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0,2717,10,8404,667,9012,1431,60,942,80,1072,2730,1433,2040,3592,1725,3442,821,655,433,8025,6004,4840,11139,375,6283,1120,4418,1390,2424,5225,2390,6399,3741,674,3333,5503,47,1406,1589,7932,2093,3927,5035,5107,53,353,6096,2331,33,5669,10854,3718,5163,2,5795,2311,5197,726,6640,7845,27,8976,2329,9009,3125,33,1285,692,2997,3270,989,1160,3216,1214,3699,308,3571,6723,3463,3295,421,4741,7202,3526,3405,5568,4819,2662,12829,6725,11650,9273,7794,2647,10075,9184,73,3871,4282,656,2454,5430,2276,11001,1602,3508,148,777,2799,504,1116,3714,1746,2026,4383,1153,2160,93,1307,67,5641,3963,2885,12543,8871,7130,4024,9772,5450,16739,12875,120,4928,5599,3441,620,9608,3,812,4322,4820,922,2586,20,4917,1362,3526,2807,11264,435,8392,147,479,2229,3288,2133,3280,553,1960,3726,918,2162,6114,7544,12388,197,2684,1409,1581,4732,9565,253,5566,4075,4863,1699,737,7059,2727,4896,2416,900,5374,9768,3509,5707,375,2628,2520,7009,5029,6117,411,1298,833,2019,1998,3412,3986,2275,3808,144,13,4647,273,2563,5134,1320,1538,139,9543,7038,7798,4881,5843,7611,273,1184,9224,33,5202,20,2496,1962,147,4238,658,865,2488,8289,2777,7718,187,2202,513,2932,3428,1660,2108,2039,3089,1410,20,898,5355,505,2740,4723,6519,1696,4486,8667,27,3369,5161,4028,167,3397,7922,1385,1275,2678,5473,2127,13,5337,193,9957,3642,5880,2030,8734,1645,173,474,5016,1174,3157,1164,1217,2954,3724,675,1640,20,80,3722,2231,969,5262,4381,3930,1020,725,9471,5166,1378,543,6342,2902,7076,33,9327,8577,5786,5567,4530,4830,2940,55,1374,1968,5679,3462,119,836,13,2589,2280,2465,6344,3541,1066,1619,1058,5894,7,1929,120,20,2692,7247,8055,6328,7182,6174,4649,6041,80,4998,2742,3537,790,5080,3716,1423,1902,5563,427,2049,4514,4603,6694,1829,1840,326,1932,4113,1964,2151,72,3522,2412,1796,5376,7,7,560,5574,2823,4005,761,4838,318,4237,1455,8387,1628,1002,5331,1532,4719,2495,8210,215,6265,1234,4701,7602,3630,269,4037,4917,73,5490,6388,3609,1844,96,1472,1945,2432,3152,7582,1412,3010,698,2818,235,27,6242,4403,3478,5879,35,440,5584,5405,49,9151,1523,33,5859,8628,5068,2018,3434,5153,33,1058,4474,4177,2958,3565,5501,5023,3755,3741,7,187,1993,3560,647,4462,1930,2634,3574,5779,53,1341,1690,5349,4641,2161,2864,7392,909,2760,4686,534,8200,3340,653,3950,1955,2157,3661,4794,2848,1611,798,4992,3268,3280,4417,3241,5927,4408,3876,5490,188,587,2763,2884,2975,4883,484,5296,1601,273,13,435,5320,251,2043,1231,4716,4480,1209,3695,704,4245,9916,234,4618,764,5030,4735,1432,4338,11214,293,3828,5155,4679,20,886,1037,6326,6179,6388,5164,7,414,1801,586,3863,927,344,4110,3752,3413,2694,113,3436,3435,440,1272,4807,2212,8439,7023,7061,4700,147,2383,5090,7249,1324,8574,4995,4797,1908,2658,1321,397,5790,4208,5969,8766,4237,2437,125,2509,2006,3351,3712,954,3653,1362,1269,2872,380,7,3603,4820,2999,1051,5672,2647,3939,5990,8079,864,2907,1630,1010,2847,705,136,5455,617,9402,5341,40,6708,967,6697,3267,4333,1474,74,4185,3279,33,6279,3393,5070,5277,5209,879,162,635,293,3652,415,6607,4382,4445,746,723,187,1016,1995,5156,6040,3149,4964,1064,8310,80,6000,4989,5805,8008,6074