testcase

[[3419,8423],[164,2627],[3139,7517],[1751,4154],[9489,86],[6637,3814],[8056,4472],[1361,7808],[8951,7291],[2729,3128],[3981,8815],[492,3230],[8077,8257],[1046,8951],[7601,3995],[8077,2335],[7913,6100],[2120,552],[8052,7377],[3699,4314],[4956,9383],[1398,9645],[5612,3194],[1041,7969],[9353,9504],[3498,6074],[3778,6387],[6444,926],[8188,3068],[7573,9346],[1947,2744],[3161,1583],[6931,2466],[3123,2746],[3063,9465],[5436,4950],[2706,2321],[705,4817],[6848,3079],[7513,2377],[3314,3572],[1932,2535],[2635,6677],[31,1250],[3553,3075],[8978,2303],[6216,5277],[6544,5712],[8566,6145],[3541,9898],[7554,842],[1566,7443],[3891,2823],[8698,8532],[1692,6859],[4094,8342],[5207,9744],[3020,3461],[4752,6631],[2033,1323],[6094,3315],[16,8209],[3776,2627],[8889,2818],[755,2167],[9267,8809],[9701,777],[9464,9921],[2657,9329],[8606,8059],[6912,9454],[133,6606],[7149,5042],[7765,6180],[5361,4592],[7149,1438],[847,9109],[732,786],[9824,548],[9833,2443],[9920,232],[9957,8386],[1792,5312],[2950,3834],[3650,7948],[900,5644],[9741,7375],[964,6898],[7896,1036],[2274,3628],[5552,3985],[7669,8468],[5923,2191],[8154,1137],[7929,9618],[7960,4999],[3502,9719],[516,2896],[4059,2421],[3576,1295],[4835,20],[5679,8186],[7977,1570],[6570,8718],[5669,7159],[1610,6839],[5384,9486],[9839,1342],[5313,3512],[7560,7329],[3341,4860],[7253,8250],[4720,2680],[935,6817],[5006,9489],[3847,7892],[8131,367],[2769,8649],[7110,6644],[1890,5743],[1839,7297],[3431,1254],[5021,4290],[2902,1220],[4068,7124],[7223,1315],[5996,7738],[847,9773],[4553,7993],[3469,952],[3515,7868],[7258,8196],[9604,9484],[6500,397],[6891,2653],[495,4697],[3922,6202],[9333,956],[3946,3785],[1766,4052],[9708,5744],[7309,1019],[5938,3607],[1017,5011],[5151,6079],[4784,6132],[4469,8449],[8021,8735],[7943,2157],[5530,880],[2771,3653],[9851,776],[9714,7691],[4316,929],[9939,5982],[6155,3487],[4452,528],[6640,1633],[8847,3833],[8645,9925],[1031,4648],[6649,3067],[8969,2393],[3186,8448],[565,5104],[5092,1023],[7873,4665],[2515,5720],[6144,2960],[700,8342],[4431,4285],[7759,9179],[640,8724],[7558,6663],[2450,451],[5821,4868],[3596,760],[5009,6504],[4648,7689],[2385,4910],[7638,7327],[6783,5319],[3676,6987],[8202,5463],[101,9837],[9912,462],[2772,189],[8645,5511],[58,9865],[8230,7244],[7999,1685],[4491,6946],[2053,9514],[3479,7752],[8697,4200],[302,5464],[7360,1570],[7161,2012],[4755,304],[3088,1774],[6916,2967],[5635,1766],[4033,3320],[6795,3705],[4940,4164],[5895,2120],[8274,5160],[1587,2423],[9239,646],[5364,3424],[9598,1878],[4279,5057],[6076,4919],[5442,8463],[6785,2420],[8948,6061],[4613,3600],[5615,9879],[553,566],[3969,6767],[4233,8141],[5915,9627],[7497,9335],[2988,1508],[9533,5078],[1460,5468],[2030,6293],[5930,9963],[193,3541],[1911,2059],[295,6403],[9339,3504],[372,262],[4527,3135],[8408,1766],[2130,9366],[7508,1038],[3183,6667],[8439,4494],[3545,9626],[4932,1949],[7300,5433],[9733,3062],[9043,8371],[4449,1292],[3780,3665],[4830,6385],[1914,2260],[9547,8398],[8192,4081],[9069,38],[7308,4335],[4486,3126],[3224,6383],[6189,1328],[3401,935],[9071,2072],[4591,5583],[4437,8822],[4282,5162],[8733,3858],[2840,1896],[3480,3917],[6857,18],[2789,2228],[2912,7451],[2652,5706],[995,1861],[8674,6892],[9996,9738],[5449,8871],[8312,1103],[5457,4655],[2453,6727],[6094,433],[6805,443],[2448,525],[8633,7809],[628,2267],[720,2152],[4002,2141],[4648,7356],[7727,7373],[2672,7377],[2167,8724],[7647,2675],[5651,2636],[7644,744],[6601,4675],[3520,9348],[6569,3205],[9032,1994],[551,5461],[123,1252],[6170,4152],[1065,8283],[6624,5409],[7434,8864],[1182,6224],[3507,5842],[236,5240],[8487,6696],[2569,5827],[3541,7796],[2448,5561],[8487,646],[3523,9671],[1627,7796],[8190,7153],[5359,7583],[205,7545],[6987,4837],[5565,2428],[6259,9303],[9802,2069],[6574,167],[1302,1832],[278,3384],[568,7350],[8494,5624],[42,4217],[8344,3529],[3992,5501],[9033,4418],[9092,3589],[8016,1091],[9518,6786],[6403,7721],[8460,1063],[4757,6917],[4226,3967],[735,1858],[635,381],[7161,3228],[5017,3918],[4288,1162],[1260,981],[5776,8491],[9548,2987],[6748,2291],[5319,3510],[2631,9475],[4384,5186],[3357,5721],[7295,7478],[8801,943],[1418,3917],[689,6308],[1366,3676],[3710,7366],[6108,475],[5856,8197],[8403,2726],[5214,6996],[5813,7581],[2058,1726],[9845,687],[4647,2464],[6379,4875],[9739,557],[4093,9986],[3154,6687],[4032,1770],[4686,5511],[6607,1506],[5590,226],[8861,7951],[1146,1162],[7158,1662],[9817,1726],[6390,9393],[1549,1160],[5843,7524],[7125,24],[5006,1893],[3563,3810],[2964,7382],[2880,7801],[9028,8592],[8650,7525],[1611,7947],[8537,789],[6586,4676],[9236,7970],[5273,5041],[6595,3801],[2224,4833],[6583,8983],[4913,5398],[1634,1467],[5328,8075],[806,9955],[3891,568],[4013,9055],[7210,4487],[2670,2048],[4324,762],[250,5714],[4946,4326],[6442,4346],[8879,90],[4282,8913],[7466,8562],[9660,1411],[6163,529],[2526,5216],[7677,1516],[175,6919],[4090,7858],[86,2127],[2833,4769],[6810,2645],[2372,4302],[9570,8819],[480,4842],[2922,8848],[993,346],[9707,112],[4177,9837],[3737,1106],[186,6071],[3165,2657],[7210,7813],[3805,5090],[3419,7418],[354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