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     },
     {
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     },
     {
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       2448,
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       1129,
       4798,
       3518,
       2433,
       1176,
       3515,
       2811,
       2252,
       1183,
       143,
       1536,
       2278,
       3644,
       21,
       2750,
       1534,
       267,
       1254,
       1407,
       218,
       3121,
       1820,
       2246,
       28,
       1199,
       2216,
       495,
       39,
       4106,
       2789,
       1124,
       43,
       1826,
       9657,
       5131,
       794,
       949,
       1654,
       3238,
       1394,
       2383,
       3980,
       1749,
       2781,
       326,
       1427,
       800,
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       2286,
       2452,
       1417,
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       1262,
       3010,
       4639,
       1843,
       1070,
       10067,
       211,
       1942,
       10911,
       2946,
       2600,
       9140,
       4074,
       219,
       1520,
       691,
       492,
       1169,
       670,
       3833,
       25,
       1293,
       622,
       1526,
       3728,
       3075,
       1397,
       47,
       613,
       3911,
       242,
       3083,
       715,
       752,
       5323,
       1612,
       4200,
       4406,
       53,
       197,
       1378,
       4453,
       2070,
       3379,
       4792,
       2993,
       1419,
       794,
       3096,
       64,
       2636,
       5161,
       2954,
       1979,
       4252,
       5391,
       662,
       1711,
       43,
       2835,
       754,
       2760,
       2971,
       6926,
       1016,
       1377,
       1301,
       1818,
       2094,
       2632,
       152,
       1078,
       3690,
       944,
       2792,
       4024,
       38,
       2202,
       561,
       406,
       3134,
       2276,
       3179,
       763,
       1023,
       1468,
       4189,
       3127,
       714,
       1084,
       4821,
       235,
       4180,
       1145,
       1199,
       7929,
       4817,
       3360,
       4285,
       5107,
       2728,
       1835,
       4478,
       2949,
       3063,
       1267,
       3440,
       1821,
       1334,
       2281,
       5780,
       1624,
       3984,
       7379,
       3332,
       4562,
       2999,
       2967,
       4995,
       1226,
       650,
       2636,
       3687,
       2060,
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       1732,
       5639,
       7370,
       3530,
       611,
       1975,
       2729,
       4275,
       27,
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       1283,
       5287,
       4183,
       2930,
       1817,
       2606,
       7410,
       4482,
       2590,
       887,
       2266,
       5726,
       642,
       1697,
       5013,
       1073,
       81,
       4550,
       5373,
       3407,
       4170,
       6941,
       1632,
       29,
       4584,
       543,
       6688,
       3852,
       1756,
       1265,
       3654,
       14757,
       6888,
       5580,
       4330,
       4232,
       2599,
       2547,
       1400,
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       10428,
       1908,
       511,
       1954,
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       1127,
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       2422,
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       6145,
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       5992,
       1304,
       3150,
       435,
       2868,
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       33,
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       558,
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       43,
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       157,
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       2120,
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       3004,
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       1007,
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       3427,
       124,
       4564,
       243,
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       1524,
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       181,
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       2704,
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       2404,
       1884,
       1828,
       8927,
       1064,
       2562,
       1389,
       3397,
       5763,
       64,
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       7009,
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       1590,
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       7051,
       1031,
       122,
       2207,
       2403,
       2251,
       2239,
       5164,
       9489,
       2159,
       6498,
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       4339,
       1020,
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       3737,
       8199,
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       1124,
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       4461,
       3438,
       4139,
       1379,
       5384,
       3387,
       795,
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       2173,
       6948,
       1506,
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       3639,
       1933,
       3841,
       2696,
       2705,
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       220,
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       2452,
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       1207,
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       359,
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       839,
       7010,
       1818,
       971,
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       436,
       773,
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       1471,
       4835,
       2110,
       457,
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       1123,
       2385,
       4607,
       1625,
       2668,
       3882,
       3192,
       2298,
       1892,
       6119,
       884,
       2109,
       1799,
       1296,
       3155,
       2801,
       4188,
       1681,
       8694,
       1997,
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       2846,
       314,
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       1266,
       1999,
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       36,
       917,
       31,
       1936,
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       215,
       1645,
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       1991,
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       826,
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       5956,
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       2516,
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       3038,
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       762,
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       1285,
       4040,
       3527,
       397,
       33,
       5837,
       5456,
       480,
       1329,
       2209,
       680,
       110,
       1067,
       2867,
       2939,
       130,
       3281,
       2679,
       5946,
       2419,
       1248,
       1001,
       681,
       2438,
       1151,
       2550,
       1108,
       0,
       5121,
       2389,
       687,
       2796,
       1988,
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       34,
       194,
       3422,
       103,
       1964,
       37,
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       1253,
       1473,
       1594,
       934,
       2527,
       5393,
       628,
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       2638,
       3535,
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       4966,
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       2440,
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       664,
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       10399,
       3250,
       1293,
       678,
       3055,
       6798,
       767,
       8928,
       39,
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       0,
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       76,
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       566,
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       39,
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       3063,
       2989,
       725,
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       48,
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       5324,
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       4836,
       821,
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       3925,
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       314,
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       1984,
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       2019,
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       6194,
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       1058,
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       5482,
       27,
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       2741,
       3848,
       3751,
       3639,
       910,
       3920,
       344,
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       41,
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       48,
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       610,
       3809,
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       2474,
       5528,
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       2968,
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       1868,
       1221,
       3889,
       141,
       4140,
       4498,
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       1535,
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       1319,
       1023,
       2042,
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       1177,
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       1457,
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       25,
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       2161,
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       2226,
       2483,
       3574,
       1087,
       680,
       1443,
       3155,
       822,
       2577,
       2277,
       39,
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       3337,
       1404,
       47,
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       2593,
       8316,
       4379,
       1318,
       2697,
       3017,
       2760,
       4953,
       4559,
       3966,
       4858,
       999,
       1445,
       391,
       3246,
       8329,
       1193,
       3124,
       2355,
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       3759,
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       3040,
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       7181,
       6388,
       4805,
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       2038,
       1017,
       1595,
       4762,
       1751,
       927,
       2336,
       221,
       5857,
       2885,
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       3600,
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       4777,
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       2753,
       361,
       1548,
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       271,
       885,
       1072,
       6087,
       48,
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       3899,
       2180,
       2020,
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       3056,
       6214,
       1231,
       1612,
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       937,
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       3764,
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       5026,
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       5440,
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       786,
       2126,
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       558,
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       275,
       3752,
       4443,
       2833,
       3888,
       2576,
       2562,
       6899,
       1290,
       2326,
       2926,
       3647,
       36,
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       3374,
       3319,
       591,
       6301,
       576,
       1715,
       2156,
       1153,
       2280,
       7938,
       4701,
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       1471,
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       2618,
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       6015,
       3840,
       2799,
       2459,
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       6099,
       6381,
       4133,
       28,
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       6759,
       2037,
       4916,
       3233,
       4884,
       1961,
       2131,
       3477,
       1459,
       8190,
       2260,
       5175,
       409,
       3997,
       3074,
       352,
       1547,
       40,
       1061,
       36,
       3331,
       274,
       2694,
       2088,
       3556,
       1795,
       4022,
       464,
       1542,
       886,
       3758,
       1482,
       1591,
       2640,
       1237,
       1213,
       2628,
       2643,
       1194,
       4362,
       100,
       2932,
       5414,
       300,
       3547,
       3124,
       5219,
       2546,
       1498,
       42,
       1066,
       3118,
       2219,
       1956,
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       2686,
       5032,
       4106,
       67,
       3988,
       65,
       914,
       6526,
       1705,
       3778,
       3504,
       1638,
       2677,
       2349,
       536,
       1872,
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       1914,
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       3076,
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       6287,
       2886,
       963,
       2900,
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       2631,
       4911,
       921,
