{
 "histograms": [
  {
   "size": 4043,
   "min": 0,
   "max": 65534,
   "counts": [
    361823808,
    3475,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    3,
    27,
    275,
    2710,
    18145,
    77526,
    217895,
    431261,
    775480,
    1705387,
    2192535,
    3486620,
    5576229,
    10367614,
    11030224,
    16671532,
    20637726,
    29892976,
    25137954,
    33203193,
    34785733,
    61352856,
    66897470,
    86468009,
    109236015,
    173497337,
    131750067,
    113092075,
    119281217,
    82805242,
    67686013,
    93262739,
    57667673,
    46843498,
    38607117,
    45457403,
    42208683,
    31008945,
    29545082,
    30528389,
    22148875,
    20836470,
    15648507,
    19953725,
    11002973,
    12749471,
    9938000,
    9727768,
    5598309,
    7790004,
    6053111,
    5803537,
    3229565,
    3628509,
    2643125,
    1715544,
    829376,
    687414,
    580888,
    213609,
    176426,
    123729,
    146568,
    85211,
    67323,
    81189,
    52050,
    48319,
    43872,
    43112,
    31635,
    31682,
    31604,
    32179,
    23767,
    23633,
    22830,
    21214,
    17901,
    17841,
    15729,
    18347,
    14431,
    14926,
    15601,
    9016,
    10695,
    11727,
    13953,
    9557,
    9269,
    8352,
    8884,
    6882,
    7993,
    7729,
    7959,
    7892,
    7079,
    9036,
    6136,
    6644,
    8443,
    6727,
    5466,
    5688,
    5001,
    3890,
    3386,
    3516,
    3973,
    3685,
    2576,
    2462,
    3276,
    2674,
    2042,
    2045,
    2684,
    2075,
    2031,
    1688,
    1717,
    1651,
    1250,
    1306,
    1605,
    1210,
    974,
    1172,
    1062,
    1032,
    884,
    744,
    1275,
    1082,
    1038,
    1030,
    1312,
    780,
    1027,
    1205,
    924,
    981,
    1394,
    1239,
    1065,
    2074,
    1482,
    1651,
    1638,
    715,
    550,
    761,
    421,
    427,
    519,
    505,
    446,
    340,
    307,
    365,
    255,
    200,
    255,
    202,
    188,
    181,
    181,
    160,
    121,
    91,
    124,
    137,
    114,
    102,
    82,
    103,
    71,
    90,
    89,
    57,
    75,
    80,
    72,
    68,
    47,
    65,
    58,
    57,
    61,
    58,
    36,
    55,
    45,
    52,
    57,
    36,
    46,
    35,
    33,
    28,
    14,
    27,
    21,
    19,
    16,
    9,
    12,
    11,
    11,
    11,
    11,
    3,
    8,
    9,
    8,
    7,
    3,
    8,
    6,
    7,
    7,
    3,
    6,
    5,
    7,
    8,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    0,
    2,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    1,
    2,
    0,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    1,
    2,
    2,
    1,
    0,
    1,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    0,
    0,
    0,
    2,
    1,
    1,
    2,
    1,
    0,
    2,
    0,
    2,
    2,
    2,
    2,
    1,
    2,
    1,
    1,
    2,
    1,
    1,
    2,
    0,
    1,
    0,
    2,
    1,
    0,
    2,
    2,
    1,
    2,
    1,
    0,
    0,
    2,
    0,
    0,
    2,
    1,
    1,
    2,
    0,
    2,
    2,
    2,
    1,
    1,
    2,
    1,
    1,
    2,
    1,
    1,
    2,
    0,
    0,
    1,
    2,
    2,
    2,
    2,
    0,
    0,
    2,
    1,
    1,
    0,
    2,
    0,
    0,
    2,
    1,
    1,
    2,
    2,
    2,
    2,
    0,
    0,
    1,
    2,
    0,
    0,
    2,
    0,
    1,
    2,
    1,
    1,
    0,
    2,
    2,
    0,
    2,
    1,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    1,
    2,
    2,
    2,
    1,
    2,
    0,
    1,
    0,
    2,
    0,
    0,
    2,
    0,
    1,
    2,
    0,
    2,
    2,
    2,
    0,
    1,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    2,
    2,
    2,
    1,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    1,
    0,
    2,
    2,
    2,
    0,
    2,
    1,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    1,
    2,
    2,
    2,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    1,
    2,
    0,
    2,
    2,
    2,
    0,
    1,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    1,
    2,
    0,
    2,
    2,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    2,
    2,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    2,
    2,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    1,
    2,
    2,
    2,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    1,
    1,
    2,
    0,
    2,
    2,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    1,
    0,
    0,
    2,
    2,
    2,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    0,
    2,
    2,
    2,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    1,
    2,
    1,
    0,
    2,
    2,
    2,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    1,
    1,
    2,
    1,
    2,
    2,
    2,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    1,
    2,
    2,
    2,
    1,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    1,
    0,
    2,
    1,
    0,
    1,
    2,
    2,
    2,
    2,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    1,
    2,
    1,
    1,
    2,
    2,
    2,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    1,
    1,
    0,
    2,
    1,
    0,
    2,
    2,
    2,
    0,
    1,
