,
    0.6873999999999999,
    0.6904999999999996,
    0.7012999999999998,
    0.7000000000000001,
    0.6881999999999999,
    0.7014000000000002,
    0.7217000000000001,
    0.7502,
    0.7695,
    0.7970000000000003,
    0.8215999999999999,
    0.8373000000000002,
    0.8371000000000002,
    0.8110000000000002,
    0.7856000000000001,
    0.7638999999999999,
    0.7671000000000001,
    0.7805,
    0.8049999999999998,
    0.8165,
    0.8092999999999999,
    0.7872,
    0.7765000000000001,
    0.7873999999999998,
    0.7887000000000001,
    0.8066000000000001,
    0.7988999999999999,
    0.7885000000000003,
    0.7820999999999999,
    0.7752000000000001,
    0.7597000000000002,
    0.7565000000000003,
    0.7742000000000002,
    0.7964000000000003,
    0.8284000000000001,
    0.8528000000000002,
    0.8658999999999999,
    0.8635999999999998,
    0.8412999999999999,
    0.8004999999999999,
    0.7847000000000001,
    0.7792999999999998,
    0.7762999999999999,
    0.7412000000000002,
    0.7309000000000001,
    0.7192000000000002,
    0.7272000000000001,
    0.7314999999999999,
    0.7271000000000001,
    0.7269000000000002,
    0.7559,
    0.7831,
    0.7895,
    0.7853000000000003,
    0.7743999999999999,
    0.7839,
    0.8014,
    0.7919,
    0.7792000000000001,
    0.7733000000000001,
    0.7671999999999998,
    0.7563999999999999,
    0.7445000000000002,
    0.7397999999999998,
    0.7430000000000001,
    0.7365999999999999,
    0.7263999999999999,
    0.7313999999999999,
    0.7556999999999999,
    0.7826,
    0.8018000000000001,
    0.8257,
    0.8262999999999999,
    0.8233999999999999,
    0.8038000000000001,
    0.784,
    0.7719,
    0.7718000000000004,
    0.7667000000000002,
    0.7642000000000002,
    0.7591000000000001,
    0.7673000000000001,
    0.7684000000000001,
    0.7451000000000005,
    0.7101999999999998,
    0.6846,
    0.6918000000000001,
    0.7211000000000002,
    0.7225000000000003,
    0.7267000000000002,
    0.7314999999999999,
    0.7095000000000001,
    0.6858,
    0.6544000000000001,
    0.6578000000000004,
    0.6617999999999998,
    0.6434000000000002,
    0.642,
    0.6482000000000002,
    0.6685999999999999,
    0.6890999999999999,
    0.7164000000000001,
    0.7453000000000002,
    0.7623999999999997,
    0.7581,
    0.7546999999999998,
    0.7456,
    0.7212999999999999,
    0.7126999999999998,
    0.6958000000000001,
    0.7031000000000001,
    0.6991,
    0.7104,
    0.7268999999999999,
    0.7402000000000001,
    0.7405000000000003,
    0.7282000000000002,
    0.7237,
    0.7143,
    0.7159999999999999,
    0.7170999999999997,
    0.7023999999999997,
    0.7021000000000002,
    0.7098,
    0.7223,
    0.7328,
    0.7320000000000001,
    0.7309000000000001,
    0.7359000000000001,
    0.7568000000000001,
    0.7658,
    0.7761999999999998,
    0.7861000000000001,
    0.7943000000000001,
    0.8113000000000001,
    0.8171000000000002,
    0.8149999999999998,
    0.7992,
    0.7928999999999999,
    0.7894999999999998,
    0.7906,
    0.7828999999999999,
    0.7747999999999999,
    0.7714,
    0.7797000000000001,
    0.7821000000000002,
    0.7902999999999998,
    0.7955,
    0.7979999999999998,
    0.7918999999999997,
    0.7815000000000003,
    0.7679000000000002,
    0.7634000000000001,
    0.7539000000000003,
    0.7591,
    0.7797000000000003,
    0.7921,
    0.7851,
    0.7764000000000001,
    0.7672,
    0.7409,
    0.7230000000000002,
    0.7137999999999999,
    0.7126,
    0.7077,
    0.7065,
    0.7073000000000004,
    0.7142,
    0.7290000000000001,
    0.7368,
    0.7394000000000002,
    0.7318000000000001,
    0.7220000000000002,
    0.7137000000000001,
    0.7034,
    0.7189999999999998,
    0.7241999999999998,
    0.7174,
    0.7095999999999999,
    0.6994999999999997,
    0.6924999999999998,
    0.6830999999999998,
    0.6775,
    0.6831999999999999,
    0.6879000000000001,
    0.7116000000000001,
    0.7316000000000001,
    0.7520000000000002,
    0.7575000000000001,
    0.7407999999999999,
    0.7338999999999998,
    0.7351999999999999,
    0.7297,
    0.7450999999999998,
    0.7711,
    0.7853000000000001,
    0.7905000000000001,
    0.7722,
    0.7434000000000002,
    0.7178999999999998,
    0.6968999999999999,
    0.6743,
    0.6664000000000001,
    0.6572999999999999,
    0.6311000000000002,
    0.6125999999999999,
    0.5893999999999999,
    0.6097999999999998,
    0.6259000000000002,
    0.6365000000000002,
    0.6349,
    0.6383,
    0.6512000000000002,
    0.6777999999999998,
    0.6945,
    0.7085999999999999,
    0.7407000000000001,
    0.7830000000000001,
    0.8097,
    0.8141,
    0.7927000000000002,
    0.7592000000000004,
    0.7158000000000004,
    0.6774,
    0.6514000000000002,
    0.6425000000000002,
    0.6436000000000002,
    0.675,
    0.6793999999999998,
    0.6825999999999999,
    0.6897000000000001,
    0.7143000000000003,
    0.7537000000000004,
    0.7687999999999998,
    0.7679999999999999,
    0.7570000000000002,
    0.7516999999999999,
    0.7561000000000002,
    0.7643,
    0.7658,
    0.7497000000000001,
    0.7363000000000003,
    0.7343,
    0.7659999999999998,
    0.7828999999999999,
    0.7996000000000001,
    0.8162999999999998,
    0.8415000000000001,
    0.8417000000000001,
    0.8393000000000002,
    0.8095000000000002,
    0.7827999999999997,
    0.7471000000000003,
    0.7168,
    0.7161000000000001,
    0.7094000000000003,
    0.7126,
    0.6984999999999999,
    0.6917000000000004,
    0.7031000000000003,
    0.7201,
    0.7204999999999999,
    0.7071999999999999,
    0.6951999999999998,
    0.6597999999999998,
    0.6439999999999999,
    0.6251999999999999,
    0.6093999999999998,
    0.6101,
    0.6136,
    0.6277999999999996,
    0.6371,
    0.6566,
    0.676,
    0.6765000000000001,
    0.6525000000000003,
    0.6395000000000001,
    0.6294999999999997,
    0.6310000000000001,
    0.6415000000000003,
    0.6476,
    0.6776000000000002,
    0.7087000000000001,
    0.7234,
    0.748,
    0.7728999999999997,
    0.7748,
    0.7668,
    0.7366,
    0.7238000000000002,
    0.7161000000000001,
    0.7048999999999997,
    0.7115,
    0.7204999999999998,
    0.7346000000000001,
    0.7531000000000001,
    0.7706,
    0.7736000000000001,
    0.7698999999999999,
    0.7626999999999998,
    0.7453,
    0.7202000000000004,
    0.6864,
    0.6614999999999998,
    0.6361,
    0.6119000000000001,
    0.6118,
    0.6081999999999999,
    0.6192999999999999,
    0.6407000000000002,
    0.6634,
    0.6807,
    0.7055999999999997,
    0.7063,
    0.6976000000000002,
    0.6880999999999998,
    0.7048000000000003,
    0.7285999999999999,
    0.7551000000000001,
    0.7603,
    0.754,
    0.7177000000000002,
    0.6777999999999998,
    0.6295999999999999,
    0.5893999999999999,
    0.5690999999999997,
    0.5707000000000002,
    0.5935000000000001,
    0.6233000000000002,
    0.6484000000000002,
    0.6616000000000002,
    0.6689000000000002,
    0.6832,
    0.6931999999999999,
    0.7004000000000002,
    0.691,
    0.6953999999999998,
    0.7127,
    0.7247999999999998,
    0.7226999999999998,
    0.7081999999999999,
    0.7015,
    0.7154,
    0.7320000000000002,
    0.7387,
    0.7337999999999999,
    0.7190999999999999,
    0.6996,
    0.6777999999999997,
    0.6700000000000003,
    0.6828,
    0.7206000000000001,
    0.7620999999999998,
    0.7989999999999999,
    0.8103999999999999,
    0.8126000000000001,
    0.8047,
    0.8012,
    0.7839999999999998,
    0.7647,
    0.7304,
    0.7128000000000001,
    0.7030000000000003,
    0.6985999999999999,
    0.6953000000000001,
    0.7184000000000001,
    0.7217999999999997,
    0.7391000000000004,
    0.7447,
    0.7534000000000001,
    0.7654000000000002,
    0.7688999999999999,
    0.7710999999999998,
    0.7747999999999999,
    0.7864000000000002,
    0.7990000000000002,
    0.7914999999999998,
    0.7673,
    0.7228999999999998,
    0.6822000000000001,
    0.6515000000000002,
    0.6351999999999999,
    0.6324,
    0.6355000000000002,
    0.6711999999999999,
    0.7013999999999999,
    0.7121999999999999,
    0.7240999999999999,
    0.7204999999999999,
    0.7142,
    0.7047,
    0.6980999999999999,
    0.6993999999999999,
    0.7086,
    0.7160999999999998,
    0.7233,
    0.7376000000000003,
    0.7473000000000001,
    0.743,
    0.7347999999999998,
    0.7318,
    0.7255999999999998,
    0.7079,
    0.6989999999999998,
    0.7169,
    0.726,
    0.7408000000000002,
    0.7474999999999999,
    0.7386999999999997,
    0.7446999999999998,
    0.7427000000000002,
    0.7469999999999999,
    0.7589,
    0.7483000000000001,
    0.7460999999999999,
    0.7144000000000003,
    0.6920000000000002,
    0.68,
    0.6792000000000001,
    0.6759999999999999,
    0.6843999999999999,
    0.6660000000000001,
    0.6621,
    0.6295000000000002,
    0.6108,
    0.6042000000000003,
    0.6008,
    0.5999000000000001,
    0.6074999999999998,
    0.612,
    0.6032,
    0.6144999999999999,
    0.6298999999999999,
    0.6665000000000002,
    0.6898000000000003,
    0.6941000000000004,
    0.7006999999999999,
    0.6966000000000002,
    0.6803,
    0.6586,
    0.6411,
    0.6331999999999999,
    0.6358999999999999,
    0.619,
    0.6240000000000002,
    0.6286999999999999,
    0.6453,
    0.6659000000000002,
    0.6899999999999998,
    0.7231000000000002,
    0.7331999999999997,
    0.7399,
    0.7504000000000004,
    0.7496,
    0.7599000000000001,
    0.7581,
    0.7550999999999998,
    0.7435,
    0.7432999999999998,
    0.7454000000000001,
    0.7626000000000001,
    0.7656999999999999,
    0.7641000000000002,
    0.7601,
    0.7637000000000002,
    0.7853000000000002,
    0.7919000000000002,
    0.7936000000000004,
    0.8123000000000001,
    0.8119999999999998,
    0.8250000000000002,
    0.8332999999999999,
    0.8513000000000001,
    0.8503000000000001,
    0.8407999999999999,
    0.8228,
    0.8088000000000003,
    0.796,
    0.7912,
    0.7773,
    0.7707,
    0.7807000000000001,
    0.8211,
    0.8715000000000005,
    0.8833000000000003,
    0.8811000000000001,
    0.8756,
    0.8735000000000002,
    0.8522999999999998,
    0.8301000000000002,
    0.8277,
    0.7958999999999998,
    0.7831999999999998,
    0.7559000000000001,
    0.7482,
    0.7446,
    0.7464000000000002,
    0.7666000000000003,
    0.77,
    0.7809000000000005,
    0.8069,
    0.8447000000000001,
    0.8611999999999999,
    0.8972999999999998,
    0.9393,
    0.9730999999999996,
    0.9785999999999998,
    0.9841999999999999,
    0.9728000000000002,
    0.9585999999999997,
    0.9349000000000003,
    0.9048000000000002,
    0.903,
    0.8957,
    0.8935,
    0.8930000000000002,
    0.8943000000000002,
    0.8946000000000002,
    0.8947999999999999,
    0.9063000000000001,
    0.9142000000000002,
    0.9083,
    0.9095000000000001,
    0.9042000000000001,
    0.8857999999999999,
    0.8440999999999999,
    0.8225,
    0.8119000000000002,
    0.8031,
    0.8018000000000003,
    0.7978999999999998,
    0.7929999999999998,
    0.7700000000000001,
    0.7668999999999999,
    0.7821999999999999,
    0.8214999999999999,
    0.8657999999999998,
    0.8990000000000001,
    0.9200999999999999,
    0.9233,
    0.9322999999999999,
    0.9203,
    0.9255,
    0.9446999999999998,
    0.9595999999999999,
    0.9553999999999997,
    0.9384,
    0.9362999999999999,
    0.9238000000000001,
    0.9176000000000001,
    0.9101,
    0.8911,
    0.8758,
    0.8517999999999998,
    0.8342,
    0.8177,
    0.8104000000000001,
    0.7982000000000002,
    0.7740000000000001,
    0.7451000000000004,
    0.7184000000000001,
    0.7128,
    0.7282,
    0.7510000000000001,
    0.7783,
    0.8300000000000002,
    0.8628000000000001,
    0.8907,
    0.9112000000000003,
    0.9269000000000001,
    0.9206000000000001,
    0.9380000000000002,
    0.9426999999999999,
    0.9338999999999998,
    0.9314,
    0.9366,
    0.9399,
    0.9172000000000001,
    0.8840000000000005,
    0.8598000000000003,
    0.8412999999999999,
    0.8312,
    0.8202000000000003,
    0.8219000000000002,
    0.8230000000000002,
    0.8227000000000002,
    0.8130000000000002,
    0.8157000000000003,
    0.8147000000000003,
    0.8052000000000001,
    0.7919999999999999,
    0.7873999999999999,
    0.7934,
    0.7881999999999999,
    0.7835,
    0.7815,
    0.7668999999999997,
    0.7601999999999999,
    0.7542999999999999,
    0.756,
    0.7464999999999998,
    0.7464000000000002,
    0.7458000000000001,
    0.7460000000000001,
    0.7474,
    0.7578999999999999,
    0.7655,
    0.7673000000000001,
    0.7635000000000001,
    0.7624999999999998,
    0.7644000000000001,
    0.7607999999999999,
    0.7607000000000002,
    0.7604000000000002,
    0.7614000000000001,
    0.7849,
    0.8244999999999999,
    0.8441,
    0.8544999999999999,
    0.856,
    0.8503999999999999,
    0.8536000000000001,
    0.8646999999999999,
    0.8614,
    0.8749000000000001,
    0.8903000000000001,
    0.9065999999999999,
    0.9328000000000001,
    0.9605000000000002,
    0.9793000000000001,
    0.9973,
    1.0087000000000002,
    0.9874000000000003,
    0.9870000000000001,
    0.9894,
    0.9972000000000001,
    1.0167,
    1.0204,
    1.0256,
    1.0211999999999999,
    0.9803000000000004,
    0.9638000000000004,
    0.9629,
    0.9642000000000002,
    0.972,
    0.9585,
    0.9522,
    0.9632999999999999,
    0.9470000000000001,
    0.9492000000000002,
    0.9528,
    0.9571000000000002,
    0.9517000000000003,
    0.9486,
    0.9410000000000001,
    0.9408000000000002,
    0.9238,
    0.8943000000000001,
    0.8756,
    0.8661999999999999,
    0.8596,
    0.8481999999999997,
    0.8380999999999996,
    0.8219,
    0.7951000000000003,
    0.7846,
    0.7905999999999999,
    0.8031000000000001,
    0.8190999999999999,
    0.8019999999999999,
    0.7874000000000001,
    0.7631000000000001,
    0.7527999999999998,
    0.7511000000000001,
    0.7554999999999998,
    0.7691,
    0.7796000000000003,
    0.7722000000000002,
    0.7909999999999998,
    0.7967,
    0.7994000000000002,
    0.7808999999999998,
    0.7699999999999998,
    0.7475000000000004,
    0.7519999999999999,
    0.7594000000000001,
    0.7731000000000003,
    0.7982,
    0.8188999999999999,
    0.8332000000000002,
    0.8602999999999998,
    0.8752999999999999,
    0.9060999999999999,
    0.9303999999999999,
    0.9562,
    0.9556000000000001,
    0.9470000000000001,
    0.9351000000000003,
    0.9274,
    0.9180000000000003,
    0.9136000000000002,
    0.9101,
    0.9014000000000001,
    0.8796000000000002,
    0.8432000000000001,
    0.8326000000000002,
    0.8388000000000001,
    0.8594000000000002,
    0.8705000000000002,
    0.8485999999999999,
    0.8291000000000001,
    0.8179999999999998,
    0.8172000000000001,
    0.8000999999999998,
    0.7633,
    0.7260999999999999,
    0.6965999999999998,
    0.6974000000000002,
    0.7178000000000002,
    0.7429999999999999,
    0.7751000000000006,
    0.8219999999999998,
    0.845,
    0.8463999999999998,
    0.8315,
    0.8078000000000002,
    0.7697999999999998,
    0.7458000000000001,
    0.7546999999999999,
    0.7836,
    0.8057000000000003,
    0.8098,
    0.7928999999999998,
    0.7932000000000001,
    0.7824000000000001,
    0.7894999999999999,
    0.8005000000000002,
    0.8184000000000003,
    0.8408999999999998,
    0.8506,
    0.8477000000000002,
    0.8669999999999999,
    0.8822,
    0.9039999999999999,
    0.9323999999999998,
    0.9314000000000002,
    0.9269,
    0.9210999999999999,
    0.9163999999999999,
    0.9208,
    0.9271,
    0.924,
    0.9198999999999999,
    0.9118999999999999,
    0.8881000000000001,
    0.8593999999999997,
    0.8299999999999998,
    0.8095000000000001,
    0.8081999999999999,
    0.8206,
    0.8553999999999998,
    0.8982999999999998,
    0.9228000000000003,
    0.9372,
    0.9579000000000003,
    0.9712000000000001,
    0.9898999999999999,
    0.9973000000000003,
    0.9844999999999999,
    0.9687000000000001,
    0.9403999999999999,
    0.9026000000000001,
    0.8541000000000001,
    0.8153999999999999,
    0.7885000000000002,
    0.7816999999999998,
    0.7881999999999999,
    0.7993,
    0.7989000000000005,
    0.8078000000000001,
    0.8277,
    0.8410999999999997,
    0.8295,
    0.8312000000000002,
    0.8365999999999999,
    0.8658,
    0.8814000000000002,
    0.8870999999999998,
    0.8853999999999999,
    0.8842999999999999,
    0.8812999999999998,
    0.8467999999999999,
    0.8219,
    0.8077000000000002,
    0.8145000000000001,
    0.8261000000000001,
    0.8355999999999999,
    0.8508,
    0.8627999999999999,
    0.8691000000000003,
    0.8845000000000001,
    0.9047000000000002,
    0.9152999999999998,
    0.9438999999999999,
    0.9824000000000002,
    1.004,
    1.0230000000000004,
    1.0162,
    0.9998999999999998,
    0.9833,
    0.9520000000000002,
    0.9041999999999999,
    0.8694999999999997,
    0.8608000000000002,
    0.8492999999999999,
    0.8357999999999997,
    0.8137000000000001,
    0.8064000000000002,
    0.7929999999999998,
    0.8025000000000003,
    0.8094,
    0.8115000000000002,
    0.8297000000000001,
    0.8544,
    0.8772999999999999,
    0.8991,
    0.9184,
    0.9478000000000002,
    0.9561999999999999,
    0.9574000000000004,
    0.9340999999999998,
    0.9156000000000001,
    0.8850000000000002,
    0.8642,
    0.8479,
    0.8483,
    0.8079000000000003,
    0.7977000000000003,
    0.7868999999999999,
    0.7864000000000003,
    0.7929000000000003,
    0.7951999999999999,
    0.7984,
    0.7984999999999999,
    0.7947000000000001,
    0.8136000000000001,
    0.8267000000000002,
    0.8262999999999999,
    0.8078000000000002,
    0.8066999999999999,
    0.8219,
    0.8420000000000003,
    0.8736,
    0.9081000000000002,
    0.9408000000000001,
    0.9545,
    0.9707,
    0.9669000000000004,
    0.978,
    0.9804,
    0.9733999999999999,
    0.9439000000000001,
    0.9072,
    0.8788999999999998,
    0.8594,
    0.867,
    0.8778,
    0.8823000000000003,
    0.8718000000000002,
    0.8648,
    0.8635,
    0.8600000000000001,
    0.8729,
    0.8638000000000002,
    0.8397,
    0.8267,
    0.8236999999999997,
    0.8356999999999997,
    0.8295000000000001,
    0.8189999999999997,
    0.8025999999999999,
    0.7936,
    0.7949999999999999,
    0.7995,
    0.8076000000000001,
    0.8106999999999999,
    0.8138999999999998,
    0.8256999999999999,
    0.8280999999999998,
    0.8197,
    0.8204999999999999,
    0.8057000000000001,
    0.7713999999999998,
    0.7384000000000001,
    0.6996999999999999,
    0.6676,
    0.6602000000000001,
    0.6690999999999999,
    0.6891000000000002,
    0.6836000000000002,
    0.6694,
    0.6392000000000001,
    0.6069999999999999,
    0.5890999999999997,
    0.5759,
    0.5626,
    0.5652999999999999,
    0.5757,
    0.5937,
    0.6266000000000002,
    0.6569,
    0.7083,
    0.7502,
    0.7624000000000001,
    0.7610000000000001,
    0.7408000000000002,
    0.7046,
    0.6956999999999999,
    0.6965000000000001,
    0.6997,
    0.7029000000000001,
    0.6926000000000001,
    0.6977,
    0.7008,
    0.7088,
    0.72,
    0.7295999999999997,
    0.7444999999999999,
    0.738,
    0.7311,
    0.7217000000000005,
    0.7295999999999999,
    0.7400000000000001,
    0.7565000000000002,
    0.7758000000000002,
    0.7961000000000004,
    0.8002999999999999,
    0.7967999999999998,
    0.7760999999999998,
    0.7616999999999999,
    0.7541000000000001,
    0.7493999999999998,
    0.7513999999999997,
    0.7356,
    0.7324000000000002,
    0.7365000000000002,
    0.7621000000000001,
    0.7748,
    0.7850000000000003,
    0.7894000000000001,
    0.8018,
    0.8136000000000001,
    0.8192999999999999,
    0.8044999999999999,
    0.7953999999999997,
    0.7914999999999999,
    0.7860999999999998,
    0.7722,
    0.7588999999999998,
    0.7602999999999999,
    0.7517,
    0.7655999999999997,
    0.7762,
    0.7836,
    0.8060000000000002,
    0.8229000000000001,
    0.8591000000000001,
    0.8743000000000002,
    0.8704000000000002,
    0.8628,
    0.8393,
    0.8355999999999997,
    0.8181000000000002,
    0.7936000000000001,
    0.76,
    0.7177,
    0.6933000000000002,
    0.6832000000000003,
    0.7029,
    0.7193000000000002,
    0.7154000000000004,
    0.7077999999999998,
    0.7056,
    0.7151000000000001,
    0.7121000000000003,
    0.7045000000000001,
    0.6942999999999998,
    0.6737499999999998,
    0.6594499999999996,
    0.6565999999999997,
    0.6731999999999999,
    0.6846,
    0.6906999999999999,
    0.6797,
    0.664,
    0.6501999999999998,
    0.6525,
    0.6574,
    0.6758000000000001,
    0.69535,
    0.7156999999999999,
    0.7365,
    0.7431,
    0.7542499999999998,
    0.7550500000000001,
    0.74595,
    0.7381999999999999,
    0.7170499999999999,
    0.6995499999999998,
    0.6869,
    0.6773999999999999,
    0.6772999999999999
  ],
  "sidechain": [
    0.5225,
    0.4755000000000001,
    0.5969499999999999,
    0.4750499999999999,
    0.2827499999999999,
    0.4402500000000001,
    0.48324999999999996,
    0.3229500000000001,
    0.35074999999999995,
    0.39455,
    0.5858500000000001,
    0.3153500000000001,
    0.3331500000000001,
    0.5107999999999997,
    0.3272,
    0.5487,
    0.562,
    0.6060000000000001,
    0.3559,
    0.6299500000000001,
    0.61815,
    0.5518500000000001,
    0.4817499999999999,
    0.5491500000000002,
    0.62105,
    0.5147999999999997,
    0.3020000000000001,
    0.5182000000000001,
    0.5700999999999999,
    0.6080999999999999,
    0.5999999999999998,
    0.7000999999999997,
    0.5941999999999998,
    0.6324000000000001,
    0.5560999999999999,
    0.5617000000000003,
    0.35070000000000007,
    0.36230000000000007,
    0.49409999999999993,
    0.5132000000000001,
    0.5610000000000002,
    0.6053000000000002,
    0.5743999999999998,
    0.3298999999999999,
    0.6082000000000003,
    0.6493000000000001,
    0.34400000000000003,
    0.5671999999999997,
    0.6220000000000003,
    0.6041999999999998,
    0.4955000000000001,
    0.3809,
    0.6247999999999997,
    0.5804999999999999,
    0.6052999999999998,
    0.3446,
    0.4102000000000001,
    0.6090999999999999,
    0.44480000000000014,
    0.6870000000000002,
    0.6216999999999998,
    0.6446000000000001,
    0.6577999999999999,
    0.6178999999999999,
    0.35619999999999985,
    0.6343000000000004,
    0.4163,
    0.3207999999999999,
    0.5808999999999999,
    0.5126999999999999,
    0.5085,
    0.33110000000000006,
    0.36769999999999997,
    0.6801999999999998,
    0.6587999999999998,
    0.6167999999999999,
    0.5467999999999998,
    0.6358999999999998,
    0.5579999999999999,
    0.32110000000000016,
    0.6510999999999998,
    0.5885999999999998,
    0.5820000000000003,
    0.4048,
    0.38299999999999995,
    0.5601999999999999,
    0.5607000000000002,
    0.6188999999999998,
    0.6868000000000002,
    0.6251000000000002,
    0.376,
    0.5694999999999998,
    0.6113,
    0.6072,
    0.3168999999999999,
    0.4935,
    0.35979999999999995,
    0.5705,
    0.5273,
    0.5014000000000001,
    0.30979999999999996,
    0.37610000000000016,
    0.6262,
    0.4138,
    0.5993999999999999,
    0.608,
    0.6443000000000004,
    0.3577000000000001,
    0.3344,
    0.3513,
    0.4668999999999998,
    0.5137,
    0.28020000000000006,
    0.4734999999999998,
    0.49799999999999994,
    0.6112,
    0.5601000000000002,
    0.5428999999999999,
    0.5141000000000001,
    0.5227999999999999,
    0.5873999999999999,
    0.40440000000000015,
    0.5352,
    0.6358999999999999,
    0.6180999999999994,
    0.3529,
    0.6045,
    0.6005999999999999,
    0.29899999999999993,
    0.30909999999999993,
    0.35839999999999994,
    0.3285999999999999,
    0.31800000000000006,
    0.4893000000000002,
    0.5086999999999998,
    0.3149,
    0.3237,
    0.4902999999999999,
    0.5493999999999999,
    0.5602,
    0.5298,
    0.3544,
    0.5191000000000001,
    0.3615,
    0.3512999999999999,
    0.30689999999999984,
    0.30710000000000015,
    0.5509000000000002,
    0.2765000000000001,
    0.2839,
    0.5465,
    0.6181,
    0.5024,
    0.5838999999999999,
    0.5633,
    0.3008,
    0.5547,
    0.5172000000000001,
    0.3143999999999999,
    0.37150000000000005,
    0.5752999999999998,
    0.6144999999999999,
    0.5929000000000001,
    0.3020000000000001,
    0.5364999999999999,
    0.6387,
    0.36510000000000026,
    0.5382999999999998,
    0.3974000000000001,
    0.6016999999999999,
    0.3965,
    0.5805,
    0.3544000000000001,
    0.4266999999999999,
    0.6905999999999999,
    0.6462999999999999,
    0.6559999999999998,
    0.6234000000000001,
    0.6327000000000003,
    0.5640999999999999,
    0.5926,
    0.6788000000000001,
    0.6481000000000001,
    0.6849999999999999,
    0.6658000000000002,
    0.6748999999999999,
    0.6134000000000002,
    0.6587,
    0.6481,
    0.46580000000000005,
    0.6428999999999999,
    0.6808,
    0.6502999999999998,
    0.6703000000000001,
    0.6381999999999997,
    0.6072,
    0.6165999999999999,
    0.4226999999999999,
    0.6371000000000002,
    0.6263000000000002,
    0.44280000000000014,
    0.602,
    0.6258999999999999,
    0.35180000000000006,
    0.5347000000000002,
    0.5559,
    0.38759999999999994,
    0.5950999999999997,
    0.49310000000000015,
    0.3573000000000001,
    0.6037999999999996,
    0.38720000000000016,
    0.6069999999999998,
    0.6164999999999999,
    0.6859000000000001,
    0.6389999999999998,
    0.6328999999999998,
    0.6387999999999999,
    0.6255,
    0.3929,
    0.6174,
    0.6185,
    0.6110999999999999,
    0.5986999999999997,
    0.5844999999999997,
    0.5684,
    0.6313999999999999,
    0.4054999999999998,
    0.3616000000000001,
    0.39760000000000006,
    0.35029999999999994,
    0.5073999999999999,
    0.41570000000000007,
    0.6620999999999998,
    0.6380000000000003,
    0.5964,
    0.6436000000000001,
    0.5418000000000001,
    0.5033,
    0.2983999999999999,
    0.5009999999999999,
    0.4452000000000001,
    0.4442,
    0.4404,
    0.3205999999999999,
    0.5260999999999998,
    0.3678,
    0.5316999999999998,
    0.5783999999999999,
    0.5036000000000002,
    0.5805999999999998,
    0.6348,
    0.6269999999999998,
    0.5859,
    0.6148000000000001,
    0.6448000000000003,
    0.5868000000000002,
    0.5775999999999998,
    0.5821,
    0.5500999999999999,
    0.38770000000000004,
    0.33159999999999995,
    0.5057999999999998,
    0.5869999999999999,
    0.5792999999999996,
    0.5150999999999999,
    0.5217999999999999,
    0.5784000000000001,
    0.33140000000000003,
    0.43600000000000005,
    0.6619,
    0.6229999999999999,
    0.5906,
    0.5084000000000001,
    0.5809000000000001,
    0.4961999999999998,
    0.5599000000000001,
    0.5811999999999998,
    0.6042999999999998,
    0.3365,
    0.6174,
    0.6158999999999997,
    0.5175,
    0.5166,
    0.5685999999999998,
    0.40119999999999995,
    0.5576,
    0.5778000000000003,
    0.563,
    0.5011999999999999,
    0.46280000000000004,
    0.4887999999999999,
    0.5383,
    0.5371000000000004,
    0.39260000000000006,
    0.6079,
    0.5376000000000001,
    0.4167999999999997,
    0.6204000000000001,
    0.6874000000000001,
    0.43310000000000004,
    0.5861000000000001,
    0.5879999999999999,
    0.6191,
    0.3940999999999999,
    0.3205,
    0.5837,
    0.5283999999999999,
    0.5636999999999998,
    0.5890000000000001,
    0.6449000000000001,
    0.5616999999999998,
    0.6334,
    0.6385999999999997,
    0.6761,
    0.39150000000000007,
    0.47780000000000006,
    0.6439999999999999,
    0.6606000000000002,
    0.6499000000000003,
    0.37879999999999997,
    0.44469999999999993,
    0.5763,
    0.40700000000000014,
    0.6290999999999998,
    0.6026999999999997,
    0.6086,
    0.4415999999999998,
    0.32830000000000004,
    0.5758,
    0.5459000000000002,
    0.32050000000000006,
    0.3527999999999999,
    0.5337999999999997,
    0.6056999999999998,
    0.631,
    0.6879000000000001,
    0.6965999999999998,
    0.6946999999999998,
    0.6493999999999999,
    0.6620000000000003,
    0.6312000000000001,
    0.5681999999999999,
    0.4848,
    0.5572999999999998,
    0.5006999999999999,
    0.24340000000000006,
    0.3187,
    0.2803000000000001,
    0.35719999999999996,
    0.5556000000000001,
    0.5980999999999999,
    0.5741999999999998,
    0.5883999999999998,
    0.5766,
    0.3735999999999999,
    0.43549999999999994,
    0.5552999999999999,
    0.31550000000000006,
    0.3345999999999999,
    0.5891000000000001,
    0.5973999999999998,
    0.5928999999999999,
    0.6365999999999999,
    0.5607,
    0.38269999999999993,
    0.609,
    0.5852000000000004,
    0.3706999999999999,
    0.3476,
    0.5456000000000001,
    0.5668000000000002,
    0.3604999999999999,
    0.4318999999999999,
    0.5451,
    0.6593000000000002,
    0.3525,
    0.3604,
    0.5725000000000001,
    0.7125999999999998,
    0.5695,
    0.3491,
    0.5428999999999999,
    0.34689999999999993,
    0.5438000000000001,
    0.3418,
    0.6484000000000001,
    0.5936000000000001,
    0.5835,
    0.5813,
    0.335,
    0.502,
    0.2843000000000001,
    0.32689999999999997,
    0.5976,
    0.3676,
    0.5728999999999996,
    0.39460000000000006,
    0.6006,
    0.33310000000000006,
    0.37500000000000006,
    0.6097000000000002,
    0.41719999999999974,
    0.5757000000000001,
    0.5967999999999999,
    0.5436,
    0.3067000000000001,
    0.5659999999999997,
    0.6046999999999999,
    0.5107999999999998,
    0.5888999999999999,
    0.6312999999999996,
    0.5798999999999997,
    0.3488000000000001,
    0.6175999999999998,
    0.3901,
    0.3496999999999999,
    0.4181999999999999,
    0.6631999999999999,
    0.6282999999999996,
    0.5648000000000002,
    0.6328,
    0.6156000000000001,
    0.5826999999999998,
    0.5985000000000003,
    0.619,
    0.6048000000000001,
    0.5680000000000001,
    0.6268999999999999,
    0.5220999999999999,
    0.5557000000000002,
    0.6496999999999998,
    0.6838999999999996,
    0.6136000000000003,
    0.40659999999999996,
    0.42260000000000003,
    0.39659999999999995,
    0.5938000000000001,
    0.5933000000000002,
    0.35840000000000005,
    0.3247,
    0.34429999999999983,
    0.5312999999999998,
    0.6144000000000001,
    0.30599999999999994,
    0.6207,
    0.6301,
    0.5207000000000003,
    0.5444000000000001,
    0.3148999999999999,
    0.5838,
    0.6053999999999999,
    0.5594999999999998,
    0.6484999999999999,
    0.6417000000000002,
    0.5894999999999999,
    0.3519000000000001,
    0.6343000000000001,
    0.6063999999999998,
    0.30049999999999993,
    0.5839,
    0.40980000000000005,
    0.3391000000000002,
    0.30740000000000006,
    0.5477,
    0.6074,
    0.6072,
    0.35630000000000006,
    0.5902999999999998,
    0.6081000000000001,
    0.6135000000000002,
    0.6012999999999998,
    0.38079999999999997,
    0.3926999999999998,
    0.5805,
    0.5961000000000001,
    0.5626999999999998,
    0.5922,
    0.5285000000000002,
    0.3231000000000001,
    0.38689999999999997,
    0.6089000000000002,
    0.6485999999999997,
    0.6492000000000001,
    0.6356,
    0.6140999999999999,
    0.42809999999999987,
    0.6416999999999999,
    0.6274999999999997,
    0.36039999999999994,
    0.6161,
    0.6044,
    0.6010999999999999,
    0.6284999999999998,
    0.44419999999999993,
    0.5484999999999999,
    0.5461999999999998,
    0.5667000000000001,
    0.5953999999999998,
    0.39149999999999996,
    0.5766999999999997,
    0.6360000000000002,
    0.627,
    0.5776999999999999,
    0.6282000000000002,
    0.6696,
    0.6838999999999998,
    0.41250000000000003,
    0.7023,
    0.7388,
    0.6747999999999996,
    0.6299999999999999,
    0.47069999999999984,
    0.6755,
    0.5549,
    0.6263,
    0.6075,
    0.5794999999999998,
    0.5747000000000001,
    0.5154000000000001,
    0.5535999999999996,
    0.34630000000000005,
    0.34059999999999985,
    0.5803999999999998,
    0.30850000000000016,
    0.5583,
    0.5418,
    0.5829999999999999,
    0.38039999999999996,
    0.5523999999999999,
    0.6424000000000001,
    0.5362000000000001,
    0.6388000000000001,
    0.5595,
    0.6211999999999999,
    0.6305000000000002,
    0.4188999999999998,
    0.6689,
    0.6358999999999998,
    0.5964999999999999,
    0.6386,
    0.3767,
    0.37320000000000003,
    0.6007999999999999,
    0.3639,
    0.5443999999999999,
    0.5325,
    0.6098999999999998,
    0.6484000000000001,
    0.3731000000000001,
    0.44899999999999995,
    0.6573999999999998,
    0.7454000000000003,
    0.6739,
    0.566,
    0.6459999999999999,
    0.6343999999999999,
    0.5097999999999999,
    0.3135999999999999,
    0.3817,
    0.6200000000000001,
    0.4732999999999999,
    0.5997999999999996,
    0.6451,
    0.6510999999999997,
    0.5872999999999999,
    0.448,
    0.6365999999999999,
    0.7233999999999998,
    0.6287999999999998,
    0.41159999999999997,
    0.6341,
    0.3625000000000002,
    0.45840000000000003,
    0.36169999999999997,
    0.3567,
    0.6081,
    0.3926,
    0.5934999999999996,
    0.32519999999999993,
    0.5184999999999998,
    0.655,
    0.5860000000000002,
    0.6902000000000004,
    0.6311999999999998,
    0.6147,
    0.6668000000000002,
    0.4124999999999999,
    0.6144000000000002,
    0.6574000000000001,
    0.38580000000000003,
    0.5431999999999999,
    0.6113000000000001,
    0.6830999999999999,
    0.6635999999999999,
    0.6240999999999999,
    0.5469999999999995,
    0.6235999999999997,
    0.6231999999999998,
    0.5624999999999999,
    0.3838999999999999,
    0.4194000000000001,
    0.5710000000000002,
    0.5348000000000002,
    0.4807,
    0.5830000000000002,
    0.6000000000000001,
    0.5762999999999998,
    0.6013999999999996,
    0.5944,
    0.35380000000000006,
    0.2936,
    0.3140999999999999,
    0.4885000000000001,
    0.4841999999999999,
    0.5605999999999999,
    0.5541999999999999,
    0.3671000000000001,
    0.5326999999999998,
    0.5434000000000001,
    0.4829,
    0.3761,
    0.5152,
    0.5844999999999999,
    0.5303999999999999,
    0.3161,
    0.3716,
    0.5856,
    0.3585999999999999,
    0.5704999999999998,
    0.3917000000000001,
    0.5593999999999997,
    0.27749999999999997,
    0.3282000000000001,
    0.5230000000000001,
    0.5487999999999998,
    0.5932999999999998,
    0.6539999999999999,
    0.3612999999999998,
    0.6603000000000002,
    0.6116000000000001,
    0.5827000000000002,
    0.5691999999999999,
    0.5581,
    0.3219,
    0.5977000000000001,
    0.6033000000000002,
    0.614,
    0.6389999999999999,
    0.6583000000000002,
    0.40639999999999993,
    0.6268,
    0.6136,
    0.5975999999999999,
    0.5099000000000001,
    0.37,
    0.6341000000000002,
    0.4061,
    0.5801,
    0.5431999999999999,
    0.6242,
    0.39709999999999995,
    0.38440000000000013,
    0.6179,
    0.36350000000000005,
    0.30889999999999995,
    0.3268000000000001,
    0.5397999999999998,
    0.5518999999999997,
    0.3039,
    0.5376000000000001,
    0.5473,
    0.3736000000000002,
    0.5708,
    0.3766000000000001,
    0.648,
    0.6294000000000001,
    0.5961000000000001,
    0.6291000000000003,
    0.6130000000000001,
    0.37329999999999997,
    0.547,
    0.5765,
    0.38789999999999997,
    0.5156999999999999,
    0.5882,
    0.6169,
    0.633,
    0.5206,
    0.5233000000000001,
    0.5719000000000001,
    0.6117999999999999,
    0.5164000000000003,
    0.6296999999999999,
    0.3889,
    0.5910000000000001,
    0.6307,
    0.6394999999999998,
    0.6477,
    0.6868,
    0.4802000000000002,
    0.7031999999999997,
    0.6707999999999998,
    0.7083,
    0.6916,
    0.4743000000000002,
    0.6922000000000001,
    0.6850000000000002,
    0.6644999999999996,
    0.4262,
    0.6252000000000004,
    0.5997999999999999,
    0.6303999999999998,
    0.626,
    0.6293,
    0.40509999999999996,
    0.3041,
    0.5423999999999997,
    0.5062000000000002,
    0.3499,
    0.32120000000000004,
    0.5177,
    0.6051,
    0.5374000000000002,
    0.33109999999999984,
    0.3656000000000002,
    0.5312,
    0.47140000000000015,
    0.5110999999999999,
    0.2877000000000001,
    0.3201,
    0.5294999999999999,
    0.5588999999999998,
    0.5435,
    0.6251000000000003,
    0.5524,
    0.5763,
    0.5903999999999998,
    0.3392,
    0.5100999999999998,
    0.5099999999999999,
    0.31,
    0.5337000000000001,
    0.5755999999999998,
    0.5302999999999998,
    0.5646000000000001,
    0.5889999999999999,
    0.40149999999999997,
    0.5501999999999999,
    0.5351,
    0.5476000000000002,
    0.5229,
    0.3679,
    0.3148000000000001,
    0.5006999999999999,
    0.5763,
    0.2804999999999999,
    0.5949999999999996,
    0.5920000000000001,
    0.37749999999999995,
    0.33480000000000004,
    0.6515,
    0.3443,
    0.2782000000000001,
    0.31860000000000016,
    0.35429999999999995,
    0.5670000000000001,
    0.4867,
    0.5841999999999996,
    0.541,
    0.34869999999999973,
    0.30980000000000013,
    0.4839,
    0.49609999999999993,
    0.3019000000000001,
    0.5274999999999999,
    0.5273999999999998,
    0.5611000000000002,
    0.466,
    0.3182,
    0.5418,
    0.32590000000000013,
    0.4786,
    0.5149,
    0.4735000000000001,
    0.5301999999999999,
    0.5724999999999998,
    0.48019999999999996,
    0.27699999999999997,
    0.3496,
    0.5168999999999999,
    0.38010000000000005,
    0.5512,
    0.36819999999999986,
    0.5952999999999998,
    0.5884,
    0.35409999999999997,
    0.6517000000000001,
    0.6043,
    0.6171000000000001,
    0.5385999999999999,
    0.5426,
    0.3426,
    0.5626000000000001,
    0.4830999999999999,
    0.5878,
    0.34559999999999996,
    0.4138,
    0.5125000000000001,
    0.34270000000000006,
    0.5585000000000003,
    0.4875999999999999,
    0.5008,
    0.48750000000000016,
    0.5417000000000002,
    0.5170000000000001,
    0.5633,
    0.5419,
    0.34290000000000004,
    0.35600000000000004,
    0.3247,
    0.4859,
    0.604,
    0.5831000000000002,
    0.5761999999999997,
    0.5065000000000001,
    0.4996,
    0.5498000000000001,
    0.5114000000000001,
    0.49519999999999986,
    0.33199999999999996,
    0.5555000000000002,
    0.5471999999999999,
    0.29009999999999997,
    0.3512999999999999,
    0.5769000000000002,
    0.5236000000000001,
    0.4632000000000001,
    0.5737000000000003,
    0.5824999999999999,
    0.5584999999999997,
    0.34369999999999995,
    0.49250000000000005,
    0.32999999999999996,
    0.4817,
    0.5471999999999999,
    0.3361999999999999,
    0.4931,
    0.3674000000000001,
    0.48710000000000003,
    0.49560000000000004,
    0.5444999999999997,
    0.5184000000000001,
    0.32250000000000006,
    0.5216,
    0.5421000000000001,
    0.5605999999999999,
    0.29669999999999985,
    0.5397000000000002,
    0.4780999999999999,
    0.5043000000000002,
    0.5511,
    0.34669999999999995,
    0.5536000000000001,
    0.5958999999999999,
    0.586,
    0.35120000000000007,
    0.5854999999999999,
    0.5504,
    0.5765999999999999,
    0.3554999999999999,
    0.2909000000000001,
    0.3047000000000001,
    0.586,
    0.5273,
    0.34650000000000014,
    0.5208,
    0.5626,
    0.5483,
    0.5343,
    0.5593,
    0.5406999999999998,
    0.34510000000000013,
    0.3143999999999999,
    0.2997999999999999,
    0.31950000000000006,
    0.5265,
    0.4755000000000001,
    0.4629000000000001,
    0.5785999999999998,
    0.49080000000000007,
    0.5456999999999999,
    0.3686999999999999,
    0.5788999999999996,
    0.38100000000000017,
    0.5353000000000001,
    0.5017000000000001,
    0.6277999999999998,
    0.4964999999999999,
    0.33380000000000004,
    0.5747,
    0.5284,
    0.28989999999999994,
    0.5473999999999998,
    0.5475,
    0.45920000000000005,
    0.34440000000000015,
    0.5850000000000001,
    0.3699,
    0.5872,
    0.6173000000000001,
    0.6504000000000002,
    0.6135,
    0.3964999999999999,
    0.6890999999999999,
    0.6562999999999999,
    0.37120000000000003,
    0.5180999999999999,
    0.4986,
    0.5529000000000002,
    0.25669999999999993,
    0.33559999999999995,
    0.6007,
    0.5559000000000001,
    0.604,
    0.38719999999999993,
    0.6113,
    0.6052999999999998,
    0.388,
    0.5877999999999997,
    0.6153999999999998,
    0.6261,
    0.6287999999999998,
    0.3928,
    0.4286,
    0.6396999999999998,
    0.4013000000000001,
    0.6212000000000002,
    0.5779000000000001,
    0.5251999999999999,
    0.5330999999999999,
    0.6350999999999999,
    0.3673,
    0.5997000000000001,
    0.5925000000000002,
    0.38449999999999995,
    0.6415000000000003,
    0.40260000000000007,
    0.4148000000000001,
    0.5327999999999998,
    0.5148,
    0.5454000000000001,
    0.5307999999999997,
    0.5772999999999998,
    0.398,
    0.5862999999999998,
    0.5580000000000002,
    0.6242,
    0.40870000000000006,
    0.3652000000000002,
    0.6382,
    0.6436,
    0.5554999999999997,
    0.6044,
    0.6719999999999998,
    0.6054000000000002,
    0.5816999999999999,
    0.6051000000000002,
    0.6659999999999997,
    0.5945999999999997,
    0.35530000000000006,
    0.5348999999999999,
    0.6087000000000001,
    0.6317,
    0.5906000000000001,
    0.5828,
    0.4376999999999999,
    0.5907,
    0.5672000000000003,
    0.6749000000000003,
    0.4405,
    0.4131000000000001,
    0.6395,
    0.6349,
    0.39859999999999995,
    0.4010999999999999,
    0.6310999999999998,
    0.5425999999999999,
    0.5627999999999999,
    0.5118999999999999,
    0.5384000000000002,
    0.3104000000000001,
    0.4939,
    0.5701,
    0.3764,
    0.5728,
    0.5310000000000002,
    0.4002000000000001,
    0.6051,
    0.5880999999999997,
    0.5770999999999997,
    0.5873,
    0.6146000000000001,
    0.40590000000000004,
    0.30820000000000003,
    0.39529999999999993,
    0.3196000000000001,
    0.33109999999999995,
    0.35679999999999984,
    0.5422,
    0.5879000000000001,
    0.4165,
    0.3393,
    0.5826,
    0.6144999999999999,
    0.584,
    0.4132,
    0.36780000000000007,
    0.6057000000000001,
    0.6179,
    0.3834000000000001,
    0.41809999999999997,
    0.6551,
    0.6521999999999999,
    0.6119999999999999,
    0.6651999999999999,
    0.47090000000000004,
    0.43359999999999993,
    0.6857999999999999,
    0.6710999999999999,
    0.42560000000000003,
    0.6319999999999999,
    0.6532999999999998,
    0.6604999999999999,
    0.7065999999999998,
    0.3987000000000001,
    0.4361,
    0.6165999999999998,
    0.6102999999999996,
    0.6080000000000001,
    0.6093000000000002,
    0.6258999999999999,
    0.4247000000000001,
    0.4437000000000001,
    0.6115999999999999,
    0.5715000000000001,
    0.6180000000000001,
    0.6566999999999998,
    0.6926999999999999,
    0.47409999999999985,
    0.4492,
    0.6535,
    0.7141000000000001,
    0.4326000000000001,
    0.5515999999999996,
    0.6253000000000001,
    0.6431000000000001,
    0.5262,
    0.4132,
    0.4052,
    0.41979999999999995,
    0.5858,
    0.358,
    0.33720000000000006,
    0.5801999999999996,
    0.5815,
    0.5890000000000001,
    0.4075,
    0.3796,
    0.37360000000000015,
    0.6293999999999997,
    0.5905999999999998,
    0.6181999999999997,
    0.5661999999999999,
    0.6115000000000003,
    0.5719,
    0.6243999999999998,
    0.5586,
    0.5732999999999999,
    0.5829000000000002,
    0.5993999999999999,
    0.3863000000000001,
    0.5940999999999996,
    0.5500999999999999,
    0.6582999999999997,
    0.37519999999999987,
    0.6081999999999999,
    0.5730999999999997,
    0.6407999999999998,
    0.3238,
    0.3838000000000002,
    0.41779999999999995,
    0.39070000000000005,
    0.5817000000000001,
    0.6103000000000001,
    0.3047000000000001,
    0.6268,
    0.40410000000000007,
    0.6031999999999998,
    0.6004,
    0.6014999999999998,
    0.6435999999999997,
    0.6063,
    0.6548,
    0.4704,
    0.4499,
    0.4124000000000001,
    0.6837999999999997,
    0.419,
    0.40339999999999987,
    0.6197,
    0.6527999999999998,
    0.3863,
    0.40619999999999995,
    0.39890000000000003,
    0.6046,
    0.5739,
    0.6240999999999999,
    0.5940999999999997,
    0.6660000000000001,
    0.6991000000000003,
    0.6800999999999998,
    0.4350000000000001,
    0.6517,
    0.4172,
    0.6888000000000001,
    0.4473999999999999,
    0.6522,
    0.6241000000000002,
    0.4261000000000001,
    0.32800000000000007,
    0.5461999999999999,
    0.3881999999999999,
    0.3584000000000001,
    0.5845999999999999,
    0.4049,
    0.3012999999999999,
    0.38860000000000006,
    0.3786999999999999,
    0.38000000000000006,
    0.3724,
    0.6209,
    0.6244999999999999,
    0.6097000000000001,
    0.6115000000000002,
    0.43920000000000003,
    0.5379,
    0.5699,
    0.6278000000000001,
    0.3450999999999999,
    0.5092999999999999,
    0.5985,
    0.37370000000000003,
    0.6055999999999999,
    0.3655,
    0.4387999999999999,
    0.38239999999999996,
    0.6069,
    0.38050000000000006,
    0.5591000000000003,
    0.5797999999999998,
    0.3887,
    0.2991999999999999,
    0.3502,
    0.33240000000000014,
    0.5705,
    0.3047,
    0.28980000000000006,
    0.5589999999999999,
    0.37709999999999994,
    0.5322000000000001,
    0.3120999999999999,
    0.5554000000000001,
    0.5137999999999998,
    0.5770999999999995,
    0.5733000000000001,
    0.5561000000000001,
    0.6164999999999997,
    0.37159999999999993,
    0.5244999999999999,
    0.5666,
    0.5036999999999997,
    0.5252999999999999,
    0.5834999999999999,
    0.3123,
    0.6168999999999999,
    0.3686000000000001,
    0.48719999999999997,
    0.4859999999999999,
    0.3378,
    0.5167999999999999,
    0.4899,
    0.5116,
    0.6269,
    0.3241,
    0.3785,
    0.6671000000000001,
    0.5983999999999999,
    0.6000999999999997,
    0.3287000000000002,
    0.5345000000000001,
    0.36830000000000007,
    0.6373000000000001,
    0.3789,
    0.6004,
    0.6246,
    0.31450000000000006,
    0.32809999999999995,
    0.6560999999999999,
    0.39660000000000006,
    0.5154999999999998,
    0.5615000000000001,
    0.584,
    0.2890999999999998,
    0.5058999999999999,
    0.48190000000000005,
    0.2956000000000001,
    0.5672,
    0.5061999999999998,
    0.3317,
    0.273,
    0.5180999999999999,
    0.5009,
    0.5187,
    0.2746,
    0.5932000000000001,
    0.5487,
    0.30929999999999996,
    0.25140000000000007,
    0.5155000000000002,
    0.4776,
    0.4045999999999999,
    0.2848,
    0.30779999999999996,
    0.31190000000000007,
    0.23350000000000007,
    0.28170000000000006,
    0.4890999999999999,
    0.3112999999999999,
    0.4393999999999999,
    0.322,
    0.4312,
    0.4274000000000001,
    0.4784999999999999,
    0.2477999999999999,
    0.5461000000000003,
    0.3616000000000001,
    0.27850000000000014,
    0.3115,
    0.5224000000000002,
    0.5469000000000003,
    0.5446999999999999,
    0.32290000000000013,
    0.25789999999999996,
    0.3169,
    0.4833999999999998,
    0.26049999999999995,
    0.43010000000000015,
    0.5249,
    0.23779999999999996,
    0.2434,
    0.5488,
    0.5169999999999999,
    0.33109999999999995,
    0.32880000000000004,
    0.32949999999999985,
    0.49860000000000015,
    0.4380999999999999,
    0.2975,
    0.5155000000000002,
    0.3268,
    0.30539999999999995,
    0.27130000000000004,
    0.5015999999999999,
    0.3094,
    0.3051999999999999,
    0.5200999999999998,
    0.2881000000000001,
    0.2795999999999998,
    0.5429999999999998,
    0.30340000000000006,
    0.37399999999999983,
    0.5574000000000001,
    0.6136999999999999,
    0.5882999999999999,
    0.5355000000000002,
    0.5917999999999998,
    0.3077000000000001,
    0.5810000000000001,
    0.5718000000000002,
    0.36899999999999994,
    0.5583999999999999,
    0.33619999999999994,
    0.48160000000000003,
    0.5473000000000001,
    0.4303000000000001,
    0.4202,
    0.5347000000000001,
    0.5145999999999997,
    0.5003000000000001,
    0.4752,
    0.2594,
    0.2737000000000001,
    0.2959999999999999,
    0.3153,
    0.5836999999999999,
    0.534,
    0.5512000000000001,
    0.26709999999999995,
    0.5677999999999999,
    0.5596000000000002,
    0.48769999999999997,
    0.2126000000000001,
    0.4302999999999999,
    0.5105000000000001,
    0.2937,
    0.4634,
    0.48139999999999994,
    0.23260000000000008,
    0.406,
    0.5009999999999998,
    0.46289999999999987,
    0.2524,
    0.4358999999999998,
    0.22270000000000006,
    0.4565000000000001,
    0.4725999999999998,
    0.3235,
    0.4313,
    0.4682,
    0.5521000000000001,
    0.24789999999999998,
    0.5621000000000002,
    0.5809999999999998,
    0.5180999999999999,
    0.5278999999999999,
    0.2739000000000001,
    0.2522,
    0.4613000000000001,
    0.3546999999999999,
    0.2987,
    0.4749000000000001,
    0.3220000000000002,
    0.5549999999999999,
    0.26810000000000006,
    0.5072999999999998,
    0.5297000000000001,
    0.5691000000000002,
    0.4844999999999999,
    0.28359999999999996,
    0.24359999999999996,
    0.45069999999999993,
    0.2544,
    0.5458,
    0.3386000000000002,
    0.5403999999999999,
    0.5178000000000001,
    0.48650000000000004,
    0.4855000000000001,
    0.31320000000000003,
    0.5391,
    0.44570000000000004,
    0.4567999999999999,
    0.4895999999999999,
    0.49140000000000006,
    0.3067000000000001,
    0.5058,
    0.2814,
    0.4704000000000001,
    0.28750000000000003,
    0.27240000000000003,
    0.45000000000000007,
    0.49119999999999986,
    0.5116,
    0.46650000000000014,
    0.5208,
    0.4693999999999999,
    0.43549999999999994,
    0.25939999999999996,
    0.4886,
    0.47589999999999993,
    0.4856000000000002,
    0.5082,
    0.2502000000000001,
    0.5004999999999998,
    0.5629000000000002,
    0.33459999999999995,
    0.28390000000000015,
    0.4588000000000001,
    0.5095000000000001,
    0.5155999999999998,
    0.32099999999999984,
    0.2986999999999999,
    0.5307000000000001,
    0.5672000000000001,
    0.5526999999999999,
    0.6834999999999998,
    0.5582999999999999,
    0.5384999999999999,
    0.3081,
    0.5071,
    0.5753999999999999,
    0.5443999999999997,
    0.6408,
    0.38499999999999995,
    0.5315999999999997,
    0.3725000000000002,
    0.6032999999999998,
    0.36540000000000006,
    0.3415999999999999,
    0.5552,
    0.5742999999999998,
    0.6218000000000001,
    0.5213999999999999,
    0.5013,
    0.5152000000000001,
    0.6174999999999999,
    0.5603000000000001,
    0.6094999999999997,
    0.6532999999999999,
    0.6275999999999997,
    0.5817000000000001,
    0.6376999999999999,
    0.5594999999999998,
    0.3883999999999999,
    0.35960000000000014,
    0.3232,
    0.5045999999999999,
    0.5216000000000001,
    0.3261,
    0.5179000000000001,
    0.491,
    0.4896999999999999,
    0.3441,
    0.5550999999999998,
    0.31720000000000004,
    0.5544999999999998,
    0.5135000000000001,
    0.5958,
    0.3738000000000001,
    0.3417000000000001,
    0.5075999999999999,
    0.3496,
    0.5455,
    0.5819999999999999,
    0.2884,
    0.4856,
    0.27580000000000005,
    0.29519999999999996,
    0.5165000000000001,
    0.5217,
    0.4638999999999999,
    0.2902000000000001,
    0.5545999999999999,
    0.6187,
    0.5760999999999997,
    0.6001999999999998,
    0.3148999999999997,
    0.5790000000000003,
    0.4829,
    0.32340000000000013,
    0.30129999999999996,
    0.5704999999999996,
    0.3644,
    0.32739999999999997,
    0.5740000000000002,
    0.5689000000000002,
    0.6265999999999999,
    0.4938999999999999,
    0.501,
    0.33880000000000005,
    0.29009999999999997,
    0.3419999999999999,
    0.5579999999999998,
    0.5372999999999999,
    0.5106000000000004,
    0.4904999999999998,
    0.5287999999999998,
    0.45099999999999996,
    0.4906999999999999,
    0.252,
    0.45999999999999985,
    0.4703,
    0.4565,
    0.48210000000000003,
    0.5264000000000001,
    0.5695999999999999,
    0.32460000000000006,
    0.3623000000000001,
    0.5737000000000001,
    0.29909999999999987,
    0.2839,
    0.5197,
    0.45799999999999996,
    0.4935999999999998,
    0.23810000000000012,
    0.3100000000000001,
    0.28250000000000003,
    0.25970000000000015,
    0.3329000000000001,
    0.352,
    0.3039000000000001,
    0.3350000000000001,
    0.5329000000000002,
    0.3489,
    0.3331,
    0.31800000000000006,
    0.4593000000000001,
    0.27430000000000004,
    0.27779999999999994,
    0.2196,
    0.5,
    0.4977,
    0.2628000000000001,
    0.36929999999999996,
    0.5935999999999999,
    0.3254,
    0.3698999999999999,
    0.40090000000000015,
    0.5440999999999999,
    0.30429999999999996,
    0.5594999999999999,
    0.5845000000000001,
    0.28980000000000006,
    0.35310000000000014,
    0.31989999999999996,
    0.3373000000000002,
    0.3462000000000001,
    0.5697999999999998,
    0.5644,
    0.37710000000000005,
    0.5403,
    0.5942999999999999,
    0.315,
    0.38390000000000013,
    0.5380999999999999,
    0.323,
    0.5916999999999999,
    0.48240000000000005,
    0.3017000000000001,
    0.6244999999999999,
    0.5703,
    0.5263000000000001,
    0.5765000000000001,
    0.5522999999999998,
    0.5172,
    0.5231000000000002,
    0.5287999999999997,
    0.3642,
    0.5192999999999999,
    0.3440999999999999,
    0.3549,
    0.3297999999999999,
    0.5394000000000002,
    0.2733,
    0.3339000000000001,
    0.5260000000000002,
    0.48559999999999987,
    0.48100000000000004,
    0.5319000000000002,
    0.5639000000000002,
    0.4821999999999999,
    0.5450999999999999,
    0.48949999999999994,
    0.5250999999999999,
    0.48929999999999985,
    0.449,
    0.3161,
    0.45920000000000005,
    0.27179999999999993,
    0.5436000000000001,
    0.5053000000000002,
    0.527,
    0.5532,
    0.4859000000000001,
    0.48530000000000006,
    0.5598999999999998,
    0.5049,
    0.5678,
    0.34030000000000005,
    0.333,
    0.5384000000000001,
    0.5234000000000001,
    0.5188999999999998,
    0.5295000000000002,
    0.32039999999999996,
    0.3062000000000001,
    0.29120000000000007,
    0.4688000000000001,
    0.4871,
    0.4424000000000002,
    0.5044,
    0.4757999999999999,
    0.5330999999999998,
    0.5036,
    0.4768999999999999,
    0.29979999999999996,
    0.2649,
    0.3177999999999999,
    0.49670000000000003,
    0.5571000000000003,
    0.5581999999999998,
    0.6041,
    0.6083999999999999,
    0.5840000000000001,
    0.3072999999999999,
    0.32110000000000016,
    0.3350000000000002,
    0.4681999999999999,
    0.4589000000000001,
    0.4961,
    0.5879000000000001,
    0.33869999999999995,
    0.4941000000000001,
    0.5208,
    0.551,
    0.5518,
    0.3246,
    0.29140000000000005,
    0.5806999999999999,
    0.5055999999999999,
    0.36309999999999987,
    0.5356,
    0.30850000000000005,
    0.3123000000000001,
    0.49729999999999996,
    0.44859999999999994,
    0.5564999999999999,
    0.3977999999999999,
    0.5866999999999999,
    0.5047,
    0.5753,
    0.5912,
    0.6520000000000001,
    0.361,
    0.5872,
    0.5283,
    0.47340000000000004,
    0.4842999999999999,
    0.3081000000000001,
    0.576,
    0.49800000000000005,
    0.35030000000000006,
    0.3355,
    0.306,
    0.5430999999999998,
    0.5486999999999999,
    0.32239999999999985,
    0.5216999999999999,
    0.4988000000000001,
    0.33569999999999994,
    0.4981,
    0.5299,
    0.48359999999999986,
    0.5020999999999999,
    0.47210000000000013,
    0.4996,
    0.27780000000000005,
    0.25970000000000004,
    0.5200999999999999,
    0.46950000000000003,
    0.3021999999999998,
    0.2581,
    0.4614000000000001,
    0.4497,
    0.5550999999999998,
    0.36690000000000006,
    0.5540999999999998,
    0.6209,
    0.5988999999999998,
    0.6026,
    0.5726999999999997,
    0.5420999999999999,
    0.33370000000000005,
    0.27159999999999995,
    0.43090000000000006,
    0.49349999999999994,
    0.48560000000000003,
    0.6036999999999997,
    0.5292000000000001,
    0.5633999999999999,
    0.5300999999999999,
    0.5169,
    0.3607000000000001,
    0.2898000000000001,
    0.536,
    0.5390000000000003,
    0.45540000000000014,
    0.479,
    0.32010000000000005,
    0.4926,
    0.4835,
    0.3132,
    0.5670000000000002,
    0.5251,
    0.31969999999999993,
    0.2659,
    0.27599999999999997,
    0.2535,
    0.5075000000000001,
    0.5292,
    0.5735999999999999,
    0.3793000000000001,
    0.5357000000000001,
    0.5471,
    0.3781999999999999,
    0.5594999999999998,
    0.49599999999999994,
    0.44510000000000016,
    0.4614,
    0.4192000000000001,
    0.3127,
    0.2851,
    0.2730999999999999,
    0.5158999999999998,
    0.5068000000000001,
    0.37350000000000005,
    0.3485,
    0.5622999999999998,
    0.5104,
    0.4857,
    0.5265000000000002,
    0.2942000000000001,
    0.27270000000000005,
    0.3475000000000001,
    0.5331999999999999,
    0.3103999999999999,
    0.5323999999999999,
    0.5312000000000002,
    0.33299999999999996,
    0.491,
    0.5117999999999999,
    0.47160000000000013,
    0.3391000000000001,
    0.4432,
    0.26339999999999997,
    0.5827,
    0.5616000000000001,
    0.35980000000000006,
    0.5742999999999998,
    0.5691999999999999,
    0.5564000000000002,
    0.33310000000000006,
    0.3724,
    0.3550999999999999,
    0.5485999999999999,
    0.4816,
    0.28639999999999993,
    0.4723000000000001,
    0.29579999999999995,
    0.5769,
    0.3456,
    0.5179,
    0.38200000000000006,
    0.354,
    0.5572999999999998,
    0.3415000000000001,
    0.5566000000000002,
    0.3909999999999999,
    0.5917999999999998,
    0.6508000000000002,
    0.5798,
    0.34739999999999993,
    0.4927,
    0.3535,
    0.3196000000000001,
    0.4430000000000001,
    0.24670000000000006,
    0.32770000000000005,
    0.34030000000000016,
    0.5463,
    0.5358999999999997,
    0.3127000000000001,
    0.5385000000000001,
    0.35030000000000006,
    0.5291000000000002,
    0.5338999999999999,
    0.5421999999999999,
    0.36640000000000006,
    0.4774,
    0.28369999999999995,
    0.5346,
    0.5329999999999999,
    0.5232,
    0.5948999999999999,
    0.5962999999999998,
    0.5408000000000001,
    0.46099999999999997,
    0.5408,
    0.3125999999999999,
    0.5303,
    0.5844,
    0.5313999999999999,
    0.5598000000000001,
    0.5751000000000002,
    0.3989,
    0.5791999999999997,
    0.5291000000000001,
    0.2810000000000002,
    0.24419999999999997,
    0.5615,
    0.5458000000000001,
    0.5319999999999998,
    0.5337999999999999,
    0.5457000000000001,
    0.5016999999999999,
    0.5483,
    0.5219000000000003,
    0.46119999999999983,
    0.5143000000000001,
    0.48219999999999974,
    0.4569,
    0.2164,
    0.5414000000000001,
    0.48430000000000006,
    0.42019999999999996,
    0.47259999999999996,
    0.6325,
    0.33020000000000005,
    0.3362,
    0.31820000000000004,
    0.5789,
    0.3292000000000001,
    0.24089999999999998,
    0.47229999999999994,
    0.314,
    0.2522999999999999,
    0.48320000000000013,
    0.46509999999999996,
    0.49000000000000016,
    0.27990000000000026,
    0.4987000000000001,
    0.33549999999999996,
    0.2969,
    0.3342,
    0.3487000000000001,
    0.5002000000000002,
    0.5371999999999999,
    0.3848000000000001,
    0.6176999999999999,
    0.5478999999999998,
    0.5216999999999999,
    0.5627999999999997,
    0.5354000000000001,
    0.5823000000000002,
    0.30840000000000006,
    0.49939999999999984,
    0.5398000000000001,
    0.5344999999999999,
    0.6217000000000001,
    0.41029999999999983,
    0.49540000000000006,
    0.32010000000000005,
    0.547,
    0.5923000000000002,
    0.39160000000000006,
    0.6226999999999999,
    0.6435000000000001,
    0.5893000000000002,
    0.5336,
    0.5698000000000002,
    0.4953999999999999,
    0.2997000000000001,
    0.5761,
    0.33169999999999994,
    0.4832,
    0.5482000000000002,