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       6447,
       5318,
       3357,
       3882,
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       3599,
       2229,
       3311,
       6008,
       4706,
       2593,
       2137,
       2308,
       4843,
       1338,
       3572,
       1070,
       1241,
       994,
       32,
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       2554,
       1620,
       5117,
       1862,
       3860,
       9641,
       77,
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       4015,
       2161,
       926,
       4550,
       1425,
       1837,
       2419,
       2705,
       3142,
       3004,
       3535,
       4296,
       1108,
       711,
       1294,
       700,
       48,
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       2816,
       3574,
       932,
       4164,
       32,
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       2564,
       291,
       2741,
       3338,
       828,
       2721,
       2019,
       1733,
       3970,
       5348,
       1899,
       3050,
       1782,
       2353,
       5234,
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       997,
       2411,
       4746,
       3869,
       5802,
       337,
       4432,
       1278,
       4165,
       8804,
       796,
       7704,
       769,
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       488,
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       2817,
       925,
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       883,
       522,
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       523,
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       762,
       3356,
       510,
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       4280,
       4005,
       1462,
       1776,
       6222,
       1678,
       39,
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       1196,
       138,
       1489,
       1281,
       1953,
       3246,
       3064,
       4645,
       192,
       2470,
       73,
       1049,
       3176,
       6150,
       713,
       5839,
       3737,
       4412,
       1004,
       4015,
       1843,
       230,
       2355,
       5204,
       2546,
       3671,
       2395,
       2587,
       1452,
       269,
       5813,
       1729,
       123,
       650,
       4174,
       3033,
       2082,
       105,
       3469,
       1623,
       4667,
       2439,
       3283,
       2101,
       644,
       9072,
       2350,
       1818,
       4099,
       3737,
       1311,
       3676,
       1068,
       2424,
       3231,
       224,
       3745,
       287,
       3674,
       3007,
       5103,
       5805,
       2563,
       4044,
       3155,
       5382,
       4301,
       4194,
       3125,
       1341,
       1657,
       1557,
       1095,
       2740,
       1495,
       759,
       3850,
       6549,
       2781,
       4655,
       464,
       4077,
       2147,
       2738,
       1754,
       3828,
       1506,
       7189,
       7707,
       3484,
       1339,
       668,
       3738,
       172,
       1680,
       3391,
       1231,
       4127,
       170,
       2040,
       3646,
       255,
       5376,
       193,
       6777,
       2880,
       3306,
       4038,
       4595,
       2225,
       3479,
       3750,
       5334,
       210,
       4579,
       5848,
       7005,
       2132,
       5093,
       8066,
       1059,
       3572,
       2996,
       5300,
       1855,
       5696,
       2792,
       1752,
       3038,
       1302,
       1820,
       2285,
       1558,
       2304,
       4838,
       3056,
       2298,
       1048,
       8193,
       2949,
       876,
       928,
       7231,
       2460,
       380,
       1636,
       399,
       1593,
       1702,
       5915,
       702,
       814,
       10236,
       5632,
       2750,
       1360,
       6927,
       401,
       320,
       3717,
       7492,
       3676,
       1941,
       5161,
       3803,
       31,
       515,
       5645,
       2993,
       936,
       47,
       1594,
       1270,
       2724,
       40,
       1262,
       4871,
       2333,
       2561,
       67,
       5375,
       1939,
       2816,
       3228,
       855,
       7146,
       2268,
       2296,
       5925,
       1036,
       2307,
       1755,
       34,
       1526,
       356,
       2743,
       2002,
       266,
       1748,
       569,
       3123,
       2164,
       658,
       2208,
       5152,
       3324,
       2109,
       822,
       1135,
       1773,
       3577,
       336,
       2880,
       2987,
       5438,
       854,
       6698,
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       3722,
       1663,
       4830,
       5744,
       1886,
       915,
       5174,
       797,
       3141,
       5448,
       2629,
       3447,
       33,
       1894,
       1151,
       2994,
       74,
       2667,
       697,
       1686,
       2304,
       162,
       1814,
       335,
       4370,
       471,
       4466,
       5514,
       1114,
       466,
       3214,
       4751,
       35,
       3355,
       4402,
       1434,
       698,
       1112,
       1529,
       4192,
       3033,
       840,
       8093,
       232,
       3814,
       4387,
       4669,
       2258,
       524,
       2962,
       1152,
       2578,
       1306,
       43,
       185,
       702,
       7628,
       2975,
       2812,
       6048,
       1668,
       891,
       60,
       1604,
       2027,
       4790,
       2513,
       3341,
       3232,
       5941,
       44,
       4442,
       820,
       809,
       4967,
       5884,
       1905,
       1628,
       6364,
       3033,
       1829,
       5106,
       3201,
       2155,
       6880,
       2898,
       34,
       2960,
       1085,
       3379,
       3732,
       4076,
       3104,
       4526,
       6891,
       355,
       307,
       659,
       4655,
       1668,
       3275,
       1518,
       1503,
       3123,
       274,
       1519,
       3653,
       2740,
       2759,
       2727,
       2188,
       1220,
       2776,
       1288,
       1389,
       758,
       5302,
       2624,
       1804,
       913,
       1530,
       90,
       3670,
       5444,
       2925,
       5798,
       5475,
       3716,
       3132,
       2775,
       6394,
       99,
       6844,
       2277,
       2595,
       3622,
       4479,
       4288,
       688,
       27,
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       3794,
       273,
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       1803,
       1923,
       4372,
       1510,
       366,
       2958,
       2402,
       3017,
       4520,
       6388,
       7261,
       1550,
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       2834,
       1644,
       1419,
       613,
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       3166,
       695,
       7979,
       2608,
       813,
       5828,
       297,
       4477,
       3564,
       2232,
       4814,
       3151,
       1990,
       1785,
       2704,
       1202,
       364,
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       4609,
       2715,
       3508,
       35,
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       6001,
       314,
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       5547,
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       342,
       3100,
       37,
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       4874,
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       2340,
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       4405,
       3071,
       1498,
       8232,
       5028,
       769,
       6595,
       596,
       2748,
       1095,
       169,
       1898,
       2601,
       4969,
       814,
       5442,
       299,
       6034,
       1832,
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       1328,
       2187,
       169,
       2367,
       4182,
       1529,
       788,
       822,
       2787,
       7036,
       23,
       725,
       5568,
       6800,
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       5067,
       3085,
       645,
       1476,
       29,
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       4552,
       3257,
       3156,
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       3597,
       4459,
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       1788,
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       9390,
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       1048,
       6379,
       2489,
       288,
       5375,
       1031,
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       1989,
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       5795,
       4203,
       2978,
       2397,
       1913,
       1912,
       560,
       1347,
       1367,
       1960,
       1927,
       1717,
       4391,
       5462,
       4731,
       3808,
       638,
       1401,
       237,
       1448,
       4040,
       5606,
       2623,
       3057,
       3164,
       2142,
       209,
       33,
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       3805,
       2083,
       873,
       1365,
       1296,
       2003,
       2963,
       1336,
       2613,
       1122,
       1563,
       2172,
       834,
       2622,
       3766,
       1326,
       3680,
       1427,
       1309,
       39,
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       3312,
       1740,
       5629,
       2889,
       1147,
       3073,
       1748,
       2304,
       5455,
       3633,
       1686,
       2599,
       3187,
       2911,
       525,
       1441,
       4981,
       2123,
       7025,
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       3274,
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       2487,
       3548,
       5641,
       1930,
       2985,
       9595,
       889,
       1573,
       3213,
       537,
       4475,
       1274,
       1682,
       7608,
       34,
       2934,
       3149,
       1276,
       298,
       2439,
       335,
       687,
       2624,
       2356,
       3358,
       3523,
       4882,
       2460,
       4970,
       2540,
       1606,
       959,
       38,
       191,
       64,
       1007,
       3325,
       3853,
       412,
       2855,
       3726,
       1251,
       1579,
       1470,
       5283,
       402,
       2588,
       1903,
       1479,
       554,
       1991,
       3218,
       5005,
       5100,
       1417,
       39,
       2281,
       1841,
       648,
       4052,
       8184,
       317,
       209,
       1480,
       3946,
       1357,
       1021,
       2811,
       3874,
       1677,
       751,
       1864,
       3205,
       2301,
       80,
       4345,
       2228,
       1465,
       2486,
       553,
       2330,
       4440,
       3779,
       6746,
       1264,
       2639,
       5322,
       2074,
       2054,
       893,
       2885,
       1551,
       4776,
       29,
       213,
       957,
       634,
       2956,
       1044,
       2716,
       144,
       5064,
       1210,
       1018,
       1749,
       286,
       2420,
       6258,
       963,
       2248,
       9927,
       834,
       2268,
       9536,
       4415,
       976,
       4989,
       3118,
       38,
       205,
       461,
       3973,
       2025,
       46,
       2430,
       689,
       2059,
       967,
       2350,
       4649,
       1759,
       5916,
       34,
       4866,
       3248,
       6087,
       5576,
       1203,
       3358,
       3486,
       2092,
       3474,
       2617,
       5752,
       78,
       5216,
       91,
       5013,
       3386,
       829,
       2261,
       200,
       3452,
       4798,
       3219,
       1399,
       5443,
       31,
       1504,
       4711,
       1066,
       1394,
       4574,
       3029,
       207,
       571,
       1557,
       2974,
       2527,
       1822,
       902,
       1905,
       7572,
       2141,
       2396,
       5053,
       3739,
       4280,
       2165,
       4257,
       5768,
       4064,
       2097,
       1641,
       46,
       6797,
       5323,
       42,
       2875,
       2218,
       1233,
       1396,
       1306,
       3735,
       7252,
       3199,
       3180,
       1201,
       2355,
       2706,
       4105,
       3455,
       176,
       1154,
       2371,
       2025,
       5323,
       2405,
       1549,
       53,
       3526,
       53,
       3301,
       2287,
       1222,
       1417,
       993,
       3555,
       333,
       454,
       4272,
       68,
       1346,
       7359,
       2333,
       4750,
       1423,
       1406,
       2725,
       2505,
       1016,
       4523,
       5207,
       1515,
       5626,
       2587,
       5057,
       7751,
       1961,
       1994,
       2346,
       5448,
       1580,
       2532,
       2248,
       4242,
       50,
       492,
       844,
       42,
       336,
       1097,
       6535,
       2415,
       324,
       1347,
       1044,
       125,
       5453,
       2940,
       2951,
       4395,
       2686,
       823,
       6916,
       7122,
       667,
       5463,
       2839,
       5506,
       7419,
       43,
       1435,
       3418,
       5597,
       1712,
       47,
       4565,
       79,
       788,
       2454,
       1036,
       129,
       1715,
       656,
       2274,
       128,
       2162,
       1277,
       720,
       657,
       1401,
       3705,
       7058,
       2576,
       5103,
       3496,
       304,
       425,
       1521,
       3104,
       8158,
       5129,
       6497,
       1415,
       1512,
       5334,
       3566,
       937,
       2086,
       2168,
       50,
       5935,
       1586,
       4330,
       4413,
       7996,
       3170,
       3741,
       781,
       3742,
       2540,
       3357,
       3991,
       3333,
       2205,
       601,
       828,
       5604,
       2149,
       1747,
       4651,
       1111,
       6607,
       2698,
       1813,
       1076,
       78,
       1504,
       2072,
       2985,
       5794,
       7744,
       4694,
       348,
       1622,
       591,
       942,
       3119,
       3821,
       3704,
       8544,
       3834,
       1657,
       1525,
       2929,