,365,8738,7125,11375,2624,2512,1094,4622,4588,199,4796,2327,3782,5463,6117,5727,2421,4899,4356,760,13,5898,2413,40,344,709,67,4300,3571,1150,342,27,2487,4996,4485,5117,1434,8583,5971,147,13382,727,4723,87,1106,2013,3703,3730,2538,8052,13,3397,10263,3162,40,5085,5200,3810,4865,1685,8587,1599,2515,13111,4023,20,273,2437,233,3312,543,107,302,27,3375,3888,864,616,2567,4723,3446,1906,3103,741,5555,3495,227,4780,4925,1443,3829,17020,4315,393,160,6343,2188,5165,6583,13,3432,2861,9765,4453,523,3355,1654,2453,5187,13,830,140,878,4464,1404,2041,7214,1827,12537,1714,7,133,3615,6244,6051,2143,7772,67,7,662,7790,3925,1887,5341,2049,3680,458,110,1094,4339,2873,5053,2651,1007,133,6376,8669,280,5946,3883,6682,6164,4361,220,833,4683,6747,15355,8300,7065,6119,1259,2363,4684,1806,357,948,2325,4027,1304,1103,7470,2536,6931,1561,880,4065,561,3249,2312,5637,54,156,14431,732,2638,403,38,1309,4461,87,9688,6454,1250,3131,5173,14340,1833,2793,3811,922,2507,3088,1987,770,641,3733,7995,6462,80,4550,12021,3298,4925,150,1052,8462,1031,7424,3126,339,721,1590,4690,771,3887,949,4284,7669,5118,307,27,7,27,4532,20,47,53,517,193,5148,4339,1432,1794,2699,4643,4585,1037,7458,6218,16499,11062,3841,309,4343,8867,13,2741,7902,3179,3306,5254,67,3571,7463,1827,8251,1637,1726,33,1096,303,946,4430,1965,966,5443,13,4091,830,1329,284,20,2403,247,7,16010,1271,5958,10831,2108,2220,11285,548,11872,4312,4816,2974,5349,4245,3075,10301,2911,1374,9207,13,127,5618,5314,800,6397,10329,3930,429,347,2968,899,3242,309,1308,3288,2569,1585,1491,1373,7,1558,2164,5113,5260,2040,4146,2047,9086,619,1925,4704,5589,286,9793,6193,520,27,33,8026,6135,4590,10132,5094,4628,2427,993,736,5075,9937,5419,264,33,790,3183,2540,1830,3603,147,2918,1380,903,1734,36,99,4133,570,1640,2647,10387,8265,6361,8957,9618,4588,7,7,6206,4302,919,6287,3366,717,751,6416,5522,1798,1447,878,3934,782,10147,5031,20,40,1906,647,3321,1523,1541,3675,2525,2948,2747,737,1221,11380,4607,3847,592,793,1896,4015,7642,8069,2363,2488,8679,1800,1330,4043,4624,3294,342,11358,6783,1457,5534,360,3422,648,8172,7734,120,1371,1805,1583,4251,513,4688,1306,1607,2670,1385,7,1253,133,4407,2941,2746,20,5635,86,5279,3038,1764,16945,1525,1888,6607,5048,9685,5838,2336,9748,40,4459,4552,3435,2596,1075,8072,574,8282,1217,1222,3265,855,33,3323,1960,2510,3902,962,1004,853,1005,271,2387,120,6022,4228,4061,10990,4969,10514,139,414,400,5134,4908,1072,87,2054,991,7932,3039,1819,4901,3071,404,4723,3931,258,2438,957,1418,8870,942,9913,100,360,2155,1528,4287,1214,3725,1563,1376,3157,2462,7,480,5021,4965,360,1519,1945,5467,4195,564,4795,9019,4452,1363,568,5145,1109,4778,8953,10205,69,6412,2355,6973,1620,5144,764,3017,7096,93,1535,2563,7856,741,9344,733,1175,140,1307,2589,3974,2815,1674,6253,1491,2574,7,4658,287,2299,5835,33,716,2267,1433,9346,5870,4753,9506,3026,6872,3192,3252,2700,9103,1670,5871,7523,1998,2353,1578,4420,4673,47,6270,493,7194,4246,480,4551,3244,1229,3835,4531,377,7974,1801,7947,1874,1893,13,336,1497,766,1078,3154,449,1681,3991,3903,2735,1381,509,657,4690,2794,3453,9298,41,7071,455,2766,1359,1997,