    0.3574999999999999,
    0.3353,
    0.6014999999999998,
    0.6130000000000002,
    0.6137000000000002,
    0.3868000000000001,
    0.40190000000000015,
    0.5990000000000003,
    0.4878,
    0.30229999999999996,
    0.5387,
    0.29440000000000005,
    0.45919999999999994,
    0.2578,
    0.31970000000000004,
    0.5023000000000002,
    0.36019999999999996,
    0.36290000000000017,
    0.3302,
    0.5507000000000001,
    0.6150000000000002,
    0.6063000000000001,
    0.39070000000000016,
    0.6276999999999999,
    0.6198000000000001,
    0.6447,
    0.43140000000000006,
    0.41919999999999996,
    0.6080999999999999,
    0.6510000000000002,
    0.3893999999999999,
    0.3590000000000001,
    0.6207000000000003,
    0.42129999999999984,
    0.41470000000000007,
    0.5529,
    0.7204000000000002,
    0.6769999999999999,
    0.5930000000000002,
    0.6746000000000001,
    0.6295000000000002,
    0.5714999999999999,
    0.5368999999999999,
    0.6086000000000003,
    0.5881999999999998,
    0.5511999999999999,
    0.5146000000000001,
    0.2954,
    0.3123999999999999,
    0.4734999999999999,
    0.3472999999999999,
    0.5389,
    0.6338000000000003,
    0.4028,
    0.6081999999999999,
    0.43519999999999986,
    0.38,
    0.6647,
    0.6161,
    0.6045999999999997,
    0.6686000000000001,
    0.6482,
    0.3561999999999999,
    0.41580000000000017,
    0.656,
    0.6329999999999999,
    0.30579999999999996,
    0.39300000000000007,
    0.5888999999999999,
    0.5489000000000002,
    0.33390000000000014,
    0.6038000000000001,
    0.2978,
    0.372,
    0.3588,
    0.33819999999999995,
    0.4989,
    0.5801999999999999,
    0.48440000000000005,
    0.269,
    0.5273000000000002,
    0.5849000000000001,
    0.5992999999999999,
    0.37279999999999996,
    0.6211999999999999,
    0.6853000000000001,
    0.6631999999999999,
    0.5706000000000001,
    0.6683,
    0.6831000000000003,
    0.44170000000000004,
    0.6132,
    0.6329999999999998,
    0.6709000000000003,
    0.3663999999999999,
    0.3235,
    0.6305999999999998,
    0.5522000000000002,
    0.5057000000000001,
    0.3363,
    0.6125000000000003,
    0.39380000000000004,
    0.5811,
    0.5493999999999998,
    0.3422999999999999,
    0.6392000000000001,
    0.5632,
    0.5720999999999997,
    0.5468000000000001,
    0.3699,
    0.5781000000000002,
    0.5441999999999999,
    0.36550000000000005,
    0.5392999999999999,
    0.27540000000000003,
    0.32119999999999993,
    0.34440000000000015,
    0.33780000000000016,
    0.3288,
    0.3452000000000001,
    0.36479999999999996,
    0.34650000000000003,
    0.3067000000000001,
    0.5680000000000001,
    0.2886,
    0.5447999999999998,
    0.6001999999999998,
    0.27879999999999994,
    0.3133000000000001,
    0.5837,
    0.5172999999999999,
    0.5140999999999999,
    0.5606000000000001,
    0.6421,
    0.6130000000000001,
    0.3949000000000001,
    0.6246999999999999,
    0.6321000000000001,
    0.4484000000000001,
    0.5945,
    0.5564,
    0.7151,
    0.6129999999999998,
    0.6292,
    0.6760000000000002,
    0.7378000000000001,
    0.3974000000000002,
    0.6487999999999999,
    0.7645000000000001,
    0.5986000000000001,
    0.6331000000000001,
    0.7207999999999998,
    0.7280000000000001,
    0.7029999999999998,
    0.7216,
    0.6585,
    0.4394999999999999,
    0.4860000000000001,
    0.6509999999999998,
    0.5798,
    0.6403000000000002,
    0.7142999999999998,
    0.4223999999999999,
    0.6772000000000001,
    0.7414000000000002,
    0.4636,
    0.6456999999999999,
    0.6737999999999998,
    0.7378000000000002,
    0.6322999999999998,
    0.43450000000000005,
    0.43890000000000023,
    0.6827000000000001,
    0.6750999999999999,
    0.6067000000000001,
    0.40930000000000005,
    0.6253999999999998,
    0.6144000000000002,
    0.5714999999999999,
    0.3713000000000001,
    0.6136000000000004,
    0.5561999999999999,
    0.37700000000000006,
    0.36079999999999995,
    0.5498000000000002,
    0.3685999999999999,
    0.5368,
    0.28930000000000006,
    0.5468999999999999,
    0.5366,
    0.5328000000000002,
    0.36519999999999997,
    0.3633000000000001,
    0.5906999999999998,
    0.5168,
    0.5553999999999999,
    0.2912,
    0.6136999999999999,
    0.5127999999999999,
    0.3211999999999999,
    0.563,
    0.5512,
    0.4963999999999999,
    0.2905999999999999,
    0.28930000000000017,
    0.34890000000000004,
    0.5309999999999999,
    0.5978999999999998,
    0.5798999999999999,
    0.6072,
    0.5959000000000001,
    0.6152999999999998,
    0.33329999999999993,
    0.41180000000000017,
    0.6482000000000002,
    0.6496999999999996,
    0.5454000000000003,
    0.6079999999999999,
    0.65,
    0.3452999999999999,
    0.5641999999999999,
    0.6072000000000003,
    0.5257000000000002,
    0.6067,
    0.6088000000000001,
    0.6009,
    0.34509999999999996,
    0.5171000000000001,
    0.6417000000000002,
    0.5875999999999999,
    0.3871,
    0.36079999999999995,
    0.5123999999999999,
    0.5111,
    0.5087999999999998,
    0.5336999999999998,
    0.4874,
    0.3487000000000001,
    0.6140999999999999,
    0.3859000000000001,
    0.2832000000000002,
    0.6514000000000003,
    0.3856000000000001,
    0.3752000000000001,
    0.47730000000000006,
    0.5664,
    0.3155,
    0.5555999999999999,
    0.33760000000000007,
    0.5780999999999998,
    0.3062999999999999,
    0.5308999999999998,
    0.5930000000000001,
    0.501,
    0.6056999999999998,
    0.37910000000000005,
    0.3492000000000002,
    0.5606000000000001,
    0.5403000000000001,
    0.6524000000000001,
    0.567,
    0.6491,
    0.6670000000000003,
    0.6381999999999999,
    0.5639000000000003,
    0.6332000000000001,
    0.6427999999999999,
    0.4189,
    0.4292,
    0.6564999999999999,
    0.6581,
    0.32899999999999996,
    0.31489999999999985,
    0.6520999999999998,
    0.5345000000000001,
    0.4912000000000001,
    0.5535,
    0.593,
    0.5867,
    0.6090999999999999,
    0.6321999999999998,
    0.38419999999999993,
    0.6730999999999999,
    0.6646000000000001,
    0.404,
    0.3724000000000001,
    0.6537000000000003,
    0.6672000000000001,
    0.3555000000000001,
    0.5742000000000002,
    0.5418,
    0.4650000000000001,
    0.5513000000000002,
    0.3775,
    0.31340000000000007,
    0.35329999999999995,
    0.3624999999999999,
    0.2841999999999999,
    0.5705999999999999,
    0.6212,
    0.36099999999999993,
    0.5205,
    0.6115999999999999,
    0.6013000000000001,
    0.5414999999999999,
    0.5920000000000001,
    0.6342,
    0.34520000000000006,
    0.3579000000000002,
    0.5829000000000001,
    0.5311999999999997,
    0.3332,
    0.5468000000000002,
    0.5689,
    0.5645999999999997,
    0.48350000000000004,
    0.5672999999999998,
    0.6015,
    0.31390000000000007,
    0.3556000000000001,
    0.6431,
    0.6892,
    0.6413,
    0.6248999999999999,
    0.6705999999999998,
    0.6209,
    0.42610000000000015,
    0.6465,
    0.5934,
    0.6002999999999998,
    0.399,
    0.26710000000000006,
    0.3347000000000001,
    0.549,
    0.4843999999999998,
    0.32380000000000025,
    0.5426000000000001,
    0.5326000000000001,
    0.5592999999999999,
    0.4973,
    0.5819999999999999,
    0.6018999999999999,
    0.6056000000000001,
    0.6388999999999998,
    0.624,
    0.6348999999999997,
    0.6454,
    0.5910999999999997,
    0.6548999999999999,
    0.64,
    0.6041000000000001,
    0.36460000000000004,
    0.6636999999999998,
    0.5358999999999999,
    0.3035,
    0.5460000000000002,
    0.5226999999999999,
    0.30780000000000013,
    0.5366999999999996,
    0.5774,
    0.36879999999999996,
    0.5241000000000002,
    0.5958999999999998,
    0.38110000000000005,
    0.31330000000000013,
    0.6038999999999999,
    0.526,
    0.36119999999999997,
    0.5925,
    0.6066999999999998,
    0.5787,
    0.6736999999999997,
    0.6001000000000003,
    0.37370000000000003,
    0.6359999999999999,
    0.6623000000000001,
    0.6173000000000001,
    0.6335,
    0.33370000000000016,
    0.41530000000000017,
    0.5678,
    0.5125000000000003,
    0.38180000000000003,
    0.6007000000000002,
    0.41609999999999997,
    0.5894000000000001,
    0.37470000000000003,
    0.6155999999999999,
    0.3795,
    0.33390000000000014,
    0.63,
    0.5156999999999999,
    0.5558000000000002,
    0.6069,
    0.3497,
    0.5872,
    0.5885999999999997,
    0.2838,
    0.48519999999999996,
    0.38150000000000006,
    0.5597000000000002,
    0.36150000000000004,
    0.5497999999999996,
    0.36619999999999997,
    0.5781000000000001,
    0.5,
    0.5934000000000001,
    0.6135000000000004,
    0.3595999999999998,
    0.3372,
    0.48599999999999993,
    0.5139999999999998,
    0.4534000000000001,
    0.3021000000000001,
    0.47939999999999994,
    0.32980000000000004,
    0.5687000000000001,
    0.32289999999999996,
    0.3143,
    0.4603999999999999,
    0.4598,
    0.4991000000000002,
    0.4812,
    0.4301,
    0.4799000000000001,
    0.4707,
    0.48310000000000003,
    0.49200000000000005,
    0.5002,
    0.5097,
    0.5281,
    0.3287,
    0.5626,
    0.5215,
    0.47390000000000015,
    0.5281000000000001,
    0.4674000000000001,
    0.2918,
    0.5193000000000001,
    0.4952,
    0.2583000000000001,
    0.24639999999999992,
    0.5124999999999998,
    0.5457999999999998,
    0.5198999999999998,
    0.5024000000000001,
    0.28240000000000004,
    0.5196000000000002,
    0.5168999999999999,
    0.48510000000000014,
    0.27420000000000005,
    0.5248999999999998,
    0.29259999999999997,
    0.5668999999999998,
    0.5219000000000001,
    0.27229999999999993,
    0.33280000000000004,
    0.35429999999999984,
    0.338,
    0.5147000000000002,
    0.5079999999999999,
    0.4914,
    0.34649999999999986,
    0.34029999999999994,
    0.27359999999999995,
    0.2860999999999999,
    0.30080000000000007,
    0.5333000000000002,
    0.5878000000000001,
    0.5462,
    0.2924,
    0.3804000000000001,
    0.6045,
    0.25290000000000007,
    0.48019999999999996,
    0.5490999999999999,
    0.3529,
    0.29729999999999995,
    0.26250000000000007,
    0.3641999999999999,
    0.2638000000000001,
    0.24920000000000006,
    0.5829,
    0.5863999999999998,
    0.5687999999999998,
    0.2895,
    0.5303,
    0.5739999999999996,
    0.5524999999999999,
    0.5872000000000002,
    0.2965999999999999,
    0.5338999999999999,
    0.30879999999999996,
    0.5159000000000002,
    0.44260000000000005,
    0.2696,
    0.24960000000000002,
    0.24269999999999997,
    0.4959999999999998,
    0.5374999999999999,
    0.26110000000000005,
    0.5013,
    0.2727000000000001,
    0.5026,
    0.4833999999999999,
    0.5498499999999998,
    0.45375,
    0.51095,
    0.5081000000000001,
    0.28229999999999994,
    0.4724000000000001,
    0.4621,
    0.2595,
    0.4425,
    0.5235,
    0.4486,
    0.4983,
    0.28780000000000006,
    0.5324999999999999,
    0.29120000000000007,
    0.5404999999999999,
    0.5540999999999999,
    0.5953499999999998,
    0.49755,
    0.29825,
    0.33705000000000007,
    0.49735,
    0.2618500000000001,
    0.5088499999999998
  ],
  "ppII": [
    0.0767718255519867,
    0.09116154909133911,
    0.10244046151638031,
    0.11457513272762299,
    0.1338740438222885,
    0.1594657003879547,
    0.1684936285018921,
    0.1534147709608078,
    0.13271503150463104,
    0.12185394763946533,
    0.11180654168128967,
    0.108073890209198,
    0.10504578053951263,
    0.09873513877391815,
    0.08732715249061584,
    0.07753898203372955,
    0.0733983963727951,
    0.07467678189277649,
    0.07868340611457825,
    0.09807921946048737,
    0.12269029021263123,
    0.14573486894369125,
    0.14876987040042877,
    0.14081492274999619,
    0.13363941526040435,
    0.12970198364928365,
    0.1284026764333248,
    0.13082140358164907,
    0.11768254730850458,
    0.10553266433998942,
    0.10245730308815837,
    0.10529991891235113,
    0.11872815992683172,
    0.1153688495978713,
    0.1182218655012548,
    0.10989582585170865,
    0.10485304240137339,
    0.0990980532951653,
    0.09729676740244031,
    0.09758947789669037,
    0.10200937977060676,
    0.09335814090445638,
    0.0807118033990264,
    0.06828112527728081,
    0.06195489224046469,
    0.055334101896733046,
    0.05495151458308101,
    0.05083545157685876,
    0.052946168929338455,
    0.0527205397374928,
    0.052586250472813845,
    0.051607954781502485,
    0.05763123324140906,
    0.05945778265595436,
    0.0648026904091239,
    0.0753854070790112,
    0.07689864514395595,
    0.07077966257929802,
    0.05127404211089015,
    0.04302420327439904,
    0.03739817347377539,
    0.032731499057263136,
    0.023658466059714556,
    0.03525926964357495,
    0.057030612137168646,
    0.06889583030715585,
    0.0630481974221766,
    0.07269591884687543,
    0.096399602945894,
    0.12762657180428505,
    0.12675844924524426,
    0.10217081056907773,
    0.07778742583468556,
    0.06001155450940132,
    0.06284658284857869,
    0.07977414457127452,
    0.09567032428458333,
    0.10575726628303528,
    0.09836135478690267,
    0.09501430485397577,
    0.08772651432082057,
    0.07786602666601539,
    0.061127017717808485,
    0.048116147983819246,
    0.027836418710649014,
    0.022096870001405478,
    0.026067253667861223,
    0.041209130082279444,
    0.055713065434247255,
    0.06148728495463729,
    0.05070802150294185,
    0.04014645563438535,
    0.043965460266917944,
    0.04330791858956218,
    0.056269030552357435,
    0.06676846044138074,
    0.08007461624220014,
    0.10142737859860063,
    0.12143904343247414,
    0.11614616634324193,
    0.09894388588145375,
    0.07965734181925654,
    0.05319091072306037,
    0.03245819453150034,
    0.028209999669343233,
    0.02847142843529582,
    0.03468002891167998,
    0.046567673329263926,
    0.06282638665288687,
    0.08167153364047408,
    0.09974653786048293,
    0.1129639339633286,
    0.12790332967415452,
    0.13928520260378718,
    0.12693655397742987,
    0.10715165501460433,
    0.09303449699655175,
    0.09481581719592214,
    0.10468284087255597,
    0.09605100424960256,
    0.08496151771396399,
    0.07170504750683904,
    0.06624168204143643,
    0.066460523288697,
    0.05786936776712537,
    0.05272176954895258,
    0.05304288771003485,
    0.04578789230436087,
    0.04328955849632621,
    0.04860198171809316,
    0.05538774700835347,
    0.05848642345517874,
    0.06472812639549375,
    0.0668526696972549,
    0.0783165511675179,
    0.09039469482377172,
    0.1044793063774705,
    0.1275419476442039,
    0.13793182419613004,
    0.15020393952727318,
    0.15349581092596054,
    0.15622927900403738,
    0.15341079561039805,
    0.14796122955158353,
    0.13813574286177754,
    0.12909303093329072,
    0.1221131389029324,
    0.10901483381167054,
    0.09041105629876256,
    0.07937389519065619,
    0.07127024000510573,
    0.07277482142671943,
    0.0890926499851048,
    0.10665012942627072,
    0.10743412282317877,
    0.09389978554099798,
    0.07102882023900747,
    0.06235253578051925,
    0.05492008989676833,
    0.04407452838495374,
    0.03824809845536947,
    0.03922849474474788,
    0.033792251255363226,
    0.031191487330943346,
    0.037839609663933516,
    0.047326038125902414,
    0.0492890658788383,
    0.05609529698267579,
    0.05933191115036607,
    0.05193455843254924,
    0.04370905552059412,
    0.0420473157428205,
    0.043123275972902775,
    0.04947947058826685,
    0.04819848807528615,
    0.04722424643114209,
    0.04254806088283658,
    0.04901897581294179,
    0.051444950979202986,
    0.06514039728790522,
    0.0439142775721848,
    0.026500087697058916,
    0.02038840251043439,
    0.017298910301178694,
    0.02355090668424964,
    0.03395990701392293,
    0.042467322666198015,
    0.052715756464749575,
    0.04752635629847646,
    0.05119423242285848,
    0.0616516238078475,
    0.07721075834706426,
    0.08664508070796728,
    0.08052293350920081,
    0.08056663302704692,
    0.08258841186761856,
    0.07756730960682034,
    0.05911849020048976,
    0.05449466034770012,
    0.04720121528953314,
    0.04627507319673896,
    0.0520107364282012,
    0.05597682064399123,
    0.06163866398856044,
    0.0563264493830502,
    0.05532850697636604,
    0.06334784300997853,
    0.0884382389485836,
    0.1061000800691545,
    0.11300588771700859,
    0.10944781871512532,
    0.10861463425680995,
    0.0927544622682035,
    0.06402555434033275,
    0.055958309676498175,
    0.04737223358824849,
    0.04709732113406062,
    0.053356241434812546,
    0.05464804079383612,
    0.05065905721858144,
    0.04664788721129298,
    0.039344492834061384,
    0.02885326649993658,
    0.01435639476403594,
    0.008350383024662733,
    0.011298572178930044,
    0.025087899528443813,
    0.04344198200851679,
    0.060742971021682024,
    0.07263798266649246,
    0.07373693073168397,
    0.07585558714345098,
    0.07341763703152537,
    0.0769360396079719,
    0.07940838159993291,
    0.08775686519220471,
    0.10353943286463618,
    0.125143401324749,
    0.14373302087187767,
    0.1571307247504592,
    0.1688395352102816,
    0.18361744051799178,
    0.18435013899579644,
    0.18194795493036509,
    0.15387958055362105,
    0.13347519794479012,
    0.12369538750499487,
    0.10651099681854248,
    0.08402163395658135,
    0.0689848787151277,
    0.06901412876322865,
    0.0623070546425879,
    0.05613344814628363,
    0.042781572323292494,
    0.03139709262177348,
    0.03108594985678792,
    0.03595483535900712,
    0.05005681561306119,
    0.05645033344626427,
    0.06703518843278289,
    0.08024754747748375,
    0.09868063079193234,
    0.11769363610073924,
    0.112371273804456,
    0.10993732558563352,
    0.11354252276942134,
    0.11092642741277814,
    0.09203657833859324,
    0.07116012601181865,
    0.06147197773680091,
    0.05888893688097596,
    0.06628407584503293,
    0.07948905369266868,
    0.11017163516953588,
    0.13929754635319114,
    0.14442960591986775,
    0.13275018706917763,
    0.09658684581518173,
    0.0653383806347847,
    0.05707759829238057,
    0.07219341536983848,
    0.08851434895768762,
    0.10221853526309133,
    0.10578393982723355,
    0.10955154383555055,
    0.1011512684635818,
    0.09948744205757976,
    0.10278225829824805,
    0.0870815054513514,
    0.09083079593256116,
    0.1025817352347076,
    0.10602485155686736,
    0.10361505346372724,
    0.10382696473971009,
    0.10534397885203362,
    0.10667511448264122,
    0.1030745324678719,
    0.08531198231503367,
    0.078264853451401,
    0.07041090307757258,
    0.07254184363409877,
    0.07175415521487594,
    0.07483836682513356,
    0.08654402988031507,
    0.09231827268376946,
    0.10030418029055,
    0.10621489165350795,
    0.10670287581160665,
    0.0938440547324717,
    0.08320906339213252,
    0.0781515478156507,
    0.08286849269643426,
    0.06478873640298843,
    0.05285271676257253,
    0.037022959906607866,
    0.02278463216498494,
    0.01364183472469449,
    0.013146430719643831,
    0.011401361785829067,
    0.011716501321643591,
    0.023186694364994764,
    0.038929815869778395,
    0.04460572591051459,
    0.046407680958509445,
    0.0466883503831923,
    0.049207260366529226,
    0.05372199835255742,
    0.057904585264623165,
    0.061488690320402384,
    0.06478119688108563,
    0.0673718093894422,
    0.07345819799229503,
    0.06679091742262244,
    0.05901537602767348,
    0.04562888713553548,
    0.029119800310581923,
    0.010186410043388605,
    -0.002177567221224308,
    -0.0040126764215528965,
    0.006123342085629702,
    0.019955489318817854,
    0.041719197295606136,
    0.07100243540480733,
    0.1046604928560555,
    0.11691049532964826,
    0.11679121432825923,
    0.1051519219763577,
    0.09994913544505835,
    0.09457058133557439,
    0.07792501663789153,
    0.07211735751479864,
    0.06906672054901719,
    0.06505820946767926,
    0.05878116935491562,
    0.0703686592169106,
    0.094414830673486,
    0.11215572711080313,
    0.11508138151839375,
    0.10499209072440863,
    0.08503840118646622,
    0.07010005181655288,
    0.05494409194216132,
    0.04925109352916479,
    0.05272762384265661,
    0.053560849744826555,
    0.06949537666514516,
    0.08747313776984811,
    0.10660652397200465,
    0.1154824779368937,
    0.12302085803821683,
    0.13395217852666974,
    0.11826178524643183,
    0.11193098919466138,
    0.11555796768516302,
    0.1285097454674542,
    0.11887868354097009,
    0.09976239642128348,
    0.09088782221078873,
    0.09341237368062139,
    0.09086497453972697,
    0.09412338817492127,
    0.11183668999001384,
    0.1237581898458302,
    0.12548571126535535,
    0.12700182106345892,
    0.1077844649553299,
    0.09485997911542654,
    0.08363880636170506,
    0.07713369699195027,
    0.08962551737204194,
    0.09406031295657158,
    0.1092697768472135,
    0.10313359973952174,
    0.10223426250740886,
    0.08447345672175288,
    0.0683167246170342,
    0.050396441482007504,
    0.046640189830213785,
    0.033150598872452974,
    0.017601075116544962,
    0.009330720640718937,
    0.0052635157480835915,
    0.01461642887443304,
    0.0279487450607121,
    0.02818970289081335,
    0.024425589479506016,
    0.033221632707864046,
    0.04203864233568311,
    0.04883219627663493,
    0.06698788795620203,
    0.07346213655546308,
    0.07914102962240577,
    0.08387041231617332,
    0.0791530660353601,
    0.07360922591760755,
    0.06081214873120189,
    0.04545238660648465,
    0.04138701502233744,
    0.03679927857592702,
    0.027200221084058285,
    0.02360335737466812,
    0.015693590976297855,
    0.005550371017307043,
    0.00560004310682416,
    0.021182185970246792,
    0.030759741086512804,
    0.032963933888822794,
    0.035750914830714464,
    0.04360065469518304,
    0.06119167571887374,
    0.06228048400953412,
    0.06354097789153457,
    0.062298846896737814,
    0.06831860868260264,
    0.07388460775837302,
    0.07476572366431355,
    0.08147306321188807,
    0.09866689471527934,
    0.10872928937897086,
    0.09814261551946402,
    0.10414645727723837,
    0.09745856607332826,
    0.09079074487090111,
    0.07922577252611518,
    0.07585643278434873,
    0.08312368812039495,
    0.08135115774348378,
    0.08687969343736768,
    0.09800382563844323,
    0.09428877755999565,
    0.09511035354807973,
    0.08807452023029327,
    0.089672249276191,
    0.07536408631131053,
    0.05911197932437062,
    0.04217339679598808,
    0.03808075236156583,
    0.0355300372466445,
    0.03395050344988704,
    0.03864320693537593,
    0.038321498315781355,
    0.03802277287468314,
    0.034734576009213924,
    0.02344836201518774,
    0.02048008982092142,
    0.014097415842115879,
    0.014084086287766695,
    0.0203409306704998,
    0.026071743108332157,
    0.03662692382931709,
    0.04038038896396756,
    0.04365369351580739,
    0.048702146392315626,
    0.05211348878219724,
    0.05748976534232497,
    0.05761462124064565,
    0.06323233572766185,
    0.07441499456763268,
    0.07283100252971053,
    0.0569593389518559,
    0.04039404587820172,
    0.030189227778464556,
    0.031001706141978502,
    0.042072847951203585,
    0.039114569779485464,
    0.035377155523747206,
    0.02298178570345044,
    0.02231614338234067,
    0.024717388208955526,
    0.028996941167861223,
    0.03178709140047431,
    0.02986362623050809,
    0.034983641002327204,
    0.0380638656206429,
    0.03148237382993102,
    0.030804240610450506,
    0.032100229524075985,
    0.038949679117649794,
    0.04626027634367347,
    0.0462425104342401,
    0.037202978041023016,
    0.029071865137666464,
    0.023821632843464613,
    0.02643657522276044,
    0.02674077032133937,
    0.015511434990912676,
    0.0046316348016262054,
    0.002951961476355791,
    -0.0025482368655502796,
    -0.0008474225178360939,
    -0.002121735829859972,
    0.0037368801422417164,
    0.008523731026798487,
    0.011093236971646547,
    0.011400139424949884,
    0.006782976444810629,
    0.02260137489065528,
    0.03795286035165191,
    0.04601702746003866,
    0.060219105798751116,
    0.07180717634037137,
    0.08149456745013595,
    0.0862517119385302,
    0.07266147015616298,
    0.06626878725364804,
    0.06401236029341817,
    0.06445547845214605,
    0.07866292493417859,
    0.08080487558618188,
    0.0715745878405869,
    0.06086791446432471,
    0.05739680025726557,
    0.07243870431557298,
    0.09156076982617378,
    0.080756691750139,
    0.06548299035057425,
    0.054618663154542446,
    0.05817676708102226,
    0.0696185645647347,
    0.08504299074411392,
    0.08180471369996667,
    0.07324468763545156,
    0.0602164757438004,
    0.06250850530341268,
    0.06588786141946912,
    0.05467290012165904,
    0.04595515225082636,
    0.03956082882359624,
    0.03081487910822034,
    0.015469655394554138,
    0.006864082533866167,
    0.00708485534414649,
    0.002571600954979658,
    0.009397500660270452,
    0.01939686806872487,
    0.02419181214645505,
    0.033259306102991104,
    0.029892768245190382,
    0.041054514702409506,
    0.04283958347514272,
    0.03825515601783991,
    0.037816766649484634,
    0.03813590249046683,
    0.037197116296738386,
    0.039266498293727636,
    0.027453087735921144,
    0.023500622250139713,
    0.025888352654874325,
    0.030707709956914186,
    0.04029655875638127,
    0.04906167509034276,
    0.047721773851662874,
    0.05713222315534949,
    0.0623694215901196,
    0.06583633506670594,
    0.07949536433443427,
    0.0771789108403027,
    0.07526127621531487,
    0.08550264360383153,
    0.1084499298594892,
    0.11693886527791619,
    0.10577550949528813,
    0.0882822428829968,
    0.067732117138803,
    0.050990786869078875,
    0.047799835447221994,
    0.05559976398944855,
    0.06766983028501272,
    0.06809662422165275,
    0.06446410389617085,
    0.06426153564825654,
    0.04714339226484299,
    0.03906123712658882,
    0.03108966490253806,
    0.03244921891018748,
    0.03170141996815801,
    0.028228469658643007,
    0.040108317974954844,
    0.05778075801208615,
    0.07797950552776456,
    0.10314822103828192,
    0.1180548807606101,
    0.12804702809080482,
    0.12398885982111096,
    0.1208859640173614,
    0.0971306823194027,
    0.07253406243398786,
    0.06706332648172975,
    0.06438853591680527,
    0.07218569936230779,
    0.08439842239022255,
    0.08983296249061823,
    0.09392792638391256,
    0.0988960824906826,
    0.10374254081398249,
    0.11592239560559392,
    0.12272989144548774,
    0.11469377623870969,
    0.10484369890764356,
    0.08734450861811638,
    0.08100796910002828,
    0.07310080202296376,
    0.07088535651564598,
    0.07378415064886212,
    0.07010247884318233,
    0.06563144503161311,
    0.06628652988001704,
    0.07263714214786887,
    0.07542427210137248,
    0.07736195297911763,
    0.081364203710109,
    0.08520247042179108,
    0.0889008385129273,
    0.0896388259716332,
    0.08290076348930597,
    0.08763339417055249,
    0.07606839435175061,
    0.07429785327985883,
    0.07571388455107808,
    0.07942739268764853,
    0.07537903962656856,
    0.07324670488014817,
    0.06891065696254373,
    0.07102853944525123,
    0.08144753845408559,
    0.07509888941422105,
    0.05392667045816779,
    0.04102930100634694,
    0.04262150498107076,
    0.04409582260996103,
    0.043239432852715254,
    0.039957047905772924,
    0.06270180968567729,
    0.0910152941942215,
    0.1118613132275641,
    0.11225282400846481,
    0.09376560943201184,
    0.08700422290712595,
    0.09558947803452611,
    0.11655250238254666,
    0.10996282007545233,
    0.09325728937983513,
    0.08774440782144666,
    0.08521233638748527,
    0.08669758168980479,
    0.09248421201482415,
    0.09617046779021621,
    0.08953545754775405,
    0.09029284166172147,
    0.087791848462075,
    0.0945842326618731,
    0.10044144233688712,
    0.09746552631258965,
    0.09091385826468468,
    0.07139247236773372,
    0.05104810744524002,
    0.030772759579122066,
    0.023714920971542597,
    0.02542250184342265,
    0.027557681780308485,
    0.04207508033141494,
    0.053814615588635206,
    0.06640431936830282,
    0.06346848933026195,
    0.06086691981181502,
    0.05988757638260722,
    0.060713754035532475,
    0.06275456538423896,
    0.07725350465625525,
    0.09082108782604337,
    0.09382795123383403,
    0.11521079065278172,
    0.1243534623645246,
    0.11151760909706354,
    0.0978039801120758,
    0.0777388415299356,
    0.04953982587903738,
    0.028065245132893324,
    0.0031547704711556435,
    -0.007603634148836136,
    -0.019104766193777323,
    -0.025007212068885565,
    -0.020964581053704023,
    -0.02214716700837016,
    -0.022839033044874668,
    -0.021193414460867643,
    -0.010139032732695341,
    -0.007807951886206865,
    -0.00814614025875926,
    -0.006004893686622381,
    -5.425373092293739e-05,
    0.0059341080486774445,
    0.009198263753205538,
    0.02682512579485774,
    0.03835502779111266,
    0.052139099687337875,
    0.07343869237229228,
    0.0959111861884594,
    0.11027485225349665,
    0.11550922272726893,
    0.10727509623393416,
    0.10042878100648522,
    0.10216760402545333,
    0.1001128270290792,
    0.10577417071908712,
    0.13021700317040086,
    0.15057555446401238,
    0.1660601608455181,
    0.15826783748343587,
    0.15394123550504446,
    0.1505788923241198,
    0.13411530992016196,
    0.11909600486978889,
    0.10217002686113119,
    0.08140345523133874,
    0.06882643466815352,
    0.06516367709264159,
    0.06546085188165307,
    0.07483536889776587,
    0.08408861514180899,
    0.09003431396558881,
    0.09145995089784265,
    0.09324912307783961,
    0.08651617495343089,
    0.0844950145110488,
    0.08611738355830312,
    0.09020088985562325,
    0.09623675793409348,
    0.10864341165870428,
    0.11857010750100017,
    0.10936920484527946,
    0.10006747720763087,
    0.09181202203035355,
    0.0838251719251275,
    0.08193570468574762,
    0.06568852951750159,
    0.05527134099975228,
    0.056683849077671766,
    0.05668853269889951,
    0.050657561514526606,
    0.05626094713807106,
    0.06438735546544194,
    0.07183703361079097,
    0.08095864998176694,
    0.08104187017306685,
    0.07992875669151545,
    0.08784414874389768,
    0.091255949344486,
    0.09271036880090833,
    0.1114120720885694,
    0.1182441976852715,
    0.1351232253946364,
    0.155244842171669,
    0.1625598925165832,
    0.1619685865007341,
    0.14680541306734085,
    0.14155142242088914,
    0.11716271843761206,
    0.10054020630195737,
    0.09770265640690923,
    0.09042222099378705,
    0.10591575130820274,
    0.11233848007395864,
    0.10117025906220078,
    0.09931665565818548,
    0.09761558519676328,
    0.09119620500132442,
    0.10206616716459394,
    0.10718500660732388,
    0.11127797095105052,
    0.11603784468024969,
    0.11165987001731992,
    0.10040059313178062,
    0.09379094233736396,
    0.08307025488466024,
    0.07212525932118297,
    0.06808191211894155,
    0.07505464134737849,
    0.07396682258695364,
    0.07031397661194205,
    0.08235698519274592,
    0.10506637813523412,
    0.10919642494991422,
    0.11825542990118265,
    0.12330384226515889,
    0.11251140618696809,
    0.10209854273125529,
    0.09230461483821273,
    0.10343750240281224,
    0.11515449592843652,
    0.10993267269805074,
    0.12123616458848119,
    0.13828331278637052,
    0.14200297323986888,
    0.13004260184243321,
    0.11816651606932282,
    0.10110405087471008,
    0.09017693344503641,
    0.09762343158945441,
    0.10702128103002906,
    0.12032966408878565,
    0.1381436251103878,
    0.12708847830072045,
    0.10920811677351594,
    0.09668598743155599,
    0.09233559248968959,
    0.09271866735070944,
    0.09946933528408408,
    0.09201088873669505,
    0.07965246960520744,
    0.07095486577600241,
    0.06918511772528291,
    0.06538303242996335,
    0.06915076728910208,
    0.06759007694199681,
    0.06809012638404965,
    0.08163900719955564,
    0.09356029657647014,
    0.09363733371719718,
    0.08078672038391232,
    0.07970247091725469,
    0.07856768043711782,
    0.08313288632780313,
    0.09577178535982966,
    0.10342864785343409,
    0.10981746343895793,
    0.11817191168665886,
    0.12856723507866263,
    0.13552368292585015,
    0.14017405780032277,
    0.1396980886347592,
    0.13341554393991828,
    0.12038102792575955,
    0.09949242370203137,
    0.07524413941428065,
    0.059728812891989946,
    0.055279616732150316,
    0.06360627012327313,
    0.06717106606811285,
    0.07020350405946374,
    0.07651712000370026,
    0.06986527470871806,
    0.06197778508067131,
    0.04960705013945699,
    0.04517892887815833,
    0.0486397510394454,
    0.05365527840331197,
    0.05612471280619502,
    0.06013790937140584,
    0.06341644516214728,
    0.06428390322253108,
    0.07501766132190824,
    0.08015292463824153,
    0.07740003941580653,
    0.06931380787864327,
    0.053712424356490374,
    0.046486328821629286,
    0.049936029594391584,
    0.03817444294691086,
    0.039819222409278154,
    0.04537491174414754,
    0.06215690867975354,
    0.08231363957747817,
    0.10635619284585118,
    0.1449950491078198,
    0.172827769536525,
    0.18056276021525264,
    0.1708012893795967,
    0.14461106481030583,
    0.12385692587122321,
    0.10242669191211462,
    0.08485182048752904,
    0.06932430854067206,
    0.06587012531235814,
    0.05663362378254533,
    0.06025360617786646,
    0.06075785215944052,
    0.05633377656340599,
    0.051565372850745916,
    0.052943441551178694,
    0.05634312378242612,
    0.05575393559411168,
    0.059442680794745684,
    0.07704616338014603,
    0.0975944516249001,
    0.11320600658655167,
    0.11905841110274196,
    0.12388303456827998,
    0.11393151758238673,
    0.08658330468460917,
    0.06044089375063777,
    0.042295272927731276,
    0.02748548286035657,
    0.029207181185483932,
    0.040740557480603456,
    0.05197257408872247,
    0.052832687739282846,
    0.058133700396865606,
    0.061297277454286814,
    0.06575909862294793,
    0.07453410374000669,
    0.08023427845910192,
    0.0819268305785954,
    0.0829858067445457,
    0.06765728862956166,
    0.05296878283843398,
    0.0492814932949841,
    0.04310507467016578,
    0.03185213031247258,
    0.01751716760918498,
    0.01272846246138215,
    0.007783761713653803,
    0.009921364951878786,
    0.016086484771221876,
    0.03048820700496435,
    0.03237855574116111,
    0.042617765720933676,
    0.05778938112780452,
    0.07221576618030667,
    0.07390649244189262,
    0.06309398915618658,
    0.06136922584846616,
    0.05438340874388814,
    0.050151771400123835,
    0.05125007824972272,
    0.060201774816960096,
    0.06437386246398091,
    0.06981038628146052,
    0.08628093125298619,
    0.10134228225797415,
    0.1238760738633573,
    0.11246493505313993,
    0.11107434425503016,
    0.09368462627753615,
    0.08034904720261693,
    0.07744611566886306,
    0.08196538360789418,
    0.0738562261685729,
    0.06856236094608903,
    0.0700404611416161,
    0.06502039637416601,
    0.05770727898925543,
    0.04203958949074149,
    0.024418245535343885,
    0.012651754077523947,
    0.012943607289344072,
    0.02827249513939023,
    0.05458852043375373,
    0.07256746804341674,
    0.08068471308797598,
    0.07756423577666283,
    0.08232100959867239,
    0.09385238075628877,
    0.09975594328716397,
    0.09469308285042644,
    0.07707069721072912,
    0.05852960096672177,
    0.05388692067936063,
    0.057656514924019575,
    0.058817542158067226,
    0.04946880089119077,
    0.03940951218828559,
    0.023866067174822092,
    0.0241972291842103,
    0.02893486013635993,
    0.045464803930372,
    0.06299012945964932,
    0.08163907378911972,
    0.09693277766928077,
    0.11225875467061996,
    0.1223610914312303,
    0.1133548584766686,
    0.09905675472691655,
    0.09603987960144877,
    0.10127333458513021,
    0.10317173274233937,
    0.0985179953277111,
    0.07851938530802727,
    0.06363300560042262,
    0.04757333593443036,
    0.03797497181221843,
    0.044350923504680395,
    0.045280781108886003,
    0.05361155793070793,
    0.05493398988619447,
    0.06442135665565729,
    0.06426336010918021,
    0.05607501557096839,
    0.05416060145944357,
    0.05290379701182246,
    0.041400160640478134,
    0.03600502433255315,
    0.03743666084483266,
    0.02465425105765462,
    0.016917202156037092,
    0.01113657746464014,
    0.012352403718978167,
    0.020224167965352535,
    0.012246104422956705,
    0.0030424646101891994,
    -0.00783829065039754,
    -0.009194110054522753,
    -0.0009930492378771305,
    -0.000983657781034708,
    -0.008602807763963938,
    -0.015143214259296656,
    -0.015065963845700026,
    -0.006786052603274584,
    -0.0005306447856128216,
    -0.005203483160585165,
    -0.009254104923456907,
    -0.015954808332026005,
    -0.0158831006847322,
    -0.014004938304424286,
    -0.008159834425896406,
    -0.003395435865968466,
    0.0016644978895783424,
    0.002536286134272814,
    0.0017835167236626148,
    0.00037691742181777954,
    0.0037550129927694798,
    0.007257454562932253,
    0.013838937040418386,
    0.025629658717662096,
    0.035086474381387234,
    0.023164398036897182,
    0.013133320957422256,
    0.009455185383558273,
    0.007693078834563494,
    -0.000977370422333479,
    0.0015727379359304905,
    0.008723041974008083,
    0.009843351785093546,
    0.0029157488606870174,
    0.009577534161508083,
    0.02283781534060836,
    0.023472507018595934,
    0.021670762915164232,
    0.03296224819496274,
    0.050888306461274624,
    0.06595207983627915,
    0.06233077496290207,
    0.050223910715430975,
    0.053487483877688646,
    0.052921049296855927,
    0.05453325482085347,
    0.05399472173303366,
    0.05378890270367265,
    0.033842159900814295,
    0.02876777248457074,
    0.029687998350709677,
    0.0339304618537426,
    0.03474332019686699,
    0.02795142913237214,
    0.02567960973829031,
    0.019738101866096258,
    0.019858690444380045,
    0.016576430760324,
    0.020927701611071825,
    0.01885975804179907,
    0.011454511899501085,
    0.018570598680526018,
    0.03591450536623597,
    0.04374492494389415,
    0.04431127989664674,
    0.03347854083403945,
    0.024342543445527554,
    0.020960249938070774,
    0.017035326454788446,
    0.02310831705108285,
    0.02446907525882125,
    0.020542184356600046,
    0.01902541099116206,
    0.017367654480040073,
    0.01426645228639245,
    0.016630792524665594,
    0.014936340507119894,
    0.018590328749269247,
    0.02342889318242669,
    0.028480276931077242,
    0.03188624093309045,
    0.028852312359958887,
    0.022510057780891657,
    0.017729651648551226,
    0.021024656016379595,
    0.03922353172674775,
    0.05657600471749902,
    0.05278296070173383,
    0.04576178127899766,
    0.03919921722263098,
    0.03919165441766381,
    0.03800974786281586,
    0.037688207346946,
    0.03350683348253369,
    0.0276276683434844,
    0.02238933974877,
    0.02227736171334982,
    0.03359819855540991,
    0.028544914443045855,
    0.025502793956547976,
    0.020544734317809343,
    0.01725043263286352,
    0.022424301598221064,
    0.026099367532879114,
    0.030311523471027613,
    0.031935665756464005,
    0.0328409350477159,
    0.04270375892519951,
    0.0462286570109427,
    0.05403742427006364,
    0.06291228113695979,
    0.06662345165386796,
    0.059983245097100735,
    0.066862971521914,
    0.06926856841892004,
    0.06786932703107595,
    0.06540086772292852,
    0.06606345530599356,
    0.05790779646486044,
    0.047330066561698914,
    0.04267537361010909,
    0.04297637799754739,
    0.03965276340022683,
    0.036665719002485275,
    0.04092893050983548,
    0.04907570406794548,
    0.061868126038461924,
    0.06482004234567285,
    0.06982362922281027,
    0.08139929408207536,
    0.08932157186791301,
    0.07544018933549523,
    0.06469452288001776,
    0.05837141629308462,
    0.05124635295942426,
    0.042504959274083376,
    0.04557960061356425,
    0.04437090363353491,
    0.04887361731380224,
    0.056022042874246836,
    0.05428727762773633,
    0.05024783546105027,
    0.057604177854955196,
    0.06915397522971034,
    0.0770966517738998,
    0.08901512995362282,
    0.09545109793543816,
    0.10575394751504064,
    0.11778708966448903,
    0.12655265117064118,
    0.12740427302196622,
    0.11740294983610511,
    0.11321495519950986,
    0.11143190320581198,
    0.0985085996799171,
    0.09054131945595145,
    0.0870282119140029,
    0.09962081024423242,
    0.11133044119924307,
    0.12963541829958558,
    0.14005742128938437,
    0.14670343091711402,
    0.13090743450447917,
    0.11851513246074319,
    0.11009046109393239,
    0.12579218624159694,
    0.14800109760835767,
    0.17403741413727403,
    0.18324278201907873,
    0.1838167724199593,
    0.180695123039186,
    0.17317551421001554,
    0.1649789302609861,
    0.1383163440041244,
    0.10936639783903956,
    0.08926966087892652,
    0.07216536765918136,
    0.07539753196761012,
    0.07232145639136434,
    0.06538338726386428,
    0.06561749847605824,
    0.06888950988650322,
    0.0646369862370193,
    0.06777796475216746,
    0.07221124228090048,
    0.06280622957274318,
    0.06442255573347211,
    0.06769454153254628,
    0.06447049276903272,
    0.07408447936177254,
    0.08845100784674287,
    0.0938834878616035,
    0.0915001486428082,
    0.09541228506714106,
    0.10058923391625285,
    0.10567054944112897,
    0.11231041280552745,
    0.1237011426128447,
    0.12432556645944715,
    0.11301059368997812,
    0.11452852236106992,
    0.11874587880447507,
    0.11688186367973685,
    0.10139139089733362,
    0.09836825402453542,
    0.0984521945938468,
    0.0972629077732563,
    0.10496154753491282,
    0.12935162195935845,
    0.1487915776669979,
    0.14915881352499127,
    0.13358520762994885,
    0.12692760722711682,
    0.12289800075814128,
    0.12108430312946439,
    0.12411388522014022,
    0.12023691460490227,
    0.1173902009613812,
    0.12255160557106137,
    0.12899660738185048,
    0.13779970910400152,
    0.15435827895998955,
    0.16100664483383298,
    0.14961477275937796,
    0.1298229550011456,
    0.10781733738258481,
    0.0974929635412991,
    0.09012713795527816,
    0.08389627281576395,
    0.08350804494693875,
    0.07886717887595296,
    0.07576539693400264,
    0.0909912814386189,
    0.11881356732919812,
    0.1448955866508186,
    0.15237459959462285,
    0.14218499837443233,
    0.12583818519487977,
    0.11068529123440385,
    0.09323195414617658,
    0.08878676500171423,
    0.07977732131257653,
    0.07226123893633485,
    0.0747040812857449,
    0.08173980051651597,
    0.09119470464065671,
    0.11101363180205226,
    0.12191805755719543,
    0.12051885668188334,
    0.11667683394625783,
    0.1022850968874991,
    0.09199760155752301,
    0.08431978616863489,
    0.07991678034886718,
    0.07305113645270467,
    0.06754122441634536,
    0.06916906591504812,
    0.06882739858701825,
    0.06462121661752462,
    0.06000380543991923,
    0.05245718266814947,
    0.05242584692314267,
    0.04989336850121617,
    0.041362613905221224,
    0.03219710383564234,
    0.023902189452201128,
    0.015508539974689484,
    0.02170852804556489,
    0.03257260797545314,
    0.03853585897013545,
    0.058959422167390585,
    0.07531808642670512,
    0.09107851888984442,
    0.10680650779977441,
    0.131068657618016,
    0.17361686285585165,
    0.20156224118545651,
    0.20360735105350614,
    0.1999405464157462,
    0.18774232920259237,
    0.1543374708853662,
    0.13762506749480963,
    0.13134185271337628,
    0.12140261055901647,
    0.11457859771326184,
    0.1129318424500525,
    0.10401532659307122,
    0.0926920510828495,
    0.0958728133700788,
    0.11328521417453885,
    0.1291077551431954,
    0.13852053182199597,
    0.14971658261492848,
    0.16632283898070455,
    0.1731347548775375,
    0.1835672534070909,
    0.19716700073331594,
    0.2128193904645741,
    0.22269275458529592,
    0.24227238027378917,
    0.24360986379906535,
    0.22567588463425636,
    0.19883356289938092,
    0.17933943448588252,
    0.17133957194164395,
    0.16511478321626782,
    0.15434275660663843,
    0.149737729690969,
    0.14644969906657934,
    0.12587473029270768,
    0.09407229768112302,
    0.08090526750311255,
    0.07430751668289304,
    0.07386356266215444,
    0.08010607725009322,
    0.08922382025048137,
    0.09249986009672284,
    0.09836155502125621,
    0.10358974011614919,
    0.11230547213926911,
    0.11967351334169507,
    0.11581986723467708,
    0.11043044831603765,
    0.10004799393936992,
    0.10180518170818686,
    0.10328352032229304,
    0.10783077869564295,
    0.1078791399486363,
    0.11308210389688611,
    0.11838212655857205,
    0.12939192401245236,
    0.13927158946171403,
    0.12989682285115123,
    0.1250822995789349,
    0.13141911895945668,
    0.14443596499040723,
    0.16298290016129613,
    0.16058505000546575,
    0.16327042924240232,
    0.15586345549672842,
    0.14929991262033582,
    0.15301037626340985,
    0.1637546424753964,
    0.17771426821127534,
    0.17912254063412547,
    0.1586739276535809,
    0.14543069479987025,
    0.13796687545254827,
    0.12771975295618176,
    0.12310730712488294,
    0.11689985310658813,
    0.11378003284335136,
    0.12008527712896466,
    0.12106818053871393,
    0.12552766548469663,
    0.12982066301628947,
    0.1292498568072915,
    0.1280195084400475,
    0.12813864136114717,
    0.12938489904627204,
    0.1234971466474235,
    0.1238737110979855,
    0.11759082553908229,
    0.1071002441458404,
    0.10015840455889702,
    0.10130830155685544,
    0.11709782527759671,
    0.1302051623351872,
    0.14666644809767604,
    0.13355299411341548,
    0.10856604715809226,
    0.09265023563057184,
    0.08830982493236661,
    0.0861695921048522,
    0.07922268006950617,
    0.07962497742846608,
    0.08630675682798028,
    0.08472034009173512,
    0.08601184980943799,
    0.09197436133399606,
    0.08640755759552121,
    0.08170647593215108,
    0.08432021038606763,
    0.08909827610477805,
    0.09696809248998761,
    0.10583487199619412,
    0.09921774873510003,
    0.09372784243896604,
    0.08763957768678665,
    0.08293892862275243,
    0.07802710263058543,
    0.08212912175804377,
    0.08289761422201991,
    0.08749884506687522,
    0.0858574933372438,
    0.09555764077231288,
    0.10227764444425702,
    0.09822836285457015,
    0.07951666181907058,
    0.06831388687714934,
    0.07750366674736142,
    0.08969835238531232,
    0.1058991034515202,
    0.11762290494516492,
    0.1137716923840344,
    0.12390666827559471,
    0.13491241773590446,
    0.14164938079193234,
    0.12144241807982326,
    0.10480310348793864,
    0.10022331262007356,
    0.09196629794314504,
    0.08961095241829753,
    0.09763567242771387,
    0.09724067198112607,
    0.09627927234396338,
    0.08546417579054832,
    0.0801643286831677,
    0.08039035322144628,
    0.07801170693710446,
    0.06699154945090413,
    0.06193008599802852,
    0.07236443599686027,
    0.08020261814817786,
    0.08876267215237021,
    0.09330526646226645,
    0.10159771516919136,
    0.10800315020605922,
    0.11623641336336732,
    0.11247014487162232,
    0.11298490408807993,
    0.10882831690832973,
    0.09676362248137593,
    0.08391119865700603,
    0.07039312412962317,
    0.06516431691125035,
    0.06411732034757733,
    0.06856440985575318,
    0.06718221725896001,
    0.07251563016325235,
    0.0837171315215528,
    0.09172935830429196,
    0.09610813483595848,
    0.08896447205916047,
    0.08711675461381674,
    0.09217837871983647,
    0.09295250056311488,
    0.1047493708319962,
    0.12846450926735997,
    0.15385331260040402,
    0.1466163513250649,
    0.1320606698282063,
    0.13213396910578012,
    0.1421585320495069,
    0.14886706182733178,
    0.14556133328005672,
    0.13327518897131085,
    0.12616270640864968,
    0.12448572041466832,
    0.1364508061669767,
    0.14451639028266072,
    0.1453587943688035,
    0.13682090118527412,
    0.12870551319792867,
    0.1290610646829009,
    0.10915855364874005,
    0.08684715768322349,
    0.07198414858430624,
    0.07084944006055593,
    0.0749454190954566,
    0.0795905664563179,
    0.09186471300199628,
    0.09829738037660718,
    0.10487487493082881,
    0.0975792515091598,
    0.09600457642227411,
    0.09176109218969941,
    0.08197347447276115,
    0.073149589356035,
    0.061774376314133406,
    0.06105252401903272,
    0.060034718830138445,
    0.059255015570670366,
    0.06752551486715674,
    0.07112056808546185,
    0.07900461601093411,
    0.08149153040722013,
    0.08281848998740315,
    0.08018168387934566,
    0.06531251734122634,
    0.059536654967814684,
    0.05624171672388911,
    0.056415806990116835,
    0.06323642702773213,
    0.07071425067260861,
    0.07495512394234538,
    0.07334014447405934,
    0.07009190740063787,
    0.07540238043293357,
    0.064504184294492,
    0.06269504455849528,
    0.06498942570760846,
    0.059778079856187105,
    0.05167869385331869,
    0.0581232481636107,
    0.05956605402752757,
    0.06646868819370866,
    0.06446708412840962,
    0.07309629255905747,
    0.0778225907124579,
    0.07272121543064713,
    0.07547770859673619,
    0.09293270157650113,
    0.10561733273789287,
    0.11808370100334287,
    0.11993700778111815,
    0.12086567049846053,
    0.12415012763813138,
    0.11951254541054368,
    0.10034358873963356,
    0.0845322897657752,
    0.08611165219917893,
    0.09701314056292176,
    0.11861322959885001,
    0.12051706109195948,
    0.11186913028359413,
    0.10180979641154408,
    0.09732281463220716,
    0.10308399377390742,
    0.10721116559579968,
    0.10790275689214468,
    0.11108301905915141,
    0.11588860908523202,
    0.11965601285919547,
    0.12781969783827662,
    0.14005150785669684,
    0.13499821349978447,
    0.11818173574283719,
    0.10285482881590724,
    0.08926424710080028,
    0.08118628617376089,
    0.08026614412665367,
    0.08269308833405375,
    0.09008526103571057,
    0.10352060245350003,
    0.10871015163138509,
    0.11048167711123824,
    0.11813030252233148,
    0.1284724804572761,
    0.12079444574192166,
    0.09613238321617246,
    0.08003597613424063,
    0.07747600460425019,
    0.08784250961616635,
    0.09920922247692943,
    0.09577010059729218,
    0.08392647560685873,
    0.07761715119704604,
    0.06582113401964307,
    0.06009589787572622,
    0.06866195378825068,
    0.06877210782840848,
    0.06517303036525846,
    0.0676693138666451,
    0.07866003038361669,
    0.10497991787269711,
    0.12076696427538991,
    0.12821250827983022,
    0.13397155096754432,
    0.12598120467737317,
    0.1302623418159783,
    0.13586507318541408,
    0.14855833677574992,
    0.1710321237333119,
    0.19215216906741261,
    0.19331682892516255,
    0.18608152633532882,
    0.17710686894133687,
    0.17308864323422313,
    0.16846227692440152,
    0.13459681393578649,
    0.10431475983932614,
    0.08774000080302358,
    0.07711882470175624,
    0.08536759112030268,
    0.10089234868064523,
    0.12547089764848351,
    0.15032718004658818,
    0.18013364681974053,
    0.18866839492693543,
    0.1777128237299621,
    0.15485827717930079,
    0.144198649097234,
    0.13177110301330686,
    0.12171997176483274,
    0.11125496635213494,
    0.09288232773542404,
    0.08591355802491307,
    0.09280317602679133,
    0.105361248832196,
    0.1042885142378509,
    0.09978736285120249,
    0.09412278886884451,
    0.09751073596999049,
    0.09833842283114791,
    0.10481247445568442,
    0.11675201123580337,
    0.10088426759466529,
    0.08092438569292426,
    0.06085757212713361,
    0.05226991232484579,
    0.051689605694264174,
    0.057082738261669874,
    0.05967155145481229,
    0.07404771028086543,
    0.07766141789034009,
    0.07414248073473573,
    0.07419458078220487,
    0.08576896088197827,
    0.10207180073484778,
    0.10340423649176955,
    0.11156184552237391,
    0.11306403623893857,
    0.10814242484048009,
    0.1070941393263638,
    0.11722311703488231,
    0.1329955100081861,
    0.15004498604685068,
    0.15803059842437506,
    0.15001426404342055,
    0.13780938414856791,
    0.1440232335589826,
    0.14387222612276673,
    0.13785764249041677,
    0.12943942518904805,
    0.12885127728804946,
    0.132675236556679,
    0.1296795909292996,
    0.12423510430380702,
    0.11672325106337667,
    0.11448582308366895,
    0.1228659120388329,
    0.13418709905818105,
    0.1422250783070922,
    0.13632876053452492,
    0.13249503867700696,
    0.13162713823840022,
    0.12262182589620352,
    0.11165524320676923,
    0.10111930966377258,
    0.10727808019146323,
    0.12786202784627676,
    0.14505824027583003,
    0.13726737489923835,
    0.12768844002857804,
    0.11675518797710538,
    0.11824540700763464,
    0.12556568579748273,
    0.1335536390542984,
    0.12029625149443746,
    0.0969235454685986,
    0.07923065219074488,
    0.07124883774667978,
    0.07608019979670644,
    0.08619791315868497,
    0.10525662358850241,
    0.10461749928072095,
    0.10854406980797648,
    0.12428483786061406,
    0.13904694328084588,
    0.1504367059096694,
    0.16050379304215312,
    0.14916406199336052,
    0.13296676566824317,
    0.11768597504124045,
    0.11982301762327552,
    0.14033089904114604,
    0.1515326309017837,
    0.15064526442438364,
    0.14433583291247487,
    0.1278128302656114,
    0.11301457928493619,
    0.11015641316771507,
    0.10349566815420985,
    0.09422862948849797,
    0.09490339225158095,
    0.12010599719360471,
    0.1639985698275268,
    0.20011649327352643,
    0.21492915460839868,
    0.2109491196461022,
    0.18506505759432912,
    0.16426559584215283,
    0.14191247103735805,
    0.12879497231915593,
    0.11675008712336421,
    0.11469058925285935,
    0.11629391135647893,
    0.11480206251144409,
    0.11873426614329219,
    0.11568635003641248,
    0.11038717720657587,
    0.10771631496027112,
    0.10095203993842006,
    0.09598234901204705,
    0.08448153967037797,
    0.07904327986761928,
    0.0725185233168304,
    0.07359005277976394,
    0.0827191430144012,
    0.09406011970713735,
    0.10196472564712167,
    0.10937078623101115,
    0.12582503585144877,
    0.13250766275450587,
    0.11895021283999085,
    0.09403227176517248,
    0.06885170238092542,
    0.056102731730788946,
    0.05090801464393735,
    0.06289308751001954,
    0.06364970561116934,
    0.07742966851219535,
    0.08936741249635816,
    0.10864555137231946,
    0.11796223884448409,
    0.12227183673530817,
    0.12406436400488019,
    0.11864532763138413,
    0.11540033528581262,
    0.11645961133763194,
    0.12007990898564458,
    0.10869786888360977,
    0.09074713615700603,
    0.07827324559912086,
    0.07205538963899016,
    0.06741441087797284,
    0.06452191108837724,
    0.061020839493721724,
    0.06028836267068982,
    0.061705272644758224,
    0.082307034637779,
    0.10643496690317988,
    0.1345800501294434,
    0.1461897254921496,
    0.15691613918170333,
    0.1676311856135726,
    0.16571308905258775,
    0.14477939484640956,
    0.12941291788592935,
    0.12473116116598248,
    0.12886142823845148,
    0.13201907323673368,
    0.1490540886297822,
    0.16654781624674797,
    0.16712508257478476,
    0.1514590042643249,
    0.1358369612134993,
    0.12075700517743826,
    0.11299721011891961,
    0.11847480712458491,
    0.12500248616561294,
    0.1318662529811263,
    0.1311550079844892,
    0.11032103234902024,
    0.1160964504815638,
    0.13171545742079616,
    0.1439924049191177,
    0.13854761002585292,
    0.1356691368855536,
    0.13397493539378047,
    0.1384676401503384,
    0.13262655911967158,
    0.11741995392367244,
    0.10510362079367042,
    0.11616446962580085,
    0.1317386468872428,
    0.12758401548489928,
    0.11438133148476481,
    0.11135686514899135,
    0.10777871450409293,
    0.10672711720690131,
    0.12447723234072328,
    0.1425982122309506,
    0.16450778441503644,
    0.18577578430995345,
    0.20260985242202878,
    0.2142704534344375,
    0.20629311027005315,
    0.1927862330339849,
    0.19171555945649743,
    0.18906279979273677,
    0.18475850811228156,
    0.18981598410755396,
    0.18961836909875274,
    0.17531544342637062,
    0.1543029802851379,
    0.1363383145071566,
    0.11080920696258545,
    0.10465464228764176,
    0.11036006500944495,
    0.10861981986090541,
    0.11356851551681757,
    0.11632347898557782,
    0.13262603105977178,
    0.1481719077564776,
    0.17097881296649575,
    0.1887297322973609,
    0.17980889230966568,
    0.1650553452782333,
    0.14234485616907477,
    0.12848762748762965,
    0.1213192823342979,
    0.10522034438326955,
    0.09713424788787961,
    0.10346990404650569,
    0.10678378539159894,
    0.10235218377783895,
    0.10294267116114497,
    0.10140185384079814,
    0.08935626642778516,
    0.08246798859909177,
    0.07994129415601492,
    0.08865134743973613,
    0.07937654154375196,
    0.07587584247812629,
    0.07754101185128093,
    0.07352786557748914,
    0.07079055579379201,
    0.07530234334990382,
    0.07531074481084943,
    0.07350261090323329,
    0.08162348018959165,
    0.07806483982130885,
    0.07311769900843501,
    0.07096721837297082,
    0.06769960699602962,
    0.06317832227796316,
    0.05624445853754878,
    0.05872191395610571,
    0.06651429878547788,
    0.07687422400340438,
    0.08290454326197505,
    0.08263304457068443,
    0.07902431534603238,
    0.07490091444924474,
    0.06216281419619918,
    0.04163755336776376,
    0.030693103093653917,
    0.027926445938646793,
    0.02765708463266492,
    0.03435621922835708,
    0.04559890925884247,
    0.06431673699989915,
    0.07400282705202699,
    0.0850187879987061,
    0.09769596997648478,
    0.10422874288633466,
    0.1095555848442018,
    0.10048183286562562,
    0.104726891964674,
    0.10093463584780693,
    0.09228050569072366,
    0.08605609880760312,
    0.08071316545829177,
    0.06698867725208402,
    0.05893551651388407,
    0.03905900241807103,
    0.0212821695022285,
    0.015354052651673555,
    0.0040408349595963955,
    0.0007087895646691322,
    0.0006259013898670673,
    0.0014730035327374935,
    0.007859718520194292,
    0.021279421169310808,
    0.020481530111283064,
    0.023058931808918715,
    0.030781616922467947,
    0.037864935118705034,
    0.03769261483103037,
    0.03131211223080754,
    0.028273255564272404,
    0.028871354181319475,
    0.01982193486765027,
    0.016933211125433445,
    0.029104255605489016,
    0.035373787861317396,
    0.03459715424105525,
    0.03121898416429758,
    0.03667388251051307,
    0.044409838039427996,
    0.05619914596900344,
    0.06144523713737726,
    0.08377687400206923,
    0.09808838134631515,
    0.10829983046278358,
    0.0928749549202621,
    0.07469630567356944,
    0.06272157141938806,
    0.04957438679412007,
    0.04129997221753001,
    0.032304607797414064,
    0.028237374033778906,
    0.02075043972581625,
    0.01956675434485078,
    0.0198647347278893,
    0.021943669766187668,
    0.01645235111936927,
    0.01526004122570157,
    0.024914765264838934,
    0.024324714206159115,
    0.022773549426347017,
    0.025355078745633364,
    0.031510426197201014,
    0.03504933835938573,
    0.04353576013818383,
    0.048342940863221884,
    0.04414090607315302,
    0.057181441225111485,
    0.07386429933831096,
    0.08638399420306087,
    0.09481428610160947,
    0.10904565826058388,
    0.11847969051450491,
    0.13894760515540838,
    0.13695868430659175,
    0.13431148324161768,
    0.12298746081069112,
    0.08882499393075705,
    0.06777594843879342,