       2254,
       3694,
       1433,
       1911,
       6412,
       3998,
       7784,
       2325,
       2575,
       692,
       4977,
       1113,
       1809,
       290,
       2456,
       4569,
       5074,
       2175,
       371,
       928,
       1080,
       974,
       5335,
       2181,
       1811,
       3018,
       330,
       486,
       44,
       3154,
       2836,
       4339,
       5302,
       2577,
       2215,
       285,
       3308,
       3179,
       4229,
       5314,
       35,
       5137,
       771,
       3787,
       2006,
       869,
       65,
       7595,
       1482,
       2707,
       2113,
       239,
       4670,
       2672,
       52,
       4814,
       3927,
       217,
       2429,
       4423,
       4715,
       204,
       4469,
       10086,
       2910,
       4411,
       1692,
       708,
       210,
       1810,
       6618,
       2304,
       3607,
       2016,
       3545,
       1063,
       54,
       796,
       2027,
       398,
       2365,
       5705,
       2325,
       1466,
       1502,
       490,
       3247,
       1701,
       7636,
       2607,
       609,
       1047,
       161,
       2114,
       1321,
       1475,
       3876,
       2660,
       5862,
       5005,
       872,
       54,
       2748,
       5901,
       3653,
       3691,
       1223,
       919,
       5622,
       2451,
       427,
       4325,
       4447,
       3044,
       245,
       714,
       4006,
       6742,
       61,
       4032,
       1286,
       38,
       3679,
       6062,
       3815,
       2324,
       5514,
       3724,
       2742,
       4639,
       76,
       646,
       401,
       86,
       7469,
       1408,
       4800,
       1654,
       417,
       1471,
       2870,
       1445,
       3172,
       8716,
       3749,
       735,
       1354,
       3342,
       5422,
       1447,
       6822,
       1083,
       3606,
       4888,
       2807,
       2789,
       50,
       2708,
       724,
       3053,
       5166,
       4855,
       2424,
       55,
       3634,
       862,
       3292,
       2970,
       2741,
       137,
       2161,
       2748,
       354,
       1605,
       180,
       3532,
       5283,
       696,
       2260,
       5375,
       749,
       3738,
       6126,
       1379,
       3420,
       332,
       3614,
       2731,
       2912,
       784,
       2440,
       5280,
       2772,
       1324,
       1167,
       3364,
       4586,
       245,
       4334,
       865,
       5009,
       2258,
       392,
       1366,
       24,
       4402,
       515,
       1744,
       1410,
       701,
       520,
       4972,
       4659,
       1974,
       95,
       2700,
       2889,
       424,
       1073,
       5916,
       5673,
       3506,
       816,
       3061,
       1943,
       6717,
       608,
       3178,
       851,
       11061,
       406,
       4485,
       1986,
       4673,
       1522,
       5484,
       2197,
       2485,
       536,
       700,
       848,
       2604,
       1339,
       5027,
       1672,
       331,
       1940,
       2370,
       2800,
       6310,
       43,
       4297,
       34,
       2463,
       2964,
       122,
       2070,
       1723,
       35,
       3023,
       2585,
       1940,
       2495,
       5103,
       3661,
       829,
       3664,
       3309,
       5997,
       4828,
       656,
       5803,
       4445,
       1207,
       988,
       4129,
       1624,
       245,
       2909,
       1053,
       2640,
       808,
       1377,
       6051,
       4504,
       3087,
       5099,
       7020,
       1309,
       1833,
       1838,
       2622,
       5624,
       1944,
       7704,
       1374,
       1897,
       2616,
       6567,
       2298,
       1754,
       862,
       1703,
       2717,
       2732,
       8888,
       36,
       3825,
       581,
       3347,
       2714,
       7477,
       1562,
       3272,
       4742,
       4222,
       1872,
       1239,
       1693,
       3495,
       18,
       5298,
       5705,
       762,
       7830,
       1729,
       4780,
       993,
       1794,
       356,
       985,
       1695,
       1412,
       1361,
       1510,
       2932,
       6311,
       3222,
       1780,
       767,
       3829,
       2032,
       1483,
       1732,
       4362,
       1612,
       1606,
       5340,
       1958,
       746,
       1008,
       5291,
       617,
       1329,
       2093,
       2553,
       2696,
       5581,
       107,
       1394,
       1526,
       182,
       1293,
       3988,
       35,
       2601,
       3893,
       2822,
       4285,
       1533,
       502,
       2073,
       2685,
       1821,
       3164,
       4932,
       869,
       3975,
       2501,
       9068,
       8899,
       831,
       445,
       4282,
       532,
       2214,
       4159,
       1208,
       1550,
       170,
       8058,
       1065,
       2267,
       2067,
       985,
       2289,
       1797,
       2882,
       2245,
       1012,
       1263,
       2700,
       755,
       48,
       1643,
       724,
       5166,
       152,
       2119,
       2834,
       3658,
       1081,
       4099,
       2760,
       8213,
       1464,
       367,
       3257,
       1630,
       897,
       1613,
       4319,
       52,
       3072,
       2574,
       1526,
       907,
       733,
       360,
       1278,
       3998,
       4097,
       292,
       2747,
       2743,
       1124,
       3664,
       464,
       756,
       4375,
       5047,
       2202,
       3722,
       2359,
       5296,
       3916,
       3713,
       751,
       2785,
       4191,
       3564,
       3342,
       0,
       3271,
       944,
       1710,
       8183,
       50,
       767,
       2223,
       612,
       2709,
       1210,
       1732,
       3367,
       6279,
       1352,
       2191,
       8159,
       2124,
       1375,
       1188,
       3933,
       2771,
       3382,
       884,
       2267,
       4173,
       4072,
       3985,
       5386,
       1999,
       5522,
       1687,
       3570,
       3595,
       1854,
       1953,
       1414,
       2582,
       2769,
       6329,
       862,
       3620,
       1610,
       2859,
       5171,
       2017,
       394,
       407,
       1073,
       1431,
       3435,
       30,
       1874,
       4772,
       496,
       2520,
       3544,
       7348,
       7458,
       1102,
       2157,
       349,
       47,
       3406,
       1490,
       4687,
       1360,
       558,
       5246,
       45,
       2232,
       1585,
       29,
       2061,
       1667,
       2882,
       4756,
       39,
       4505,
       4077,
       5490,
       4024,
       2917,
       4077,
       24,
       1002,
       501,
       2273,
       526,
       129,
       3860,
       653,
       1030,
       1327,
       2769,
       2906,
       2644,
       4435,
       2302,
       1252,
       2728,
       975,
       3311,
       3019,
       2629,
       5940,
       344,
       588,
       4117,
       4641,
       3327,
       2023,
       3719,
       351,
       3379,
       1725,
       5537,
       3988,
       3382,
       1443,
       3403,
       4094,
       5203,
       4785,
       3135,
       5344,
       2306,
       3016,
       3279,
       41,
       2238,
       3707,
       1364,
       2088,
       4522,
       370,
       2649,
       997,
       5182,
       2723,
       3359,
       2541,
       2061,
       5000,
       62,
       1128,
       1344,
       1873,
       4089,
       89,
       2995,
       6838,
       5176,
       3215,
       3444,
       4703,
       3169,
       2591,
       778,
       5514,
       80,
       3103,
       1325,
       3012,
       3409,
       1879,
       1890,
       1441,
       5820,
       1900,
       2321,
       5484,
       3509,
       1262,
       4204,
       2027,
       868,
       5155,
       1520,
       1322,
       793,
       3638,
       691,
       4252,
       1936,
       3482,
       2702,
       3621,
       3104,
       3157,
       900,
       575,
       958,
       658,
       623,
       2347,
       4630,
       82,
       4802,
       1180,
       2271,
       4091,
       4480,
       834,
       2751,
       979,
       1468,
       4686,
       3066,
       3109,
       2092,
       257,
       1579,
       5121,
       3121,
       1323,
       1046,
       2685,
       1524,
       1994,
       363,
       3909,
       3103,
       2745,
       3648,
       3075,
       290,
       9180,
       7673,
       2970,
       5568,
       448,
       4773,
       563,
       4981,
       2036,
       3683,
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       6194,
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       3923,
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       4443,
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       5262,
       6760,
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       6117,
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       634,
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       3932,
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       8292,
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       4346,
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       5431,
       2928,
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       291,
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       3794,
       4121,
       6275,
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       2046,
       1485,
       1011,
       3387,
       28,
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       455,
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       4070,
       3758,
       1935,
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       5377,
       311,
       3856,
       1984,
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       540,
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       1923,
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       3522,
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       4733,
       3551,
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       5419,
       2112,
       5216,
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       1026,
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       3846,
       2110,
       4380,
       5564,
       3387,
       5072,
       1268,
       6594,
       3433,
       916,
       526,
       523,
       1040,
       7438,
       2573,
       3359,
       4546,
       211,
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       2160,
       2881,
       5515,
       1118,
       495,
       2183,
       3455,
       5281,
       2654,
       42,
       428,
       1433,
       2549,
       5230,
       57,
       5587,
       208,
       3490,
       1316,
       1593,
       2657,
       1221,
       4447,
       1847,
       660,
       4444,
       338,
       3190,
       1481,
       1520,
       878,
       8768,
       1491,
       3484,
       729,
       8006,
       4021,
       1288,
       3187,
       3754,
       3778,
       3232,
       3555,
       4066,
       2668,
       4438,
       2681,
       2538,
       42,
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       2693,
       1660,
       5130,
       2241,
       4428,
       4738,
       597,
       3538,
       5734,
       2809,
       7186,
       488,
       4447,
       1208,
       4464,
       350,
       3425,
       7089,
       1499,
       1613,
       9544,
       2699,
       1167,
       1882,
       150,
       6575,
       3142,
       165,
       3547,
       3169,
       894,
       502,
       5378,
       4092,
       6250,
       5639,
       7004,
       2102,
       4186,
       3627,
       3670,
       1564,
       2501,
       3263,
       3497,
       3037,
       2233,
       1726,
       2515,
       2078,
       43,
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       2838,
       2346,
       2627,
       1023,
       260,
       4261,
       945,
       1155,
       4691,
       367,
       245,
       601,
       1060,
       784,
       5519,
       6483,
       867,
       2414,
       23,
       5864,
       1884,
       4825,
       2185,
       3254,
       639,
       1129,
       3842,
       106,
       152,
       3066,
       288,
       175,
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     },
     {
      "counters": [
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       760,
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       2680,
       1233,
       714,
       1078,
       945,
       3140,
       3104,
       3970,
       2583,
       2505,
       67,
       1287,
       3385,
       3721,
       2616,
       7867,
       1391,
       6338,
       5729,
       4183,
       1326,
       1847,
       1372,
       1214,
       1840,
       1021,
       3677,
       2618,
       3804,
       3701,
       2399,
       4554,
       416,
       2323,
       714,
       1551,
       2867,
       2661,
       797,
       4255,
       2047,
       701,
       4347,
       1282,
       5413,
       2668,
       999,
       820,
       1905,
       723,
       3583,
       2624,
       3881,
       1984,
       1226,
       6656,
       2430,
       3196,
       556,
       437,
       2455,
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       6176,
       3548,
       4144,
       1942,
       4848,
       7250,
       1077,
       4344,
       2780,
       3837,
       2001,
       3724,
       278,
       3014,
       2857,
       2490,
       7540,
       3346,
       502,
       1616,
       5265,
       1057,
       1668,
       2242,
       1485,
       1172,
       52,
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       153,
       72,
       2549,
       4544,
       2235,
       1048,
       3448,
       3907,
       133,
       3938,
       471,
       1028,
       3058,
       535,
       545,
       934,
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       2922,
       2796,
       4083,
       2470,
       4374,
       4023,
       4100,
       7034,
       2050,
       6976,
       3861,
       117,
       2461,
       1467,
       4675,
