[[[0,12,20,1,0],[0,28,100,1,0],[1,69,117,1,0],[0,100,172,1,0],[1,166,190,1,0],[0,172,244,1,0],[1,222,270,1,0],[0,244,316,1,0],[1,286,310,1,0],[1,310,334,1,0],[0,316,364,1,0],[1,342,390,1,0],[0,364,436,1,0],[1,390,414,1,0],[0,436,508,1,0],[1,447,495,1,0],[0,508,516,1,0],[0,516,588,1,0],[1,551,575,1,0],[1,575,599,1,0],[0,588,660,1,0],[1,599,647,1,0],[1,658,706,1,0],[0,660,732,1,0],[1,719,767,1,0],[0,732,804,1,0],[1,767,815,1,0],[0,804,876,1,0],[1,815,839,1,0],[1,839,887,1,0],[0,876,948,1,0],[1,911,959,1,0],[0,948,1020,1,0],[1,959,1007,1,0],[0,1020,1092,1,0],[1,1029,1053,1,0],[1,1053,1077,1,0],[1,1077,1125,1,0],[0,1092,1164,1,0],[1,1125,1173,1,0],[0,1164,1236,1,0],[1,1224,1248,1,0],[0,1236,1308,1,0],[1,1248,1296,1,0],[0,1308,1316,1,0],[0,1316,1388,1,0],[1,1328,1352,1,0],[1,1369,1393,1,0],[0,1388,1460,1,0],[1,1410,1434,1,0],[1,1434,1482,1,0],[0,1460,1468,1,0],[0,1468,1540,1,0],[1,1482,1530,1,0],[0,1540,1612,1,0],[1,1569,1593,1,0],[1,1595,1619,1,0],[0,1612,1620,1,0],[0,1622,1694,1,0],[1,1665,1689,1,0],[0,1695,1767,1,0],[1,1705,1729,1,0],[1,1729,1777,1,0],[0,1767,1839,1,0],[1,1837,1861,1,0],[0,1839,1911,1,0],[1,1880,1928,1,0],[0,1911,1983,1,0],[1,1928,1976,1,0],[1,1976,2000,1,0],[0,1983,1991,1,0],[0,1991,2063,1,0],[1,2000,2024,1,0],[1,2029,2053,1,0],[1,2053,2077,1,0],[0,2063,2135,1,0],[1,2078,2126,1,0],[1,2126,2150,1,0],[0,2135,2143,1,0],[0,2143,2215,1,0],[1,2150,2198,1,0],[1,2198,2222,1,0],[0,2215,2287,1,0],[1,2222,2270,1,0],[1,2270,2294,1,0],[0,2287,2295,1,0],[1,2294,2318,1,0],[0,2295,2367,1,0],[1,2365,2389,1,0],[0,2367,2375,1,0],[0,2375,2447,1,0],[1,2389,2413,1,0],[0,2447,2519,1,0],[1,2461,2485,1,0],[1,2485,2533,1,0],[0,2519,2591,1,0],[1,2533,2557,1,0],[1,2557,2581,1,0],[0,2591,2663,1,0],[1,2629,2653,1,0],[1,2653,2677,1,0],[0,2663,2671,1,0],[0,2671,2743,1,0],[1,2725,2749,1,0],[0,2743,2751,1,0],[1,2749,2773,1,0],[0,2751,2823,1,0],[1,2773,2821,1,0],[1,2821,2845,1,0],[0,2823,2831,1,0],[0,2831,2903,1,0],[1,2893,2917,1,0],[0,2903,2911,1,0],[0,2911,2983,1,0],[1,2919,2967,1,0],[1,2967,2991,1,0],[0,2983,3055,1,0],[1,2991,3015,1,0],[0,3055,3063,1,0],[1,3061,3085,1,0],[0,3063,3135,1,0],[1,3085,3109,1,0],[0,3135,3207,1,0],[1,3157,3181,1,0],[1,3199,3223,1,0],[0,3207,3279,1,0],[1,3223,3247,1,0],[1,3248,3272,1,0],[0,3279,3351,1,0],[1,3325,3349,1,0],[1,3349,3373,1,0],[0,3351,3423,1,0],[1,3421,3445,1,0],[0,3432,3440,1,0],[1,3469,3493,1,0],[0,3474,3546,1,0],[1,3493,3517,1,0],[1,3517,3541,1,0],[1,3541,3565,1,0],[0,3546,3554,1,0],[0,3562,3634,1,0],[1,3565,3589,1,0],[1,3589,3613,1,0],[0,3634,3706,1,0],[1,3637,3661,1,0],[1,3661,3685,1,0],[1,3685,3709,1,0],[1,3709,3733,1,0],[0,3712,3784,1,0],[1,3734,3758,1,0],[1,3758,3782,1,0],[1,3782,3806,1,0],[0,3792,3864,1,0],[1,3806,3830,1,0],[1,3830,3854,1,0],[1,3854,3878,1,0],[0,3864,3936,1,0],[1,3878,3902,1,0],[1,3902,3926,1,0],[1,3926,3950,1,0],[0,3942,4014,1,0],[1,3950,3974,1,0],[1,3974,3998,1,0],[1,3998,4022,1,0],[0,4014,4086,1,0],[1,4022,4046,1,0],[1,4046,4070,1,0],[1,4070,4094,1,0],[1,4094,4118,1,0],[1,4118,4142,1,0],[1,4142,4166,1,0],[0,4144,4216,1,0],[1,4166,4190,1,0],[1,4190,4214,1,0],[1,4214,4238,1,0],[0,4216,4288,1,0],[1,4238,4286,1,0],[1,4286,4310,1,0],[0,4288,4360,1,0],[1,4310,4358,1,0],[1,4358,4382,1,0],[0,4360,4432,1,0],[1,4382,4406,1,0],[1,4406,4430,1,0],[1,4430,4478,1,0],[0,4432,4504,1,0],[1,4479,4503,1,0],[1,4503,4551,1,0],[0,4518,4590,1,0],[1,4551,4575,1,0],[0,4590,4662,1,0],[1,4598,4622,1,0],[1,4622,4670,1,0],[0,4662,4734,1,0],[1,4694,4718,1,0],[1,4718,4766,1,0],[1,4766,4790,1,0],[0,4797,4869,1,0],[1,4816,4840,1,0],[1,4840,4888,1,0],[0,4869,4941,1,0],[1,4888,4936,1,0],[1,4936,4960,1,0],[0,4952,5024,1,0],[1,4960,5008,1,0],[1,5008,5056,1,0],[0,5024,5096,1,0],[1,5080,5128,1,0],[0,5096,5168,1,0],[1,5128,5176,1,0],[0,5168,5240,1,0],[1,5176,5224,1,0],[1,5224,5272,1,0],[0,5240,5312,1,0],[1,5272,5320,1,0],[1,5320,5368,1,0],[0,5325,5397,1,0],[1,5368,5416,1,0],[0,5397,5469,1,0],[1,5416,5464,1,0],[1,5464,5512,1,0],[0,5469,5541,1,0],[1,5512,5560,1,0],[0,5541,5613,1,0],[1,5560,5608,1,0],[1,5613,5661,1,0],[0,5639,5711,1,0],[1,5680,5728,1,0],[0,5711,5783,1,0],[1,5728,5776,1,0],[1,5776,5824,1,0],[0,5783,5855,1,0],[1,5824,5872,1,0],[0,5855,5927,1,0],[1,5872,5920,1,0],[1,5920,5968,1,0],[0,5927,5999,1,0],[1,5970,6018,1,0],[0,5999,6071,1,0],[1,6018,6066,1,0],[1,6066,6114,1,0],[0,6071,6143,1,0],[1,6114,6162,1,0],[0,6143,6215,1,0],[1,6162,6210,1,0],[1,6210,6258,1,0],[1,6258,6306,1,0],[1,6306,6354,1,0],[1,6354,6402,1,0],[1,6402,6450,1,0],[1,6450,6498,1,0],[1,6498,6546,1,0],[1,6546,6594,1,0],[1,6594,6642,1,0],[1,6642,6690,1,0],[1,6690,6738,1,0],[1,6738,6786,1,0],[1,6786,6834,1,0],[1,6834,6882,1,0],[1,6882,6930,1,0],[1,6930,6978,1,0],[1,6978,7026,1,0]],[[0,45,117,1,0],[1,69,141,1,0],[1,177,249,1,0],[0,184,208,1,0],[0,208,280,1,0],[1,258,330,1,0],[0,280,352,1,0],[1,330,402,1,0],[0,361,433,1,0],[1,402,474,1,0],[0,448,520,1,0],[1,474,546,1,0],[0,544,616,1,0],[1,546,618,1,0],[0,616,688,1,0],[1,657,729,1,0],[0,697,769,1,0],[1,729,801,1,0],[0,769,841,1,0],[1,801,873,1,0],[1,873,945,1,0],[0,904,928,1,0],[0,928,1000,1,0],[1,969,1041,1,0],[0,1000,1072,1,0],[1,1062,1134,1,0],[0,1072,1144,1,0],[1,1134,1206,1,0],[0,1192,1264,1,0],[1,1206,1278,1,0],[1,1278,1350,1,0],[0,1288,1360,1,0],[1,1350,1422,1,0],[0,1360,1432,1,0],[1,1423,1495,1,0],[0,1432,1504,1,0],[1,1495,1567,1,0],[0,1504,1576,1,0],[1,1567,1639,1,0],[0,1576,1648,1,0],[1,1670,1742,1,0],[0,1720,1792,1,0],[1,1766,1838,1,0],[0,1792,1864,1,0],[1,1838,1910,1,0],[0,1888,1912,1,0],[1,1910,1982,1,0],[0,1936,2008,1,0],[1,1982,2054,1,0],[0,2008,2080,1,0],[0,2080,2104,1,0],[1,2097,2169,1,0],[0,2109,2181,1,0],[1,2169,2241,1,0],[0,2200,2224,1,0],[0,2224,2296,1,0],[1,2241,2313,1,0],[0,2301,2325,1,0],[1,2317,2389,1,0],[0,2344,2416,1,0],[1,2389,2461,1,0],[0,2416,2440,1,0],[0,2440,2512,1,0],[1,2466,2538,1,0],[0,2512,2584,1,0],[1,2538,2610,1,0],[0,2584,2656,1,0],[1,2610,2682,1,0],[0,2656,2728,1,0],[1,2682,2754,1,0],[0,2728,2800,1,0],[1,2754,2826,1,0],[0,2800,2872,1,0],[1,2826,2898,1,0],[0,2872,2944,1,0],[1,2898,2970,1,0],[0,2944,3016,1,0],[1,2970,3042,1,0],[0,3016,3088,1,0],[1,3042,3114,1,0],[0,3088,3160,1,0],[1,3114,3186,1,0],[1,3186,3258,1,0],[0,3208,3232,1,0],[0,3232,3256,1,0],[0,3256,3328,1,0],[1,3258,3330,1,0],[1,3330,3402,1,0],[0,3337,3361,1,0],[0,3361,3433,1,0],[1,3402,3474,1,0],[0,3433,3505,1,0],[1,3474,3546,1,0],[0,3520,3592,1,0],[1,3546,3618,1,0],[0,3605,3629,1,0],[1,3620,3692,1,0],[0,3653,3677,1,0],[0,3677,3701,1,0],[1,3694,3766,1,0],[0,3723,3795,1,0],[1,3766,3838,1,0],[0,3795,3819,1,0],[0,3819,3843,1,0],[1,3838,3910,1,0],[0,3843,3867,1,0],[0,3870,3942,1,0],[1,3910,3982,1,0],[0,3942,4014,1,0],[1,3982,4054,1,0],[0,4014,4086,1,0],[1,4054,4126,1,0],[1,4126,4198,1,0],[0,4160,4232,1,0],[1,4198,4270,1,0],[0,4232,4304,1,0],[1,4270,4342,1,0],[0,4304,4376,1,0],[1,4342,4414,1,0],[0,4376,4448,1,0],[1,4414,4486,1,0],[0,4448,4520,1,0],[1,4487,4559,1,0],[1,4559,4631,1,0],[0,4592,4664,1,0],[1,4631,4703,1,0],[0,4664,4736,1,0],[1,4703,4775,1,0],[0,4736,4808,1,0],[1,4775,4847,1,0],[0,4808,4880,1,0],[1,4847,4919,1,0],[1,4919,4991,1,0],[0,4954,5026,1,0],[1,4991,5063,1,0],[0,5026,5098,1,0],[1,5063,5135,1,0],[0,5104,5136,1,0],[1,5135,5207,1,0],[0,5170,5242,1,0],[1,5207,5279,1,0],[0,5242,5314,1,0],[1,5279,5351,1,0],[0,5314,5386,1,0],[1,5351,5423,1,0],[0,5386,5458,1,0],[1,5425,5497,1,0],[1,5497,5569,1,0],[0,5506,5538,1,0],[0,5538,5610,1,0],[1,5569,5641,1,0],[0,5610,5642,1,0],[0,5642,5674,1,0],[0,5674,5706,1,0],[0,5706,5778,1,0],[1,5713,5785,1,0],[0,5778,5850,1,0],[1,5785,5857,1,0],[0,5850,5922,1,0],[1,5857,5929,1,0],[0,5922,5994,1,0],[1,5929,6001,1,0],[1,6001,6073,1,0],[0,6026,6058,1,0],[1,6073,6145,1,0],[0,6090,6122,1,0],[0,6122,6194,1,0],[0,6378,6410,1,0],[0,6506,6538,1,0],[0,6634,6666,1,0],[0,6762,6794,1,0],[0,6922,6954,1,0],[0,7082,7114,1,0],[0,7242,7274,1,0],[0,7402,7434,1,0],[0,7562,7594,1,0]],[[0,10,34,1,0],[0,34,106,1,0],[1,69,109,1,0],[0,106,130,1,0],[1,109,149,1,0],[0,130,202,1,0],[1,165,205,1,0],[0,202,274,1,0],[1,253,293,1,0],[0,274,298,1,0],[1,293,333,1,0],[0,298,370,1,0],[1,333,373,1,0],[0,370,442,1,0],[1,373,413,1,0],[1,413,445,1,0],[0,442,514,1,0],[1,445,477,1,0],[1,482,514,1,0],[1,514,554,1,0],[0,515,587,1,0],[1,581,621,1,0],[0,587,611,1,0],[0,611,683,1,0],[1,621,653,1,0],[1,657,697,1,0],[0,683,707,1,0],[1,697,729,1,0],[0,707,779,1,0],[1,729,769,1,0],[1,769,809,1,0],[0,779,803,1,0],[0,803,875,1,0],[1,837,877,1,0],[0,875,899,1,0],[1,877,917,1,0],[0,899,971,1,0],[1,917,949,1,0],[1,949,989,1,0],[0,971,995,1,0],[1,989,1021,1,0],[0,995,1067,1,0],[1,1021,1053,1,0],[0,1067,1091,1,0],[0,1091,1163,1,0],[1,1093,1133,1,0],[1,1137,1169,1,0],[0,1163,1235,1,0],[1,1169,1209,1,0],[1,1217,1257,1,0],[0,1235,1307,1,0],[1,1259,1291,1,0],[0,1307,1331,1,0],[0,1331,1403,1,0],[1,1350,1390,1,0],[0,1403,1427,1,0],[1,1422,1462,1,0],[0,1427,1499,1,0],[1,1462,1502,1,0],[0,1499,1571,1,0],[1,1502,1534,1,0],[1,1534,1574,1,0],[0,1571,1595,1,0],[1,1574,1614,1,0],[0,1595,1667,1,0],[1,1614,1646,1,0],[0,1667,1691,1,0],[1,1678,1718,1,0],[0,1691,1763,1,0],[1,1718,1758,1,0],[1,1758,1790,1,0],[0,1763,1787,1,0],[0,1787,1859,1,0],[1,1790,1830,1,0],[1,1830,1862,1,0],[0,1859,1883,1,0],[1,1862,1902,1,0],[0,1883,1955,1,0],[1,1934,1974,1,0],[0,1955,1979,1,0],[1,1976,2016,1,0],[0,1979,2051,1,0],[1,2017,2049,1,0],[0,2051,2123,1,0],[1,2067,2099,1,0],[1,2099,2139,1,0],[0,2123,2195,1,0],[1,2190,2230,1,0],[0,2195,2267,1,0],[0,2267,2339,1,0],[1,2280,2320,1,0],[0,2339,2411,1,0],[1,2374,2414,1,0],[0,2411,2483,1,0],[1,2424,2464,1,0],[1,2464,2504,1,0],[0,2483,2555,1,0],[0,2555,2627,1,0],[1,2558,2598,1,0],[1,2598,2638,1,0],[0,2627,2699,1,0],[1,2643,2683,1,0],[0,2699,2771,1,0],[1,2742,2782,1,0],[0,2771,2843,1,0],[1,2782,2822,1,0],[1,2822,2862,1,0],[0,2843,2915,1,0],[1,2862,2902,1,0],[1,2902,2942,1,0],[0,2915,2987,1,0],[0,2987,3059,1,0],[1,2998,3038,1,0],[0,3059,3131,1,0],[1,3062,3102,1,0],[1,3102,3142,1,0],[0,3131,3203,1,0],[1,3142,3182,1,0],[1,3182,3222,1,0],[0,3203,3275,1,0],[1,3222,3262,1,0],[1,3262,3302,1,0],[0,3275,3347,1,0],[1,3326,3366,1,0],[0,3347,3419,1,0],[1,3366,3406,1,0],[1,3406,3446,1,0],[0,3421,3493,1,0],[1,3446,3486,1,0],[1,3486,3526,1,0],[0,3493,3565,1,0],[0,3565,3637,1,0],[1,3582,3622,1,0],[1,3622,3662,1,0],[0,3637,3709,1,0],[1,3662,3702,1,0],[1,3702,3742,1,0],[0,3709,3781,1,0],[1,3742,3782,1,0],[0,3781,3853,1,0],[1,3838,3878,1,0],[0,3853,3925,1,0],[1,3878,3918,1,0],[1,3918,3958,1,0],[0,3925,3997,1,0],[1,3974,4014,1,0],[0,3998,4070,1,0],[1,4014,4054,1,0],[1,4054,4094,1,0],[0,4070,4142,1,0],[1,4094,4134,1,0],[1,4166,4206,1,0],[0,4167,4239,1,0],[1,4206,4246,1,0],[0,4239,4311,1,0],[1,4254,4286,1,0],[0,4311,4383,1,0],[1,4318,4358,1,0],[1,4358,4398,1,0],[0,4383,4455,1,0],[1,4398,4438,1,0],[1,4438,4478,1,0],[1,4478,4518,1,0],[0,4502,4574,1,0],[1,4518,4558,1,0],[1,4558,4598,1,0],[0,4578,4650,1,0],[1,4598,4638,1,0],[1,4638,4678,1,0],[0,4652,4724,1,0],[1,4678,4718,1,0],[1,4718,4758,1,0],[0,4746,4818,1,0],[1,4758,4798,1,0],[1,4798,4838,1,0],[0,4819,4891,1,0],[1,4846,4886,1,0],[1,4886,4918,1,0],[1,4918,4958,1,0],[0,4936,5008,1,0],[1,4958,4998,1,0],[1,4998,5038,1,0],[0,5008,5080,1,0],[1,5038,5070,1,0],[1,5070,5102,1,0],[0,5080,5152,1,0],[1,5102,5134,1,0],[0,5166,5238,1,0],[1,5176,5216,1,0],[1,5216,5256,1,0],[0,5238,5310,1,0],[1,5264,5296,1,0],[1,5296,5336,1,0],[0,5310,5382,1,0],[1,5337,5369,1,0],[1,5392,5432,1,0],[0,5401,5473,1,0],[1,5432,5472,1,0],[1,5472,5512,1,0],[1,5512,5552,1,0],[0,5526,5598,1,0],[1,5552,5592,1,0],[1,5592,5624,1,0],[1,5624,5656,1,0],[1,5656,5696,1,0],[0,5657,5729,1,0],[1,5696,5728,1,0],[1,5728,5760,1,0],[0,5729,5801,1,0],[1,5760,5792,1,0],[1,5792,5824,1,0],[0,5801,5873,1,0],[1,5824,5856,1,0],[1,5856,5888,1,0],[0,5873,5945,1,0],[1,5888,5928,1,0],[1,5928,5960,1,0],[0,5945,6017,1,0],[1,5960,5992,1,0],[1,5992,6024,1,0],[0,6017,6089,1,0],[1,6024,6056,1,0],[1,6056,6088,1,0],[0,6089,6161,1,0],[1,6104,6136,1,0],[1,6136,6168,1,0],[0,6161,6233,1,0],[1,6168,6200,1,0],[1,6200,6232,1,0],[1,6232,6264,1,0],[0,6233,6305,1,0],[1,6264,6296,1,0],[1,6296,6328,1,0],[0,6305,6377,1,0],[1,6328,6360,1,0],[1,6360,6392,1,0],[0,6377,6449,1,0],[1,6392,6424,1,0],[1,6424,6456,1,0],[1,6456,6488,1,0],[1,6488,6520,1,0],[1,6520,6552,1,0],[1,6552,6584,1,0],[1,6584,6616,1,0],[1,6616,6648,1,0],[1,6648,6680,1,0],[1,6680,6712,1,0],[1,6712,6744,1,0],[1,6744,6776,1,0],[1,6776,6808,1,0],[1,6808,6840,1,0],[1,6840,6872,1,0],[1,6872,6904,1,0],[1,6904,6936,1,0],[1,6936,6968,1,0],[1,6968,7000,1,0],[1,7000,7032,1,0],[1,7032,7064,1,0