    0,
    0,
    2,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    2,
    2,
    1,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    2,
    2,
    2,
    2,
    2,
    0,
    0,
    2,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    2,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    2,
    2,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    2,
    2,
    1,
    2,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    2,
    2,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    2,
    0,
    0,
    2,
    2,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    2,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    2,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    2,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    2,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    2,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    2,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    2,
    2,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    2,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    2,
    1,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    2,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    2,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    2,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    2,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    2,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    2,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    2,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    0,
    2,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    2,
    1,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    1,
    1,
    2,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    0,
    1,
    0,
    1,
    2,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    1,
    1,
    2,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    0,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    2,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    1,
    0,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    1,
    1,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    0,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    2,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    2,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    1,
    5,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    2,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    2,
    0,
    1,
    1,
    2,
    2,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    2,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    2,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    2,
    2,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    2,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    2,
    2,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    2,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    2,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    2,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    2,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    2,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    2,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    0,
    0,
    1,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    2,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    0,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    1,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    1,
    2,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    2,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    2,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    1,
    2,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    1,
    0,
    2,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    0,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    1,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    1,
    1,
    0,
    2,
    2,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    1,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0
   ]
  },
  {
   "size": 4050,
   "min": 0,
   "max": 65449,
   "counts": [
    361827444,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    11,
    669,
    8277,
    42091,
    192209,
    406103,
    885352,
    1250021,
    1789385,
    2094152,
    5884952,
    6748438,
    9832027,
    12866947,
    18310418,
    16093281,
    25275437,
    24764822,
    35524934,
    28580492,
    39126196,
    39486180,
    56922344,
    68994859,
    59181933,
    70686069,
    100543100,
    103282024,
    101667802,
    109543708,
    117304889,
    81771587,
    69417592,
    66325069,
    72273894,
    48281486,
    51672913,
    36403026,
    30018325,
    33174032,
    28473223,
    24545890,
    28338432,
    16773454,
    16543901,
    12674649,
    14425278,
    16376074,
    8625539,
    10386711,
    7831051,
    7685202,
    8240437,
    6242609,
    6830714,
    3990656,
    4142622,
    4658815,
    2591778,
    2889210,
    1388218,
    1186233,
    920188,
    514695,
    476664,
    276877,
    257526,
    190697,
    168720,
    127927,
    139368,
    92901,
    88784,
    75839,
    64214,
    50302,
    54452,
    45431,
    36624,
    33699,
    28849,