       2239,
       5064,
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       2087,
       1676,
       923,
       97,
       2828,
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       2232,
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       2115,
       4886,
       337,
       2230,
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       8799,
       3131,
       1100,
       1693,
       1494,
       2603,
       87,
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       1063,
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       5442,
       4853,
       1870,
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       1328,
       5334,
       121,
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       948,
       568,
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       2635,
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       976,
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       486,
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       99,
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       760,
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       4413,
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       7412,
       6130,
       1328,
       5151,
       2799,
       8403,
       2790,
       93,
       2112,
       682,
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       5299,
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       283,
       2332,
       863,
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       2264,
       2244,
       1979,
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       338,
       5857,
       977,
       1138,
       3535,
       1926,
       2336,
       8232,
       2280,
       5436,
       2303,
       2140,
       4788,
       78,
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       2310,
       2083,
       78,
       1660,
       833,
       3915,
       3106,
       1368,
       1601,
       2576,
       332,
       3050,
       1311,
       2128,
       1559,
       2877,
       4668,
       2668,
       3092,
       895,
       1866,
       2465,
       1226,
       1462,
       2115,
       5409,
       1501,
       3538,
       988,
       3180,
       5236,
       2718,
       1134,
       1067,
       7137,
       6389,
       4970,
       5013,
       3985,
       4146,
       3216,
       2977,
       4706,
       2730,
       825,
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       1441,
       2245,
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       1239,
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       933,
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       1549,
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       8428,
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       2070,
       1823,
       675,
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       9535,
       2456,
       1815,
       1127,
       1151,
       708,
       2953,
       105,
       1057,
       908,
       3151,
       4502,
       198,
       454,
       2186,
       5226,
       2595,
       2684,
       928,
       2024,
       1646,
       814,
       1929,
       1388,
       2061,
       1861,
       58,
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       1033,
       2063,
       3485,
       480,
       6778,
       604,
       3704,
       3332,
       2654,
       1501,
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       6738,
       4265,
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       5227,
       64,
       4007,
       184,
       3119,
       4980,
       1274,
       2865,
       255,
       1276,
       2254,
       2937,
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       415,
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       2505,
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       3660,
       5402,
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       4487,
       763,
       94,
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       859,
       4233,
       1338,
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       1235,
       2890,
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       2662,
       414,
       5783,
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       5179,
       5554,
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       1418,
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       1358,
       8425,
       4140,
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       849,
       6288,
       3163,
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       1227,
       6449,
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       1986,
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       2240,
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       6247,
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       1039,
       5201,
       852,
       3192,
       4508,
       3581,
       5158,
       95,
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       878,
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       914,
       2115,
       2992,
       185,
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       365,
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       80,
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       5542,
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       498,
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       1077,
       2523,
       4544,
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       4256,
       3875,
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       623,
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       4705,
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       1187,
       1757,
       1058,
       297,
       227,
       740,
       7080,
       2988,
       2831,
       3672,
       2836,
       917,
       665,
       1688,
       1567,
       2407,
       2432,
       3478,
       3335,
       5980,
       84,
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       854,
       840,
       4965,
       3914,
       1577,
       2492,
       10389,
       2362,
       1838,
       5221,
       3291,
       2293,
       5624,
       1456,
       68,
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       1119,
       5681,
       2672,
       4058,
       2397,
       4717,
       5687,
       99,
       347,
       608,
       3571,
       1393,
       2653,
       86,
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       3159,
       887,
       2069,
       4130,
       1994,
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       1439,
       1768,
       300,
       2814,
       1324,
       3821,
       839,
       5351,
       4233,
       852,
       937,
       998,
       142,
       3712,
       4237,
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       5844,
       5744,
       3433,
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       6450,
       145,
       6891,
       2518,
       3002,
       1951,
       4312,
       4336,
       680,
       47,
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       1662,
       64,
       4017,
       3409,
       1620,
       2072,
       3734,
       1591,
       394,
       2157,
       90,
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       3244,
       7343,
       8164,
       1556,
       6262,
       5094,
       1169,
       2034,
       5298,
       2831,
       2747,
       1157,
       1554,
       3598,
       3168,
       944,
       8372,
       2717,
       860,
       4149,
       322,
       4564,
       2953,
       1827,
       4281,
       2843,
       1914,
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       2514,
       1719,
       413,
       5042,
       4690,
       3109,
       3530,
       80,
       2470,
       6040,
       1320,
       1799,
       5668,
       4469,
       391,
       2544,
       82,
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       476,
       4878,
       3885,
       1979,
       4839,
       2154,
       4102,
       1827,
       2304,
       11106,
       1303,
       947,
       6498,
       644,
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       1927,
       2632,
       4962,
       440,
       8328,
       341,
       5780,
       4782,
       3090,
       1404,
       3743,
       694,
       1276,
       198,
       3285,
       3296,
       1828,
       831,
       868,
       2865,
       7149,
       59,
       760,
       5609,
       6816,
       632,
       4354,
       3657,
       733,
       2093,
       1850,
       917,
       865,
       1647,
       2832,
       800,
       4576,
       3193,
       2447,
       2396,
       76,
       5963,
       3132,
       1032,
       4757,
       4507,
       2669,
       1369,
       459,
       2723,
       704,
       298,
       4273,
       913,
       5097,
       6951,
       7113,
       3768,
       2038,
       1843,
       460,
       7281,
       2518,
       138,
       2566,
       1139,
       4348,
       1702,
       235,
       7021,
       3110,
       3081,
       2372,
       1858,
       1935,
       272,
       1085,
       1463,
       2050,
       77,
       1255,
       2874,
       5467,
       3391,
       3572,
       100,
       1218,
       283,
       1333,
       7453,
       5602,
       2804,
       1707,
       3200,
       5334,
       122,
       84,
       4355,
       5023,
       3858,
       96,
       1377,
       1400,
       1102,
       2035,
       3621,
       1385,
       1657,
       1285,
       1606,
       2219,
       855,
       5675,
       2963,
       1599,
       3744,
       1497,
       1355,
       80,
       2218,
       3236,
       1731,
       5705,
       2806,
       1202,
       3121,
       1733,
       1364,
       4054,
       4756,
       1728,
       2244,
       2808,
       4096,
       533,
       639,
       2841,
       2165,
       6080,
       2877,
       932,
       4705,
       3501,
       7010,
       5756,
       1212,
       3530,
       5521,
       1944,
       2344,
       10418,
       728,
       603,
       3236,
       1734,
       3060,
       97,
       2327,
       6825,
       83,
       4002,
       3456,
       1593,
       340,
       2426,
       441,
       724,
       2674,
       2802,
       3731,
       3572,
       2370,
       2483,
       4920,
       2509,
       1896,
       878,
       471,
       717,
       58,
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       2664,
       4501,
       162,
       2867,
       3752,
       1264,
       1666,
       2737,
       2713,
       1447,
       2642,
       1942,
       525,
       615,
       2047,
       2547,
       4162,
       5123,
       849,
       92,
       982,
       2766,
       1646,
       2472,
       8454,
       570,
       917,
       397,
       3095,
       72,
       735,
       2853,
       3850,
       1697,
       153,
       1840,
       3351,
       3590,
       960,
       4263,
       2254,
       1508,
       2127,
       402,
       2330,
       5363,
       4876,
       7655,
       1317,
       2703,
       5359,
       900,
       1378,
       943,
       1940,
       1590,
       7367,
       79,
       240,
       811,
       668,
       2922,
       1087,
       1603,
       170,
       4504,
       3223,
       1046,
       3392,
       329,
       1654,
       5719,
       1033,
       3028,
       10116,
       925,
       3505,
       8789,
       4612,
       1110,
       6504,
       2553,
       93,
       239,
       486,
       2120,
       1569,
       73,
       2470,
       749,
       1655,
       285,
       2426,
       4694,
       2613,
       4627,
       92,
       5424,
       3287,
       6086,
       3174,
       1060,
       3014,
       2869,
       1461,
       3378,
       4655,
       5805,
       1001,
       5260,
       124,
       2710,
       3322,
       3798,
       2311,
       242,
       2658,
       2354,
       3235,
       4136,
       2702,
       65,
       1561,
       6978,
       155,
       1211,
       4653,
       2683,
       293,
       1154,
       1550,
       3903,
       0,
       1404,
       942,
       1930,
       6444,
       3392,
       2361,
       4175,
       3789,
       4439,
       2190,
       5742,
       5842,
       6046,
       2142,
       547,
       76,
       6846,
       4235,
       95,
       2905,
       2455,
       2740,
       1451,
       1218,
       3760,
       5669,
       2687,
       2858,
       1291,
       2441,
       2752,
       4166,
       3598,
       208,
       1133,
       401,
       1707,
       5427,
       2616,
       1604,
       87,
       3549,
       87,
       1318,
       1353,
       1241,
       1445,
       1190,
       3604,
       380,
       491,
       3910,
       1372,
       1389,
       6793,
       3299,
       4849,
       1544,
       71,
       2894,
       2543,
       1048,
       5227,
       5755,
       1528,
       5673,
       2650,
       5085,
       4053,
       1977,
       1986,
       2383,
       5465,
       1501,
       3651,
       2279,
       4260,
       92,
       524,
       889,
       89,
       1367,
       1132,
       6561,
       2493,
       898,
       1214,
       1089,
       185,
       2177,
       1250,
       3111,
       4449,
       2383,
       1904,
       7024,
       6527,
       716,
       5520,
       2027,
       5504,
       7355,
       85,
       1482,
       2292,
       5680,
       1923,
       72,
       3680,
       113,
       931,
       2620,
       1082,
       158,
       1999,
       118,
       4871,
       173,
       2218,
       1314,
       1508,
       698,
       1211,
       5016,
       3952,
       2871,
       5116,
       3711,
       927,
       1200,
       1534,
       3135,
       7003,
       4935,
       6535,
       1510,
       1565,
       5380,
       2573,
       972,
       986,
       625,
       90,
       3017,
       1621,
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       3788,
       7641,
       2817,
       3486,
       775,
       2923,
       611,
       3416,
       3132,
       3375,
