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9,7,10336,4481,14855,1066,9728,1266,28610,3700,1937,9584,12948,19671,20226,921,1241,7,723,484,1803,14177,188,10778,907,5218,4803,15649,3551,3721,2377,1068,599,3946,11150,4047,10882,3649,14313,3377,11566,1382,3946,2906,2791,7,2006,4210,11711,7857,5368,15354,5085,8562,10000,10315,3987,8273,6668,4081,6127,33,13802,18513,4235,4868,2896,12833,15114,40,1032,11578,4552,15095,14081,4459,12453,11673,3338,1414,16896,5817,5735,1353,26291,1791,2102,1240,9645,25857,27,12412,3855,21785,25135,7041,10456,11309,15182,10197,3771,11907,3901,10644,2145,16515,6070,10384,8616,12458,14495,5859,2972,10602,4513,3307,10710,5990,8285,4507,11588,7495,15687,918,680,10822,6209,568,17642,4892,9798,1973,7202,7702,4405,7000,6652,4503,11312,3791,1200,7665,15185,704,22111,8456,8023,3606,11784,6872,15181,14988,5202,3895,1401,759,15140,8175,393,827,570,19903,3271,8397,12557,3080,2272,7760,22791,13,4319,24091,7,2196,2874,1384,8972,14438,16058,31567,14872,26535,3111,1796,2169,19823,11280,4374,3725,20240,11942,403,4383,4266,10758,7,18510,9585,3578,7806,1945,13276,869,1070,6944,2133,652,20090,13796,10430,6151,1548,189,7,9566,5991,6796,3523,7,4534,17697,7699,7191,6731,13,1466,9880,6726,15061,1582,2003,248,3178,9154,1275,22045,15894,4750,8430,6395,9646,6951,19570,11,6034,16907,1610,2921,11831,3266,5774,1602,1585,13558,644,6964,9730,3191,2926,970,13111,8601,14283,12806,310,1027,8686,12394,16478,20544,5663,11992,9590,477,161,9413,6955,1972,7227,10475,2804,10703,12144,10077,4468,8720,2086,15216,967,1736,13498,7304,11980,24486,9429,11325,5182,5475,20422,3445,7419,5944,6628,11632,4342,4280,1407,6849,81,5811,849,12811,1708,4330,6208,2719,4711,6643,2019,11078,11010,654,30026,24676,7006,17332,4183,9,15055,3811,3009,13916,1701,3909,6799,10025,2359,13881,7565,9416,6495,7220,6567,1769,2262,8225,18052,10045,7884,21135,36615,6637,44461,27,9846,3351,11450,5824,13683,1850,469,2881,12180,8260,8147,5582,10745,4344,10599,5466,6631,1521,1140,11351,11318,10405,14917,17342,7214,1668,17147,7136,4696,11778,2356,12609,4468,7185,9608,10391,7852,1695,12884,2538,3040,9411,3710,2957,10209,5587,1995,12243,18820,4788,65,12591,44,2,12929,3632,22422,6776,14740,993,1170,6273,6770,598,7,14664,14234,11868,4286,12104,13524,8469,15992,4036,8558,10495,12869,9673,633,1696,21754,7,3868,1114,13649,827,11123,2054,4143,1346,233,1259,5346,1635,10756,14102,1365,347,6823,16179,33,22731,20414,39400,2409,14437,11043,166,3274,7,880,26681,10776,12607,3134,6699,8048,27866,6310,6375,8039,4281,9801,3473,10845,20691,5512,26992,4508,19577,3579,4448,3301,4781,12026,1643,1102,4256,1931,93,239,4036,6135,1025,15385,6576,982,3840,6727,7209,14827,7887,8026,7173,34533,7165,15351,23631,4517,60,24427,4730,3528,167,2253,8066,15263,6481,306,1371,7142,12110,1480,1437,7241,649,13325,3125,7579,5736,8518,1712,18638,944,18877,1634,41327,23442,537,21153,5128,4313,11550,7317,5992,2139,2733,127,10435,45055,21483,733,6802,2527,27507,7120,2225,3955,11733,4703,915,16072,2099,1201,28409,2598,16268,7985,904,19814,1927,5684,4878,7605,5437,1457,10744,530,6211,1295,2180,12991,1493,19913,837,15000,962,14675,12477,8209,24419,25653,14783,79,20783,2447,3590,8133,1612,6747,2787,889,4852,10675,9623,5421,1180,2468,2759,11343,3007,8773,10823,21816,10905,16819,4008,498,4572,12603,28195,2361,9854,6493,10326,687,3811,1277,12216,3026,1279,14747,1876,5629,7,6034,7234,5759,11062,8855,3757,3140,768,13299,8525,31