],[1,7064,7096,1,0],[1,7096,7128,1,0],[1,7128,7160,1,0],[1,7160,7192,1,0],[1,7192,7224,1,0],[1,7224,7256,1,0],[1,7256,7288,1,0],[1,7288,7320,1,0],[1,7320,7352,1,0],[1,7352,7384,1,0],[1,7384,7416,1,0],[1,7416,7448,1,0],[1,7448,7480,1,0],[1,7480,7512,1,0]],[[0,12,84,1,0],[1,69,141,1,0],[0,118,190,1,0],[1,153,225,1,0],[0,216,288,1,0],[1,225,297,1,0],[1,297,369,1,0],[0,328,368,1,0],[1,369,441,1,0],[0,370,410,1,0],[0,410,482,1,0],[1,441,513,1,0],[0,482,554,1,0],[1,513,585,1,0],[1,585,657,1,0],[0,616,656,1,0],[0,656,728,1,0],[1,696,768,1,0],[0,728,800,1,0],[1,768,840,1,0],[0,840,912,1,0],[1,880,952,1,0],[0,920,992,1,0],[1,952,1024,1,0],[0,1016,1088,1,0],[1,1024,1096,1,0],[1,1096,1168,1,0],[0,1097,1169,1,0],[1,1168,1240,1,0],[0,1208,1280,1,0],[1,1240,1312,1,0],[0,1280,1352,1,0],[1,1312,1384,1,0],[0,1353,1425,1,0],[1,1432,1504,1,0],[0,1464,1504,1,0],[1,1504,1576,1,0],[0,1505,1577,1,0],[1,1576,1648,1,0],[0,1608,1680,1,0],[1,1648,1720,1,0],[0,1680,1752,1,0],[1,1720,1792,1,0],[0,1792,1864,1,0],[1,1832,1904,1,0],[0,1896,1968,1,0],[1,1904,1976,1,0],[0,1968,2040,1,0],[1,2016,2088,1,0],[0,2048,2120,1,0],[1,2088,2160,1,0],[0,2120,2192,1,0],[1,2160,2232,1,0],[1,2232,2304,1,0],[0,2233,2305,1,0],[1,2304,2376,1,0],[0,2336,2408,1,0],[1,2384,2456,1,0],[0,2417,2433,1,0],[0,2433,2505,1,0],[1,2456,2528,1,0],[0,2505,2577,1,0],[1,2568,2640,1,0],[0,2577,2649,1,0],[1,2647,2719,1,0],[0,2675,2691,1,0],[0,2691,2763,1,0],[1,2719,2791,1,0],[0,2763,2835,1,0],[1,2824,2896,1,0],[0,2865,2937,1,0],[1,2896,2968,1,0],[0,2937,3009,1,0],[1,3008,3080,1,0],[0,3040,3112,1,0],[1,3120,3192,1,0],[0,3121,3161,1,0],[0,3161,3233,1,0],[1,3192,3264,1,0],[1,3264,3336,1,0],[0,3265,3305,1,0],[0,3305,3377,1,0],[1,3336,3408,1,0],[0,3377,3449,1,0],[1,3448,3520,1,0],[0,3449,3521,1,0],[1,3520,3592,1,0],[0,3552,3624,1,0],[1,3592,3664,1,0],[0,3624,3696,1,0],[1,3665,3737,1,0],[0,3696,3768,1,0],[1,3737,3809,1,0],[0,3768,3840,1,0],[1,3809,3881,1,0],[0,3840,3912,1,0],[1,3881,3953,1,0],[0,3912,3984,1,0],[1,3953,4025,1,0],[0,3984,4056,1,0],[1,4034,4106,1,0],[0,4096,4136,1,0],[1,4136,4208,1,0],[0,4137,4209,1,0],[1,4208,4280,1,0],[0,4216,4256,1,0],[0,4272,4344,1,0],[1,4280,4352,1,0],[0,4344,4416,1,0],[1,4352,4424,1,0],[0,4425,4497,1,0],[1,4456,4528,1,0],[0,4497,4537,1,0],[1,4528,4600,1,0],[0,4560,4632,1,0],[1,4623,4695,1,0],[0,4632,4672,1,0],[0,4704,4776,1,0],[1,4744,4816,1,0],[0,4776,4848,1,0],[1,4816,4888,1,0],[0,4848,4920,1,0],[1,4897,4969,1,0],[0,4922,4962,1,0],[0,4962,5002,1,0],[1,4969,5041,1,0],[0,5002,5042,1,0],[1,5041,5113,1,0],[0,5042,5082,1,0],[1,5113,5185,1,0],[0,5114,5154,1,0],[0,5154,5194,1,0],[1,5185,5257,1,0],[1,5257,5329,1,0],[0,5273,5345,1,0],[1,5329,5401,1,0],[0,5345,5417,1,0],[1,5401,5473,1,0],[0,5417,5489,1,0],[1,5473,5545,1,0],[0,5489,5561,1,0],[1,5552,5624,1,0],[0,5570,5642,1,0],[1,5624,5696,1,0],[0,5642,5714,1,0],[1,5696,5768,1,0],[1,5768,5840,1,0],[0,5786,5858,1,0],[1,5840,5912,1,0],[0,5858,5930,1,0],[1,5912,5984,1,0],[0,5937,5953,1,0],[0,5953,6025,1,0],[1,5984,6056,1,0],[0,6025,6097,1,0],[1,6056,6128,1,0],[0,6097,6169,1,0],[1,6128,6200,1,0],[0,6169,6241,1,0],[1,6200,6272,1,0],[0,6241,6313,1,0],[1,6272,6344,1,0],[1,6441,6513,1,0],[0,6674,6690,1,0],[0,6738,6754,1,0],[0,6818,6834,1,0],[0,6954,6970,1,0],[0,7034,7050,1,0],[0,7114,7130,1,0],[0,7306,7322,1,0],[0,7386,7402,1,0],[0,7466,7482,1,0],[0,7546,7562,1,0],[0,7738,7754,1,0],[0,7818,7834,1,0],[0,7898,7914,1,0]],[[0,11,35,1,0],[0,35,107,1,0],[1,69,109,1,0],[0,107,131,1,0],[1,109,149,1,0],[0,131,203,1,0],[1,149,181,1,0],[1,181,221,1,0],[0,203,275,1,0],[1,253,293,1,0],[0,275,299,1,0],[1,293,333,1,0],[0,299,371,1,0],[1,333,373,1,0],[0,371,395,1,0],[1,373,413,1,0],[0,395,467,1,0],[1,413,445,1,0],[1,445,485,1,0],[0,467,539,1,0],[1,485,525,1,0],[0,539,611,1,0],[1,581,621,1,0],[0,611,683,1,0],[1,621,661,1,0],[1,661,693,1,0],[0,683,755,1,0],[1,693,733,1,0],[1,741,773,1,0],[0,755,827,1,0],[1,797,829,1,0],[0,827,851,1,0],[1,829,869,1,0],[0,851,923,1,0],[1,909,949,1,0],[0,923,995,1,0],[1,949,989,1,0],[1,989,1029,1,0],[0,995,1019,1,0],[0,1019,1091,1,0],[1,1029,1061,1,0],[1,1061,1101,1,0],[0,1091,1115,1,0],[1,1101,1133,1,0],[0,1115,1187,1,0],[1,1133,1173,1,0],[1,1173,1213,1,0],[0,1187,1211,1,0],[0,1211,1283,1,0],[1,1232,1272,1,0],[0,1283,1307,1,0],[0,1307,1379,1,0],[1,1309,1349,1,0],[1,1353,1393,1,0],[0,1379,1403,1,0],[1,1393,1433,1,0],[0,1403,1475,1,0],[1,1433,1473,1,0],[1,1473,1513,1,0],[0,1475,1499,1,0],[0,1499,1571,1,0],[1,1565,1605,1,0],[0,1571,1595,1,0],[0,1595,1667,1,0],[1,1605,1637,1,0],[1,1637,1669,1,0],[0,1667,1691,1,0],[1,1669,1709,1,0],[0,1691,1763,1,0],[1,1709,1741,1,0],[1,1741,1781,1,0],[0,1763,1787,1,0],[1,1781,1813,1,0],[0,1787,1859,1,0],[1,1813,1853,1,0],[1,1853,1893,1,0],[0,1859,1883,1,0],[0,1883,1955,1,0],[1,1906,1946,1,0],[1,1946,1986,1,0],[0,1955,1979,1,0],[0,1979,2051,1,0],[1,2037,2077,1,0],[0,2051,2123,1,0],[1,2109,2149,1,0],[0,2123,2195,1,0],[1,2165,2205,1,0],[0,2195,2267,1,0],[1,2205,2245,1,0],[0,2267,2339,1,0],[1,2293,2333,1,0],[1,2333,2373,1,0],[0,2339,2411,1,0],[1,2373,2413,1,0],[0,2411,2483,1,0],[1,2444,2484,1,0],[1,2484,2524,1,0],[0,2485,2557,1,0],[1,2525,2565,1,0],[0,2557,2629,1,0],[1,2621,2661,1,0],[0,2629,2701,1,0],[1,2661,2701,1,0],[1,2701,2741,1,0],[0,2702,2774,1,0],[1,2768,2808,1,0],[0,2774,2846,1,0],[1,2808,2848,1,0],[0,2846,2918,1,0],[1,2848,2888,1,0],[1,2888,2928,1,0],[0,2918,2990,1,0],[1,2928,2968,1,0],[0,2990,3062,1,0],[1,3022,3062,1,0],[1,3062,3102,1,0],[0,3065,3137,1,0],[1,3102,3142,1,0],[0,3139,3211,1,0],[1,3166,3206,1,0],[1,3206,3246,1,0],[0,3211,3283,1,0],[1,3248,3288,1,0],[0,3283,3355,1,0],[1,3288,3328,1,0],[1,3328,3368,1,0],[0,3355,3427,1,0],[1,3422,3462,1,0],[0,3427,3499,1,0],[1,3462,3502,1,0],[0,3499,3571,1,0],[1,3502,3542,1,0],[1,3566,3606,1,0],[0,3571,3643,1,0],[1,3606,3646,1,0],[0,3643,3715,1,0],[1,3646,3686,1,0],[1,3686,3726,1,0],[0,3715,3787,1,0],[1,3726,3766,1,0],[0,3790,3862,1,0],[1,3822,3862,1,0],[1,3862,3902,1,0],[0,3863,3935,1,0],[1,3902,3942,1,0],[0,3935,4007,1,0],[1,3942,3982,1,0],[1,3982,4022,1,0],[0,4007,4079,1,0],[1,4078,4118,1,0],[0,4079,4151,1,0],[1,4125,4165,1,0],[0,4152,4224,1,0],[1,4165,4205,1,0],[0,4225,4297,1,0],[1,4262,4302,1,0],[0,4297,4369,1,0],[1,4309,4349,1,0],[1,4349,4389,1,0],[0,4369,4441,1,0],[1,4446,4486,1,0],[1,4486,4526,1,0],[0,4513,4585,1,0],[1,4526,4566,1,0],[1,4566,4606,1,0],[0,4585,4657,1,0],[1,4606,4646,1,0],[0,4657,4729,1,0],[1,4704,4744,1,0],[0,4731,4803,1,0],[1,4750,4790,1,0],[1,4791,4831,1,0],[0,4803,4875,1,0],[1,4850,4890,1,0],[0,4875,4947,1,0],[1,4890,4930,1,0],[1,4930,4970,1,0],[0,4947,5019,1,0],[1,4970,5010,1,0],[0,5019,5091,1,0],[1,5032,5072,1,0],[0,5091,5163,1,0],[1,5100,5140,1,0],[1,5140,5172,1,0],[1,5206,5238,1,0],[0,5235,5307,1,0],[1,5238,5278,1,0],[0,5307,5379,1,0],[1,5310,5342,1,0],[1,5350,5390,1,0],[0,5379,5451,1,0],[1,5390,5430,1,0],[1,5430,5462,1,0],[0,5451,5523,1,0],[1,5462,5494,1,0],[1,5502,5542,1,0],[1,5542,5574,1,0],[1,5574,5614,1,0],[0,5595,5667,1,0],[1,5646,5678,1,0],[0,5667,5739,1,0],[1,5678,5710,1,0],[1,5710,5742,1,0],[0,5739,5811,1,0],[1,5742,5774,1,0],[1,5774,5806,1,0],[1,5806,5838,1,0],[0,5811,5883,1,0],[1,5838,5870,1,0],[1,5870,5902,1,0],[0,5883,5955,1,0],[1,5902,5934,1,0],[1,5934,5966,1,0],[0,5955,6027,1,0],[1,5966,5998,1,0],[1,5998,6030,1,0],[0,6027,6099,1,0],[1,6030,6062,1,0],[1,6062,6094,1,0],[1,6094,6126,1,0],[1,6126,6158,1,0],[1,6158,6190,1,0],[1,6190,6222,1,0],[0,6191,6263,1,0],[1,6222,6254,1,0],[1,6254,6286,1,0],[0,6263,6335,1,0],[1,6286,6318,1,0],[1,6318,6350,1,0],[0,6335,6407,1,0],[1,6350,6382,1,0],[1,6382,6414,1,0],[0,6407,6479,1,0],[1,6414,6446,1,0],[1,6446,6478,1,0],[1,6478,6510,1,0],[1,6510,6542,1,0],[1,6542,6574,1,0],[1,6574,6606,1,0],[1,6606,6638,1,0],[1,6638,6670,1,0],[1,6670,6702,1,0],[1,6702,6734,1,0],[1,6734,6766,1,0],[1,6766,6798,1,0],[1,6798,6830,1,0],[1,6830,6862,1,0],[1,6862,6894,1,0],[1,6894,6926,1,0],[1,6926,6958,1,0],[1,6958,6990,1,0],[1,6990,7022,1,0],[1,7022,7054,1,0],[1,7054,7086,1,0],[1,7086,7118,1,0],[1,7118,7150,1,0],[1,7150,7182,1,0],[1,7182,7214,1,0],[1,7214,7246,1,0],[1,7246,7278,1,0],[1,7278,7310,1,0],[1,7310,7342,1,0],[1,7342,7374,1,0],[1,7374,7406,1,0],[1,7406,7438,1,0],[1,7438,7470,1,0],[1,7470,7502,1,0],[1,7502,7534,1,0],[1,7534,7566,1,0],[1,7566,7598,1,0],[1,7598,7630,1,0],[1,7630,7662,1,0]],[[0,18,90,1,0],[1,69,141,1,0],[0,117,189,1,0],[1,156,228,1,0],[0,217,289,1,0],[1,228,300,1,0],[1,300,372,1,0],[0,329,401,1,0],[1,372,444,1,0],[0,401,473,1,0],[1,444,516,1,0],[0,481,553,1,0],[1,516,588,1,0],[0,553,625,1,0],[1,600,672,1,0],[0,657,729,1,0],[1,672,744,1,0],[1,744,816,1,0],[0,771,843,1,0],[1,816,888,1,0],[0,843,915,1,0],[1,888,960,1,0],[0,953,993,1,0],[1,960,1032,1,0],[0,993,1065,1,0],[1,1032,1104,1,0],[0,1065,1137,1,0],[1,1104,1176,1,0],[0,1137,1209,1,0],[1,1176,1248,1,0],[1,1248,1320,1,0],[0,1286,1358,1,0],[1,1320,1392,1,0],[0,1358,1430,1,0],[0,1430,1502,1,0],[1,1434,1506,1,0],[0,1502,1574,1,0],[1,1546,1618,1,0],[0,1577,1649,1,0],[1,1618,1690,1,0],[1,1690,1762,1,0],[0,1691,1763,1,0],[1,1762,1834,1,0],[0,1790,1862,1,0],[1,1834,1906,1,0],[0,1873,1945,1,0],[1,1906,1978,1,0],[0,1945,2017,1,0],[1,1978,2050,1,0],[0,2057,2129,1,0],[1,2098,2170,1,0],[0,2161,2233,1,0],[1,2170,2242,1,0],[0,2233,2305,1,0],[1,2282,2354,1,0],[0,2313,2385,1,0],[1,2354,2426,1,0],[0,2395,2467,1,0],[1,2426,2498,1,0],[1,2498,2570,1,0],[0,2499,2571,1,0],[1,2570,2642,1,0],[0,2609,2681,1,0],[1,2642,2714,1,0],[0,2681,2753,1,0],[0,2755,2827,1,0],[1,2762,2834,1,0],[0,2827,2899,1,0],[1,2834,2906,1,0],[1,2906,2978,1,0],[0,2907,2979,1,0],[1,2978,3050,1,0],[0,3009,3049,1,0],[1,3050,3122,1,0],[0,3051,3123,1,0],[0,3123,3195,1,0],[1,3164,3236,1,0],[0,3195,3267,1,0],[1,3236,3308,1,0],[0,3267,3339,1,0],[1,3308,3380,1,0],[0,3339,3411,1,0],[1,3380,3452,1,0],[0,3419,3459,1,0],[1,3452,3524,1,0],[0,3459,3499,1,0],[1,3524,3596,1,0],[0,3557,3629,1,0],[1,3596,3668,1,0],[0,3629,3701,1,0],[1,3668,3740,1,0],[0,3707,3747,1,0],[1,3754,3826,1,0],[0,3773,3845,1,0],[0,3845,3917,1,0],[1,3888,3960,1,0],[0,3917,3989,1,0],[1,3960,4032,1,0],[0,4029,4069,1,0],[1,4032,4104,1,0],[0,4069,4141,1,0],[1,4104,4176,1,0],[0,4141,4213,1,0],[1,4180,4252,1,0],[0,4247,4319,1,0],[1,4252,4324,1,0],[1,4326,4398,1,0],[0,4327,4367,1,0],[0,4367,4439,1,0],[1,4398,4470,1,0],[0,4439,4511,1,0],[1,4470,4542,1,0],[0,4535,4607,1,0],[1,4542,4614,1,0],[1,4614,4686,1,0],[0,4615,4655,1,0],[0,4655,4695,1,0],[1,4686,4758,1,0],[0,4713,4785,1,0],[1,4758,4830,1,0],[0,4785,4825,1,0],[0,4825,4897,1,0],[1,4830,4902,1,0],[0,4897,4937,1,0],[1,4902,4974,1,0],[0,4937,5009,1,0],[1,4974,5046,1,0],[0,5041,5081,1,0],[1,5046,5118,1,0],[0,5081,5153,1,0],[1,5118,5190,1,0],[0,5153,5225,1,0],[1,5190,5262,1,0],[0,5257,5297,1,0],[1,5262,5334,1,0],[0,5297,5369,1,0],[1,5334,5406,1,0],[0,5401,5441,1,0],[1,5406,5478,1,0],[0,5441,5513,1,0],[1,5478,5550,1,0],[0,5513,5553,1,0],[0,5585,5657,1,0],[1,5622,5694,1,0],[0,5657,5729,1,0],[1,5694,5766,1,0],[0,5729,5769,1,0],[1,5766,5838,1,0],[0,5793,5865,1,0],[1,5838,5910,1,0],[0,5873,5945,1,0],[1,5912,5984,1,0],[0,5945,6017,1,0],[1,5984,6056,1,0],[0,6017,6089,1,0],[1,6056,6128,1,0],[0,6089,6161,1,0],[1,6130,6202,1,0],[0,6161,6233,1,0],[1,6202,6274,1,0],[0,6487,6503,1,0],[0,6623,6639,1,0],[0,6703,6719,1,0],[0,6783,6799,1,0],[0,6863,6879,1,0],[0,6943,6959,1,0],[0,7023,7039,1,0],[0,7103,7119,1,0],[0,7183,7199,1,0],[0,7319,7335,1,0],[0,7399,7415,1,0],[0,7479,7495,1,0],[0,7559,7575,1,0],[0,7695,7711,1,0],[0,7775,7791,1,0],[0,7855,7871,1,0]],[[0,67,107,1,0],[1,107,179,1,0],[0,108,180,1,0],[1,179,251,1,0],[0,185,257,1,0],[1,251,323,1,0],[0,283,355,1,0],[1,363,435,1,0],[0,396,468,1,0],[1,436,508,1,0],[0,468,540,1,0],[0,545,617,1,0],[1,547,619,1,0],[1,619,691,1,0],[0,621,693,1,0],[1,691,763,1,0],[0,693,765,1,0],[0,765,837,1,0],[1,803,875,1,0],[1,875,947,1,0],[0,905,977,1,0],[1,987,1059,1,0],[0,988,1060,1,0],[1,1059,1131,1,0],[0,1060,1132,1,0],[1,1131,1203,1,0],[0,1132,1204,1,0],[0,1204,1276,1,0],[1,1243,1315,1,0],[1,1315,1387,1,0],[0,1347,1419,1,0],[1,1387,1459,1,0],[0,1459,1531,1,0],[1,1499,1571,1,0],[0,1531,1571,1,0],[1,1571,1643,1,0],[0,1572,1644,1,0],[1,1643,1715,1,0],[0,1675,1747,1,0],[0,1747,1819,1,0],[1,1755,1827,1,0],[1,1827,1899,1,0],[0,1859,1931,1,0],[1,1939,2011,1,0],[0,1963,2035,1,0],[1,2011,2083,1,0],[0,2035,2107,1,0],[1,2083,2155,1,0],[0,2115,2187,1,0],[1,2171,2243,1,0],[0,2187,2259,1,0],[1,2243,2315,1,0],[0,2299,2339,1,0],[1,2315,2387,1,0],[0,2339,2411,1,0],[1,2387,2459,1,0],[0,2411,2483,1,0],[1,2459,2531,1,0],[0,2500,2572,1,0