       1790,
       1231,
       1889,
       5640,
       2991,
       1669,
       4642,
       1254,
       5486,
       2161,
       1897,
       1123,
       1008,
       1597,
       2396,
       3154,
       5495,
       7802,
       4680,
       259,
       1275,
       421,
       126,
       3188,
       1414,
       4205,
       7640,
       3871,
       1694,
       771,
       4037,
       2301,
       6673,
       1442,
       2038,
       5539,
       4000,
       3201,
       2358,
       2494,
       731,
       5497,
       341,
       1242,
       749,
       1194,
       5513,
       2451,
       2198,
       396,
       967,
       1062,
       1028,
       5423,
       2165,
       1672,
       3161,
       470,
       838,
       1257,
       3681,
       2433,
       4384,
       4664,
       2046,
       1086,
       1541,
       2177,
       3588,
       4001,
       5615,
       72,
       5166,
       1038,
       3802,
       1979,
       907,
       116,
       7921,
       2681,
       1313,
       3101,
       286,
       1761,
       2424,
       1249,
       7863,
       4221,
       70,
       1576,
       3613,
       4751,
       241,
       4969,
       8010,
       2998,
       2477,
       1615,
       750,
       246,
       1825,
       7276,
       5022,
       3740,
       2027,
       3577,
       1090,
       535,
       572,
       1052,
       437,
       2863,
       5192,
       230,
       1521,
       1944,
       477,
       2932,
       1690,
       9387,
       2659,
       686,
       1204,
       962,
       2152,
       1296,
       1563,
       3940,
       2665,
       6374,
       4140,
       927,
       76,
       2698,
       4724,
       3361,
       4429,
       466,
       914,
       4271,
       2499,
       1443,
       4347,
       3555,
       2013,
       292,
       3308,
       3926,
       8006,
       98,
       3747,
       945,
       97,
       3718,
       5922,
       691,
       1334,
       5589,
       4660,
       2827,
       4669,
       114,
       667,
       907,
       123,
       5256,
       1449,
       4841,
       1079,
       460,
       1464,
       5419,
       2033,
       3953,
       9637,
       5224,
       733,
       1572,
       4704,
       6437,
       1382,
       6967,
       2229,
       3611,
       6939,
       2859,
       1487,
       372,
       4023,
       755,
       2888,
       4341,
       4324,
       2363,
       875,
       3775,
       879,
       3133,
       2948,
       2941,
       175,
       2204,
       6219,
       939,
       1629,
       100,
       2100,
       5329,
       638,
       2389,
       4759,
       748,
       3758,
       4293,
       1433,
       756,
       299,
       3463,
       2618,
       2984,
       5858,
       2482,
       3805,
       2794,
       1348,
       1047,
       2796,
       4504,
       293,
       4124,
       970,
       7152,
       1215,
       421,
       653,
       64,
       6589,
       579,
       1771,
       2582,
       1012,
       721,
       5019,
       7140,
       2017,
       136,
       2728,
       2979,
       514,
       1107,
       5913,
       6425,
       3541,
       854,
       3113,
       2708,
       6750,
       632,
       3144,
       898,
       8392,
       467,
       4540,
       2047,
       4675,
       613,
       5811,
       773,
       2523,
       270,
       987,
       895,
       3268,
       1003,
       4641,
       3623,
       436,
       1885,
       2418,
       2885,
       3112,
       155,
       4351,
       56,
       2279,
       746,
       147,
       2088,
       3873,
       89,
       2949,
       2211,
       1990,
       443,
       5468,
       3875,
       1178,
       3942,
       3399,
       5985,
       4126,
       700,
       6318,
       4624,
       1236,
       361,
       4152,
       1659,
       282,
       2721,
       1047,
       1473,
       789,
       958,
       5094,
       5179,
       2727,
       5306,
       5719,
       340,
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       178,
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       187,
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       7153,
       1112,
       246,
       74,
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       7125,
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       5782,
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       7749,
       773,
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       7484,
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       932,
       590,
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       1313,
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       764,
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       6698,
       6796,
       4691,
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       1629,
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       6832,
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       4151,
       1166,
       659,
       5901,
       2051,
       3504,
       2596,
       4487,
       1869,
       5155,
       1048,
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       2928,
       1007,
       873,
       3581,
       69,
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       3796,
       1151,
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       218,
       1973,
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       170,
       242,
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       1409,
       3910,
       5516,
       460,
       87,
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       4796,
       3911,
       4927,
       1703,
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       3322,
       2229,
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       4756,
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       378,
       1018,
       2720,
       2640,
       150,
       4055,
       935,
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       3022,
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       1216,
       1782,
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       4255,
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       5710,
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       245,
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       3664,
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       4657,
       2389,
       241,
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       6922,
       3968,
       1301,
       2445,
       3376,
       3316,
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       4190,
       5424,
       1714,
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       2738,
       9228,
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       4844,
       1410,
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       3840,
       712,
       4317,
       1839,
       3724,
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       2879,
       4243,
       1269,
       1375,
       1274,
       3858,
       56,
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       9928,
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       2336,
       6855,
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       2332,
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       2292,
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       2896,
       3522,
       58,
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       3493,
       1509,
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       1502,
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       6901,
       671,
       3043,
       9464,
       70,
       84,
       1293,
       1515,
       131,
       2264,
       2458,
       5945,
       2400,
       146,
       547,
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       2794,
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       3018,
       1567,
       5373,
       8985,
       419,
       3935,
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       3032,
       2704,
       132,
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       822,
       5137,
       3404,
       2110,
       3086,
       2928,
       977,
       477,
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       603,
       6412,
       2110,
       1191,
       3587,
       1185,
       1468,
       3436,
       1025,
       1963,
       6382,
       4709,
       3608,
       648,
       2122,
       3508,
       279,
       1914,
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       1636,
       1098,
       2125,
       897,
       4089,
       5713,
       1128,
       2990,
       5660,
       6791,
       4332,
       2480,
       2784,
       1268,
       7042,
       4235,
       1870,
       1318,
       1115,
       54,
       5815,
       3159,
       1377,
       275,
       5437,
       2573,
       645,
       1298,
       2082,
       2478,
       2584,
       2895,
       1729,
       2762,
       3393,
       3486,
       4567,
       3029,
       1292,
       1320,
       357,
       1145,
       2197,
       2894,
       678,
       129,
       1564,
       3083,
       4525,
       8997,
       728,
       4575,
       80,
       2724,
       6955,
       1373,
       3584,
       3408,
       3557,
       1747,
       911,
       1293,
       1186,
       3031,
       1942,
       2705,
       88,
       1572,
       7050,
       655,
       74,
       7310,
       1748,
       1579,
       479,
       2303,
       2767,
       2206,
       1440,
       8556,
       5326,
       1247,
       3090,
       2496,
       6075,
       4929,
       2495,
       79,
       1112,
       4181,
       2318,
       861,
       4473,
       7491,
       4336,
       3573,
       5108,
       2101,
       51,
       2809,
       3975,
       1552,
       1168,
       3454,
       2079,
       2586,
       3669,
       1058,
       3391,
       3653,
       6505,
       4922,
       1892,
       7847,
       2382,
       1280,
       5021,
       2297,
       1125,
       78,
       7511,
       3758,
       436,
       2864,
       7212,
       3551,
       1051,
       764,
       1453,
       3621,
       1666,
       10409,
       1831,
       77,
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       4379,
       6202,
       214,
       2552,
       736,
       2203,
       3250,
       875,
       3609,
       2839,
       3048,
       1745,
       5649,
       4007,
       2705,
       1423,
       3920,
       5291,
       746,
       2511,
       1915,
       3527,
       670,
       3167,
       2399,
       6712,
       1751,
       61,
       2995,
       1159,
       1870,
       523,
       624,
       1614,
       83,
       2946,
       1368,
       1269,
       2833,
       2658,
       2030,
       1534,
       1734,
       1331,
       5247,
       439,
       631,
       2627,
       99,
       7711,
       1796,
       3591,
       3970,
       2998,
       667,
       79,
       2369,
       3412,
       3443,
       1540,
       1345,
       1330,
       2467,
       4083,
       461,
       456,
       656,
       4330,
       95,
       725,
       2710,
       2632,
       4360,
       2135,
       1213,
       2168,
       4972,
       2700,
       858,
       1203,
       3130,
       3193,
       3472,
       5235,
       7214,
       2074,
       3138,
       3128,
       1040,
       920,
       2180,
       4293,
       177,
       2331,
       697,
       2139,
       2016,
       1995,
       1651,
       3584,
       4417,
       4374,
       3180,
       3984,
       2168,
       1386,
       2780,
       925,
       4141,
       550,
       1006,
       3017,
       2057,
       6645,
       421,
       6101,
       3146,
       3576,
       4890,
       3486,
       3921,
       549,
       3447,
       4568,
       3125,
       533,
       6497,
       1493,
       2479,
       3158,
       1288,
       2317,
       697,
       2852,
       1251,
       3649,
       4122,
       90,
       3399,
       4266,
       4029,
       94,
       2111,
       4001,
       1779,
       628,
       692,
       3695,
       4670,
       4138,
       6096,
       2804,
       3952,
       97,
       1955,
       2073,
       3646,
       1260,
       4121,
       4257,
       2001,
       5220,
       2732,
       2408,
       3764,
       2221,
       2796,
       6816,
       2371,
       1370,
       3554,
       3124,
       1131,
       2451,
       1437,
       4165,
       3841,
       3052,
       3250,
       4874,
       1435,
       3437,
       572,
       3592,
       1345,
       2572,
       4644,
       1547,
       2293,
       5398,
       1453,
       5261,
       2492,
       4354,
       2781,
       2270,
       2867,
       986,
       2778,
       79,
       197,
       3965,
       1488,
       1184,
       4464,
       1025,
       1276,
       923,
       2013,
       3189,
       305,
       5578,
       4358,
       1703,
       3017,
       1762,
       2598,
       5228,
       6612,
       1166,
       3758,
       3672,
       604,
       1092,
       6338,
       643,
       4906,
       895,
       905,
       2397,
       4413,
       1670,
       5805,
       2876,
       1672,
       646,
       5229,
       1822,
       4110,
       288,
       2686,
       1314,
       3782,
       2478,
       1141,
       2731,
       951,
       6233,
       2271,
       1292,
       744,
       311,
       996,
       799,
       278,
       830,
       1548,
       4417,
       1352,
       3645,
       5595,
       5959,
       3116,
       3957,
       2318,
       1012,
       3929,
       3010,
       3297,
       530,
       60,
       1385,
       354,
       5548,
       272,
       3361,
       1755,
       1150,
       1549,
       989,
       1340,
       4313,
       971,
       3792,
       3856,
       2111,
       452,
       1846,
       2077,
       2833,
       4411,
       5440,
       1997,
       243,
       546,
       2459,
       574,
       119,
       1000,
       70,
       1123,
       2707,
       1014,
       727,
       136,
       3075,
       2938,
       2943,
