{
  "seq": [
    "M",
    "M",
    "P",
    "Q",
    "K",
    "K",
    "R",
    "R",
    "R",
    "K",
    "K",
    "D",
    "I",
    "D",
    "F",
    "L",
    "A",
    "L",
    "Y",
    "E",
    "A",
    "E",
    "L",
    "L",
    "N",
    "Y",
    "A",
    "S",
    "E",
    "D",
    "D",
    "E",
    "G",
    "E",
    "L",
    "E",
    "H",
    "E",
    "Y",
    "Y",
    "K",
    "A",
    "R",
    "V",
    "Y",
    "E",
    "V",
    "V",
    "T",
    "A",
    "T",
    "G",
    "D",
    "V",
    "R",
    "G",
    "A",
    "G",
    "T",
    "D",
    "A",
    "N",
    "V",
    "F",
    "I",
    "T",
    "L",
    "F",
    "G",
    "E",
    "N",
    "G",
    "L",
    "S",
    "P",
    "K",
    "L",
    "Q",
    "L",
    "T",
    "S",
    "K",
    "S",
    "K",
    "S",
    "A",
    "F",
    "E",
    "K",
    "G",
    "N",
    "V",
    "D",
    "V",
    "F",
    "R",
    "V",
    "R",
    "T",
    "N",
    "N",
    "V",
    "G",
    "L",
    "I",
    "Y",
    "K",
    "V",
    "R",
    "I",
    "E",
    "H",
    "D",
    "N",
    "T",
    "G",
    "L",
    "N",
    "A",
    "S",
    "W",
    "Y",
    "L",
    "D",
    "H",
    "V",
    "I",
    "V",
    "T",
    "D",
    "M",
    "K",
    "R",
    "P",
    "H",
    "L",
    "R",
    "Y",
    "Y",
    "F",
    "N",
    "C",
    "N",
    "N",
    "W",
    "L",
    "S",
    "K",
    "V",
    "E",
    "G",
    "D",
    "R",
    "Q",
    "W",
    "C",
    "R",
    "D",
    "L",
    "L",
    "A",
    "S",
    "F",
    "N",
    "P",
    "M",
    "D",
    "M",
    "P",
    "R",
    "G",
    "N",
    "K",
    "Y",
    "E",
    "V",
    "K",
    "V",
    "Y",
    "T",
    "G",
    "D",
    "V",
    "I",
    "G",
    "A",
    "G",
    "T",
    "D",
    "A",
    "D",
    "V",
    "F",
    "I",
    "N",
    "I",
    "F",
    "G",
    "E",
    "Y",
    "G",
    "D",
    "T",
    "G",
    "E",
    "R",
    "R",
    "L",
    "E",
    "N",
    "E",
    "K",
    "D",
    "N",
    "F",
    "E",
    "K",
    "G",
    "A",
    "E",
    "D",
    "R",
    "F",
    "I",
    "L",
    "D",
    "A",
    "P",
    "D",
    "L",
    "G",
    "Q",
    "L",
    "M",
    "K",
    "I",
    "N",
    "V",
    "G",
    "H",
    "N",
    "N",
    "K",
    "G",
    "G",
    "S",
    "A",
    "G",
    "W",
    "F",
    "L",
    "S",
    "Q",
    "I",
    "V",
    "I",
    "E",
    "D",
    "I",
    "G",
    "N",
    "K",
    "R",
    "K",
    "Y",
    "D",
    "F",
    "P",
    "L",
    "N",
    "R",
    "W",
    "L",
    "A",
    "L",
    "D",
    "E",
    "D",
    "D",
    "G",
    "K",
    "I",
    "Q",
    "R",
    "D",
    "I",
    "L",
    "V",
    "G",
    "G",
    "A",
    "E",
    "T",
    "T",
    "A",
    "I",
    "T",
    "Y",
    "I",
    "V",
    "T",
    "V",
    "F",
    "T",
    "G",
    "D",
    "V",
    "R",
    "G",
    "A",
    "G",
    "T",
    "K",
    "S",
    "K",
    "I",
    "Y",
    "L",
    "V",
    "M",
    "Y",
    "G",
    "A",
    "R",
    "G",
    "N",
    "K",
    "N",
    "S",
    "G",
    "K",
    "I",
    "F",
    "L",
    "E",
    "G",
    "G",
    "V",
    "F",
    "D",
    "R",
    "G",
    "R",
    "T",
    "D",
    "I",
    "F",
    "H",
    "I",
    "E",
    "L",
    "A",
    "V",
    "L",
    "L",
    "S",
    "P",
    "L",
    "S",
    "R",
    "V",
    "S",
    "V",
    "G",
    "H",
    "G",
    "N",
    "V",
    "G",
    "V",
    "N",
    "R",
    "G",
    "W",
    "F",
    "C",
    "E",
    "K",
    "V",
    "V",
    "I",
    "L",
    "C",
    "P",
    "F",
    "T",
    "G",
    "I",
    "Q",
    "Q",
    "T",
    "F",
    "P",
    "C",
    "S",
    "N",
    "W",
    "L",
    "D",
    "E",
    "K",
    "K",
    "A",
    "D",
    "G",
    "L",
    "I",
    "E",
    "R",
    "Q",
    "L",
    "Y",
    "E",
    "M",
    "V",
    "S",
    "L",
    "R",
    "K",
    "K",
    "R",
    "L",
    "K",
    "K",
    "F",
    "P",
    "W",
    "S",
    "L",
    "W",
    "V",
    "W",
    "T",
    "T",
    "D",
    "L",
    "K",
    "K",
    "A",
    "G",
    "T",
    "N",
    "S",
    "P",
    "I",
    "F",
    "I",
    "Q",
    "I",
    "Y",
    "G",
    "Q",
    "K",
    "G",
    "R",
    "T",
    "D",
    "E",
    "I",
    "L",
    "L",
    "N",
    "P",
    "N",
    "N",
    "K",
    "W",
    "F",
    "K",
    "P",
    "G",
    "I",
    "I",
    "E",
    "K",
    "F",
    "R",
    "I",
    "E",
    "L",
    "P",
    "D",
    "L",
    "G",
    "R",
    "F",
    "Y",
    "K",
    "I",
    "R",
    "V",
    "W",
    "H",
    "D",
    "K",
    "R",
    "S",
    "S",
    "G",
    "S",
    "G",
    "W",
    "H",
    "L",
    "E",
    "R",
    "M",
    "T",
    "L",
    "M",
    "N",
    "T",
    "L",
    "N",
    "K",
    "D",
    "K",
    "Y",
    "N",
    "F",
    "N",
    "C",
    "N",
    "R",
    "W",
    "L",
    "D",
    "A",
    "N",
    "E",
    "D",
    "D",
    "N",
    "E",
    "I",
    "V",
    "R",
    "E",
    "M",
    "T",
    "A",
    "E",
    "G",
    "P",
    "T",
    "V",
    "R",
    "R",
    "I",
    "M",
    "G",
    "M",
    "A",
    "R",
    "Y",
    "H",
    "V",
    "T",
    "V",
    "C",
    "T",
    "G",
    "E",
    "L",
    "E",
    "G",
    "A",
    "G",
    "T",
    "D",
    "A",
    "N",
    "V",
    "Y",
    "L",
    "C",
    "L",
    "F",
    "G",
    "D",
    "V",
    "G",
    "D",
    "T",
    "G",
    "E",
    "R",
    "L",
    "L",
    "Y",
    "N",
    "C",
    "R",
    "N",
    "N",
    "T",
    "D",
    "L",
    "F",
    "E",
    "K",
    "G",
    "N",
    "A",
    "D",
    "E",
    "F",
    "T",
    "I",
    "E",
    "S",
    "V",
    "T",
    "M",
    "R",
    "N",
    "V",
    "R",
    "R",
    "V",
    "R",
    "I",
    "R",
    "H",
    "D",
    "G",
    "K",
    "G",
    "S",
    "G",
    "S",
    "G",
    "W",
    "Y",
    "L",
    "D",
    "R",
    "V",
    "L",
    "V",
    "R",
    "E",
    "E",
    "G",
    "Q",
    "P",
    "E",
    "S",
    "D",
    "N",
    "V",
    "E",
    "F",
    "P",
    "C",
    "L",
    "R",
    "W",
    "L",
    "D",
    "K",
    "D",
    "K",
    "D",
    "D",
    "G",
    "Q",
    "L",
    "V",
    "R",
    "E",
    "L",
    "L",
    "P",
    "S",
    "D",
    "S",
    "S",
    "A",
    "T",
    "L",
    "K",
    "N",
    "F",
    "R",
    "Y",
    "H",
    "I",
    "S",
    "L",
    "K",
    "T",
    "G",
    "D",
    "V",
    "S",
    "G",
    "A",
    "S",
    "T",
    "D",
    "S",
    "R",
    "V",
    "Y",
    "I",
    "K",
    "L",
    "Y",
    "G",
    "D",
    "K",
    "S",
    "D",
    "T",
    "I",
    "K",
    "Q",
    "V",
    "L",
    "L",
    "V",
    "S",
    "D",
    "N",
    "N",
    "L",
    "K",
    "D",
    "Y",
    "F",
    "E",
    "R",
    "G",
    "R",
    "V",
    "D",
    "E",
    "F",
    "T",
    "L",
    "E",
    "T",
    "L",
    "N",
    "I",
    "G",
    "N",
    "I",
    "N",
    "R",
    "L",
    "V",
    "I",
    "G",
    "H",
    "D",
    "S",
    "T",
    "G",
    "M",
    "H",
    "A",
    "S",
    "W",
    "F",
    "L",
    "G",
    "S",
    "V",
    "Q",
    "I",
    "R",
    "V",
    "P",
    "R",
    "Q",
    "G",
    "K",
    "Q",
    "Y",
    "T",
    "F",
    "P",
    "A",
    "N",
    "R",
    "W",
    "L",
    "D",
    "K",
    "N",
    "Q",
    "A",
    "D",
    "G",
    "R",
    "L",
    "E",
    "V",
    "E",
    "L",
    "Y",
    "P",
    "S",
    "E",
    "V",
    "V",
    "E",
    "I",
    "Q",
    "K",
    "L",
    "V",
    "H",
    "Y",
    "E",
    "V",
    "E",
    "I",
    "W",
    "T",
    "G",
    "D",
    "V",
    "G",
    "G",
    "A",
    "G",
    "T",
    "S",
    "A",
    "R",
    "V",
    "Y",
    "M",
    "Q",
    "I",
    "Y",
    "G",
    "E",
    "K",
    "G",
    "K",
    "T",
    "E",
    "V",
    "L",
    "F",
    "L",
    "S",
    "S",
    "R",
    "S",
    "K",
    "V",
    "F",
    "E",
    "R",
    "A",
    "S",
    "K",
    "D",
    "T",
    "F",
    "Q",
    "L",
    "E",
    "A",
    "A",
    "D",
    "V",
    "G",
    "E",
    "V",
    "Y",
    "K",
    "L",
    "R",
    "L",
    "G",
    "H",
    "T",
    "G",
    "E",
    "G",
    "F",
    "G",
    "P",
    "S",
    "W",
    "F",
    "V",
    "D",
    "T",
    "V",
    "W",
    "L",
    "R",
    "H",
    "L",
    "V",
    "V",
    "R",
    "E",
    "V",
    "D",
    "L",
    "T",
    "P",
    "E",
    "E",
    "E",
    "A",
    "R",
    "K",
    "K",
    "K",
    "E",
    "K",
    "D",
    "K",
    "L",
    "R",
    "Q",
    "L",
    "L",
    "K",
    "K",
    "E",
    "R",
    "L",
    "K",
    "A",
    "K",
    "L",
    "Q",
    "R",
    "K",
    "K",
    "K",
    "K",
    "R",
    "K",
    "G",
    "S",
    "D",
    "E",
    "E",
    "D",
    "E",
    "G",
    "E",
    "E",
    "E",
    "E",
    "S",
    "S",
    "S",
    "S",
    "E",
    "E",
    "S",
    "S",
    "S",
    "E",
    "E",
    "E",
    "E",
    "M",
    "E",
    "E",
    "E",
    "E",
    "E",
    "E",
    "E",
    "E",
    "F",
    "G",
    "P",
    "G",
    "M",
    "Q",
    "E",
    "V",
    "I",
    "E",
    "Q",
    "H",
    "K",
    "F",
    "E",
    "A",
    "H",
    "R",
    "W",
    "L",
    "A",
    "R",
    "G",
    "K",
    "E",
    "D",
    "N",
    "E",
    "L",
    "V",
    "V",
    "E",
    "L",
    "V",
    "P",
    "A",
    "G",
    "K",
    "P",
    "G",
    "P",
    "E",
    "R",
    "N",
    "T",
    "Y",
    "E",
    "V",
    "Q",
    "V",
    "V",
    "T",
    "G",
    "N",
    "V",
    "P",
    "K",
    "A",
    "G",
    "T",
    "D",
    "A",
    "N",
    "V",
    "Y",
    "L",
    "T",
    "I",
    "Y",
    "G",
    "E",
    "E",
    "Y",
    "G",
    "D",
    "T",
    "G",
    "E",
    "R",
    "P",
    "L",
    "K",
    "K",
    "S",
    "D",
    "K",
    "S",
    "N",
    "K",
    "F",
    "E",
    "Q",
    "G",
    "Q",
    "T",
    "D",
    "T",
    "F",
    "T",
    "I",
    "Y",
    "A",
    "I",
    "D",
    "L",
    "G",
    "A",
    "L",
    "T",
    "K",
    "I",
    "R",
    "I",
    "R",
    "H",
    "D",
    "N",
    "T",
    "G",
    "N",
    "R",
    "A",
    "G",
    "W",
    "F",
    "L",
    "D",
    "R",
    "I",
    "D",
    "I",
    "T",
    "D",
    "M",
    "N",
    "N",
    "E",
    "I",
    "T",
    "Y",
    "Y",
    "F",
    "P",
    "C",
    "Q",
    "R",
    "W",
    "L",
    "A",
    "V",
    "E",
    "E",
    "D",
    "D",
    "G",
    "Q",
    "L",
    "S",
    "R",
    "E",
    "L",
    "L",
    "P",
    "V",
    "D",
    "E",
    "S",
    "Y",
    "V",
    "L",
    "P",
    "Q",
    "S",
    "E",
    "E",
    "G",
    "R",
    "G",
    "G",
    "G",
    "D",
    "N",
    "N",
    "P",
    "L",
    "D",
    "N",
    "L",
    "A",
    "L",
    "E",
    "Q",
    "K",
    "D",
    "K",
    "S",
    "T",
    "T",
    "F",
    "S",
    "V",
    "T",
    "I",
    "K",
    "T",
    "G",
    "V",
    "K",
    "K",
    "N",
    "A",
    "G",
    "T",
    "D",
    "A",
    "N",
    "V",
    "F",
    "I",
    "T",
    "L",
    "F",
    "G",
    "T",
    "Q",
    "D",
    "D",
    "T",
    "G",
    "M",
    "T",
    "L",
    "L",
    "K",
    "S",
    "S",
    "K",
    "T",
    "N",
    "S",
    "D",
    "K",
    "F",
    "E",
    "R",
    "D",
    "S",
    "I",
    "E",
    "I",
    "F",
    "T",
    "V",
    "E",
    "T",
    "L",
    "D",
    "L",
    "G",
    "D",
    "L",
    "W",
    "K",
    "V",
    "R",
    "L",
    "G",
    "H",
    "D",
    "N",
    "T",
    "G",
    "K",
    "A",
    "P",
    "G",
    "W",
    "F",
    "V",
    "D",
    "W",
    "V",
    "E",
    "V",
    "D",
    "A",
    "P",
    "S",
    "L",
    "G",
    "K",
    "C",
    "M",
    "T",
    "F",
    "P",
    "C",
    "G",
    "R",
    "W",
    "L",
    "A",
    "K",
    "N",
    "E",
    "D",
    "D",
    "G",
    "S",
    "I",
    "I",
    "R",
    "D",
    "L",
    "F",
    "H",
    "A",
    "E",
    "L",
    "Q",
    "T",
    "R",
    "L",
    "Y",
    "T",
    "P",
    "F",
    "V",
    "P",
    "Y",
    "E",
    "I",
    "T",
    "L",
    "Y",
    "T",
    "S",
    "D",
    "V",
    "F",
    "A",
    "A",
    "G",
    "T",
    "D",
    "A",
    "N",
    "I",
    "F",
    "I",
    "I",
    "I",
    "Y",
    "G",
    "C",
    "D",
    "A",
    "V",
    "C",
    "T",
    "Q",
    "Q",
    "K",
    "Y",
    "L",
    "C",
    "T",
    "N",
    "K",
    "R",
    "E",
    "Q",
    "K",
    "Q",
    "F",
    "F",
    "E",
    "R",
    "K",
    "S",
    "A",
    "S",
    "R",
    "F",
    "I",
    "V",
    "E",
    "L",
    "E",
    "D",
    "V",
    "G",
    "E",
    "I",
    "I",
    "E",
    "K",
    "I",
    "R",
    "I",
    "G",
    "H",
    "N",
    "N",
    "T",
    "G",
    "M",
    "N",
    "P",
    "G",
    "W",
    "H",
    "C",
    "S",
    "H",
    "V",
    "D",
    "I",
    "R",
    "R",
    "L",
    "L",
    "P",
    "D",
    "K",
    "D",
    "G",
    "A",
    "E",
    "T",
    "L",
    "T",
    "F",
    "P",
    "C",
    "D",
    "R",
    "W",
    "L",
    "A",
    "T",
    "S",
    "E",
    "D",
    "D",
    "K",
    "K",
    "T",
    "I",
    "R",
    "E",
    "L",
    "V",
    "P",
    "Y",
    "D",
    "I",
    "F",
    "T",
    "E",
    "K",
    "Y",
    "M",
    "K",
    "D",
    "G",
    "S",
    "L",
    "R",
    "Q",
    "V",
    "Y",
    "K",
    "E",
    "V",
    "E",
    "E",
    "P",
    "L",
    "D",
    "I",
    "V",
    "L",
    "Y",
    "S",
    "V",
    "Q",
    "I",
    "F",
    "T",
    "G",
    "N",
    "I",
    "P",
    "G",
    "A",
    "G",
    "T",
    "D",
    "A",
    "K",
    "V",
    "Y",
    "I",
    "T",
    "I",
    "Y",
    "G",
    "D",
    "L",
    "G",
    "D",
    "T",
    "G",
    "E",
    "R",
    "Y",
    "L",
    "G",
    "K",
    "S",
    "E",
    "N",
    "R",
    "T",
    "N",
    "K",
    "F",
    "E",
    "R",
    "G",
    "T",
    "A",
    "D",
    "T",
    "F",
    "I",
    "I",
    "E",
    "A",
    "A",
    "D",
    "L",
    "G",
    "V",
    "I",
    "Y",
    "K",
    "I",
    "K",
    "L",
    "R",
    "H",
    "D",
    "N",
    "S",
    "K",
    "W",
    "C",
    "A",
    "D",
    "W",
    "Y",
    "V",
    "E",
    "K",
    "V",
    "E",
    "I",
    "W",
    "N",
    "D",
    "T",
    "N",
    "E",
    "D",
    "E",
    "F",
    "L",
    "F",
    "L",
    "C",
    "G",
    "R",
    "W",
    "L",
    "S",
    "L",
    "K",
    "K",
    "E",
    "D",
    "G",
    "R",
    "L",
    "E",
    "R",
    "L",
    "F",
    "Y",
    "E",
    "K",
    "E",
    "Y",
    "T",
    "G",
    "D",
    "R",
    "S",
    "S",
    "N",
    "C",
    "S",
    "S",
    "P",
    "A",
    "D",
    "F",
    "W",
    "E",
    "I",
    "A",
    "L",
    "S",
    "S",
    "K",
    "M",
    "A",
    "D",
    "V",
    "D",
    "I",
    "S",
    "T",
    "V",
    "T",
    "G",
    "P",
    "M",
    "A",
    "D",
    "Y",
    "V",
    "Q",
    "E",
    "G",
    "P",
    "I",
    "I",
    "P",
    "Y",
    "Y",
    "V",
    "S",
    "V",
    "T",
    "T",
    "G",
    "K",
    "H",
    "K",
    "D",
    "A",
    "A",
    "T",
    "D",
    "S",
    "R",
    "A",
    "F",
    "I",
    "F",
    "L",
    "I",
    "G",
    "E",
    "D",
    "D",
    "E",
    "R",
    "S",
    "K",
    "R",
    "I",
    "W",
    "L",
    "D",
    "Y",
    "P",
    "R",
    "G",
    "K",
    "R",
    "G",
    "F",
    "S",
    "R",
    "G",
    "S",
    "V",
    "E",
    "E",
    "F",
    "Y",
    "V",
    "A",
    "G",
    "L",
    "D",
    "V",
    "G",
    "I",
    "I",
    "K",
    "K",
    "I",
    "E",
    "V",
    "L",
    "Y",
    "E",
    "M",
    "T",
    "V",
    "W",
    "T",
    "G",
    "D",
    "V",
    "V",
    "G",
    "G",
    "G",
    "T",
    "D",
    "S",
    "N",
    "I",
    "F",
    "M",
    "T",
    "L",
    "Y",
    "G",
    "I",
    "N",
    "G",
    "S",
    "T",
    "E",
    "E",
    "M",
    "Q",
    "L",
    "D",
    "K",
    "K",
    "K",
    "A",
    "R",
    "F",
    "E",
    "R",
    "E",
    "Q",
    "N",
    "D",
    "T",
    "F",
    "I",
    "M",
    "E",
    "I",
    "L",
    "D",
    "I",
    "A",
    "P",
    "F",
    "T",
    "K",
    "M",
    "R",
    "I",
    "R",
    "I",
    "D",
    "G",
    "L",
    "G",
    "S",
    "R",
    "P",
    "E",
    "W",
    "F",
    "L",
    "E",
    "R",
    "I",
    "L",
    "L",
    "K",
    "N",
    "M",
    "N",
    "T",
    "G",
    "D",
    "L",
    "T",
    "M",
    "F",
    "Y",
    "Y",
    "G",
    "D",
    "W",
    "L",
    "S",
    "Q",
    "R",
    "K",
    "G",
    "K",
    "K",
    "T",
    "L",
    "V",
    "C",
    "E",
    "M",
    "C",
    "A",
    "V",
    "I",
    "D",
    "E",
    "E",
    "E",
    "M",
    "M",
    "E",
    "W",
    "T",
    "S",
    "Y",
    "T",
    "V",
    "A",
    "V",
    "K",
    "T",
    "S",
    "D",
    "I",
    "L",
    "G",
    "A",
    "G",
    "T",
    "D",
    "A",
    "N",
    "V",
    "F",
    "I",
    "I",
    "I",
    "F",
    "G",
    "E",
    "N",
    "G",
    "D",
    "S",
    "G",
    "T",
    "L",
    "A",
    "L",
    "K",
    "Q",
    "S",
    "A",
    "N",
    "W",
    "N",
    "K",
    "F",
    "E",
    "R",
    "N",
    "N",
    "T",
    "D",
    "T",
    "F",
    "N",
    "F",
    "P",
    "D",
    "M",
    "L",
    "S",
    "L",
    "G",
    "H",
    "L",
    "C",
    "K",
    "L",
    "R",
    "V",
    "W",
    "H",
    "D",
    "N",
    "K",
    "G",
    "I",
    "F",
    "P",
    "G",
    "W",
    "H",
    "L",
    "S",
    "Y",
    "V",
    "D",
    "V",
    "K",
    "D",
    "N",
    "S",
    "R",
    "D",
    "E",
    "T",
    "F",
    "H",
    "F",
    "Q",
    "C",
    "D",
    "C",
    "W",
    "L",
    "S",
    "K",
    "S",
    "E",
    "G",
    "D",
    "G",
    "Q",
    "T",
    "V",
    "R",
    "D",
    "F",
    "A",
    "C",
    "A",
    "N",
    "N",
    "K",
    "I",
    "C",
    "D",
    "E",
    "L",
    "E",
    "E",
    "T",
    "T",
    "Y",
    "E",
    "I",
    "V",
    "I",
    "E",
    "T",
    "G",
    "N",
    "G",
    "G",
    "E",
    "T",
    "R",
    "E",
    "N",
    "V",
    "W",
    "L",
    "I",
    "L",
    "E",
    "G",
    "R",
    "K",
    "N",
    "R",
    "S",
    "K",
    "E",
    "F",
    "L",
    "M",
    "E",
    "N",
    "S",
    "S",
    "R",
    "Q",
    "R",
    "A",
    "F",
    "R",
    "K",
    "G",
    "T",
    "T",
    "D",
    "T",
    "F",
    "E",
    "F",
    "D",
    "S",
    "I",
    "Y",
    "L",
    "G",
    "D",
    "I",
    "A",
    "S",
    "L",
    "C",
    "V",
    "G",
    "H",
    "L",
    "A",
    "R",
    "E",
    "D",
    "R",
    "F",
    "I",
    "P",
    "K",
    "R",
    "E",
    "L",
    "A",
    "W",
    "H",
    "V",
    "K",
    "T",
    "I",
    "T",
    "I",
    "T",
    "E",
    "M",
    "E",
    "Y",
    "G",
    "N",
    "V",
    "Y",
    "F",
    "F",
    "N",
    "C",
    "D",
    "C",
    "L",
    "I",
    "P",
    "L",
    "K",
    "R",
    "K",
    "R",
    "K",
    "Y",
    "F",
    "K",
    "V",
    "F",
    "E",
    "V",
    "T",
    "K",
    "T",
    "T",
    "E",
    "S",
    "F",
    "A",
    "S",
    "K",
    "V",
    "Q",
    "S",
    "L",
    "V",
    "P",
    "V",
    "K",
    "Y",
    "E",
    "V",
    "I",
    "V",
    "T",
    "T",
    "G",
    "Y",
    "E",
    "P",
    "G",
    "A",
    "G",
    "T",
    "D",
    "A",
    "N",
    "V",
    "F",
    "V",
    "T",
    "I",
    "F",
    "G",
    "A",
    "N",
    "G",
    "D",
    "T",
    "G",
    "K",
    "R",
    "E",
    "L",
    "K",
    "Q",
    "K",
    "M",
    "R",
    "N",
    "L",
    "F",
    "E",
    "R",
    "G",
    "S",
    "T",
    "D",
    "R",
    "F",
    "F",
    "L",
    "E",
    "T",
    "L",
    "E",
    "L",
    "G",
    "E",
    "L",
    "R",
    "K",
    "V",
    "R",
    "L",
    "E",
    "H",
    "D",
    "S",
    "S",
    "G",
    "Y",
    "C",
    "S",
    "G",
    "W",
    "L",
    "V",
    "E",
    "K",
    "V",
    "E",
    "V",
    "T",
    "N",
    "T",
    "S",
    "T",
    "G",
    "V",
    "A",
    "T",
    "I",
    "F",
    "N",
    "C",
    "G",
    "R",
    "W",
    "L",
    "D",
    "K",
    "K",
    "R",
    "G",
    "D",
    "G",
    "L",
    "T",
    "W",
    "R",
    "D",
    "L",
    "F",
    "P",
    "S",
    "V"
  ],
  "backbone": [
    0.7403999999999998,
    0.7425999999999999,
    0.7405999999999999,
    0.7426999999999998,
    0.7471999999999998,
    0.7519999999999998,
    0.7571999999999999,
    0.7622999999999998,
    0.76635,
    0.7789500000000001,
    0.7985000000000001,
    0.8350500000000002,
    0.85205,
    0.8743000000000002,
    0.8769499999999998,
    0.87355,
    0.87475,
    0.8771999999999999,
    0.8939000000000001,
    0.9073000000000001,
    0.8877500000000002,
    0.8689999999999997,
    0.8470999999999999,
    0.8243,
    0.8203999999999997,
    0.7977,
    0.7813,
    0.763,
    0.7596999999999998,
    0.7567,
    0.7461000000000001,
    0.7267000000000001,
    0.7111,
    0.7296999999999999,
    0.7683999999999997,
    0.8195,
    0.8616,
    0.8838000000000001,
    0.8947,
    0.8990000000000001,
    0.8849000000000002,
    0.8738999999999999,
    0.8802,
    0.8976,
    0.8988000000000002,
    0.9053000000000002,
    0.8968,
    0.8903000000000001,
    0.8660000000000001,
    0.8345000000000002,
    0.8116999999999999,
    0.7915000000000001,
    0.7919999999999999,
    0.7789000000000003,
    0.76,
    0.7326999999999999,
    0.7224999999999999,
    0.7497999999999999,
    0.7984000000000002,
    0.8427,
    0.8682000000000001,
    0.8997999999999998,
    0.9315999999999998,
    0.9629999999999999,
    0.9716999999999998,
    0.9556000000000003,
    0.9240999999999998,
    0.8781,
    0.8331000000000001,
    0.8018000000000001,
    0.7613000000000001,
    0.7586000000000002,
    0.7563000000000002,
    0.7705000000000003,
    0.7774999999999999,
    0.7789,
    0.7895000000000002,
    0.7903000000000001,
    0.7983000000000003,
    0.7879000000000002,
    0.7799999999999998,
    0.7617000000000002,
    0.7470999999999999,
    0.7320000000000003,
    0.7264999999999998,
    0.7399000000000002,
    0.7529999999999999,
    0.7562999999999999,
    0.7465000000000002,
    0.7437,
    0.786,
    0.8398000000000001,
    0.8830000000000001,
    0.9032000000000002,
    0.9015,
    0.8972,
    0.8994000000000002,
    0.8776,
    0.8596,
    0.8494999999999999,
    0.8465999999999999,
    0.8560000000000001,
    0.8736,
    0.9173,
    0.9429,
    0.9617000000000001,
    0.9598999999999998,
    0.944,
    0.9190000000000003,
    0.9016000000000003,
    0.881,
    0.8627,
    0.8395999999999998,
    0.8139999999999998,
    0.7895000000000001,
    0.7611000000000001,
    0.7752000000000001,
    0.7894,
    0.8268000000000004,
    0.8543000000000002,
    0.8803000000000003,
    0.9217,
    0.9475000000000001,
    0.9876999999999998,
    0.9814,
    0.9702999999999999,
    0.9564000000000001,
    0.9508999999999999,
    0.9310000000000002,
    0.8992000000000001,
    0.8652000000000002,
    0.8404000000000001,
    0.8436000000000001,
    0.8608,
    0.8856,
    0.9117,
    0.9356,
    0.9582999999999999,
    0.9607000000000003,
    0.9400000000000001,
    0.9231999999999998,
    0.9052,
    0.8797,
    0.8742999999999997,
    0.8535999999999997,
    0.8634999999999999,
    0.8607000000000001,
    0.8429000000000001,
    0.8398,
    0.83,
    0.8393,
    0.8485000000000004,
    0.8626999999999999,
    0.88,
    0.8922000000000001,
    0.9357000000000004,
    0.9364000000000001,
    0.9382,
    0.9131,
    0.8924000000000002,
    0.8817000000000003,
    0.8523999999999997,
    0.8335000000000002,
    0.8064999999999999,
    0.7842999999999999,
    0.7652999999999999,
    0.7629,
    0.7470000000000001,
    0.7286,
    0.7089000000000001,
    0.7157000000000001,
    0.7494999999999999,
    0.7957999999999998,
    0.835,
    0.8677000000000002,
    0.8771000000000001,
    0.871,
    0.8705,
    0.8650000000000001,
    0.8631000000000001,
    0.8511000000000002,
    0.8337000000000002,
    0.8188000000000001,
    0.7994,
    0.7656999999999999,
    0.7468999999999999,
    0.7577000000000004,
    0.8026000000000002,
    0.8484000000000002,
    0.8955000000000002,
    0.9114000000000004,
    0.9327000000000001,
    0.9511999999999998,
    0.9543000000000001,
    0.9381999999999997,
    0.9128000000000001,
    0.8729,
    0.8391,
    0.8172,
    0.7890999999999999,
    0.7834000000000001,
    0.7833000000000001,
    0.7736000000000002,
    0.7571,
    0.7640000000000002,
    0.7736999999999999,
    0.7813999999999999,
    0.7849,
    0.7763999999999999,
    0.7619,
    0.7636999999999999,
    0.7635000000000003,
    0.7724999999999999,
    0.7677,
    0.7703000000000001,
    0.7556999999999997,
    0.7511000000000002,
    0.7442000000000002,
    0.7793,
    0.8220000000000002,
    0.8577,
    0.8589999999999999,
    0.8678999999999999,
    0.8667999999999999,
    0.8753000000000001,
    0.8629000000000001,
    0.8442999999999998,
    0.8204000000000001,
    0.8089000000000003,
    0.7918999999999998,
    0.7860000000000003,
    0.7916000000000001,
    0.8099000000000001,
    0.8255,
    0.8384000000000001,
    0.8229999999999998,
    0.7978000000000002,
    0.7715000000000002,
    0.7389,
    0.7288999999999998,
    0.6954000000000001,
    0.6754999999999998,
    0.6511999999999999,
    0.6352,
    0.6486999999999999,
    0.6748999999999999,
    0.7204000000000005,
    0.7733000000000002,
    0.8303999999999999,
    0.8742000000000001,
    0.9029999999999997,
    0.9162,
    0.9187999999999998,
    0.9216,
    0.9416999999999996,
    0.9406000000000003,
    0.9225,
    0.8989000000000001,
    0.8412999999999998,
    0.7918000000000002,
    0.7834,
    0.795,
    0.8293999999999998,
    0.8636000000000003,
    0.9008,
    0.9288000000000001,
    0.9213000000000001,
    0.8999,
    0.8893,
    0.8992000000000001,
    0.9118999999999997,
    0.9137999999999997,
    0.9128,
    0.8928999999999999,
    0.8878999999999999,
    0.8773000000000002,
    0.8667000000000002,
    0.8632,
    0.8441000000000001,
    0.8277999999999999,
    0.8267000000000001,
    0.8443000000000002,
    0.8886,
    0.9201000000000001,
    0.9305000000000003,
    0.9067999999999996,
    0.8672000000000002,
    0.8271000000000001,
    0.7918000000000001,
    0.7797000000000001,
    0.7869,
    0.8247000000000002,
    0.8511000000000001,
    0.8705999999999999,
    0.8941000000000002,
    0.9324999999999999,
    0.9764000000000003,
    1.0120999999999998,
    1.0199000000000005,
    1.0247999999999997,
    1.0133999999999999,
    0.9822,
    0.9506000000000002,
    0.9212000000000001,
    0.8923000000000001,
    0.8743,
    0.8615999999999999,
    0.8281999999999999,
    0.7962000000000002,
    0.7856000000000003,
    0.8089999999999999,
    0.8359000000000001,
    0.8682,
    0.9056000000000002,
    0.9331000000000003,
    0.9635999999999999,
    0.9920000000000001,
    0.9922,
    0.9796999999999999,
    0.9508,
    0.9009999999999999,
    0.8537999999999999,
    0.8203999999999999,
    0.7794000000000001,
    0.7460999999999999,
    0.7357999999999999,
    0.7379999999999998,
    0.7490999999999999,
    0.7508,
    0.7634000000000003,
    0.8066,
    0.8425999999999998,
    0.8567999999999998,
    0.859,
    0.8303,
    0.7967,
    0.7895999999999997,
    0.8167000000000001,
    0.8488999999999998,
    0.8589,
    0.8352,
    0.8107000000000002,
    0.8312999999999999,
    0.8680999999999998,
    0.9099999999999999,
    0.9325000000000001,
    0.9479000000000001,
    0.9706000000000001,
    0.9876999999999999,
    0.9969999999999999,
    0.9949000000000001,
    0.9652,
    0.9474000000000001,
    0.9206000000000003,
    0.9032000000000001,
    0.8846,
    0.8512000000000002,
    0.8332,
    0.8153999999999999,
    0.8093,
    0.7974000000000001,
    0.7773000000000002,
    0.7606,
    0.7315999999999997,
    0.7185,
    0.7216000000000002,
    0.7379,
    0.7427999999999999,
    0.7734000000000001,
    0.8014,
    0.8199,
    0.8423,
    0.8690000000000003,
    0.9228999999999998,
    0.9722999999999999,
    1.0181000000000002,
    1.0258000000000003,
    1.0330000000000001,
    1.0322,
    1.0375,
    1.0375999999999996,
    1.0251000000000001,
    1.0177999999999996,
    0.9724000000000003,
    0.9257000000000006,
    0.9009000000000003,
    0.8736999999999999,
    0.8664000000000001,
    0.8680999999999999,
    0.8836,
    0.8988000000000003,
    0.9116000000000002,
    0.9027999999999999,
    0.8959000000000001,
    0.8750000000000002,
    0.8556999999999997,
    0.8724999999999999,
    0.8902999999999998,
    0.8943999999999999,
    0.8837999999999999,
    0.8598,
    0.8522,
    0.8541000000000002,
    0.8546,
    0.8474999999999997,
    0.8617999999999999,
    0.8790000000000001,
    0.91,
    0.9217000000000001,
    0.9302,
    0.9353,
    0.9495000000000001,
    0.9588000000000001,
    0.9514,
    0.9413999999999999,
    0.9224,
    0.9031999999999998,
    0.8827,
    0.8743,
    0.8526,
    0.8606000000000001,
    0.8547999999999998,
    0.8509000000000001,
    0.8530000000000003,
    0.8823,
    0.8997000000000002,
    0.9036000000000003,
    0.9097000000000002,
    0.9347,
    0.9666,
    0.9888999999999998,
    0.9938,
    0.9903000000000003,
    0.9732000000000002,
    0.9475000000000001,
    0.9127000000000001,
    0.8665000000000003,
    0.8184000000000003,
    0.775,
    0.7534000000000001,
    0.7531000000000005,
    0.7713999999999999,
    0.8131000000000002,
    0.8486999999999999,
    0.8938999999999998,
    0.9356999999999999,
    0.9517999999999998,
    0.9498000000000001,
    0.9235999999999999,
    0.8876,
    0.8456,
    0.8016000000000002,
    0.7751000000000002,
    0.7673000000000001,
    0.7845,
    0.8240999999999999,
    0.8559000000000001,
    0.8615000000000002,
    0.8567,
    0.8432999999999999,
    0.8398000000000001,
    0.8219,
    0.8024999999999999,
    0.8076000000000004,
    0.8112999999999999,
    0.8273999999999998,
    0.8606,
    0.8886999999999998,
    0.8899999999999998,
    0.8766,
    0.8697000000000001,
    0.8895000000000001,
    0.9212999999999999,
    0.9485999999999999,
    0.9476,
    0.9501999999999998,
    0.9402000000000001,
    0.9291000000000001,
    0.9098000000000003,
    0.8919000000000001,
    0.8684999999999999,
    0.8545000000000001,
    0.8312000000000003,
    0.8315999999999999,
    0.8582,
    0.8933000000000002,
    0.9166000000000002,
    0.9141,
    0.9046000000000002,
    0.8948000000000002,
    0.8767999999999999,
    0.8670000000000002,
    0.8623999999999999,
    0.8236999999999999,
    0.782,
    0.7305,
    0.6844,
    0.6428999999999999,
    0.6148000000000003,
    0.6406000000000002,
    0.6807000000000003,
    0.7342999999999998,
    0.8070999999999999,
    0.8434,
    0.8648000000000005,
    0.8625,
    0.8574000000000002,
    0.8587,
    0.8428,
    0.8355000000000001,
    0.8341000000000001,
    0.8153999999999998,
    0.7976000000000001,
    0.8090999999999998,
    0.8091000000000002,
    0.8328000000000002,
    0.8276000000000002,
    0.8352,
    0.8401000000000002,
    0.8486000000000002,
    0.8616999999999999,
    0.8670999999999999,
    0.8534000000000002,
    0.8531000000000001,
    0.8489,
    0.8507999999999997,
    0.8349000000000001,
    0.8147000000000001,
    0.7928000000000002,
    0.7983,
    0.8183000000000001,
    0.8308,
    0.8182000000000003,
    0.8179999999999997,
    0.8381999999999998,
    0.8588999999999999,
    0.871,
    0.8529000000000002,
    0.8178000000000001,
    0.7834999999999999,
    0.7699000000000001,
    0.7570000000000001,
    0.7645,
    0.7724,
    0.7978,
    0.8224,
    0.8365999999999999,
    0.8340999999999998,
    0.8156000000000003,
    0.7962000000000002,
    0.7764,
    0.7721000000000001,
    0.8036,
    0.8400000000000001,
    0.8588000000000001,
    0.8933000000000001,
    0.9130999999999999,
    0.9240000000000002,
    0.9215000000000001,
    0.9075000000000002,
    0.8618000000000001,
    0.8138999999999998,
    0.7956,
    0.7856999999999998,
    0.7756,
    0.7536999999999999,
    0.7446000000000002,
    0.7625000000000001,
    0.8113000000000004,
    0.8554999999999999,
    0.8815000000000005,
    0.9032000000000003,
    0.9482999999999999,
    0.9936999999999998,
    1.0058999999999996,
    0.9943,
    0.9591000000000001,
    0.9169000000000003,
    0.8841999999999999,
    0.8566999999999997,
    0.8286,
    0.8283,
    0.8339000000000003,
    0.8371000000000001,
    0.8432999999999999,
    0.8554999999999999,
    0.8723000000000001,
    0.8884000000000001,
    0.9059000000000001,
    0.9034000000000002,
    0.9004000000000001,
    0.8884000000000003,
    0.854,
    0.8325000000000001,
    0.8397000000000002,
    0.8465000000000001,
    0.8694000000000001,
    0.8639,
    0.8479999999999996,
    0.8203,
    0.7889,
    0.7549000000000001,
    0.7672999999999998,
    0.7907000000000004,
    0.8203999999999997,
    0.8401000000000002,
    0.8500999999999997,
    0.8647999999999997,
    0.8807,
    0.8801000000000003,
    0.8733000000000001,
    0.8658,
    0.8664000000000001,
    0.8529000000000002,
    0.8452999999999999,
    0.8467000000000001,
    0.8583999999999998,
    0.8569000000000002,
    0.8676999999999997,
    0.8537000000000001,
    0.8220999999999998,
    0.7977000000000001,
    0.7755999999999998,
    0.7438,
    0.6970999999999998,
    0.6438999999999998,
    0.5988000000000001,
    0.58,
    0.5708,
    0.5873999999999999,
    0.6267,
    0.6853000000000001,
    0.761,
    0.8249000000000002,
    0.8601999999999997,
    0.8937999999999999,
    0.8913000000000001,
    0.8686000000000003,
    0.8394,
    0.8237000000000002,
    0.8077999999999996,
    0.7662000000000001,
    0.7124000000000001,
    0.6752999999999999,
    0.6758000000000001,
    0.6617000000000001,
    0.6903,
    0.6932000000000001,
    0.7186999999999999,
    0.7464999999999998,
    0.7892,
    0.821,
    0.8582000000000003,
    0.8779999999999998,
    0.8949999999999999,
    0.8898,
    0.8777999999999999,
    0.8712,
    0.8643999999999997,
    0.8464000000000002,
    0.8266,
    0.8111999999999999,
    0.7883,
    0.7847,
    0.7686999999999999,
    0.7495,
    0.7618000000000004,
    0.7936000000000001,
    0.8248000000000001,
    0.8355,
    0.8365000000000001,
    0.8093,
    0.7960000000000003,
    0.7819999999999999,
    0.7628,
    0.7533999999999998,
    0.7249999999999998,
    0.7145000000000001,
    0.7099,
    0.7337000000000001,
    0.7463000000000002,
    0.7559000000000001,
    0.7772,
    0.81,
    0.8412000000000003,
    0.8592000000000003,
    0.8559000000000001,
    0.8337999999999999,
    0.8027,
    0.7684,
    0.7518000000000002,
    0.7333000000000001,
    0.7177,
    0.7157000000000001,
    0.7041000000000002,
    0.6855000000000003,
    0.6728999999999999,
    0.6778000000000001,
    0.7091999999999999,
    0.7464000000000001,
    0.7813,
    0.8160000000000005,
    0.8487000000000002,
    0.8804000000000002,
    0.9181,
    0.9194999999999998,
    0.8902000000000001,
    0.8612,
    0.8298999999999999,
    0.7988999999999999,
    0.7964999999999998,
    0.7907000000000003,
    0.8044000000000001,
    0.8332,
    0.8622000000000003,
    0.8898,
    0.9036,
    0.9186000000000001,
    0.9178999999999998,
    0.9097,
    0.8910000000000003,
    0.8887000000000002,
    0.8747000000000001,
    0.8555,
    0.8261000000000002,
    0.8088000000000001,
    0.8253000000000003,
    0.8609000000000002,
    0.8983999999999999,
    0.9071,
    0.9041,
    0.8704999999999998,
    0.8452000000000002,
    0.8238000000000002,
    0.8441,
    0.8784,
    0.9096000000000001,
    0.9091000000000001,
    0.9102,
    0.9151999999999999,
    0.9238999999999998,
    0.9122000000000003,
    0.9096,
    0.8978999999999998,
    0.8777999999999999,
    0.8506999999999998,
    0.8410000000000004,
    0.8503000000000003,
    0.8663000000000001,
    0.8720000000000002,
    0.878,
    0.8644999999999999,
    0.8441000000000001,
    0.8214000000000002,
    0.7936999999999999,
    0.7934999999999999,
    0.7749999999999999,
    0.7467999999999998,
    0.7224999999999998,
    0.7113999999999999,
    0.7426000000000001,
    0.7681999999999999,
    0.8098000000000001,
    0.8373,
    0.8442,
    0.8498000000000001,
    0.8364,
    0.8230000000000003,
    0.8239000000000001,
    0.8417,
    0.8604999999999999,
    0.8581,
    0.8442000000000001,
    0.8324000000000003,
    0.7954999999999999,
    0.7491000000000002,
    0.7272999999999998,
    0.7194,
    0.7306000000000002,
    0.7613999999999999,
    0.788,
    0.8179,
    0.8397999999999998,
    0.8281,
    0.8210999999999999,
    0.8195000000000001,
    0.8303000000000001,
    0.8408000000000001,
    0.8506999999999999,
    0.8511,
    0.8251999999999998,
    0.7869000000000002,
    0.7672999999999999,
    0.7525000000000002,
    0.7685,
    0.7678999999999999,
    0.7847999999999999,
    0.8054,
    0.8374999999999999,
    0.8529000000000001,
    0.8674000000000002,
    0.8724000000000001,
    0.8833999999999999,
    0.8772,
    0.8741000000000001,
    0.8842,
    0.8939999999999999,
    0.9040999999999999,
    0.8978,
    0.8958,
    0.8786999999999999,
    0.8733999999999998,
    0.8843000000000003,
    0.9177,
    0.9424,
    0.9479000000000004,
    0.9531000000000002,
    0.946,
    0.9411,
    0.9206000000000001,
    0.8955000000000001,
    0.8725999999999998,
    0.8421000000000003,
    0.8263999999999999,
    0.7966000000000001,
    0.7461000000000004,
    0.7265,
    0.7153000000000002,
    0.7392999999999998,
    0.7779000000000003,
    0.8021,
    0.8492000000000001,
    0.8777000000000004,
    0.9101,
    0.9292999999999997,
    0.9290999999999998,
    0.9185999999999996,
    0.8930999999999999,
    0.8573000000000001,
    0.8268999999999997,
    0.8034000000000001,
    0.7771000000000002,
    0.7818999999999999,
    0.8110000000000002,
    0.8517000000000001,
    0.8762,
    0.8963,
    0.9046,
    0.8958999999999999,
    0.8790000000000002,
    0.8454,
    0.8148000000000002,
    0.7997,
    0.7943,
    0.7978999999999999,
    0.8181999999999998,
    0.8341000000000001,
    0.8269999999999998,
    0.8108000000000001,
    0.7838000000000002,
    0.7834000000000002,
    0.8058,
    0.8325999999999998,
    0.8336000000000001,
    0.8320999999999998,
    0.8284999999999999,
    0.8412999999999998,
    0.8441999999999998,
    0.8380000000000001,
    0.8384999999999999,
    0.8517999999999998,
    0.8550999999999999,
    0.8570000000000001,
    0.8745999999999999,
    0.8961000000000001,
    0.9055000000000002,
    0.8969999999999997,
    0.8724,
    0.8375999999999999,
    0.7937000000000002,
    0.7623000000000001,
    0.7442000000000002,
    0.7209,
    0.7100999999999996,
    0.6912000000000001,
    0.6884999999999999,
    0.697,
    0.7165,
    0.7603999999999997,
    0.7902999999999998,
    0.8371,
    0.8845999999999999,
    0.9212000000000001,
    0.9473,
    0.9476000000000001,
    0.9384000000000002,
    0.9367000000000001,
    0.9522000000000002,
    0.9512999999999999,
    0.9545000000000001,
    0.9382000000000003,
    0.9230000000000002,
    0.9189000000000004,
    0.9002000000000002,
    0.8858000000000003,
    0.8531000000000002,
    0.8272000000000002,
    0.8040999999999999,
    0.7958999999999998,
    0.7754999999999999,
    0.7805,
    0.7810000000000001,
    0.7728999999999997,
    0.7689999999999999,
    0.7583,
    0.7553999999999997,
    0.7551,
    0.7539999999999999,
    0.7638000000000001,
    0.7815,
    0.7940999999999998,
    0.7878999999999998,
    0.7938999999999999,
    0.7980000000000002,
    0.8019000000000001,
    0.8004000000000002,
    0.8095999999999999,
    0.8037000000000003,
    0.7948000000000001,
    0.7821,
    0.7666000000000003,
    0.7583,
    0.747,
    0.7353999999999997,
    0.7212999999999999,
    0.7061999999999999,
    0.6931999999999999,
    0.6867000000000003,
    0.6730000000000002,
    0.6558999999999999,
    0.6283000000000001,
    0.6006,
    0.5673,
    0.5336,
    0.5134,
    0.5114,
    0.5264,
    0.5304000000000001,
    0.5306000000000003,
    0.5297000000000001,
    0.5154,
    0.5011,
    0.4974,
    0.5172000000000001,
    0.5245000000000001,
    0.5126000000000001,
    0.49600000000000005,
    0.46619999999999995,
    0.44799999999999995,
    0.44419999999999993,
    0.45910000000000006,
    0.4606,
    0.46369999999999995,
    0.4634000000000001,
    0.47650000000000015,
    0.5090000000000001,
    0.542,
    0.5576,
    0.5795999999999998,
    0.5917000000000001,
    0.5958999999999997,
    0.6138000000000001,
    0.6267000000000001,
    0.6498999999999997,
    0.6561,
    0.6731999999999997,
    0.6647000000000003,
    0.6458999999999999,
    0.6354999999999998,
    0.6159999999999999,
    0.6048000000000001,
    0.6127,
    0.6433,
    0.6847,
    0.7123,
    0.7394000000000001,
    0.7635999999999998,
    0.7710000000000001,
    0.7766999999999998,
    0.7900999999999999,
    0.7970000000000003,
    0.7943,
    0.8026,
    0.8054,
    0.8087999999999997,
    0.8084999999999996,
    0.8003999999999997,
    0.7774999999999999,
    0.7570999999999998,
    0.7189,
    0.6985000000000001,
    0.7045000000000003,
    0.7310000000000002,
    0.7754,
    0.7729000000000005,
    0.7957000000000002,
    0.8173000000000002,
    0.8517000000000001,
    0.8595999999999999,
    0.8541000000000001,
    0.8443000000000003,
    0.8114999999999999,
    0.7412,
    0.6902999999999997,
    0.6383999999999996,
    0.6182999999999998,
    0.6055999999999999,
    0.6139000000000002,
    0.6271000000000001,
    0.6490000000000002,
    0.6817000000000003,
    0.7272999999999998,
    0.7841,
    0.8108000000000003,
    0.8382000000000002,
    0.8577,
    0.8614000000000003,
    0.8549000000000001,
    0.8348000000000001,
    0.8077,
    0.7736000000000001,
    0.7577999999999999,
    0.7646000000000001,
    0.7542000000000001,
    0.7343999999999999,
    0.7237,
    0.7308,
    0.7562000000000001,
    0.7843,
    0.8112000000000001,
    0.8332000000000002,
    0.8664000000000002,
    0.9061,
    0.9192000000000002,
    0.9146000000000001,
    0.9022999999999999,
    0.8628000000000001,
    0.8218000000000002,
    0.79,
    0.7597000000000003,
    0.7512000000000001,
    0.7379000000000002,
    0.7385000000000003,
    0.7286000000000001,
    0.7242,
    0.7252000000000002,
    0.7346999999999999,
    0.7344,
    0.7405999999999997,
    0.7491,
    0.7513000000000001,
    0.7476999999999999,
    0.7341,
    0.7150000000000001,
    0.7064000000000001,
    0.7036000000000001,
    0.7192,
    0.7365999999999998,
    0.7322999999999997,
    0.7181000000000002,
    0.7140000000000002,
    0.7450999999999999,
    0.7932000000000001,
    0.8375999999999999,
    0.8784000000000001,
    0.9133,
    0.9320999999999999,
    0.9535,
    0.9609999999999999,
    0.9593999999999999,
    0.9400999999999998,
    0.9309000000000002,
    0.8916999999999998,
    0.8615000000000002,
    0.8620000000000002,
    0.8826999999999999,
    0.9052000000000001,
    0.9174999999999998,
    0.9118000000000002,
    0.8902000000000001,
    0.8749000000000001,
    0.8564000000000002,
    0.8513,
    0.8251999999999999,
    0.7885999999999999,
    0.7510000000000001,
    0.7302000000000002,
    0.748,
    0.7739999999999999,
    0.8123000000000001,
    0.8419000000000004,
    0.8897999999999998,
    0.9351999999999997,
    0.9597000000000001,
    0.9661000000000001,
    0.9486,
    0.9329999999999998,
    0.9407999999999997,
    0.9284,
    0.9036000000000003,
    0.8792,
    0.8399000000000002,
    0.8131000000000002,
    0.8245,
    0.8499000000000001,
    0.8929,
    0.9266,
    0.9521999999999998,
    0.9674000000000001,
    0.9811000000000003,
    0.9746999999999999,
    0.9693999999999998,
    0.9507000000000001,
    0.9337999999999996,
    0.9212999999999999,
    0.9051999999999997,
    0.8789999999999999,
    0.8626999999999998,
    0.8469,
    0.8292999999999998,
    0.8191,
    0.7993000000000001,
    0.7666999999999999,
    0.7501000000000002,
    0.7526,
    0.7790000000000002,
    0.7899,
    0.8001,
    0.7898000000000001,
    0.7863000000000001,
    0.7919000000000002,
    0.8027,
    0.8080000000000003,
    0.7876000000000002,
    0.76,
    0.7395,
    0.7343,
    0.7189000000000003,
    0.6983,
    0.6826000000000001,
    0.6528999999999999,
    0.6279999999999999,
    0.5984000000000002,
    0.5616,
    0.5325,
    0.5112000000000002,
    0.5163000000000001,
    0.5424000000000001,
    0.5917000000000001,
    0.6214000000000001,
    0.6471000000000001,
    0.6777000000000001,
    0.7298000000000002,
    0.7766000000000002,
    0.7931,
    0.7913000000000001,
    0.7864999999999998,
    0.7826999999999998,
    0.7746000000000002,
    0.7756000000000002,
    0.7716000000000004,
    0.7645000000000002,
    0.7406000000000003,
    0.7339000000000002,
    0.7525999999999999,
    0.7834000000000001,
    0.8092000000000005,
    0.8190999999999999,
    0.8231999999999999,
    0.8274,
    0.8371,
    0.8337000000000002,
    0.8172999999999999,
    0.7920999999999999,
    0.7864000000000002,
    0.7801000000000001,
    0.7705,
    0.7512,
    0.7268000000000003,
    0.7338,
    0.7761000000000001,
    0.8127999999999999,
    0.8412000000000001,
    0.8630000000000002,
    0.9056000000000001,
    0.9477000000000001,
    0.9630000000000001,
    0.9519,
    0.9153000000000001,
    0.8748999999999999,
    0.8272999999999997,
    0.8099,
    0.8158000000000003,
    0.8397000000000004,
    0.8350000000000005,
    0.8133999999999998,
    0.7834,
    0.7953000000000001,
    0.8030000000000003,
    0.8089000000000001,
    0.8069999999999999,
    0.7959999999999999,
    0.7733,
    0.7469000000000001,
    0.7329000000000001,
    0.7245000000000001,
    0.7310000000000002,
    0.7413,
    0.7605000000000001,
    0.7805,
    0.8015,
    0.8168999999999997,
    0.8270000000000001,
    0.8396000000000005,
    0.8512999999999998,
    0.8663000000000002,
    0.8878999999999998,
    0.8944000000000002,
    0.9170999999999998,
    0.9271999999999999,
    0.9407999999999999,
    0.9272000000000001,
    0.9130999999999998,
    0.9005000000000001,
    0.8966999999999999,
    0.8769,
    0.8789000000000002,
    0.9028,
    0.9227,
    0.9338,
    0.9346999999999996,
    0.9121000000000001,
    0.8761000000000001,
    0.8315000000000002,
    0.8029999999999999,
    0.7966000000000001,
    0.7716000000000003,
    0.75,
    0.7151000000000001,
    0.7087999999999999,
    0.7228000000000002,
    0.7453000000000001,
    0.7750999999999999,
    0.8014000000000002,
    0.8501999999999998,
    0.9047000000000001,
    0.9564000000000001,
    0.9834000000000002,
    0.9652999999999999,
    0.9548000000000003,
    0.9503999999999998,
    0.9446,
    0.9142999999999999,
    0.8859000000000002,
    0.8341000000000002,
    0.7904000000000004,
    0.783,
    0.7948000000000002,
    0.8366000000000002,
    0.8642000000000001,
    0.8743999999999998,
    0.8846,
    0.8915000000000001,
    0.8865999999999999,
    0.8789999999999998,
    0.8636000000000003,
    0.8730999999999997,
    0.8682,
    0.8534999999999999,
    0.8355,
    0.8169,
    0.7949,
    0.8050999999999999,
    0.8107000000000001,
    0.8055999999999999,
    0.7809,
    0.7812999999999999,
    0.8126999999999995,
    0.8697,
    0.8999,
    0.9175999999999999,
    0.9191,
    0.9232,
    0.9251,
    0.9239000000000002,
    0.9110999999999998,
    0.8971000000000001,
    0.8852,
    0.871,
    0.8611,
    0.8642000000000002,
    0.8782,
    0.8970999999999997,
    0.8978,
    0.9120000000000001,
    0.9289000000000001,
    0.9407000000000001,
    0.9493000000000004,
    0.9535000000000001,
    0.9629000000000001,
    0.9811000000000001,
    0.9833000000000001,
    0.9939000000000001,
    0.9901000000000003,
    0.9721,
    0.9675999999999999,
    0.9623999999999998,
    0.9284000000000002,
    0.8942999999999999,
    0.8716000000000002,
    0.8720999999999999,
    0.9032000000000002,
    0.9295000000000004,
    0.9549000000000003,
    0.9718,
    1.0083,
    1.0458000000000005,
    1.0671000000000002,
    1.0705999999999996,
    1.0467999999999997,
    1.0194000000000003,
    0.9908000000000002,
    0.9828000000000002,
    0.9739000000000001,
    0.9694999999999997,
    0.9640999999999998,
    0.9752999999999998,
    0.9677,
    0.9584000000000001,
    0.9518999999999999,
    0.9438000000000002,
    0.9476999999999999,
    0.9374,
    0.9338999999999997,
    0.9152999999999999,
    0.8842000000000001,
    0.8654000000000003,
    0.8621,
    0.8723,
    0.8724999999999999,
    0.8763000000000001,
    0.8879999999999999,
    0.8927999999999999,
    0.8916999999999999,
    0.8841,
    0.8506000000000001,
    0.8229000000000002,
    0.8091000000000003,
    0.8065,
    0.8209,
    0.8387,
    0.8511000000000002,
    0.8752,
    0.8798000000000002,
    0.8851999999999999,
    0.8888,
    0.8847,
    0.8791000000000002,
    0.8649999999999999,
    0.8493,
    0.8631,
    0.88,
    0.897,
    0.8998,
    0.8857999999999999,
    0.854,
    0.8163,
    0.7786000000000002,
    0.7367999999999999,
    0.7165000000000001,
    0.7028000000000002,
    0.6780999999999996,
    0.6475,
    0.6229000000000001,
    0.6132999999999998,
    0.6312,
    0.6498,
    0.6819000000000001,
    0.7252,
    0.7702,
    0.8163,
    0.8277000000000004,
    0.8544000000000002,
    0.8726999999999999,
    0.8850000000000002,
    0.8691,
    0.8487999999999998,
    0.8161000000000003,
    0.7847999999999997,
    0.7743,
    0.7607,
    0.7593000000000002,
    0.7387000000000002,
    0.7147000000000002,
    0.7019000000000001,
    0.7264000000000002,
    0.7515000000000001,
    0.7984,
    0.8194,
    0.8409000000000002,
    0.8637000000000002,
    0.8746,
    0.8933000000000002,
    0.8928000000000001,
    0.8795,
    0.8603999999999999,
    0.8312999999999997,
    0.8089000000000001,
    0.8035999999999996,
    0.7958000000000001,
    0.8019000000000001,
    0.8079999999999998,
    0.8167000000000002,
    0.8199000000000003,
    0.8223000000000004,
    0.8358000000000001,
    0.8564,
    0.8694000000000002,
    0.8708,
    0.8728,
    0.8736000000000002,
    0.8856,
    0.8987999999999998,
    0.9170999999999999,
    0.9239999999999998,
    0.9243999999999999,
    0.9111000000000001,
    0.9011000000000002,
    0.8675,
    0.8405,
    0.8340000000000001,
    0.8388000000000002,
    0.8205,
    0.8000999999999998,
    0.7948,
    0.8034000000000001,
    0.8271999999999999,
    0.8576999999999999,
    0.8867,
    0.9033999999999999,
    0.9053,
    0.8939999999999997,
    0.8941999999999998,
    0.8922000000000001,
    0.8943,
    0.8962000000000003,
    0.9188000000000001,
    0.9478000000000004,
    0.9601999999999999,
    0.9886999999999999,
    0.9984000000000001,
    0.9910000000000004,
    0.9775000000000001,
    0.9676999999999998,
    0.9562000000000005,
    0.9283000000000002,
    0.9040000000000002,
    0.8579,
    0.8151000000000002,
    0.7864,
    0.7776000000000001,
    0.7552999999999999,
    0.7388,
    0.7309999999999999,
    0.7463,
    0.7933000000000001,
    0.8283000000000001,
    0.8627000000000002,
    0.8885000000000002,
    0.9285,
    0.9721,
    0.9765000000000003,
    0.9643,
    0.9421000000000003,
    0.9024000000000003,
    0.8518999999999994,
    0.8143,
    0.7789,
    0.7764000000000001,
    0.7828000000000003,
    0.7908000000000002,
    0.7924999999999999,
    0.8044999999999999,
    0.8150000000000001,
    0.8101999999999998,
    0.7949,
    0.7692,
    0.7721999999999999,
    0.7579,
    0.7603000000000001,
    0.7530000000000001,
    0.7583000000000002,
    0.7727000000000003,
    0.7814,
    0.8014,
    0.8114,
    0.7975999999999998,
    0.7792000000000001,
    0.7717000000000002,
    0.794,
    0.8339000000000001,
    0.8911000000000003,
    0.9279999999999999,
    0.9415999999999997,
    0.9587,
    0.9688000000000002,
    0.9657999999999999,
    0.9545000000000001,
    0.9419999999999998,
    0.9399000000000002,
    0.9145,
    0.9112999999999999,
    0.9401000000000002,
    0.9736000000000001,
    0.9893,
    0.9822000000000001,
    0.9602000000000002,
    0.9233000000000002,
    0.893,
    0.8754000000000002,
    0.8829,
    0.8616000000000003,
    0.8522999999999998,
    0.8528000000000002,
    0.8656000000000001,
    0.8956,
    0.9334000000000001,
    0.9563000000000003,
    0.9788000000000001,
    0.9874999999999999,
    0.9963,
    1.0028,
    1.0076999999999998,
    0.9974999999999998,
    0.9793,
    0.9721999999999996,
    0.9517999999999999,
    0.9318999999999998,
    0.9115999999999997,
    0.8967999999999999,
    0.8754000000000002,
    0.8994000000000001,
    0.9249,
    0.9630000000000002,
    0.9816000000000003,
    0.9909999999999999,
    0.9986000000000003,
    1.0096,
    1.003,
    0.9809999999999999,
    0.9556999999999999,
    0.9535999999999999,
    0.9424,
    0.9251999999999999,
    0.9074999999999999,
    0.8758000000000001,
    0.8555,
    0.8442999999999997,
    0.8324,
    0.8192000000000004,
    0.8019000000000001,
    0.8103999999999999,
    0.8207,
    0.8508,
    0.8716999999999997,
    0.8936000000000001,
    0.9017999999999999,
    0.8936,
    0.8804,
    0.8545,
    0.8423000000000002,
    0.7962999999999999,
    0.7617000000000002,
    0.7250000000000003,
    0.7137000000000003,
    0.6973000000000001,
    0.6784000000000001,
    0.6739,
    0.6801999999999998,
    0.7028999999999999,
    0.7053000000000001,
    0.7101999999999998,
    0.7277000000000002,
    0.767,
    0.8275,
    0.8693999999999997,
    0.8821999999999999,
    0.8902000000000001,
    0.8836,
    0.867,
    0.8445999999999999,
    0.8094000000000001,
    0.7736,
    0.7606999999999997,
    0.7750000000000002,
    0.7899000000000002,
    0.8060000000000002,
    0.8173000000000002,
    0.8300999999999997,
    0.818,
    0.8108000000000001,
    0.8058999999999998,
    0.8085999999999999,
    0.7962000000000002,
    0.7724000000000001,
    0.7619,
    0.7823,
    0.8082000000000003,
    0.8287999999999999,
    0.8343999999999997,
    0.822,
    0.8109000000000003,
    0.8045000000000002,
    0.8006000000000002,
    0.8128,
    0.8272000000000003,
    0.8534,
    0.8795000000000004,
    0.8974000000000002,
    0.8856,
    0.8643000000000002,
    0.8354,
    0.8142999999999998,
    0.7876000000000002,
    0.768,
    0.7349999999999999,
    0.7453000000000002,
    0.7757,
    0.7913,
    0.8000999999999999,
    0.7986000000000003,
    0.7984999999999999,
    0.8083000000000001,
    0.8396000000000002,
    0.8539,
    0.8675999999999998,
    0.9007000000000002,
    0.9452999999999997,
    0.9621999999999998,
    0.9504999999999997,
    0.9191999999999998,
    0.8722999999999997,
    0.8341999999999998,
    0.8314000000000001,
    0.8290999999999998,
    0.8374,
    0.8203000000000001,
    0.8128,
    0.8190000000000002,
    0.8431,
    0.8686,
    0.8775,
    0.8886999999999999,
    0.8965999999999998,
    0.8976999999999999,
    0.8770000000000001,
    0.8270000000000001,
    0.7785,
    0.7449000000000003,
    0.7289000000000001,
    0.7226999999999997,
    0.7204,
    0.7277999999999998,
    0.7178999999999998,
    0.7141000000000002,
    0.7158000000000002,
    0.7565,
    0.8065000000000001,
    0.8527000000000002,
    0.8918,
    0.9158000000000001,
    0.93,
    0.9318000000000002,
    0.9154999999999996,
    0.9168000000000001,
    0.9359,
    0.9496000000000001,
    0.9459000000000001,
    0.9394999999999998,
    0.9537,
    0.9758000000000003,
    0.9974000000000001,
    1.0107999999999995,
    1.0161000000000002,
    1.0092000000000003,
    1.0126999999999997,
    1.0137,
    1.0084,
    0.9924000000000004,
    0.9823999999999999,
    0.9894000000000003,
    0.9753000000000001,
    0.9655000000000001,
    0.9446,
    0.9152000000000001,
    0.8950999999999998,
    0.8572000000000002,
    0.8120999999999999,
    0.7538000000000001,
    0.7228000000000002,
    0.7357000000000002,
    0.7768000000000004,
    0.8165,
    0.8431,
    0.8560000000000001,
    0.8795999999999995,
    0.9051999999999999,
    0.9250999999999999,
    0.9249000000000003,
    0.896,
    0.8616000000000003,
    0.8161999999999999,
    0.7869,
    0.7614000000000003,
    0.746,
    0.7513000000000001,
    0.7690000000000001,
    0.7835999999999997,
    0.8018000000000001,
    0.8186,
    0.8295999999999998,
    0.8514,
    0.8578000000000003,
    0.8438999999999998,
    0.8349999999999997,
    0.815,
    0.7992,
    0.8001999999999998,
    0.8094000000000002,
    0.8085999999999999,
    0.8073999999999999,
    0.7987000000000002,
    0.8073,
    0.8366,
    0.8646,
    0.8821000000000002,
    0.8956000000000002,
    0.9075000000000001,
    0.9294999999999999,
    0.9361,
    0.9352999999999999,
    0.9322999999999998,
    0.9391,
    0.9168,
    0.9048999999999996,
    0.8974000000000002,
    0.9058999999999998,
    0.9041000000000002,
    0.8996000000000001,
    0.8892000000000001,
    0.8876000000000001,
    0.8849,
    0.8738000000000002,
    0.8591000000000001,
    0.8225999999999999,
    0.7815999999999997,
    0.7496999999999999,
    0.7386,
    0.7661,
    0.7958000000000001,
    0.845,
    0.8971000000000001,
    0.9434,
    0.9709999999999998,
    0.9949999999999999,
    1.0069000000000004,
    0.9933999999999998,
    0.9769000000000001,
    0.9565999999999999,
    0.9185000000000003,
    0.8808,
    0.8399999999999996,
    0.8159000000000002,
    0.7881,
    0.8005000000000002,
    0.8242,
    0.8703,
    0.8991,
    0.933,
    0.9428000000000002,
    0.9542999999999999,
    0.9498000000000002,
    0.9402000000000004,
    0.9250999999999999,
    0.9261999999999996,
    0.8998999999999998,
    0.8725999999999997,
    0.8471000000000002,
    0.8330000000000003,
    0.8149000000000001,
    0.8008000000000004,
    0.8112,
    0.8376000000000001,
    0.8604,
    0.8945000000000001,
    0.9221000000000004,
    0.9581000000000001,
    0.9705,
    0.9758999999999998,
    0.9745,
    0.9783999999999998,
    0.9714999999999999,
    0.98,
    0.9771000000000002,
    0.9784999999999998,
    0.9515000000000001,
    0.9150000000000001,
    0.8862000000000001,
    0.8746000000000004,
    0.8733000000000001,
    0.8975000000000001,
    0.9165000000000003,
    0.9337,