],[1,2540,2612,1,0],[0,2595,2635,1,0],[1,2612,2684,1,0],[0,2644,2716,1,0],[1,2684,2756,1,0],[0,2716,2788,1,0],[1,2756,2828,1,0],[0,2788,2860,1,0],[1,2828,2900,1,0],[0,2891,2931,1,0],[1,2900,2972,1,0],[0,2931,2971,1,0],[1,2972,3044,1,0],[0,3004,3076,1,0],[1,3044,3116,1,0],[0,3076,3148,1,0],[1,3116,3188,1,0],[1,3188,3260,1,0],[0,3219,3291,1,0],[1,3260,3332,1,0],[0,3291,3363,1,0],[0,3363,3403,1,0],[1,3371,3443,1,0],[0,3403,3475,1,0],[1,3443,3515,1,0],[0,3475,3547,1,0],[1,3515,3587,1,0],[0,3547,3619,1,0],[1,3587,3659,1,0],[0,3619,3691,1,0],[1,3659,3731,1,0],[0,3691,3763,1,0],[1,3731,3803,1,0],[0,3766,3806,1,0],[1,3803,3875,1,0],[0,3809,3849,1,0],[0,3849,3921,1,0],[1,3875,3947,1,0],[1,3947,4019,1,0],[0,3949,3989,1,0],[0,3989,4061,1,0],[1,4019,4091,1,0],[0,4061,4133,1,0],[1,4091,4163,1,0],[0,4133,4205,1,0],[1,4172,4244,1,0],[0,4235,4307,1,0],[1,4244,4316,1,0],[1,4316,4388,1,0],[0,4331,4371,1,0],[0,4371,4411,1,0],[1,4388,4460,1,0],[0,4411,4483,1,0],[1,4460,4532,1,0],[0,4483,4555,1,0],[1,4532,4604,1,0],[0,4564,4636,1,0],[1,4604,4676,1,0],[0,4636,4708,1,0],[1,4692,4764,1,0],[0,4756,4796,1,0],[0,4796,4836,1,0],[1,4804,4876,1,0],[0,4836,4876,1,0],[1,4876,4948,1,0],[0,4877,4917,1,0],[0,4917,4989,1,0],[1,4948,5020,1,0],[0,4989,5061,1,0],[1,5020,5092,1,0],[0,5061,5133,1,0],[1,5092,5164,1,0],[0,5133,5205,1,0],[1,5164,5236,1,0],[0,5205,5277,1,0],[1,5236,5308,1,0],[0,5277,5349,1,0],[1,5308,5380,1,0],[1,5380,5452,1,0],[0,5421,5493,1,0],[1,5452,5524,1,0],[0,5493,5565,1,0],[1,5524,5596,1,0],[1,5596,5668,1,0],[0,5628,5644,1,0],[0,5644,5716,1,0],[1,5677,5749,1,0],[0,5716,5788,1,0],[1,5749,5821,1,0],[0,5788,5860,1,0],[1,5821,5893,1,0],[0,5865,5937,1,0],[1,5893,5965,1,0],[0,5939,6011,1,0],[1,5979,6051,1,0],[0,6011,6083,1,0],[1,6051,6123,1,0],[1,6123,6195,1,0],[0,6150,6222,1,0],[1,6195,6267,1,0],[0,6222,6294,1,0],[1,6267,6339,1,0],[0,6517,6533,1,0],[0,6621,6637,1,0],[0,6685,6701,1,0],[0,6765,6781,1,0],[0,6845,6861,1,0],[0,6981,6997,1,0],[0,7061,7077,1,0],[0,7141,7157,1,0],[0,7333,7349,1,0],[0,7413,7429,1,0],[0,7493,7509,1,0],[0,7573,7589,1,0],[0,7765,7781,1,0],[0,7845,7861,1,0],[0,7925,7941,1,0]],[[0,12,84,1,0],[1,69,141,1,0],[0,118,190,1,0],[1,200,272,1,0],[0,228,300,1,0],[1,272,344,1,0],[0,336,408,1,0],[1,344,416,1,0],[0,408,464,1,0],[0,464,536,1,0],[1,472,544,1,0],[1,544,616,1,0],[0,552,624,1,0],[0,632,704,1,0],[1,672,744,1,0],[0,706,778,1,0],[1,746,818,1,0],[0,778,850,1,0],[1,818,890,1,0],[0,904,976,1,0],[1,944,1016,1,0],[0,984,1056,1,0],[1,1024,1096,1,0],[0,1056,1128,1,0],[1,1096,1168,1,0],[0,1128,1200,1,0],[1,1168,1240,1,0],[0,1248,1320,1,0],[1,1288,1360,1,0],[0,1346,1418,1,0],[1,1360,1432,1,0],[0,1448,1520,1,0],[1,1488,1560,1,0],[0,1520,1592,1,0],[0,1592,1664,1,0],[1,1600,1672,1,0],[1,1672,1744,1,0],[0,1704,1760,1,0],[1,1744,1816,1,0],[0,1776,1832,1,0],[1,1816,1888,1,0],[0,1832,1904,1,0],[1,1888,1960,1,0],[0,1936,1992,1,0],[1,1960,2032,1,0],[0,1992,2048,1,0],[1,2032,2104,1,0],[0,2064,2136,1,0],[1,2104,2176,1,0],[0,2136,2208,1,0],[1,2176,2248,1,0],[0,2248,2304,1,0],[1,2304,2376,1,0],[0,2324,2396,1,0],[1,2376,2448,1,0],[0,2408,2480,1,0],[1,2448,2520,1,0],[0,2480,2552,1,0],[0,2552,2624,1,0],[1,2576,2648,1,0],[1,2648,2720,1,0],[0,2680,2752,1,0],[1,2720,2792,1,0],[0,2752,2824,1,0],[1,2792,2864,1,0],[0,2828,2900,1,0],[0,2908,2980,1,0],[1,2920,2992,1,0],[1,2992,3064,1,0],[0,2993,3049,1,0],[1,3066,3138,1,0],[0,3096,3168,1,0],[1,3138,3210,1,0],[0,3196,3268,1,0],[1,3210,3282,1,0],[0,3269,3325,1,0],[0,3325,3397,1,0],[1,3336,3408,1,0],[1,3408,3480,1,0],[0,3414,3486,1,0],[0,3486,3558,1,0],[1,3536,3608,1,0],[1,3608,3680,1,0],[0,3613,3685,1,0],[0,3685,3741,1,0],[1,3736,3808,1,0],[0,3741,3813,1,0],[1,3808,3880,1,0],[0,3824,3880,1,0],[0,3885,3957,1,0],[1,3936,4008,1,0],[0,3957,4029,1,0],[1,4013,4085,1,0],[0,4045,4117,1,0],[1,4085,4157,1,0],[0,4117,4189,1,0],[1,4157,4229,1,0],[0,4245,4317,1,0],[1,4280,4352,1,0],[0,4317,4389,1,0],[1,4357,4429,1,0],[0,4389,4461,1,0],[1,4429,4501,1,0],[0,4461,4533,1,0],[1,4501,4573,1,0],[0,4533,4605,1,0],[1,4589,4661,1,0],[0,4605,4677,1,0],[1,4712,4784,1,0],[0,4749,4821,1,0],[1,4787,4859,1,0],[0,4821,4893,1,0],[1,4869,4941,1,0],[0,4893,4965,1,0],[0,4965,5037,1,0],[1,5000,5072,1,0],[0,5037,5109,1,0],[1,5075,5147,1,0],[0,5109,5181,1,0],[1,5152,5224,1,0],[0,5181,5253,1,0],[1,5224,5296,1,0],[0,5253,5325,1,0],[1,5296,5368,1,0],[0,5325,5397,1,0],[1,5369,5441,1,0],[0,5432,5488,1,0],[1,5441,5513,1,0],[1,5513,5585,1,0],[0,5537,5609,1,0],[1,5585,5657,1,0],[0,5609,5665,1,0],[0,5665,5721,1,0],[1,5672,5744,1,0],[0,5721,5793,1,0],[1,5744,5816,1,0],[1,5816,5888,1,0],[0,5825,5897,1,0],[1,5888,5960,1,0],[0,5921,5977,1,0],[1,5960,6032,1,0],[0,6000,6056,1,0],[1,6034,6106,1,0],[0,6072,6128,1,0],[1,6106,6178,1,0],[0,6153,6225,1,0],[1,6178,6250,1,0],[0,6225,6297,1,0],[1,6250,6322,1,0],[1,6336,6408,1,0],[0,6354,6426,1,0],[1,6408,6480,1,0],[0,6441,6513,1,0],[1,6480,6552,1,0],[1,6552,6624,1,0],[0,6585,6657,1,0],[1,6624,6696,1,0],[0,6657,6729,1,0],[1,6696,6768,1,0],[1,6768,6840,1,0]],[[0,68,108,1,0],[1,109,181,1,0],[0,110,182,1,0],[1,181,253,1,0],[0,186,258,1,0],[1,253,325,1,0],[0,284,324,1,0],[1,325,397,1,0],[0,330,402,1,0],[1,437,509,1,0],[0,468,540,1,0],[1,509,581,1,0],[0,540,612,1,0],[1,621,693,1,0],[0,622,694,1,0],[1,693,765,1,0],[0,698,770,1,0],[1,765,837,1,0],[0,770,842,1,0],[0,842,914,1,0],[1,877,949,1,0],[0,914,986,1,0],[1,949,1021,1,0],[1,1021,1093,1,0],[0,1022,1094,1,0],[1,1093,1165,1,0],[0,1094,1166,1,0],[1,1165,1237,1,0],[0,1202,1274,1,0],[1,1237,1309,1,0],[0,1276,1348,1,0],[1,1357,1429,1,0],[0,1425,1497,1,0],[1,1463,1535,1,0],[0,1497,1569,1,0],[1,1535,1607,1,0],[0,1569,1641,1,0],[0,1644,1716,1,0],[1,1653,1725,1,0],[1,1727,1799,1,0],[0,1728,1800,1,0],[1,1799,1871,1,0],[0,1800,1872,1,0],[1,1909,1981,1,0],[0,1932,2004,1,0],[1,1981,2053,1,0],[0,2012,2084,1,0],[1,2071,2143,1,0],[0,2092,2164,1,0],[1,2143,2215,1,0],[0,2164,2204,1,0],[1,2215,2287,1,0],[0,2236,2308,1,0],[1,2287,2359,1,0],[0,2308,2380,1,0],[1,2359,2431,1,0],[0,2388,2428,1,0],[1,2431,2503,1,0],[0,2452,2524,1,0],[1,2503,2575,1,0],[0,2532,2604,1,0],[1,2575,2647,1,0],[0,2604,2676,1,0],[1,2647,2719,1,0],[0,2716,2756,1,0],[1,2719,2791,1,0],[0,2756,2828,1,0],[1,2791,2863,1,0],[0,2860,2932,1,0],[1,2901,2973,1,0],[0,2932,3004,1,0],[1,2973,3045,1,0],[0,3044,3116,1,0],[1,3085,3157,1,0],[0,3116,3188,1,0],[1,3161,3233,1,0],[0,3190,3262,1,0],[1,3233,3305,1,0],[0,3262,3334,1,0],[1,3305,3377,1,0],[0,3334,3374,1,0],[0,3374,3414,1,0],[1,3377,3449,1,0],[0,3414,3486,1,0],[1,3449,3521,1,0],[1,3521,3593,1,0],[0,3526,3566,1,0],[0,3566,3638,1,0],[1,3593,3665,1,0],[0,3638,3710,1,0],[1,3665,3737,1,0],[1,3737,3809,1,0],[0,3742,3782,1,0],[0,3782,3822,1,0],[1,3809,3881,1,0],[0,3840,3912,1,0],[1,3881,3953,1,0],[0,3914,3986,1,0],[1,3953,4025,1,0],[0,3986,4058,1,0],[1,4027,4099,1,0],[0,4096,4168,1,0],[1,4099,4171,1,0],[0,4170,4210,1,0],[1,4173,4245,1,0],[0,4210,4282,1,0],[1,4245,4317,1,0],[0,4314,4386,1,0],[1,4317,4389,1,0],[0,4386,4458,1,0],[1,4389,4461,1,0],[0,4458,4498,1,0],[1,4461,4533,1,0],[0,4498,4538,1,0],[1,4533,4605,1,0],[0,4564,4636,1,0],[1,4605,4677,1,0],[0,4636,4708,1,0],[1,4677,4749,1,0],[0,4712,4784,1,0],[1,4749,4821,1,0],[0,4784,4856,1,0],[1,4821,4893,1,0],[0,4856,4928,1,0],[1,4893,4965,1,0],[0,4928,5000,1,0],[1,4965,5037,1,0],[1,5045,5117,1,0],[0,5046,5118,1,0],[1,5117,5189,1,0],[0,5118,5190,1,0],[1,5189,5261,1,0],[0,5190,5262,1,0],[1,5261,5333,1,0],[0,5288,5360,1,0],[1,5333,5405,1,0],[0,5360,5432,1,0],[1,5405,5477,1,0],[0,5432,5504,1,0],[1,5477,5549,1,0],[1,5549,5621,1,0],[0,5580,5652,1,0],[1,5621,5693,1,0],[0,5652,5692,1,0],[1,5693,5765,1,0],[0,5694,5766,1,0],[1,5765,5837,1,0],[0,5766,5838,1,0],[1,5837,5909,1,0],[0,5838,5910,1,0],[1,5909,5981,1,0],[0,5910,5982,1,0],[1,5981,6053,1,0],[0,5990,6030,1,0],[1,6053,6125,1,0],[0,6062,6102,1,0],[1,6125,6197,1,0],[1,6197,6269,1,0],[0,6202,6274,1,0],[0,6292,6364,1,0],[0,6514,6530,1,0],[0,6650,6666,1,0],[0,6730,6746,1,0],[0,6810,6826,1,0],[0,6890,6906,1,0],[0,6970,6986,1,0],[0,7050,7066,1,0],[0,7130,7146,1,0],[0,7210,7226,1,0],[0,7346,7362,1,0],[0,7426,7442,1,0],[0,7506,7522,1,0],[0,7586,7602,1,0],[0,7722,7738,1,0],[0,7802,7818,1,0],[0,7882,7898,1,0]],[[0,18,90,1,0],[1,69,141,1,0],[0,117,189,1,0],[1,202,274,1,0],[0,234,306,1,0],[1,274,346,1,0],[0,335,407,1,0],[1,346,418,1,0],[0,407,463,1,0],[0,463,535,1,0],[1,474,546,1,0],[1,546,618,1,0],[0,551,623,1,0],[0,623,695,1,0],[1,674,746,1,0],[1,746,818,1,0],[0,747,819,1,0],[1,820,892,1,0],[0,821,893,1,0],[0,905,961,1,0],[1,946,1018,1,0],[0,961,1033,1,0],[1,1018,1090,1,0],[0,1033,1105,1,0],[1,1090,1162,1,0],[0,1127,1199,1,0],[1,1162,1234,1,0],[0,1233,1289,1,0],[1,1290,1362,1,0],[0,1305,1377,1,0],[1,1392,1464,1,0],[0,1393,1465,1,0],[1,1464,1536,1,0],[0,1465,1537,1,0],[1,1552,1624,1,0],[0,1593,1665,1,0],[1,1624,1696,1,0],[0,1665,1737,1,0],[1,1696,1768,1,0],[0,1737,1809,1,0],[1,1768,1840,1,0],[0,1809,1881,1,0],[1,1840,1912,1,0],[1,1936,2008,1,0],[0,1937,2009,1,0],[1,2008,2080,1,0],[0,2009,2081,1,0],[1,2080,2152,1,0],[0,2081,2153,1,0],[1,2152,2224,1,0],[0,2153,2225,1,0],[1,2224,2296,1,0],[0,2281,2353,1,0],[1,2296,2368,1,0],[0,2353,2425,1,0],[1,2368,2440,1,0],[0,2425,2497,1,0],[1,2440,2512,1,0],[1,2512,2584,1,0],[0,2532,2604,1,0],[1,2584,2656,1,0],[0,2625,2697,1,0],[1,2656,2728,1,0],[0,2697,2769,1,0],[1,2728,2800,1,0],[0,2794,2850,1,0],[1,2841,2913,1,0],[0,2850,2922,1,0],[1,2913,2985,1,0],[0,2953,3009,1,0],[1,2985,3057,1,0],[0,3025,3097,1,0],[1,3057,3129,1,0],[0,3097,3169,1,0],[1,3129,3201,1,0],[0,3180,3252,1,0],[1,3201,3273,1,0],[1,3273,3345,1,0],[0,3288,3344,1,0],[0,3344,3400,1,0],[1,3345,3417,1,0],[1,3417,3489,1,0],[0,3441,3513,1,0],[1,3497,3569,1,0],[0,3513,3585,1,0],[1,3569,3641,1,0],[0,3585,3657,1,0],[1,3641,3713,1,0],[0,3657,3729,1,0],[1,3713,3785,1,0],[1,3785,3857,1,0],[0,3786,3858,1,0],[1,3857,3929,1,0],[0,3858,3930,1,0],[1,3929,4001,1,0],[0,3938,4010,1,0],[1,4001,4073,1,0],[0,4025,4081,1,0],[1,4073,4145,1,0],[0,4081,4153,1,0],[1,4151,4223,1,0],[0,4185,4241,1,0],[1,4223,4295,1,0],[0,4252,4324,1,0],[1,4295,4367,1,0],[0,4329,4401,1,0],[1,4367,4439,1,0],[0,4401,4473,1,0],[1,4440,4512,1,0],[0,4498,4570,1,0],[1,4570,4642,1,0],[0,4601,4673,1,0],[1,4642,4714,1,0],[0,4673,4745,1,0],[1,4714,4786,1,0],[0,4745,4817,1,0],[1,4786,4858,1,0],[1,4867,4939,1,0],[0,4873,4929,1,0],[0,4929,5001,1,0],[1,5002,5074,1,0],[0,5033,5105,1,0],[1,5074,5146,1,0],[0,5105,5161,1,0],[1,5146,5218,1,0],[0,5161,5217,1,0],[1,5218,5290,1,0],[0,5219,5291,1,0],[1,5316,5388,1,0],[0,5321,5393,1,0],[0,5393,5465,1,0],[1,5434,5506,1,0],[0,5465,5537,1,0],[1,5506,5578,1,0],[0,5537,5609,1,0],[0,5609,5681,1,0],[1,5620,5692,1,0],[0,5683,5755,1,0],[1,5724,5796,1,0],[0,5755,5827,1,0],[1,5796,5868,1,0],[0,5827,5899,1,0],[1,5868,5940,1,0],[0,5939,5995,1,0],[0,5995,6051,1,0],[1,6012,6084,1,0],[0,6051,6107,1,0],[1,6084,6156,1,0],[1,6156,6228,1,0],[0,6171,6227,1,0],[0,6227,6299,1,0],[1,6300,6372,1,0],[0,6329,6401,1,0],[1,6372,6444,1,0],[0,6401,6473,1,0],[1,6444,6516,1,0],[0,6473,6545,1,0],[1,6516,6588,1,0],[1,6588,6660,1,0],[0,6617,6689,1,0]],[[0,79,151,1,0],[1,123,195,1,0],[0,151,223,1,0],[1,195,267,1,0],[0,259,331,1,0],[1,323,395,1,0],[0,332,404,1,0],[1,395,467,1,0],[0,404,476,1,0],[1,467,539,1,0],[0,499,571,1,0],[1,595,667,1,0],[0,603,675,1,0],[1,667,739,1,0],[0,683,739,1,0],[1,739,811,1,0],[0,763,835,1,0],[0,835,907,1,0],[1,867,939,1,0],[0,907,979,1,0],[1,939,1011,1,0],[0,979,1051,1,0],[1,1011,1083,1,0],[0,1083,1155,1,0],[1,1139,1211,1,0],[0,1167,1223,1,0],[1,1215,1287,1,0],[0,1227,1299,1,0],[1,1287,1359,1,0],[0,1315,1387,1,0],[0,1391,1463,1,0],[1,1411,1483,1,0],[1,1483,1555,1,0],[0,1503,1575,1,0],[1,1555,1627,1,0],[0,1587,1659,1,0],[0,1659,1731,1,0],[1,1683,1755,1,0],[1,1755,1827,1,0],[0,1771,1843,1,0],[1,1827,1899,1,0],[0,1859,1931,1,0],[0,1931,2003,1,0],[1,1955,2027,1,0],[1,2027,2099,1,0],[0,2043,2115,1,0],[1,2099,2171,1,0],[0,2131,2203,1,0],[0,2203,2275,1,0],[1,2227,2299,1,0],[1,2299,2371,1,0],[0,2300,2356,1,0],[1,2371,2443,1,0],[0,2391,2463,1,0],[0,2463,2535,1,0],[1,2499,2571,1,0],[0,2535,2607,1,0],[1,2571,2643,1,0],[0,2607,2679,1,0],[1,2643,2715,1,0],[0,2679,2751,1,0],[1,2715,2787,1,0],[0,2819,2891,1,0],[1,2843,2915,1,0],[0,2895,2967,1,0],[1,2917,2989,1,0],[0,2975,3047,1,0],[1,2989,3061,1,0],[0,3047,3119,1,0],[1,3061,3133,1,0],[0,3147,3203,1,0],[1,3187,3259,1,0],[0,3203,3259,1,0],[1,3259,3331,1,0],[0,3264,3336,1,0],[1,3331,3403,1,0],[0,3363,3435,1,0],[1,3459,3531,1,0],[0,3464,3536,1,0],[1,3531,3603,1,0],[0,3553,3625,1,0],[0,3625