    33747,
    27230,
    21839,
    21259,
    18765,
    19587,
    22350,
    16747,
    15995,
    16818,
    13806,
    13153,
    14474,
    13787,
    9045,
    12550,
    9954,
    11547,
    8816,
    8922,
    8162,
    8008,
    7121,
    7760,
    6999,
    6465,
    5859,
    5807,
    5377,
    6261,
    5447,
    5714,
    4838,
    5206,
    5992,
    4244,
    4392,
    5493,
    4436,
    4348,
    3948,
    4617,
    3370,
    3092,
    3303,
    3318,
    3171,
    2750,
    2477,
    2556,
    2057,
    2198,
    1850,
    1852,
    2022,
    1629,
    1407,
    1689,
    1306,
    1361,
    1403,
    1400,
    1306,
    1135,
    1202,
    1026,
    890,
    816,
    880,
    902,
    661,
    818,
    674,
    638,
    710,
    557,
    506,
    655,
    597,
    531,
    574,
    816,
    642,
    611,
    697,
    878,
    742,
    628,
    909,
    721,
    743,
    955,
    769,
    687,
    911,
    1325,
    953,
    1209,
    2124,
    1344,
    1061,
    780,
    754,
    534,
    402,
    448,
    529,
    470,
    563,
    321,
    307,
    297,
    317,
    225,
    261,
    172,
    156,
    114,
    103,
    87,
    75,
    68,
    68,
    71,
    64,
    64,
    65,
    63,
    77,
    68,
    68,
    71,
    71,
    68,
    69,
    68,
    64,
    47,
    57,
    41,
    51,
    43,
    36,
    33,
    24,
    28,
    29,
    30,
    20,
    23,
    5,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    2,
    1,
    1,
    1,
    1,
    1,
    1,
    2,
    2,
    1,
    0,
    2,
    2,
    2,
    2,
    1,
    2,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    2,
    1,
    2,
    2,
    2,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    2,
    2,
    0,
    2,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    2,
    0,
    2,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    2,
    0,
    2,
    2,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    2,
    2,
    0,
    2,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    2,
    0,
    2,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    2,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    2,
    2,
    1,
    2,
    2,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    2,
    0,
    2,
    0,
    2,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    2,
    1,
    2,
    0,
    2,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    2,
    0,
    2,
    0,
    0,
    2,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    2,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    0,
    2,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    0,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    2,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0
   ]
  },
  {
   "size": 4079,
   "min": 0,
   "max": 65407,
   "counts": [
    361827443,
    2,
    2,
    2,
    2,
    45,
    1772,
    11589,
    36956,
    82076,
    444952,
    1615918,
    3960090,
    6787699,
    12466142,
    14235673,
    18661459,
    25120626,
    34197376,
    34814801,
    39447096,
    44549088,
    56564060,
    53920090,
    62660558,
    62655742,
    78523781,
    91400192,
    74001106,
    92863029,
    75104013,
    82474377,
    70396279,
    72391465,
    70714632,
    68905155,
    55617517,
    53333256,
    48818579,
    48864273,
    37864336,
    38812700,
    28413014,
    28300145,
    18254774,
    19317748,
    13403474,
    15644355,
    10269672,
    14038112,
    8150011,
    10982856,
    6683611,
    8129228,
    5419446,
    6821093,
    4731300,
    5604311,
    3502979,
    3692442,
    3409856,
    2866455,
    2496632,
    2882618,
    2758961,
    2399072,
    1828751,
    1675244,
    1814006,
    1419680,
    1343467,
    1234031,
    1273586,
    1052328,
    948675,
    954397,
    1402340,
    759115,
    814678,
    783455,
    778523,
    810239,
    776834,
    692035,
    684961,
    648931,
    574474,
    452267,
    589347,
    265317,
    195432,
    183719,
    144745,
    111046,
    103432,
    85962,
    73401,
    58763,
    56392,
    50150,
    43833,
    35692,
    32903,
    25678,
    23530,
    20912,
    19824,
    16582,
    17763,
    14127,
    14212,
    12237,
    13480,
    9407,
    9062,
    9791,
    8343,
    10119,
    7413,
    7549,
    7782,
    6760,
    6668,
    6455,
    5001,
    6406,
    6447,
    5349,
    5045,
    4181,
    4443,
    3671,
    3615,
    3862,
    3729,
    3341,
    2860,
    2757,
    3195,
    2709,
    2532,
    2701,
    2133,
    2325,
    2147,
    2220,
    2202,
    1898,
    1679,
    1812,
    1718,
    1945,
    1503,
    1329,
    1455,
    1666,
    1347,
    1120,
    1039,
    1165,
    1063,
    1041,
    856,
    1041,
    821,
    742,
    811,
    755,
    693,
    753,
    594,
    857,
    568,
    554,
    630,
    784,
    571,
    598,
    570,
    688,
    915,
    715,
    711,
    672,
    995,
    686,
    712,
    666,
    796,
    715,
    622,
    621,
    917,
    653,
    612,
    780,
    1392,
    872,
    856,
    900,
    1025,
    580,
    474,
    362,
    287,
    278,
    307,
    333,
    258,
    294,
    233,
    247,
    254,
    281,
    237,
    312,
    438,
    366,
    369,