    0.05596666457131505,
    0.05046800663694739,
    0.04128362284973264,
    0.03541656816378236,
    0.03450280800461769,
    0.03668287815526128,
    0.04012402193620801,
    0.04440947948023677,
    0.05002437671646476,
    0.04146048938855529,
    0.043775773607194424,
    0.055472556967288256,
    0.05397411482408643,
    0.05160366976633668,
    0.04962002392858267,
    0.062494643963873386,
    0.07116663502529263,
    0.07691140146926045,
    0.08217107085511088,
    0.08949587540701032,
    0.08396226214244962,
    0.08431455073878169,
    0.08534122770652175,
    0.08455001469701529,
    0.09182739770039916,
    0.10088423127308488,
    0.1115988022647798,
    0.11401851149275899,
    0.09793006768450141,
    0.09201639285311103,
    0.0926804575137794,
    0.09469301020726562,
    0.09579569986090064,
    0.09564547659829259,
    0.10034044180065393,
    0.10141550051048398,
    0.11084791924804449,
    0.11936186021193862,
    0.11974317254498601,
    0.11183368461206555,
    0.1064408733509481,
    0.10102089820429683,
    0.0982643379829824,
    0.09223759220913053,
    0.0948546165600419,
    0.09243851946666837,
    0.0961942314170301,
    0.09898663172498345,
    0.09085150947794318,
    0.07881075469776988,
    0.07895184075459838,
    0.07840206800028682,
    0.08108441112563014,
    0.07644663145765662,
    0.07495746808126569,
    0.08435813244432211,
    0.10327836452051997,
    0.10164492903277278,
    0.09454184677451849,
    0.07588983979076147,
    0.05769457248970866,
    0.037062745075672865,
    0.02648750739172101,
    0.02530925115570426,
    0.02392787579447031,
    0.022591729182749987,
    0.011257005389779806,
    0.004499219823628664,
    0.006734475959092379,
    0.01277923583984375,
    0.012985390145331621,
    0.022749933879822493,
    0.02582981437444687,
    0.027649197727441788,
    0.030463786330074072,
    0.029353077989071608,
    0.030222243163734674,
    0.02865065773949027,
    0.029470513109117746,
    0.03163962718099356,
    0.026738003361970186,
    0.03356870636343956,
    0.037838566582649946,
    0.04319795360788703,
    0.03030125703662634,
    0.030797079671174288,
    0.033279397059232,
    0.03727453853935003,
    0.0443567861802876,
    0.05100177275016904,
    0.06370956497266889,
    0.05887020053341985,
    0.06280751898884773,
    0.06960693234577775,
    0.07824867591261864,
    0.07934640115126967,
    0.08240856323391199,
    0.09377486165612936,
    0.10257487604394555,
    0.10947115765884519,
    0.1270828819833696,
    0.13496792363002896,
    0.1258111554197967,
    0.10494263144209981,
    0.09487417386844754,
    0.09544596401974559,
    0.10288901533931494,
    0.09221152076497674,
    0.09447857784107327,
    0.10192785412073135,
    0.10525241075083613,
    0.0892046052031219,
    0.07813622849062085,
    0.07442929642274976,
    0.07474440010264516,
    0.08451121626421809,
    0.10184382786974311,
    0.11105089774355292,
    0.10865298518911004,
    0.10677770851179957,
    0.10740557359531522,
    0.10441400902345777,
    0.11012918828055263,
    0.10415795771405101,
    0.09468808677047491,
    0.0643673101440072,
    0.052405531983822584,
    0.03934980230405927,
    0.03548501851037145,
    0.03887832211330533,
    0.039716408122330904,
    0.04085767921060324,
    0.03937481576576829,
    0.03988853981718421,
    0.04346333770081401,
    0.04974643653258681,
    0.054464482236653566,
    0.06624527694657445,
    0.0827905242331326,
    0.08458104636520147,
    0.07045059325173497,
    0.06521562626585364,
    0.07439831690862775,
    0.08958508865907788,
    0.08544100914150476,
    0.08782883640378714,
    0.09273833921179175,
    0.10081320768222213,
    0.12242459086701274,
    0.1457434264011681,
    0.13660087948665023,
    0.11063474928960204,
    0.09271404938772321,
    0.08536247489973903,
    0.07358843507245183,
    0.07105568423867226,
    0.07437248947098851,
    0.07554464694112539,
    0.0837269090116024,
    0.10853716032579541,
    0.1440188712440431,
    0.13826631009578705,
    0.1236257660202682,
    0.10655563743785024,
    0.08928827103227377,
    0.08667863300070167,
    0.0854448308236897,
    0.08958125440403819,
    0.08483250066637993,
    0.07743199076503515,
    0.07851711567491293,
    0.0795566770248115,
    0.0800907020457089,
    0.07263534097000957,
    0.056958325672894716,
    0.04633402219042182,
    0.03536090673878789,
    0.03272690949961543,
    0.034047361463308334,
    0.03162692813202739,
    0.0329628367908299,
    0.028756093699485064,
    0.027797861956059933,
    0.026364328805357218,
    0.03353257058188319,
    0.04201993020251393,
    0.03736152593046427,
    0.04465446760877967,
    0.07450525555759668,
    0.10387555370107293,
    0.12187539832666516,
    0.1163116772659123,
    0.10234295343980193,
    0.07186896773055196,
    0.04590427549555898,
    0.03533501271158457,
    0.029312663711607456,
    0.021710573695600033,
    0.012763131875544786,
    0.0032618455588817596,
    -0.009629122912883759,
    -0.014534118119627237,
    -0.01027316227555275,
    -0.004916930105537176,
    0.005878888536244631,
    0.026495156344026327,
    0.048797795083373785,
    0.07778204558417201,
    0.07806498045101762,
    0.07724093133583665,
    0.07867678673937917,
    0.0770753687247634,
    0.07652056310325861,
    0.0769304153509438,
    0.07793869404122233,
    0.08980273129418492,
    0.0973031627945602,
    0.10796815576031804,
    0.09070206945762038,
    0.07376068225130439,
    0.06476803263649344,
    0.06421254621818662,
    0.06251556845381856,
    0.06463342811912298,
    0.06369175808504224,
    0.06452251272276044,
    0.06561823328956962,
    0.05746173532679677,
    0.05578539427369833,
    0.049519910011440516,
    0.03795379912480712,
    0.03822739748284221,
    0.03674575360491872,
    0.03187030786648393,
    0.02418910013511777,
    0.023479624651372433,
    0.01846350310370326,
    0.006696589756757021,
    -0.006130448076874018,
    -0.016649950295686722,
    -0.01177618745714426,
    0.0008003595285117626,
    0.005338852759450674,
    0.018543503247201443,
    0.03795418934896588,
    0.048512113746255636,
    0.05398273095488548,
    0.06001876387745142,
    0.06619546050205827,
    0.0661133867688477,
    0.05135861085727811,
    0.04782105144113302,
    0.05049470206722617,
    0.0509679839015007,
    0.0446043205447495,
    0.035805847961455584,
    0.042797529604285955,
    0.03400522889569402,
    0.0264792968519032,
    0.026237293146550655,
    0.03267767699435353,
    0.042541828006505966,
    0.05438920250162482,
    0.05825963616371155,
    0.06064644129946828,
    0.06826324528083205,
    0.08498228993266821,
    0.1050727404654026,
    0.1252563432790339,
    0.14231862546876073,
    0.14931152248755097,
    0.14576951460912824,
    0.1404636288061738,
    0.1417490034364164,
    0.1327623245306313,
    0.10862675961107016,
    0.09497959678992629,
    0.09646315919235349,
    0.09436284611001611,
    0.08603206695988774,
    0.09837937960401177,
    0.10013705166056752,
    0.09949461231008172,
    0.09569921717047691,
    0.08800659840926528,
    0.07952973386272788,
    0.06597675988450646,
    0.0536087560467422,
    0.05078144418075681,
    0.035283397883176804,
    0.025267038960009813,
    0.016302420757710934,
    0.02103430824354291,
    0.01583606330677867,
    0.01648148987442255,
    0.02372313430532813,
    0.025031746830791235,
    0.031149418093264103,
    0.03678306518122554,
    0.04322846652939916,
    0.040197374764829874,
    0.04568640189245343,
    0.047889900859445333,
    0.04967075074091554,
    0.053749137558043,
    0.06368859484791756,
    0.06559405522421002,
    0.061067651491612196,
    0.04437136044725776,
    0.03242756566032767,
    0.03193967929109931,
    0.040933646727353334,
    0.045348850544542074,
    0.053040333557873964,
    0.05228919209912419,
    0.05448837950825691,
    0.053226476069539785,
    0.05421080952510238,
    0.059105001855641603,
    0.05655839527025819,
    0.044606862124055624,
    0.04281046660616994,
    0.05330918310210109,
    0.06452937331050634,
    0.07233036635443568,
    0.07632903615012765,
    0.09082373883575201,
    0.10586927505210042,
    0.12948725698515773,
    0.14656771812587976,
    0.15047553554177284,
    0.14048068271949887,
    0.1396721606142819,
    0.14568926813080907,
    0.15379387931898236,
    0.18278677156195045,
    0.20093803713098168,
    0.23209031717851758,
    0.2567925644107163,
    0.26359010813757777,
    0.24361931392922997,
    0.21690456150099635,
    0.19348899414762855,
    0.17414192762225866,
    0.15535449655726552,
    0.13886685715988278,
    0.1379309711046517,
    0.1403510607779026,
    0.15168049093335867,
    0.16506863292306662,
    0.16197246359661222,
    0.16042369371280074,
    0.15180140314623713,
    0.14949048636481166,
    0.1404153141193092,
    0.128563336096704,
    0.11852417513728142,
    0.11230754014104605,
    0.1100745415315032,
    0.10138301877304912,
    0.09345385106280446,
    0.09539817180484533,
    0.0902536022476852,
    0.09579497901722789,
    0.09306609211489558,
    0.08442163513973355,
    0.0801384006626904,
    0.07782452879473567,
    0.07687870925292373,
    0.07382146781310439,
    0.06349009042605758,
    0.05668070074170828,
    0.05745732458308339,
    0.05739848641678691,
    0.06992796109989285,
    0.07195169990882277,
    0.0696711321361363,
    0.06806204561144114,
    0.06561644887551665,
    0.0617605303414166,
    0.06488896952942014,
    0.060148649383336306,
    0.06262248894199729,
    0.06550335558131337,
    0.060851702000945807,
    0.055945165921002626,
    0.06506724702194333,
    0.06772889057174325,
    0.06748896697536111,
    0.05824798857793212,
    0.054630101192742586,
    0.058555157389491796,
    0.06703213695436716,
    0.07634631171822548,
    0.07712209364399314,
    0.07435720460489392,
    0.0701578208245337,
    0.0617260062135756,
    0.05373956495895982,
    0.03672279277816415,
    0.02525779465213418,
    0.02094710385426879,
    0.02546877646818757,
    0.0350991734303534,
    0.046851538587361574,
    0.06624501990154386,
    0.0926012834534049,
    0.11839727079495788,
    0.12400018097832799,
    0.13003716012462974,
    0.13560100691393018,
    0.12566382670775056,
    0.11711812391877174,
    0.10664475755766034,
    0.09860383393242955,
    0.09148989291861653,
    0.08488501841202378,
    0.08621590165421367,
    0.08785293297842145,
    0.09312679199501872,
    0.10213031666353345,
    0.12329004751518369,
    0.13972571911290288,
    0.13236024370417,
    0.12281393399462104,
    0.11456836061552167,
    0.1106341234408319,
    0.10396507056429982,
    0.10058703785762191,
    0.09896780224516988,
    0.09518029587343335,
    0.09267594246193767,
    0.0933727016672492,
    0.09272770443931222,
    0.08457803027704358,
    0.07747627887874842,
    0.07502027694135904,
    0.07885850267484784,
    0.08042538305744529,
    0.07801697822287679,
    0.07806787686422467,
    0.08350605564191937,
    0.08588532404974103,
    0.09045222261920571,
    0.08837090479210019
  ],
  "coil": [
    0.4028699994087219,
    0.46117502450942993,
    0.5166810154914856,
    0.5701973140239716,
    0.5781792998313904,
    0.550089418888092,
    0.5171014964580536,
    0.48895156383514404,
    0.4436261057853699,
    0.4024554193019867,
    0.39181026816368103,
    0.4153662621974945,
    0.4641396701335907,
    0.49163833260536194,
    0.45796093344688416,
    0.41303977370262146,
    0.36829257011413574,
    0.3346698582172394,
    0.30558037757873535,
    0.31660690903663635,
    0.3414708375930786,
    0.3524188697338104,
    0.38784530758857727,
    0.4627780169248581,
    0.49068115651607513,
    0.4963662326335907,
    0.4815010130405426,
    0.4554610103368759,
    0.44390054047107697,
    0.3987235128879547,
    0.36122044920921326,
    0.32849231362342834,
    0.3178322911262512,
    0.3468165993690491,
    0.3825199753046036,
    0.4448309391736984,
    0.5006110221147537,
    0.5453184098005295,
    0.5565949976444244,
    0.5180375427007675,
    0.4384017884731293,
    0.3469934016466141,
    0.2718042731285095,
    0.23460786044597626,
    0.22089426219463348,
    0.18470150232315063,
    0.15702930092811584,
    0.16335105895996094,
    0.21726113557815552,
    0.2859227955341339,
    0.32655543088912964,
    0.35364364087581635,
    0.3834647685289383,
    0.40781815350055695,
    0.4368608891963959,
    0.47100165486335754,
    0.45887792110443115,
    0.42204397916793823,
    0.34340858459472656,
    0.2777867317199707,
    0.18761809170246124,
    0.1473773717880249,
    0.1371004581451416,
    0.18267998099327087,
    0.24468110501766205,
    0.31754085421562195,
    0.3538847714662552,
    0.4065549969673157,
    0.4480879008769989,
    0.44229017198085785,
    0.3980368673801422,
    0.35503122210502625,
    0.331174835562706,
    0.3096725642681122,
    0.34882669150829315,
    0.40682952105998993,
    0.4571949392557144,
    0.4925442188978195,
    0.5477732121944427,
    0.548144519329071,
    0.48083166778087616,
    0.3536558449268341,
    0.2894997149705887,
    0.2547477036714554,
    0.24503038823604584,
    0.24972493946552277,
    0.26402343809604645,
    0.27845562994480133,
    0.27723175287246704,
    0.2664099782705307,
    0.285913422703743,
    0.30002376437187195,
    0.3054724335670471,
    0.3070957660675049,
    0.347122922539711,
    0.4093291014432907,
    0.4551668018102646,
    0.4724666625261307,
    0.462298646569252,
    0.4148396700620651,
    0.39239874482154846,
    0.35284487903118134,
    0.29086247086524963,
    0.2016950249671936,
    0.17603829503059387,
    0.17691627144813538,
    0.21780623495578766,
    0.2583334147930145,
    0.33197276294231415,
    0.4301091730594635,
    0.5369695127010345,
    0.5776045322418213,
    0.5555681735277176,
    0.48924753069877625,
    0.4700494855642319,
    0.4347081929445267,
    0.4077570289373398,
    0.39370617270469666,
    0.36774563789367676,
    0.38064125180244446,
    0.3831837922334671,
    0.36761848628520966,
    0.34730808436870575,
    0.33582793176174164,
    0.3032338172197342,
    0.2661396563053131,
    0.24071069061756134,
    0.2340576946735382,
    0.2388506382703781,
    0.25360724329948425,
    0.2922710031270981,
    0.3142247945070267,
    0.3287043124437332,
    0.35018739104270935,
    0.38333068788051605,
    0.4056219756603241,
    0.43025924265384674,
    0.466825008392334,
    0.5174423009157181,
    0.5162808299064636,
    0.49654047191143036,
    0.49974529445171356,
    0.5123089551925659,
    0.530356377363205,
    0.5317972004413605,
    0.5242444574832916,
    0.503458172082901,
    0.4671284258365631,
    0.41115109622478485,
    0.38464441895484924,
    0.38997869193553925,
    0.40253910422325134,
    0.4184396117925644,
    0.4279610514640808,
    0.42563146352767944,
    0.4484475553035736,
    0.45958395302295685,
    0.43215423822402954,
    0.3617141842842102,
    0.27774930000305176,
    0.22735583782196045,
    0.2065826654434204,
    0.2123900204896927,
    0.24361653625965118,
    0.3277847319841385,
    0.3829714059829712,
    0.3921864479780197,
    0.40542830526828766,
    0.3925856202840805,
    0.3701355308294296,
    0.34488295018672943,
    0.3302408903837204,
    0.33027851581573486,
    0.33274704217910767,
    0.3189229667186737,
    0.3009503483772278,
    0.3003641963005066,
    0.298102930188179,
    0.29191987216472626,
    0.2781403660774231,
    0.2331800013780594,
    0.18746386468410492,
    0.16007746756076813,
    0.1432981938123703,
    0.1750795841217041,
    0.2224283218383789,
    0.2790950834751129,
    0.3018096089363098,
    0.34313271939754486,
    0.3779737502336502,
    0.3845994472503662,
    0.3793424367904663,
    0.34287476539611816,
    0.38086892664432526,
    0.4267219305038452,
    0.4617253690958023,
    0.3976820856332779,
    0.3598146438598633,
    0.3228153735399246,
    0.28162896633148193,
    0.24967452883720398,
    0.2809782177209854,
    0.3470151722431183,
    0.4063001871109009,
    0.4320879727602005,
    0.4154345840215683,
    0.40934203565120697,
    0.412767618894577,
    0.4011373817920685,
    0.4121677577495575,
    0.40729382634162903,
    0.36853665113449097,
    0.3237840086221695,
    0.2872030735015869,
    0.26975490152835846,
    0.21672095358371735,
    0.2121901512145996,
    0.23798219859600067,
    0.26469413936138153,
    0.27779969573020935,
    0.2657950073480606,
    0.23026661574840546,
    0.20605765283107758,
    0.1807774156332016,
    0.18004383146762848,
    0.22078830003738403,
    0.27982407808303833,
    0.337606742978096,
    0.3742842376232147,
    0.42080043256282806,
    0.43724803626537323,
    0.421504870057106,
    0.3493753522634506,
    0.290707603096962,
    0.22174060344696045,
    0.22522825002670288,
    0.27618956565856934,
    0.3587017357349396,
    0.44267185032367706,
    0.5299104601144791,
    0.5776141881942749,
    0.5849188268184662,
    0.607613816857338,
    0.5771240741014481,
    0.5463145077228546,
    0.5003603249788284,
    0.4485611170530319,
    0.40109413862228394,
    0.34718482196331024,
    0.31215304136276245,
    0.2897232472896576,
    0.24127814173698425,
    0.2132476419210434,
    0.2139701396226883,
    0.2294638752937317,
    0.24927552044391632,
    0.2751521021127701,
    0.30986785888671875,
    0.35389411449432373,
    0.3627171814441681,
    0.38810351490974426,
    0.4274686723947525,
    0.44847793877124786,
    0.4395829439163208,
    0.4216888099908829,
    0.39840105175971985,
    0.3435527831315994,
    0.2873672693967819,
    0.2229977399110794,
    0.17883047461509705,
    0.18093040585517883,
    0.2182377278804779,
    0.2839316576719284,
    0.34949952363967896,
    0.43772922456264496,
    0.3981674462556839,
    0.33648180961608887,
    0.2920747697353363,
    0.26289112865924835,
    0.2797148823738098,
    0.31727756559848785,
    0.37083448469638824,
    0.3837609440088272,
    0.43364042043685913,
    0.4323664754629135,
    0.41381368041038513,
    0.414203941822052,
    0.4401158392429352,
    0.4826173782348633,
    0.5502675026655197,
    0.6010723412036896,
    0.591762587428093,
    0.5204829126596451,
    0.47029075026512146,
    0.4312216341495514,
    0.3912040740251541,
    0.32044993340969086,
    0.2666836678981781,
    0.24862629175186157,
    0.21898570656776428,
    0.23362931609153748,
    0.29565463960170746,
    0.37448880076408386,
    0.4283427894115448,
    0.4280647337436676,
    0.43929317593574524,
    0.4275059401988983,
    0.3822416365146637,
    0.3488423079252243,
    0.2900813966989517,
    0.24469409883022308,
    0.18265143036842346,
    0.17482036352157593,
    0.17320570349693298,
    0.171491801738739,
    0.15033942461013794,
    0.15576861798763275,
    0.18303699791431427,
    0.19673565030097961,
    0.21660259366035461,
    0.23697529733181,
    0.28840216994285583,
    0.29649418592453003,
    0.266302689909935,
    0.2530112564563751,
    0.23472118377685547,
    0.2528976649045944,
    0.29559892416000366,
    0.36117447912693024,
    0.4327770918607712,
    0.480249360203743,
    0.48991475999355316,
    0.4554258733987808,
    0.4026515930891037,
    0.3126444071531296,
    0.21286678314208984,
    0.13032115995883942,
    0.0893942266702652,
    0.08256767690181732,
    0.11195342242717743,
    0.18469931185245514,
    0.28684094548225403,
    0.37824663519859314,
    0.4463628828525543,
    0.5081631988286972,
    0.5174065232276917,
    0.4948531836271286,
    0.45731694996356964,
    0.4086029678583145,
    0.33918486535549164,
    0.30199235677719116,
    0.28086523711681366,
    0.29888826608657837,
    0.3282057046890259,
    0.3706851750612259,
    0.417728453874588,
    0.4131495952606201,
    0.3853923827409744,
    0.37577439844608307,
    0.35886725783348083,
    0.3402385115623474,
    0.3143416494131088,
    0.31654390692710876,
    0.33713996410369873,
    0.3505832552909851,
    0.35555507242679596,
    0.3810681402683258,
    0.4071129858493805,
    0.41921466588974,
    0.3998800814151764,
    0.40909387171268463,
    0.4270811378955841,
    0.4406481385231018,
    0.46024852991104126,
    0.4978175610303879,
    0.4996817708015442,
    0.4708935618400574,
    0.44909806549549103,
    0.4489845633506775,
    0.46877409517765045,
    0.49755990505218506,
    0.538613572716713,
    0.558679386973381,
    0.537643238902092,
    0.5164851099252701,
    0.5238680988550186,
    0.4815940260887146,
    0.42989157140254974,
    0.3746144026517868,
    0.35586118698120117,
    0.34007008373737335,
    0.3537886440753937,
    0.4100877493619919,
    0.44328367710113525,
    0.4341595321893692,
    0.36898453533649445,
    0.3205324858427048,
    0.2812955677509308,
    0.23546651005744934,
    0.19751816987991333,
    0.17847570776939392,
    0.1839916706085205,
    0.1924220323562622,
    0.2276085466146469,
    0.2546235918998718,
    0.27794231474399567,
    0.307140052318573,
    0.32413750886917114,
    0.32386551797389984,
    0.32689687609672546,
    0.36512133479118347,
    0.3832421749830246,
    0.3627277761697769,
    0.38341082632541656,
    0.38744306564331055,
    0.34663672745227814,
    0.2966633588075638,
    0.23022133111953735,
    0.19121582806110382,
    0.12940818071365356,
    0.13291926681995392,
    0.1291772872209549,
    0.1627459079027176,
    0.17718735337257385,
    0.21011941134929657,
    0.24242854118347168,
    0.2808157652616501,
    0.31901781260967255,
    0.3535618335008621,
    0.3620889186859131,
    0.3804522007703781,
    0.36441846191883087,
    0.3525436520576477,
    0.3508545756340027,
    0.3846292644739151,
    0.40590105950832367,
    0.42834942042827606,
    0.47516490519046783,
    0.4971679002046585,
    0.4847882091999054,
    0.4915844053030014,
    0.48168912529945374,
    0.4463459253311157,
    0.40743204951286316,
    0.39202919602394104,
    0.43682533502578735,
    0.45836041867733,
    0.4602021425962448,
    0.42524927854537964,
    0.40577666461467743,
    0.3653722554445267,
    0.3152500241994858,
    0.25555457174777985,
    0.2401556670665741,
    0.2355290949344635,
    0.21289710700511932,
    0.2158234566450119,
    0.2316959798336029,
    0.22449569404125214,
    0.239692822098732,
    0.25566481053829193,
    0.2580154538154602,
    0.2510233670473099,
    0.23788414895534515,
    0.24794724583625793,
    0.22081570327281952,
    0.1995956152677536,
    0.1929989904165268,
    0.21011905372142792,
    0.24617572128772736,
    0.27837106585502625,
    0.3098132610321045,
    0.3196811228990555,
    0.3281603455543518,
    0.3128681629896164,
    0.2782467156648636,
    0.24801123142242432,
    0.24005764722824097,
    0.21545958518981934,
    0.2062588930130005,
    0.19181419909000397,
    0.18276792764663696,
    0.18842223286628723,
    0.17677053809165955,
    0.19268323481082916,
    0.24555666744709015,
    0.291109636425972,
    0.2826625257730484,
    0.24648752808570862,
    0.23084641993045807,
    0.20054210722446442,
    0.1978663206100464,
    0.2176908403635025,
    0.24464167654514313,
    0.28086186945438385,
    0.31618185341358185,
    0.34346504509449005,
    0.3440069705247879,
    0.3394751399755478,
    0.3186465948820114,
    0.3073970824480057,
    0.2852773070335388,
    0.269963338971138,
    0.25476427376270294,
    0.25559596717357635,
    0.26929639279842377,
    0.2561698406934738,
    0.2382485717535019,
    0.19090022146701813,
    0.1410120129585266,
    0.11746524274349213,
    0.133412703871727,
    0.18895693123340607,
    0.24856889247894287,
    0.29949209094047546,
    0.30844198167324066,
    0.3177235573530197,
    0.3502345681190491,
    0.3863200545310974,
    0.41975221037864685,
    0.44035616517066956,
    0.44022388756275177,
    0.45169414579868317,
    0.4423108994960785,
    0.446352481842041,
    0.470498263835907,
    0.4924875348806381,
    0.4703453928232193,
    0.39035557210445404,
    0.33497385680675507,
    0.3129355162382126,
    0.27906009554862976,
    0.2638085335493088,
    0.22932913899421692,
    0.2347128689289093,
    0.23827487230300903,
    0.2579747438430786,
    0.27479347586631775,
    0.30301812291145325,
    0.33087480068206787,
    0.3701169639825821,
    0.3939284086227417,
    0.4043204337358475,
    0.4488462805747986,
    0.49730417132377625,
    0.530919685959816,
    0.5101469159126282,
    0.43126562237739563,
    0.298787921667099,
    0.1924198567867279,
    0.14985640347003937,
    0.17232704162597656,
    0.19419850409030914,
    0.21601039171218872,
    0.2391764372587204,
    0.2795599550008774,
    0.32508477568626404,
    0.34711840748786926,
    0.37813736498355865,
    0.36283716559410095,
    0.3392176181077957,
    0.32195428013801575,
    0.3111693263053894,
    0.3091539144515991,
    0.33447565138339996,
    0.3163508027791977,
    0.29047301411628723,
    0.2729305624961853,
    0.24172624945640564,
    0.2308991253376007,
    0.2620342969894409,
    0.28175146877765656,
    0.29942749440670013,
    0.30541811883449554,
    0.3212902545928955,
    0.3775744289159775,
    0.4123501777648926,
    0.4255148470401764,
    0.41906973719596863,
    0.42263612151145935,
    0.4035432040691376,
    0.3964100033044815,
    0.36183926463127136,
    0.34234483540058136,
    0.33965787291526794,
    0.3544568121433258,
    0.35918597877025604,
    0.3769451230764389,
    0.39137977361679077,
    0.4107193201780319,
    0.4525522291660309,
    0.45701494812965393,
    0.4160498082637787,
    0.3457493931055069,
    0.2616966813802719,
    0.2305620312690735,
    0.24137423932552338,
    0.29259146749973297,
    0.35443146526813507,
    0.4093082398176193,
    0.4722025543451309,
    0.5137245208024979,
    0.5049222707748413,
    0.4729260206222534,
    0.41011175513267517,
    0.34809234738349915,
    0.2800915539264679,
    0.26578347384929657,
    0.2886436879634857,
    0.34571540355682373,
    0.39003171026706696,
    0.42208972573280334,
    0.47587554156780243,
    0.5366798788309097,
    0.5694844871759415,
    0.5485309809446335,
    0.47803136706352234,
    0.42707590758800507,
    0.4252457320690155,
    0.4359454810619354,
    0.4236265569925308,
    0.373215451836586,
    0.31433966755867004,
    0.2839615046977997,
    0.2725871056318283,
    0.2834576368331909,
    0.30686526000499725,
    0.35921575129032135,
    0.38833270967006683,
    0.4238091707229614,
    0.43862660229206085,
    0.4668209105730057,
    0.4922129511833191,
    0.5166053473949432,
    0.48958396911621094,
    0.4373398870229721,
    0.35735708475112915,
    0.2979480177164078,
    0.26728761196136475,
    0.2629161775112152,
    0.2525459975004196,
    0.3095666468143463,
    0.34215961396694183,
    0.3489657789468765,
    0.31483398377895355,
    0.24261470139026642,
    0.22665700316429138,
    0.2183181643486023,
    0.203840434551239,
    0.19492533802986145,
    0.2137928009033203,
    0.26586996018886566,
    0.31439656019210815,
    0.3938247710466385,
    0.4007466733455658,
    0.43280650675296783,
    0.38615258038043976,
    0.34636546671390533,
    0.3468150198459625,
    0.34820830821990967,
    0.35899604856967926,
    0.35875581204891205,
    0.37922677397727966,
    0.3896438479423523,
    0.38189706206321716,
    0.41149231791496277,
    0.4680030792951584,
    0.5030904710292816,
    0.5147875547409058,
    0.5084681808948517,
    0.5131650865077972,
    0.48475325107574463,
    0.3902559280395508,
    0.3011166900396347,
    0.24930760264396667,
    0.1878376454114914,
    0.11525775492191315,
    0.10452252626419067,
    0.15437288582324982,
    0.23720481991767883,
    0.30199654400348663,
    0.34626464545726776,
    0.40206919610500336,
    0.41876110434532166,
    0.43804721534252167,
    0.3938433676958084,
    0.3443753868341446,
    0.30999770760536194,
    0.3105561286211014,
    0.34509114921092987,
    0.39837077260017395,
    0.4303404837846756,
    0.407356858253479,
    0.41003651916980743,
    0.375058189034462,
    0.2913760393857956,
    0.23621830344200134,
    0.20414067804813385,
    0.15950791537761688,
    0.14640548825263977,
    0.13533365726470947,
    0.10790319740772247,
    0.08557358384132385,
    0.08881010115146637,
    0.11674872040748596,
    0.15635408461093903,
    0.18941336870193481,
    0.21218380331993103,
    0.20591506361961365,
    0.18272677063941956,
    0.1734267771244049,
    0.18685179948806763,
    0.19162853062152863,
    0.23586668074131012,
    0.2815484255552292,
    0.321138858795166,
    0.3759137988090515,
    0.42337702214717865,
    0.43974684178829193,
    0.46299412846565247,
    0.46970149874687195,
    0.4454970359802246,
    0.4156472086906433,
    0.3803812563419342,
    0.3962111622095108,
    0.459921196103096,
    0.5141426622867584,
    0.5691870301961899,
    0.6274468153715134,
    0.6194835007190704,
    0.5775591135025024,
    0.4917373061180115,
    0.4012661874294281,
    0.3126952052116394,
    0.28089211881160736,
    0.24324233829975128,
    0.2529313564300537,
    0.26735493540763855,
    0.32090041041374207,
    0.39125339686870575,
    0.46423500776290894,
    0.48554727435112,
    0.4667923301458359,
    0.4464031457901001,
    0.4086223244667053,
    0.4045669138431549,
    0.40811994671821594,
    0.42248690128326416,
    0.4206196218729019,
    0.4223127216100693,
    0.42310290038585663,
    0.3950280547142029,
    0.3748904913663864,
    0.32524344325065613,
    0.28634771704673767,
    0.2263115793466568,
    0.19611361622810364,
    0.20180092751979828,
    0.2270292341709137,
    0.2622057795524597,
    0.2976735383272171,
    0.36093971133232117,
    0.36982351541519165,
    0.38525864481925964,
    0.375883549451828,
    0.3792983740568161,
    0.37774558365345,
    0.3710903823375702,
    0.3849823921918869,
    0.4367803484201431,
    0.49927717447280884,
    0.5702379643917084,
    0.6268606781959534,
    0.5859249234199524,
    0.569320023059845,
    0.5046716779470444,
    0.4354282021522522,
    0.406137079000473,
    0.38314199447631836,
    0.3708161413669586,
    0.3612334728240967,
    0.3652716130018234,
    0.37203046679496765,
    0.4005163013935089,
    0.4265946000814438,
    0.4330074042081833,
    0.4410005062818527,
    0.47376881539821625,
    0.5018328875303268,
    0.5368141680955887,
    0.5600115209817886,
    0.5365609377622604,
    0.47346921265125275,
    0.4137061983346939,
    0.36426977813243866,
    0.3075818717479706,
    0.2893581688404083,
    0.2867734134197235,
    0.3083450049161911,
    0.3712727278470993,
    0.4574313908815384,
    0.4853062778711319,
    0.4735926687717438,
    0.4248524308204651,
    0.3515006899833679,
    0.3177555799484253,
    0.3021007627248764,
    0.3073946386575699,
    0.35168296098709106,
    0.4089498668909073,
    0.42701704800128937,
    0.4726354032754898,
    0.5186905413866043,
    0.5015104115009308,
    0.4811311811208725,
    0.4289913773536682,
    0.3883487731218338,
    0.3686150312423706,
    0.39271341264247894,
    0.4122021943330765,
    0.4308442920446396,
    0.42847082018852234,
    0.4131370931863785,
    0.40272195637226105,
    0.40891075134277344,
    0.45222267508506775,
    0.4805562049150467,
    0.473507896065712,
    0.44105538725852966,
    0.3829437494277954,
    0.33243538439273834,
    0.3069688379764557,
    0.2794191688299179,
    0.28477637469768524,
    0.31141041219234467,
    0.32930992543697357,
    0.32953663170337677,
    0.31150342524051666,
    0.3165283054113388,
    0.3115079402923584,
    0.3464967906475067,
    0.39485397934913635,
    0.4623548090457916,
    0.49730511009693146,
    0.5235143750905991,
    0.5162701308727264,
    0.5171466767787933,
    0.49740418791770935,
    0.458944708108902,
    0.4344877600669861,
    0.4483925998210907,
    0.4407404810190201,
    0.3947827070951462,
    0.38058239221572876,
    0.3508601039648056,
    0.3254733085632324,
    0.28391408920288086,
    0.2939019799232483,
    0.33505284786224365,
    0.39772090315818787,
    0.41731783747673035,
    0.40225568413734436,
    0.37482549250125885,
    0.335994690656662,
    0.31353889405727386,
    0.2875435948371887,
    0.27871476113796234,
    0.28403720259666443,
    0.2934345304965973,
    0.3126910477876663,
    0.3201354146003723,
    0.35962367057800293,
    0.36097434163093567,
    0.31809958815574646,
    0.2784406691789627,
    0.23863865435123444,
    0.23105855286121368,
    0.2311912477016449,
    0.2485417276620865,
    0.25554725527763367,
    0.31696560978889465,
    0.3838641047477722,
    0.45548710227012634,
    0.5285734236240387,
    0.6015474498271942,
    0.6071541607379913,
    0.5585132539272308,
    0.5314980298280716,
    0.49881330132484436,
    0.4381343573331833,
    0.3613789826631546,
    0.30176597833633423,
    0.255337119102478,
    0.2597850263118744,
    0.2400578111410141,
    0.252606526017189,
    0.2842651307582855,
    0.28934474289417267,
    0.28758975863456726,
    0.2985670566558838,
    0.3213917911052704,
    0.3269927203655243,
    0.3190680295228958,
    0.37375928461551666,
    0.40911637246608734,
    0.41897647082805634,
    0.43397383391857147,
    0.43145690858364105,
    0.37802575528621674,
    0.298482745885849,
    0.2573655843734741,
    0.22159796953201294,
    0.19059951603412628,
    0.19022849202156067,
    0.2439166158437729,
    0.27827729284763336,
    0.31154415011405945,
    0.37580324709415436,
    0.42290017008781433,
    0.42258378863334656,
    0.4038170874118805,
    0.39531145989894867,
    0.3682117462158203,
    0.339733824133873,
    0.33657968044281006,
    0.32935598492622375,
    0.33451445400714874,
    0.2902897596359253,
    0.21925868093967438,
    0.16167740523815155,
    0.1283757984638214,
    0.1243828684091568,
    0.14748239517211914,
    0.20252372324466705,
    0.2479221671819687,
    0.28652822971343994,
    0.3224947601556778,
    0.35612358152866364,
    0.3617464005947113,
    0.3525764048099518,
    0.332093745470047,
    0.29755423963069916,
    0.23628562688827515,
    0.2045561522245407,
    0.19219620525836945,
    0.21897689998149872,
    0.24856935441493988,
    0.29678861796855927,
    0.3725389689207077,
    0.41789525747299194,
    0.45347368717193604,
    0.4718376696109772,
    0.4684319645166397,
    0.4467099756002426,
    0.4181223064661026,
    0.41592712700366974,
    0.4104185551404953,
    0.3975044935941696,
    0.3868527263402939,
    0.38260434567928314,
    0.3452199846506119,
    0.30028873682022095,
    0.26490433514118195,
    0.24573694169521332,
    0.24295979738235474,
    0.23612764477729797,
    0.24723021686077118,
    0.30737267434597015,
    0.3484020531177521,
    0.3793596029281616,
    0.4343813359737396,
    0.47544442117214203,
    0.4617249071598053,
    0.390774205327034,
    0.3202296048402786,
    0.33546461164951324,
    0.3720984607934952,
    0.40209975838661194,
    0.4091886132955551,
    0.360357329249382,
    0.27899058163166046,
    0.23637773096561432,
    0.22867687046527863,
    0.2397708147764206,
    0.2336568534374237,
    0.2697618305683136,
    0.3492351323366165,
    0.4556773900985718,
    0.5346713364124298,
    0.5830645561218262,
    0.5869552940130234,
    0.5914937555789948,
    0.5576065331697464,
    0.4987003207206726,
    0.4362714886665344,
    0.3761122226715088,
    0.3122226595878601,
    0.27278444170951843,
    0.2375740110874176,
    0.20833632349967957,
    0.18751734495162964,
    0.20401304960250854,
    0.22522598505020142,
    0.2656884342432022,
    0.3093597739934921,
    0.3511340469121933,
    0.3690248131752014,
    0.3336663544178009,
    0.3111528009176254,
    0.29225093126296997,
    0.2729419469833374,
    0.24761833250522614,
    0.24761779606342316,
    0.2664357125759125,
    0.2834456115961075,
    0.25227339565753937,
    0.22957108914852142,
    0.22260773181915283,
    0.18575721979141235,
    0.16292834281921387,
    0.12494339048862457,
    0.11085031926631927,
    0.09836158156394958,
    0.09494362771511078,
    0.11526474356651306,
    0.15279297530651093,
    0.1820986270904541,
    0.2369864135980606,
    0.2570293992757797,
    0.22463367879390717,
    0.178146094083786,
    0.15190868079662323,
    0.16709265112876892,
    0.20495639741420746,
    0.24990910291671753,
    0.2670312076807022,
    0.27394402027130127,
    0.26459166407585144,
    0.2567076236009598,
    0.24423997104167938,
    0.25903095304965973,
    0.28717800974845886,
    0.30667324364185333,
    0.30367664992809296,
    0.2935453951358795,
    0.24284151196479797,
    0.1650800108909607,
    0.12971685826778412,
    0.09599554538726807,
    0.08778411149978638,
    0.1324480175971985,
    0.2000976949930191,
    0.25103308260440826,
    0.2642248570919037,
    0.31261977553367615,
    0.36542730033397675,
    0.39378488063812256,
    0.4056522846221924,
    0.37564605474472046,
    0.363211914896965,
    0.3329586088657379,
    0.3158567547798157,
    0.2859528809785843,
    0.2702500969171524,
    0.2670491486787796,
    0.26044707000255585,
    0.2639233022928238,
    0.2794855237007141,
    0.2705092132091522,
    0.2740604430437088,
    0.261748343706131,
    0.2329154908657074,
    0.20354311168193817,
    0.18806970119476318,
    0.17755651473999023,
    0.17881961166858673,
    0.1834554821252823,
    0.18260958790779114,
    0.21077750623226166,
    0.22668233513832092,
    0.2175668329000473,
    0.22284536063671112,
    0.25996993482112885,
    0.2783179134130478,
    0.2783992290496826,
    0.25188881158828735,
    0.24765436351299286,
    0.2514783889055252,
    0.2409527599811554,
    0.23338285088539124,
    0.2282201200723648,
    0.21416737139225006,
    0.19972823560237885,
    0.18848635256290436,
    0.17116299271583557,
    0.17898663878440857,
    0.20105664432048798,
    0.23785878717899323,
    0.25112178921699524,
    0.2528975158929825,
    0.2424764335155487,
    0.1924569308757782,
    0.15419749915599823,
    0.16121608018875122,
    0.19008630514144897,
    0.2602030336856842,
    0.31793496012687683,
    0.35042476654052734,
    0.3340909034013748,
    0.30402490496635437,
    0.29971209168434143,
    0.3157735615968704,
    0.32280221581459045,
    0.32166290283203125,
    0.32358400523662567,
    0.31085431575775146,
    0.28403861820697784,
    0.24711841344833374,
    0.1993636190891266,
    0.18151028454303741,
    0.16232316195964813,
    0.1448594033718109,
    0.17013877630233765,
    0.20568138360977173,
    0.24987384676933289,
    0.27405300736427307,
    0.27927398681640625,
    0.29383285343647003,
    0.3129524737596512,
    0.321572944521904,
    0.34718169271945953,
    0.36602990329265594,
    0.37316830456256866,
    0.3998918831348419,
    0.38315248489379883,
    0.35274140536785126,
    0.328226238489151,
    0.3066135048866272,
    0.2851364314556122,
    0.25365854799747467,
    0.21108059585094452,
    0.18783384561538696,
    0.1643657088279724,
    0.18515582382678986,
    0.24848446249961853,
    0.31419001519680023,
    0.3765013813972473,
    0.42736801505088806,
    0.43514518439769745,
    0.40761879086494446,
    0.3512786328792572,
    0.3377517908811569,
    0.3048744648694992,
    0.2923828512430191,
    0.2786368131637573,
    0.2804241180419922,
    0.2806342840194702,
    0.2552604526281357,
    0.2394530475139618,
    0.24699275195598602,
    0.26392753422260284,
    0.2755548357963562,
    0.2966594845056534,
    0.32876159250736237,
    0.38120800256729126,
    0.40030863881111145,
    0.4144699424505234,
    0.4341055154800415,
    0.46331679821014404,
    0.44382205605506897,
    0.4191741943359375,
    0.390639066696167,
    0.3493439853191376,
    0.2918044626712799,
    0.2703138291835785,
    0.28643012046813965,
    0.3236439526081085,
    0.3680556118488312,
    0.39122889935970306,
    0.4079967737197876,
    0.4340343773365021,
    0.4143965095281601,
    0.39231276512145996,
    0.37868787348270416,
    0.3906150460243225,
    0.4321140795946121,
    0.4825759381055832,
    0.5417219400405884,
    0.6228113025426865,
    0.6568264812231064,
    0.6472513824701309,
    0.641090527176857,
    0.5777622163295746,
    0.5003189742565155,
    0.43262724578380585,
    0.3857611417770386,
    0.35325875878334045,
    0.3361761122941971,
    0.36155422031879425,
    0.3729168176651001,
    0.39350077509880066,
    0.36578239500522614,
    0.3306201696395874,
    0.308232918381691,
    0.2914465218782425,
    0.2852569818496704,
    0.30084550380706787,
    0.3387511372566223,
    0.36871716380119324,
    0.3806372433900833,
    0.3616715967655182,
    0.33362534642219543,
    0.3193669617176056,
    0.3407820612192154,
    0.4035395383834839,
    0.4731866270303726,
    0.4709783345460892,
    0.4647212326526642,
    0.4343968778848648,
    0.40678468346595764,
    0.4042612612247467,
    0.42793484032154083,
    0.4014520198106766,
    0.35778211057186127,
    0.3671932816505432,
    0.39645829796791077,
    0.4002266973257065,
    0.42632126808166504,
    0.4724522829055786,
    0.5093490034341812,
    0.5480613857507706,
    0.5621315389871597,
    0.5269159227609634,
    0.4632735550403595,
    0.39319847524166107,
    0.3793192505836487,
    0.38659264147281647,
    0.4062012732028961,
    0.4383561462163925,
    0.4700111746788025,
    0.494431734085083,
    0.5185893476009369,
    0.4775778502225876,
    0.4585404545068741,
    0.4227572977542877,
    0.37768854200839996,
    0.34457923471927643,
    0.3176129311323166,
    0.27812421321868896,
    0.2508920580148697,
    0.2415931224822998,
    0.23411719501018524,
    0.3136467933654785,
    0.40626896917819977,
    0.4646162688732147,
    0.467987522482872,
    0.49406902492046356,
    0.4731116443872452,
    0.432396337389946,
    0.3842850923538208,
    0.3663841485977173,
    0.35880596935749054,
    0.34166041016578674,
    0.34047719836235046,
    0.3514579236507416,
    0.35829900205135345,
    0.36102935671806335,
    0.3570711761713028,
    0.3697914481163025,
    0.39112553000450134,
    0.3907681852579117,
    0.37106694281101227,
    0.35220496356487274,
    0.3465990871191025,
    0.3447128087282181,
    0.3434176445007324,
    0.3386431187391281,
    0.3139435052871704,
    0.2897149324417114,
    0.28438642621040344,
    0.2624008059501648,
    0.2214604616165161,
    0.2107463777065277,
    0.1974353939294815,
    0.18665602803230286,
    0.15232045948505402,
    0.13855190575122833,
    0.15404199063777924,
    0.19665540754795074,
    0.24920114874839783,
    0.2945616543292999,
    0.32778143882751465,
    0.3844948410987854,
    0.45678652822971344,
    0.5027004182338715,
    0.5553589016199112,
    0.5883279144763947,
    0.603213295340538,
    0.560238242149353,
    0.5141916126012802,
    0.5010662525892258,
    0.5141648799180984,
    0.5226757675409317,
    0.49134552478790283,
    0.43913979828357697,
    0.40800929069519043,
    0.349810391664505,
    0.3065638244152069,
    0.31890395283699036,
    0.350543737411499,
    0.373320609331131,
    0.3752288669347763,
    0.4455339312553406,
    0.5068651139736176,
    0.5599527657032013,
    0.585548460483551,
    0.5783841013908386,
    0.6099147796630859,
    0.6581181734800339,
    0.6702678203582764,
    0.6837464570999146,
    0.6373332440853119,
    0.6095730513334274,
    0.5681255459785461,
    0.5440676212310791,
    0.5249547511339188,
    0.48389916121959686,
    0.42907091975212097,
    0.36907432973384857,
    0.33352436125278473,
    0.2627084255218506,
    0.2364683747291565,
    0.22654564678668976,
    0.25176267325878143,
    0.29216280579566956,
    0.3342001289129257,
    0.3666229546070099,
    0.40392808616161346,
    0.4568883180618286,
    0.4791404902935028,
    0.4850890785455704,
    0.46343204379081726,
    0.4244479238986969,
    0.36754484474658966,
    0.32253991067409515,
    0.3057408779859543,
    0.31025515496730804,
    0.33262521028518677,
    0.38704514503479004,
    0.43495769798755646,
    0.4697040319442749,
    0.46036389470100403,
    0.48192402720451355,
    0.494682639837265,
    0.4912610352039337,
    0.48256073892116547,
    0.4922778010368347,
    0.4972231239080429,
    0.5037914514541626,
    0.5249795913696289,
    0.5559772700071335,
    0.556968480348587,
    0.5639269649982452,
    0.5441838651895523,
    0.5219686329364777,
    0.5112966895103455,
    0.5087358504533768,
    0.49704840779304504,
    0.48128223419189453,
    0.459063395857811,
    0.45953941345214844,
    0.4475196599960327,
    0.4348415434360504,
    0.43767446279525757,
    0.4451766312122345,
    0.4781649559736252,
    0.5197351276874542,
    0.5454602837562561,
    0.521720826625824,
    0.49662455916404724,
    0.4456533193588257,
    0.40677978098392487,
    0.3601628690958023,
    0.3470774292945862,
    0.37174177169799805,
    0.4071323424577713,
    0.4581364840269089,
    0.4903458505868912,
    0.48407165706157684,
    0.49379968643188477,
    0.4378999024629593,
    0.3510475605726242,
    0.31496067345142365,
    0.2846212238073349,
    0.26092179119586945,
    0.28947940468788147,
    0.35550357401371,
    0.3808698505163193,
    0.39369969069957733,
    0.4013323485851288,
    0.37797389924526215,
    0.3682604879140854,
    0.36026717722415924,
    0.3662179261445999,
    0.35113389790058136,
    0.3386780172586441,
    0.35336969792842865,
    0.3810480237007141,
    0.3946116417646408,
    0.39646345376968384,
    0.38777022063732147,
    0.3952920585870743,
    0.39664991199970245,
    0.43982774019241333,
    0.47572794556617737,
    0.5090545266866684,
    0.4892273396253586,
    0.41545893251895905,
    0.3940959572792053,
    0.3554820269346237,
    0.3342342674732208,
    0.33179761469364166,
    0.33345866203308105,
    0.3654588758945465,
    0.44781593978405,
    0.5312319546937943,
    0.5502273738384247,
    0.5227886885404587,
    0.49714723229408264,
    0.4930449575185776,
    0.49757392704486847,
    0.47548535466194153,
    0.4277590662240982,
    0.4038473516702652,
    0.3992985934019089,
    0.40711450576782227,
    0.35691705346107483,
    0.3160853236913681,
    0.2879844009876251,
    0.27622494101524353,
    0.2865399271249771,
    0.29909832775592804,
    0.33532877266407013,
    0.341720312833786,
    0.3566662520170212,
    0.39876656234264374,
    0.4563432037830353,
    0.5021752566099167,
    0.5247988253831863,
    0.49283744394779205,
    0.43012548983097076,
    0.33891142904758453,
    0.3066171109676361,
    0.27658866345882416,
    0.2576303035020828,
    0.25095778703689575,
    0.2752256989479065,
    0.3219156116247177,
    0.3631663918495178,
    0.3879902958869934,
    0.4001995474100113,
    0.4031483978033066,
    0.42107705771923065,
    0.4023497998714447,
    0.3941569924354553,
    0.41451285779476166,
    0.4479191452264786,
    0.4973145127296448,
    0.524002730846405,
    0.5310283005237579,
    0.5195871740579605,
    0.48355428874492645,
    0.4383171796798706,
    0.41266800463199615,
    0.3766103982925415,
    0.34608180820941925,
    0.4143090546131134,
    0.4873529225587845,
    0.5482510626316071,
    0.5691234469413757,
    0.5763736665248871,
    0.5617255717515945,
    0.5259474217891693,
    0.4703737199306488,
    0.38458190858364105,
    0.31390805542469025,
    0.26173464953899384,
    0.22973349690437317,
    0.23749645054340363,
    0.26817820966243744,
    0.3178279250860214,
    0.3801708519458771,
    0.44233132898807526,
    0.47155313193798065,
    0.46127380430698395,
    0.4162246882915497,
    0.36612334847450256,
    0.3216160833835602,
    0.306546151638031,
    0.297051340341568,
    0.278480589389801,
    0.27163706719875336,
    0.2607465833425522,
    0.26962587237358093,
    0.2859736382961273,
    0.33853180706501007,
    0.39756540954113007,
    0.42439156770706177,
    0.38758599758148193,
    0.34493498504161835,
    0.32416051626205444,
    0.3267989009618759,
    0.3135219067335129,
    0.27336642146110535,
    0.27469272911548615,
    0.28469984233379364,
    0.29433806240558624,
    0.2862553149461746,
    0.2892376482486725,
    0.2870900481939316,
    0.27905525267124176,
    0.25773827731609344,
    0.23009824752807617,
    0.23286481201648712,
    0.2664506286382675,
    0.3133862465620041,
    0.32074911892414093,
    0.30719155073165894,
    0.31515373289585114,
    0.32344724237918854,
    0.30642738938331604,
    0.3127417713403702,
    0.32398979365825653,
    0.3304457813501358,
    0.3515951782464981,
    0.3727038502693176,
    0.42809799313545227,
    0.4331248253583908,
    0.3622032403945923,
    0.32540231943130493,
    0.3001890033483505,
    0.310259148478508,
    0.3426838368177414,
    0.3806250989437103,
    0.41692085564136505,
    0.45909567177295685,
    0.47064849734306335,
    0.4672708362340927,
    0.45283977687358856,
    0.43826723098754883,
    0.41387028992176056,
    0.40292224287986755,
    0.38109976053237915,
    0.38273994624614716,
    0.40152309834957123,
    0.41999290883541107,
    0.39304278790950775,
    0.3939830809831619,
    0.3814910054206848,
    0.3555203378200531,
    0.3491205871105194,
    0.37308457493782043,
    0.41587282717227936,
    0.46587882936000824,
    0.49119730293750763,
    0.5118336230516434,
    0.5104518830776215,
    0.46219924092292786,
    0.4091446101665497,
    0.38916437327861786,
    0.3584791421890259,
    0.33743903040885925,
    0.3195626437664032,
    0.31578245759010315,
    0.3032853454351425,
    0.3240170478820801,
    0.32300472259521484,
    0.3249620348215103,
    0.31943634152412415,
    0.32380935549736023,
    0.32624953985214233,
    0.3077123910188675,
    0.3036046028137207,
    0.32196110486984253,
    0.3488240987062454,
    0.409273624420166,
    0.46483252942562103,
    0.5244982987642288,
    0.5469137877225876,
    0.5143717676401138,
    0.510932669043541,
    0.5159741044044495,
    0.552633598446846,
    0.5877221673727036,
    0.5939524322748184,
    0.6281091868877411,
    0.6730797737836838,
    0.6519572287797928,
    0.5585588216781616,
    0.45266395807266235,
    0.34831415116786957,
    0.24992132186889648,
    0.19947916269302368,
    0.1873680204153061,
    0.24862544238567352,
    0.3457971513271332,
    0.45760615170001984,
    0.5486167222261429,
    0.6007360368967056,
    0.6391545981168747,
    0.6204692274332047,
    0.5924875289201736,
    0.5456667393445969,
    0.491833820939064,
    0.428639218211174,
    0.3670893609523773,
    0.30434589087963104,
    0.27157069742679596,
    0.2950768768787384,
    0.34898151457309723,
    0.38121260702610016,
    0.39525990188121796,
    0.4203742742538452,
    0.447988361120224,
    0.4648008793592453,
    0.44634251296520233,
    0.40012407302856445,
    0.3592158555984497,
    0.30636776983737946,
    0.26425430178642273,
    0.25357969105243683,
    0.23209118843078613,
    0.2367023527622223,
    0.2728582173585892,
    0.3190945237874985,
    0.38988150656223297,
    0.44960761070251465,
    0.49027226865291595,
    0.5072096884250641,
    0.48067767918109894,
    0.4225103110074997,
    0.3823401778936386,
    0.3856648653745651,
    0.3820101171731949,
    0.41505905985832214,
    0.46951644122600555,
    0.5211420357227325,
    0.5033552795648575,
    0.4904065579175949,
    0.516476109623909,
    0.5368968397378922,
    0.5414989292621613,
    0.5261554270982742,
    0.5389873534440994,
    0.5418994426727295,
    0.5680663287639618,
    0.5496401637792587,
    0.5055221170186996,
    0.4860607236623764,
    0.463406965136528,
    0.4505207687616348,
    0.45708534121513367,
    0.48667749762535095,
    0.49492397904396057,
    0.528024286031723,
    0.5117960274219513,
    0.44229573011398315,
    0.35837365686893463,
    0.3423830270767212,
    0.342820942401886,
    0.3871559798717499,
    0.43624281883239746,
    0.49321241676807404,
    0.5724173784255981,
    0.6274614632129669,
    0.6248966455459595,
    0.5918629616498947,
    0.4950816184282303,
    0.37531647086143494,
    0.27360832691192627,
    0.24867528676986694,
    0.24582123756408691,
    0.24363911151885986,
    0.2600492686033249,
    0.30495692789554596,
    0.38123078644275665,
    0.4593542516231537,
    0.5276974737644196,
    0.5760942995548248,
    0.5810766220092773,
    0.5416764318943024,
    0.5034008026123047,
    0.477108895778656,
    0.4798892140388489,
    0.44838277995586395,
    0.43075142800807953,
    0.4610949009656906,
    0.4886326938867569,
    0.4636164754629135,
    0.438627228140831,
    0.4359031766653061,
    0.41762204468250275,
    0.3590138256549835,
    0.2821914404630661,
    0.2836374491453171,
    0.3392295241355896,
    0.41824427247047424,
    0.5041643232107162,
    0.5649287700653076,
    0.5941930264234543,
    0.5878320783376694,
    0.582026332616806,
    0.5367881953716278,
    0.48396092653274536,
    0.4498768746852875,
    0.4185723811388016,
    0.40080104768276215,
    0.4022514969110489,
    0.4128832072019577,
    0.4079844206571579,
    0.3894805461168289,
    0.35554590821266174,
    0.33643218874931335,
    0.32970544695854187,
    0.3254210203886032,
    0.32490867376327515,
    0.3238082230091095,
    0.3287108838558197,
    0.3303239792585373,
    0.35142673552036285,
    0.41242121160030365,
    0.4448848068714142,
    0.44974803924560547,
    0.4222245216369629,
    0.3846970647573471,
    0.36407023668289185,
    0.30453477799892426,
    0.24311770498752594,
    0.197138711810112,
    0.1851491630077362,
    0.19014444947242737,
    0.2101675570011139,
    0.2779223620891571,
    0.34248362481594086,
    0.4210527092218399,
    0.47492270171642303,
    0.5014620125293732,
    0.513619676232338,
    0.5066901445388794,
    0.489977166056633,
    0.45398862659931183,
    0.39051319658756256,
    0.3237004429101944,
    0.2924979478120804,
    0.293144553899765,
    0.2794605642557144,
    0.28855255246162415,
    0.27132001519203186,
    0.24425669014453888,
    0.251845121383667,
    0.2749466150999069,
    0.3222607970237732,
    0.40408436954021454,
    0.4733601361513138,
    0.5324168801307678,
    0.5506907105445862,
    0.5268050581216812,
    0.5047633200883865,
    0.4575751721858978,
    0.4151681661605835,
    0.4125683605670929,
    0.4224501997232437,
    0.4260209798812866,
    0.45298196375370026,
    0.47765421867370605,
    0.5038789212703705,
    0.5258888751268387,
    0.5186319351196289,
    0.4565550982952118,
    0.39069797098636627,
    0.3512561470270157,
    0.34377484023571014,
    0.3295089900493622,
    0.3337171822786331,
    0.38114167749881744,
    0.43360061943531036,
    0.4616946876049042,
    0.46966908872127533,
    0.49412401020526886,
    0.4727012515068054,
    0.42460598051548004,
    0.3633726090192795,
    0.3347250074148178,
    0.36969198286533356,
    0.4195645749568939,
    0.4455193728208542,
    0.4449235796928406,
    0.4126085788011551,
    0.3969832956790924,
    0.4053306430578232,
    0.41173702478408813,
    0.418373703956604,
    0.4609350264072418,
    0.5246720612049103,
    0.5782789587974548,
    0.6086326539516449,
    0.6290642768144608,
    0.6163056641817093,
    0.6012108772993088,
    0.5979613959789276,
    0.5516621470451355,
    0.5178738981485367,
    0.5470584630966187,
    0.5413534790277481,
    0.5121795535087585,
    0.47477415204048157,
    0.47425025701522827,
    0.4374772608280182,
    0.35930095613002777,
    0.32435476779937744,
    0.33328959345817566,
    0.35729147493839264,
    0.40152156352996826,
    0.4553721994161606,
    0.5605539232492447,
    0.6024461686611176,
    0.5930357128381729,
    0.5625980645418167,
    0.5540852248668671,
    0.48966704308986664,
    0.4729016572237015,
    0.45258593559265137,
    0.44129715859889984,
    0.39906762540340424,
    0.3590215891599655,
    0.3641090840101242,
    0.34083275496959686,
    0.31811894476413727,
    0.31421345472335815,
    0.36566510796546936,
    0.3739453852176666,
    0.37829941511154175,
    0.34676556289196014,
    0.3510937839746475,
    0.36320164799690247,
    0.40378211438655853,
    0.4292396754026413,
    0.4565334618091583,
    0.4554793983697891,
    0.452293798327446,
    0.45953601598739624,
    0.4728081226348877,
    0.46703775227069855,
    0.4116343706846237,
    0.32659271359443665,
    0.25539399683475494,
    0.21424946188926697,
    0.19171284139156342,
    0.20432806015014648,
    0.2367076277732849,
    0.29226459562778473,
    0.3647228628396988,
    0.41376006603240967,
    0.42979010939598083,
    0.4272618442773819,
    0.4274440109729767,
    0.39958375692367554,
    0.3187193125486374,
    0.2418138086795807,
    0.20803891122341156,
    0.1958370804786682,
    0.19933627545833588,
    0.23015989363193512,
    0.2831405699253082,
    0.3519132137298584,
    0.44406644999980927,
    0.5062643140554428,
    0.5392313450574875,
    0.558889165520668,
    0.558387041091919,
    0.539307177066803,
    0.5283011794090271,
    0.49542468786239624,
    0.4623469263315201,
    0.4283995032310486,
    0.3743026852607727,
    0.3183508813381195,
    0.23246464133262634,
    0.14590463042259216,
    0.09574589133262634,
    0.07047533988952637,
    0.09511613845825195,
    0.1341896951198578,
    0.15820403397083282,
    0.19377723336219788,
    0.23827388882637024,
    0.25638140738010406,
    0.27047106623649597,
    0.28470948338508606,
    0.2983403354883194,
    0.30036839842796326,
    0.2869553864002228,
    0.3034456819295883,
    0.2898288518190384,
    0.2677740305662155,
    0.23680813610553741,
    0.24687519669532776,
    0.264371320605278,
    0.25590141117572784,
    0.25289803743362427,
    0.26618099212646484,
    0.30672354996204376,
    0.3590742498636246,
    0.4206405133008957,
    0.47844398021698,
    0.5077492594718933,
    0.45769743621349335,
    0.401445135474205,
    0.34154316782951355,
    0.26944027841091156,
    0.2219749391078949,
    0.21636269986629486,
    0.22496914863586426,
    0.25512897968292236,
    0.23896493017673492,
    0.22848817706108093,
    0.21047306060791016,
    0.2220727503299713,
    0.22900789976119995,
    0.21417756378650665,
    0.23283232748508453,
    0.23280833661556244,
    0.23171351850032806,
    0.23002733290195465,
    0.23679395020008087,
    0.27500303089618683,
    0.2835495322942734,
    0.2629508972167969,
    0.2503769099712372,
    0.27554525434970856,
    0.34650255739688873,
    0.41252401471138,
    0.4738975912332535,
    0.5180331170558929,
    0.5350328832864761,
    0.5055224001407623,
    0.498652920126915,
    0.44821757078170776,
    0.3794190287590027,
    0.3190678209066391,
    0.2805648595094681,
    0.24216686189174652,
    0.23593731224536896,
    0.2391190379858017,
    0.2788812816143036,
    0.29123981297016144,
    0.2608788311481476,
    0.22145704925060272,
    0.21519999206066132,
    0.24218091368675232,
    0.252708837389946,
    0.28451843559741974,
    0.32502830028533936,
    0.363145187497139,
    0.3965061902999878,
    0.4121219366788864,
    0.438282772898674,
    0.4543982744216919,
    0.4448806196451187,
    0.4460088759660721,
    0.47471168637275696,
    0.45464347302913666,
    0.42828163504600525,
    0.38913506269454956,
    0.3554685711860657,
    0.3659473806619644,
    0.35221920907497406,
    0.3511195778846741,
    0.32649965584278107,
    0.33027879893779755,
    0.338173046708107,
    0.34769004583358765,
    0.3478803038597107,
    0.34353233873844147,
    0.3547573387622833,
    0.3777011036872864,
    0.3937535136938095,
    0.41070377826690674,
    0.4224250167608261,
    0.42466138303279877,
    0.42101186513900757,
    0.3956642895936966,
    0.3514258414506912,
    0.3167566806077957,
    0.3154236674308777,
    0.38478338718414307,
    0.45868153870105743,
    0.49595077335834503,
    0.43910472095012665,
    0.3861345648765564,
    0.3165513575077057,
    0.2777811586856842,
    0.2710641771554947,
    0.30449531972408295,