       1105,
       1216,
       90,
       9167,
       884,
       1755,
       4883,
       1948,
       4327,
       3835,
       2043,
       1893,
       3647,
       1074,
       780,
       2195,
       76,
       3059,
       3706,
       2377,
       6031,
       7740,
       1411,
       3826,
       8321,
       5660,
       2258,
       2069,
       1766,
       706,
       4156,
       3990,
       2320,
       1196,
       1629,
       1389,
       4065,
       3863,
       1811,
       2291,
       650,
       68,
       693,
       6048,
       83,
       4231,
       636,
       908,
       180,
       190,
       3644,
       2875,
       1565,
       667,
       1674,
       2119,
       5112,
       5177,
       8333,
       2571,
       3313,
       3445,
       4050,
       1322,
       1142,
       750,
       8558,
       1559,
       9969,
       961,
       5615,
       1249,
       2494,
       1758,
       5390,
       3593,
       1330,
       4053,
       3057,
       778,
       1622,
       73,
       4698,
       547,
       2928,
       5160,
       2800,
       4163,
       730,
       1097,
       2344,
       2306,
       4826,
       3202,
       814,
       1595,
       7064,
       3993,
       1477,
       2612,
       7543,
       2548,
       4499,
       2689,
       2803,
       2523,
       896,
       2970,
       4094,
       109,
       2079,
       3333,
       3090,
       5618,
       1383,
       167,
       2396,
       3146,
       1898,
       5337,
       1138,
       903,
       2560,
       3895,
       5654,
       3497,
       2864,
       4081,
       3342,
       1498,
       1238,
       6483,
       290,
       3804,
       3482,
       1617,
       1820,
       2470,
       2819,
       2420,
       868,
       3376,
       2644,
       2443,
       1342,
       2278,
       4770,
       4422,
       4043,
       1329,
       619,
       2991,
       2886,
       1207,
       5791,
       4422,
       3141,
       5316,
       4679,
       246,
       492,
       1858,
       5439,
       906,
       4542,
       89,
       63,
       3695,
       2659,
       82,
       1141,
       1044,
       3724,
       3989,
       6950,
       2150,
       2335,
       6273,
       3343,
       661,
       3434,
       2682,
       4570,
       811,
       4344,
       1862,
       5263,
       867,
       4857,
       1300,
       1317,
       57,
       1520,
       5392,
       2878,
       1077,
       1780,
       1491,
       87,
       3746,
       988,
       2347,
       4074,
       150,
       1880,
       446,
       2746,
       2807,
       1254,
       1039,
       1089,
       802,
       2395,
       2837,
       1127,
       4998,
       4547,
       2967,
       5147,
       2816,
       1176,
       2053,
       2614,
       2779,
       5823,
       1154,
       1238,
       4376,
       3066,
       594,
       3078,
       4520,
       1253,
       10924,
       844,
       3388,
       1303,
       68,
       1936,
       7502,
       3831,
       876,
       1998,
       2478,
       1139,
       954,
       958,
       96,
       1600,
       314,
       1191,
       4591,
       4726,
       3827,
       5618,
       869,
       4534,
       5000,
       1534,
       1500,
       1667,
       2171,
       1842,
       234,
       1488,
       0,
       1057,
       2565,
       6545,
       6693,
       3351,
       5455,
       6271,
       9445,
       63,
       5409,
       7325,
       3309,
       216,
       2633,
       828,
       2782,
       2321,
       101,
       3667,
       818,
       103,
       1881,
       96,
       357,
       870,
       3015,
       1689,
       1098,
       2691,
       2077,
       1501,
       1028,
       1168,
       4556,
       579,
       2050,
       1343,
       2458,
       2272,
       1722,
       5332,
       1938,
       5382,
       5917,
       1508,
       6214,
       921,
       2123,
       3521,
       1270,
       2558,
       72,
       2988,
       7310,
       1481,
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     },
     {
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     },
     {
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       3540,
       73,
       1571,
       2122,
       4563,
       239,
       607,
       5436,
       1014,
       342,
       71,
       600,
       279,
       1218,
       387,
       2960,
       306,
       1553,
       4118,
       5535,
       6796,
       2597,
       3976,
       1634,
       1363,
       1815,
       385,
       4759,
       2749,
       3028,
       784,
       3736,
       5842,
       1545,
       4541,
       446,
       1243,
       8975,
       1267,
       3043,
       394,
       2681,
       1529,
       4441,
       347,
       2945,
       4864,
       510,
       1305,
       2328,
       2436,
       1254,
       1860,
       7638,
       2131,
       5473,
       792,
       3077,
       3352,
       156,
       1321,
       6134,
       598,
       1622,
       2765,
       6500,
       1049,
       153,
       1818,
       2457,
       2295,
       1591,
       3397,
       8546,
       3159,
       5219,
       79,
       3829,
       1980,
       466,
       3109,
       1077,
       876,
       5478,
       443,
       1812,
       1672,
       3705,
       8932,
       5219,
       1037,
       1655,
       2839,
       3603,
       4187,
       1968,
       5116,
       3796,
       772,
       2503,
       2231,
       5940,
       601,
       3690,
       6303,
       5163,
       3884,
       2658,
       1454,
       3889,
       317,
       1439,
       6327,
       3668,
       721,
       3182,
       2195,
       3459,
       2484,
       6003,
       4140,
       1998,
       1696,
       2412,
       282,
       3887,
       1469,
       3567,
       593,
       1645,
       6221,
       4082,
       635,
       7430,
       459,
       812,
       2494,
       1624,
       4876,
       2165,
       1728,
       1441,
       64,
       1634,
       2433,
       2493,
       1501,
       2161,
       5171,
       2211,
       1705,
       3843,
       2706,
       2234,
       1847,
       5533,
       918,
       1586,
       73,
       2230,
       3167,
       2982,
       4252,
       1761,
       8050,
       1996,
       1201,
       2903,
       406,
       6524,
       847,
       1003,
       615,
       79,
       960,
       71,
       2149,
       5231,
       280,
       1813,
       904,
       3073,
       2917,
       819,
       2100,
       920,
       1143,
       1123,
       1962,
       2094,
       4536,
       3849,
       4609,
       4905,
       2847,
       1503,
       5265,
       225,
       2919,
       4202,
       5596,
       1330,
       2573,
       2268,
       3557,
       1341,
       3867,
       3053,
       695,
       3542,
       1334,
       4072,
       3649,
       443,
       79,
       5894,
       4481,
       627,
       1668,
       2272,
       718,
       142,
       1767,
       3907,
       2938,
       158,
       3359,
       3675,
       5072,
       1067,
       1298,
       1072,
       4911,
       1057,
       850,
       3143,
       1362,
       3373,
       4713,
       2508,
       1421,
       2849,
       1138,
       2725,
       75,
       248,
       3687,
       152,
       1937,
       85,
       1140,
       2794,
       909,
       1703,
       930,
       3503,
       5621,
       665,
       1301,
       2692,
       2181,
       827,
       5128,
       5601,
       2482,
       1651,
       523,
       2072,
       5664,
       4370,
       2643,
       715,
       3297,
       2208,
       717,
       1252,
       9442,
       3216,
       1332,
       711,
       3157,
       5310,
       590,
       8773,
       84,
       3833,
       1051,
       3819,
       1528,
       1264,
       855,
       2720,
       5473,
       915,
       1516,
       615,
       5435,
       5909,
       4086,
       4045,
       106,
       4785,
       1490,
       3128,
       3110,
       3035,
       1412,
       1775,
       86,
       3017,
       1227,
       907,
       1955,
       1653,
       5826,
       4182,
       6025,
       3841,
       687,
       5397,
       2248,
       6379,
       3316,
       1244,
       767,
       129,
       3273,
       2002,
       2566,
       3134,
       626,
       1724,
       3968,
       139,
       5056,
       1354,
       441,
       2915,
       7605,
       108,
       1036,
       1303,
       861,
       1115,
       3119,
       3617,
       2954,
       322,
       2036,
       4522,
       3849,
       3348,
       3442,
       3477,
       2494,
       7617,
       1202,
       1136,
       5088,
       781,
       4956,
       5518,
       4449,
       1268,
       1063,
       426,
       3071,
       1777,
       112,
       1827,
       1990,
       3682,
       6362,
       3118,
       2151,
       360,
       109,
       539,
       3323,
       6349,
       4090,
       4542,
       4421,
       3623,
       4440,
       1343,
       1914,
       1958,
       2181,
       2848,
       5700,
       1680,
       4290,
       66,
       4044,
       3882,
       100,
       4142,
       5303,
       2744,
       3818,
       2733,
       2764,
       4578,
       3059,
       3072,
       4411,
       2399,
       655,
       747,
       1971,
       887,
       4751,
       6157,
       1010,
       2119,
       581,
       3812,
       1777,
       5116,
       2632,
       1628,
       720,
       4739,
       6279,
       6137,
       1706,
       1505,
       2264,
       3174,
       3980,
       2213,
       3079,
       830,
       2634,
       1407,
       4834,
       1467,
       614,
       7999,
       902,
       1080,
       2607,
       720,
       1766,
       804,
       990,
       85,
       1445,
       71,
       6571,
       844,
       2960,
       1940,
       3440,
       1337,
       5644,
       3689,
       2362,
       3482,
       74,
       5379,
       1658,
       1354,
       1071,
       2894,
       2760,
       6998,
       3508,
       3608,
       1333,
       4067,
       364,
       4425,
       72,
       1363,
       3593,
       70,
       684,
       2155,
       92,
       2640,
       758,
       3562,
       666,
       3855,
       2984,
       2536,
       7302,
       801,
       2747,
       3019,
       5107,
       781,
       1559,
       1258,
       2761,
       171,
       4062,
       4290,
       409,
       1579,
       1807,
       1020,
       2980,
       1892,
       2362,
       2102,
       1686,
       2533,
       1044,
       1730,
       3842,
       1182,
       2037,
       2083,
       4909,
       681,
       7181,
       4309,
       3220,
       1208,
       882,
       2927,
       2023,
       5272,
       1391,
       3725,
       4249,
       3151,
       2052,
       61,
       2076,
       2432,
       4353,
       3764,
       4429,
       2480,
       1099,
       1871,
       1627,
       1663,
       3492,
       3748,
       3605,
       1118,
       645,
       2142,
       4104,
       203,
       2670,
       3101,
       70,
       1011,
       4315,
       1448,
       99,
       4476,
       2646,
       8117,
       4404,
       2672,
       2057,
       3556,
       2760,
       5568,
       4527,
       3136,
       4268,
       1046,
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       454,
       5677,
       8007,
       1257,
       2960,
       2408,
       5704,
       813,
       1255,
       3499,
       5747,
       3678,
       4263,
       2689,
       1169,
       2956,
       3871,
       2679,
       877,
       4370,
       5826,
       5367,
       3590,
       6041,
       2676,
       3135,
       938,
       2593,
       2144,
       988,
       1609,
       8452,
       343,
       979,
       1954,
       81,
       6795,
       2932,
       3484,
       3033,
       2697,
       2661,
       872,
       2445,
       4777,
       3905,
       415,
       525,
       648,
       5139,
       3992,
       1416,
       4496,
       3936,
       4474,
       2531,
       2793,
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       1700,
       2835,
       1046,
       1326,
       128,
       5385,
       86,
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       4001,
       5089,
       2206,
       2033,
       2063,
       5574,
       2785,
       6641,
       1217,
       2592,
       1306,
       573,
       4692,
       2523,
       1447,
       1244,
       2923,
       2821,
       1062,
       3953,
       2346,
       8102,
       1147,
       1331,
       3737,
       3377,
       4646,
       5132,
       9084,
       1906,
       1531,
       5559,
       4385,
       337,
       4587,
       859,
       2168,
       3485,
       585,
       1140,
       327,
       4536,
       4470,
       1853,
       2359,
       2293,
       2795,
       6024,
       1508,
       3219,
       6136,
       3818,
       83,
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       1322,
       1958,
       628,
       6003,
       1243,
       1706,
       1435,
       1188,
       981,
       7939,
       3963,
       1175,
       722,
       3291,
       2300,
       2924,
       1121,
       6405,
       6076,
       3167,
       1512,
       2567,
       1324,
       8490,
       419,
       341,
       6193,
       6405,
       2782,
       97,
       1604,
       6841,
       1650,
       4978,
       3019,
       4915,
       3139,
       2165,
       3082,
       155,
       8784,
       1495,
       5192,
       3122,
       5200,
       3037,
       810,
       1611,
       191,
       74,
       86,
       3409,
       325,
       2638,
       1999,
       3159,
       1393,
       4345,
       118,
       1580,
       1175,
       4822,
       1534,
       390,
       3503,
       1347,
       1515,
       2650,
       3213,
       1222,
       5391,
       144,
       2983,
       5385,
       354,
       4120,
       3179,
       3222,
       2577,
       1533,
       2200,
       65,
       3550,
       2246,
       1615,
       1990,
       2724,
       5769,
       4077,
       366,
       4029,