014,23530,23334,1314,20378,1953,7572,2630,6566,15900,3612,4930,1509,7951,7077,7714,7559,6599,192,18833,45600,14818,12590,6682,15410,10746,7762,6952,1397,986,1680,6292,1568,17165,7406,13115,8153,12065,2576,6699,3215,835,6604,2564,18727,12354,567,10809,5150,1400,3031,5411,1535,1055,3053,7,5337,415,7027,22917,824,6375,4764,11795,13994,1288,14901,363,5597,1515,1501,9920,12760,1406,17154,12799,27,1532,4103,4446,15565,9629,591,646,8195,334,2297,19594,14102,4843,661,16538,8994,7095,3777,9999,7770,1556,4446,17003,6267,21987,216,1570,15227,2662,11036,2558,2120,9536,18996,3274,9059,14583,2425,5188,12668,6962,995,1476,11388,10793,14166,1558,2835,5369,8084,5625,4958,6523,5022,4143,2377,710,1119,17844,4078,9579,13,1637,3844,10856,2120,23041,8656,6383,2456,15423,3156,3401,5812,11572,4523,3621,9216,4722,8851,5040,10155,5425,8377,8937,4613,4063,4080,16326,2068,5036,9161,4341,3994,10621,11498,4100,3734,16192,878,15501,12809,956,2125,2421,10277,1629,7266,7,10698,5061,10084,7407,1518,3726,11973,14120,1892,329,5865,8904,5632,14415,1970,16268,8749,7518,1176,457,6461,22510,6862,5918,11735,1680,1193,15014,1598,1247,2821,15114,5530,13999,4010,3703,7378,16826,347,10892,7264,7226,6440,3429,10916,16930,3867,333,23519,9580,4617,5277,2200,8475,6375,13429,11978,9880,4585,3631,549,19150,22198,87,3959,7475,1061,1653,11966,7,4735,671,4005,24007,3834,2258,9131,2312,4044,9791,6350,8469,8418,73,22366,9938,16840,2180,7,5334,4479,12622,10947,5170,7760,5000,3975,2092,2649,9306,10960,5768,15952,1647,737,22142,287,6332,12979,11264,7,1207,1889,21025,13766,20,127,5993,8018,3735,10146,10026,827,2432,4584,19869,7,14444,2909,5937,7899,6512,21466,13899,15936,12439,10175,12591,4006,47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502,67,4359,9726,47,14535,23662,11885,227,15518,8623,4897,6176,3449,5355,5378,2755,8326,5576,3243,2931,9945,13127,793,470,5775,4482,4940,20,1417,8844,2444,33,9151,3356,10919,20,27,3487,7328,5627,14701,8117,13775,12832,2757,9761,8530,1486,4224,9324,60,6089,340,113,3773,374,2729,774,393,1283,6337,8238,2755,4358,2623,6031,11180,4650,6079,8728,3688,1605,5620,1714,5030,7920,2169,9309,5271,5560,11073,5589,1286,8137,87,11834,4411,3525,16692,4169,3287,4252,8078,3661,846,4646,9181,1953,3596,7,2530,2196,4167,12944,5391,165,6055,11511,4235,10847,4287,3318,2489,4388,4742,9617,435,151,6558,1442,3345,738,3159,3361,2229,7154,140,15120,2557,5499,1538,1404,10704,1060,6650,11235,10606,246,9168,3048,1799,11903,4170,5551,6805,12487,10125,5334,1339,27593,1391,678,8490,2291,21136,3982,2527,21815,342,1396,15944,7,16856,73,12075,3637,728,3033,10100,7254,2904,7304,2847,966,11521,58,812,12479,7395,4499,9821,2258,2880,5229,9697,4669,2096,7228,345,8507,9671,31830,3843,2247,7451,2202,8708,3047,5151,6629,3373,10081,5318,9031,8707,842,5104,5747,9598,708,1584,8252,2223,9292,5283,10941,7103,7478,1922,3031,16520,2984,6606,221,8828,19686,3676,6042,6204,1061,9526,9720,8508,3546,7117,896,9475,1651,13,13320,10512,14859,13,9734,107,7524,11289,6769,14082,3700,8400,10464,2551,1496,13312,1257,2437,3680,6122,2292,1551,3259,93,4553,7740,1081,4076,470,7423,13220,12763,654,6559,6717,6192,6969,1300,14133,9054,3355,9378,3249,6711,4587,416,9219,386,11377,7656,613,2074,12999,20884,7007,8564,9273,100,13,2714,4361,6914,13019,4986,1814,3257,15360,11212,9897,2340,6341,4973,108,5866,1475,3043,1761,652,10148,1129,12625,19037,7115,869,1182,520,1693,8917,4752,3331,12354,10082,8239,16556,1436,2875