{
 "histograms": [
  {
   "size": 4652,
   "min": 0,
   "max": 65531,
   "counts": [
    156334386,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    13,
    184,
    1022,
    21157,
    43832,
    118852,
    283840,
    418501,
    1068573,
    2666808,
    5968367,
    11760469,
    16200487,
    20554316,
    26188250,
    30183272,
    32110673,
    36439675,
    37658482,
    47994125,
    47620680,
    53683295,
    65311298,
    69375075,
    76636222,
    75913014,
    58217354,
    72814188,
    70032532,
    55441473,
    67780786,
    73666568,
    51922529,
    73531963,
    90003184,
    69728717,
    87954329,
    68519236,
    73288280,
    52759508,
    48891158,
    58823466,
    32490289,
    41069024,
    33773750,
    16190139,
    20168346,
    15025654,
    16175592,
    10884911,
    10132736,
    5909846,
    3396547,
    6767825,
    5615175,
    4788605,
    2344382,
    2542834,
    3027336,
    2836253,
    2676178,
    1619320,
    1347227,
    1889962,
    1804311,
    1416299,
    1430738,
    411615,
    1238862,
    1068631,
    841979,
    659978,
    329716,
    697430,
    597788,
    533222,
    477213,
    189240,
    302678,
    366300,
    317151,
    279267,
    161128,
    228321,
    151233,
    219148,
    205308,
    122272,
    180758,
    164481,
    150147,
    95048,
    109757,
    125925,
    120911,
    87851,
    109533,
    47024,
    93817,
    92031,
    88828,
    83685,
    67860,
    47943,
    77778,
    74224,
    67324,
    60976,
    45551,
    66370,
    43387,
    64414,
    55595,
    57768,
    59693,
    59421,
    34313,
    48776,
    53607,
    50636,
    33033,
    44992,
    46482,
    27454,
    44279,
    38839,
    37751,
    39108,
    38646,
    39476,
    39350,
    36245,
    20724,
    34002,
    33161,
    31106,
    19065,
    29154,
    29436,
    28562,
    26890,
    31596,
    19510,
    24339,
    25312,
    10655,
    22252,
    23278,
    23223,
    17098,
    24950,
    20783,
    22593,
    22718,
    21729,
    14709,
    19718,
    10138,
    20464,
    20886,
    18813,
    19345,
    13721,
    20784,
    21024,
    19391,
    17776,
    19360,
    11939,
    9207,
    17911,
    15711,
    15845,
    16339,
    15653,
    11942,
    14810,
    15509,
    15192,
    14417,
    14537,
    9542,
    5343,
    12797,
    12906,
    13395,
    12359,
    9738,
    12624,
    13314,
    12829,
    11935,
    12435,
    12569,
    1991,
    12532,
    12467,
    16086,
    19711,
    14674,
    8734,
    9350,
    8290,
    8536,
    8010,
    7694,
    1062,
    6906,
    7114,
    7341,
    6786,
    6811,
    6888,
    6212,
    6472,
    5791,
    5940,
    6275,
    5952,
    319,
    6024,
    5718,
    5564,
    5777,
    5243,
    5589,
    5519,
    6005,
    7485,
    8234,
    10296,
    400,
    11972,
    13353,
    14919,
    13439,
    11686,
    9301,
    8133,
    7251,
    6237,
    5801,
    5694,
    250,
    5366,
    5526,
    5314,
    5249,
    5319,
    4984,
    5138,
    4914,
    4848,
    5160,
    4541,
    5103,
    244,
    5101,
    4942,
    5189,
    4662,
    4946,
    4653,
    5382,
    20611,
    129783,
    1774,
    213,
    3213,
    5,
    4,
    2,
    5,
    4,
    5,
    2,
    3,
    3,
    4,
    3,
    2,
    2,
    3,
    3,
    3,
    2,
    3,
    2,
    4,
    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,
    1,
    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,
    1,
    2,
    1,
    2,
    1,
    2,
    2,
    1,
    2,
    1,
    2,
    2,
    1,
    2,
    1,
    2,
    2,
    1,
    2,
    1,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    1,
    2,
    1,
    2,
    0,
    2,
    2,
    1,
    1,
    1,
    2,
    2,
    1,
    1,
    1,
    2,
    2,
    1,
    1,
    2,
    2,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    2,
    1,
    1,
    0,
    1,
    2,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    2,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    2,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    2,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    2,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    2,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    3,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    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,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    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": 4634,
   "min": 0,
   "max": 65385,
   "counts": [
    156334444,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    269,
    8060,
    38458,
    120619,
    315231,
    478805,
    2045200,
    4758216,
    8799314,
    16242124,
    19588913,
    23740184,
    24580795,
    24813814,
    25671982,
    26053536,
    28700244,
    30324610,
    35769032,
    40659944,
    44752184,
    39279875,
    62351978,
    53933833,
    54782940,
    58852510,
    54342911,
    60275656,
    59028354,
    61413785,
    61116213,
    61536192,
    62383578,
    50439144,
    53755014,
    57525765,
    62495263,
    62438174,
    60348049,
    60144933,
    52149131,
    55363732,
    51491562,
    47337681,
    28893717,
    26316662,
    36501150,
    32754147,
    27079750,
    23082465,
    19776812,
    16383940,
    13872373,
    9372643,
    8725052,
    7020603,
    7384179,
    6203732,
    5589019,
    4859528,
    4285581,
    3933869,
    3591222,
    2327418,
    3000468,
    1879525,
    2416211,
    2143058,
    2228376,
    2028450,
    1890361,
    1707943,
    1083987,
    1567905,
    1040123,
    1426577,
    1300434,
    1221703,
    1174635,