,3697,1,0],[1,3659,3731,1,0],[0,3697,3769,1,0],[1,3731,3803,1,0],[0,3808,3880,1,0],[1,3859,3931,1,0],[0,3896,3968,1,0],[1,3936,4008,1,0],[0,3968,4040,1,0],[1,4008,4080,1,0],[0,4040,4112,1,0],[1,4131,4203,1,0],[0,4168,4240,1,0],[1,4208,4280,1,0],[0,4240,4312,1,0],[1,4280,4352,1,0],[0,4312,4384,1,0],[1,4352,4424,1,0],[0,4384,4456,1,0],[1,4424,4496,1,0],[0,4456,4528,1,0],[1,4496,4568,1,0],[0,4528,4600,1,0],[1,4568,4640,1,0],[1,4640,4712,1,0],[0,4656,4712,1,0],[1,4712,4784,1,0],[0,4712,4784,1,0],[1,4784,4856,1,0],[0,4811,4883,1,0],[1,4856,4928,1,0],[0,4883,4939,1,0],[1,4928,5000,1,0],[0,4955,5027,1,0],[1,5000,5072,1,0],[0,5027,5099,1,0],[1,5072,5144,1,0],[0,5099,5171,1,0],[1,5144,5216,1,0],[0,5171,5227,1,0],[1,5216,5288,1,0],[0,5251,5323,1,0],[1,5323,5395,1,0],[0,5324,5396,1,0],[1,5395,5467,1,0],[0,5396,5468,1,0],[1,5467,5539,1,0],[0,5499,5555,1,0],[1,5539,5611,1,0],[0,5555,5627,1,0],[1,5611,5683,1,0],[0,5627,5699,1,0],[1,5683,5755,1,0],[0,5700,5772,1,0],[1,5756,5828,1,0],[0,5804,5860,1,0],[1,5828,5900,1,0],[0,5860,5916,1,0],[1,5900,5972,1,0],[0,5916,5988,1,0],[1,5972,6044,1,0],[1,6044,6116,1,0],[0,6061,6133,1,0],[1,6116,6188,1,0],[0,6133,6205,1,0],[1,6188,6260,1,0],[0,6235,6291,1,0],[1,6260,6332,1,0],[0,6291,6363,1,0],[1,6332,6404,1,0],[1,6404,6476,1,0],[0,6419,6475,1,0],[1,6476,6548,1,0],[1,6548,6620,1,0],[0,6572,6628,1,0],[1,6620,6692,1,0],[1,6692,6764,1,0],[0,6844,6900,1,0],[0,7212,7268,1,0]],[[0,12,84,1,0],[1,69,141,1,0],[0,121,193,1,0],[1,141,213,1,0],[1,230,302,1,0],[0,265,337,1,0],[1,302,374,1,0],[1,374,446,1,0],[0,409,481,1,0],[1,446,518,1,0],[1,518,590,1,0],[0,553,625,1,0],[1,590,662,1,0],[1,662,734,1,0],[0,696,768,1,0],[1,734,806,1,0],[0,769,841,1,0],[1,806,878,1,0],[1,878,950,1,0],[0,912,984,1,0],[1,950,1022,1,0],[0,985,1057,1,0],[1,1022,1094,1,0],[0,1076,1132,1,0],[1,1096,1168,1,0],[0,1132,1204,1,0],[1,1168,1240,1,0],[1,1240,1312,1,0],[0,1276,1348,1,0],[1,1312,1384,1,0],[1,1384,1456,1,0],[0,1416,1488,1,0],[1,1456,1528,1,0],[0,1492,1564,1,0],[1,1528,1600,1,0],[1,1600,1672,1,0],[0,1632,1704,1,0],[1,1672,1744,1,0],[0,1713,1785,1,0],[1,1744,1816,1,0],[1,1816,1888,1,0],[0,1817,1889,1,0],[1,1888,1960,1,0],[0,1889,1961,1,0],[1,1962,2034,1,0],[0,2033,2105,1,0],[1,2034,2106,1,0],[1,2106,2178,1,0],[0,2107,2179,1,0],[1,2188,2260,1,0],[0,2217,2289,1,0],[1,2260,2332,1,0],[0,2289,2361,1,0],[1,2332,2404,1,0],[0,2395,2467,1,0],[1,2404,2476,1,0],[1,2476,2548,1,0],[0,2489,2561,1,0],[1,2548,2620,1,0],[0,2561,2633,1,0],[1,2657,2729,1,0],[0,2676,2732,1,0],[0,2734,2790,1,0],[1,2801,2873,1,0],[0,2831,2903,1,0],[1,2873,2945,1,0],[0,2905,2977,1,0],[1,3017,3089,1,0],[0,3024,3096,1,0],[0,3119,3191,1,0],[1,3161,3233,1,0],[0,3220,3276,1,0],[0,3276,3348,1,0],[1,3305,3377,1,0],[0,3384,3456,1,0],[1,3449,3521,1,0],[0,3494,3566,1,0],[1,3521,3593,1,0],[1,3593,3665,1,0],[0,3600,3672,1,0],[1,3665,3737,1,0],[0,3672,3744,1,0],[1,3737,3809,1,0],[0,3744,3816,1,0],[0,3825,3897,1,0],[1,3829,3901,1,0],[0,3897,3969,1,0],[1,3901,3973,1,0],[0,3969,4041,1,0],[1,3993,4065,1,0],[0,4041,4113,1,0],[1,4065,4137,1,0],[1,4137,4209,1,0],[0,4169,4241,1,0],[1,4209,4281,1,0],[0,4241,4297,1,0],[1,4281,4353,1,0],[0,4297,4353,1,0],[1,4353,4425,1,0],[0,4354,4426,1,0],[1,4425,4497,1,0],[0,4426,4498,1,0],[1,4497,4569,1,0],[0,4498,4554,1,0],[0,4554,4610,1,0],[1,4569,4641,1,0],[0,4610,4682,1,0],[1,4641,4713,1,0],[0,4682,4754,1,0],[1,4713,4785,1,0],[0,4754,4826,1,0],[1,4785,4857,1,0],[0,4826,4898,1,0],[1,4881,4953,1,0],[0,4898,4970,1,0],[1,4971,5043,1,0],[0,5009,5065,1,0],[1,5043,5115,1,0],[0,5065,5137,1,0],[1,5115,5187,1,0],[0,5137,5209,1,0],[1,5187,5259,1,0],[0,5211,5283,1,0],[1,5259,5331,1,0],[0,5312,5368,1,0],[0,5368,5440,1,0],[1,5394,5466,1,0],[0,5440,5512,1,0],[1,5466,5538,1,0],[0,5512,5584,1,0],[1,5538,5610,1,0],[1,5610,5682,1,0],[0,5611,5667,1,0],[0,5667,5739,1,0],[1,5682,5754,1,0],[0,5739,5811,1,0],[1,5763,5835,1,0],[0,5811,5883,1,0],[1,5835,5907,1,0],[1,5907,5979,1,0],[0,5933,5989,1,0],[1,5979,6051,1,0],[0,5989,6061,1,0],[1,6051,6123,1,0],[0,6061,6133,1,0],[1,6123,6195,1,0],[0,6144,6216,1,0],[1,6195,6267,1,0],[0,6216,6288,1,0],[1,6267,6339,1,0],[0,6288,6360,1,0],[0,6360,6432,1,0],[1,6389,6461,1,0],[0,6565,6637,1,0],[0,6637,6709,1,0],[0,6781,6853,1,0],[0,7131,7187,1,0],[0,7259,7315,1,0],[0,7444,7500,1,0],[0,7612,7668,1,0]],[[0,85,157,1,0],[1,125,197,1,0],[0,157,229,1,0],[1,197,269,1,0],[0,258,330,1,0],[1,325,397,1,0],[0,333,405,1,0],[1,397,469,1,0],[0,405,477,1,0],[1,499,571,1,0],[0,500,572,1,0],[1,572,644,1,0],[0,612,668,1,0],[1,644,716,1,0],[0,668,740,1,0],[1,741,813,1,0],[0,762,834,1,0],[0,834,906,1,0],[1,869,941,1,0],[0,906,978,1,0],[1,941,1013,1,0],[0,978,1050,1,0],[1,1013,1085,1,0],[0,1050,1122,1,0],[1,1085,1157,1,0],[0,1172,1244,1,0],[1,1213,1285,1,0],[0,1244,1316,1,0],[1,1285,1357,1,0],[1,1357,1429,1,0],[0,1372,1444,1,0],[1,1429,1501,1,0],[0,1444,1516,1,0],[0,1516,1588,1,0],[1,1557,1629,1,0],[0,1588,1660,1,0],[1,1629,1701,1,0],[1,1701,1773,1,0],[0,1716,1772,1,0],[0,1788,1860,1,0],[1,1829,1901,1,0],[0,1860,1932,1,0],[1,1901,1973,1,0],[0,1932,2004,1,0],[1,1973,2045,1,0],[0,2034,2106,1,0],[1,2047,2119,1,0],[0,2117,2173,1,0],[1,2173,2245,1,0],[0,2178,2250,1,0],[1,2245,2317,1,0],[0,2250,2322,1,0],[1,2317,2389,1,0],[0,2348,2420,1,0],[1,2445,2517,1,0],[0,2455,2527,1,0],[1,2517,2589,1,0],[0,2538,2610,1,0],[1,2589,2661,1,0],[0,2610,2682,1,0],[0,2682,2754,1,0],[1,2717,2789,1,0],[1,2789,2861,1,0],[0,2815,2887,1,0],[1,2861,2933,1,0],[0,2892,2964,1,0],[1,2989,3061,1,0],[0,2990,3062,1,0],[1,3061,3133,1,0],[0,3083,3155,1,0],[1,3133,3205,1,0],[0,3164,3236,1,0],[0,3236,3308,1,0],[1,3261,3333,1,0],[0,3319,3391,1,0],[1,3333,3405,1,0],[0,3395,3451,1,0],[1,3405,3477,1,0],[0,3451,3523,1,0],[1,3477,3549,1,0],[1,3551,3623,1,0],[0,3564,3620,1,0],[0,3636,3708,1,0],[1,3677,3749,1,0],[0,3732,3788,1,0],[1,3784,3856,1,0],[0,3789,3861,1,0],[1,3856,3928,1,0],[0,3883,3955,1,0],[1,3928,4000,1,0],[0,3955,4027,1,0],[1,4000,4072,1,0],[0,4052,4124,1,0],[1,4072,4144,1,0],[0,4124,4196,1,0],[1,4144,4216,1,0],[1,4216,4288,1,0],[0,4236,4292,1,0],[1,4288,4360,1,0],[0,4293,4349,1,0],[0,4349,4421,1,0],[1,4360,4432,1,0],[1,4432,4504,1,0],[0,4452,4508,1,0],[1,4504,4576,1,0],[0,4509,4565,1,0],[0,4565,4621,1,0],[1,4581,4653,1,0],[0,4637,4709,1,0],[1,4709,4781,1,0],[0,4740,4812,1,0],[1,4781,4853,1,0],[0,4812,4868,1,0],[1,4853,4925,1,0],[0,4884,4956,1,0],[1,4925,4997,1,0],[0,4956,5028,1,0],[1,4997,5069,1,0],[0,5028,5100,1,0],[1,5087,5159,1,0],[0,5100,5172,1,0],[1,5213,5285,1,0],[0,5214,5270,1,0],[0,5270,5342,1,0],[1,5285,5357,1,0],[1,5357,5429,1,0],[0,5390,5462,1,0],[1,5429,5501,1,0],[0,5462,5518,1,0],[1,5501,5573,1,0],[0,5518,5574,1,0],[1,5573,5645,1,0],[0,5574,5646,1,0],[1,5645,5717,1,0],[0,5646,5718,1,0],[1,5717,5789,1,0],[0,5718,5774,1,0],[1,5789,5861,1,0],[0,5822,5894,1,0],[1,5861,5933,1,0],[0,5894,5966,1,0],[1,5933,6005,1,0],[0,5966,6038,1,0],[1,6005,6077,1,0],[0,6038,6110,1,0],[1,6077,6149,1,0],[0,6110,6182,1,0],[1,6149,6221,1,0],[1,6221,6293,1,0],[0,6254,6326,1,0],[1,6293,6365,1,0],[0,6326,6398,1,0],[1,6365,6437,1,0],[0,6423,6495,1,0],[1,6437,6509,1,0],[1,6509,6581,1,0],[0,6567,6639,1,0],[1,6581,6653,1,0],[1,6653,6725,1,0],[0,6711,6783,1,0]],[[0,18,90,1,0],[1,69,141,1,0],[0,122,194,1,0],[1,141,213,1,0],[1,230,302,1,0],[0,266,338,1,0],[1,302,374,1,0],[1,374,446,1,0],[0,410,482,1,0],[1,446,518,1,0],[1,518,590,1,0],[0,554,626,1,0],[1,590,662,1,0],[1,663,735,1,0],[0,680,752,1,0],[1,735,807,1,0],[0,770,842,1,0],[1,867,939,1,0],[0,896,968,1,0],[1,1011,1083,1,0],[0,1038,1110,1,0],[0,1130,1202,1,0],[1,1155,1227,1,0],[0,1254,1326,1,0],[1,1299,1371,1,0],[0,1328,1400,1,0],[1,1443,1515,1,0],[0,1470,1542,1,0],[0,1544,1616,1,0],[1,1587,1659,1,0],[0,1634,1706,1,0],[1,1731,1803,1,0],[0,1758,1830,1,0],[0,1832,1904,1,0],[1,1875,1947,1,0],[0,1922,1994,1,0],[1,2019,2091,1,0],[0,2046,2118,1,0],[0,2138,2210,1,0],[1,2163,2235,1,0],[0,2264,2336,1,0],[1,2307,2379,1,0],[0,2336,2408,1,0],[0,2446,2502,1,0],[1,2451,2523,1,0],[0,2502,2574,1,0],[1,2595,2667,1,0],[0,2624,2696,1,0],[1,2667,2739,1,0],[0,2703,2775,1,0],[1,2739,2811,1,0],[0,2790,2862,1,0],[1,2867,2939,1,0],[0,2896,2968,1,0],[0,2968,3040,1,0],[1,3011,3083,1,0],[0,3074,3130,1,0],[1,3155,3227,1,0],[0,3182,3254,1,0],[1,3227,3299,1,0],[0,3256,3312,1,0],[1,3299,3371,1,0],[0,3326,3398,1,0],[1,3371,3443,1,0],[0,3402,3474,1,0],[1,3443,3515,1,0],[0,3474,3546,1,0],[1,3515,3587,1,0],[0,3584,3656,1,0],[1,3587,3659,1,0],[1,3659,3731,1,0],[0,3690,3762,1,0],[1,3731,3803,1,0],[0,3762,3834,1,0],[1,3803,3875,1,0],[0,3854,3926,1,0],[1,3875,3947,1,0],[0,3926,3998,1,0],[1,3947,4019,1,0],[0,4016,4088,1,0],[1,4019,4091,1,0],[0,4088,4160,1,0],[1,4091,4163,1,0],[0,4160,4232,1,0],[1,4163,4235,1,0],[0,4232,4304,1,0],[1,4257,4329,1,0],[0,4304,4376,1,0],[1,4329,4401,1,0],[0,4384,4456,1,0],[1,4402,4474,1,0],[0,4456,4528,1,0],[1,4474,4546,1,0],[0,4528,4600,1,0],[1,4546,4618,1,0],[0,4600,4672,1,0],[1,4618,4690,1,0],[0,4672,4744,1,0],[1,4690,4762,1,0],[0,4744,4816,1,0],[1,4762,4834,1,0],[1,4834,4906,1,0],[0,4864,4920,1,0],[1,4908,4980,1,0],[0,4938,5010,1,0],[1,4980,5052,1,0],[0,5010,5082,1,0],[1,5052,5124,1,0],[0,5104,5176,1,0],[1,5124,5196,1,0],[0,5176,5248,1,0],[1,5196,5268,1,0],[0,5248,5320,1,0],[1,5268,5340,1,0],[0,5320,5392,1,0],[1,5340,5412,1,0],[0,5392,5464,1,0],[1,5412,5484,1,0],[0,5488,5544,1,0],[1,5529,5601,1,0],[0,5560,5616,1,0],[0,5616,5672,1,0],[1,5619,5691,1,0],[1,5691,5763,1,0],[0,5712,5768,1,0],[1,5763,5835,1,0],[0,5768,5824,1,0],[0,5824,5880,1,0],[1,5835,5907,1,0],[0,5880,5936,1,0],[1,5907,5979,1,0],[1,5979,6051,1,0],[0,5994,6050,1,0],[1,6051,6123,1,0],[0,6066,6122,1,0],[0,6122,6194,1,0],[1,6124,6196,1,0],[0,6194,6250,1,0],[1,6196,6268,1,0],[0,6266,6338,1,0],[1,6268,6340,1,0],[0,6338,6410,1,0],[1,6340,6412,1,0],[0,6410,6482,1,0],[1,6451,6523,1,0],[1,6555,6627,1,0],[0,6594,6650,1,0],[1,6627,6699,1,0],[1,6699,6771,1,0],[0,6700,6772,1,0],[1,6771,6843,1,0],[1,6843,6915,1,0],[0,6844,6916,1,0],[1,6915,6987,1,0],[0,6916,6988,1,0],[1,6987,7059,1,0],[0,6988,7060,1,0],[1,7059,7131,1,0],[0,7060,7132,1,0],[0,7660,7716,1,0]],[[1,69,141,1,0],[0,96,168,1,0],[1,141,213,1,0],[0,188,260,1,0],[1,213,285,1,0],[1,297,369,1,0],[0,332,404,1,0],[1,369,441,1,0],[1,441,513,1,0],[0,476,548,1,0],[1,515,587,1,0],[1,587,659,1,0],[0,617,689,1,0],[1,659,731,1,0],[0,689,761,1,0],[1,731,803,1,0],[1,803,875,1,0],[0,833,905,1,0],[1,875,947,1,0],[0,905,977,1,0],[1,947,1019,1,0],[0,977,1049,1,0],[1,1019,1091,1,0],[1,1091,1163,1,0],[0,1127,1183,1,0],[1,1163,1235,1,0],[0,1195,1267,1,0],[1,1235,1307,1,0],[0,1267,1339,1,0],[1,1307,1379,1,0],[1,1379,1451,1,0],[0,1411,1483,1,0],[1,1451,1523,1,0],[1,1523,1595,1,0],[0,1524,1580,1,0],[0,1580,1636,1,0],[1,1595,1667,1,0],[0,1636,1708,1,0],[1,1667,1739,1,0],[1,1741,1813,1,0],[0,1771,1843,1,0],[1,1813,1885,1,0],[0,1843,1915,1,0],[1,1885,1957,1,0],[0,1940,2012,1,0],[1,1957,2029,1,0],[1,2029,2101,1,0],[0,2061,2133,1,0],[1,2101,2173,1,0],[1,2173,2245,1,0],[0,2174,2246,1,0],[1,2245,2317,1,0],[0,2246,2318,1,0],[0,2359,2431,1,0],[1,2378,2450,1,0],[0,2431,2503,1,0],[1,2450,2522,1,0],[0,2536,2592,1,0],[1,2578,2650,1,0],[0,2606,2678,1,0],[1,2650,2722,1,0],[0,2678,2750,1,0],[1,2722,2794,1,0],[1,2794,2866,1,0],[0,2817,2873,1,0],[1,2866,2938,1,0],[0,2873,2945,1,0],[1,2938,3010,1,0],[0,2972,3044,1,0],[1,3010,3082,1,0],[1,3082,3154,1,0],[0,3087,3143,1,0],[1,3154,3226,1,0],[0,3163,3235,1,0],[1,3226,3298,1,0],[0,3271,3343,1,0],[1,3311,3383,1,0],[0,3343,3415,1,0],[1,3383,3455,1,0],[1,3455,3527,1,0],[0,3476,3548,1,0],[0,3548,3620,1,0],[1,3586,3658,1,0],[0,3620,3692,1,0],[1,3714,3786,1,0],[0,3728,3784,1,0],[0,3784,3856,1,0],[1,3786,3858,1,0],[0,3856,3928,1,0],[1,3858,3930,1,0],[1,3930,4002,1,0],[0,3948,4020,1,0],[1,4002,4074,1,0],[0,4020,4092,1,0],[1,4074,4146,1,0],[0,4092,4164,1,0],[1,4147,4219,1,0],[0,4175,4231,1,0],[1,4219,4291,1,0],[0,4236,4308,1,0],[1,4291,4363,1,0],[0,4308,4380,1,0],[0,4380,4452,1,0],[1,4389,4461,1,0],[0,4452,4524,1,0],[1,4461,4533,1,0],[0,4524,4596,1,0],[1,4562,4634,1,0],[0,4605,4661,1,0],[1,4645,4717,1,0],[0,4676,4748,1,0],[1,4717,4789,1,0],[0,4748,4820,1,0],[1,4789,4861,1,0],[0,4820,4892,1,0],[1,4861,4933,1,0],[0,4892,4948,1,0],[1,4933,5005,1,0],[0,4948,5020,1,0],[0,5020,5092,1,0],[1,5046,5118,1,0],[0,5132,5188,1,0],[1,5174,5246,1,0],[0,5188,5244,1,0],[0,5244,5316,1,0],[1,5246,5318,1,0],[1,5318,5390,1,0],[0,5348,5420,1,0],[1,5403,5475,1,0],[0,5420,5476,1,0],[1,5475,5547,1,0],[0,5476,5548,1,0],[0,5579,5651,1,0],[1,5606,5678,1,0],[0,5651,5723,1,0],[1,5702