8811,784,2738,7809,857,5505,767,5560,4178,13433,378,1301,4232,7489,1178,5074,1347,2119,2679,2073,2804,6250,1048,3160,6694,5422,20,525,27,260,5597,2557,8582,2131,1899,278,153,20,1619,1178,3107,4272,746,347,4511,189,1089,4154,27,883,2249,2792,6100,11772,1062,4285,5534,516,3008,4022,4218,1848,1938,671,6217,9151,27,7744,2719,5545,5367,13,5111,7350,11806,5451,2138,4645,2984,787,3396,3871,3763,7367,1637,3245,971,33,7318,3777,290,20,3699,1178,3887,3782,13,746,1716,7,1995,848,5496,3573,513,3636,5958,1953,13370,10309,7481,1041,4653,4700,1123,1376,7166,3488,40,2060,5026,2328,7584,399,1190,2565,53,3268,3866,5097,3998,3418,83,1295,458,4084,1707,1155,11078,3190,7,74,5140,967,1197,187,9194,1228,994,2981,5136,7884,2617,47,1640,3963,845,2692,3631,4442,675,907,1864,4135,646,4818,8862,13,6394,4292,5263,3550,3341,3148,5279,3258,4395,187,7,2905,1898,3743,4863,1662,1046,8635,968,67,7,1646,140,4691,3002,4611,5249,4812,994,8021,5753,13,7811,5035,598,7089,3733,1189,1536,4453,4823,1875,3980,40,681,827,4459,6423,4850,4814,208,859,1642,3991,390,3309,870,1660,4801,695,1492,329,7909,385,7,5925,1520,4392,7465,831,4713,7769,564,4597,20,438,2495,2112,5654,313,4881,4236,1403,2587,4461,2484,12033,286,4111,5006,4404,7081,1910,107,13,2539,745,2504,3419,2428,4481,1201,3162,1113,7,266,4426,1629,2950,4320,4865,1813,1217,7435,1033,4988,3455,4761,389,1501,15316,7497,1084,4811,8017,5608,3886,2925,120,3825,6461,3766,5243,3512,233,1027,2626,868,455,4313,1209,3504,3866,1706,1448,1637,738,13,4934,2518,1391,7563,13615,87,11335,6318,5249,5592,746,8551,4085,1811,386,4109,3547,1353,3270,4272,1450,3105,1851,46,2752,6066,7192,3798,27,865,209,663,3260,2547,1745,3682,4506,1823,1181,1358,167,1066,3903,4093,7228,133,6443,7447,480,266,6541,3709,2056,4026,14089,1758,2708,10877,3052,1060,4247,4044,7,1400,2000,4284,939,3083,6987,4587,4098,2062,7,80,648,2017,547,2266,3161,871,3176,2729,2765,2348,13,12778,130,1342,3810,4943,1306,3155,4995,5688,5120,4345,4278,4813,7,148,4038,1082,4941,7796,7,283,7028,6105,7360,2423,480,1446,2147,6405,2939,6881,1696,13,47,140,137,13,3353,507,2536,2325,2836,995,2053,3101,928,2908,53,2147,27,211,4226,1335,2041,4716,4520,621,5700,9648,27,6216,5429,270,5061,8116,113,5061,2613,1861,4328,4195,7249,13,484,3280,2594,6982,2718,7400,1851,7,900,32,3227,5209,4291,7,4173,2378,2012,3640,2811,787,133,572,33,2662,2261,4406,4549,2994,1050,9589,179,7508,3843,3656,7073,4024,53,1833,3773,4162,3306,2333,5027,2995,4769,4602,293,2304,991,8110,1890,6746,3530,43,20,1952,381,408,2928,2742,53,237,4399,10177,5105,20,4961,2366,1332,7,503,4289,2114,5750,1786,4527,4096,1460,1193,2839,8751,4700,1570,498,4860,5402,1457,1436,4669,9403,5833,5313,6362,53,1512,6723,1985,8371,1700,1610,120,440,4114,928,1971,2651,1399,2878,2819,251,4802,7972,1977,41,7,754,7,1199,2699,447,7,3840,6646,65,2251,5790,7223,44,8274,5314,100,4376,6930,4145,5981,240,7,7046,5025,8904,2301,1677,1915,4630,772,13704,2144,7432,1832,3563,777,3630,1529,2784,4252,1654,2886,2414,20,1596,301,47,13,325,747,7,7,952,322,828,20,7344,5168,4776,3937,11606,944,5176,1227,3822,6924,9388,7109,