    0.9413999999999999,
    0.9436000000000001,
    0.9483,
    0.9481999999999999,
    0.9302000000000001,
    0.925,
    0.9261000000000001,
    0.9160000000000001,
    0.898,
    0.8836,
    0.8491000000000001,
    0.8160000000000001,
    0.7808999999999999,
    0.7687000000000004,
    0.7924,
    0.8327000000000001,
    0.8674,
    0.8967,
    0.9247000000000002,
    0.977,
    1.0135999999999996,
    1.0274000000000005,
    1.0126000000000004,
    0.9713000000000002,
    0.9225999999999998,
    0.8467000000000001,
    0.7926000000000005,
    0.7636,
    0.7515000000000003,
    0.7562000000000003,
    0.7548000000000002,
    0.7505000000000001,
    0.7754,
    0.7961999999999998,
    0.8187,
    0.8314999999999999,
    0.8346,
    0.8239000000000002,
    0.8032000000000001,
    0.7941000000000001,
    0.7878,
    0.7983000000000003,
    0.8087,
    0.8207,
    0.8217000000000001,
    0.8066000000000001,
    0.7812999999999999,
    0.7627000000000002,
    0.7714000000000001,
    0.7952,
    0.8269,
    0.8460999999999996,
    0.8462999999999998,
    0.8504999999999998,
    0.8706,
    0.8709000000000001,
    0.8760999999999999,
    0.8457,
    0.8333999999999999,
    0.8206999999999999,
    0.8199000000000002,
    0.8291000000000001,
    0.8713000000000001,
    0.9041,
    0.9252000000000001,
    0.9088999999999998,
    0.8851,
    0.8699000000000002,
    0.8664999999999998,
    0.8766,
    0.8786999999999999,
    0.8630000000000001,
    0.8291999999999999,
    0.7799000000000003,
    0.7570000000000001,
    0.7597999999999997,
    0.7859000000000005,
    0.798,
    0.8114000000000003,
    0.8425999999999998,
    0.8641,
    0.8812000000000003,
    0.8852,
    0.8967999999999997,
    0.8910000000000002,
    0.8905999999999997,
    0.8633000000000001,
    0.8257,
    0.8007000000000001,
    0.7554000000000003,
    0.7221000000000002,
    0.7425,
    0.7764,
    0.8161,
    0.8473,
    0.8747000000000001,
    0.9120999999999998,
    0.9228000000000003,
    0.9403000000000001,
    0.9677000000000001,
    0.9564,
    0.9301999999999998,
    0.8790999999999999,
    0.8313999999999999,
    0.7912000000000001,
    0.7631000000000003,
    0.7248000000000001,
    0.7065000000000001,
    0.6821000000000002,
    0.6841000000000005,
    0.6986000000000002,
    0.7367000000000002,
    0.7758,
    0.8337000000000002,
    0.8835,
    0.9078,
    0.9006000000000001,
    0.9007,
    0.8850000000000001,
    0.8530000000000001,
    0.8379999999999999,
    0.8131999999999999,
    0.8328,
    0.8517999999999999,
    0.8850000000000002,
    0.8818000000000004,
    0.8749,
    0.8652000000000002,
    0.8675000000000002,
    0.8852000000000001,
    0.8963,
    0.9231,
    0.937,
    0.9467000000000001,
    0.9411999999999998,
    0.9278000000000001,
    0.8888999999999998,
    0.8532,
    0.7825000000000001,
    0.7071999999999998,
    0.6629999999999998,
    0.6481000000000001,
    0.667,
    0.7254000000000002,
    0.7712000000000002,
    0.8140999999999999,
    0.8578000000000002,
    0.8959,
    0.9328,
    0.9490999999999997,
    0.9517000000000001,
    0.9464999999999998,
    0.9157000000000002,
    0.8584999999999998,
    0.8119999999999999,
    0.7817,
    0.7745999999999998,
    0.7663000000000001,
    0.7724,
    0.7824000000000001,
    0.7948,
    0.8026999999999997,
    0.8047,
    0.7990000000000002,
    0.7898000000000003,
    0.7682000000000003,
    0.7511000000000001,
    0.7512999999999999,
    0.7451000000000001,
    0.7507000000000001,
    0.7639000000000001,
    0.7702,
    0.7769,
    0.7739999999999999,
    0.7422000000000001,
    0.7269,
    0.7082999999999998,
    0.7287999999999999,
    0.7562000000000001,
    0.7831999999999996,
    0.8083,
    0.8415999999999999,
    0.8808999999999999,
    0.9011,
    0.9110999999999999,
    0.9038,
    0.8855999999999998,
    0.8795999999999999,
    0.8742,
    0.8761999999999998,
    0.8894,
    0.8826000000000002,
    0.8786000000000002,
    0.8715,
    0.8715999999999999,
    0.8837,
    0.8815,
    0.8710999999999999,
    0.8688999999999998,
    0.8590000000000001,
    0.8713000000000002,
    0.8804,
    0.8813000000000002,
    0.8849999999999998,
    0.8789,
    0.8861000000000002,
    0.8929,
    0.8771000000000002,
    0.8787999999999999,
    0.8670000000000001,
    0.8761000000000001,
    0.8882,
    0.8931000000000003,
    0.9126000000000001,
    0.9389000000000002,
    0.9505000000000001,
    0.9564,
    0.9428999999999998,
    0.9295,
    0.9266000000000002,
    0.9278999999999998,
    0.9265999999999999,
    0.9153000000000001,
    0.9074999999999999,
    0.9125,
    0.8998,
    0.9073,
    0.9305000000000002,
    0.9684999999999999,
    1.0032,
    1.0350000000000001,
    1.0384,
    1.0419,
    1.0552999999999997,
    1.0579999999999998,
    1.0514000000000001,
    1.0236,
    0.9987999999999998,
    0.9679,
    0.9545,
    0.9413000000000002,
    0.9280999999999997,
    0.9272000000000002,
    0.9357000000000002,
    0.9426,
    0.9531,
    0.9527000000000003,
    0.9557999999999998,
    0.9607000000000001,
    0.9541999999999999,
    0.9422999999999999,
    0.9181000000000001,
    0.9040000000000002,
    0.8938,
    0.8881999999999999,
    0.8702000000000002,
    0.8530000000000002,
    0.8459,
    0.8467999999999999,
    0.8347000000000003,
    0.8369,
    0.8324999999999999,
    0.8422999999999999,
    0.8495000000000001,
    0.8605,
    0.8579999999999999,
    0.8759000000000001,
    0.8901000000000001,
    0.9209999999999999,
    0.9351,
    0.9548000000000003,
    0.9575000000000004,
    0.944,
    0.9395,
    0.9187000000000003,
    0.8926000000000002,
    0.8578,
    0.8165000000000001,
    0.7878000000000001,
    0.7762,
    0.7407000000000002,
    0.7091999999999997,
    0.7003000000000003,
    0.7221000000000002,
    0.7650000000000002,
    0.803,
    0.8328000000000002,
    0.8680000000000003,
    0.9046000000000001,
    0.9432999999999998,
    0.9686000000000001,
    0.9611000000000002,
    0.9191999999999999,
    0.8627999999999998,
    0.7895000000000001,
    0.7557999999999999,
    0.7366000000000001,
    0.7468000000000001,
    0.7538999999999999,
    0.7562,
    0.7545000000000001,
    0.7703999999999995,
    0.8048000000000002,
    0.8279999999999998,
    0.8369,
    0.8437000000000003,
    0.8393999999999998,
    0.8336000000000001,
    0.8291999999999999,
    0.8107,
    0.8011,
    0.8036,
    0.8072999999999997,
    0.7942999999999998,
    0.7578999999999999,
    0.7404999999999998,
    0.7594999999999998,
    0.7982999999999999,
    0.8372,
    0.8611000000000001,
    0.8845000000000001,
    0.9039999999999999,
    0.9173000000000001,
    0.9143,
    0.9051,
    0.8789,
    0.8598000000000001,
    0.8348,
    0.8265999999999999,
    0.8378000000000001,
    0.8466,
    0.8523000000000001,
    0.8550999999999999,
    0.8444000000000002,
    0.8286,
    0.8203000000000004,
    0.8095,
    0.8008000000000003,
    0.7827,
    0.7533000000000002,
    0.7270000000000001,
    0.7257000000000001,
    0.7628,
    0.7962000000000001,
    0.8105999999999999,
    0.8189000000000002,
    0.8409999999999999,
    0.8711,
    0.8921000000000001,
    0.9041000000000003,
    0.9015000000000001,
    0.8892000000000001,
    0.8826,
    0.8675,
    0.8470999999999999,
    0.8322000000000002,
    0.8169999999999998,
    0.8004000000000002,
    0.8090999999999999,
    0.8199,
    0.8650000000000003,
    0.9007999999999999,
    0.9427,
    0.95805,
    0.97095,
    0.9628999999999998,
    0.9526999999999998,
    0.9282999999999999,
    0.9179999999999996,
    0.9196999999999999,
    0.9192999999999997,
    0.9093999999999998,
    0.8708,
    0.8305,
    0.7935999999999999,
    0.7783499999999998,
    0.783,
    0.7766000000000001,
    0.8043000000000001,
    0.8304500000000002,
    0.8681500000000001,
    0.88705,
    0.8960999999999998,
    0.8824499999999998,
    0.8655499999999999,
    0.8394,
    0.8140999999999999,
    0.8084999999999999
  ],
  "sidechain": [
    0.48810000000000003,
    0.513,
    0.52065,
    0.34615000000000007,
    0.3355500000000002,
    0.33344999999999997,
    0.32264999999999994,
    0.33424999999999994,
    0.3445499999999999,
    0.34785,
    0.37115,
    0.3258500000000001,
    0.62555,
    0.3428999999999999,
    0.5969999999999998,
    0.6302,
    0.6059999999999999,
    0.5997000000000002,
    0.6056000000000001,
    0.35145000000000004,
    0.5899499999999999,
    0.29655,
    0.5990500000000002,
    0.5814500000000004,
    0.54585,
    0.5677999999999996,
    0.5918000000000001,
    0.5141999999999999,
    0.29580000000000006,
    0.3103000000000001,
    0.3287,
    0.2672999999999999,
    0.43920000000000003,
    0.26750000000000007,
    0.5824999999999998,
    0.3521,
    0.6071999999999997,
    0.35900000000000004,
    0.6284999999999998,
    0.6122,
    0.399,
    0.6022000000000001,
    0.42939999999999995,
    0.6511999999999998,
    0.5972999999999998,
    0.3593,
    0.6308000000000001,
    0.6029000000000001,
    0.6036,
    0.6277000000000001,
    0.5752999999999997,
    0.5016,
    0.3240999999999999,
    0.5370999999999999,
    0.33390000000000003,
    0.49139999999999984,
    0.5616000000000001,
    0.5255999999999998,
    0.5697000000000001,
    0.38199999999999995,
    0.6097000000000002,
    0.5509999999999998,
    0.6615,
    0.6706,
    0.7170000000000001,
    0.6527000000000001,
    0.6555999999999998,
    0.6357999999999999,
    0.5537000000000001,
    0.3150999999999999,
    0.49680000000000013,
    0.513,
    0.5749000000000001,
    0.5343,
    0.5625000000000001,
    0.34890000000000004,
    0.6016000000000001,
    0.3832000000000001,
    0.6014000000000003,
    0.5792999999999999,
    0.5094000000000001,
    0.3671,
    0.5263999999999999,
    0.36989999999999995,
    0.5104,
    0.5765000000000002,
    0.5793,
    0.32380000000000003,
    0.3459,
    0.5008,
    0.5430999999999999,
    0.5730000000000001,
    0.35469999999999985,
    0.631,
    0.6291000000000002,
    0.41630000000000006,
    0.6215999999999998,
    0.40629999999999994,
    0.5772999999999998,
    0.5139999999999999,
    0.5212,
    0.5695999999999998,
    0.5315,
    0.6353000000000002,
    0.6576000000000001,
    0.6586,
    0.45530000000000004,
    0.6607,
    0.42930000000000024,
    0.6653000000000001,
    0.3494000000000001,
    0.5927000000000002,
    0.3618,
    0.5209000000000001,
    0.5614999999999999,
    0.4844,
    0.5916,
    0.5200999999999999,
    0.6620000000000001,
    0.6112000000000001,
    0.6838999999999997,
    0.6673,
    0.6835,
    0.43370000000000014,
    0.6596999999999997,
    0.6382999999999999,
    0.6729000000000002,
    0.6272000000000002,
    0.6051000000000001,
    0.3662,
    0.5507999999999998,
    0.3718999999999999,
    0.4057,
    0.5828999999999999,
    0.6429999999999997,
    0.6818000000000002,
    0.4640999999999999,
    0.7173000000000003,
    0.7114999999999999,
    0.6664000000000001,
    0.6177,
    0.7073999999999998,
    0.5811999999999998,
    0.5776999999999999,
    0.6720999999999999,
    0.6507,
    0.5916000000000002,
    0.4006,
    0.6466999999999998,
    0.3218999999999999,
    0.5171,
    0.3618000000000001,
    0.3910000000000001,
    0.41200000000000003,
    0.6576999999999997,
    0.7394999999999999,
    0.40459999999999996,
    0.3819,
    0.7079000000000002,
    0.6473999999999999,
    0.6135000000000002,
    0.5876999999999999,
    0.6743000000000001,
    0.5441999999999999,
    0.5653999999999999,
    0.5038,
    0.31920000000000004,
    0.5293,
    0.5607,
    0.33970000000000006,
    0.4766999999999999,
    0.5225,
    0.39530000000000015,
    0.5999999999999998,
    0.34140000000000015,
    0.6217999999999999,
    0.41409999999999997,
    0.6399999999999999,
    0.6602,
    0.6272999999999996,
    0.5348,
    0.34070000000000006,
    0.5828000000000002,
    0.6219000000000003,
    0.4961999999999999,
    0.5727000000000001,
    0.5247,
    0.5528000000000002,
    0.36199999999999993,
    0.6124000000000002,
    0.36130000000000007,
    0.6498,
    0.6638000000000001,
    0.6968000000000002,
    0.5860000000000002,
    0.7048999999999999,
    0.6821000000000002,
    0.5728000000000002,
    0.3296,
    0.6046000000000001,
    0.5215000000000001,
    0.31590000000000007,
    0.553,
    0.5218000000000002,
    0.2877000000000001,
    0.35180000000000006,
    0.37320000000000003,
    0.5856000000000001,
    0.31359999999999993,
    0.4857,
    0.3437000000000001,
    0.34429999999999994,
    0.31900000000000006,
    0.4941,
    0.5603,
    0.29749999999999993,
    0.3802,
    0.5082000000000001,
    0.6053000000000001,
    0.33039999999999997,
    0.36089999999999994,
    0.3843000000000001,
    0.6199999999999998,
    0.6373000000000001,
    0.6028,
    0.34269999999999995,
    0.6099000000000001,
    0.5173,
    0.30019999999999997,
    0.5438,
    0.48199999999999993,
    0.3486,
    0.5794,
    0.5654,
    0.40930000000000005,
    0.6388999999999999,
    0.5500999999999997,
    0.5878999999999999,
    0.5179,
    0.5582999999999998,
    0.5205999999999998,
    0.4869000000000001,
    0.3402,
    0.4735999999999998,
    0.4786,
    0.5398000000000001,
    0.6121000000000003,
    0.5375,
    0.6739,
    0.6460000000000001,
    0.6552,
    0.6038000000000001,
    0.4702,
    0.6567999999999998,
    0.6343000000000002,
    0.6286999999999999,
    0.3464999999999999,
    0.36610000000000004,
    0.6132,
    0.47200000000000014,
    0.5119,
    0.42,
    0.41680000000000006,
    0.43689999999999996,
    0.6154000000000003,
    0.4345,
    0.6613,
    0.6034999999999999,
    0.6366999999999998,
    0.5600000000000002,
    0.41889999999999994,
    0.6708000000000001,
    0.6277999999999999,
    0.6001,
    0.6065999999999998,
    0.3696,
    0.29329999999999995,
    0.31240000000000007,
    0.3128000000000002,
    0.49660000000000004,
    0.3636000000000001,
    0.6184,
    0.4542,
    0.4069999999999999,
    0.3811,
    0.6776,
    0.6239000000000003,
    0.5690999999999998,
    0.5261,
    0.5265999999999998,
    0.5573,
    0.33049999999999996,
    0.5929999999999999,
    0.5831,
    0.6047999999999999,
    0.6746000000000002,
    0.6561,
    0.6459,
    0.7130000000000003,
    0.6826000000000002,
    0.6519000000000001,
    0.6737000000000001,
    0.6675000000000001,
    0.6235999999999998,
    0.5199999999999999,
    0.3735,
    0.6140999999999996,
    0.39170000000000005,
    0.5039999999999999,
    0.5802,
    0.5647000000000002,
    0.6037,
    0.40560000000000007,
    0.6124,
    0.46430000000000016,
    0.6900000000000002,
    0.6757000000000002,
    0.703,
    0.6801,
    0.6111000000000001,
    0.6351999999999998,
    0.5794000000000002,
    0.5992000000000002,
    0.36790000000000017,
    0.5040999999999999,
    0.49739999999999995,
    0.3618,
    0.5086000000000002,
    0.5383,
    0.5264000000000001,
    0.3999,
    0.6558,
    0.6522000000000001,
    0.6421000000000002,
    0.3405000000000001,
    0.5344,
    0.5464000000000002,
    0.5820000000000001,
    0.5904999999999999,
    0.34580000000000005,
    0.3692999999999999,
    0.5190999999999999,
    0.37760000000000016,
    0.5972999999999999,
    0.3884000000000001,
    0.6504999999999997,
    0.6683000000000001,
    0.6304999999999998,
    0.6719,
    0.3892,
    0.6845999999999999,
    0.6002999999999998,
    0.5918000000000001,
    0.6122999999999997,
    0.5969000000000001,
    0.5447,
    0.5755,
    0.5902000000000004,
    0.5422,
    0.386,
    0.6033999999999998,
    0.5413999999999997,
    0.5976999999999999,
    0.5089999999999998,
    0.5641000000000003,
    0.5040999999999997,
    0.5216000000000001,
    0.5767999999999998,
    0.5124999999999998,
    0.5893999999999997,
    0.5530999999999998,
    0.4581000000000001,
    0.5501999999999999,
    0.7099,
    0.6943999999999998,
    0.7376000000000003,
    0.40490000000000004,
    0.4906,
    0.6898,
    0.6366999999999999,
    0.6786000000000002,
    0.6885000000000001,
    0.7622000000000002,
    0.6400000000000001,
    0.6352000000000002,
    0.6296,
    0.5307,
    0.6398999999999999,
    0.4711999999999999,
    0.4643,
    0.6264000000000001,
    0.6697000000000002,
    0.5985999999999998,
    0.6841000000000003,
    0.5767000000000002,
    0.5630999999999999,
    0.6599,
    0.6255,
    0.3856,
    0.31509999999999994,
    0.42619999999999997,
    0.40620000000000006,
    0.5822000000000002,
    0.3425,
    0.538,
    0.6038999999999999,
    0.6538000000000002,
    0.37030000000000013,
    0.4144,
    0.45369999999999994,
    0.6605999999999999,
    0.6076000000000001,
    0.3708000000000002,
    0.5933999999999999,
    0.6573,
    0.5708000000000001,
    0.6499999999999997,
    0.41020000000000006,
    0.43010000000000015,
    0.3771,
    0.41349999999999987,
    0.6674,
    0.3942,
    0.41509999999999986,
    0.6774,
    0.6186999999999997,
    0.679,
    0.6239999999999999,
    0.6937999999999996,
    0.7175,
    0.7003,
    0.7348,
    0.6592999999999997,
    0.6384999999999998,
    0.38389999999999996,
    0.6429000000000001,
    0.3727999999999999,
    0.3492999999999999,
    0.5697000000000001,
    0.5352999999999999,
    0.5433999999999999,
    0.5389999999999998,
    0.5868000000000002,
    0.6164,
    0.6725999999999999,
    0.6521999999999999,
    0.7377999999999999,
    0.4831,
    0.678,
    0.6466000000000001,
    0.5493,
    0.40659999999999985,
    0.38200000000000006,
    0.5183,
    0.36640000000000006,
    0.5934,
    0.3795999999999998,
    0.3237000000000001,
    0.6504000000000001,
    0.6230000000000002,
    0.6088999999999999,
    0.5696,
    0.5955000000000003,
    0.5254,
    0.549,
    0.39010000000000006,
    0.6567000000000002,
    0.6634,
    0.44299999999999995,
    0.5953999999999999,
    0.5746000000000002,
    0.6899,
    0.6597999999999999,
    0.3852000000000001,
    0.43559999999999993,
    0.6734000000000002,
    0.4112000000000001,
    0.6123999999999999,
    0.34899999999999987,
    0.6510999999999999,
    0.5776,
    0.3427,
    0.6016,
    0.5497000000000001,
    0.41960000000000003,
    0.6454000000000001,
    0.6694000000000002,
    0.4465000000000001,
    0.6774000000000001,
    0.45370000000000005,
    0.6376999999999999,
    0.6733999999999998,
    0.6094,
    0.36179999999999995,
    0.3768,
    0.39259999999999995,
    0.5179,
    0.49500000000000005,
    0.4759,
    0.5258999999999999,
    0.48499999999999993,
    0.6177999999999999,
    0.5961,
    0.6365999999999999,
    0.35300000000000004,
    0.4230000000000001,
    0.5761,
    0.5772,
    0.6026999999999999,
    0.5426999999999998,
    0.5281,
    0.576,
    0.5642,
    0.5231,
    0.39170000000000005,
    0.37870000000000004,
    0.4155999999999999,
    0.5971000000000002,
    0.5743999999999999,
    0.6258000000000002,
    0.5444999999999998,
    0.6963999999999998,
    0.557,
    0.3932,
    0.6546000000000001,
    0.6070000000000001,
    0.3509,
    0.5741000000000002,
    0.5414000000000002,
    0.2830000000000001,
    0.31580000000000014,
    0.3045000000000001,
    0.4934000000000001,
    0.27299999999999996,
    0.6054999999999999,
    0.6167999999999999,
    0.3893,
    0.3385000000000001,
    0.5896,
    0.5859000000000001,
    0.5457,
    0.2891000000000001,
    0.5239999999999999,
    0.5409000000000003,
    0.5533999999999998,
    0.5759000000000002,
    0.36519999999999997,
    0.3663,
    0.6104000000000002,
    0.5183000000000002,
    0.4691000000000001,
    0.5421000000000002,
    0.6307000000000001,
    0.4067000000000001,
    0.6007,
    0.5990000000000001,
    0.6385000000000002,
    0.6131000000000002,
    0.6377999999999999,
    0.6994000000000001,
    0.6046999999999996,
    0.5008999999999998,
    0.3294,
    0.5850000000000002,
    0.31329999999999997,
    0.5065999999999999,
    0.5611,
    0.5072,
    0.5538000000000002,
    0.3704000000000001,
    0.6052000000000001,
    0.5544999999999999,
    0.6417,
    0.6642000000000001,
    0.6940999999999998,
    0.7465000000000002,
    0.6997,
    0.6597,
    0.5482999999999999,
    0.34149999999999986,
    0.5967000000000002,
    0.5307999999999998,
    0.3561000000000001,
    0.5725,
    0.5490999999999999,
    0.29759999999999986,
    0.39230000000000004,
    0.6478999999999999,
    0.6581000000000001,
    0.6095,
    0.5790000000000002,
    0.7073,
    0.3705,
    0.5192000000000001,
    0.5410999999999999,
    0.5725000000000001,
    0.3675,
    0.6034999999999999,
    0.6326,
    0.32870000000000005,
    0.39020000000000005,
    0.5036,
    0.5278999999999997,
    0.5495000000000001,
    0.34070000000000017,
    0.3263000000000001,
    0.5964999999999999,
    0.5959999999999999,
    0.6412999999999999,
    0.3413999999999999,
    0.5557999999999998,
    0.5756000000000001,
    0.5670000000000001,
    0.5697,
    0.357,
    0.5215000000000003,
    0.5758000000000003,
    0.36410000000000003,
    0.3965000000000001,
    0.5904000000000003,
    0.3732000000000001,
    0.627,
    0.36939999999999995,
    0.5478,
    0.32450000000000007,
    0.45410000000000006,
    0.3061,
    0.4378999999999998,
    0.46949999999999986,
    0.45099999999999996,
    0.5271000000000001,
    0.522,
    0.6540000000000001,
    0.5981999999999997,
    0.6322000000000001,
    0.399,
    0.42200000000000015,
    0.5902,
    0.5867,
    0.5765,
    0.36260000000000003,
    0.2999,
    0.26180000000000003,
    0.462,
    0.3751999999999999,
    0.4936,
    0.3338,
    0.48839999999999983,
    0.29609999999999986,
    0.48179999999999995,
    0.5832,
    0.32859999999999995,
    0.6278999999999999,
    0.5774999999999999,
    0.6501,
    0.6235000000000002,
    0.3903000000000001,
    0.6654999999999998,
    0.6080000000000001,
    0.3341,
    0.34119999999999995,
    0.33649999999999997,
    0.33359999999999995,
    0.2614000000000001,
    0.2792,
    0.4822000000000002,
    0.3497000000000001,
    0.5712000000000002,
    0.6129,
    0.3546000000000001,
    0.3214999999999998,
    0.5933,
    0.6151000000000001,
    0.5333,
    0.49650000000000005,
    0.33889999999999987,
    0.49449999999999994,
    0.49489999999999984,
    0.5148,
    0.5306000000000001,
    0.5851,
    0.3363000000000002,
    0.5083000000000001,
    0.6146000000000001,
    0.4023,
    0.5849000000000001,
    0.5869999999999999,
    0.6517,
    0.5236,
    0.5862,
    0.37489999999999996,
    0.5329999999999997,
    0.4539999999999999,
    0.29330000000000017,
    0.5130000000000001,
    0.48490000000000005,
    0.47539999999999993,
    0.5607000000000001,
    0.5294,
    0.5503000000000001,
    0.34430000000000005,
    0.552,
    0.4009,
    0.5991000000000002,
    0.6138999999999999,
    0.6990000000000001,
    0.44079999999999997,
    0.6381,
    0.6117000000000001,
    0.4934,
    0.3228,
    0.3664000000000001,
    0.5184000000000001,
    0.32239999999999996,
    0.5677999999999999,
    0.6368000000000001,
    0.38970000000000016,
    0.4124999999999999,
    0.6143000000000003,
    0.6336,
    0.6145000000000002,
    0.6004,
    0.5772000000000003,
    0.3425,
    0.48380000000000006,
    0.49739999999999995,
    0.612,
    0.3935999999999999,
    0.40620000000000017,
    0.6141000000000002,
    0.6598999999999999,
    0.34160000000000007,
    0.39659999999999995,
    0.5418000000000001,
    0.3935000000000001,
    0.5799999999999998,
    0.35720000000000013,
    0.33940000000000003,
    0.6257,
    0.6104000000000002,
    0.6256999999999998,
    0.3319000000000001,
    0.5968,
    0.6104000000000003,
    0.5107999999999998,
    0.6222000000000001,
    0.5204,
    0.5261000000000001,
    0.6203000000000001,
    0.5503000000000001,
    0.40380000000000005,
    0.6159999999999998,
    0.6034,
    0.6446000000000001,
    0.5197999999999998,
    0.5690000000000001,
    0.3641,
    0.5327,
    0.5351999999999997,
    0.4794,
    0.5126999999999999,
    0.5819,
    0.6356000000000002,
    0.5660000000000001,
    0.6853,
    0.6405000000000001,
    0.6264,
    0.5547999999999997,
    0.5722,
    0.6202000000000001,
    0.42000000000000004,
    0.6157000000000001,
    0.39059999999999995,
    0.6109999999999999,
    0.5549,
    0.31370000000000003,
    0.3849,
    0.49439999999999995,
    0.3841999999999999,
    0.4151,
    0.5874,
    0.6144,
    0.6418999999999999,
    0.5823999999999999,
    0.6039000000000002,
    0.5393,
    0.37450000000000006,
    0.6379999999999998,
    0.6071999999999999,
    0.35419999999999996,
    0.36229999999999996,
    0.5468999999999998,
    0.38739999999999997,
    0.5383000000000001,
    0.3059000000000001,
    0.49060000000000004,
    0.3513,
    0.5842,
    0.34500000000000003,
    0.6053999999999997,
    0.3487,
    0.6380999999999999,
    0.6341000000000001,
    0.6082999999999998,
    0.5628000000000002,
    0.3729,
    0.5986,
    0.5911999999999998,
    0.32530000000000003,
    0.6579999999999999,
    0.4229,
    0.3770000000000002,
    0.6329000000000001,
    0.6179,
    0.6155,
    0.6287999999999998,
    0.38930000000000003,
    0.6335999999999998,
    0.3655,
    0.6759999999999998,
    0.6980999999999999,
    0.6055999999999998,
    0.5370000000000001,
    0.3711,
    0.6115000000000002,
    0.5056,
    0.511,
    0.5775000000000001,
    0.5258000000000002,
    0.5614000000000002,
    0.5556000000000001,
    0.6268000000000004,
    0.40259999999999996,
    0.6348000000000003,
    0.6228,
    0.6243000000000002,
    0.47369999999999995,
    0.6645999999999995,
    0.6336,
    0.5401,
    0.32649999999999996,
    0.3656999999999999,
    0.5255,
    0.3723000000000003,
    0.6013000000000004,
    0.37449999999999994,
    0.5906999999999998,
    0.634,
    0.6321000000000001,
    0.641,
    0.5523000000000001,
    0.5528,
    0.39740000000000025,
    0.5312,
    0.3639,
    0.5947000000000001,
    0.5948,
    0.31889999999999996,
    0.3854000000000001,
    0.5662999999999999,
    0.5501999999999999,
    0.3520000000000001,
    0.35030000000000017,
    0.5672,
    0.6028999999999999,
    0.389,
    0.582,
    0.334,
    0.6007,
    0.5568999999999998,
    0.3197999999999999,
    0.5775000000000001,
    0.5079000000000001,
    0.34609999999999996,
    0.6201000000000002,
    0.6342000000000001,
    0.4348,
    0.6259,
    0.3837000000000001,
    0.6224000000000003,
    0.5098,
    0.5636,
    0.5866,
    0.5083000000000001,
    0.2763,
    0.5058,
    0.5796,
    0.5391999999999998,
    0.6096,
    0.5634000000000002,
    0.6882999999999998,
    0.6350999999999998,
    0.6009,
    0.3973,
    0.6283000000000001,
    0.5923999999999999,
    0.6413,
    0.6531999999999997,
    0.4152,
    0.6195000000000002,
    0.6585000000000002,
    0.6100000000000001,
    0.6302000000000002,
    0.3764,
    0.35620000000000007,
    0.5647000000000002,
    0.2941999999999999,
    0.5699,
    0.5673999999999998,
    0.5422000000000002,
    0.2926000000000001,
    0.3036999999999999,
    0.27819999999999995,
    0.5264000000000001,
    0.3216999999999999,
    0.3440999999999998,
    0.3199,
    0.3176,
    0.2785000000000001,
    0.34550000000000003,
    0.28929999999999984,
    0.33630000000000004,
    0.5701,
    0.3254000000000001,
    0.35159999999999997,
    0.5614999999999999,
    0.5766,
    0.3453999999999999,
    0.32730000000000004,
    0.28450000000000003,
    0.28790000000000004,
    0.5307000000000001,
    0.30269999999999986,
    0.5156000000000001,
    0.293,
    0.5220999999999999,
    0.33840000000000003,
    0.29449999999999993,
    0.2997999999999999,
    0.28440000000000004,
    0.2643,
    0.2836,
    0.26399999999999985,
    0.2539,
    0.3941,
    0.4070999999999999,
    0.21020000000000003,
    0.1885,
    0.17940000000000006,
    0.20350000000000001,
    0.16579999999999998,
    0.3533999999999999,
    0.1756,
    0.18,
    0.19690000000000005,
    0.18639999999999998,
    0.40709999999999985,
    0.41609999999999997,
    0.39580000000000004,
    0.40029999999999993,
    0.16979999999999987,
    0.17060000000000003,
    0.3811,
    0.4134,
    0.3797,
    0.1827000000000001,
    0.20850000000000005,
    0.19280000000000003,
    0.19429999999999997,
    0.4227999999999999,
    0.20380000000000006,
    0.21389999999999998,
    0.21640000000000004,
    0.22789999999999996,
    0.23849999999999993,
    0.23490000000000005,
    0.25489999999999996,
    0.2323999999999999,
    0.49510000000000015,
    0.4558,
    0.4335,
    0.4197000000000001,
    0.5081000000000001,
    0.32449999999999996,
    0.24179999999999993,
    0.5485000000000001,
    0.5769000000000003,
    0.27649999999999997,
    0.37100000000000005,
    0.5803000000000001,
    0.37850000000000006,
    0.5724999999999999,
    0.31759999999999994,
    0.5761999999999999,
    0.5724999999999999,
    0.37389999999999995,
    0.6224999999999996,
    0.5898999999999999,
    0.5517999999999998,
    0.314,
    0.49699999999999994,
    0.3422,
    0.2610000000000002,
    0.2954000000000001,
    0.4781,
    0.28269999999999984,
    0.5667000000000001,
    0.5810999999999998,
    0.5918,
    0.34070000000000017,
    0.6274000000000001,
    0.6214000000000002,
    0.5371999999999999,
    0.5093,
    0.4603999999999999,
    0.31510000000000005,
    0.47719999999999996,
    0.46209999999999996,
    0.49429999999999996,
    0.2554,
    0.32550000000000007,
    0.5241999999999999,
    0.5724,
    0.5976999999999998,
    0.3218000000000002,
    0.613,
    0.4033999999999999,
    0.6078000000000002,
    0.5964999999999998,
    0.5974999999999998,
    0.4813999999999999,
    0.48769999999999997,
    0.5897000000000002,
    0.5493000000000001,
    0.33509999999999984,
    0.5502,
    0.5356,
    0.5408,
    0.3333999999999999,
    0.6081000000000002,
    0.5576,
    0.6122999999999998,
    0.6372000000000002,
    0.6924000000000001,
    0.6704000000000001,
    0.6824000000000002,
    0.6421,
    0.5572,
    0.32120000000000004,
    0.3232000000000001,
    0.6064999999999999,
    0.499,
    0.32610000000000017,
    0.5433,
    0.5095000000000001,
    0.29329999999999995,
    0.34370000000000006,
    0.5646999999999999,
    0.5729999999999998,
    0.36790000000000006,
    0.37060000000000004,
    0.5251000000000001,
    0.32299999999999995,
    0.3611000000000001,
    0.5035999999999998,
    0.5010000000000001,
    0.3625999999999999,
    0.5716,
    0.3134,
    0.36839999999999995,
    0.4969,
    0.4113000000000001,
    0.5375000000000001,
    0.37009999999999993,
    0.5892999999999998,
    0.6464000000000002,
    0.6087,
    0.6855,
    0.6251999999999999,
    0.6427999999999998,
    0.6609000000000004,
    0.3506000000000001,
    0.6048999999999999,
    0.5044,
    0.5850000000000001,
    0.5919,
    0.5964,
    0.4242000000000001,
    0.6701999999999998,
    0.41960000000000025,
    0.6638,
    0.4006000000000001,
    0.5833000000000003,
    0.3472999999999998,
    0.523,
    0.5627999999999996,
    0.4834999999999999,
    0.5009,
    0.3763,
    0.6356000000000002,
    0.5406,
    0.6938,
    0.6950999999999998,
    0.6913000000000002,
    0.4057000000000001,
    0.4433000000000001,
    0.6444000000000002,
    0.3699999999999999,
    0.6432,
    0.5782999999999998,
    0.3634999999999999,
    0.5322,
    0.5050000000000001,
    0.5558,
    0.3475,
    0.6981000000000003,
    0.6577,
    0.6700000000000002,
    0.6711999999999999,
    0.7097000000000001,
    0.6248,
    0.7147,
    0.47339999999999993,
    0.4323000000000001,
    0.6787000000000002,
    0.6296,
    0.5967000000000002,
    0.6004999999999999,
    0.34559999999999996,
    0.3041999999999999,
    0.3118000000000001,
    0.29700000000000004,
    0.4783000000000002,
    0.3346000000000001,
    0.5712999999999999,
    0.5713999999999999,
    0.3603,
    0.302,
    0.6126,
    0.6042999999999998,
    0.5488,
    0.5585,
    0.36859999999999987,
    0.29950000000000004,
    0.5295000000000002,
    0.5361000000000002,
    0.5294999999999999,
    0.5432000000000001,
    0.5089999999999999,
    0.3600999999999998,
    0.4715999999999999,
    0.2619000000000001,
    0.2239000000000001,
    0.4258999999999999,
    0.25550000000000006,
    0.39079999999999987,
    0.3872000000000001,
    0.4151999999999999,
    0.2910999999999999,
    0.44270000000000015,
    0.4751000000000001,
    0.5137000000000002,
    0.5823,
    0.31540000000000007,
    0.49769999999999986,
    0.5923000000000002,
    0.5634999999999998,
    0.5688,
    0.3111999999999999,
    0.3914000000000001,
    0.36079999999999995,
    0.3005,
    0.3490000000000001,
    0.5037999999999999,
    0.5681999999999999,
    0.5698,
    0.6205999999999999,
    0.5418000000000002,
    0.6020999999999999,
    0.5493999999999998,
    0.6565,
    0.3972000000000001,
    0.5739999999999995,
    0.5093999999999999,
    0.5624000000000005,
    0.36210000000000003,
    0.36689999999999995,
    0.5075999999999999,
    0.5549000000000003,
    0.4778999999999999,
    0.5396000000000001,
    0.3577000000000001,
    0.6014,
    0.5427000000000001,
    0.6234,
    0.6801000000000003,
    0.7143,
    0.6507,
    0.6659000000000003,
    0.6429000000000001,
    0.5339999999999998,
    0.5477999999999998,
    0.39519999999999994,
    0.34930000000000005,
    0.32040000000000013,
    0.5308999999999999,
    0.48810000000000003,
    0.5075,
    0.5611000000000002,
    0.6007999999999999,
    0.5990000000000001,
    0.38120000000000004,
    0.5536000000000001,
    0.54,
    0.37100000000000005,
    0.5417000000000001,
    0.49820000000000003,
    0.5114,
    0.3189000000000001,
    0.3657,
    0.5758000000000002,
    0.3199000000000001,
    0.3611,
    0.3378,
    0.5596,
    0.6365999999999999,
    0.32509999999999994,
    0.6318000000000001,
    0.6426999999999998,
    0.6293,
    0.6093999999999999,
    0.3629000000000001,
    0.6034000000000002,
    0.5959000000000002,
    0.33849999999999997,
    0.6071,
    0.513,
    0.3562000000000001,
    0.6084000000000003,
    0.6997000000000001,
    0.46960000000000013,
    0.6521000000000001,
    0.3935000000000001,
    0.6584000000000002,
    0.5442,
    0.5794999999999998,
    0.3369999999999999,
    0.5310000000000001,
    0.5275999999999997,
    0.48379999999999995,
    0.3618,
    0.6344000000000001,
    0.6165999999999999,
    0.5458999999999999,
    0.7128000000000001,
    0.702,
    0.6872000000000001,
    0.43069999999999997,
    0.7274,
    0.6827000000000001,
    0.35730000000000006,
    0.5889000000000001,
    0.40609999999999996,
    0.6403999999999999,
    0.5474000000000002,
    0.5055000000000001,
    0.6251,
    0.5258999999999999,
    0.3977,
    0.6668999999999998,
    0.6213000000000002,
    0.6303,
    0.6693000000000002,
    0.6097999999999999,
    0.6757,
    0.5677,
    0.3944999999999999,
    0.6734,
    0.6534999999999999,
    0.6037000000000002,
    0.38450000000000006,
    0.5327000000000002,
    0.31059999999999993,
    0.3134,
    0.2975,
    0.48559999999999987,
    0.4988999999999999,
    0.6062999999999997,
    0.6569999999999998,
    0.3853999999999999,
    0.3869000000000001,
    0.6568999999999997,
    0.6686000000000002,
    0.5918999999999999,
    0.6015,
    0.33969999999999984,
    0.6318,
    0.43520000000000003,
    0.5747999999999998,
    0.4091,
    0.6205,
    0.6172999999999998,
    0.6485,
    0.6065999999999996,
    0.6401,
    0.6548999999999998,
    0.6167999999999998,
    0.6040999999999999,
    0.36980000000000013,
    0.6934,
    0.6365999999999999,
    0.6828000000000001,
    0.6663,
    0.6698,
    0.5996999999999999,
    0.4021999999999999,
    0.6523,
    0.6617,
    0.6318,
    0.5977,
    0.5611,
    0.6401999999999999,
    0.3929000000000001,
    0.6363,
    0.5978000000000001,
    0.7351000000000002,
    0.6727999999999997,
    0.7584000000000001,
    0.777,
    0.7361999999999997,
    0.6929,
    0.6232000000000002,
    0.7111999999999999,
    0.3898999999999999,
    0.6209000000000001,
    0.6311000000000002,
    0.7187999999999999,
    0.6389999999999999,
    0.4683,
    0.4775000000000001,
    0.4377000000000001,
    0.6218000000000001,
    0.6542,
    0.7054,
    0.6116999999999999,
    0.5671,
    0.4108999999999999,
    0.3733000000000001,
    0.3185,
    0.42910000000000015,
    0.43489999999999995,
    0.45820000000000005,
    0.6241999999999999,
    0.6296999999999998,
    0.3607000000000001,
    0.36549999999999994,
    0.38740000000000013,
    0.5627999999999999,
    0.5861999999999998,
    0.5539,
    0.3877,
    0.6097,
    0.6474,
    0.5894000000000003,
    0.33660000000000007,
    0.6456000000000002,
    0.32399999999999995,
    0.3302,
    0.5843999999999999,
    0.48870000000000013,
    0.30419999999999997,
    0.6329000000000001,
    0.6432000000000002,
    0.34479999999999994,
    0.4103000000000001,
    0.6650000000000003,
    0.3537000000000001,
    0.6093999999999998,
    0.4939000000000001,
    0.5656,
    0.47369999999999995,
    0.49360000000000015,
    0.5045,
    0.4418999999999999,
    0.47319999999999995,
    0.4833,
    0.5402000000000001,
    0.4612,
    0.6124000000000002,
    0.5867999999999999,
    0.6752000000000001,
    0.5449999999999996,
    0.6258,
    0.5673999999999999,
    0.3346000000000001,
    0.6315999999999997,
    0.3619,
    0.3502,
    0.5599000000000002,
    0.5885999999999998,
    0.5452,
    0.32839999999999997,
    0.3313999999999999,
    0.29150000000000015,
    0.4719,
    0.5560000000000002,
    0.2985000000000001,
    0.5707000000000001,
    0.6549000000000001,
    0.5859999999999999,
    0.6332000000000001,
    0.5991999999999998,
    0.6580999999999999,
    0.37620000000000003,
    0.37370000000000003,
    0.6368999999999999,
    0.5860000000000001,
    0.5795000000000001,
    0.5696,
    0.5785000000000002,
    0.2656000000000002,
    0.3041000000000001,
    0.31889999999999996,
    0.3538000000000001,
    0.35299999999999987,
    0.5639000000000002,
    0.6460000000000001,
    0.35689999999999983,
    0.3144,
    0.6357000000000002,
    0.6443999999999996,
    0.5813000000000003,
    0.5986000000000002,
    0.40709999999999996,
    0.6587000000000001,
    0.6500999999999999,
    0.6210999999999999,
    0.36509999999999987,
    0.3806999999999999,
    0.5915999999999999,
    0.5493000000000001,
    0.3605000000000001,
    0.3347000000000002,
    0.5177999999999999,
    0.5252,
    0.5955999999999996,
    0.3695000000000002,
    0.4038,
    0.6427999999999998,
    0.6333,
    0.41830000000000017,
    0.3495000000000001,
    0.6218,
    0.3561999999999999,
    0.3324000000000001,
    0.5909,
    0.6303000000000002,
    0.34319999999999995,
    0.6438000000000003,
    0.6404999999999998,
    0.6711000000000001,
    0.6417999999999998,
    0.6325000000000001,
    0.6746000000000002,
    0.45100000000000007,
    0.6797000000000002,
    0.6667000000000001,
    0.5918999999999995,
    0.5134000000000001,
    0.5187,
    0.6461999999999999,
    0.5478000000000002,
    0.4742999999999999,
    0.5790000000000001,
    0.5017,
    0.5418,
    0.3517,
    0.6165999999999999,
    0.39429999999999993,
    0.6436000000000001,
    0.6547999999999999,
    0.7207,
    0.6667000000000002,
    0.7122000000000004,
    0.6495999999999998,
    0.5420999999999999,
    0.3136999999999999,
    0.5957000000000001,
    0.5343999999999999,
    0.3293,
    0.5751999999999999,
    0.5431999999999999,
    0.31410000000000005,
    0.4009,
    0.5932999999999998,
    0.6119999999999998,
    0.5250999999999999,
    0.3914000000000002,
    0.5672,
    0.31460000000000005,
    0.4989999999999999,
    0.3729000000000001,
    0.5490999999999998,
    0.52,
    0.38870000000000005,
    0.6043,
    0.3598,
    0.36450000000000005,
    0.5241000000000001,
    0.5917000000000001,
    0.5866,
    0.36839999999999984,
    0.5981999999999997,
    0.6372999999999999,
    0.6762000000000001,
    0.6649000000000002,
    0.3762,
    0.6364000000000001,
    0.6254000000000002,
    0.3514,
    0.6063999999999999,
    0.5531999999999999,
    0.6361,
    0.6846000000000001,
    0.6746,
    0.4992000000000001,
    0.7064999999999998,
    0.45220000000000005,
    0.6697,
    0.4260000000000001,
    0.6126,
    0.3691999999999999,
    0.5506,
    0.6049,
    0.42109999999999986,
    0.6632000000000001,
    0.758,
    0.6844000000000001,
    0.4072,
    0.7716000000000001,
    0.6949,
    0.67,
    0.41,
    0.5082000000000001,
    0.6516000000000001,
    0.3950999999999999,
    0.6572000000000003,
    0.7006,
    0.5809000000000001,
    0.4017999999999999,
    0.5808000000000001,
    0.6242,
    0.3442999999999998,
    0.41459999999999997,
    0.39520000000000005,
    0.6636000000000001,
    0.6629,
    0.6790999999999999,
    0.6778,
    0.7487999999999999,
    0.5901,
    0.4425,
    0.704,
    0.6644999999999998,
    0.5770999999999997,
    0.6306,
    0.43779999999999997,
    0.40020000000000006,
    0.3076000000000001,
    0.3282999999999999,
    0.4992000000000001,
    0.3682,
    0.5872999999999999,
    0.352,
    0.4136000000000001,
    0.6567000000000001,
    0.6708999999999996,
    0.6311999999999999,
    0.36859999999999987,
    0.4120000000000001,
    0.3646999999999999,
    0.5756000000000001,
    0.5808999999999996,
    0.4690999999999999,
    0.28230000000000005,
    0.3503000000000001,
    0.5145000000000002,
    0.5025999999999997,
    0.4865,
    0.6286999999999999,
    0.5117999999999999,
    0.5361,
    0.5550000000000003,
    0.5718999999999999,
    0.36200000000000004,
    0.6196999999999996,
    0.661,
    0.3472,
    0.6394000000000001,
    0.6023,
    0.6287000000000001,
    0.5497999999999997,
    0.5282999999999999,
    0.3274000000000001,
    0.5302999999999998,
    0.5721999999999998,
    0.312,
    0.5357999999999998,
    0.32330000000000014,
    0.6204000000000001,
    0.5597000000000002,
    0.5925,
    0.5887000000000001,
    0.5863,
    0.5149999999999998,
    0.5249000000000001,
    0.5671000000000002,
    0.5836000000000001,
    0.3242999999999999,
    0.5967999999999999,
    0.5992000000000003,
    0.3923000000000001,
    0.32599999999999985,
    0.5382000000000001,
    0.5565999999999999,
    0.6101000000000001,
    0.6749,
    0.6134,
    0.6163,
    0.6434999999999998,
    0.6169999999999995,
    0.5547,
    0.6081000000000001,
    0.5907000000000001,
    0.5669000000000001,
    0.48100000000000004,
    0.36589999999999995,
    0.5748,
    0.3601,
    0.3271,
    0.5612000000000001,
    0.5716000000000001,
    0.551,
    0.3378000000000001,
    0.5589000000000003,
    0.3985000000000001,
    0.6309000000000002,
    0.6683000000000001,
    0.7248999999999999,
    0.6720000000000004,
    0.6563999999999999,
    0.6994000000000001,
    0.5213999999999998,
    0.3113999999999999,
    0.33059999999999995,
    0.3283,
    0.28590000000000004,
    0.34030000000000005,
    0.5441,
    0.4038,
    0.39409999999999995,
    0.6455999999999997,
    0.673,
    0.6605,
    0.3781,
    0.6278,
    0.6008,
    0.3299,
    0.5041999999999999,
    0.3709999999999999,
    0.34710000000000013,
    0.51,
    0.583,
    0.5447,
    0.3593,
    0.5028,
    0.5761000000000001,
    0.5983999999999998,
    0.3441999999999999,
    0.37710000000000005,
    0.6510000000000001,
    0.6256000000000002,
    0.6356000000000002,
    0.6185999999999998,
    0.5478000000000002,
    0.6450000000000005,
    0.3963999999999999,
    0.6290999999999999,
    0.5569999999999999,
    0.6805999999999998,
    0.6722999999999999,
    0.4774999999999999,
    0.46150000000000013,
    0.7018999999999997,
    0.40460000000000007,
    0.6327999999999999,
    0.697,
    0.6457,
    0.3795000000000001,
    0.6350000000000001,
    0.6589,
    0.6551000000000001,
    0.7049999999999997,
    0.6655999999999999,
    0.5678999999999997,
    0.3817999999999998,
    0.6328000000000001,
    0.5801000000000002,
    0.4847999999999999,
    0.48210000000000003,
    0.5280000000000001,
    0.5618,
    0.37119999999999986,
    0.5495000000000002,
    0.5702999999999998,
    0.6771000000000003,
    0.6391000000000001,
    0.6452000000000002,
    0.6405000000000001,
    0.6532999999999999,
    0.6142999999999997,
    0.5388000000000002,
    0.6122999999999997,
    0.5164000000000001,
    0.4979000000000002,
    0.5437999999999997,
    0.5777,
    0.2849999999999999,
    0.2838000000000001,
    0.5317000000000001,
    0.38899999999999996,
    0.5756000000000003,
    0.3569000000000001,
    0.36350000000000005,
    0.3824000000000001,
    0.38319999999999993,
    0.5868999999999998,
    0.38539999999999996,
    0.5861000000000002,
    0.31359999999999993,
    0.3671000000000001,
    0.28599999999999987,
    0.397,
    0.5313999999999999,
    0.3745000000000001,
    0.5916,
    0.6083000000000002,
    0.6286999999999999,
    0.5777,
    0.32239999999999996,
    0.6551999999999998,
    0.5998000000000002,
    0.3391000000000001,
    0.6190000000000002,
    0.6053,
    0.5607,
    0.5956000000000001,
    0.5885,
    0.39690000000000003,
    0.569,
    0.3983000000000001,
    0.6369,
    0.3852999999999999,
    0.6286,
    0.3603,
    0.4925,
    0.5769000000000001,
    0.48999999999999994,
    0.5316000000000002,
    0.3848,
    0.6168000000000001,
    0.3415999999999999,
    0.6981999999999998,
    0.6748999999999999,
    0.6656,
    0.3896,
    0.4423,
    0.6906999999999999,
    0.6234,
    0.6031000000000003,
    0.3992000000000001,
    0.5417,
    0.5493999999999999,
    0.4865,
    0.5954000000000002,
    0.5187,
    0.3745999999999998,
    0.6475000000000002,
    0.6506,
    0.6379999999999999,
    0.7036000000000002,
    0.6798000000000001,
    0.673,
    0.5636999999999999,
    0.38860000000000006,
    0.6699999999999998,
    0.6443999999999999,
    0.5774999999999998,
    0.4157,
    0.3722000000000001,
    0.3658000000000001,
    0.4949000000000001,
    0.3742000000000001,
    0.40600000000000014,
    0.6110000000000002,
    0.6292,
    0.6571000000000002,
    0.7001999999999999,
    0.39770000000000005,
    0.6327999999999999,
    0.7320999999999998,
    0.6470999999999999,
    0.6238000000000001,
    0.6861,
    0.3886000000000001,
    0.3789,
    0.36229999999999996,
    0.3248000000000001,
    0.5448000000000001,
    0.5542999999999998,
    0.3600000000000001,
    0.6851,
    0.6586999999999997,
    0.6148999999999999,
    0.6368999999999999,
    0.6490999999999999,
    0.6250999999999999,
    0.5874999999999999,
    0.6203,
    0.43300000000000016,
    0.6290999999999998,
    0.5643999999999999,
    0.35889999999999994,
    0.6201000000000001,
    0.5800000000000002,
    0.5257999999999999,
    0.5778000000000003,
    0.5118000000000001,
    0.5651000000000002,
    0.36959999999999993,
    0.6153999999999998,
    0.5775999999999999,
    0.6747,
    0.6836999999999999,
    0.7210000000000001,
    0.7298000000000001,
    0.7309999999999999,
    0.6692999999999999,
    0.5569999999999999,
    0.31590000000000007,
    0.5288000000000003,
    0.5061,
    0.31690000000000007,
    0.5357999999999997,
    0.5186,
    0.5672000000000001,
    0.6021,
    0.6185999999999999,
    0.6098999999999999,
    0.4195999999999998,
    0.4139,
    0.5635000000000001,
    0.6003999999999998,
    0.5388000000000002,
    0.6301000000000001,
    0.5693000000000001,
    0.4167,
    0.6247000000000003,
    0.39349999999999996,
    0.38230000000000003,
    0.506,
    0.5545,
    0.5707,
    0.3655999999999998,
    0.5911999999999995,
    0.6053000000000001,
    0.5529,
    0.6506,
    0.5741999999999998,
    0.3724000000000001,
    0.5369,
    0.6224,
    0.5598999999999998,
    0.6090000000000001,
    0.5239000000000001,
    0.5971,
    0.6189000000000001,
    0.7068999999999999,
    0.4533000000000001,
    0.6516000000000003,
    0.448,
    0.6522,
    0.6697999999999997,
    0.6426,
    0.3653,
    0.5566000000000002,
    0.4208000000000001,
    0.4965,
    0.6340000000000002,
    0.5955999999999998,
    0.6175000000000002,
    0.5309999999999999,
    0.6617,
    0.6403,
    0.6629,
    0.6116999999999998,
    0.6694,
    0.6061000000000002,
    0.3632,
    0.6038000000000002,
    0.3799,
    0.32810000000000006,
    0.5000999999999999,
    0.5166,
    0.3574999999999999,
    0.3454000000000001,
    0.38509999999999994,
    0.6375000000000001,
    0.6569,
    0.6511,
    0.6666999999999998,
    0.4823,
    0.7186,
    0.4049,
    0.6820999999999997,
    0.6644999999999999,
    0.6301999999999999,
    0.5418000000000001,
    0.38880000000000003,
    0.5564,
    0.28459999999999996,
    0.46849999999999986,
    0.27870000000000006,
    0.45780000000000004,
    0.37690000000000007,
    0.5511999999999998,
    0.6061,
    0.39359999999999995,
    0.3916,
    0.6286,
    0.6434,
    0.6704999999999999,
    0.5935999999999999,
    0.5547000000000001,
    0.5015,
    0.3990999999999999,
    0.6288999999999997,
    0.6763,
    0.31289999999999984,
    0.3448,
    0.6310000000000004,
    0.3055,
    0.3407,
    0.6167,
    0.6248,
    0.6160999999999999,
    0.3393999999999999,
    0.659,
    0.6316000000000002,
    0.6525,
    0.34890000000000004,
    0.5896999999999998,
    0.4934999999999999,
    0.44060000000000005,
    0.4701999999999999,
    0.47649999999999987,
    0.2809,
    0.5805000000000003,
    0.4,
    0.33479999999999993,
    0.5746999999999998,
    0.6256999999999999,
    0.6727000000000001,
    0.6584,
    0.6773000000000001,
    0.6374,
    0.349,
    0.4991,
    0.36700000000000005,
    0.35720000000000013,
    0.4929,
    0.3796999999999999,
    0.5311000000000001,
    0.3923000000000001,
    0.34379999999999994,
    0.5967999999999998,
    0.6106000000000001,
    0.5347999999999998,
    0.27990000000000015,
    0.5089999999999999,
    0.5154,
    0.5026,
    0.3402000000000001,
    0.37759999999999994,
    0.3484,
    0.5851000000000001,
    0.6012,
    0.3556,
    0.3336999999999999,
    0.49749999999999994,
    0.5984000000000003,
    0.5393999999999998,
    0.3338999999999997,
    0.5920000000000002,
    0.6163999999999998,
    0.34349999999999997,
    0.6012000000000003,
    0.3877,
    0.5795000000000001,
    0.6422999999999999,
    0.5950999999999999,
    0.6088,
    0.4942,
    0.35250000000000004,
    0.6534000000000001,
    0.5953999999999999,
    0.54,
    0.5973999999999998,
    0.6818,
    0.5954999999999999,
    0.5292000000000001,
    0.5802999999999997,
    0.6341999999999999,
    0.6066000000000001,
    0.3919,
    0.34159999999999996,
    0.3704000000000001,
    0.3996,
    0.6048999999999999,
    0.6558,
    0.5825999999999998,
    0.4305999999999999,
    0.37430000000000013,
    0.33959999999999996,
    0.6510999999999999,
    0.6133,
    0.6657999999999998,
    0.6287,
    0.6293000000000001,
    0.43810000000000004,
    0.6579000000000002,
    0.6795999999999999,
    0.6146999999999999,
    0.6669,
    0.6123000000000003,
    0.35009999999999997,
    0.5595999999999999,
    0.3682,
    0.6219999999999999,
    0.5812999999999999,
    0.6023000000000003,
    0.7024000000000004,
    0.7152000000000001,
    0.7275,
    0.7159,
    0.6443,
    0.7493000000000001,
    0.4211000000000001,
    0.7589000000000001,
    0.6566999999999998,
    0.6918999999999997,
    0.6166,
    0.626,
    0.41730000000000006,
    0.4004000000000001,
    0.4596999999999999,
    0.42390000000000005,
    0.45120000000000016,
    0.6616000000000001,
    0.7196000000000001,
    0.47460000000000013,
    0.6851999999999999,
    0.6857,
    0.4018000000000001,
    0.6314000000000001,
    0.6046,
    0.4146000000000001,
    0.5981,
    0.5949000000000001,
    0.3404999999999999,
    0.5483000000000002,
    0.6182,
    0.5893999999999999,
    0.5562999999999997,
    0.3671000000000001,
    0.6161999999999999,
    0.40830000000000005,
    0.5455999999999999,
    0.6159,
    0.6106000000000001,
    0.5785,
    0.6403999999999999,
    0.4663,
    0.6521,
    0.3794,
    0.6568999999999998,
    0.6575,
    0.6377,
    0.6480999999999999,
    0.6264999999999996,
    0.5335999999999999,
    0.5835,
    0.3385,
    0.5613000000000002,
    0.47969999999999996,
    0.5590000000000003,
    0.49679999999999996,
    0.5478000000000002,
    0.3523999999999999,
    0.6021000000000002,
    0.5423000000000001,
    0.6488000000000002,
    0.6656000000000001,
    0.6841000000000003,
    0.6662000000000003,
    0.6838000000000001,
    0.6456,
    0.5434000000000001,
    0.5767,
    0.53,
    0.507,
    0.29979999999999996,
    0.5316999999999997,
    0.5080000000000001,
    0.3469999999999999,
    0.35760000000000003,
    0.32649999999999996,
    0.6061000000000003,
    0.38879999999999987,
    0.38359999999999994,
    0.3834000000000001,
    0.5659000000000001,
    0.3502999999999999,
    0.49570000000000003,
    0.6046000000000001,
    0.5895,
    0.3082999999999999,
    0.34459999999999985,
    0.5002000000000001,
    0.5448,
    0.5632000000000003,
    0.3657999999999999,
    0.3873999999999999,
    0.6127999999999999,
    0.6286,
    0.6102,
    0.34440000000000004,
    0.5937,
    0.6178000000000001,
    0.29179999999999995,
    0.5640000000000002,
    0.4805000000000001,
    0.29410000000000014,
    0.5757000000000002,
    0.394,
    0.40140000000000003,
    0.5812,
    0.37680000000000013,
    0.6160000000000001,
    0.31720000000000004,
    0.5521999999999999,
    0.36699999999999994,
    0.5118,
    0.5322999999999999,
    0.5066000000000002,
    0.5719999999999997,
    0.6682,
    0.5854999999999998,
    0.5228,
    0.6499999999999997,
    0.6649999999999999,
    0.6139,
    0.3527999999999999,
    0.45120000000000005,
    0.6061000000000002,
    0.32939999999999997,
    0.6022000000000003,
    0.5749000000000001,
    0.5545000000000001,
    0.5820000000000001,
    0.5390000000000001,
    0.5925,
    0.5352999999999999,
    0.6147000000000001,
    0.6363000000000002,
    0.6559000000000001,
    0.7046,
    0.6550500000000001,
    0.5805499999999999,
    0.7398500000000001,
    0.5870999999999998,
    0.41190000000000015,
    0.6783999999999998,
    0.6708,
    0.38489999999999996,
    0.42520000000000013,
    0.44170000000000015,
    0.38330000000000014,
    0.5027000000000001,
    0.3305,
    0.5111999999999999,
    0.6198999999999999,
    0.5990999999999999,
    0.7041999999999998,
    0.4176500000000001,
    0.3879500000000001,
    0.6445499999999998,
    0.6777499999999999,
    0.5851499999999997,
    0.5393499999999999,
    0.6035499999999999
  ],
  "ppII": [
    0.07551167905330658,
    0.08540301024913788,
    0.0933561772108078,
    0.08842417597770691,
    0.0856008231639862,
    0.08815757930278778,
    0.09111273288726807,
    0.09386347234249115,
    0.09465515613555908,
    0.09514246881008148,
    0.09587253630161285,
    0.08502848446369171,
    0.0695025771856308,
    0.055353567004203796,
    0.0443987101316452,
    0.03531023859977722,
    0.028176411986351013,
    0.02760995924472809,
    0.028486281633377075,
    0.02394738793373108,
    0.025746166706085205,
    0.03039868175983429,
    0.036018259823322296,
    0.03847534954547882,
    0.04555473988875747,
    0.06903831427916884,
    0.09305448411032557,
    0.1114650615490973,
    0.11208076355978847,
    0.11677293060347438,
    0.11689142044633627,
    0.118653847835958,
    0.11974902357906103,
    0.10949482349678874,
    0.08935507712885737,
    0.060321600176393986,
    0.03119770810008049,
    0.02602826151996851,
    0.03813246777281165,
    0.04479048075154424,
    0.04909761855378747,
    0.054510865826159716,
    0.05877621378749609,
    0.061784469056874514,
    0.06279391655698419,
    0.06486935215070844,
    0.06641198368743062,
    0.0713181016035378,
    0.08246255340054631,
    0.10516052599996328,
    0.10939976433292031,
    0.12735102372244,
    0.12704867916181684,
    0.12103428784757853,
    0.12744316551834345,
    0.14781144307926297,
    0.15081946132704616,
    0.14308698521927,
    0.11708107264712453,
    0.09293542103841901,
    0.06507504731416702,
    0.038427524734288454,
    0.03156979288905859,
    0.0339326998218894,
    0.027088146191090345,
    0.0276449010707438,
    0.03948312159627676,
    0.06454829638823867,
    0.0918533569201827,
    0.10124827222898602,
    0.11601770436391234,
    0.13014386361464858,
    0.13279947778210044,
    0.12584081897512078,
    0.11049095680937171,
    0.08936582831665874,
    0.07850481662899256,
    0.0743685788474977,
    0.07434229459613562,
    0.08277791319414973,
    0.08269140729680657,
    0.08282587258145213,
    0.09602328529581428,
    0.09648087713867426,
    0.09443022171035409,
    0.09710088791325688,
    0.09380532568320632,
    0.09912588587030768,
    0.11525049433112144,
    0.12876185914501548,
    0.11248677643015981,
    0.08834696700796485,
    0.07262358395382762,
    0.05884593026712537,
    0.04929248662665486,
    0.06094576744362712,
    0.0665643629617989,
    0.07298875646665692,
    0.07064058957621455,
    0.06629114178940654,
    0.06739893229678273,
    0.08130539441481233,
    0.09011609526351094,
    0.07317952206358314,
    0.05840012477710843,
    0.04702922282740474,
    0.042934582103043795,
    0.05207592574879527,
    0.06268377648666501,
    0.06816429505124688,
    0.07165765156969428,
    0.07491000788286328,
    0.0777733507566154,
    0.0872354987077415,
    0.10098503204062581,
    0.11144602065905929,
    0.09259794745594263,
    0.07815699046477675,
    0.06933888932690024,
    0.06564173754304647,
    0.06582428282126784,
    0.057194761000573635,
    0.04429983487352729,
    0.028925683815032244,
    0.027402971405535936,
    0.04017819231376052,
    0.062295335810631514,
    0.06635765405371785,
    0.058857690542936325,
    0.07239024993032217,
    0.0841553988866508,
    0.10709080612286925,
    0.10457058157771826,
    0.08940361067652702,
    0.06278331624343991,
    0.03632565587759018,
    0.026557535864412785,
    0.027779695112258196,
    0.032280081417411566,
    0.034821930807083845,
    0.04047873290255666,
    0.04537492664530873,
    0.05110993096604943,
    0.05074229137971997,
    0.05963699007406831,
    0.05538616981357336,
    0.050107617396861315,
    0.05760480556637049,
    0.06721918284893036,
