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80,12992,7,14375,2529,3810,1829,8211,8439,6570,3494,654,1141,67,63,3748,3402,1919,227,13822,3162,3230,2659,2214,2224,2897,113,12601,2520,25045,1802,450,47,2672,2290,13708,4886,1657,6212,1171,4198,5671,107,533,2173,4139,5272,1348,2744,5222,7846,5285,5367,821,5402,5345,6625,5537,27,6125,2212,11739,2075,2320,2337,13,4290,1609,4269,13076,1754,3368,6221,345,1963,2220,733,3668,2711,4946,3745,3354,1631,220,6735,2878,2865,2555,1990,695,7375,4543,1816,6759,253,10513,6167,27,1902,2034,7724,6121,13755,5171,6142,964,2799,4546,7207,3693,8936,607,6684,675,5074,2828,4000,5224,3896,3324,4787,2051,1705,3212,2066,2561,2418,4237,2167,2268,203,3964,1229,3655,6227,3947,1434,2257,1495,3999,5188,1651,3725,1472,697,5969,2480,2591,1553,731,4621,1444,1863,187,7058,3530,5935,1133,6347,1574,2481,1518,1505,7344,4840,898,6443,2526,4008,983,1230,4933,4310,4287,3975,707,693,7733,127,5024,80,3757,140,1647,7478,2972,2400,1897,5196,720,3323,2458,1708,7,3501,1057,6021,1356,8256,4666,4614,1169,3241,478,4876,5928,1723,7537,107,1727,2141,8621,5435,2222,6284,3096,5883,4524,3290,2255,9536,3411,1964,7635,439,6501,3679,2652,499,3152,3356,1081,997,8134,2020,2771,3540,4904,5865,1996,3718,3393,161,5695,5145,8635,1030,2649,4499,760,2645,5804,27,2148,2013,2359,2960,1683,4963,2051,5452,8314,2169,2307,2853,20,1929,2537,4192,10860,2385,1296,3887,7064,395,4062,1506,3335,2161,1778,4637,4727,2297,4271,1402,587,6182,2423,2348,510,888,4704,1711,160,7161,3574,789,4753,4699,3095,3065,3812,20,1769,2617,2232,5853,1563,4957,7068,3661,1897,1812,2406,7,1226,4733,5079,5898,3558,2713,1484,1308,15968,5903,380,2859,2902,6805,1856,1471,12664,6207,245,5537,2688,2009,6522,3144,527,3716,13,4555,4692,4303,2161,10742,6595,640,2604,2684,7,848,7473,5306,3012,4286,2059,5399,5222,454,2710,1012,5163,2056,5740,5578,221,1697,11346,2478,2614,2475,3792,2157,11020,2198,3888,6018,13,1326,4523,2875,7,1201,4177,4918,2560,4237,2171,4847,5613,1818,1462,250,5206,2098,5286,5562,276,380,7637,2230,2390,2723,4364,2117,6191,2038,3275,6953,6028,2222,1504,1210,7823,7146,3593,2838,7408,2870,5230,1802,3288,8702,23,293,9421,2495,2532,2796,4824,60,10002,3560,1473,7558,1307,4340,2805,1596,1527,8783,348,5444,7147,541,4571,2138,1886,1854,4926,2133,3334,6672,1762,333,7196,9433,309,2501,1814,20,767,2708,2235,8266,9889,1535,1552,1601,1832,11220,3250,2917,2989,4111,1030,2037,5999,4153,2417,1701,9026,3191,3482,7063,924,2265,7046,1251,3325,2309,2290,1926,6236,3516,2416,2912,6690,1246,3447,8330,1514,3613,1820,4782,5689,1306,7688,31,1286,9714,4773,5962,173,7747,491,3976,7,5251,167,1780,2057,4381,3088,7574,369,1606,6184,1456,2727,2948,3036,2164,10337,7,120,5570,6365,3666,20,1871,4137,7,5724,2437,4863,7157,1251,3838,999,2092,33,7,1167,2023,7985,274,7201,1541,4180,4594,2350,5178,1604,2575,6190,314,5593,2834,2867,2436,3392,6374,1685,4186,4654,1365,4781,1030,2505,1609,1908,4203,3126,3053,6227,253,440,5527,2752,20,2913,3544,5012,2671,1968,3484,593,3878,5824,1909,5304,2558,12443,3035,184,4625,3748,1741,8290,1977,5585,2285,2363,2590,11474,3761,4087,1796,5748,2253,3408,6680,1331,7307,4637,2875,1055,1590,1253,3797,5705,11366,356,6131,5955,6559,1329,2101,2278,5481,2381,2430,5164,5226,599,5854,5056,606,1020,87,1875,147,4213,3315,817,7395,2902,9338,140,1244,4907,27,12464,3945,3744,2046,9278,5112,669,652,4906,2569,4479,1455,391,20235,4016,2535,7600,275,2739,1108,3817,5774,4549,1081,536,2610,6987,340,343