,1240,7558,5296,4617,8043,7673,1866,2385,28182,1347,1752,2213,9129,11610,12152,837,10741,3277,14896,9505,6629,1226,1356,456,11547,10086,127,140,12195,12049,28239,4847,22001,1639,10428,2121,630,475,10056,919,8415,2164,11170,9064,1477,5255,3404,17621,943,5458,13350,3833,2168,3615,561,13165,1600,17800,2715,2697,7596,272,549,9548,3637,3865,5662,9361,2049,3916,635,12818,1899,651,5862,6472,4962,2657,9846,1947,6534,1733,3991,6975,6652,11639,93,10975,7273,5640,8192,2870,12888,3355,11151,9417,1231,9015,1116,17016,479,6940,3246,3334,7564,10435,1138,2357,5056,11129,22400,3145,2793,12559,3877,9671,614,5552,16993,5966,2471,6465,252,1677,100,869,5369,513,11562,2702,320,2334,7482,4825,7372,6632,4058,8711,1170,1584,7802,30,6557,6955,6403,12288,1551,10231,2978,9380,12237,431,7,14262,6880,1920,2594,11200,538,8097,7915,107,663,10251,10179,1981,2119,3805,5249,1409,12078,1674,60,8753,520,12420,5846,2480,3961,7621,2451,3708,1692,5537,2220,3281,27307,7,8690,9175,5393,1882,2709,12380,3483,1960,3263,8329,3627,2683,20,435,6675,1443,5139,10981,4115,2226,190,12631,154,13607,16956,14602,3972,12095,20232,9171,1210,227,11678,1470,13029,7682,2958,10667,2015,11196,17639,1181,9935,73,1118,5734,5472,11552,2963,6271,4554,6015,84,7295,1101,9141,1711,1286,15188,5082,2907,1109,8722,6931,4349,8871,1565,10168,4593,4015,6194,2872,5305,180,11893,298,2790,173,4025,2506,14806,26581,1648,3603,6232,5711,10629,1646,6654,8233,10129,614,5870,5554,7650,2032,1861,386,11586,5557,9923,5579,4057,8116,5218,2181,8780,8820,10988,1770,7696,7135,22108,1712,10085,1998,1973,2053,109,244,67,7075,66,16387,20,11967,1906,2263,5060,7629,8271,1686,7244,353,10518,3546,544,2134,1494,11770,3304,1233,631,3536,4079,7787,4951,4614,25590,4309,1290,13,5179,3046,873,2137,373,11011,8198,3441,7926,4218,11002,7,10786,7987,3456,22047,4198,6930,3081,8417,9656,153,1969,3701,9555,3737,312,11175,4935,411,13443,3608,736,10918,2149,9087,32006,2589,4007,8031,4168,5427,5680,2077,11343,5609,14117,6344,1956,5131,539,14580,481,13465,147,7893,3651,12559,3089,3,175,20,15547,592,12792,2313,11796,389,3067,8370,3548,4627,11861,76,11002,8322,768,7388,655,8184,9421,1005,9059,10468,2865,3978,6316,8022,4688,6959,3149,10604,220,4813,7957,2661,12234,6998,19277,3342,7551,12557,3488,9228,2016,11719,1375,1356,3577,2059,2291,11865,9131,9092,640,6599,10574,482,10969,9732,401,2806,8762,4686,4980,13294,73,33,9392,2171,6198,6241,4135,2931,6751,2274,3470,8444,890,1394,1652,11541,7190,354,11445,6795,4193,2245,3379,9766,2191,2095,8517,11082,1566,5253,3772,7314,3151,2515,1727,1146,14302,5387,8171,1145,848,3691,3679,9552,4408,10171,1650,47,12195,13668,5930,873,552,9650,11913,2578,880,8827,4471,7297,6406,5199,4697,10014,7730,12536,863,12127,3755,9814,1529,7133,812,11813,704,3860,2787,12743,6975,2169,9375,1817,6367,4886,4830,5917,561,12627,4185,5681,4163,9585,1990,555,11038,6514,136,2678,7438,5148,5820,9870,3107,11445,533,10981,938,7960,1417,1176,6436,7249,4013,1643,1993,1856,1920,15799,10310,2688,5382,2986,13335,6117,4007,13364,2934,9374,272,11307,13218,1352,13515,1689,4264,4296,2512,3886,1130,13,6287,20,408,216,77,20,936,3139,18858,40,1483,8307,9890,450,1109,5304,2660,3586,5953,7087,2717,9097,127,9783,87,480,12063,5801,6990,4309,1797,8999,26,10433,6925,6041,4192,5434,27,1582,8981,973,11344,15251,2214,8604,10,1805,938,111,13354,313,2216,10013,15101,87,5378,1852,26316,1773,12894,6236,3790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}