    0.08646296476945281,
    0.10046947374939919,
    0.08799722557887435,
    0.06465009739622474,
    0.052381412126123905,
    0.05214703595265746,
    0.0394338327459991,
    0.02361955400556326,
    0.023061792831867933,
    0.02543870359659195,
    0.020837065298110247,
    0.035792491398751736,
    0.06423553731292486,
    0.0768963536247611,
    0.09833177318796515,
    0.11334433825686574,
    0.1235624854452908,
    0.12614078493788838,
    0.1341303256340325,
    0.14593792194500566,
    0.14719775738194585,
    0.1450662170536816,
    0.13122529117390513,
    0.10795520013198256,
    0.09963555680587888,
    0.09108464745804667,
    0.08865770790725946,
    0.08397032972425222,
    0.08917166525498033,
    0.09597596758976579,
    0.10531745897606015,
    0.10830662306398153,
    0.10855643544346094,
    0.10893240245059133,
    0.11909378739073873,
    0.14519915590062737,
    0.16122814314439893,
    0.16351111372932792,
    0.1371490997262299,
    0.11750071821734309,
    0.08817383414134383,
    0.0675418684259057,
    0.05107281869277358,
    0.04328107414767146,
    0.031810066662728786,
    0.037997167091816664,
    0.05841272743418813,
    0.0796436327509582,
    0.10053008701652288,
    0.11936054425314069,
    0.1372057250700891,
    0.1453378009609878,
    0.1368307969532907,
    0.1287258854135871,
    0.12633045157417655,
    0.11011362401768565,
    0.09698630962520838,
    0.08541776007041335,
    0.07875988259911537,
    0.07612914917990565,
    0.08382574329152703,
    0.08641594229266047,
    0.08967887749895453,
    0.08360733184963465,
    0.08285415032878518,
    0.0825010696426034,
    0.09487768029794097,
    0.11263623228296638,
    0.12545859441161156,
    0.11375196697190404,
    0.09143028780817986,
    0.06759009649977088,
    0.05299689946696162,
    0.050359577406197786,
    0.05638649966567755,
    0.0659620719961822,
    0.08588539157062769,
    0.09610126307234168,
    0.09998891083523631,
    0.0961526189930737,
    0.08882634993642569,
    0.09333740081638098,
    0.08300976129248738,
    0.06553572462871671,
    0.0598144200630486,
    0.06429233448579907,
    0.07279780833050609,
    0.08470442984253168,
    0.10522649856284261,
    0.1290364502929151,
    0.11889140354469419,
    0.11737287370488048,
    0.13047030894085765,
    0.15954530844464898,
    0.18038108991459012,
    0.17476713750511408,
    0.1582676162943244,
    0.13735915115103126,
    0.11646756157279015,
    0.08485708059743047,
    0.06083016190677881,
    0.04915595659986138,
    0.03925563720986247,
    0.04111129138618708,
    0.04478301526978612,
    0.054094243329018354,
    0.054694580379873514,
    0.05288490327075124,
    0.06636766856536269,
    0.09452175674960017,
    0.11249514296650887,
    0.10544785531237721,
    0.09720927244052291,
    0.08863079873844981,
    0.08165893703699112,
    0.07607343466952443,
    0.08025104971602559,
    0.0836344170384109,
    0.07890378264710307,
    0.06268056062981486,
    0.0466843550093472,
    0.04163881251588464,
    0.04101100889965892,
    0.039975295308977365,
    0.04884234210476279,
    0.057769906241446733,
    0.07663399772718549,
    0.0858426564373076,
    0.09396075084805489,
    0.10217260336503386,
    0.11062349006533623,
    0.09645108180120587,
    0.08071866724640131,
    0.06541023775935173,
    0.052434060256928205,
    0.051075678784400225,
    0.05552061228081584,
    0.07084349449723959,
    0.10228426335379481,
    0.1389078488573432,
    0.14420403633266687,
    0.13552399864420295,
    0.11167068360373378,
    0.10014117928221822,
    0.08731598826125264,
    0.07894500251859426,
    0.06287618959322572,
    0.0515405279584229,
    0.039011015091091394,
    0.03531697811558843,
    0.031095952726900578,
    0.03898087935522199,
    0.04590087477117777,
    0.06574634555727243,
    0.08862777380272746,
    0.1092999461106956,
    0.11027783527970314,
    0.1077051111496985,
    0.11357577797025442,
    0.12334686610847712,
    0.13646722957491875,
    0.13282720418646932,
    0.1110952845774591,
    0.08625509915873408,
    0.06256459234282374,
    0.038734904024749994,
    0.020647570956498384,
    0.01800404628738761,
    0.011414745356887579,
    0.008388681802898645,
    0.021717693656682968,
    0.05511400243267417,
    0.0860639801248908,
    0.09626821801066399,
    0.11399791156873107,
    0.131912627723068,
    0.12682474171742797,
    0.11263599386438727,
    0.11266388883814216,
    0.12549266545102,
    0.1278562108054757,
    0.10831698542460799,
    0.09175501670688391,
    0.07656443445011973,
    0.06872347602620721,
    0.08463645307347178,
    0.12197135528549552,
    0.13515772996470332,
    0.12295784102752805,
    0.10861756978556514,
    0.09767298772931099,
    0.10949160065501928,
    0.11688831122592092,
    0.10837226873263717,
    0.09079739218577743,
    0.07609543111175299,
    0.0546964886598289,
    0.04350008675828576,
    0.02441456075757742,
    0.022918555419892073,
    0.02278877468779683,
    0.015554662328213453,
    0.018863041419535875,
    0.031887293327599764,
    0.052660423796623945,
    0.06841007201001048,
    0.08631349727511406,
    0.09903686633333564,
    0.09396920772269368,
    0.08530221180990338,
    0.09177702246233821,
    0.10581629304215312,
    0.12263548141345382,
    0.13387889554724097,
    0.14837073627859354,
    0.15260551776736975,
    0.15271828649565578,
    0.13780423160642385,
    0.14092604955658317,
    0.13813769165426493,
    0.11976805701851845,
    0.11138547351583838,
    0.10168013721704483,
    0.10188740119338036,
    0.0788813759572804,
    0.053077992517501116,
    0.027151888702064753,
    0.016833154018968344,
    0.0162762519903481,
    0.014921438414603472,
    0.026857331860810518,
    0.03846269426867366,
    0.04325389536097646,
    0.05492970393970609,
    0.07481852825731039,
    0.08195226406678557,
    0.09112961636856198,
    0.10196013515815139,
    0.0962912323884666,
    0.08784905821084976,
    0.0783313843421638,
    0.08252708287909627,
    0.09170979028567672,
    0.0998048665933311,
    0.0857010162435472,
    0.06783799501135945,
    0.06367827113717794,
    0.05946023343130946,
    0.0462024980224669,
    0.04329268028959632,
    0.04971100436523557,
    0.05684880958870053,
    0.0659380960278213,
    0.07920236652716994,
    0.08033028012141585,
    0.08084089681506157,
    0.06637458922341466,
    0.060722962487488985,
    0.050798419397324324,
    0.03736126562580466,
    0.029044495429843664,
    0.026016514282673597,
    0.019135262817144394,
    0.013231719378381968,
    0.018986130598932505,
    0.015626543667167425,
    0.02329751243814826,
    0.028943132143467665,
    0.04446594463661313,
    0.047617771197110415,
    0.054637570399791,
    0.05848647886887193,
    0.05805815430358052,
    0.06369271967560053,
    0.08287018584087491,
    0.08987269876524806,
    0.09363326011225581,
    0.07327903667464852,
    0.05548266414552927,
    0.03485212055966258,
    0.019717503804713488,
    0.02037164196372032,
    0.025145866442471743,
    0.019708394072949886,
    0.019720735494047403,
    0.0218694475479424,
    0.028597026132047176,
    0.04746071295812726,
    0.07598073547706008,
    0.10559259122237563,
    0.12601129757240415,
    0.12636519642546773,
    0.11884649749845266,
    0.11130566475912929,
    0.09146324871107936,
    0.06587801035493612,
    0.05025323899462819,
    0.0350162941031158,
    0.03832634864374995,
    0.05480267992243171,
    0.07493726490065455,
    0.10311642521992326,
    0.12088123010471463,
    0.13792066695168614,
    0.14444942260161042,
    0.1262053302489221,
    0.09847940737381577,
    0.07573685934767127,
    0.05866276612505317,
    0.05116956029087305,
    0.05609869631007314,
    0.06643081037327647,
    0.08231485961005092,
    0.09284154186025262,
    0.08139725355431437,
    0.07813607295975089,
    0.07711261184886098,
    0.08945442037656903,
    0.0932028773240745,
    0.09980249777436256,
    0.10832826187834144,
    0.11071021482348442,
    0.09358307952061296,
    0.07061044499278069,
    0.05437530484050512,
    0.04467238811776042,
    0.04098741943016648,
    0.04570576874539256,
    0.058195393066853285,
    0.07844462897628546,
    0.08174839010462165,
    0.0819444814696908,
    0.07861668663099408,
    0.0875774435698986,
    0.09452639194205403,
    0.07437328668311238,
    0.06303390534594655,
    0.06165368435904384,
    0.05890780361369252,
    0.06658002408221364,
    0.06889114854857326,
    0.0708955698646605,
    0.07206966122612357,
    0.07043360499665141,
    0.09259195951744914,
    0.11020657746121287,
    0.11795471236109734,
    0.12988991662859917,
    0.14319895254448056,
    0.1565583827905357,
    0.1596167921088636,
    0.15037330146878958,
    0.11890575662255287,
    0.07530655758455396,
    0.04749692650511861,
    0.039135928731411695,
    0.04260720405727625,
    0.04328806372359395,
    0.04998794523999095,
    0.05361664202064276,
    0.04871990671381354,
    0.05985833611339331,
    0.07363043306395411,
    0.07899913564324379,
    0.06980962958186865,
    0.08223758405074477,
    0.08093224698677659,
    0.07781217247247696,
    0.06222221348434687,
    0.06038906751200557,
    0.05368488188832998,
    0.0482487385161221,
    0.05101563083007932,
    0.05718551157042384,
    0.062246710527688265,
    0.062113489490002394,
    0.058698000852018595,
    0.06416070461273193,
    0.07198918284848332,
    0.08134708600118756,
    0.08689922001212835,
    0.08852572506293654,
    0.0764243914745748,
    0.06228515179827809,
    0.060928193386644125,
    0.06576738925650716,
    0.06265698513016105,
    0.050649982411414385,
    0.054855641443282366,
    0.06872649071738124,
    0.08590272162109613,
    0.11264968989416957,
    0.14285200741142035,
    0.15874570282176137,
    0.14754188945516944,
    0.12049482436850667,
    0.09916015015915036,
    0.07771666767075658,
    0.07550451811403036,
    0.07978931302204728,
    0.09175463439896703,
    0.10945465508848429,
    0.11179312923923135,
    0.10404300363734365,
    0.09311609016731381,
    0.07635580841451883,
    0.0711172828450799,
    0.06443065078929067,
    0.06733389245346189,
    0.0689377672970295,
    0.08032572781667113,
    0.09845893736928701,
    0.11981746600940824,
    0.11463552480563521,
    0.11713928868994117,
    0.12529295543208718,
    0.14298334019258618,
    0.1499149980954826,
    0.14629363594576716,
    0.12541709979996085,
    0.09433585917577147,
    0.07037954684346914,
    0.04635761585086584,
    0.03555246815085411,
    0.024338630493730307,
    0.019698682706803083,
    0.020108362194150686,
    0.04221691796556115,
    0.07021018769592047,
    0.10314017441123724,
    0.12801387161016464,
    0.14359136437997222,
    0.1400838433764875,
    0.1263964674435556,
    0.11591088818386197,
    0.10582529148086905,
    0.07991077331826091,
    0.05758703546598554,
    0.037899565417319536,
    0.02848503040149808,
    0.03356287954375148,
    0.04505164036527276,
    0.05740475980564952,
    0.07347083976492286,
    0.07517770025879145,
    0.0735823423601687,
    0.07004378410056233,
    0.0684031373821199,
    0.06500925030559301,
    0.06341470452025533,
    0.08265816466882825,
    0.10330281825736165,
    0.12045081844553351,
    0.11659599421545863,
    0.10640258435159922,
    0.0901539153419435,
    0.08036486385390162,
    0.06840476486831903,
    0.059036099817603827,
    0.059296566527336836,
    0.061055846977978945,
    0.049325487576425076,
    0.05317172082141042,
    0.05696989269927144,
    0.06397344078868628,
    0.06995822163298726,
    0.07816677587106824,
    0.07624535169452429,
    0.07673461409285665,
    0.07009975286200643,
    0.07877044519409537,
    0.09288895223289728,
    0.1040806588716805,
    0.10829974105581641,
    0.12313563423231244,
    0.1518402579240501,
    0.1829579877667129,
    0.19827286573126912,
    0.20748703042045236,
    0.20138912741094828,
    0.1952567850239575,
    0.1764324395917356,
    0.15515034785494208,
    0.1213950552046299,
    0.09226727532222867,
    0.07050958322361112,
    0.055383247788995504,
    0.05169683089479804,
    0.057492909487336874,
    0.07622057851403952,
    0.09088986786082387,
    0.09882248705253005,
    0.11689147260040045,
    0.15125491376966238,
    0.1868958822451532,
    0.19337193574756384,
    0.19092103466391563,
    0.16302291210740805,
    0.14129730314016342,
    0.12540203426033258,
    0.11414915649220347,
    0.1035522180609405,
    0.09877723781391978,
    0.09498779522255063,
    0.08030708460137248,
    0.061464876402169466,
    0.050536881666630507,
    0.04502107435837388,
    0.05472527351230383,
    0.05460531683638692,
    0.07052454445511103,
    0.08932471927255392,
    0.10166956996545196,
    0.10755515517666936,
    0.11399024492129683,
    0.12531824316829443,
    0.11946911411359906,
    0.10204531298950315,
    0.08711627451702952,
    0.07121220463886857,
    0.0588735300116241,
    0.0662856032140553,
    0.08975447015836835,
    0.11277435813099146,
    0.12085356982424855,
    0.11766086285933852,
    0.10869934456422925,
    0.10473095765337348,
    0.09526879666373134,
    0.09694346832111478,
    0.08690742077305913,
    0.08001761790364981,
    0.07403246546164155,
    0.06964040966704488,
    0.06601397041231394,
    0.0700950208120048,
    0.06774699781090021,
    0.06797886220738292,
    0.06648741755634546,
    0.07801185641437769,
    0.09065808681771159,
    0.1136826598085463,
    0.1295812097378075,
    0.14627612894400954,
    0.15181814786046743,
    0.15320824878290296,
    0.15614091278985143,
    0.16168532939627767,
    0.15715397475287318,
    0.146361053455621,
    0.12169996742159128,
    0.10096104489639401,
    0.0823039566166699,
    0.054299301002174616,
    0.04339460423216224,
    0.04690679581835866,
    0.04352819500491023,
    0.04897202970460057,
    0.06804643711075187,
    0.09441440459340811,
    0.12774480786174536,
    0.1326080784201622,
    0.12770694866776466,
    0.11426863120868802,
    0.10101321758702397,
    0.07881080685183406,
    0.0625958233140409,
    0.047554302494972944,
    0.03814388904720545,
    0.03715561097487807,
    0.03935315506532788,
    0.05197771964594722,
    0.06111685046926141,
    0.06789635168388486,
    0.07461721589788795,
    0.0663201967254281,
    0.07175158755853772,
    0.07219722028821707,
    0.06445795064792037,
    0.06392428185790777,
    0.06011420115828514,
    0.06064470438286662,
    0.07246644468978047,
    0.0869940659031272,
    0.10925283608958125,
    0.09970688167959452,
    0.07967031328007579,
    0.059774637687951326,
    0.04386026505380869,
    0.033881553914397955,
    0.03283582255244255,
    0.02845437405630946,
    0.029644320253282785,
    0.02793177729472518,
    0.030148972291499376,
    0.04588065715506673,
    0.07562692230567336,
    0.09865365969017148,
    0.0924936244264245,
    0.07418275298550725,
    0.06458609970286489,
    0.05855264933779836,
    0.06719643203541636,
    0.08806456718593836,
    0.11644761171191931,
    0.12822612514719367,
    0.11473267572000623,
    0.11744795646518469,
    0.1170453685335815,
    0.11674707289785147,
    0.11504678940400481,
    0.09550313744693995,
    0.08218246744945645,
    0.06849916419014335,
    0.05942889442667365,
    0.054523077327758074,
    0.055350944865494967,
    0.07149277022108436,
    0.08999941917136312,
    0.0878944587893784,
    0.0852968655526638,
    0.08278505830094218,
    0.08879199298098683,
    0.09549697861075401,
    0.10980296554043889,
    0.12825246807187796,
    0.12960265995934606,
    0.13063216721639037,
    0.13924699649214745,
    0.1326851355843246,
    0.11450623720884323,
    0.10295812133699656,
    0.10441888170316815,
    0.10903831711038947,
    0.10480107693001628,
    0.09107978409156203,
    0.07674611359834671,
    0.0693605006672442,
    0.06776195811107755,
    0.0639862441457808,
    0.06244707992300391,
    0.062168453354388475,
    0.0743667739443481,
    0.09230412589386106,
    0.10941830044612288,
    0.11643464351072907,
    0.12170791253447533,
    0.10416662599891424,
    0.08803380792960525,
    0.07400901196524501,
    0.0695593049749732,
    0.07272031391039491,
    0.08683088002726436,
    0.09649970708414912,
    0.09715711558237672,
    0.08510900940746069,
    0.07415341725572944,
    0.07020839443430305,
    0.06399009702727199,
    0.06305093178525567,
    0.05526842596009374,
    0.05759798642247915,
    0.06395668024197221,
    0.06491090776398778,
    0.05069755110889673,
    0.04685548273846507,
    0.04810191364958882,
    0.05777123058214784,
    0.052686861250549555,
    0.05142959300428629,
    0.06031637219712138,
    0.07589295413345098,
    0.09245891543105245,
    0.10753729240968823,
    0.11879844730719924,
    0.13636029558256269,
    0.15569736482575536,
    0.1647763242945075,
    0.15758719621226192,
    0.14489462273195386,
    0.11306563066318631,
    0.08774973964318633,
    0.06783786183223128,
    0.050446145702153444,
    0.03998177871108055,
    0.03395737940445542,
    0.024638648610562086,
    0.031939510721713305,
    0.05616576736792922,
    0.08460590243339539,
    0.10693865176290274,
    0.1181402881629765,
    0.13132182275876403,
    0.13234604196622968,
    0.11038387194275856,
    0.07864076131954789,
    0.060416319873183966,
    0.04369572130963206,
    0.0362974563613534,
    0.04107595747336745,
    0.047675262670964,
    0.059467855375260115,
    0.06781781325116754,
    0.06696856347844005,
    0.07102427771314979,
    0.07059989916160703,
    0.06838382640853524,
    0.06662483420222998,
    0.06878705834969878,
    0.07926940824836493,
    0.09092090791091323,
    0.09303228789940476,
    0.08454790338873863,
    0.07594932522624731,
    0.07394235162064433,
    0.057522297371178865,
    0.052528474014252424,
    0.05721704987809062,
    0.06581097422167659,
    0.06931489100679755,
    0.07270263927057385,
    0.08459241455420852,
    0.08906560810282826,
    0.08916343143209815,
    0.07079980941489339,
    0.051386133302003145,
    0.04523350344970822,
    0.041334680281579494,
    0.05658186273649335,
    0.08265853999182582,
    0.10766127472743392,
    0.12874990096315742,
    0.13611135678365827,
    0.14542981889098883,
    0.1650711284019053,
    0.16760359751060605,
    0.1836157920770347,
    0.1829334208741784,
    0.188355581369251,
    0.16235517850145698,
    0.12617779755964875,
    0.09506902517750859,
    0.07311124401167035,
    0.06190822133794427,
    0.053821651730686426,
    0.0460114786401391,
    0.03806403046473861,
    0.03374678222462535,
    0.027408250141888857,
    0.016001505311578512,
    0.027574925683438778,
    0.03862085519358516,
    0.05195297719910741,
    0.05436015035957098,
    0.05396374734118581,
    0.06312764761969447,
    0.08192770928144455,
    0.10267502954229712,
    0.1222735526971519,
    0.12349026696756482,
    0.11524044303223491,
    0.09648370137438178,
    0.08251773146912456,
    0.07969143567606807,
    0.0716721941716969,
    0.06547785783186555,
    0.06369910528883338,
    0.06575494771823287,
    0.07651044521480799,
    0.08027210226282477,
    0.07162261521443725,
    0.06144130462780595,
    0.050929632503539324,
    0.043990946374833584,
    0.03866354376077652,
    0.03281312109902501,
    0.032532093580812216,
    0.03474608575925231,
    0.03972483333200216,
    0.05132973240688443,
    0.05294871097430587,
    0.06031388882547617,
    0.0570729267783463,
    0.05875402828678489,
    0.06786541221663356,
    0.07246909337118268,
    0.07609378593042493,
    0.08418861823156476,
    0.09030315885320306,
    0.10005108918994665,
    0.11431507347151637,
    0.1301943096332252,
    0.14990460453554988,
    0.17210834519937634,
    0.19491110322996974,
    0.21232917252928019,
    0.21069843648001552,
    0.2030215528793633,
    0.19268616195768118,
    0.18850530171766877,
    0.18755187513306737,
    0.19440319808200002,
    0.19930068729445338,
    0.18748880503699183,
    0.16688940720632672,
    0.1593810236081481,
    0.16492828400805593,
    0.16650328366085887,
    0.16602090606465936,
    0.16565022943541408,
    0.16561419935896993,
    0.1666090884245932,
    0.17442392464727163,
    0.18035703478381038,
    0.1770669179968536,
    0.16780030308291316,
    0.15954452333971858,
    0.15185254719108343,
    0.1480231168679893,
    0.13848504004999995,
    0.12597271101549268,
    0.12393926922231913,
    0.1230681617744267,
    0.11652798997238278,
    0.11113569978624582,
    0.10560368048027158,
    0.0969531643204391,
    0.09484540717676282,
    0.10908976988866925,
    0.14078537421301007,
    0.1715198983438313,
    0.18643950717523694,
    0.17740512685850263,
    0.14161166595295072,
    0.11907331692054868,
    0.10508044855669141,
    0.09222619282081723,
    0.08834562497213483,
    0.08579956786707044,
    0.07374218897894025,
    0.0590744917280972,
    0.050783411134034395,
    0.05500689195469022,
    0.05494339810684323,
    0.05162376677617431,
    0.04296222375705838,
    0.038735777605324984,
    0.04233397589996457,
    0.054539666045457125,
    0.07647914486005902,
    0.11258063511922956,
    0.1419295002706349,
    0.1447261800058186,
    0.14044128498062491,
    0.11837024567648768,
    0.10077342716977,
    0.08671468822285533,
    0.07604909455403686,
    0.06547586852684617,
    0.060214072931557894,
    0.059886430855840445,
    0.07436230406165123,
    0.09374622302129865,
    0.13607841962948442,
    0.16625984758138657,
    0.19178197113797069,
    0.2176510482095182,
    0.23292598919942975,
    0.23540232190862298,
    0.21479994803667068,
    0.1851465916261077,
    0.1598445945419371,
    0.13130919309332967,
    0.1106822625733912,
    0.1024729898199439,
    0.09526546625420451,
    0.08566725580021739,
    0.0819946457631886,
    0.08455006871372461,
    0.09600723953917623,
    0.11672177957370877,
    0.13470007153227925,
    0.14548717206344008,
    0.15238570934161544,
    0.1557715912349522,
    0.1496097561903298,
    0.1589538431726396,
    0.16678861854597926,
    0.16048542270436883,
    0.134226534049958,
    0.10766524402424693,
    0.08276600716635585,
    0.06624518660828471,
    0.05995397595688701,
    0.04847674863412976,
    0.04670740570873022,
    0.06286687823012471,
    0.08754784008488059,
    0.10774563159793615,
    0.11049617128446698,
    0.12338041281327605,
    0.1377649107016623,
    0.15011036163195968,
    0.14599686628207564,
    0.14433709671720862,
    0.1470874580554664,
    0.14065193803980947,
    0.13713076477870345,
    0.13134506670758128,
    0.12411879329010844,
    0.11168820271268487,
    0.10777160851284862,
    0.11657615890726447,
    0.11782462988048792,
    0.11488849529996514,
    0.10861379327252507,
    0.10810246085748076,
    0.1071126451715827,
    0.10794086428359151,
    0.1189857586286962,
    0.13688543811440468,
    0.1593236466869712,
    0.14605905441567302,
    0.12016984866932034,
    0.0915139620192349,
    0.06642655935138464,
    0.04738120315596461,
    0.034750924445688725,
    0.03188917925581336,
    0.036317634861916304,
    0.03782212035730481,
    0.03537572082132101,
    0.04458562610670924,
    0.05577758373692632,
    0.07272031484171748,
    0.07294930098578334,
    0.05856046127155423,
    0.044019595719873905,
    0.03573002992197871,
    0.044394873548299074,
    0.06024486245587468,
    0.06880682287737727,
    0.07794973393902183,
    0.07561917649582028,
    0.091244759503752,
    0.10713374195620418,
    0.12704650545492768,
    0.13034036895260215,
    0.1128900432959199,
    0.10400312533602118,
    0.09853508463129401,
    0.09829184552654624,
    0.08218668773770332,
    0.06495888438075781,
    0.053650236222893,
    0.05007879063487053,
    0.05375343654304743,
    0.061781827826052904,
    0.07168439356610179,
    0.07535663107410073,
    0.06864232989028096,
    0.07476647337898612,
    0.07902268646284938,
    0.07853390648961067,
    0.06947582866996527,
    0.06848372146487236,
    0.0653883358463645,
    0.05203697830438614,
    0.040940926410257816,
    0.04686513217166066,
    0.05604260554537177,
    0.05414858786389232,
    0.04811095865443349,
    0.04643670376390219,
    0.04525074968114495,
    0.04206844745203853,
    0.036390157882124186,
    0.051813052501529455,
    0.06546605052426457,
    0.07656920794397593,
    0.08002535905689001,
    0.09271315112709999,
    0.1020948076620698,
    0.11161861941218376,
    0.10563475778326392,
    0.09602569881826639,
    0.0796999684534967,
    0.06795441033318639,
    0.07455588551238179,
    0.09354680078104138,
    0.11171425506472588,
    0.1296124546788633,
    0.12375061120837927,
    0.11390630062669516,
    0.10483180871233344,
    0.10539133427664638,
    0.11779283033683896,
    0.12283497536554933,
    0.13075714465230703,
    0.1377218165434897,
    0.13525197328999639,
    0.1347289220429957,
    0.14291942631825805,
    0.15664299624040723,
    0.1840875600464642,
    0.20185081753879786,
    0.22859557066112757,
    0.2368040862493217,
    0.2277871840633452,
    0.19899682374671102,
    0.1767321233637631,
    0.16722702141851187,
    0.15289437072351575,
    0.11988337757065892,
    0.09011170687153935,
    0.07625631568953395,
    0.06964906817302108,
    0.06529492232948542,
    0.07054705219343305,
    0.08111703442409635,
    0.10152975376695395,
    0.10082663362845778,
    0.1097368341870606,
    0.11762516526505351,
    0.12102330708876252,
    0.11126738833263516,
    0.10338274436071515,
    0.09509844379499555,
    0.09246281115338206,
    0.09206072892993689,
    0.09186978964135051,
    0.08931744424626231,
    0.08729537157341838,
    0.09268640074878931,
    0.11541709722951055,
    0.11244883807376027,
    0.10633813915774226,
    0.10019372077658772,
    0.106347874738276,
    0.13335375906899571,
    0.143581320066005,
    0.1279137791134417,
    0.10795745672658086,
    0.07801034348085523,
    0.05551279569044709,
    0.043185103219002485,
    0.03641263488680124,
    0.025934870820492506,
    0.030082613695412874,
    0.045369678642600775,
    0.07170520862564445,
    0.10448588570579886,
    0.12000532494857907,
    0.12600930547341704,
    0.10944987228140235,
    0.10507781431078911,
    0.10076896427199244,
    0.10165312280878425,
    0.08461138932034373,
    0.07830498879775405,
    0.07058392046019435,
    0.06573209492489696,
    0.07291916431859136,
    0.08905408391728997,
    0.10117249516770244,
    0.11206210544332862,
    0.11133018229156733,
    0.11457334319129586,
    0.10812750877812505,
    0.10533404117450118,
    0.10087425401434302,
    0.10152800008654594,
    0.10174124082550406,
    0.0968830925412476,
    0.09040844580158591,
    0.0816275137476623,
    0.06911167642101645,
    0.053643445018678904,
    0.05015126708894968,
    0.04302635136991739,
    0.04105877270922065,
    0.04502624599263072,
    0.05135048693045974,
    0.05207964172586799,
    0.05636179121211171,
    0.06858698697760701,
    0.07981394557282329,
    0.08868141518905759,
    0.07332092570140958,
    0.049866247456520796,
    0.03423164179548621,
    0.03117711516097188,
    0.04647911386564374,
    0.06744968984276056,
    0.08882524399086833,
    0.10884935548529029,
    0.10711190151050687,
    0.10821658279746771,
    0.11786260548979044,
    0.1371052567847073,
    0.16198815777897835,
    0.1587703009136021,
    0.15793228521943092,
    0.15005368134006858,
    0.13634409895166755,
    0.11301389848813415,
    0.08505170838907361,
    0.0656700967811048,
    0.05674004973843694,
    0.061504350043833256,
    0.06247460516169667,
    0.06481650797650218,
    0.07535450253635645,
    0.08847997756674886,
    0.1043808632530272,
    0.10924009559676051,
    0.0999081782065332,
    0.09372430946677923,
    0.09190562041476369,
    0.08444222388789058,
    0.07491173595190048,
    0.06878416333347559,
    0.07600079150870442,
    0.08393616368994117,
    0.09232871560379863,
    0.09388528345152736,
    0.09824678907170892,
    0.08279485581442714,
    0.07609182177111506,
    0.06831473344936967,
    0.07611761381849647,
    0.08765882765874267,
    0.09621550235897303,
    0.10367597127333283,
    0.11329459911212325,
    0.11989247100427747,
    0.11842112010344863,
    0.10363723430782557,
    0.09409690508618951,
    0.07556947646662593,
    0.05439654039219022,
    0.03807878913357854,
    0.0321839707903564,
    0.03272682009264827,
    0.02800636040046811,
    0.02890795236453414,
    0.03835778823122382,
    0.04493986954912543,
    0.049720298033207655,
    0.05844001518562436,
    0.0605352851562202,
    0.07077587302774191,
    0.08224342996254563,
    0.09399696113541722,
    0.10786023596301675,
    0.10304786590859294,
    0.10124620469287038,
    0.09408671455457807,
    0.07519944850355387,
    0.06594874802976847,
    0.052689466159790754,
    0.04534756438806653,
    0.03900442644953728,
    0.03378213569521904,
    0.030043854378163815,
    0.02861005160957575,
    0.02519765915349126,
    0.022900381591171026,
    0.03499555587768555,
    0.051975368056446314,
    0.07185689406469464,
    0.08554911287501454,
    0.07642982387915254,
    0.06213481863960624,
    0.03978807386010885,
    0.028123524505645037,
    0.013818084262311459,
    0.009634131100028753,
    0.007103394251316786,
    0.015876175370067358,
    0.024366518016904593,
    0.04404375283047557,
    0.06499007251113653,
    0.05983617203310132,
    0.04950438812375069,
    0.046336913015693426,
    0.036660943645983934,
    0.02607841696590185,
    0.024535068776458502,
    0.019935921300202608,
    0.021275357343256474,
    0.025008139666169882,
    0.03230284294113517,
    0.03808459499850869,
    0.037592282984405756,
    0.03868741123005748,
    0.05189947923645377,
    0.05536984000355005,
    0.05714054265990853,
    0.05569173814728856,
    0.05505994334816933,
    0.0443082838319242,
    0.04291340336203575,
    0.04582181200385094,
    0.048991087824106216,
    0.05193017330020666,
    0.05776562122628093,
    0.06477889465168118,
    0.0724004739895463,
    0.07084910431876779,
    0.05462658917531371,
    0.05171778844669461,
    0.051799440290778875,
    0.05040493095293641,
    0.05935129011049867,
    0.06162628857418895,
    0.05803613271564245,
    0.06227588327601552,
    0.08258329378440976,
    0.091554821934551,
    0.10041062952950597,
    0.08927030442282557,
    0.07012690510600805,
    0.04950904147699475,
    0.03624569857493043,
    0.05137424496933818,
    0.07110791886225343,
    0.0916204540990293,
    0.10831376304849982,
    0.12968020932748914,
    0.1257785325869918,
    0.12408053455874324,
    0.13114023255184293,
    0.15712196985259652,
    0.17994089471176267,
    0.18620663788169622,
    0.18891184916719794,
    0.1896556057035923,
    0.1778055182658136,
    0.1463690330274403,
    0.11273690732195973,
    0.09408505307510495,
    0.08814381901174784,
    0.07586759841069579,
    0.07445095060393214,
    0.0834524561651051,
    0.07890472188591957,
    0.07768915221095085,
    0.08966016815975308,
    0.11371770082041621,
    0.1390586532652378,
    0.15101938601583242,
    0.15224426612257957,
    0.15318069932982326,
    0.15794146806001663,
    0.15524541260674596,
    0.1399935302324593,
    0.12507989397272468,
    0.11142009822651744,
    0.09983512526378036,
    0.09958498599007726,
    0.10569080291315913,
    0.10214311210438609,
    0.08340726280584931,
    0.0689045712351799,
    0.059123523999005556,
    0.05758778052404523,
    0.0614764466881752,
    0.0708190924488008,
    0.08743308577686548,
    0.09516305848956108,
    0.09221083577722311,
    0.10231175925582647,
    0.09894938440993428,
    0.08571184100583196,
    0.07852325914427638,
    0.08131148014217615,
    0.07492849556729198,
    0.06378381792455912,
    0.0670519950799644,
    0.08328157523646951,
    0.09414196806028485,
    0.10104850819334388,
    0.088169124443084,
    0.07460287353023887,
    0.06382086267694831,
    0.051220815163105726,
    0.04879336105659604,
    0.04221294913440943,
    0.0496727516874671,
    0.05946536595001817,
    0.07001345278695226,
    0.07613679626956582,
    0.0957039906643331,
    0.10696825431659818,
    0.09209663467481732,
    0.06821899954229593,
    0.05160933081060648,
    0.05252432404085994,
    0.05683681694790721,
    0.056755790021270514,
    0.06084829196333885,
    0.06780996080487967,
    0.0788561780937016,
    0.07854247512295842,
    0.09160434221848845,
    0.09087204514071345,
    0.06967269536107779,
    0.048419022001326084,
    0.037014733999967575,
    0.0221060155890882,
    0.012670160736888647,
    0.017302774358540773,
    0.021715241950005293,
    0.029527812264859676,
    0.03440437978133559,
    0.05188314197584987,
    0.07035130355507135,
    0.08886411366984248,
    0.11291280435398221,
    0.13262922735884786,
    0.14823084231466055,
    0.17204910749569535,
    0.17520479625090957,
    0.1735917693004012,
    0.16756943194195628,
    0.14356038765981793,
    0.117480484303087,
    0.09201988624408841,
    0.0676693026907742,
    0.058847110252827406,
    0.05561367841437459,
    0.045570106245577335,
    0.050443168729543686,
    0.06365233426913619,
    0.08684166194871068,
    0.11097737308591604,
    0.13542248355224729,
    0.152062704320997,
    0.15253869676962495,
    0.14717703685164452,
    0.13263794919475913,
    0.12309334566816688,
    0.10174496797844768,
    0.08318921597674489,
    0.08784490451216698,
    0.09959303168579936,
    0.12535842834040523,
    0.12189736077561975,
    0.10921961395069957,
    0.10237730434164405,
    0.09190487954765558,
    0.09043137589469552,
    0.08693842915818095,
    0.08495900547131896,
    0.08875107672065496,
    0.0919664166867733,
    0.10398595174774528,
    0.11813722178339958,
    0.13089874293655157,
    0.11956424592062831,
    0.10218601766973734,
    0.07060564728453755,
    0.045235182624310255,
    0.03046016488224268,
    0.0243192701600492,
    0.029610950034111738,
    0.039586030412465334,
    0.04011229332536459,
    0.04127423372119665,
    0.04596449853852391,
    0.05634862510487437,
    0.07201972184702754,
    0.06203634338453412,
    0.04469374613836408,
    0.029094454366713762,
    0.024234495125710964,
    0.03913681348785758,
    0.05287010641768575,
    0.0645616608671844,
    0.07669232925400138,
    0.07350974576547742,
    0.08068977203220129,
    0.08031117497012019,
    0.0718557178042829,
    0.06721047917380929,
    0.05851789657026529,
    0.05064135929569602,
    0.047041290905326605,
    0.042202871292829514,
    0.041943494230508804,
    0.03440728085115552,
    0.0276262522675097,
    0.019346720073372126,
    0.021851741708815098,
    0.029515710193663836,
    0.04638304142281413,
    0.06250273203477263,
    0.06077760085463524,
    0.07053239550441504,
    0.07718278048560023,
    0.07374708727002144,
    0.05659623770043254,
    0.03825781913474202,
    0.02934043761342764,
    0.013636760413646698,
    -0.004908858798444271,
    -0.012063327711075544,
    -0.0032239402644336224,
    0.0048542204312980175,
    0.013984816614538431,
    0.03553296672180295,
    0.03031780431047082,
    0.02479244116693735,
    0.016109260264784098,
    0.022929041646420956,
    0.03282662248238921,
    0.05092257307842374,
    0.07050229189917445,
    0.08759879833087325,
    0.10216340469196439,
    0.10461022332310677,
    0.0894996547140181,
    0.07397842826321721,
    0.0569525295868516,
    0.04132291814312339,
    0.03123531909659505,
    0.036513291765004396,
    0.04556763265281916,
    0.05879776971414685,
    0.06624489417299628,
    0.07047196896746755,
    0.09578889003023505,
    0.12071294756606221,
    0.14689299510791898,
    0.14874911634251475,
    0.13476467784494162,
    0.12281753355637193,
    0.11092538805678487,
    0.10620982246473432,
    0.10879669012501836,
    0.12474241433665156,
    0.13715141592547297,
    0.12464962201192975,
    0.09958384279161692,
    0.07397494046017528,
    0.053881934843957424,
    0.038823184091597795,
    0.03246698575094342,
    0.03750821854919195,
    0.04333647759631276,
    0.04338738461956382,
    0.05672161187976599,
    0.07346835779026151,
    0.0825009006075561,
    0.0909677897579968,
    0.10381813254207373,
    0.11447999766096473,
    0.11070615379139781,
    0.1038481155410409,
    0.098850361071527,
    0.1006343518383801,
    0.10006625996902585,
    0.11000816198065877,
    0.13162042247131467,
    0.1542423595674336,
    0.15664686309173703,
    0.13502136943861842,
    0.1125268624164164,
    0.10013119224458933,
    0.09472837438806891,
    0.09278072649613023,
    0.09800044493749738,
    0.11679526790976524,
    0.14265029737725854,
    0.14786212565377355,
    0.14334546076133847,
    0.13925302820280194,
    0.11933569191023707,
    0.0968641540966928,
    0.0847137407399714,
    0.08594985399395227,
    0.09461643313989043,
    0.09674334619194269,
    0.1061062403023243,
    0.11722762929275632,
    0.14089843025431037,
    0.12959242379292846,
    0.1164077459834516,
    0.10776567040011287,
    0.11176490364596248,
    0.11071318155154586,
    0.10165278473868966,
    0.0885241562500596,
    0.08128276374191046,
    0.06294472282752395,
    0.0465294593013823,
    0.03502559708431363,
    0.030828598421067,
    0.028049405198544264,
    0.03404107317328453,
    0.047277551144361496,
    0.08063536463305354,
    0.11496059503406286,
    0.1156997149810195,
    0.1152887693606317,
    0.1034250264056027,
    0.09387361770495772,
    0.07838070532307029,
    0.07080131163820624,
    0.0625148075632751,
    0.05468448577448726,
    0.05295630544424057,
    0.05129713146016002,
    0.05234233383089304,
    0.0697506726719439,
    0.08755708346143365,
    0.10736506571993232,
    0.11658571753650904,
    0.1395706315524876,
    0.14291926380246878,
    0.1417145342566073,
    0.14635054906830192,
    0.14436862990260124,
    0.14983727177605033,
    0.14110856177285314,
    0.14112797752022743,
    0.12920359848067164,
    0.1023021568544209,
    0.06890055630356073,
    0.05304028186947107,
    0.04279404180124402,
    0.04580944683402777,
    0.06072433339431882,
    0.08023625193163753,
    0.08588439133018255,
    0.07266081497073174,
    0.06660659844055772,
    0.07356992037966847,
    0.07933963928371668,
    0.0752048334106803,
    0.05653088865801692,
    0.04153249319642782,
    0.02923761634156108,
    0.030407931189984083,
    0.03669878002256155,
    0.040197822730988264,
    0.03756045689806342,
    0.03344693826511502,
    0.03451953735202551,
    0.034947152715176344,
    0.044583380687981844,
    0.05683606630191207,
    0.06596461730077863,
    0.07763358252122998,
    0.09486618032678962,
    0.10904942359775305,
    0.11495370185002685,
    0.13475186238065362,
    0.17125586001202464,
    0.18905559601262212,
    0.17775098327547312,
    0.15145241981372237,
    0.11884513823315501,
    0.0858224518597126,
    0.05778636410832405,
    0.04338024137541652,
    0.0386958378367126,
    0.027152132242918015,
    0.025414035189896822,
    0.04136011516675353,
    0.07036281051114202,
    0.1052028825506568,
    0.12041697697713971,
    0.12713304674252868,
    0.13864799728617072,
    0.12511046743020415,
    0.09781357878819108,
    0.08036590507254004,
    0.0652049514465034,
    0.05642011854797602,
    0.05327962106093764,
    0.04590552067384124,
    0.046756144147366285,
    0.04722373513504863,
    0.043569597881287336,
    0.05100734671577811,
    0.056035266257822514,
    0.060846217442303896,
    0.06756885768845677,
    0.06961862370371819,
    0.07402373244985938,
    0.08029038971289992,
    0.08604619046673179,
    0.07633395167067647,
    0.06329916324466467,
    0.0458027902059257,
    0.035197991877794266,
    0.025263239163905382,
    0.025603558402508497,
    0.027108230162411928,
    0.02941638370975852,
    0.027810894418507814,
    0.04030877398326993,
    0.05699752038344741,
    0.06984462821856141,
    0.0676455763168633,
    0.052323044277727604,
    0.04125545499846339,
    0.03741058288142085,
    0.04007605044171214,
    0.0490723610855639,
    0.061115144751966,
    0.07476502796635032,
    0.07893381314352155,
    0.09767654445022345,
    0.11853723274543881,
    0.12106023216620088,
    0.13186918618157506,
    0.13203071895986795,
    0.12322978815063834,
    0.10360390087589622,
    0.07321987673640251,
    0.04419045662507415,
    0.015789241064339876,
    -0.0031321533024311066,
    -0.013160530012100935,
    -0.007113470695912838,
    0.006987769156694412,
    0.02168435463681817,
    0.03313425509259105,
    0.0429926454089582,
    0.06308812042698264,
    0.08290706155821681,
    0.10191001510247588,
    0.10524728801101446,
    0.10943105444312096,
    0.08681184705346823,
    0.06025643274188042,
    0.037350610829889774,
    0.027745443861931562,
    0.02921023638918996,
    0.045289944391697645,
    0.06228269683197141,
    0.06831135507673025,
    0.056230570655316114,
    0.05072306143119931,
    0.039822729770094156,
    0.04743616422638297,
    0.059778567869216204,
    0.07603914337232709,
    0.09110658522695303,
    0.10683638975024223,
    0.08938628854230046,
    0.07011446030810475,
    0.05768429068848491,
    0.05268364818766713,
    0.04231706773862243,
    0.031767156440764666,
    0.02719843527302146,
    0.023008536081761122,
    0.02436091098934412,
    0.03577774437144399,
    0.046196678187698126,
    0.046181661542505026,
    0.04571880539879203,
    0.040029644034802914,
    0.04606757964938879,
    0.043122205417603254,
    0.039792188443243504,
    0.038154216948896646,
    0.04716260405257344,
    0.0434337561018765,
    0.03695886814966798,
    0.03328413423150778,
    0.037742319982498884,
    0.04142974643036723,
    0.04198839841410518,
    0.048235427122563124,
    0.05563822528347373,
    0.05772282602265477,
    0.05934896832332015,
    0.06580354319885373,
    0.06275052623823285,
    0.06841822480782866,
    0.08357226150110364,
    0.10767425457015634,
    0.12429360067471862,
    0.12103540077805519,
    0.10559614840894938,
    0.09027443872764707,
    0.06524246977642179,
    0.04104097979143262,
    0.020265897270292044,
    0.012994570191949606,
    0.013371386099606752,
    0.017914304975420237,
    0.0425385027192533,
    0.06767287896946073,
    0.10230867471545935,
    0.12672714283689857,
    0.14257158851251006,
    0.14959465572610497,
    0.13843380426988006,
    0.12629378167912364,
    0.1120452075265348,
    0.081655562389642,
    0.0598952928557992,
    0.045161452144384384,
    0.041025344748049974,
    0.048709969501942396,
    0.06004405627027154,
    0.0648433300666511,
    0.0669399886392057,
    0.0638868073001504,
    0.06336334208026528,
    0.058811087626963854,
    0.06705323373898864,
    0.08051189174875617,
    0.09319555386900902,
    0.09971899166703224,
    0.10351450368762016,
    0.10711971810087562,
    0.10948103247210383,
    0.10489402012899518,
    0.09102484257891774,
    0.08463069377467036,
    0.0796590456739068,
    0.08452631579712033,
    0.08697715727612376,
    0.07554296543821692,
    0.06190747441723943,
    0.05226754257455468,
    0.05533490749076009,
    0.062483306508511305,
    0.07200385117903352,
    0.06095977174118161,
    0.04642803082242608,
    0.02953335316851735,
    0.03718517208471894,
    0.04219492943957448,
    0.050951491575688124,
    0.06292342534288764,
    0.06953807221725583,
    0.06628416385501623,
    0.06882128538563848,
    0.07985572190955281,
    0.10731256892904639,
    0.13368229661136866,
    0.14318851521238685,
    0.14710375806316733,
    0.1430637133307755,
    0.1412675022147596,
    0.1102799135260284,
    0.08334553334861994,
    0.06229641800746322,
    0.06278089107945561,
    0.06897516595199704,
    0.0801061955280602,
    0.09131738869473338,
    0.10323142260313034,
    0.10830087633803487,
    0.12237009452655911,
    0.13183992682024837,
    0.135000501293689,
    0.1220192601904273,
    0.10842974251136184,
    0.09308761591091752,
    0.06939848512411118,
    0.04537855926901102,
    0.035840210039168596,
    0.03857776103541255,
    0.04291034070774913,
    0.0401889942586422,
    0.04114431282505393,
    0.04610251961275935,
    0.05735777644440532,
    0.06689177686348557,
    0.07987012714147568,
    0.09518251242116094,
    0.11460426496341825,
    0.14068688359111547,
    0.15995689248666167,
    0.16654899809509516,
    0.1614976949058473,
    0.13740258989855647,
    0.11919295135885477,
    0.09302939893677831,
    0.06753855245187879,
    0.05096412356942892,
    0.04707739595323801,
    0.0517086167819798,
    0.0600330694578588,
    0.07442686846479774,
    0.06446889042854309,
    0.06943676760420203,
    0.08156668627634645,
    0.09563566790893674,
    0.09471476171165705,
    0.09238651441410184,
    0.08850431675091386,
    0.08339363755658269,
    0.08073625015094876,
    0.08673160104081035,
    0.0789390210993588,
    0.0668107126839459,
    0.04343005595728755,
    0.03979331348091364,
    0.045889708679169416,
    0.05216422909870744,
    0.06996887316927314,
    0.08783165877684951,
    0.11644161399453878,
    0.14774511847645044,
    0.16840749373659492,
    0.18630864331498742,
    0.18586815940216184,
    0.15714442590251565,
    0.12335863383486867,
    0.09170857490971684,
    0.05926788179203868,
    0.03945541009306908,
    0.0237775226123631,
    0.013571673072874546,
    0.005743399728089571,
    0.006057341117411852,
    0.01699324743822217,
    0.04855528520420194,
    0.08461383124813437,
    0.1002612947486341,
    0.09709266480058432,
    0.0875120465643704,
    0.08455993607640266,
    0.07966497307643294,
    0.07044659182429314,
    0.061515011359006166,
    0.0611946820281446,
    0.056989248376339674,
    0.05960302473977208,
    0.07314747897908092,
    0.07974433479830623,
    0.07626903848722577,
    0.07648816099390388,
    0.07793148513883352,
    0.0767657388933003,
    0.07520147087052464,
    0.07953633135184646,
    0.08225886011496186,
    0.09933983953669667,
    0.12316050752997398,
    0.15385467978194356,
    0.14877251582220197,
    0.13304946152493358,
    0.11591521557420492,
    0.09951766906306148,
    0.0858333152718842,
    0.0687794303521514,
    0.06250776397064328,
    0.05772371916100383,
    0.048241541255265474,
    0.04253458371385932,
    0.04513790877535939,
    0.0638613230548799,
    0.07666119234636426,
    0.07481545628979802,
    0.07217946695163846,
    0.061177477706223726,
    0.04609861131757498,
    0.04341496014967561,
    0.04854258056730032,
    0.06042703101411462,
    0.07056087395176291,
    0.06258296873420477,
    0.06047898856922984,
    0.06325703440234065,
    0.05953791132196784,
    0.06128966948017478,
    0.068958998657763,
    0.07269419869408011,
    0.08165928116068244,
    0.08858722494915128,
    0.08846924593672156,
    0.07329629454761744,
    0.06295681046321988,
    0.06112447753548622,
    0.057386583648622036,
    0.05503625841811299,
    0.05135055212303996,
    0.04714484605938196,
    0.04248804971575737,
    0.043442627880722284,
    0.045670554507523775,
    0.05924971820786595,
    0.06039984570816159,
    0.0661135888658464,
    0.06436027912423015,
    0.061684057116508484,
    0.05310859205201268,
    0.05543323466554284,
    0.06566188391298056,
    0.06613528775051236,
    0.04443770740181208,
    0.027665025554597378,
    0.015331709291785955,
    0.006363365799188614,
    0.006722401361912489,
    0.009725164156407118,
    0.0032046353444457054,
    0.00412766681984067,
    0.004825484473258257,
    0.010285770986229181,
    0.024028504732996225,
    0.036431729793548584,
    0.02645727014169097,
    0.024958405178040266,
    0.03352251788601279,
    0.03976723924279213,
    0.034268812742084265,
    0.0348324216902256,
    0.04282098403200507,
    0.04550685780122876,
    0.040789110120385885,
    0.0373440315015614,
    0.04528933670371771,
    0.05267523555085063,
    0.06962527008727193,
    0.08033969765529037,
    0.080934121273458,
    0.07656490942463279,
    0.07005056133493781,
    0.06131404312327504,
    0.059809662867337465,
    0.05061628017574549,
    0.05776444124057889,
    0.0663965311832726,
    0.06384452804923058,
    0.05932239769026637,
    0.06012315722182393,
    0.061681832652539015,
    0.08041591104120016,
    0.09721162496134639,
    0.10446431394666433,
    0.08823835430666804,
    0.07248031999915838,
    0.05754809221252799,
    0.052381272893399,
    0.05607811128720641,
    0.06147689511999488,
    0.06978295790031552,
    0.08043791865929961,
    0.09584747394546866,
    0.12148329196497798,
    0.13764500012621284,
    0.1498961984179914,
    0.1626225938089192,
    0.1735384170897305,
    0.17170009901747108,
    0.15674057463184,
    0.13642026530578732,
    0.11348807392641902,
    0.08440258866176009,
    0.05610057199373841,
    0.04782454716041684,
    0.046344023663550615,
    0.028425393160432577,
    0.03528254060074687,
    0.05514959758147597,
    0.07797162560746074,
    0.11408916022628546,
    0.12832190142944455,
    0.13588126515969634,
    0.14316978678107262,
    0.1416593617759645,
    0.13734178384765983,
    0.13326645782217383,
    0.10806553391739726,
    0.08298191335052252,
    0.0637851138599217,
    0.05666603473946452,
    0.05035689054057002,
    0.05203548679128289,
    0.05702272383496165,
    0.06388054182752967,
    0.05892919097095728,
    0.06062773475423455,
    0.06708412291482091,
    0.07534952973946929,
    0.09243606915697455,
    0.11700877314433455,
    0.13723709573969245,
    0.12673864886164665,
    0.1022340296767652,
    0.08001914201304317,
    0.06074535707011819,
    0.04476356180384755,
    0.037072482984513044,
    0.02869278285652399,
    0.03219811758026481,
    0.035875904839485884,
    0.03493243036791682,
    0.04352420475333929,
    0.0641978164203465,
    0.08182588638737798,
    0.08407289860770106,
    0.07286114478483796,
    0.06448660371825099,
    0.06379203265532851,
    0.06947557535022497,
    0.07450681598857045,
    0.07909501763060689,
    0.08162776520475745,
    0.08984307991340756,
    0.10328969266265631,
    0.11723757116124034,
    0.124012500513345,
    0.12978276005014777,
    0.11564226541668177,
    0.10535168554633856,
    0.10008657118305564,
    0.10059254756197333,
    0.09205079497769475,
    0.0722268302924931,
    0.05954466154798865,
    0.05685668112710118,
    0.06441595451906323,
    0.07762393029406667,
    0.09096013335511088,
    0.09613265888765454,
    0.09261506469920278,
    0.10393417533487082,
    0.11303674010559916,
    0.11090899026021361,
    0.10838802065700293,
    0.11120707960799336,
    0.09317795233801007,
    0.07918296009302139,
    0.0595612833276391,
    0.050976813305169344,
    0.03934761928394437,
    0.040821108501404524,
    0.05510328616946936,
    0.07538889395073056,
    0.06952090607956052,
    0.05937192915007472,
    0.05009198421612382,
    0.04998372169211507,
    0.0623490116558969,
    0.08412487106397748,
    0.10571799008175731,
    0.13009086018428206,
    0.1305294935591519,
    0.12391394143924117,
    0.10400782665237784,
    0.09254127414897084,
    0.08103611459955573,
    0.05833637760952115,
    0.06145736714825034,
    0.07008285401389003,
    0.08135232096537948,
    0.08514327416196465,
    0.08569284668192267,
    0.0783591978251934
  ],
  "coil": [
    0.399799644947052,
    0.4043481945991516,
    0.3850621283054352,
    0.4043845236301422,
    0.41759902238845825,
    0.41917821764945984,
    0.4156809449195862,
    0.4095008075237274,
    0.39402028918266296,
    0.3753871023654938,
    0.35901933908462524,
    0.32511118054389954,
    0.2859915494918823,
    0.2588316798210144,
    0.24497029185295105,
    0.22127091884613037,
    0.19217842817306519,
    0.19166898727416992,
    0.20924261212348938,
    0.21354153752326965,
    0.22280409932136536,
    0.24983099102973938,
    0.28708112239837646,
    0.31988395750522614,
    0.3420092761516571,
    0.38160280883312225,
    0.42307035624980927,
    0.46842171251773834,
    0.49335162341594696,
    0.5282508730888367,
    0.5179800391197205,
    0.442139595746994,
    0.3717035800218582,
    0.3444775193929672,
    0.3072514981031418,
    0.25157321989536285,
    0.22078754007816315,
    0.23349182307720184,
    0.2639306038618088,
    0.29115624725818634,
    0.30858100950717926,
    0.31001925468444824,
    0.31036245822906494,
    0.31047970056533813,
    0.2793291062116623,
    0.2588243633508682,
    0.26022645831108093,
    0.27565817534923553,
    0.3209872394800186,
    0.38348735868930817,
    0.4185072183609009,
    0.42671045660972595,
    0.453438475728035,
    0.4406818449497223,
    0.44261547923088074,
    0.4326692223548889,
    0.46777795255184174,
    0.45615871250629425,
    0.45380306243896484,
    0.4068557918071747,
    0.34031425416469574,
    0.2509269267320633,
    0.18023920059204102,
    0.13059276342391968,
    0.09382167458534241,
    0.12390264868736267,
    0.19447439908981323,
    0.29384858906269073,
    0.38109683990478516,
    0.4757707715034485,
    0.5387925803661346,
    0.5160103887319565,
    0.4867073744535446,
    0.41264916956424713,
    0.34410418570041656,
    0.3264292925596237,
    0.3236403912305832,
    0.31509384512901306,
    0.3247731029987335,
    0.34532666206359863,
    0.3557417094707489,
    0.37821079790592194,
    0.4080637991428375,
    0.4029887765645981,
    0.3972148597240448,
    0.4105204939842224,
    0.43185722827911377,
    0.45617014169692993,
    0.4873111993074417,
    0.4935784935951233,
    0.4438527971506119,
    0.3589562177658081,
    0.27876557409763336,
    0.2361292839050293,
    0.2019956111907959,
    0.24120722711086273,
    0.28799964487552643,
    0.34723325073719025,
    0.4288940876722336,
    0.48531265556812286,
    0.4858042001724243,
    0.41625024378299713,
    0.33285024762153625,
    0.26189710199832916,
    0.19916698336601257,
    0.15279102325439453,
    0.15414950251579285,
    0.18901601433753967,
    0.22802026569843292,
    0.2599387466907501,
    0.315092071890831,
    0.4088088721036911,
    0.5139290392398834,
    0.5670784413814545,
    0.55946946144104,
    0.5269651859998703,
    0.4917910546064377,
    0.4665061831474304,
    0.4158037304878235,
    0.36727237701416016,
    0.32878339290618896,
    0.2813829928636551,
    0.2741345912218094,
    0.2494000494480133,
    0.2477196455001831,
    0.25259485840797424,
    0.26988767087459564,
    0.2802036255598068,
    0.31508125364780426,
    0.40432223677635193,
    0.46285372972488403,
    0.4749203324317932,
    0.4304429590702057,
    0.3636943846940994,
    0.3233816623687744,
    0.2878909856081009,
    0.24137769639492035,
    0.23680998384952545,
    0.27432213723659515,
    0.34419412910938263,
    0.4267475754022598,
    0.5008246302604675,
    0.5245310962200165,
    0.4935852885246277,
    0.4464898705482483,
    0.3588532507419586,
    0.3238299489021301,
    0.3118099123239517,
    0.342668354511261,
    0.38293707370758057,
    0.4073365032672882,
    0.42694027721881866,
    0.3801439702510834,
    0.3271043002605438,
    0.31285813450813293,
    0.2732822597026825,
    0.24138039350509644,
    0.2383955419063568,
    0.28118814527988434,
    0.28442980349063873,
    0.31293658912181854,
    0.3903862535953522,
    0.4545498937368393,
    0.4912107586860657,
    0.48994041979312897,
    0.5457840859889984,
    0.5858260691165924,
    0.5923622995615005,
    0.5774600803852081,
    0.5818951576948166,
    0.5832478404045105,
    0.549823135137558,
    0.45055152475833893,
    0.3564199209213257,
    0.2895765155553818,
    0.2687230557203293,
    0.26634909212589264,
    0.30019958317279816,
    0.32946160435676575,
    0.35494714975357056,
    0.3768172115087509,
    0.40683627128601074,
    0.4059150815010071,
    0.40457944571971893,
    0.42918291687965393,
    0.48518283665180206,
    0.5129409730434418,
    0.5137196183204651,
    0.480365052819252,
    0.3869883716106415,
    0.2964002192020416,
    0.21554680168628693,
    0.187260240316391,
    0.17225924134254456,
    0.20381760597229004,
    0.25935862958431244,
    0.3229878097772598,
    0.3759519159793854,
    0.46099957823753357,
    0.5276933759450912,
    0.538954496383667,
    0.5429224222898483,
    0.49081146717071533,
    0.42616014182567596,
    0.36903704702854156,
    0.32060591876506805,
    0.2952547073364258,
    0.2985254228115082,
    0.3199639618396759,
    0.3790861964225769,
    0.4203809052705765,
    0.449497252702713,
    0.45444826781749725,
    0.46999962627887726,
    0.4559856206178665,
    0.4528895318508148,
    0.4483768939971924,
    0.4203506112098694,
    0.3968604803085327,
    0.36482593417167664,
    0.3290742039680481,
    0.27579106390476227,
    0.24631424248218536,
    0.244991734623909,
    0.29719026386737823,
    0.37990525364875793,
    0.4150969833135605,
    0.451157346367836,
    0.49112099409103394,
    0.4663033187389374,
    0.39889974892139435,
    0.33333250880241394,
    0.27937570214271545,
    0.259637787938118,
    0.25830768048763275,
    0.29708535969257355,
    0.34883294999599457,
    0.3884595036506653,
    0.43963347375392914,
    0.5150843113660812,
    0.609016478061676,
    0.6706622838973999,
    0.6488856226205826,
    0.5899849385023117,
    0.5363931208848953,
    0.49924907088279724,
    0.4418911635875702,
    0.3696252852678299,
    0.3143465220928192,
    0.2577136605978012,
    0.22118359804153442,
    0.19273455440998077,
    0.18684926629066467,
    0.18597294390201569,
    0.1916283816099167,
    0.2159639149904251,
    0.2706374526023865,
    0.34982654452323914,
    0.43170320987701416,
    0.45880216360092163,
    0.4951167404651642,