,5774,1,0],[0,5723,5779,1,0],[1,5774,5846,1,0],[0,5779,5851,1,0],[1,5846,5918,1,0],[0,5851,5923,1,0],[1,5918,5990,1,0],[0,5923,5995,1,0],[1,5990,6062,1,0],[0,5995,6067,1,0],[1,6062,6134,1,0],[0,6067,6139,1,0],[1,6134,6206,1,0],[0,6200,6272,1,0],[1,6262,6334,1,0],[0,6272,6328,1,0],[1,6334,6406,1,0],[0,6344,6416,1,0],[0,6427,6499,1,0],[0,6571,6643,1,0],[0,6715,6787,1,0],[0,6848,6920,1,0],[0,6920,6992,1,0],[0,6992,7064,1,0],[0,7663,7719,1,0]],[[0,54,94,1,0],[0,94,166,1,0],[1,145,217,1,0],[0,166,238,1,0],[0,238,310,1,0],[1,293,365,1,0],[0,310,382,1,0],[0,382,454,1,0],[1,437,509,1,0],[0,454,526,1,0],[0,526,598,1,0],[1,558,630,1,0],[0,598,670,1,0],[1,652,724,1,0],[0,670,742,1,0],[1,782,854,1,0],[0,789,829,1,0],[0,829,901,1,0],[1,903,975,1,0],[0,926,998,1,0],[1,975,1047,1,0],[0,1005,1077,1,0],[0,1098,1170,1,0],[1,1119,1191,1,0],[0,1170,1242,1,0],[0,1242,1314,1,0],[1,1263,1335,1,0],[0,1336,1352,1,0],[0,1374,1446,1,0],[1,1407,1479,1,0],[0,1498,1570,1,0],[1,1551,1623,1,0],[0,1589,1661,1,0],[1,1625,1697,1,0],[1,1697,1769,1,0],[0,1727,1767,1,0],[1,1769,1841,1,0],[0,1796,1868,1,0],[1,1911,1983,1,0],[0,1927,1967,1,0],[0,1998,2070,1,0],[1,2038,2110,1,0],[0,2084,2156,1,0],[0,2156,2228,1,0],[1,2166,2238,1,0],[0,2228,2300,1,0],[1,2287,2359,1,0],[0,2318,2334,1,0],[1,2359,2431,1,0],[0,2372,2444,1,0],[1,2431,2503,1,0],[0,2444,2516,1,0],[1,2503,2575,1,0],[0,2535,2575,1,0],[1,2575,2647,1,0],[0,2605,2677,1,0],[1,2647,2719,1,0],[0,2679,2751,1,0],[1,2719,2791,1,0],[0,2751,2823,1,0],[1,2791,2863,1,0],[0,2838,2854,1,0],[0,2854,2926,1,0],[1,2863,2935,1,0],[0,2965,3037,1,0],[1,2990,3062,1,0],[1,3062,3134,1,0],[0,3070,3142,1,0],[0,3142,3214,1,0],[1,3174,3246,1,0],[0,3222,3238,1,0],[1,3246,3318,1,0],[0,3286,3358,1,0],[1,3318,3390,1,0],[0,3358,3430,1,0],[1,3390,3462,1,0],[0,3438,3510,1,0],[1,3518,3590,1,0],[0,3566,3582,1,0],[0,3582,3654,1,0],[1,3590,3662,1,0],[1,3663,3735,1,0],[0,3696,3736,1,0],[0,3736,3808,1,0],[1,3750,3822,1,0],[0,3808,3880,1,0],[1,3838,3910,1,0],[0,3896,3968,1,0],[1,3910,3982,1,0],[0,3968,4040,1,0],[1,3982,4054,1,0],[0,4046,4062,1,0],[1,4088,4160,1,0],[0,4100,4172,1,0],[1,4160,4232,1,0],[0,4172,4188,1,0],[0,4204,4220,1,0],[0,4220,4292,1,0],[1,4232,4304,1,0],[0,4292,4364,1,0],[1,4304,4376,1,0],[0,4366,4438,1,0],[1,4378,4450,1,0],[0,4440,4512,1,0],[1,4480,4552,1,0],[0,4522,4594,1,0],[1,4559,4631,1,0],[0,4594,4666,1,0],[1,4647,4719,1,0],[1,4719,4791,1,0],[0,4746,4818,1,0],[1,4791,4863,1,0],[0,4818,4890,1,0],[1,4863,4935,1,0],[0,4902,4974,1,0],[1,4944,5016,1,0],[0,4976,5048,1,0],[1,5016,5088,1,0],[0,5048,5120,1,0],[1,5088,5160,1,0],[0,5120,5192,1,0],[1,5160,5232,1,0],[0,5230,5270,1,0],[1,5234,5306,1,0],[0,5270,5342,1,0],[1,5306,5378,1,0],[0,5348,5420,1,0],[1,5388,5460,1,0],[0,5436,5452,1,0],[1,5460,5532,1,0],[0,5492,5564,1,0],[1,5532,5604,1,0],[0,5565,5581,1,0],[0,5581,5653,1,0],[1,5604,5676,1,0],[0,5653,5725,1,0],[1,5676,5748,1,0],[0,5725,5797,1,0],[1,5748,5820,1,0],[0,5797,5869,1,0],[1,5820,5892,1,0],[1,5892,5964,1,0],[0,5944,5984,1,0],[1,5964,6036,1,0],[0,5997,6013,1,0],[0,6013,6029,1,0],[0,6029,6101,1,0],[1,6069,6141,1,0],[0,6116,6132,1,0],[0,6132,6148,1,0],[1,6141,6213,1,0],[0,6148,6164,1,0],[0,6164,6180,1,0],[1,6213,6285,1,0],[0,6240,6280,1,0],[1,6285,6357,1,0],[0,6317,6389,1,0],[1,6357,6429,1,0],[1,6429,6501,1,0],[0,6448,6488,1,0],[1,6501,6573,1,0],[0,6520,6560,1,0],[1,6573,6645,1,0],[0,6605,6677,1,0],[1,6645,6717,1,0],[0,6736,6776,1,0],[0,6816,6856,1,0],[0,6856,6896,1,0],[0,6965,7037,1,0],[0,7240,7280,1,0],[0,7360,7400,1,0],[0,7614,7686,1,0]],[[1,69,141,1,0],[0,95,167,1,0],[1,141,213,1,0],[0,189,261,1,0],[1,213,285,1,0],[1,297,369,1,0],[0,328,400,1,0],[1,426,498,1,0],[0,472,544,1,0],[1,513,585,1,0],[1,585,657,1,0],[0,603,675,1,0],[0,693,765,1,0],[1,714,786,1,0],[1,786,858,1,0],[0,819,891,1,0],[1,858,930,1,0],[1,930,1002,1,0],[0,963,1035,1,0],[1,1002,1074,1,0],[0,1035,1107,1,0],[1,1074,1146,1,0],[1,1146,1218,1,0],[0,1179,1251,1,0],[1,1218,1290,1,0],[0,1251,1323,1,0],[1,1290,1362,1,0],[0,1341,1413,1,0],[1,1362,1434,1,0],[1,1434,1506,1,0],[0,1467,1539,1,0],[1,1506,1578,1,0],[0,1557,1629,1,0],[1,1578,1650,1,0],[0,1641,1697,1,0],[1,1650,1722,1,0],[0,1701,1773,1,0],[1,1722,1794,1,0],[1,1794,1866,1,0],[0,1825,1881,1,0],[1,1866,1938,1,0],[0,1899,1971,1,0],[1,1938,2010,1,0],[0,1989,2061,1,0],[1,2010,2082,1,0],[1,2082,2154,1,0],[0,2115,2187,1,0],[1,2154,2226,1,0],[0,2187,2259,1,0],[1,2226,2298,1,0],[1,2298,2370,1,0],[0,2329,2385,1,0],[1,2370,2442,1,0],[0,2385,2441,1,0],[1,2442,2514,1,0],[0,2475,2547,1,0],[1,2514,2586,1,0],[0,2547,2619,1,0],[1,2586,2658,1,0],[0,2626,2698,1,0],[1,2714,2786,1,0],[0,2745,2801,1,0],[1,2806,2878,1,0],[0,2819,2891,1,0],[0,2914,2986,1,0],[1,2930,3002,1,0],[1,3002,3074,1,0],[0,3003,3075,1,0],[1,3074,3146,1,0],[0,3107,3179,1,0],[1,3146,3218,1,0],[0,3179,3251,1,0],[1,3218,3290,1,0],[0,3253,3325,1,0],[1,3290,3362,1,0],[0,3325,3397,1,0],[1,3362,3434,1,0],[0,3435,3507,1,0],[1,3490,3562,1,0],[0,3539,3611,1,0],[0,3613,3685,1,0],[1,3618,3690,1,0],[1,3690,3762,1,0],[0,3723,3795,1,0],[0,3795,3867,1,0],[1,3818,3890,1,0],[0,3867,3939,1,0],[1,3890,3962,1,0],[0,3939,4011,1,0],[1,3962,4034,1,0],[0,4045,4117,1,0],[1,4058,4130,1,0],[0,4117,4189,1,0],[1,4130,4202,1,0],[0,4189,4261,1,0],[1,4202,4274,1,0],[1,4274,4346,1,0],[0,4299,4355,1,0],[1,4346,4418,1,0],[0,4355,4427,1,0],[1,4418,4490,1,0],[0,4427,4483,1,0],[0,4483,4539,1,0],[1,4490,4562,1,0],[0,4539,4595,1,0],[1,4562,4634,1,0],[1,4634,4706,1,0],[0,4636,4692,1,0],[0,4692,4748,1,0],[1,4708,4780,1,0],[0,4748,4820,1,0],[1,4780,4852,1,0],[0,4820,4892,1,0],[1,4852,4924,1,0],[0,4892,4964,1,0],[1,4924,4996,1,0],[0,4964,5036,1,0],[1,4996,5068,1,0],[0,5036,5108,1,0],[1,5068,5140,1,0],[0,5108,5180,1,0],[1,5140,5212,1,0],[0,5180,5252,1,0],[1,5212,5284,1,0],[1,5284,5356,1,0],[0,5299,5355,1,0],[1,5356,5428,1,0],[0,5357,5429,1,0],[1,5428,5500,1,0],[0,5429,5501,1,0],[1,5500,5572,1,0],[0,5501,5573,1,0],[0,5573,5645,1,0],[1,5596,5668,1,0],[0,5645,5717,1,0],[1,5668,5740,1,0],[0,5717,5789,1,0],[1,5740,5812,1,0],[1,5812,5884,1,0],[0,5861,5933,1,0],[1,5884,5956,1,0],[0,5933,5989,1,0],[1,5956,6028,1,0],[0,6005,6077,1,0],[1,6028,6100,1,0],[0,6078,6150,1,0],[1,6100,6172,1,0],[1,6172,6244,1,0],[0,6189,6261,1,0],[1,6263,6335,1,0],[0,6293,6349,1,0],[0,6349,6405,1,0],[0,6405,6477,1,0],[0,6549,6621,1,0],[0,6653,6725,1,0],[0,6797,6869,1,0],[0,6869,6941,1,0],[0,6941,7013,1,0],[0,7013,7085,1,0],[0,7767,7823,1,0]],[[0,52,92,1,0],[1,69,141,1,0],[0,99,171,1,0],[0,171,243,1,0],[1,198,270,1,0],[0,244,284,1,0],[0,284,356,1,0],[1,293,365,1,0],[0,356,428,1,0],[1,381,453,1,0],[0,429,501,1,0],[1,453,525,1,0],[0,501,573,1,0],[0,573,645,1,0],[1,584,656,1,0],[0,645,717,1,0],[1,670,742,1,0],[0,717,757,1,0],[0,757,773,1,0],[0,773,845,1,0],[1,798,870,1,0],[0,845,885,1,0],[1,886,958,1,0],[0,887,959,1,0],[0,959,975,1,0],[0,975,1047,1,0],[1,1014,1086,1,0],[0,1047,1119,1,0],[0,1119,1191,1,0],[1,1143,1215,1,0],[1,1215,1287,1,0],[0,1230,1302,1,0],[0,1314,1386,1,0],[1,1343,1415,1,0],[0,1413,1485,1,0],[1,1415,1487,1,0],[0,1523,1563,1,0],[1,1557,1629,1,0],[0,1563,1635,1,0],[0,1642,1714,1,0],[1,1687,1759,1,0],[0,1730,1802,1,0],[1,1759,1831,1,0],[0,1802,1874,1,0],[1,1831,1903,1,0],[0,1874,1946,1,0],[1,1903,1975,1,0],[0,2018,2090,1,0],[1,2031,2103,1,0],[1,2149,2221,1,0],[0,2167,2239,1,0],[0,2239,2255,1,0],[1,2293,2365,1,0],[0,2311,2383,1,0],[1,2407,2479,1,0],[0,2455,2527,1,0],[1,2509,2581,1,0],[0,2551,2567,1,0],[0,2583,2655,1,0],[1,2623,2695,1,0],[0,2671,2743,1,0],[1,2695,2767,1,0],[1,2767,2839,1,0],[0,2799,2871,1,0],[1,2839,2911,1,0],[0,2871,2943,1,0],[1,2911,2983,1,0],[0,2959,3031,1,0],[1,2984,3056,1,0],[0,3031,3047,1,0],[0,3063,3079,1,0],[0,3079,3095,1,0],[0,3095,3167,1,0],[1,3111,3183,1,0],[0,3167,3239,1,0],[1,3183,3255,1,0],[1,3255,3327,1,0],[0,3268,3340,1,0],[1,3327,3399,1,0],[0,3340,3412,1,0],[1,3412,3484,1,0],[0,3454,3526,1,0],[1,3535,3607,1,0],[0,3556,3628,1,0],[1,3607,3679,1,0],[0,3639,3711,1,0],[1,3679,3751,1,0],[0,3711,3783,1,0],[1,3751,3823,1,0],[0,3806,3822,1,0],[1,3823,3895,1,0],[0,3824,3896,1,0],[1,3895,3967,1,0],[0,3896,3968,1,0],[1,3967,4039,1,0],[0,3968,4040,1,0],[1,4039,4111,1,0],[0,4060,4132,1,0],[1,4159,4231,1,0],[0,4184,4256,1,0],[1,4231,4303,1,0],[0,4264,4336,1,0],[1,4305,4377,1,0],[0,4336,4352,1,0],[0,4352,4424,1,0],[1,4377,4449,1,0],[0,4440,4456,1,0],[1,4479,4551,1,0],[0,4496,4568,1,0],[1,4551,4623,1,0],[0,4568,4640,1,0],[1,4623,4695,1,0],[0,4662,4702,1,0],[1,4695,4767,1,0],[0,4742,4814,1,0],[1,4783,4855,1,0],[0,4814,4830,1,0],[0,4830,4870,1,0],[1,4855,4927,1,0],[0,4870,4910,1,0],[0,4910,4982,1,0],[1,4929,5001,1,0],[1,5016,5088,1,0],[0,5030,5046,1,0],[0,5046,5086,1,0],[0,5086,5126,1,0],[1,5088,5160,1,0],[0,5126,5166,1,0],[1,5160,5232,1,0],[0,5166,5182,1,0],[0,5182,5198,1,0],[0,5198,5214,1,0],[0,5214,5230,1,0],[0,5230,5270,1,0],[1,5232,5304,1,0],[0,5270,5310,1,0],[1,5304,5376,1,0],[0,5336,5408,1,0],[1,5377,5449,1,0],[0,5408,5480,1,0],[1,5449,5521,1,0],[0,5480,5552,1,0],[1,5521,5593,1,0],[0,5552,5624,1,0],[1,5599,5671,1,0],[0,5662,5702,1,0],[1,5671,5743,1,0],[0,5702,5774,1,0],[1,5743,5815,1,0],[0,5774,5846,1,0],[1,5815,5887,1,0],[0,5846,5918,1,0],[0,5918,5990,1,0],[1,5927,5999,1,0],[1,6025,6097,1,0],[0,6062,6102,1,0],[1,6097,6169,1,0],[0,6102,6174,1,0],[1,6169,6241,1,0],[0,6222,6262,1,0],[1,6313,6385,1,0],[1,6385,6457,1,0],[0,6390,6462,1,0],[1,6457,6529,1,0],[0,6462,6534,1,0],[1,6529,6601,1,0],[1,6601,6673,1,0],[1,6673,6745,1,0],[0,6678,6750,1,0],[0,6822,6894,1,0],[0,6966,7038,1,0],[0,7182,7254,1,0],[0,7398,7470,1,0],[0,7686,7758,1,0]],[[0,13,85,1,0],[0,85,157,1,0],[1,129,201,1,0],[0,157,229,1,0],[1,201,273,1,0],[0,229,301,1,0],[1,273,345,1,0],[0,310,350,1,0],[1,358,430,1,0],[0,377,449,1,0],[1,479,551,1,0],[0,487,503,1,0],[0,503,575,1,0],[0,575,647,1,0],[1,599,671,1,0],[0,647,719,1,0],[1,720,792,1,0],[0,727,767,1,0],[0,784,856,1,0],[1,831,903,1,0],[0,856,928,1,0],[0,930,1002,1,0],[1,968,1040,1,0],[1,1040,1112,1,0],[0,1041,1057,1,0],[0,1057,1073,1,0],[0,1073,1113,1,0],[1,1112,1184,1,0],[0,1129,1145,1,0],[0,1145,1161,1,0],[0,1161,1233,1,0],[1,1193,1265,1,0],[0,1233,1305,1,0],[1,1265,1337,1,0],[0,1349,1421,1,0],[1,1351,1423,1,0],[1,1463,1535,1,0],[0,1488,1504,1,0],[0,1504,1576,1,0],[1,1575,1647,1,0],[0,1580,1652,1,0],[1,1687,1759,1,0],[0,1713,1785,1,0],[1,1759,1831,1,0],[0,1800,1872,1,0],[1,1831,1903,1,0],[1,1903,1975,1,0],[0,1921,1993,1,0],[1,1975,2047,1,0],[1,2047,2119,1,0],[0,2079,2151,1,0],[1,2119,2191,1,0],[0,2151,2191,1,0],[1,2191,2263,1,0],[0,2192,2264,1,0],[1,2265,2337,1,0],[0,2295,2367,1,0],[1,2352,2424,1,0],[0,2367,2383,1,0],[0,2386,2458,1,0],[1,2424,2496,1,0],[0,2458,2530,1,0],[1,2496,2568,1,0],[0,2530,2602,1,0],[1,2568,2640,1,0],[0,2602,2674,1,0],[1,2640,2712,1,0],[0,2701,2773,1,0],[1,2743,2815,1,0],[0,2818,2890,1,0],[1,2856,2928,1,0],[0,2921,2993,1,0],[1,2928,3000,1,0],[1,3000,3072,1,0],[0,3017,3089,1,0],[1,3072,3144,1,0],[0,3089,3161,1,0],[1,3144,3216,1,0],[0,3201,3273,1,0],[1,3216,3288,1,0],[1,3288,3360,1,0],[0,3289,3361,1,0],[0,3361,3377,1,0],[1,3399,3471,1,0],[0,3433,3505,1,0],[1,3473,3545,1,0],[0,3505,3577,1,0],[1,3545,3617,1,0],[1,3617,3689,1,0],[0,3618,3690,1,0],[1,3689,3761,1,0],[0,3690,3706,1,0],[0,3706,3778,1,0],[1,3761,3833,1,0],[0,3778,3850,1,0],[1,3833,3905,1,0],[0,3865,3937,1,0],[1,3905,3977,1,0],[0,3955,3995,1,0],[1,3991,4063,1,0],[0,4035,4107,1,0],[1,4063,4135,1,0],[0,4115,4187,1,0],[1,4135,4207,1,0],[0,4187,4259,1,0],[1,4207,4279,1,0],[0,4271,4343,1,0],[1,4329,4401,1,0],[0,4343,4383,1,0],[1,4401,4473,1,0],[0,4415,4487,1,0],[1,4485,4557,1,0],[0,4498,4514,1,0],[0,4514,4586,1,0],[1,4557,4629,1,0],[0,4586,4602,1,0],[0,4602,4674,1,0],[1,4629,4701,1,0],[0,4674,4746,1,0],[1,4709,4781,1,0],[0,4779,4819,1,0],[1,4781,4853,1,0],[0,4819,4891,1,0],[1,4865,4937,1,0],[0,4891,4963,1,0],[1,4937,5009,1,0],[0,4971,5043,1,0],[1,5009,5081,1,0],[0,5043,5115,1,0],[1,5083,5155,1,0],[1,5157,5229,1,0],[0,5183,5255,1,0],[1,5229,5301,1,0],[0,5255,5271,1,0],[0,5271,5343,1,0],[1,5301,5373,1,0],[0,5343,5415,1,0],[1,5373,5445,1,0],[0,5415,5487,1,0],[1,5445,5517,1,0],[1,5517,5589,1,0],[0,5531,5571,1,0],[0,5571,5643,1,0],[1,5589,5661,1,0],[0,5643,5715,1,0],[1,5661,5733,1,0],[0,5715,5787,1,0],[1,5733,5805,1,0],[0,5795,5811,1,0],[1,5805,5877,1,0],[0,5811,5827,1,0],[0,5827,5843,1,0],[0,5859,5931,1,0],[1,5877,5949,1,0],[0,5931,6003,1,0],[1,5990,6062,1,0],[0,6024,6040,1,0],[0,6096,6168,1,0],[1,6134,6206,1,0],[0,6179,6251,1,0],[0,6251,6323,1,0],[1,6278,6350,1,0],[0,6456,6528,1,0],[0,6619,6659,1,0],[