    0.3438756465911865,
    0.3602187931537628,
    0.3947219103574753,
    0.42085544764995575,
    0.4059436321258545,
    0.37180295586586,
    0.3896292597055435,
    0.3903288394212723,
    0.37032003700733185,
    0.33584411442279816,
    0.3208773136138916,
    0.303109347820282,
    0.2721773535013199,
    0.2231081873178482,
    0.1801684945821762,
    0.15869596600532532,
    0.1599450707435608,
    0.19832304120063782,
    0.2685500681400299,
    0.3240675628185272,
    0.32820582389831543,
    0.33265794813632965,
    0.30121201276779175,
    0.2966584712266922,
    0.2808229625225067,
    0.27192123234272003,
    0.2886522263288498,
    0.2894984930753708,
    0.29567450284957886,
    0.3181926757097244,
    0.35405153036117554,
    0.38141265511512756,
    0.38500119745731354,
    0.36838461458683014,
    0.3391488492488861,
    0.35491785407066345,
    0.3435802012681961,
    0.3462126553058624,
    0.3457714468240738,
    0.35419611632823944,
    0.37260253727436066,
    0.3758447617292404,
    0.39881956577301025,
    0.43464185297489166,
    0.4465670585632324,
    0.4385886788368225,
    0.4519871920347214,
    0.5015853494405746,
    0.49517209827899933,
    0.4627755135297775,
    0.44298532605171204,
    0.45858047902584076,
    0.4619515985250473,
    0.43805254995822906,
    0.4110995978116989,
    0.3911742568016052,
    0.39536575973033905,
    0.3263770192861557,
    0.29579688608646393,
    0.2744262367486954,
    0.29548461735248566,
    0.33436319231987,
    0.3866780251264572,
    0.46208807826042175,
    0.48722125589847565,
    0.49487192928791046,
    0.5029521435499191,
    0.5236743092536926,
    0.5001817345619202,
    0.43025095760822296,
    0.3245351165533066,
    0.22636842727661133,
    0.17236469686031342,
    0.13700126111507416,
    0.13589946925640106,
    0.16412465274333954,
    0.2086276262998581,
    0.2539133280515671,
    0.24656279385089874,
    0.24099045991897583,
    0.23695459961891174,
    0.2516030967235565,
    0.30492939054965973,
    0.3568003624677658,
    0.38080592453479767,
    0.3725690096616745,
    0.3728438764810562,
    0.34998831152915955,
    0.3183683007955551,
    0.2942863404750824,
    0.26504214107990265,
    0.2827698737382889,
    0.32050953805446625,
    0.3723943382501602,
    0.4470401108264923,
    0.5139978677034378,
    0.5375469475984573,
    0.5365713834762573,
    0.4929361194372177,
    0.44459863007068634,
    0.37536750733852386,
    0.27902863919734955,
    0.19173356890678406,
    0.2142798751592636,
    0.26455725729465485,
    0.33048368990421295,
    0.3869018107652664,
    0.4562935084104538,
    0.5103321671485901,
    0.49262861907482147,
    0.4706977307796478,
    0.4293908476829529,
    0.3957846164703369,
    0.36612483859062195,
    0.37232956290245056,
    0.39874811470508575,
    0.426180824637413,
    0.4560079723596573,
    0.4551868736743927,
    0.45851872861385345,
    0.44193702936172485,
    0.40881791710853577,
    0.3327846974134445,
    0.2516978532075882,
    0.21558645367622375,
    0.19161348044872284,
    0.18011118471622467,
    0.18948553502559662,
    0.2136978954076767,
    0.23505552113056183,
    0.23822012543678284,
    0.24441592395305634,
    0.27774757146835327,
    0.300475537776947,
    0.36345532536506653,
    0.44536615908145905,
    0.513925775885582,
    0.5274852812290192,
    0.5146267861127853,
    0.4612331688404083,
    0.41978640854358673,
    0.3639422655105591,
    0.2871890068054199,
    0.2167416214942932,
    0.1610349863767624,
    0.14494192600250244,
    0.12561073899269104,
    0.11193585395812988,
    0.11069807410240173,
    0.1452193558216095,
    0.167982816696167,
    0.19268293678760529,
    0.2479453980922699,
    0.31932233273983,
    0.3493069261312485,
    0.3764844983816147,
    0.3657550811767578,
    0.3622135668992996,
    0.3552794009447098,
    0.3506682515144348,
    0.3516908138990402,
    0.3616291284561157,
    0.37535691261291504,
    0.34743334352970123,
    0.31555795669555664,
    0.28757601976394653,
    0.2652561813592911,
    0.24613861739635468,
    0.2568274587392807,
    0.2714793384075165,
    0.3052822947502136,
    0.3351789265871048,
    0.3681575655937195,
    0.3776964098215103,
    0.35334084928035736,
    0.3560919165611267,
    0.36487098038196564,
    0.3688483089208603,
    0.3696589320898056,
    0.3360258936882019,
    0.2623923271894455,
    0.219367116689682,
    0.18855197727680206,
    0.18396557867527008,
    0.1607457846403122,
    0.12846137583255768,
    0.11118379235267639,
    0.12213873863220215,
    0.13327333331108093,
    0.15193192660808563,
    0.18208838999271393,
    0.24641485512256622,
    0.3075087070465088,
    0.3517400175333023,
    0.4067595899105072,
    0.44024623930454254,
    0.4689657837152481,
    0.44852669537067413,
    0.4180748611688614,
    0.3692520409822464,
    0.32972733676433563,
    0.29450707137584686,
    0.2873951345682144,
    0.2853796184062958,
    0.22732752561569214,
    0.17451998591423035,
    0.14939220249652863,
    0.1604003757238388,
    0.19248557090759277,
    0.21858200430870056,
    0.2521999329328537,
    0.3142324239015579,
    0.37747207283973694,
    0.43831539154052734,
    0.4900127053260803,
    0.532221719622612,
    0.5683435499668121,
    0.634491577744484,
    0.6659730225801468,
    0.6496179699897766,
    0.5756704360246658,
    0.4634038209915161,
    0.39880169928073883,
    0.3443824499845505,
    0.33744607865810394,
    0.31147152185440063,
    0.3232786953449249,
    0.3783857375383377,
    0.43513740599155426,
    0.44494473934173584,
    0.45261815190315247,
    0.44695189595222473,
    0.4179545044898987,
    0.372249037027359,
    0.2962152808904648,
    0.207472562789917,
    0.11449842154979706,
    0.06565634906291962,
    0.03480611741542816,
    0.033308446407318115,
    0.051725104451179504,
    0.12188339233398438,
    0.23138907551765442,
    0.3224419057369232,
    0.36179135739803314,
    0.3388582915067673,
    0.3134044408798218,
    0.2767972946166992,
    0.2680715173482895,
    0.27312059700489044,
    0.3027910441160202,
    0.32704339921474457,
    0.34342652559280396,
    0.3260621130466461,
    0.28759436309337616,
    0.23563307523727417,
    0.22290083765983582,
    0.24000662565231323,
    0.27478593587875366,
    0.322894886136055,
    0.3822564035654068,
    0.42989714443683624,
    0.42116352915763855,
    0.3730284571647644,
    0.31235142052173615,
    0.29149411618709564,
    0.253970667719841,
    0.20659728348255157,
    0.18100319802761078,
    0.20276598632335663,
    0.23490756750106812,
    0.27186858654022217,
    0.32707223296165466,
    0.4073402136564255,
    0.458687961101532,
    0.45278094708919525,
    0.45983780920505524,
    0.4142414927482605,
    0.40155844390392303,
    0.38608959317207336,
    0.40642181038856506,
    0.45350709557533264,
    0.5567752420902252,
    0.6726988404989243,
    0.744000107049942,
    0.7645172029733658,
    0.763897031545639,
    0.7350759953260422,
    0.6876692920923233,
    0.5803556591272354,
    0.4492208808660507,
    0.38145045936107635,
    0.33667948842048645,
    0.33412422239780426,
    0.3657926619052887,
    0.4079001545906067,
    0.4406396746635437,
    0.4811688959598541,
    0.500640407204628,
    0.5061474591493607,
    0.49943840503692627,
    0.46819713711738586,
    0.42738252878189087,
    0.375261515378952,
    0.36858367919921875,
    0.3704273998737335,
    0.3553345203399658,
    0.33528007566928864,
    0.31807176768779755,
    0.3131147623062134,
    0.3514704406261444,
    0.37695634365081787,
    0.3819751888513565,
    0.36614979803562164,
    0.36342698335647583,
    0.3631175756454468,
    0.3148403465747833,
    0.2709176540374756,
    0.23936481773853302,
    0.23782558739185333,
    0.23344478011131287,
    0.24818037450313568,
    0.2737842798233032,
    0.2980656027793884,
    0.31426678597927094,
    0.3148423135280609,
    0.30176812410354614,
    0.29004766047000885,
    0.2548981159925461,
    0.2546600103378296,
    0.26156085729599,
    0.2440798133611679,
    0.21185949444770813,
    0.21012896299362183,
    0.22010520100593567,
    0.22874997556209564,
    0.2559162378311157,
    0.30517370998859406,
    0.3202398419380188,
    0.319171205163002,
    0.328260138630867,
    0.3454023599624634,
    0.32447846233844757,
    0.3053611069917679,
    0.27577127516269684,
    0.2554353177547455,
    0.20590341091156006,
    0.17153368890285492,
    0.16263937950134277,
    0.18700794875621796,
    0.19659613072872162,
    0.21746568381786346,
    0.27419838309288025,
    0.353098601102829,
    0.4218815714120865,
    0.492055207490921,
    0.5278238356113434,
    0.5544146448373795,
    0.5442084968090057,
    0.5046995431184769,
    0.44669583439826965,
    0.3855041116476059,
    0.3397950828075409,
    0.2947097569704056,
    0.27504636347293854,
    0.30275605618953705,
    0.34386976063251495,
    0.3855092376470566,
    0.40043018758296967,
    0.3972649574279785,
    0.410137876868248,
    0.42341916263103485,
    0.4443162530660629,
    0.4372696578502655,
    0.42493008077144623,
    0.42378319799900055,
    0.4553278386592865,
    0.46612319350242615,
    0.45616504549980164,
    0.42348402738571167,
    0.37217411398887634,
    0.31717216968536377,
    0.28415951132774353,
    0.27236640453338623,
    0.2790907174348831,
    0.2948128581047058,
    0.30875858664512634,
    0.33968034386634827,
    0.3759329915046692,
    0.39565253257751465,
    0.38346120715141296,
    0.38232962787151337
  ],
  "sheet": [
    0.3105723261833191,
    0.3010562062263489,
    0.2317245602607727,
    0.129463791847229,
    0.08021676540374756,
    0.11967432498931885,
    0.18669477105140686,
    0.27572065591812134,
    0.3626669645309448,
    0.4120813012123108,
    0.3593505024909973,
    0.2760162353515625,
    0.18334242701530457,
    0.10374441742897034,
    0.11717170476913452,
    0.19806411862373352,
    0.27294474840164185,
    0.3289748728275299,
    0.3898196816444397,
    0.4529462456703186,
    0.4406280219554901,
    0.3653513789176941,
    0.31676140427589417,
    0.256282314658165,
    0.23314304649829865,
    0.22403399646282196,
    0.25319525599479675,
    0.3217335343360901,
    0.3880888521671295,
    0.4325149804353714,
    0.47588981688022614,
    0.508610799908638,
    0.48591092228889465,
    0.37070271372795105,
    0.24903079867362976,
    0.14645813405513763,
    0.09797602891921997,
    0.07422500848770142,
    0.06341451406478882,
    0.07820263504981995,
    0.14612583816051483,
    0.20643635094165802,
    0.2635047137737274,
    0.3311138302087784,
    0.4005972146987915,
    0.42612017691135406,
    0.4072919934988022,
    0.3842736631631851,
    0.3426385521888733,
    0.3187198340892792,
    0.2881630063056946,
    0.26509661972522736,
    0.2561728358268738,
    0.22917498648166656,
    0.18748588860034943,
    0.1537393182516098,
    0.1798175424337387,
    0.24464382231235504,
    0.33332954347133636,
    0.4384267032146454,
    0.5211498886346817,
    0.5429652780294418,
    0.4829369783401489,
    0.45690546929836273,
    0.4121006578207016,
    0.3307088017463684,
    0.22938023507595062,
    0.1339750438928604,
    0.09950026869773865,
    0.1389598399400711,
    0.18370944261550903,
    0.26031066477298737,
    0.37037207186222076,
    0.4673188030719757,
    0.4907451570034027,
    0.45175227522850037,
    0.3644872307777405,
    0.25017961859703064,
    0.12466990947723389,
    0.11028632521629333,
    0.1516360342502594,
    0.19086913764476776,
    0.20378509163856506,
    0.22820980846881866,
    0.2642487585544586,
    0.2675815373659134,
    0.2615591287612915,
    0.25604014098644257,
    0.2579062879085541,
    0.23417720198631287,
    0.1976831555366516,
    0.18034765124320984,
    0.2187679409980774,
    0.2066228687763214,
    0.1829577088356018,
    0.14209501445293427,
    0.10422147810459137,
    0.08348032832145691,
    0.0646616667509079,
    0.07017503678798676,
    0.08037081360816956,
    0.16372010111808777,
    0.23762483894824982,
    0.3198225349187851,
    0.38921959698200226,
    0.4117957204580307,
    0.34635861217975616,
    0.27834171056747437,
    0.16718927025794983,
    0.08831891417503357,
    -0.011798128485679626,
    -0.06110696494579315,
    0.012853994965553284,
    0.1059008240699768,
    0.18220891058444977,
    0.21958300471305847,
    0.23075717687606812,
    0.23138712346553802,
    0.24094916880130768,
    0.25371164083480835,
    0.23240001499652863,
    0.2208693027496338,
    0.2581756114959717,
    0.29676395654678345,
    0.3220733404159546,
    0.320406898856163,
    0.3035334050655365,
    0.2369818389415741,
    0.16372868418693542,
    0.10297496616840363,
    0.09365129470825195,
    0.10556593537330627,
    0.140233114361763,
    0.1528487205505371,
    0.13043248653411865,
    0.16063261032104492,
    0.1575649231672287,
    0.1936076432466507,
    0.2216206192970276,
    0.23171555995941162,
    0.23399406671524048,
    0.19072408974170685,
    0.13474950194358826,
    0.07793621718883514,
    0.04852311313152313,
    0.04351530969142914,
    0.06337738037109375,
    0.07092215120792389,
    0.06616620719432831,
    0.10762631893157959,
    0.14458820223808289,
    0.19595444202423096,
    0.19552649557590485,
    0.1583179384469986,
    0.09716944396495819,
    0.05404236912727356,
    0.01404610276222229,
    0.03457871079444885,
    0.09501631557941437,
    0.21937933564186096,
    0.34030404686927795,
    0.35308897495269775,
    0.30291907489299774,
    0.24789799749851227,
    0.17696522176265717,
    0.13617347180843353,
    0.11135609447956085,
    0.11424621939659119,
    0.15070557594299316,
    0.17857280373573303,
    0.2176724374294281,
    0.2723836898803711,
    0.3074040412902832,
    0.37435607612133026,
    0.4434620589017868,
    0.4553931951522827,
    0.4311050921678543,
    0.4153030514717102,
    0.3973906338214874,
    0.41321001946926117,
    0.46391522884368896,
    0.521161288022995,
    0.5944066643714905,
    0.6555219888687134,
    0.6125519871711731,
    0.5296880304813385,
    0.43555890023708344,
    0.3564176559448242,
    0.306638166308403,
    0.3193127065896988,
    0.393354132771492,
    0.4425674378871918,
    0.4627690613269806,
    0.3993378281593323,
    0.33812353014945984,
    0.30439379811286926,
    0.2887629419565201,
    0.33593013882637024,
    0.3960168957710266,
    0.4720747470855713,
    0.4613935202360153,
    0.37936872243881226,
    0.2777874320745468,
    0.1816336065530777,
    0.10157325863838196,
    0.08208669722080231,
    0.09940169751644135,
    0.14142601191997528,
    0.17322750389575958,
    0.19960395991802216,
    0.2393721044063568,
    0.29286274313926697,
    0.31921279430389404,
    0.3423164188861847,
    0.3609835356473923,
    0.42531903088092804,
    0.4169052243232727,
    0.359703466296196,
    0.2931957393884659,
    0.23721209168434143,
    0.2081719934940338,
    0.1928064078092575,
    0.2104320228099823,
    0.2463838756084442,
    0.2377147078514099,
    0.20321670174598694,
    0.1706179529428482,
    0.17695453763008118,
    0.16503702104091644,
    0.1334088146686554,
    0.12707769870758057,
    0.19314342737197876,
    0.34752801060676575,
    0.5224724113941193,
    0.624089315533638,
    0.644048273563385,
    0.5591622442007065,
    0.44179558753967285,
    0.2863299399614334,
    0.1748272031545639,
    0.1158829778432846,
    0.10375243425369263,
    0.11942435801029205,
    0.15137909352779388,
    0.17945945262908936,
    0.2338840663433075,
    0.25866590440273285,
    0.2926245629787445,
    0.32133468985557556,
    0.32107095420360565,
    0.35736535489559174,
    0.4088827967643738,
    0.417190819978714,
    0.4195900112390518,
    0.4026425927877426,
    0.3788980096578598,
    0.3632489889860153,
    0.30421973764896393,
    0.25625641644001007,
    0.24411581456661224,
    0.2119579315185547,
    0.19687142968177795,
    0.20340444147586823,
    0.22014889121055603,
    0.21759484708309174,
    0.24717825651168823,
    0.31572508811950684,
    0.3640906512737274,
    0.4329323321580887,
    0.47793613374233246,
    0.5147832930088043,
    0.4640851765871048,
    0.3641715347766876,
    0.2936963140964508,
    0.2240941971540451,
    0.24939551949501038,
    0.3143370747566223,
    0.34815141558647156,
    0.3673223555088043,
    0.33786867558956146,
    0.3096919655799866,
    0.26151712238788605,
    0.23718033730983734,
    0.20937523245811462,
    0.23378750681877136,
    0.25048255920410156,
    0.2612064331769943,
    0.24314694106578827,
    0.20232939720153809,
    0.1384900063276291,
    0.10212266445159912,
    0.09622879326343536,
    0.1272890418767929,
    0.17245914041996002,
    0.22447285056114197,
    0.3173332214355469,
    0.39652083814144135,
    0.4864744544029236,
    0.5741764456033707,
    0.6029960662126541,
    0.5963181257247925,
    0.5206569731235504,
    0.44094477593898773,
    0.32675501704216003,
    0.2786893844604492,
    0.2557358890771866,
    0.2805788666009903,
    0.31288942694664,
    0.3295711278915405,
    0.3809981197118759,
    0.4199160039424896,
    0.4433622509241104,
    0.42163296043872833,
    0.44130538403987885,
    0.4669169932603836,
    0.44845639169216156,
    0.4315027445554733,
    0.389056921005249,
    0.38042429089546204,
    0.3315940797328949,
    0.31336814165115356,
    0.2820270210504532,
    0.2810584753751755,
    0.3739492744207382,
    0.415361151099205,
    0.45493772625923157,
    0.4186224490404129,
    0.3390577733516693,
    0.26054513454437256,
    0.18173739314079285,
    0.12107628583908081,
    0.09834267199039459,
    0.11791843175888062,
    0.18907693028450012,
    0.30387698113918304,
    0.4224981963634491,
    0.5181290358304977,
    0.5536374747753143,
    0.5609104335308075,
    0.5549211800098419,
    0.47744739055633545,
    0.3526870608329773,
    0.23156696557998657,
    0.12290775775909424,
    0.04561839997768402,
    0.021503791213035583,
    -0.00923699140548706,
    -0.007984146475791931,
    0.01782819628715515,
    0.09151224792003632,
    0.15273183584213257,
    0.1955515742301941,
    0.20947588980197906,
    0.20533469319343567,
    0.16385407745838165,
    0.1512421816587448,
    0.1338997483253479,
    0.09563398361206055,
    0.08651585876941681,
    0.11997875571250916,
    0.16481882333755493,
    0.23818108439445496,
    0.27338626980781555,
    0.301309734582901,
    0.28498609364032745,
    0.282573938369751,
    0.2971779853105545,
    0.3051641136407852,
    0.29560425877571106,
    0.2826877534389496,
    0.2728220522403717,
    0.2589436024427414,
    0.2446901649236679,
    0.24720285832881927,
    0.25344982743263245,
    0.24364346265792847,
    0.23787161707878113,
    0.25343120098114014,
    0.2815178483724594,
    0.29599831998348236,
    0.2501915991306305,
    0.20219075679779053,
    0.15675073862075806,
    0.1608315408229828,
    0.16413238644599915,
    0.19411882758140564,
    0.28032608330249786,
    0.3831123262643814,
    0.408518448472023,
    0.3950367867946625,
    0.3205844461917877,
    0.2361646592617035,
    0.16118179261684418,
    0.13101306557655334,
    0.13284386694431305,
    0.1563388854265213,
    0.16740213334560394,
    0.14526794850826263,
    0.14494365453720093,
    0.16241973638534546,
    0.2034461796283722,
    0.22348995506763458,
    0.2535371780395508,
    0.23335039615631104,
    0.2143067568540573,
    0.20203524827957153,
    0.2176877111196518,
    0.24769943952560425,
    0.27338413894176483,
    0.2953871786594391,
    0.28782281279563904,
    0.27421756088733673,
    0.257702112197876,
    0.19442179799079895,
    0.16781878471374512,
    0.1683536171913147,
    0.19347435235977173,
    0.2647635191679001,
    0.30865123867988586,
    0.3161732256412506,
    0.3212665319442749,
    0.32012778520584106,
    0.2787064462900162,
    0.2573081851005554,
    0.2373935729265213,
    0.2138739824295044,
    0.18963037431240082,
    0.18245252966880798,
    0.1879025101661682,
    0.22918060421943665,
    0.26916663348674774,
    0.3412989675998688,
    0.37839511036872864,
    0.3913824260234833,
    0.360352024435997,
    0.36486950516700745,
    0.34992119669914246,
    0.32064707577228546,
    0.27119167149066925,
    0.22759701311588287,
    0.17841269075870514,
    0.2030968964099884,
    0.23209698498249054,
    0.28256329894065857,
    0.3081095218658447,
    0.3045855611562729,
    0.31445012986660004,
    0.26338858902454376,
    0.23356664180755615,
    0.2841355502605438,
    0.376566618680954,
    0.45402398705482483,
    0.49189068377017975,
    0.4980522245168686,
    0.4737764447927475,
    0.40736839175224304,
    0.36648908257484436,
    0.30741313099861145,
    0.274999737739563,
    0.23504680395126343,
    0.21017813682556152,
    0.1731526106595993,
    0.14996659755706787,
    0.16268742084503174,
    0.20062924921512604,
    0.23872078955173492,
    0.29305559396743774,
    0.3385715037584305,
    0.4025794416666031,
    0.4207860380411148,
    0.41177521646022797,
    0.3973986804485321,
    0.3548714965581894,
    0.35742223262786865,
    0.4021393209695816,
    0.4341452270746231,
    0.4110344797372818,
    0.36772359907627106,
    0.3213898539543152,
    0.31177711486816406,
    0.3350198268890381,
    0.39391592144966125,
    0.41287748515605927,
    0.4126826524734497,
    0.3750929534435272,
    0.33003708720207214,
    0.28688013553619385,
    0.2855057120323181,
    0.30964773893356323,
    0.3382817506790161,
    0.40261073410511017,
    0.4354732036590576,
    0.4268006533384323,
    0.3776611089706421,
    0.2980392724275589,
    0.23298326134681702,
    0.14509692788124084,
    0.11906836926937103,
    0.1358274221420288,
    0.1875089854001999,
    0.2179223895072937,
    0.2213037610054016,
    0.2416226863861084,
    0.23627892136573792,
    0.2478574961423874,
    0.24108293652534485,
    0.2570198327302933,
    0.31888896226882935,
    0.4125351011753082,
    0.5131388902664185,
    0.5062221735715866,
    0.4626931846141815,
    0.4022819250822067,
    0.3284665197134018,
    0.2823311388492584,
    0.2575438469648361,
    0.27506767213344574,
    0.240566685795784,
    0.21819375455379486,
    0.1816769242286682,
    0.13098274171352386,
    0.11066627502441406,
    0.09288828074932098,
    0.09276726841926575,
    0.0787493884563446,
    0.11259011924266815,
    0.14628009498119354,
    0.1904522180557251,
    0.2651078999042511,
    0.32428911328315735,
    0.3674599677324295,
    0.39974452555179596,
    0.4401114135980606,
    0.49337923526763916,
    0.4964989572763443,
    0.5036544352769852,
    0.4654446989297867,
    0.4268190562725067,
    0.39610306918621063,
    0.3672443628311157,
    0.3266465961933136,
    0.2832915633916855,
    0.2673870474100113,
    0.2012740969657898,
    0.1409841775894165,
    0.084877610206604,
    0.08483260869979858,
    0.15923067927360535,
    0.21233199536800385,
    0.2841837704181671,
    0.3570595383644104,
    0.4223443567752838,
    0.44242367148399353,
    0.3904341608285904,
    0.3266545981168747,
    0.2555992901325226,
    0.1930188089609146,
    0.11977994441986084,
    0.10735082626342773,
    0.15950311720371246,
    0.2000059187412262,
    0.23115569353103638,
    0.23287710547447205,
    0.2542118728160858,
    0.25688329339027405,
    0.23965340852737427,
    0.2755798399448395,
    0.34241028130054474,
    0.3886146992444992,
    0.3975624591112137,
    0.3658446669578552,
    0.3040809631347656,
    0.2638009041547775,
    0.22987797856330872,
    0.18625886738300323,
    0.15417106449604034,
    0.15953464806079865,
    0.13574844598770142,
    0.15509171783924103,
    0.21145759522914886,
    0.26537033915519714,
    0.3193317800760269,
    0.3749855160713196,
    0.4132838696241379,
    0.44121506810188293,
    0.4195185601711273,
    0.3863282799720764,
    0.3709637373685837,
    0.33683981001377106,
    0.2878648042678833,
    0.22382234036922455,
    0.19232332706451416,
    0.2462432086467743,
    0.3621862828731537,
    0.48273077607154846,
    0.498603954911232,
    0.47407472133636475,
    0.41216734051704407,
    0.33215856552124023,
    0.26290561258792877,
    0.2033810317516327,
    0.15561425685882568,
    0.11086714267730713,
    0.11443822085857391,
    0.19848956167697906,
    0.26913152635097504,
    0.3664698898792267,
    0.4298691898584366,
    0.38967491686344147,
    0.31317514181137085,
    0.21069467067718506,
    0.12080632150173187,
    0.04327809810638428,
    0.0193927139043808,
    0.03294563293457031,
    0.06900598108768463,
    0.09262938797473907,
    0.132781520485878,
    0.12483800947666168,
    0.12132233381271362,
    0.1393095701932907,
    0.16288231313228607,
    0.22725138068199158,
    0.26932597160339355,
    0.2649391442537308,
    0.24507322907447815,
    0.237318754196167,
    0.20555099844932556,
    0.15156838297843933,
    0.1480281949043274,
    0.11749351024627686,
    0.10414499044418335,
    0.08069753646850586,
    0.08398360013961792,
    0.12629559636116028,
    0.2371591180562973,
    0.3341384679079056,
    0.3770771324634552,
    0.4239673763513565,
    0.4123903959989548,
    0.34458963572978973,
    0.2557060122489929,
    0.1950342208147049,
    0.20216764509677887,
    0.22917011380195618,
    0.24762237071990967,
    0.24804747104644775,
    0.2936778664588928,
    0.37242940068244934,
    0.391749769449234,
    0.3623524308204651,
    0.30334219336509705,
    0.22606261074543,
    0.16807842254638672,
    0.20018959045410156,
    0.25672146677970886,
    0.335443839430809,
    0.3833435922861099,
    0.4041733741760254,
    0.4207348972558975,
    0.407151460647583,
    0.38133490085601807,
    0.36817239224910736,
    0.3457261472940445,
    0.3406402915716171,
    0.2678646445274353,
    0.21479475498199463,
    0.19482742249965668,
    0.14243818819522858,
    0.1307677924633026,
    0.1389852911233902,
    0.19608666002750397,
    0.262519508600235,
    0.2993674576282501,
    0.3330216109752655,
    0.360652819275856,
    0.45291808247566223,
    0.46637141704559326,
    0.4376518279314041,
    0.32529282569885254,
    0.21589395403862,
    0.15198570489883423,
    0.09895224869251251,
    0.08804112672805786,
    0.07770675420761108,
    0.14853668212890625,
    0.21031473577022552,
    0.29554927349090576,
    0.3519245386123657,
    0.3830924779176712,
    0.3609278202056885,
    0.35303038358688354,
    0.3757728338241577,
    0.3544869124889374,
    0.3330031782388687,
    0.32823531329631805,
    0.3436729311943054,
    0.39419393241405487,
    0.41463981568813324,
    0.3729122430086136,
    0.35496005415916443,
    0.35639017820358276,
    0.37043188512325287,
    0.36038587987422943,
    0.31081344187259674,
    0.23797869682312012,
    0.21740473806858063,
    0.2063116878271103,
    0.23264756798744202,
    0.27169282734394073,
    0.29661594331264496,
    0.3378373086452484,
    0.340344101190567,
    0.3093630522489548,
    0.25232672691345215,
    0.13510550558567047,
    0.08153748512268066,
    0.051894769072532654,
    0.07769979536533356,
    0.08646334707736969,
    0.1463087946176529,
    0.21232476830482483,
    0.2751114219427109,
    0.35670872032642365,
    0.3436547964811325,
    0.3253799229860306,
    0.2587047219276428,
    0.16428692638874054,
    0.0723777562379837,
    0.03711804747581482,
    0.031175166368484497,
    0.07515852153301239,
    0.1751968115568161,
    0.23170211911201477,
    0.27412767708301544,
    0.29441995918750763,
    0.2916165292263031,
    0.273274227976799,
    0.1858026683330536,
    0.11669047176837921,
    0.037457436323165894,
    0.019214212894439697,
    0.06756563484668732,
    0.12072734534740448,
    0.18597190082073212,
    0.2459181249141693,
    0.24136291444301605,
    0.25431758165359497,
    0.27105653285980225,
    0.22099801898002625,
    0.1944652497768402,
    0.18074551224708557,
    0.15257486701011658,
    0.18281134963035583,
    0.21380139887332916,
    0.23792095482349396,
    0.2804953306913376,
    0.28737230598926544,
    0.2475326806306839,
    0.1669965386390686,
    0.1325255036354065,
    0.11606045067310333,
    0.06786108016967773,
    0.051569730043411255,
    0.10474668443202972,
    0.1621934473514557,
    0.2424023598432541,
    0.29099681973457336,
    0.2866021990776062,
    0.2535746544599533,
    0.2022140622138977,
    0.13934950530529022,
    0.1228039413690567,
    0.11127686500549316,
    0.139841690659523,
    0.18762849271297455,
    0.23011700809001923,
    0.19956636428833008,
    0.18654704093933105,
    0.162735715508461,
    0.1205812394618988,
    0.12595196068286896,
    0.11501581966876984,
    0.1341998428106308,
    0.1304185390472412,
    0.13226869702339172,
    0.1096792221069336,
    0.08712080121040344,
    0.09301087260246277,
    0.08892960846424103,
    0.10924486815929413,
    0.13169124722480774,
    0.1714397519826889,
    0.22156000137329102,
    0.2860221415758133,
    0.33365704119205475,
    0.3873082548379898,
    0.3895738124847412,
    0.3511646240949631,
    0.2559642791748047,
    0.1913491040468216,
    0.1692344844341278,
    0.1834852695465088,
    0.22944264113903046,
    0.3032964766025543,
    0.3272440731525421,
    0.35217611491680145,
    0.35025130212306976,
    0.3065817058086395,
    0.28515057265758514,
    0.20355594158172607,
    0.1732637882232666,
    0.1428399533033371,
    0.14966975152492523,
    0.1932193636894226,
    0.2843547463417053,
    0.302641361951828,
    0.29240572452545166,
    0.23859304189682007,
    0.189688578248024,
    0.18360604345798492,
    0.19941528141498566,
    0.25695161521434784,
    0.2791688144207001,
    0.2709629088640213,
    0.19139519333839417,
    0.14527592062950134,
    0.11530591547489166,
    0.11799989640712738,
    0.1354907602071762,
    0.1572016328573227,
    0.186745747923851,
    0.17383751273155212,
    0.18747280538082123,
    0.16416840255260468,
    0.15468144416809082,
    0.18558132648468018,
    0.24357791244983673,
    0.29890814423561096,
    0.3074922561645508,
    0.2863820195198059,
    0.23221558332443237,
    0.16232284903526306,
    0.12645569443702698,
    0.08451943099498749,
    0.07252269983291626,
    0.07968498766422272,
    0.10106076300144196,
    0.1321336179971695,
    0.11006483435630798,
    0.10952113568782806,
    0.11762930452823639,
    0.11489218473434448,
    0.12332457304000854,
    0.1649264693260193,
    0.19518378376960754,
    0.23765741288661957,
    0.22989515960216522,
    0.1835261881351471,
    0.11155375838279724,
    0.08040781319141388,
    0.08751523494720459,
    0.1199670135974884,
    0.19103683531284332,
    0.2518845647573471,
    0.31748121976852417,
    0.31793706119060516,
    0.27845171093940735,
    0.25881776213645935,
    0.19362829625606537,
    0.13290098309516907,
    0.08786867558956146,
    0.08907820284366608,
    0.1266111135482788,
    0.15402565896511078,
    0.14875736832618713,
    0.18090027570724487,
    0.2021903097629547,
    0.19843623042106628,
    0.21893838047981262,
    0.18854834139347076,
    0.15283365547657013,
    0.11935757100582123,
    0.09430941939353943,
    0.08352687954902649,
    0.11383163928985596,
    0.10955899953842163,
    0.08286145329475403,
    0.10281474888324738,
    0.14017054438591003,
    0.1796099841594696,
    0.15599822998046875,
    0.17395706474781036,
    0.1493535339832306,
    0.12009213864803314,
    0.11376892030239105,
    0.10628020763397217,
    0.0857250988483429,
    0.09683649241924286,
    0.12418997287750244,
    0.11809983849525452,
    0.143632709980011,
    0.1575409471988678,
    0.12380650639533997,
    0.09401819109916687,
    0.047793179750442505,
    0.07588624954223633,
    0.1314115822315216,
    0.20896632969379425,
    0.25771908462047577,
    0.33619891107082367,
    0.3768746107816696,
    0.42890946567058563,
    0.41408656537532806,
    0.4081966131925583,
    0.30185219645500183,
    0.19037745893001556,
    0.09146527945995331,
    0.04221527278423309,
    0.025424718856811523,
    0.05944158136844635,
    0.1546257734298706,
    0.21342161297798157,
    0.2322539985179901,
    0.21165817975997925,
    0.23303371667861938,
    0.23687085509300232,
    0.2980012595653534,
    0.3661390095949173,
    0.403368279337883,
    0.45671772956848145,
    0.4475271850824356,
    0.4114832878112793,
    0.36312606930732727,
    0.32568491995334625,
    0.29879772663116455,
    0.29051338136196136,
    0.25300978124141693,
    0.23466210067272186,
    0.2597062736749649,
    0.3109705001115799,
    0.36469970643520355,
    0.436349093914032,
    0.49707627296447754,
    0.4972427487373352,
    0.4860023409128189,
    0.4192662835121155,
    0.3665492683649063,
    0.28625598549842834,
    0.23150120675563812,
    0.21392223238945007,
    0.20456846058368683,
    0.243263840675354,
    0.26072345674037933,
    0.2864775061607361,
    0.2681766599416733,
    0.2949839383363724,
    0.28777649998664856,
    0.29434768855571747,
    0.30057206749916077,
    0.331930547952652,
    0.35547488927841187,
    0.378357857465744,
    0.383733332157135,
    0.39624860882759094,
    0.4299035668373108,
    0.46275217831134796,
    0.45395733416080475,
    0.4183080941438675,
    0.33584417402744293,
    0.25974462926387787,
    0.269620344042778,
    0.33615633845329285,
    0.3731108009815216,
    0.35684947669506073,
    0.31467317044734955,
    0.26426073908805847,
    0.23912328481674194,
    0.2550263851881027,
    0.2652248442173004,
    0.29605232179164886,
    0.29973259568214417,
    0.322406530380249,
    0.3495991975069046,
    0.3906398266553879,
    0.40749919414520264,
    0.36641016602516174,
    0.2693948745727539,
    0.1825258582830429,
    0.10891318321228027,
    0.039280444383621216,
    0.001139804720878601,
    0.020075544714927673,
    0.10803879797458649,
    0.2073608785867691,
    0.26178164780139923,
    0.3058651238679886,
    0.34435664117336273,
    0.407061368227005,
    0.4430273771286011,
    0.4327995330095291,
    0.39333488047122955,
    0.293973371386528,
    0.1791735291481018,
    0.09051781892776489,
    0.02397027611732483,
    0.019317880272865295,
    0.01852184534072876,
    0.062037333846092224,
    0.11774168908596039,
    0.12950345873832703,
    0.15885283052921295,
    0.16823630034923553,
    0.15234410762786865,
    0.14121730625629425,
    0.16579902172088623,
    0.16432981193065643,
    0.1942475587129593,
    0.25256678462028503,
    0.2853148579597473,
    0.33816733956336975,
    0.36067232489585876,
    0.3813387602567673,
    0.4071770906448364,
    0.36237603425979614,
    0.32659295201301575,
    0.2534981071949005,
    0.20062585175037384,
    0.20205897092819214,
    0.28998641669750214,
    0.3340574651956558,
    0.38241490721702576,
    0.35642164945602417,
    0.2862074226140976,
    0.239778071641922,
    0.18017879128456116,
    0.17513105273246765,
    0.21186697483062744,
    0.20704428851604462,
    0.1927240788936615,
    0.19484682381153107,
    0.17400693893432617,
    0.15431435406208038,
    0.16134069859981537,
    0.1843673139810562,
    0.2565806657075882,
    0.32379502058029175,
    0.38032636046409607,
    0.38397957384586334,
    0.34020863473415375,
    0.31594689190387726,
    0.2901153862476349,
    0.2562982589006424,
    0.2082902044057846,
    0.1934444010257721,
    0.16168680787086487,
    0.1288822740316391,
    0.09272737801074982,
    0.11607550084590912,
    0.16207802295684814,
    0.22173818945884705,
    0.24612751603126526,
    0.24900880455970764,
    0.2052723467350006,
    0.16579850018024445,
    0.15905146300792694,
    0.1489325314760208,
    0.1204250305891037,
    0.10304678976535797,
    0.09341703355312347,
    0.11319638788700104,
    0.16399268805980682,
    0.18494872748851776,
    0.16294610500335693,
    0.11269666254520416,
    0.07508905231952667,
    0.050993070006370544,
    0.0440937876701355,
    0.06700122356414795,
    0.0816543847322464,
    0.0818653255701065,
    0.062093526124954224,
    0.04634375870227814,
    0.0203506201505661,
    0.028329089283943176,
    0.04770541191101074,
    0.06699247658252716,
    0.05937124788761139,
    0.03551335632801056,
    0.026213929057121277,
    0.029622018337249756,
    0.062151968479156494,
    0.0781460553407669,
    0.1044878363609314,
    0.1414967030286789,
    0.13965553045272827,
    0.1286635547876358,
    0.09823261201381683,
    0.05098651349544525,
    0.10653917491436005,
    0.19144900143146515,
    0.26336586475372314,
    0.30441245436668396,
    0.29555054008960724,
    0.25177837908267975,
    0.1786007434129715,
    0.17042286694049835,
    0.1461953967809677,
    0.14326967298984528,
    0.16141819953918457,
    0.1614607274532318,
    0.13994887471199036,
    0.14239658415317535,
    0.13311795890331268,
    0.1222866028547287,
    0.14500698447227478,
    0.19194847345352173,
    0.2540196180343628,
    0.2904825508594513,
    0.3025711923837662,
    0.3296332508325577,
    0.29558761417865753,
    0.23265554010868073,
    0.1546998769044876,
    0.13579945266246796,
    0.14701099693775177,
    0.1527038961648941,
    0.13658063113689423,
    0.09616023302078247,
    0.06449930369853973,
    0.03697885572910309,
    0.036215782165527344,
    0.02612486481666565,
    0.002128422260284424,
    0.0002368837594985962,
    0.00903327763080597,
    0.021945521235466003,
    0.07330000400543213,
    0.12133237719535828,
    0.1801420897245407,
    0.2696343809366226,
    0.34115566313266754,
    0.41336317360401154,
    0.39596791565418243,
    0.3234773129224777,
    0.22744064033031464,
    0.15120621025562286,
    0.1126423329114914,
    0.12539124488830566,
    0.13089747726917267,
    0.16026851534843445,
    0.16286151111125946,
    0.19635269045829773,
    0.20033739507198334,
    0.19385328888893127,
    0.19373710453510284,
    0.20029184222221375,
    0.1963096708059311,
    0.19525623321533203,
    0.1783970147371292,
    0.1427706927061081,
    0.10267123579978943,
    0.09921738505363464,
    0.12489001452922821,
    0.15371693670749664,
    0.16010510921478271,
    0.1619713008403778,
    0.1799537092447281,
    0.21459226310253143,
    0.24331015348434448,
    0.23760922253131866,
    0.2607261389493942,
    0.3244192600250244,
    0.43582916259765625,
    0.45493869483470917,
    0.4558538347482681,
    0.42212171852588654,
    0.35176537930965424,
    0.2861267179250717,
    0.2597115933895111,
    0.2797856330871582,
    0.34108512103557587,
    0.37823596596717834,
    0.4114292860031128,
    0.40626460313796997,
    0.37414024770259857,
    0.3411891609430313,
    0.29217013716697693,
    0.2142888754606247,
    0.15516042709350586,
    0.0988081693649292,
    0.09654539823532104,
    0.17653267085552216,
    0.24244308471679688,
    0.2953614443540573,
    0.35988855361938477,
    0.360138475894928,
    0.313966765999794,
    0.2268025428056717,
    0.16563193500041962,
    0.17812377214431763,
    0.21021559834480286,
    0.24681559205055237,
    0.2847965955734253,
    0.32219313085079193,
    0.27545273303985596,
    0.2357650101184845,
    0.2239367514848709,
    0.24500639736652374,
    0.2546098530292511,
    0.30499275028705597,
    0.31886935234069824,
    0.3059632331132889,
    0.25225870311260223,
    0.18981844186782837,
    0.15105976164340973,
    0.14572498202323914,
    0.1643703281879425,
    0.19926710426807404,
    0.18688033521175385,
    0.17444875836372375,
    0.18509721755981445,
    0.20367662608623505,
    0.2008008509874344,
    0.22502847015857697,
    0.24032115936279297,
    0.2111361175775528,
    0.14816977083683014,
    0.11008107662200928,
    0.033700525760650635,
    -0.027745917439460754,
    -0.10733422636985779,
    -0.08955912292003632,
    -0.02865491807460785,
    0.051639869809150696,
    0.10515257716178894,
    0.11117641627788544,
    0.08972646296024323,
    0.06466345489025116,
    0.03346191346645355,
    0.04146166145801544,
    0.07174326479434967,
    0.14545735716819763,
    0.1627652496099472,
    0.17878340184688568,
    0.1877482384443283,
    0.19816917181015015,
    0.2526024132966995,
    0.3144770562648773,
    0.3273698389530182,
    0.3341595530509949,
    0.2956719249486923,
    0.2195081263780594,
    0.17003948986530304,
    0.10660165548324585,
    0.05840446054935455,
    0.006882026791572571,
    -0.0040427446365356445,
    0.04401366412639618,
    0.07233165204524994,
    0.09259484708309174,
    0.08736006915569305,
    0.11271317303180695,
    0.13945697247982025,
    0.17159047722816467,
    0.17622606456279755,
    0.18929573893547058,
    0.18790161609649658,
    0.16963915526866913,
    0.12541818618774414,
    0.10483825206756592,
    0.12274153530597687,
    0.1371079981327057,
    0.15895141661167145,
    0.1507473737001419,
    0.13698351383209229,
    0.12357477843761444,
    0.08164770901203156,
    0.07937462627887726,
    0.07406891882419586,
    0.10274073481559753,
    0.14332914352416992,
    0.18248429894447327,
    0.19842657446861267,
    0.2177814245223999,
    0.23149211704730988,
    0.24476966261863708,
    0.2729162573814392,
    0.2931443601846695,
    0.29405054450035095,
    0.2914355844259262,
    0.29884739220142365,
    0.26710397005081177,
    0.19904007017612457,
    0.18485066294670105,
    0.20921985805034637,
    0.25628213584423065,
    0.26061348617076874,
    0.280999094247818,
    0.22554738819599152,
    0.12855958938598633,
    0.07803872227668762,
    0.07133892178535461,
    0.09678100049495697,
    0.16269551217556,
    0.23594577610492706,
    0.2889751195907593,
    0.31569524109363556,
    0.33787423372268677,
    0.36694765090942383,
    0.3388519287109375,
    0.2574843764305115,
    0.20285114645957947,
    0.19070835411548615,
    0.21076716482639313,
    0.246542826294899,
    0.29886141419410706,
    0.24419540166854858,
    0.20550015568733215,
    0.23413683474063873,
    0.24988363683223724,
    0.2041303962469101,
    0.1462281495332718,
    0.10310176014900208,
    0.0778363049030304,
    0.04174889624118805,
    0.05670712888240814,
    0.07304956018924713,
    0.14112935960292816,
    0.1873113214969635,
    0.24588137865066528,
    0.2955521047115326,
    0.33058543503284454,
    0.31334610283374786,
    0.24794906377792358,
    0.18956005573272705,
    0.10373499989509583,
    0.05467747151851654,
    0.021011069416999817,
    0.010279223322868347,
    0.003262832760810852,
    0.09550359845161438,
    0.18627923727035522,
    0.27191291749477386,
    0.3462911546230316,
    0.41101478040218353,
    0.4220404028892517,
    0.34786243736743927,
    0.23757971823215485,
    0.11782501637935638,
    0.04223942756652832,
    0.06371121108531952,
    0.08808237314224243,
    0.11060738563537598,
    0.17029839754104614,
    0.21330785751342773,
    0.22712381184101105,
    0.221676766872406,
    0.19134479761123657,
    0.18784856796264648,
    0.14686135947704315,
    0.1479557901620865,
    0.14415064454078674,
    0.16438357532024384,
    0.15747275948524475,
    0.11012202501296997,
    0.08722484111785889,
    0.08525453507900238,
    0.07881785929203033,
    0.08769716322422028,
    0.092323437333107,
    0.11740812659263611,
    0.12132740020751953,
    0.14957401156425476,
    0.13942718505859375,
    0.1134125292301178,
    0.05806644260883331,
    0.008481919765472412,
    0.014573469758033752,
    0.04205305874347687,
    0.09588335454463959,
    0.11303585767745972,
    0.12960810959339142,
    0.1334848552942276,
    0.1414695531129837,
    0.1283227652311325,
    0.09170953929424286,
    0.045097559690475464,
    0.04652246832847595,
    0.08215484023094177,
    0.14601947367191315,
    0.25810159742832184,
    0.3656133711338043,
    0.46449632942676544,
    0.5358839780092239,
    0.5177443623542786,
    0.45056013762950897,
    0.33037878572940826,
    0.26440830528736115,
    0.238552525639534,
    0.2658897936344147,
    0.2911674678325653,
    0.3100023418664932,
    0.31910331547260284,
    0.2687460035085678,
    0.2177637815475464,
    0.2033422291278839,
    0.17167410254478455,
    0.18619561195373535,
    0.19213736057281494,
    0.23596152663230896,
    0.29203617572784424,
    0.2999067008495331,
    0.26805412769317627,
    0.21752065420150757,
    0.17979562282562256,
    0.2227921038866043,
    0.2734786421060562,
    0.33061762154102325,
    0.42464856803417206,
    0.4671495407819748,
    0.45944103598594666,
    0.4274710863828659,
    0.306127205491066,
    0.16971394419670105,
    0.06885771453380585,
    0.08608680963516235,
    0.10364757478237152,
    0.09449468553066254,
    0.09637683629989624,
    0.0965195894241333,
    0.08735913038253784,
    0.11773280799388885,
    0.15972229838371277,
    0.18003995716571808,
    0.18451066315174103,
    0.20253445208072662,
    0.22055809199810028,
    0.21474811434745789,
    0.21566535532474518,
    0.20868179202079773,
    0.2081160843372345,
    0.23011010885238647,
    0.2323257327079773,
    0.2247193306684494,
    0.16960741579532623,
    0.08980982005596161,
    0.012635782361030579,
    -0.025137275457382202,
    -0.006842777132987976,
    0.04519209265708923,
    0.14007440209388733,
    0.21257469058036804,
    0.29118330776691437,
    0.3549175411462784,
    0.38652925193309784,
    0.3304421007633209,
    0.2858244776725769,
    0.2176421880722046,
    0.15402986109256744,
    0.14875181019306183,
    0.15413446724414825,
    0.19109167158603668,
    0.22361038625240326,
    0.26100748777389526,
    0.2917453646659851,
    0.2688893973827362,
    0.21936514973640442,
    0.17866916954517365,
    0.16209042072296143,
    0.17172616720199585,
    0.22641003131866455,
    0.3399910479784012,
    0.40845924615859985,
    0.43700721859931946,
    0.3873666673898697,
    0.3084116280078888,
    0.21393916010856628,
    0.12496817111968994,
    0.0600678026676178,
    0.013885363936424255,
    0.016298934817314148,
    0.05553452670574188,
    0.0987730324268341,
    0.15424659848213196,
    0.2103903740644455,
    0.236009880900383,
    0.26406237483024597,
    0.2507297992706299,
    0.22168998420238495,
    0.1927240639925003,
    0.12690424919128418,
    0.0852428674697876,
    0.02639847993850708,
    0.014634653925895691,
    -0.011554524302482605,
    0.0016467124223709106,
    -0.0020839422941207886,
    0.022651925683021545,
    0.038716644048690796,
    0.044142648577690125,
    0.05120542645454407,
    0.060927778482437134,
    0.042159393429756165,
    0.026781126856803894,
    -0.04017646610736847,
    -0.07827495038509369,
    -0.0787862092256546,
    -0.06545984745025635,
    -0.054904818534851074,
    0.014569789171218872,
    0.03314080834388733,
    0.06625252962112427,
    0.1234351396560669,
    0.16742584109306335,
    0.1572868376970291,
    0.14082452654838562,
    0.15815487504005432,
    0.17955878376960754,
    0.1637989580631256,
    0.16162732243537903,
    0.1461039036512375,
    0.1465691477060318,
    0.09505689144134521,
    0.07316572964191437,
    0.037795960903167725,
    0.05921490490436554,
    0.08593691885471344,
    0.15335457026958466,
    0.19613133370876312,
    0.2538925111293793,
    0.2856879234313965,
    0.2797444760799408,
    0.2697637677192688,
    0.2273518145084381,
    0.1892118752002716,
    0.14422492682933807,
    0.1295413225889206,
    0.2238985151052475,
    0.310261532664299,
    0.3922593742609024,
    0.3932766020298004,
    0.3366367220878601,
    0.3093790262937546,
    0.22519811987876892,
    0.12211760878562927,
    0.06837025284767151,
    0.07424601912498474,
    0.08695633709430695,
    0.09863528609275818,
    0.1394769698381424,
    0.1747211217880249,
    0.22464358806610107,
    0.24504098296165466,
    0.2314590960741043,
    0.19254693388938904,
    0.16570469737052917,
    0.15121881663799286,
    0.17632083594799042,
    0.22949106991291046,
    0.2895975410938263,
    0.26734840869903564,
    0.23388250172138214,
    0.16753891110420227,
    0.10514222085475922,
    0.05086351931095123,
    0.010065898299217224,
    0.0523599237203598,
    0.10512675344944,
    0.1849210262298584,
    0.23153217136859894,
    0.27081842720508575,
    0.28447678685188293,
    0.23851378262043,
    0.22757889330387115,
    0.2066020518541336,
    0.19972792267799377,
    0.22413469851016998,
    0.1853690892457962,
    0.13549630343914032,
    0.09999744594097137,
    0.09661489725112915,
    0.0829249918460846,
    0.08308185636997223,
    0.08513808250427246,
    0.050851091742515564,
    0.011197835206985474,
    -0.030075713992118835,
    -0.03493128716945648,
    -0.0019024908542633057,
    0.031170129776000977,
    0.09532549977302551,
    0.14458045363426208,
    0.19156213104724884,
    0.17433284223079681,
    0.10222786664962769,
    0.03397434949874878,
    0.08946816623210907,
    0.18967431783676147,
    0.32333557307720184,
    0.4369734227657318,
    0.5457181930541992,
    0.6039596796035767,
    0.5659146159887314,
    0.4796297997236252,
    0.3468014597892761,
    0.2304810732603073,
    0.13420899212360382,
    0.10085618495941162,
    0.06479737162590027,
    0.07791148126125336,
    0.12937910854816437,
    0.16855619847774506,
    0.19222013652324677,
    0.2608344554901123,
    0.3410002887248993,
    0.36847709119319916,
    0.3604121655225754,
    0.34473916888237,
    0.2830716669559479,
    0.2287922352552414,
    0.1806245893239975,
    0.1338571161031723,
    0.10042476654052734,
    0.07610960304737091,
    0.09737876057624817,
    0.16218435764312744,
    0.23864787817001343,
    0.2961529940366745,
    0.3520413041114807,
    0.39711427688598633,
    0.42831869423389435,
    0.4137599617242813,
    0.3772340565919876,
    0.3057052344083786,
    0.20372875034809113,
    0.12392346560955048,
    0.08362194895744324,
    0.08552531898021698,
    0.14153456687927246,
    0.18361055850982666,
    0.24346280097961426,
    0.22846834361553192,
    0.24436518549919128,
    0.2293471097946167,
    0.21300682425498962,
    0.23208336532115936,
    0.2655153274536133,
    0.2403046190738678,
    0.21270453929901123,
    0.17129789292812347,
    0.18189150094985962,
    0.1844247728586197,
    0.16629599034786224,
    0.17081211507320404,
    0.13612793385982513,
    0.10835152864456177,
    0.07417643070220947,
    0.07888306677341461,
    0.10243447124958038,
    0.09922127425670624,
    0.07175366580486298,
    0.04824747145175934,
    0.07941998541355133,
    0.09895196557044983,
    0.17856355011463165,
    0.29139313101768494,
    0.385490745306015,
    0.43028077483177185,
    0.4561396688222885,
    0.42399339377880096,
    0.359506219625473,
    0.2088584154844284,
    0.04413403570652008,
    -0.0493769645690918,
    -0.08536200225353241,
    0.01689085364341736,
    0.16223125159740448,
    0.30564282834529877,
    0.3562409579753876,
    0.3307308554649353,
    0.3239280879497528,
    0.29217080771923065,
    0.2436375468969345,
    0.1796989142894745,
    0.14880222082138062,
    0.08898426592350006,
    0.011428043246269226,
    -0.005057051777839661,
    0.006048306822776794,
    0.050510600209236145,
    0.0886949896812439,
    0.10871994495391846,
    0.12741392850875854,
    0.14934955537319183,
    0.11994481086730957,
    0.09946423768997192,
    0.046152785420417786,
    0.042762041091918945,
    0.04343877732753754,
    0.07935522496700287,
    0.1436285823583603,
    0.2588145136833191,
    0.3117821365594864,
    0.3359947055578232,
    0.2908036708831787,
    0.2129671275615692,
    0.11186717450618744,
    0.05744433403015137,
    0.03370527923107147,
    0.044973209500312805,
    0.09169632196426392,
    0.15491090714931488,
    0.19817541539669037,
    0.24311576783657074,
    0.241136372089386,
    0.2577708959579468,
    0.25341933965682983,
    0.24876731634140015,
    0.22161629796028137,
    0.17725634574890137,
    0.144858255982399,
    0.07238824665546417,
    0.03603081405162811,
    0.05046796798706055,
    0.0923396497964859,
    0.14809943735599518,
    0.18856686353683472,
    0.21664032340049744,
    0.19917504489421844,
    0.11426523327827454,
    0.06951390206813812,
    0.02077871561050415,
    0.05255453288555145,
    0.091123566031456,
    0.16079771518707275,
    0.23601821064949036,
    0.3105098754167557,
    0.3539998084306717,
    0.3395221680402756,
    0.330536812543869,
    0.3266363888978958,
    0.29156579077243805,
    0.23405148088932037,
    0.15598952770233154,
    0.09697562456130981,
    0.05776597559452057,
    0.0020868033170700073,
    0.008778303861618042,
    0.03449428081512451,
    0.0933968722820282,
    0.14941832423210144,
    0.15598773956298828,
    0.13390636444091797,
    0.13609014451503754,
    0.1634572595357895,
    0.191552996635437,
    0.2669675052165985,
    0.2932911664247513,
    0.3156914710998535,
    0.28163689374923706,
    0.20974579453468323,
    0.15953399240970612,
    0.09643109142780304,
    0.03901098668575287,
    0.05187605321407318,
    0.1210252046585083,
    0.1873771995306015,
    0.2718593031167984,
    0.3610855042934418,
    0.38248805701732635,
    0.4094838500022888,
    0.41188500821590424,
    0.4105573147535324,
    0.37553299963474274,
    0.29679401218891144,
    0.21725954115390778,
    0.17629103362560272,
    0.1897161900997162,
    0.24897807836532593,
    0.30927805602550507,
    0.3582490086555481,
    0.387882336974144,
    0.3902652710676193,
    0.339678555727005,
    0.29219871759414673,
    0.2811993956565857,
    0.29939766228199005,
    0.32748961448669434,
    0.34861519932746887,
    0.40918830037117004,
    0.4419955611228943,
    0.40839630365371704,
    0.3250056803226471,
    0.26335300505161285,
    0.2548377066850662,
    0.2382110059261322,
    0.16966713964939117,
    0.12876349687576294,
    0.11951512098312378,
    0.1629427820444107,
    0.2010943740606308,
    0.21082183718681335,
    0.21892611682415009,
    0.24992002546787262,
    0.26042892038822174,
    0.2425655722618103,
    0.18639883399009705,
    0.14679785072803497,
    0.1330679953098297,
    0.16422966122627258,
    0.14993062615394592,
    0.15103726089000702,
    0.11734454333782196,
    0.10217146575450897,
    0.07896925508975983,
    0.10096895694732666,
    0.1935766190290451,
    0.20927679538726807,
    0.22161449491977692,
    0.2436552345752716,
    0.23080405592918396,
    0.163755863904953,
    0.10291741788387299,
    0.028375551104545593,
    -0.015380769968032837,
    -0.016393333673477173,
    -0.017126008868217468,
    -0.011331766843795776,
    0.01153777539730072,
    0.017644330859184265,
    0.04038473963737488,
    0.10051770508289337,
    0.15005861222743988,
    0.2081349492073059,
    0.2788921594619751,
    0.32229308784008026,
    0.3569720983505249,
    0.3681204468011856,
    0.3369445949792862,
    0.30302904546260834,
    0.2479771375656128,
    0.24213653802871704,
    0.19224929809570312,
    0.16025370359420776,
    0.1284956932067871,
    0.108475461602211,
    0.08272692561149597,
    0.11854714155197144,
    0.13927613198757172,
    0.1163739413022995,
    0.08918605744838715,
    0.11828747391700745,
    0.17082421481609344,
    0.26666268706321716,
    0.36257730424404144,
    0.4237513840198517,
    0.43277980387210846,
    0.4077257364988327,
    0.33590151369571686,
    0.23764002323150635,
    0.12989233434200287,
    0.08262638747692108,
    0.02608408033847809,
    0.015382692217826843,
    0.035618916153907776,
    0.0650036633014679,
    0.11414194107055664,
    0.17382483184337616,
    0.2750583589076996,
    0.3446694314479828,
    0.371533527970314,
    0.3706297129392624,
    0.3896080106496811,
    0.33021026849746704,
    0.23522798717021942,
    0.13722248375415802,
    0.06273214519023895,
    0.013109669089317322,
    -0.01279805600643158,
    -0.03249029815196991,
    0.011793449521064758,
    0.058399394154548645,
    0.07992695271968842,
    0.13111218810081482,
    0.18877282738685608,
    0.2754240036010742,
    0.3520843833684921,
    0.4242872893810272,
    0.46576598286628723,
    0.4556542932987213,
    0.4317707419395447,
    0.3782256841659546,
    0.30394378304481506,
    0.2648684084415436,
    0.2507514953613281,
    0.2304842621088028,
    0.17810238897800446,
    0.1867508590221405,
    0.2033594250679016,
    0.20881253480911255,
    0.22183339297771454,
    0.26919621229171753,
    0.3350831866264343,
    0.35676054656505585,
    0.35564130544662476,
    0.349820613861084,
    0.3133281171321869,
    0.28412196040153503,
    0.26528528332710266,
    0.26098717749118805,
    0.19373980164527893,
    0.11672435700893402,
    0.019068822264671326,
    -0.07778513431549072,
    -0.1029798686504364,
    -0.0646105706691742,
    0.009610727429389954,
    0.11571389436721802,
    0.21269676089286804,
    0.2828677296638489,
    0.2711089253425598,
    0.2489745169878006,
    0.2296169251203537,
    0.23477543890476227,
    0.21611152589321136,
    0.23134002089500427,
    0.24795512855052948,
    0.26135140657424927,
    0.27491527795791626,
    0.27100227773189545,
    0.2784891277551651,
    0.2576005607843399,
    0.24274501204490662,
    0.25358061492443085,
    0.22718235850334167,
    0.23662638664245605,
    0.2531708776950836,
    0.23951739072799683,
    0.2354280650615692,
    0.18173964321613312,
    0.13732926547527313,
    0.10288168489933014,
    0.07678857445716858,
    0.06793627142906189,
    0.11286655068397522,
    0.14025616645812988,
    0.21377348899841309,
    0.33345969021320343,
    0.37704262137413025,
    0.4530346095561981,
    0.5108110904693604,
    0.5549675673246384,
    0.5313186198472977,
    0.46376141905784607,
    0.45934993028640747,
    0.46770980954170227,
    0.4792034924030304,
    0.4874172806739807,
    0.46325697004795074,
    0.3973415493965149,
    0.30146050453186035,
    0.2589866369962692,
    0.22263209521770477,
    0.2178421914577484,
    0.23933564126491547,
    0.24697288870811462,
    0.25455179810523987,
    0.2901548743247986,
    0.2896743565797806,
    0.2671498507261276,
    0.26302747428417206,
    0.2814842611551285,
    0.2991905063390732,
    0.3104582279920578,
    0.31406764686107635,
    0.36124174296855927,
    0.3266660273075104,
    0.2865990996360779,
    0.20536324381828308,
    0.13373105227947235,
    0.11965596675872803,
    0.1401052474975586,
    0.19049835205078125,
    0.21202722191810608,
    0.22466975450515747,
    0.24572858214378357,
    0.23506705462932587,
    0.25056153535842896,
    0.2549772560596466,
    0.2960423231124878,
    0.3338872790336609,
    0.3578798323869705,
    0.356973797082901,
    0.31643472611904144,
    0.2499503493309021,
    0.20417986810207367,
    0.17132258415222168,
    0.21639299392700195,
    0.2938220053911209,
    0.3847612887620926,
    0.4469493627548218,
    0.4841099977493286,
    0.4498966932296753,
    0.39033354818820953,
    0.36219996213912964,
    0.34922826290130615,
    0.37522341310977936,
    0.3528667539358139,
    0.3236778974533081,
    0.31166180968284607,
    0.30657532811164856,
    0.2851724922657013,
    0.28143811225891113,
    0.2895406484603882,
    0.31460364162921906,
    0.3260333240032196,
    0.37025395035743713,
    0.451508104801178,
    0.48964692652225494,
    0.5021240413188934,
    0.4379933774471283,
    0.32177887856960297,
    0.24173370003700256,
    0.17800116539001465,
    0.16547726094722748,
    0.22300860285758972,
    0.27385295927524567,
    0.3541206419467926,
    0.38297905027866364,
    0.3748476058244705,
    0.3864666670560837,
    0.33666378259658813,
    0.2718920409679413,
    0.22015441954135895,
    0.21398121118545532,
    0.21929505467414856,
    0.21774153411388397,
    0.2693922072649002,
    0.31872929632663727,
    0.35707375407218933,
    0.31983549892902374,
    0.28861935436725616,
    0.2809287756681442,
    0.26082223653793335,
    0.21266424655914307,
    0.1972155123949051,