    0.475928395986557,
    0.43971431255340576,
    0.4233742952346802,
    0.41507822275161743,
    0.40778450667858124,
    0.37290626764297485,
    0.3546317219734192,
    0.37273430824279785,
    0.36206628382205963,
    0.3185000717639923,
    0.2801775187253952,
    0.26773877441883087,
    0.29925350844860077,
    0.3459378629922867,
    0.42484697699546814,
    0.4866676926612854,
    0.5350076854228973,
    0.5361299514770508,
    0.4584861844778061,
    0.3891833871603012,
    0.3193630427122116,
    0.2524549663066864,
    0.2109542191028595,
    0.2069244533777237,
    0.24359440803527832,
    0.29026035964488983,
    0.3597309738397598,
    0.4140070676803589,
    0.46752364933490753,
    0.5056371986865997,
    0.48920582234859467,
    0.459977850317955,
    0.4133363664150238,
    0.3514951020479202,
    0.2653956115245819,
    0.19603635370731354,
    0.15738408267498016,
    0.13137033581733704,
    0.11524456739425659,
    0.14537613093852997,
    0.21285465359687805,
    0.2822783440351486,
    0.332377627491951,
    0.3665773868560791,
    0.41245950758457184,
    0.4151204526424408,
    0.42123864591121674,
    0.44075746834278107,
    0.4621208757162094,
    0.43297187983989716,
    0.402406245470047,
    0.33932626247406006,
    0.2662222385406494,
    0.15884341299533844,
    0.08514554798603058,
    0.04624205827713013,
    0.03950910270214081,
    0.07537543773651123,
    0.15128307044506073,
    0.2603728175163269,
    0.35216833651065826,
    0.43917715549468994,
    0.520278200507164,
    0.5678661614656448,
    0.6154319941997528,
    0.5890615433454514,
    0.5572735816240311,
    0.4988863915205002,
    0.39546410739421844,
    0.3109511435031891,
    0.2580888271331787,
    0.25167280435562134,
    0.25732722878456116,
    0.3036602884531021,
    0.35654929280281067,
    0.3892505466938019,
    0.43344902992248535,
    0.4661337435245514,
    0.4903686195611954,
    0.5102784931659698,
    0.48717422783374786,
    0.4603993147611618,
    0.40557652711868286,
    0.3540907949209213,
    0.27139484882354736,
    0.20878630876541138,
    0.13792768120765686,
    0.12664443254470825,
    0.13020260632038116,
    0.1339297890663147,
    0.16657933592796326,
    0.2302284985780716,
    0.2954026609659195,
    0.360165536403656,
    0.3937138319015503,
    0.401751384139061,
    0.4223453998565674,
    0.43320730328559875,
    0.42196425795555115,
    0.428646445274353,
    0.43332213163375854,
    0.44226498901844025,
    0.4540790170431137,
    0.5035624504089355,
    0.5176010727882385,
    0.5107978135347366,
    0.4560290277004242,
    0.3893829435110092,
    0.39875268936157227,
    0.44353950023651123,
    0.4417745769023895,
    0.39839936792850494,
    0.3721555918455124,
    0.31770025193691254,
    0.2509985566139221,
    0.200278177857399,
    0.18000957369804382,
    0.16828902065753937,
    0.17509640753269196,
    0.20954503118991852,
    0.26905350387096405,
    0.3244699090719223,
    0.37746480107307434,
    0.4374064803123474,
    0.46787048876285553,
    0.4472694396972656,
    0.434988409280777,
    0.4163334369659424,
    0.40052852034568787,
    0.4017992615699768,
    0.3970390856266022,
    0.3754224181175232,
    0.408000648021698,
    0.40727660059928894,
    0.4221722483634949,
    0.390000119805336,
    0.34652070701122284,
    0.3129194527864456,
    0.30923937261104584,
    0.3581106811761856,
    0.3877735137939453,
    0.39408692717552185,
    0.3647865355014801,
    0.3153907507658005,
    0.28537529706954956,
    0.26664334535598755,
    0.23327156901359558,
    0.2203187197446823,
    0.21329094469547272,
    0.22562411427497864,
    0.22692514955997467,
    0.22420905530452728,
    0.21699722111225128,
    0.19174037873744965,
    0.20387983322143555,
    0.23793663084506989,
    0.27818870544433594,
    0.3073076456785202,
    0.3406253010034561,
    0.36894774436950684,
    0.3727455139160156,
    0.3852403163909912,
    0.4106025844812393,
    0.41134022176265717,
    0.3907533586025238,
    0.37664081156253815,
    0.34752656519412994,
    0.29926256835460663,
    0.24527783691883087,
    0.2101924866437912,
    0.2089541256427765,
    0.2183700054883957,
    0.25190405547618866,
    0.27724525332450867,
    0.3138846158981323,
    0.3696523755788803,
    0.4381488710641861,
    0.5295562744140625,
    0.5796701908111572,
    0.6269847601652145,
    0.6086303144693375,
    0.5123606771230698,
    0.3738114833831787,
    0.27224503457546234,
    0.2051040530204773,
    0.15144450962543488,
    0.143594890832901,
    0.2001517415046692,
    0.28416241705417633,
    0.41068725287914276,
    0.5007621645927429,
    0.5507269203662872,
    0.5137778669595718,
    0.469758078455925,
    0.392017126083374,
    0.30386289954185486,
    0.24606478214263916,
    0.21257391571998596,
    0.2503918409347534,
    0.32736359536647797,
    0.4323239028453827,
    0.5115059018135071,
    0.5874186009168625,
    0.5910025984048843,
    0.5214352905750275,
    0.4699132591485977,
    0.41211825609207153,
    0.382713258266449,
    0.3431381285190582,
    0.33910830318927765,
    0.3111349046230316,
    0.22770754992961884,
    0.18627290427684784,
    0.20520050823688507,
    0.2322065681219101,
    0.2590579688549042,
    0.2694139778614044,
    0.31905366480350494,
    0.3614340126514435,
    0.4011012315750122,
    0.46887877583503723,
    0.496027335524559,
    0.45703670382499695,
    0.3820541352033615,
    0.3260038495063782,
    0.29413703083992004,
    0.2657909095287323,
    0.25820396840572357,
    0.25627170503139496,
    0.2833511680364609,
    0.32318104803562164,
    0.39039087295532227,
    0.49557235836982727,
    0.5615173578262329,
    0.5962427854537964,
    0.6116366237401962,
    0.6194337457418442,
    0.5830629765987396,
    0.561388224363327,
    0.4752812683582306,
    0.41029225289821625,
    0.29581715166568756,
    0.2352411299943924,
    0.21238265931606293,
    0.24200671911239624,
    0.27163703739643097,
    0.32056549191474915,
    0.3541543781757355,
    0.3834008723497391,
    0.3961646556854248,
    0.42625996470451355,
    0.4430113434791565,
    0.4318332076072693,
    0.44433821737766266,
    0.4405414015054703,
    0.42919470369815826,
    0.4213353395462036,
    0.4182184040546417,
    0.43152210116386414,
    0.4268225282430649,
    0.4142084866762161,
    0.39611440896987915,
    0.3705552965402603,
    0.3370267301797867,
    0.3542163223028183,
    0.4027791768312454,
    0.4580756723880768,
    0.5134961307048798,
    0.5411549359560013,
    0.5352222323417664,
    0.4994068741798401,
    0.4110158383846283,
    0.31279681622982025,
    0.25852520763874054,
    0.21359845995903015,
    0.19317014515399933,
    0.2599627822637558,
    0.3741161376237869,
    0.46224716305732727,
    0.5052249580621719,
    0.5379984825849533,
    0.47632259130477905,
    0.4268956184387207,
    0.3718029111623764,
    0.3254120647907257,
    0.2690768837928772,
    0.24673782289028168,
    0.2642125189304352,
    0.2934192717075348,
    0.3359348028898239,
    0.3931815028190613,
    0.4079972356557846,
    0.40296541154384613,
    0.3886902630329132,
    0.34952135384082794,
    0.297222301363945,
    0.2883738875389099,
    0.2948593199253082,
    0.31148362159729004,
    0.3151940852403641,
    0.33122844994068146,
    0.3602147102355957,
    0.3871316760778427,
    0.40752245485782623,
    0.4317994713783264,
    0.48718103766441345,
    0.5054462999105453,
    0.5077277272939682,
    0.4582056403160095,
    0.38459521532058716,
    0.2985752522945404,
    0.23105458915233612,
    0.17428241670131683,
    0.162068173289299,
    0.2090211659669876,
    0.27062827348709106,
    0.37300606071949005,
    0.43873099982738495,
    0.5206471085548401,
    0.5482508093118668,
    0.5368360131978989,
    0.5405543595552444,
    0.4962451010942459,
    0.388294979929924,
    0.28552116453647614,
    0.2211546152830124,
    0.19288045167922974,
    0.19457024335861206,
    0.2600246071815491,
    0.35281750559806824,
    0.43741388618946075,
    0.4999485909938812,
    0.5469704419374466,
    0.5323246717453003,
    0.46395474672317505,
    0.3980139344930649,
    0.33942198753356934,
    0.3245198130607605,
    0.35004086792469025,
    0.4140354245901108,
    0.47054028511047363,
    0.5240738838911057,
    0.5035543590784073,
    0.44448158144950867,
    0.3835829347372055,
    0.3464488089084625,
    0.307690367102623,
    0.26887206733226776,
    0.26087117195129395,
    0.2588815242052078,
    0.2905774712562561,
    0.33174777030944824,
    0.37469322979450226,
    0.4014396220445633,
    0.39143526554107666,
    0.33186009526252747,
    0.26343831419944763,
    0.2199350744485855,
    0.2063547968864441,
    0.2159121334552765,
    0.2579711824655533,
    0.3243822902441025,
    0.4239220768213272,
    0.5455626249313354,
    0.6105326116085052,
    0.6637813448905945,
    0.6614676862955093,
    0.6642908751964569,
    0.6166082322597504,
    0.5732284933328629,
    0.45257435739040375,
    0.36768896877765656,
    0.2920006215572357,
    0.260594978928566,
    0.2505067437887192,
    0.23950332403182983,
    0.24229009449481964,
    0.2688548266887665,
    0.31435707211494446,
    0.3709176182746887,
    0.44412025809288025,
    0.5393004715442657,
    0.5936606526374817,
    0.6038398146629333,
    0.5746144652366638,
    0.5696038901805878,
    0.5959994345903397,
    0.5894300490617752,
    0.52888523042202,
    0.4455113708972931,
    0.35971584916114807,
    0.2988673895597458,
    0.25869283080101013,
    0.2754857987165451,
    0.2661578506231308,
    0.2730558216571808,
    0.29514095187187195,
    0.3561268150806427,
    0.42347218096256256,
    0.48601290583610535,
    0.547921672463417,
    0.5923231691122055,
    0.5995299220085144,
    0.5527819842100143,
    0.4413566142320633,
    0.3478998839855194,
    0.2940485030412674,
    0.2334350347518921,
    0.19725166261196136,
    0.2469325065612793,
    0.34309935569763184,
    0.41655687987804413,
    0.45156794786453247,
    0.5208076387643814,
    0.5401557981967926,
    0.5262275338172913,
    0.46056272089481354,
    0.42442838847637177,
    0.39041028916835785,
    0.3592301160097122,
    0.3548605740070343,
    0.3486369252204895,
    0.33184510469436646,
    0.3000084012746811,
    0.2822374999523163,
    0.2855604439973831,
    0.3031923174858093,
    0.3336857110261917,
    0.3957432955503464,
    0.4513509124517441,
    0.4949372559785843,
    0.5115180909633636,
    0.5365558713674545,
    0.5249754637479782,
    0.49851351976394653,
    0.4769819527864456,
    0.4926127791404724,
    0.5067092180252075,
    0.48134656250476837,
    0.42995084822177887,
    0.35337479412555695,
    0.23242123425006866,
    0.16538390517234802,
    0.15056639909744263,
    0.1472223699092865,
    0.19983473420143127,
    0.2938172519207001,
    0.40515871345996857,
    0.5098171979188919,
    0.5897158980369568,
    0.5917595326900482,
    0.5507132709026337,
    0.4911862909793854,
    0.40358610451221466,
    0.2927333861589432,
    0.1840388923883438,
    0.11966840922832489,
    0.11181935667991638,
    0.14561600983142853,
    0.20193976163864136,
    0.271589994430542,
    0.3651363253593445,
    0.46949702501296997,
    0.5374555736780167,
    0.5552706271409988,
    0.5091333091259003,
    0.4256799966096878,
    0.3708796054124832,
    0.3496224731206894,
    0.33187927305698395,
    0.3543415665626526,
    0.36594589054584503,
    0.37886737287044525,
    0.3750569224357605,
    0.33738845586776733,
    0.318170964717865,
    0.29697713255882263,
    0.26845528185367584,
    0.2600163370370865,
    0.23838703334331512,
    0.23487254977226257,
    0.26753975450992584,
    0.3088608980178833,
    0.34900109469890594,
    0.38284599781036377,
    0.39564645290374756,
    0.41068877279758453,
    0.3683971166610718,
    0.3277486711740494,
    0.27846282720565796,
    0.2635865956544876,
    0.2958683967590332,
    0.3435391038656235,
    0.4051847606897354,
    0.4579455256462097,
    0.5200646221637726,
    0.5330001711845398,
    0.508665144443512,
    0.45948047935962677,
    0.43711793422698975,
    0.37985745072364807,
    0.33688752353191376,
    0.3052421510219574,
    0.2998806834220886,
    0.31025736033916473,
    0.32239100337028503,
    0.30149130523204803,
    0.3087284564971924,
    0.2955486476421356,
    0.2772199213504791,
    0.2936936318874359,
    0.29916319251060486,
    0.31946447491645813,
    0.36508388817310333,
    0.4432065337896347,
    0.4961053729057312,
    0.508465051651001,
    0.5015062689781189,
    0.4626650959253311,
    0.42610524594783783,
    0.3986123204231262,
    0.3605537563562393,
    0.3367241770029068,
    0.3754377216100693,
    0.4012075960636139,
    0.3775961697101593,
    0.35187044739723206,
    0.33590056002140045,
    0.3325369507074356,
    0.36450202763080597,
    0.43341851234436035,
    0.4713164418935776,
    0.47756288945674896,
    0.46548834443092346,
    0.4094725549221039,
    0.3558450937271118,
    0.3082925081253052,
    0.27398934960365295,
    0.26154057681560516,
    0.28848275542259216,
    0.35126711428165436,
    0.392024889588356,
    0.3850206881761551,
    0.3832622766494751,
    0.33604852855205536,
    0.28280049562454224,
    0.22469088435173035,
    0.21125993132591248,
    0.2107178270816803,
    0.22923828661441803,
    0.26161885261535645,
    0.28214016556739807,
    0.27957022190093994,
    0.26183608174324036,
    0.25721149146556854,
    0.26389408111572266,
    0.24774886667728424,
    0.23957066237926483,
    0.2609250545501709,
    0.29376570880413055,
    0.3349762260913849,
    0.3899819254875183,
    0.4676601439714432,
    0.50885970890522,
    0.4901416301727295,
    0.4845103770494461,
    0.48940005898475647,
    0.4311242997646332,
    0.3933752179145813,
    0.31830713152885437,
    0.24409376084804535,
    0.1762162446975708,
    0.145629420876503,
    0.14812327921390533,
    0.1572069376707077,
    0.19110007584095,
    0.24757957458496094,
    0.33015118539333344,
    0.3937406539916992,
    0.463533878326416,
    0.5010688155889511,
    0.4740373194217682,
    0.40414290130138397,
    0.2911771237850189,
    0.18258096277713776,
    0.1418936401605606,
    0.1357012242078781,
    0.18208399415016174,
    0.23746666312217712,
    0.324148565530777,
    0.378119558095932,
    0.4098091274499893,
    0.3944849818944931,
    0.3419678658246994,
    0.3030621111392975,
    0.28132444620132446,
    0.3036854714155197,
    0.3363524377346039,
    0.3893381655216217,
    0.4126521348953247,
    0.4116116017103195,
    0.41124729812145233,
    0.38600383698940277,
    0.3097050040960312,
    0.25157755613327026,
    0.24629579484462738,
    0.26590125262737274,
    0.30649828910827637,
    0.35600546002388,
    0.39071665704250336,
    0.3614818602800369,
    0.2964320629835129,
    0.24175690114498138,
    0.1866654008626938,
    0.17240886390209198,
    0.17272192239761353,
    0.22120165824890137,
    0.30583807826042175,
    0.40358594059944153,
    0.4604308158159256,
    0.5218307673931122,
    0.5794172585010529,
    0.5771760046482086,
    0.5792857110500336,
    0.5818467289209366,
    0.5907106697559357,
    0.5387096852064133,
    0.4877173751592636,
    0.44528578221797943,
    0.3947167992591858,
    0.3220950961112976,
    0.288097083568573,
    0.26608411967754364,
    0.25570203363895416,
    0.23368236422538757,
    0.23748596012592316,
    0.23458808660507202,
    0.23135130107402802,
    0.23193126916885376,
    0.24521617591381073,
    0.24209542572498322,
    0.23760472238063812,
    0.2503732293844223,
    0.29328930377960205,
    0.3868740350008011,
    0.4545387178659439,
    0.48571307957172394,
    0.45654016733169556,
    0.3985212445259094,
    0.3678027391433716,
    0.3316814601421356,
    0.332879900932312,
    0.3187251687049866,
    0.30677272379398346,
    0.2974814474582672,
    0.31065432727336884,
    0.3314715623855591,
    0.3403504341840744,
    0.3333142250776291,
    0.31619295477867126,
    0.29046161472797394,
    0.2455417811870575,
    0.20909415185451508,
    0.18301551043987274,
    0.20368677377700806,
    0.23548740148544312,
    0.24780957400798798,
    0.2590325176715851,
    0.2764456421136856,
    0.29588642716407776,
    0.29065653681755066,
    0.26888100802898407,
    0.2578466385602951,
    0.2731308490037918,
    0.30279217660427094,
    0.32727551460266113,
    0.3577148914337158,
    0.373938724398613,
    0.40263454616069794,
    0.4416264146566391,
    0.5046938210725784,
    0.5702608376741409,
    0.6060388833284378,
    0.6069286167621613,
    0.6021199375391006,
    0.5822214931249619,
    0.5554367154836655,
    0.5571822375059128,
    0.5550236701965332,
    0.5437365770339966,
    0.49741800129413605,
    0.4812728315591812,
    0.44961458444595337,
    0.44596801698207855,
    0.4678715467453003,
    0.49940523505210876,
    0.5149405151605606,
    0.5170862823724747,
    0.5217534899711609,
    0.5095262229442596,
    0.5382966846227646,
    0.5564437061548233,
    0.5445113629102707,
    0.5084099918603897,
    0.4676284193992615,
    0.4223761409521103,
    0.3907868266105652,
    0.38788121938705444,
    0.3780348300933838,
    0.35561603307724,
    0.34335459768772125,
    0.3406675010919571,
    0.3336309492588043,
    0.33561256527900696,
    0.3219161480665207,
    0.3486666828393936,
    0.4050247222185135,
    0.4906206578016281,
    0.5186890363693237,
    0.5374201685190201,
    0.5312425345182419,
    0.4992430955171585,
    0.4061571955680847,
    0.3182087391614914,
    0.2622300684452057,
    0.24712659418582916,
    0.2614867240190506,
    0.2794015407562256,
    0.29589544236660004,
    0.29393820464611053,
    0.29131631553173065,
    0.2812511473894119,
    0.27699536085128784,
    0.2644023150205612,
    0.24150995910167694,
    0.25016967952251434,
    0.290533110499382,
    0.35361166298389435,
    0.4368492215871811,
    0.5000521689653397,
    0.5516818463802338,
    0.5674342811107635,
    0.5300354063510895,
    0.4572295546531677,
    0.33605577051639557,
    0.24150171875953674,
    0.15800540149211884,
    0.12370830774307251,
    0.15782266855239868,
    0.2305801659822464,
    0.31323792040348053,
    0.39979296922683716,
    0.5340491980314255,
    0.6269670724868774,
    0.704528346657753,
    0.6949000060558319,
    0.6718577742576599,
    0.6412622034549713,
    0.6276535242795944,
    0.6005701720714569,
    0.5334920734167099,
    0.43705788254737854,
    0.3356945812702179,
    0.26285596191883087,
    0.22150011360645294,
    0.21666882932186127,
    0.2473301738500595,
    0.2980000525712967,
    0.3620803505182266,
    0.4257446378469467,
    0.48668113350868225,
    0.4800092428922653,
    0.4538770765066147,
    0.4811491221189499,
    0.5091464817523956,
    0.5033237934112549,
    0.5163218379020691,
    0.47905559837818146,
    0.40680167078971863,
    0.3285831809043884,
    0.2515834867954254,
    0.2025987058877945,
    0.17996108531951904,
    0.1956430971622467,
    0.24197854101657867,
    0.30581873655319214,
    0.3340361714363098,
    0.3819943070411682,
    0.4345092922449112,
    0.4866827130317688,
    0.5072185397148132,
    0.538937970995903,
    0.5277894586324692,
    0.47354403138160706,
    0.4458024799823761,
    0.3914647400379181,
    0.34831349551677704,
    0.3642658591270447,
    0.3804210424423218,
    0.41436804831027985,
    0.4686303734779358,
    0.49119578301906586,
    0.5034992396831512,
    0.5069807171821594,
    0.5052402466535568,
    0.4767654538154602,
    0.45382219552993774,
    0.45373643934726715,
    0.4849715083837509,
    0.5086298733949661,
    0.5225994735956192,
    0.49991588294506073,
    0.4353203922510147,
    0.3450898081064224,
    0.24618349969387054,
    0.17702457308769226,
    0.11993323266506195,
    0.11374048888683319,
    0.15469324588775635,
    0.22991764545440674,
    0.31252266466617584,
    0.34700027108192444,
    0.3477938324213028,
    0.35569608211517334,
    0.31336382031440735,
    0.26342666149139404,
    0.22706946730613708,
    0.21946962177753448,
    0.23306669294834137,
    0.2707168757915497,
    0.33813314139842987,
    0.4217209964990616,
    0.5420137941837311,
    0.620141014456749,
    0.6321897953748703,
    0.5843384265899658,
    0.5502777397632599,
    0.4868692308664322,
    0.4040433317422867,
    0.3272021561861038,
    0.27752847969532013,
    0.2426290363073349,
    0.23776355385780334,
    0.24215905368328094,
    0.27335891127586365,
    0.30870915949344635,
    0.34555232524871826,
    0.36961688101291656,
    0.40071818232536316,
    0.468742698431015,
    0.5290875434875488,
    0.5412779152393341,
    0.49600857496261597,
    0.42064017057418823,
    0.34988266229629517,
    0.2997734099626541,
    0.2725333124399185,
    0.28468503057956696,
    0.2976341098546982,
    0.2990044057369232,
    0.33404120802879333,
    0.3244013786315918,
    0.2945990264415741,
    0.2659357935190201,
    0.24416427314281464,
    0.22462357580661774,
    0.22660401463508606,
    0.30443932116031647,
    0.39970409870147705,
    0.48079220950603485,
    0.48543746769428253,
    0.42596961557865143,
    0.39495667815208435,
    0.3663328289985657,
    0.31089042127132416,
    0.2834605276584625,
    0.3067394345998764,
    0.374996542930603,
    0.41274629533290863,
    0.4468921720981598,
    0.4724939167499542,
    0.489211842417717,
    0.47151196002960205,
    0.42913229763507843,
    0.4250568002462387,
    0.4083581268787384,
    0.3828171342611313,
    0.36332541704177856,
    0.4031829684972763,
    0.4412404000759125,
    0.4583701640367508,
    0.49261800944805145,
    0.5436680167913437,
    0.6029252111911774,
    0.6158241778612137,
    0.6273107677698135,
    0.6478730291128159,
    0.6715754717588425,
    0.6604915112257004,
    0.5969804972410202,
    0.4900454431772232,
    0.42226916551589966,
    0.37804196774959564,
    0.34300491213798523,
    0.3015763610601425,
    0.2728863060474396,
    0.2860592007637024,
    0.34805044531822205,
    0.420548751950264,
    0.4886791259050369,
    0.5436746329069138,
    0.5629063695669174,
    0.5490989983081818,
    0.5002946257591248,
    0.45805059373378754,
    0.3985023498535156,
    0.32731083035469055,
    0.2740378975868225,
    0.26811352372169495,
    0.27668875455856323,
    0.27142609655857086,
    0.2814265340566635,
    0.3002137541770935,
    0.34422311186790466,
    0.37666215002536774,
    0.44070902466773987,
    0.493027463555336,
    0.523419663310051,
    0.5157949477434158,
    0.49594108760356903,
    0.45621323585510254,
    0.3758670538663864,
    0.3066309541463852,
    0.24262021481990814,
    0.1850036084651947,
    0.13137510418891907,
    0.15427154302597046,
    0.21388161182403564,
    0.30507855117321014,
    0.38782572746276855,
    0.4635954648256302,
    0.5150377005338669,
    0.5230603367090225,
    0.5014966279268265,
    0.449628546833992,
    0.3692643791437149,
    0.30196675658226013,
    0.25905074179172516,
    0.24632488191127777,
    0.2633584439754486,
    0.3023340404033661,
    0.3700343072414398,
    0.42993639409542084,
    0.49643775820732117,
    0.5291667431592941,
    0.5501419305801392,
    0.5322413146495819,
    0.49783140420913696,
    0.4392898380756378,
    0.4048353582620621,
    0.395198255777359,
    0.38603241741657257,
    0.3869052529335022,
    0.35058222711086273,
    0.2985093593597412,
    0.2318795770406723,
    0.21716654300689697,
    0.20363914966583252,
    0.21016950905323029,
    0.21070589125156403,
    0.24686121940612793,
    0.3112671375274658,
    0.37300461530685425,
    0.40777328610420227,
    0.408421128988266,
    0.38295988738536835,
    0.35568293929100037,
    0.28274233639240265,
    0.2099160999059677,
    0.1619456708431244,
    0.18272030353546143,
    0.24995875358581543,
    0.3446007966995239,
    0.4268246740102768,
    0.5002948641777039,
    0.5885557979345322,
    0.6390980333089828,
    0.6466447860002518,
    0.6163782030344009,
    0.5964671075344086,
    0.5507217943668365,
    0.4836248308420181,
    0.43722303211688995,
    0.4125519245862961,
    0.3482191115617752,
    0.28244540095329285,
    0.24649080634117126,
    0.24537330865859985,
    0.24574784934520721,
    0.28285880386829376,
    0.33947569131851196,
    0.40905526280403137,
    0.4284045398235321,
    0.4267643690109253,
    0.4602735638618469,
    0.4571909159421921,
    0.415535107254982,
    0.40853142738342285,
    0.41885237395763397,
    0.4051686078310013,
    0.4012134522199631,
    0.3894559293985367,
    0.38275785744190216,
    0.3976072371006012,
    0.354665070772171,
    0.33047249913215637,
    0.3339368849992752,
    0.3328279107809067,
    0.36373764276504517,
    0.43202821910381317,
    0.532310962677002,
    0.5790108889341354,
    0.599868580698967,
    0.5651752054691315,
    0.4572446793317795,
    0.3662436753511429,
    0.31227049231529236,
    0.25614243745803833,
    0.2152990996837616,
    0.22088633477687836,
    0.25671355426311493,
    0.291356697678566,
    0.2910497933626175,
    0.27736538648605347,
    0.2894304245710373,
    0.3238069415092468,
    0.33799462020397186,
    0.3674558401107788,
    0.37244895100593567,
    0.39601458609104156,
    0.40069809556007385,
    0.3859141618013382,
    0.3860168009996414,
    0.38805246353149414,
    0.3675517588853836,
    0.33019791543483734,
    0.31926217675209045,
    0.32052062451839447,
    0.29826948046684265,
    0.2833058387041092,
    0.27770933508872986,
    0.2669373154640198,
    0.2661222666501999,
    0.2565609812736511,
    0.2502649277448654,
    0.2370336353778839,
    0.2654202878475189,
    0.30230872333049774,
    0.36287523806095123,
    0.4072014391422272,
    0.4337601810693741,
    0.4269861727952957,
    0.36736609041690826,
    0.28779858350753784,
    0.17803418636322021,
    0.10121802985668182,
    0.04891511797904968,
    0.06858080625534058,
    0.12258577346801758,
    0.22595761716365814,
    0.331230103969574,
    0.4052371382713318,
    0.4039573520421982,
    0.35965245962142944,
    0.3129423260688782,
    0.286092072725296,
    0.28562019765377045,
    0.2537301778793335,
    0.23054178059101105,
    0.21374017000198364,
    0.23582443594932556,
    0.2637830078601837,
    0.30847182869911194,
    0.35633037984371185,
    0.4199712574481964,
    0.3935672789812088,
    0.3374100923538208,
    0.30964359641075134,
    0.2965075969696045,
    0.26469504833221436,
    0.23470595479011536,
    0.24705290794372559,
    0.2513043135404587,
    0.2804035097360611,
    0.34349946677684784,
    0.40135689079761505,
    0.42253683507442474,
    0.3912231922149658,
    0.36351223289966583,
    0.331812784075737,
    0.29323339462280273,
    0.22358162701129913,
    0.20227749645709991,
    0.2124277800321579,
    0.2752592861652374,
    0.3544864356517792,
    0.41542546451091766,
    0.4134168475866318,
    0.3433335870504379,
    0.31325671076774597,
    0.25201134383678436,
    0.18265073001384735,
    0.1250986009836197,
    0.1533028930425644,
    0.2368587851524353,
    0.3054877817630768,
    0.37036021053791046,
    0.43274950981140137,
    0.5495045036077499,
    0.6463492214679718,
    0.6847447603940964,
    0.6859208643436432,
    0.6678837984800339,
    0.7064577639102936,
    0.6918741166591644,
    0.6173829436302185,
    0.5746090859174728,
    0.528301402926445,
    0.46539831161499023,
    0.4042610377073288,
    0.3419901877641678,
    0.3008657693862915,
    0.28397203981876373,
    0.29384538531303406,
    0.2836728096008301,
    0.28866882622241974,
    0.3427499979734421,
    0.4109196960926056,
    0.4597606360912323,
    0.49995383620262146,
    0.583968311548233,
    0.6411782801151276,
    0.6637299954891205,
    0.5930685997009277,
    0.5187603384256363,
    0.4537500590085983,
    0.41784559190273285,
    0.4003636986017227,
    0.4000973105430603,
    0.38274040818214417,
    0.37586797773838043,
    0.3896023780107498,
    0.3764514774084091,
    0.36268240213394165,
    0.341414675116539,
    0.33991727232933044,
    0.3499991446733475,
    0.38442854583263397,
    0.42025694251060486,
    0.4591544568538666,
    0.5009500235319138,
    0.5055332779884338,
    0.4372994154691696,
    0.38011007010936737,
    0.35865020751953125,
    0.2946135252714157,
    0.25216974318027496,
    0.2562689781188965,
    0.30697040259838104,
    0.31584297120571136,
    0.3259756863117218,
    0.3553452789783478,
    0.35748569667339325,
    0.33507239818573,
    0.29032860696315765,
    0.29269491136074066,
    0.27574382722377777,
    0.2853908985853195,
    0.33471667766571045,
    0.38663558661937714,
    0.42483408749103546,
    0.44014738500118256,
    0.42081472277641296,
    0.3940017372369766,
    0.3243710398674011,
    0.27059099078178406,
    0.23871926963329315,
    0.23294292390346527,
    0.23209206759929657,
    0.2451997995376587,
    0.2908755987882614,
    0.3199823349714279,
    0.34262625873088837,
    0.3534228503704071,
    0.351528599858284,
    0.3450150489807129,
    0.3076108545064926,
    0.23655933141708374,
    0.17609713971614838,
    0.1466781198978424,
    0.1604851633310318,
    0.1786014288663864,
    0.19660550355911255,
    0.21805551648139954,
    0.28224335610866547,
    0.3262992948293686,
    0.39357897639274597,
    0.46144232153892517,
    0.545743390917778,
    0.5484487563371658,
    0.5397472083568573,
    0.546540692448616,
    0.5563046634197235,
    0.5369195193052292,
    0.5059953033924103,
    0.4418492168188095,
    0.3461306542158127,
    0.24292373657226562,
    0.18054930865764618,
    0.15597078204154968,
    0.13508592545986176,
    0.17895415425300598,
    0.22902457416057587,
    0.3121039867401123,
    0.3896646350622177,
    0.4984847158193588,
    0.5581601113080978,
    0.5517074763774872,
    0.5471572279930115,
    0.4974311739206314,
    0.3967434912919998,
    0.32850348949432373,
    0.2840542793273926,
    0.29936373233795166,
    0.32178324460983276,
    0.36058270931243896,
    0.40626564621925354,
    0.44602547585964203,
    0.4790794551372528,
    0.4910515993833542,
    0.49269627034664154,
    0.46646735072135925,
    0.4382943958044052,
    0.40850965678691864,
    0.40652133524417877,
    0.42080868780612946,
    0.4504503458738327,
    0.4492774158716202,
    0.4525612145662308,
    0.407510906457901,
    0.3241325467824936,
    0.2509419769048691,
    0.19937288761138916,
    0.1420406550168991,
    0.11631493270397186,
    0.14259642362594604,
    0.20880810916423798,
    0.3074066936969757,
    0.36842815577983856,
    0.36230726540088654,
    0.31315019726753235,
    0.24299389123916626,
    0.16089096665382385,
    0.1334591507911682,
    0.14397071301937103,
    0.18291153013706207,
    0.2548978477716446,
    0.3493916392326355,
    0.42738066613674164,
    0.4897947311401367,
    0.5589452385902405,
    0.573421910405159,
    0.5091712027788162,
    0.4281664043664932,
    0.3847225308418274,
    0.3591866046190262,
    0.3447239100933075,
    0.33403247594833374,
    0.31158770620822906,
    0.2578710913658142,
    0.20776408910751343,
    0.1796020120382309,
    0.19987156987190247,
    0.23482458293437958,
    0.2783278524875641,
    0.34574994444847107,
    0.4190276116132736,
    0.5015639364719391,
    0.5594157576560974,
    0.5516675859689713,
    0.5004812031984329,
    0.40388019382953644,
    0.316850483417511,
    0.2485085278749466,
    0.17631690204143524,
    0.1395820677280426,
    0.1526336967945099,
    0.18188227713108063,
    0.23071464896202087,
    0.2534811496734619,
    0.28777651488780975,
    0.2644250988960266,
    0.26042380928993225,
    0.26617981493473053,
    0.2956932932138443,
    0.3491656333208084,
    0.3991268575191498,
    0.4405681639909744,
    0.4613363742828369,
    0.41736067831516266,
    0.37218357622623444,
    0.30907972157001495,
    0.24889624118804932,
    0.20847056806087494,
    0.21250231564044952,
    0.23093344271183014,
    0.2513698637485504,
    0.2901361882686615,
    0.3314804881811142,
    0.38628654181957245,
    0.4707386940717697,
    0.5258761942386627,
    0.5495475828647614,
    0.5901017189025879,
    0.5630964189767838,
    0.5459982752799988,
    0.5350746065378189,
    0.5534892976284027,
    0.5473401844501495,
    0.5155941694974899,
    0.4831416755914688,
    0.4320886582136154,
    0.39368368685245514,
    0.3624529242515564,
    0.30354954302310944,
    0.22088751196861267,
    0.16218465566635132,
    0.1566646546125412,
    0.20828254520893097,
    0.2737412303686142,
    0.34486323595046997,
    0.41459669172763824,
    0.4574996680021286,
    0.49487312138080597,
    0.48855775594711304,
    0.48344986140727997,
    0.44994090497493744,
    0.41971583664417267,
    0.3933272361755371,
    0.37747497856616974,
    0.3930522948503494,
    0.40052829682826996,
    0.4405888617038727,
    0.42154087126255035,
    0.41362710297107697,
    0.41412249207496643,
    0.3924870043992996,
    0.3655523210763931,
    0.35115449130535126,
    0.3351929187774658,
    0.3631688058376312,
    0.40783071517944336,
    0.41648535430431366,
    0.4156697541475296,
    0.4032416492700577,
    0.35795485973358154,
    0.2956108897924423,
    0.2969314903020859,
    0.3201047331094742,
    0.3369203060865402,
    0.3554987758398056,
    0.3796091228723526,
    0.42394840717315674,
    0.45813536643981934,
    0.4635694772005081,
    0.4615624397993088,
    0.4427597373723984,
    0.4233763515949249,
    0.43855608999729156,
    0.4336831420660019,
    0.4344019144773483,
    0.4199623465538025,
    0.39289112389087677,
    0.3310462683439255,
    0.24521751701831818,
    0.16876015067100525,
    0.13188877701759338,
    0.10605448484420776,
    0.14186781644821167,
    0.20445474982261658,
    0.29259727895259857,
    0.3744544982910156,
    0.46015290915966034,
    0.5374165177345276,
    0.5462817400693893,
    0.5072264224290848,
    0.44408223032951355,
    0.36374978721141815,
    0.28856606781482697,
    0.22778350114822388,
    0.2055257111787796,
    0.20353148877620697,
    0.2336723655462265,
    0.3062673807144165,
    0.37474675476551056,
    0.42713552713394165,
    0.4959471672773361,
    0.537167951464653,
    0.5669360756874084,
    0.5342837572097778,
    0.5027230381965637,
    0.5280480980873108,
    0.5292742997407913,
    0.49352656304836273,
    0.4491748809814453,
    0.4186016470193863,
    0.34868063032627106,
    0.2704869210720062,
    0.2339819371700287,
    0.23000583052635193,
    0.22974592447280884,
    0.22773492336273193,
    0.2562359869480133,
    0.2945649325847626,
    0.34571145474910736,
    0.35816892981529236,
    0.3282889723777771,
    0.27535948157310486,
    0.24775128066539764,
    0.20960569381713867,
    0.18997907638549805,
    0.17353756725788116,
    0.18564793467521667,
    0.19630968570709229,
    0.22248733043670654,
    0.24959081411361694,
    0.2683948129415512,
    0.3029254972934723,
    0.34119096398353577,
    0.35501886904239655,
    0.3543316572904587,
    0.34682397544384,
    0.34154412150382996,
    0.3492294102907181,
    0.3958166092634201,
    0.4229230284690857,
    0.42797672748565674,
    0.45396627485752106,
    0.5041577517986298,
    0.5178442448377609,
    0.518079936504364,
    0.4711920917034149,
    0.3933236598968506,
    0.29893381893634796,
    0.231007918715477,
    0.20532146096229553,
    0.18459363281726837,
    0.20066514611244202,
    0.24424056708812714,
    0.31531304121017456,
    0.39604800939559937,
    0.5038735121488571,
    0.5355580747127533,
    0.5195164233446121,
    0.4770014137029648,
    0.3873659372329712,
    0.309492364525795,
    0.2712968438863754,
    0.25152944028377533,
    0.25210896134376526,
    0.2652639150619507,
    0.28200480341911316,
    0.28215301036834717,
    0.2807961255311966,
    0.3038894236087799,
    0.30445607006549835,
    0.302165225148201,
    0.3145923316478729,
    0.3316325545310974,
    0.3641688972711563,
    0.41512054204940796,
    0.4749480187892914,
    0.4822046458721161,
    0.4345066696405411,
    0.35589656233787537,
    0.27362966537475586,
    0.20648959279060364,
    0.1625402867794037,
    0.14258569478988647,
    0.16897618770599365,
    0.2176581770181656,
    0.2848602384328842,
    0.3205671012401581,
    0.3396116942167282,
    0.325514018535614,
    0.3465731739997864,
    0.3513714522123337,
    0.33358506858348846,
    0.30271103978157043,
    0.2666456997394562,
    0.24546298384666443,
    0.28055454790592194,
    0.31586703658103943,
    0.3873291462659836,
    0.4534955471754074,
    0.49401798844337463,
    0.527058020234108,
    0.5435126423835754,
    0.4913841336965561,
    0.4015194773674011,
    0.32458724081516266,
    0.244564026594162,
    0.1642698049545288,
    0.0931510180234909,
    0.042985618114471436,
    0.05578990280628204,
    0.10846808552742004,
    0.1717377007007599,
    0.2549428343772888,
    0.367009773850441,
    0.49827340245246887,
    0.5910518914461136,
    0.6204818040132523,
    0.5713376104831696,
    0.4834470748901367,
    0.4238569140434265,
    0.3539453595876694,
    0.28796739876270294,
    0.2474835067987442,
    0.23684324324131012,
    0.24849259853363037,
    0.2927844077348709,
    0.3046274185180664,
    0.32831181585788727,
    0.3364915996789932,
    0.3395804911851883,
    0.3456624895334244,
    0.36307045817375183,
    0.41822105646133423,
    0.4458359181880951,
    0.43101800978183746,
    0.39738747477531433,
    0.33213990926742554,
    0.28410300612449646,
    0.2593740373849869,
    0.22146041691303253,
    0.20891828835010529,
    0.20634479820728302,
    0.2284364253282547,
    0.23118242621421814,
    0.21782740950584412,
    0.23361381888389587,
    0.25070156157016754,
    0.2641157954931259,
    0.2535601556301117,
    0.2813703864812851,
    0.3231746703386307,
    0.3507368862628937,
    0.3541620075702667,
    0.34995363652706146,
    0.33574891090393066,
    0.31686997413635254,
    0.30086950957775116,
    0.2736716568470001,
    0.2575830966234207,
    0.23836396634578705,
    0.23643721640110016,
    0.2522132694721222,
    0.2657688111066818,
    0.28372709453105927,
    0.3033263832330704,
    0.3177060931921005,
    0.3235298693180084,
    0.36289164423942566,
    0.40814438462257385,
    0.4677383303642273,
    0.5003554075956345,
    0.5052533447742462,
    0.4681185334920883,
    0.3874684125185013,
    0.2880692332983017,
    0.17650997638702393,
    0.0874011218547821,
    0.02420555055141449,
    0.032858312129974365,
    0.11279593408107758,
    0.2444153130054474,
    0.3857283592224121,
    0.5485771149396896,
    0.656844973564148,
    0.6576715707778931,
    0.6157147735357285,
    0.524632140994072,
    0.40898577868938446,
    0.29823222756385803,
    0.21613596379756927,
    0.17261682450771332,
    0.1882791370153427,
    0.22981351613998413,
    0.2831009030342102,
    0.35230113565921783,
    0.412668913602829,
    0.44917668402194977,
    0.44258013367652893,
    0.43048134446144104,
    0.4159487187862396,
    0.4302467703819275,
    0.4533335864543915,
    0.5366126298904419,
    0.5987273156642914,
    0.6210937798023224,
    0.5657947510480881,
    0.5033157765865326,
    0.4411535859107971,
    0.41276688873767853,
    0.4058041423559189,
    0.37800125777721405,
    0.3510737270116806,
    0.3711339831352234,
    0.3826475590467453,
    0.3717753142118454,
    0.36471328139305115,
    0.3590759187936783,
    0.3497045934200287,
    0.33566270768642426,
    0.30860036611557007,
    0.27151112258434296,
    0.24493254721164703,
    0.24761705100536346,
    0.24580958485603333,
    0.26992906630039215,
    0.3143959641456604,
    0.39622771739959717,
    0.4865507483482361,
    0.5431274026632309,
    0.5402367115020752,
    0.508247584104538,
    0.5030945986509323,
    0.4672814905643463,
    0.42343658208847046,
    0.4384813606739044,
    0.44000060856342316,
    0.4067559242248535,
    0.35243967175483704,
    0.32909445464611053,
    0.33174940943717957,
    0.3575090914964676,
    0.395886093378067,
    0.4604308158159256,
    0.5315067172050476,
    0.6090532094240189,
    0.6377025991678238,
    0.6011228412389755,
    0.5386742353439331,
    0.47077588737010956,
    0.4093191772699356,
    0.35348494350910187,
    0.319550558924675,
    0.28112493455410004,
    0.27552786469459534,
    0.2835279703140259,
    0.2996724545955658,
    0.32428333163261414,
    0.3414488732814789,
    0.35990019142627716,
    0.378711000084877,
    0.42464102804660797,
    0.4798273295164108,
    0.542076826095581,
    0.5983156710863113,
    0.6274600476026535,
    0.6278385370969772,
    0.5447817593812943,
    0.44755126535892487,
    0.3537166863679886,
    0.2594063878059387,
    0.22972603142261505,
    0.23571424186229706,
    0.2716386914253235,
    0.3101205676794052,
    0.3827480524778366,
    0.4488954544067383,
    0.48866158723831177,
    0.4883086830377579,
    0.4471159428358078,
    0.4340614825487137,
    0.4208572208881378,
    0.4081614166498184,
    0.4159563183784485,
    0.4029768258333206,
    0.39795660972595215,
    0.3903617262840271,
    0.373525470495224,
    0.3247115910053253,
    0.2342454046010971,
    0.16647903621196747,
    0.13234759867191315,
    0.14363528788089752,
    0.20448501408100128,
    0.3200719654560089,
    0.46012626588344574,
    0.5645262449979782,
    0.6612482070922852,
    0.6460185497999191,
    0.6041703224182129,
    0.5388509035110474,
    0.4371194839477539,
    0.3453206866979599,
    0.27436596155166626,
    0.2064550668001175,
    0.11363713443279266,
    0.045467257499694824,
    0.015201136469841003,
    0.05156460404396057,
    0.12998856604099274,
    0.25936339795589447,
    0.36390992999076843,
    0.46372056007385254,
    0.5090607702732086,
    0.5159056484699249,
    0.4717358350753784,
    0.4047277271747589,
    0.3049152344465256,
    0.26706354320049286,
    0.26972363889217377,
    0.30463820695877075,
    0.362653911113739,
    0.42974868416786194,
    0.4747682958841324,
    0.4621197134256363,
    0.40258602797985077,
    0.3704085201025009,
    0.3313117027282715,
    0.3097522258758545,
    0.3365706354379654,
    0.3767452836036682,
    0.43435294926166534,
    0.48409388959407806,
    0.5212567448616028,
    0.5442016124725342,
    0.5380786657333374,
    0.5086273699998856,
    0.439553439617157,
    0.36919376254081726,
    0.31039121747016907,
    0.2859345078468323,
    0.2716319113969803,
    0.23486176133155823,
    0.2169690877199173,
    0.23730161786079407,
    0.31634801626205444,
    0.3545070290565491,
    0.39114609360694885,
    0.3800516873598099,
    0.32108454406261444,
    0.28320102393627167,
    0.2783724367618561,
    0.286798894405365,
    0.2762121260166168,
    0.26734641194343567,
    0.29830704629421234,
    0.33953991532325745,
    0.3474903553724289,
    0.3523598313331604,
    0.3612961173057556,
    0.3785039186477661,
    0.3675333112478256,
    0.37601079046726227,
    0.3522619903087616,
    0.3257312923669815,
    0.3250964730978012,
    0.345612570643425,
    0.3636348396539688,
    0.3635540306568146,
    0.3498683422803879,
    0.32860933244228363,
    0.31068138778209686,
    0.293236643075943,
    0.28439658880233765,
    0.2956138849258423,
    0.29952213168144226,
    0.29373472929000854,
    0.28433021903038025,
    0.28582409024238586,
    0.3215477615594864,
    0.3259478956460953,
    0.3241111934185028,
    0.3414490967988968,
    0.34253035485744476,
    0.3365778774023056,
    0.2844078242778778,
    0.2547491192817688,
    0.23425018787384033,
    0.2618778198957443,
    0.2920091152191162,
    0.30510313808918,
    0.28737832605838776,
    0.24540261924266815,
    0.20482374727725983,
    0.16911454498767853,
    0.17212405800819397,
    0.226152703166008,
    0.2949676960706711,
    0.3404552787542343,
    0.3516259640455246,
    0.34386007487773895,
    0.3076190799474716,
    0.3020839989185333,
    0.2828368693590164,
    0.2542860209941864,
    0.2510101944208145,
    0.26326413452625275,
    0.2904646098613739,
    0.32923460006713867,
    0.3734668642282486,
    0.39889298379421234,
    0.39518460631370544,
    0.3597606420516968,
    0.32030101120471954,
    0.29526112973690033,
    0.2698666751384735,
    0.25369973480701447,
    0.2807036191225052,
    0.2812768220901489,
    0.28824712336063385,
    0.29404670000076294,
    0.3108953833580017,
    0.34025897085666656,
    0.3307068943977356,
    0.306511327624321,
    0.29814137518405914,
    0.2890630513429642,
    0.24979789555072784,
    0.19771704077720642,
    0.18886291980743408,
    0.19532082974910736,
    0.23486000299453735,
    0.2948329597711563,
    0.356485515832901,
    0.4167628735303879,
    0.47357872128486633,
    0.489695280790329,
    0.511844664812088,
    0.5439828187227249,
    0.5876601040363312,
    0.543127179145813,
    0.521235853433609,
    0.4740805923938751,
    0.3944496065378189,
    0.3042949140071869,
    0.2235003411769867,
    0.15212272107601166,
    0.08923971652984619,
    0.10757988691329956,
    0.18209798634052277,
    0.2694127708673477,
    0.38472574949264526,
    0.5057064294815063,
    0.5982124507427216,
    0.6023205518722534,
    0.585568442940712,
    0.5249634683132172,
    0.4330212026834488,
    0.3507770448923111,
    0.27144256234169006,
    0.225946843624115,
    0.2103661596775055,
    0.21072006225585938,
    0.22851082682609558,
    0.27900950610637665,
    0.34060752391815186,
    0.3539170175790787,
    0.37043121457099915,
    0.3889307379722595,
    0.4108353853225708,
    0.4395667314529419,
    0.4813634604215622,
    0.4954580217599869,
    0.48375627398490906,
    0.4437246322631836,
    0.3733833432197571,
    0.3024615943431854,
    0.2271067202091217,
    0.2030871957540512,
    0.16735810041427612,
    0.1608782857656479,
    0.19920633733272552,
    0.26812341809272766,
    0.31581635773181915,
    0.3323882073163986,
    0.3249967396259308,
    0.316508486866951,
    0.2951778918504715,
    0.27023403346538544,
    0.24672521650791168,
    0.24341508746147156,
    0.2556542009115219,
    0.29715795814991,
    0.35714544355869293,
    0.4413674473762512,
    0.5236952900886536,
    0.5634075403213501,
    0.5461651086807251,
    0.5121087431907654,
    0.5125245302915573,
    0.4849495589733124,
    0.4301106631755829,
    0.361130490899086,
    0.32663047313690186,
    0.2736629992723465,
    0.22998246550559998,
    0.2265663743019104,
    0.260707750916481,
    0.30536048114299774,
    0.34791453182697296,
    0.41238440573215485,
    0.4757011979818344,
    0.55031518638134,
    0.5705434381961823,
    0.5184075236320496,
    0.445864275097847,
    0.35695895552635193,
    0.2971034348011017,
    0.24218405783176422,
    0.21848846971988678,
    0.22097231447696686,
    0.2587084323167801,
    0.3094577044248581,
    0.349100798368454,
    0.33126044273376465,
    0.3208923488855362,
    0.30618391931056976,
    0.31574755907058716,
    0.33975426852703094,
    0.39139528572559357,
    0.45495404303073883,
    0.4972628653049469,
    0.5120792239904404,
    0.5138921737670898,
    0.46362490952014923,
    0.42122451961040497,
    0.3952556401491165,
    0.36382071673870087,
    0.340043306350708,
    0.36451463401317596,
    0.38344261050224304,
    0.40448692440986633,
    0.3807613402605057,
    0.3978831619024277,
    0.39294350147247314
  ],
  "sheet": [
    0.1089436411857605,
    0.08222472667694092,
    0.06870943307876587,
    0.055845439434051514,
    0.04139918088912964,
    0.06633466482162476,
    0.097328782081604,
    0.15646278858184814,
    0.18194344639778137,
    0.18257498741149902,
    0.18750083446502686,
    0.18387269973754883,
    0.1681673228740692,
    0.16892358660697937,
    0.1962585151195526,
    0.22101372480392456,
    0.22961440682411194,
    0.21012789011001587,
    0.185732901096344,
    0.16075223684310913,
    0.14469587802886963,
    0.19568094611167908,
    0.24128663539886475,
    0.2627687454223633,
    0.2494937628507614,
    0.20532535016536713,
    0.1694343388080597,
    0.10622480511665344,
    0.03787575662136078,
    -0.0584939569234848,
    -0.06325589120388031,
    -0.043137967586517334,
    0.038070738315582275,
    0.10484620928764343,
    0.14795531332492828,
    0.20348259806632996,
    0.22782695293426514,
    0.23706045746803284,
    0.25097672641277313,
    0.26590195298194885,
    0.28671330213546753,
    0.3366391062736511,
    0.40545977652072906,
    0.4684005081653595,
    0.5064512491226196,
    0.5808717012405396,
    0.6536289006471634,
    0.6309274435043335,
    0.5597010999917984,
    0.4764556437730789,
    0.40521782636642456,
    0.3811664581298828,
    0.3589060604572296,
    0.36190804839134216,
    0.3527684807777405,
    0.34737449884414673,
    0.3106183707714081,
    0.3057430684566498,
    0.29446104168891907,
    0.3155832886695862,
    0.36124658584594727,
    0.4616266191005707,
    0.5851739048957825,
    0.6646726578474045,
    0.7159056812524796,
    0.6572479158639908,
    0.572228342294693,
    0.43436887860298157,
    0.32710660994052887,
    0.21371500194072723,
    0.1706080436706543,
    0.22890295088291168,
    0.23671013116836548,
    0.27649515867233276,
    0.2954491972923279,
    0.3091432601213455,
    0.3210633248090744,
    0.36455094814300537,
    0.35820017755031586,
    0.29805561900138855,
    0.23291316628456116,
    0.15878787636756897,
    0.16575424373149872,
    0.14998431503772736,
    0.16705118119716644,
    0.17769750952720642,
    0.1877019852399826,
    0.18130481243133545,
    0.1574433147907257,
    0.24433130025863647,
    0.31285783648490906,
    0.4003116190433502,
    0.47360001504421234,
    0.5501928329467773,
    0.6006148159503937,
    0.6162178665399551,
    0.575271412730217,
    0.4638095498085022,
    0.33762815594673157,
    0.2399977594614029,
    0.21973320841789246,
    0.30205586552619934,
    0.4399614483118057,
    0.5556571185588837,
    0.632192000746727,
    0.6727908849716187,
    0.6708710044622421,
    0.6554060131311417,
    0.6050813496112823,
    0.5260159969329834,
    0.40433061122894287,
    0.30612772703170776,
    0.18114058673381805,
    0.09038491547107697,
    0.09214437007904053,
    0.1342979222536087,
    0.19762948155403137,
    0.23880915343761444,
    0.29314418137073517,
    0.3412550240755081,
    0.41478651762008667,
    0.4927869588136673,
    0.4955907315015793,
    0.5155980139970779,
    0.5408386290073395,
    0.5815427303314209,
    0.5625889152288437,
    0.48969078063964844,
    0.39013198018074036,
    0.2939886599779129,
    0.20978908240795135,
    0.21044321358203888,
    0.2343163788318634,
    0.24333152174949646,
    0.31861254572868347,
    0.3685554414987564,
    0.44874733686447144,
    0.4875113368034363,
    0.44821879267692566,
    0.3807537108659744,
    0.30449287593364716,
    0.2507093995809555,
    0.18864603340625763,
    0.23157206177711487,
    0.3233758509159088,
    0.4133548438549042,
    0.42670974135398865,
    0.38388393819332123,
    0.3034180551767349,
    0.20098726451396942,
    0.16406911611557007,
    0.11910766363143921,
    0.1276463270187378,
    0.19145244359970093,
    0.26980040967464447,
    0.3194596916437149,
    0.3376380503177643,
    0.3677918612957001,
    0.34602995216846466,
    0.3242838978767395,
    0.27243247628211975,
    0.25844699144363403,
    0.243191197514534,
    0.2208077758550644,
    0.1672365814447403,
    0.09828926622867584,
    0.09360150992870331,
    0.11368012428283691,
    0.10482840240001678,
    0.08594074845314026,
    0.1273433417081833,
    0.2165890336036682,
    0.3137013912200928,
    0.44014957547187805,
    0.5339400321245193,
    0.600303128361702,
    0.5970834344625473,
    0.5908092707395554,
    0.5428418070077896,
    0.4992653429508209,
    0.451560914516449,
    0.44138357043266296,
    0.4320799857378006,
    0.4190443903207779,
    0.38299596309661865,
    0.3297313004732132,
    0.2976813167333603,
    0.27608025074005127,
    0.2861708104610443,
    0.3593926727771759,
    0.43955378234386444,
    0.5733055919408798,
    0.6525180041790009,
    0.7051568776369095,
    0.6679851710796356,
    0.5993562340736389,
    0.4931339621543884,
    0.4087028056383133,
    0.3442809283733368,
    0.2840118557214737,
    0.24198970198631287,
    0.1838858723640442,
    0.21914803981781006,
    0.2529959976673126,
    0.31645844876766205,
    0.38958217203617096,
    0.4110753536224365,
    0.3642343431711197,
    0.2697373926639557,
    0.19162502884864807,
    0.12737348675727844,
    0.07593567669391632,
    0.07071694731712341,
    0.0763009637594223,
    0.07999157905578613,
    0.09258748590946198,
    0.12377385795116425,
    0.13320930302143097,
    0.16057905554771423,
    0.215355783700943,
    0.26366186141967773,
    0.33563870191574097,
    0.4094039797782898,
    0.42034170031547546,
    0.3590247929096222,
    0.2593328356742859,
    0.12338504195213318,
    -0.025027945637702942,
    -0.08601893484592438,
    -0.06583502888679504,
    0.06428742408752441,
    0.21204684674739838,
    0.3224373161792755,
    0.41894471645355225,
    0.47476279735565186,
    0.47215689718723297,
    0.4272380769252777,
    0.3748958706855774,
    0.31046241521835327,
    0.24511969089508057,
    0.13514728844165802,
    0.05160254240036011,
    0.025752544403076172,
    0.0550297349691391,
    0.138406902551651,
    0.17706577479839325,
    0.22969776391983032,
    0.30231973528862,
    0.37696151435375214,
    0.4617196172475815,
    0.4823732376098633,
    0.5089952647686005,
    0.5467787981033325,
    0.5423295646905899,
    0.5392399430274963,
    0.44286927580833435,
    0.35560938715934753,
    0.26882900297641754,
    0.1847734898328781,
    0.14597593247890472,
    0.15045392513275146,
    0.20820540189743042,
    0.273311510682106,
    0.289856418967247,
    0.30183035135269165,
    0.31314364075660706,
    0.3089047968387604,
    0.2972654551267624,
    0.27367375791072845,
    0.2517566382884979,
    0.33117105066776276,
    0.40572068095207214,
    0.43683987855911255,
    0.3805593401193619,
    0.3002431243658066,
    0.16768448054790497,
    0.06858561933040619,
    -0.026462063193321228,
    -0.0020092129707336426,
    0.09131291508674622,
    0.20021440088748932,
    0.3450380563735962,
    0.4379332810640335,
    0.49380359053611755,
    0.5364482551813126,
    0.5256134867668152,
    0.45270732045173645,
    0.3662545084953308,
    0.3083457052707672,
    0.2372429221868515,
    0.21273872256278992,
    0.24774010479450226,
    0.2956307381391525,
    0.37579013407230377,
    0.4775242805480957,
    0.5718307644128799,
    0.6640985906124115,
    0.7320263385772705,
    0.7843291759490967,
    0.8337841629981995,
    0.7956454157829285,
    0.7125976383686066,
    0.6104732751846313,
    0.5199696272611618,
    0.4628146141767502,
    0.39539478719234467,
    0.3833719789981842,
    0.36770160496234894,
    0.3431133031845093,
    0.3186267763376236,
    0.34569695591926575,
    0.3790806829929352,
    0.42706452310085297,
    0.48912015557289124,
    0.5583132803440094,
    0.6310099959373474,
    0.7305741459131241,
    0.740688756108284,
    0.6776826679706573,
    0.562230110168457,
    0.4589582830667496,
    0.3758370131254196,
    0.2689530551433563,
    0.2206880897283554,
    0.21307629346847534,
    0.1687774360179901,
    0.17122429609298706,
    0.21949127316474915,
    0.293251171708107,
    0.40784092247486115,
    0.5165400803089142,
    0.5991293042898178,
    0.590210884809494,
    0.5383070409297943,
    0.4622125029563904,
    0.45898012816905975,
    0.44034671783447266,
    0.4121606796979904,
    0.3836934566497803,
    0.3029821217060089,
    0.2787742167711258,
    0.2867511808872223,
    0.3154846131801605,
    0.37594279646873474,
    0.4095371514558792,
    0.4290842264890671,
    0.4512444734573364,
    0.46935077011585236,
    0.4710039794445038,
    0.4836108833551407,
    0.4402085393667221,
    0.42630860209465027,
    0.4001997113227844,
    0.36801977455616,
    0.3440009653568268,
    0.3140534460544586,
    0.30307328701019287,
    0.3041122257709503,
    0.3571557104587555,
    0.4410310536623001,
    0.4806113541126251,
    0.49559178948402405,
    0.47031553089618683,
    0.4522320032119751,
    0.4243980199098587,
    0.4338129758834839,
    0.45911645889282227,
    0.4744873195886612,
    0.4985259771347046,
    0.4754582345485687,
    0.4196615070104599,
    0.39609378576278687,
    0.40448319911956787,
    0.44504447281360626,
    0.50745789706707,
    0.559984564781189,
    0.6014450788497925,
    0.6507595628499985,
    0.6756644994020462,
    0.703202873468399,
    0.6942068785429001,
    0.6774196773767471,
    0.6371805220842361,
    0.5474589318037033,
    0.41361646354198456,
    0.35806429386138916,
    0.3624960780143738,
    0.37163394689559937,
    0.3820181339979172,
    0.42239563167095184,
    0.45211678743362427,
    0.4325929135084152,
    0.4055899530649185,
    0.3295150548219681,
    0.25473660230636597,
    0.22595904767513275,
    0.218031644821167,
    0.17754347622394562,
    0.138961523771286,
    0.13534727692604065,
    0.12093274295330048,
    0.10058923065662384,
    0.08380095660686493,
    0.1178419291973114,
    0.18418677151203156,
    0.2587411254644394,
    0.30212411284446716,
    0.35172587633132935,
    0.35725781321525574,
    0.35980768501758575,
    0.32635657489299774,
    0.2798760086297989,
    0.2848067879676819,
    0.31999582052230835,
    0.34196795523166656,
    0.3198046535253525,
    0.28112660348415375,
    0.24091054499149323,
    0.2112969309091568,
    0.2160927653312683,
    0.24100303649902344,
    0.2500460743904114,
    0.2615242898464203,
    0.2708505392074585,