0,6691,6731,1,0],[0,6771,6811,1,0],[0,6816,6888,1,0],[0,7043,7083,1,0],[0,7195,7235,1,0],[0,7315,7355,1,0],[0,7467,7507,1,0],[0,7619,7659,1,0]],[[0,12,84,1,0],[1,69,141,1,0],[0,116,188,1,0],[1,141,213,1,0],[0,262,334,1,0],[1,264,336,1,0],[1,336,408,1,0],[0,424,496,1,0],[1,441,513,1,0],[1,513,585,1,0],[1,585,657,1,0],[0,604,676,1,0],[1,657,729,1,0],[0,733,805,1,0],[1,789,861,1,0],[0,840,872,1,0],[1,861,933,1,0],[0,944,976,1,0],[1,1005,1077,1,0],[0,1012,1036,1,0],[0,1093,1165,1,0],[1,1138,1210,1,0],[0,1181,1253,1,0],[1,1210,1282,1,0],[0,1276,1300,1,0],[0,1301,1333,1,0],[1,1339,1411,1,0],[0,1340,1412,1,0],[1,1411,1483,1,0],[0,1441,1513,1,0],[1,1483,1555,1,0],[0,1537,1569,1,0],[1,1555,1627,1,0],[1,1627,1699,1,0],[0,1659,1731,1,0],[1,1699,1771,1,0],[0,1737,1809,1,0],[1,1779,1851,1,0],[0,1810,1834,1,0],[1,1851,1923,1,0],[0,1877,1949,1,0],[1,1933,2005,1,0],[0,1963,2035,1,0],[1,2005,2077,1,0],[0,2057,2089,1,0],[1,2077,2149,1,0],[0,2089,2113,1,0],[0,2139,2211,1,0],[1,2150,2222,1,0],[1,2222,2294,1,0],[0,2227,2299,1,0],[1,2294,2366,1,0],[0,2313,2385,1,0],[0,2385,2457,1,0],[1,2427,2499,1,0],[0,2497,2569,1,0],[1,2499,2571,1,0],[0,2571,2643,1,0],[1,2627,2699,1,0],[0,2659,2731,1,0],[1,2699,2771,1,0],[0,2745,2817,1,0],[1,2771,2843,1,0],[0,2819,2891,1,0],[1,2843,2915,1,0],[0,2915,2947,1,0],[1,2971,3043,1,0],[0,2977,3049,1,0],[1,3043,3115,1,0],[0,3075,3099,1,0],[0,3099,3123,1,0],[1,3115,3187,1,0],[0,3123,3195,1,0],[0,3195,3267,1,0],[1,3243,3315,1,0],[0,3301,3373,1,0],[1,3323,3395,1,0],[0,3393,3465,1,0],[1,3395,3467,1,0],[0,3473,3545,1,0],[1,3515,3587,1,0],[0,3545,3617,1,0],[1,3587,3659,1,0],[0,3635,3707,1,0],[1,3667,3739,1,0],[0,3723,3755,1,0],[1,3739,3811,1,0],[0,3755,3779,1,0],[0,3779,3851,1,0],[1,3812,3884,1,0],[0,3851,3875,1,0],[0,3875,3907,1,0],[1,3884,3956,1,0],[0,3921,3993,1,0],[1,3979,4051,1,0],[0,3995,4067,1,0],[1,4051,4123,1,0],[0,4067,4091,1,0],[0,4091,4115,1,0],[1,4123,4195,1,0],[0,4138,4210,1,0],[1,4196,4268,1,0],[0,4210,4242,1,0],[0,4243,4315,1,0],[1,4275,4347,1,0],[0,4315,4339,1,0],[0,4339,4363,1,0],[1,4347,4419,1,0],[0,4363,4395,1,0],[0,4395,4467,1,0],[1,4419,4491,1,0],[0,4467,4539,1,0],[1,4513,4585,1,0],[0,4572,4644,1,0],[1,4587,4659,1,0],[0,4644,4676,1,0],[1,4659,4731,1,0],[0,4676,4748,1,0],[1,4731,4803,1,0],[0,4748,4820,1,0],[1,4803,4875,1,0],[0,4820,4892,1,0],[1,4875,4947,1,0],[0,4892,4964,1,0],[1,4947,5019,1,0],[0,4970,5042,1,0],[1,5019,5091,1,0],[0,5059,5091,1,0],[0,5091,5115,1,0],[1,5098,5170,1,0],[0,5115,5139,1,0],[0,5139,5163,1,0],[0,5163,5187,1,0],[1,5170,5242,1,0],[0,5200,5272,1,0],[1,5256,5328,1,0],[0,5299,5371,1,0],[1,5328,5400,1,0],[0,5372,5444,1,0],[1,5400,5472,1,0],[0,5444,5516,1,0],[1,5472,5544,1,0],[0,5516,5588,1,0],[1,5544,5616,1,0],[0,5588,5660,1,0],[1,5616,5688,1,0],[1,5688,5760,1,0],[0,5690,5762,1,0],[1,5760,5832,1,0],[0,5785,5817,1,0],[0,5817,5889,1,0],[1,5833,5905,1,0],[0,5889,5961,1,0],[1,5905,5977,1,0],[0,5963,6035,1,0],[1,5984,6056,1,0],[0,6035,6107,1,0],[1,6075,6147,1,0],[0,6137,6209,1,0],[1,6147,6219,1,0],[0,6209,6281,1,0],[1,6272,6344,1,0],[0,6281,6353,1,0],[1,6344,6416,1,0],[0,6369,6441,1,0],[1,6416,6488,1,0],[0,6441,6513,1,0],[1,6555,6627,1,0],[0,6585,6657,1,0],[1,6627,6699,1,0],[0,6729,6801,1,0],[0,7187,7259,1,0],[0,7475,7547,1,0],[0,7771,7803,1,0],[0,7907,7939,1,0],[0,8083,8115,1,0]],[[0,12,84,1,0],[1,69,141,1,0],[0,103,175,1,0],[1,141,213,1,0],[0,179,251,1,0],[0,251,323,1,0],[1,261,333,1,0],[0,323,395,1,0],[1,373,445,1,0],[0,395,467,1,0],[1,465,537,1,0],[0,480,552,1,0],[1,544,616,1,0],[0,552,624,1,0],[0,624,696,1,0],[1,634,706,1,0],[0,696,768,1,0],[1,720,792,1,0],[0,768,840,1,0],[0,840,912,1,0],[1,852,924,1,0],[0,927,999,1,0],[1,974,1046,1,0],[0,999,1039,1,0],[0,1042,1114,1,0],[1,1108,1180,1,0],[0,1114,1130,1,0],[0,1154,1226,1,0],[1,1221,1293,1,0],[0,1226,1298,1,0],[1,1324,1396,1,0],[0,1329,1369,1,0],[0,1381,1453,1,0],[1,1445,1517,1,0],[0,1453,1525,1,0],[1,1523,1595,1,0],[0,1565,1637,1,0],[1,1610,1682,1,0],[0,1641,1657,1,0],[0,1673,1713,1,0],[1,1682,1754,1,0],[0,1713,1785,1,0],[1,1754,1826,1,0],[0,1785,1857,1,0],[1,1826,1898,1,0],[0,1869,1941,1,0],[1,1898,1970,1,0],[1,1980,2052,1,0],[0,2013,2085,1,0],[1,2094,2166,1,0],[0,2148,2164,1,0],[0,2199,2271,1,0],[1,2212,2284,1,0],[0,2289,2305,1,0],[1,2326,2398,1,0],[0,2378,2450,1,0],[1,2398,2470,1,0],[1,2475,2547,1,0],[0,2505,2577,1,0],[1,2547,2619,1,0],[0,2577,2649,1,0],[1,2619,2691,1,0],[0,2649,2721,1,0],[1,2691,2763,1,0],[0,2738,2810,1,0],[1,2763,2835,1,0],[0,2810,2882,1,0],[1,2835,2907,1,0],[0,2938,3010,1,0],[1,2942,3014,1,0],[0,3010,3082,1,0],[1,3014,3086,1,0],[1,3086,3158,1,0],[0,3119,3191,1,0],[1,3158,3230,1,0],[0,3191,3263,1,0],[1,3230,3302,1,0],[0,3265,3281,1,0],[1,3302,3374,1,0],[0,3307,3379,1,0],[1,3374,3446,1,0],[0,3407,3479,1,0],[1,3446,3518,1,0],[0,3479,3551,1,0],[1,3518,3590,1,0],[0,3562,3634,1,0],[1,3638,3710,1,0],[0,3668,3740,1,0],[1,3710,3782,1,0],[0,3743,3815,1,0],[1,3782,3854,1,0],[0,3815,3887,1,0],[1,3860,3932,1,0],[0,3921,3993,1,0],[1,3932,4004,1,0],[0,3995,4011,1,0],[1,4004,4076,1,0],[0,4027,4099,1,0],[1,4076,4148,1,0],[0,4099,4115,1,0],[0,4115,4131,1,0],[0,4131,4203,1,0],[1,4148,4220,1,0],[0,4203,4219,1,0],[1,4220,4292,1,0],[0,4259,4331,1,0],[1,4326,4398,1,0],[0,4347,4419,1,0],[1,4404,4476,1,0],[0,4419,4435,1,0],[0,4451,4491,1,0],[1,4476,4548,1,0],[0,4521,4537,1,0],[1,4548,4620,1,0],[0,4553,4593,1,0],[0,4593,4665,1,0],[1,4620,4692,1,0],[0,4665,4737,1,0],[1,4692,4764,1,0],[0,4769,4809,1,0],[1,4791,4863,1,0],[0,4809,4881,1,0],[1,4863,4935,1,0],[0,4898,4970,1,0],[1,4946,5018,1,0],[0,4970,5042,1,0],[0,5042,5114,1,0],[1,5050,5122,1,0],[0,5114,5186,1,0],[1,5151,5223,1,0],[0,5186,5258,1,0],[1,5223,5295,1,0],[0,5258,5330,1,0],[1,5295,5367,1,0],[1,5367,5439,1,0],[0,5403,5475,1,0],[1,5444,5516,1,0],[0,5475,5547,1,0],[1,5516,5588,1,0],[0,5553,5625,1,0],[1,5588,5660,1,0],[0,5625,5697,1,0],[1,5666,5738,1,0],[0,5697,5769,1,0],[1,5738,5810,1,0],[0,5793,5809,1,0],[1,5810,5882,1,0],[0,5841,5881,1,0],[0,5881,5953,1,0],[1,5882,5954,1,0],[0,5953,5969,1,0],[1,5954,6026,1,0],[0,5969,5985,1,0],[0,6025,6097,1,0],[1,6088,6160,1,0],[0,6129,6145,1,0],[1,6160,6232,1,0],[0,6169,6241,1,0],[1,6232,6304,1,0],[0,6289,6329,1,0],[0,6329,6369,1,0],[1,6376,6448,1,0],[0,6425,6441,1,0],[1,6448,6520,1,0],[0,6481,6521,1,0],[0,6529,6601,1,0],[0,6737,6777,1,0],[0,6849,6889,1,0],[0,6953,6993,1,0],[0,7033,7105,1,0],[0,7321,7393,1,0],[0,7617,7657,1,0],[0,7761,7801,1,0],[0,7873,7913,1,0]],[[0,13,85,1,0],[1,69,141,1,0],[0,117,189,1,0],[1,141,213,1,0],[0,193,265,1,0],[1,260,332,1,0],[1,332,404,1,0],[0,363,387,1,0],[1,413,485,1,0],[0,421,493,1,0],[1,548,620,1,0],[0,622,694,1,0],[1,677,749,1,0],[0,739,811,1,0],[1,821,893,1,0],[0,892,916,1,0],[0,916,948,1,0],[1,933,1005,1,0],[0,948,980,1,0],[1,1005,1077,1,0],[0,1042,1114,1,0],[1,1077,1149,1,0],[1,1149,1221,1,0],[0,1168,1200,1,0],[0,1200,1272,1,0],[1,1221,1293,1,0],[1,1293,1365,1,0],[0,1344,1416,1,0],[1,1421,1493,1,0],[0,1448,1520,1,0],[1,1505,1577,1,0],[0,1546,1570,1,0],[0,1570,1642,1,0],[1,1578,1650,1,0],[0,1656,1688,1,0],[1,1680,1752,1,0],[0,1720,1752,1,0],[0,1769,1841,1,0],[1,1824,1896,1,0],[0,1884,1956,1,0],[1,1896,1968,1,0],[1,1968,2040,1,0],[0,1996,2028,1,0],[0,2028,2060,1,0],[1,2040,2112,1,0],[0,2060,2132,1,0],[1,2112,2184,1,0],[0,2132,2204,1,0],[1,2186,2258,1,0],[0,2222,2294,1,0],[1,2258,2330,1,0],[0,2324,2396,1,0],[1,2330,2402,1,0],[0,2414,2486,1,0],[1,2453,2525,1,0],[0,2508,2540,1,0],[1,2525,2597,1,0],[0,2558,2630,1,0],[1,2597,2669,1,0],[0,2630,2702,1,0],[1,2669,2741,1,0],[0,2726,2750,1,0],[1,2741,2813,1,0],[0,2758,2830,1,0],[0,2830,2902,1,0],[1,2871,2943,1,0],[1,2951,3023,1,0],[0,2952,3024,1,0],[1,3031,3103,1,0],[0,3036,3068,1,0],[0,3068,3140,1,0],[1,3103,3175,1,0],[1,3175,3247,1,0],[0,3187,3211,1,0],[0,3211,3283,1,0],[0,3283,3355,1,0],[1,3297,3369,1,0],[0,3355,3427,1,0],[1,3371,3443,1,0],[0,3429,3461,1,0],[1,3443,3515,1,0],[0,3461,3485,1,0],[0,3500,3572,1,0],[1,3515,3587,1,0],[0,3574,3646,1,0],[1,3641,3713,1,0],[0,3676,3700,1,0],[0,3702,3726,1,0],[0,3726,3750,1,0],[0,3757,3829,1,0],[1,3769,3841,1,0],[0,3830,3854,1,0],[0,3860,3932,1,0],[1,3897,3969,1,0],[0,3932,4004,1,0],[1,3993,4065,1,0],[0,4028,4052,1,0],[0,4052,4076,1,0],[1,4065,4137,1,0],[0,4076,4148,1,0],[1,4161,4233,1,0],[0,4178,4250,1,0],[1,4233,4305,1,0],[0,4250,4322,1,0],[1,4306,4378,1,0],[0,4322,4394,1,0],[1,4378,4450,1,0],[0,4414,4446,1,0],[0,4446,4518,1,0],[1,4451,4523,1,0],[0,4518,4590,1,0],[1,4528,4600,1,0],[0,4590,4662,1,0],[1,4621,4693,1,0],[0,4662,4734,1,0],[1,4716,4788,1,0],[0,4749,4821,1,0],[1,4795,4867,1,0],[0,4821,4893,1,0],[1,4867,4939,1,0],[0,4893,4965,1,0],[1,4939,5011,1,0],[0,4988,5060,1,0],[1,5029,5101,1,0],[0,5067,5091,1,0],[0,5092,5164,1,0],[1,5101,5173,1,0],[0,5164,5236,1,0],[1,5173,5245,1,0],[0,5236,5308,1,0],[1,5270,5342,1,0],[0,5314,5386,1,0],[1,5342,5414,1,0],[0,5397,5469,1,0],[1,5414,5486,1,0],[0,5469,5541,1,0],[1,5486,5558,1,0],[0,5564,5636,1,0],[1,5581,5653,1,0],[0,5644,5668,1,0],[1,5659,5731,1,0],[0,5668,5692,1,0],[0,5692,5764,1,0],[1,5731,5803,1,0],[0,5764,5836,1,0],[1,5803,5875,1,0],[0,5861,5885,1,0],[1,5880,5952,1,0],[0,5897,5969,1,0],[1,5958,6030,1,0],[0,5973,6045,1,0],[1,6030,6102,1,0],[0,6045,6117,1,0],[0,6117,6189,1,0],[1,6128,6200,1,0],[1,6200,6272,1,0],[0,6227,6259,1,0],[0,6266,6338,1,0],[1,6323,6395,1,0],[0,6369,6441,1,0],[1,6395,6467,1,0],[0,6441,6513,1,0],[1,6467,6539,1,0],[0,6513,6585,1,0],[1,6539,6611,1,0],[0,6585,6657,1,0],[1,6611,6683,1,0],[0,6657,6729,1,0],[1,6683,6755,1,0],[1,6755,6827,1,0],[1,6827,6899,1,0],[0,7233,7305,1,0],[0,7495,7527,1,0],[0,7671,7703,1,0],[0,7855,7887,1,0],[0,8039,8071,1,0]],[[0,44,116,1,0],[1,69,141,1,0],[0,174,246,1,0],[1,197,269,1,0],[1,320,392,1,0],[0,325,357,1,0],[0,361,385,1,0],[0,385,457,1,0],[1,392,464,1,0],[1,464,536,1,0],[0,529,601,1,0],[1,568,640,1,0],[1,701,773,1,0],[0,731,803,1,0],[1,773,845,1,0],[0,820,844,1,0],[1,845,917,1,0],[0,902,974,1,0],[1,917,989,1,0],[1,989,1061,1,0],[0,1006,1078,1,0],[1,1061,1133,1,0],[1,1133,1205,1,0],[0,1154,1226,1,0],[1,1219,1291,1,0],[0,1267,1339,1,0],[1,1309,1381,1,0],[0,1355,1427,1,0],[1,1381,1453,1,0],[1,1485,1557,1,0],[0,1499,1571,1,0],[1,1557,1629,1,0],[0,1611,1635,1,0],[1,1629,1701,1,0],[0,1643,1715,1,0],[1,1701,1773,1,0],[0,1737,1769,1,0],[1,1773,1845,1,0],[0,1803,1875,1,0],[1,1845,1917,1,0],[0,1875,1947,1,0],[1,1917,1989,1,0],[0,1949,2021,1,0],[1,2035,2107,1,0],[0,2065,2137,1,0],[1,2107,2179,1,0],[0,2137,2209,1,0],[1,2179,2251,1,0],[0,2241,2313,1,0],[1,2251,2323,1,0],[1,2323,2395,1,0],[0,2337,2409,1,0],[1,2395,2467,1,0],[0,2409,2481,1,0],[1,2467,2539,1,0],[0,2491,2523,1,0],[1,2539,2611,1,0],[0,2569,2641,1,0],[1,2611,2683,1,0],[0,2643,2715,1,0],[1,2683,2755,1,0],[0,2715,2787,1,0],[1,2787,2859,1,0],[0,2817,2889,1,0],[1,2859,2931,1,0],[0,2889,2961,1,0],[1,2931,3003,1,0],[1,3003,3075,1,0],[0,3033,3105,1,0],[1,3075,3147,1,0],[0,3105,3177,1,0],[1,3163,3235,1,0],[0,3189,3213,1,0],[0,3213,3285,1,0],[1,3235,3307,1,0],[0,3307,3331,1,0],[0,3339,3411,1,0],[1,3355,3427,1,0],[0,3411,3435,1,0],[1,3427,3499,1,0],[0,3459,3483,1,0],[0,3483,3507,1,0],[1,3501,3573,1,0],[0,3507,3531,1,0],[0,3531,3555,1,0],[0,3555,3579,1,0],[0,3579,3611,1,0],[1,3603,3675,1,0],[0,3611,3683,1,0],[1,3675,3747,1,0],[0,3683,3755,1,0],[1,3755,3827,1,0],[0,3756,3828,1,0],[1,3827,3899,1,0],[0,3835,3907,1,0],[1,3899,3971,1,0],[0,3923,3995,1,0],[1,3987,4059,1,0],[0,4019,4043,1,0],[0,4043,4067,1,0],[1,4059,4131,1,0],[0,4067,4139,1,0],[1,4131,4203,1,0],[0,4139,4211,1,0],[1,4203,4275,1,0],[0,4213,4237,1,0],[0,4237,4261,1,0],[1,4283,4355,1,0],[0,4284,4356,1,0],[1,4355,4427,1,0],[0,4356,4428,1,0],[1,4427,4499,1,0],[0,4428,4500,1,0],[1,4499,4571,1,0],[0,4507,4579,1,0],[1,4571,4643,1,0],[0,4579,4651,1,0],[1,4644,4716,1,0],[0,4651,4723,1,0],[1,4716,4788,1,0],[0,4723,4795,1,0],[1,4788,4860,1,0],[0,4804,4876,1,0],[1,4860,4932,1,0],[0,4876,4948,1,0],[1,4938,5010,1,0],[0,4963,5035,1,0],[1,5010,5082,1,0],[0,5036,5108,1,0],[1,5082,5154,1,0],[0,5112,5184,1,0],[1,5154,5226,1,0],[0,5187,5211,1,0],[0,5211,5283,1,0],[1,5226,5298,1,0],[1,5300,5372,1,0],[0,5312,5344,1,0],[0,5344,5416,1,0],[1,5372,5444,1,0],[0,5428,5500,1,0],[1,5484,5556,1,0],[0,5500,5572,1,0],[1,5556,5628,1,0],[0,5600,5632,1,0],[1,5628,5700,1,0],[0,5633,5705,1,0],[1,5700,5772,1,0],[0,5705,5777,1,0],[1,5772,5844,1,0],[0,5777,5849,1,0],[0,5849,5921,1,0],[1,5857,5929,1,0],[0,5921,5993,1,0],[1,5931,6003,1,0],[1,6003,6075,1,0],[0,6040,6072,1,0],[0,6072,6144,1,0],[1,6090,6162,1,0],[0,6144,6216,1,0],[1,6179,6251,1,0