       89,
       942,
       6560,
       1730,
       3707,
       2320,
       2058,
       3858,
       2395,
       578,
       667,
       6768,
       1843,
       5086,
       3099,
       2572,
       6179,
       1664,
       1030,
       594,
       2505,
       9957,
       1919,
       3718,
       879,
       3032,
       7603,
       683,
       5162,
       5167,
       3412,
       3901,
       1887,
       3636,
       2705,
       3426,
       3898,
       4751,
       5676,
       2171,
       2332,
       4862,
       1465,
       3875,
       1111,
       1362,
       1033,
       57,
       4534,
       5615,
       1217,
       6169,
       3028,
       4323,
       8320,
       113,
       2077,
       4138,
       2210,
       1811,
       4108,
       1919,
       1601,
       2502,
       2787,
       3211,
       2934,
       3557,
       4298,
       601,
       807,
       4025,
       2237,
       100,
       2344,
       2545,
       3609,
       960,
       3810,
       82,
       3729,
       2009,
       446,
       1434,
       3261,
       1498,
       3623,
       2063,
       1760,
       3007,
       6631,
       1930,
       1938,
       1924,
       2499,
       4913,
       1612,
       846,
       3726,
       3049,
       1051,
       2905,
       4901,
       4083,
       5874,
       331,
       4119,
       1145,
       3840,
       8919,
       834,
       7698,
       219,
       3159,
       1802,
       272,
       2225,
       3179,
       3806,
       963,
       888,
       1379,
       550,
       3450,
       4121,
       3328,
       2956,
       6632,
       891,
       396,
       3257,
       572,
       1000,
       696,
       2747,
       806,
       3150,
       1476,
       1722,
       4320,
       3736,
       606,
       2476,
       5294,
       507,
       2963,
       2717,
       1226,
       183,
       1861,
       2128,
       1604,
       3286,
       3072,
       4679,
       74,
       2295,
       111,
       1089,
       3225,
       6161,
       449,
       6443,
       2511,
       4471,
       735,
       4019,
       1764,
       1470,
       2280,
       5246,
       1573,
       3718,
       2677,
       2633,
       1568,
       2551,
       2637,
       1810,
       3960,
       3016,
       3706,
       2880,
       1230,
       158,
       3492,
       1492,
       4277,
       1626,
       3326,
       2511,
       929,
       9122,
       127,
       1870,
       4752,
       3974,
       87,
       5310,
       1184,
       2487,
       3197,
       272,
       3028,
       321,
       4810,
       2629,
       3795,
       5830,
       1899,
       4958,
       3197,
       6949,
       4318,
       4454,
       3368,
       1396,
       1245,
       312,
       392,
       4029,
       1613,
       759,
       3908,
       7424,
       2743,
       2688,
       500,
       4113,
       3636,
       2817,
       2204,
       4141,
       1505,
       7203,
       7726,
       3288,
       1369,
       584,
       3769,
       233,
       1721,
       3442,
       1242,
       6486,
       210,
       2195,
       2778,
       2154,
       5408,
       246,
       6798,
       2506,
       3353,
       7185,
       4726,
       1534,
       3510,
       3265,
       4559,
       239,
       4595,
       3459,
       7084,
       1710,
       4734,
       8110,
       2113,
       4204,
       2034,
       5374,
       1903,
       5746,
       4717,
       1389,
       3014,
       1730,
       1781,
       2122,
       1981,
       1906,
       4873,
       4220,
       2303,
       2544,
       7846,
       2986,
       870,
       956,
       4885,
       2506,
       3385,
       2147,
       2393,
       1071,
       1737,
       5953,
       900,
       1089,
       6372,
       5564,
       3875,
       1320,
       6179,
       3932,
       363,
       3288,
       7705,
       2505,
       1974,
       4914,
       5220,
       68,
       551,
       6947,
       3286,
       455,
       104,
       1212,
       2720,
       5885,
       84,
       1300,
       4176,
       2729,
       2017,
       106,
       4381,
       1991,
       1607,
       3397,
       897,
       6334,
       2272,
       1098,
       4648,
       1073,
       2349,
       1337,
       77,
       1556,
       388,
       2797,
       3013,
       2759,
       1744,
       213,
       4107,
       2159,
       714,
       2141,
       4948,
       3236,
       2059,
       862,
       2092,
       1553,
       3751,
       370,
       2929,
       2806,
       5444,
       774,
       7011,
       813,
       993,
       4471,
       164,
       2659,
       1248,
       4184,
       445,
       6617,
       1715,
       2407,
       3980,
       3562,
       2021,
       419,
       5471,
       5448,
       1069,
       3863,
       1957,
       8088,
       2566,
       1819,
       1337,
       4335,
       2635,
       91,
       7256,
       2293,
       1168,
       1163,
       2826,
       1797,
       9550,
       767,
       1224,
       2419,
       3283,
       3027,
       3613,
       1529,
       4511,
       2520,
       1336,
       5613,
       5025,
       7443,
       93,
       1072,
       5002,
       2547,
       6100,
       1234,
       6516,
       758,
       3217,
       3582,
       7323,
       1215,
       6149,
       3818,
       1561,
       3639,
       4859,
       978,
       2373,
       366,
       3087,
       7329,
       4050,
       3441,
       3121,
       800,
       1457,
       126,
       3747,
       719,
       711,
       210,
       4033,
       4328,
       5520,
       1462,
       74,
       2752,
       4112,
       660,
       1959,
       112,
       223,
       2681,
       5261,
       2116,
       4285,
       3467,
       1691,
       2887,
       86,
       5217,
       3132,
       1241,
       7494,
       519,
       284,
       2102,
       2485,
       920,
       276,
       2442,
       949,
       1817,
       85,
       1771,
       4242,
       2633,
       1221,
       1482,
       520,
       921,
       4696,
       3675,
       3573,
       576,
       3287,
       1877,
       65,
       1636,
       3294,
       4250,
       604,
       4155,
       3383,
       1085,
       4436,
       4395,
       2656,
       3084,
       5530,
       1001,
       2905,
       305,
       1115,
       7370,
       4109,
       684,
       531,
       3557,
       2657,
       4849,
       1009,
       6197,
       3721,
       6325,
       253,
       2664,
       1720,
       911,
       1620,
       542,
       2336,
       2228,
       2828,
       338,
       3795,
       4027,
       2577,
       3684,
       1739,
       1296,
       1061,
       1708,
       71,
       124,
       5113,
       3610,
       3452,
       2287,
       5576,
       3081,
       5132,
       4820,
       2958,
       422,
       1897,
       2756,
       2922,
       409,
       3367,
       377,
       385,
       4347,
       2181,
       1985,
       1272,
       1339,
       4126,
       5110,
       1085,
       771,
       882,
       2800,
       3386,
       250,
       3301,
       2882,
       406,
       1638,
       1940,
       1402,
       868,
       8437,
       1517,
       460,
       4466,
       2870,
       3815,
       508,
       4640,
       1057,
       1657,
       755,
       4142,
       71,
       2757,
       4261,
       312,
       900,
       2655,
       816,
       854,
       6339,
       1186,
       5575,
       5366,
       1670,
       1306,
       4786,
       3007,
       668,
       3928,
       541,
       1012,
       155,
       1358,
       1300,
       405,
       2156,
       5000,
       1428,
       5098,
       3018,
       2184,
       3958,
       2748,
       2416,
       5047,
       1283,
       2979,
       5274,
       3600,
       4035,
       225,
       4038,
       1873,
       5679,
       1724,
       1533,
       2734,
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       6615,
       4941,
       325,
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       6140,
       83,
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       3810,
       3129,
       2865,
       8217,
       5583,
       7494,
       4259,
       1320,
       2618,
       3648,
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       5363,
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       823,
       1038,
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       4403,
       150,
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       6361,
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       1721,
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       66,
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       2081,
       65,
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       1854,
       3983,
       2787,
       52,
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       1950,
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       288,
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       1128,
       643,
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       4211,
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       1300,
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       4109,
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       513,
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       3748,
       2668,
       3442,
       1075,
       5342,
       2476,
       5483,
       2783,
       4972,
       989,
       3586,
       282,
       162,
       3537,
       1734,
       1836,
       1088,
       3847,
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       79,
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       3125,
       461,
       2840,
       3614,
       1076,
       964,
       1986,
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       129,
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       548,
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       61,
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       7070,
       1558,
       3228,
       249,
       100,
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       2984,
       1036,
       104,
       5818,
       6637,
       2022,
       4700,
       836,
       593,
       2854,
       4410,
       170,
       4858,
       536,
       723,
       1319,
       1324,
       4172,
       2681,
       1468,
       915,
       2452,
       4871,
       3217,
       64,
       2547,
       909,
       1582,
       4149,
       2142,
       3957,
       3144,
       6714,
       2953,
       414,
       2370,
       1086,
       3165,
       1381,
       7044,
       1147,
       4535,
       6086,
       1549,
       79,
       868,
       463,
       1750,
       640,
       5793,
       1050,
       749,
       978,
       1087,
       2510,
       2151,
       3778,
       3028,
       72,
       2419,
       3133,
       4503,
       2215,
       3899,
       3766,
       3948,
       3844,
       3849,
       4532,
       487,
       161,
       4939,
       2227,
       1701,
       1153,
       2602,
       1384,
       1202,
       1736,
       595,
       531,
       5084,
       80,
       979,
       1720,
       3228,
       125,
       7113,
       1765,
       757,
       852,
       670,
       1652,
       171,
       2534,
       3001,
       2591,
       1828,
       1161,
       4077,
       1140,
       3924,
       6089,
       1775,
       3472,
       1264,
       797,
       1362,
       1045,
       5421,
       242,
       744,
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       2454,
       4918,
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       1032,
       4104,
       6438,
       102,
       3739,
       745,
       8195,
       1528,
       464,
       869,
       1256,
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       1058,
       2148,
       2207,
       5013,
       4393,
       4918,
       2309,
       6207,
       1575,
       720,
       3271,
       824,
       7298,
       1616,
       7980,
       2560,
       66,
       2782,
       6691,
       7504,
       1304,
       8779,
       714,
       2782,
       1939,
       263,
       7998,
       2343,
       4893,
       1106,
       3408,
       1397,
       4631,
       1294,
       5977,
       3129,
       65,
       90,
       104,
       2985,
       2735,
       2670,
       1648,
       133,
       5205,
       1448,
       1956,
       225,
       5571,
       1220,
       1058,
       3949,
       3101,
       3262,
       6061,
       59,
       3981,
       1304,
       6111,
       1242,
       1027,
       2728,
       3862,
       424,
       4155,
       2028,
       1616,
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       617,
       2080,
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       3386,
       2163,
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       4188,
       1591,
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       2396,
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       3886,
       948,
       3819,
       1435,
       2746,
       4175,
       2452,
       761,
       3166,
       1837,
       1166,
       1196,
       1741,
       2563,
       1882,
       1724,
       1646,
       3682,
       1477,
       2493,
       5049,
       2267,
       3317,
       75,
       2892,
       6021,
       3207,
       556,
       6583,
       2607,
       2111,
       2377,
       615,
       2716,
       62,
       3919,
       3720,
       3604,
       855,
       3569,
       140,
       421,
       4493,
       2382,
       2094,
       4192,
       2282,
       4645,
       1306,
       2076,
       2334,
       1006,
       5749,
       5717,
       675,
       2454,
       5447,
       1593,
       3954,
       297,
       3718,
       839,
       1266,
       2487,
       3671,
       2695,
       11646,
       1119,
       113,
       4240,
       2752,
       1070,
       687,
       4084,
       4018,
       2181,
       1099,
       2407,
       6812,
       2432,
       1147,
       946,
       1059,
       2510,
       925,
       1865,
       1119,
       7011,