,2355,12780,2534,567,4620,1838,187,7505,4241,3181,11933,1242,2149,13474,286,113,3844,2487,11622,5360,4887,320,6847,9465,193,2545,7636,1379,3262,33,1292,5739,8445,2425,5358,2377,166,2827,5109,448,2399,4578,1282,510,1758,5884,2881,3917,5774,2777,2471,3502,2383,3580,2736,6594,1719,7131,2939,3021,2969,676,2140,2017,5236,7170,1938,6341,344,1068,4552,2414,2334,1505,6271,1630,6793,5456,2193,2875,1164,1717,5115,1903,4514,4763,221,595,10052,3349,2153,520,32,400,2203,162,1770,836,8946,5360,977,5133,3614,6050,4136,87,4464,73,1878,2383,3044,7288,6504,3875,4477,2943,3379,913,1299,3417,5976,2928,2099,4398,2545,5601,11649,580,736,2603,4957,1351,7300,11558,1697,3975,3483,2626,2616,233,13242,2422,891,2521,6409,2200,3949,6446,1596,836,67,1132,4125,2147,2243,4659,6261,918,2466,1061,6041,1084,1334,1792,4906,5919,739,1733,1832,4619,3483,80,2415,970,2669,3689,1908,2365,4349,4100,4723,2204,587,2486,7,247,1804,3022,3447,6926,1964,5462,2010,4194,173,3456,1831,5419,1799,3454,5297,1798,2160,3964,7,1169,3544,5047,1865,2851,4405,3080,976,7390,687,20,400,5516,2259,2161,2307,7695,3793,1042,4753,5724,5323,6841,47,482,4237,263,1656,2487,27,10149,10079,4711,9250,5367,7381,6948,4285,1109,27,1775,4656,8806,5840,7820,12844,4438,7339,2744,3234,6875,2806,260,1421,950,6231,9576,2898,2040,2939,8522,11595,4014,1062,2578,1253,3440,4248,10870,5766,1062,6560,475,4632,2205,407,2245,2438,3436,1213,6886,1788,73,8282,1031,4810,33,3848,40,1227,979,6786,838,7345,5565,3389,6316,4292,2123,13,824,5660,1325,10831,6959,2053,4151,5407,14917,4315,600,2213,2930,4838,8095,427,5514,15818,3248,1035,6717,3962,3059,239,5604,2631,1657,6824,3264,1670,10395,3361,4910,7,3002,393,12349,1955,1088,499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4157,1340,840,3511,1924,5672,2782,2273,60,2987,73,13,7,1059,1036,706,4901,1733,73,2987,3503,1799,12184,1239,1424,516,2806,1889,3554,10745,913,453,4152,918,3293,799,174,233,4279,1110,7,915,5589,4201,3239,3352,2967,778,1526,65,1079,100,639,4048,2142,4045,3897,1551,4999,1706,3405,207,13,4052,309,1152,4736,1657,3107,4296,2408,3320,775,560,79,871,3428,3558,3088,1556,3002,1388,4166,599,2209,860,20,1528,842,2190,5263,2677,954,2873,1706,4284,1662,550,53,193,1047,4047,527,5549,3151,187,2694,4637,1093,2597,531,593,3612,2692,5063,992,1066,3151,956,384,4569,1609,293,289,4159,2148,3054,471,991,872,4817,3920,3054,1188,93,2902,848,1613,1911,592,3938,1780,7586,1659,2691,1689,419,53,1597,258,1728,7706,1530,3403,1233,4399,4464,2676,114,33,1891,418,7,1948,1819,4268,5435,2565,3886,427,3866,1063,1409,1691,3105,3323,3016,1645,533,2756,4731,2351,2133,87,33,7,1156,1670,5934,2881,1073,3727,3818,2016,3942,798,67,673,2356,3995,4221,4096,567,4092,1151,3585,133,4030,7,147,3073,1355,833,1415,4747,3232,2920,1568,100,1095,27,513,645,83,3117,4077,2551,3078,1570,3106,2591,3679,129,13,367,3975,1095,7,3641,2725,3162,4636,1900,2451,804,260,1057,13,4151,2932,3706,2277,134,1772,6010,740,593,2287,460,2165,1636,2554,6191,759,1204,3914,1393,4461,1557,986,373,1318,2134,3873,1287,3561,4224,2842,3538,1053,2137,413,80,1024,3281,2031,3025,4518,341,3496,2042,720,3624,1554,240,7,1965,1510,572,3249,1936,1227,4217,1055,4487,4651,1165,80,27,680,3684,2335,2137,1236,4743,2018,5079,949,3852,1166,1933,1876,6580,1787,1039,5016,1481,4499,2041,732,47,60,7,113,3478,2182,4978,2390,2236,3279,1459,2319,1212,591,13,1133,5721,1937,1850,4416,1200,2005,2281,590,1367,656,2670,33,351,2133,2099,340,2211,6501,4313,2332