    0.20577354729175568,
    0.2213134914636612,
    0.21010293066501617,
    0.205342099070549,
    0.2188267707824707,
    0.20965540409088135,
    0.17072583734989166,
    0.15755218267440796,
    0.1527639627456665,
    0.15453319251537323,
    0.17643792927265167,
    0.1878940761089325,
    0.2191566824913025,
    0.27853432297706604,
    0.3424549251794815,
    0.3857673555612564,
    0.4203238785266876,
    0.4022922217845917,
    0.34940189123153687,
    0.31114423274993896,
    0.25468261539936066,
    0.22946277260780334,
    0.16136498749256134,
    0.11020062863826752,
    0.10047420859336853,
    0.1621929109096527,
    0.27250388264656067,
    0.39565223455429077,
    0.49600644409656525,
    0.5570256114006042,
    0.5538741648197174,
    0.5236070901155472,
    0.47006450593471527,
    0.4558618813753128,
    0.4385116547346115,
    0.41696181893348694,
    0.4269014298915863,
    0.41902415454387665,
    0.40323957800865173,
    0.3454491198062897,
    0.28288431465625763,
    0.2830240875482559,
    0.31562498211860657,
    0.35202163457870483,
    0.3756202906370163,
    0.4073609411716461,
    0.4250146746635437,
    0.47367848455905914,
    0.47232329845428467,
    0.43324826657772064,
    0.36550264060497284,
    0.26415079832077026,
    0.1891663521528244,
    0.12294740974903107,
    0.11337244510650635,
    0.17437681555747986,
    0.21925684809684753,
    0.294823095202446,
    0.3552321046590805,
    0.4134986102581024,
    0.43683941662311554,
    0.40144458413124084,
    0.31566354632377625,
    0.24299588799476624,
    0.22842201590538025,
    0.1896522045135498,
    0.20901307463645935,
    0.20174959301948547,
    0.18496844172477722,
    0.22748354077339172,
    0.27000243961811066,
    0.2994725704193115,
    0.29952581226825714,
    0.25090762972831726,
    0.19452570378780365,
    0.13074448704719543,
    0.1138557642698288,
    0.16620633006095886,
    0.2528529316186905,
    0.33941590785980225,
    0.4326492100954056,
    0.48678603768348694,
    0.4864596426486969,
    0.45567575097084045,
    0.3979351669549942,
    0.3865476995706558,
    0.35382941365242004,
    0.3433777093887329,
    0.35112136602401733,
    0.3676825761795044,
    0.320413738489151,
    0.25168658792972565,
    0.20143291354179382,
    0.12072436511516571,
    0.09177865087985992,
    0.09348969161510468,
    0.14058220386505127,
    0.20411747694015503,
    0.2423994541168213,
    0.30939000844955444,
    0.36866386234760284,
    0.39573897421360016,
    0.4030876159667969,
    0.3434712737798691,
    0.27516360580921173,
    0.2616680711507797,
    0.2467968612909317,
    0.2095431238412857,
    0.14780139923095703,
    0.09065383672714233,
    0.0367213636636734,
    0.04056544601917267,
    0.0441398024559021,
    0.09200339019298553,
    0.13492467999458313,
    0.15979787707328796,
    0.20364423096179962,
    0.24871890246868134,
    0.29204152524471283,
    0.3061542809009552,
    0.3472762107849121,
    0.383450448513031,
    0.4365743398666382,
    0.4577418267726898,
    0.4953630566596985,
    0.4671957790851593,
    0.38483569025993347,
    0.2824874818325043,
    0.2377110719680786,
    0.21208441257476807,
    0.19063971936702728,
    0.18367479741573334,
    0.18773052096366882,
    0.1907622516155243,
    0.1620267927646637,
    0.14981161057949066,
    0.1686839759349823,
    0.19302482903003693,
    0.2506676912307739,
    0.34006625413894653,
    0.38558611273765564,
    0.39498235285282135,
    0.4259338527917862,
    0.45022574067115784,
    0.4872824102640152,
    0.4841892123222351,
    0.46780945360660553,
    0.4135041981935501,
    0.33802710473537445,
    0.21653777360916138,
    0.12327505648136139,
    0.03254547715187073,
    -0.020198389887809753,
    -0.0224674791097641,
    -0.029335767030715942,
    -0.004937201738357544,
    0.05210396647453308,
    0.07524342834949493,
    0.09017005562782288,
    0.12070193886756897,
    0.1699325144290924,
    0.24883036315441132,
    0.3367898464202881,
    0.42003361880779266,
    0.4395486116409302,
    0.42819663882255554,
    0.38913100957870483,
    0.3708205372095108,
    0.3796616643667221,
    0.3707263022661209,
    0.38737909495830536,
    0.36979222297668457,
    0.342645600438118,
    0.23131215572357178,
    0.12353929877281189,
    0.07358995079994202,
    0.09270240366458893,
    0.14292187988758087,
    0.19832265377044678,
    0.22805728018283844,
    0.2956332117319107,
    0.33112306892871857,
    0.36373575031757355,
    0.3087449371814728,
    0.2643567770719528,
    0.20621047914028168,
    0.21377991139888763,
    0.2273276150226593,
    0.2779693454504013,
    0.3103335350751877,
    0.3528400808572769,
    0.4317517429590225,
    0.5138530135154724,
    0.5682017058134079,
    0.5974020808935165,
    0.6311657279729843,
    0.5842911303043365,
    0.4896371066570282,
    0.3733173906803131,
    0.23904576897621155,
    0.1485138088464737,
    0.10557448863983154,
    0.14045466482639313,
    0.16774840652942657,
    0.20423687994480133,
    0.2584166079759598,
    0.28668347001075745,
    0.2829156666994095,
    0.2300952523946762,
    0.22500360012054443,
    0.2150944173336029,
    0.24940353631973267,
    0.2540849447250366,
    0.23383845388889313,
    0.20615513622760773,
    0.13346147537231445,
    0.055165618658065796,
    -0.014748230576515198,
    -0.05403922498226166,
    -0.03695766627788544,
    0.015631049871444702,
    0.08298592269420624,
    0.14595982432365417,
    0.2325618416070938,
    0.2807118594646454,
    0.3471338450908661,
    0.3646825850009918,
    0.3200375884771347,
    0.26411013305187225,
    0.17012709379196167,
    0.13050049543380737,
    0.09939727187156677,
    0.11289186775684357,
    0.18422742187976837,
    0.3057321459054947,
    0.39224815368652344,
    0.435711145401001,
    0.44758933782577515,
    0.3801075369119644,
    0.3353208899497986,
    0.2556181401014328,
    0.19241783022880554,
    0.16017760336399078,
    0.12120628356933594,
    0.1035662591457367,
    0.1699954718351364,
    0.3081625699996948,
    0.44404296576976776,
    0.5375020802021027,
    0.6093800216913223,
    0.6356067210435867,
    0.6003136187791824,
    0.5447468310594559,
    0.44487133622169495,
    0.36005473136901855,
    0.2830639183521271,
    0.22186005115509033,
    0.21406559646129608,
    0.19842861592769623,
    0.2224670797586441,
    0.20497991144657135,
    0.22809073328971863,
    0.2744946628808975,
    0.2675349712371826,
    0.248154416680336,
    0.21151167154312134,
    0.17866437137126923,
    0.15438033640384674,
    0.1571650356054306,
    0.14721636474132538,
    0.17084763944149017,
    0.18194274604320526,
    0.18394635617733002,
    0.16335414350032806,
    0.12650066614151,
    0.09449313580989838,
    0.07002414762973785,
    0.07720132172107697,
    0.08723302185535431,
    0.07123348116874695,
    0.0431332141160965,
    0.009264007210731506,
    0.002549678087234497,
    0.04306098818778992,
    0.0831974446773529,
    0.1706140637397766,
    0.2425721287727356,
    0.3003298193216324,
    0.30108386278152466,
    0.2624226361513138,
    0.23203380405902863,
    0.21556013822555542,
    0.1792266070842743,
    0.14251235127449036,
    0.09341657161712646,
    0.09368918836116791,
    0.07350552082061768,
    0.03978261351585388,
    0.009969577193260193,
    0.010402962565422058,
    0.02762727439403534,
    0.09472595155239105,
    0.1661558896303177,
    0.21452811360359192,
    0.24691222608089447,
    0.28620730340480804,
    0.34517547488212585,
    0.39535534381866455,
    0.3835373669862747,
    0.34720946848392487,
    0.2755042314529419,
    0.17443212866783142,
    0.07820636034011841,
    0.0035270005464553833,
    -0.03917841613292694,
    -0.06339910626411438,
    -0.06689868867397308,
    0.0022286176681518555,
    0.09230716526508331,
    0.14216887950897217,
    0.1526314616203308,
    0.1614297330379486,
    0.132736474275589,
    0.1118064820766449,
    0.11983710527420044,
    0.14484542608261108,
    0.1634674370288849,
    0.1431201994419098,
    0.11875811219215393,
    0.06506311893463135,
    0.03882212936878204,
    0.010327428579330444,
    0.0511227548122406,
    0.0581965297460556,
    0.04923044145107269,
    0.057424768805503845,
    0.053595349192619324,
    0.08589768409729004,
    0.12132781744003296,
    0.17102959752082825,
    0.22514259815216064,
    0.23926612734794617,
    0.22143548727035522,
    0.1775297373533249,
    0.12641826272010803,
    0.07360945641994476,
    0.02111212909221649,
    0.009133681654930115,
    0.0017699599266052246
  ],
  "helix": [
    0.2799559012055397,
    0.2254495993256569,
    0.1694198027253151,
    0.12888101488351822,
    0.13439468294382095,
    0.12410334497690201,
    0.09847787767648697,
    0.07072237879037857,
    0.06527439504861832,
    0.12614408880472183,
    0.1942230835556984,
    0.23814550787210464,
    0.27518192678689957,
    0.30516497045755386,
    0.370697058737278,
    0.3675510361790657,
    0.38555900007486343,
    0.3941962094977498,
    0.36466460954397917,
    0.2605638289824128,
    0.20885490905493498,
    0.23171708453446627,
    0.2263101562857628,
    0.21395765244960785,
    0.13263087533414364,
    0.13886680267751217,
    0.13726233504712582,
    0.10762428771704435,
    0.11730184964835644,
    0.13810981530696154,
    0.15997591894119978,
    0.17857217602431774,
    0.22895648796111345,
    0.28438631631433964,
    0.33803523052483797,
    0.35064507089555264,
    0.314438090659678,
    0.2827175222337246,
    0.27657780330628157,
    0.31078439950942993,
    0.3289465010166168,
    0.42682086024433374,
    0.516806747764349,
    0.5226437132805586,
    0.5331016778945923,
    0.5218724254518747,
    0.5910136559978127,
    0.5958881638944149,
    0.5620637843385339,
    0.5026803640648723,
    0.45386351738125086,
    0.446471962146461,
    0.4001724570989609,
    0.372061213478446,
    0.3426451161503792,
    0.3218183843418956,
    0.3185424469411373,
    0.29867961443960667,
    0.35180775821208954,
    0.35306666791439056,
    0.4313416462391615,
    0.4892395921051502,
    0.5440655359998345,
    0.516847399994731,
    0.4533856473863125,
    0.40604252088814974,
    0.40069992933422327,
    0.38494743686169386,
    0.3294351324439049,
    0.2749400185421109,
    0.2875682236626744,
    0.2833919422701001,
    0.28909130115062,
    0.2802845761179924,
    0.23758035339415073,
    0.14671722799539566,
    0.1315130153670907,
    0.16432250663638115,
    0.19842800870537758,
    0.201160435564816,
    0.2583543211221695,
    0.4293262641876936,
    0.564294908195734,
    0.6150063201785088,
    0.626514507457614,
    0.6012479616329074,
    0.5988591015338898,
    0.563885360956192,
    0.5161676537245512,
    0.5560399275273085,
    0.5825631031766534,
    0.5795194217935205,
    0.5489861713722348,
    0.5467614261433482,
    0.5139492182061076,
    0.4591148439794779,
    0.4252468468621373,
    0.3829528847709298,
    0.34311856608837843,
    0.399859506636858,
    0.42856700252741575,
    0.4574019815772772,
    0.5371671514585614,
    0.5956196384504437,
    0.5872577773407102,
    0.6009247461333871,
    0.5772938607260585,
    0.5561677720397711,
    0.5339768128469586,
    0.44836658239364624,
    0.37781782913953066,
    0.32667037658393383,
    0.3036938635632396,
    0.25829013250768185,
    0.24360509682446718,
    0.23690783604979515,
    0.27985380589962006,
    0.31455850414931774,
    0.3203371586278081,
    0.3446859084069729,
    0.37691724859178066,
    0.42302980553358793,
    0.40728280413895845,
    0.42641127575188875,
    0.43214509449899197,
    0.4866450112313032,
    0.5336436852812767,
    0.6037711380049586,
    0.6676390366628766,
    0.7164432080462575,
    0.6991264522075653,
    0.6510426066815853,
    0.5923197129741311,
    0.5440389784052968,
    0.4802195243537426,
    0.4102720469236374,
    0.32964685186743736,
    0.23255254793912172,
    0.11933914851397276,
    0.08271446451544762,
    0.14329299423843622,
    0.16721562016755342,
    0.20800808630883694,
    0.23182186856865883,
    0.27306694723665714,
    0.2833466958254576,
    0.311957148835063,
    0.353427117690444,
    0.4459527339786291,
    0.487650727853179,
    0.47035709489136934,
    0.3918343232944608,
    0.34738617949187756,
    0.3399100210517645,
    0.40180203318595886,
    0.45482961367815733,
    0.469860871322453,
    0.4992758808657527,
    0.5499229533597827,
    0.560184839181602,
    0.5610215170308948,
    0.5998224569484591,
    0.6338433399796486,
    0.643926334567368,
    0.5844133449718356,
    0.543352079577744,
    0.537488934583962,
    0.4984782235696912,
    0.4961500624194741,
    0.457741092890501,
    0.4626059429720044,
    0.44252784829586744,
    0.4230820508673787,
    0.376654882915318,
    0.3048345921561122,
    0.2980471681803465,
    0.3210652843117714,
    0.32820513285696507,
    0.3842417197301984,
    0.36643286515027285,
    0.42550176195800304,
    0.4402551082894206,
    0.4558101939037442,
    0.4165919627994299,
    0.41913636308163404,
    0.3652349468320608,
    0.3626177413389087,
    0.37362053245306015,
    0.3704242827370763,
    0.31448244862258434,
    0.23697086423635483,
    0.20871733222156763,
    0.2268262319266796,
    0.21943550743162632,
    0.20343461260199547,
    0.17442463710904121,
    0.2604679763317108,
    0.3465033434331417,
    0.340617791749537,
    0.361864541657269,
    0.3970341244712472,
    0.4151749350130558,
    0.41601230297237635,
    0.430080640129745,
    0.443526747636497,
    0.4616612149402499,
    0.4710053727030754,
    0.4099586559459567,
    0.3860316025093198,
    0.3057980565354228,
    0.27449043188244104,
    0.29955337569117546,
    0.3763227788731456,
    0.438154268078506,
    0.42601386457681656,
    0.452495452016592,
    0.47476067021489143,
    0.4977787062525749,
    0.5276278303936124,
    0.5544885061681271,
    0.6186387659981847,
    0.6787191955372691,
    0.7257394017651677,
    0.7180616362020373,
    0.7521970169618726,
    0.7289832830429077,
    0.66087356954813,
    0.5334613369777799,
    0.47350203804671764,
    0.44592549186199903,
    0.40980468410998583,
    0.3842867175117135,
    0.35064243897795677,
    0.30371159315109253,
    0.29317500069737434,
    0.2549002319574356,
    0.22134615201503038,
    0.20529930666089058,
    0.1445213407278061,
    0.0980944000184536,
    0.047528219409286976,
    0.03821830451488495,
    0.03381540346890688,
    0.022331257350742817,
    0.06569872330874205,
    0.11469911597669125,
    0.16307830065488815,
    0.23789986222982407,
    0.3269745884463191,
    0.39421972166746855,
    0.4361395249143243,
    0.4856062987819314,
    0.49277936294674873,
    0.489840910769999,
    0.5021538101136684,
    0.4843761473894119,
    0.4740093480795622,
    0.46598898991942406,
    0.43856172263622284,
    0.42034589871764183,
    0.3740852624177933,
    0.29753904789686203,
    0.24343177117407322,
    0.2319012237712741,
    0.24021288380026817,
    0.2773659620434046,
    0.31214800756424665,
    0.3826103014871478,
    0.4283753680065274,
    0.47610065434128046,
    0.47092456836253405,
    0.42361938674002886,
    0.3543543266132474,
    0.2755117807537317,
    0.20555183291435242,
    0.2156492816284299,
    0.2528541646897793,
    0.3697096509858966,
    0.4307209625840187,
    0.418090283870697,
    0.3796692593023181,
    0.33438587188720703,
    0.31602446362376213,
    0.2879381626844406,
    0.2592081017792225,
    0.3001935165375471,
    0.2721984935924411,
    0.25983618292957544,
    0.2689394662156701,
    0.22247562278062105,
    0.18204598128795624,
    0.1862589567899704,
    0.23617969453334808,
    0.29621902387589216,
    0.29400109127163887,
    0.2817197637632489,
    0.2861869614571333,
    0.27747170627117157,
    0.24661077093333006,
    0.2862709164619446,
    0.2749280212447047,
    0.25236910581588745,
    0.22144105285406113,
    0.20946546830236912,
    0.2355966866016388,
    0.21058106143027544,
    0.23145765345543623,
    0.22532812040299177,
    0.27620366495102644,
    0.30905189737677574,
    0.39583342894911766,
    0.41714115999639034,
    0.43344647716730833,
    0.4404730498790741,
    0.49748315662145615,
    0.5688616884872317,
    0.5846473285928369,
    0.5787215931341052,
    0.6082822717726231,
    0.6061919657513499,
    0.5987132154405117,
    0.512201483361423,
    0.5196034591645002,
    0.48935885168612003,
    0.4795323461294174,
    0.46647786535322666,
    0.4595046527683735,
    0.4323178129270673,
    0.40243974328041077,
    0.36912210285663605,
    0.3425117991864681,
    0.3520851917564869,
    0.38686676137149334,
    0.40272919088602066,
    0.42396023496985435,
    0.4877734826877713,
    0.5346021102741361,
    0.5756742786616087,
    0.5613873824477196,
    0.546481903642416,
    0.540389021858573,
    0.4610207872465253,
    0.3876105286180973,
    0.3316829763352871,
    0.2776697678491473,
    0.3219692539423704,
    0.40015163738280535,
    0.46164365392178297,
    0.5404764544218779,
    0.5897743906825781,
    0.590857851319015,
    0.5909548960626125,
    0.5519723864272237,
    0.5254450030624866,
    0.472052494995296,
    0.3939918838441372,
    0.37843185290694237,
    0.4474321948364377,
    0.5092707620933652,
    0.4907650351524353,
    0.49891506135463715,
    0.4747365266084671,
    0.4641099236905575,
    0.4468523394316435,
    0.4166469546034932,
    0.38004627637565136,
    0.2882098164409399,
    0.24356823787093163,
    0.21439141035079956,
    0.2346628112718463,
    0.26931430120021105,
    0.2961226748302579,
    0.25644733756780624,
    0.17653339635580778,
    0.12945312540978193,
    0.14517740719020367,
    0.20893907360732555,
    0.23357273265719414,
    0.20654931385070086,
    0.16797227784991264,
    0.17667749989777803,
    0.14409441035240889,
    0.13141162227839231,
    0.16782443318516016,
    0.20237391628324986,
    0.18329500406980515,
    0.16791967302560806,
    0.14366776030510664,
    0.22122516203671694,
    0.24774866364896297,
    0.3094157977029681,
    0.3610801063477993,
    0.3683822760358453,
    0.365815413184464,
    0.3950431915000081,
    0.48388176783919334,
    0.5351393828168511,
    0.617262315005064,
    0.7043279530480504,
    0.7460386864840984,
    0.7731250058859587,
    0.7764444081112742,
    0.7596166105940938,
    0.683024481870234,
    0.6563895298168063,
    0.623140374198556,
    0.5527929253876209,
    0.47576108388602734,
    0.4318345636129379,
    0.385845435783267,
    0.32801535446196795,
    0.32525712717324495,
    0.3841246422380209,
    0.3935457142069936,
    0.4081371547654271,
    0.49576721619814634,
    0.5729251634329557,
    0.6296144779771566,
    0.6588251041248441,
    0.6942983074113727,
    0.6925548212602735,
    0.7372952997684479,
    0.7411145912483335,
    0.7389276009052992,
    0.7289826469495893,
    0.6653774715960026,
    0.6225607842206955,
    0.5466437144204974,
    0.46645717788487673,
    0.3866872815415263,
    0.36057666689157486,
    0.3118254039436579,
    0.28252275846898556,
    0.2896552439779043,
    0.2440118445083499,
    0.22028635535389185,
    0.18636659812182188,
    0.14399924501776695,
    0.15086302626878023,
    0.21401530969887972,
    0.24394924566149712,
    0.25625164806842804,
    0.2998195895925164,
    0.3344752686098218,
    0.32226131577044725,
    0.23982103634625673,
    0.17109353840351105,
    0.1846733121201396,
    0.24841173086315393,
    0.29000863526016474,
    0.27172278985381126,
    0.27117348462343216,
    0.3185748979449272,
    0.3800835832953453,
    0.42532690800726414,
    0.5179606191813946,
    0.5690636243671179,
    0.5893587591126561,
    0.6149095119908452,
    0.6277915798127651,
    0.6353873172774911,
    0.6482153655961156,
    0.679861948825419,
    0.7097041020169854,
    0.6727262316271663,
    0.680882859043777,
    0.6640888135880232,
    0.605645690113306,
    0.5593950496986508,
    0.4916835008189082,
    0.4241976300254464,
    0.3804684169590473,
    0.37043797597289085,
    0.36083979718387127,
    0.350057085044682,
    0.33565614093095064,
    0.39381867460906506,
    0.4399736858904362,
    0.5133974030613899,
    0.53544613532722,
    0.5671340953558683,
    0.5966461496427655,
    0.5732492851093411,
    0.5307881785556674,
    0.550208805128932,
    0.534397229552269,
    0.5206534909084439,
    0.5115306116640568,
    0.5403578076511621,
    0.5343549605458975,
    0.5139864310622215,
    0.501877361908555,
    0.5029833652079105,
    0.498370299115777,
    0.532244373112917,
    0.5427035093307495,
    0.5670583825558424,
    0.5563012287020683,
    0.563247044570744,
    0.5456599751487374,
    0.562032182700932,
    0.5731979636475444,
    0.5879461131989956,
    0.5911683067679405,
    0.6277404027059674,
    0.6269366294145584,
    0.5975118409842253,
    0.5712990909814835,
    0.5686005838215351,
    0.5666032377630472,
    0.5908105708658695,
    0.6035389509052038,
    0.5722174970433116,
    0.5422130189836025,
    0.5363897578790784,
    0.5086468309164047,
    0.4925326481461525,
    0.4876694642007351,
    0.45960131753236055,
    0.4043487720191479,
    0.3769085519015789,
    0.38589511811733246,
    0.41851163376122713,
    0.41424235235899687,
    0.4248581500723958,
    0.3691116878762841,
    0.3057841369882226,
    0.27476783469319344,
    0.289664383046329,
    0.33629981242120266,
    0.34302035067230463,
    0.394781562499702,
    0.363656816072762,
    0.3301982283592224,
    0.3596767680719495,
    0.3587665306404233,
    0.39263671915978193,
    0.34647369012236595,
    0.3121666833758354,
    0.2769130291417241,
    0.25889347959309816,
    0.26299346797168255,
    0.3064840706065297,
    0.2935663042590022,
    0.2851851526647806,
    0.3237357512116432,
    0.3617709670215845,
    0.44447112549096346,
    0.5312207601964474,
    0.6426110723987222,
    0.6839892268180847,
    0.616138894110918,
    0.5759615050628781,
    0.5595441432669759,
    0.5390932271257043,
    0.5404818756505847,
    0.5255024433135986,
    0.5595216108486056,
    0.5463062059134245,
    0.5668773027136922,
    0.5246327184140682,
    0.5048947166651487,
    0.4909869460389018,
    0.5043625710532069,
    0.4435229264199734,
    0.4917508317157626,
    0.5065561812371016,
    0.487210582010448,
    0.4611608190461993,
    0.45948843751102686,
    0.45726111624389887,
    0.48490511160343885,
    0.4925029678270221,
    0.490095317363739,
    0.48845409136265516,
    0.46025694720447063,
    0.42363413237035275,
    0.38920477498322725,
    0.3578784419223666,
    0.3088620575144887,
    0.28429269418120384,
    0.25156233739107847,
    0.24097028654068708,
    0.262048508040607,
    0.2647566022351384,
    0.2895884374156594,
    0.30295688938349485,
    0.27126074582338333,
    0.26693684328347445,
    0.3013326656073332,
    0.29578087758272886,
    0.35815700702369213,
    0.34768770448863506,
    0.35392051562666893,
    0.3839074429124594,
    0.41236614622175694,
    0.4252528678625822,
    0.42439258098602295,
    0.37844275031238794,
    0.3178429566323757,
    0.2559797177091241,
    0.19095968920737505,
    0.22487652581185102,
    0.2879262128844857,
    0.34438635129481554,
    0.3628545217216015,
    0.4033593097701669,
    0.3938101651147008,
    0.4093212513253093,
    0.3811170104891062,
    0.394188285805285,
    0.40610648784786463,
    0.3879628339782357,
    0.3219123659655452,
    0.27750167716294527,
    0.26152311358600855,
    0.33634326979517937,
    0.36672762781381607,
    0.41245030611753464,
    0.40642071049660444,
    0.4518426153808832,
    0.5030706524848938,
    0.5228642420843244,
    0.5339759038761258,
    0.5201522381976247,
    0.5216757403686643,
    0.5124602662399411,
    0.45566703099757433,
    0.4340576361864805,
    0.3961435090750456,
    0.3874366544187069,
    0.3609326658770442,
    0.3341786218807101,
    0.3136870441958308,
    0.3066727025434375,
    0.30629102885723114,
    0.3490870390087366,
    0.36873758118599653,
    0.3724961830303073,
    0.38430639542639256,
    0.44917543698102236,
    0.4905235515907407,
    0.49516351241618395,
    0.4514504000544548,
    0.4856946123763919,
    0.573269359767437,
    0.6520490767434239,
    0.6345868362113833,
    0.592162293381989,
    0.5621390920132399,
    0.559734103269875,
    0.4891834883019328,
    0.43561383709311485,
    0.3829900734126568,
    0.3215323844924569,
    0.27827840857207775,
    0.2213103724643588,
    0.23125517647713423,
    0.23321914672851562,
    0.19933657720685005,
    0.21512237656861544,
    0.22115319781005383,
    0.25422393064945936,
    0.25596852600574493,
    0.2603711290284991,
    0.281351656652987,
    0.2520944783464074,
    0.23580696433782578,
    0.2293482394888997,
    0.25987857207655907,
    0.2564612030982971,
    0.23585045337677002,
    0.30344434827566147,
    0.38521869853138924,
    0.5061928555369377,
    0.5861791037023067,
    0.6048463582992554,
    0.6595037467777729,
    0.6277536973357201,
    0.578092691488564,
    0.5642158789560199,
    0.5083922054618597,
    0.48387554101645947,
    0.4731627479195595,
    0.4550622133538127,
    0.476591506972909,
    0.5074029536917806,
    0.44307681638747454,
    0.40323025453835726,
    0.2771356012672186,
    0.21140349190682173,
    0.1121181370690465,
    0.1412137160077691,
    0.14762460067868233,
    0.2283700704574585,
    0.38053125608712435,
    0.4977227495983243,
    0.5489234682172537,
    0.614754494279623,
    0.6392844431102276,
    0.6960301026701927,
    0.7284686146304011,
    0.7719833850860596,
    0.779651234857738,
    0.8036591717973351,
    0.7767338268458843,
    0.7447626888751984,
    0.7244117306545377,
    0.6834806064143777,
    0.6863669902086258,
    0.6919818678870797,
    0.6727858455851674,
    0.6405440894886851,
    0.5870219804346561,
    0.5599383860826492,
    0.5756437666714191,
    0.5348387463018298,
    0.4700815733522177,
    0.3963128635659814,
    0.3481558561325073,
    0.28954677376896143,
    0.3119838433340192,
    0.29903588257730007,
    0.2632226198911667,
    0.21265519689768553,
    0.11824409198015928,
    0.0664124395698309,
    0.03599494695663452,
    0.05173260439187288,
    0.06790973618626595,
    0.15854337811470032,
    0.2625205172225833,
    0.34919636510312557,
    0.4624955039471388,
    0.5075092017650604,
    0.5567546337842941,
    0.5413097962737083,
    0.5428877826780081,
    0.5162045089527965,
    0.48360650334507227,
    0.45530849415808916,
    0.414417227730155,
    0.4132123216986656,
    0.3866699580103159,
    0.39131858944892883,
    0.3711702795699239,
    0.3351989509537816,
    0.30812684912234545,
    0.2619895879179239,
    0.2980395704507828,
    0.36406085174530745,
    0.3913611928001046,
    0.4532544016838074,
    0.5040213176980615,
    0.576592986471951,
    0.623453252017498,
    0.6606594584882259,
    0.6740144984796643,
    0.6804292621091008,
    0.65721320733428,
    0.5958217335864902,
    0.5384030304849148,
    0.5422424329444766,
    0.527920831926167,
    0.4890307439491153,
    0.45989800710231066,
    0.39567782264202833,
    0.3837174214422703,
    0.3350585224106908,
    0.2491436554118991,
    0.23509359918534756,
    0.12520518526434898,
    0.06701454985886812,
    0.10392172448337078,
    0.11895628366619349,
    0.16745986510068178,
    0.24135382007807493,
    0.34632707200944424,
    0.3877525934949517,
    0.4376896247267723,
    0.47963893227279186,
    0.4805904757231474,
    0.47342444211244583,
    0.4281651936471462,
    0.38340581580996513,
    0.40866921935230494,
    0.42025300301611423,
    0.3640147354453802,
    0.3041239604353905,
    0.2521741120144725,
    0.21719353180378675,
    0.22844084165990353,
    0.2690784577280283,
    0.3286666003987193,
    0.37529147136956453,
    0.41056590899825096,
    0.43078280705958605,
    0.4172335909679532,
    0.38046212028712034,
    0.3517017960548401,
    0.28518362808972597,
    0.24918680172413588,
    0.21743237972259521,
    0.24017115402966738,
    0.30678431969136,
    0.3391356747597456,
    0.3695512190461159,
    0.36124840658158064,
    0.3457959396764636,
    0.3110881866887212,
    0.29884735960513353,
    0.2630241457372904,
    0.21060893964022398,
    0.20516685862094164,
    0.19933283422142267,
    0.2272648960351944,
    0.30248476658016443,
    0.30707219522446394,
    0.3200317770242691,
    0.30343068204820156,
    0.3061033133417368,
    0.28956565260887146,
    0.27324403915554285,
    0.2574545945972204,
    0.2713802261278033,
    0.3200609050691128,
    0.3208171036094427,
    0.33727962244302034,
    0.401048269122839,
    0.4805738888680935,
    0.5679376870393753,
    0.5983030591160059,
    0.6361931525170803,
    0.6133206086233258,
    0.5646456079557538,
    0.532475677318871,
    0.47806983441114426,
    0.4618023158982396,
    0.4346971660852432,
    0.4000153550878167,
    0.3997713876888156,
    0.36252889037132263,
    0.34777754824608564,
    0.3126724772155285,
    0.3023230377584696,
    0.30742430314421654,
    0.2889848165214062,
    0.27984484285116196,
    0.3091238783672452,
    0.34184341598302126,
    0.3652630727738142,
    0.38551062904298306,
    0.42803260684013367,
    0.46921780426055193,
    0.5095798224210739,
    0.5554433474317193,
    0.553051476366818,
    0.5369970742613077,
    0.5281937923282385,
    0.49651345890015364,
    0.5149148032069206,
    0.5004504946991801,
    0.498453046195209,
    0.5322649106383324,
    0.49058860167860985,
    0.48886319249868393,
    0.5066949753090739,
    0.5086319297552109,
    0.5401530461385846,
    0.5504004685208201,
    0.5929756835103035,
    0.5641609104350209,
    0.5718878256157041,
    0.5807747291401029,
    0.6285823117941618,
    0.6645841784775257,
    0.7266442803665996,
    0.7160809002816677,
    0.6991279618814588,
    0.6387833133339882,
    0.5651129754260182,
    0.4666516976431012,
    0.3823082987219095,
    0.2631131764501333,
    0.15140279103070498,
    0.06934797205030918,
    0.14123484957963228,
    0.22459139954298735,
    0.30935872811824083,
    0.3607224728912115,
    0.44340017531067133,
    0.5421139542013407,
    0.6357275024056435,
    0.6420167796313763,
    0.710103620775044,
    0.6988881872966886,
    0.7081836136057973,
    0.6945273326709867,
    0.6999246450141072,
    0.6588709130883217,
    0.6271687224507332,
    0.5751066580414772,
    0.5423694178462029,
    0.4880972383543849,
    0.44569245260208845,
    0.4201340936124325,
    0.3706906298175454,
    0.3176048956811428,
    0.3731064647436142,
    0.44056622218340635,
    0.48351396154612303,
    0.5366932405158877,
    0.5856936722993851,
    0.5584482662379742,
    0.5099649773910642,
    0.5079739205539227,
    0.5390394106507301,
    0.523854156024754,
    0.5036248015239835,
    0.5221331547945738,
    0.4984597060829401,
    0.4421923654153943,
    0.42196813225746155,
    0.46260311733931303,
    0.4711782932281494,
    0.4505271892994642,
    0.4203051654621959,
    0.4585190527141094,
    0.523359696380794,
    0.6194928027689457,
    0.6299044713377953,
    0.6742765763774514,
    0.6416515568271279,
    0.6230968441814184,
    0.5608827881515026,
    0.49370141606777906,
    0.42537660896778107,
    0.3877620827406645,
    0.3795165345072746,
    0.3765746997669339,
    0.39344005566090345,
    0.35778737533837557,
    0.40600587986409664,
    0.4460657639428973,
    0.4555417262017727,
    0.45967417676001787,
    0.4272735007107258,
    0.3981269793584943,
    0.32390036061406136,
    0.2747031347826123,
    0.22682211361825466,
    0.20929654967039824,
    0.19382085371762514,
    0.24047107063233852,
    0.27788950130343437,
    0.2609276566654444,
    0.3017115890979767,
    0.32517941761761904,
    0.3144614892080426,
    0.33864658884704113,
    0.37385603226721287,
    0.3820897229015827,
    0.42521985433995724,
    0.47051131818443537,
    0.47687784396111965,
    0.46309352945536375,
    0.4224889539182186,
    0.3523014932870865,
    0.29492589458823204,
    0.3053724132478237,
    0.28463536128401756,
    0.2382454350590706,
    0.18672845885157585,
    0.20875635370612144,
    0.3259266121312976,
    0.3604521108791232,
    0.3661491544917226,
    0.3402800066396594,
    0.37172480300068855,
    0.4253787212073803,
    0.499502164311707,
    0.5404473496600986,
    0.5642677964642644,
    0.528101209551096,
    0.4997341828420758,
    0.46461855340749025,
    0.34357747714966536,
    0.26470903120934963,
    0.18730286043137312,
    0.170305491425097,
    0.2113303253427148,
    0.25046347361057997,
    0.2657429836690426,
    0.2578556165099144,
    0.29425863455981016,
    0.3382787434384227,
    0.3883298793807626,
    0.38527850341051817,
    0.40901723224669695,
    0.4712229771539569,
    0.5295717073604465,
    0.5480141546577215,
    0.5889952704310417,
    0.605972052551806,
    0.6475316463038325,
    0.6334054367616773,
    0.6153967855498195,
    0.66999292653054,
    0.6643356503918767,
    0.6614817706868052,
    0.6808210574090481,
    0.690373326651752,
    0.6934656389057636,
    0.6911028623580933,
    0.6523575857281685,
    0.684864753857255,
    0.7181916581466794,
    0.7186110354959965,
    0.7183639658614993,
    0.7376268254593015,
    0.7441902384161949,
    0.7499712985008955,
    0.7585325492545962,
    0.7256430517882109,
    0.7529618795961142,
    0.716138924472034,
    0.7220552833750844,
    0.6553207682445645,
    0.6158674014732242,
    0.6131946267560124,
    0.649297391064465,
    0.6966887908056378,
    0.698783096857369,
    0.6980034364387393,
    0.6630427967756987,
    0.6462535001337528,
    0.6293243961408734,
    0.623551731929183,
    0.6071182694286108,
    0.6301112184301019,
    0.6609732368960977,
    0.6401240425184369,
    0.6121990876272321,
    0.5839143497869372,
    0.6074905898422003,
    0.6503900596871972,
    0.6863364679738879,
    0.719099884852767,
    0.7601141072809696,
    0.7729122834280133,
    0.7263241456821561,
    0.6448410907760262,
    0.5949410255998373,
    0.6063714725896716,
    0.5698308767750859,
    0.5327915204688907,
    0.5410529570654035,
    0.55053208488971,
    0.5590103315189481,
    0.5196970161050558,
    0.45887191127985716,
    0.4938691556453705,
    0.5192268006503582,
    0.5793669708073139,
    0.6125096688047051,
    0.6336071351543069,
    0.633816565386951,
    0.6275173332542181,
    0.664766157977283,
    0.678754941560328,
    0.6875380482524633,
    0.7137672631070018,
    0.7413165085017681,
    0.7967198537662625,
    0.8456920562312007,
    0.8579590125009418,
    0.887796126306057,
    0.8863453967496753,
    0.881990659981966,
    0.8769164141267538,
    0.8587994398549199,
    0.8409305810928345,
    0.779993399977684,
    0.7667793668806553,
    0.744819070212543,
    0.7674725279211998,
    0.7593761058524251,
    0.7881675809621811,
    0.8148756725713611,
    0.8443608023226261,
    0.8294021980836987,
    0.8315923064947128,
    0.8141104690730572,
    0.8174219578504562,
    0.8185177743434906,
    0.8399921655654907,
    0.8054339485242963,
    0.7522684978321195,
    0.7413616431877017,
    0.7046667784452438,
    0.6714422665536404,
    0.695929647423327,
    0.7134742494672537,
    0.7119130492210388,
    0.6914248885586858,
    0.6194316791370511,
    0.5465978216379881,
    0.5148058738559484,
    0.5181226832792163,
    0.5530288126319647,
    0.5575617216527462,
    0.5770148234441876,
    0.5967302303761244,
    0.6126498030498624,
    0.6182629521936178,
    0.6096416562795639,
    0.6043785959482193,
    0.5898650288581848,
    0.6604480007663369,
    0.6657743193209171,
    0.6993877748027444,
    0.7343902988359332,
    0.7208687169477344,
    0.715031586587429,
    0.6896571824327111,
    0.6392919477075338,
    0.6431214334443212,
    0.6246978752315044,
    0.6522929184138775,
    0.6490940358489752,
    0.6412580516189337,
    0.603539964184165,
    0.5870929779484868,
    0.5687522636726499,
    0.5855809599161148,
    0.621782049536705,
    0.6606071451678872,
    0.6625565746799111,
    0.6529560247436166,
    0.6609465731307864,
    0.6470961421728134,
    0.6231295075267553,
    0.6153063485398889,
    0.5691676512360573,
    0.5661701112985611,
    0.5222736708819866,
    0.48430045507848263,
    0.4352454226464033,
    0.384648647159338,
    0.40809883922338486,
    0.43897502683103085,
    0.46442916616797447,
    0.4662163956090808,
    0.5569326262921095,
    0.6042195213958621,
    0.5979859437793493,
    0.591200016438961,
    0.6148242875933647,
    0.6383197912946343,
    0.6614755252376199,
    0.6684811310842633,
    0.675753747113049,
    0.6483455402776599,
    0.5718098841607571,
    0.514108145609498,
    0.4392079273238778,
    0.3897575791925192,
    0.2983521670103073,
    0.20999574195593596,
    0.1927174087613821,
    0.24566353857517242,
    0.28888494335114956,
    0.30145085882395506,
    0.2914451863616705,
    0.31204673182219267,
    0.26929255574941635,
    0.2957240492105484,
    0.25667733419686556,
    0.23226354271173477,
    0.1763810496777296,
    0.1683214260265231,
    0.11629961989820004,
    0.1539042042568326,
    0.15720373950898647,
    0.17735972814261913,
    0.1316800657659769,
    0.05206803232431412,
    -0.01373040396720171,
    -0.07237129099667072,
    -0.08640209957957268,
    -0.023116737604141235,
    -4.425179213285446e-05,
    0.020828206092119217,
    0.07892364542931318,
    0.16537331137806177,
    0.23320398479700089,
    0.29488253593444824,
    0.36373744532465935,
    0.4061027020215988,
    0.46573400124907494,
    0.46640071738511324,
    0.4729697685688734,
    0.4912510672584176,
    0.45295054744929075,
    0.45556968450546265,
    0.4907112531363964,
    0.5061545046046376,
    0.4703658251091838,
    0.40748217329382896,
    0.38086991012096405,
    0.37396290991455317,
    0.39086358062922955,
    0.393276778049767,
    0.41904319915920496,
    0.38417188450694084,
    0.333649049513042,
    0.34796274919062853,
    0.31184643786400557,
    0.3068337198346853,
    0.3700332650914788,
    0.3471607640385628,
    0.33035174012184143,
    0.3664799341931939,
    0.4358286242932081,
    0.4194179456681013,
    0.3955128649249673,
    0.34604742377996445,
    0.3740146718919277,
    0.31104694679379463,
    0.29561753664165735,
    0.3384996633976698,
    0.3954988829791546,
    0.44707835000008345,
    0.4828918632119894,
    0.5110163101926446,
    0.5210379026830196,
    0.5085503663867712,
    0.48978175036609173,
    0.4326220713555813,
    0.39713704213500023,
    0.33950065448880196,
    0.2396053345873952,
    0.23940564785152674,
    0.23213702905923128,
    0.2970314398407936,
    0.37274263612926006,
    0.42317916080355644,
    0.4336103079840541,
    0.4819292603060603,
    0.5001146569848061,
    0.5271827084943652,
    0.5586648685857654,
    0.5007946323603392,
    0.3932694997638464,
    0.3396881967782974,
    0.36491025518625975,
    0.39887307211756706,
    0.4305820120498538,
    0.46464991196990013,
    0.5136488974094391,
    0.5555944629013538,
    0.557508465833962,
    0.5775844948366284,
    0.5354502452537417,
    0.49434016458690166,
    0.49222506303340197,
    0.43872496858239174,
    0.42652531433850527,
    0.43571827188134193,
    0.4193244632333517,
    0.4532208424061537,
    0.48807460628449917,
    0.4993663905188441,
    0.5294633563607931,
    0.5276643745601177,
    0.5508937882259488,
    0.5816071014851332,
    0.6259821178391576,
    0.6826615082100034,
    0.7040536375716329,
    0.7099339617416263,
    0.726366676390171,
    0.7131536826491356,
    0.713909063488245,
    0.7272600382566452,
    0.7529947068542242,
    0.767174243927002,
    0.745808444917202,
    0.677846809849143,
    0.5975080858916044,
    0.50944509729743,
    0.43487717770040035,
    0.3269798066467047,
    0.2402493404224515,
    0.1491756346076727,
    0.03285485319793224,
    -0.06621874403208494,
    -0.12361318059265614,
    -0.0809882776811719,
    0.058979570865631104,
    0.20028378162533045,
    0.2851931853219867,
    0.2791661135852337,
    0.30058032739907503,
    0.3136794101446867,
    0.29928717482835054,
    0.33680877555161715,
    0.3520245626568794,
    0.3568243719637394,
    0.30568421445786953,
    0.2660955749452114,
    0.2888483600690961,
    0.25276581943035126,
    0.16176414489746094,
    0.055742026306688786,
    -0.05573228374123573,
    -0.0909587861970067,
    -0.10186414793133736,
    -0.12077412195503712,
    -0.20203726273030043,
    -0.21839145757257938,
    -0.12902753986418247,
    0.013128251768648624,
    0.11897079274058342,
    0.19576012529432774,
    0.252436650916934,
    0.3015942024067044,
    0.38451017811894417,
    0.40184453409165144,
    0.47379146330058575,
    0.516983151435852,
    0.5610285745933652,
    0.5657692803069949,
    0.5407615415751934,
    0.5084157316014171,
    0.4791323449462652,
    0.5012620687484741,
    0.5171939823776484,
    0.46847676020115614,
    0.43909010011702776,
    0.3979617916047573,
    0.3778077643364668,
    0.3900524042546749,
    0.38708969578146935,
    0.36596722435206175,
    0.365972563624382,
    0.33950988575816154,
    0.3424553321674466,
    0.32589362375438213,
    0.34488840866833925,
    0.34314699936658144,
    0.3174758814275265,
    0.3261554650962353,
    0.2660269569605589,
    0.23887860588729382,
    0.1767411045730114,
    0.1489968253299594,
    0.1594458594918251,
    0.1588856242597103,
    0.187886081635952,
    0.14999542105942965,
    0.15481297485530376,
    0.1495710127055645,
    0.12796055153012276,
    0.17593172285705805,
    0.24843257293105125,
    0.26530897337943316,
    0.2822625618427992,
    0.34707631170749664,
    0.36575352866202593,
    0.3756353007629514,
    0.37863617669790983,
    0.3911264194175601,
    0.372487667016685,
    0.34248876199126244,
    0.33435757737606764,
    0.3047446087002754,
    0.3271745750680566,
    0.3371583931148052,
    0.364772941917181,
    0.39894504472613335,
    0.45618924777954817,
    0.4950273260474205,
    0.520381192676723,
    0.5024358304217458,
    0.4539167694747448,
    0.3871764298528433,
    0.344856989569962,
    0.30711460392922163,
    0.2935771942138672,
    0.32135476637631655,
    0.36412573978304863,
    0.35503076016902924,
    0.33496488258242607,
    0.312557521276176,
    0.2922705691307783,
    0.2594213280826807,
    0.2870634011924267,
    0.3175013028085232,
    0.3416229486465454,
    0.36639714054763317,
    0.37038266379386187,
    0.34399876464158297,
    0.3183164671063423,
    0.3657049210742116,
    0.41579651832580566,
    0.4552440885454416,
    0.44877407420426607,
    0.4260582998394966,
    0.39396279864013195,
    0.3942066626623273,
    0.3353232629597187,
    0.2967420406639576,
    0.2569550583139062,
    0.24773454293608665,
    0.2176710031926632,
    0.21488983742892742,
    0.2570783607661724,
    0.28079879377037287,
    0.2537624631077051,
    0.229948909021914,
    0.22332847863435745,
    0.2343614725396037,
    0.3031488312408328,
    0.3348960028961301,
    0.2595873698592186,
    0.2361720772460103,
    0.26509934291243553,
    0.3146723909303546,
    0.3213115343824029,
    0.31631336733698845,
    0.37526107113808393,
    0.39521897956728935,
    0.40669255424290895,
    0.4010986564680934,
    0.4090579990297556,
    0.44556650053709745,
    0.5030244989320636,
    0.5459454469382763,
    0.5613650688901544,
    0.5611398546025157,
    0.543589155189693,
    0.4838231159374118,
    0.4892189772799611,
    0.4580551413819194,
    0.4252062188461423,
    0.38310622423887253,
    0.38074747659265995,
    0.36531617026776075,
    0.35829610750079155,
    0.41594634484499693,
    0.4678162531927228,
    0.4832201125100255,
    0.46490677632391453,
    0.4543268643319607,
    0.4866701075807214,
    0.47993894945830107,
    0.48392764292657375,
    0.46082844119518995,
    0.4475192353129387,
    0.4342114822939038,
    0.40566829312592745,
    0.3724486958235502,
    0.38373136799782515,
    0.364991782233119,
    0.3046257318928838,
    0.26296515204012394,
    0.18212580680847168,
    0.14914706349372864,
    0.12373757176101208,
    0.1416216343641281,
    0.15325077343732119,
    0.16706582345068455,
    0.15751827228814363,
    0.1744195343926549,
    0.22587351594120264,
    0.24975794833153486,
    0.23005176149308681,
    0.19907942228019238,
    0.21420891024172306,
    0.22493273578584194,
    0.2599996831268072,
    0.2692786417901516,
    0.3172129960730672,
    0.42821787390857935,
    0.5038320384919643,
    0.5856641232967377,
    0.6067264303565025,
    0.5901721240952611,
    0.5768562955781817,
    0.5391654381528497,
    0.4848434068262577,
    0.43225869815796614,
    0.41550111398100853,
    0.44062622357159853,
    0.5365455327555537,
    0.5955568496137857,
    0.6736628841608763,
    0.7150540016591549,
    0.7375684790313244,
    0.7497079549357295,
    0.7631222037598491,
    0.7775041647255421,
    0.7725189672783017,
    0.7376424744725227,
    0.7007160261273384,
    0.6253197537735105,
    0.6251235287636518,
    0.6785102263092995,
    0.7185954051092267,
    0.7063648728653789,
    0.6880774740129709,
    0.6811721455305815,
    0.662335179746151,
    0.6213337760418653,
    0.6166263949126005,
    0.6179098691791296,
    0.5658556623384356,
    0.5785870179533958,
    0.5857908232137561,
    0.6487724231556058,
    0.6542317969724536,
    0.7043741447851062,
    0.7447509421035647,
    0.7117311088368297,
    0.6898900996893644,
    0.6555952504277229,
    0.6329673361033201,
    0.5809508757665753,
    0.503758748061955,
    0.4574097376316786,
    0.4396360022947192,
    0.43793694768100977,
    0.4157212879508734,
    0.38579269777983427,
    0.3692818535491824,
    0.3741589728742838,
    0.3683839412406087,
    0.3740982571616769,
    0.3593954788520932,
    0.335133446380496,
    0.32845769077539444,
    0.3283948879688978,
    0.28720409236848354,
    0.29487114399671555,
    0.3468349874019623,
    0.3968574805185199,
    0.37676718086004257,
    0.40006142295897007,
    0.41693581733852625,
    0.4252078514546156,
    0.38335414975881577,
    0.38009123783558607,
    0.3465158846229315,
    0.3234990397468209,
    0.3005884885787964,
    0.37470906786620617,
    0.4393000463023782,
    0.4528376208618283,
    0.4573335833847523,
    0.4301711767911911,
    0.4123919038102031,
    0.3973444662988186,
    0.3527252785861492,
    0.3461974076926708,
    0.3307335926219821,
    0.3526243530213833,
    0.3666297122836113,
    0.3716900898143649,
    0.4001599308103323,
    0.3889532573521137,
    0.43414814583957195,
    0.4579253252595663,
    0.4663256136700511,
    0.4465874545276165,
    0.4784894548356533,
    0.4802308576181531,
    0.48230857122689486,
    0.5265900455415249,
    0.5802604304626584,
    0.5880941925570369,
    0.643667558208108,
    0.6744038872420788,
    0.6536635933443904,
    0.5961784198880196,
    0.5092336982488632,
    0.43701225332915783,
    0.38649282325059175,
    0.3720407960936427,
    0.37010713294148445,
    0.34012356866151094,
    0.2795689105987549,
    0.17192712053656578,
    0.045262535102665424,
    0.00894167646765709,
    0.048881848342716694,
    0.0425555482506752,
    -0.0064272163435816765,
    0.04710838198661804,
    0.10896700620651245,
    0.235571195371449,
    0.29138246178627014,
    0.32000411581248045,
    0.3547571375966072,
    0.33145315665751696,
    0.2857307456433773,
    0.20325137302279472,
    0.1348748467862606,
    0.06571722030639648,
    0.03193130809813738,
    0.05203696060925722,
    0.10324080567806959,
    0.14199815969914198,
    0.16628927737474442,
    0.2234607758000493,
    0.28707130812108517,
    0.3820336041972041,
    0.4360499866306782,
    0.43093487061560154,
    0.3967874236404896,
    0.37916510831564665,
    0.37643669079989195,
    0.3887577634304762,
    0.37855214439332485,
    0.37405606359243393,
    0.36568258702754974,
    0.3601018600165844,
    0.36302660685032606,
    0.40794374141842127,
    0.4594613118097186,
    0.4930948577821255,
    0.5037784241139889,
    0.4990922901779413,
    0.4459978826344013,
    0.4549463167786598,
    0.429190082475543,
    0.426044006831944,
    0.39264992997050285,
    0.3461133763194084,
    0.36055094934999943,
    0.36346102971583605,
    0.38827561400830746,
    0.36642916966229677,
    0.34762193262577057,
    0.3146118465811014,
    0.23933939170092344,
    0.14343734551221132,
    0.10085004847496748,
    0.1424805261194706,
    0.16648583114147186,
    0.17252953443676233,
    0.1557505801320076,
    0.17003848124295473,
    0.17409443482756615,
    0.15581806283444166,
    0.1903885630890727,
    0.22749230824410915,
    0.3124038139358163,
    0.37585897371172905,
    0.3793932870030403,
    0.3746903743594885,
    0.36976063065230846,
    0.35581853706389666,
    0.3087648255750537,
    0.24100336991250515,
    0.17857909481972456,
    0.20147558487951756,
    0.27220172714442015,
    0.26983314380049706,
    0.24215371534228325,
    0.13811629638075829,
    0.1218554051592946,
    0.1682931510731578,
    0.2305879108607769,
    0.2530880244448781,
    0.273670238442719,
    0.2476476328447461,
    0.2477344535291195,
    0.29142712615430355,
    0.3904397916048765,
    0.49802468717098236,
    0.5188622055575252,
    0.551464855670929,
    0.5659469123929739,
    0.5214254288002849,
    0.4728439310565591,
    0.40848494600504637,
    0.35531828831881285,
    0.2885688189417124,
    0.2495575575158,
    0.2593309208750725,
    0.2750565828755498,
    0.3180510578677058,
    0.33036117721349,
    0.32988187298178673,
    0.3573864260688424,
    0.3202793626114726,
    0.3414412038400769,
    0.3538172133266926,
    0.3851802460849285,
    0.40775448828935623,
    0.37321767024695873,
    0.35422827303409576,
    0.43992858100682497,
    0.4507247684523463,
    0.40308181568980217,
    0.3077762946486473,
    0.22728395741432905,
    0.13647234719246626,
    0.10398345720022917,
    0.0927270995453,
    0.08386827725917101,
    0.08348407596349716,
    0.17055982165038586,
    0.23742533940821886,
    0.3022684585303068,
    0.3135357676073909,
    0.3180093616247177,
    0.2873166212812066,
    0.2994004115462303,
    0.3693892238661647,
    0.4749309606850147,
    0.5649248287081718,
    0.6232985304668546,
    0.6364632397890091,
    0.6052541434764862,
    0.5800109235569835,
    0.5346901267766953,
    0.49837232660502195,
    0.4513287004083395,
    0.4429082553833723,
    0.4160796646028757,
    0.4287174604833126,
    0.43963829707354307,
    0.45394966565072536,
    0.4355999929830432,
    0.4724440537393093,
    0.507067110389471,
    0.5864676274359226,
    0.5739609571173787,
    0.5891675930470228,
    0.5701719177886844,
    0.5039502680301666,
    0.44908104091882706,
    0.37413584161549807,
    0.3377467216923833,
    0.30969881266355515,
    0.3489684257656336,
    0.3668158696964383,
    0.3858940564095974,
    0.37120463978499174,
    0.40180057287216187,
    0.5009843092411757,
    0.5883384207263589,
    0.6365155670791864,
    0.621308334171772,
    0.6018953518941998,
    0.5681867152452469,
    0.5775296874344349,
    0.5236968901008368,
    0.47653965186327696,
    0.4295002743601799,
    0.3533756136894226,
    0.29933812841773033,
    0.24738305527716875,
    0.17562907561659813,
    0.16643804032355547,
    0.12411145959049463,
    0.13716833852231503,
    0.12790994625538588,
    0.10039129387587309,
    0.1011237557977438,
    0.08655980229377747,
    0.05929481238126755,
    0.04253375995904207,
    0.061374327167868614,
    0.10534196626394987,
    0.17037025187164545,
    0.2314685434103012,
    0.2727568671107292,
    0.30881862342357635,
    0.27727045863866806,
    0.2618960691615939,
    0.2899743616580963,
    0.2910933177918196,
    0.19837167114019394,
    0.13652925938367844,
    0.09469925798475742,
    0.06851900555193424,
    0.09082471393048763,
    0.12284447625279427,
    0.14286281913518906,
    0.23814648669213057,
    0.28727796114981174,
    0.2657219711691141,
    0.21625960897654295,
    0.23167164251208305,
    0.3388031404465437,
    0.41770415380597115,
    0.439277496188879,
    0.4157981602475047,
    0.3626645402982831,
    0.23703690897673368,
    0.12384556233882904,
    -0.013061478734016418,
    -0.07129170559346676,
    -0.10924272518604994,
    -0.05905839428305626,
    0.04157701227813959,
    0.07931229751557112,
    0.09892620146274567,
    0.15576523263007402,
    0.13113572727888823,
    0.15913527738302946,
    0.23141452949494123,
    0.29369349498301744,
    0.29757159762084484,
    0.28291103709489107,
    0.40916281938552856,
    0.4397238492965698,
    0.42588314041495323,
    0.4043668331578374,
    0.4015076784417033,
    0.3609857056289911,
    0.2954463390633464,
    0.2275662748143077,
    0.22047475446015596,
    0.2313341163098812,
    0.2900652615353465,
    0.3571790140122175,
    0.39451012481004,
    0.39808363001793623,
    0.4000854343175888,
    0.41485945507884026,
    0.4144736984744668,
    0.3651623632758856,
    0.35001448541879654,
    0.3569954615086317,
    0.33731729816645384,
    0.323070652782917,
    0.3194804023951292,
    0.4041576413437724,
    0.42862769216299057,
    0.47301766090095043,
    0.5116490600630641,
    0.4973180554807186,
    0.47207880299538374,
    0.4154686853289604,
    0.3866602033376694,
    0.35253380984067917,
    0.3658130969852209,
    0.36972973495721817,
    0.3790194597095251,
    0.44486674293875694,
    0.4794529862701893,
    0.4986076280474663,
    0.5124682644382119,
    0.5305907092988491,
    0.5169025091454387,
    0.5169554390013218,
    0.5087475776672363,
    0.5020903693512082,
    0.5089171947911382,
    0.5095962397754192,
    0.5277356551960111,
    0.5067808451130986,
    0.5281950840726495,
    0.6008098376914859,
    0.6494997618719935,
    0.6477819355204701,
    0.6301891319453716,
    0.5923508293926716,
    0.5319181485101581,
    0.4343997845426202,
    0.349043027497828,
    0.31636345386505127,
    0.30003149434924126,
    0.2929749824106693,
    0.2917972318828106,
    0.32828734535723925,
    0.35758567322045565,
    0.3241546079516411,
    0.3464686684310436,
    0.3803243236616254,
    0.3831726582720876,
    0.4143290650099516,
    0.4645127011463046,
    0.536760781891644,
    0.6044097142294049,
    0.6626210585236549,
    0.7048399224877357,
    0.6987648792564869,
    0.7079065321013331,
    0.7188539477065206,
    0.6785409050062299,
    0.635209602303803,
    0.6349566010758281,
    0.6403551530092955,
    0.6162181021645665,
    0.5802543573081493,
    0.591206468641758,
    0.5659488216042519,
    0.5347805442288518,
    0.5228993836790323,
    0.5074089961126447,
    0.5191000737249851,
    0.501878839917481,
    0.5204832144081593,
    0.5364351309835911,
    0.5774170560762286,
    0.5834774151444435,
    0.5806475654244423,
    0.5475492775440216,
    0.5356041984632611,
    0.49358776956796646,
    0.4812100362032652,
    0.4946239395067096,
    0.518251171335578,
    0.5269352300092578,
    0.5838516531512141,
    0.5827568331733346,
    0.6045905156061053,
    0.5986726693809032,
    0.6305347187444568,
    0.6673127226531506,
    0.661974485963583,
    0.6822657845914364,
    0.6496086418628693,
    0.6305813984945416,
    0.6252211630344391,
    0.5991172539070249,
    0.6219061883166432,
    0.6217690678313375,
    0.6134151816368103,
    0.6044060364365578,
    0.578051682561636,
    0.5776332626119256,
    0.5775581356137991,
    0.581412386149168,
    0.5606354996562004,
    0.5039469422772527,
    0.43094508815556765,
    0.3557845614850521,
    0.2992645353078842,
    0.254090522415936,
    0.2080657286569476,
    0.18082196824252605,
    0.20571401249617338,
    0.25297017488628626,
    0.31066272128373384,
    0.33392281644046307,
    0.32648632675409317,
    0.3109436575323343,
    0.3495876984670758,
    0.350444158539176,
    0.33993371296674013,
    0.3669553976505995,
    0.39581579994410276,
    0.4141037371009588,
    0.4160346956923604,
    0.4354025684297085,
    0.49455126095563173,
    0.44446855783462524,
    0.421371353790164,
    0.40374600514769554,
    0.3701870022341609,
    0.32948393002152443,
    0.27275062166154385,
    0.22659950330853462,
    0.2446702728047967,
    0.19948912039399147,
    0.242520603351295,
    0.24089894630014896,
    0.2747006816789508,
    0.31923411041498184,
    0.3035316951572895,
    0.2917666984722018,
    0.3032323168590665,
    0.39444513339549303,
    0.46403039805591106,
    0.511655505746603,
    0.5243652062490582,
    0.529316651634872,
    0.48263643495738506,
    0.429229493252933,
    0.38723593205213547,
    0.33781888522207737,
    0.3010898344218731,
    0.26696376223117113,
    0.2467233994975686,
    0.2379478607326746,
    0.26505960524082184,
    0.32756861485540867,
    0.3710697963833809,
    0.35150450840592384,
    0.3388083754107356,
    0.28376250714063644,
    0.265174800530076,
    0.2822787147015333,
    0.30240233801305294,
    0.29392216354608536,
    0.31185203045606613,
    0.2801911439746618,
    0.2811180856078863,
    0.2820655331015587,
    0.2668602094054222,
    0.2640684228390455,
    0.2162428442388773,
    0.21906445641070604,
    0.29405701626092196,
    0.2798895426094532,
    0.2929032724350691,
    0.369054077193141,
    0.41305350977927446,
    0.4450381873175502,
    0.46006999909877777,
    0.4988715471699834,
    0.5491169849410653,
    0.5753907961770892,
    0.5439014956355095,
    0.5402147024869919,
    0.5366449002176523,
    0.5255665285512805,
    0.527391579002142,
    0.5254340581595898,
    0.5619583586230874,
    0.5647770194336772,
    0.5380182508379221,
    0.49238015338778496,
    0.4814348379150033,
    0.4728910159319639,
    0.4373350106179714,
    0.4429822424426675,
    0.4828050993382931,
    0.4700094126164913,
    0.4318692283704877,
    0.4456161120906472,
    0.4436756977811456,
    0.4455885896459222,
    0.38542055059224367,
    0.37305512744933367,
    0.37148634158074856,
    0.3883540779352188,
    0.38294633850455284,
    0.4059937782585621,
    0.41004729364067316,
    0.39903727918863297,
    0.3225288139656186,
    0.2839931109920144,
    0.27152783423662186,
    0.23878593370318413,
    0.1768074929714203,
    0.20338250789791346,
    0.29020191449671984,
    0.3713060989975929,
    0.36581286042928696,
    0.34779240284115076,
    0.3377047935500741,
    0.3497575717046857,
    0.32435809820890427,
    0.2999445144087076,
    0.3181585315614939,
    0.3544163703918457,
    0.39011163264513016,
    0.3917957255616784,
    0.3715132735669613,
    0.31664805859327316,
    0.21913420408964157,
    0.18736481294035912,
    0.22229496855288744,
    0.2685816464945674,
    0.24783839099109173,
    0.22881332505494356,
    0.223789032548666,
    0.27148642763495445,
    0.3515643533319235,
    0.40957955550402403,
    0.48691658210009336,
    0.5065898150205612,
    0.5369258560240269,
    0.4841726552695036,
    0.4671371029689908,
    0.45672763511538506,
    0.44622395001351833,
    0.45915949810296297,
    0.45915008522570133,
    0.4035912714898586,
    0.39349515549838543,
    0.3665613206103444,
    0.31291317008435726,
    0.2658097241073847,
    0.25878774002194405,
    0.2906174538657069,
    0.3211548374965787,
    0.3135853745043278,
    0.2859657295048237,
    0.255790201947093,
    0.2480519786477089,
    0.21022323239594698,
    0.19999778363853693,
    0.17816116195172071,
    0.1776219718158245,
    0.20604790840297937,
    0.28634449653327465,
    0.3465935783460736,
    0.4291115375235677,
    0.46803829073905945,
    0.4680202351883054,
    0.41728970035910606,
    0.358198756352067,
    0.3193173538893461,
    0.22517073154449463,
    0.1612855950370431,
    0.15753046795725822,
    0.20860176347196102,
    0.28687047213315964,