2209,2742,1089,2716,5179,3282,4897,4730,2052,599,2424,4600,2672,4499,4898,1170,17872,1671,3174,7,908,3171,379,1283,7,1491,3714,604,4206,2251,3025,2805,571,67,2363,7905,93,914,7029,127,304,8354,5058,4306,2453,2038,4582,3694,4754,2005,5730,2907,4226,4922,391,831,1262,8584,3963,4266,8199,5133,3343,406,4639,8775,1810,7571,141,379,1036,1285,3641,10317,3145,3170,13,1161,4751,3941,324,7,13,4828,3318,5281,2266,1080,5504,2700,1432,7,9013,219,3879,7772,3842,1982,9588,6247,5282,461,3864,2952,4460,2884,147,1200,2062,3895,8204,1863,7620,7,113,60,1740,3063,1206,2632,984,771,3694,11730,3351,3322,369,1360,140,5877,4265,3022,6670,7113,644,6503,313,3179,3998,1507,3606,1328,1140,3042,844,13988,3010,7875,1723,4709,2603,5097,93,2490,9542,7731,2318,73,1823,544,1119,2703,1376,2218,3653,888,3040,702,776,60,5496,908,7,1018,67,1268,4300,4329,866,7,2546,5480,7400,9200,4216,2635,4679,1149,146,20,5857,6096,2464,5077,408,3970,7555,1424,4653,5807,5457,790,20,187,12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9,113,5698,7114,5231,4620,5025,789,3659,2551,1319,3115,80,23,837,7283,1502,7568,1538,1599,3853,15117,80,8140,5845,33,3115,5067,7,4943,26007,4260,1055,4468,899,1968,5170,60,3673,2185,471,4956,3373,1132,4393,1478,5716,3811,8252,4793,252,1088,5103,4026,909,2097,1894,2106,800,7936,1841,5669,213,2344,4560,747,6011,624,9921,839,3325,3714,733,7527,10268,580,1660,3937,13,9401,9411,5080,3240,3186,315,973,3165,3955,136,2306,2928,2762,709,27,4953,2977,6332,3953,839,73,4764,6090,8167,7719,1596,3483,3117,3464,874,2727,488,2188,27,133,1426,3143,9497,20,5481,8058,2178,1993,7086,5610,2302,543,3848,1252,40,1762,350,2892,2177,4047,7968,5116,3539,8809,60,925,1540,4877,6282,7,5061,3444,159,1321,6331,4355,2590,4164,3041,849,667,3229,5300,13949,1629,2788,4965,1287,1191,1199,7213,4428,769,5587,645,5433,8475,1687,5739,4580,1820,20,3243,665,7,1966,2967,4018,3832,1185,6005,4564,10360,8397,4510,2255,778,4920,3903,1869,25009,476,2682,7225,2385,9381,10794,93,719,8761,5980,426,1833,3095,8053,6268,3056,1898,2835,2659,6598,6567,2895,1145,2515,316,4173,195,20,2738,791,3480,2216,2506,638,3416,13036,3183,1389,5957,3187,7365,5404,123,215,9089,12181,12512,1989,12669,712,533,3299,3868,2302,1225,220,4060,1260,363,1065,989,1519,11020,900,7995,814,7,2091,7445,2994,2454,5370,4612,3957,2712,1777,1327,40,240,6491,8761,2367,6873,4236,10318,6610,5910,987,4964,1232,5312,2201,2017,1631,4220,2461,6536,4199,1374,924,4980,2683,3287,848,365,1388,688,8670,12765,7,1769,2141,2506,6113,3745,8859,2130,4717,2246,2243,60,734,1208,3417,20,3376,2715,2894,6746,7137,7232,276,5291,5294,6868,3120,13253,5418,500,8389,3123,553,133,2230,6334,849,1273,1094,642,1600,174,405,7977,1438,1828,2295,793,3743,6329,6616,2931,5202,3260,6112,1536,451,127,4468,3819,12948,4731,241,9492,4253,881,473,813,450,4319,1501,4835,4207,6121,4664,1504,6238,4309,10893,5484,7107,10863,1040,2512,3670,5496,1814,9778,60,3186,525,1281,5542,3748,4351,9317,3817,2707,2715,2104,47,804,3920,6431,4058,1949,2901,1692,5571,402,5743,3329,16,988,5462,9530,4712,6301,11209,8307,10882,6954,10952,3052,3864,3475