    1112350,
    1015706,
    822863,
    568389,
    840067,
    571925,
    757175,
    703203,
    631362,
    606276,
    551080,
    503259,
    311212,
    449416,
    404183,
    290483,
    291076,
    314208,
    280039,
    265192,
    241880,
    224013,
    148276,
    196971,
    177091,
    142127,
    153712,
    143367,
    133739,
    100737,
    107875,
    89856,
    104213,
    97642,
    89958,
    90338,
    83860,
    76642,
    66783,
    66694,
    81916,
    35026,
    60537,
    57825,
    54140,
    57110,
    54698,
    52160,
    47385,
    48547,
    46092,
    57471,
    49510,
    28051,
    40626,
    44987,
    40773,
    36820,
    37463,
    33559,
    31939,
    34708,
    32247,
    33001,
    30813,
    17578,
    31323,
    29757,
    29668,
    28941,
    25442,
    25405,
    26716,
    26024,
    24830,
    24423,
    22847,
    10926,
    22433,
    20699,
    20812,
    21091,
    19831,
    19239,
    19436,
    20057,
    19017,
    18979,
    19432,
    18058,
    8397,
    19206,
    17927,
    17719,
    17058,
    16076,
    17339,
    16459,
    15721,
    15686,
    16551,
    15452,
    7424,
    15716,
    16665,
    15396,
    15441,
    15627,
    15341,
    15387,
    15068,
    15680,
    13968,
    14473,
    6454,
    13629,
    14159,
    12922,
    12481,
    13280,
    12441,
    12861,
    11938,
    12420,
    11693,
    11465,
    4561,
    11225,
    10930,
    10947,
    10112,
    10820,
    10514,
    10699,
    10924,
    10333,
    10196,
    10340,
    4530,
    11393,
    10303,
    10595,
    9809,
    10165,
    10901,
    10397,
    10001,
    10690,
    11221,
    15463,
    20145,
    4790,
    7884,
    6995,
    7274,
    6101,
    7291,
    6820,
    6604,
    6920,
    6213,
    6090,
    5852,
    1337,
    6224,
    4984,
    5859,
    5853,
    5397,
    5520,
    4966,
    5044,
    4845,
    4861,
    4805,
    282,
    4412,
    4626,
    4439,
    4696,
    4338,
    4553,
    5370,
    5714,
    9579,
    15990,
    106912,
    955,
    172689,
    48085,
    7114,
    79,
    3,
    58,
    55,
    32,
    12,
    7,
    4,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    4,
    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,
    1,
    2,
    2,
    1,
    2,
    2,
    1,
    2,
    2,
    0,
    2,
    2,
    1,
    2,
    2,
    0,
    2,
    2,
    2,
    2,
    0,
    2,
    1,
    1,
    2,
    2,
    0,
    2,
    2,
    1,
    2,
    1,
    1,
    2,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    2,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    2,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    2,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    2,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    2,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    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,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    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,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    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,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    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,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    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,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    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,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    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,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    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,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    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,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    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,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    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,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    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,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    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,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    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,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    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,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    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,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    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,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    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,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    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,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    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,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    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,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    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,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    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,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    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,
    0,
    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,
    0,
    0,
    1,
    1,
    0,
    0,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    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": 5468,