       3735,
       3129,
       1020,
       1386,
       5623,
       2212,
       4592,
       71,
       255,
       672,
       396,
       2758,
       2539,
       1529,
       2184,
       2333,
       2442,
       1882,
       5686,
       3471,
       7746,
       4128,
       1986,
       5478,
       5915,
       7754,
       1786,
       2220,
       2753,
       1649,
       1445,
       883,
       5952,
       1892,
       1433,
       1374,
       1244,
       1421,
       3238,
       597,
       6214,
       5164,
       678,
       943,
       5468,
       4465,
       3509,
       2074,
       1435,
       87,
       2187,
       374,
       902,
       2102,
       2189,
       1965,
       2275,
       2529,
       3985,
       5098,
       4662,
       5696,
       3299,
       909,
       893,
       2103,
       3977,
       460,
       4909,
       68,
       4401,
       6660,
       130,
       743,
       1499,
       6326,
       2666,
       1315,
       4395,
       1496,
       462,
       1073,
       1978,
       1091,
       4254,
       1636,
       5929,
       919,
       4776,
       705,
       1380,
       3647,
       5164,
       1943,
       98,
       47,
       1236,
       5323,
       6247,
       6591,
       2222,
       1920,
       272,
       206,
       8066,
       1515,
       4039,
       86,
       4649,
       3900,
       2113,
       5297,
       1212,
       3081,
       1751,
       2755,
       4867,
       6284,
       2843,
       2185,
       1826,
       3562,
       3786,
       3480,
       695,
       1520,
       3408,
       1843,
       1874,
       1189,
       7892,
       4407,
       118,
       3417,
       5888,
       1314,
       5453,
       2902,
       4909,
       1983,
       5483,
       1686,
       1204,
       6068,
       4511,
       138,
       762,
       3671,
       68,
       8419,
       2434,
       94,
       989,
       1731,
       1632,
       3173,
       10843,
       609,
       84,
       1994,
       452,
       88,
       250,
       1238,
       5352,
       3264,
       4040,
       5007,
       2123,
       2660,
       1063,
       5085,
       2562,
       4581,
       4030,
       4779,
       4644,
       2846,
       245,
       598,
       518,
       3218,
       983,
       3767,
       2399,
       2593,
       1402,
       4228,
       4370,
       78,
       1164,
       4526,
       1294,
       8472,
       4347,
       151,
       2320,
       2409,
       3161,
       4932,
       1413,
       3178,
       2924,
       84,
       133,
       909,
       4949,
       172,
       2578,
       3777,
       892,
       6445,
       2087,
       2738,
       5056,
       2780,
       3831,
       6247,
       3052,
       687,
       2596,
       2566,
       1653,
       2031,
       10193,
       3732,
       2515,
       4847,
       593,
       3024,
       123,
       2149,
       2504,
       2221,
       1403,
       4847,
       1174,
       4095,
       2261,
       5543,
       1126,
       95,
       5141,
       924,
       3098,
       244,
       2775,
       4647,
       71,
       2152,
       1525,
       2930,
       1705,
       2198,
       1601,
       55,
       5164,
       4765,
       247,
       1321,
       74,
       8750,
       7936,
       1924,
       5771,
       82,
       2525,
       2860,
       2274,
       2775,
       3292,
       5028,
       1398,
       3370,
       9253,
       7984,
       413,
       1471,
       1083,
       748,
       1513,
       3580,
       1764,
       796,
       1572,
       9302,
       6517,
       3692,
       84,
       1775,
       3720,
       2280,
       4462,
       1747,
       5963,
       2720,
       424,
       3556,
       764,
       2804,
       2539,
       2381,
       5209,
       763,
       1442,
       5317,
       2958,
       4857,
       3787,
       2471,
       3712,
       436,
       3845,
       5489,
       933,
       1394,
       1995,
       3714,
       1675,
       342,
       2273,
       1826,
       7734,
       1082,
       275,
       3350,
       3531,
       1413,
       4562,
       102,
       3575,
       1846,
       4160,
       1621,
       3929,
       2163,
       2272,
       3229,
       2943,
       1501,
       8026,
       2807,
       3866,
       4988,
       3208,
       699,
       6079,
       931,
       3021,
       2518,
       4067,
       2538,
       1282,
       718,
       4323,
       3032,
       573,
       1738,
       182,
       686,
       3617,
       113,
       1706,
       5165,
       3214,
       827,
       2624,
       1698,
       6636,
       3877,
       743,
       6014,
       694,
       5462,
       5363,
       942,
       75,
       847,
       3117,
       2437,
       1884,
       3278,
       2693,
       1264,
       1630,
       1924,
       987,
       99,
       1385,
       1570,
       7702,
       4985,
       1343,
       4909,
       599,
       5950,
       1327,
       501,
       6847,
       3119,
       5554,
       86,
       5621,
       2436,
       3473,
       4883,
       2646,
       8770,
       277,
       811,
       3295,
       5380,
       687,
       2767,
       1834,
       3189,
       105,
       3682,
       767,
       3640,
       1981,
       3301,
       3250,
       3226,
       91,
       452,
       82,
       1109,
       5356,
       2802,
       2435,
       3837,
       3949,
       2655,
       8675,
       1447,
       652,
       2075,
       410,
       5419,
       4534,
       5974,
       4950,
       3104,
       4869,
       5954,
       4786,
       1876,
       2851,
       3217,
       6139,
       812,
       483,
       706,
       3260,
       2692,
       2914,
       2334,
       4008,
       1326,
       1124,
       1410,
       2059,
       1828,
       2345,
       3616,
       1178,
       1533,
       2490,
       4541,
       5583,
       8846,
       5065,
       3317,
       3854,
       555,
       547,
       192,
       2500,
       2569,
       2011,
       6563,
       3344,
       5895,
       4128,
       2153,
       5996,
       5300,
       2122,
       1747,
       4092,
       1094,
       2688,
       4514,
       1837,
       2443,
       3772,
       5173,
       3079,
       1724,
       1956,
       5210,
       4599,
       1402,
       763,
       2711,
       1631,
       124,
       3561,
       2234,
       1435,
       1483,
       86,
       3012,
       1731,
       434,
       8757,
       885,
       2261,
       1083,
       1586,
       2631,
       2774,
       2477,
       149,
       2390,
       1712,
       1352,
       1532,
       2357,
       267,
       3817,
       1866,
       4240,
       1071,
       1884,
       3947,
       1342,
       1999,
       6841,
       4610,
       395,
       2596,
       1681,
       4842,
       3143,
       5553,
       762,
       4230,
       894,
       6546,
       68,
       4205,
       3234,
       61,
       1486,
       707,
       4403,
       3656,
       2889,
       5498,
       2519,
       1211,
       2442,
       3587,
       2533,
       3929,
       217,
       505,
       1425,
       684,
       1118,
       7609,
       2628,
       83,
       2851,
       2381,
       2675,
       2265,
       5838,
       2958,
       922,
       3570,
       8401,
       5059,
       2281,
       4192,
       2084,
       945,
       1879,
       6389,
       2148,
       1874,
       2223,
       2502,
       2785,
       3391,
       1379,
       76,
       1004,
       1491,
       6338,
       3123,
       2489,
       1431,
       2141,
       3765,
       2717,
       1461,
       3168,
       715,
       2602,
       526,
       278,
       3400,
       60,
       4118,
       3800,
       153,
       5785,
       3624,
       2318,
       2032,
       525,
       2053,
       3363,
       1399,
       2492,
       78,
       3029,
       668,
       3633,
       4173,
       2110,
       1023,
       972,
       1184,
       667,
       3125,
       1995,
       1932,
       1265,
       4742,
       949,
       5423,
       2280,
       5805,
       3005,
       2659,
       5141,
       3504,
       491,
       3874,
       3694,
       69,
       3076,
       79,
       65,
       5071,
       3477,
       894,
       1545,
       1685,
       4894,
       1828,
       361,
       2696,
       1541,
       7408,
       2730,
       892,
       536,
       1790,
       2801,
       5428,
       3595,
       1538,
       2088,
       4091,
       3553,
       2506,
       1508,
       5440,
       3875,
       3458,
       1537,
       4921,
       6717,
       2284,
       2735,
       1097,
       3367,
       10833,
       1664,
       969,
       673,
       76,
       1155,
       2838,
       5408,
       1209,
       2968,
       187,
       1435,
       2724,
       4176,
       5779,
       1600,
       3606,
       2667,
       3698,
       685,
       63,
       5846,
       841,
       2756,
       1622,
       2747,
       75,
       7670,
       803,
       1438,
       1744,
       2754,
       2183,
       4158,
       3598,
       5409,
       1010,
       259,
       2607,
       1223,
       3255,
       300,
       7266,
       4221,
       3935,
       795,
       195,
       940,
       2393,
       376,
       1614,
       4024,
       764,
       1278,
       5613,
       2474,
       5209,
       6716,
       67,
       1746,
       10780,
       1014,
       3788,
       3455,
       1597,
       6196,
       1291,
       5292,
       1276,
       2305,
       995,
       360,
       503,
       2666,
       1422,
       645,
       2575,
       6930,
       2809,
       2858,
       2263,
       5369,
       1035,
       3566,
       2110,
       1617,
       2147,
       2779,
       1564,
       3537,
       1456,
       1379,
       4223,
       2039,
       448,
       5504,
       939,
       675,
       2017,
       3447,
       6304,
       1116,
       3285,
       145,
       4002,
       1476,
       881,
       803,
       768,
       80,
       1575,
       3000,
       113,
       1436,
       931,
       2246,
       3464,
       1428,
       5390,
       1770,
       1524,
       3783,
       1951,
       2579,
       715,
       5616,
       6754,
       3270,
       4211,
       2598,
       913,
       2638,
       4058,
       98,
       844,
       462,
       1238,
       2713,
       2269,
       2608,
       7102,
       657,
       713,
       69,
       3466,
       3394,
       1374,
       4415,
       3465,
       2093,
       1501,
       8549,
       1409,
       1849,
       1542,
       852,
       1536,
       2732,
       2728,
       4274,
       3487,
       6457,
       3122,
       954,
       2767,
       281,
       4539,
       299,
       1045,
       4257,
       4226,
       3665,
       4602,
       1826,
       899,
       1453,
       384,
       2923,
       928,
       4188,
       3457,
       241,
       2557,
       57,
       4534,
       3195,
       2593,
       1825,
       2552,
       5070,
       7745,
       1382,
       934,
       594,
       1312,
       5968,
       4488,
       7229,
       5930,
       125,
       4214,
       2005,
       1542,
       1155,
       681,
       2753,
       659,
       3161,
       5397,
       3554,
       2841,
       3265,
       1766,
       6354,
       6374,
       6535,
       2186,
       3844,
       1314,
       837,
       10826,
       699,
       75,
       3880,
       3684,
       2956,
       2230,
       85,
       4135,
       1473,
       2231,
       1635,
       5805,
       4531,
       4848,
       1260,
       69,
       798,
       6192,
       3907,
       3321,
       2058,
       7787,
       481,
       3497,
       5554,
       1848,
       2468,
       415,
       2067,
       2749,
       660,
       2314,
       2725,
       3922,
       1825,
       1643,
       70,
       894,
       4615,
       3477,
       7139,
       3085,
       1650,
       7103,
       58,
       3633,
       3327,
       1237,
       4255,
       1933,
       1678,
       3265,
       1253,
       7017,
       2420,
       1110,
       2740,
       5986,
       1098,
       653,
       3423,
       4575,
       3071,
       1213,
       4199,
       4038,
       1711,
       3655,
       2472,
       1135,
       2405,
       218,
       3315,
       4038,
       3067,
       2111,
       1709,
       2596,
       4528,
       3988,
       1976,
       2920,
       3403,
       2232,
       74,
       7794,
       4413,
       560,
       3277,
       3420,
       1356,
       743,
       2556,
       6801,
       4942,
       1855,
       1974,
       1603,
       3606,
       2016,
       2207,
       257,
       639,
       704,
       645,
       2176,
       2686,
       830,
       3812,
       203,
       42,
       134,
       2676,
       4844,
       3185,
       2400,
       7027,
       3330,
       6220,
       3896,
       3558,
       4052,
       12962,
       2104,
       3194,
       877,
       5699,
       3201,
       537,
       2608,
       2893,
       3878,
       69,
       2335,
       180,
       1059,
       6281,
       119,
       1229,
       2596,
       987,
       3209,
       2595,
       2767,
       79,
       1942,
       3568,
       5354,
       2738,
       1054,
       3085,
       6003,
       3213,
       4618,
       4114,
       1662,
       1515,
       3901,
       4112,
       1567,
       1996,
       159,
       93,
       2173,
       5586,
       5972,
       7617,
       1431,
       3463,
       3385,
       2955,
       5209,
       1523,
       267,
       5647,
       1040,
       6184,
       3355,
       1777,
       6262,
       5686,
       1967,
       132,
       4374,
       361,
       2373,
       1420,
       89,
       228,
       3484,
       2049,
       9018,
       4190,
       6143,
       1454,
       9849,
       2762,
       10638,
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     },
     {
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       2709,
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     },
     {
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