],[0,6216,6288,1,0],[1,6251,6323,1,0],[0,6288,6360,1,0],[0,6360,6432,1,0],[1,6395,6467,1,0],[0,6497,6569,1,0],[0,6641,6713,1,0],[0,7075,7107,1,0],[0,7219,7251,1,0],[0,7323,7355,1,0],[0,7435,7467,1,0],[0,7539,7571,1,0],[0,7683,7715,1,0],[0,7787,7819,1,0],[0,7923,7955,1,0],[0,8099,8131,1,0]],[[0,19,91,1,0],[1,69,141,1,0],[0,91,123,1,0],[0,123,195,1,0],[1,182,254,1,0],[0,195,267,1,0],[1,254,326,1,0],[0,267,299,1,0],[0,299,371,1,0],[1,326,398,1,0],[0,371,443,1,0],[1,405,477,1,0],[0,443,475,1,0],[0,475,547,1,0],[1,477,549,1,0],[0,547,571,1,0],[0,571,643,1,0],[1,591,663,1,0],[0,652,724,1,0],[1,713,785,1,0],[0,724,796,1,0],[0,796,820,1,0],[1,806,878,1,0],[0,820,892,1,0],[0,892,916,1,0],[0,916,988,1,0],[1,929,1001,1,0],[0,988,1012,1,0],[0,1012,1084,1,0],[1,1022,1094,1,0],[0,1084,1108,1,0],[1,1094,1166,1,0],[0,1108,1180,1,0],[1,1166,1238,1,0],[0,1180,1252,1,0],[1,1238,1310,1,0],[0,1252,1276,1,0],[0,1276,1348,1,0],[1,1310,1382,1,0],[0,1348,1420,1,0],[1,1390,1462,1,0],[0,1420,1492,1,0],[1,1462,1534,1,0],[0,1492,1516,1,0],[0,1516,1588,1,0],[1,1558,1630,1,0],[0,1588,1660,1,0],[1,1630,1702,1,0],[0,1660,1732,1,0],[0,1732,1804,1,0],[1,1750,1822,1,0],[0,1804,1828,1,0],[1,1822,1894,1,0],[0,1828,1900,1,0],[1,1894,1966,1,0],[0,1900,1932,1,0],[0,1932,2004,1,0],[1,1966,2038,1,0],[0,2004,2076,1,0],[1,2038,2110,1,0],[0,2076,2108,1,0],[0,2108,2180,1,0],[1,2134,2206,1,0],[0,2180,2212,1,0],[1,2206,2278,1,0],[0,2212,2284,1,0],[1,2278,2350,1,0],[0,2284,2356,1,0],[1,2350,2422,1,0],[0,2356,2428,1,0],[1,2422,2494,1,0],[0,2428,2460,1,0],[0,2460,2532,1,0],[1,2518,2590,1,0],[0,2532,2556,1,0],[0,2556,2628,1,0],[1,2590,2662,1,0],[0,2628,2700,1,0],[1,2686,2758,1,0],[0,2700,2724,1,0],[0,2724,2796,1,0],[1,2790,2862,1,0],[0,2796,2868,1,0],[1,2862,2934,1,0],[0,2868,2900,1,0],[0,2900,2972,1,0],[1,2954,3026,1,0],[0,2972,2996,1,0],[0,2996,3068,1,0],[1,3054,3126,1,0],[0,3068,3140,1,0],[0,3140,3212,1,0],[1,3170,3242,1,0],[0,3212,3244,1,0],[0,3244,3316,1,0],[1,3255,3327,1,0],[0,3316,3348,1,0],[1,3329,3401,1,0],[0,3348,3420,1,0],[1,3401,3473,1,0],[0,3420,3492,1,0],[1,3473,3545,1,0],[0,3492,3564,1,0],[1,3554,3626,1,0],[0,3564,3596,1,0],[0,3596,3668,1,0],[1,3626,3698,1,0],[0,3668,3740,1,0],[1,3698,3770,1,0],[0,3740,3772,1,0],[1,3770,3842,1,0],[0,3772,3796,1,0],[0,3796,3868,1,0],[1,3842,3914,1,0],[0,3868,3892,1,0],[0,3892,3964,1,0],[1,3914,3986,1,0],[0,3964,3996,1,0],[0,3996,4068,1,0],[1,3999,4071,1,0],[0,4068,4140,1,0],[1,4071,4143,1,0],[0,4140,4212,1,0],[1,4154,4226,1,0],[0,4212,4284,1,0],[1,4226,4298,1,0],[1,4298,4370,1,0],[0,4306,4330,1,0],[0,4330,4402,1,0],[1,4370,4442,1,0],[0,4403,4475,1,0],[1,4443,4515,1,0],[0,4475,4547,1,0],[1,4534,4606,1,0],[0,4547,4619,1,0],[1,4606,4678,1,0],[0,4619,4691,1,0],[1,4678,4750,1,0],[0,4722,4794,1,0],[1,4750,4822,1,0],[0,4794,4866,1,0],[1,4822,4894,1,0],[0,4866,4890,1,0],[1,4906,4978,1,0],[0,4907,4979,1,0],[1,4978,5050,1,0],[0,4979,5051,1,0],[1,5050,5122,1,0],[0,5051,5123,1,0],[1,5122,5194,1,0],[0,5123,5195,1,0],[1,5194,5266,1,0],[0,5206,5238,1,0],[1,5266,5338,1,0],[0,5267,5291,1,0],[0,5291,5363,1,0],[1,5338,5410,1,0],[0,5363,5435,1,0],[1,5410,5482,1,0],[0,5435,5507,1,0],[1,5482,5554,1,0],[0,5507,5579,1,0],[1,5564,5636,1,0],[0,5596,5668,1,0],[1,5645,5717,1,0],[0,5668,5740,1,0],[1,5717,5789,1,0],[0,5740,5812,1,0],[1,5789,5861,1,0],[0,5812,5884,1,0],[1,5861,5933,1,0],[0,5909,5981,1,0],[1,5933,6005,1,0],[0,5981,6053,1,0],[1,6029,6101,1,0],[0,6061,6133,1,0],[1,6101,6173,1,0],[0,6182,6214,1,0],[1,6195,6267,1,0],[0,6220,6292,1,0],[1,6267,6339,1,0],[1,6339,6411,1,0],[0,6364,6436,1,0],[1,6411,6483,1,0],[1,6483,6555,1,0],[0,6503,6535,1,0],[1,6555,6627,1,0],[0,6580,6652,1,0],[1,6627,6699,1,0],[1,6699,6771,1,0],[0,6724,6796,1,0],[1,6771,6843,1,0],[0,6796,6868,1,0],[1,6843,6915,1,0],[0,6868,6940,1,0],[1,6915,6987,1,0],[1,6987,7059,1,0],[1,7059,7131,1,0],[1,7131,7203,1,0],[1,7203,7275,1,0],[1,7275,7347,1,0],[1,7347,7419,1,0],[0,7372,7444,1,0],[1,7419,7491,1,0],[1,7491,7563,1,0],[1,7563,7635,1,0],[0,7660,7732,1,0],[0,7876,7948,1,0]],[[0,47,119,1,0],[1,69,141,1,0],[0,173,245,1,0],[1,197,269,1,0],[1,316,388,1,0],[0,324,356,1,0],[0,356,428,1,0],[1,388,460,1,0],[1,485,557,1,0],[0,493,565,1,0],[1,604,676,1,0],[0,636,668,1,0],[0,709,781,1,0],[1,733,805,1,0],[0,806,878,1,0],[1,845,917,1,0],[0,882,954,1,0],[1,949,1021,1,0],[0,1020,1092,1,0],[1,1061,1133,1,0],[0,1164,1236,1,0],[1,1197,1269,1,0],[1,1301,1373,1,0],[0,1302,1374,1,0],[0,1374,1406,1,0],[1,1416,1488,1,0],[0,1449,1521,1,0],[1,1520,1592,1,0],[0,1521,1593,1,0],[1,1611,1683,1,0],[0,1672,1704,1,0],[0,1718,1790,1,0],[1,1736,1808,1,0],[0,1839,1911,1,0],[1,1853,1925,1,0],[1,1925,1997,1,0],[0,1958,2030,1,0],[1,2021,2093,1,0],[0,2057,2129,1,0],[1,2101,2173,1,0],[0,2129,2201,1,0],[1,2173,2245,1,0],[0,2201,2273,1,0],[1,2293,2365,1,0],[0,2342,2366,1,0],[1,2365,2437,1,0],[0,2366,2438,1,0],[1,2437,2509,1,0],[0,2468,2540,1,0],[1,2509,2581,1,0],[0,2542,2614,1,0],[1,2599,2671,1,0],[0,2614,2686,1,0],[1,2671,2743,1,0],[0,2702,2774,1,0],[1,2743,2815,1,0],[0,2792,2864,1,0],[1,2815,2887,1,0],[0,2902,2974,1,0],[1,2927,2999,1,0],[0,2974,3046,1,0],[1,2999,3071,1,0],[0,3046,3118,1,0],[1,3071,3143,1,0],[0,3138,3210,1,0],[1,3177,3249,1,0],[0,3211,3235,1,0],[0,3236,3268,1,0],[1,3249,3321,1,0],[0,3286,3358,1,0],[1,3353,3425,1,0],[0,3369,3401,1,0],[0,3404,3428,1,0],[1,3425,3497,1,0],[0,3430,3502,1,0],[0,3502,3574,1,0],[1,3521,3593,1,0],[1,3593,3665,1,0],[0,3595,3619,1,0],[0,3644,3716,1,0],[1,3665,3737,1,0],[0,3716,3788,1,0],[1,3737,3809,1,0],[0,3790,3862,1,0],[1,3809,3881,1,0],[0,3862,3934,1,0],[1,3881,3953,1,0],[0,3948,3980,1,0],[1,3953,4025,1,0],[0,4004,4076,1,0],[1,4025,4097,1,0],[0,4076,4100,1,0],[1,4097,4169,1,0],[0,4106,4178,1,0],[1,4169,4241,1,0],[0,4197,4221,1,0],[0,4223,4295,1,0],[1,4241,4313,1,0],[0,4295,4367,1,0],[1,4318,4390,1,0],[1,4390,4462,1,0],[0,4395,4467,1,0],[0,4467,4491,1,0],[1,4487,4559,1,0],[0,4492,4564,1,0],[1,4559,4631,1,0],[0,4564,4636,1,0],[1,4631,4703,1,0],[0,4636,4708,1,0],[1,4707,4779,1,0],[0,4708,4732,1,0],[0,4734,4806,1,0],[1,4779,4851,1,0],[0,4806,4830,1,0],[0,4830,4862,1,0],[1,4851,4923,1,0],[0,4876,4900,1,0],[0,4900,4972,1,0],[1,4934,5006,1,0],[0,4972,5044,1,0],[1,5006,5078,1,0],[0,5044,5116,1,0],[1,5078,5150,1,0],[0,5116,5188,1,0],[1,5150,5222,1,0],[0,5211,5235,1,0],[1,5222,5294,1,0],[0,5235,5259,1,0],[0,5260,5332,1,0],[1,5294,5366,1,0],[0,5332,5404,1,0],[1,5366,5438,1,0],[0,5420,5452,1,0],[1,5438,5510,1,0],[0,5452,5476,1,0],[0,5492,5524,1,0],[1,5510,5582,1,0],[0,5524,5596,1,0],[1,5582,5654,1,0],[0,5602,5674,1,0],[1,5654,5726,1,0],[0,5674,5746,1,0],[1,5726,5798,1,0],[0,5746,5818,1,0],[1,5798,5870,1,0],[0,5836,5908,1,0],[1,5870,5942,1,0],[0,5908,5980,1,0],[1,5942,6014,1,0],[0,6003,6035,1,0],[1,6014,6086,1,0],[0,6041,6113,1,0],[1,6091,6163,1,0],[0,6139,6171,1,0],[1,6163,6235,1,0],[0,6189,6261,1,0],[1,6235,6307,1,0],[0,6261,6333,1,0],[1,6307,6379,1,0],[1,6380,6452,1,0],[0,6381,6413,1,0],[0,6453,6485,1,0],[1,6482,6554,1,0],[0,6497,6569,1,0],[1,6554,6626,1,0],[1,6626,6698,1,0],[0,6641,6713,1,0],[1,6698,6770,1,0],[0,6807,6839,1,0],[0,6857,6929,1,0],[0,7031,7063,1,0],[0,7073,7145,1,0],[0,7289,7361,1,0],[0,7853,7877,1,0],[0,8093,8117,1,0],[0,8141,8165,1,0]],[[0,20,92,1,0],[1,69,141,1,0],[0,92,164,1,0],[0,164,236,1,0],[1,182,254,1,0],[0,236,260,1,0],[1,256,328,1,0],[0,261,333,1,0],[1,328,400,1,0],[0,333,405,1,0],[1,400,472,1,0],[0,405,429,1,0],[0,429,501,1,0],[1,472,544,1,0],[0,501,533,1,0],[0,533,605,1,0],[1,590,662,1,0],[0,607,631,1,0],[0,631,703,1,0],[1,693,765,1,0],[0,703,727,1,0],[0,727,759,1,0],[0,759,831,1,0],[1,806,878,1,0],[0,831,903,1,0],[0,903,927,1,0],[1,909,981,1,0],[0,927,959,1,0],[0,959,983,1,0],[0,983,1055,1,0],[1,1022,1094,1,0],[0,1055,1127,1,0],[1,1094,1166,1,0],[0,1127,1151,1,0],[0,1151,1223,1,0],[1,1184,1256,1,0],[0,1223,1295,1,0],[1,1256,1328,1,0],[0,1295,1367,1,0],[1,1328,1400,1,0],[0,1367,1391,1,0],[0,1391,1463,1,0],[1,1400,1472,1,0],[0,1463,1535,1,0],[1,1472,1544,1,0],[0,1535,1559,1,0],[1,1544,1616,1,0],[0,1560,1632,1,0],[0,1632,1656,1,0],[1,1648,1720,1,0],[0,1656,1728,1,0],[0,1728,1800,1,0],[1,1766,1838,1,0],[0,1800,1832,1,0],[0,1832,1904,1,0],[1,1872,1944,1,0],[0,1904,1936,1,0],[0,1936,2008,1,0],[1,1944,2016,1,0],[0,2008,2080,1,0],[1,2031,2103,1,0],[0,2080,2152,1,0],[1,2103,2175,1,0],[0,2152,2224,1,0],[1,2223,2295,1,0],[0,2224,2248,1,0],[0,2248,2320,1,0],[1,2295,2367,1,0],[0,2320,2352,1,0],[0,2352,2376,1,0],[1,2368,2440,1,0],[0,2376,2448,1,0],[1,2440,2512,1,0],[0,2448,2520,1,0],[1,2512,2584,1,0],[0,2520,2544,1,0],[0,2544,2616,1,0],[0,2616,2688,1,0],[1,2632,2704,1,0],[0,2688,2720,1,0],[1,2704,2776,1,0],[0,2720,2792,1,0],[1,2776,2848,1,0],[0,2792,2864,1,0],[0,2864,2888,1,0],[1,2880,2952,1,0],[0,2888,2960,1,0],[1,2952,3024,1,0],[0,2960,3032,1,0],[0,3032,3104,1,0],[1,3040,3112,1,0],[0,3104,3136,1,0],[1,3112,3184,1,0],[0,3136,3208,1,0],[1,3184,3256,1,0],[0,3208,3280,1,0],[1,3272,3344,1,0],[0,3280,3312,1,0],[0,3312,3384,1,0],[1,3344,3416,1,0],[0,3384,3456,1,0],[1,3416,3488,1,0],[0,3456,3480,1,0],[0,3481,3553,1,0],[1,3488,3560,1,0],[0,3553,3625,1,0],[1,3569,3641,1,0],[0,3625,3697,1,0],[1,3641,3713,1,0],[0,3697,3721,1,0],[1,3713,3785,1,0],[0,3721,3793,1,0],[1,3785,3857,1,0],[0,3793,3865,1,0],[1,3857,3929,1,0],[0,3865,3937,1,0],[0,3937,3969,1,0],[1,3947,4019,1,0],[0,3969,4041,1,0],[1,4019,4091,1,0],[0,4041,4113,1,0],[1,4091,4163,1,0],[0,4113,4145,1,0],[0,4145,4217,1,0],[1,4163,4235,1,0],[0,4217,4289,1,0],[1,4251,4323,1,0],[0,4289,4361,1,0],[1,4325,4397,1,0],[0,4371,4443,1,0],[1,4411,4483,1,0],[0,4443,4475,1,0],[0,4475,4547,1,0],[1,4483,4555,1,0],[0,4547,4619,1,0],[1,4571,4643,1,0],[0,4619,4691,1,0],[1,4643,4715,1,0],[0,4691,4763,1,0],[1,4715,4787,1,0],[1,4787,4859,1,0],[0,4803,4875,1,0],[1,4859,4931,1,0],[0,4875,4947,1,0],[1,4931,5003,1,0],[0,4950,5022,1,0],[1,5003,5075,1,0],[0,5022,5094,1,0],[1,5075,5147,1,0],[0,5126,5198,1,0],[1,5147,5219,1,0],[0,5198,5270,1,0],[1,5219,5291,1,0],[0,5270,5342,1,0],[1,5291,5363,1,0],[0,5342,5414,1,0],[1,5363,5435,1,0],[0,5414,5486,1,0],[1,5435,5507,1,0],[0,5486,5558,1,0],[1,5507,5579,1,0],[0,5558,5630,1,0],[1,5579,5651,1,0],[1,5651,5723,1,0],[0,5668,5740,1,0],[0,5740,5812,1,0],[1,5746,5818,1,0],[0,5812,5884,1,0],[1,5818,5890,1,0],[0,5884,5956,1,0],[1,5890,5962,1,0],[1,5986,6058,1,0],[0,5991,6063,1,0],[1,6058,6130,1,0],[0,6063,6135,1,0],[1,6130,6202,1,0],[1,6202,6274,1,0],[0,6207,6279,1,0],[1,6274,6346,1,0],[0,6279,6351,1,0],[1,6346,6418,1,0],[0,6351,6423,1,0],[1,6418,6490,1,0],[0,6423,6495,1,0],[1,6490,6562,1,0],[0,6495,6567,1,0],[1,6562,6634,1,0],[1,6634,6706,1,0],[1,6706,6778,1,0],[1,6778,6850,1,0],[1,6850,6922,1,0],[1,6922,6994,1,0],[0,6948,6980,1,0],[1,6994,7066,1,0],[0,7027,7099,1,0],[1,7066,7138,1,0],[1,7138,7210,1,0],[1,7210,7282,1,0],[0,7243,7315,1,0],[1,7282,7354,1,0],[1,7354,7426,1,0],[1,7426,7498,1,0],[0,7452,7484,1,0],[1,7498,7570,1,0],[0,7556,7588,1,0],[1,7570,7642,1,0],[0,7675,7747,1,0],[0,8068,8100,1,0]],[[0,15,87,1,0],[1,69,141,1,0],[0,116,188,1,0],[1,141,213,1,0],[0,217,289,1,0],[1,255,327,1,0],[1,358,430,1,0],[0,359,431,1,0],[1,430,502,1,0],[0,482,554,1,0],[1,502,574,1,0],[0,556,628,1,0],[1,598,670,1,0],[0,634,642,1,0],[0,642,650,1,0],[0,650,658,1,0],[0,658,666,1,0],[1,670,742,1,0],[0,694,766,1,0],[1,742,814,1,0],[0,782,854,1,0],[1,814,886,1,0],[1,886,958,1,0],[0,916,924,1,0],[0,924,932,1,0],[0,932,1004,1,0],[1,958,1030,1,0],[0,1047,1119,1,0],[1,1076,1148,1,0],[1,1167,1239,1,0],[0,1201,1273,1,0],[1,1241,1313,1,0],[0,1294,1366,1,0],[1,1314,1386,1,0],[0,1366,1438,1,0],[1,1386,1458,1,0],[1,1486,1558,1,0],[0,1516,1588,1,0],[1,1558,1630,1,0],[0,1593,1665,1,0],[1,1632,1704,1,0],[0,1665,1737,1,0],[1,1704,1776,1,0],[1,1776,1848,1,0],[0,1791,1799,1,0],[0,1799,1807,1,0],[0,1809,1881,1,0],[1,1849,1921,1,0],[0,1919,1991,1,0],[1,1967,2039,1,0],[0,1997,2069,1,0],[1,2041,2113,1,0],[0,2087,2159,1,0],[1,2113,2185,1,0],[1,2185,2257,1,0],[0,2231,2303,1,0],[1,2257,2329,1,0],[0,2303,2375,1,0],[1,2329,2401,1,0],[0,2385,2457,1,0],[1,2401,2473,1,0],[0,2457,2529,1,0],[1,2473,2545,1,0],[1,2545,2617,1,0],[1,2617,2689,1,0],[0,2619,2627,1,0],[0,2627,2635,1,0],[0,2639,2711,1,0],[1,2691,2763,1,0],[0,2711,2783,1,0],[1,2763,2835,1,0],[0,2819,2827,1,0],[0,2827,2835,1,0],[0,2835,2843,1,0],[0,2843,2851,1,0],[0,2855,2927,1,0],[1,2881,2953,1,0],[0,2927,2999,1,0],[1,2983,3055,1,0],[0,3071,3143,1,0],[1,3099,3171,1,0],[0,3143,3215,1,0],[1,3171,3243,1,0],[0,3218,3226,1,0],[0,3226,3234,1,0],[1,3243,3315,1,0],[0,3290,3362,1,0],[0,3362,3434,1,0],[1,