   "min": 0,
   "max": 65522,
   "counts": [
    156334430,
    257,
    1159,
    1795,
    16583,
    138313,
    181124,
    776218,
    1233191,
    3807313,
    6548923,
    8487921,
    29290235,
    29679190,
    21066420,
    23570211,
    26864826,
    39557184,
    46381739,
    17479688,
    47614466,
    37469417,
    64995985,
    56803308,
    21923590,
    81484114,
    67339637,
    70433808,
    56049281,
    46337001,
    78835376,
    48226694,
    60423793,
    73396308,
    34159663,
    63009141,
    63190434,
    58770291,
    27514115,
    46964943,
    54900794,
    23415295,
    40980770,
    38242637,
    20602828,
    37627308,
    19842430,
    33704276,
    15792322,
    21404400,
    26854206,
    11051611,
    17349984,
    15473061,
    14160587,
    10299052,
    15585117,
    14319193,
    3743675,
    14160155,
    9756706,
    4004515,
    9189711,
    9015803,
    4926385,
    7910521,
    5818885,
    4288199,
    9084959,
    4562341,
    6527877,
    4704619,
    2996747,
    6344496,
    1970363,
    4645628,
    5443190,
    1846825,
    4024657,
    3279005,
    4734100,
    1175346,
    3695010,
    3036903,
    2046820,
    3072253,
    2366579,
    1519106,
    3187032,
    2117747,
    2247275,
    1489216,
    2012455,
    1411682,
    1795753,
    960225,
    1896711,
    1476143,
    540322,
    1812846,
    579327,
    1165762,
    1527558,
    385578,
    1235678,
    1137767,
    469416,
    1074802,
    672622,
    736024,
    1010769,
    602233,
    517590,
    1007040,
    491998,
    494043,
    617871,
    625977,
    484585,
    564422,
    361233,
    420974,
    636533,
    375672,
    334283,
    636835,
    330772,
    282655,
    528267,
    135936,
    462237,
    364716,
    174840,
    443154,
    326839,
    100514,
    366277,
    103737,
    357416,
    296606,
    64592,
    305397,
    225186,
    135764,
    242499,
    201174,
    101547,
    197390,
    164808,
    115139,
    109754,
    195461,
    97649,
    134954,
    46612,
    130149,
    155065,
    54380,
    101090,
    124507,
    47650,
    108795,
    94603,
    60392,
    81460,
    85644,
    53283,
    65978,
    88805,
    29165,
    64299,
    72434,
    57840,
    58420,
    23278,
    70826,
    58817,
    12050,
    60327,
    49895,
    22037,
    34806,
    59345,
    32328,
    16227,
    40332,
    32562,
    25494,
    25340,
    28671,
    24117,
    28176,
    18988,
    23523,
    25091,
    29705,
    19979,
    15905,
    25101,
    27055,
    1763,
    25545,
    23092,
    2592,
    22761,
    21526,
    19904,
    5634,
    21384,
    18899,
    15164,
    6832,
    20484,
    14092,
    18197,
    8602,
    18864,
    12168,
    18496,
    7979,
    11999,
    18038,
    17379,
    1280,
    17072,
    17733,
    6124,
    11656,
    14098,
    16334,
    2757,
    15886,
    15436,
    11248,
    6982,
    16476,
    15132,
    9543,
    8445,
    15797,
    8951,
    15709,
    7961,
    9089,
    15585,
    6598,
    13611,
    9925,
    13292,
    5804,
    9528,
    12292,
    13014,
    1503,
    11677,
    12362,
    9198,
    4468,
    11092,
    11552,
    7642,
    4602,
    10373,
    7228,
    4496,
    9853,
    7101,
    9994,
    3609,
    9492,
    7662,
    9228,
    4017,
    7137,
    9547,
    10018,
    1850,
    9533,
    10570,
    9848,
    1239,
    10540,
    9857,
    7047,
    4209,
    9731,
    6926,
    4374,
    9765,
    10015,
    6671,
    7805,
    20850,
    6084,
    8967,
    2092,
    6607,
    5650,
    6956,
    2370,
    5449,
    6945,
    5510,
    1854,
    6705,
    5622,
    1915,
    6578,
    5246,
    6490,
    1275,
    5337,
    6205,
    5603,
    772,
    5361,
    5361,
    4981,
    578,
    4675,
    5000,
    5741,
    526,
    58669,
    173928,
    1440,
    70290,
    33619,
    14182,
    298,
    7478,
    4624,
    3297,
    100,
    1926,
    1377,
    1198,
    9,
    1067,
    895,
    599,
    9,
    213,
    125,
    13,
    2,
    10,
    9,
    3,
    8,
    7,
    5,
    4,
    2,
    2,
    3,
    2,
    3,
    4,
    2,
    3,
    2,
    2,
    3,
    2,
    2,
    2,
    3,
    2,
    2,
    3,
    2,
    3,
    2,
    3,
    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,
    3,
    2,
    2,
    3,
    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,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    1,
    2,
    1,
    2,
    1,
    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,
    0,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    1,
    0,
    2,
    0,
    1,
    0,
    2,
    0,
    1,
    2,
    2,
    1,
    2,
    2,
    2,
    1,
    2,
    2,
    0,
    1,
    2,
    2,
    1,
    1,
    2,
    1,
    1,
    2,
    1,
    0,
    1,
    2,
    0,
    0,
    1,
    2,
    1,
    2,
    2,
    0,
    1,
    0,
    2,
    0,
    0,
    2,
    1,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    1,
    1,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    1,
    0,
    2,
    0,
    0,
    1,
    2,
    1,
    1,
    1,
    1,
    1,
    0,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    1,
    2,
    1,
    1,
    1,
    2,
    1,
    0,
    0,
    2,
    0,
    1,
    2,
    1,
    0,
    0,
    2,
    0,
    0,
    1,
    1,
    1,
    1,
    2,
    1,
    1,
    0,
    2,
    0,
    0,
    2,
    1,
    0,
    0,
    2,
    0,
    0,
    2,
    1,
    0,
    0,
    2,
    2,
    1,
    0,
    2,
    1,
    0,
    2,
    1,
    0,
    0,
    2,
    0,
    1,
    2,
    1,
    0,
    0,
    2,
    0,
    1,
    1,
    2,
    1,
    0,
    2,
    1,