    354,
    356,
    343,
    279,
    223,
    208,
    168,
    162,
    142,
    113,
    78,
    68,
    73,
    62,
    77,
    53,
    77,
    52,
    67,
    71,
    55,
    50,
    70,
    35,
    68,
    55,
    28,
    36,
    36,
    35,
    30,
    8,
    30,
    31,
    37,
    42,
    2,
    45,
    49,
    54,
    58,
    2,
    57,
    57,
    40,
    19,
    2,
    7,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    1,
    2,
    2,
    1,
    2,
    2,
    1,
    2,
    1,
    2,
    2,
    1,
    1,
    2,
    1,
    2,
    1,
    1,
    0,
    1,
    2,
    1,
    1,
    1,
    1,
    2,
    1,
    2,
    1,
    2,
    2,
    1,
    2,
    1,
    1,
    1,
    2,
    1,
    1,
    1,
    1,
    2,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    2,
    1,
    1,
    0,
    1,
    2,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    2,
    1,
    1,
    1,
    1,
    2,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    2,
    1,
    1,
    1,
    1,
    2,
    2,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    2,
    2,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    2,
    2,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    2,
    1,
    1,
    1,
    0,
    1,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    1,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    2,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    2,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    1,
    0,
    2,
    2,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    2,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    2,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    1,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    2,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    2,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    3,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0
   ]
  },
  {
   "size": 4063,
   "min": 0,
   "max": 65535,
   "counts": [
    326701345,
    35125985,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    894,
    3609,
    8404,
    5061,
    22516,
    36982,
    24931,
    10663,
    25406,
    48622,
    31627,
    104385,
    51434,
    412470,
    42192,
    840628,
    85117,
    964727,
    89335,
    852608,
    402496,
    362515,
    471610,
    345255,
    483044,
    353386,
    469477,
    362388,
    442226,
    377132,
    553534,
    411271,
    590788,
    472820,
    705733,
    476217,
    600954,
    518533,
    709044,
    587138,
    947295,
    713261,
    1027734,
    448565,
    1056197,
    950852,
    1251709,
    1025028,
    1501087,
    1248789,
    1125333,
    1759074,
    1430207,
    2092240,
    1493290,
    2274144,
    1812480,
    1910065,
    2166705,
    2620002,
    2708890,
    2802749,
    2732120,
    3326082,
    2955714,
    2911455,
    3378358,
    4067163,
    3388149,
    4900347,
    3205950,
    5645502,
    2792604,
    5896187,
    3724757,
    6750454,
    3696822,
    7296102,
    4690983,
    7552344,
    6186964,
    8721523,
    9999558,
    5079053,
    10491627,
    6506820,
    10890021,
    5581411,
    14275939,
    9564758,
    13047578,
    9666943,
    14528967,
    11769119,
    14447478,
    12351536,
    17306225,
    12904518,
    20100719,
    17111236,
    28849618,
    8315624,
    30610510,
    14407550,
    26547164,
    18061750,
    32803847,
    15636650,
    37153958,
    21771876,
    32303430,
    24414892,
    30362963,
    41862585,
    18252291,
    41263439,
    16193323,
    48449537,
    14673762,
    44860998,
    26456558,
    34216458,
    24471490,
    36089822,
    27013219,
    33495542,
    35372815,
    30141421,
    26020990,
    37295766,
    16815048,
    35264508,
    17430230,
    30032722,
    16239198,
    36529133,
    7654766,
    33421073,
    9017310,
    30119727,
    12425882,
    22361845,
    12650549,
    22175105,
    17596627,
    11723607,
    17284126,
    9159414,
    15460908,
    13535003,
    9281740,
    11848339,
    9588095,
    10327777,
    7688289,
    10870662,
    5176941,
    9654523,
    6543930,
    6574622,
    7008262,
    6329546,
    4831564,
    5643858,
    5209141,
    3843585,
    4747620,
    4416134,
    2863662,
    4436160,
    2793693,
    3314616,
    2222303,
    3610234,
    1333742,
    3935889,
    412381,
    3337580,
    700637,
    2674569,
    712065,
    2376924,
    396143,
    2292826,
    563722,
    1591600,
    443082,
    1535444,
    238171,
    1303685,
    378412,
    1079935,
    240604,
    1036549,
    114715,
    926299,
    451060,
    444638,
    358395,
    449954,
    294730,
    377274,
    272528,
    321266,
    217556,
    332737,
    360578,
    90918,
    350163,
    64673,
    312600,
    80010,
    264348,
    84861,
    225537,
    75560,
    229103,
    52061,
    223205,
    29368,
    234253,
    15131,
    212538,
    4534,
    201238,
    11089,
    191748,
    10426,
    178476,
    5469,
    171055,
    10322,
    143726,
    7288,
    120260,
    4527,
    144688,
    39083,
    4379,
    23750,
    5649,
    11919,
    3124,
    7272,
    2674,
    4687,
    1458,
    3181,
    1880,
    1910,
    1426,
    1837,
    813,
    1553,
    980,
    1113,