    0.2620003670454025,
    0.2687236964702606,
    0.2791701555252075,
    0.357942670583725,
    0.45118896663188934,
    0.5064046382904053,
    0.5244825929403305,
    0.5061945468187332,
    0.4400002956390381,
    0.348157674074173,
    0.2926245629787445,
    0.2215195596218109,
    0.17261330783367157,
    0.13204003870487213,
    0.06907612085342407,
    0.07303626835346222,
    0.06260666251182556,
    0.1373387575149536,
    0.24684692919254303,
    0.3607628345489502,
    0.465765118598938,
    0.5890560746192932,
    0.6497140824794769,
    0.6369485706090927,
    0.5563373118638992,
    0.44748474657535553,
    0.31041419506073,
    0.16327781975269318,
    0.13596029579639435,
    0.1834307760000229,
    0.23301753401756287,
    0.3058467507362366,
    0.36099889874458313,
    0.4318634271621704,
    0.4889738857746124,
    0.4611522853374481,
    0.36768002808094025,
    0.24009880423545837,
    0.12469914555549622,
    0.05471928417682648,
    0.04144395887851715,
    0.1308823972940445,
    0.2531503289937973,
    0.36301106214523315,
    0.38525404036045074,
    0.373288169503212,
    0.3787633031606674,
    0.41818967461586,
    0.44201311469078064,
    0.4398380368947983,
    0.42757970094680786,
    0.4386727809906006,
    0.4099777489900589,
    0.40794315934181213,
    0.40356123447418213,
    0.30461007356643677,
    0.1700473576784134,
    0.054468631744384766,
    0.04158869385719299,
    0.11235438287258148,
    0.21321509778499603,
    0.3224586099386215,
    0.45367415249347687,
    0.5399013459682465,
    0.5653914958238602,
    0.5704353153705597,
    0.519955039024353,
    0.45734803378582,
    0.3698520064353943,
    0.23873133957386017,
    0.15621240437030792,
    0.05358600616455078,
    -0.0025141537189483643,
    -0.0028703510761260986,
    0.0009055286645889282,
    0.03639988601207733,
    0.14505484700202942,
    0.2377663552761078,
    0.3217485398054123,
    0.3430068790912628,
    0.3658047020435333,
    0.33096960186958313,
    0.29966960847377777,
    0.27600744366645813,
    0.26762720942497253,
    0.23352262377738953,
    0.24379082024097443,
    0.21947075426578522,
    0.19622282683849335,
    0.16608725488185883,
    0.16420266032218933,
    0.16132688522338867,
    0.16671240329742432,
    0.19222621619701385,
    0.22346945106983185,
    0.23019380867481232,
    0.29119691252708435,
    0.3149910122156143,
    0.31311851739883423,
    0.3366452306509018,
    0.3556337356567383,
    0.32346391677856445,
    0.20468363165855408,
    0.11000530421733856,
    0.011094838380813599,
    -0.04919353127479553,
    -0.0747876763343811,
    -0.04811224341392517,
    0.042088255286216736,
    0.2061510682106018,
    0.3416729271411896,
    0.44381608068943024,
    0.43616852164268494,
    0.3801424503326416,
    0.28991708159446716,
    0.18710428476333618,
    0.11717413365840912,
    0.09965789318084717,
    0.1684461385011673,
    0.23720286786556244,
    0.3069624751806259,
    0.34713540971279144,
    0.39962269365787506,
    0.4412309229373932,
    0.410381019115448,
    0.3740375488996506,
    0.3238549679517746,
    0.2974514067173004,
    0.3006902039051056,
    0.3542664349079132,
    0.4196121245622635,
    0.5404564440250397,
    0.6411189287900925,
    0.6752343028783798,
    0.6556664556264877,
    0.6113854050636292,
    0.5486050546169281,
    0.45035916566848755,
    0.3732345253229141,
    0.3077763617038727,
    0.2876701354980469,
    0.25353674590587616,
    0.21139028668403625,
    0.18321280181407928,
    0.1746249943971634,
    0.19995348155498505,
    0.29911257326602936,
    0.3994336724281311,
    0.5204590559005737,
    0.6328916549682617,
    0.6902112811803818,
    0.6846289783716202,
    0.6047866344451904,
    0.4899711608886719,
    0.40581388771533966,
    0.32750046253204346,
    0.29562242329120636,
    0.2802562564611435,
    0.24455565214157104,
    0.24263805150985718,
    0.30814504623413086,
    0.40008410811424255,
    0.5094954967498779,
    0.5713331997394562,
    0.5375426560640335,
    0.4665384590625763,
    0.38087567687034607,
    0.3014419972896576,
    0.22079427540302277,
    0.15962715446949005,
    0.16862545907497406,
    0.22846749424934387,
    0.3105245530605316,
    0.34972555935382843,
    0.357558012008667,
    0.3106387257575989,
    0.2491593062877655,
    0.1797933280467987,
    0.11915571987628937,
    0.11347422003746033,
    0.15014824271202087,
    0.23557263612747192,
    0.3204648494720459,
    0.39492568373680115,
    0.42557699978351593,
    0.4265134334564209,
    0.39519867300987244,
    0.35815414786338806,
    0.3115755170583725,
    0.25752173364162445,
    0.265995129942894,
    0.3068351596593857,
    0.373551145195961,
    0.4732597768306732,
    0.5746656060218811,
    0.6099018454551697,
    0.6366401612758636,
    0.5754330158233643,
    0.4911048114299774,
    0.3692223131656647,
    0.23346559703350067,
    0.13797427713871002,
    0.0912787914276123,
    0.08709213137626648,
    0.11324471235275269,
    0.1763269603252411,
    0.23472638428211212,
    0.3466455340385437,
    0.4419352263212204,
    0.5174300223588943,
    0.5471740067005157,
    0.541293740272522,
    0.5357135683298111,
    0.5187507718801498,
    0.495676651597023,
    0.4518648535013199,
    0.36878813803195953,
    0.257064625620842,
    0.18712015450000763,
    0.20239277184009552,
    0.2250034660100937,
    0.19040042161941528,
    0.14303922653198242,
    0.10084104537963867,
    0.12290051579475403,
    0.17918214201927185,
    0.23736204206943512,
    0.2986381947994232,
    0.3574938625097275,
    0.3857308626174927,
    0.4034159630537033,
    0.39179444313049316,
    0.40449509024620056,
    0.381294846534729,
    0.2991444021463394,
    0.19419549405574799,
    0.11362746357917786,
    0.0193759948015213,
    -0.07294611632823944,
    -0.11426123976707458,
    -0.05649808049201965,
    0.03892514109611511,
    0.21946437656879425,
    0.3652883917093277,
    0.4499995708465576,
    0.4681091159582138,
    0.47591447830200195,
    0.43202610313892365,
    0.3299648314714432,
    0.1891975998878479,
    0.06800961494445801,
    -0.0012194663286209106,
    -0.0029420703649520874,
    0.021614640951156616,
    0.09102286398410797,
    0.14427541196346283,
    0.18432143330574036,
    0.18956774473190308,
    0.22053149342536926,
    0.27660641074180603,
    0.3504781424999237,
    0.3811287581920624,
    0.43382418155670166,
    0.43896380066871643,
    0.46757589280605316,
    0.40015193819999695,
    0.358608141541481,
    0.2899696081876755,
    0.27798235416412354,
    0.2899053394794464,
    0.26221907138824463,
    0.26520322263240814,
    0.28547756373882294,
    0.2720104455947876,
    0.23080168664455414,
    0.2158089131116867,
    0.23348034918308258,
    0.29457607865333557,
    0.39146143198013306,
    0.47221776843070984,
    0.5663350969552994,
    0.5953788459300995,
    0.547853484749794,
    0.44947943091392517,
    0.3215186595916748,
    0.19350425899028778,
    0.12186376750469208,
    0.0928906500339508,
    0.10615763068199158,
    0.16568535566329956,
    0.2799321115016937,
    0.3855072557926178,
    0.5038042515516281,
    0.603525921702385,
    0.6651585698127747,
    0.6743382662534714,
    0.5889004915952682,
    0.4842183291912079,
    0.3118002414703369,
    0.17671974003314972,
    0.10175926983356476,
    0.1102161854505539,
    0.17021745443344116,
    0.2463293820619583,
    0.34210383892059326,
    0.3732987344264984,
    0.3782510459423065,
    0.3357667326927185,
    0.33174723386764526,
    0.3446600139141083,
    0.3611386865377426,
    0.3432331085205078,
    0.32429876923561096,
    0.3197312206029892,
    0.3521537780761719,
    0.3675953894853592,
    0.3647872656583786,
    0.36970987915992737,
    0.3768917918205261,
    0.34456075727939606,
    0.2824152857065201,
    0.2621275782585144,
    0.2989823669195175,
    0.31402142345905304,
    0.380571573972702,
    0.47757986187934875,
    0.5483362674713135,
    0.597888857126236,
    0.6105453670024872,
    0.5420063734054565,
    0.42713938653469086,
    0.3297143876552582,
    0.23085911571979523,
    0.16075630486011505,
    0.15043145418167114,
    0.1610448658466339,
    0.20299476385116577,
    0.2571306824684143,
    0.29798105359077454,
    0.34011194109916687,
    0.35693857073783875,
    0.3607163727283478,
    0.3623153120279312,
    0.3790797144174576,
    0.3975060284137726,
    0.41315461695194244,
    0.4698477238416672,
    0.48971982300281525,
    0.4971781224012375,
    0.4673721492290497,
    0.36737628281116486,
    0.22620727121829987,
    0.16549313068389893,
    0.19727173447608948,
    0.21236920356750488,
    0.29074154794216156,
    0.349033385515213,
    0.4066711962223053,
    0.41182735562324524,
    0.36824363470077515,
    0.3094816356897354,
    0.23285944759845734,
    0.27438072860240936,
    0.29660704731941223,
    0.30620715022087097,
    0.2546161711215973,
    0.19700516760349274,
    0.13029326498508453,
    0.08670113980770111,
    0.03802876174449921,
    0.08449442684650421,
    0.15497849881649017,
    0.26579947769641876,
    0.3803595155477524,
    0.4556829184293747,
    0.47109663486480713,
    0.47638097405433655,
    0.43089859187602997,
    0.34839683771133423,
    0.28494733572006226,
    0.27712282538414,
    0.3346898704767227,
    0.36732228100299835,
    0.39223022758960724,
    0.41455377638339996,
    0.4086902290582657,
    0.4158070683479309,
    0.4091763198375702,
    0.4235847592353821,
    0.4558349698781967,
    0.4716213792562485,
    0.4779237359762192,
    0.5328453183174133,
    0.5793556272983551,
    0.622355654835701,
    0.6290817558765411,
    0.6062275469303131,
    0.5311246961355209,
    0.4568747282028198,
    0.3871467709541321,
    0.3385002911090851,
    0.3015805333852768,
    0.30441243946552277,
    0.30274224281311035,
    0.3466857820749283,
    0.36333252489566803,
    0.43673983216285706,
    0.5126333087682724,
    0.5531421154737473,
    0.5767229497432709,
    0.5712558031082153,
    0.5471067279577255,
    0.5052374005317688,
    0.4485594630241394,
    0.3514273762702942,
    0.26330970227718353,
    0.19407469034194946,
    0.1797109991312027,
    0.23114527761936188,
    0.28571468591690063,
    0.4200418293476105,
    0.5323887169361115,
    0.6118889003992081,
    0.6231558918952942,
    0.5679616034030914,
    0.46973468363285065,
    0.33347490429878235,
    0.2417493760585785,
    0.18858696520328522,
    0.20692990720272064,
    0.25739987194538116,
    0.3221864253282547,
    0.342390239238739,
    0.3221520781517029,
    0.27131329476833344,
    0.21771596372127533,
    0.17133548855781555,
    0.1476823389530182,
    0.15159019827842712,
    0.1841384470462799,
    0.2525646388530731,
    0.3183322846889496,
    0.33911341428756714,
    0.33482322096824646,
    0.2437652200460434,
    0.20301830768585205,
    0.1912018060684204,
    0.2407132387161255,
    0.3001248389482498,
    0.39391930401325226,
    0.4891746789216995,
    0.5447488576173782,
    0.5752831995487213,
    0.5511556714773178,
    0.5020129978656769,
    0.4320967197418213,
    0.397931769490242,
    0.33529703319072723,
    0.2776785343885422,
    0.2829846441745758,
    0.26220372319221497,
    0.323777973651886,
    0.39397212862968445,
    0.46311281621456146,
    0.43938273191452026,
    0.4388466477394104,
    0.4652831703424454,
    0.48642678558826447,
    0.4903481602668762,
    0.4726620465517044,
    0.4327250123023987,
    0.42971161007881165,
    0.42206932604312897,
    0.4219314754009247,
    0.43082496523857117,
    0.4895237386226654,
    0.5089424103498459,
    0.5383087694644928,
    0.5459465384483337,
    0.5091710686683655,
    0.438058078289032,
    0.3720465898513794,
    0.29891958832740784,
    0.2441120445728302,
    0.18432873487472534,
    0.12924376130104065,
    0.06553976237773895,
    0.03764735162258148,
    0.02711351215839386,
    0.023147612810134888,
    0.023747727274894714,
    0.036704838275909424,
    0.019189178943634033,
    -0.006155714392662048,
    -0.03905077278614044,
    -0.04512229561805725,
    -0.027381256222724915,
    -0.008771806955337524,
    0.035481274127960205,
    0.09478668868541718,
    0.14920617640018463,
    0.1681336611509323,
    0.1639411747455597,
    0.10105009377002716,
    0.03793153166770935,
    0.015410661697387695,
    0.03224945068359375,
    0.026659265160560608,
    0.03795206546783447,
    0.05057653784751892,
    0.055721819400787354,
    0.03646261990070343,
    0.02735234797000885,
    0.034050583839416504,
    0.05059099197387695,
    0.07216700911521912,
    0.07395964860916138,
    0.07190501689910889,
    0.07170671224594116,
    0.08833849430084229,
    0.08780798316001892,
    0.07528020441532135,
    0.05418135225772858,
    0.04591771960258484,
    -0.0006359517574310303,
    -0.0350055992603302,
    -0.03699249029159546,
    -0.02116885781288147,
    -0.0007556825876235962,
    0.025721490383148193,
    0.06474068760871887,
    0.03658019006252289,
    0.0224057137966156,
    -0.0005718767642974854,
    -0.014857068657875061,
    -0.029044613242149353,
    -0.015303850173950195,
    -0.014799743890762329,
    -0.02724093198776245,
    -0.05672696232795715,
    -0.06148307025432587,
    -0.06066054105758667,
    -0.03159308433532715,
    0.014468684792518616,
    0.028495371341705322,
    0.05018016695976257,
    0.039722830057144165,
    0.03120642900466919,
    0.02506321668624878,
    0.041436970233917236,
    0.04809415340423584,
    0.07021662592887878,
    0.049931615591049194,
    0.041517049074172974,
    0.02758266031742096,
    0.022376254200935364,
    0.015841171145439148,
    0.04375053942203522,
    0.10964992642402649,
    0.2408677041530609,
    0.3517160564661026,
    0.4023670107126236,
    0.3880801945924759,
    0.314503937959671,
    0.2355511486530304,
    0.20464739203453064,
    0.13899517059326172,
    0.11390236020088196,
    0.13337084650993347,
    0.1490621566772461,
    0.16693022847175598,
    0.2523130774497986,
    0.28922441601753235,
    0.26718294620513916,
    0.20329922437667847,
    0.1547621190547943,
    0.10912320017814636,
    0.04861786961555481,
    0.02603955566883087,
    0.07569053769111633,
    0.16186416149139404,
    0.31629474461078644,
    0.46500876545906067,
    0.5818120986223221,
    0.6634861081838608,
    0.6530980467796326,
    0.5865431576967239,
    0.46790194511413574,
    0.31692418456077576,
    0.17161738872528076,
    0.10004642605781555,
    0.0807114988565445,
    0.11313417553901672,
    0.11914466321468353,
    0.11493565142154694,
    0.16032132506370544,
    0.24250061810016632,
    0.31125758588314056,
    0.4125305712223053,
    0.49956002831459045,
    0.5889179408550262,
    0.6465946137905121,
    0.6789685636758804,
    0.6862414181232452,
    0.6211997270584106,
    0.5462776273488998,
    0.4847347289323807,
    0.4530045688152313,
    0.4758555591106415,
    0.4264102131128311,
    0.35537298023700714,
    0.31983812153339386,
    0.3136613965034485,
    0.28133249282836914,
    0.28434084355831146,
    0.37556424736976624,
    0.4503532499074936,
    0.5632445514202118,
    0.6654370278120041,
    0.7051572650671005,
    0.6831382215023041,
    0.6354246437549591,
    0.5293809473514557,
    0.45597513020038605,
    0.3784338980913162,
    0.34896428883075714,
    0.32450033724308014,
    0.2648308277130127,
    0.24073275923728943,
    0.2340177446603775,
    0.26018349826335907,
    0.3016086667776108,
    0.36943987011909485,
    0.399512842297554,
    0.3659842312335968,
    0.3025369346141815,
    0.25564369559288025,
    0.21549008786678314,
    0.14643032848834991,
    0.1383659690618515,
    0.14469364285469055,
    0.1907510757446289,
    0.23373070359230042,
    0.25415007770061493,
    0.24131283164024353,
    0.21645885705947876,
    0.23934301733970642,
    0.23111340403556824,
    0.23557457327842712,
    0.27205991744995117,
    0.3458099961280823,
    0.4616692066192627,
    0.541349321603775,
    0.5878268182277679,
    0.5413786619901657,
    0.4413234740495682,
    0.30473893880844116,
    0.198601633310318,
    0.11095449328422546,
    0.12369705736637115,
    0.19021263718605042,
    0.2681628167629242,
    0.37257562577724457,
    0.45425041019916534,
    0.5029444098472595,
    0.5684479773044586,
    0.5299882888793945,
    0.4688308984041214,
    0.3615657389163971,
    0.22602640092372894,
    0.09634652733802795,
    0.04687255620956421,
    0.06520581245422363,
    0.1208292543888092,
    0.18870705366134644,
    0.26884572207927704,
    0.38565880060195923,
    0.46558721363544464,
    0.5392789393663406,
    0.5425409972667694,
    0.4949904978275299,
    0.4629252851009369,
    0.40986083447933197,
    0.38689857721328735,
    0.32702377438545227,
    0.26666784286499023,
    0.20712359249591827,
    0.14323954284191132,
    0.11420358717441559,
    0.16581736505031586,
    0.27025410532951355,
    0.3788606524467468,
    0.45852695405483246,
    0.4568599462509155,
    0.4581744372844696,
    0.407989040017128,
    0.3552979975938797,
    0.30875979363918304,
    0.3023100793361664,
    0.35917501151561737,
    0.4184689521789551,
    0.47141149640083313,
    0.4428284466266632,
    0.3823057562112808,
    0.25071702897548676,
    0.09635549783706665,
    -0.015480533242225647,
    -0.04796701669692993,
    -0.02217230200767517,
    0.0674445629119873,
    0.1687292605638504,
    0.25706563889980316,
    0.30159083008766174,
    0.3726900964975357,
    0.38441771268844604,
    0.34917137026786804,
    0.2805723547935486,
    0.1971694827079773,
    0.14473913609981537,
    0.1651494950056076,
    0.2200261801481247,
    0.28587742149829865,
    0.33244122564792633,
    0.3439321219921112,
    0.31437458097934723,
    0.23853780329227448,
    0.16805532574653625,
    0.15036988258361816,
    0.14294061064720154,
    0.13111478090286255,
    0.1125524640083313,
    0.13768918812274933,
    0.14197131991386414,
    0.17367537319660187,
    0.173482283949852,
    0.19815665483474731,
    0.22632211446762085,
    0.24297687411308289,
    0.25209061801433563,
    0.2651234418153763,
    0.293641060590744,
    0.3119407892227173,
    0.31980304419994354,
    0.2676379978656769,
    0.20947717130184174,
    0.1627795398235321,
    0.12598226964473724,
    0.11959661543369293,
    0.11409439146518707,
    0.17104575037956238,
    0.24724531173706055,
    0.35257014632225037,
    0.44183196127414703,
    0.5214936435222626,
    0.5779924392700195,
    0.5708613693714142,
    0.5333134531974792,
    0.48366858065128326,
    0.4441640228033066,
    0.4411558657884598,
    0.4088265299797058,
    0.3782341480255127,
    0.2991386502981186,
    0.23096024990081787,
    0.20135636627674103,
    0.18610408902168274,
    0.21609854698181152,
    0.2557721883058548,
    0.3484239876270294,
    0.45877957344055176,
    0.5728389322757721,
    0.6955919712781906,
    0.7714199125766754,
    0.7295470237731934,
    0.6553457081317902,
    0.5383563190698624,
    0.4271562248468399,
    0.28895676136016846,
    0.20891498029232025,
    0.15325093269348145,
    0.11647415161132812,
    0.1560291349887848,
    0.23548315465450287,
    0.34507545828819275,
    0.4262567460536957,
    0.46129943430423737,
    0.41561664640903473,
    0.3922590911388397,
    0.32152220606803894,
    0.2476307451725006,
    0.2228536754846573,
    0.17179645597934723,
    0.154297336935997,
    0.1334366798400879,
    0.17315061390399933,
    0.2279759645462036,
    0.25911009311676025,
    0.26191720366477966,
    0.2556360065937042,
    0.2798336446285248,
    0.3317933529615402,
    0.3793661594390869,
    0.445794939994812,
    0.4978737235069275,
    0.5680766105651855,
    0.5737528502941132,
    0.5420083105564117,
    0.47671622037887573,
    0.3519017994403839,
    0.25712281465530396,
    0.197771355509758,
    0.18726567924022675,
    0.2100568413734436,
    0.2759462893009186,
    0.3581334203481674,
    0.4822003096342087,
    0.5826613306999207,
    0.5788202285766602,
    0.5624822080135345,
    0.4601234495639801,
    0.3736400455236435,
    0.3000490069389343,
    0.22484977543354034,
    0.16492725908756256,
    0.14613091945648193,
    0.1808616667985916,
    0.2558782994747162,
    0.3127850890159607,
    0.3358718901872635,
    0.40440627932548523,
    0.4906281530857086,
    0.5784783661365509,
    0.6111006736755371,
    0.6234531104564667,
    0.6120602786540985,
    0.5705778896808624,
    0.4834741950035095,
    0.4133225232362747,
    0.34795820713043213,
    0.29083968698978424,
    0.20962034165859222,
    0.16623911261558533,
    0.19327831268310547,
    0.26160672307014465,
    0.3347906470298767,
    0.37601806223392487,
    0.3848601281642914,
    0.3864111602306366,
    0.3565588593482971,
    0.3230928033590317,
    0.2868638187646866,
    0.30505478382110596,
    0.3602437227964401,
    0.4212974011898041,
    0.4140801578760147,
    0.3381742835044861,
    0.2578517943620682,
    0.16046364605426788,
    0.04355928301811218,
    -0.019486352801322937,
    0.022882044315338135,
    0.14282049238681793,
    0.2974005490541458,
    0.3981137126684189,
    0.4515080153942108,
    0.45808643102645874,
    0.4212079346179962,
    0.37508977949619293,
    0.30929720401763916,
    0.2539159655570984,
    0.2394142746925354,
    0.2464209347963333,
    0.2752232402563095,
    0.3004319965839386,
    0.2977585047483444,
    0.32148052752017975,
    0.3636098802089691,
    0.40810592472553253,
    0.4259550869464874,
    0.4343211203813553,
    0.4520426392555237,
    0.45438501238822937,
    0.4583403170108795,
    0.4337480962276459,
    0.4650304764509201,
    0.5057776123285294,
    0.5213209837675095,
    0.48142458498477936,
    0.480404257774353,
    0.44411489367485046,
    0.40854763984680176,
    0.3989773094654083,
    0.3812933713197708,
    0.33433789014816284,
    0.2852252721786499,
    0.24814154207706451,
    0.20999667048454285,
    0.1771717220544815,
    0.1743517518043518,
    0.2541387975215912,
    0.3610723912715912,
    0.5310152918100357,
    0.6940229833126068,
    0.8022269457578659,
    0.7734984308481216,
    0.6743254363536835,
    0.5338157415390015,
    0.39114485681056976,
    0.3116663694381714,
    0.2698688209056854,
    0.2981128692626953,
    0.31739431619644165,
    0.3429757207632065,
    0.32476383447647095,
    0.33760447800159454,
    0.3512938320636749,
    0.39061807096004486,
    0.4057180732488632,
    0.3759807348251343,
    0.3411087095737457,
    0.2708737552165985,
    0.17928291857242584,
    0.1196131557226181,
    0.13642336428165436,
    0.1757006049156189,
    0.2309829443693161,
    0.28612150251865387,
    0.3273138552904129,
    0.3360891342163086,
    0.32350292801856995,
    0.2878957837820053,
    0.19778135418891907,
    0.12131337821483612,
    0.09578518569469452,
    0.12835831940174103,
    0.17787310481071472,
    0.29245106875896454,
    0.39118264615535736,
    0.47353053092956543,
    0.5001904666423798,
    0.4646179974079132,
    0.3296479433774948,
    0.21269112825393677,
    0.1445561796426773,
    0.14346015453338623,
    0.20662464201450348,
    0.27037501335144043,
    0.34534530341625214,
    0.42022526264190674,
    0.4681347757577896,
    0.4745413362979889,
    0.46383407711982727,
    0.427655965089798,
    0.36789630353450775,
    0.33201679587364197,
    0.27057330310344696,
    0.17202343046665192,
    0.13293926417827606,
    0.14113853871822357,
    0.17359080910682678,
    0.21296872198581696,
    0.23733283579349518,
    0.23834195733070374,
    0.24663683772087097,
    0.29330581426620483,
    0.3570309281349182,
    0.41985200345516205,
    0.47268304228782654,
    0.4534541070461273,
    0.4371436685323715,
    0.39992813766002655,
    0.3933005630970001,
    0.4024089574813843,
    0.3939698189496994,
    0.37945084273815155,
    0.3152734190225601,
    0.2509748041629791,
    0.12088808417320251,
    0.027415916323661804,
    0.019227460026741028,
    0.0684128999710083,
    0.2030324637889862,
    0.3214784562587738,
    0.42220599949359894,
    0.4381442219018936,
    0.4202832877635956,
    0.4115329533815384,
    0.35084885358810425,
    0.2970590740442276,
    0.24532876908779144,
    0.2679317891597748,
    0.28444819152355194,
    0.2920709550380707,
    0.28439055383205414,
    0.2595420330762863,
    0.14002428948879242,
    0.03367099165916443,
    -0.016737163066864014,
    -0.010969474911689758,
    0.062363237142562866,
    0.19282406568527222,
    0.2892363965511322,
    0.3655260503292084,
    0.4212924391031265,
    0.48210200667381287,
    0.4954778552055359,
    0.4668689966201782,
    0.42547860741615295,
    0.36546850204467773,
    0.34692971408367157,
    0.38544850051403046,
    0.40277132391929626,
    0.37480394542217255,
    0.3487727493047714,
    0.34420058131217957,
    0.31307579576969147,
    0.2444394826889038,
    0.1745450347661972,
    0.13550764322280884,
    0.1457788348197937,
    0.19010084867477417,
    0.27734673023223877,
    0.38040271401405334,
    0.45748448371887207,
    0.49463652074337006,
    0.5060660690069199,
    0.4708053171634674,
    0.40751633048057556,
    0.34370453655719757,
    0.28408755362033844,
    0.2664931118488312,
    0.26670026779174805,
    0.27610959112644196,
    0.3398002088069916,
    0.44513705372810364,
    0.5319042205810547,
    0.5780114233493805,
    0.5684737861156464,
    0.5678408741950989,
    0.5913557410240173,
    0.5997002124786377,
    0.5556893348693848,
    0.5524057298898697,
    0.4860743284225464,
    0.43651194870471954,
    0.3781154006719589,
    0.33903901278972626,
    0.3051484525203705,
    0.2493952214717865,
    0.2448439598083496,
    0.23499412834644318,
    0.24850279092788696,
    0.3096308708190918,
    0.41183899343013763,
    0.5329329669475555,
    0.6596763730049133,
    0.7394573241472244,
    0.7701316028833389,
    0.7324583530426025,
    0.6735737919807434,
    0.5478725284337997,
    0.4138319045305252,
    0.3130274564027786,
    0.2597840279340744,
    0.24188852310180664,
    0.21238142251968384,
    0.27742666006088257,
    0.37441207468509674,
    0.4380809813737869,
    0.49332354962825775,
    0.49378594756126404,
    0.46245332062244415,
    0.41273394227027893,
    0.347907155752182,
    0.2624629735946655,
    0.238979771733284,
    0.21206191182136536,
    0.2395290583372116,
    0.25510305166244507,
    0.2971508055925369,
    0.34025484323501587,
    0.34422440826892853,
    0.3053317368030548,
    0.25642457604408264,
    0.2573521137237549,
    0.2361704707145691,
    0.26541459560394287,
    0.3055192232131958,
    0.3923073410987854,
    0.4617932140827179,
    0.5150049924850464,
    0.48987339437007904,
    0.4174255132675171,
    0.2663535177707672,
    0.14089304208755493,
    0.10293552279472351,
    0.13437853753566742,
    0.2688874900341034,
    0.41657958924770355,
    0.5318833142518997,
    0.6091210842132568,
    0.6246590167284012,
    0.5939999520778656,
    0.534861296415329,
    0.4150770604610443,
    0.30319784581661224,
    0.21494746208190918,
    0.13336315751075745,
    0.1033906489610672,
    0.10793226957321167,
    0.17129996418952942,
    0.2861540615558624,
    0.3552298992872238,
    0.34504149854183197,
    0.35113224387168884,
    0.3771735280752182,
    0.417399600148201,
    0.44277310371398926,
    0.4745102822780609,
    0.5050866901874542,
    0.5051383525133133,
    0.484051451086998,
    0.45083826780319214,
    0.3678421974182129,
    0.2524043768644333,
    0.15608030557632446,
    0.09067907929420471,
    0.06777296960353851,
    0.10291537642478943,
    0.17374378442764282,
    0.2550632208585739,
    0.34256313741207123,
    0.40805748105049133,
    0.4113272577524185,
    0.4091191738843918,
    0.3731369823217392,
    0.3302777111530304,
    0.3009382039308548,
    0.3370702862739563,
    0.3404848724603653,
    0.32033631205558777,
    0.28693023324012756,
    0.2267676442861557,
    0.1183413565158844,
    -0.007389381527900696,
    -0.02579621970653534,
    0.004828587174415588,
    0.09011411666870117,
    0.19501495361328125,
    0.3368489295244217,
    0.4057997167110443,
    0.42807912826538086,
    0.43211570382118225,
    0.415403813123703,
    0.35858672857284546,
    0.30855685472488403,
    0.2538067102432251,
    0.19467799365520477,
    0.1702304482460022,
    0.1440095156431198,
    0.14912141859531403,
    0.17748379707336426,
    0.19621871411800385,
    0.198615163564682,
    0.20364204049110413,
    0.1986943781375885,
    0.18576940894126892,
    0.15589690208435059,
    0.12937194108963013,
    0.1156022697687149,
    0.10988062620162964,
    0.18554764986038208,
    0.26602931320667267,
    0.3506305515766144,
    0.383049875497818,
    0.3488769233226776,
    0.24636825919151306,
    0.19388914108276367,
    0.1465635597705841,
    0.1416274607181549,
    0.14735031127929688,
    0.21629291772842407,
    0.2540092468261719,
    0.3170712739229202,
    0.3887944370508194,
    0.45213188230991364,
    0.5037217885255814,
    0.4986645132303238,
    0.4757262021303177,
    0.42609839141368866,
    0.37430940568447113,
    0.3228927105665207,
    0.2782190144062042,
    0.27855002880096436,
    0.3033095449209213,
    0.3466365933418274,
    0.34149087965488434,
    0.321244016289711,
    0.3263379633426666,
    0.35412563383579254,
    0.40472112596035004,
    0.4755721986293793,
    0.5555233955383301,
    0.6003233641386032,
    0.5961073637008667,
    0.5952609330415726,
    0.6270103752613068,
    0.6158887296915054,
    0.5718740671873093,
    0.4577060043811798,
    0.3667113333940506,
    0.2960856854915619,
    0.2935603857040405,
    0.3020244687795639,
    0.2744269371032715,
    0.25362493097782135,
    0.20637297630310059,
    0.1475192904472351,
    0.13403289020061493,
    0.16164688766002655,
    0.1962994933128357,
    0.28755831718444824,
    0.4250141531229019,
    0.5614956170320511,
    0.6516751796007156,
    0.6566304713487625,
    0.6133304238319397,
    0.4912474751472473,
    0.34786273539066315,
    0.19404493272304535,
    0.07264207303524017,
    0.008769512176513672,
    -0.008224815130233765,
    0.09506219625473022,
    0.21640723943710327,
    0.33393174409866333,
    0.3982795178890228,
    0.4654565751552582,
    0.5204595476388931,
    0.48266078531742096,
    0.41282352805137634,
    0.3276697099208832,
    0.23200009763240814,
    0.15592803061008453,
    0.1393456906080246,
    0.16286906599998474,
    0.22697241604328156,
    0.30726051330566406,
    0.323263555765152,
    0.31230528652668,
    0.32707446813583374,
    0.3544537425041199,
    0.39223575592041016,
    0.42544275522232056,
    0.45803847908973694,
    0.5098121911287308,
    0.5133709162473679,
    0.5359428524971008,
    0.5149936228990555,
    0.46118350327014923,
    0.42046190798282623,
    0.3784761130809784,
    0.3785744309425354,
    0.41726234555244446,
    0.492912694811821,
    0.5643696933984756,
    0.6009559035301208,
    0.6301719546318054,
    0.6024758964776993,
    0.5904975831508636,
    0.5823472738265991,
    0.5755061060190201,
    0.5440830141305923,
    0.5180886387825012,
    0.5322754830121994,
    0.5668847411870956,
    0.5965553522109985,
    0.6066356301307678,
    0.6216439306735992,
    0.620042085647583,
    0.6017288118600845,
    0.5883447080850601,
    0.568701297044754,
    0.5237129032611847,
    0.44790345430374146,
    0.38357673585414886,
    0.34576892852783203,
    0.3321331888437271,
    0.3318125456571579,
    0.36306050419807434,
    0.4386756420135498,
    0.5138950198888779,
    0.55340975522995,
    0.5891933292150497,
    0.5828147530555725,
    0.5239361524581909,
    0.4470915198326111,
    0.37612593173980713,
    0.28324994444847107,
    0.23189769685268402,
    0.21415181457996368,
    0.2490987479686737,
    0.2711830735206604,
    0.27237918972969055,
    0.2941000312566757,
    0.28483201563358307,
    0.25488001108169556,
    0.21583452820777893,
    0.1698113977909088,
    0.12594857811927795,
    0.10974544286727905,
    0.12915797531604767,
    0.17491687834262848,
    0.20287512242794037,
    0.21920597553253174,
    0.20103901624679565,
    0.15828794240951538,
    0.10155346989631653,
    0.05284819006919861,
    0.061942219734191895,
    0.08970595896244049,
    0.18954859673976898,
    0.2962198853492737,
    0.37602151930332184,
    0.43294191360473633,
    0.4335983693599701,
    0.3910573422908783,
    0.3013494610786438,
    0.2366826981306076,
    0.18959331512451172,
    0.14769640564918518,
    0.13174176216125488,
    0.12501278519630432,
    0.14771750569343567,
    0.19311274588108063,
    0.27596886456012726,
    0.3912728428840637,
    0.4585888087749481,
    0.45884324610233307,
    0.385505735874176,
    0.28908149898052216,
    0.1796601563692093,
    0.09844717383384705,
    0.07453811168670654,
    0.1213812530040741,
    0.13811181485652924,
    0.1737239956855774,
    0.21498167514801025,
    0.302905336022377,
    0.37367138266563416,
    0.4164235591888428,
    0.44005943834781647,
    0.4621320515871048,
    0.42873357236385345,
    0.3663432002067566,
    0.29253387451171875,
    0.23224103450775146,
    0.15526393055915833,
    0.07030998170375824,
    0.048246368765830994,
    0.08289043605327606,
    0.17455460131168365,
    0.2572116255760193,
    0.3762577176094055,
    0.461710125207901,
    0.5000467002391815,
    0.48555414378643036,
    0.4599342495203018,
    0.38319309055805206,
    0.2789861261844635,
    0.21519921720027924,
    0.20690155029296875,
    0.20039069652557373,
    0.19429796934127808,
    0.19177259504795074,
    0.1339876800775528,
    0.13933873176574707,
    0.17405343055725098,
    0.2267240583896637,
    0.3317148834466934,
    0.4365231394767761,
    0.5162716060876846,
    0.5513337552547455,
    0.5336339473724365,
    0.5365611910820007,
    0.5096529424190521,
    0.5328651368618011,
    0.5022606551647186,
    0.45298048853874207,
    0.3692266643047333,
    0.2486897110939026,
    0.16201001405715942,
    0.13031533360481262,
    0.15186496078968048,
    0.16581991314888,
    0.18433494865894318,
    0.2358449250459671,
    0.2876141518354416,
    0.328246533870697,
    0.3789154291152954,
    0.4346570372581482,
    0.4736557900905609,
    0.5213266909122467,
    0.49291783571243286,
    0.49398426711559296,
    0.4784783869981766,
    0.4424847662448883,
    0.3874422311782837,
    0.3459226042032242,
    0.3398544639348984,
    0.28917060792446136,
    0.2610311061143875,
    0.2135525345802307,
    0.17366930842399597,
    0.1651269793510437,
    0.20203354954719543,
    0.29447951912879944,
    0.43609777092933655,
    0.6231509447097778,
    0.7582579404115677,
    0.8766639530658722,
    0.8781750053167343,
    0.7560968101024628,
    0.576344758272171,
    0.371876522898674,
    0.18235357105731964,
    0.06427554786205292,
    0.02674385905265808,
    0.0305212140083313,
    0.121553435921669,
    0.22857874631881714,
    0.3529004007577896,
    0.40135765075683594,
    0.4236759841442108,
    0.3707001060247421,
    0.30554404854774475,
    0.23985108733177185,
    0.14109423756599426,
    0.07531659305095673,
    0.053455159068107605,
    0.10411940515041351,
    0.15766683220863342,
    0.2405494898557663,
    0.2850460261106491,
    0.29125751554965973,
    0.2554643750190735,
    0.20363566279411316,
    0.18944483995437622,
    0.24087996780872345,
    0.287810355424881,
    0.3279494047164917,
    0.35334612429142,
    0.38291019201278687,
    0.36324578523635864,
    0.3018661141395569,
    0.22229482233524323,
    0.15457680821418762,
    0.1548353135585785,
    0.17910952866077423,
    0.17129947245121002,
    0.18946333229541779,
    0.22709204256534576,
    0.2859526425600052,
    0.3893330842256546,
    0.47535502910614014,
    0.4908337891101837,
    0.4932883083820343,
    0.4839053899049759,
    0.4239194840192795,
    0.31940414011478424,
    0.2038968801498413,
    0.15211471915245056,
    0.12936916947364807,
    0.1946384310722351,
    0.2724177986383438,
    0.3211360275745392,
    0.3260022848844528,
    0.33477261662483215,
    0.3752196431159973,
    0.4500851333141327,
    0.5046017318964005,
    0.540773868560791,
    0.5733156502246857,
    0.541510671377182,
    0.4864528477191925,
    0.39842574298381805,
    0.29264092445373535,
    0.20322510600090027,
    0.1345987766981125,
    0.13768641650676727,
    0.17753557860851288,
    0.24304896593093872,
    0.3057836890220642,
    0.33981890976428986,
    0.3577672839164734,
    0.39127108454704285,
    0.3697120398283005,
    0.387773722410202,
    0.3902425318956375,
    0.36679527163505554,
    0.36838583648204803,
    0.3588988184928894,
    0.31633761525154114,
    0.2498510330915451,
    0.18502414226531982,
    0.1104586273431778,
    0.045203328132629395,
    0.011217430233955383,
    0.03786763548851013,
    0.13993173837661743,
    0.31586627662181854,
    0.45672331750392914,
    0.5570891946554184,
    0.5300855934619904,
    0.47807586193084717,
    0.41071006655693054,
    0.36355817317962646,
    0.29795265197753906,
    0.2458600401878357,
    0.17505060136318207,
    0.17501167953014374,
    0.24925720691680908,
    0.3022575229406357,
    0.33158843219280243,
    0.30088528990745544,
    0.2853819280862808,
    0.25391027331352234,
    0.25993601977825165,
    0.30300047993659973,
    0.33630651235580444,
    0.39876917004585266,
    0.4853564500808716,
    0.5938428193330765,
    0.6771475076675415,
    0.6783365458250046,
    0.588826134800911,
    0.46711021661758423,
    0.30202043056488037,
    0.14649347960948944,
    0.05404399335384369,
    0.0590348094701767,
    0.095634326338768,
    0.17137880623340607,
    0.25947365164756775,
    0.3454093784093857,
    0.4035857766866684,
    0.4542641043663025,
    0.5557830035686493,
    0.6020605862140656,
    0.6025869250297546,
    0.5291805565357208,
    0.39051690697669983,
    0.2458028495311737,
    0.16162949800491333,
    0.09467142820358276,
    0.05816178023815155,
    0.07584844529628754,
    0.13831834495067596,
    0.20448127388954163,
    0.279752641916275,
    0.3570062518119812,
    0.40869711339473724,
    0.36557886004447937,
    0.28201067447662354,
    0.17115256190299988,
    0.09040355682373047,
    0.02130885422229767,
    0.0497833788394928,
    0.10451607406139374,
    0.1754063218832016,
    0.2616838961839676,
    0.31179577112197876,
    0.326491579413414,
    0.26225847005844116,
    0.23204946517944336,
    0.2333303689956665,
    0.21134750545024872,
    0.21848434209823608,
    0.22087286412715912,
    0.2519482523202896,
    0.27895162999629974,
    0.3332366347312927,
    0.3513440489768982,
    0.353238582611084,
    0.354556143283844,
    0.3445589542388916,
    0.3012581169605255,
    0.2528693825006485,
    0.22280676662921906,
    0.25738780200481415,
    0.2455005794763565,
    0.2800690084695816,
    0.32693977653980255,
    0.3960586041212082,
    0.4213641285896301,
    0.42962266504764557,
    0.4116625487804413,
    0.39218488335609436,
    0.3383866846561432,
    0.28441372513771057,
    0.2572253942489624,
    0.21763482689857483,
    0.247634619474411,
    0.2774498164653778,
    0.30424419045448303,
    0.3250499367713928,
    0.2922733575105667,
    0.23928304016590118,
    0.22558924555778503,
    0.222126305103302,
    0.2437349557876587,
    0.2822856307029724,
    0.33564426004886627,
    0.4081510156393051,
    0.4304594248533249,
    0.46500644087791443,
    0.47476862370967865,
    0.4750125855207443,
    0.45672231912612915,
    0.43292275071144104,
    0.4132266938686371,
    0.3250368982553482,
    0.2609817534685135,
    0.26731157302856445,
    0.27990397810935974,
    0.36163632571697235,
    0.42324817180633545,
    0.5031276196241379,
    0.5638106018304825,
    0.5875340104103088,
    0.5296480506658554,
    0.4722898602485657,
    0.421886682510376,
    0.4050130695104599,
    0.444766029715538,
    0.45573142170906067,
    0.4638260453939438,
    0.4069533348083496,
    0.30343857407569885,
    0.22898639738559723,
    0.20927828550338745,
    0.23458649218082428,
    0.28964588046073914,
    0.33883780241012573,
    0.4185265600681305,
    0.4957481622695923,
    0.5772275328636169,
    0.5841939151287079,
    0.614574745297432,
    0.6010889559984207,
    0.5525507032871246,
    0.4725301265716553,
    0.3893474042415619,
    0.32897667586803436,
    0.3228219598531723,
    0.29635998606681824,
    0.2986896485090256,
    0.32499971985816956,
    0.3093825429677963,
    0.295269712805748,
    0.2929609715938568,
    0.3207519054412842,
    0.3670300990343094,
    0.38927161693573,
    0.43981777131557465,
    0.5016921162605286,
    0.5313365459442139,
    0.5349897146224976,
    0.566591888666153,
    0.627603068947792,
    0.7140694260597229,
    0.7944946885108948,
    0.826132670044899,
    0.7669854760169983,
    0.6839571893215179,
    0.596252053976059,
    0.4798267185688019,
    0.41394293308258057,
    0.36829550564289093,
    0.2873697578907013,
    0.2253686636686325,
    0.1887931078672409,
    0.21176955103874207,
    0.23963163793087006,
    0.2866201251745224,
    0.3674018830060959,
    0.5021035373210907,
    0.6342123299837112,
    0.7379811257123947,
    0.8355283886194229,
    0.8156644701957703,
    0.700290322303772,
    0.5430913865566254,
    0.3872518688440323,
    0.2727098912000656,
    0.18488307297229767,
    0.13553738594055176,
    0.10211902856826782,
    0.15885454416275024,
    0.21478509902954102,
    0.268839031457901,
    0.3050546199083328,
    0.36062175035476685,
    0.359871044754982,
    0.330745667219162,
    0.30339106917381287,
    0.2512876093387604,
    0.24476246535778046,
    0.23941762745380402,
    0.26843123137950897,
    0.2756461501121521,
    0.2867670804262161,
    0.2511131763458252,
    0.21327705681324005,
    0.2205389440059662,
    0.20223358273506165,
    0.21528689563274384,
    0.22960112988948822,
    0.28849953413009644,
    0.3674774169921875,
    0.41920018196105957,
    0.420626699924469,
    0.3928578794002533,
    0.3220992833375931,
    0.19200927019119263,
    0.12839916348457336,
    0.09563115239143372,
    0.10767696797847748,
    0.17146402597427368,
    0.23887714743614197,
    0.3448633700609207,
    0.42733408510684967,
    0.48438748717308044,
    0.5305351316928864,
    0.4676112234592438,
    0.36606042087078094,
    0.29418477416038513,
    0.21338103711605072,
    0.1433899700641632,
    0.10664135217666626,
    0.13821695744991302,
    0.21170440316200256,
    0.2703961431980133,
    0.3202265501022339,
    0.39217856526374817,
    0.47510161995887756,
    0.5410052835941315,
    0.5759044587612152,
    0.5769253671169281,
    0.5643901526927948,
    0.5444880127906799,
    0.5091974437236786,
    0.470649853348732,
    0.4165320098400116,
    0.36068980395793915,
    0.31423623859882355,
    0.31903132796287537,
    0.392984539270401,
    0.49549317359924316,
    0.5717217922210693,
    0.63217993080616,
    0.6641808599233627,
    0.6262564361095428,
    0.5357136726379395,
    0.4667755514383316,
    0.44854141771793365,
    0.43262550234794617,
    0.4434952586889267,
    0.4550764262676239,
    0.4417211562395096,
    0.38220739364624023,
    0.32021722197532654,
    0.27225978672504425,
    0.18470457196235657,
    0.16575436294078827,
    0.22454717755317688,
    0.282443568110466,
    0.35639357566833496,
    0.41797904670238495,
    0.44922539591789246,
    0.4455825090408325,
    0.4276046007871628,
    0.4124595671892166,
    0.3617094159126282,
    0.31809090077877045,
    0.26814380288124084,
    0.2430167943239212
  ],
  "helix": [
    0.469879187643528,
    0.4816279783844948,
    0.5220284834504128,
    0.5214877501130104,
    0.512733019888401,
    0.49314216524362564,
    0.46470657736063004,
    0.4222838059067726,
    0.40118543058633804,
    0.4107345715165138,
    0.42371169477701187,
    0.5091270580887794,
    0.5704580917954445,
    0.6130627766251564,
    0.6386868134140968,
    0.6594298556447029,
    0.7117914631962776,
    0.7244053455069661,
    0.714903530664742,
    0.7271451009437442,
    0.7305896012112498,
    0.6863162666559219,
    0.6208450347185135,
    0.5410784538835287,
    0.48624119721353054,
    0.42089938186109066,
    0.3426421657204628,
    0.3237905129790306,
    0.3644665302708745,
    0.3852758267894387,
    0.4056643070653081,
    0.4770726962015033,
    0.5050100134685636,
    0.5164683908224106,
    0.5507357316091657,
    0.6064141057431698,
    0.6355962883681059,
    0.6224435865879059,
    0.5595789086073637,
    0.4963867114856839,
    0.44721027184277773,
    0.38525340240448713,
    0.32346686348319054,
    0.2659875601530075,
    0.2711896263062954,
    0.2622335683554411,
    0.23314326722174883,
    0.19562189001590014,
    0.135171202942729,
    0.081549733877182,
    0.09378133527934551,
    0.08341065514832735,
    0.07751370780169964,
    0.08626793045550585,
    0.1043310146778822,
    0.08310508355498314,
    0.0676225982606411,
    0.05651269108057022,
    0.12885485589504242,
    0.18317933939397335,
    0.326578039675951,
    0.3794076107442379,
    0.4159840028733015,
    0.4197353310883045,
    0.4212908335030079,
    0.43022906221449375,
    0.3796977996826172,
    0.30295118130743504,
    0.24478372931480408,
    0.16353672463446856,
    0.12420979514718056,
    0.10849185846745968,
    0.12630793452262878,
    0.1721319705247879,
    0.3098772168159485,
    0.4008155558258295,
    0.40283328015357256,
    0.39665810763835907,
    0.3943584291264415,
    0.380291361361742,
    0.39974511694163084,
    0.44502921495586634,
    0.3941859696060419,
    0.39879888761788607,
    0.39546702336519957,
    0.3704090565443039,
    0.33838443271815777,
    0.29215929191559553,
    0.22010144591331482,
    0.12302615214139223,
    0.14311308786273003,
    0.21468964498490095,
    0.29779698699712753,
    0.3273416804149747,
    0.34504912327975035,
    0.3084284560754895,
    0.23334933258593082,
    0.21768170222640038,
    0.20864450186491013,
    0.21404008194804192,
    0.22736511379480362,
    0.23033107444643974,
    0.22897811233997345,
    0.24317389260977507,
    0.24765932373702526,
    0.3182251527905464,
    0.34397515654563904,
    0.31569747906178236,
    0.31464459374547005,
    0.31815477926284075,
    0.30016734078526497,
    0.26433352660387754,
    0.22179861925542355,
    0.2121008224785328,
    0.2040924485772848,
    0.23026038147509098,
    0.23472936730831861,
    0.24556665401905775,
    0.27011002972722054,
    0.2907746881246567,
    0.2707024263218045,
    0.29254375491291285,
    0.3052271567285061,
    0.3443889245390892,
    0.35824713483452797,
    0.3074544873088598,
    0.29939761850982904,
    0.31329414062201977,
    0.31405406910926104,
    0.2886538924649358,
    0.2557267127558589,
    0.23341959156095982,
    0.27363741397857666,
    0.37030274141579866,
    0.4291702536866069,
    0.44536757469177246,
    0.42777347192168236,
    0.40001162979751825,
    0.38021787628531456,
    0.3327323691919446,
    0.2969735087826848,
    0.24457367975264788,
    0.23071444407105446,
    0.22379167471081018,
    0.23516904190182686,
    0.23154900409281254,
    0.28728428203612566,
    0.3449451671913266,
    0.36003492027521133,
    0.39799671433866024,
    0.3750216541811824,
    0.4099696846678853,
    0.45704927016049623,
    0.48555350862443447,
    0.4526270590722561,
    0.45029496774077415,
    0.5060297353193164,
    0.526710364036262,
    0.5340340146794915,
    0.5234465626999736,
    0.4685195414349437,
    0.3648060569539666,
    0.24249555636197329,
    0.20546936616301537,
    0.2578875198960304,
    0.2524408884346485,
    0.18414598517119884,
    0.15917038917541504,
    0.13182091433554888,
    0.14051619730889797,
    0.07684517931193113,
    0.057339862920343876,
    0.09535633120685816,
    0.15442063473165035,
    0.2254095645621419,
    0.22207481134682894,
    0.23136644531041384,
    0.14629800617694855,
    0.10996271297335625,
    0.10924492310732603,
    0.10520307999104261,
    0.10804637055844069,
    0.1059591667726636,
    0.1023699464276433,
    0.05992161203175783,
    0.0017446158453822136,
    -0.02987111546099186,
    0.02820160984992981,
    0.10876740794628859,
    0.23007134348154068,
    0.3116126172244549,
    0.3293414693325758,
    0.3424895592033863,
    0.3278738185763359,
    0.2977656312286854,
    0.2560523711144924,
    0.21121438778936863,
    0.15918317437171936,
    0.04794734437018633,
    0.019779939204454422,
    0.03874808643013239,
    0.07149279117584229,
    0.10676248371601105,
    0.2012651562690735,
    0.28085524775087833,
    0.30012392718344927,
    0.3639705330133438,
    0.40712637919932604,
    0.45879973843693733,
    0.423671911470592,
    0.4140750924125314,
    0.40585322957485914,
    0.3832620242610574,
    0.38050812017172575,
    0.36503081023693085,
    0.34513322822749615,
    0.32984187826514244,
    0.3368648588657379,
    0.36213035602122545,
    0.37692431546747684,
    0.43675315380096436,
    0.4865729194134474,
    0.45667274855077267,
    0.4399274196475744,
    0.3714993791654706,
    0.34494671039283276,
    0.3832310466095805,
    0.4284928422421217,
    0.4601716622710228,
    0.4988940777257085,
    0.4695905027911067,
    0.46002138685435057,
    0.4447231274098158,
    0.42975326627492905,
    0.3673226535320282,
    0.29671430587768555,
    0.26340639404952526,
    0.22471835929900408,
    0.15427332185208797,
    0.10273317527025938,
    0.06897915992885828,
    0.07367128599435091,
    0.05620132107287645,
    0.0699073076248169,
    0.08654421847313643,
    0.11444702465087175,
    0.17473844159394503,
    0.24829880893230438,
    0.2798271728679538,
    0.31946292985230684,
    0.3809337364509702,
    0.42148033529520035,
    0.45127827022224665,
    0.46167227905243635,
    0.45979535952210426,
    0.4603925794363022,
    0.4599335016682744,
    0.3863377897068858,
    0.32933202665299177,
    0.2703811749815941,
    0.22610177099704742,
    0.2154342532157898,
    0.21575763449072838,
    0.23259006440639496,
    0.22808048129081726,
    0.25610917899757624,
    0.2772960467264056,
    0.35381815303117037,
    0.36788545176386833,
    0.395035813562572,
    0.39084114227443933,
    0.38836031034588814,
    0.37779483292251825,
    0.4062199126929045,
    0.3729090364649892,
    0.3511621365323663,
    0.331773966550827,
    0.33179869037121534,
    0.3303913101553917,
    0.3158945944160223,
    0.3640085831284523,
    0.3552106283605099,
    0.3940351726487279,
    0.415686528198421,
    0.39816057961434126,
    0.3680949853733182,
    0.31168467085808516,
    0.23971899412572384,
    0.1636090436950326,
    0.10604523587971926,
    0.07196547091007233,
    0.10232021380215883,
    0.14118550438433886,
    0.15718513540923595,
    0.21545143146067858,
    0.2241866858676076,
    0.22949746251106262,
    0.271791435778141,
    0.27331864926964045,
    0.2657553059980273,
    0.24529660306870937,
    0.20914256293326616,
    0.14551372919231653,
    0.16093963850289583,
    0.1134406216442585,
    0.12242017686367035,
    0.11434456706047058,
    0.11164432764053345,
    0.10021146945655346,
    0.09590841270983219,
    0.08167667128145695,
    0.12365008890628815,
    0.19209392461925745,
    0.30493866838514805,
    0.42343616113066673,
    0.46394254360347986,
    0.4912598617374897,
    0.5118204299360514,
    0.5120863206684589,
    0.47130442690104246,
    0.370471203699708,
    0.2754683494567871,
    0.1963631482794881,
    0.12371562793850899,
    0.0599790271371603,
    0.038192763924598694,
    0.052031710743904114,
    0.06414702534675598,
    0.08896426297724247,
    0.1388636901974678,
    0.19135403260588646,
    0.19719021767377853,
    0.23367624077945948,
    0.2622535489499569,
    0.22915155161172152,
    0.12927188351750374,
    0.08615522552281618,
    0.037479694932699203,
    0.036917030811309814,
    0.09264852106571198,
    0.09863746725022793,
    0.07623763382434845,
    0.1081664739176631,
    0.14243491739034653,
    0.24335041921585798,
    0.341413464397192,
    0.42988404631614685,
    0.5183675214648247,
    0.5365006187930703,
    0.5662922663614154,
    0.6037535713985562,
    0.5703259538859129,
    0.506952166557312,
    0.434294193983078,
    0.3241565115749836,
    0.2504350794479251,
    0.26839124877005816,
    0.24250107072293758,
    0.17304903268814087,
    0.13147964142262936,
    0.07326609827578068,
    0.04467144329100847,
    0.013332278467714787,
    -0.03618874121457338,
    -0.09694922249764204,
    -0.14505757298320532,
    -0.09522012062370777,
    -0.05570654105395079,
    0.021976783871650696,
    0.05582112446427345,
    0.044781153090298176,
    0.0901062237098813,
    0.1060795746743679,
    0.1418436048552394,
    0.1679304288700223,
    0.23624522611498833,
    0.30644366703927517,
    0.352414820343256,
    0.34850243851542473,
    0.3319142647087574,
    0.2766013592481613,
    0.19472188968211412,
    0.09887716174125671,
    0.08420129399746656,
    0.06692386046051979,
    0.07654045522212982,
    0.10541926696896553,
    0.12473079841583967,
    0.13316585682332516,
    0.14530202746391296,
    0.1472099581733346,
    0.1540891034528613,
    0.20769015047699213,
    0.24516558460891247,
    0.31292029470205307,
    0.3151468522846699,
    0.3869194872677326,
    0.4883258054032922,
    0.5774752097204328,
    0.6066028336063027,
    0.5490065841004252,
    0.5085865212604403,
    0.5031080339103937,
    0.5306258797645569,
    0.5251789102330804,
    0.5054564131423831,
    0.46768275927752256,
    0.5006817374378443,
    0.5218766434118152,
    0.5465607671067119,
    0.5671245018020272,
    0.6001696698367596,
    0.6321386871859431,
    0.6341933915391564,
    0.6385168926790357,
    0.6134376348927617,
    0.6026498507708311,
    0.5731524303555489,
    0.5284884795546532,
    0.47761036455631256,
    0.43901282269507647,
    0.3828253000974655,
    0.3462387965992093,
    0.25139437709003687,
    0.2319601159542799,
    0.2716984059661627,
    0.2859018696472049,
    0.3194021927192807,
    0.31579218432307243,
    0.3556127231568098,
    0.37059483397752047,
    0.39512260630726814,
    0.4535423032939434,
    0.4834356205537915,
    0.5272444393485785,
    0.5145749673247337,
    0.4412193074822426,
    0.356992756947875,
    0.25309183169156313,
    0.13355491310358047,
    0.08242680877447128,
    0.04841212462633848,
    0.12301066797226667,
    0.27854681108146906,
    0.336770486086607,
    0.3784304903820157,
    0.38026940915733576,
    0.3784460462629795,
    0.3223702618852258,
    0.2877295259386301,
    0.2210149560123682,
    0.15293457824736834,
    0.11567277181893587,
    0.11387268453836441,
    0.1407768651843071,
    0.20945198833942413,
    0.3420830965042114,
    0.4316511545330286,
    0.45081354957073927,
    0.4268820844590664,
    0.3563412455841899,
    0.29463516268879175,
    0.27843917440623045,
    0.24939389619976282,
    0.2482031686231494,
    0.2347508380189538,
    0.19496598467230797,
    0.17133823037147522,
    0.1843911362811923,
    0.2573900744318962,
    0.28629277646541595,
    0.33976378105580807,
    0.3957365993410349,
    0.4549685837700963,
    0.4666223060339689,
    0.43655811343342066,
    0.43267760146409273,
    0.39058560598641634,
    0.318284603767097,
    0.3293122826144099,
    0.3541740505024791,
    0.3923122612759471,
    0.36014506965875626,
    0.33694075141102076,
    0.33837227057665586,
    0.3137829825282097,
    0.3007404236122966,
    0.3231607973575592,
    0.30488275084644556,
    0.28837613854557276,
    0.2669918965548277,
    0.23058392852544785,
    0.23155791591852903,
    0.19625951908528805,
    0.192976132966578,
    0.19252207688987255,
    0.1957217501476407,
    0.18669247906655073,
    0.17506393510848284,
    0.18526763189584017,
    0.19371390342712402,
    0.24520807527005672,
    0.3624664796516299,
    0.47532233223319054,
    0.5166017785668373,
    0.5595854530110955,
    0.5423982944339514,
    0.49088268354535103,
    0.43988232407718897,
    0.41466495115309954,
    0.3478455366566777,
    0.32256152480840683,
    0.31978424452245235,
    0.36833418533205986,
    0.34090548381209373,
    0.35460275411605835,
    0.36288584396243095,
    0.35991430282592773,
    0.36986661050468683,
    0.33804322499781847,
    0.30926983524113894,
    0.2859328966587782,
    0.302844500169158,
    0.28370038140565157,
    0.3489898983389139,
    0.35357740987092257,
    0.4010912971571088,
    0.3854429153725505,
    0.38859754242002964,
    0.39680968690663576,
    0.4229160873219371,
    0.44834739714860916,
    0.492219147272408,
    0.5136553272604942,
    0.5117750428617001,
    0.4879107056185603,
    0.4987268252298236,
    0.4537959722802043,
    0.3823796520009637,
    0.3119611768051982,
    0.24356611631810665,
    0.19292491767555475,
    0.1745241777971387,
    0.20823983568698168,
    0.2887246608734131,
    0.3540821699425578,
    0.4214871507138014,
    0.43557209987193346,
    0.3999279709532857,
    0.3652095375582576,
    0.3207364659756422,
    0.2618901589885354,
    0.22250517085194588,
    0.195749556645751,
    0.17366583459079266,
    0.15507966745644808,
    0.145116800442338,
    0.16498173773288727,
    0.12518961541354656,
    0.09905776381492615,
    0.1400338439270854,
    0.15670336224138737,
    0.21084891632199287,
    0.22626875899732113,
    0.20814611576497555,
    0.18009807262569666,
    0.12435549963265657,
    0.10807573795318604,
    0.14660944510251284,
    0.21680448949337006,
    0.3103885855525732,
    0.3857242725789547,
    0.3804400386288762,
    0.41279618814587593,