    1,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    2,
    0,
    1,
    2,
    0,
    1,
    1,
    2,
    1,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    0,
    1,
    1,
    2,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    2,
    0,
    0,
    2,
    0,
    1,
    1,
    2,
    0,
    0,
    2,
    0,
    0,
    1,
    2,
    1,
    0,
    1,
    2,
    0,
    0,
    2,
    0,
    0,
    1,
    2,
    1,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    1,
    1,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    0,
    0,
    1,
    2,
    1,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    0,
    2,
    1,
    0,
    1,
    2,
    1,
    0,
    1,
    1,
    0,
    1,
    2,
    0,
    1,
    1,
    2,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    1,
    0,
    2,
    2,
    0,
    0,
    2,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    1,
    2,
    0,
    0,
    1,
    1,
    1,
    0,
    2,
    1,
    1,
    1,
    2,
    0,
    0,
    1,
    2,
    0,
    0,
    2,
    1,
    0,
    1,
    2,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    1,
    0,
    1,
    2,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    1,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    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,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    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,
    1,
    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,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    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,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    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,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    1,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    3,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    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,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    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,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    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,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    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,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    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,
    1,
    0,
    0,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    0,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    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,
    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,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    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,
    1,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    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,
    0,
    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,
    1,
    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,
    0,
    0,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    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": 11984,
   "min": 0,
   "max": 65527,
   "counts": [
    13483,
    26576739,
    117483815,
    7593884,
    2371848,
    2294412,
    1,
    1,
    1,
    1,
    2,
    2,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    42,
    1,
    1,
    2,
    2,
    702,
    3221,
    58,
    2,
    2,
    2,
    2,
    1831,
    18868,
    6914,
    1173,
    17295,
    2,
    14835,
    2,
    41,
    107962,
    10462,
    44979,
    5771,
    3,
    73183,
    22439,
    118656,
    80467,
    2253,
    85350,
    3,
    2875,
    5708,
    352636,
    96762,
    37999,
    51503,
    3463,
    130348,
    27545,
    258356,
    371679,
    696,
    63611,
    83600,
    278484,
    5,
    551758,
    641509,
    108,
    97350,
    46259,
    32003,
    77045,
    1162967,
    897301,
    211691,
    78905,
    40739,
    8420,
    943913,
    333333,
    1775164,
    25686,
    63651,
    362560,
    1416,
    1354613,
    81180,
    17320,
    1924606,
    626330,
    118195,
    1521625,
    34059,
    553443,
    257189,
    1996093,
    366613,
    16823,
    2761821,
    152069,
    16958,
    359108,
    3447953,
    184917,
    1822074,
    26790,
    557106,
    1673833,
    527444,
    211048,
    3454090,
    1837829,
    1337569,
    208,
    999625,
    639523,
    2127362,
    5650873,
    326471,
    608607,
    687706,
    1892782,
    73585,
    782787,
    7243674,
    1022550,
    2129243,
    239714,
    294576,
    1001124,
    5484956,
    4836428,
    102889,
    1223314,
    20920,
    4498872,
    399758,
    3004042,
    54362,
    4751084,
    4154391,
    495687,
    1777876,
    2669974,
    679581,
    4284722,
    5338480,
    1083033,
    466394,
    4761620,
    3191614,
    1002358,
    836789,
    6047428,
    5663237,
    786228,
    3516498,
    288092,
    142293,
    6578179,
    1027502,
    7237842,
    370676,
    8372985,
    981031,
    1123458,
    1260048,
    406157,
    12461556,
    5045011,
    285994,
    2379338,
    483101,
    6221357,
    900631,
    7000056,
    6354669,
    8579569,
    1008165,
    24618,
    891161,
    1970838,
    11559890,
    8308967,
    259840,
    958571,
    2540353,
    8657363,
    2052671,
    3837540,
    8472853,
    1212705,
    9656503,
    1112173,
    1143511,
    6246288,
    9439944,
    10745550,
    1274005,
    1504224,
    519278,
    9420097,
    6989166,
    1481885,
    10547031,
    856603,
    10830510,
    4811896,
    59268,
    4830865,
    8628816,
    2212255,
    10736851,
    5417363,