    901,
    1069,
    617,
    901,
    928,
    603,
    679,
    810,
    399,
    662,
    599,
    435,
    721,
    360,
    463,
    598,
    367,
    325,
    481,
    361,
    397,
    346,
    279,
    419,
    343,
    199,
    351,
    247,
    310,
    202,
    283,
    224,
    281,
    153,
    314,
    185,
    222,
    192,
    144,
    216,
    147,
    166,
    161,
    194,
    79,
    209,
    59,
    183,
    67,
    162,
    82,
    133,
    106,
    110,
    87,
    136,
    74,
    135,
    66,
    101,
    57,
    116,
    63,
    99,
    73,
    100,
    51,
    79,
    63,
    81,
    47,
    61,
    52,
    73,
    74,
    28,
    71,
    41,
    68,
    30,
    68,
    36,
    57,
    41,
    50,
    26,
    56,
    14,
    53,
    20,
    46,
    27,
    43,
    18,
    47,
    14,
    35,
    18,
    32,
    31,
    22,
    14,
    37,
    14,
    36,
    11,
    27,
    26,
    12,
    17,
    22,
    14,
    23,
    16,
    10,
    23,
    6,
    17,
    14,
    14,
    17,
    12,
    8,
    21,
    8,
    15,
    14,
    9,
    10,
    9,
    6,
    14,
    8,
    12,
    5,
    13,
    11,
    10,
    8,
    9,
    9,
    6,
    8,
    3,
    8,
    8,
    6,
    8,
    7,
    5,
    5,
    6,
    5,
    7,
    7,
    3,
    5,
    5,
    7,
    3,
    6,
    5,
    5,
    5,
    6,
    3,
    6,
    3,
    5,
    7,
    3,
    3,
    3,
    3,
    2,
    5,
    2,
    4,
    3,
    5,
    3,
    3,
    2,
    3,
    2,
    5,
    2,
    2,
    2,
    3,
    2,
    4,
    2,
    3,
    2,
    3,
    2,
    3,
    2,
    3,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    0,
    2,
    2,
    1,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    1,
    2,
    1,
    2,
    1,
    1,
    1,
    1,
    1,
    2,
    2,
    1,
    2,
    1,
    0,
    2,
    2,
    0,
    0,
    2,
    1,
    0,
    1,
    1,
    2,
    1,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    1,
    1,
    1,
    0,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    2,
    1,
    0,
    2,
    1,
    1,
    0,
    1,
    1,
    2,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    1,
    0,
    1,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    1,
    0,
    1,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    1,
    1,
    0,
    2,
    1,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    0,
    1,
    0,
    1,
    2,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    0,
    1,
    1,
    2,
    2,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    2,
    2,
    1,
    1,
    0,
    0,
    1,
    2,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    1,
    1,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    2,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    2,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    1,
    1,
    0,
    1,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    2,
    1,
    1,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    1,
    1,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    1,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    2,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    1,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    2,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    1,
    1,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    1,
    1,
    1,
    2,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    2,
    1,
    2,
    1,
    1,
    1,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    2,
    1,
    0,
    1,
    2,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    2,
    1,
    1,
    0,
    2,
    2,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    2,
    1,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    2,
    1,
    1,
    1,
    2,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    2,
    0,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    2,
    0,
    1,
    2,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    2,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    2,
    1,
    1,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    2,
    1,
    0,
    2,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    2,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    2,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    2,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    2,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    2,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    2,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    2,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    2,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    2,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    2,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    2,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    2,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    2,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    2,
    1,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    2,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    6,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    2,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0
   ]
  }
 ]
}