,2721,4916,643,357,1743,100,4883,532,3323,5052,4148,519,5171,2755,513,3317,13,4126,443,2464,5520,1445,2698,3921,3294,1237,287,892,1112,3712,5025,771,3020,4309,3640,2813,1642,3054,111,1743,40,3971,1869,4699,3483,1636,577,5391,1517,3826,628,267,73,735,187,1943,5230,3652,1588,2597,3547,477,5038,1271,60,2239,2169,2500,5255,533,4555,1219,3208,1474,716,220,1411,7,2173,953,4371,1637,2928,3606,1848,4265,727,1087,20,40,3824,2455,2252,3677,900,2822,4764,1122,3020,1321,727,216,2060,1361,1027,2447,5178,2701,3816,1985,3616,1526,1530,20,49,1981,302,4386,2845,2469,2391,2007,5376,630,3562,842,1744,2328,26,2275,1465,6373,362,4707,1160,3325,1549,560,191,868,3994,444,5275,1639,857,2395,4607,360,2163,1459,494,1764,1803,6074,1119,100,3152,1681,559,5408,1587,1065,60,277,839,1894,2186,1665,1774,5199,2640,1720,6462,1603,498,298,54,2711,7,4040,1705,931,6666,458,4648,511,7682,2017,53,20,2303,1254,546,930,3902,1305,8315,3024,3689,3087,2111,613,186,556,27,3636,4391,2093,1056,3765,2116,3719,2826,1760,523,3587,100,1153,187,7,4559,7,1712,2169,4256,2216,1972,825,7752,2943,7643,167,2478,100,1927,839,967,6278,4272,6665,7910,13,2204,3871,2143,47,3304,615,120,110,5040,4447,13,2650,4335,5509,2057,2298,1948,40,73,2694,1820,11,13,2601,2799,133,107,5728,3111,2119,3891,730,1088,370,53,565,2384,3142,2901,4430,27,3628,3528,33,4903,578,173,2497,13,3461,3675,3845,520,4826,2938,2472,1264,627,27,127,2099,943,100,47,5196,1863,2824,3773,6001,1645,538,3587,7,674,7,1908,363,7319,2120,2612,4666,33,2959,4085,2507,811,504,1173,1062,3902,2103,4394,27,1796,3035,2366,4076,36,485,737,2001,240,366,537,2008,2724,1289,4378,134,553,2952,2413,7,5124,1367,581,47,263,75,386,816,2538,2189,954,636,5468,2068,3154,3747,1378,447,133,3230,1886,2358,3261,1296,4078,5128,715,1803,310,3177,211,1779,4601,4945,1323,4189,3135,1776,20,87,7,661,4180,2176,1840,1153,3410,3112,4205,2045,2641,1271,1032,467,1462,3321,4257,2203,1976,1126,4618,8942,1509,1680,53,373,153,4962,3070,2544,10121,2675,2917,9576,517,269,19,1288,20,13,60,4852,2083,3212,1728,2163,14170,13,428,14,5109,3105,926,59,250,9923,16,1333,555,6510,5245,3352,2587,3621,7,893,247,9,400,13,7,7,3770,67,584,932,3229,3159,6864,1750,3558,3552,356,167,7,325,5533,1387,725,2300,3533,2635,3197,2679,3102,746,437,7,93,839,3779,2378,3769,3886,760,5257,3292,601,180,1517,2622,533,1552,4857,510,4532,4454,2690,4111,901,274,788,1145,4988,1329,7102,6529,13,1690,4481,1310,1520,80,1469,7,1448,4048,5824,4865,985,1822,2872,40,3593,840,405,367,1990,7,2114,3440,5221,3617,1830,2361,1591,1483,430,80,516,2686,1710,2416,5183,1885,4168,647,5078,752,13,7,1914,1925,4675,702,2851,4567,2087,3306,1409,1732,107,7,4041,3667,892,1189,2735,2111,4230,1228,2747,1068,2036,40,1791,1705,5760,1874,2433,957,4526,1347,1491,140,236,798,2867,413,5419,2536,1383,2413,3436,1799,4059,33,1714,2787,4721,6445,1575,4233,1111,20,2469,330,1747,147,29,2582,13,4560,47,1486,7553,2264,2740,16,3679,3297,1631,275,13,701,1684,1776,5469,3482,3336,3813,2248,2026,3423,1287,1347,3277,1053,60,469,1980,276,53,13,2287,4037,3994,6696,4747,3719,1157,453,2236,2674,781,3775,2028,1845,2154,459,250,634,2591,7324,143,2235,3961,2430,844,9021,2892,153,2289,3053,829,2983,984,536,2186,27,43,644,1345,5910,2084,2532,12615,1202,33,2129,2744,1518,3546,1000,4388,1881,1456,3115,20,788,611,2428,2598,14415,80,267,33,1266,1636,2183,658,7,3943,3097,3073,2985,4574,40,7,73,2395,41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"type":"truth"
}