    932866,
    13141927,
    2761177,
    1618222,
    5301065,
    9461750,
    9123208,
    1651443,
    8166983,
    6592024,
    9628670,
    376,
    10590931,
    1845197,
    10747430,
    10994882,
    1868180,
    1883828,
    1612466,
    696798,
    24248896,
    5891111,
    2607974,
    2059239,
    700920,
    17240579,
    421420,
    18044588,
    1157745,
    10244022,
    5922130,
    947740,
    3973781,
    2220475,
    25370710,
    6317039,
    121286,
    5104812,
    712598,
    11328255,
    12004682,
    2697727,
    10635439,
    12410090,
    95623,
    1216543,
    10026849,
    7165445,
    11810622,
    7884501,
    695,
    10351853,
    4388072,
    16815565,
    913574,
    97831,
    17087606,
    14646212,
    123679,
    1186019,
    7485644,
    11541811,
    12249696,
    7965672,
    1275154,
    602770,
    17225043,
    10767980,
    1562316,
    2433696,
    874503,
    13588242,
    16388771,
    5731265,
    1939806,
    1962254,
    16737829,
    6459226,
    8533000,
    5795445,
    1730097,
    18649304,
    6505997,
    108530,
    613286,
    6913282,
    25490927,
    8549122,
    515398,
    7240,
    12219626,
    5459375,
    13946489,
    7911638,
    746532,
    12020422,
    6794100,
    1398893,
    7213257,
    7400280,
    18684202,
    5619321,
    1364754,
    4814054,
    11096238,
    12854995,
    5616762,
    6248768,
    6160856,
    8302883,
    5710762,
    8167522,
    5901684,
    7075724,
    14321832,
    9573615,
    3090114,
    2208749,
    9765008,
    8600500,
    9448420,
    3087412,
    7974492,
    9038167,
    8415097,
    12825162,
    136760,
    3152556,
    8886851,
    12831777,
    8224741,
    1699820,
    5666360,
    8912894,
    9389545,
    8847747,
    5996500,
    5307690,
    5633928,
    9614691,
    11392927,
    1594143,
    4943373,
    263822,
    8694274,
    18990221,
    4162502,
    4757263,
    462545,
    4902185,
    9828724,
    18112124,
    4005881,
    3602240,
    177997,
    9757262,
    3856118,
    5217775,
    17680248,
    220721,
    9580677,
    3492708,
    507025,
    8114101,
    7581531,
    9177449,
    9491407,
    586354,
    4484144,
    3576524,
    11764326,
    6631818,
    182473,
    8080119,
    5086180,
    10484451,
    4168834,
    4995084,
    3205254,
    1025122,
    17112648,
    1520701,
    2327440,
    3343610,
    7383492,
    7374016,
    4990242,
    7804070,
    2276683,
    7729275,
    4788098,
    1484699,
    5933949,
    3861885,
    6951887,
    5453207,
    125758,
    7672086,
    4583758,
    7368379,
    202347,
    862605,
    9144766,
    4513724,
    7933564,
    1997873,
    811777,
    3438488,
    1237076,
    8733999,
    6153872,
    2906130,
    3594327,
    921742,
    4663987,
    259752,
    5586153,
    9360372,
    114554,
    5301497,
    442441,
    1886847,
    3080707,
    5150261,
    7415489,
    359527,
    1899232,
    3204814,
    2039044,
    7110069,
    31792,
    5648665,
    38883,
    2865528,
    3439549,
    1132523,
    4098941,
    1311758,
    701405,
    8405979,
    63222,
    2659611,
    2103651,
    548138,
    2628015,
    2531869,
    5133984,
    853869,
    346530,
    4436531,
    1826353,
    1694471,
    30955,
    3621732,
    2363742,
    3878118,
    358884,
    1518547,
    1955943,
    914967,
    3869533,
    265636,
    1605892,
    3677507,
    986624,
    948153,
    58580,
    349610,
    3958200,
    2644791,
    1470953,
    110480,
    874687,
    1359966,
    122258,
    5298175,
    460310,
    112152,
    1302960,
    237086,
    779068,
    1520287,
    3647766,
    1112731,
    566453,
    229159,
    795243,
    7889,
    2323378,
    613856,
    2541131,
    142939,
    735067,
    707969,
    798279,
    902167,
    148794,
    1850586,
    1153420,
    1012273,
    233076,
    905436,
    92092,
    559825,
    2400926,
    120797,
    222952,
    101036,
    1541418,
    404492,
    483918,
    1541272,
    137882,
    406452,
    871741,
    28030,
    861005,
    48026,
    683489,
    1296064,
    125933,
    551085,
    388115,
    489762,
    78197,
    406507,
    1156432,
    486007,
    725543,
    84860,
    67013,
    18624,
    248046,
    1184953,
    949831,
    69929,
    806,
    198877,
    164158,
    209031,
    404669,
    931835,
    159594,
    403711,
    44210,
    169617,
    15311,
    526984,
    819823,
    32090,
    24584,
    139550,
    443599,
    305626,
    26770,
    684971,
    602,
    266616,
    57570,
    24023,
    241832,
    206855,
    142486,
    711059,
    10820,
    22908,
    189601,
    106366,
    41230,
    253250,
    520886,
    32501,
    114128,
    161051,
    23066,
    49841,
    5723,
    540749,
    167791,
    146991,
    12943,
    78580,
    60947,
    6217,
    383017,
    10996,
    148587,
    200362,
    6500,
    10966,
    3654,
    61335,
    331226,
    125512,
    3443,
    10055,
    159429,
    24756,
    18695,
    347083,
    9568,
    44171,
    20932,
    2349,
    14401,
    119011,
    318510,
    1193,
    7228,
    2054,
    20025,
    27354,
    71653,
    99471,
    183219,
    20414,
    14186,
    907,
    2091,
    60433,
    14435,
    152905,
    96493,
    423,
    7935,
    59989,
    5824,
    1308,
    125047,
    7380,
    8759,
    85406,
    42378,
    813,
    15521,
    3524,
    102161,
    3954,
    46205,
    3714,
    71678,
    3927,
    6195,
    90046,
    5265,
    28683,
    4856,
    3588,
    8265,
    61681,
    66495,
    26577,
    3330,
    2109,
    6931,
    2,
    1774,
    56524,
    75627,
    1271,
    2428,
    940,
    1978,