    0.342742171138525,
    0.33895766735076904,
    0.35051729902625084,
    0.3006259147077799,
    0.3445495394989848,
    0.31943803280591965,
    0.33789816591888666,
    0.353409044444561,
    0.37024025432765484,
    0.3615574585273862,
    0.39320909045636654,
    0.4222855670377612,
    0.45682358741760254,
    0.4879668401554227,
    0.5272688092663884,
    0.5591402146965265,
    0.5880715074017644,
    0.5569628179073334,
    0.5443500559777021,
    0.524222444742918,
    0.4537750817835331,
    0.43735054414719343,
    0.38531013298779726,
    0.2904086532071233,
    0.2575021805241704,
    0.2504678778350353,
    0.2678063390776515,
    0.3405063012614846,
    0.39188281912356615,
    0.4223238565027714,
    0.459816069342196,
    0.48668624460697174,
    0.5545577369630337,
    0.6166516728699207,
    0.6987072927877307,
    0.8063767328858376,
    0.8250744743272662,
    0.8262826213613153,
    0.8103226916864514,
    0.7893099840730429,
    0.7326025636866689,
    0.677840237505734,
    0.6071574268862605,
    0.5673122135922313,
    0.5264652846381068,
    0.5025646137073636,
    0.5041513638570905,
    0.44651866890490055,
    0.4030066831037402,
    0.35985839180648327,
    0.31282869447022676,
    0.28482670709490776,
    0.280587388202548,
    0.27938499860465527,
    0.2858332647010684,
    0.3242192314937711,
    0.3753711339086294,
    0.4341134577989578,
    0.45934415329247713,
    0.45793166756629944,
    0.4563040630891919,
    0.45771273504942656,
    0.4839147012680769,
    0.46443562768399715,
    0.47237298637628555,
    0.49066594056785107,
    0.5323274228721857,
    0.5507046589627862,
    0.6250339653342962,
    0.654169887304306,
    0.6380822546780109,
    0.6158860884606838,
    0.6331168673932552,
    0.6357733495533466,
    0.6398583510890603,
    0.6256308676674962,
    0.605663831345737,
    0.5923326360061765,
    0.5787155441939831,
    0.5545541997998953,
    0.557806933298707,
    0.5540246786549687,
    0.5242927270010114,
    0.5402670679613948,
    0.530599931254983,
    0.5429261373355985,
    0.5902273338288069,
    0.6127719487994909,
    0.6302595334127545,
    0.6599108735099435,
    0.6531040174886584,
    0.6505658449605107,
    0.651342217810452,
    0.6560140438377857,
    0.6202861722558737,
    0.5572723308578134,
    0.4902549684047699,
    0.47056147921830416,
    0.45610841643065214,
    0.39159889332950115,
    0.32074467558413744,
    0.19724681414663792,
    0.07454368751496077,
    0.0030163880437612534,
    0.015222330577671528,
    -0.0066247619688510895,
    0.022865235805511475,
    0.017969521693885326,
    0.10761426389217377,
    0.2331355856731534,
    0.3441890478134155,
    0.3534155199304223,
    0.3426380343735218,
    0.3702181978151202,
    0.39941202104091644,
    0.38142194133251905,
    0.33042691741138697,
    0.29133780393749475,
    0.2508040862157941,
    0.22387555800378323,
    0.22539036069065332,
    0.2666181055828929,
    0.32963520009070635,
    0.42527141608297825,
    0.5249931905418634,
    0.5959964217618108,
    0.6219712076708674,
    0.6538110421970487,
    0.7184816254302859,
    0.7048117779195309,
    0.683878768235445,
    0.6198281897231936,
    0.5945431413128972,
    0.5664287516847253,
    0.5813386552035809,
    0.5932483747601509,
    0.5764375422149897,
    0.5606702659279108,
    0.5367055032402277,
    0.5208327928557992,
    0.4875423349440098,
    0.5140933971852064,
    0.5248678671196103,
    0.6032430687919259,
    0.6288444884121418,
    0.6660836674273014,
    0.6373179983347654,
    0.6658077938482165,
    0.6372126238420606,
    0.624519201926887,
    0.5845360830426216,
    0.6211537830531597,
    0.6317355260252953,
    0.6357020139694214,
    0.6363286133855581,
    0.6366538451984525,
    0.6326668485999107,
    0.5995982112362981,
    0.5640711346641183,
    0.5315418802201748,
    0.5157352648675442,
    0.4128911094740033,
    0.36137217096984386,
    0.2958466960117221,
    0.24378259479999542,
    0.19098283164203167,
    0.18065040092915297,
    0.11498022824525833,
    0.07176630198955536,
    0.039785392582416534,
    -0.08201909624040127,
    -0.20607010461390018,
    -0.3179762912914157,
    -0.31504983082413673,
    -0.2670800043269992,
    -0.2118855258449912,
    -0.19194687344133854,
    -0.13076500035822392,
    -0.013151217252016068,
    0.07853509951382875,
    0.07865665853023529,
    0.05580257624387741,
    0.021529585123062134,
    0.025202741846442223,
    0.023375005461275578,
    0.048856621608138084,
    0.07045229338109493,
    0.12095579504966736,
    0.16856989543884993,
    0.23610549792647362,
    0.2948632566258311,
    0.37722140550613403,
    0.39947215002030134,
    0.34249475225806236,
    0.37972795590758324,
    0.404878887347877,
    0.4682478792965412,
    0.5051192529499531,
    0.5185001976788044,
    0.4893700834363699,
    0.4753862814977765,
    0.46578106563538313,
    0.4552610330283642,
    0.50172034278512,
    0.5507901422679424,
    0.6459460975602269,
    0.7344739772379398,
    0.7611960433423519,
    0.7886423300951719,
    0.7504654657095671,
    0.7266111765056849,
    0.7238056557253003,
    0.7249960992485285,
    0.717829268425703,
    0.6779129486531019,
    0.662127748131752,
    0.6413760334253311,
    0.5862368540838361,
    0.5470131319016218,
    0.5663577113300562,
    0.6045878352597356,
    0.6336549976840615,
    0.662493759766221,
    0.6878555547446012,
    0.6788146598264575,
    0.663096765987575,
    0.6385769499465823,
    0.6481706947088242,
    0.6315454989671707,
    0.6545997904613614,
    0.6612035287544131,
    0.6792024029418826,
    0.6821832787245512,
    0.6599991898983717,
    0.6853316333144903,
    0.6926129795610905,
    0.6901788311079144,
    0.6406052205711603,
    0.5817072372883558,
    0.5294607980176806,
    0.4585140207782388,
    0.40596784465014935,
    0.378236192278564,
    0.3412300394847989,
    0.3177621467038989,
    0.28756631165742874,
    0.3613941352814436,
    0.41566791385412216,
    0.44150405935943127,
    0.4977052938193083,
    0.5453062849119306,
    0.5862543527036905,
    0.6088242633268237,
    0.5997191648930311,
    0.5615291642025113,
    0.4949299143627286,
    0.4176594354212284,
    0.369546209461987,
    0.3581989239901304,
    0.3568697003647685,
    0.40131918154656887,
    0.4268157482147217,
    0.4708804003894329,
    0.4777319999411702,
    0.44334123749285936,
    0.4348250310868025,
    0.4574009720236063,
    0.4767259703949094,
    0.5200455617159605,
    0.5467802993953228,
    0.563086612150073,
    0.5427046865224838,
    0.5324278138577938,
    0.5334267029538751,
    0.53463014960289,
    0.5316899213939905,
    0.49546046555042267,
    0.5129862548783422,
    0.5509983710944653,
    0.5400136969983578
  ],
  "earlyFolding": [
    0.0311177851701848,
    0.04933411122573524,
    0.022364589852293656,
    0.007132442067953221,
    0.002324178072361365,
    0.004682670160663908,
    0.010546025428663787,
    0.010081227524430688,
    0.013234984240155767,
    0.023222323073138026,
    0.02912987746002337,
    0.010758702423462923,
    0.005508547594944648,
    0.005637074981965949,
    0.0058961997842199845,
    0.01647605989638492,
    0.044064155520796185,
    0.05989037566787391,
    0.061162751915699434,
    0.10470092581834868,
    0.08653306686289083,
    0.03255652037089747,
    0.016369496186883752,
    0.0129728350939899,
    0.018475609211640095,
    0.012192030658515263,
    0.007844860540227297,
    0.0176872695175463,
    0.04344735925939546,
    0.05231700134706966,
    0.07897545697453663,
    0.12879033681127422,
    0.09147981642672996,
    0.04599873846794549,
    0.02558723275761912,
    0.024356222659191015,
    0.014516534431797965,
    0.009731906385971104,
    0.008461712178832148,
    0.00774201887742029,
    0.012337876439429933,
    0.02540486078679473,
    0.03779815892112231,
    0.05589527024879078,
    0.11942506094201066,
    0.1503521412214708,
    0.09627438407259553,
    0.10525914512908836,
    0.14047044754022964,
    0.14120388218257332,
    0.08905792816922245,
    0.057920116264149085,
    0.08382063600185277,
    0.09988870053661156,
    0.07552040885758143,
    0.03413213213441546,
    0.031144992252906206,
    0.06685906978810058,
    0.07263530327256242,
    0.16244850818860193,
    0.22512571783483415,
    0.21159760103942676,
    0.21415511400293302,
    0.22626946899253544,
    0.1549903873222986,
    0.14599813735148268,
    0.05234435895802334,
    0.016018484823962984,
    0.018178931826982218,
    0.024449392836006206,
    0.02231737770762282,
    0.020134810656459026,
    0.04679767566219353,
    0.17789001936445475,
    0.24683723109467104,
    0.1271109884382348,
    0.05879300836403566,
    0.034634707574726364,
    0.014491324099524316,
    0.0082979244382797,
    0.024779965748195517,
    0.0466598488897515,
    0.06514471483689079,
    0.0871553349181087,
    0.11859430877206457,
    0.13849554769703126,
    0.1153406312523471,
    0.11101051896712477,
    0.15506218133257924,
    0.1148902266209047,
    0.0658345620839494,
    0.08005323291182903,
    0.15935907421296458,
    0.15641594086145352,
    0.08384027646464824,
    0.055269377769218066,
    0.025221018818475403,
    0.017369684060402953,
    0.016852943078877598,
    0.011762910858750905,
    0.008804870428808178,
    0.017777969577368092,
    0.04868523910265038,
    0.08243840184606205,
    0.17803351866101497,
    0.22854864933267613,
    0.2248901370681609,
    0.13682132349835505,
    0.0815571347725007,
    0.042264787358348335,
    0.019720913382343424,
    0.00938134390331389,
    0.006363307488251298,
    0.009548250566341,
    0.013187535980024402,
    0.014207510444438765,
    0.012349340354825452,
    0.011838574544388577,
    0.013463472345334687,
    0.01639606801002377,
    0.014936014228843348,
    0.010742992455561024,
    0.01896544195860128,
    0.04378834657597529,
    0.04798077752402305,
    0.030616337935443893,
    0.0497531972707832,
    0.05990712930271181,
    0.051403858759360245,
    0.06039239773886741,
    0.08224637297706824,
    0.08026415763507211,
    0.06458283390301738,
    0.06073477810524051,
    0.049378857870393686,
    0.02563857793685487,
    0.015926718600223416,
    0.016971044916638006,
    0.017620283739062083,
    0.016775359547803986,
    0.01228913406388356,
    0.007583389725678895,
    0.006936183542258479,
    0.0053318014897977785,
    0.0045383006653952175,
    0.00445286988183128,
    0.006760121496278739,
    0.014356766208256481,
    0.011373155851532564,
    0.014440968913879186,
    0.04289218050288946,
    0.06134218974615806,
    0.03328406014530614,
    0.027061950893296605,
    0.018039747974195955,
    0.009798734229457129,
    0.017041466924495312,
    0.025159591627927812,
    0.02738212226309601,
    0.05961490364880992,
    0.1393682628847167,
    0.16479477226088216,
    0.1426884347450119,
    0.08090240417070325,
    0.09311165503942076,
    0.08379832034461192,
    0.04442621669177149,
    0.04628779317493975,
    0.048569498677554744,
    0.060329479679834645,
    0.0675135034913379,
    0.1076524253523889,
    0.0913567196466674,
    0.10370716261141469,
    0.2185572229683144,
    0.1905971309001791,
    0.12564858863243097,
    0.11783662061771176,
    0.09286217090689626,
    0.10642175003523408,
    0.13224512857787463,
    0.2290476326540305,
    0.3928595360500966,
    0.5055980525000632,
    0.4143509522890748,
    0.25366241792839234,
    0.1534654352237525,
    0.12140364739044986,
    0.11429451267068358,
    0.1009241674091371,
    0.1701851201334731,
    0.2849333996015627,
    0.2102183530821494,
    0.13844192033301103,
    0.06699876440670327,
    0.06157656268442164,
    0.05359144379282467,
    0.05817252101015122,
    0.1518978207445835,
    0.25945847096578206,
    0.14978946807777188,
    0.11924242841787859,
    0.0836908845550948,
    0.02892266868747183,
    0.027815172620063486,
    0.029559206920299376,
    0.02491778046603259,
    0.047525016948426514,
    0.03102434763918872,
    0.018019200091348837,
    0.02148953676012667,
    0.02043652157348745,
    0.028864163658066967,
    0.044941003419642564,
    0.08414885932323404,
    0.13285831517488111,
    0.12533496930390026,
    0.10804544375843433,
    0.07170086102548368,
    0.0450234822394814,
    0.05129702756321061,
    0.0679367908044371,
    0.11765934286891942,
    0.20739486455804276,
    0.22238604032781684,
    0.23660943425288325,
    0.26407906833301314,
    0.20775994924295874,
    0.10521229317437343,
    0.044759912419504826,
    0.02446661417764482,
    0.03596134577599819,
    0.08192573302825168,
    0.27394319338369305,
    0.3881936040470259,
    0.26315051519122074,
    0.14426015086225252,
    0.05657185895106682,
    0.015180844877518638,
    0.003622143214819443,
    0.0035239230141223296,
    0.0032695627915530698,
    0.0032472382145866552,
    0.0029129511311341495,
    0.0028401705116491063,
    0.00494842371876984,
    0.005185189852565301,
    0.007670905883528403,
    0.012642529571600567,
    0.011981974212006757,
    0.024273737165035208,
    0.058883998985477685,
    0.085190030016375,
    0.09624120402592312,
    0.10584902861640225,
    0.12693760306712754,
    0.11341547842058258,
    0.06972863456631845,
    0.06477557982881947,
    0.061630318104203594,
    0.032535459593560044,
    0.014813591724503299,
    0.015069054911164871,
    0.015724850508445305,
    0.011989464121515001,
    0.01061464478265308,
    0.018774398403262584,
    0.03379817956958361,
    0.03853708894645293,
    0.07089079989658047,
    0.1738138528763956,
    0.14976051984450658,
    0.07505414889761668,
    0.023972218340735162,
    0.013464431056494383,
    0.01084251462285909,
    0.017953631288294847,
    0.03768858624728297,
    0.049227946627653535,
    0.03752173454322563,
    0.039561914396209014,
    0.04020944215570641,
    0.017226912044833356,
    0.01394682946283803,
    0.016464228392774203,
    0.013261209930356194,
    0.018318468961007733,
    0.026032729551743763,
    0.01934480368038269,
    0.011225964568818518,
    0.005737676386928928,
    0.004994586465944727,
    0.007655110623221247,
    0.009347723278660878,
    0.010946563415140368,
    0.02958713986669848,
    0.05355574115948209,
    0.06007944912785489,
    0.14840869020649808,
    0.223829652116893,
    0.14179623416031625,
    0.09911975526349032,
    0.07239715394130171,
    0.052979736666244184,
    0.018913688556353205,
    0.01371614567275313,
    0.02517286165624727,
    0.02846541869109852,
    0.023394296186082394,
    0.03278980530444294,
    0.05245271303903614,
    0.05814551053449893,
    0.05956876054705779,
    0.10435903639930237,
    0.17943812843969487,
    0.16270839033915557,
    0.16491177036653232,
    0.2137349571402004,
    0.26251393681420226,
    0.3099849674898219,
    0.18795816024447404,
    0.14051194170411296,
    0.11317195652319505,
    0.1190913690747567,
    0.15945865162004763,
    0.18834752661680845,
    0.16925455238811743,
    0.08165804209381416,
    0.03832246308774909,
    0.0427210499861376,
    0.03242114424795486,
    0.012961607405942262,
    0.009760818285859167,
    0.021611334269022155,
    0.05603768605749144,
    0.11998856153200863,
    0.23112406265079785,
    0.3020524407995688,
    0.36826392239903405,
    0.39932062917906047,
    0.28546104534389444,
    0.16036299565918902,
    0.05975588560785658,
    0.015311913568260402,
    0.012552071407445648,
    0.009014034657167793,
    0.005107439600552822,
    0.00510261680608158,
    0.006107485504334766,
    0.010177134247464142,
    0.023941875100579716,
    0.03263852389872418,
    0.04235127070322808,
    0.05152658953451222,
    0.042318227193197694,
    0.02262936738900894,
    0.017283362517344275,
    0.016273602458052816,
    0.011420473707754598,
    0.01546761158000136,
    0.03837715119766079,
    0.06611966858510487,
    0.0837727326829371,
    0.10449047312887386,
    0.07648687202437066,
    0.03887574943099666,
    0.06088742440689161,
    0.056351113617736565,
    0.022393332833596312,
    0.011757299913489033,
    0.021352912784439567,
    0.02818926489700987,
    0.016138706065817267,
    0.013378164671665149,
    0.02160844823618956,
    0.03061250824994183,
    0.016132351872420736,
    0.014679860113233948,
    0.04877207659393801,
    0.10325158130381434,
    0.04850157338426738,
    0.016002985115337272,
    0.014683594124013386,
    0.013588469983730428,
    0.01307796222529754,
    0.014336829171618872,
    0.03614478970698916,
    0.09466308144373169,
    0.07472526839251237,
    0.05515788245614309,
    0.023193179453752606,
    0.018245743714041345,
    0.009327916106161375,
    0.00819273694635772,
    0.015568518743115026,
    0.020054579793597146,
    0.03078709071087186,
    0.04374853425167951,
    0.0842201220410372,
    0.12305357789627606,
    0.2067569052886374,
    0.28640745223752884,
    0.2605368604331259,
    0.24811385408845457,
    0.22188170655404205,
    0.17141615658573214,
    0.11497805972759105,
    0.12747844064123598,
    0.1284161302002966,
    0.0852508993302162,
    0.06454087341539243,
    0.07872684032909803,
    0.05500641757478304,
    0.028757619568705383,
    0.03839769459784812,
    0.03275211864956772,
    0.03564936379697135,
    0.06353241559081593,
    0.1396267845913365,
    0.1353249594804211,
    0.17684526107495846,
    0.18412908621600313,
    0.18265859904957246,
    0.18816554409239278,
    0.2061476605903515,
    0.22144741447424657,
    0.17778577374863372,
    0.13799477049099865,
    0.12269397397709737,
    0.07971156682632573,
    0.06891990103059668,
    0.10337540451048306,
    0.1788110132174765,
    0.13666504701141236,
    0.08680724897155259,
    0.0643072355571246,
    0.052844672495907054,
    0.06107392835660264,
    0.05956931182673808,
    0.023886635656827793,
    0.014348324222305893,
    0.01766311865797282,
    0.05000335144966438,
    0.09447710834479861,
    0.05780313646291517,
    0.08304891644834374,
    0.08542745074780868,
    0.04017427019329509,
    0.024114688111559843,
    0.02618892595461446,
    0.07114866150905637,
    0.1421701230810209,
    0.12497563849649275,
    0.12473563623753325,
    0.13935912577783846,
    0.10041902484049361,
    0.06736799863388523,
    0.12386479546755719,
    0.12399650166317273,
    0.11029574880657624,
    0.15447855834236324,
    0.136396254829637,
    0.12311751656797958,
    0.1091241286550208,
    0.16906005778801486,
    0.23934756045889857,
    0.265991277667288,
    0.282152981936215,
    0.32952087301934696,
    0.33056762781043936,
    0.26580485629790007,
    0.1887629200087171,
    0.07648514757470475,
    0.05790690550240245,
    0.10019595749792984,
    0.12317705827076313,
    0.07267053918855587,
    0.0669832717444581,
    0.05848245746852309,
    0.049930089454048136,
    0.07113070200466376,
    0.15278590359029154,
    0.23117017561090572,
    0.2469609343558655,
    0.23649661787455686,
    0.18300401630900134,
    0.11103617665759419,
    0.1636827954351517,
    0.16708494030083848,
    0.1481550317740356,
    0.2151734433942268,
    0.2553992140589878,
    0.22798938863957896,
    0.17654838455590652,
    0.09785909182055506,
    0.0704998617658334,
    0.04661326619922415,
    0.051170443258817616,
    0.06183074444037078,
    0.060285655674009356,
    0.06779792871813221,
    0.0819732603587839,
    0.09342892535995571,
    0.10180762969120502,
    0.12306387296490491,
    0.1976312571510387,
    0.23021546596621895,
    0.25129654735589946,
    0.420846338944104,
    0.5772064285595898,
    0.5216980527760875,
    0.38601320686107826,
    0.274287796448365,
    0.2155619990860878,
    0.15248163291183742,
    0.16557655478088956,
    0.1689600550709202,
    0.1337503877287468,
    0.09009499784559331,
    0.059883298383009695,
    0.04134413623902068,
    0.017041479637936046,
    0.01874075437455745,
    0.02961405284094151,
    0.022476193391803595,
    0.03222849051635692,
    0.042855006594606865,
    0.03933211124639613,
    0.03283890730024533,
    0.04659183413053403,
    0.07141631971807841,
    0.06146355931085117,
    0.09367166510475043,
    0.10852385303300605,
    0.12277401772685263,
    0.13648323201585807,
    0.08723389597030565,
    0.10462881287252203,
    0.11312513526944261,
    0.08803201803698149,
    0.08092337226269562,
    0.04752181113975154,
    0.043198335589112596,
    0.059479329651338314,
    0.025274735072397015,
    0.01288910020701119,
    0.01369189168240854,
    0.028300271309096747,
    0.05992204618841729,
    0.08385926077735036,
    0.17003953459207585,
    0.36595574196283276,
    0.4012195863143279,
    0.2663531959446189,
    0.1542429469768419,
    0.12177593125141781,
    0.12006228282623822,
    0.06909811782416941,
    0.049962914137425596,
    0.06461941954173499,
    0.10046407499483664,
    0.0747336549793721,
    0.0764128849831354,
    0.08499275668319302,
    0.10391366397805535,
    0.07001431057939624,
    0.06484343237098097,
    0.1414999381277143,
    0.2569193613624934,
    0.195313472738291,
    0.12178288676733535,
    0.09714868598932674,
    0.07552026188487938,
    0.08231544977069052,
    0.04898983649445892,
    0.0463751640790668,
    0.05570812800922073,
    0.03643087293663372,
    0.03377345406775322,
    0.02486582965218385,
    0.023271666688403046,
    0.041989705218131584,
    0.04867439335246213,
    0.0718888519423645,
    0.09666193075424137,
    0.10450213368236752,
    0.11108795730884587,
    0.08373325298395189,
    0.11272050420711734,
    0.10859692652468754,
    0.04309205582348687,
    0.03079796598187026,
    0.07683706336599858,
    0.217324051866411,
    0.3498013323534045,
    0.29782677906150645,
    0.1842006320030781,
    0.13782532356944396,
    0.12021843382219337,
    0.07707476402182933,
    0.028704811457413482,
    0.013576707108360599,
    0.00933507256041252,
    0.008937886798172466,
    0.011501057495925688,
    0.027586710057866635,
    0.05752501392467274,
    0.09082238095910385,
    0.08520457532009282,
    0.07253943506527821,
    0.038616353679072256,
    0.0188112611218077,
    0.013139385950730428,
    0.012740288402238504,
    0.009274962516497611,
    0.010513230676985189,
    0.010685267234188674,
    0.009104621542745679,
    0.010644172865587491,
    0.013311232583799392,
    0.011052303785686782,
    0.011043596232113864,
    0.023411089895733123,
    0.05080743025101463,
    0.05279754261025632,
    0.034098281170124325,
    0.03688690860752434,
    0.0422569972476927,
    0.02210645536162373,
    0.02353237845070635,
    0.02220230021370552,
    0.02827544864637174,
    0.012585643370644896,
    0.007229298684129336,
    0.011378351167191677,
    0.025495117620470017,
    0.048161360439701144,
    0.06558908859672073,
    0.05270763008068684,
    0.06664155994118182,
    0.053312080288747475,
    0.033678976511115157,
    0.0353947932688582,
    0.037467458655888554,
    0.028485857254684253,
    0.03455656813120234,
    0.05284778392124545,
    0.10116131947052846,
    0.21690532786349023,
    0.22948195096037674,
    0.11913471997777485,
    0.10621778520847205,
    0.0591521370996999,
    0.044521283984338904,
    0.02999260657055651,
    0.028827165126255844,
    0.05303253038397224,
    0.045692324235323524,
    0.042123146614539614,
    0.061148318599518386,
    0.059093189865778536,
    0.03378506173567298,
    0.0285004860698023,
    0.07164069970234001,
    0.05902570636475884,
    0.018719702952070785,
    0.01374055958608564,
    0.022158075024155812,
    0.019239544504100488,
    0.008115998970722668,
    0.014472440695790977,
    0.027613879861915543,
    0.027444809803555802,
    0.03493058320453625,
    0.03633650042811736,
    0.07638823127312389,
    0.2126891649658911,
    0.2719679783602263,
    0.2912308488390285,
    0.18337379574957363,
    0.06617183447061259,
    0.061939164938797864,
    0.0539313783318901,
    0.02170144332375273,
    0.02001588517555839,
    0.03129822092250461,
    0.05861117210105982,
    0.11780626925074104,
    0.11040698101394573,
    0.08471015854936267,
    0.04914169075906325,
    0.044883365010985214,
    0.04013710834588903,
    0.03998530527196124,
    0.024365178011367422,
    0.03003337852023803,
    0.07354355840167087,
    0.170587753538719,
    0.2518811010719329,
    0.24214475053350512,
    0.23434026350589338,
    0.34748784981699876,
    0.45443500032169226,
    0.5909686714559423,
    0.5378177314638287,
    0.43592309133542934,
    0.4360452279514043,
    0.4385479557481116,
    0.44387513603214507,
    0.3787422574551174,
    0.3622357043498472,
    0.39864584898386357,
    0.356245766437728,
    0.3070959459737234,
    0.23663016214875615,
    0.08258311566361205,
    0.03792258615079511,
    0.04618130865406075,
    0.03533515725418785,
    0.013147922799901655,
    0.008771483574542126,
    0.013247799858911287,
    0.04152860034605909,
    0.059413554663574744,
    0.02543483560805117,
    0.016551379958598712,
    0.01391500785233314,
    0.006808131627761015,
    0.004451761683343942,
    0.0019785004322422943,
    0.0015877027670297818,
    0.004453599017658378,
    0.012262127879393894,
    0.016882402169130235,
    0.03389744231845527,
    0.040894677288937316,
    0.07543541206704314,
    0.07529307579246423,
    0.04003804755474691,
    0.033150863329057985,
    0.017902336176955937,
    0.00938502104848079,
    0.012672214711277456,
    0.0220657288869489,
    0.023675153250782427,
    0.03304666222589454,
    0.027999523333218163,
    0.018055652508526254,
    0.01903385636250612,
    0.013683298052841861,
    0.013462500958032022,
    0.015529064522424465,
    0.011313885129037844,
    0.010226542906667468,
    0.02192537027775098,
    0.03227117033330925,
    0.03878344920568343,
    0.07940984347838598,
    0.09510166406535431,
    0.061374633347550785,
    0.06006805518840492,
    0.09541438209486436,
    0.04192507815973577,
    0.029040853757523747,
    0.026809388653305705,
    0.029939416763419054,
    0.0487061227316712,
    0.046846645995031425,
    0.0455369870157825,
    0.0445511858058937,
    0.012753890039578613,
    0.0048956930688221125,
    0.007199205666054517,
    0.005145053306527122,
    0.0034599379950861066,
    0.006454544213132141,
    0.01050820787747318,
    0.010783098415328847,
    0.009441137607583172,
    0.0087833802548391,
    0.011529100892262062,
    0.011543974299661438,
    0.0142139405685486,
    0.014841300090689418,
    0.011381561725586648,
    0.011247972169107555,
    0.014978535828260298,
    0.01624489179045985,
    0.008142695842589882,
    0.006569991102175805,
    0.007953595382008759,
    0.0072675380229282605,
    0.009893357919487197,
    0.013086861764599549,
    0.035376670922516056,
    0.06387271985073824,
    0.06342294067053415,
    0.09407866374983066,
    0.09114442664694411,
    0.041731205555493915,
    0.025933346720837313,
    0.01568716147013083,
    0.008622895942503879,
    0.012636908114281722,
    0.0214876380226599,
    0.02939742157058348,
    0.024825619670635696,
    0.026485815808403805,
    0.025484415903494227,
    0.015556065995351892,
    0.011477969533286298,
    0.007817964037353652,
    0.005419910550315944,
    0.004067133880099739,
    0.006678285112071117,
    0.012391679379815938,
    0.022415462760523516,
    0.027133307943862532,
    0.015665658036678035,
    0.010840994569387113,
    0.008711969676783617,
    0.013027799970526987,
    0.025579568846206883,
    0.028530167546874985,
    0.021782743181422873,
    0.010131437091920605,
    0.006711415149682456,
    0.006860422842520126,
    0.007882465133564697,
    0.008128597531461257,
    0.008797917846504381,
    0.02423865167193343,
    0.03881560433077565,
    0.03388324895363468,
    0.028558209595809517,
    0.028621499461525618,
    0.02904221265438236,
    0.029856183257219424,
    0.04260180480155818,
    0.054074631937444315,
    0.043384274775188074,
    0.021793092787564437,
    0.01643412080588788,
    0.00862510520174761,
    0.009180239385434474,
    0.00959286829281775,
    0.007005228178963677,
    0.008606313691489238,
    0.007168484825950769,
    0.0055811318017998076,
    0.005830506348880667,
    0.009249521023322379,
    0.00902400976971041,
    0.008767991842672114,
    0.015942170857364223,
    0.04494022449011377,
    0.0693181230726478,
    0.05878056370730146,
    0.04088830705606926,
    0.02288043126834014,
    0.018786633077423145,
    0.019304902072491876,
    0.01951048019562521,
    0.03014391116768878,
    0.07763570636674585,
    0.0938275704249026,
    0.05196848200815781,
    0.0502520171658308,
    0.056826882880593274,
    0.07039680980825823,
    0.04885946422858703,
    0.030720821184348584,
    0.02641259347919082,
    0.04578081031376929,
    0.037822633896058375,
    0.02744134374154278,
    0.037986154486287234,
    0.05520624668177796,
    0.07068066047709202,
    0.08561923500783984,
    0.09675425914672713,
    0.08437364873487355,
    0.046028696888942705,
    0.019572754364859002,
    0.008297542602466314,
    0.005642850475370996,
    0.004603844924010229,
    0.0028147036368093544,
    0.0025731807464838513,
    0.00494629881673845,
    0.006194492195397586,
    0.00782267294091143,
    0.01086535708117545,
    0.022715093638916002,
    0.02284946826697961,
    0.0361087317681822,
    0.041985206374496306,
    0.05752908924668816,
    0.054948306649541,
    0.04963131103129817,
    0.06148261479791903,
    0.060480968404832844,
    0.03439455338376814,
    0.033373786286888106,
    0.02488814925108312,
    0.011381859921441787,
    0.009009389172365979,
    0.0150974443451334,
    0.015125609498518622,
    0.024178395921177754,
    0.0582218031094125,
    0.1278837747887561,
    0.1912611550329204,
    0.18729486358403657,
    0.2546433899213285,
    0.1646741686693681,
    0.05298246974832843,
    0.034146887514479474,
    0.0362471377565343,
    0.038348204444027326,
    0.028017809130932384,
    0.04012939540381218,
    0.063187034474565,
    0.06168310652465098,
    0.060815440381486625,
    0.043850063932582735,
    0.06877529656778188,
    0.098878695925884,
    0.11495543482176361,
    0.16486303524891865,
    0.2894373325028454,
    0.35717284033616115,
    0.37245676357252877,
    0.2501030798497845,
    0.21637718475701154,
    0.2191096674148977,
    0.11451256676743539,
    0.07802832950032448,
    0.0577560076688134,
    0.04817308800604245,
    0.05963496018538313,
    0.08582638356019073,
    0.08282539912263852,
    0.1493761488081888,
    0.1841799490249865,
    0.13310761836192642,
    0.1511232578649149,
    0.07467844258333942,
    0.03325891248133504,
    0.021255730713584997,
    0.014510852841189421,
    0.011026306105700759,
    0.013517942137914225,
    0.01773326416155904,
    0.012642508319050776,
    0.016153279443383264,
    0.025507036123176268,
    0.037390065383680914,
    0.024013401432505462,
    0.019102985312791733,
    0.03999837533977556,
    0.06226012516890861,
    0.05763080528207428,
    0.06445245408553404,
    0.1093919050157703,
    0.18048453227008243,
    0.20692159693263912,
    0.1969203143273155,
    0.1725732477730686,
    0.07148102833156635,
    0.022481918115899262,
    0.026640161576631752,
    0.06158630915141612,
    0.07586246867944565,
    0.059690739956615994,
    0.05205638557782005,
    0.031106482868601355,
    0.03178729120795491,
    0.042014185700551494,
    0.06963480380151384,
    0.06886378167536458,
    0.07778596323708013,
    0.14837991935022904,
    0.26113299545953944,
    0.2403232586593317,
    0.19946441696890876,
    0.18344373634399203,
    0.06818412875502157,
    0.025563633466358246,
    0.016406943453773682,
    0.009594659709624443,
    0.0040884116192378625,
    0.006952526447875079,
    0.01790311330799998,
    0.017103185215305898,
    0.027943286998173132,
    0.028944802533190903,
    0.02951720768812019,
    0.0549315713702928,
    0.08174607061526305,
    0.08403928698719493,
    0.10664043145581618,
    0.09987711593798074,
    0.07199246640433794,
    0.05620513180087296,
    0.05654772517338017,
    0.05729409916257714,
    0.038012510130511865,
    0.04843322051487362,
    0.08497873713024973,
    0.110293366442844,
    0.11824871257575134,
    0.12355551020158821,
    0.11300292880730897,
    0.1471477878294709,
    0.18470404627018708,
    0.15550106495594374,
    0.18277659767955348,
    0.286268717570635,
    0.3748585759484821,
    0.3622563824811117,
    0.3553721551290456,
    0.4158482064474695,
    0.4878826484781644,
    0.46440251290946344,
    0.5400103369177154,
    0.39182666631829977,
    0.25131826492225345,
    0.34030667447294227,
    0.41068935851485844,
    0.4094493214575222,
    0.45706258057619076,
    0.4475308907574911,
    0.42160320959019987,
    0.4182540148542738,
    0.23568410063644216,
    0.20074840191875123,
    0.23143023361313575,
    0.20742573627563263,
    0.17689584189205654,
    0.22819153796867442,
    0.2602648592774127,
    0.16049576601988885,
    0.10469428346187962,
    0.09544694316148895,
    0.12816833108017162,
    0.17872525752802818,
    0.283127609018425,
    0.36961950214377914,
    0.35418617665216484,
    0.34638010959481996,
    0.3921576956025764,
    0.3499871472574089,
    0.19361437653545532,
    0.17391700236518895,
    0.17315539502040062,
    0.11688669221083246,
    0.0899437156004113,
    0.0766112576073211,
    0.07423295968740148,
    0.08585183512404188,
    0.09613678249521712,
    0.06102408071235349,
    0.03790841139237689,
    0.04640419287790932,
    0.07736130637967158,
    0.09566493173728187,
    0.0866819635923566,
    0.06236654645256221,
    0.059965768898292006,
    0.09235209102066849,
    0.12641367233705164,
    0.1391495737795979,
    0.11812231701131229,
    0.10308957370017528,
    0.12615622402479754,
    0.15567985212293892,
    0.18194143020328843,
    0.23020889215472015,
    0.2777854394556113,
    0.26593827718567425,
    0.19184638712916002,
    0.15557060501241213,
    0.1050561637046342,
    0.11145050580075916,
    0.0966570150042357,
    0.12078048237718916,
    0.14366195533610002,
    0.20019403606545502,
    0.1902951565530316,
    0.2616282834951687,
    0.2342026980079883,
    0.20428108101580722,
    0.2835744422399931,
    0.315090354629435,
    0.3590638260856498,
    0.37820906214083383,
    0.22689155053795979,
    0.1594920242661751,
    0.14377530087084536,
    0.2041909407247369,
    0.21525718782934758,
    0.2737058594653097,
    0.3658204946220206,
    0.30099304350365624,
    0.20008759757905117,
    0.14559344401169716,
    0.1449773123519025,
    0.09319501907803587,
    0.08461296458099957,
    0.13161782806569636,
    0.1612694096737081,
    0.13365337921225992,
    0.09729258279495777,
    0.07356915922970218,
    0.08533742921441197,
    0.09885274080883902,
    0.12672085802646219,
    0.10897606853565443,
    0.13674679304817758,
    0.22968366254647068,
    0.2236608620288222,
    0.19110613595002235,
    0.15946104105559286,
    0.13865362486758726,
    0.19855436508865376,
    0.13093691445730507,
    0.14652998097234685,
    0.14017789325816477,
    0.0923526910525742,
    0.07440111318550631,
    0.09579465240330153,
    0.05102709066298133,
    0.0343983109343141,
    0.04766242497585488,
    0.04668015327780012,
    0.054762242916129494,
    0.07644198760947084,
    0.09066205510529732,
    0.08616333404067092,
    0.1028387853542165,
    0.1864319283938368,
    0.2378377599839146,
    0.23473102828683662,
    0.1437689217783168,
    0.06613478575907035,
    0.04001040037952148,
    0.04132128397418822,
    0.03725450491213836,
    0.01871385340081854,
    0.021182555457648786,
    0.02516981196670185,
    0.026015639967053233,
    0.03773110938574138,
    0.04306573823537426,
    0.05112812376681958,
    0.058233668436937024,
    0.06292819079957912,
    0.055134201765618014,
    0.07039137740019397,
    0.08099744953433854,
    0.07072111266246323,
    0.07754583012785402,
    0.07485004633413862,
    0.06901904093591688,
    0.07544892104732204,
    0.03301932005487708,
    0.019438540415583405,
    0.02980206196434069,
    0.021033615560258827,
    0.013550424235161621,
    0.010606439182814684,
    0.02451916415438671,
    0.06408527728172189,
    0.0643894762131347,
    0.06443555393922268,
    0.05188578933498889,
    0.03998648697445012,
    0.013852455126019209,
    0.012011538153560795,
    0.017343093742699267,
    0.02003288419191148,
    0.027027647233704388,
    0.03456855633663984,
    0.02220242286862709,
    0.029542042854886496,
    0.022283809579198056,
    0.013732132163648618,
    0.009425164550938175,
    0.0032965833020835726,
    0.002532944345846683,
    0.003274145191404783,
    0.006357186614481936,
    0.015665226225396053,
    0.011742797971108833,
    0.016551173428652213,
    0.04719069503985981,
    0.047143689756049316,
    0.031764022576370655,
    0.020195769979689745,
    0.03297553100112578,
    0.05274572289976151,
    0.06884210695277239,
    0.06850938861640517,
    0.0938590642658897,
    0.0912712202365045,
    0.04314073364197834,
    0.043775546751782246,
    0.06702318514895864,
    0.04394054416138723,
    0.03807346386514062,
    0.05894697583019385,
    0.05193161893323806,
    0.020406907531082673,
    0.019654197011401277,
    0.01468867552850132,
    0.006077203257218449,
    0.012663623538281026,
    0.01808580077352904,
    0.008057063675151344,
    0.005017385538964064,
    0.0073454388434633375,
    0.011496947076859729,
    0.011136058205404713,
    0.011641134804403578,
    0.029251510689427815,
    0.03611248799724447,
    0.011258284214727219,
    0.00606887828986007,
    0.006377412972041706,
    0.0035904357267635125,
    0.002028604741638639,
    0.0018515026060021216,
    0.004061761984171702,
    0.007958939276391635,
    0.008572397612702605,
    0.00949425189651207,
    0.010291888754680895,
    0.006831521044613261,
    0.005184721815312639,
    0.002869618978958276,
    0.003575797161591468,
    0.00468144864949221,
    0.004451817594563069,
    0.0032011560128027226,
    0.006838229596935548,
    0.010591719349285426,
    0.013947303118650566,
    0.02030434210078421,
    0.0305710506786872,
    0.05610347886117299,
    0.061286802297636264,
    0.04282325301622669,
    0.019120129667955187,
    0.012176682040479921,
    0.007121069024968531,
    0.002706085378602751,
    0.0037073935004147828,
    0.009298923469472798,
    0.0074717987525354,
    0.006836203055298024,
    0.016997895760251108,
    0.0259180084852034,
    0.02850652952684615,
    0.023495525844289544,
    0.016304276180116994,
    0.0210930208059441,
    0.01557406659867587,
    0.008570307426063023,
    0.008831067042614863,
    0.0078309316587854,
    0.007812234717117837,
    0.013254305176531318,
    0.02480251029720837,
    0.019275763867694706,
    0.018134318217932,
    0.024454280481515222,
    0.016721442626510034,
    0.02191962572162775,
    0.03988156720765344,
    0.04898103141449873,
    0.0615801594308169,
    0.08631080373143596,
    0.09494301873712496,
    0.10437973168248688,
    0.1446511596464974,
    0.1862914500300289,
    0.20846496367628717,
    0.28948489213556067,
    0.21901852157055507,
    0.1546157358509999,
    0.13516353132216974,
    0.046116845361489085,
    0.01899562438462457,
    0.014100553800220673,
    0.008379210356731278,
    0.005502407198681349,
    0.00717153565821774,
    0.007023116622362444,
    0.004849125183086032,
    0.0032444645755581223,
    0.0021248226819193883,
    0.0031205573182552914,
    0.004013551768740983,
    0.005748857671988846,
    0.014832334203799471,
    0.024911380107617006,
    0.023671875342785857,
    0.017551062902509185,
    0.030273459180340977,
    0.041215749612887334,
    0.0139890561050815,
    0.004863688901552451,
    0.006877734111330289,
    0.009442824986316873,
    0.00634183601366166,
    0.009561802252691242,
    0.007871138317206839,
    0.0020306456987021987,
    0.0030889659879046925,
    0.008543112672042049,
    0.003883601952984664,
    0.0015975652063196174,
    0.0015204662607099036,
    0.0009548285851146877,
    0.0011443751262041318,
    0.001428495874972833,
    0.0011748129853731489,
    0.0018445375337940403,
    0.00450051317340946,
    0.007443271344575966,
    0.010853175281796567,
    0.024782544315396525,
    0.03159202213485519,
    0.02613843511047828,
    0.023485480436792768,
    0.010981118955466313,
    0.008270062810608287,
    0.01398170394677312,
    0.006790953989114914,
    0.00453936363082721,
    0.006230533903576869,
    0.009831357784007353,
    0.016395476054080437,
    0.01837567438966765,
    0.025683311135042373,
    0.03883765059132676,
    0.025996748751868744,
    0.014623216782908482,
    0.004089699867114212,
    0.0034128514530538446,
    0.00624109151826768,
    0.005839383004250575,
    0.008156488271250786,
    0.008345402521737953,
    0.010526713128292765,
    0.011528471731347039,
    0.008165574128404761,
    0.006384622481774138,
    0.0035099188784613127,
    0.0045115712033377345,
    0.00352516787376528,
    0.0029407023965136135,
    0.004270537299985825,
    0.00341568220663864,
    0.00204017245297599,
    0.002713468743898661,
    0.003085240803036032,
    0.004823340227469328,
    0.004291661745126952,
    0.0037424911966339926,
    0.005008139823124569,
    0.00656345153260763,
    0.007454292422571237,
    0.006397310522735512,
    0.005113591594047178,
    0.003646389584731941,
    0.002049833569180443,
    0.0012969737744989325,
    0.002311252303339059,
    0.003209378537894543,
    0.004658424066010618,
    0.005850989331923254,
    0.0054774587139412535,
    0.013485886068253754,
    0.025460554704188655,
    0.011767300247546797,
    0.0047355472543922006,
    0.004451337031612543,
    0.006455004232694715,
    0.010299550194069472,
    0.013522143315417696,
    0.024653748525697586,
    0.07653239502163423,
    0.134755589969502,
    0.10291940230188355,
    0.06867906323849748,
    0.032325314920787905,
    0.016618019145053023,
    0.01067593179755422,
    0.017103360020935453,
    0.03134751173682921,
    0.04113808925698385,
    0.04601153921720563,
    0.021595400668785545,
    0.017098700729224856,
    0.01922813748493638,
    0.0330754446666018,
    0.024958556082758487,
    0.02075957737829177,
    0.033092259740090696,
    0.06548316873479787,
    0.060214071433986646,
    0.03264229462751672,
    0.012009330720141908,
    0.009089817264332231,
    0.015516537023733927,
    0.02076073572400521,
    0.0424881214862352,
    0.10197828155282637,
    0.12468242608305015,
    0.0971098407773749,
    0.0907356406239673,
    0.05217147568099291,
    0.015544890408561161,
    0.008763539278638358,
    0.008220119884498995,
    0.014890674530923203,
    0.013813540351190551,
    0.007229231802263658,
    0.00810686856639141,
    0.008545534124748492,
    0.010196380482258413,
    0.014861559473182614,
    0.017218709010350525,
    0.012187560411942185,
    0.01485953371350853,
    0.023828370311308744,
    0.03520581004234657,
    0.031872747346949545,
    0.03508030629109123,
    0.039134205861228046,
    0.03867464491403572,
    0.052350569049886886,
    0.05883581240879209,
    0.030152749825817917,
    0.02457791537357042,
    0.008151579925130175,
    0.004226460747705806,
    0.005529654199523854,
    0.01026380306878979,
    0.013128836028392358,
    0.014910911452582798,
    0.027944687699516822,
    0.0610648600671731,
    0.07831372987191881,
    0.06673119542609508,
    0.038793897597895186,
    0.04206259394929215,
    0.03489053273914943,
    0.019508050646471015,
    0.016995430144159836,
    0.033435899015343905,
    0.025808508314483208,
    0.02267485912857944,
    0.04506768013280239,
    0.036329999130502055,
    0.02211047077285699,
    0.011100053911202896,
    0.008253709283743907,
    0.005310620515427461,
    0.005470827665928708,
    0.012837979576024476,
    0.03728353571998246,
    0.04010162709151232,
    0.01953004596310582,
    0.012380971129578647,
    0.007768493090462596,
    0.005930881006074244,
    0.00353217771774926,
    0.0016655958407087738,
    0.0021465456266868,
    0.0029469564820371677,
    0.0029349693890897833,
    0.003667919911693521,
    0.009190515832629791,
    0.01993115712813201,
    0.023684537723825425,
    0.035851413414173666,
    0.05860286428100882,
    0.0339719011172974,
    0.018787094288565013,
    0.013898077115214496,
    0.009525953961678381,
    0.008281140065409332,
    0.005602285083607974,
    0.009125576856195056,
    0.01272403196483787,
    0.020550290258405865,
    0.03352149768443937,
    0.03612497928017053,
    0.032713602772548485,
    0.03760821874098377,
    0.05911202284614399,
    0.05819321200896989,
    0.036862392892680396,
    0.023670720740411114,
    0.022960890528573575,
    0.01937048853800657,
    0.022166517340011897,
    0.02784472000834346,
    0.0415436159154193,
    0.042599548583131926,
    0.03826224564688741,
    0.05097036694652029,
    0.052265393125376786,
    0.03414566472345788,
    0.03824279297322377,
    0.044120220396049945,
    0.04024532593881888,
    0.02526463975911814,
    0.048485605422188716,
    0.0630501077640192,
    0.06139243504373189,
    0.06950151724462746,
    0.05890783837929751,
    0.04396104865526274,
    0.040912057203599334,
    0.060990904323807736,
    0.061397255073668895,
    0.041880789939086026,
    0.05162431606312222,
    0.06068979088604318,
    0.030486364736877224,
    0.026245496060550474,
    0.020498531161993,
    0.007626728844845081,
    0.01217171604043869,
    0.020304697658271288,
    0.026898546976286162,
    0.058566525404569005,
    0.05727556169678665,
    0.029571962240394135,
    0.027267009824826324,
    0.014058002708885135,
    0.006133894508109097,
    0.006157891790678867,
    0.00895830404106855,
    0.007855009147219549,
    0.011388393005562282,
    0.011492763699745544,
    0.012533900655618468,
    0.017584828927833404,
    0.029992513131479707,
    0.012235849121777158,
    0.006760584693715133,
    0.006742120739412626,
    0.006514351120760336,
    0.008755031631843721,
    0.019692638177696068,
    0.03064836808173421,
    0.025974763930882647,
    0.01836529577367319,
    0.012676990621378587,
    0.008157769413474378,
    0.005620005910376216,
    0.0037745423514363194,
    0.004200266830972002,
    0.006821428546754609,
    0.007780633345041989,
    0.013272405708717875,
    0.01934676188075937,
    0.019017174630075705,
    0.01767306860355,
    0.013711133704066769,
    0.011163453416429887,
    0.013341518958859001,
    0.02215107265611593,
    0.025151225480453964,
    0.014270928743610486,
    0.01568422254762974,
    0.022786065870563876,
    0.028072641397324648,
    0.04654626234414488,
    0.05545644550609144,
    0.03176111530251341,
    0.011662479981701331,
    0.004222188957943627,
    0.004114498193540639,
    0.0040293644555678835,
    0.004439677670702106,
    0.006155784095574787,
    0.007490365700774768,
    0.010199011761854882,
    0.009198514290062994,
    0.0043336756507367236,
    0.0017532068567886324,
    0.001751097065253416,
    0.003639053563753446,
    0.013199919701450383,
    0.0336815457473156,
    0.06503668595077526,
    0.10549270159306398,
    0.11276303518854515,
    0.09052292386698972,
    0.030484034465796752,
    0.0103996637926351,
    0.0059812816224723096,
    0.004480167090840064,
    0.0028035441050404393,
    0.003255123097049834,
    0.006248405426653137,
    0.0037351841519224294,
    0.004043901936485059,
    0.007456322525370387,
    0.01678290724661051,
    0.02581818790679739,
    0.020656759008174163,
    0.01983401617509692,
    0.030451008887977957,
    0.021059932423024248,
    0.014413725961924615,
    0.019674195821396692,
    0.011268140144418867,
    0.007103265312215379,
    0.009160015696578845,
    0.013385711281123138,
    0.017785254384445316,
    0.018773724817232162,
    0.030770653889534517,
    0.05621650704996174,
    0.0764518667456106,
    0.1059071086867977,
    0.11300032028822325,
    0.04477432741184817,
    0.0325566896282167,
    0.01927670772574887,
    0.01342740536579165,
    0.010424216093074506,
    0.0070604709270007575,
    0.016573701969625723,
    0.01984301481253095,
    0.015778528337910134,
    0.012151147532950395,
    0.010453787984551181,
    0.015110915962983472,
    0.019852536554573343,
    0.009495061375669044,
    0.009489308407743341,
    0.007315250604301071,
    0.002718360438294565,
    0.004022412867183568,
    0.004947984622122906,
    0.004279050027837424,
    0.004079428550439487,
    0.004132519406432254,
    0.0046876343082736145,
    0.0024375489391422304,
    0.0026088654208352834,
    0.008270118483191119,
    0.010552703988548332,
    0.00416227305789387,
    0.003080363978443815,
    0.00398551407390458,
    0.00480360061051914,
    0.006451251147248128,
    0.009513900588596746,
    0.019740580866888093,
    0.05804902669973944,
    0.05904376090451849,
    0.059887980435824065,
    0.041675873001968164,
    0.018638973710406435,
    0.00467202400307015,
    0.0018837033714460144,
    0.002322265651426877,
    0.005048703109399826,
    0.011353598136826066,
    0.02441478373887764,
    0.021157983017574013,
    0.016224519192530686,
    0.025227273822581855,
    0.04007254131098499,
    0.028320927276403656,
    0.021666776487798366,
    0.029784468652858914,
    0.019941727478937556,
    0.00839967617482027,
    0.004534679571937025,
    0.0025478900605046886,
    0.0035007811415357633,
    0.0037175447018712045,
    0.0022113605407411414,
    0.0051841050287954925,
    0.010096179051395066,
    0.007826181289297763,
    0.006510531101766077,
    0.00406369561192914,
    0.0031637067405639167,
    0.004619761193016635,
    0.007180627191656484,
    0.01128464144635514,
    0.017127873401800248,
    0.0304982683033545,
    0.04617632969292468,
    0.028686155916558605,
    0.018865234116469825,
    0.006789208787081376,
    0.002654162090278382,
    0.002069872018595925,
    0.0019245304842406255,
    0.0020354205649261653,
    0.002065900093294655,
    0.002390415140310742,
    0.005866004028171841,
    0.008939067885326956,
    0.007096865912052893,
    0.006563610374379233,
    0.009636513741078106,
    0.006665402559276889,
    0.005964636448230045,
    0.0073528096306269015,
    0.005877388289136203,
    0.006203747643458692,
    0.013088818013934803,
    0.023844206030088036,
    0.02169140495690035,
    0.03590082744156783,
    0.044202084370284715,
    0.0213514747295046,
    0.012177192552431366,
    0.00856590692023353,
    0.005530080912493858,
    0.005583872272324668,
    0.005964411213435448,
    0.006637699431515589,
    0.01565527570951767,
    0.033632861526839614,
    0.032689457983736216,
    0.04412196127254309,
    0.06931558307974087,
    0.09093786367129575,
    0.07501250234736319,
    0.03648540701308482,
    0.016800341211058903,
    0.0161921752827111,
    0.00921370306900658,
    0.004271288078121364,
    0.004788415680392719,
    0.005584886645964359,
    0.009669134471514303,
    0.011207333621054147,
    0.01166397177466302,
    0.010068968960888911,
    0.01764004458249349,
    0.02995835899870069,
    0.03696754523656769,
    0.05372603219801416,
    0.049493103086501525,
    0.061216200286911916,
    0.07326324039467112,
    0.04317529261174295,
    0.019877497274726486,
    0.012353137107899377,
    0.00409862866079202,
    0.0032709840164332725,
    0.004693089959297823,
    0.004700310812980684,
    0.006236237128443737,
    0.011846355308465138,
    0.025880052243685062,
    0.03024032091303804,
    0.018783850051702206,
    0.025773043073751202,
    0.015588898037621883,
    0.007798472403241882,
    0.00606023421407957,
    0.00442111503150631,
    0.0050609937392563495,
    0.009765033914423158,
    0.012131347199487337,
    0.021473284468312665,
    0.03222588722397328,
    0.026024096528637478,
    0.021237886341327804,
    0.01802889166879456,
    0.013460598651001783,
    0.013237322898427068,
    0.014534850915577002,
    0.009699499959349435,
    0.01979070783084091,
    0.040564404795085975,
    0.02158236557315904,
    0.015040692959435355,
    0.012946436494253545,
    0.01078821750537998,
    0.014826157746697197,
    0.012914126282591972,
    0.005837843726633383,
    0.005579336736800586,
    0.01754049798440541,
    0.024610707245496244,
    0.017638089130624333,
    0.013861629365997198,
    0.014765171174260149,
    0.011541538488688444,
    0.010013440879127262,
    0.005166217819375547,
    0.0025120412121215226,
    0.0029455625903134787,
    0.0049225350424504655,
    0.0034760581650398782,
    0.0017151119921820256,
    0.002199360736801195,
    0.0023208496003923377,
    0.001227662836454517,
    0.002339545067929131,
    0.008225068015409662,
    0.006244917829439317,
    0.006347896077926173,
    0.013165631384943852,
    0.02470979468059449,
    0.013865269208776612,
    0.006926650140683038,
    0.008009777459342204,
    0.003557582741473536,
    0.0018027564066533202,
    0.002056349258820982,
    0.0030208763712643014,
    0.0028222386451022857,
    0.002713205505811495,
    0.005099816436630144,
    0.007681308654990847,
    0.009478570829866131,
    0.01222913526296576,
    0.018679450703246323,
    0.02744089970087166,
    0.03361665429090108,
    0.02362758128202886,
    0.023800139753707372,
    0.015657211741471944,
    0.01073457932927596,
    0.012576299496767356,
    0.018875553689627275,
    0.0218098101574439,
    0.018909146414097373,
    0.019259675179045813,
    0.019795221105115134,
    0.025920713476425047,
    0.036202165982610834,
    0.020350528064452866,
    0.014532192519194269,
    0.010990350098375252,
    0.021607075845392974,
    0.05137219988804107,
    0.06357435388949939,
    0.09622140145977207,
    0.111352706336851,
    0.09552057612962374,
    0.06664597448972562,
    0.052677107963155986,
    0.030455264270254953,
    0.01999583786252586,
    0.024185950929263074,
    0.015714248928617437,
    0.02250560392897495,
    0.03480574991705628,
    0.03197623789887217,
    0.05269136248450208,
    0.14317081892813108,
    0.25410428265572155,
    0.2524039189647509,
    0.17027919154144533,
    0.14866434986039034,
    0.13197609258816628,
    0.04553158109054471,
    0.016200110471948578,
    0.014550644156124774,
    0.010509953527087123,
    0.010709434602738013,
    0.006869283587274542,
    0.010196466424809574,
    0.018156872791764568,
    0.016784734661682132,
    0.015678649709061163,
    0.0172196052944059,
    0.035672872609775454,
    0.09392146494065982,
    0.14862832117965386,
    0.19548932713014788,
    0.2488195606988668,
    0.3384554176021087,
    0.35969501583026864,
    0.25266272406041107,
    0.19501581799658324,
    0.2459658838406981,
    0.2200315934301611,
    0.11562210412163527,
    0.11520997433367544,
    0.17020360831298306,
    0.1220395945568481,
    0.08333316263676377,
    0.11879724398214148,
    0.17855378639682798,
    0.17608722965057635,
    0.13122467825739917,
    0.13012340977109854,
    0.09769075450130414,
    0.06822048006780136,
    0.0681521225215263,
    0.0876465547464324,
    0.07505855850033476,
    0.07502825467042201,
    0.05966247769960661,
    0.020225446533971854,
    0.014307386523823334,
    0.014617523701506195,
    0.013380501304413475,
    0.029887559550978247,
    0.06011373802133401,
    0.0857766783819479,
    0.1201085619530029,
    0.08676266513223758,
    0.0906557214084371,
    0.1194528825906001,
    0.1463483366311492,
    0.17352317491325892,
    0.2634390315695313,
    0.33277710757297185,
    0.21222460824833997,
    0.1756755273739902,
    0.22225498907399718,
    0.2207708162328563,
    0.16120277446064907,
    0.1242004706355764,
    0.13820976931275192,
    0.10757016238508935,
    0.0932936380805084,
    0.12744294817487953,
    0.0964464548268485,
    0.07912144456892496,
    0.04642385478688446,
    0.02165422195791408,
    0.013919730213256841,
    0.017001169464332604,
    0.010290342645808456,
    0.004320336416036876,
    0.008100977721635432,
    0.033603668742229365,
    0.045230821443655575,
    0.051930106028888645,
    0.11320554098824456,
    0.23929867875527033,
    0.15303015999303043,
    0.0882191172554819,
    0.12328692064872504,
    0.16101281412524424,
    0.13739624662663502,
    0.15456667311385225,
    0.20650994691652527,
    0.18438581364460915,
    0.07465088620418316,
    0.05630081341595395,
    0.07386922720269068,
    0.08129648119872705,
    0.06279111627702906,
    0.041572895414367685,
    0.0522550879457967,
    0.04820220512061617,
    0.043865176815079704,
    0.0367666599447907,
    0.015128395197713187,
    0.0264538168373296,
    0.03628054460594489,
    0.031113226975056786,
    0.03715278621432883,
    0.02466310924572727,
    0.030062861302814034,
    0.019901296884647205,
    0.012647573490441837,
    0.015491393808009745,
    0.016415454239615296,
    0.023954727773745643,
    0.036353533050564796,
    0.03327700530561855,
    0.02682924500314282,
    0.022733254397077844,
    0.020275082339324804,
    0.013571088380411933,
    0.013087227144948421,
    0.020170380701902392,
    0.016299937223618288,
    0.027369581897003423,
    0.05479586115621094,
    0.02274057253413584,
    0.012322298920473223,
    0.01408529739753113,
    0.010481505570521221,
    0.010018237757041125,
    0.02454914576318328,
    0.06606712128386895,
    0.09832711197104754,
    0.07745669542573536,
    0.07381242460268966,
    0.06541448645319027,
    0.041454792488041944,
    0.04784003545246708,
    0.062297617600902584,
    0.07411158580054078,
    0.05185514591570539,
    0.05502062148692092,
    0.08700460377347945,
    0.10273776355195277,
    0.07305099207968944,
    0.12776525465602762,
    0.20601832314922403,
    0.17200029212026788,
    0.21833179374383327,
    0.3562729874332694,
    0.4741606459795902,
    0.47785483169638504,
    0.42858439366058154,
    0.33368054404008,
    0.17333285288782094,
    0.11766185642809783,
    0.15668005136399143,
    0.18761738320531796,
    0.31124547688907256,
    0.3900950905391643,
    0.23566179386676842,
    0.2520794810439692,
    0.28102693489521446,
    0.14302007595764177,
    0.09768580916265213,
    0.11002404719953807,
    0.17728713322766895,
    0.17398066522708144,
    0.12046368432576898,
    0.11106869942078017,
    0.22907240683066835,
    0.23067886180831168,
    0.11996495919830422,
    0.05212190931493987,
    0.061630872404792786,
    0.07574037243260141,
    0.054145030050168345,
    0.03207052163665752,
    0.05564805956052777,
    0.060510056528557156,
    0.02576699486680722,
    0.01826236317344028,
    0.028837294267949957,
    0.02003821335274778,
    0.016541988397517693,
    0.011696564523493859,
    0.01634825884826014,
    0.02271489879311367,
    0.021534937121057834,
    0.012976792388134036,
    0.010848921587284574,
    0.023116151037309213,
    0.0360207493037223,
    0.043507178529333466,
    0.03537714370743513,
    0.060216597485641996,
    0.05841237614516254,
    0.02167641883679943,
    0.023696168052262677,
    0.02473056123323167,
    0.015685156660287934,
    0.007413731589150583,
    0.006492803527627651,
    0.010254913462929668,
    0.031088348478389035,
    0.07363478076571393,
    0.1067300979604594,
    0.14445131956545848,
    0.17169420312758593,
    0.2053379192319214,
    0.14323580262185615,
    0.14327742667808027,
    0.19089180026037755,
    0.16546748356627944,
    0.13931190395746312,
    0.18984338666041425,
    0.19264768524824863,
    0.08268108076028573,
    0.054706608960431446,
    0.06519580775520462,
    0.05967130481576372,
    0.061033615781163494,
    0.07368126969741187,
    0.06776547546615658,
    0.05341215332185541,
    0.07433501657005408,
    0.12701167995206797,
    0.09898959518228592,
    0.03434742438852224,
    0.01398436955530495,
    0.009879913245990265,