    0.37169147469103336,
    0.2829228825867176,
    0.22775493655353785,
    0.13058307208120823,
    0.046492695808410645,
    -0.0027869809418916702,
    -0.03405591379851103,
    -0.013958500698208809,
    0.013132557272911072,
    0.08286286890506744,
    0.22567075490951538,
    0.33986675180494785,
    0.3589547844603658,
    0.39982210099697113,
    0.43473181407898664,
    0.41557552292943,
    0.32987191900610924,
    0.24751428235322237,
    0.2288418421521783,
    0.18985724914819002,
    0.20518271159380674,
    0.2567887157201767,
    0.3051248909905553,
    0.3498247601091862,
    0.35614536702632904,
    0.3186642499640584,
    0.29015848971903324,
    0.23521167039871216,
    0.23433096520602703,
    0.24927443824708462,
    0.31247249711304903,
    0.3573246793821454,
    0.3408176563680172,
    0.3413391439244151,
    0.39380030427128077,
    0.4086066987365484,
    0.4656416354700923,
    0.4311860976740718,
    0.40617462433874607,
    0.37630842346698046,
    0.34701855946332216,
    0.3323699338361621,
    0.33920508436858654,
    0.33672329038381577,
    0.3545148968696594,
    0.3444308815523982,
    0.3000907897949219,
    0.24252125341445208,
    0.1899027805775404,
    0.12084911298006773,
    0.05803062953054905,
    -0.02370493020862341,
    -0.0637237448245287,
    -0.10436229780316353,
    -0.10018039867281914,
    -0.10437723062932491,
    -0.04979612957686186,
    0.014820178970694542,
    0.0739477900788188,
    0.18191099539399147,
    0.2730081733316183,
    0.3264140095561743,
    0.3768158294260502,
    0.3524648454040289,
    0.35987831745296717,
    0.2923301514238119,
    0.2505426676943898,
    0.18089349288493395,
    0.12006072700023651,
    -0.024238713085651398,
    -0.07127910852432251,
    -0.022314880043268204,
    0.08267152309417725,
    0.11420072242617607,
    0.10578584671020508,
    0.18402332160621881,
    0.23625358566641808,
    0.33451097179204226,
    0.3683291794732213,
    0.4396491404622793,
    0.4184149391949177,
    0.4475872265174985,
    0.4130800850689411,
    0.3842764552682638,
    0.3639965783804655,
    0.3600617032498121,
    0.3166457861661911,
    0.2854519737884402,
    0.28792773466557264,
    0.30928015522658825,
    0.3460896573960781,
    0.38398699183017015,
    0.39968744199723005,
    0.38191554322838783,
    0.41190698556602,
    0.44510827492922544,
    0.3997890232130885,
    0.2748761186376214,
    0.2290348457172513,
    0.27537561021745205,
    0.29589873645454645,
    0.320894499309361,
    0.3649877430871129,
    0.43338973075151443,
    0.44145446736365557,
    0.48092951625585556,
    0.4974302174523473,
    0.4875805350020528,
    0.46229712665081024,
    0.43197161983698606,
    0.4096293644979596,
    0.3969050832092762,
    0.3926221188157797,
    0.3502932917326689,
    0.29172513354569674,
    0.19939487148076296,
    0.09659309964627028,
    0.08308069035410881,
    0.041140866465866566,
    0.032058414071798325,
    0.039337705820798874,
    0.09114986658096313,
    0.08726685680449009,
    0.07649742532521486,
    0.08639875799417496,
    0.17791120987385511,
    0.2679875744506717,
    0.3684688415378332,
    0.4808215759694576,
    0.5052826525643468,
    0.4949074247851968,
    0.4560425542294979,
    0.40312003064900637,
    0.30752118676900864,
    0.2399651650339365,
    0.1461094617843628,
    0.10232530254870653,
    0.12734532728791237,
    0.1826484315097332,
    0.22704005241394043,
    0.28282125294208527,
    0.3569411300122738,
    0.44301692582666874,
    0.47058039624243975,
    0.46955231949687004,
    0.4135000314563513,
    0.37954385951161385,
    0.33200622722506523,
    0.32584567461162806,
    0.2977951541543007,
    0.2616017358377576,
    0.25416552647948265,
    0.2760710269212723,
    0.2966595711186528,
    0.3023827001452446,
    0.2876651845872402,
    0.33236485440284014,
    0.3066586796194315,
    0.2766044298186898,
    0.21208635717630386,
    0.22116405796259642,
    0.2993013300001621,
    0.37350883055478334,
    0.44107014406472445,
    0.4636005647480488,
    0.4614527188241482,
    0.5207722755149007,
    0.51276137214154,
    0.4850988266989589,
    0.44329496193677187,
    0.40403077751398087,
    0.3535783560946584,
    0.2558605782687664,
    0.24004522990435362,
    0.24796521477401257,
    0.2527149971574545,
    0.2766471803188324,
    0.2429173644632101,
    0.16668348386883736,
    0.11289080698043108,
    0.07310747914016247,
    0.09160314034670591,
    0.08170690573751926,
    0.13322026003152132,
    0.20849902741611004,
    0.27642197348177433,
    0.31105971802026033,
    0.3350014565512538,
    0.3670702138915658,
    0.3949469178915024,
    0.376829924993217,
    0.35224749241024256,
    0.34640015941113234,
    0.3232325818389654,
    0.34075400698930025,
    0.3146567828953266,
    0.338839010335505,
    0.289131760597229,
    0.2617145152762532,
    0.22706965822726488,
    0.23076839372515678,
    0.225245276466012,
    0.2031756341457367,
    0.14603463280946016,
    0.13200697023421526,
    0.11174649000167847,
    0.15498832985758781,
    0.16147098038345575,
    0.16473181080073118,
    0.2754434244707227,
    0.3085581660270691,
    0.34332573041319847,
    0.3335571326315403,
    0.34561632107943296,
    0.37685778830200434,
    0.440742677077651,
    0.4386576898396015,
    0.40262924414128065,
    0.36580426059663296,
    0.3676504446193576,
    0.3586670160293579,
    0.33330532163381577,
    0.3265957487747073,
    0.2987925074994564,
    0.3439826909452677,
    0.3490272117778659,
    0.3154766885563731,
    0.22963641583919525,
    0.21833528857678175,
    0.2667835559695959,
    0.2982491562142968,
    0.33395077753812075,
    0.39541072864085436,
    0.47024359554052353,
    0.4930723337456584,
    0.4938985211774707,
    0.4743780642747879,
    0.41847383696585894,
    0.36623941361904144,
    0.32883196137845516,
    0.33064109552651644,
    0.3291399013251066,
    0.3165002055466175,
    0.3016520272940397,
    0.27486536372452974,
    0.19352075085043907,
    0.11641021352261305,
    0.10220157727599144,
    0.06324322335422039,
    0.026871521025896072,
    -0.004054214805364609,
    0.02084246091544628,
    -0.0031191250309348106,
    -0.009312515147030354,
    0.052818022668361664,
    0.13762908149510622,
    0.21799716725945473,
    0.326535371132195,
    0.41743483766913414,
    0.4535784851759672,
    0.5069647021591663,
    0.5037801396101713,
    0.48498487565666437,
    0.3943345854058862,
    0.31215533055365086,
    0.2569229304790497,
    0.19262724835425615,
    0.1693853922188282,
    0.15768808126449585,
    0.20757192373275757,
    0.2789725810289383,
    0.38516923785209656,
    0.45316935516893864,
    0.4389153830707073,
    0.4291185289621353,
    0.41069587133824825,
    0.3885352499783039,
    0.38014646992087364,
    0.3808561908081174,
    0.3777229143306613,
    0.41308944020420313,
    0.4429849348962307,
    0.4689927250146866,
    0.4409968536347151,
    0.4087769463658333,
    0.36039672791957855,
    0.3755193278193474,
    0.38001045025885105,
    0.3922001998871565,
    0.41128917410969734,
    0.47573519218713045,
    0.5033545298501849,
    0.5079049216583371,
    0.4579739235341549,
    0.4871782921254635,
    0.40516248904168606,
    0.3644381873309612,
    0.36282438784837723,
    0.3697146512567997,
    0.406255210749805,
    0.4061684440821409,
    0.41787423752248287,
    0.41597801446914673,
    0.3391979895532131,
    0.2661404386162758,
    0.15813293773680925,
    0.02304285205900669,
    -0.04543538857251406,
    -0.08839105535298586,
    -0.11145008634775877,
    -0.12229800410568714,
    -0.19482719898223877,
    -0.24569617211818695,
    -0.23802694957703352,
    -0.11432262882590294,
    -0.005184367299079895,
    0.09156769327819347,
    0.1726122982800007,
    0.2518300376832485,
    0.3085307851433754,
    0.4050093488767743,
    0.43644716404378414,
    0.47376630175858736,
    0.45388124883174896,
    0.45803117472678423,
    0.40707909502089024,
    0.3708563297986984,
    0.35870259813964367,
    0.33397237956523895,
    0.31764335464686155,
    0.31494763493537903,
    0.25036225002259016,
    0.20600047335028648,
    0.1704725632444024,
    0.21526367496699095,
    0.40185481682419777,
    0.5245956303551793,
    0.646964693441987,
    0.6600318588316441,
    0.7149657318368554,
    0.7250288920477033,
    0.7116914447396994,
    0.6992422761395574,
    0.6825758563354611,
    0.6988255120813847,
    0.7055196054279804,
    0.7444288786500692,
    0.7839955072849989,
    0.8068900592625141,
    0.8221639366820455,
    0.8258092598989606,
    0.7806940171867609,
    0.7368153957650065,
    0.7539296727627516,
    0.7499537598341703,
    0.7556375991553068,
    0.7463946640491486,
    0.7295211460441351,
    0.730547808110714,
    0.7262289747595787,
    0.7379516884684563,
    0.7112417798489332,
    0.6600261852145195,
    0.618622881360352,
    0.5700538977980614,
    0.4939389871433377,
    0.4138199593871832,
    0.30109239649027586,
    0.16466275323182344,
    0.07721375394612551,
    0.055329225957393646,
    0.0393625870347023,
    0.10672902874648571,
    0.1822573896497488,
    0.22203149367123842,
    0.23383326083421707,
    0.25957678258419037,
    0.29037948697805405,
    0.33669662941247225,
    0.3664876027032733,
    0.38963488303124905,
    0.36523788422346115,
    0.34092801064252853,
    0.35434963554143906,
    0.35916972905397415,
    0.3766728099435568,
    0.3681364580988884,
    0.3414710462093353,
    0.30938100442290306,
    0.32831833977252245,
    0.3897013049572706,
    0.4582858067005873,
    0.49991456884890795,
    0.5127112548798323,
    0.5374755412340164,
    0.5368704330176115,
    0.5713752489537001,
    0.5796746294945478,
    0.5947012137621641,
    0.6091299317777157,
    0.6015362106263638,
    0.6163365803658962,
    0.5556760989129543,
    0.47154816798865795,
    0.34169462136924267,
    0.24028993770480156,
    0.20835373923182487,
    0.2079317383468151,
    0.2333268951624632,
    0.2659588437527418,
    0.3250072877854109,
    0.4129469823092222,
    0.44399379659444094,
    0.45607356540858746,
    0.4987096171826124,
    0.529917536303401,
    0.6033645253628492,
    0.6159922461956739,
    0.6359286438673735,
    0.6596466284245253,
    0.6406335812062025,
    0.5858951611444354,
    0.5603439509868622,
    0.49380269926041365,
    0.4339087903499603,
    0.334316317923367,
    0.20777846407145262,
    0.19529668800532818,
    0.17785273864865303,
    0.23188741598278284,
    0.27767610363662243,
    0.3265342665836215,
    0.354804259724915,
    0.39124324172735214,
    0.38662951719015837,
    0.38371228985488415,
    0.3204868882894516,
    0.2672908129170537,
    0.20312889479100704,
    0.1334729203954339,
    -0.011030326597392559,
    -0.14082612097263336,
    -0.18535045720636845,
    -0.12795490026474,
    -0.07149551063776016,
    -0.03977993316948414,
    -0.030707779340445995,
    -0.007338938303291798,
    0.07555264048278332,
    0.14777073729783297,
    0.20870329812169075,
    0.2349427528679371,
    0.22916818968951702,
    0.182821755297482,
    0.10655995085835457,
    0.05245675425976515,
    0.006185561418533325,
    -0.05483068525791168,
    -0.07772890478372574,
    -0.002763134427368641,
    0.036860570311546326,
    0.006271871738135815,
    0.00962275080382824,
    0.025930484756827354,
    0.0886582164093852,
    0.18068304099142551,
    0.27444716915488243,
    0.29765298776328564,
    0.3044699616730213,
    0.296955238096416,
    0.29610343649983406,
    0.21951233223080635,
    0.2076375726610422,
    0.18377527594566345,
    0.15968586783856153,
    0.0906098522245884,
    0.0649233041331172,
    0.045723654329776764,
    0.011276975274085999,
    0.050146281719207764,
    0.11927866376936436,
    0.14340579230338335,
    0.17386414110660553,
    0.24869299214333296,
    0.29030169919133186,
    0.3076104186475277,
    0.2926061498001218,
    0.24853176809847355,
    0.27649556193500757,
    0.25384002551436424,
    0.24694250524044037,
    0.22283211164176464,
    0.21113712899386883,
    0.20962413772940636,
    0.19754064083099365,
    0.15277756471186876,
    0.08774992264807224,
    0.07462409138679504,
    0.11255425028502941,
    0.2107741441577673,
    0.3126981882378459,
    0.3649763958528638,
    0.4122808203101158,
    0.46316634863615036,
    0.507999625056982,
    0.5590273858979344,
    0.5530216619372368,
    0.5329214744269848,
    0.5471218256279826,
    0.4924245700240135,
    0.4435400618240237,
    0.42937166802585125,
    0.4471818907186389,
    0.4625227600336075,
    0.4134875638410449,
    0.3671631757169962,
    0.3131945999339223,
    0.2337834183126688,
    0.19252371322363615,
    0.14603831805288792,
    0.12605559919029474,
    0.11139842495322227,
    0.13895469903945923,
    0.15836937818676233,
    0.2026741774752736,
    0.24119189847260714,
    0.2616308331489563,
    0.24885626137256622,
    0.2680636988952756,
    0.31586667336523533,
    0.3379817381501198,
    0.3764298567548394,
    0.3335850443691015,
    0.3153268853202462,
    0.29316932521760464,
    0.29406112153083086,
    0.2654505195096135,
    0.2492921082302928,
    0.2554005328565836,
    0.29222655296325684,
    0.3210292486473918,
    0.3080419506877661,
    0.3014715313911438,
    0.33775898814201355,
    0.33233144972473383,
    0.33606339525431395,
    0.3883630679920316,
    0.3913847031071782,
    0.42505632899701595,
    0.3999698320403695,
    0.40875954646617174,
    0.4185390183702111,
    0.45386324264109135,
    0.48196202237159014,
    0.46870303619652987,
    0.46387759130448103,
    0.41717787366360426,
    0.4597435873001814,
    0.465129510499537,
    0.46929086185991764,
    0.41603172942996025,
    0.432282742112875,
    0.43118671607226133,
    0.3897693185135722,
    0.2954915324226022,
    0.21319888066500425,
    0.22833730839192867,
    0.23168620560318232,
    0.23614810872823,
    0.23827238380908966,
    0.2563386894762516,
    0.24265236966311932,
    0.26520114950835705,
    0.28045542258769274,
    0.3019108148291707,
    0.31093141436576843,
    0.3074009967967868,
    0.2786406325176358,
    0.2381252609193325,
    0.11058295331895351,
    0.014670146629214287,
    -0.09027245175093412,
    -0.122060458175838,
    -0.1875358046963811,
    -0.16607766970992088,
    -0.14849095325917006,
    -0.02705615945160389,
    0.140331219881773,
    0.27627892419695854,
    0.3529968746006489,
    0.41091318894177675,
    0.4421563623473048,
    0.5036711795255542,
    0.5090173296630383,
    0.47034492902457714,
    0.38247777335345745,
    0.2904137820005417,
    0.2275333609431982,
    0.1517394632101059,
    0.13662613928318024,
    0.13626131415367126,
    0.13053433317691088,
    0.12240258138626814,
    0.20683443825691938,
    0.22483244817703962,
    0.27261409629136324,
    0.26283098477870226,
    0.26206846814602613,
    0.30100536812096834,
    0.27602963149547577,
    0.2432211386039853,
    0.2185091208666563,
    0.20750328432768583,
    0.1708437129855156,
    0.12807604391127825,
    0.12448927015066147,
    0.11735595390200615,
    0.18166464008390903,
    0.25978259183466434,
    0.3254925413057208,
    0.3358226530253887,
    0.3188970871269703,
    0.3159059975296259,
    0.3035897174850106,
    0.2547687813639641,
    0.20074872113764286,
    0.13212762773036957,
    0.10554331913590431,
    0.09869693964719772,
    0.17884831875562668,
    0.23101675789803267,
    0.2809356600046158,
    0.3506964445114136,
    0.37319148518145084,
    0.3793762745335698,
    0.4198819249868393,
    0.4349569706246257,
    0.3756329007446766,
    0.3264582259580493,
    0.2986955204978585,
    0.20935983397066593,
    0.1948716090992093,
    0.16971663665026426,
    0.2125522941350937,
    0.2544462475925684,
    0.27212129067629576,
    0.29057730454951525,
    0.3139429660513997,
    0.32215804792940617,
    0.31793296337127686,
    0.3609644519165158,
    0.3771285507827997,
    0.4272804753854871,
    0.40380041766911745,
    0.3525595888495445,
    0.3326949439942837,
    0.3467991463840008,
    0.3521910235285759,
    0.4007833395153284,
    0.3691295562312007,
    0.3487907312810421,
    0.3680908950045705,
    0.319501169025898,
    0.3285932345315814,
    0.37001016549766064,
    0.3964573945850134,
    0.4151501329615712,
    0.36484433338046074,
    0.2962257722392678,
    0.2330233883112669,
    0.12811558041721582,
    0.0820380849763751,
    0.013258347287774086,
    -0.018751081079244614,
    -0.02373686619102955,
    -0.05347025953233242,
    -0.09309848677366972,
    -0.09614119213074446,
    0.0018734084442257881,
    0.05034242570400238,
    0.01865790504962206,
    0.0345458434894681,
    0.12344218883663416,
    0.16282079368829727,
    0.221722099930048,
    0.2486437764018774,
    0.2954600350931287,
    0.24459199607372284,
    0.22371959406882524,
    0.21150020975619555,
    0.2475901423022151,
    0.28436907567083836,
    0.2969989627599716,
    0.27492766827344894,
    0.2139044553041458,
    0.17315407376736403,
    0.19703242182731628,
    0.20713159535080194,
    0.22742349933832884,
    0.24768169596791267,
    0.2725732745602727,
    0.3131652781739831,
    0.2676677592098713,
    0.2620676439255476,
    0.2905167378485203,
    0.29499673563987017,
    0.24778351187705994,
    0.20939681213349104,
    0.22545434162020683,
    0.2317489730194211,
    0.25191502273082733,
    0.2606906369328499,
    0.30165861640125513,
    0.3206290351226926,
    0.37268135882914066,
    0.43522715102881193,
    0.493660899810493,
    0.4922375539317727,
    0.494144544005394,
    0.5392935927957296,
    0.568551273085177,
    0.5390755133703351,
    0.46288664638996124,
    0.4202497974038124,
    0.36180958431214094,
    0.3550034146755934,
    0.25260014552623034,
    0.16601851303130388,
    0.11628517508506775,
    0.11487024649977684,
    0.11678426060825586,
    0.1476108292117715,
    0.18596572242677212,
    0.2533578844740987,
    0.2718088673427701,
    0.28554519545286894,
    0.2937155934050679,
    0.30727626383304596,
    0.32219421677291393,
    0.36748137045651674,
    0.40180214773863554,
    0.48395572043955326,
    0.4997922983020544,
    0.4853216456249356,
    0.4233851991593838,
    0.35510016418993473,
    0.3302557049319148,
    0.29640115331858397,
    0.3319457359611988,
    0.40428741555660963,
    0.45623913034796715,
    0.4734457414597273,
    0.45778913889080286,
    0.446877995505929,
    0.43213136959820986,
    0.3862449489533901,
    0.3187078479677439,
    0.2901468835771084,
    0.24975599069148302,
    0.2982131727039814,
    0.37982803117483854,
    0.406318262219429,
    0.4200247675180435,
    0.46371419727802277,
    0.5017381403595209,
    0.5534999938681722,
    0.5441791117191315,
    0.5176219372078776,
    0.48580841813236475,
    0.42382277082651854,
    0.4116706410422921,
    0.3954420695081353,
    0.4523518541827798,
    0.512065764516592,
    0.5332182049751282,
    0.5573809454217553,
    0.5409149052575231,
    0.5440081506967545,
    0.5275627858936787,
    0.5134140411391854,
    0.5042078737169504,
    0.4890938950702548,
    0.4425695789977908,
    0.46743687242269516,
    0.45458460971713066,
    0.47560687828809023,
    0.44383128080517054,
    0.4232890997081995,
    0.41879846435040236,
    0.4296626076102257,
    0.4223250951617956,
    0.42798022739589214,
    0.3974278224632144,
    0.36643462628126144,
    0.36417974065989256,
    0.39195458125323057,
    0.4178992314264178,
    0.47660347633063793,
    0.526291286572814,
    0.575293205678463,
    0.5247025303542614,
    0.42769452929496765,
    0.36866525933146477,
    0.2584009673446417,
    0.15461991261690855,
    0.048967824317514896,
    -0.008890505880117416,
    -0.037216486409306526,
    -0.07698620390146971,
    -0.1089701671153307,
    -0.19233802240341902,
    -0.21184248849749565,
    -0.11457492411136627,
    -0.03561192937195301,
    0.0026518115773797035,
    0.06932337675243616,
    0.11203558556735516,
    0.18724153190851212,
    0.2889396706596017,
    0.3362503554672003,
    0.39225970301777124,
    0.4132515788078308,
    0.39716067630797625,
    0.32293045800179243,
    0.2266276804730296,
    0.1426121834665537,
    0.12228274345397949,
    0.09610185492783785,
    0.08047715108841658,
    0.04975664895027876,
    0.11094093322753906,
    0.12328681442886591,
    0.10842439252883196,
    0.14116147253662348,
    0.15064429864287376,
    0.1580473156645894,
    0.16287069395184517,
    0.2512596370652318,
    0.29344542417675257,
    0.3709149416536093,
    0.3847476001828909,
    0.41213241685181856,
    0.4122507767751813,
    0.3919734237715602,
    0.3501787902787328,
    0.38128795474767685,
    0.4356712521985173,
    0.434786781668663,
    0.4197523593902588,
    0.42668685130774975,
    0.40297223068773746,
    0.38492531049996614,
    0.38437587954103947,
    0.3683128459379077,
    0.341609719209373,
    0.2580635407939553,
    0.23733819741755724,
    0.2800449188798666,
    0.3045189091935754,
    0.3130304114893079,
    0.2912791818380356,
    0.3565108273178339,
    0.390289556235075,
    0.4665971975773573,
    0.4594905795529485,
    0.3894478352740407,
    0.3448173627257347,
    0.3320164605975151,
    0.3530493173748255,
    0.35042570624500513,
    0.3725925739854574,
    0.4088305961340666,
    0.4380794810131192,
    0.40102018788456917,
    0.3746755449101329,
    0.35254963859915733,
    0.3295317115262151,
    0.36095272097736597,
    0.3660058928653598,
    0.3577909264713526,
    0.3394454997032881,
    0.3762412890791893,
    0.39139972254633904,
    0.42252925503998995,
    0.4316834285855293,
    0.43634353298693895,
    0.47487547993659973,
    0.4469986520707607,
    0.46099666226655245,
    0.40947294794023037,
    0.3532715542241931,
    0.2704598940908909,
    0.14731552824378014,
    0.09195888787508011,
    0.012391043826937675,
    -0.043132346123456955,
    -0.08018367178738117,
    -0.054708050563931465,
    -0.03326269704848528,
    -0.045555408112704754,
    -0.03402872662991285,
    0.04152810666710138,
    0.1293105073273182,
    0.2238374100998044,
    0.2933173440396786,
    0.2979019992053509,
    0.30505189672112465,
    0.2865729732438922,
    0.23729246947914362,
    0.19680994283407927,
    0.15530171431601048,
    0.11974139511585236,
    0.03778977971524,
    0.001067579723894596,
    0.007904085330665112,
    0.02502371370792389,
    0.05512632429599762,
    0.14288675785064697,
    0.21466504968702793,
    0.24551681894809008,
    0.25144220888614655,
    0.24513833969831467,
    0.21410788968205452,
    0.1818261407315731,
    0.19994123373180628,
    0.21990949846804142,
    0.2322023967280984,
    0.20553481206297874,
    0.21973459422588348,
    0.22875226754695177,
    0.2394224749878049,
    0.20879602432250977,
    0.21581800002604723,
    0.18939521349966526,
    0.1751684546470642,
    0.21269567124545574,
    0.25212121568620205,
    0.3573419712483883,
    0.43013953138142824,
    0.47704586386680603,
    0.5291874930262566,
    0.5559421740472317,
    0.5815772395581007,
    0.6177935330197215,
    0.561954265460372,
    0.5081083122640848,
    0.50364291947335,
    0.4371432140469551,
    0.4160154266282916,
    0.40905958227813244,
    0.4380218293517828,
    0.42606645822525024,
    0.37308370508253574,
    0.32865719497203827,
    0.29183646757155657,
    0.24472402967512608,
    0.2146221799775958,
    0.2106421748176217,
    0.22167368326336145,
    0.29360431246459484,
    0.3330329656600952,
    0.30699916183948517,
    0.30420991498976946,
    0.3185754166916013,
    0.3314970135688782,
    0.337712187319994,
    0.3767427960410714,
    0.4488772116601467,
    0.46834755688905716,
    0.4798013577237725,
    0.4370945021510124,
    0.3603938715532422,
    0.25258626602590084,
    0.19920474011451006,
    0.15930564422160387,
    0.1551543502137065,
    0.20878982171416283,
    0.3264698162674904,
    0.4713000664487481,
    0.5386340180411935,
    0.6096722483634949,
    0.659844976849854,
    0.6832527378574014,
    0.637390311807394,
    0.558343667536974,
    0.5184520613402128,
    0.4758061394095421,
    0.45233938470482826,
    0.4718737881630659,
    0.5079157510772347,
    0.5177248874679208,
    0.48182159941643476,
    0.4500880064442754,
    0.4552874658256769,
    0.48152399342507124,
    0.48073860816657543,
    0.47208882588893175,
    0.4915540795773268,
    0.47742729913443327,
    0.49721613992005587,
    0.5033599538728595,
    0.4889529990032315,
    0.4393687853589654,
    0.4182427227497101,
    0.39910427294671535,
    0.3849252322688699,
    0.33700035978108644,
    0.23935453221201897,
    0.1793492930009961,
    0.13341372460126877,
    0.08447780460119247,
    0.08799782209098339,
    0.12019014079123735,
    0.15500034391880035,
    0.15201938711106777,
    0.13125211466103792,
    0.17243152670562267,
    0.24849199317395687,
    0.36373712588101625,
    0.44369400572031736,
    0.5095817111432552,
    0.538416339084506,
    0.5922981724143028,
    0.640581963583827,
    0.623540174216032,
    0.6066240463405848,
    0.571100115776062,
    0.4965601684525609,
    0.4069764222949743,
    0.3513983450829983,
    0.2744622491300106,
    0.20330882351845503,
    0.19994704518467188,
    0.16099239513278008,
    0.1589241586625576,
    0.14664410334080458,
    0.09404191374778748,
    0.08257405180484056,
    0.08415382634848356,
    0.08095036540180445,
    0.08195243589580059,
    0.14334227237850428,
    0.21000851690769196,
    0.26157300639897585,
    0.29009540006518364,
    0.29915034398436546,
    0.32116004079580307,
    0.2867281185463071,
    0.2199239581823349,
    0.14818501193076372,
    0.09250504150986671,
    0.061680075712502,
    0.05081175360828638,
    0.1024974100291729,
    0.13903664983808994,
    0.13174060359597206,
    0.08597070910036564,
    0.0868624597787857,
    0.06982174795120955,
    0.055778016336262226,
    0.08809788525104523,
    0.10368406493216753,
    0.12281027063727379,
    0.16159730032086372,
    0.22456137370318174,
    0.25245226733386517,
    0.2962816059589386,
    0.33680452685803175,
    0.3740438977256417,
    0.41558897588402033,
    0.49244155269116163,
    0.5548745952546597,
    0.5542460046708584,
    0.5342380292713642,
    0.4957866333425045,
    0.42173098400235176,
    0.34201630391180515,
    0.2699421588331461,
    0.1965334713459015,
    0.17626512795686722,
    0.20362056512385607,
    0.288193978369236,
    0.3829171182587743,
    0.40723712742328644,
    0.44356055557727814,
    0.4621967915445566,
    0.48477787990123034,
    0.4630424343049526,
    0.4200719054788351,
    0.3787408322095871,
    0.2997466726228595,
    0.263014511205256,
    0.24915748368948698,
    0.24412154126912355,
    0.14924560580402613,
    0.07200202345848083,
    0.031487924978137016,
    0.036100042052567005,
    -0.017090830020606518,
    -0.040520982816815376,
    0.04584096930921078,
    0.036577966064214706,
    0.11292030662298203,
    0.17470342479646206,
    0.30440825317054987,
    0.3422502288594842,
    0.3392372773960233,
    0.3315732153132558,
    0.30154746398329735,
    0.31419831793755293,
    0.30689757131040096,
    0.25116682052612305,
    0.24617186933755875,
    0.2771319206804037,
    0.28065231442451477,
    0.26152349542826414,
    0.25486451014876366,
    0.29803227446973324,
    0.3529393970966339,
    0.3336079679429531,
    0.34250371530652046,
    0.3365036677569151,
    0.32023815624415874,
    0.3098318977281451,
    0.2523834966123104,
    0.17010987177491188,
    0.11995995044708252,
    0.06375053524971008,
    0.0035510705783963203,
    0.018362787552177906,
    0.01012049987912178,
    -0.019325390458106995,
    -0.06798271741718054,
    -0.05945624317973852,
    -0.07104333490133286,
    -0.13880416005849838,
    -0.1359500279650092,
    -0.07583382911980152,
    0.056215155869722366,
    0.21132079232484102,
    0.318877961486578,
    0.3861473184078932,
    0.4288956271484494,
    0.41072177328169346,
    0.39696380868554115,
    0.3697380581870675,
    0.27524622716009617,
    0.18974360823631287,
    0.052364167757332325,
    0.08238177374005318,
    0.08589598909020424,
    0.1210031509399414,
    0.2515600323677063,
    0.41338157653808594,
    0.5023855958133936,
    0.5602660747244954,
    0.5929936282336712,
    0.6199952689930797,
    0.6341239670291543,
    0.6552316648885608,
    0.6829226361587644,
    0.6467907521873713,
    0.6051698820665479,
    0.5554484091699123,
    0.5131236910820007,
    0.5005899975076318,
    0.47887526731938124,
    0.43151766061782837,
    0.3866581432521343,
    0.3850878123193979,
    0.4297496657818556,
    0.477586654946208,
    0.5247260378673673,
    0.5658501787111163,
    0.5955535965040326,
    0.5941031398251653,
    0.6119350716471672,
    0.5840174183249474,
    0.5552476420998573,
    0.5266273021697998,
    0.5011089500039816,
    0.5392880393192172,
    0.5357736926525831,
    0.5347291138023138,
    0.531532583758235,
    0.518444905988872,
    0.47964108269661665,
    0.4132401021197438,
    0.3534281197935343,
    0.3106275303289294,
    0.3014225820079446,
    0.24673636723309755,
    0.24685627035796642,
    0.19483059737831354,
    0.15866390336304903,
    0.22547658998519182,
    0.3436847487464547,
    0.45447486639022827,
    0.5232833651825786,
    0.597370664589107,
    0.6904718074947596,
    0.7692289724946022,
    0.7745850430801511,
    0.7080191280692816,
    0.6649154582992196,
    0.5650589223951101,
    0.4490353027358651,
    0.3235444249585271,
    0.1979103535413742,
    0.1303363787010312,
    0.15488076210021973,
    0.18071812018752098,
    0.2596589531749487,
    0.26342816930264235,
    0.33124187402427197,
    0.3842777768149972,
    0.3456534845754504,
    0.3404136197641492,
    0.34633749537169933,
    0.4135442581027746,
    0.4499593237414956,
    0.47238260973244905,
    0.5178326265886426,
    0.4853728488087654,
    0.466628554277122,
    0.39504814613610506,
    0.354731353931129,
    0.2994431350380182,
    0.3251151889562607,
    0.29776327032595873,
    0.3241082774475217,
    0.3362199757248163,
    0.3678455399349332,
    0.3861309392377734,
    0.40925225242972374,
    0.411674153059721,
    0.38367240130901337,
    0.4180009486153722,
    0.4230474689975381,
    0.4442179100587964,
    0.5357331894338131,
    0.6286200387403369,
    0.6334561314433813,
    0.5794380977749825,
    0.5501151382923126,
    0.5047497525811195,
    0.4421592429280281,
    0.3880352471023798,
    0.3682563351467252,
    0.3642822690308094,
    0.34267132077366114,
    0.3802416902035475,
    0.3749742554500699,
    0.41659380588680506,
    0.3673279881477356,
    0.3361755348742008,
    0.3509603152051568,
    0.35135136265307665,
    0.3878884445875883,
    0.3736020755022764,
    0.3315111678093672,
    0.2618644433096051,
    0.17951146233826876,
    0.1361949574202299,
    0.1725751468911767,
    0.19504266418516636,
    0.2893803082406521,
    0.3759434334933758,
    0.4047287795692682,
    0.4305073209106922,
    0.4099888652563095,
    0.3774714954197407,
    0.3096849098801613,
    0.21813836134970188,
    0.15291764959692955,
    0.06025492865592241,
    0.019969389773905277,
    0.05261202622205019,
    0.07971271872520447,
    0.13818366825580597,
    0.2496577650308609,
    0.36407078243792057,
    0.4731110455468297,
    0.5732412338256836,
    0.6139296619221568,
    0.5989208407700062,
    0.5336069567129016,
    0.5351671734824777,
    0.4886016855016351,
    0.45570133719593287,
    0.4138784809038043,
    0.38553600013256073,
    0.33111236803233624,
    0.2825145451352,
    0.22602048516273499,
    0.15139050502330065,
    0.06735317036509514,
    0.06656253337860107,
    0.07012319006025791,
    0.07451540697365999,
    0.1476232260465622,
    0.16545595694333315,
    0.1598828211426735,
    0.22914038132876158,
    0.34956225380301476,
    0.4212471842765808,
    0.5001207021996379,
    0.48075483832508326,
    0.45190447848290205,
    0.4512755051255226,
    0.4260996235534549,
    0.4560061674565077,
    0.4405744578689337,
    0.4261552421376109,
    0.41961080115288496,
    0.38967340625822544,
    0.40617492515593767,
    0.33903383649885654,
    0.30102680157870054,
    0.2615001229569316,
    0.24161408375948668,
    0.2204212574288249,
    0.20431136805564165,
    0.15162319410592318,
    0.09970294404774904,
    0.04111331328749657,
    0.1166136460378766,
    0.10105174779891968,
    0.08224121946841478,
    0.08146755862981081,
    0.1411870727315545,
    0.1516403630375862,
    0.15728714037686586,
    0.1346025075763464,
    0.13174696639180183,
    0.09790004882961512,
    0.0753049673512578,
    0.01544798631221056,
    0.02330805640667677,
    0.07019516080617905,
    0.11094211041927338,
    0.1871082941070199,
    0.24352438282221556,
    0.31345226150006056,
    0.3623981475830078,
    0.42218196485191584,
    0.4325961144641042,
    0.4236619221046567,
    0.37704579159617424,
    0.38588013872504234,
    0.3342503793537617,
    0.3583361925557256,
    0.32266031578183174,
    0.2934587374329567,
    0.23394196946173906,
    0.1789931980893016,
    0.14607734605669975,
    0.11134797893464565,
    0.08366930205374956,
    0.07958769612014294,
    0.09962735511362553,
    0.1401142878457904,
    0.23279048223048449,
    0.3081094427034259,
    0.3834442151710391,
    0.41796706710010767,
    0.3929528119042516,
    0.34482565615326166,
    0.29569339845329523,
    0.2992639737203717,
    0.2736578397452831,
    0.26126376539468765,
    0.2044544331729412,
    0.2133187185972929,
    0.2554911971092224,
    0.27776109892874956,
    0.29580046236515045,
    0.3045156104490161,
    0.2683164272457361,
    0.26187052205204964,
    0.29231168888509274,
    0.3726611705496907,
    0.40112949442118406,
    0.41389745473861694,
    0.3943350473418832,
    0.35372036695480347,
    0.23515919130295515,
    0.1687768278643489,
    0.060548312962055206,
    -0.0168045898899436,
    -0.014613746665418148,
    0.006051701493561268,
    0.06618714146316051,
    0.1521443771198392,
    0.2789205890148878,
    0.3935392778366804,
    0.4843017552047968,
    0.5444349143654108,
    0.6158846579492092,
    0.6647663246840239,
    0.6938823917880654,
    0.6597541756927967,
    0.5715782204642892,
    0.4661473911255598,
    0.36581685580313206,
    0.30429914593696594,
    0.31031236331909895,
    0.3160835951566696,
    0.3774039149284363,
    0.44341963343322277,
    0.4596774224191904,
    0.4340725149959326,
    0.42862546257674694,
    0.41285196226090193,
    0.4275301583111286,
    0.4081079373136163,
    0.4452240811660886,
    0.5207760790362954,
    0.5131806777790189,
    0.5321004372090101,
    0.4848765879869461,
    0.41525485180318356,
    0.32430169731378555,
    0.24668973963707685,
    0.16579720936715603,
    0.06363218650221825,
    0.01208823174238205,
    0.04891300015151501,
    0.11937327217310667,
    0.23065478075295687,
    0.29385620821267366,
    0.35854448191821575,
    0.3967457739636302,
    0.448146041482687,
    0.5340888313949108,
    0.5380623396486044,
    0.5518925441429019,
    0.4730543401092291,
    0.40909986197948456,
    0.35640799533575773,
    0.3769021388143301,
    0.4135247692465782,
    0.4570944756269455,
    0.41185622848570347,
    0.36097716726362705,
    0.3513350756838918,
    0.3539158646017313,
    0.374284784309566,
    0.3319926541298628,
    0.3839415116235614,
    0.4141466738656163,
    0.40922511741518974,
    0.3825045386329293,
    0.35403160378336906,
    0.31334442365914583,
    0.3324790745973587,
    0.3820673795416951,
    0.44139438960701227,
    0.4620363861322403,
    0.4201989434659481,
    0.4275189833715558,
    0.3657031813636422,
    0.358417097479105,
    0.34458380937576294,
    0.35045179445296526,
    0.31924371886998415,
    0.3231249451637268,
    0.304127698764205,
    0.34211607091128826,
    0.34945882577449083,
    0.360767325386405,
    0.3843253804370761,
    0.40753711853176355,
    0.38836884777992964,
    0.36951472610235214,
    0.2910957392305136,
    0.302394388243556,
    0.32025878597050905,
    0.3195910304784775,
    0.32170018646866083,
    0.3077343078330159,
    0.3425442762672901,
    0.38071831315755844,
    0.4291794989258051,
    0.45855645928531885,
    0.5123895052820444,
    0.5403469959273934,
    0.5980407986789942,
    0.6222038250416517,
    0.5870545851066709,
    0.5199558418244123,
    0.44863471016287804,
    0.43139082193374634,
    0.394900712184608,
    0.34793253615498543,
    0.2742718569934368,
    0.2619657916948199,
    0.24577052425593138,
    0.2111032335087657,
    0.18596522603183985,
    0.1620119186118245,
    0.1635669032111764,
    0.18203030992299318,
    0.23124769423156977,
    0.31942376773804426,
    0.4087753491476178,
    0.45665014535188675,
    0.48408634029328823,
    0.5102036073803902,
    0.5026852693408728,
    0.5021277591586113,
    0.4758300594985485,
    0.40737591218203306,
    0.3626181110739708,
    0.254914004355669,
    0.17710749339312315,
    0.18394779972732067,
    0.18887384608387947,
    0.177340904250741,
    0.19196655601263046,
    0.2279703114181757,
    0.19210864044725895,
    0.1872942429035902,
    0.12536675855517387,
    0.048503617756068707,
    0.024287298321723938,
    0.003132786601781845,
    -0.024760611355304718,
    -0.05198259279131889,
    0.009071285836398602,
    0.023668687790632248,
    -0.013976688496768475,
    0.013560239225625992,
    0.030250760726630688,
    0.10481050983071327,
    0.20431909710168839,
    0.26586852595210075,
    0.29009522311389446,
    0.3008391596376896,
    0.30768121872097254,
    0.31623074784874916,
    0.28214835561811924,
    0.23525306023657322,
    0.16566017270088196,
    0.04424078390002251,
    0.03318092040717602,
    0.058015781454741955,
    0.08464246988296509,
    0.11040885746479034,
    0.2334410548210144,
    0.3445324543863535,
    0.42975733894854784,
    0.5038865953683853,
    0.5755851594731212,
    0.5965417809784412,
    0.5781492097303271,
    0.5517308004200459,
    0.4707020614296198,
    0.44330130610615015,
    0.40622059535235167,
    0.3580009788274765,
    0.3078744113445282,
    0.2502491055056453,
    0.21886736154556274,
    0.15414745826274157,
    0.16407794691622257,
    0.23118263483047485,
    0.34317972511053085,
    0.43427680991590023,
    0.48947405628859997,
    0.5142969684675336,
    0.5550527796149254,
    0.5764837963506579,
    0.6089075431227684,
    0.5998650239780545,
    0.5963499452918768,
    0.573502498678863,
    0.5396869825199246,
    0.5015142513439059,
    0.4564932566136122,
    0.4406475778669119,
    0.41865065693855286,
    0.36784880980849266,
    0.3301382753998041,
    0.31407025177031755,
    0.2886755373328924,
    0.21153161954134703,
    0.15179432462900877,
    0.14100103545933962,
    0.17840722016990185,
    0.1926980707794428,
    0.14691794384270906,
    0.11955736391246319,
    0.1626661317422986,
    0.18904726207256317,
    0.19760721735656261,
    0.19965279567986727,
    0.2692250069230795,
    0.270530067384243,
    0.2652137614786625,
    0.23309453390538692,
    0.18328962195664644,
    0.09329606406390667,
    0.04220306593924761,
    -0.028788256458938122,
    -0.04568331316113472,
    0.009583290666341782,
    0.06390832364559174,
    0.1138785146176815,
    0.14171154890209436,
    0.20483387634158134,
    0.2425323873758316,
    0.2908414462581277,
    0.2956598149612546,
    0.26912935450673103,
    0.2206294070929289,
    0.22787225991487503,
    0.22526072338223457,
    0.24831411056220531,
    0.289637241512537,
    0.3006517980247736,
    0.2638181773945689,
    0.18071883358061314,
    0.19360513612627983,
    0.1588494125753641,
    0.12355534732341766,
    0.10490863397717476,
    0.10176937282085419,
    0.08836873807013035,
    0.14180174563080072,
    0.16949571203440428,
    0.1971116391941905,
    0.17764997575432062,
    0.174298495054245,
    0.24304827116429806,
    0.2972867200151086,
    0.29194452334195375
  ],
  "earlyFolding": [
    0.013679999333135013,
    0.017402247020238657,
    0.014896079427619778,
    0.014649286740255892,
    0.01457662738633882,
    0.016242058571422448,
    0.01904477190794455,
    0.02215487179204171,
    0.01966574163916332,
    0.014850923298903194,
    0.012090407637011684,
    0.01369520463024525,
    0.02184356812286144,
    0.026522679506324594,
    0.045678716084821984,
    0.07035278327613141,
    0.08054925363901971,
    0.10902123142282122,
    0.11971952857277436,
    0.1104004230434346,
    0.13003192273971817,
    0.14341386925436786,
    0.17610044611437445,
    0.14239909807858203,
    0.0723996209097347,
    0.04420240915709162,
    0.038163495697554596,
    0.02665316748011165,
    0.008902482647455408,
    0.005221601016457024,
    0.004320445247703199,
    0.005221314624190153,
    0.007859568544654479,
    0.009952127883174622,
    0.013299896835378713,
    0.025139980488168127,
    0.05264281442475566,
    0.06701188251396287,
    0.12385611238395203,
    0.12132299273620321,
    0.07955338686314006,
    0.09155867036584682,
    0.0935936736664021,
    0.12908473007742033,
    0.14622427529287352,
    0.14841709133093006,
    0.27904669601434934,
    0.2799852348697655,
    0.11372780956890656,
    0.06133714044152076,
    0.040739788271623195,
    0.02490507730699048,
    0.0171961083488268,
    0.021187588842904465,
    0.017455922675530075,
    0.012323300477235673,
    0.013861620981216946,
    0.010822225289116524,
    0.00927171407298001,
    0.008997926221331538,
    0.019797096978639416,
    0.07987889122835787,
    0.1992533469978379,
    0.37739924647652895,
    0.426130998393371,
    0.35380245997900023,
    0.21628577202627738,
    0.14721569584531616,
    0.056152512899933865,
    0.009419676457530888,
    0.007613404945630246,
    0.01148920696798902,
    0.010777166125880797,
    0.012754505003114891,
    0.012008553623672142,
    0.012120861138953637,
    0.023848872150612165,
    0.03262653299840299,
    0.035982046668467035,
    0.03115107135949316,
    0.015516545198388566,
    0.009056801820491282,
    0.012890329893899927,
    0.009110472955217674,
    0.00966177800331084,
    0.019246342933954712,
    0.026293682892388294,
    0.010790014508868894,
    0.005732848395002261,
    0.011036384227089331,
    0.022469081537916442,
    0.03318393045715345,
    0.044787203250231875,
    0.1389046237752162,
    0.26411017909953244,
    0.23027525449627895,
    0.19616653918030988,
    0.07069222282925952,
    0.030566483263813716,
    0.01455766757852464,
    0.012795249395370854,
    0.03238413770153973,
    0.0890133778446449,
    0.1710540213752035,
    0.28201880914472444,
    0.29039602815250243,
    0.24492335944579702,
    0.24512071825568182,
    0.20210539130514898,
    0.143359047470905,
    0.07523050575079498,
    0.054981173056669386,
    0.016860751672828366,
    0.008793720328613575,
    0.010596302544725959,
    0.011845918324720943,
    0.015184403098719261,
    0.016424321863921378,
    0.024542448158555035,
    0.03703671414636907,
    0.0833785960936116,
    0.14407897221275717,
    0.1584449511369205,
    0.12869735745393693,
    0.21505393711448775,
    0.3612672260817209,
    0.2901080809762732,
    0.20847169734337692,
    0.11508338631491209,
    0.04505685646309434,
    0.03080507086028054,
    0.019971160215813397,
    0.013606916147116352,
    0.020086960768121335,
    0.05505271667745651,
    0.10950437702386125,
    0.15682965991211822,
    0.2578011557442332,
    0.25221011726209974,
    0.15285157530334426,
    0.09424194872338806,
    0.06247574799239066,
    0.029939498562796596,
    0.027569948929014255,
    0.07113708329120155,
    0.12680997685721707,
    0.08007587299024252,
    0.0431757703524976,
    0.037445475447419094,
    0.018584802509322887,
    0.02036398549321527,
    0.01606174870429419,
    0.01568789033423551,
    0.028192678119593327,
    0.09273690159734153,
    0.1527340443479356,
    0.10124596165001454,
    0.09174064237765053,
    0.14635312878058532,
    0.14912619108355302,
    0.10288682366959195,
    0.07804325720716171,
    0.06407926109557803,
    0.03605335661987532,
    0.020975407954802634,
    0.012662323213885981,
    0.007325198911031129,
    0.012919010400160061,
    0.013009048407068428,
    0.0037490475280406417,
    0.004998883934688945,
    0.009833548891579376,
    0.016770179693096406,
    0.052666823141233825,
    0.09379670986483388,
    0.14950447392150198,
    0.13982137886787943,
    0.12743575225081882,
    0.126734074974715,
    0.08490133136534837,
    0.05041862100461899,
    0.027124042471695597,
    0.04657981251096317,
    0.061778350487234374,
    0.026933862203017564,
    0.016219841225643645,
    0.013425163512015071,
    0.008691199656492316,
    0.010542381236866157,
    0.026228206265719298,
    0.06867125716924811,
    0.19360368429443683,
    0.43661806843947537,
    0.4299678183180611,
    0.31673057551749734,
    0.2056139142505476,
    0.15793539714574933,
    0.06398820153416059,
    0.019198491353240983,
    0.02407902157363723,
    0.014721036809929273,
    0.004386619867524599,
    0.008832489519094048,
    0.015721326076257546,
    0.012930782598550116,
    0.01821146751008705,
    0.02771221239625224,
    0.030381302836080145,
    0.015709405750248966,
    0.018750055474787527,
    0.014164089839064609,
    0.00954821480560401,
    0.008421885223434929,
    0.014997590202059333,
    0.01874502292273178,
    0.009764684572761272,
    0.007296133120556932,
    0.01008422695819105,
    0.015829571803850594,
    0.015546203305478592,
    0.01870392057031058,
    0.04056594879790035,
    0.12491920361848352,
    0.1791736552721495,
    0.1033083939374577,
    0.033880943396948714,
    0.026102039905122016,
    0.011008430120308532,
    0.005281974027090934,
    0.010695334246634224,
    0.02385610925449547,
    0.0334745016550081,
    0.06321493792585182,
    0.10147602238154779,
    0.09083401816237907,
    0.08643049086591581,
    0.06012644716591479,
    0.03500252549268707,
    0.025578667222583017,
    0.015333517952263462,
    0.007150267548802182,
    0.0030174013838631946,
    0.0014390232252886501,
    0.002087498130722035,
    0.003068930422957559,
    0.0034516731193980693,
    0.005117514542347866,
    0.008788095190053283,
    0.026583127305533603,
    0.05988654548593916,
    0.08006313711274393,
    0.09989450988478969,
    0.11613713200253885,
    0.17413062477779637,
    0.2325324970804646,
    0.19891367405592608,
    0.094870704459489,
    0.056010698945452936,
    0.04612162045081082,
    0.021289093587143454,
    0.016224430297104794,
    0.01880230347509542,
    0.023003063740777215,
    0.030433511925431908,
    0.04677070299646024,
    0.04207422472829668,
    0.05687319442091359,
    0.060188337933855,
    0.054079313861814034,
    0.04215554839020627,
    0.05938534985534607,
    0.14860355148975235,
    0.17683765652841385,
    0.13656120928523877,
    0.11859985747823244,
    0.05669304557806175,
    0.022784898752715516,
    0.010259965470461508,
    0.010945332599133599,
    0.019363531781823793,
    0.02762173950042536,
    0.07404295070817121,
    0.11692065170135262,
    0.10866340526435284,
    0.14965505965286918,
    0.2137073940467873,
    0.136533203569248,
    0.05731265083112824,
    0.02497604137833463,
    0.013833145948970442,
    0.011118151292568825,
    0.008281215069567542,
    0.018193143069369238,
    0.05381000787319268,
    0.09578559625260594,
    0.21573696207616785,
    0.34717359525777997,
    0.41523762589403984,
    0.5855514082133612,
    0.6731758266353514,
    0.5626170239422075,
    0.36893240410353056,
    0.2369182424968729,
    0.14285892208439935,
    0.07059409945268541,
    0.03624650549217158,
    0.05232365810078501,
    0.035444095810122915,
    0.018832855143433795,
    0.02040578210492423,
    0.023213628805300732,
    0.02639776761139535,
    0.02716766882529527,
    0.04857632054115107,
    0.088527246884083,
    0.21328862157614506,
    0.4231980178277509,
    0.46283602987763134,
    0.39245420564552186,
    0.24367271059357123,
    0.17142059155440684,
    0.10282922705158244,
    0.04369487243626326,
    0.015903181678001598,
    0.014155883235867068,
    0.01014194848396324,
    0.004453756273483224,
    0.006861524329839029,
    0.01670430140109048,
    0.030121783667234656,
    0.05284206526609765,
    0.10350366283766248,
    0.15550829906573246,
    0.08642715554047806,
    0.03381773426365273,
    0.041093039570421014,
    0.04889306683185542,
    0.04987597657843329,
    0.04777948021067572,
    0.015528999381715857,
    0.013138109708553572,
    0.022268326917008384,
    0.023581602924540996,
    0.03376625653383461,
    0.03621979551769259,
    0.045632855080032106,
    0.09341335408310622,
    0.1317009810694526,
    0.18201300460376316,
    0.18464107365101662,
    0.22090455534205738,
    0.2753494846980705,
    0.2680772265987205,
    0.19697744767276928,
    0.12450614364870201,
    0.06318903919102556,
    0.04176372186485886,
    0.04772713142406195,
    0.05794193358254028,
    0.05440348020016666,
    0.07923566114788992,
    0.07610010324762992,
    0.05426243504570505,
    0.0315897821750907,
    0.02429817141860621,
    0.022206961009019394,
    0.0235029996763167,
    0.04121354151729052,
    0.045929486590537194,
    0.040555361265930456,
    0.029184597308972347,
    0.01723594977202851,
    0.028159761924270135,
    0.07582661424252413,
    0.17986467290274805,
    0.2779940192309794,
    0.24814538673205497,
    0.297007812993354,
    0.5142289674729916,
    0.5853370404578457,
    0.5539204216450357,
    0.5555941255297272,
    0.5226751677522564,
    0.2234586248893196,
    0.07728803419501241,
    0.05285915367725487,
    0.0486068025938377,
    0.06376290388335874,
    0.05206317682263582,
    0.05157244323032592,
    0.09115233235096405,
    0.10842753187634141,
    0.06380118482977085,
    0.054595696190634056,
    0.022853220952917638,
    0.02244072353104301,
    0.03472642093045969,
    0.04265965447212088,
    0.047632579431145905,
    0.06499779381066938,
    0.07762521913328706,
    0.0552117521401183,
    0.03750378354104499,
    0.026488599407022674,
    0.04465245885546483,
    0.07964536003697474,
    0.10786264906978285,
    0.08198097534329464,
    0.07289197071162389,
    0.08224436294616883,
    0.11225278557297122,
    0.10113854654909947,
    0.09388965203794686,
    0.1809926579277112,
    0.222052994051696,
    0.2055107039487411,
    0.17632795471809062,
    0.1153765495362447,
    0.08380254432776371,
    0.060679593350384274,
    0.061877909107416654,
    0.09127778438433523,
    0.04996775210430016,
    0.029484991843014903,
    0.03771147287473405,
    0.03193681346971035,
    0.039812991062540576,
    0.06835687911697867,
    0.14986615568242564,
    0.20746700082733865,
    0.21721418724259514,
    0.22169596557527596,
    0.17083849247068095,
    0.13182528335307755,
    0.10590847475157869,
    0.15625702884436796,
    0.09937519549568236,
    0.03755283494501775,
    0.026706469395423968,
    0.013000325265261625,
    0.005826643554629855,
    0.006478846503155945,
    0.014853571996590322,
    0.034924373370691535,
    0.10148446238351916,
    0.25008143497873114,
    0.379820287070149,
    0.2611678984941561,
    0.21242377879918156,
    0.15525468762511851,
    0.05133171328292895,
    0.008979171923863409,
    0.00620756211727175,
    0.008856494265889175,
    0.010648951160785017,
    0.020938762238926698,
    0.02318200811607824,
    0.03821511030800488,
    0.12528768461353187,
    0.15804691588898734,
    0.07594134514389818,
    0.03408705115197899,
    0.01589891634801617,
    0.00986553756198269,
    0.008732513082033643,
    0.012408959109825543,
    0.062003919820738364,
    0.11393629968896196,
    0.05816655194281259,
    0.03250045906716192,
    0.03940088997633497,
    0.07193067180427032,
    0.11356759733429522,
    0.07766707535673814,
    0.1019991653717542,
    0.17470400464665367,
    0.15594245569025159,
    0.15989571918025455,
    0.11886635424599991,
    0.08706989725582671,
    0.03309250163390455,
    0.008495371984777607,
    0.01469390728909275,
    0.026496217465393098,
    0.0277679485071395,
    0.07749972503967278,
    0.18612017947126827,
    0.18214797935882537,
    0.2148754683979687,
    0.15396651398093972,
    0.10965493438392991,
    0.1454260671067494,
    0.07748185234321155,
    0.026075772680002746,
    0.01107954232727348,
    0.005634646312882172,
    0.004122311018294979,
    0.003126561409320111,
    0.0017513000096213093,
    0.0017973245572261052,
    0.0024587419355086544,
    0.007013681648183346,
    0.016015863280448298,
    0.03288296970342372,
    0.04039273044925069,
    0.04751986259195089,
    0.06253462360830589,
    0.07444730099961556,
    0.06509549417325582,
    0.05097472285597708,
    0.039715590524632326,
    0.03015261160630878,
    0.02694552194518542,
    0.021275830259279552,
    0.019880203679601773,
    0.01586890045211084,
    0.016252457830329168,
    0.03208111633076459,
    0.037124117343178054,
    0.042710644188505786,
    0.05276273697814372,
    0.07532786412181608,
    0.046768840940293446,
    0.03530976272020868,
    0.06993292787336644,
    0.07110555881025149,
    0.02180239073177646,
    0.02650806951906719,
    0.025450496462765742,
    0.013052278808866197,
    0.00823184679356277,
    0.009868937764164181,
    0.01850889248366212,
    0.037223856034107966,
    0.1055781844982736,
    0.20359883279541122,
    0.12435639423887526,
    0.06621044795011397,
    0.0588696361109681,
    0.03706567169710415,
    0.011631688820038249,
    0.004566167726613262,
    0.006947345428611949,
    0.0142083473777548,
    0.019065317212793156,
    0.03241792100489488,
    0.037768980446363294,
    0.04800751165667695,
    0.06643105265927768,
    0.04495951003925188,
    0.019100458328408555,
    0.018956660931574134,
    0.024506717903762645,
    0.021923347444265304,
    0.05093256090322921,
    0.18255906837653443,
    0.31391669791874816,
    0.32354076150068006,
    0.2518414515196843,
    0.21427242447835365,
    0.11029561122498417,
    0.03881712769484869,
    0.014468894459889489,
    0.01762431628848393,
    0.013617871204612601,
    0.011387759136314818,
    0.012049922756948812,
    0.007903045282242751,
    0.006726412508356998,
    0.007300850206199668,
    0.02501997231114575,
    0.08065191317689645,
    0.2266046317630942,
    0.4450168180468779,
    0.5718588797729967,
    0.5988790533415681,
    0.3680323377741826,
    0.21057637901336929,
    0.07322979719880905,
    0.02007095711006111,
    0.03377298100821305,
    0.029843896998333886,
    0.008149687316290663,
    0.01301834002140616,
    0.028459908476454094,
    0.032332531454562136,
    0.0688733225796213,
    0.17061427514151775,
    0.18390054357655783,
    0.12737045346476886,
    0.11481651438434735,
    0.102158212482628,
    0.024093595107427864,
    0.013037783750983996,
    0.01897067128534214,
    0.028713442956138986,
    0.03568274768471049,
    0.07208934400384118,
    0.11096394769937451,
    0.04295877327343561,
    0.01871959890058909,
    0.012141686659039384,
    0.008521232414838712,
    0.00913182319449587,
    0.009156133094153533,
    0.014558579050442631,
    0.04657332753776768,
    0.09601250175180343,
    0.08682840961797852,
    0.059515877591573764,
    0.05966611242782557,
    0.0764108940124053,
    0.06325419037382013,
    0.04293243551297078,
    0.024695202604002535,
    0.037248585788613967,
    0.06611203238962002,
    0.08217255703831003,
    0.12356267656225714,
    0.18267901906744063,
    0.15594326424832777,
    0.12094941853495529,
    0.0600205982339584,
    0.02616110693016854,
    0.008240992823795298,
    0.003717435147251201,
    0.001988873989785292,
    0.0016646272053211363,
    0.0022183252773925323,
    0.0020442895799562964,
    0.003383677124188426,
    0.007888009303170558,
    0.02589875863858947,
    0.05233608461193799,
    0.07229756974324661,
    0.06423800448416864,
    0.06147861393137307,
    0.10800599061828779,
    0.12425839087876754,
    0.1195712659786621,
    0.04993259412908518,
    0.012815080723477552,
    0.006098699332214872,
    0.009642203718711323,
    0.008574987521356499,
    0.005808572070726353,
    0.0032686268096513687,
    0.0027829272605407484,
    0.0027905900382939573,
    0.0055611085864323406,
    0.013589782308507646,
    0.01331101859025469,
    0.03540872582443773,
    0.05747953279926765,
    0.09370240777764821,
    0.09009519037089665,
    0.08229852436417408,
    0.125524672712279,
    0.10209151289617166,
    0.0414129139294125,
    0.03079239585896247,
    0.021023917489865183,
    0.009431872187227179,
    0.004091672244327799,
    0.004096590610302659,
    0.008884091376167932,
    0.018608172098112868,
    0.05420074263112358,
    0.09202662193986631,
    0.07316109458558825,
    0.06401043890581572,
    0.08202268081244751,
    0.047791059401005254,
    0.013341134356112679,
    0.0065199387335220195,
    0.003138275085698372,
    0.003924836579647568,
    0.005094995825908359,
    0.007660448924056854,
    0.014424396336532511,
    0.017681869190888416,
    0.012637912118223866,
    0.018537217715052658,
    0.03841542947110092,
    0.04198405821120637,
    0.059508277023810494,
    0.08872484377134307,
    0.12248070908770323,
    0.10135924265917168,
    0.059680498192549,
    0.0186140055636123,
    0.013233187103134921,
    0.01241008484594012,
    0.00628568901964148,
    0.007137824302991764,
    0.008335672371364598,
    0.007975463021943371,
    0.007125410618629059,
    0.005602701889945506,
    0.004077615373463809,