    5304,
    18567,
    45246,
    47719,
    1040,
    2049,
    2570,
    474,
    17188,
    35953,
    4210,
    906,
    42851,
    1753,
    14882,
    1569,
    30722,
    769,
    1414,
    2863,
    2645,
    47378,
    1279,
    2,
    27843,
    2128,
    648,
    9278,
    45,
    1302,
    38873,
    23522,
    1255,
    168,
    8447,
    548,
    1526,
    1108,
    22627,
    306292,
    6461,
    1683,
    1702,
    6700,
    521,
    16448,
    767,
    5952,
    69962,
    387,
    747,
    1057,
    329,
    19826,
    761,
    317,
    76628,
    2093,
    51,
    1026,
    15795,
    621,
    1995,
    181,
    379,
    112576,
    65,
    15314,
    75,
    528,
    113,
    1149,
    2143,
    2693,
    108258,
    8918,
    41,
    2619,
    251,
    218,
    2302,
    1558,
    8236,
    54169,
    2,
    49,
    3042,
    201,
    691,
    6284,
    38,
    511,
    17778,
    2150,
    117,
    193,
    285,
    5257,
    336,
    1550,
    227,
    3794,
    420,
    349,
    4205,
    158,
    1524,
    104,
    158,
    1418,
    33,
    3760,
    1735,
    2,
    155,
    42,
    193,
    207,
    3771,
    1147,
    9,
    198,
    163,
    232,
    252,
    859,
    2796,
    628,
    49,
    125,
    187,
    151,
    825,
    2305,
    30,
    166,
    535,
    129,
    728,
    28,
    2001,
    89,
    190,
    197,
    64,
    1019,
    176,
    2,
    1640,
    47,
    87,
    1337,
    2,
    346,
    127,
    1356,
    245,
    12,
    510,
    120,
    68,
    143,
    1282,
    171,
    467,
    124,
    139,
    14,
    60,
    9,
    1068,
    747,
    3,
    37,
    133,
    121,
    64,
    1355,
    2,
    7,
    194,
    13,
    81,
    47,
    1214,
    101,
    21,
    73,
    8,
    108,
    471,
    655,
    51,
    2,
    100,
    113,
    28,
    339,
    54,
    561,
    75,
    70,
    36,
    5,
    401,
    76,
    548,
    45,
    37,
    41,
    347,
    2,
    34,
    434,
    37,
    153,
    2,
    267,
    52,
    39,
    43,
    357,
    2,
    281,
    102,
    102,
    6,
    3,
    350,
    40,
    273,
    2,
    5,
    24,
    84,
    357,
    255,
    7,
    11,
    79,
    2,
    4,
    278,
    252,
    36,
    70,
    2,
    3,
    45,
    229,
    422,
    22,
    3,
    26,
    36,
    66,
    191,
    192,
    24,
    26,
    31,
    2,
    185,
    26,
    167,
    32,
    53,
    8,
    26,
    178,
    12,
    26,
    171,
    2,
    17,
    179,
    57,
    38,
    2,
    160,
    2,
    18,
    154,
    26,
    15,
    8,
    169,
    10,
    133,
    30,
    7,
    12,
    14,
    2,
    113,
    147,
    62,
    8,
    2,
    5,
    7,
    259,
    22,
    10,
    16,
    2,
    8,
    57,
    230,
    15,
    2,
    7,
    17,
    17,
    110,
    89,
    13,
    40,
    8,
    10,
    2,
    117,
    19,
    95,
    9,
    2,
    8,
    133,
    16,
    10,
    96,
    7,
    4,
    14,
    95,
    9,
    16,
    91,
    14,
    6,
    9,
    80,
    21,
    11,
    2,
    78,
    2,
    91,
    54,
    2,
    6,
    5,
    64,
    9,
    86,
    7,
    9,
    2,
    29,
    65,
    83,
    7,
    2,
    4,
    4,
    9,
    8,
    136,
    30,
    7,
    3,
    2,
    7,
    72,
    64,
    6,
    2,
    5,
    21,
    6,
    58,
    65,
    8,
    10,
    4,
    4,
    54,
    5,
    71,
    12,
    4,
    2,
    9,
    53,
    6,
    6,
    48,
    9,
    3,
    58,
    2,
    12,
    5,
    54,
    2,
    2,
    48,
    6,
    7,
    16,
    48,
    3,
    50,
    5,
    3,
    2,
    3,
    4,
    48,
    49,
    2,
    5,
    4,
    3,
    2,
    85,
    2,
    9,
    2,
    12,
    2,
    4,
    79,
    2,
    3,
    2,
    8,
    5,
    32,
    42,
    13,
    2,
    8,
    2,
    2,
    37,
    2,
    42,
    4,
    2,
    9,
    29,
    3,
    2,
    46,
    3,
    8,
    2,
    30,
    2,
    14,
    28,
    3,
    2,
    28,
    2,
    7,
    5,
    2,
    31,
    7,
    24,
    3,
    6,
    2,
    2,
    30,
    2,
    25,
    2,
    7,
    8,
    2,
    34,
    24,
    2,
    3,
    2,
    2,
    7,
    2,
    49,
    2,
    3,
    2,
    2,
    4,
    20,
    26,
    2,
    3,
    8,
    2,
    2,
    19,
    30,
    8,
    2,
    2,
    2,
    20,
    6,
    21,
    4,
    2,
    3,
    3,
    19,
    2,
    3,
    19,
    5,
    2,
    15,
    3,
    3,
    3,
    20,
    2,
    2,
    14,
    3,
    5,
    3,
    20,
    2,
    14,
    2,
    2,
    2,
    2,
    2,
    26,
    14,
    2,
    2,
    3,
    2,
    2,
    28,
    2,
    3,
    5,
    2,
    2,
    2,
    30,
    2,
    2,
    3,
    3,
    2,
    17,
    2,
    12,
    2,
    2,
    2,
    2,
    12,
    2,
    19,
    2,
    4,
    2,
    14,
    2,
    3,
    15,
    2,
    2,
    2,
    13,
    4,
    2,
    14,
    2,
    2,
    10,
    2,
    2,
    2,
    2,
    17,
    2,
    10,
    2,
    2,
    2,
    2,
    14,
    7,
    2,
    3,
    2,
    2,
    2,
    10,
    7,
    2,
    2,
    2,
    2,
    2,
    4,
    17,
    2,
    2,
    2,
    2,
    2,
    8,
    9,
    2,
    8,
    2,
    2,
    2,
    7,
    14,
    2,
    2,
    2,
    2,
    9,
    2,
    9,
    2,
    2,
    2,
    2,
    4,
    2,
    2,
    12,
    2,
    2,
    5,
    2,
    2,
    2,
    7,
    2,
    2,
    7,
    2,
    2,
    2,
    11,
    2,
    4,
    2,
    2,
    2,
    2,
    5,
    8,
    5,
    2,
    2,
    2,
    2,
    2,
    11,
    2,
    4,
    2,
    2,
    2,
    2,
    13,
    2,
    2,
    2,
    2,
    5,
    3,
    2,
    7,
    2,
    2,
    2,
    2,
    3,
    2,
    10,
    2,
    2,
    2,
    5,
    2,
    2,
    8,
    2,
    2,
    2,
    4,
    2,
    2,
    11,
    2,
    2,
    3,