    0.005456607452896188,
    0.004624635216030934,
    0.007491641675661161,
    0.008193525787324326,
    0.012499883142001723,
    0.044674279408623514,
    0.0642639266899532,
    0.08239882745488329,
    0.12178361954422547,
    0.05468462279797432,
    0.019449385262869892,
    0.021533603774785245,
    0.018615631872036006,
    0.01075584395552772,
    0.011870324620575863,
    0.011926111979212351,
    0.02258582691995934,
    0.028276677978445474,
    0.034920151403483736,
    0.050575399475005785,
    0.029622656176930294,
    0.035145930659787036,
    0.0161030534265705,
    0.012393941554019742,
    0.02708387252346362,
    0.057277138714276775,
    0.08774157340946419,
    0.13859809806552342,
    0.16932980194490846,
    0.17427422494465744,
    0.1355674315323046,
    0.11100032145529777,
    0.14852012341078333,
    0.19536673477861066,
    0.14805532100537833,
    0.1412921814896561,
    0.2831103810511343,
    0.270858411595874,
    0.09502758812389363,
    0.03915992021009444,
    0.035769442273126645,
    0.017572753389852536,
    0.012054918670918142,
    0.01779029456990514,
    0.03337395742414413,
    0.04875940742686166,
    0.09049078072266752,
    0.13922753239572033,
    0.11732430877456689,
    0.16524582607811175,
    0.19467661321883226,
    0.18707505540733702,
    0.28739820439684405,
    0.4721852303110696,
    0.44318451722139357,
    0.31237116230517453,
    0.22941684925103237,
    0.12284415406693099,
    0.07428556973644986,
    0.06617539974384816,
    0.051735549994168795,
    0.04437940047959543,
    0.044309158597790846,
    0.0468557944651456,
    0.0416833899084594,
    0.05991912966995963,
    0.06933767823107018,
    0.03717625085518419,
    0.04341221427469388,
    0.07552459654930742,
    0.08957104165933896,
    0.09099859188802956,
    0.11094347571880676,
    0.09108475007586948,
    0.040547327243277795,
    0.031193619785452546,
    0.052664785004697394,
    0.043497041733821205,
    0.025209330518163157,
    0.037143593251848565,
    0.04844889532624844,
    0.03887282679522577,
    0.029383821323762167,
    0.05610675744157853,
    0.08671994944086336,
    0.11075504949412238,
    0.166987362469384,
    0.2352490399218839,
    0.23886767607779796,
    0.29327380597872466,
    0.38907610361908107,
    0.49441025346248935,
    0.4782572266137271,
    0.3581792936261901,
    0.29047646724006093,
    0.21526546294499097,
    0.16872140821778342,
    0.09157626333494107,
    0.04620909659768453,
    0.030994786224226585,
    0.04822008255227572,
    0.03325431761192166,
    0.023990620699054502,
    0.03712778250372718,
    0.04427808796190911,
    0.046342591260758015,
    0.04974599567187343,
    0.06519778845186149,
    0.10279856005656196,
    0.19694464638859624,
    0.3116689970185768,
    0.3111635228577687,
    0.24368246807974736,
    0.18815481897124106,
    0.16951708704842156,
    0.21337726200491083,
    0.2326859806725156,
    0.17386789920235604,
    0.07672034663431258,
    0.09983950685159047,
    0.038651870298535715,
    0.006286987714672399,
    0.00793485059493789,
    0.01263142919483359,
    0.007579263161518792,
    0.014164973811244527,
    0.0273876573547141,
    0.023133248788318964,
    0.04738949904343345,
    0.07582144428186308,
    0.041443826275305705,
    0.021155269174592418,
    0.038984238929377,
    0.034803204229347275,
    0.020991974754884988,
    0.03448615668954367,
    0.04739716122191707,
    0.0518493760837999,
    0.11664067971195488,
    0.18044735107274323,
    0.1623904366626635,
    0.2331848144575475,
    0.32982120317988345,
    0.354392886135962,
    0.3371055649510409,
    0.25164240588749437,
    0.17821875087935704,
    0.13219982318174128,
    0.08447186604802613,
    0.0752295927634754,
    0.08688017297481451,
    0.0977544708833653,
    0.14322993254348196,
    0.14926515670973245,
    0.1556645074722889,
    0.06902470102033594,
    0.04346828796311756,
    0.046538729968925385,
    0.05247169711926717,
    0.06027212500870331,
    0.06725603549785254,
    0.05602964685154662,
    0.08829247710858457,
    0.07660614803528748,
    0.050632348949963935,
    0.03853895943403387,
    0.033111989830633834,
    0.04059639969934487,
    0.044095516414076,
    0.059609591771434475,
    0.061823773984059686,
    0.08263462227209858,
    0.10104055712561973,
    0.13791825659437373,
    0.1268304441712037,
    0.060252817595888075,
    0.027296369260792066,
    0.02190163655674288,
    0.015192109832183717,
    0.007229876554201008,
    0.007033164860437292,
    0.01373650898989205,
    0.022100328391586186,
    0.03966829923183504,
    0.027856781198470924,
    0.010750911732668353,
    0.012894930326681337,
    0.007586415404657806,
    0.005302785954122463,
    0.004380000434398779,
    0.002766144530676912,
    0.002108276964525728,
    0.0035956551650760545,
    0.00988215851690141,
    0.02610126735784698,
    0.0543376585410594,
    0.09791731221552334,
    0.10824485652751897,
    0.05931715005038604,
    0.04606105198644207,
    0.029090242770448874,
    0.010758966212314989,
    0.008630606453799441,
    0.005591457441591633,
    0.0032022577025046404,
    0.006273467287127501,
    0.010948651865213694,
    0.005451360656001388,
    0.00577895180390015,
    0.01482192749954282,
    0.014496937245035684,
    0.013817906603369167,
    0.012006490779010733,
    0.008642019790324829,
    0.01340649288032816,
    0.02149582867189206,
    0.018963642147202118,
    0.017466015327644746,
    0.02148219051074944,
    0.015265556342740053,
    0.022212237143096485,
    0.026199059393812223,
    0.024840044430987973,
    0.04137210484514763,
    0.04878417298051818,
    0.057333272124109005,
    0.05260108305895522,
    0.04110528291505138,
    0.03864035204221696,
    0.039179209450674,
    0.04596089949358849,
    0.05050731750408063,
    0.05477456895363115,
    0.06062097914267237,
    0.06151590538770605,
    0.06134671604469968,
    0.04502846772635153,
    0.0303726407687782,
    0.04746146263330685,
    0.06158627899249293,
    0.03785226114645185,
    0.04461174117324558,
    0.05761689678251859,
    0.04927357082548902,
    0.03273002500842794,
    0.027966284851386875,
    0.03193845287748266,
    0.030668365255861987,
    0.036629779687939804,
    0.06616353839887931,
    0.10046891867516378,
    0.11973015496323848,
    0.12070269379869823,
    0.17897576806197257,
    0.20988299257241716,
    0.1867076262096325,
    0.12220419463154303,
    0.055296808394836514,
    0.027920441209850048,
    0.010490989776612182,
    0.00875042838038366,
    0.007831627536216882,
    0.004145534145332903,
    0.0028860392470697813,
    0.00440327890557649,
    0.013017766662972956,
    0.0158108886558677,
    0.01466834465488275,
    0.018808073839177982,
    0.015346285179576931,
    0.014638351234593817,
    0.014473721293954297,
    0.014090681672868463,
    0.009228010352898655,
    0.008926706885315043,
    0.006818593050869108,
    0.003520455479456438,
    0.004817700229395054,
    0.0062831020093329715,
    0.005596896585073463,
    0.00729082117506957,
    0.006417524436148084,
    0.006050255366516474,
    0.005948117789197359,
    0.006989981281028671,
    0.012024632189832735,
    0.015501431367935702,
    0.026743275726259216,
    0.03111319465376424,
    0.03455328218945392,
    0.029110875502053272,
    0.014263638102271336,
    0.0108662335949607,
    0.008190251075941369,
    0.0032796064618514625,
    0.016556741993948066
  ],
  "agmata": [
    6.786146e-06,
    9.870227e-06,
    1.000097e-05,
    1.003105e-05,
    3.32853e-06,
    1.103635e-06,
    1.081598e-05,
    4.813203e-05,
    9.311927e-05,
    0.0001023256,
    9.33969e-05,
    5.621354e-05,
    1.106526e-05,
    1.089718e-06,
    2.318651e-06,
    7.064089e-05,
    0.001475104,
    0.009426456,
    0.02326121,
    0.02986762,
    0.02992781,
    0.0223373,
    0.008573908,
    0.001816584,
    0.0003561703,
    8.096802e-05,
    0.0001079052,
    0.0007101398,
    0.004082907,
    0.01267772,
    0.01834355,
    0.01900667,
    0.01578214,
    0.007185893,
    0.001392693,
    0.0001065835,
    4.62355e-06,
    1.922799e-07,
    2.042987e-09,
    2.585115e-08,
    7.418696e-07,
    1.170886e-05,
    0.000175765,
    0.0008713945,
    0.002223581,
    0.005981978,
    0.009503262,
    0.01082225,
    0.01003893,
    0.006369775,
    0.002671014,
    0.0006506579,
    9.696627e-05,
    1.830213e-05,
    3.646007e-06,
    6.03347e-07,
    5.005299e-07,
    1.76248e-05,
    0.0006105077,
    0.01154135,
    0.08499413,
    0.1715993,
    0.186409,
    0.176681,
    0.1043585,
    0.01665928,
    0.0008688116,
    1.667206e-05,
    5.083214e-07,
    5.912966e-07,
    1.144893e-05,
    0.0005521749,
    0.008924278,
    0.02570805,
    0.02754395,
    0.02704066,
    0.01872029,
    0.001902741,
    2.254648e-05,
    1.137967e-07,
    0.0,
    4.293721e-08,
    6.963774e-07,
    4.944497e-06,
    1.763397e-05,
    3.783829e-05,
    4.917064e-05,
    4.857286e-05,
    3.694825e-05,
    1.73657e-05,
    6.212114e-06,
    3.958432e-06,
    4.144581e-06,
    4.043814e-06,
    3.314714e-06,
    1.946513e-06,
    7.213249e-07,
    1.564986e-07,
    2.289876e-08,
    0.0,
    3.317581e-08,
    1.363879e-06,
    6.218965e-05,
    0.001079907,
    0.002366359,
    0.002594955,
    0.002545934,
    0.001533159,
    0.0002435514,
    1.143376e-05,
    2.615821e-07,
    1.655077e-09,
    2.81096e-08,
    4.902399e-07,
    2.351162e-06,
    6.921919e-06,
    1.385e-05,
    2.248451e-05,
    3.267085e-05,
    3.997533e-05,
    5.082098e-05,
    7.916821e-05,
    0.0001270635,
    0.0001639643,
    0.0001655176,
    0.000130889,
    7.125523e-05,
    2.251271e-05,
    3.153506e-06,
    4.609968e-07,
    3.639508e-07,
    1.030288e-06,
    2.304048e-06,
    4.092631e-06,
    7.118084e-06,
    1.123267e-05,
    1.604064e-05,
    1.903811e-05,
    1.782003e-05,
    1.333171e-05,
    7.300191e-06,
    2.460474e-06,
    4.50047e-07,
    8.192668e-08,
    1.9324e-09,
    0.0,
    0.0,
    0.0,
    7.182108e-09,
    2.171353e-07,
    9.92303e-07,
    1.407779e-06,
    1.431188e-06,
    1.221235e-06,
    4.460672e-07,
    3.05914e-08,
    0.0,
    1.07002e-08,
    8.722852e-07,
    2.067938e-05,
    0.0001174979,
    0.0001869439,
    0.000200811,
    0.0001834823,
    8.72253e-05,
    1.775733e-05,
    3.011134e-06,
    7.500868e-07,
    7.300192e-07,
    2.133153e-06,
    1.06402e-05,
    7.532824e-05,
    0.0005123968,
    0.001558348,
    0.002871029,
    0.003548017,
    0.003589224,
    0.003054348,
    0.004007416,
    0.03311742,
    0.520945,
    5.80217,
    13.3814,
    14.28354,
    13.87162,
    8.780139,
    1.045177,
    0.04167811,
    0.001955935,
    0.000585524,
    0.00104371,
    0.001513433,
    0.001519445,
    0.001252309,
    0.0006539088,
    0.0001192914,
    3.279099e-05,
    0.000181981,
    0.0008026275,
    0.001268732,
    0.001305441,
    0.001148186,
    0.0005265265,
    5.568635e-05,
    1.658663e-06,
    1.483958e-07,
    5.444443e-07,
    2.011331e-06,
    5.553263e-06,
    1.136967e-05,
    2.49959e-05,
    8.78254e-05,
    0.0004342912,
    0.002017607,
    0.004195771,
    0.004893516,
    0.004648772,
    0.003075072,
    0.0008779047,
    0.0001109791,
    1.164379e-05,
    1.073763e-05,
    2.197636e-05,
    4.191274e-05,
    5.702306e-05,
    5.606215e-05,
    4.424375e-05,
    2.349393e-05,
    6.288384e-06,
    1.214356e-06,
    1.613201e-05,
    0.003430697,
    0.5307717,
    11.72771,
    29.05222,
    30.21069,
    29.75369,
    18.91945,
    1.346052,
    0.01472936,
    8.763469e-05,
    2.450736e-06,
    8.572149e-07,
    1.894641e-06,
    5.79645e-06,
    2.398635e-05,
    0.0001108074,
    0.0004351153,
    0.001995552,
    0.007972752,
    0.02200031,
    0.04157046,
    0.05510893,
    0.05504205,
    0.04313185,
    0.02395012,
    0.008912118,
    0.003010989,
    0.0008762147,
    0.0002236184,
    6.654725e-05,
    2.267509e-05,
    1.583312e-05,
    3.599752e-05,
    0.0001468779,
    0.0008794088,
    0.007698812,
    0.04525791,
    0.1823342,
    0.3603944,
    0.4252815,
    0.3921946,
    0.2561695,
    0.07646552,
    0.003904686,
    0.0007184085,
    0.001113419,
    0.001577194,
    0.001913227,
    0.001821373,
    0.00129959,
    0.0007841922,
    0.0003607567,
    0.0001438396,
    8.873043e-05,
    7.52561e-05,
    6.963732e-05,
    5.59767e-05,
    3.577695e-05,
    1.594129e-05,
    3.138304e-06,
    4.914229e-07,
    1.720529e-06,
    4.510154e-05,
    0.001914381,
    0.05864884,
    0.9028445,
    4.311496,
    7.083095,
    7.932707,
    7.20231,
    3.837671,
    1.010005,
    0.0620882,
    0.001458578,
    6.708806e-05,
    0.0001947366,
    0.00220104,
    0.02014478,
    0.1198843,
    0.3695123,
    0.5317052,
    0.5529661,
    0.466384,
    0.2188016,
    0.0538435,
    0.01434447,
    0.005060158,
    0.002643547,
    0.00119581,
    0.0005194727,
    0.0003647402,
    0.002055181,
    0.01205661,
    0.02144829,
    0.02317523,
    0.0215064,
    0.01153117,
    0.002030552,
    9.784578e-05,
    3.806303e-06,
    2.038267e-07,
    9.435332e-06,
    0.001649953,
    0.1058276,
    2.003017,
    9.478728,
    15.67689,
    16.94647,
    15.21234,
    7.849867,
    1.502782,
    0.06081697,
    0.001198526,
    1.201418e-05,
    7.907318e-08,
    0.0,
    6.036768e-09,
    5.807398e-07,
    1.51403e-05,
    7.118392e-05,
    0.0001290404,
    0.00014263,
    0.0001293099,
    7.350116e-05,
    1.559626e-05,
    1.383703e-06,
    2.583883e-07,
    6.264464e-07,
    4.340342e-06,
    2.185883e-05,
    7.046975e-05,
    0.0001537951,
    0.000268329,
    0.0003731767,
    0.0004029032,
    0.0003522871,
    0.0002490812,
    0.0001348678,
    6.529076e-05,
    4.441268e-05,
    4.006916e-05,
    3.65702e-05,
    2.915518e-05,
    1.750462e-05,
    7.376482e-06,
    3.418223e-06,
    3.965694e-06,
    5.412401e-06,
    5.26927e-06,
    4.324397e-06,
    2.35555e-06,
    4.255061e-07,
    9.940871e-08,
    7.097255e-07,
    9.734513e-06,
    8.668656e-05,
    0.0002440427,
    0.0002930186,
    0.0002907656,
    0.0002146297,
    5.726412e-05,
    7.381912e-06,
    6.328213e-07,
    1.08732e-07,
    9.898472e-08,
    1.61211e-07,
    3.458436e-07,
    1.031181e-06,
    5.041322e-06,
    1.847053e-05,
    4.134777e-05,
    5.919725e-05,
    6.461829e-05,
    5.680663e-05,
    4.16868e-05,
    4.289053e-05,
    6.419897e-05,
    8.36808e-05,
    8.524328e-05,
    6.727644e-05,
    3.670609e-05,
    1.15626e-05,
    2.068179e-06,
    4.375908e-07,
    1.835001e-06,
    3.239282e-05,
    0.0004211973,
    0.001615562,
    0.002938191,
    0.003522977,
    0.00340231,
    0.002331612,
    0.001048562,
    0.000447261,
    0.0001892345,
    7.455532e-05,
    3.831615e-05,
    4.230226e-05,
    0.0001158253,
    0.0002742346,
    0.00053463,
    0.0006553757,
    0.0006462207,
    0.0005112219,
    0.0002517293,
    0.0001101159,
    3.801025e-05,
    9.2738e-06,
    1.567889e-06,
    1.526347e-07,
    2.978683e-07,
    2.548875e-06,
    1.027522e-05,
    1.528913e-05,
    1.639934e-05,
    1.500002e-05,
    9.340422e-06,
    2.942646e-05,
    0.0005524069,
    0.004961996,
    0.01517218,
    0.02050108,
    0.02142725,
    0.01738152,
    0.007256994,
    0.001881023,
    0.0004179127,
    0.0001030465,
    2.884886e-05,
    6.001135e-06,
    1.4902e-06,
    9.860989e-07,
    6.765097e-06,
    7.025343e-05,
    0.0004358045,
    0.002198396,
    0.006628551,
    0.01033493,
    0.01168239,
    0.01026029,
    0.005981337,
    0.002456377,
    0.001398094,
    0.002257545,
    0.002957319,
    0.003078786,
    0.002682978,
    0.001981536,
    0.002670389,
    0.007708611,
    0.01593898,
    0.01811657,
    0.01690576,
    0.0115546,
    0.003046583,
    0.0003871144,
    0.0002109207,
    0.001159829,
    0.004582774,
    0.007505255,
    0.008076929,
    0.007158462,
    0.003732853,
    0.0007769092,
    6.638492e-05,
    5.74043e-06,
    1.461335e-06,
    2.110416e-06,
    5.182613e-06,
    1.114502e-05,
    2.183332e-05,
    3.215889e-05,
    4.039853e-05,
    4.785579e-05,
    8.568103e-05,
    0.0006892059,
    0.009125338,
    0.05819238,
    0.1003972,
    0.1053473,
    0.09757379,
    0.04884619,
    0.006328264,
    0.0006371548,
    9.279076e-05,
    3.121254e-05,
    1.821238e-05,
    1.105679e-05,
    5.575301e-06,
    1.529071e-06,
    2.384001e-07,
    2.160596e-08,
    1.856335e-09,
    1.758683e-08,
    1.070219e-07,
    8.926224e-07,
    1.022439e-05,
    0.0001819029,
    0.002640415,
    0.03062042,
    0.1540986,
    0.3574815,
    0.450014,
    0.4538575,
    0.3449186,
    0.1458872,
    0.05073924,
    0.01880075,
    0.00613917,
    0.001374,
    0.0001464677,
    9.137732e-06,
    6.227393e-07,
    5.121328e-08,
    1.611009e-09,
    9.957751e-08,
    6.226206e-06,
    0.0002433483,
    0.002948464,
    0.01317302,
    0.02088962,
    0.02169292,
    0.01907537,
    0.008886246,
    0.001125625,
    6.750164e-05,
    3.178436e-06,
    3.97722e-07,
    1.305803e-06,
    6.677361e-06,
    1.594781e-05,
    2.280106e-05,
    3.042572e-05,
    4.595578e-05,
    0.0001353027,
    0.0007355852,
    0.001703841,
    0.001999941,
    0.001961755,
    0.001364178,
    0.0003879234,
    6.978199e-05,
    9.684597e-06,
    2.234174e-06,
    7.767806e-07,
    4.420429e-07,
    1.197536e-06,
    1.065616e-05,
    0.0001277417,
    0.0009292127,
    0.003821809,
    0.006781348,
    0.008324904,
    0.008129474,
    0.005331567,
    0.002374815,
    0.0007054606,
    0.0001021511,
    1.742403e-05,
    2.036676e-06,
    4.799466e-06,
    0.0002576445,
    0.003643111,
    0.01435749,
    0.02356238,
    0.02538263,
    0.02218373,
    0.01153944,
    0.002273671,
    0.0001574823,
    4.31482e-06,
    4.382719e-07,
    1.532904e-05,
    0.0005248209,
    0.003500752,
    0.006408697,
    0.00674326,
    0.006247517,
    0.003279188,
    0.0003610396,
    7.929554e-06,
    1.223517e-07,
    1.54995e-09,
    0.0,
    7.978721e-09,
    4.545361e-08,
    1.144132e-07,
    2.362271e-07,
    7.014542e-07,
    3.605974e-06,
    2.496841e-05,
    7.90831e-05,
    0.0001284369,
    0.0001457553,
    0.0001311596,
    7.893382e-05,
    2.971366e-05,
    9.520861e-06,
    2.74659e-06,
    8.38508e-07,
    1.773024e-07,
    4.322646e-08,
    3.696383e-07,
    2.353274e-05,
    0.0005478356,
    0.002747723,
    0.004940307,
    0.005416312,
    0.004980024,
    0.002810025,
    0.0006089118,
    0.000106502,
    2.933974e-05,
    4.746992e-05,
    0.0004333419,
    0.002920043,
    0.009679438,
    0.01423222,
    0.01478378,
    0.01242266,
    0.005689837,
    0.001083221,
    0.0001462831,
    0.0001070969,
    0.0004415158,
    0.002725802,
    0.006516303,
    0.008869323,
    0.009180837,
    0.007036166,
    0.003275197,
    0.0008503186,
    0.0001899569,
    6.06419e-05,
    1.832676e-05,
    6.768968e-06,
    1.651911e-06,
    3.081982e-07,
    8.186009e-08,
    2.543358e-07,
    2.041567e-06,
    2.68851e-05,
    0.0005870052,
    0.00792862,
    0.07010933,
    0.1140601,
    0.1179257,
    0.1109276,
    0.0488882,
    0.00468439,
    0.0001867741,
    4.599942e-06,
    2.927892e-07,
    1.520738e-06,
    4.053138e-05,
    0.000897285,
    0.004513642,
    0.008372217,
    0.009960225,
    0.009391733,
    0.005844581,
    0.001985459,
    0.0003533383,
    0.0001043927,
    0.0002698822,
    0.0008965794,
    0.001591574,
    0.002124062,
    0.00258332,
    0.003026567,
    0.003322557,
    0.003123097,
    0.002524132,
    0.001456238,
    0.0004609705,
    0.0001007464,
    4.38385e-05,
    7.386913e-05,
    0.0002309105,
    0.000610921,
    0.0007949773,
    0.0007714242,
    0.0006085817,
    0.0002207399,
    2.241558e-05,
    1.173091e-06,
    1.598661e-07,
    2.475569e-07,
    1.238582e-06,
    1.275534e-05,
    0.0001503434,
    0.0008304639,
    0.001279277,
    0.001342163,
    0.001207533,
    0.0005291951,
    7.727195e-05,
    2.058386e-06,
    2.365624e-08,
    2.398652e-08,
    1.613038e-06,
    3.165438e-05,
    0.0002060884,
    0.000422931,
    0.0005333007,
    0.0005190667,
    0.0003464462,
    0.0001294146,
    1.701021e-05,
    1.339005e-06,
    1.101025e-07,
    6.04565e-07,
    7.756364e-06,
    3.594536e-05,
    7.009757e-05,
    8.765247e-05,
    8.49786e-05,
    5.80711e-05,
    2.418991e-05,
    6.166113e-06,
    2.048941e-06,
    2.778313e-06,
    2.234223e-05,
    0.0001242012,
    0.0003137599,
    0.0004018265,
    0.0004031205,
    0.0003036511,
    0.0001138543,
    2.35513e-05,
    2.381202e-06,
    2.098919e-07,
    2.074458e-07,
    2.832706e-06,
    3.649628e-05,
    0.0001944947,
    0.0003183774,
    0.0003467516,
    0.0003150982,
    0.000157434,
    3.316175e-05,
    1.938364e-06,
    1.779361e-07,
    2.772959e-07,
    9.089388e-07,
    1.641964e-06,
    1.949041e-06,
    2.007852e-06,
    1.627474e-06,
    1.384219e-06,
    1.9099e-06,
    2.48316e-06,
    3.062156e-06,
    3.200363e-06,
    2.623508e-06,
    1.932964e-06,
    1.142692e-06,
    5.289138e-07,
    2.393091e-07,
    1.146194e-07,
    2.441693e-07,
    2.464235e-06,
    2.934841e-05,
    0.000237895,
    0.001202139,
    0.002035066,
    0.00225034,
    0.002071658,
    0.001112738,
    0.0002747272,
    3.303657e-05,
    2.714594e-05,
    0.0002015242,
    0.0007899836,
    0.001407363,
    0.001763267,
    0.001725179,
    0.00119284,
    0.0005828106,
    0.0002065739,
    7.069976e-05,
    1.942103e-05,
    2.024592e-05,
    4.848363e-05,
    7.131654e-05,
    7.53638e-05,
    6.518148e-05,
    3.415173e-05,
    1.028043e-05,
    8.695946e-06,
    3.002149e-05,
    4.747382e-05,
    5.223573e-05,
    4.74722e-05,
    2.502779e-05,
    7.088203e-06,
    1.236655e-06,
    5.733405e-07,
    1.581558e-06,
    5.080457e-06,
    9.547681e-06,
    1.385334e-05,
    1.820999e-05,
    2.915059e-05,
    8.578323e-05,
    0.0003607114,
    0.0007385004,
    0.0009546019,
    0.0009440206,
    0.0006706445,
    0.0002876141,
    5.622266e-05,
    5.862375e-06,
    4.665303e-07,
    6.399241e-08,
    3.244252e-08,
    6.830615e-08,
    1.673291e-07,
    2.955298e-07,
    3.880912e-07,
    4.572923e-07,
    6.051268e-07,
    1.271676e-06,
    3.72006e-06,
    7.467512e-06,
    9.701382e-06,
    9.436711e-06,
    7.011375e-06,
    3.214389e-06,
    8.313205e-07,
    1.252148e-06,
    8.07574e-06,
    4.161128e-05,
    0.0001231626,
    0.0001759029,
    0.0001859524,
    0.0001551023,
    7.38308e-05,
    1.996372e-05,
    2.902088e-06,
    2.768207e-07,
    2.627419e-07,
    1.697705e-06,
    9.102951e-06,
    3.769494e-05,
    0.0001388724,
    0.0003380371,
    0.0004291116,
    0.000421629,
    0.0003229359,
    0.0001227171,
    2.381094e-05,
    2.695886e-06,
    2.59646e-07,
    2.123073e-08,
    1.079546e-08,
    1.12856e-07,
    6.211558e-07,
    2.872562e-06,
    6.333887e-06,
    9.315637e-06,
    1.137065e-05,
    1.053817e-05,
    8.098881e-06,
    5.871851e-06,
    4.150003e-06,
    3.725009e-06,
    4.03559e-06,
    4.838002e-06,
    5.30067e-06,
    5.018552e-06,
    3.969992e-06,
    2.445545e-06,
    1.245181e-06,
    7.274646e-07,
    1.562553e-06,
    1.173506e-05,
    0.0001210634,
    0.0009192479,
    0.004005067,
    0.007662049,
    0.008972842,
    0.008348666,
    0.005280966,
    0.001602309,
    0.0001697977,
    5.614655e-06,
    2.277782e-07,
    1.633239e-08,
    1.671353e-07,
    8.846505e-07,
    3.008807e-06,
    5.774685e-06,
    9.044365e-06,
    1.695952e-05,
    5.395245e-05,
    0.0004674276,
    0.003647272,
    0.01407445,
    0.02212578,
    0.02405059,
    0.02138129,
    0.01105529,
    0.002969473,
    0.0006109172,
    0.0001284909,
    4.287413e-05,
    6.434081e-05,
    0.0004057871,
    0.003417807,
    0.01839131,
    0.05044665,
    0.07906667,
    0.09300126,
    0.08073333,
    0.04907813,
    0.02003682,
    0.002954204,
    0.0004116585,
    8.605347e-05,
    3.501023e-05,
    3.430196e-05,
    4.482274e-05,
    6.64034e-05,
    8.880972e-05,
    9.579727e-05,
    9.635484e-05,
    0.000109571,
    0.0002246443,
    0.001043107,
    0.003942183,
    0.01023829,
    0.02558336,
    0.05764346,
    0.0849723,
    0.08844458,
    0.0743629,
    0.04166672,
    0.01123417,
    0.001350795,
    0.0001499015,
    9.087372e-05,
    9.569589e-05,
    9.679394e-05,
    8.218052e-05,
    4.457802e-05,
    1.90967e-05,
    9.380909e-06,
    1.496886e-05,
    6.305778e-05,
    0.0002519534,
    0.0009169532,
    0.002825604,
    0.004427675,
    0.00455461,
    0.003905652,
    0.001994764,
    0.0003322494,
    1.25855e-05,
    1.293086e-07,
    0.0,
    4.18658e-08,
    1.909929e-06,
    4.827106e-05,
    0.000622345,
    0.004705374,
    0.01662153,
    0.02637092,
    0.02823208,
    0.02439502,
    0.01253848,
    0.002640201,
    0.0001784565,
    3.504514e-06,
    7.120231e-08,
    1.578484e-09,
    2.252382e-08,
    1.752546e-07,
    4.518045e-07,
    7.46019e-07,
    1.058389e-06,
    1.193303e-06,
    1.193284e-06,
    1.217592e-06,
    1.627889e-06,
    4.46123e-06,
    2.252997e-05,
    0.0001258049,
    0.0006314119,
    0.002494806,
    0.005738947,
    0.008322914,
    0.00816872,
    0.006337605,
    0.003076936,
    0.00037984,
    3.457063e-05,
    2.483494e-05,
    7.368694e-05,
    0.0001541749,
    0.000196816,
    0.0001899523,
    0.0001382204,
    5.606466e-05,
    1.006598e-05,
    2.058624e-06,
    2.157779e-06,
    2.547279e-06,
    2.543798e-06,
    2.113099e-06,
    1.22176e-06,
    9.365569e-07,
    5.17795e-06,
    8.400633e-05,
    0.0009874825,
    0.003928127,
    0.006656636,
    0.007821633,
    0.007161266,
    0.004266029,
    0.001529283,
    0.0002726891,
    3.589465e-05,
    5.091006e-06,
    8.109014e-07,
    1.817846e-07,
    9.462546e-08,
    2.749552e-07,
    1.038639e-06,
    1.901799e-06,
    2.358614e-06,
    2.768721e-06,
    2.708189e-06,
    2.628764e-06,
    2.453464e-06,
    1.909047e-06,
    1.237838e-06,
    5.330648e-07,
    6.608948e-07,
    1.986175e-06,
    4.095617e-06,
    5.786404e-06,
    6.163252e-06,
    5.433841e-06,
    3.739269e-06,
    2.291761e-06,
    1.764757e-06,
    1.335649e-06,
    1.050402e-06,
    8.439769e-07,
    6.256671e-07,
    4.322228e-07,
    3.075563e-07,
    2.288334e-07,
    1.773554e-07,
    1.340916e-07,
    8.924109e-08,
    4.839144e-08,
    3.438773e-08,
    8.790803e-08,
    3.134898e-07,
    8.293665e-07,
    1.289578e-06,
    1.519996e-06,
    1.418547e-06,
    1.082456e-06,
    1.235801e-06,
    4.925663e-06,
    5.258834e-05,
    0.0001934036,
    0.0003364893,
    0.0003737202,
    0.0003320858,
    0.0001919185,
    4.80689e-05,
    6.743505e-06,
    8.296922e-07,
    2.032016e-07,
    1.104271e-07,
    8.675053e-08,
    6.623204e-08,
    4.966382e-08,
    1.032765e-07,
    8.61692e-07,
    9.105764e-06,
    8.365418e-05,
    0.0003746902,
    0.0008378697,
    0.001176078,
    0.00116754,
    0.0008901656,
    0.0004285894,
    8.140722e-05,
    1.586722e-05,
    3.448294e-06,
    1.158269e-06,
    5.410264e-07,
    1.703765e-07,
    4.405935e-08,
    6.146447e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    1.43484e-09,
    2.570407e-08,
    6.751287e-07,
    1.773949e-05,
    0.0004823232,
    0.006044322,
    0.01344119,
    0.01562679,
    0.01532337,
    0.009791773,
    0.002383573,
    0.0001633696,
    7.877886e-06,
    7.721434e-07,
    1.058038e-06,
    2.415734e-06,
    4.122168e-06,
    5.449936e-06,
    5.727265e-06,
    5.737957e-06,
    5.739111e-06,
    6.654367e-06,
    7.770046e-06,
    7.593066e-06,
    6.285364e-06,
    4.101077e-06,
    2.089028e-06,
    1.012723e-06,
    8.733887e-07,
    1.081432e-06,
    1.453001e-06,
    1.951592e-06,
    2.501065e-06,
    3.79902e-06,
    1.249665e-05,
    0.0001456034,
    0.003014803,
    0.0312317,
    0.08219218,
    0.1005494,
    0.1007673,
    0.0732655,
    0.02241439,
    0.003785187,
    0.001163174,
    0.002268488,
    0.005876837,
    0.009264157,
    0.01307301,
    0.01320194,
    0.009724578,
    0.00617604,
    0.001883252,
    0.0002449472,
    1.011362e-05,
    2.609597e-07,
    6.082813e-07,
    4.476275e-06,
    1.516193e-05,
    3.266062e-05,
    4.220329e-05,
    4.159696e-05,
    3.150391e-05,
    1.410962e-05,
    4.203155e-06,
    2.029581e-06,
    8.871887e-06,
    2.833998e-05,
    5.057118e-05,
    5.847842e-05,
    5.640945e-05,
    4.149041e-05,
    2.586605e-05,
    3.929684e-05,
    8.318193e-05,
    0.000131052,
    0.0001592034,
    0.0001461633,
    9.922159e-05,
    4.745869e-05,
    1.304984e-05,
    4.298881e-06,
    3.148268e-06,
    3.518774e-06,
    4.600488e-06,
    7.083721e-06,
    1.135087e-05,
    1.879817e-05,
    2.906641e-05,
    3.200342e-05,
    2.788805e-05,
    1.938086e-05,
    7.420584e-06,
    1.373808e-06,
    1.633854e-07,
    5.914109e-09,
    0.0,
    0.0,
    1.571333e-08,
    1.341952e-07,
    4.047653e-07,
    6.55967e-07,
    8.768335e-07,
    9.547387e-07,
    9.514401e-07,
    1.325972e-06,
    1.984273e-06,
    2.975175e-06,
    4.064428e-06,
    5.656489e-06,
    1.184068e-05,
    4.743701e-05,
    0.0002066305,
    0.0006553631,
    0.001160863,
    0.001253223,
    0.001102498,
    0.0006524462,
    0.0001388979,
    9.230811e-06,
    3.320088e-07,
    6.446851e-09,
    4.175931e-09,
    2.119865e-08,
    7.167865e-08,
    2.606657e-07,
    8.052118e-07,
    1.958907e-06,
    4.052238e-06,
    6.95904e-06,
    1.035547e-05,
    1.212261e-05,
    1.101678e-05,
    8.19749e-06,
    4.379218e-06,
    1.540933e-06,
    6.365305e-07,
    5.283642e-07,
    5.123249e-07,
    4.713493e-07,
    3.626803e-07,
    2.166471e-07,
    1.422207e-07,
    2.257622e-07,
    9.481825e-07,
    5.333473e-06,
    2.426798e-05,
    8.313379e-05,
    0.0001859295,
    0.0003632505,
    0.000641599,
    0.0009717738,
    0.001403068,
    0.001622772,
    0.001602569,
    0.001298335,
    0.0008060925,
    0.0004468287,
    0.0002091395,
    0.0001747912,
    0.0001656414,
    0.0001333027,
    9.451201e-05,
    4.427028e-05,
    1.140836e-05,
    1.493725e-06,
    1.382523e-07,
    6.346548e-08,
    1.776522e-06,
    4.234069e-05,
    0.00037289,
    0.001517508,
    0.002996222,
    0.003841658,
    0.003798892,
    0.002746898,
    0.001308433,
    0.0004577758,
    0.0002124407,
    0.0001837855,
    0.000178346,
    0.0001657743,
    0.0001400249,
    8.533718e-05,
    4.653262e-05,
    1.931968e-05,
    4.033026e-06,
    5.387318e-07,
    5.302069e-08,
    3.459409e-08,
    3.14357e-07,
    3.261624e-06,
    3.675914e-05,
    0.0003274401,
    0.001635582,
    0.005622715,
    0.01024184,
    0.01129584,
    0.01010228,
    0.006131056,
    0.001454917,
    0.0001009562,
    2.633153e-06,
    1.08519e-07,
    5.530197e-08,
    7.442943e-07,
    1.973195e-05,
    0.0004920748,
    0.007074287,
    0.02732758,
    0.03399369,
    0.0338463,
    0.02736794,
    0.007103986,
    0.0003195582,
    3.221768e-06,
    1.833581e-07,
    6.076365e-07,
    3.029737e-06,
    8.841104e-06,
    1.612602e-05,
    2.107272e-05,
    2.140632e-05,
    1.765242e-05,
    1.176099e-05,
    7.766614e-06,
    6.186781e-06,
    4.726143e-06,
    3.441145e-06,
    2.047857e-06,
    8.742261e-07,
    2.785416e-07,
    8.573599e-08,
    4.702619e-08,
    1.314592e-07,
    4.939493e-07,
    2.248118e-06,
    6.701283e-06,
    9.913186e-06,
    1.018635e-05,
    8.497797e-06,
    4.040563e-06,
    7.333854e-07,
    1.356135e-07,
    3.791213e-07,
    1.802606e-06,
    4.294557e-06,
    7.893769e-06,
    9.515879e-06,
    8.408519e-06,
    5.97896e-06,
    2.345405e-06,
    4.291681e-07,
    4.840642e-07,
    8.184211e-06,
    0.000331264,
    0.01180883,
    0.1223907,
    0.3225697,
    0.3870723,
    0.3793152,
    0.2702322,
    0.06995181,
    0.00367281,
    0.0001956234,
    0.0001407492,
    0.0001835022,
    0.0001885812,
    0.0001556998,
    8.510313e-05,
    2.709424e-05,
    9.055282e-06,
    4.8248e-06,
    6.852804e-06,
    2.186682e-05,
    7.639602e-05,
    0.0001332652,
    0.0001470318,
    0.0001342568,
    8.136033e-05,
    3.092485e-05,
    9.48031e-05,
    0.00112684,
    0.005798009,
    0.0128177,
    0.01445676,
    0.01354549,
    0.008903936,
    0.001858884,
    0.0001132551,
    3.21257e-06,
    5.888241e-08,
    0.0,
    1.49236e-09,
    6.2366e-09,
    3.738305e-08,
    1.661609e-07,
    4.810693e-07,
    9.746861e-07,
    1.732668e-06,
    3.56368e-06,
    9.250202e-06,
    1.793714e-05,
    2.679499e-05,
    3.410529e-05,
    3.653752e-05,
    4.079198e-05,
    4.05579e-05,
    3.286917e-05,
    2.456105e-05,
    1.1128e-05,
    1.699602e-06,
    1.164721e-07,
    1.619385e-09,
    2.05802e-07,
    1.014691e-05,
    0.0002711378,
    0.001714304,
    0.004008864,
    0.005133994,
    0.005044625,
    0.003628151,
    0.001333121,
    0.0001927688,
    2.274782e-05,
    2.727237e-06,
    2.37364e-06,
    8.27573e-06,
    3.582809e-05,
    7.99565e-05,
    0.0001032134,
    0.0001025871,
    7.580983e-05,
    3.172055e-05,
    8.356273e-06,
    1.61324e-05,
    0.0002003664,
    0.001986398,
    0.005098874,
    0.006528637,
    0.006522393,
    0.00475268,
    0.001643441,
    0.0001847351,
    5.418999e-06,
    1.294242e-07,
    1.660791e-08,
    4.284319e-07,
    4.255135e-06,
    3.338326e-05,
    0.0001339361,
    0.0002428615,
    0.0002984332,
    0.0002842148,
    0.0001861448,
    7.690661e-05,
    1.733176e-05,
    2.51609e-06,
    2.713458e-07,
    1.132828e-08,
    0.0,
    0.0,
    1.847562e-09,
    8.215888e-09,
    3.580464e-08,
    1.181491e-07,
    2.209945e-07,
    2.689968e-07,
    2.48289e-07,
    1.659445e-07,
    6.125154e-08,
    6.880923e-09,
    0.0,
    0.0,
    4.705908e-09,
    9.734973e-08,
    6.190825e-07,
    2.066457e-06,
    4.232514e-06,
    6.352861e-06,
    7.34052e-06,
    6.929903e-06,
    5.484136e-06,
    3.953407e-06,
    3.204972e-06,
    2.909737e-06,
    2.639909e-06,
    2.071554e-06,
    1.339216e-06,
    6.259514e-07,
    3.008126e-07,
    1.346747e-06,
    1.230263e-05,
    5.671153e-05,
    0.0001335461,
    0.0001985172,
    0.0002153968,
    0.0001805144,
    0.0001055364,
    3.978919e-05,
    1.268367e-05,
    7.470495e-06,
    8.31459e-05,
    0.001120121,
    0.003591404,
    0.005512773,
    0.005890153,
    0.004888832,
    0.002422943,
    0.000488098,
    2.928667e-05,
    1.743675e-06,
    2.475712e-07,
    2.47864e-07,
    8.392176e-07,
    3.451936e-06,
    7.947101e-06,
    1.083614e-05,
    1.154491e-05,
    9.549023e-06,
    5.781007e-06,
    6.163925e-06,
    3.018543e-05,
    0.0001721506,
    0.0004899631,
    0.0006954632,
    0.0007002147,
    0.0005602171,
    0.0002420675,
    3.215218e-05,
    1.955934e-06,
    1.447638e-07,
    8.54384e-07,
    6.910662e-06,
    2.980212e-05,
    9.067907e-05,
    0.0001906022,
    0.0002594727,
    0.0003056271,
    0.0002959776,
    0.0002108198,
    0.0001401516,
    7.170333e-05,
    2.057615e-05,
    4.984654e-06,
    8.724481e-07,
    7.211733e-07,
    1.456323e-06,
    1.722468e-06,
    1.629771e-06,
    1.211736e-06,
    3.780759e-07,
    4.456956e-08,
    3.371808e-08,
    7.444293e-07,
    4.97035e-06,
    1.10277e-05,
    1.278618e-05,
    1.221323e-05,
    7.994097e-06,
    1.933751e-06,
    1.560602e-07,
    3.745049e-06,
    0.001454369,
    0.1983159,
    3.52108,
    9.298756,
    10.11839,
    9.964851,
    6.739965,
    0.9044688,
    0.0261156,
    0.000304219,
    3.819906e-06,
    1.146947e-07,
    5.804617e-08,
    5.121992e-07,
    1.027789e-05,
    0.0001118797,
    0.0006204404,
    0.001372932,
    0.001805983,
    0.001875863,
    0.001399087,
    0.0006492147,
    0.0002043439,
    3.232014e-05,
    3.16574e-06,
    2.930187e-07,
    3.736538e-07,
    7.529987e-06,
    0.0001136313,
    0.0007408353,
    0.003859071,
    0.01491944,
    0.03092861,
    0.03655022,
    0.03426662,
    0.02333621,
    0.00719508,
    0.0008477918,
    5.455968e-05,
    4.04854e-06,
    9.918772e-07,
    3.491794e-06,
    1.581311e-05,
    3.758214e-05,
    5.648699e-05,
    6.891005e-05,
    6.780865e-05,
    5.424843e-05,
    4.074282e-05,
    2.907844e-05,
    2.084143e-05,
    1.645011e-05,
    1.482162e-05,
    1.535321e-05,
    1.47283e-05,
    1.133449e-05,
    7.186088e-06,
    2.982649e-06,
    5.395878e-07,
    6.786381e-08,
    4.260492e-08,
    1.036199e-07,
    1.798145e-07,
    2.774055e-07,
    5.239459e-07,
    2.262418e-06,
    2.987826e-05,
    0.0005951549,
    0.009571083,
    0.06475104,
    0.09756238,
    0.0985181,
    0.08977731,
    0.0347744,
    0.001579529,
    1.059554e-05,
    1.691163e-08,
    9.649663e-09,
    4.447856e-06,
    0.0002054068,
    0.001610332,
    0.003023026,
    0.003469279,
    0.003398172,
    0.002023272,
    0.0006107145,
    0.0001562723,
    2.775141e-05,
    5.878787e-06,
    1.1394e-06,
    1.752032e-07,
    4.951054e-08,
    1.268977e-07,
    4.750204e-07,
    9.151712e-07,
    1.058119e-06,
    9.740639e-07,
    6.235703e-07,
    1.813831e-07,
    1.983749e-08,
    8.09634e-08,
    1.21039e-06,
    1.496562e-05,
    0.0001214955,
    0.0004572155,
    0.0008551651,
    0.001059453,
    0.0009769632,
    0.0006430349,
    0.0002438947,
    2.509554e-05,
    1.463983e-06,
    3.35309e-07,
    5.318919e-07,
    1.974879e-06,
    7.794116e-06,
    2.616443e-05,
    5.870305e-05,
    8.406794e-05,
    9.006885e-05,
    7.47389e-05,
    4.238381e-05,
    1.552953e-05,
    3.665347e-06,
    6.263881e-07,
    4.492196e-07,
    2.639579e-06,
    1.228845e-05,
    2.704908e-05,
    3.228569e-05,
    3.125967e-05,
    2.173566e-05,
    6.936037e-06,
    1.421768e-06,
    4.0034e-07,
    2.668289e-06,
    2.999947e-05,
    0.0002713801,
    0.001753425,
    0.00680824,
    0.01384049,
    0.01729859,
    0.01653062,
    0.01159399,
    0.004513885,
    0.0007821617,
    8.496013e-05,
    4.992679e-06,
    2.52226e-07,
    9.464207e-09,
    2.267154e-09,
    4.336e-08,
    2.605252e-07,
    7.300695e-07,
    1.644089e-06,
    4.255543e-06,
    1.479945e-05,
    8.713507e-05,
    0.0004334065,
    0.001339615,
    0.002107888,
    0.002200328,
    0.001868767,
    0.0009615175,
    0.0001799547,
    1.394843e-05,
    1.024918e-06,
    1.079936e-06,
    1.565971e-05,
    0.0002175888,
    0.001150176,
    0.004314807,
    0.007831725,
    0.009749036,
    0.009339532,
    0.006255339,
    0.002729953,
    0.0005883772,
    6.858939e-05,
    1.120424e-05,
    7.444438e-05,
    0.000851315,
    0.004280941,
    0.009603903,
    0.01514457,
    0.01691542,
    0.01462036,
    0.009672855,
    0.004228307,
    0.001876034,
    0.001243531,
    0.002561461,
    0.00469251,
    0.005795494,
    0.005601134,
    0.003954928,
    0.001649818,
    0.0003309793,
    3.073721e-05,
    3.220819e-06,
    1.189551e-06,
    9.836533e-06,
    8.761606e-05,
    0.0003042807,
    0.0004285806,
    0.0004460659,
    0.0003725703,
    0.0001570182,
    3.138135e-05,
    4.862293e-06,
    1.194894e-06,
    8.862451e-07,
    9.590646e-07,
    9.702126e-07,
    8.453371e-07,
    7.018695e-07,
    1.129322e-06,
    2.869638e-06,
    9.22299e-06,
    2.447453e-05,
    4.441908e-05,
    5.760191e-05,
    5.653307e-05,
    4.185128e-05,
    2.126829e-05,
    6.179596e-06,
    7.983013e-07,
    5.806619e-08,
    0.0,
    0.0,
    0.0,
    5.766771e-09,
    3.376042e-08,
    2.322604e-07,
    1.824002e-06,
    1.681361e-05,
    0.0001894509,
    0.001115512,
    0.002553884,
    0.003646993,
    0.003771564,
    0.002921037,
    0.001506596,
    0.0004002822,
    0.0001051242,
    3.390068e-05,
    1.014668e-05,
    3.454356e-06,
    9.45771e-07,
    4.267291e-07,
    2.479908e-07,
    1.486927e-07,
    7.569602e-08,
    4.858604e-08,
    1.488553e-06,
    9.46677e-05,
    0.003599463,
    0.02606914,
    0.04657447,
    0.05057466,
    0.04730675,
    0.02499994,
    0.004331418,
    0.0001676907,
    3.028021e-06,
    5.706406e-08,
    0.0,
    9.585049e-09,
    3.075287e-07,
    1.209087e-05,
    0.0003439246,
    0.003188006,
    0.01061521,
    0.01488056,
    0.01527976,
    0.01249713,
    0.00509586,
    0.0007719285,
    2.900687e-05,
    5.211573e-07,
    5.585554e-09,
    0.0,
    0.0,
    0.0,
    1.612326e-09,
    7.107579e-08,
    2.196913e-06,
    7.538582e-05,
    0.00170089,
    0.01672852,
    0.0519802,
    0.06942548,
    0.07141923,
    0.05717558,
    0.02195042,
    0.00421353,
    0.0005861656,
    9.828995e-05,
    2.481418e-05,
    7.969669e-06,
    3.641777e-06,
    3.59563e-06,
    1.094152e-05,
    6.073711e-05,
    0.0003410218,
    0.001072096,
    0.001603875,
    0.001792551,
    0.001611674,
    0.0009322505,
    0.0004191209,
    0.0001887999,
    9.070296e-05,
    3.814494e-05,
    9.89067e-06,
    7.563614e-07,
    1.109065e-08,
    0.0,
    5.390906e-08,
    3.543653e-06,
    3.36845e-05,
    7.82614e-05,
    9.438258e-05,
    9.50995e-05,
    6.834475e-05,
    2.918115e-05,
    3.041015e-05,
    5.386813e-05,
    7.337134e-05,
    8.238504e-05,
    7.452436e-05,
    5.663819e-05,
    4.24017e-05,
    3.492629e-05,
    3.049501e-05,
    2.417987e-05,
    1.989161e-05,
    1.901596e-05,
    2.220229e-05,
    2.364959e-05,
    2.076909e-05,
    1.496542e-05,
    6.651121e-06,
    1.762088e-06,
    3.522156e-07,
    7.406889e-08,
    2.01936e-07,
    2.882432e-06,
    3.397322e-05,
    0.0006630517,
    0.01209704,
    0.08524859,
    0.2794431,
    0.4737207,
    0.5372003,
    0.4843493,
    0.3035148,
    0.1209806,
    0.06039223,
    0.0471312,
    0.03600434,
    0.02272219,
    0.007096619,
    0.0007692271,
    7.445381e-05,
    1.190442e-05,
    8.043361e-06,
    9.196349e-06,
    1.093152e-05,
    1.232831e-05,
    1.216214e-05,
    1.062214e-05,
    1.018548e-05,
    1.661716e-05,
    5.953003e-05,
    0.0002020533,
    0.0003735361,
    0.0004557567,
    0.0004330618,
    0.0002925028,
    0.000118665,
    2.654984e-05,
    4.362653e-06,
    1.868197e-06,
    3.00679e-06,
    6.858982e-06,
    1.154742e-05,
    1.518388e-05,
    1.796397e-05,
    1.90377e-05,
    2.33344e-05,
    4.378388e-05,
    0.0001260808,
    0.000333255,
    0.0004612394,
    0.0004834868,
    0.000403995,
    0.0001933173,
    5.874755e-05,
    4.702355e-05,
    0.00104368,
    0.01392636,
    0.0418611,
    0.0562223,
    0.05955703,
    0.04764433,
    0.02010349,
    0.005674469,
    0.001336717,
    0.0005561422,
    0.000238373,
    0.0001237714,
    6.537028e-05,
    2.484917e-05,
    9.366787e-06,
    6.980393e-06,
    2.073616e-05,
    0.0002478357,
    0.004681993,
    0.04962206,
    0.1417035,
    0.1500576,
    0.1458691,
    0.1013187,
    0.008877742,
    0.0001293825,
    2.28326e-06,
    2.910724e-06,
    2.805972e-05,
    0.0001271722,
    0.0003197787,
    0.0004595813,
    0.000473357,
    0.000385448,
    0.000194852,
    5.246295e-05,
    1.361774e-05,
    3.014007e-06,
    1.371909e-06,
    3.440905e-06,
    1.36448e-05,
    3.065824e-05,
    4.431731e-05,
    4.857941e-05,
    4.148149e-05,
    2.60848e-05,
    1.304316e-05,
    7.09128e-06,
    4.530996e-06,
    3.476347e-06,
    2.824342e-06,
    2.081727e-06,
    1.363099e-06,
    6.341752e-07,
    1.786209e-07,
    6.019924e-08,
    1.237676e-07,
    3.795792e-07,
    1.243141e-06,
    4.075859e-06,
    3.253933e-05,
    0.0002436379,
    0.001377183,
    0.004534384,
    0.007467379,
    0.009517928,
    0.009099407,
    0.006077218,
    0.003116218,
    0.0008427144,
    0.0001247008,
    6.257518e-06,
    2.694456e-07,
    5.71194e-07,
    0.0001142574,
    0.01269408,
    0.2806984,
    0.9735433,
    1.232048,
    1.280936,
    1.033132,
    0.3481728,
    0.08607312,
    0.02686908,
    0.01855935,
    0.01461916,
    0.0103788,
    0.005962527,
    0.001860975,
    0.0004353341,
    0.0004193344,
    0.0008687141,
    0.001859856,
    0.005643159,
    0.02014096,
    0.04945594,
    0.06187849,
    0.05973407,
    0.04517321,
    0.01525887,
    0.001684944,
    6.407934e-05,
    3.401946e-06,
    1.345544e-06,
    8.585867e-06,
    0.0001378637,
    0.001650199,
    0.006052299,
    0.009324229,
    0.009817425,
    0.008441136,
    0.004058872,
    0.0007683356,
    0.0001384778,
    1.639679e-05,
    2.178543e-06,
    7.527178e-07,
    2.767361e-06,
    1.358827e-05,
    3.206911e-05,
    3.893238e-05,
    3.755485e-05,
    2.671447e-05,
    8.149442e-06,
    9.600642e-07,
    3.171325e-07,
    1.779388e-05,
    0.0005889823,
    0.008842191,
    0.03962429,
    0.06333618,
    0.0749543,
    0.07083494,
    0.04144354,
    0.01806695,
    0.006071118,
    0.002169359,
    0.001072602,
    0.000568388,
    0.0002318747,
    6.462667e-05,
    7.793507e-06,
    4.461686e-07,
    2.691532e-08,
    3.179046e-08,
    6.667929e-07,
    1.200874e-05,
    0.0001558196,
    0.001022361,
    0.001993623,
    0.002247577,
    0.002176469,
    0.001333356,
    0.000367293,
    0.0001056526,
    3.561814e-05,
    1.609977e-05,
    7.869642e-06,
    2.506996e-06,
    6.747767e-07,
    2.545396e-07,
    1.647347e-07,
    2.85627e-07,
    7.613829e-07,
    3.09373e-06,
    1.420206e-05,
    5.907904e-05,
    0.000291428,
    0.001829911,
    0.01064653,
    0.03938674,
    0.06751165,
    0.07297135,
    0.06495579,
    0.03641127,
    0.007788459,
    0.000679136,
    5.253928e-05,
    6.846911e-06,
    2.476979e-06,
    1.820597e-06,
    1.450542e-06,
    1.062755e-06,
    7.079242e-07,
    8.281403e-07,
    6.690381e-06,
    8.046435e-05,
    0.0007334308,
    0.005896905,
    0.02477851,
    0.07395663,
    0.1485095,
    0.1953539,
    0.1983628,
    0.154135,
    0.07932741,
    0.02687974,
    0.005010616,
    0.000378645,
    1.427077e-05,
    2.036342e-07,
    0.0,
    0.0,
    0.0,
    3.956056e-09,
    7.826569e-08,
    5.214386e-07,
    4.311035e-06,
    5.957955e-05,
    0.001353898,
    0.02445026,
    0.1200283,
    0.1866684,
    0.203302,
    0.1851982,
    0.09242498,
    0.02792816,
    0.01149076,
    0.007223975,
    0.004943953,
    0.00236565,
    0.0003857341,
    2.688307e-05,
    5.604604e-07,
    4.633019e-09,
    0.0,
    1.421559e-07,
    5.503793e-06,
    6.269763e-05,
    0.0001854886,
    0.0002341331,
    0.000242219,
    0.0001891961,
    6.789043e-05,
    2.019958e-05,
    9.170911e-06,
    1.18648e-05,
    5.046375e-05,
    0.0004334845,
    0.006161378,
    0.1353506,
    2.17896,
    11.48856,
    17.75285,
    18.06835,
    16.1914,
    6.933732,
    0.4692342,
    0.00497806,
    5.360577e-05,
    1.409194e-06,
    9.582128e-07,
    4.247996e-06,
    1.188792e-05,
    1.784866e-05,
    1.947118e-05,
    1.683193e-05,
    1.015138e-05,
    7.104883e-06,
    1.720705e-05,
    3.739503e-05,
    4.436368e-05,
    4.204105e-05,
    2.963895e-05,
    8.718313e-06,
    7.382185e-07,
    2.599714e-08,
    0.0,
    5.702461e-09,
    2.884325e-07,
    8.510775e-06,
    0.0001554503,
    0.00185297,
    0.005349268,
    0.006726214,
    0.006714018,
    0.00503869,
    0.00153955,
    0.000145427,
    1.194862e-05,
    9.993904e-06,
    0.0001340106,
    0.001890799,
    0.01174688,
    0.02483789,
    0.03337263,
    0.03352144,
    0.02391757,
    0.01085239,
    0.002105176,
    0.0001695641,
    6.746795e-06,
    2.918807e-07,
    8.86114e-06,
    0.001035743,
    0.07787849,
    1.345384,
    4.006392,
    5.174762,
    5.27398,
    4.075149,
    1.409491,
    0.1983959,
    0.01178906,
    0.0005658217,
    3.479095e-05,
    3.965368e-06,
    3.777086e-06,
    1.112897e-05,
    3.4133e-05,
    8.325179e-05,
    0.0001242306,
    0.0001360607,
    0.0001198058,
    7.323759e-05,
    3.173865e-05,
    1.302217e-05,
    6.663821e-06,
    3.894676e-06,
    2.637405e-06,
    1.707751e-06,
    1.093615e-06,
    8.565921e-07,
    6.97603e-07,
    8.221244e-07,
    1.047403e-06,
    1.248415e-06,
    1.248831e-06,
    9.950738e-07,
    6.585073e-07,
    3.431136e-07,
    4.093299e-07,
    2.435875e-06,
    2.169464e-05,
    0.0001496783,
    0.0004171648,
    0.0006111552,
    0.0006844674,
    0.0005884825,
    0.0003312016,
    0.0001368727,
    4.453889e-05,
    1.315921e-05,
    3.243821e-06,
    9.405802e-07,
    2.443573e-07,
    5.502655e-08,
    1.487771e-08,
    1.111086e-07,
    1.796032e-06,
    2.257569e-05,
    0.0001849439,
    0.0008740346,
    0.004068176,
    0.01433919,
    0.02366681,
    0.02468663,
    0.02158994,
    0.01132199,
    0.00175744,
    4.250335e-05,
    6.854927e-07,
    1.022362e-08,
    0.0,
    0.0,
    0.0,
    1.681562e-07,
    1.639489e-06,
    5.179674e-06,
    8.732774e-06,
    1.208482e-05,
    1.53299e-05,
    1.996087e-05,
    2.699825e-05,
    2.818098e-05,
    2.413079e-05,
    1.602699e-05,
    5.442372e-06,
    7.38827e-07,
    8.932593e-08,
    3.524906e-08,
    3.979635e-08,
    4.466877e-08,
    5.716287e-08,
    1.238742e-07,
    7.714058e-07,
    7.878493e-06,
    5.325872e-05,
    0.000177273,
    0.0002479803,
    0.0002556711,
    0.0002122577,
    8.843808e-05,
    1.684737e-05,
    1.990145e-06,
    2.076366e-07,
    3.677375e-08,
    0.0
  ],
  "protein_score": 0.131296855468872,
  "viterbi": [
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " 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",
    " 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",
    " 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",
    " 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",
    " 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",
    " 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"
  ],
  "complexity": [
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    11.0,
    11.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    11.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    11.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    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,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    11.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    5.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    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,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    5.0,
    4.0,
    5.0,
    4.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    11.0,
    11.0,
    11.0,
    11.0,
    11.0,
    11.0,
    11.0,
    11.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    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,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    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,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    11.0,
    11.0,
    10.0,
    10.0,
    10.0,
    11.0,
    11.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    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,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    5.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    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,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    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,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    11.0,
    11.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    10.0,
    11.0,
    11.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    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,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    6.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    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,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    4.0,
    4.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    11.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    10.0,
    11.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    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,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    11.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    11.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    5.0,
    4.0,
    5.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    6.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    5.0
  ],
  "arg": [
    0.0,
    0.0,
    1.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    3.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    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,
    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,
    2.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    2.0,
    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,
    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,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    4.0,
    3.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    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,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    3.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    4.0,
    3.0,
    3.0,
    3.0,
    2.0,
    3.0,
    2.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    3.0,
    4.0,
    4.0,
    5.0,
    5.0,
    4.0,
    4.0,
    4.0,
    3.0,
    3.0,
    3.0,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    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,
    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,
    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,
    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,
    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,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    3.0,
    3.0,
    3.0,
    3.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    1.0,
    1.0,
    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,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    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,
    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,
    2.0,
    2.0,
    2.0,
    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,
    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,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    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,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    3.0,
    3.0,
    4.0,
    5.0,
    4.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0
  ],
  "tyr": [
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    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,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    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,
    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,
    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,
    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,
    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,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    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,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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
  ],
  "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
  ],
  "disorder": [
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    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,
    3.0,
    4.0,
    4.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    4.0,
    4.0,
    4.0,
    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,
    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,
    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,
    3.0,
    4.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    1.0,
    1.0,
    2.0,
    1.0,
    1.0,
    1.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    2.0,
    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,
    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,
    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,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0
  ],
  "disoMine": [
    0.0599956288933754,
    0.09914729744195938,
    0.10663019120693207,
    0.11964279413223267,
    0.13054482638835907,
    0.11831196397542953,
    0.10770732909440994,
    0.10155356675386429,
    0.09569109231233597,
    0.09332703053951263,
    0.09056799858808517,
    0.0966324657201767,
    0.09353185445070267,
    0.08508458733558655,
    0.07436458766460419,
    0.07396342605352402,
    0.06741093099117279,
    0.05944658815860748,
    0.058263149112463,
    0.06132977455854416,
    0.0597190223634243,
    0.06098376587033272,
    0.06634446233510971,
    0.07084530591964722,
    0.0703953355550766,
    0.06326796859502792,
    0.05334658920764923,
    0.048401620239019394,
    0.04635132476687431,
    0.04550880193710327,
    0.04442775994539261,
    0.05042639002203941,
    0.05286340415477753,
    0.0574067123234272,
    0.057385507971048355,
    0.060903582721948624,
    0.06182236224412918,
    0.060428716242313385,
    0.059517040848731995,
    0.06394415348768234,
    0.07572489231824875,
    0.07173826545476913,
    0.06042386218905449,
    0.05052207037806511,
    0.03977707773447037,
    0.03298155218362808,
    0.029599666595458984,
    0.0263267420232296,
    0.02416413091123104,
    0.02368861623108387,
    0.024365469813346863,
    0.02576124109327793,
    0.023825839161872864,
    0.02267691306769848,
    0.022656245157122612,
    0.021951615810394287,
    0.01865376904606819,
    0.017277216538786888,
    0.015966365113854408,
    0.014942502602934837,
    0.014253612607717514,
    0.014177976176142693,
    0.014408815652132034,
    0.0156304519623518,
    0.01738940365612507,
    0.01773139089345932,
    0.01889551430940628,
    0.018717046827077866,
    0.018187372013926506,
    0.01725185476243496,
    0.017229869961738586,
    0.016693303361535072,
    0.01594570092856884,
    0.017913032323122025,
    0.018647538498044014,
    0.019424693658947945,
    0.020477816462516785,
    0.021768316626548767,
    0.021568918600678444,
    0.02055981010198593,
    0.020384902134537697,
    0.02210363931953907,
    0.022364608943462372,
    0.022600695490837097,
    0.022754918783903122,
    0.02225576341152191,
    0.02210773155093193,
    0.02496807649731636,
    0.0257495678961277,
    0.024289637804031372,
    0.024019543081521988,
    0.02294498309493065,
    0.023288710042834282,
    0.02313082292675972,
    0.02194923162460327,
    0.021998748183250427,
    0.02361910231411457,
    0.026345908641815186,
    0.02949950285255909,
    0.029164038598537445,
    0.027508290484547615,
    0.025274012237787247,
    0.02605486288666725,
    0.02494685724377632,
    0.02534753456711769,
    0.026451189070940018,
    0.02604960836470127,
    0.026339419186115265,
    0.02766392007470131,
    0.03159251809120178,
    0.03644421324133873,
    0.03954128921031952,
    0.03913744166493416,
    0.038030728697776794,
    0.037681881338357925,
    0.035249654203653336,
    0.03435680642724037,
    0.03282948210835457,
    0.03319131210446358,
    0.033517882227897644,
    0.02897746115922928,
    0.026560619473457336,
    0.025518273934721947,
    0.02417117729783058,
    0.02329663187265396,
    0.02337399311363697,
    0.021807119250297546,
    0.021653782576322556,
    0.02260698564350605,
    0.021804532036185265,
    0.021014610305428505,
    0.02079283632338047,
    0.021993368864059448,
    0.026664502918720245,
    0.03281698003411293,
    0.036149173974990845,
    0.040629711002111435,
    0.04569611698389053,
    0.05678053945302963,
    0.06263694167137146,
    0.06554039567708969,
    0.06476833671331406,
    0.0636049136519432,
    0.06334919482469559,
    0.060648221522569656,
    0.05587399750947952,
    0.05363212153315544,
    0.05218968167901039,
    0.04755754768848419,
    0.042309366166591644,
    0.04161171242594719,
    0.04164725914597511,
    0.04463034123182297,
    0.04722141847014427,
    0.04857693985104561,
    0.04823646321892738,
    0.040842454880476,
    0.03740556910634041,
    0.03584001585841179,
    0.03374239057302475,
    0.03170093148946762,
    0.030081264674663544,
    0.025042042136192322,
    0.021031558513641357,
    0.017819572240114212,
    0.017568305134773254,
    0.018945220857858658,
    0.019310690462589264,
    0.019117413088679314,
    0.017793627455830574,
    0.01855238527059555,
    0.01704792119562626,
    0.015283345244824886,