    0.004305919076454046,
    0.011293031487615814,
    0.030240363647860216,
    0.08804155708817374,
    0.25788887645798475,
    0.33199282004820246,
    0.19920959661749338,
    0.1357318777166561,
    0.07303235179733181,
    0.02286261780971093,
    0.0065047795380878334,
    0.005397873222808661,
    0.008020648536515611,
    0.008443225551484915,
    0.025729851639600555,
    0.08234863848671568,
    0.10939106629700356,
    0.1797720230855543,
    0.3207082524370477,
    0.3463411659141444,
    0.21647128488811676,
    0.14003719233256262,
    0.059975815751381126,
    0.015945276116717363,
    0.010147863056869936,
    0.01476439244723353,
    0.029371433411352912,
    0.03723227350893453,
    0.047818213566755675,
    0.12027857188065603,
    0.12195541067965258,
    0.05120067960208703,
    0.03378432158959885,
    0.043373512689112576,
    0.03529372235821546,
    0.03589758971573086,
    0.02637265089585339,
    0.02882475251403567,
    0.06828068213418693,
    0.12708530106791774,
    0.11248171647321309,
    0.09861810935244446,
    0.15241103920952295,
    0.1261986932502374,
    0.06066564748037345,
    0.05604461054732017,
    0.04530035439726322,
    0.03346467433034015,
    0.06037994062252583,
    0.11098063125688548,
    0.1195420436256329,
    0.1942052990996762,
    0.2366691103383327,
    0.1024251119944513,
    0.04299559866767848,
    0.01811200394825613,
    0.005924251263736058,
    0.00444142861516742,
    0.005399784557674023,
    0.004583653887351977,
    0.006547264185835295,
    0.011973552462418347,
    0.02295307711744309,
    0.03149177028486515,
    0.050531917234134804,
    0.05289802176512824,
    0.044411280299023415,
    0.03959378378539517,
    0.041239277448488945,
    0.05979443285940479,
    0.06435487380624318,
    0.09752045772383307,
    0.08208431017186693,
    0.09138389222005386,
    0.04448316850976468,
    0.006951734340177328,
    0.005048521792001933,
    0.008779124058430565,
    0.007142286780963335,
    0.009132857165783295,
    0.023187107533744825,
    0.04410389544475407,
    0.04648608908229788,
    0.028008940945396098,
    0.02272100210998049,
    0.015112503948708835,
    0.015995982421753967,
    0.0446872235836159,
    0.06477913219559527,
    0.033726931571124164,
    0.02535101012148271,
    0.027116949580347775,
    0.013930763456689395,
    0.00879118092895545,
    0.007605584511952297,
    0.011289235115823556,
    0.022046741765246586,
    0.046401366318606495,
    0.06061680995476816,
    0.08140975232542613,
    0.07587692661023411,
    0.0634890121796925,
    0.044896001773319316,
    0.024588764622118307,
    0.028902585475605723,
    0.029704122715830335,
    0.06107866236688113,
    0.07510946944235297,
    0.07410389775910488,
    0.12379403096277503,
    0.09915636363109893,
    0.06410178930944278,
    0.08819307322273398,
    0.12177152633449047,
    0.12771367522672103,
    0.14276784793085,
    0.16880962523785392,
    0.25804676444831964,
    0.2643830181254407,
    0.2790414630885825,
    0.3050922781811839,
    0.13677151255414705,
    0.057666101286895394,
    0.021265616717866802,
    0.022310525342468246,
    0.016801386200190335,
    0.009726084088337484,
    0.010890143004465037,
    0.009483729612791246,
    0.010442350729363876,
    0.02367418301357555,
    0.051394065900817076,
    0.05964305295194641,
    0.0988652443130272,
    0.16122484431808157,
    0.18347541092281733,
    0.16528131360518059,
    0.1549778530040949,
    0.11235773232356798,
    0.04329323884816011,
    0.010592787966185473,
    0.0072885795347837,
    0.01013159110342568,
    0.013370684648704258,
    0.03620573075026412,
    0.08098889295890165,
    0.14847805595566377,
    0.21556192582264522,
    0.1764459108563822,
    0.09505737129965815,
    0.045892153938958756,
    0.021266974698940577,
    0.01281158026218965,
    0.014018819432660515,
    0.017146406524441833,
    0.04834435415326773,
    0.0736944203940167,
    0.045286399366648175,
    0.02451877601813974,
    0.026643308166198226,
    0.021464515724939525,
    0.011183805418358493,
    0.008379277153713588,
    0.01949650464714758,
    0.03777307432746338,
    0.057873698603026255,
    0.07314629187340502,
    0.05367892944487028,
    0.04506802984358739,
    0.033478122490434345,
    0.01819537912422352,
    0.028464756390000057,
    0.04138969120234128,
    0.04833606318954532,
    0.11582234151393334,
    0.20528284270537514,
    0.1882937299907614,
    0.1969891666370697,
    0.0924748808360829,
    0.06304106683163506,
    0.0436894434912237,
    0.016797936805501915,
    0.018059396878605773,
    0.012063470367719294,
    0.004876163395223251,
    0.010696993619244045,
    0.03879835710008689,
    0.039687759170393834,
    0.02762855423720975,
    0.02422559886617661,
    0.045087219740581684,
    0.07509317356723107,
    0.07381381887210833,
    0.053829996019762426,
    0.060169889590245274,
    0.09509474072624624,
    0.13350210900498666,
    0.14967223410416444,
    0.12933348661047464,
    0.19024122229377588,
    0.23886232389791198,
    0.23947656634691541,
    0.25176554974829457,
    0.13033170843741748,
    0.07173935977630873,
    0.06933614326130409,
    0.022004555749434003,
    0.013595096200965794,
    0.013527739103720807,
    0.008072011822419862,
    0.007907741399990523,
    0.0083694283382037,
    0.017774977792126403,
    0.030588733613377484,
    0.036790433243430246,
    0.052140313439087066,
    0.045347336415342845,
    0.03472414127663862,
    0.027697887849171033,
    0.030331663583411203,
    0.025462465976464864,
    0.03525862050789736,
    0.06000722945949724,
    0.07284184806478064,
    0.09483795155192104,
    0.1250392032318042,
    0.12086105550268104,
    0.06978200690962229,
    0.055810184479991726,
    0.04131667017535323,
    0.046153057128334486,
    0.039717013367201945,
    0.03065901886362723,
    0.03586994858182879,
    0.02845927908587411,
    0.03604689096899794,
    0.025403928657545934,
    0.021517598756000074,
    0.018564125795277713,
    0.016622101685182293,
    0.011340678796987379,
    0.006891321234574651,
    0.003259372128488243,
    0.0017265971835697977,
    0.0017894128623174882,
    0.0017080179642790124,
    0.0009604725116788553,
    0.000837431427553221,
    0.000870108250383347,
    0.0005898066841639965,
    0.0006009732628435437,
    0.0008715907599407831,
    0.0007830076872618804,
    0.0010309254336175922,
    0.0011877890186877745,
    0.0009686244349675111,
    0.0009936632963512574,
    0.0007953377675200592,
    0.0007522959845055446,
    0.0009740271225918456,
    0.0006650813960016759,
    0.0005528090053695511,
    0.0006152268768154373,
    0.0005958134490303079,
    0.0005595794983127689,
    0.0005596921326941557,
    0.0009993751668502058,
    0.0014285004654561767,
    0.0020849218710635073,
    0.003519852950564289,
    0.0031971080578608838,
    0.0033619980321241607,
    0.004252743092214683,
    0.005416889552596434,
    0.00869930915403729,
    0.01205505257685916,
    0.011899984224303623,
    0.008088513951194207,
    0.007698949230884853,
    0.0037479259001044645,
    0.0016256140491008185,
    0.0013054355439551467,
    0.0028153255602198076,
    0.00433781569908156,
    0.006831322675674165,
    0.020640012375578328,
    0.026985170838395706,
    0.010329522145865393,
    0.009028735653120895,
    0.013466222139476734,
    0.012680565826749653,
    0.018744179081741075,
    0.022059838945344527,
    0.03543642927456751,
    0.04554312574032696,
    0.060392544988452174,
    0.08013911577998237,
    0.07520193585231169,
    0.04048361582876163,
    0.015854591831057276,
    0.014062535878090315,
    0.004856512981777771,
    0.002215809038022864,
    0.002960546829302163,
    0.007871136380509718,
    0.018142315922975858,
    0.05799268289919604,
    0.16662939862391016,
    0.20825103168091677,
    0.14159316303545977,
    0.12991922372254583,
    0.09121267075950769,
    0.025877670462551332,
    0.010381483271229001,
    0.004062817500106598,
    0.002148432674231292,
    0.0028899294930846775,
    0.004332350087369558,
    0.003644612644944697,
    0.002308458769930508,
    0.003111898040995142,
    0.011231030219578924,
    0.03438338576291786,
    0.059575406063661906,
    0.07727671599014545,
    0.1347045064494311,
    0.19578767146708156,
    0.18951114143450096,
    0.16611354042047766,
    0.07833418105788523,
    0.031223104559695673,
    0.027325481548052612,
    0.05657852586758166,
    0.03290692127171531,
    0.008544505632929373,
    0.011143719992290168,
    0.01525934667092704,
    0.008102174687467212,
    0.0054163049856551515,
    0.01684528952597316,
    0.054890371633953286,
    0.121594386366747,
    0.26669003877593767,
    0.33719655398348186,
    0.2990320298409629,
    0.20435812876226692,
    0.11748701763255459,
    0.06344921645000631,
    0.019555161125508407,
    0.012889289218587648,
    0.02734860305539171,
    0.013458440673600077,
    0.004516901206026724,
    0.007820282673246257,
    0.011259990381197037,
    0.007318444346598686,
    0.009827555620712492,
    0.023229158841734605,
    0.025533573213171103,
    0.011407796047706394,
    0.01082588949754208,
    0.015504766977326502,
    0.006044991075217928,
    0.004601421200930047,
    0.008081961278150467,
    0.009721345537551832,
    0.010599330203509734,
    0.01791052429501697,
    0.009384892203440201,
    0.006885083488542016,
    0.010110644051007471,
    0.007872097396187355,
    0.00686306266634812,
    0.007860692578366097,
    0.025372082316893602,
    0.09216971415336718,
    0.16755578602483504,
    0.20395866607595892,
    0.1780036740098052,
    0.15668080730728237,
    0.122497306542779,
    0.06003318030656235,
    0.044547121958913534,
    0.045327265478650125,
    0.05546795421218191,
    0.07399421282873425,
    0.11204311670321894,
    0.14417522266202792,
    0.23006875794656548,
    0.2627180815223688,
    0.21134945493808185,
    0.13054684927254512,
    0.06834094419918242,
    0.01651633637812019,
    0.006735036415464104,
    0.006782371439012514,
    0.006070009921620031,
    0.006452363624256611,
    0.006516895122278477,
    0.017563161969538006,
    0.045548557297095116,
    0.09739499579683011,
    0.1937093471685333,
    0.20576476705678948,
    0.11645642907869642,
    0.1003743636145606,
    0.15174027837215648,
    0.09098178896137878,
    0.10566164723709166,
    0.09247051707092895,
    0.034067068303469804,
    0.01769506287311099,
    0.015629094245460506,
    0.017377684869324853,
    0.02698349070640373,
    0.09119072145477018,
    0.17327815415382639,
    0.1405338659968394,
    0.14591660128564765,
    0.13662818837797033,
    0.09461634385933314,
    0.11502313239299836,
    0.07749735945825902,
    0.08628382250269925,
    0.15416908609201466,
    0.16113087001925275,
    0.14267499113267543,
    0.12688904700686493,
    0.06425407068014284,
    0.025128551930002102,
    0.011881463448347337,
    0.008253814896470856,
    0.010525404765034567,
    0.011312507194870706,
    0.025533944168370095,
    0.038818269571015786,
    0.03351942601669135,
    0.037698868639039436,
    0.06429361960567707,
    0.05019117275388977,
    0.022160531223380155,
    0.015469673409986567,
    0.007373276995658674,
    0.0064695526207303984,
    0.01386599801290637,
    0.022578168084330406,
    0.0190325532789391,
    0.02114353752611875,
    0.013804684014720462,
    0.006318982809346241,
    0.005900177333535284,
    0.004238902123511602,
    0.0034018807838421257,
    0.003886344512920241,
    0.0018262168582287009,
    0.0016422612527663295,
    0.002324511425673268,
    0.0024093783501582854,
    0.0015278202683089064,
    0.0021766626871677942,
    0.003400154910809133,
    0.004707141806927679,
    0.006463530612561029,
    0.005659852317475342,
    0.010172356148206423,
    0.024845631654212025,
    0.039366108460189175,
    0.04465106527246408,
    0.03017607708860036,
    0.028978860215243502,
    0.022428907556691777,
    0.009485457776702524,
    0.00586991885976361,
    0.008473338663361722,
    0.015551182545477035,
    0.027366576624869906,
    0.05265207038464108,
    0.06933978552263119,
    0.09446629181101272,
    0.08591426912847833,
    0.06581639713033645,
    0.03405528986930961,
    0.03213047755364956,
    0.04805931627675008,
    0.05380755800790605,
    0.025585774920392348,
    0.011385085790414928,
    0.010177876335178037,
    0.009365502324149027,
    0.00756860044163656,
    0.007492564347132742,
    0.007796816866708426,
    0.02233768928733371,
    0.07477020767428581,
    0.17581614186213937,
    0.4308568297440522,
    0.5341814412575759,
    0.42261438626588016,
    0.266619813235146,
    0.14833569126648416,
    0.05601438005876711,
    0.02361953266757282,
    0.012620156473245003,
    0.0060611055111077635,
    0.004919118543016189,
    0.009983931140469185,
    0.01859025340100789,
    0.03167406199920245,
    0.05183209471434974,
    0.06554705919781646,
    0.060465966794423294,
    0.037406262297337095,
    0.034490259186878244,
    0.02120377293568331,
    0.010959174998641479,
    0.008205817529371686,
    0.008138825740925153,
    0.006931904027155247,
    0.006393283802305155,
    0.012720255837912819,
    0.03016686084665534,
    0.022370866418443373,
    0.014161512868919165,
    0.016965291763956124,
    0.0357052847378927,
    0.06858161442387416,
    0.06109478977108248,
    0.12222921706276244,
    0.22913138186249016,
    0.2308022119927126,
    0.1722246406646422,
    0.08289780658668668,
    0.07006478533690744,
    0.05590153056991694,
    0.026111481667077326,
    0.036373697348529584,
    0.0420409498818005,
    0.028486829884349817,
    0.06585487391008185,
    0.2324106598324918,
    0.3021096550883915,
    0.29560558683076593,
    0.1677265690634075,
    0.09031023742983718,
    0.06590678533253379,
    0.030673304031008073,
    0.009492618776864395,
    0.007116192687252716,
    0.009477080522660036,
    0.008017387917324004,
    0.007520602334345301,
    0.017307201754590024,
    0.024021892186399305,
    0.02641781618232714,
    0.08737826599588652,
    0.2170255000965345,
    0.22453609678546224,
    0.15674602716549177,
    0.24505021500525495,
    0.27904235394711213,
    0.10199920641065684,
    0.0833915709544043,
    0.060917492973258026,
    0.04958976881598709,
    0.019848880671551588,
    0.010147954261596356,
    0.02039050603724342,
    0.031098651429336543,
    0.03258877453973005,
    0.057928208625171,
    0.06411314049658558,
    0.059380966767680184,
    0.05750716825709439,
    0.03642840165361805,
    0.04247498493177383,
    0.04034210811148603,
    0.045705641446024785,
    0.08841676961091822,
    0.11565480514601176,
    0.06639650916330353,
    0.03199912998581614,
    0.027972315008369903,
    0.008736205731316922,
    0.0036148367847220345,
    0.004468218258641744,
    0.012936628497892608,
    0.030116494018661618,
    0.05949945770537841,
    0.08256611000022386,
    0.06119938613707702,
    0.053027728112389975,
    0.07871939170496084,
    0.07624551623042293,
    0.0778698169284854,
    0.0964013885613761,
    0.09993066059977214,
    0.15336205889050522,
    0.10923948306191877,
    0.08081780728375158,
    0.056850421701348394,
    0.08155314901494103,
    0.11042955248672083,
    0.08866768269095172,
    0.07519820319876133,
    0.08516742673351249,
    0.09950899045884848,
    0.10919601138698794,
    0.08629203582000412,
    0.08336688800529807,
    0.18203279289588964,
    0.22534463707564065,
    0.1650677524792536,
    0.17119971857173352,
    0.15809752786733303,
    0.12386301148778225,
    0.10172889919758836,
    0.1397328403270659,
    0.1550715734438988,
    0.11026681472618396,
    0.06947340721339851,
    0.04703180032675271,
    0.0313846113469409,
    0.020408258657132212,
    0.04021192071459153,
    0.146987555480936,
    0.40521373895746715,
    0.7055025399499959,
    0.771452881859441,
    0.7235389281063246,
    0.5285360917736942,
    0.28592726010665326,
    0.1284534801161513,
    0.0895387069907911,
    0.04763919302306037,
    0.06330620461138899,
    0.12777273053788687,
    0.15650056416659727,
    0.136263145089245,
    0.11730336710499975,
    0.13028821279883696,
    0.1709551216887338,
    0.21841892565901128,
    0.1985137829608585,
    0.1925484477959624,
    0.0967981452202683,
    0.047869531936677694,
    0.02664623663177262,
    0.028206556094435446,
    0.04100133956436335,
    0.061882912225590295,
    0.0818487177997235,
    0.08307275035738713,
    0.12359935728894202,
    0.15957844969633184,
    0.10126369250740519,
    0.04104494717740437,
    0.018843929294414818,
    0.016248555374642343,
    0.024211491781589708,
    0.030285728984276918,
    0.03813382834769173,
    0.08260368707156275,
    0.16017737859846612,
    0.15468424209513798,
    0.0971647922828743,
    0.08087969227532035,
    0.028316738791452224,
    0.013715152820144027,
    0.029267226698240643,
    0.030570257510892908,
    0.025341200183931142,
    0.05407333421331214,
    0.13290107195883216,
    0.12888182835729453,
    0.1530527926687967,
    0.1935994865315299,
    0.0783024375337906,
    0.059262661832125196,
    0.0419801382311539,
    0.01971986622788022,
    0.006533124601147598,
    0.0043589011809832,
    0.006658374035266091,
    0.005761898357482541,
    0.006212242294789799,
    0.006712685739263198,
    0.0053998733175195995,
    0.004840375931864966,
    0.008464583222309049,
    0.019154622346560082,
    0.038283930056328144,
    0.04526799106648831,
    0.05505940311353732,
    0.04608303180135834,
    0.036093125405255194,
    0.0780248412475546,
    0.08520726348399107,
    0.05684650181178019,
    0.060913464868221474,
    0.0581493015233915,
    0.028361864958815947,
    0.007984010599370754,
    0.0024669681370788166,
    0.0018730286309694092,
    0.004404095427842961,
    0.013974148186177088,
    0.016701143190801754,
    0.03640166340095944,
    0.05998261661672002,
    0.04591438737099564,
    0.04283082087252694,
    0.03800794553811225,
    0.042215367371081544,
    0.021688688970967304,
    0.027154732848929313,
    0.056093105061707636,
    0.06106642211256092,
    0.05287871634578211,
    0.05110750458113833,
    0.02950937755037075,
    0.010866814773774257,
    0.009714394318664301,
    0.012991043855724825,
    0.017785589594666345,
    0.02859489512572107,
    0.06385737442006328,
    0.10166721144780018,
    0.08511575184663615,
    0.0684987361687902,
    0.11851758787045807,
    0.10049519010028135,
    0.061524616405538336,
    0.04364659271386529,
    0.03309983019223648,
    0.07760544818307229,
    0.11314399442562328,
    0.10384695417285324,
    0.06085760849675942,
    0.062295437917894804,
    0.09848353294986147,
    0.06022209157907014,
    0.017015627779320405,
    0.0088211561898236,
    0.010797482061600269,
    0.017535966730008453,
    0.03468348341946646,
    0.04904951979371407,
    0.06538729850696436,
    0.13675828759563524,
    0.17309213413736138,
    0.08453239329072938,
    0.05169198502958959,
    0.06899332657800128,
    0.038327008038917754,
    0.024658786532870933,
    0.04659294896119704,
    0.060532770500353494,
    0.05961915845836452,
    0.1532718423233857,
    0.3437956652199084,
    0.3146560127887004,
    0.292862551073985,
    0.3026631823380528,
    0.40279539115789254,
    0.2899613202210166,
    0.2727204919681619,
    0.2771200112814376,
    0.13119283437460877,
    0.04877214864755092,
    0.028458389125352642,
    0.03287291666151019,
    0.01851558543883148,
    0.008443827770067976,
    0.009203818838528907,
    0.00916556217814643,
    0.007473603168828468,
    0.010960163987409382,
    0.03757895533388273,
    0.10768556051105013,
    0.2587769805879937,
    0.4945989692506352,
    0.48673095214302786,
    0.46107015005907404,
    0.3335878318070634,
    0.2062521719823608,
    0.05735914232521185,
    0.012992531755616262,
    0.019361416030034256,
    0.015308235143777039,
    0.004821500035063325,
    0.01472470734662309,
    0.039702194411542005,
    0.031924851881419435,
    0.03556195398710153,
    0.06381971589848501,
    0.06128928388805808,
    0.03519437439232817,
    0.015962624049001617,
    0.012042613319551594,
    0.008596404584768838,
    0.008742358501715966,
    0.010776562223962489,
    0.015210938590298517,
    0.02404765191384162,
    0.02818819830930424,
    0.04862877563727175,
    0.019382994251541597,
    0.009230252837703167,
    0.010589875004909943,
    0.013405316274761624,
    0.014682384836961793,
    0.017452675405525322,
    0.04650253040115003,
    0.13602283485503686,
    0.23405466192291563,
    0.2383997712805433,
    0.15102957881277454,
    0.1330007440868268,
    0.0976017348954171,
    0.05498014241110173,
    0.05978810060261988,
    0.12241709504573806,
    0.21089196385791817,
    0.34054295851394273,
    0.3916553422130883,
    0.36311553568381627,
    0.358024064101735,
    0.21903277059028428,
    0.11465361492976077,
    0.059572736699791774,
    0.03718521826330378,
    0.013050431345434951,
    0.013541281667097557,
    0.01751115226119204,
    0.02057700641162985,
    0.07221998705516017,
    0.1710831275852037,
    0.11193001175189199,
    0.06154030422493078,
    0.11144955482157988,
    0.21376577419811518,
    0.234397984258614,
    0.2286662499341798,
    0.3125335112889137,
    0.41140834399123277,
    0.26825000441072844,
    0.2490386225932143,
    0.20984491959770774,
    0.061263106031289385,
    0.01421812034903615,
    0.014264777775914998,
    0.022191423938487956,
    0.025298446359652248,
    0.051507629163039324,
    0.10342526050626981,
    0.254153058141239,
    0.4034702680874498,
    0.4222135270529301,
    0.3789552921436897,
    0.33650294444555057,
    0.1499449997311897,
    0.08299353345223569,
    0.11377210761913441,
    0.1452024803797416,
    0.12894421960629432,
    0.14217660343328475,
    0.09682058762240056,
    0.039974947563775946,
    0.01247517065291059,
    0.011749891953121466,
    0.015948317645979888,
    0.019864651476092798,
    0.04543277655706165,
    0.06681250516828434,
    0.07556389929313097,
    0.11264206945709086,
    0.16216765651075174,
    0.14312151681741297,
    0.07804629632502305,
    0.05559581525433186,
    0.03325392730350907,
    0.03046034741980185,
    0.02938933553237541,
    0.012582478616242862,
    0.005408413684807309,
    0.004472901911408935,
    0.008094936618047216,
    0.006607975627144134,
    0.005645611145090218,
    0.007437121472142899,
    0.004689990924710089,
    0.0034741136515620092,
    0.004473046648811184,
    0.0053609937862294866,
    0.005919939052580878,
    0.024108492594741533,
    0.06938627781965376,
    0.10554502682773834,
    0.16464362575028335,
    0.13936015549783254,
    0.08565180772472787,
    0.05965583888439515,
    0.040900951942872,
    0.013629468227705619,
    0.019148535124005727,
    0.027490634005452874,
    0.01905928858366182,
    0.028203444784086745,
    0.03838937503625363,
    0.0681814236498912,
    0.10604813060266001,
    0.0716778782543916,
    0.052583476318873903,
    0.03416437183672737,
    0.017019676865324636,
    0.009623193950579562,
    0.011264931424875385,
    0.013926997630496405,
    0.01456751941905617,
    0.0399788789067357,
    0.061754765899299874,
    0.030088353785027434,
    0.018304475695181677,
    0.028635417188410714,
    0.04359634667689014,
    0.06294094957721348,
    0.14097285469960555,
    0.15448345431833185,
    0.13389879000208998,
    0.16294655348741294,
    0.20502391626625815,
    0.16275900082054362,
    0.09797889560248549,
    0.04451560996899321,
    0.017671153673582133,
    0.00862297547197032,
    0.008561874596610113,
    0.0181027919027503,
    0.012187766171220098,
    0.00879173392069946,
    0.011093830725922774,
    0.012677916898634784,
    0.011568811351211827,
    0.011332950498138181,
    0.016155862994021553,
    0.037964888359097046,
    0.12981166011940531,
    0.37180069551990746,
    0.49029880722088887,
    0.47903714071215037,
    0.3311408294512338,
    0.2018070133838177,
    0.06874865419197894,
    0.013936712903427115,
    0.007358341331579892,
    0.005753719156900113,
    0.004901248985545342,
    0.013579130295466342,
    0.044627390052614554,
    0.058944797987377916,
    0.05882380160284995,
    0.12762850818874769,
    0.26001750043420335,
    0.18529505096819063,
    0.06851345799452688,
    0.06120873083252428,
    0.0406211311801817,
    0.012057972592807208,
    0.011616342162808447,
    0.008823887072498504,
    0.00808470075680161,
    0.017511248467522406,
    0.02451235096782212,
    0.013908102494001515,
    0.006266886088856912,
    0.009194763357248472,
    0.0187492405852492,
    0.028321230449405977,
    0.02646656432968185,
    0.04376329799548604,
    0.11189898620549617,
    0.16124044145245822,
    0.14104929059133353,
    0.10350121019084352,
    0.08137963396739127,
    0.07466596148421066,
    0.05217200719227155,
    0.08243673733605936,
    0.17280485530846387,
    0.262190759467901,
    0.31515342897505794,
    0.22712523981654906,
    0.18811327328077626,
    0.28260066438412024,
    0.24653109320727662,
    0.2516987259821493,
    0.36183511042521727,
    0.2970189487654671,
    0.20938867946628908,
    0.3135622051600357,
    0.4147727549479157,
    0.3478559653547163,
    0.38547312653040167,
    0.36080856262215655,
    0.22860051355719518,
    0.11402453866228475,
    0.15315289623744766,
    0.12537861653844048,
    0.03240888947064579,
    0.015260939563966555,
    0.012976855938214345,
    0.012415504339645025,
    0.007690554043142276,
    0.01324322272936158,
    0.04592312134401657,
    0.09934923295624808,
    0.1547072168423139,
    0.21063609416829374,
    0.2376281374842649,
    0.18537784927340553,
    0.13253658970455928,
    0.04867076853066627,
    0.025806457814883235,
    0.008447517259007602,
    0.005857180860854119,
    0.010018003976411062,
    0.01263582926109941,
    0.0075279777807005285,
    0.011936030522580802,
    0.023990719843639974,
    0.03456185299591719,
    0.05361438213546105,
    0.04673954226045777,
    0.05005792233178081,
    0.041942770609853214,
    0.058483048118964306,
    0.07142943606013843,
    0.06311012018800055,
    0.0705955127597047,
    0.05175956982933945,
    0.039924183015220764,
    0.019413168748549803,
    0.015676748276570424,
    0.013977429076156216,
    0.012837043359130957,
    0.031666571950495215,
    0.07988905617296611,
    0.15900856343979566,
    0.18462203225444332,
    0.15440600104241492,
    0.19787308816994537,
    0.15534209282814893,
    0.08698075861538157,
    0.07834779556660278,
    0.07477955894342936,
    0.05540777282606759,
    0.07110079154311193,
    0.07497453179312392,
    0.07512200726982386,
    0.11348526216250499,
    0.19812478765778463,
    0.23351541331086506,
    0.15546711320697054,
    0.09233714740575194,
    0.02703408743894258,
    0.012794435534178243,
    0.008428435406773594,
    0.007040449293160402,
    0.007067960067692953,
    0.006658787901204426,
    0.009238184167040997,
    0.014416603013841602,
    0.04695482504407864,
    0.1360438525971935,
    0.22658084381067892,
    0.28366632187941393,
    0.39508634879857774,
    0.4882429687327171,
    0.4320383571114826,
    0.3573117758016959,
    0.17792620961052577,
    0.07628292641616352,
    0.021787904019800852,
    0.007701520532446612,
    0.011939007441875244,
    0.01665170701000909,
    0.018760405602957584,
    0.0650758111982332,
    0.15827116537976038,
    0.15971318678830357,
    0.19054963292903274,
    0.14845884961132697,
    0.11095022980482239,
    0.04567130022048228,
    0.02669305752677599,
    0.0515357387457851,
    0.07648722362391912,
    0.10103504235258699,
    0.06254439643696035,
    0.02752371567923403,
    0.017886189568486963,
    0.02214432643091988,
    0.01827452940916211,
    0.03318429711230143,
    0.08885852847306602,
    0.1646976813470131,
    0.20024331783644111,
    0.21274739059569112,
    0.13783911518415162,
    0.15880824431420956,
    0.27000361398716094,
    0.20976570231851788,
    0.17657842549539152,
    0.1459669000769841,
    0.07696347563471681,
    0.07074941213815085,
    0.09838921577019738,
    0.11068491539765488,
    0.1197679356111363,
    0.08889825208044608,
    0.06486315172624489,
    0.09322689466717816,
    0.11618624137837377,
    0.11158022285201295,
    0.14421753049425579,
    0.18304720317247367,
    0.20096648257766792,
    0.17213565717559068,
    0.16953392730462638,
    0.11697437025634162,
    0.10372383869687381,
    0.07401266539457861,
    0.041738799103064377,
    0.06021001014953813,
    0.05831571555170996,
    0.028472356670812455,
    0.01779600531382754,
    0.011095472307989023,
    0.008236457663893079,
    0.009001899641220818,
    0.024050924671605037,
    0.11788749424079194,
    0.37050591698976754,
    0.647704951592619,
    0.7798987098082751,
    0.7564860177178862,
    0.5475921000287656,
    0.2991846676950275,
    0.06741213943048871,
    0.00820332364809807,
    0.005995799001707779,
    0.004377879428539788,
    0.0023524262838806953,
    0.004220357936347193,
    0.010138047222789898,
    0.016311846638396296,
    0.025637575718711437,
    0.04256852118877392,
    0.06033393408532823,
    0.05656462275583591,
    0.04478178189173477,
    0.030217360069278148,
    0.019228284831167473,
    0.016312650715989252,
    0.02777869758529549,
    0.036977062490258096,
    0.04557443934583556,
    0.08869206975793377,
    0.05461029407449034,
    0.019459739085015054,
    0.01186205981981684,
    0.013791281308357864,
    0.018477622141752567,
    0.018035829669022122,
    0.028124789976003532,
    0.04825199340645413,
    0.04559392930374998,
    0.05306970981797673,
    0.03253541256690083,
    0.01525524372500042,
    0.016627138190643532,
    0.034173153289458906,
    0.038269999552133324,
    0.02819367074178784,
    0.024617185620287287,
    0.029259837271390414,
    0.06557408892694921,
    0.1608485281174264,
    0.17327429484600104,
    0.16550480856610897,
    0.11062326062266184,
    0.12869610258584352,
    0.14236163151681197,
    0.06665781330967845,
    0.01984189451455519,
    0.015543590395553074,
    0.01138243247034473,
    0.013496102652508403,
    0.027190553521658223,
    0.03169716665463234,
    0.01940459293571304,
    0.01951052668501832,
    0.03329684034264805,
    0.07663121259405076,
    0.10636712194448344,
    0.15402133419213723,
    0.2159252176536332,
    0.18680093791151395,
    0.08045416699935655,
    0.08693244460460535,
    0.03435793016504063,
    0.00802855058433862,
    0.0072943403204894,
    0.008990782320151493,
    0.007502689329410613,
    0.007008675740850782,
    0.012884698294667709,
    0.025333687639643956,
    0.05161771482458631,
    0.07294008320878101,
    0.0947743781722506,
    0.1256544107457557,
    0.17338640891421805,
    0.09896721723189925,
    0.12148175963768697,
    0.13114985324679126,
    0.09051972650600494,
    0.043117190805017996,
    0.018764500950289732,
    0.013335172833288975,
    0.004730623343900031,
    0.002727049576503454,
    0.0021143520899768752,
    0.003819511716792217,
    0.012498035487273169,
    0.04918785420387979,
    0.09571783258704736,
    0.05456791199364524,
    0.03395689066391331,
    0.06608180809036712,
    0.09576619168580004,
    0.08276165800773636,
    0.05074316943647253,
    0.02358629422473247,
    0.02021833826372037,
    0.02342070528759329,
    0.06648437454225445,
    0.10059247790313376,
    0.031274758296035036,
    0.025723246480001977,
    0.051816865512209605,
    0.032159490569793225,
    0.02514878421087332,
    0.04702505912478882,
    0.093085286630008,
    0.13053334681859916,
    0.20837572008491878,
    0.36085565749837595,
    0.47392077430105173,
    0.29644179018042227,
    0.09082073808414172,
    0.03597999024803776,
    0.008564015398325709,
    0.0024794615886036594,
    0.002414754075281862,
    0.0028523381722147002,
    0.0028854358726436652,
    0.009641459090223545,
    0.01669342677620884,
    0.015758246781584124,
    0.041517902324486725,
    0.1187151305476728,
    0.19568344689492967,
    0.24520543520441396,
    0.3076468884442412,
    0.23188027589551666,
    0.12498030464274304,
    0.08169335597011622,
    0.02726857559001087,
    0.009931737854437137,
    0.008480831795570312,
    0.009414435622194387,
    0.01661547149003591,
    0.02110695203739827,
    0.033742209016972134,
    0.06958180533473836,
    0.07727474118705208,
    0.03790758405961856,
    0.010328862000547417,
    0.00684156103925462,
    0.006726386426055712,
    0.008368794917933338,
    0.015153131383676865,
    0.020691570395811508,
    0.03362213590376972,
    0.07492575228626032,
    0.07239202035276819,
    0.01949951474782329,
    0.0077843699696643525,
    0.00923904265516801,
    0.01262807075098991,
    0.007344679181429091,
    0.004597631600874646,
    0.011180577768835343,
    0.027950898915342484,
    0.03090213913924081,
    0.04551918721858921,
    0.04697919361525299,
    0.05819697013455726,
    0.10355841507953657,
    0.09386274570669366,
    0.09391610256404036,
    0.06133560265591105,
    0.03470236647654117,
    0.03969943532377158,
    0.050980216337460346,
    0.06010198948776159,
    0.09802513496101461,
    0.12309250207143597,
    0.08681064284253594,
    0.06470694214237042,
    0.05265233021674591,
    0.0571059511916437,
    0.05290166517811388,
    0.03873662220369973,
    0.035947979719196985,
    0.04522538332506793,
    0.0458351105485666,
    0.06566600702852797,
    0.0767462866446125,
    0.06109816606046889,
    0.04271803895825851,
    0.031196299505876143,
    0.035604686888611486,
    0.05046799427999523,
    0.07397484956339273,
    0.09915547845780866,
    0.15608852411947693,
    0.1632792973269852,
    0.13267644628813935,
    0.14696710726168402,
    0.16539613512632326,
    0.11071685783317521,
    0.14432526201804344,
    0.11715531391199852,
    0.05034302097451995,
    0.041903689213660195,
    0.04327834163351992,
    0.06159187859898825,
    0.09727236916339471,
    0.1151839983228409,
    0.2046166595832806,
    0.3825355307115683,
    0.39720065059906434,
    0.2951852606901733,
    0.22200087166248933,
    0.19825152997273532,
    0.1628834233838987,
    0.26198655091774836,
    0.33332350672429406,
    0.31500444545579437,
    0.2612721365092584,
    0.20826239316885264,
    0.14373236629838113,
    0.12566991734618957,
    0.1324568693676099,
    0.11034063880185781,
    0.10822237977472428,
    0.20532937579467556,
    0.3308722201602083,
    0.24976357294363508,
    0.2950634017605844,
    0.3708375147289311,
    0.1950816783774366,
    0.16312497855382618,
    0.10708029005172724,
    0.028541183054559896,
    0.031872734318283,
    0.03629263630807555,
    0.01888075394708864,
    0.026249835606668083,
    0.04939063269443846,
    0.05219173933948955,
    0.0442102236716029,
    0.03775421944022447,
    0.06370614323350757,
    0.07342049714818542,
    0.06518460875636926,
    0.10468801112362225,
    0.12631747436173074,
    0.11571197923118258,
    0.11109460533971915,
    0.1243068602845632,
    0.22844916906928053,
    0.32805444940149736,
    0.5316191918462878,
    0.6390796770133412,
    0.4091811919004001,
    0.2620322785030682,
    0.12587912904903933,
    0.05405711172419496,
    0.037682286740865004,
    0.016066483867935123,
    0.010864214862438965,
    0.006893824355323387,
    0.0058991617589544436,
    0.006730441508482852,
    0.008190761701720499,
    0.00723092128429727,
    0.021027290213419602,
    0.09057201859259341,
    0.21599271931412975,
    0.4506588683161443,
    0.587779231886947,
    0.5139712956016687,
    0.3182613440390078,
    0.131289067321487,
    0.03864329533899042,
    0.016530263151503598,
    0.00990373500427524,
    0.00511372104262581,
    0.002528226757597073,
    0.0060124173603402645,
    0.010751525507817038,
    0.010122554655349694,
    0.011299916561488642,
    0.02300675796154529,
    0.04951013407646465,
    0.06099155537483435,
    0.05734444489623851,
    0.05305874122894946,
    0.05906549703148857,
    0.03465085656562029,
    0.034839507361050646,
    0.06268964707399431,
    0.06491116811911112,
    0.020525377313064544,
    0.009178039682199143,
    0.010791317395641835,
    0.01014432011797056,
    0.00990388096118144,
    0.00782426345784296,
    0.015350133212396568,
    0.05382094502917861,
    0.122691255039265,
    0.12061312480474781,
    0.09654961726907942,
    0.10781288185952902,
    0.07247931179723742,
    0.03813673350457932,
    0.05076692408156961,
    0.04376860821276173,
    0.036294611618935796,
    0.06043068218340173,
    0.0729099489852568,
    0.08589597824248868,
    0.1313375519010801,
    0.12809160556291388,
    0.08509962482130978,
    0.035860864181205904,
    0.028342375021829593,
    0.012196146775017715,
    0.005962597074894292,
    0.005476445803089508,
    0.005945776909162506,
    0.011939580910265656,
    0.020875089000700366,
    0.022953833918366067,
    0.02912280676624179,
    0.0649576072143038,
    0.13920068017131604,
    0.14677265509386964,
    0.09867939308137251,
    0.11243919069009599,
    0.17288961158150026,
    0.09201846589887887,
    0.0951487546263266,
    0.07951451440927154,
    0.03360150147783412,
    0.019552505584504887,
    0.018158002826745928,
    0.037200224782606636,
    0.06334190448146114,
    0.11287015750820142,
    0.16977064028416886,
    0.23905980783247763,
    0.22962843456953386,
    0.14945780902627553,
    0.09716199213702986,
    0.1552652231979561,
    0.11004814872180935,
    0.06648551585638279,
    0.12626714191576024,
    0.1738196432151073,
    0.07677296652462812,
    0.05497918060933741,
    0.03787204565818113,
    0.012936024070603744,
    0.011132486820200746,
    0.009921737095280577,
    0.015675279291013058,
    0.03593580349621131,
    0.05938723799133573,
    0.09016278078678125,
    0.05677603393051315,
    0.03664524883029534,
    0.06029835672184017,
    0.06250291676992845,
    0.026459067882141345,
    0.02190946337568873,
    0.03029432176666293
  ],
  "agmata": [
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.104369e-08,
    2.146188e-07,
    9.954933e-07,
    1.572218e-06,
    1.609251e-06,
    1.45902e-06,
    6.98132e-07,
    5.479592e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.830678e-06,
    0.0001753495,
    0.0007234084,
    0.0008082719,
    0.000808028,
    0.0007291145,
    0.0001940369,
    2.770752e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.031672e-08,
    1.648889e-07,
    2.80933e-07,
    2.80933e-07,
    2.706163e-07,
    1.23769e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.364292e-07,
    1.890129e-06,
    3.285878e-06,
    3.635585e-06,
    3.434757e-06,
    2.13699e-06,
    5.003452e-07,
    4.172538e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.11942e-08,
    2.588112e-07,
    4.374493e-07,
    4.503978e-07,
    4.152382e-07,
    2.049684e-07,
    1.294857e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.018911e-07,
    1.276425e-05,
    0.0001102389,
    0.0001440048,
    0.0001452794,
    0.0001383011,
    5.812551e-05,
    3.61173e-06,
    2.470404e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.175494e-08,
    1.783161e-08,
    1.783161e-08,
    1.783161e-08,
    6.07667e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    9.880851e-09,
    3.575705e-08,
    5.08716e-08,
    5.08716e-08,
    4.099075e-08,
    1.511455e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.175256e-09,
    5.175256e-09,
    5.175256e-09,
    5.175256e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.821357e-07,
    6.119404e-05,
    0.00145532,
    0.008480021,
    0.01691751,
    0.01798027,
    0.01779637,
    0.01495873,
    0.004371529,
    0.000161361,
    1.069494e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.800705e-07,
    0.0001159691,
    0.003374161,
    0.008222508,
    0.008805642,
    0.008793881,
    0.007502255,
    0.002271126,
    9.289753e-05,
    2.892529e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.287287e-08,
    1.617049e-07,
    2.010655e-07,
    2.060777e-07,
    1.632048e-07,
    4.43728e-08,
    5.012171e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.433248e-07,
    3.381517e-06,
    3.46012e-05,
    5.747329e-05,
    5.895745e-05,
    5.741103e-05,
    3.234395e-05,
    3.020577e-06,
    4.415979e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.613579e-07,
    5.073813e-06,
    7.919425e-06,
    7.983524e-06,
    7.670833e-06,
    3.552228e-06,
    9.965159e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.083611e-08,
    5.20111e-08,
    5.20111e-08,
    5.20111e-08,
    3.117499e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.543843e-08,
    3.999492e-07,
    1.408596e-06,
    1.80947e-06,
    1.829429e-06,
    1.524469e-06,
    5.291247e-07,
    3.793729e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.107958e-07,
    1.378173e-05,
    0.000125263,
    0.0001798664,
    0.0001802491,
    0.0001732535,
    7.302417e-05,
    1.272951e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.358904e-08,
    4.992587e-08,
    4.992587e-08,
    4.992587e-08,
    3.633683e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.096799e-07,
    1.476093e-06,
    4.893206e-06,
    5.2373e-06,
    5.171666e-06,
    4.067149e-06,
    4.899248e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    6.153825e-09,
    1.818447e-08,
    1.818447e-08,
    1.818447e-08,
    1.203065e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.439976e-08,
    1.439976e-08,
    1.439976e-08,
    1.439976e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.030758e-08,
    2.48764e-06,
    7.115979e-06,
    7.40122e-06,
    7.382576e-06,
    5.326031e-06,
    4.492316e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.465439e-06,
    4.333601e-05,
    8.575885e-05,
    8.609625e-05,
    8.537985e-05,
    4.847344e-05,
    7.537723e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.121899e-08,
    5.903561e-07,
    1.056113e-06,
    1.060612e-06,
    1.018139e-06,
    5.071763e-07,
    4.49861e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.582369e-08,
    5.177211e-07,
    1.572057e-06,
    1.735637e-06,
    1.69995e-06,
    1.287978e-06,
    2.071533e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.391647e-08,
    1.896873e-07,
    6.266578e-07,
    1.065621e-06,
    1.133922e-06,
    9.970753e-07,
    5.983541e-07,
    1.088967e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.345562e-07,
    3.414339e-06,
    3.809882e-06,
    3.809882e-06,
    3.36191e-06,
    4.890842e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.692385e-07,
    8.974844e-07,
    1.419687e-06,
    1.522027e-06,
    1.390698e-06,
    7.221626e-07,
    1.415602e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.198284e-08,
    1.806523e-08,
    1.806523e-08,
    1.806523e-08,
    6.082395e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.08426e-06,
    4.191231e-05,
    6.755371e-05,
    6.909156e-05,
    6.796458e-05,
    3.728676e-05,
    3.328303e-06,
    2.04365e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.949686e-07,
    4.700297e-06,
    4.015976e-05,
    8.556841e-05,
    9.070107e-05,
    8.89915e-05,
    6.074522e-05,
    1.076354e-05,
    6.08274e-07,
    8.943548e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.396115e-06,
    0.0001495085,
    0.00079775,
    0.0009862132,
    0.0009908842,
    0.0009351881,
    0.0003516876,
    1.807517e-05,
    1.554371e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.451654e-09,
    2.288437e-08,
    2.288437e-08,
    2.288437e-08,
    1.843272e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.825002e-08,
    7.328615e-08,
    7.907848e-08,
    7.907848e-08,
    6.082846e-08,
    5.792331e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.110711e-09,
    4.749379e-08,
    1.056475e-07,
    1.200976e-07,
    1.149869e-07,
    7.26038e-08,
    1.445007e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    9.919219e-06,
    0.0007124113,
    0.003952223,
    0.004905026,
    0.004920936,
    0.0047138,
    0.002112993,
    9.540452e-05,
    1.970795e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.068774e-08,
    1.098495e-07,
    1.258525e-07,
    1.258525e-07,
    1.051648e-07,
    1.600305e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.078268e-07,
    5.30835e-07,
    6.622782e-07,
    6.622782e-07,
    5.669857e-07,
    1.591471e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.0128e-06,
    0.0008388234,
    0.009119983,
    0.01097443,
    0.01098584,
    0.01077356,
    0.003880244,
    8.430361e-05,
    4.682557e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.47844e-08,
    3.821797e-08,
    4.490573e-08,
    4.490573e-08,
    3.012133e-08,
    6.687755e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.68842e-07,
    9.863732e-07,
    2.789953e-06,
    5.348405e-06,
    7.686899e-06,
    7.747586e-06,
    6.430494e-06,
    4.028253e-06,
    1.017712e-06,
    8.980941e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.212496e-07,
    6.69416e-05,
    0.00269132,
    0.008494411,
    0.009213851,
    0.009208568,
    0.008219318,
    0.00222414,
    4.002208e-05,
    5.881698e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.710532e-08,
    7.78653e-07,
    1.574802e-06,
    1.671271e-06,
    1.624965e-06,
    9.921865e-07,
    1.207307e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.013615e-08,
    1.009149e-07,
    4.805375e-07,
    1.198598e-06,
    1.842085e-06,
    1.935673e-06,
    1.64241e-06,
    9.7449e-07,
    2.269567e-07,
    5.578042e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.467368e-07,
    0.0001251015,
    0.001907855,
    0.002693017,
    0.002698304,
    0.002661344,
    0.001347044,
    2.475165e-05,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.124012e-08,
    5.004214e-08,
    5.004214e-08,
    5.004214e-08,
    3.880202e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    6.674155e-09,
    6.674155e-09,
    6.674155e-09,
    6.674155e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.801287e-09,
    2.205779e-08,
    4.717385e-08,
    7.430158e-08,
    7.807176e-08,
    6.67999e-08,
    4.168384e-08,
    1.455612e-08,
    4.984643e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.173923e-08,
    7.618604e-07,
    4.224287e-06,
    6.591961e-06,
    6.925084e-06,
    6.425685e-06,
    3.420584e-06,
    5.596123e-07,
    5.215807e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    4.141537e-07,
    0.001787543,
    0.5899718,
    4.649201,
    5.044917,
    5.04529,
    5.025478,
    2.329427,
    0.0169746,
    2.980056e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.935301e-08,
    1.214118e-07,
    1.833114e-07,
    1.833114e-07,
    1.589244e-07,
    6.971863e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    2.834756e-08,
    6.765923e-08,
    7.38195e-08,
    7.38195e-08,
    4.547194e-08,
    6.160271e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    3.245131e-07,
    1.060612e-05,
    6.802572e-05,
    8.310028e-05,
    8.310828e-05,
    7.63107e-05,
    1.946487e-05,
    2.623748e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.960517e-07,
    1.498475e-05,
    0.000131688,
    0.0001613326,
    0.0001616825,
    0.0001532829,
    4.393365e-05,
    9.637016e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.606496e-09,
    5.606496e-09,
    5.606496e-09,
    5.606496e-09,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.170241e-08,
    1.171774e-07,
    3.891175e-07,
    4.718861e-07,
    4.601837e-07,
    3.654113e-07,
    9.376132e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.237328e-08,
    3.201e-07,
    1.409894e-06,
    2.309135e-06,
    2.59457e-06,
    2.392037e-06,
    1.371971e-06,
    3.98432e-07,
    3.021157e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    6.250662e-09,
    4.039015e-08,
    1.147349e-07,
    2.023942e-07,
    4.341547e-07,
    3.43779e-06,
    8.320105e-05,
    0.001270148,
    0.008642541,
    0.01429458,
    0.01466614,
    0.01433907,
    0.009765254,
    0.001531301,
    3.781094e-05,
    2.008468e-07,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    9.911969e-06,
    0.003385401,
    0.06309456,
    0.1306567,
    0.1363884,
    0.1360671,
    0.1138775,
    0.02477729,
    0.0006116114,
    1.177389e-06,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.690461e-09,
    2.448797e-08,
    2.448797e-08,
    2.448797e-08,
    1.879751e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    7.819884e-08,
    3.254734e-07,
    5.321904e-07,
    5.961916e-07,
    5.429426e-07,
    3.148212e-07,
    9.608893e-08,
    1.748408e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    5.859651e-08,
    1.757593e-06,
    7.603184e-06,
    1.12456e-05,
    1.180026e-05,
    1.06403e-05,
    5.061264e-06,
    9.372778e-07,
    7.72529e-08,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0
  ],
  "disoMine": [
    0.07660842686891556,
    0.13638541102409363,
    0.12612196803092957,
    0.1257210522890091,
    0.14471609890460968,
    0.1731775999069214,
    0.1722971796989441,
    0.15345464646816254,
    0.14204058051109314,
    0.13527534902095795,
    0.13106808066368103,
    0.12024140357971191,
    0.10304028540849686,
    0.09102288633584976,
    0.0809970498085022,
    0.07401780039072037,
    0.06888357549905777,
    0.0672067329287529,
    0.06435942649841309,
    0.06414074450731277,
    0.06408505141735077,
    0.06402971595525742,
    0.06543198972940445,
    0.06420086324214935,
    0.06572867929935455,
    0.07185676693916321,
    0.08167032897472382,
    0.09133436530828476,
    0.09543938934803009,
    0.09497449547052383,
    0.09093287587165833,
    0.08918202668428421,
    0.08393077552318573,
    0.07958369702100754,
    0.07125883549451828,
    0.06269576400518417,
    0.0556330531835556,
    0.05044427514076233,
    0.04829680919647217,
    0.04804733395576477,
    0.04848005250096321,
    0.04983467981219292,
    0.05253267288208008,
    0.05600143224000931,
    0.058305587619543076,
    0.059660397469997406,
    0.05952955782413483,
    0.06063620001077652,
    0.06227906793355942,
    0.06797652691602707,
    0.07924976944923401,
    0.09256990998983383,
    0.10544124990701675,
    0.11036534607410431,
    0.10125388950109482,
    0.09485243260860443,
    0.09223170578479767,
    0.09289806336164474,
    0.09243935346603394,
    0.08699390292167664,
    0.08379323780536652,
    0.07960467040538788,
    0.07658520340919495,
    0.07555487751960754,
    0.07817675173282623,
    0.07347866892814636,
    0.07273165881633759,
    0.07523888349533081,
    0.08129537850618362,
    0.09726166725158691,
    0.11492542177438736,
    0.12675315141677856,
    0.1269247978925705,
    0.12491825968027115,
    0.11446886509656906,
    0.10995229333639145,
    0.10125446319580078,
    0.09902653843164444,
    0.09869728982448578,
    0.11212226748466492,
    0.10525467246770859,
    0.09125920385122299,
    0.07551079243421555,
    0.06963450461626053,
    0.07622233033180237,
    0.0821918398141861,
    0.08592879772186279,
    0.07940328121185303,
    0.0690130740404129,
    0.06750998646020889,
    0.06548761576414108,
    0.059667058289051056,
    0.055965591222047806,
    0.050118446350097656,
    0.04819042608141899,
    0.04620538279414177,
    0.04770686849951744,
    0.04642896354198456,
    0.040782004594802856,
    0.03698819503188133,
    0.03364233300089836,
    0.030855251476168633,
    0.028380004689097404,
    0.027110718190670013,
    0.026286838576197624,
    0.025568967685103416,
    0.02444101870059967,
    0.02370510995388031,
    0.023602893576025963,
    0.024398265406489372,
    0.02617408148944378,
    0.02649027854204178,
    0.028157664462924004,
    0.028246629983186722,
    0.029256632551550865,
    0.027656149119138718,
    0.02569659985601902,
    0.023613719269633293,
    0.021664327010512352,
    0.020539963617920876,
    0.01955500803887844,
    0.018711179494857788,
    0.01758495531976223,
    0.017168210819363594,
    0.01674007996916771,
    0.016905028373003006,
    0.01736999861896038,
    0.018594663590192795,
    0.019376514479517937,
    0.020881885662674904,
    0.021066704764962196,
    0.02116369642317295,
    0.020033596083521843,
    0.01957123354077339,
    0.018380986526608467,
    0.01762610673904419,
    0.01739964820444584,
    0.017626849934458733,
    0.018494917079806328,
    0.019058935344219208,
    0.020277081057429314,
    0.021191179752349854,
    0.022418495267629623,
    0.023136841133236885,
    0.023647038266062737,
    0.02343582920730114,
    0.02499631606042385,
    0.025420354679226875,
    0.026108358055353165,
    0.028033649548888206,
    0.028291603550314903,
    0.028693275526165962,
    0.029806219041347504,
    0.03275926783680916,
    0.03363751620054245,
    0.03447268530726433,
    0.032311223447322845,
    0.02925383299589157,
    0.02814033068716526,
    0.02504190057516098,
    0.02418285794556141,
    0.024881679564714432,
    0.027303628623485565,
    0.03364517539739609,
    0.038752052932977676,
    0.042445108294487,
    0.046202924102544785,
    0.04682023078203201,
    0.04461592808365822,
    0.03997703269124031,
    0.03402194380760193,
    0.02995697595179081,
    0.025640001520514488,
    0.02274174802005291,
    0.02090887352824211,
    0.019851651042699814,
    0.01930058002471924,
    0.019607314839959145,
    0.020643558353185654,
    0.01929900050163269,
    0.018488876521587372,
    0.01971067301928997,
    0.0202777162194252,
    0.02044413611292839,
    0.022161070257425308,
    0.02422277070581913,
    0.02407018654048443,
    0.023031221702694893,
    0.02214972861111164,
    0.019899647682905197,
    0.01915915310382843,
    0.018712081015110016,
    0.018940595909953117,
    0.019224604591727257,
    0.01994388736784458,
    0.02098754048347473,
    0.02250117063522339,
    0.02503923512995243,
    0.02833154797554016,
    0.028595823794603348,
    0.029255017638206482,
    0.0349821113049984,
    0.04014788940548897,
    0.04057902842760086,
    0.04133685678243637,
    0.04767046123743057,
    0.04497932270169258,
    0.0496479831635952,
    0.0578308030962944,
    0.06436201184988022,
    0.06919094920158386,
    0.07086864858865738,
    0.07276999950408936,
    0.07498081028461456,
    0.0800270140171051,
    0.08008228987455368,
    0.07768309116363525,
    0.07361159473657608,
    0.06994740664958954,
    0.06403034925460815,
    0.05607452988624573,
    0.05127757787704468,
    0.049702487885951996,
    0.05121180787682533,
    0.05073333904147148,
    0.04990185797214508,
    0.04497925564646721,
    0.04220619425177574,
    0.04097135737538338,
    0.03430419787764549,
    0.031812652945518494,
    0.029263507574796677,
    0.026527253910899162,
    0.024664150550961494,
    0.02440730296075344,
    0.026450304314494133,
    0.028042465448379517,
    0.03029264137148857,
    0.03393831476569176,
    0.03898031264543533,
    0.04411240294575691,
    0.04710190370678902,
    0.04838012531399727,
    0.04546526074409485,
    0.04184406250715256,
    0.03863454982638359,
    0.0355120524764061,
    0.030437562614679337,
    0.02625022828578949,
    0.02378031611442566,
    0.02105686254799366,
    0.019185451790690422,
    0.01781897060573101,
    0.017186814919114113,
    0.01760026626288891,
    0.01837322860956192,
    0.01963074691593647,
    0.01979134976863861,
    0.02111661061644554,
    0.021748410537838936,
    0.02237551100552082,
    0.02170342206954956,
    0.02148917131125927,
    0.022068865597248077,
    0.022242313250899315,
    0.022889088839292526,
    0.02186174876987934,
    0.022145967930555344,
    0.020190341398119926,
    0.018938850611448288,
    0.017677007243037224,
    0.016691917553544044,
    0.016769813373684883,
    0.0180463045835495,
    0.0202887374907732,
    0.02222445234656334,
    0.023464618250727654,
    0.023928651586174965,
    0.022731877863407135,
    0.02234729379415512,
    0.02300448529422283,
    0.02133215218782425,
    0.019807491451501846,
    0.0188823901116848,
    0.019637439399957657,
    0.01931188255548477,
    0.020295660942792892,
    0.020814673975110054,
    0.021598150953650475,
    0.020155087113380432,
    0.018140481784939766,
    0.017092285677790642,
    0.015483232215046883,
    0.014398973435163498,
    0.013709005899727345,
    0.01304013840854168,
    0.012665778398513794,
    0.012566433288156986,
    0.01260322518646717,
    0.012938412837684155,
    0.013546109199523926,
    0.01416000071913004,
    0.014732787385582924,
    0.01552613079547882,
    0.017151547595858574,
    0.01857190579175949,
    0.01925591751933098,
    0.020806968212127686,
    0.021024180576205254,
    0.020634938031435013,
    0.019690800458192825,
    0.01809225231409073,
    0.015983613207936287,
    0.014156305231153965,
    0.013412092812359333,
    0.013042887672781944,
    0.013089843094348907,
    0.013395747169852257,
    0.01390412449836731,
    0.014569954946637154,
    0.015328692272305489,
    0.015821322798728943,
    0.01735699735581875,
    0.019392674788832664,
    0.020761661231517792,
    0.02152366191148758,
    0.022910885512828827,
    0.022653378546237946,
    0.020481962710618973,
    0.018516499549150467,
    0.01742236688733101,
    0.01658368855714798,
    0.016819093376398087,
    0.017331210896372795,
    0.017955023795366287,
    0.01726696267724037,
    0.018233707174658775,
    0.019809527322649956,
    0.020541200414299965,
    0.021275708451867104,
    0.020813073962926865,
    0.02001498080790043,
    0.018332457169890404,
    0.016924843192100525,