    2,
    2,
    2,
    3,
    5,
    2,
    3,
    2,
    2,
    2,
    2,
    6,
    3,
    4,
    2,
    2,
    2,
    2,
    4,
    2,
    2,
    2,
    2,
    6,
    2,
    3,
    4,
    2,
    2,
    2,
    2,
    2,
    3,
    7,
    2,
    2,
    2,
    2,
    2,
    3,
    5,
    2,
    2,
    2,
    4,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    3,
    6,
    2,
    2,
    3,
    2,
    2,
    2,
    7,
    2,
    4,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    6,
    3,
    2,
    2,
    2,
    2,
    2,
    6,
    4,
    2,
    2,
    2,
    2,
    2,
    4,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    4,
    2,
    2,
    2,
    2,
    2,
    3,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    3,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    3,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    4,
    2,
    2,
    2,
    2,
    2,
    3,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    4,
    2,
    3,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    0,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    0,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    4,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    0,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    0,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    0,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    0,
    0,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    0,
    2,
    2,
    0,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    0,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    1,
    3,
    0,
    2,
    2,
    2,
    2,
    2,
    0,
    2,
    0,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    1,
    0,
    0,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    0,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    0,
    3,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    0,
    0,
    3,
    2,
    2,
    2,
    0,
    2,
    2,
    2,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    1,
    2,
    2,
    0,
    2,
    2,
    3,
    2,
    2,
    2,
    2,
    2,
    2,
    0,
    2,
    2,
    2,
    2,
    2,
    2,
    0,
    1,
    2,
    1,
    2,
    2,
    3,
    2,
    1,
    0,
    2,
    2,
    2,
    2,
    1,
    0,
    2,
    2,
    0,
    1,
    1,
    2,
    2,
    2,
    2,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    2,
    2,
    0,
    2,
    2,
    2,
    0,
    2,
    0,
    2,
    2,
    0,
    2,
    0,
    2,
    2,
    0,
    2,
    2,
    2,
    2,
    2,
    1,
    2,
    0,
    2,
    2,
    2,
    2,
    1,
    1,
    2,
    0,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    0,
    2,
    2,
    0,
    2,
    2,
    2,
    2,
    0,
    2,
    2,
    2,
    2,
    0,
    2,
    2,
    2,
    0,
    2,
    1,
    2,
    2,
    0,
    2,
    1,
    1,
    2,
    2,
    0,
    2,
    0,
    2,
    2,
    1,
    2,
    2,
    2,
    2,
    2,
    0,
    2,
    2,
    1,
    2,
    2,
    0,
    0,
    2,
    0,
    2,
    2,
    2,
    0,
    1,
    2,
    1,
    0,
    2,
    1,
    2,
    2,
    2,
    0,
    0,
    0,
    2,
    0,
    2,
    2,
    0,
    1,
    2,
    2,
    1,
    2,
    0,
    2,
    2,
    1,
    0,
    2,
    2,
    2,
    0,
    0,
    2,
    2,
    2,
    2,
    0,
    0,
    2,
    0,
    2,
    0,
    1,
    0,
    2,
    2,
    0,
    2,
    2,
    2,
    0,
    2,
    0,
    0,
    0,
    2,
    0,
    2,
    2,
    2,
    0,
    0,
    2,
    0,
    1,
    2,
    2,
    1,
    2,
    0,
    0,
    0,
    1,
    2,
    0,
    2,
    2,
    2,
    2,
    0,
    2,
    0,
    1,
    1,
    2,
    2,
    2,
    1,
    2,
    0,
    0,
    1,
    0,
    1,
    2,
    2,
    2,
    0,
    2,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    2,
    2,
    1,
    2,
    2,
    1,
    2,
    2,
    0,
    2,
    0,
    2,
    2,
    0,
    0,
    0,
    2,
    2,
    2,
    2,
    0,
    1,
    2,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    1,
    0,
    1,
    2,
    2,
    0,
    0,
    2,
    0,
    2,
    2,
    2,
    0,
    2,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    2,
    2,
    2,
    2,
    0,
    1,
    1,
    2,
    2,
    0,
    2,
    0,
    2,
    0,
    2,
    0,
    0,
    2,
    2,
    0,
    0,
    2,
    0,
    2,
    0,
    2,
    0,
    2,
    2,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    2,
    2,
    2,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    0,
    2,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    2,
    2,
    2,
    2,
    0,
    1,
    0,
    2,
    0,
    0,
    0,
    1,
    2,
    2,
    2,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    2,
    2,
    1,
    1,
    2,
    1,
    2,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    0,
    2,
    2,
    1,
    0,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    1,
    1,
    0,
    2,
    0,
    2,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    2,
    2,
    0,
    0,
    2,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    1,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    2,
    2,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    2,
    2,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    2,
    0,
    0,
    2,
    0,
    0,
    1,
    2,
    1,
    1,
    0,
    2,
    2,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    1,
    2,
    1,
    0,
    0,
    2,
    0,
    0,
    2,
    2,
    0,
    0,
    2,
    0,
    0,
    2,
    1,
    0,
    0,
    2,
    2,
    1,
    0,
    1,
    2,
    1,
    2,
    0,
    0,
    0,
    2,
    1,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    2,
    1,
    1,
    1,
    0,
    2,
    0,
    2,
    0,
    2,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    0,
    2,
    1,
    2,
    0,
    0,
    0,
    0,
    1,
    1,
    2,
    1,
    2,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    0,
    1,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    2,
    1,
    1,
    2,
    0,
    1,
    2,
    1,
    0,
    0,
    2,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    2,
    0,
    2,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    2,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    2,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    2,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    2,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    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,
    1,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    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,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    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,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    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,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    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,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    0,
    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,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    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,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    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,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    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,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    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,
    1,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    2,
    1,
    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,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    2,
    1,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    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,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    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,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    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,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    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,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    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,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    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,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    1,
    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,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    2,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    1,
    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,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    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,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    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,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    1,
    0,
    1,
    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,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    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,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    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,
    1,
    0,
    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,
    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,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    2,
    1,
    0,
    0,
    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,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    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,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    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,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    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,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    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,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    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,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    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,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    2,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    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,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    2,
    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,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    2,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    2,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    2,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    2,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    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,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    0,
    0,
    0,
    1,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    0,
    0,
    0,
    0,
    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,
    0,
    1,
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    0,
    0,
    1,
    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,
    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,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0
   ]
  }
 ]
}