,5907,67,524,298,4512,3120,7359,1660,3375,525,4333,7060,7213,4194,17096,4049,5971,193,3941,5734,785,6868,480,6738,6017,5031,7696,3461,3073,4038,67,7054,3527,4825,511,3952,451,5482,271,2995,2676,3949,1335,3571,3356,2088,454,2636,180,1773,808,2568,3160,8391,2092,4842,633,525,1994,5315,12974,4766,4187,6699,1361,4339,3980,60,2047,3230,997,193,60,2123,2116,20,3284,3773,2068,5367,7067,4268,2261,512,4674,6847,172,247,8059,5571,34,4685,6081,1193,287,33,816,1086,2022,5681,2312,4596,5682,3961,3689,3724,5786,5376,1394,630,1726,4021,35,4136,3187,2813,1331,5560,8267,7126,5915,4389,116,6139,62,4788,5058,2888,263,5830,13,2322,1788,3234,133,1171,822,2826,5957,6120,2177,1317,2043,4662,5049,9967,2017,4527,6745,1914,3805,4768,2183,133,1891,533,6675,60,3331,2181,3632,3367,7458,333,4275,2184,2990,2438,87,1535,4021,6509,1547,5423,6522,8058,2502,5543,47,731,3532,5050,3416,6422,1232,3210,7896,9470,3625,5717,3352,4680,8586,2150,2016,1809,7297,8668,1154,1654,1409,1582,1967,855,502,648,3358,1613,2262,412,4014,4913,1011,100,5864,8338,380,160,8336,5673,7071,18117,2614,221,7510,1940,27,5741,2782,954,53,728,690,2686,2905,4711,5952,3475,4824,10345,1347,167,4775,4944,2780,18047,2279,9496,3148,106,288,2072,6430,6969,716,160,2598,2097,4951,6984,8304,16490,3326,5047,7798,3378,737,1129,2667,2529,3591,1486,3415,3242,2265,14198,742,5180,3027,442,2610,1465,3836,6797,4851,253,6263,6201,3135,2035,33,328,7924,7941,1996,1264,7305,13,9014,66,1281,3405,1076,2062,2305,3451,5449,3305,1832,2594,2890,548,8396,12395,1329,6248,4135,7201,3765,5959,53,6144,1161,991,3780,362,1613,47,7,1292,2303,1450,333,1404,1969,2502,6082,1356,6693,7224,1038,4574,6240,8907,632,1153,4988,397,4923,3743,6355,7106,5760,7244,3518,411,4699,1008,6709,4263,410,4044,442,3029,15551,2311,2079,2774,2438,11282,173,11223,4284,3089,2291,3458,87,206,2943,8676,7,8133,40,7481,5414,5156,7,3690,7,2570,6498,2675,1423,6609,4854,8565,1317,559,7012,3662,223,3652,1139,3592,13,2108,2448,4718,8971,4341,4713,15948,2130,9226,647,4120,7,5850,4423,6950,3056,12130,16829,253,4960,11309,4643,6200,3472,6981,73,460,5768,1800,6704,201,497,533,10214,5663,6405,4011,5912,2394,47,3052,53,1303,3294,3561,1612,1511,60,1041,9975,1919,2550,999,7883,9137,649,4351,8663,420,40,1006,33,4520,2686,6384,2183,3577,1210,7,7233,295,467,4822,6755,20,87,6959,187,4476,529,11010,5533,2373,1721,93,2193,6569,1089,3543,5446,3095,2148,1554,1182,107,4937,2993,9409,1438,5013,6910,3989,1739,5234,13,1449,1762,5256,2575,5465,2326,7788,3113,1737,5599,1446,632,6461,1815,494,13604,1560,1730,2295,9903,8436,6381,160,259,1544,6473,403,3729,5642,60,4190,2664,5179,6259,1082,173,1733,1458,4605,998,1967,6570,113,540,3297,1323,2155,5526,5556,33,500,28,3679,5758,1851,5511,10366,2186,1158,7,6934,10,3449,1271,7766,27,1306,3591,4040,6111,60,10448,1408,4538,3334,7484,1160,256,8477,6491,8445,1972,3050,7349,2395,516,80,2984,1224,7634,3419,3336,2153,47,3812,4953,6408,4804,2103,3591,543,5179,7008,7,13,1732,998,1790,140,27,7848,2152,4095,5578,2144,1017,3358,4668,18,134,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"type":"truth"
}