    0.01568649336695671,
    0.014525760896503925,
    0.014136030338704586,
    0.014141938649117947,
    0.015377465635538101,
    0.017095377668738365,
    0.017263110727071762,
    0.017364244908094406,
    0.018072931095957756,
    0.017289340496063232,
    0.0156589075922966,
    0.015156515873968601,
    0.01618151180446148,
    0.01777082309126854,
    0.020156165584921837,
    0.022712966427206993,
    0.024128228425979614,
    0.025175224989652634,
    0.028335316106677055,
    0.02914639562368393,
    0.02994254231452942,
    0.02998150698840618,
    0.030456488952040672,
    0.030428631231188774,
    0.029978644102811813,
    0.028153639286756516,
    0.02512480691075325,
    0.021537568420171738,
    0.0193131472915411,
    0.018323827534914017,
    0.017250213772058487,
    0.01540451217442751,
    0.014183550141751766,
    0.013458054512739182,
    0.013244915753602982,
    0.013610012829303741,
    0.014483297243714333,
    0.015348656103014946,
    0.016484765335917473,
    0.017671015113592148,
    0.01874864473938942,
    0.018872825428843498,
    0.019755259156227112,
    0.019436167553067207,
    0.020047305151820183,
    0.021306628361344337,
    0.02208481729030609,
    0.02244732528924942,
    0.022802388295531273,
    0.022279012948274612,
    0.024124005809426308,
    0.027101609855890274,
    0.02829708531498909,
    0.026616182178258896,
    0.02705971524119377,
    0.027960093691945076,
    0.031693123281002045,
    0.03275296092033386,
    0.031200669705867767,
    0.028024451807141304,
    0.027387499809265137,
    0.02840392477810383,
    0.02786334417760372,
    0.02672705613076687,
    0.026047278195619583,
    0.02690083160996437,
    0.02423858642578125,
    0.023301634937524796,
    0.022534305229783058,
    0.021206887438893318,
    0.021489975973963737,
    0.02175995334982872,
    0.02231462113559246,
    0.02227664925158024,
    0.020925939083099365,
    0.020952217280864716,
    0.01947874389588833,
    0.018684888258576393,
    0.01916729286313057,
    0.018845941871404648,
    0.01682773046195507,
    0.015590245835483074,
    0.014379368163645267,
    0.013401634991168976,
    0.012619541957974434,
    0.012141243554651737,
    0.012284592725336552,
    0.012721485458314419,
    0.013254079036414623,
    0.013993490487337112,
    0.014941440895199776,
    0.015706686303019524,
    0.015852397307753563,
    0.01692401058971882,
    0.01931411400437355,
    0.020506974309682846,
    0.021120533347129822,
    0.018260324373841286,
    0.016377057880163193,
    0.015378989279270172,
    0.014370638877153397,
    0.013537446036934853,
    0.013073712587356567,
    0.013965306803584099,
    0.014334065839648247,
    0.015338297933340073,
    0.016752853989601135,
    0.018993299454450607,
    0.019832167774438858,
    0.021283308044075966,
    0.022854091599583626,
    0.02165815606713295,
    0.020098445937037468,
    0.01888447441160679,
    0.019257429987192154,
    0.020290041342377663,
    0.020984897390007973,
    0.022628413513302803,
    0.023474963381886482,
    0.023917315527796745,
    0.023328350856900215,
    0.026468465104699135,
    0.02712869644165039,
    0.025781923905014992,
    0.02298271283507347,
    0.01992970146238804,
    0.018994294106960297,
    0.017680278047919273,
    0.016286129131913185,
    0.014866051264107227,
    0.014044980518519878,
    0.014210451394319534,
    0.014835975132882595,
    0.01566188409924507,
    0.016368355602025986,
    0.017425674945116043,
    0.01844843104481697,
    0.018837125971913338,
    0.017409663647413254,
    0.01630653813481331,
    0.015624554827809334,
    0.014508248306810856,
    0.013899254612624645,
    0.013780911453068256,
    0.01404658518731594,
    0.01443379744887352,
    0.01467815786600113,
    0.01564156264066696,
    0.01677767001092434,
    0.018908856436610222,
    0.02093176729977131,
    0.023334035649895668,
    0.02661086991429329,
    0.029540827497839928,
    0.028394611552357674,
    0.025745024904608727,
    0.02374662645161152,
    0.021649030968546867,
    0.021433446556329727,
    0.020847957581281662,
    0.021532339975237846,
    0.02112903818488121,
    0.01994907855987549,
    0.018852343782782555,
    0.018861757591366768,
    0.018926246091723442,
    0.021356182172894478,
    0.025177231058478355,
    0.027850354090332985,
    0.030892958864569664,
    0.03241104260087013,
    0.03476838022470474,
    0.034933872520923615,
    0.03565641865134239,
    0.03523750975728035,
    0.03472204506397247,
    0.03510739281773567,
    0.032524824142456055,
    0.030626531690359116,
    0.030173730105161667,
    0.03099563904106617,
    0.03130347281694412,
    0.034981440752744675,
    0.03615545853972435,
    0.03847254067659378,
    0.03667173907160759,
    0.03641965612769127,
    0.032509416341781616,
    0.030630668625235558,
    0.03383650630712509,
    0.03479098528623581,
    0.03358451649546623,
    0.030306469649076462,
    0.02812836691737175,
    0.03001701645553112,
    0.032202236354351044,
    0.03386742249131203,
    0.029811734333634377,
    0.02714180015027523,
    0.02904532290995121,
    0.02868916094303131,
    0.02688666060566902,
    0.025975575670599937,
    0.0233337190002203,
    0.020713485777378082,
    0.018518589437007904,
    0.016965694725513458,
    0.015424428507685661,
    0.014045970514416695,
    0.0131688816472888,
    0.012674666941165924,
    0.012410908006131649,
    0.012422720901668072,
    0.012751003727316856,
    0.012834716588258743,
    0.012998045422136784,
    0.013049887493252754,
    0.013352992944419384,
    0.013485658913850784,
    0.013787698931992054,
    0.015179465524852276,
    0.015764031559228897,
    0.016626544296741486,
    0.01704024337232113,
    0.015799228101968765,
    0.013973136432468891,
    0.01261815708130598,
    0.01207190752029419,
    0.011799495667219162,
    0.011862266808748245,
    0.012217037379741669,
    0.012770586647093296,
    0.013456066139042377,
    0.013726676814258099,
    0.013945865444839,
    0.014624621719121933,
    0.015344787389039993,
    0.015666883438825607,
    0.017436912283301353,
    0.017998624593019485,
    0.016957426443696022,
    0.01605355553328991,
    0.016370629891753197,
    0.01577266864478588,
    0.016264310106635094,
    0.018379464745521545,
    0.019455688074231148,
    0.020139196887612343,
    0.022110706195235252,
    0.024664711207151413,
    0.025605276226997375,
    0.026450159028172493,
    0.028965428471565247,
    0.03123871609568596,
    0.03476100414991379,
    0.0360778383910656,
    0.03574085608124733,
    0.034076858311891556,
    0.03392587974667549,
    0.03172128275036812,
    0.027910703793168068,
    0.023553404957056046,
    0.021398060023784637,
    0.019570088014006615,
    0.018218697980046272,
    0.017444536089897156,
    0.01705905608832836,
    0.017409786581993103,
    0.017097918316721916,
    0.016237782314419746,
    0.015513692982494831,
    0.015085375867784023,
    0.014817950315773487,
    0.014573201537132263,
    0.014542896300554276,
    0.015305973589420319,
    0.015891171991825104,
    0.017343290150165558,
    0.02018509805202484,
    0.021762093529105186,
    0.02574126236140728,
    0.028063112869858742,
    0.032979946583509445,
    0.03248841315507889,
    0.03397021442651749,
    0.03140101581811905,
    0.02776186354458332,
    0.024855125695466995,
    0.022901536896824837,
    0.021075552329421043,
    0.01961267925798893,
    0.019095340743660927,
    0.01833723671734333,
    0.01828327402472496,
    0.018896043300628662,
    0.0211612768471241,
    0.023536698892712593,
    0.02589394338428974,
    0.02907785028219223,
    0.0329069085419178,
    0.036568205803632736,
    0.04011915251612663,
    0.04183961823582649,
    0.03940345346927643,
    0.03676266223192215,
    0.03354952484369278,
    0.0299819428473711,
    0.02665787562727928,
    0.02293972484767437,
    0.022425806149840355,
    0.021907499060034752,
    0.02054877020418644,
    0.020221542567014694,
    0.020046846941113472,
    0.022028068080544472,
    0.024996701627969742,
    0.028747929260134697,
    0.03233598172664642,
    0.034294094890356064,
    0.035924945026636124,
    0.03275923803448677,
    0.03196689113974571,
    0.03301990404725075,
    0.03387219086289406,
    0.03291541710495949,
    0.03097575157880783,
    0.03208828717470169,
    0.03338725492358208,
    0.0390038900077343,
    0.04376942664384842,
    0.046088505536317825,
    0.0431305356323719,
    0.04297344386577606,
    0.04057340696454048,
    0.04011557996273041,
    0.03658329322934151,
    0.031054483726620674,
    0.026752734556794167,
    0.023366494104266167,
    0.020877966657280922,
    0.01943383179605007,
    0.0184909887611866,
    0.01797211542725563,
    0.017916513606905937,
    0.018700264394283295,
    0.019311828538775444,
    0.02053206041455269,
    0.021921200677752495,
    0.024256225675344467,
    0.026468876749277115,
    0.027540983632206917,
    0.02936004102230072,
    0.030687976628541946,
    0.03160463646054268,
    0.029477881267666817,
    0.025415761396288872,
    0.02180379256606102,
    0.018921546638011932,
    0.017084572464227676,
    0.016146220266819,
    0.015984971076250076,
    0.016330787912011147,
    0.017179962247610092,
    0.01759175956249237,
    0.018069427460432053,
    0.01843106746673584,
    0.019282609224319458,
    0.018219193443655968,
    0.017136288806796074,
    0.016669197008013725,
    0.01576109416782856,
    0.014798312447965145,
    0.014308077283203602,
    0.01409963984042406,
    0.014331222511827946,
    0.014814441092312336,
    0.015699801966547966,
    0.01626959815621376,
    0.01660160720348358,
    0.01710277423262596,
    0.01756095699965954,
    0.018796805292367935,
    0.019097590819001198,
    0.01959669403731823,
    0.020785825327038765,
    0.021055614575743675,
    0.02089436538517475,
    0.02145225740969181,
    0.021105939522385597,
    0.021242240443825722,
    0.020876403898000717,
    0.019028211012482643,
    0.017995236441493034,
    0.016562044620513916,
    0.015814857557415962,
    0.015113797038793564,
    0.01542716659605503,
    0.015891648828983307,
    0.015821175649762154,
    0.01601506769657135,
    0.016535092145204544,
    0.016411442309617996,
    0.015972554683685303,
    0.015450469218194485,
    0.01494721882045269,
    0.014240862801671028,
    0.01412936020642519,
    0.014188871718943119,
    0.014843191020190716,
    0.016119761392474174,
    0.016850458458065987,
    0.017934981733560562,
    0.019257087260484695,
    0.02008548192679882,
    0.020503148436546326,
    0.020657746121287346,
    0.019369330257177353,
    0.01806485280394554,
    0.016621189191937447,
    0.015612459741532803,
    0.014992487616837025,
    0.014611653983592987,
    0.014264557510614395,
    0.013764725998044014,
    0.013200516812503338,
    0.013240871019661427,
    0.01369768287986517,
    0.013983553275465965,
    0.014656636863946915,
    0.01638929732143879,
    0.017655780538916588,
    0.018293751403689384,
    0.01762699894607067,
    0.017424287274479866,
    0.01669039949774742,
    0.015798797830939293,
    0.015613000839948654,
    0.01615155301988125,
    0.01677565649151802,
    0.016657961532473564,
    0.015929607674479485,
    0.015876809135079384,
    0.016607392579317093,
    0.01722421869635582,
    0.017355047166347504,
    0.019581355154514313,
    0.02104206569492817,
    0.0230471882969141,
    0.02378566563129425,
    0.024535855278372765,
    0.021886344999074936,
    0.01930408366024494,
    0.017950979992747307,
    0.016446733847260475,
    0.016130737960338593,
    0.016038596630096436,
    0.017545251175761223,
    0.017558736726641655,
    0.01751994527876377,
    0.015053541399538517,
    0.013965989463031292,
    0.013176933862268925,
    0.011988742277026176,
    0.011772493831813335,
    0.01139548048377037,
    0.011321404948830605,
    0.011207113973796368,
    0.010930603370070457,
    0.010395685210824013,
    0.010357026942074299,
    0.009996935725212097,
    0.009977341629564762,
    0.009901699610054493,
    0.009962158277630806,
    0.010380351915955544,
    0.01061512716114521,
    0.01151436660438776,
    0.011890267953276634,
    0.012683290988206863,
    0.013026956468820572,
    0.01285230927169323,
    0.013277797028422356,
    0.013250144198536873,
    0.012855672277510166,
    0.01232199091464281,
    0.011938082985579967,
    0.0113919572904706,
    0.011098641902208328,
    0.011016568168997765,
    0.010873483493924141,
    0.011067550629377365,
    0.011459313333034515,
    0.011990216560661793,
    0.012258832342922688,
    0.013199647888541222,
    0.013647537678480148,
    0.01344846561551094,
    0.012575004249811172,
    0.01212717778980732,
    0.012005778029561043,
    0.0116538405418396,
    0.011686844751238823,
    0.011745939962565899,
    0.012355205602943897,
    0.01310467254370451,
    0.014204433187842369,
    0.014877081848680973,
    0.015761014074087143,
    0.017856581136584282,
    0.019140254706144333,
    0.020779194310307503,
    0.021133042871952057,
    0.021447448059916496,
    0.019998880103230476,
    0.019314909353852272,
    0.018127525225281715,
    0.01703803241252899,
    0.016396578401327133,
    0.015063174068927765,
    0.014200674369931221,
    0.01386269647628069,
    0.013807377777993679,
    0.014081059955060482,
    0.015511537902057171,
    0.015132149681448936,
    0.015662604942917824,
    0.015407122671604156,
    0.014281169511377811,
    0.01329719740897417,
    0.013156748376786709,
    0.013023327104747295,
    0.013231591321527958,
    0.013880353420972824,
    0.015230660326778889,
    0.016597099602222443,
    0.017456334084272385,
    0.01968778297305107,
    0.022227438166737556,
    0.02440248802304268,
    0.026011181995272636,
    0.0268133245408535,
    0.025881050154566765,
    0.024392370134592056,
    0.022818436846137047,
    0.02084925025701523,
    0.01927820034325123,
    0.018656153231859207,
    0.018551534041762352,
    0.018702803179621696,
    0.019240453839302063,
    0.01893116906285286,
    0.01905643939971924,
    0.018485890701413155,
    0.017424123361706734,
    0.016192644834518433,
    0.015352850779891014,
    0.01517255324870348,
    0.015395425260066986,
    0.01598764769732952,
    0.01743469014763832,
    0.017722340300679207,
    0.019128907471895218,
    0.021246321499347687,
    0.023395631462335587,
    0.025661369785666466,
    0.03036932460963726,
    0.03266986459493637,
    0.036307722330093384,
    0.04398781806230545,
    0.04490125551819801,
    0.045454274863004684,
    0.04354860261082649,
    0.041930340230464935,
    0.04136691614985466,
    0.0412057489156723,
    0.04041358456015587,
    0.041022591292858124,
    0.04118376970291138,
    0.040625374764204025,
    0.041627272963523865,
    0.0418214425444603,
    0.04264640063047409,
    0.04684796929359436,
    0.05157269164919853,
    0.05167810246348381,
    0.05317975580692291,
    0.05739675834774971,
    0.06457546353340149,
    0.07074744254350662,
    0.07457512617111206,
    0.07858958840370178,
    0.08812643587589264,
    0.10393266379833221,
    0.11637286841869354,
    0.14052453637123108,
    0.18228283524513245,
    0.22342157363891602,
    0.22923006117343903,
    0.23369824886322021,
    0.23321589827537537,
    0.22706623375415802,
    0.21820582449436188,
    0.20792490243911743,
    0.1989385336637497,
    0.19265563786029816,
    0.19454054534435272,
    0.19398173689842224,
    0.19128087162971497,
    0.18853120505809784,
    0.18207792937755585,
    0.17427197098731995,
    0.16682006418704987,
    0.1660209447145462,
    0.16104882955551147,
    0.15863335132598877,
    0.15251530706882477,
    0.14594164490699768,
    0.14038319885730743,
    0.135539248585701,
    0.12928596138954163,
    0.12348435074090958,
    0.12696704268455505,
    0.13001547753810883,
    0.11280204355716705,
    0.10372710227966309,
    0.09828729927539825,
    0.09479077160358429,
    0.09389633685350418,
    0.09048125892877579,
    0.0904645249247551,
    0.08858318626880646,
    0.08483225107192993,
    0.08802444487810135,
    0.0943593829870224,
    0.10828171670436859,
    0.11779677122831345,
    0.12758581340312958,
    0.1374742090702057,
    0.12788796424865723,
    0.11316902935504913,
    0.0974784791469574,
    0.08800827711820602,
    0.08159446716308594,
    0.0842980220913887,
    0.08811718225479126,
    0.09633971750736237,
    0.1044851765036583,
    0.10834456235170364,
    0.11256656050682068,
    0.11066526919603348,
    0.10492338985204697,
    0.09903311729431152,
    0.09958527982234955,
    0.09319953620433807,
    0.09436724334955215,
    0.10364483296871185,
    0.11738753318786621,
    0.1297479271888733,
    0.1374533772468567,
    0.14074137806892395,
    0.13076059520244598,
    0.11886883527040482,
    0.1117691919207573,
    0.10570760816335678,
    0.10272867232561111,
    0.09917233139276505,
    0.09702260047197342,
    0.10281699895858765,
    0.11594217270612717,
    0.13288499414920807,
    0.14947476983070374,
    0.1532071977853775,
    0.15501351654529572,
    0.15927621722221375,
    0.1569591909646988,
    0.1461070328950882,
    0.12707403302192688,
    0.11755373328924179,
    0.10585013777017593,
    0.09699779748916626,
    0.08745332062244415,
    0.0806509330868721,
    0.07522432506084442,
    0.07457522302865982,
    0.07458009570837021,
    0.07362886518239975,
    0.08295649290084839,
    0.09627103060483932,
    0.1125173419713974,
    0.12096082419157028,
    0.13222754001617432,
    0.13706886768341064,
    0.13282307982444763,
    0.12281390279531479,
    0.10706382244825363,
    0.09121864289045334,
    0.08152629435062408,
    0.07606524229049683,
    0.07161860167980194,
    0.0711735188961029,
    0.07095672935247421,
    0.06939663738012314,
    0.07292504608631134,
    0.0755409374833107,
    0.07951361685991287,
    0.08666598051786423,
    0.09570720791816711,
    0.11427677422761917,
    0.1273241490125656,
    0.13502149283885956,
    0.1404000222682953,
    0.14670364558696747,
    0.14971624314785004,
    0.15081624686717987,
    0.15667976438999176,
    0.1669006049633026,
    0.17109602689743042,
    0.17349185049533844,
    0.16907675564289093,
    0.16790740191936493,
    0.15750636160373688,
    0.1544492542743683,
    0.15035808086395264,
    0.14114949107170105,
    0.1308962106704712,
    0.1198296993970871,
    0.108880415558815,
    0.0976174846291542,
    0.07934965193271637,
    0.06542301177978516,
    0.05628533661365509,
    0.04900473728775978,
    0.043341487646102905,
    0.03869391605257988,
    0.03753232955932617,
    0.03701505810022354,
    0.03616988658905029,
    0.03292299807071686,
    0.02919108420610428,
    0.02762058936059475,
    0.02737400121986866,
    0.02537536807358265,
    0.024417739361524582,
    0.023994866758584976,
    0.02449089102447033,
    0.02549515664577484,
    0.027339234948158264,
    0.02916114777326584,
    0.03150104731321335,
    0.03580130636692047,
    0.03904469683766365,
    0.04313672333955765,
    0.04374002665281296,
    0.04102269560098648,
    0.0362245999276638,
    0.03247291222214699,
    0.029414771124720573,
    0.02769075147807598,
    0.02673656865954399,
    0.025992589071393013,
    0.025244513526558876,
    0.02485387958586216,
    0.025458741933107376,
    0.026770643889904022,
    0.027516664937138557,
    0.030708011239767075,
    0.03230755776166916,
    0.031965725123882294,
    0.030398927628993988,
    0.029433652758598328,
    0.02758367545902729,
    0.026420539245009422,
    0.026171844452619553,
    0.027305323630571365,
    0.028506716713309288,
    0.02901887707412243,
    0.02954653464257717,
    0.029298579320311546,
    0.029655812308192253,
    0.02999802678823471,
    0.028820673003792763,
    0.02873707003891468,
    0.030885964632034302,
    0.036387525498867035,
    0.04283376783132553,
    0.047917090356349945,
    0.05217619240283966,
    0.05273914709687233,
    0.05335928499698639,
    0.05556580051779747,
    0.055688925087451935,
    0.055147696286439896,
    0.054222043603658676,
    0.05767500028014183,
    0.05680648982524872,
    0.06535729765892029,
    0.06723809242248535,
    0.0678471177816391,
    0.06527023017406464,
    0.06582581251859665,
    0.07038216292858124,
    0.07659986615180969,
    0.08453252166509628,
    0.08771917968988419,
    0.09780605882406235,
    0.11158439517021179,
    0.12271177023649216,
    0.13865233957767487,
    0.14989806711673737,
    0.15758772194385529,
    0.1608935445547104,
    0.1604234129190445,
    0.15699566900730133,
    0.1533796340227127,
    0.14468875527381897,
    0.13017715513706207,
    0.12062211334705353,
    0.10858520865440369,
    0.09677604585886002,
    0.08289902657270432,
    0.07312686741352081,
    0.06484438478946686,
    0.06286220252513885,
    0.06431768834590912,
    0.06409376114606857,
    0.061797965317964554,
    0.05896971374750137,
    0.05654364451766014,
    0.05192268267273903,
    0.04592357948422432,
    0.042546071112155914,
    0.038661614060401917,
    0.03470548242330551,
    0.03234616294503212,
    0.03120512329041958,
    0.030855121091008186,
    0.03077072650194168,
    0.03089946322143078,
    0.03102991357445717,
    0.032623570412397385,
    0.03476780652999878,
    0.03727109357714653,
    0.040724676102399826,
    0.04279518127441406,
    0.04452776536345482,
    0.04302855581045151,
    0.037458743900060654,
    0.03181738406419754,
    0.02826578915119171,
    0.0258050374686718,
    0.024371685460209846,
    0.023611703887581825,
    0.02375788241624832,
    0.02385777235031128,
    0.023827437311410904,
    0.024591153487563133,
    0.026304414495825768,
    0.028200222179293633,
    0.030253348872065544,
    0.03237809240818024,
    0.03555069863796234,
    0.03609554469585419,
    0.035627055913209915,
    0.03546765446662903,
    0.03397262096405029,
    0.03407667949795723,
    0.035212527960538864,
    0.038157686591148376,
    0.03976822271943092,
    0.04374820739030838,
    0.04803025349974632,
    0.05184805393218994,
    0.054306574165821075,
    0.05548243224620819,
    0.05695107951760292,
    0.05617067217826843,
    0.05292663723230362,
    0.0483902208507061,
    0.04032398387789726,
    0.03423304110765457,
    0.029513685032725334,
    0.02656945027410984,
    0.02450944297015667,
    0.023129072040319443,
    0.02238161489367485,
    0.021236006170511246,
    0.02062968723475933,
    0.02077559195458889,
    0.020841458812355995,
    0.022060994058847427,
    0.020949702709913254,
    0.018895627930760384,
    0.017509853467345238,
    0.016497448086738586,
    0.015871861949563026,
    0.01600325107574463,
    0.015770817175507545,
    0.01684005744755268,
    0.01888877898454666,
    0.019822558388113976,
    0.02383917197585106,
    0.02735678292810917,
    0.031229617074131966,
    0.03260209783911705,
    0.035553429275751114,
    0.03591266646981239,
    0.033671095967292786,
    0.028846632689237595,
    0.025314144790172577,
    0.022739524021744728,
    0.021066999062895775,
    0.019429579377174377,
    0.018210887908935547,
    0.017984019592404366,
    0.017709927633404732,
    0.01855750009417534,
    0.019172025844454765,
    0.01951524242758751,
    0.020457329228520393,
    0.021441318094730377,
    0.023887552320957184,
    0.024541059508919716,
    0.023999011144042015,
    0.02224191091954708,
    0.021880505606532097,
    0.021342594176530838,
    0.021212885156273842,
    0.021976523101329803,
    0.022689592093229294,
    0.024024326354265213,
    0.02262868918478489,
    0.0223645381629467,
    0.022106856107711792,
    0.02206524834036827,
    0.023319417610764503,
    0.02581203170120716,
    0.02958638407289982,
    0.032023053616285324,
    0.03468836471438408,
    0.03555973246693611,
    0.03332732990384102,
    0.030744565650820732,
    0.03122635930776596,
    0.0317312516272068,
    0.030462807044386864,
    0.02866368554532528,
    0.028438186272978783,
    0.028107382357120514,
    0.02800155058503151,
    0.02650337666273117,
    0.025957433506846428,
    0.023396087810397148,
    0.02125595137476921,
    0.018997056409716606,
    0.018017394468188286,
    0.018115155398845673,
    0.01878306455910206,
    0.0196483563631773,
    0.020040202885866165,
    0.020164290443062782,
    0.01840519718825817,
    0.016860319301486015,
    0.01567286252975464,
    0.014542869292199612,
    0.014102795161306858,
    0.01381385326385498,
    0.014384126290678978,
    0.014872903935611248,
    0.015326670370995998,
    0.014836269430816174,
    0.014732316136360168,
    0.01520449947565794,
    0.015300116501748562,
    0.015629468485713005,
    0.01685696840286255,
    0.017924176529049873,
    0.01753409206867218,
    0.016087787225842476,
    0.015203956514596939,
    0.014321648515760899,
    0.01397882029414177,
    0.013697662390768528,
    0.013718648813664913,
    0.013947831466794014,
    0.014866749756038189,
    0.015615293756127357,
    0.015769286081194878,
    0.015853125602006912,
    0.01614263840019703,
    0.016805773600935936,
    0.016173141077160835,
    0.01689012162387371,
    0.017744334414601326,
    0.018345393240451813,
    0.017873255535960197,
    0.017840957269072533,
    0.017901049926877022,
    0.018543539568781853,
    0.021033218130469322,
    0.023048851639032364,
    0.023075494915246964,
    0.02445366606116295,
    0.02884659729897976,
    0.02841656655073166,
    0.028592757880687714,
    0.029811374843120575,
    0.030134594067931175,
    0.03077450394630432,
    0.0338621661067009,
    0.034034837037324905,
    0.0298403799533844,
    0.029351085424423218,
    0.028666529804468155,
    0.0271711777895689,
    0.026500338688492775,
    0.023915931582450867,
    0.02257475070655346,
    0.02201961539685726,
    0.022065622732043266,
    0.02371666580438614,
    0.026498885825276375,
    0.029445532709360123,
    0.026422599330544472,
    0.025480300188064575,
    0.025815995410084724,
    0.028343167155981064,
    0.030329037457704544,
    0.028851104900240898,
    0.02417486533522606,
    0.02250160649418831,
    0.024249551817774773,
    0.030067119747400284,
    0.037761058658361435,
    0.04795151948928833,
    0.056408900767564774,
    0.06450643390417099,
    0.07209905982017517,
    0.07742808014154434,
    0.08489128202199936,
    0.08961383998394012,
    0.09164875000715256,
    0.08980520814657211,
    0.08504537492990494,
    0.07973338663578033,
    0.07287989556789398,
    0.0675835981965065,
    0.06196088716387749,
    0.06061745434999466,
    0.055117279291152954,
    0.05116434395313263,
    0.04592234641313553,
    0.046681445091962814,
    0.048103705048561096,
    0.05622274428606033,
    0.06613574922084808,
    0.07688553631305695,
    0.08938378095626831,
    0.09390465170145035,
    0.08756450563669205,
    0.08595068007707596,
    0.07628224790096283,
    0.06834077090024948,
    0.05948074162006378,
    0.051765233278274536,
    0.0462079755961895,
    0.04554257169365883,
    0.042933180928230286,
    0.04033049941062927,
    0.03551569581031799,
    0.03402724117040634,
    0.03382633626461029,
    0.03574327006936073,
    0.038914311677217484,
    0.0445018894970417,
    0.04834698513150215,
    0.05129966884851456,
    0.05252714827656746,
    0.0481601320207119,
    0.044944167137145996,
    0.04290078580379486,
    0.0446767583489418,
    0.046323709189891815,
    0.0439397394657135,
    0.038824670016765594,
    0.03611515834927559,
    0.03558414801955223,
    0.03299180418252945,
    0.03285742923617363,
    0.032217398285865784,
    0.02881639078259468,
    0.03131650760769844,
    0.03074471279978752,
    0.027200505137443542,
    0.02878212183713913,
    0.030918465927243233,
    0.03642876818776131,
    0.04213985800743103,
    0.04424329102039337,
    0.04287121072411537,
    0.039225250482559204,
    0.03931349143385887,
    0.03783812001347542,
    0.03513681888580322,
    0.033752717077732086,
    0.03474176302552223,
    0.03419041633605957,
    0.03896348923444748,
    0.04115920886397362,
    0.041431475430727005,
    0.04284889996051788,
    0.040204212069511414,
    0.03507842868566513,
    0.030711892992258072,
    0.027570614591240883,
    0.02404632791876793,
    0.021454542875289917,
    0.019980553537607193,
    0.019859595224261284,
    0.0186331644654274,
    0.01830042526125908,
    0.018744628876447678,
    0.019499409943819046,
    0.021043166518211365,
    0.02374853938817978,
    0.027195995673537254,
    0.0324891172349453,
    0.036102648824453354,
    0.040450774133205414,
    0.04205819219350815,
    0.04091527312994003,
    0.03770533576607704,
    0.03192390501499176,
    0.025685612112283707,
    0.02180945873260498,
    0.020128510892391205,
    0.019134536385536194,
    0.01865326426923275,
    0.01885947957634926,
    0.018993264064192772,
    0.019807498902082443,
    0.020915307104587555,
    0.022072983905673027,
    0.023159552365541458,
    0.02311636321246624,
    0.025201519951224327,
    0.027889033779501915,
    0.028736155480146408,
    0.02775311842560768,
    0.02858235128223896,
    0.030046170577406883,
    0.03282512351870537,
    0.03915054351091385,
    0.04455015808343887,
    0.04725287854671478,
    0.04772883653640747,
    0.05315179377794266,
    0.05464794486761093,
    0.05627605691552162,
    0.054929912090301514,
    0.05704282969236374,
    0.05800279229879379,
    0.05614430829882622,
    0.05282307788729668,
    0.04884796217083931,
    0.04377336800098419,
    0.03586885333061218,
    0.02870834246277809,
    0.024247733876109123,
    0.021153368055820465,
    0.019781364127993584,
    0.01905309595167637,
    0.019439183175563812,
    0.019167551770806313,
    0.01733396388590336,
    0.01609017886221409,
    0.014967228285968304,
    0.013810026459395885,
    0.013453338295221329,
    0.013215575367212296,
    0.013165146112442017,
    0.013362513855099678,
    0.013676452450454235,
    0.0143559779971838,
    0.015237735584378242,
    0.015504308976233006,
    0.016425618901848793,
    0.016437288373708725,
    0.01696246676146984,
    0.016218971461057663,
    0.016540590673685074,
    0.01624969206750393,
    0.015640800818800926,
    0.014894171617925167,
    0.014386113733053207,
    0.014118622988462448,
    0.013545827008783817,
    0.013429909944534302,
    0.013264228589832783,
    0.013526363298296928,
    0.013551156036555767,
    0.014066114090383053,
    0.014615642838180065,
    0.015145116485655308,
    0.015821583569049835,
    0.016180502250790596,
    0.016622990369796753,
    0.016313210129737854,
    0.016719568520784378,
    0.016259603202342987,
    0.015965525060892105,
    0.01610242947936058,
    0.016054105013608932,
    0.016184357926249504,
    0.01638200506567955,
    0.016651971265673637,
    0.01599113643169403,
    0.01555835735052824,
    0.015522210858762264,
    0.015334278345108032,
    0.0156222740188241,
    0.016180988401174545,
    0.017540017142891884,
    0.01848004385828972,
    0.021656828001141548,
    0.02387603558599949,
    0.02408144250512123,
    0.02539714053273201,
    0.02408330701291561,
    0.021549345925450325,
    0.02005852572619915,
    0.019407251849770546,
    0.01972748525440693,
    0.020288249477744102,
    0.02116907201707363,
    0.022287623956799507,
    0.02369389496743679,
    0.024936044588685036,
    0.03263135999441147,
    0.041447918862104416,
    0.04952992871403694,
    0.05211234837770462,
    0.053325846791267395,
    0.05716085061430931,
    0.06351175159215927,
    0.06586850434541702,
    0.05973060429096222,
    0.04995620250701904,
    0.0443732924759388,
    0.04014888033270836,
    0.03559410199522972,
    0.033730942755937576,
    0.03214385360479355,
    0.03225129842758179,
    0.029820816591382027,
    0.02861284837126732,
    0.026550672948360443,
    0.024656958878040314,
    0.024765856564044952,
    0.026103783398866653,
    0.028107745572924614,
    0.02934650145471096,
    0.03017471358180046,
    0.03028767742216587,
    0.027361903339624405,
    0.025240583345294,
    0.02449500747025013,
    0.026019064709544182,
    0.0280023030936718,
    0.028005503118038177,
    0.02811441384255886,
    0.02728833444416523,
    0.0276462584733963,
    0.027610592544078827,
    0.026000414043664932,
    0.027272453531622887,
    0.030125098302960396,
    0.031382206827402115,
    0.0331990085542202,
    0.031866032630205154,
    0.030230538919568062,
    0.030689068138599396,
    0.02897450514137745,
    0.025884872302412987,
    0.024264078587293625,
    0.02295910380780697,
    0.02211916074156761,
    0.02150028944015503,
    0.023219453170895576,
    0.024314483627676964,
    0.026429789140820503,
    0.03130526468157768,
    0.03643236681818962,
    0.040567632764577866,
    0.041932363063097,
    0.04341059550642967,
    0.04470905661582947,
    0.04582570493221283,
    0.0451233871281147,
    0.04144449159502983,
    0.03354007005691528,
    0.026647422462701797,
    0.023156922310590744,
    0.021667515859007835,
    0.020939607173204422,
    0.02077360823750496,
    0.021228168159723282,
    0.022343097254633904,
    0.02396210841834545,
    0.02621402218937874,
    0.02787010185420513,
    0.027812423184514046,
    0.028199896216392517,
    0.02645411714911461,
    0.02708377316594124,
    0.023731619119644165,
    0.021720781922340393,
    0.02090335078537464,
    0.021254077553749084,
    0.022620422765612602,
    0.025646952912211418,
    0.027945319190621376,
    0.03176931291818619,
    0.039206646382808685,
    0.04770597815513611,
    0.05249330401420593,
    0.055781394243240356,
    0.05836770683526993,
    0.06104661524295807,
    0.06068483740091324,
    0.058044128119945526,
    0.05163738504052162,
    0.04160476475954056,
    0.036797426640987396,
    0.030171170830726624,
    0.025024380534887314,
    0.022396132349967957,
    0.021592890843749046,
    0.021763702854514122,
    0.021419202908873558,
    0.021014060825109482,
    0.020134342834353447,
    0.018815986812114716,
    0.018122680485248566,
    0.017406880855560303,
    0.01732872612774372,
    0.016933446750044823,
    0.016597488895058632,
    0.01654370129108429,
    0.01580478996038437,
    0.015634076669812202,
    0.015393313020467758,
    0.015451709739863873,
    0.015120052732527256,
    0.015403371304273605,
    0.01560507994145155,
    0.015830695629119873,
    0.016518257558345795,
    0.017214052379131317,
    0.018469735980033875,
    0.019567197188735008,
    0.02055058442056179,
    0.023031823337078094,
    0.024866899475455284,
    0.027339261025190353,
    0.029835285618901253,
    0.03245502710342407,
    0.032106149941682816,
    0.03118959628045559,
    0.029220376163721085,
    0.025885002687573433,
    0.0236202459782362,
    0.022243890911340714,
    0.02148474007844925,
    0.02101278118789196,
    0.021290132775902748,
    0.022026151418685913,
    0.023709330707788467,
    0.025452783331274986,
    0.02776847966015339,
    0.03094886802136898,
    0.03303198888897896,
    0.03644848242402077,
    0.036639243364334106,
    0.03626810014247894,
    0.03510023653507233,
    0.0366317518055439,
    0.03952423110604286,
    0.04390174522995949,
    0.048113614320755005,
    0.04520184174180031,
    0.045059747993946075,
    0.04231208935379982,
    0.04503839462995529,
    0.04610545560717583,
    0.04692857339978218,
    0.04467254877090454,
    0.03901407867670059,
    0.03826816752552986,
    0.03436008840799332,
    0.0319940522313118,
    0.028898386284708977,
    0.026511184871196747,
    0.024316759780049324,
    0.02262466587126255,
    0.02243250422179699,
    0.023664504289627075,
    0.023650020360946655,
    0.024655306711792946,
    0.022957628592848778,
    0.022060556337237358,
    0.021288925781846046,
    0.021682389080524445,
    0.021747272461652756,
    0.021531766280531883,
    0.020504945889115334,
    0.019903024658560753,
    0.01988084428012371,
    0.02114262245595455,
    0.023285318166017532,
    0.02523818425834179,
    0.02913017012178898,
    0.033026322722435,
    0.0364050567150116,
    0.039523832499980927,
    0.036325208842754364,
    0.030479202046990395,
    0.0269024595618248,
    0.02648559957742691,
    0.02540264092385769,
    0.025952806696295738,
    0.024976324290037155,
    0.02525237575173378,
    0.023853812366724014,
    0.02364436909556389,
    0.0223183985799551,
    0.024630941450595856,
    0.02833082526922226,
    0.03191613405942917,
    0.037077877670526505,
    0.04043992981314659,
    0.036585733294487,
    0.0317176952958107,
    0.027533583343029022,
    0.023197783157229424,
    0.020840449258685112,
    0.020214753225445747,
    0.020766686648130417,
    0.021088000386953354,
    0.02079857513308525,
    0.021394476294517517,
    0.022195391356945038,
    0.023510154336690903,
    0.022119058296084404,
    0.02459004335105419,
    0.028095873072743416,
    0.0297084990888834,
    0.029149500653147697,
    0.026153160259127617,
    0.022210564464330673,
    0.02000238560140133,
    0.018774181604385376,
    0.018190395087003708,
    0.0177657138556242,
    0.017508072778582573,
    0.016912605613470078,
    0.016105715185403824,
    0.01637190394103527,
    0.0170213021337986,
    0.01824534498155117,
    0.01837058924138546,
    0.020083894953131676,
    0.02380559779703617,
    0.025756316259503365,
    0.022173793986439705,
    0.020406242460012436,
    0.019272547215223312,
    0.01837296225130558,
    0.01756882481276989,
    0.01688530668616295,
    0.01641981303691864,
    0.016084525734186172,
    0.01605544611811638,
    0.016361363232135773,
    0.017700372263789177,
    0.019880767911672592,
    0.021512141451239586,
    0.022566381841897964,
    0.02293967269361019,
    0.023418717086315155,
    0.020913146436214447,
    0.022644195705652237,
    0.02727769874036312,
    0.02994365803897381,
    0.029300184920430183,
    0.025988515466451645,
    0.021645542234182358,
    0.018864775076508522,
    0.01782681792974472,
    0.017102278769016266,
    0.01688453182578087,
    0.017040709033608437,
    0.017582779750227928,
    0.018878037109971046,
    0.020169513300061226,
    0.02115361951291561,
    0.023180123418569565,
    0.026772411540150642,
    0.029228730127215385,
    0.030910609290003777,
    0.028844479471445084,
    0.026535222306847572,
    0.025012532249093056,
    0.024048013612627983,
    0.023567622527480125,
    0.023785026744008064,
    0.025840062648057938,
    0.026726536452770233,
    0.02699914574623108,
    0.02840390056371689,
    0.03260847553610802,
    0.03546855226159096,
    0.04002625495195389,
    0.04365003481507301,
    0.04660458490252495,
    0.04823552072048187,
    0.05046350508928299,
    0.05201012268662453,
    0.052833180874586105,
    0.05275784060359001,
    0.0514872670173645,
    0.04870026931166649,
    0.04560910165309906,
    0.045040156692266464,
    0.04069603607058525,
    0.03618105128407478,
    0.032729681581258774,
    0.03029448539018631,
    0.02751327119767666,
    0.02535681240260601,
    0.022683344781398773,
    0.019714949652552605,
    0.018814288079738617,
    0.017516711726784706,
    0.016906287521123886,
    0.016613692045211792,
    0.01636820286512375,
    0.016844376921653748,
    0.017957337200641632,
    0.01927330531179905,
    0.021087443456053734,
    0.02400255762040615,
    0.02545705996453762,
    0.027852606028318405,
    0.029776571318507195,
    0.031696759164333344,
    0.029430411756038666,
    0.025713635608553886,
    0.02284705825150013,
    0.02062607742846012,
    0.019160032272338867,
    0.018423710018396378,
    0.018524883314967155,
    0.01908072456717491,
    0.020236043259501457,
    0.021093735471367836,
    0.022814001888036728,
    0.02618512511253357,
    0.029521791264414787,
    0.031086580827832222,
    0.03216617926955223,
    0.029706738889217377,
    0.025917740538716316,
    0.022914383560419083,
    0.02142338454723358,
    0.020478561520576477,
    0.020080434158444405,
    0.019652316346764565,
    0.01941307820379734,
    0.019013043493032455,
    0.019316047430038452,
    0.019162656739354134,
    0.02021358348429203,
    0.020525991916656494,
    0.022420821711421013,
    0.025601832196116447,
    0.030359068885445595,
    0.03649235889315605,
    0.03891078755259514,
    0.03982672095298767,
    0.036335378885269165,
    0.0328887403011322,
    0.03092961385846138,
    0.030137425288558006,
    0.02790042571723461,
    0.02689327299594879,
    0.025534413754940033,
    0.025744043290615082,
    0.026588337495923042,
    0.0283501073718071,
    0.027344219386577606,
    0.027545422315597534,
    0.029107805341482162,
    0.029047710821032524,
    0.029014168307185173,
    0.029881274327635765,
    0.029350221157073975,
    0.02538730390369892,
    0.024486657232046127,
    0.022561177611351013,
    0.021658046171069145,
    0.02086181752383709,
    0.02043486200273037,
    0.02040466107428074,
    0.021029526367783546,
    0.022497594356536865,
    0.02462843246757984,
    0.026316849514842033,
    0.027616942301392555,
    0.031626105308532715,
    0.03585776314139366,
    0.03650519251823425,
    0.0345594547688961,
    0.0328533761203289,
    0.029641391709446907,
    0.02591351605951786,
    0.02409069798886776,
    0.02336682192981243,
    0.02331899292767048,
    0.02274024859070778,
    0.0232219398021698,
    0.02440541237592697,
    0.026534343138337135,
    0.027860155329108238,
    0.028861021623015404,
    0.031942546367645264,
    0.03925025463104248,
    0.04459008947014809,
    0.044661130756139755,
    0.04357995465397835,
    0.046675123274326324,
    0.0449116975069046,
    0.04839500039815903,
    0.05273868143558502,
    0.053694985806941986,
    0.0542900376021862,
    0.053161438554525375,
    0.057025033980607986,
    0.0663241446018219,
    0.060343194752931595,
    0.05177093297243118,
    0.05678318440914154,
    0.05967908725142479,
    0.06017063185572624,
    0.06363610178232193,
    0.06447984278202057,
    0.06477987766265869,
    0.06411421298980713,
    0.05978379771113396,
    0.05457810312509537,
    0.049605194479227066,
    0.044463228434324265,
    0.037901874631643295,
    0.03286843001842499,
    0.03205011412501335,
    0.03148118034005165,
    0.030817614868283272,
    0.030076006427407265,
    0.03409809246659279,
    0.0374465249478817,
    0.03518558293581009,
    0.03461853414773941,
    0.03532404452562332,
    0.03443744406104088,
    0.03411691263318062,
    0.03313775360584259,
    0.032744817435741425,
    0.031595807522535324,
    0.029635997489094734,
    0.026974981650710106,
    0.02642526850104332,
    0.027440272271633148,
    0.027928058058023453,
    0.029662340879440308,
    0.03115236386656761,
    0.03298848494887352,
    0.030999744310975075,
    0.029924998059868813,
    0.027377283200621605,
    0.022164693102240562,
    0.02020193263888359,
    0.018664589151740074,
    0.01790608838200569,
    0.017283661291003227,
    0.016193699091672897,
    0.015584342181682587,
    0.015074426308274269,
    0.014619406312704086,
    0.014399467036128044,
    0.014322699047625065,
    0.01417313888669014,
    0.014182636514306068,
    0.014078999869525433,
    0.014168176800012589,
    0.013907249085605145,
    0.013028268702328205,
    0.012744216248393059,
    0.012837446294724941,
    0.012638859450817108,
    0.012561826035380363,
    0.012788279913365841,
    0.013172408565878868,
    0.01273215189576149,
    0.012722492218017578,
    0.013014516793191433,
    0.012980731204152107,
    0.013120974414050579,
    0.013369733467698097,
    0.013980318792164326,
    0.014718921855092049,
    0.01551374513655901,
    0.015652667731046677,
    0.015219828113913536,
    0.014993063174188137,
    0.015024419873952866,
    0.014832394197583199,
    0.014731845818459988,
    0.014865793287754059,
    0.01497236080467701,
    0.0155456168577075,
    0.016041846945881844,
    0.016442107036709785,
    0.01779681071639061,
    0.019442493095993996,
    0.021195191890001297,
    0.024420233443379402,
    0.0279676653444767,
    0.028968723490834236,
    0.028469383716583252,
    0.02799772098660469,
    0.030175063759088516,
    0.027496417984366417,
    0.023206336423754692,
    0.02166064828634262,
    0.019786985591053963,
    0.018659356981515884,
    0.01773213781416416,
    0.016969099640846252,
    0.01603095978498459,
    0.015549718402326107,
    0.015386421233415604,
    0.01567128114402294,
    0.015874715521931648,
    0.01685829646885395,
    0.017998388037085533,
    0.018941782414913177,
    0.020188989117741585,
    0.021821949630975723,
    0.024576788768172264,
    0.027767546474933624,
    0.02962474711239338,
    0.03204835206270218,
    0.03279166296124458,
    0.03144407644867897,
    0.02676977962255478,
    0.022714830935001373,
    0.02029087394475937,
    0.019265681505203247,
    0.0187150239944458,
    0.018706539645791054,
    0.01931489072740078,
    0.02039799839258194,
    0.021487083286046982,
    0.02265515923500061,
    0.023850515484809875,
    0.026570769026875496,
    0.029203137382864952,
    0.030276812613010406,
    0.03351182863116264,
    0.03661585599184036,
    0.03913121297955513,
    0.042190082371234894,
    0.04914484918117523,
    0.05193613842129707,
    0.05179981142282486,
    0.05022488161921501,
    0.04739584028720856,
    0.04455656558275223,
    0.043054793030023575,
    0.04336588829755783,
    0.04473267123103142,
    0.045280687510967255,
    0.04104258492588997,
    0.038647569715976715,
    0.036639705300331116,
    0.038435984402894974,
    0.040994927287101746,
    0.03711264953017235,
    0.03314119204878807,
    0.02892998605966568,
    0.02673761546611786,
    0.025866825133562088,
    0.025578662753105164,
    0.02641366422176361,
    0.026135092601180077,
    0.026392580941319466,
    0.02759731002151966,
    0.026005884632468224,
    0.024911245331168175,
    0.0249245073646307,
    0.024011483415961266,
    0.02332642860710621,
    0.023886844515800476,
    0.02550678141415119,
    0.027453554794192314,
    0.02951068803668022,
    0.03405383601784706,
    0.03763173520565033,
    0.041265688836574554,
    0.04332907125353813,
    0.04429974406957626,
    0.043543241918087006,
    0.042117372155189514,
    0.036954816430807114,
    0.03100726753473282,
    0.027859995141625404,
    0.025263488292694092,
    0.023614736273884773,
    0.02230229042470455,
    0.0233679860830307,
    0.02337961085140705,
    0.023700827732682228,
    0.024278633296489716,
    0.02657957188785076,
    0.029890144243836403,
    0.0331169068813324,
    0.036816809326410294,
    0.03766973689198494,
    0.037307512015104294,
    0.036398984491825104,
    0.03515911102294922,
    0.03489241376519203,
    0.03540467098355293,
    0.041545480489730835,
    0.04525401070713997,
    0.04832571744918823,
    0.04739396646618843,
    0.04728144779801369,
    0.04973636195063591,
    0.05166532099246979,
    0.057363953441381454,
    0.0676613301038742,
    0.07189001888036728,
    0.07722868025302887,
    0.08165260404348373,
    0.08264458924531937,
    0.07672718167304993,
    0.06910381466150284,
    0.0670941025018692,
    0.07272890955209732,
    0.07729487866163254,
    0.07876358926296234,
    0.07762467861175537,
    0.07703686505556107,
    0.08295901119709015,
    0.10121936351060867,
    0.10064158588647842,
    0.10121337324380875
  ],
  "protein_score": 0.08404121961779443,
  "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",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " PLD",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " RRM",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " OTHER",
    " 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": [
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    5.0,
    5.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    11.0,
    11.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    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,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    11.0,
    10.0,
    11.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    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,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    6.0,
    5.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    11.0,
    11.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    11.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    11.0,
    11.0,
    10.0,
    9.0,
    10.0,
    11.0,
    11.0,
    11.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    11.0,
    11.0,
    11.0,
    11.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    5.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    6.0,
    5.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    4.0,
    3.0,
    3.0,
    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,
    2.0,
    2.0,
    2.0,
    3.0,
    4.0,
    4.0,
    4.0,
    5.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    11.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    11.0,
    11.0,
    11.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    11.0,
    11.0,
    11.0,
    11.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    11.0,
    10.0,
    9.0,
    9.0,
    9.0,
    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,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    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,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    6.0,
    5.0,
    5.0,
    5.0,
    5.0,
    6.0,
    7.0,
    8.0,
    9.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    10.0,
    11.0,
    11.0,
    10.0,
    9.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    11.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    10.0,
    9.0,
    9.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    5.0,
    6.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    6.0,
    5.0,
    6.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    8.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    10.0,
    9.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    11.0,
    10.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    9.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    6.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    9.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    9.0,
    9.0,
    8.0,
    9.0,
    8.0,
    8.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    7.0,
    6.0,
    7.0,
    6.0,
    5.0,
    6.0,
    6.0,
    7.0,
    7.0,
    6.0,
    6.0,
    7.0,
    8.0,
    8.0,
    8.0,
    9.0,
    10.0,
    10.0,
    9.0,
    8.0,
    8.0,
    8.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    8.0,
    8.0,
    8.0,
    7.0,
    7.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    8.0,
    9.0,
    9.0,
    9.0,
    10.0,
    11.0,
    11.0,
    11.0,
    10.0,
    9.0,
    8.0,
    7.0,
    6.0,
    6.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    7.0,
    8.0,
    9.0,
    10.0,
    10.0,
    10.0,
    9.0,
    8.0,
    7.0
  ],
  "arg": [
    0.0,
    1.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    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,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    1.0,
    1.0,
    1.0,
    2.0,
    3.0,
    3.0,
    4.0,
    4.0,
    5.0,
    5.0,
    5.0,
    4.0,
    4.0,
    4.0,
    3.0,
    2.0,
    2.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    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,
    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,
    1.0,
    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,
    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,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    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,
    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,
    1.0,
    1.0,
    1.0,
    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,
    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,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    1.0,
    1.0,
    1.0,
    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,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    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,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    2.0,
    2.0,
    3.0,
    2.0,
    2.0,
    2.0,
    3.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    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,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    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,
    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,
    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,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0
  ],
  "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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    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,
    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,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    2.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    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,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    0.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    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
  ],
  "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
  ],
  "disorder": [
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    3.0,
    3.0,
    3.0,
    3.0,
    3.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    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,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    2.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0,
    1.0
  ],
  "sequence_id": "tr|F5GZB4|F5GZB4_HUMAN",
  "sequence_id_short": "F5GZB4",
  "backbone_mean": 0.8387091361374944,
  "backbone_median": 0.8445999999999999,
  "backbone_variance": 0.008135847264909513,
  "backbone_stdev": 0.09019893161733963,
  "backbone_pvariance": 0.00813216755108549,
  "backbone_pstdev": 0.09017853154207764,
  "backbone_min": 0.44419999999999993,
  "backbone_max": 1.0705999999999996,
  "sidechain_mean": 0.5181157168701945,
  "sidechain_median": 0.5506,
  "sidechain_variance": 0.015827419733637448,
  "sidechain_stdev": 0.12580707346424305,
  "sidechain_pvariance": 0.015820261244386593,
  "sidechain_pstdev": 0.1257786199812456,
  "sidechain_min": 0.16579999999999998,
  "sidechain_max": 0.777,
  "ppII_mean": 0.08284095095172322,
  "ppII_median": 0.0768963536247611,
  "ppII_variance": 0.001547320529942492,
  "ppII_stdev": 0.039335995347041776,
  "ppII_pvariance": 0.0015466207015707406,
  "ppII_pstdev": 0.03932709881965285,
  "ppII_min": -0.013160530012100935,
  "ppII_max": 0.2368040862493217,
  "coil_mean": 0.36312539679386235,
  "coil_median": 0.3548605740070343,
  "coil_variance": 0.014323179366049271,
  "coil_stdev": 0.11967948598673572,
  "coil_pvariance": 0.014316701220700537,
  "coil_pstdev": 0.11965241836544942,
  "coil_min": 0.015201136469841003,
  "coil_max": 0.7064577639102936,
  "sheet_mean": 0.32444655412006895,
  "sheet_median": 0.31940414011478424,
  "sheet_variance": 0.0279499253232589,
  "sheet_stdev": 0.16718231163391328,
  "sheet_pvariance": 0.027937284018273258,
  "sheet_pstdev": 0.16714450041288603,
  "sheet_min": -0.11426123976707458,
  "sheet_max": 0.8781750053167343,
  "helix_mean": 0.3046133441876659,
  "helix_median": 0.31419831793755293,
  "helix_variance": 0.02848514701440107,
  "helix_stdev": 0.16877543368156714,
  "helix_pvariance": 0.02847226363718967,
  "helix_pstdev": 0.16873726214796086,
  "helix_min": -0.24569617211818695,
  "helix_max": 0.8258092598989606,
  "earlyFolding_mean": 0.08189439479456935,
  "earlyFolding_median": 0.04551918721858921,
  "earlyFolding_variance": 0.010407805319314479,
  "earlyFolding_stdev": 0.10201865182070619,
  "earlyFolding_pvariance": 0.010403098035135686,
  "earlyFolding_pstdev": 0.10199557850777496,
  "earlyFolding_min": 0.0005528090053695511,
  "earlyFolding_max": 0.7798987098082751,
  "agmata_mean": 0.010687128325892782,
  "agmata_median": 0.0,
  "agmata_variance": 0.04677542947286492,
  "agmata_stdev": 0.2162762804212818,
  "agmata_pvariance": 0.04675427369291338,
  "agmata_pstdev": 0.2162273657354993,
  "agmata_min": 0.0,
  "agmata_max": 5.04529,
  "disoMine_mean": 0.03715337535988983,
  "disoMine_median": 0.025756316259503365,
  "disoMine_variance": 0.0010508592822052506,
  "disoMine_stdev": 0.03241695979275741,
  "disoMine_pvariance": 0.001050383995329536,
  "disoMine_pstdev": 0.032409628126986216,
  "disoMine_min": 0.009901699610054493,
  "disoMine_max": 0.23369824886322021,
  "complexity_mean": 8.051108095884215,
  "complexity_median": 8.0,
  "complexity_variance": 1.743540626771531,
  "complexity_stdev": 1.3204319849093065,
  "complexity_pvariance": 1.7427520511827606,
  "complexity_pstdev": 1.3201333459854578,
  "complexity_min": 2.0,
  "complexity_max": 11.0,
  "arg_mean": 0.6965174129353234,
  "arg_median": 1.0,
  "arg_variance": 0.6304810787690507,
  "arg_stdev": 0.7940283866267318,
  "arg_pvariance": 0.6301959222431488,
  "arg_pstdev": 0.7938488031376937,
  "arg_min": 0.0,
  "arg_max": 5.0,
  "tyr_mean": 0.38308457711442784,
  "tyr_median": 0.0,
  "tyr_variance": 0.37489925935931206,
  "tyr_stdev": 0.6122901757821303,
  "tyr_pvariance": 0.37472969840980536,
  "tyr_pstdev": 0.612151695586809,
  "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": 1.0511080958842154,
  "disorder_median": 1.0,
  "disorder_variance": 0.05304288921496999,
  "disorder_stdev": 0.23031041924969436,
  "disorder_pvariance": 0.05301889876304101,
  "disorder_pstdev": 0.23025833049651212,
  "disorder_min": 1.0,
  "disorder_max": 3.0
}