    0.014407414011657238,
    0.013980968855321407,
    0.013314219191670418,
    0.013222659938037395,
    0.012209772132337093,
    0.010858769528567791,
    0.009871840476989746,
    0.009280724450945854,
    0.009015140123665333,
    0.009046128951013088,
    0.009473891928792,
    0.010159285739064217,
    0.010342247784137726,
    0.010597693733870983,
    0.010587768629193306,
    0.010887251235544682,
    0.011102751828730106,
    0.01173457596451044,
    0.01245124265551567,
    0.013238186948001385,
    0.013681348413228989,
    0.013405797071754932,
    0.013457388617098331,
    0.01230111625045538,
    0.012390995398163795,
    0.011866089887917042,
    0.011318475939333439,
    0.011689681559801102,
    0.012216852977871895,
    0.013234398327767849,
    0.015001566149294376,
    0.015794195234775543,
    0.01821250654757023,
    0.019635558128356934,
    0.02207949385046959,
    0.022935690358281136,
    0.023401707410812378,
    0.021848276257514954,
    0.019353387877345085,
    0.017415961250662804,
    0.01727796159684658,
    0.017251206561923027,
    0.017534660175442696,
    0.01835835538804531,
    0.019062384963035583,
    0.017814723774790764,
    0.016465913504362106,
    0.01529734581708908,
    0.01509944535791874,
    0.015028350986540318,
    0.014895151369273663,
    0.015093794092535973,
    0.01564694009721279,
    0.015103069134056568,
    0.014096525497734547,
    0.013716506771743298,
    0.013372991234064102,
    0.0124775730073452,
    0.01237428281456232,
    0.012331964448094368,
    0.012263452634215355,
    0.012344829738140106,
    0.013089830055832863,
    0.01455575693398714,
    0.01558505930006504,
    0.017202310264110565,
    0.019627830013632774,
    0.02244723215699196,
    0.025274833664298058,
    0.02683951146900654,
    0.027913128957152367,
    0.02660013921558857,
    0.025365350767970085,
    0.023375539109110832,
    0.021687263622879982,
    0.02138577029109001,
    0.020094159990549088,
    0.018474873155355453,
    0.018946418538689613,
    0.01841387338936329,
    0.017905836924910545,
    0.016764609143137932,
    0.016008147969841957,
    0.016057012602686882,
    0.016645953059196472,
    0.01553906686604023,
    0.01476140134036541,
    0.01531142182648182,
    0.015932433307170868,
    0.01724967174232006,
    0.01981413923203945,
    0.02173878438770771,
    0.0225511584430933,
    0.019852329045534134,
    0.016788527369499207,
    0.015236439183354378,
    0.01447715237736702,
    0.015459495596587658,
    0.016360290348529816,
    0.018279431387782097,
    0.016343653202056885,
    0.015444356016814709,
    0.015834642574191093,
    0.016396241262555122,
    0.01614381931722164,
    0.01574970781803131,
    0.014957999810576439,
    0.014708981849253178,
    0.014865840785205364,
    0.015997035428881645,
    0.01750464364886284,
    0.01936309225857258,
    0.021498434245586395,
    0.024567922577261925,
    0.02631433866918087,
    0.028589367866516113,
    0.028709543868899345,
    0.02754281833767891,
    0.026718661189079285,
    0.02539345808327198,
    0.023854734376072884,
    0.021488692611455917,
    0.018110210075974464,
    0.015020080842077732,
    0.014033944346010685,
    0.013085100799798965,
    0.012734081596136093,
    0.01287552434951067,
    0.012761025689542294,
    0.012901841662824154,
    0.01299598254263401,
    0.013321643695235252,
    0.01333713997155428,
    0.01265379786491394,
    0.012684676796197891,
    0.012860199436545372,
    0.013324815779924393,
    0.013346328400075436,
    0.014147298410534859,
    0.015758972615003586,
    0.01656852290034294,
    0.015994656831026077,
    0.015292159281671047,
    0.014596152119338512,
    0.014561858028173447,
    0.015173315070569515,
    0.0138288214802742,
    0.012900309637188911,
    0.011711726896464825,
    0.01078877504914999,
    0.010461787693202496,
    0.0104634715244174,
    0.011160425841808319,
    0.011833231896162033,
    0.012771543115377426,
    0.01364385336637497,
    0.01515930611640215,
    0.016350746154785156,
    0.014288325794041157,
    0.013269778341054916,
    0.012606126256287098,
    0.01167341973632574,
    0.011527318507432938,
    0.011600686237215996,
    0.011410757899284363,
    0.0114192059263587,
    0.011331293731927872,
    0.011680029332637787,
    0.01338211726397276,
    0.015118397772312164,
    0.01831076666712761,
    0.02080768160521984,
    0.02574184350669384,
    0.027068568393588066,
    0.02855793945491314,
    0.027798226103186607,
    0.02854817919433117,
    0.028085816651582718,
    0.030179208144545555,
    0.032941561192274094,
    0.037323247641325,
    0.03620403632521629,
    0.03432786837220192,
    0.03319383040070534,
    0.033793866634368896,
    0.03174228221178055,
    0.028889695182442665,
    0.0285013597458601,
    0.027364062145352364,
    0.029131794348359108,
    0.029804246500134468,
    0.030398089438676834,
    0.03225131332874298,
    0.03926641494035721,
    0.043036095798015594,
    0.04628917574882507,
    0.047208696603775024,
    0.04530354589223862,
    0.04778800532221794,
    0.04991161823272705,
    0.05179690942168236,
    0.05152157321572304,
    0.04908336326479912,
    0.04655922204256058,
    0.047128479927778244,
    0.05249656364321709,
    0.05627557262778282,
    0.05779976770281792,
    0.05569665506482124,
    0.053092166781425476,
    0.047843076288700104,
    0.04156343638896942,
    0.037864405661821365,
    0.03470270335674286,
    0.03357286378741264,
    0.032468680292367935,
    0.03102446347475052,
    0.02899814024567604,
    0.02447541244328022,
    0.025886349380016327,
    0.02268850989639759,
    0.022200385108590126,
    0.02166042849421501,
    0.021939918398857117,
    0.02321477420628071,
    0.021184956654906273,
    0.02004673331975937,
    0.018327685073018074,
    0.01700732111930847,
    0.016840176656842232,
    0.01646381989121437,
    0.01622798852622509,
    0.01682470180094242,
    0.015934690833091736,
    0.01502977591007948,
    0.015423255041241646,
    0.016489559784531593,
    0.017284270375967026,
    0.017341146245598793,
    0.01812324859201908,
    0.01874718815088272,
    0.017991216853260994,
    0.018199527636170387,
    0.017924772575497627,
    0.016477709636092186,
    0.015253470279276371,
    0.014860332943499088,
    0.01422902662307024,
    0.013435748405754566,
    0.012962836772203445,
    0.012722174637019634,
    0.012485271319746971,
    0.012835834175348282,
    0.01232815533876419,
    0.011651473119854927,
    0.011075669899582863,
    0.010363886132836342,
    0.010516292415559292,
    0.012203234247863293,
    0.015043187886476517,
    0.0191617701202631,
    0.01925547607243061,
    0.019325189292430878,
    0.020918818190693855,
    0.02556494064629078,
    0.029182642698287964,
    0.02947320230305195,
    0.026937158778309822,
    0.025789279490709305,
    0.024967456236481667,
    0.025866558775305748,
    0.025698767974972725,
    0.024340584874153137,
    0.021876832470297813,
    0.021077677607536316,
    0.019196107983589172,
    0.016680987551808357,
    0.014792307280004025,
    0.015240482054650784,
    0.01492092851549387,
    0.015706053003668785,
    0.01510707102715969,
    0.014336349442601204,
    0.013982567004859447,
    0.013595003634691238,
    0.013400677591562271,
    0.01409363653510809,
    0.014333648607134819,
    0.013470036908984184,
    0.013808481395244598,
    0.013682178221642971,
    0.013410111889243126,
    0.013563846237957478,
    0.012976577505469322,
    0.012053064070641994,
    0.010961799882352352,
    0.010878237895667553,
    0.01126305665820837,
    0.011219554580748081,
    0.010735567659139633,
    0.01051301322877407,
    0.010421386919915676,
    0.010660363361239433,
    0.010860602371394634,
    0.01040490623563528,
    0.00967416726052761,
    0.009395097382366657,
    0.009076070040464401,
    0.009010149165987968,
    0.009500352665781975,
    0.01021864265203476,
    0.01047191210091114,
    0.010827826336026192,
    0.010774108581244946,
    0.010312479920685291,
    0.010739529505372047,
    0.011043163016438484,
    0.01065360102802515,
    0.011431572027504444,
    0.011708172969520092,
    0.011945745907723904,
    0.012112008407711983,
    0.012596432119607925,
    0.013530926778912544,
    0.01356660295277834,
    0.01418055035173893,
    0.01421100553125143,
    0.013405797071754932,
    0.01295090839266777,
    0.012580345384776592,
    0.012006722390651703,
    0.011418581008911133,
    0.010962198488414288,
    0.010839845053851604,
    0.010769900865852833,
    0.010367491282522678,
    0.010587308555841446,
    0.010662435553967953,
    0.010822772048413754,
    0.010560579597949982,
    0.010532544925808907,
    0.010966251604259014,
    0.010807443410158157,
    0.010587433353066444,
    0.010507502593100071,
    0.01137263048440218,
    0.01256790105253458,
    0.01416088454425335,
    0.017294866964221,
    0.019145797938108444,
    0.020647665485739708,
    0.020894939079880714,
    0.021228523924946785,
    0.019269494339823723,
    0.016697842627763748,
    0.015333148650825024,
    0.012917846441268921,
    0.011731348000466824,
    0.01106041856110096,
    0.010324624367058277,
    0.009689286351203918,
    0.009186048060655594,
    0.00932192150503397,
    0.0094086779281497,
    0.009039899334311485,
    0.009838013909757137,
    0.010142670013010502,
    0.010946689173579216,
    0.011430289596319199,
    0.012638764455914497,
    0.013319393619894981,
    0.013543909415602684,
    0.012617889791727066,
    0.011933483183383942,
    0.01132841594517231,
    0.011468028649687767,
    0.01129839289933443,
    0.011915173381567001,
    0.012940076179802418,
    0.013249439187347889,
    0.013410604558885098,
    0.013560510240495205,
    0.01361608225852251,
    0.01358298771083355,
    0.013610166497528553,
    0.013535790145397186,
    0.013159999623894691,
    0.012993188574910164,
    0.013461663387715816,
    0.013417867012321949,
    0.013381336815655231,
    0.013258283026516438,
    0.011935912072658539,
    0.01146040391176939,
    0.011105530895292759,
    0.010331965051591396,
    0.01102658361196518,
    0.01150500401854515,
    0.011695478111505508,
    0.012672828510403633,
    0.012874627485871315,
    0.013461663387715816,
    0.013080845586955547,
    0.01550283282995224,
    0.01731550507247448,
    0.018454864621162415,
    0.018542351201176643,
    0.018739383667707443,
    0.01894419454038143,
    0.021077558398246765,
    0.020557938143610954,
    0.020336376503109932,
    0.01857513003051281,
    0.017600134015083313,
    0.017608249559998512,
    0.01742459647357464,
    0.015390475280582905,
    0.013894464820623398,
    0.013114647939801216,
    0.012805887497961521,
    0.012611504644155502,
    0.012307444587349892,
    0.01292760856449604,
    0.012572547420859337,
    0.013187671080231667,
    0.013908728025853634,
    0.016109909862279892,
    0.0170049536973238,
    0.017889410257339478,
    0.018544528633356094,
    0.018061181530356407,
    0.01849007047712803,
    0.018175693228840828,
    0.019460437819361687,
    0.021731561049818993,
    0.025230757892131805,
    0.027682935819029808,
    0.02990577183663845,
    0.03352074697613716,
    0.0373019240796566,
    0.04191949963569641,
    0.045425936579704285,
    0.04519471153616905,
    0.044584523886442184,
    0.04396707937121391,
    0.042423784732818604,
    0.03705808147788048,
    0.032835911959409714,
    0.03380313888192177,
    0.03362897410988808,
    0.03230539336800575,
    0.030653370544314384,
    0.029964936897158623,
    0.02880503609776497,
    0.029175279662013054,
    0.030632153153419495,
    0.03842564672231674,
    0.045960333198308945,
    0.05118813365697861,
    0.053401388227939606,
    0.04993095248937607,
    0.04679427668452263,
    0.04669046029448509,
    0.047040969133377075,
    0.043964602053165436,
    0.039285946637392044,
    0.03525984659790993,
    0.033246491104364395,
    0.03348091244697571,
    0.03216138482093811,
    0.02963564544916153,
    0.02516081929206848,
    0.022124670445919037,
    0.020002370700240135,
    0.020221082493662834,
    0.019685370847582817,
    0.018233656883239746,
    0.018367957323789597,
    0.018118564039468765,
    0.019321249797940254,
    0.020357757806777954,
    0.021001268178224564,
    0.020927203819155693,
    0.02252589352428913,
    0.02420838177204132,
    0.02524159848690033,
    0.02525411918759346,
    0.025597192347049713,
    0.029316043481230736,
    0.027298398315906525,
    0.028930755332112312,
    0.02941340208053589,
    0.030152222141623497,
    0.03400728106498718,
    0.03621138259768486,
    0.04065198451280594,
    0.04482073709368706,
    0.044168852269649506,
    0.039471082389354706,
    0.03596118837594986,
    0.03366835042834282,
    0.030695494264364243,
    0.02729145437479019,
    0.027463069185614586,
    0.026433272287249565,
    0.025366107001900673,
    0.02383435145020485,
    0.025544093921780586,
    0.02686220593750477,
    0.027652544900774956,
    0.02614220604300499,
    0.026700204238295555,
    0.027347765862941742,
    0.029147909954190254,
    0.029532723128795624,
    0.029091868549585342,
    0.027538025751709938,
    0.028694311156868935,
    0.028930291533470154,
    0.0292546097189188,
    0.023700116202235222,
    0.021233411505818367,
    0.01988164335489273,
    0.01908385008573532,
    0.018466252833604813,
    0.018451247364282608,
    0.017682870849967003,
    0.016632938757538795,
    0.01556308288127184,
    0.015571282245218754,
    0.014744800515472889,
    0.014402566477656364,
    0.013768577948212624,
    0.013840238563716412,
    0.013926029205322266,
    0.014015033841133118,
    0.01447790116071701,
    0.01454481016844511,
    0.015254608355462551,
    0.01654772087931633,
    0.01788868010044098,
    0.018818873912096024,
    0.019414003938436508,
    0.020250950008630753,
    0.022499823942780495,
    0.02578769624233246,
    0.0293491892516613,
    0.03272683545947075,
    0.03556639701128006,
    0.041871361434459686,
    0.04930274561047554,
    0.056146446615457535,
    0.05840853601694107,
    0.06119066849350929,
    0.06437477469444275,
    0.06907404214143753,
    0.06491587311029434,
    0.06316705793142319,
    0.059468597173690796,
    0.054552026093006134,
    0.0502803660929203,
    0.04893358051776886,
    0.050606563687324524,
    0.049023550003767014,
    0.047596946358680725,
    0.04875534027814865,
    0.04729791730642319,
    0.048482198268175125,
    0.05140496790409088,
    0.05094948783516884,
    0.05427492409944534,
    0.056978486478328705,
    0.06247034668922424,
    0.05988636612892151,
    0.05507391318678856,
    0.04930964112281799,
    0.05297628417611122,
    0.05356309562921524,
    0.05085813254117966,
    0.047938644886016846,
    0.04657084494829178,
    0.03834530711174011,
    0.03552399203181267,
    0.035119298845529556,
    0.033181458711624146,
    0.032251156866550446,
    0.03415333107113838,
    0.03388618305325508,
    0.034094080328941345,
    0.04320201650261879,
    0.04786520078778267,
    0.05257284268736839,
    0.05594343692064285,
    0.0626077726483345,
    0.07275228202342987,
    0.07991886138916016,
    0.08496224880218506,
    0.08391741663217545,
    0.08290181308984756,
    0.0797925665974617,
    0.0768246278166771,
    0.072426438331604,
    0.06910332292318344,
    0.0734550729393959,
    0.07597571611404419,
    0.07401927560567856,
    0.06926504522562027,
    0.07130439579486847,
    0.06792302429676056,
    0.07301900535821915,
    0.07534480839967728,
    0.07952322065830231,
    0.07913146913051605,
    0.07795001566410065,
    0.0777011290192604,
    0.0771641656756401,
    0.07636535912752151,
    0.0752134695649147,
    0.074564628303051,
    0.07305145263671875,
    0.0710582509636879,
    0.06856273114681244,
    0.06637465208768845,
    0.06470958143472672,
    0.06572926789522171,
    0.06740380078554153,
    0.07127457857131958,
    0.0705493837594986,
    0.07091866433620453,
    0.0701047033071518,
    0.0715361163020134,
    0.07315079867839813,
    0.07216673344373703,
    0.07319945842027664,
    0.07281958311796188,
    0.07635358721017838,
    0.07554616779088974,
    0.07619524002075195,
    0.07614430040121078,
    0.07937116920948029,
    0.08019513636827469,
    0.07805673778057098,
    0.079187773168087,
    0.07967927306890488,
    0.07903700321912766,
    0.07473866641521454,
    0.07031332701444626,
    0.0650472342967987,
    0.0654076337814331,
    0.06686423718929291,
    0.0677742287516594,
    0.06725800037384033,
    0.06403637677431107,
    0.057767435908317566,
    0.05501290038228035,
    0.05361839011311531,
    0.0536922886967659,
    0.056350793689489365,
    0.05816518887877464,
    0.05167827755212784,
    0.04887698218226433,
    0.0476791113615036,
    0.04733992740511894,
    0.04422151669859886,
    0.04254840314388275,
    0.048683926463127136,
    0.057358354330062866,
    0.06602516025304794,
    0.07459330558776855,
    0.07521259784698486,
    0.08054525405168533,
    0.08451531082391739,
    0.08392291516065598,
    0.08141069859266281,
    0.07621811330318451,
    0.07223274558782578,
    0.07065661251544952,
    0.06785418838262558,
    0.05970313772559166,
    0.05716712027788162,
    0.05411791801452637,
    0.05327126756310463,
    0.049186255782842636,
    0.04619264975190163,
    0.04621525853872299,
    0.04838218539953232,
    0.047559645026922226,
    0.04698498174548149,
    0.04914565756917,
    0.044130805879831314,
    0.04157913848757744,
    0.03873065859079361,
    0.03513466939330101,
    0.03393890708684921,
    0.030572062358260155,
    0.029040994122624397,
    0.02854870818555355,
    0.026430364698171616,
    0.023587753996253014,
    0.02243567258119583,
    0.02133265696465969,
    0.021189801394939423,
    0.02036188915371895,
    0.018620699644088745,
    0.01787681318819523,
    0.018133874982595444,
    0.019316373392939568,
    0.021384673193097115,
    0.02403804287314415,
    0.028449896723031998,
    0.032649893313646317,
    0.03666083514690399,
    0.03929823637008667,
    0.03870120644569397,
    0.035989269614219666,
    0.03492072597146034,
    0.03452129289507866,
    0.03222082555294037,
    0.03136846050620079,
    0.02944355085492134,
    0.023239998146891594,
    0.020376401022076607,
    0.01816757768392563,
    0.01714455522596836,
    0.015929099172353745,
    0.015295418910682201,
    0.014743498526513577,
    0.013912620022892952,
    0.014347835443913937,
    0.015337836928665638,
    0.014892345294356346,
    0.01463734544813633,
    0.015634605661034584,
    0.015740809962153435,
    0.014809299260377884,
    0.013183879666030407,
    0.012424066662788391,
    0.012576721608638763,
    0.011998767033219337,
    0.012218412943184376,
    0.01260598935186863,
    0.011738481000065804,
    0.011861758306622505,
    0.012468650937080383,
    0.013405733741819859,
    0.014543245546519756,
    0.01656407117843628,
    0.0190400630235672,
    0.01982181891798973,
    0.019709181040525436,
    0.01756228134036064,
    0.015019946731626987,
    0.013492975383996964,
    0.011895804665982723,
    0.011167311109602451,
    0.010729548521339893,
    0.010362492874264717,
    0.010522719472646713,
    0.010237401351332664,
    0.01030712854117155,
    0.010898404754698277,
    0.009676588699221611,
    0.009216917678713799,
    0.009386194869875908,
    0.009361456148326397,
    0.009047484025359154,
    0.008783815428614616,
    0.00844508409500122,
    0.008142882026731968,
    0.008130978792905807,
    0.008116968907415867,
    0.008504971861839294,
    0.008952983655035496,
    0.00926192943006754,
    0.010090182535350323,
    0.010408156551420689,
    0.010971316136419773,
    0.011366069316864014,
    0.011912541463971138,
    0.012457065284252167,
    0.01272286381572485,
    0.012543655931949615,
    0.011551287956535816,
    0.011638691648840904,
    0.011921058408915997,
    0.012423024512827396,
    0.012167706154286861,
    0.011798995546996593,
    0.010748002678155899,
    0.009855768643319607,
    0.009178733453154564,
    0.008471298031508923,
    0.008174723945558071,
    0.008290622383356094,
    0.008594590239226818,
    0.009219669736921787,
    0.009450799785554409,
    0.009900081902742386,
    0.010334646329283714,
    0.011324752122163773,
    0.012068483978509903,
    0.012523933313786983,
    0.012508610263466835,
    0.01187914703041315,
    0.010741905309259892,
    0.01063885074108839,
    0.010942373424768448,
    0.011138418689370155,
    0.011760218068957329,
    0.0123243173584342,
    0.011785931885242462,
    0.011871728114783764,
    0.012561257928609848,
    0.0136485006660223,
    0.016221260651946068,
    0.019448038190603256,
    0.021107234060764313,
    0.02202720381319523,
    0.022531406953930855,
    0.02162986434996128,
    0.020926393568515778,
    0.019241226837038994,
    0.01591547764837742,
    0.013803845271468163,
    0.013031389564275742,
    0.01235962938517332,
    0.011998297646641731,
    0.011965269222855568,
    0.013658806681632996,
    0.014173618517816067,
    0.013444170355796814,
    0.013392842374742031,
    0.014044300653040409,
    0.01490167248994112,
    0.015245271846652031,
    0.015109511092305183,
    0.014735659584403038,
    0.014290562830865383,
    0.013877776451408863,
    0.013255600817501545,
    0.012654079124331474,
    0.012517082504928112,
    0.012119381688535213,
    0.011679621413350105,
    0.01125999353826046,
    0.010809986852109432,
    0.010713060386478901,
    0.010700671002268791,
    0.010235593654215336,
    0.010084601119160652,
    0.01032275427132845,
    0.010163170285522938,
    0.009866607375442982,
    0.009922829456627369,
    0.009786837734282017,
    0.00962198618799448,
    0.009569047950208187,
    0.009468435309827328,
    0.009377934038639069,
    0.009751927107572556,
    0.00969519093632698,
    0.009683487005531788,
    0.009535213001072407,
    0.009371411055326462,
    0.009497333317995071,
    0.009575548581779003,
    0.010243670083582401,
    0.010638830251991749,
    0.010442828759551048,
    0.01041865348815918,
    0.010078862309455872,
    0.009822933934628963,
    0.009886345826089382,
    0.009832325391471386,
    0.009613745845854282,
    0.009515409357845783,
    0.009579293429851532,
    0.009522202424705029,
    0.009690389037132263,
    0.009153321385383606,
    0.008646703325212002,
    0.00847129337489605,
    0.008636429905891418,
    0.008648081682622433,
    0.009066049009561539,
    0.009920529089868069,
    0.010343829169869423,
    0.011058717966079712,
    0.012124726548790932,
    0.012897311709821224,
    0.012567338533699512,
    0.013230917975306511,
    0.013322979211807251,
    0.013288959860801697,
    0.013126143254339695,
    0.012504970654845238,
    0.012025902047753334,
    0.01186094805598259,
    0.01194988377392292,
    0.011687390506267548,
    0.011235599406063557,
    0.01081120502203703,
    0.010598273016512394,
    0.010419823229312897,
    0.010405123233795166,
    0.010398967191576958,
    0.010336295701563358,
    0.010374827310442924,
    0.010503879748284817,
    0.010386187583208084,
    0.010429591871798038,
    0.010408373549580574,
    0.010547403246164322,
    0.010317201726138592,
    0.010498935356736183,
    0.010676941834390163,
    0.010597143322229385,
    0.010123117826879025,
    0.010165991261601448,
    0.010439173318445683,
    0.010441902093589306,
    0.010467921383678913,
    0.010367021895945072,
    0.009893625974655151,
    0.01006992720067501,
    0.00992679689079523,
    0.009777696803212166,
    0.009721376933157444,
    0.009664081037044525,
    0.009645797312259674,
    0.00966560561209917,
    0.009691569954156876,
    0.009772472083568573,
    0.009925326332449913,
    0.009902948513627052,
    0.01037782896310091,
    0.010540513321757317,
    0.010431467555463314,
    0.01071223709732294,
    0.010788205079734325,
    0.010369312018156052,
    0.010210943408310413,
    0.010141669772565365,
    0.010109413415193558,
    0.009925377555191517,
    0.009773459285497665,
    0.009659691713750362,
    0.009573635645210743,
    0.009581261314451694,
    0.009640033356845379,
    0.009565256536006927,
    0.009797708131372929,
    0.009935124777257442,
    0.010470103472471237,
    0.010841047391295433,
    0.011365609243512154,
    0.012110713869333267,
    0.012335984036326408,
    0.011881868354976177,
    0.012595773674547672,
    0.012991317547857761,
    0.012804181315004826,
    0.013246111571788788,
    0.012973219156265259,
    0.012395162135362625,
    0.012210214510560036,
    0.012177148833870888,
    0.01205338817089796,
    0.011824163608253002,
    0.01223072875291109,
    0.012357394210994244,
    0.01238666009157896,
    0.011843417771160603,
    0.011222956702113152,
    0.011405551806092262,
    0.01163603737950325,
    0.012003368698060513,
    0.011787137016654015,
    0.013537692837417126,
    0.014075486920773983,
    0.013482024893164635,
    0.013431539759039879,
    0.013012673705816269,
    0.012747048400342464,
    0.01267809234559536,
    0.013130857609212399,
    0.013067832216620445,
    0.013234000653028488,
    0.013571842573583126,
    0.013379290699958801,
    0.013569347560405731,
    0.014360479079186916,
    0.014480669982731342,
    0.014835516922175884,
    0.0161283016204834,
    0.01845315657556057,
    0.01948224939405918,
    0.0200593713670969,
    0.01970142498612404,
    0.018476808443665504,
    0.017558399587869644,
    0.016445044428110123,
    0.016102541238069534,
    0.015855440869927406,
    0.014889274723827839,
    0.014534376561641693,
    0.01356963999569416,
    0.013434022665023804,
    0.012946453876793385,
    0.012666852213442326,
    0.01248724665492773,
    0.01313854567706585,
    0.014103889465332031,
    0.016409503296017647,
    0.01921750232577324,
    0.021872445940971375,
    0.02400320954620838,
    0.0246242918074131,
    0.02669912576675415,
    0.027788890525698662,
    0.027646712958812714,
    0.026266902685165405,
    0.023591741919517517,
    0.020959900692105293,
    0.0198171678930521,
    0.019442882388830185,
    0.018073812127113342,
    0.017643529921770096,
    0.018332628533244133,
    0.018380995839834213,
    0.02007627673447132,
    0.01869449019432068,
    0.01805165410041809,
    0.0183417946100235,
    0.017662424594163895,
    0.01732383854687214,
    0.01820501498878002,
    0.018504872918128967,
    0.018779145553708076,
    0.01835772953927517,
    0.019087884575128555,
    0.020618485286831856,
    0.023028288036584854,
    0.027281664311885834,
    0.031794242560863495,
    0.03296816349029541,
    0.033905234187841415,
    0.03493427485227585,
    0.03659360110759735,
    0.034078922122716904,
    0.03404804691672325,
    0.03667784109711647,
    0.037315212190151215,
    0.03950389102101326,
    0.044193681329488754,
    0.04918993264436722,
    0.05196543410420418,
    0.050585389137268066,
    0.056855641305446625,
    0.06540786474943161,
    0.06921062618494034,
    0.0653693825006485,
    0.06110050156712532,
    0.0531269833445549,
    0.055443666875362396,
    0.05999325215816498,
    0.05453884229063988,
    0.05164230242371559,
    0.06153472885489464,
    0.06909599900245667,
    0.068900465965271,
    0.07394079118967056,
    0.07461520284414291,
    0.06797394156455994,
    0.06251802295446396,
    0.06071222946047783,
    0.060603946447372437,
    0.06030985713005066,
    0.056140150874853134,
    0.05812501534819603,
    0.06313902884721756,
    0.07701598107814789,
    0.08733884990215302,
    0.08470125496387482,
    0.09056199342012405,
    0.08780155330896378,
    0.07953596115112305,
    0.07903488725423813,
    0.08316656202077866,
    0.0782589390873909,
    0.0778026357293129,
    0.0757002979516983,
    0.07510151714086533,
    0.0743119940161705,
    0.07429598271846771,
    0.07297089695930481,
    0.06751590967178345,
    0.0632011666893959,
    0.06130068376660347,
    0.05873185396194458,
    0.05682337284088135,
    0.060926713049411774,
    0.061794038861989975,
    0.059690672904253006,
    0.06212044134736061,
    0.06376483291387558,
    0.06209249794483185,
    0.06419578939676285,
    0.06616944819688797,
    0.06566531211137772,
    0.06861943751573563,
    0.0720825046300888,
    0.07194969803094864,
    0.07391797751188278,
    0.08508380502462387,
    0.08650776743888855,
    0.09115318208932877,
    0.08516351878643036,
    0.08743597567081451,
    0.09663685411214828,
    0.10883455723524094,
    0.11859465390443802,
    0.12044753134250641,
    0.11758214980363846,
    0.11362679302692413,
    0.12111837416887283,
    0.12294305115938187,
    0.12835030257701874,
    0.13086293637752533,
    0.12887521088123322,
    0.12819814682006836,
    0.12803328037261963,
    0.1315331608057022,
    0.1337851583957672,
    0.1374809741973877,
    0.14129790663719177,
    0.13925480842590332,
    0.13763432204723358,
    0.13591280579566956,
    0.1404573619365692,
    0.1367480456829071,
    0.13846246898174286,
    0.14061644673347473,
    0.13723218441009521,
    0.136235311627388,
    0.1352585405111313,
    0.13159187138080597,
    0.12950927019119263,
    0.1303696483373642,
    0.12785504758358002,
    0.1252012401819229,
    0.12720929086208344,
    0.1280355155467987,
    0.13158591091632843,
    0.13564836978912354,
    0.1428050398826599,
    0.1430179923772812,
    0.1481398344039917,
    0.1591033935546875,
    0.1676008105278015,
    0.19070430099964142,
    0.20153649151325226,
    0.17352604866027832,
    0.16335874795913696,
    0.1441143900156021,
    0.14832201600074768,
    0.1504872888326645,
    0.15394732356071472,
    0.15765085816383362,
    0.14846846461296082,
    0.14106331765651703,
    0.13138583302497864,
    0.1318608969449997,
    0.15126444399356842,
    0.1488567441701889,
    0.15114256739616394,
    0.14647230505943298,
    0.13679218292236328,
    0.1362266093492508,
    0.13892821967601776,
    0.14036817848682404,
    0.14361223578453064,
    0.1408887654542923,
    0.14217360317707062,
    0.13677892088890076,
    0.13792859017848969,
    0.1382363736629486,
    0.13727037608623505,
    0.13853903114795685,
    0.1403162032365799,
    0.13724885880947113,
    0.13717716932296753,
    0.13554082810878754,
    0.13491643965244293,
    0.13787120580673218,
    0.1369604915380478,
    0.13796856999397278,
    0.1383548229932785,
    0.1392013132572174,
    0.14144383370876312,
    0.14145004749298096,
    0.14186035096645355,
    0.1407770961523056,
    0.14083047211170197,
    0.14150799810886383,
    0.14172403514385223,
    0.13785354793071747,
    0.13947387039661407,
    0.1408979296684265,
    0.1390787810087204,
    0.13645702600479126,
    0.1295394003391266,
    0.12791569530963898,
    0.12599113583564758,
    0.12926194071769714,
    0.12672112882137299,
    0.12954950332641602,
    0.12594279646873474,
    0.12302929908037186,
    0.11962814629077911,
    0.11617105454206467,
    0.11986730247735977,
    0.1255338191986084,
    0.12268401682376862,
    0.11563261598348618,
    0.1025756374001503,
    0.09926930069923401,
    0.09408829361200333,
    0.10231714695692062,
    0.10660355538129807,
    0.10794021189212799,
    0.10816363245248795,
    0.10831841826438904,
    0.11811812967061996,
    0.11519381403923035,
    0.11928687244653702,
    0.11014311760663986,
    0.11248531937599182,
    0.11635707318782806,
    0.1301640272140503,
    0.12329930067062378,
    0.12612846493721008,
    0.11007526516914368,
    0.1031983494758606,
    0.1029089093208313,
    0.10015556961297989,
    0.09667384624481201,
    0.09391336143016815,
    0.09860251098871231,
    0.0966743677854538,
    0.10438819974660873,
    0.10472897440195084,
    0.1098443791270256,
    0.12008629739284515,
    0.1307796686887741,
    0.14018301665782928,
    0.1432638168334961,
    0.13857120275497437,
    0.13922536373138428,
    0.14379249513149261,
    0.14443817734718323,
    0.14103099703788757,
    0.12740862369537354,
    0.13815826177597046,
    0.1441079080104828,
    0.12891879677772522,
    0.1469782292842865,
    0.13594238460063934,
    0.1348426342010498,
    0.14529356360435486,
    0.1732453554868698,
    0.18170137703418732,
    0.19519099593162537,
    0.1938730925321579,
    0.187628373503685,
    0.17915576696395874,
    0.1833963692188263,
    0.17544136941432953,
    0.16481131315231323,
    0.15572293102741241,
    0.14587907493114471,
    0.14373354613780975,
    0.14761701226234436,
    0.15072475373744965,
    0.14523549377918243,
    0.13835160434246063,
    0.14922355115413666,
    0.1627420037984848,
    0.17065192759037018,
    0.1561833769083023,
    0.16102385520935059,
    0.15840715169906616,
    0.17185191810131073,
    0.17907105386257172,
    0.19382914900779724,
    0.19657115638256073,
    0.1921507716178894,
    0.19032514095306396,
    0.19362635910511017,
    0.19696609675884247,
    0.2004338502883911,
    0.20210914313793182,
    0.20870938897132874,
    0.2067071944475174,
    0.20611993968486786,
    0.2071567326784134,
    0.20783570408821106,
    0.2071208506822586,
    0.1946197748184204,
    0.1780795007944107,
    0.1743299961090088,
    0.18406325578689575,
    0.18611633777618408,
    0.18106882274150848,
    0.19411276280879974,
    0.1791611909866333,
    0.18170613050460815,
    0.20196431875228882,
    0.21305473148822784,
    0.23324429988861084,
    0.23671367764472961,
    0.2652396261692047,
    0.26871517300605774,
    0.26558762788772583,
    0.25745275616645813,
    0.2529798150062561,
    0.25393086671829224,
    0.25718817114830017,
    0.2743634879589081,
    0.2951343059539795,
    0.3170337975025177,
    0.3255407214164734,
    0.33750808238983154,
    0.3311110734939575,
    0.3445289134979248,
    0.3338128924369812,
    0.3268771469593048,
    0.3175545930862427,
    0.3197771906852722,
    0.3177124559879303,
    0.3235144317150116,
    0.31342265009880066,
    0.3010327219963074,
    0.30697956681251526,
    0.29984012246131897,
    0.2756822109222412,
    0.2671549618244171,
    0.27053558826446533,
    0.257453054189682,
    0.2576844394207001,
    0.25864461064338684,
    0.24480366706848145,
    0.23810254037380219,
    0.23776845633983612,
    0.26175639033317566,
    0.2796308100223541,
    0.2787403464317322,
    0.2838306725025177,
    0.2798886001110077,
    0.2748689353466034,
    0.27703607082366943,
    0.2527519762516022,
    0.2413744479417801,
    0.24353379011154175,
    0.23375162482261658,
    0.2394534796476364,
    0.24280843138694763,
    0.25099682807922363,
    0.26257386803627014,
    0.27364644408226013,
    0.2646028697490692,
    0.24659350514411926,
    0.25004544854164124,
    0.24171191453933716,
    0.25833526253700256,
    0.2666768729686737,
    0.2748521566390991,
    0.27188533544540405,
    0.27790576219558716,
    0.28129956126213074,
    0.28383827209472656,
    0.2888436019420624,
    0.2845239043235779,
    0.288134902715683,
    0.28772714734077454,
    0.2926951050758362,
    0.29350796341896057,
    0.30318501591682434,
    0.30453309416770935,
    0.3090486228466034,
    0.30646705627441406,
    0.29891112446784973,
    0.28329068422317505,
    0.28142571449279785,
    0.26752424240112305,
    0.2620485723018646,
    0.2642889618873596,
    0.2704029977321625,
    0.2871687710285187,
    0.292431503534317,
    0.30314940214157104,
    0.30271291732788086,
    0.30148759484291077,
    0.285727858543396,
    0.2706480920314789,
    0.2220388501882553,
    0.20185239613056183,
    0.18428924679756165,
    0.1937990039587021,
    0.19576743245124817,
    0.21650323271751404,
    0.23594273626804352,
    0.23952633142471313,
    0.239834263920784,
    0.24447377026081085,
    0.2444254755973816,
    0.25144997239112854,
    0.25324320793151855,
    0.254397988319397,
    0.24946749210357666,
    0.24683617055416107,
    0.2458762675523758,
    0.2459903061389923,
    0.2406623810529709,
    0.22547225654125214,
    0.21409375965595245,
    0.20973646640777588,
    0.2169211208820343,
    0.22737205028533936,
    0.2489844560623169,
    0.262643963098526,
    0.2656800448894501,
    0.2533702552318573,
    0.24210810661315918,
    0.2344091236591339,
    0.22601816058158875,
    0.2392987459897995,
    0.2274187207221985,
    0.22971642017364502,
    0.23200508952140808,
    0.23663748800754547,
    0.2642855644226074,
    0.293942391872406,
    0.3060242831707001,
    0.30430200695991516,
    0.30082637071609497,
    0.29398006200790405,
    0.3005599081516266,
    0.3062640428543091,
    0.3018677532672882,
    0.2974414527416229,
    0.27868327498435974,
    0.2874964773654938,
    0.2913190424442291,
    0.30877164006233215,
    0.3205042779445648,
    0.3061388432979584,
    0.28836381435394287,
    0.26796993613243103,
    0.24554650485515594,
    0.23538754880428314,
    0.24073338508605957,
    0.2510506510734558,
    0.26539021730422974,
    0.2601112127304077,
    0.2567397952079773,
    0.2538914382457733,
    0.24961797893047333,
    0.26374340057373047,
    0.26738160848617554,
    0.2804698050022125,
    0.2846600115299225,
    0.28735238313674927,
    0.29242393374443054,
    0.30192163586616516,
    0.2828688323497772,
    0.2780546247959137,
    0.2796821594238281,
    0.28078967332839966,
    0.2833208441734314,
    0.285085529088974,
    0.28742989897727966,
    0.28905609250068665,
    0.28805822134017944,
    0.29780587553977966,
    0.2973783016204834,
    0.30011606216430664,
    0.3039877712726593,
    0.30689576268196106,
    0.29860028624534607,
    0.2920330762863159,
    0.2915388345718384,
    0.29087796807289124,
    0.2868821620941162,
    0.28306710720062256,
    0.29081210494041443,
    0.2956836521625519,
    0.30936020612716675,
    0.32420262694358826,
    0.3280332386493683,
    0.3065125644207001,
    0.2855449914932251,
    0.2778010368347168,
    0.2856242060661316,
    0.2953510284423828,
    0.3076079785823822,
    0.31902384757995605,
    0.3272342383861542,
    0.32600587606430054,
    0.32833465933799744,
    0.367590069770813,
    0.3833421468734741,
    0.3618067502975464,
    0.3842082619667053,
    0.369823157787323,
    0.37571483850479126,
    0.3663731813430786,
    0.35397687554359436,
    0.349566787481308,
    0.35496795177459717,
    0.3508540093898773,
    0.3514920771121979,
    0.3513379991054535,
    0.34572985768318176,
    0.3413000702857971,
    0.3424612283706665,
    0.34261637926101685,
    0.3449368476867676,
    0.3463415801525116,
    0.3479572534561157,
    0.33995139598846436,
    0.3481660783290863,
    0.35816681385040283,
    0.3629516363143921,
    0.3660949766635895,
    0.35878902673721313,
    0.3427376449108124,
    0.3372742533683777,
    0.34475192427635193,
    0.36043882369995117,
    0.36920562386512756,
    0.36919426918029785,
    0.3694746792316437,
    0.36115455627441406,
    0.36481013894081116,
    0.3770087957382202,
    0.37953540682792664,
    0.4002402424812317,
    0.4322075843811035,
    0.42853811383247375,
    0.4267059564590454,
    0.40704408288002014,
    0.35434475541114807,
    0.3539333939552307,
    0.3483094871044159,
    0.34108418226242065,
    0.3420621156692505,
    0.35793620347976685,
    0.3554300367832184,
    0.3666495680809021,
    0.3717692494392395,
    0.3674016296863556,
    0.37743332982063293,
    0.37501847743988037,
    0.36860740184783936,
    0.3585715591907501,
    0.34389999508857727,
    0.33246204257011414,
    0.3430354595184326,
    0.307738721370697,
    0.2966632544994354,
    0.29371294379234314,
    0.2991144061088562,
    0.29993027448654175,
    0.2934393882751465,
    0.28700828552246094,
    0.2877151072025299,
    0.2916974723339081,
    0.29466596245765686,
    0.29508718848228455,
    0.30433109402656555,
    0.2990308105945587,
    0.30431073904037476,
    0.30191513895988464,
    0.2978651821613312,
    0.267980694770813,
    0.25883957743644714,
    0.274730920791626,
    0.2675440013408661,
    0.2767714858055115,
    0.27933046221733093,
    0.2919645607471466,
    0.28820380568504333,
    0.2877226769924164,
    0.28521478176116943,
    0.2834486663341522,
    0.28700870275497437,
    0.2862319052219391,
    0.3004523813724518,
    0.29523468017578125,
    0.28750211000442505,
    0.2827712595462799,
    0.27745914459228516,
    0.2723468542098999,
    0.28111690282821655,
    0.2870108485221863,
    0.2917800545692444,
    0.286721795797348,
    0.2847649157047272,
    0.2813732922077179,
    0.2885901927947998,
    0.29202979803085327,
    0.2913561463356018,
    0.29923132061958313,
    0.2861082851886749,
    0.27532145380973816,
    0.27585646510124207,
    0.2777274250984192,
    0.2823389768600464,
    0.29449906945228577,
    0.3098244369029999,
    0.31283050775527954,
    0.28969550132751465,
    0.2827364504337311,
    0.29149577021598816,
    0.3084399104118347,
    0.30109259486198425,
    0.30545324087142944,
    0.3074076473712921,
    0.29253286123275757,
    0.30291110277175903,
    0.31672781705856323,
    0.3217267096042633,
    0.3198038637638092,
    0.3132621943950653,
    0.30810582637786865,
    0.29946187138557434,
    0.2926247715950012,
    0.2870293855667114,
    0.28025370836257935,
    0.27071499824523926,
    0.2630913555622101,
    0.254451185464859,
    0.2412893921136856,
    0.2431725263595581,
    0.23602721095085144,
    0.23309671878814697,
    0.20257475972175598,
    0.17655855417251587,
    0.18006817996501923,
    0.18725399672985077,
    0.20671236515045166,
    0.24569576978683472,
    0.2631361186504364,
    0.2533997893333435,
    0.2421698272228241,
    0.2207406610250473,
    0.19784817099571228,
    0.17116156220436096,
    0.15970873832702637,
    0.14609000086784363,
    0.15035881102085114,
    0.1516120284795761,
    0.15981633961200714,
    0.15479706227779388,
    0.15341494977474213,
    0.15475375950336456,
    0.14797478914260864,
    0.1411186158657074,
    0.14646697044372559,
    0.1488451063632965,
    0.14476630091667175,
    0.1383792608976364,
    0.13903476297855377,
    0.14043167233467102,
    0.15195369720458984,
    0.16408661007881165,
    0.16855160892009735,
    0.1669609099626541,
    0.15842097997665405,
    0.14835289120674133,
    0.13681729137897491,
    0.12739579379558563,
    0.1180984154343605,
    0.11150738596916199,
    0.10641317069530487,
    0.11343682557344437,
    0.10010525584220886,
    0.1070176362991333,
    0.11866619437932968,
    0.10530221462249756,
    0.10262465476989746,
    0.10549309104681015,
    0.11230162531137466,
    0.10087154805660248,
    0.09751888364553452,
    0.10251422971487045,
    0.10349089652299881,
    0.10067034512758255,
    0.09951665252447128,
    0.09946068376302719,
    0.11204476654529572,
    0.13303349912166595,
    0.15385127067565918,
    0.17092099785804749,
    0.18051132559776306,
    0.18320322036743164,
    0.17407210171222687,
    0.1581062376499176,
    0.14209915697574615,
    0.1306207776069641,
    0.11712552607059479,
    0.10795097798109055,
    0.10762231051921844,
    0.1041034534573555,
    0.09513658285140991,
    0.08908836543560028,
    0.08583545684814453,
    0.07799435406923294,
    0.07286310195922852,
    0.06816128641366959,
    0.0648459643125534,
    0.060144104063510895,
    0.05893560126423836,
    0.057979926466941833,
    0.052835170179605484,
    0.047858357429504395,
    0.04706916958093643,
    0.0451909676194191,
    0.04152418300509453,
    0.039697445929050446,
    0.0399194099009037,
    0.03857697173953056,
    0.03583717346191406,
    0.03388926386833191,
    0.03132110834121704,
    0.029779981821775436,
    0.03395248204469681,
    0.04334842413663864,
    0.05389120429754257,
    0.06191135197877884,
    0.06912825256586075,
    0.07141213119029999,
    0.07048796862363815,
    0.07020983099937439,
    0.06339943408966064,
    0.0541580431163311,
    0.051387228071689606,
    0.05024164915084839,
    0.04746652767062187,
    0.039289284497499466,
    0.03547295928001404,
    0.03363936021924019,
    0.032318636775016785,
    0.028904208913445473,
    0.027041781693696976,
    0.026310892775654793,
    0.025580814108252525,
    0.025751089677214622,
    0.028929583728313446,
    0.030782092362642288,
    0.03280637040734291,
    0.03772997111082077,
    0.041281331330537796,
    0.04605962336063385,
    0.0593135692179203,
    0.06197477504611015,
    0.06091786175966263,
    0.06713441014289856,
    0.06981103867292404,
    0.07286771386861801,
    0.07731568068265915,
    0.08044655621051788,
    0.07733951508998871,
    0.06863301992416382,
    0.05981370434165001,
    0.04953029751777649,
    0.04485004022717476,
    0.040024105459451675,
    0.037523359060287476,
    0.03765055164694786,
    0.03219068422913551,
    0.030547957867383957,
    0.027327148243784904,
    0.026620659977197647,
    0.025680704042315483,
    0.026991067454218864,
    0.027687523514032364,
    0.0284473467618227,
    0.02866455726325512,
    0.031366366893053055,
    0.03215298056602478,
    0.03710467368364334,
    0.03990265354514122,
    0.04709944128990173,
    0.06094938516616821,
    0.07243581116199493,
    0.08336462080478668,
    0.08709593117237091,
    0.09251358360052109,
    0.09727935492992401,
    0.100527822971344,
    0.10012243688106537,
    0.09406067430973053,
    0.08395510911941528,
    0.08328911662101746,
    0.08156414330005646,
    0.07857353240251541,
    0.08435967564582825,
    0.08825807273387909,
    0.08847766369581223,
    0.09144347161054611,
    0.09251311421394348,
    0.0879727452993393,
    0.08137504011392593,
    0.08105181157588959,
    0.0852648988366127,
    0.08425597846508026,
    0.08284783363342285,
    0.08617471158504486,
    0.07773568481206894,
    0.06743527948856354,
    0.06292819231748581,
    0.06227792426943779,
    0.05848629027605057,
    0.05922506004571915,
    0.05736010521650314,
    0.05316917970776558,
    0.049658678472042084,
    0.04660304635763168,
    0.04318779334425926,
    0.04121622443199158,
    0.04101748764514923,
    0.039740417152643204,
    0.036258917301893234,
    0.03498917073011398,
    0.033175501972436905,
    0.030895235016942024,
    0.02746862918138504,
    0.024580946192145348,
    0.02356281504034996,
    0.02228250354528427,
    0.02107815444469452,
    0.01933394931256771,
    0.018816154450178146,
    0.018123943358659744,
    0.01760288141667843,
    0.017711983993649483,
    0.018307698890566826,
    0.017901241779327393,
    0.017277581617236137,
    0.017846841365098953,
    0.018430843949317932,
    0.01935725286602974,
    0.019915437325835228,
    0.020564794540405273,
    0.021157920360565186,
    0.020743386819958687,
    0.020634133368730545,
    0.01895553059875965,
    0.017971191555261612,
    0.018469545990228653,
    0.01924828253686428,
    0.019543172791600227,
    0.020104965195059776,
    0.021627387031912804,
    0.022900812327861786,
    0.024989711120724678,
    0.02741837315261364,
    0.030480854213237762,
    0.03301040455698967,
    0.03416507691144943,
    0.036111392080783844,
    0.039746303111314774,
    0.045116275548934937,
    0.04908406361937523,
    0.056937430053949356,
    0.06210890784859657,
    0.06199220195412636,
    0.0614965446293354,
    0.06541427969932556,
    0.06580305099487305,
    0.06543992459774017,
    0.0678238719701767,
    0.06567442417144775,
    0.061742059886455536,
    0.06005583703517914,
    0.06334070861339569,
    0.059812095016241074,
    0.05813758447766304,
    0.0631115511059761,
    0.06004862114787102,
    0.07016066461801529,
    0.0732736811041832,
    0.07002416253089905,
    0.07923877984285355,
    0.08635422587394714,
    0.08391181379556656,
    0.07721131294965744,
    0.06458249688148499,
    0.05934550613164902,
    0.0570262148976326,
    0.05404462665319443,
    0.054353851824998856,
    0.05195720121264458,
    0.04395313188433647,
    0.03805277869105339,
    0.03178983926773071,
    0.029165389016270638,
    0.02967376448214054,
    0.029805032536387444,
    0.02978368289768696,
    0.02732180804014206,
    0.027566082775592804,
    0.029623519629240036,
    0.030324561521410942,
    0.03278341889381409,
    0.036739151924848557,
    0.03826972097158432,
    0.04130801185965538,
    0.04109342396259308,
    0.04148053377866745,
    0.04555751755833626,
    0.05248069763183594,
    0.061388056725263596,
    0.0645664855837822,
    0.06699499487876892,
    0.06643623113632202,
    0.0641886442899704,
    0.059871237725019455,
    0.06104019284248352,
    0.06081651523709297,
    0.054269131273031235,
    0.05635509267449379,
    0.05564618483185768,
    0.059017229825258255,
    0.06542249768972397,
    0.06899858266115189,
    0.07501713186502457,
    0.0904693454504013,
    0.09581499546766281,
    0.09026490151882172,
    0.084743432700634,
    0.08157064765691757,
    0.07857368886470795,
    0.07431916147470474,
    0.07134971022605896,
    0.07269438356161118,
    0.07171891629695892,
    0.06589169055223465,
    0.05977601185441017,
    0.05091794207692146,
    0.046053528785705566,
    0.0450153574347496,
    0.043146662414073944,
    0.03619099408388138,
    0.03176264092326164,
    0.029047267511487007,
    0.027675002813339233,
    0.024982623755931854,
    0.0237170048058033,
    0.023628873750567436,
    0.024076158180832863,
    0.023429526016116142,
    0.024443235248327255,
    0.02915644645690918,
    0.03269926831126213,
    0.03498047590255737,
    0.03792932257056236,
    0.03785204514861107,
    0.03414168581366539,
    0.029106296598911285,
    0.026817208155989647,
    0.024378666654229164,
    0.022975120693445206,
    0.02368748188018799,
    0.023981815204024315,
    0.02388702891767025,
    0.02281048521399498,
    0.022373192012310028,
    0.022873682901263237,
    0.021211935207247734,
    0.022282429039478302,
    0.024633966386318207,
    0.027350369840860367,
    0.030202900990843773,
    0.035587944090366364,
    0.039069440215826035,
    0.038931701332330704,
    0.03666733577847481,
    0.03729793056845665,
    0.03597696125507355,
    0.03174242377281189,
    0.02935577929019928,
    0.027625391259789467,
    0.024744749069213867,
    0.023530270904302597,
    0.02334851399064064,
    0.023145847022533417,
    0.022566141560673714,
    0.022876136004924774,
    0.024176552891731262,
    0.02449410781264305,
    0.023114116862416267,
    0.021105889230966568,
    0.02247791923582554,
    0.022189898416399956,
    0.019839223474264145,
    0.02046104706823826,
    0.022145988419651985,
    0.021773425862193108,
    0.0212542861700058,
    0.02088351547718048,
    0.018870962783694267,
    0.01782187633216381,
    0.018002139404416084,
    0.01796705089509487,
    0.017566164955496788,
    0.01727922447025776,
    0.017588092014193535,
    0.01652761921286583,
    0.016888560727238655,
    0.017203858122229576,
    0.01912946254014969,
    0.02394343540072441,
    0.027327489107847214,
    0.031230837106704712,
    0.03625253587961197,
    0.038201216608285904,
    0.03765863925218582,
    0.03162476047873497,
    0.02788810431957245,
    0.025936996564269066,
    0.02319815754890442,
    0.020091352984309196,
    0.01904185302555561,
    0.018034208565950394,
    0.017244959250092506,
    0.016732217743992805,
    0.01600554957985878,
    0.015761738643050194,
    0.015285210683941841,
    0.016388213261961937,
    0.01922987401485443,
    0.022669721394777298,
    0.02852460741996765,
    0.03517672047019005,
    0.041805874556303024,
    0.04812444746494293,
    0.05095904320478439,
    0.049435652792453766,
    0.04999702423810959,
    0.04649420455098152,
    0.04467477276921272,
    0.04389084875583649,
    0.0425044409930706,
    0.04005175083875656,
    0.03875637799501419,
    0.03743506968021393,
    0.03646466135978699,
    0.03533921018242836,
    0.03270526975393295,
    0.027574675157666206,
    0.023799998685717583,
    0.022440938279032707,
    0.020519856363534927,
    0.01956021972000599,
    0.019287073984742165,
    0.02081994153559208,
    0.023316994309425354,
    0.024508239701390266,
    0.025003500282764435,
    0.024955298751592636,
    0.024713687598705292,
    0.025073500350117683,
    0.02640174888074398,
    0.027456816285848618,
    0.02909337542951107,
    0.029049551114439964,
    0.03096972033381462,
    0.03330547362565994,
    0.03500396013259888,
    0.03767235577106476,
    0.0395260788500309,
    0.04268825054168701,
    0.04757087677717209,
    0.04705256596207619,
    0.048450078815221786,
    0.05069359019398689,
    0.052413541823625565,
    0.056470926851034164,
    0.053792763501405716,
    0.05692936107516289,
    0.06186265870928764,
    0.06333394348621368,
    0.06472118198871613,
    0.061716772615909576,
    0.05728677660226822,
    0.05586579069495201,
    0.05712614580988884,
    0.05903462693095207,
    0.058200012892484665,
    0.06357651948928833,
    0.07642311602830887,
    0.10042452067136765,
    0.13055968284606934,
    0.15265561640262604,
    0.15893535315990448,
    0.16099567711353302,
    0.16531570255756378,
    0.16535846889019012,
    0.1679362803697586,
    0.1638203114271164,
    0.15812353789806366,
    0.15369254350662231,
    0.15026982128620148,
    0.14640046656131744,
    0.1422550231218338,
    0.1356256604194641,
    0.1228146180510521,
    0.11046205461025238,
    0.10421007871627808,
    0.0966186672449112,
    0.09508369863033295,
    0.0984056144952774,
    0.10103940963745117,
    0.09403794258832932,
    0.09340149909257889,
    0.11456188559532166,
    0.11556242406368256,
    0.1259114295244217,
    0.12492592632770538,
    0.12691137194633484,
    0.12025552988052368,
    0.114002525806427,
    0.11575259268283844,
    0.11831347644329071,
    0.12402266263961792,
    0.11770624667406082,
    0.11486317962408066,
    0.11524525284767151,
    0.11721228808164597,
    0.10906540602445602,
    0.11216676980257034,
    0.11665739119052887,
    0.1207692101597786,
    0.11810427159070969,
    0.12210790812969208,
    0.13542765378952026,
    0.12994764745235443,
    0.12592843174934387,
    0.12345533072948456,
    0.10596971958875656,
    0.09672190994024277,
    0.09112244844436646,
    0.08663737028837204,
    0.07944974303245544,
    0.07159596681594849,
    0.06635898351669312,
    0.06315434724092484,
    0.06294969469308853,
    0.06504608690738678,
    0.06864135712385178,
    0.07143168896436691,
    0.07135511189699173,
    0.06877817213535309,
    0.07351943105459213,
    0.08709322661161423,
    0.09588421136140823,
    0.10510868579149246,
    0.12718112766742706,
    0.1390867978334427,
    0.14762984216213226,
    0.15734979510307312,
    0.14518630504608154,
    0.14138543605804443,
    0.14595970511436462,
    0.14318813383579254,
    0.14970789849758148,
    0.1423337608575821,
    0.1377788633108139,
    0.1501021385192871,
    0.15134714543819427,
    0.1606968641281128,
    0.1598186194896698,
    0.1525839865207672,
    0.16696541011333466,
    0.1664351224899292,
    0.18944047391414642,
    0.19363971054553986,
    0.2016330361366272,
    0.216086283326149,
    0.23233766853809357,
    0.2680969834327698,
    0.27870237827301025,
    0.2719401717185974,
    0.2705216109752655,
    0.27072784304618835,
    0.26921868324279785,
    0.27895015478134155,
    0.2883795499801636,
    0.28367409110069275,
    0.28618571162223816,
    0.2967270314693451,
    0.30683812499046326,
    0.32444196939468384,
    0.3490188717842102,
    0.3542274534702301,
    0.3544505536556244,
    0.3640359938144684,
    0.38553690910339355,
    0.38962966203689575,
    0.37276214361190796,
    0.35648608207702637,
    0.340766042470932,
    0.3395173251628876,
    0.32074543833732605,
    0.31519463658332825,
    0.29875147342681885,
    0.2984197735786438,
    0.290961354970932,
    0.25836241245269775,
    0.1943420022726059
  ],
  "sequence_id": "tr|H3BRD5|H3BRD5_HUMAN",
  "sequence_id_short": "H3BRD5",
  "backbone_mean": 0.802572161936561,
  "backbone_median": 0.7989000000000002,
  "backbone_variance": 0.008696659784217606,
  "backbone_stdev": 0.09325588337589005,
  "backbone_pvariance": 0.008693030126544729,
  "backbone_pstdev": 0.09323642060131185,
  "backbone_min": 0.5311,
  "backbone_max": 1.0458,
  "sidechain_mean": 0.49309718280467446,
  "sidechain_median": 0.5222500000000001,
  "sidechain_variance": 0.0144649906841269,
  "sidechain_stdev": 0.12027048966445135,
  "sidechain_pvariance": 0.014458953542772922,
  "sidechain_pstdev": 0.12024538886282884,
  "sidechain_min": 0.2126000000000001,
  "sidechain_max": 0.7645000000000001,
  "ppII_mean": 0.08116003594948959,
  "ppII_median": 0.07939246157184243,
  "ppII_variance": 0.0018025930826171207,
  "ppII_stdev": 0.042456955644712926,
  "ppII_pvariance": 0.0018018407482754608,
  "ppII_pstdev": 0.04244809475436396,
  "ppII_min": -0.025007212068885565,
  "ppII_max": 0.26359010813757777,
  "coil_mean": 0.35862710382260743,
  "coil_median": 0.3563949167728424,
  "coil_variance": 0.012538522748333385,
  "coil_stdev": 0.11197554531384692,
  "coil_pvariance": 0.012533289642011041,
  "coil_pstdev": 0.11195217569127917,
  "coil_min": 0.033308446407318115,
  "coil_max": 0.7645172029733658,
  "sheet_mean": 0.23027047115643953,
  "sheet_median": 0.22254958748817444,
  "sheet_variance": 0.016256991442049396,
  "sheet_stdev": 0.1275029075827269,
  "sheet_pvariance": 0.016250206387190446,
  "sheet_pstdev": 0.1274762973544119,
  "sheet_min": -0.10733422636985779,
  "sheet_max": 0.6555219888687134,
  "helix_mean": 0.4157860124796996,
  "helix_median": 0.40969211980700493,
  "helix_variance": 0.0314083440532364,
  "helix_stdev": 0.17722399401107175,
  "helix_pvariance": 0.03139523539545124,
  "helix_pstdev": 0.17718700684714792,
  "helix_min": -0.3179762912914157,
  "helix_max": 0.887796126306057,
  "earlyFolding_mean": 0.0704169817105579,
  "earlyFolding_median": 0.03630527186822347,
  "earlyFolding_variance": 0.007715002324473989,
  "earlyFolding_stdev": 0.08783508595358684,
  "earlyFolding_pvariance": 0.007711782373587314,
  "earlyFolding_pstdev": 0.08781675451522514,
  "earlyFolding_min": 0.0009548285851146877,
  "earlyFolding_max": 0.5909686714559423,
  "agmata_mean": 0.18456622481449525,
  "agmata_median": 4.8875025000000004e-05,
  "agmata_variance": 2.6741145767226078,
  "agmata_stdev": 1.635272019182927,
  "agmata_pvariance": 2.6729985021914215,
  "agmata_pstdev": 1.6349307331478669,
  "agmata_min": 0.0,
  "agmata_max": 30.21069,
  "disoMine_mean": 0.08724176329684961,
  "disoMine_median": 0.03974336013197899,
  "disoMine_variance": 0.009795987360991907,
  "disoMine_stdev": 0.09897468040358558,
  "disoMine_pvariance": 0.009791898885465616,
  "disoMine_pstdev": 0.09895402409940496,
  "disoMine_min": 0.008116968907415867,
  "disoMine_max": 0.4322075843811035,
  "complexity_mean": 7.98330550918197,
  "complexity_median": 8.0,
  "complexity_variance": 1.453583390550012,
  "complexity_stdev": 1.2056464616752343,
  "complexity_pvariance": 1.4529767196858425,
  "complexity_pstdev": 1.2053948397458165,
  "complexity_min": 4.0,
  "complexity_max": 11.0,
  "arg_mean": 0.7666944908180301,
  "arg_median": 1.0,
  "arg_variance": 0.8411616786502208,
  "arg_stdev": 0.9171486676925508,
  "arg_pvariance": 0.8408106095022032,
  "arg_pstdev": 0.916957256093327,
  "arg_min": 0.0,
  "arg_max": 5.0,
  "tyr_mean": 0.3259599332220367,
  "tyr_median": 0.0,
  "tyr_variance": 0.3467328986027513,
  "tyr_stdev": 0.5888402997441253,
  "tyr_pvariance": 0.3465881853729505,
  "tyr_pstdev": 0.5887174070578773,
  "tyr_min": 0.0,
  "tyr_max": 3.0,
  "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": 1.4490818030050083,
  "disorder_median": 1.0,
  "disorder_variance": 0.660871807919253,
  "disorder_stdev": 0.8129402240750873,
  "disorder_pvariance": 0.660595984961023,
  "disorder_pstdev": 0.8127705610816763,
  "disorder_min": 1.0,
  "disorder_max": 4.0
}