3363,3435,1,0],[1,3456,3528,1,0],[0,3506,3578,1,0],[1,3528,3600,1,0],[0,3578,3650,1,0],[1,3600,3672,1,0],[0,3661,3733,1,0],[1,3672,3744,1,0],[0,3733,3805,1,0],[1,3744,3816,1,0],[1,3848,3920,1,0],[0,3877,3949,1,0],[1,3920,3992,1,0],[0,3949,3997,1,0],[1,3992,4064,1,0],[0,3997,4045,1,0],[0,4045,4117,1,0],[1,4064,4136,1,0],[0,4117,4189,1,0],[1,4154,4226,1,0],[0,4189,4261,1,0],[1,4234,4306,1,0],[0,4281,4353,1,0],[1,4323,4395,1,0],[0,4353,4425,1,0],[1,4395,4467,1,0],[0,4428,4500,1,0],[1,4467,4539,1,0],[1,4539,4611,1,0],[0,4557,4605,1,0],[0,4605,4677,1,0],[1,4660,4732,1,0],[0,4677,4749,1,0],[1,4732,4804,1,0],[0,4749,4797,1,0],[1,4804,4876,1,0],[0,4821,4869,1,0],[0,4869,4941,1,0],[1,4876,4948,1,0],[0,4941,5013,1,0],[1,4948,5020,1,0],[0,5013,5085,1,0],[1,5020,5092,1,0],[0,5085,5157,1,0],[1,5092,5164,1,0],[0,5157,5229,1,0],[1,5164,5236,1,0],[0,5229,5301,1,0],[1,5236,5308,1,0],[1,5308,5380,1,0],[0,5318,5366,1,0],[1,5380,5452,1,0],[0,5390,5438,1,0],[0,5438,5510,1,0],[1,5452,5524,1,0],[0,5510,5582,1,0],[1,5555,5627,1,0],[0,5582,5654,1,0],[1,5627,5699,1,0],[0,5654,5726,1,0],[1,5709,5781,1,0],[0,5731,5803,1,0],[1,5781,5853,1,0],[0,5803,5875,1,0],[1,5870,5942,1,0],[0,5875,5947,1,0],[0,5949,6021,1,0],[1,6016,6088,1,0],[0,6021,6093,1,0],[1,6088,6160,1,0],[0,6093,6165,1,0],[1,6232,6304,1,0],[0,6302,6350,1,0],[1,6376,6448,1,0],[0,6398,6446,1,0],[0,6494,6542,1,0],[1,6520,6592,1,0],[0,6590,6638,1,0],[1,6664,6736,1,0],[0,6686,6734,1,0],[0,6782,6830,1,0],[1,6808,6880,1,0],[0,6878,6926,1,0],[0,6950,7022,1,0],[0,7118,7166,1,0],[0,7238,7310,1,0],[0,7382,7454,1,0],[0,7670,7718,1,0]],[[0,36,108,1,0],[1,69,141,1,0],[0,108,180,1,0],[1,141,213,1,0],[0,180,228,1,0],[1,222,294,1,0],[0,228,300,1,0],[1,294,366,1,0],[0,300,372,1,0],[1,366,438,1,0],[0,372,420,1,0],[0,420,428,1,0],[0,428,500,1,0],[1,438,510,1,0],[0,500,548,1,0],[0,548,620,1,0],[1,558,630,1,0],[0,620,692,1,0],[1,630,702,1,0],[0,692,700,1,0],[0,700,772,1,0],[1,702,774,1,0],[0,772,820,1,0],[1,804,876,1,0],[0,820,828,1,0],[0,828,900,1,0],[0,900,972,1,0],[1,902,974,1,0],[0,972,1020,1,0],[1,974,1046,1,0],[0,1020,1092,1,0],[1,1046,1118,1,0],[0,1092,1164,1,0],[1,1150,1222,1,0],[0,1164,1236,1,0],[0,1236,1244,1,0],[1,1238,1310,1,0],[0,1244,1292,1,0],[0,1292,1364,1,0],[1,1310,1382,1,0],[0,1364,1436,1,0],[1,1382,1454,1,0],[0,1436,1508,1,0],[1,1454,1526,1,0],[0,1508,1556,1,0],[0,1556,1628,1,0],[1,1574,1646,1,0],[0,1628,1700,1,0],[1,1646,1718,1,0],[0,1700,1772,1,0],[1,1718,1790,1,0],[0,1772,1820,1,0],[1,1790,1862,1,0],[0,1820,1892,1,0],[1,1862,1934,1,0],[0,1892,1964,1,0],[0,1964,2036,1,0],[1,1982,2054,1,0],[0,2036,2108,1,0],[1,2054,2126,1,0],[0,2108,2156,1,0],[1,2126,2198,1,0],[0,2156,2228,1,0],[1,2198,2270,1,0],[0,2228,2300,1,0],[1,2301,2373,1,0],[0,2302,2374,1,0],[1,2373,2445,1,0],[0,2374,2382,1,0],[0,2382,2454,1,0],[1,2445,2517,1,0],[0,2454,2502,1,0],[0,2502,2510,1,0],[0,2510,2558,1,0],[1,2517,2589,1,0],[0,2558,2630,1,0],[1,2589,2661,1,0],[0,2630,2702,1,0],[1,2661,2733,1,0],[0,2702,2774,1,0],[1,2733,2805,1,0],[0,2774,2822,1,0],[1,2805,2877,1,0],[0,2822,2894,1,0],[1,2877,2949,1,0],[0,2894,2966,1,0],[0,2966,3038,1,0],[1,2998,3070,1,0],[0,3038,3110,1,0],[1,3070,3142,1,0],[0,3110,3158,1,0],[1,3142,3214,1,0],[0,3158,3230,1,0],[1,3214,3286,1,0],[0,3230,3302,1,0],[0,3302,3310,1,0],[0,3310,3382,1,0],[1,3316,3388,1,0],[0,3382,3430,1,0],[1,3388,3460,1,0],[0,3430,3502,1,0],[1,3470,3542,1,0],[0,3502,3510,1,0],[0,3510,3558,1,0],[1,3542,3614,1,0],[0,3558,3630,1,0],[1,3614,3686,1,0],[0,3630,3638,1,0],[0,3638,3686,1,0],[1,3686,3758,1,0],[0,3687,3759,1,0],[1,3758,3830,1,0],[0,3759,3767,1,0],[0,3767,3775,1,0],[0,3775,3847,1,0],[1,3830,3902,1,0],[0,3847,3855,1,0],[0,3855,3863,1,0],[0,3863,3935,1,0],[1,3902,3974,1,0],[0,3935,4007,1,0],[0,4007,4015,1,0],[0,4015,4087,1,0],[1,4022,4094,1,0],[0,4087,4159,1,0],[1,4094,4166,1,0],[0,4159,4167,1,0],[1,4166,4238,1,0],[0,4167,4175,1,0],[0,4175,4247,1,0],[1,4238,4310,1,0],[0,4247,4319,1,0],[1,4310,4382,1,0],[0,4319,4391,1,0],[1,4382,4454,1,0],[0,4424,4496,1,0],[1,4454,4526,1,0],[0,4496,4568,1,0],[1,4526,4598,1,0],[0,4575,4647,1,0],[1,4598,4670,1,0],[0,4647,4719,1,0],[1,4670,4742,1,0],[0,4734,4806,1,0],[1,4742,4814,1,0],[0,4810,4882,1,0],[1,4814,4886,1,0],[0,4882,4954,1,0],[1,4886,4958,1,0],[1,4958,5030,1,0],[0,5007,5079,1,0],[1,5030,5102,1,0],[0,5079,5151,1,0],[1,5102,5174,1,0],[0,5151,5223,1,0],[1,5174,5246,1,0],[0,5223,5295,1,0],[1,5246,5318,1,0],[0,5295,5367,1,0],[1,5318,5390,1,0],[0,5367,5439,1,0],[1,5390,5462,1,0],[0,5439,5511,1,0],[1,5462,5534,1,0],[0,5511,5583,1,0],[1,5534,5606,1,0],[0,5583,5655,1,0],[1,5606,5678,1,0],[0,5655,5727,1,0],[1,5678,5750,1,0],[0,5727,5799,1,0],[1,5750,5822,1,0],[0,5799,5871,1,0],[1,5822,5894,1,0],[0,5871,5943,1,0],[1,5894,5966,1,0],[0,5943,6015,1,0],[1,5966,6038,1,0],[0,6015,6087,1,0],[1,6038,6110,1,0],[0,6087,6159,1,0],[1,6110,6182,1,0],[0,6159,6231,1,0],[1,6182,6254,1,0],[0,6231,6303,1,0],[1,6254,6326,1,0],[0,6303,6375,1,0],[1,6326,6398,1,0],[0,6375,6447,1,0],[0,6447,6519,1,0],[1,6458,6530,1,0],[0,6519,6591,1,0],[1,6530,6602,1,0],[0,6591,6663,1,0],[1,6602,6674,1,0],[0,6663,6735,1,0],[1,6674,6746,1,0],[0,6735,6807,1,0],[1,6746,6818,1,0],[1,6818,6890,1,0],[1,6890,6962,1,0],[1,6962,7034,1,0],[1,7034,7106,1,0],[1,7106,7178,1,0],[1,7178,7250,1,0],[1,7250,7322,1,0],[1,7322,7394,1,0],[1,7394,7466,1,0]],[[0,13,85,1,0],[1,69,141,1,0],[0,119,191,1,0],[1,141,213,1,0],[1,213,285,1,0],[0,218,290,1,0],[0,293,365,1,0],[1,325,397,1,0],[1,428,500,1,0],[0,434,506,1,0],[1,500,572,1,0],[0,527,599,1,0],[1,572,644,1,0],[1,646,718,1,0],[0,671,743,1,0],[1,718,790,1,0],[1,790,862,1,0],[0,815,887,1,0],[1,862,934,1,0],[1,934,1006,1,0],[0,959,1031,1,0],[1,1009,1081,1,0],[0,1056,1128,1,0],[1,1111,1183,1,0],[0,1128,1200,1,0],[1,1183,1255,1,0],[0,1216,1224,1,0],[0,1224,1232,1,0],[0,1232,1240,1,0],[0,1240,1248,1,0],[1,1255,1327,1,0],[0,1290,1362,1,0],[1,1327,1399,1,0],[0,1363,1435,1,0],[1,1429,1501,1,0],[0,1506,1578,1,0],[1,1527,1599,1,0],[0,1582,1654,1,0],[1,1621,1693,1,0],[1,1693,1765,1,0],[0,1698,1706,1,0],[0,1723,1795,1,0],[1,1768,1840,1,0],[0,1824,1896,1,0],[1,1840,1912,1,0],[0,1905,1977,1,0],[1,1958,2030,1,0],[1,2030,2102,1,0],[0,2057,2129,1,0],[0,2129,2201,1,0],[1,2150,2222,1,0],[0,2216,2288,1,0],[1,2231,2303,1,0],[0,2288,2296,1,0],[0,2296,2304,1,0],[1,2303,2375,1,0],[0,2304,2312,1,0],[0,2327,2399,1,0],[1,2378,2450,1,0],[0,2399,2471,1,0],[0,2472,2480,1,0],[1,2479,2551,1,0],[0,2512,2520,1,0],[0,2520,2528,1,0],[0,2528,2536,1,0],[0,2536,2544,1,0],[1,2559,2631,1,0],[0,2592,2664,1,0],[1,2631,2703,1,0],[0,2666,2738,1,0],[1,2703,2775,1,0],[0,2738,2810,1,0],[1,2823,2895,1,0],[0,2848,2856,1,0],[0,2856,2864,1,0],[0,2888,2896,1,0],[1,2895,2967,1,0],[0,2914,2986,1,0],[1,2967,3039,1,0],[0,2994,3066,1,0],[1,3039,3111,1,0],[0,3074,3146,1,0],[1,3111,3183,1,0],[0,3152,3224,1,0],[1,3231,3303,1,0],[0,3232,3304,1,0],[1,3351,3423,1,0],[0,3378,3450,1,0],[0,3450,3522,1,0],[1,3471,3543,1,0],[0,3522,3594,1,0],[1,3559,3631,1,0],[1,3631,3703,1,0],[0,3675,3747,1,0],[1,3703,3775,1,0],[0,3748,3796,1,0],[1,3794,3866,1,0],[0,3796,3868,1,0],[1,3866,3938,1,0],[0,3868,3940,1,0],[1,3938,4010,1,0],[0,3940,4012,1,0],[1,4012,4084,1,0],[0,4013,4085,1,0],[1,4098,4170,1,0],[0,4125,4197,1,0],[1,4170,4242,1,0],[0,4205,4277,1,0],[1,4282,4354,1,0],[0,4287,4359,1,0],[1,4354,4426,1,0],[0,4359,4431,1,0],[1,4437,4509,1,0],[0,4445,4517,1,0],[0,4517,4589,1,0],[1,4526,4598,1,0],[1,4598,4670,1,0],[0,4603,4675,1,0],[1,4670,4742,1,0],[0,4676,4748,1,0],[1,4743,4815,1,0],[0,4788,4836,1,0],[1,4815,4887,1,0],[0,4836,4908,1,0],[1,4897,4969,1,0],[0,4908,4980,1,0],[1,4971,5043,1,0],[0,4980,5052,1,0],[0,5052,5124,1,0],[1,5069,5141,1,0],[1,5141,5213,1,0],[0,5150,5198,1,0],[1,5213,5285,1,0],[0,5214,5286,1,0],[1,5285,5357,1,0],[0,5300,5348,1,0],[0,5348,5396,1,0],[1,5385,5457,1,0],[0,5396,5468,1,0],[1,5458,5530,1,0],[0,5469,5541,1,0],[1,5530,5602,1,0],[0,5541,5613,1,0],[1,5602,5674,1,0],[0,5613,5685,1,0],[1,5674,5746,1,0],[0,5685,5757,1,0],[1,5746,5818,1,0],[0,5804,5852,1,0],[1,5818,5890,1,0],[0,5852,5924,1,0],[1,5890,5962,1,0],[0,5924,5996,1,0],[1,5980,6052,1,0],[0,6004,6052,1,0],[0,6052,6124,1,0],[1,6075,6147,1,0],[0,6124,6196,1,0],[0,6196,6268,1,0],[1,6219,6291,1,0],[0,6308,6380,1,0],[1,6363,6435,1,0],[0,6380,6452,1,0],[1,6507,6579,1,0],[1,6579,6651,1,0],[1,6651,6723,1,0],[1,6723,6795,1,0],[0,6767,6815,1,0],[0,6863,6911,1,0],[0,6959,7007,1,0],[0,7055,7103,1,0],[0,7151,7199,1,0],[0,7247,7295,1,0],[0,7391,7439,1,0],[0,7535,7583,1,0],[0,7679,7727,1,0]],[[0,35,107,1,0],[1,69,141,1,0],[0,107,179,1,0],[1,141,213,1,0],[0,179,227,1,0],[1,222,294,1,0],[0,227,299,1,0],[1,294,366,1,0],[0,299,371,1,0],[1,366,438,1,0],[0,371,443,1,0],[0,443,491,1,0],[1,486,558,1,0],[0,491,563,1,0],[1,558,630,1,0],[0,563,635,1,0],[1,630,702,1,0],[0,635,683,1,0],[0,684,692,1,0],[0,692,764,1,0],[1,702,774,1,0],[0,764,836,1,0],[1,774,846,1,0],[0,836,884,1,0],[0,884,892,1,0],[0,892,964,1,0],[1,894,966,1,0],[0,964,1036,1,0],[1,966,1038,1,0],[0,1036,1108,1,0],[1,1038,1110,1,0],[0,1108,1156,1,0],[1,1110,1182,1,0],[0,1156,1228,1,0],[1,1215,1287,1,0],[0,1228,1236,1,0],[0,1236,1308,1,0],[1,1302,1374,1,0],[0,1308,1356,1,0],[0,1356,1428,1,0],[1,1374,1446,1,0],[0,1428,1436,1,0],[0,1436,1508,1,0],[1,1446,1518,1,0],[0,1508,1556,1,0],[1,1518,1590,1,0],[0,1556,1628,1,0],[1,1623,1695,1,0],[0,1628,1700,1,0],[0,1700,1772,1,0],[1,1710,1782,1,0],[0,1772,1820,1,0],[1,1782,1854,1,0],[0,1820,1892,1,0],[1,1854,1926,1,0],[0,1892,1964,1,0],[1,1926,1998,1,0],[0,1964,2036,1,0],[1,2000,2072,1,0],[0,2036,2084,1,0],[0,2084,2156,1,0],[1,2103,2175,1,0],[0,2156,2228,1,0],[1,2175,2247,1,0],[0,2228,2300,1,0],[1,2262,2334,1,0],[0,2300,2348,1,0],[1,2334,2406,1,0],[0,2348,2420,1,0],[1,2406,2478,1,0],[0,2420,2492,1,0],[1,2478,2550,1,0],[0,2492,2564,1,0],[0,2564,2572,1,0],[0,2572,2644,1,0],[1,2598,2670,1,0],[0,2644,2692,1,0],[1,2672,2744,1,0],[0,2692,2764,1,0],[1,2744,2816,1,0],[0,2764,2836,1,0],[1,2816,2888,1,0],[0,2836,2908,1,0],[0,2908,2980,1,0],[1,2934,3006,1,0],[0,2980,3028,1,0],[1,3006,3078,1,0],[0,3028,3100,1,0],[1,3078,3150,1,0],[0,3100,3172,1,0],[1,3150,3222,1,0],[0,3172,3244,1,0],[0,3244,3316,1,0],[1,3271,3343,1,0],[0,3316,3388,1,0],[1,3343,3415,1,0],[0,3388,3396,1,0],[0,3396,3468,1,0],[1,3415,3487,1,0],[0,3468,3476,1,0],[0,3476,3524,1,0],[1,3487,3559,1,0],[0,3524,3532,1,0],[0,3532,3580,1,0],[1,3560,3632,1,0],[0,3580,3588,1,0],[0,3588,3660,1,0],[1,3632,3704,1,0],[0,3660,3668,1,0],[0,3668,3740,1,0],[1,3704,3776,1,0],[0,3740,3748,1,0],[0,3748,3820,1,0],[1,3776,3848,1,0],[0,3820,3828,1,0],[0,3828,3900,1,0],[1,3875,3947,1,0],[0,3900,3908,1,0],[0,3908,3980,1,0],[1,3947,4019,1,0],[0,3980,3988,1,0],[0,3988,4060,1,0],[1,4019,4091,1,0],[0,4060,4068,1,0],[0,4068,4076,1,0],[0,4076,4124,1,0],[1,4091,4163,1,0],[0,4124,4172,1,0],[1,4163,4235,1,0],[0,4172,4244,1,0],[1,4235,4307,1,0],[0,4244,4316,1,0],[1,4307,4379,1,0],[0,4324,4396,1,0],[1,4379,4451,1,0],[0,4396,4468,1,0],[1,4451,4523,1,0],[0,4478,4550,1,0],[1,4523,4595,1,0],[0,4575,4647,1,0],[1,4642,4714,1,0],[0,4647,4719,1,0],[1,4714,4786,1,0],[0,4721,4793,1,0],[1,4786,4858,1,0],[0,4820,4892,1,0],[1,4879,4951,1,0],[0,4892,4964,1,0],[1,4951,5023,1,0],[0,4970,5042,1,0],[1,5023,5095,1,0],[0,5046,5118,1,0],[1,5096,5168,1,0],[0,5118,5190,1,0],[1,5168,5240,1,0],[1,5241,5313,1,0],[0,5258,5330,1,0],[1,5313,5385,1,0],[0,5330,5402,1,0],[1,5385,5457,1,0],[0,5402,5474,1,0],[1,5457,5529,1,0],[0,5474,5546,1,0],[1,5529,5601,1,0],[0,5546,5618,1,0],[1,5601,5673,1,0],[0,5618,5690,1,0],[1,5673,5745,1,0],[0,5694,5766,1,0],[1,5745,5817,1,0],[0,5766,5838,1,0],[1,5817,5889,1,0],[0,5838,5910,1,0],[1,5889,5961,1,0],[0,5910,5982,1,0],[1,5961,6033,1,0],[1,6033,6105,1,0],[0,6040,6112,1,0],[1,6105,6177,1,0],[0,6112,6184,1,0],[1,6177,6249,1,0],[0,6184,6256,1,0],[1,6249,6321,1,0],[0,6256,6328,1,0],[1,6321,6393,1,0],[0,6328,6400,1,0],[1,6393,6465,1,0],[0,6400,6472,1,0],[1,6465,6537,1,0],[0,6472,6544,1,0],[1,6537,6609,1,0],[0,6544,6616,1,0],[1,6609,6681,1,0],[0,6616,6688,1,0],[1,6681,6753,1,0],[0,6688,6760,1,0],[1,6753,6825,1,0],[1,6844,6916,1,0],[1,6916,6988,1,0],[1,6988,7060,1,0],[1,7060,7132,1,0],[1,7132,7204,1,0],[1,7204,7276,1,0],[1,7276,7348,1,0],[1,7348,7420,1,0],[1,7420,7492,1,0],[0,7454,7526,1,0],[0,7526,7598,1,0]],[[0,44,116,1,0],[1,69,141,1,0],[1,141,213,1,0],[0,178,242,1,0],[1,214,286,1,0],[0,257,329,1,0],[1,286,358,1,0],[0,329,393,1,0],[1,358,430,1,0],[0,401,473,1,0],[1,430,502,1,0],[1,502,574,1,0],[0,521,585,1,0],[1,574,646,1,0],[0,593,665,1,0],[0,665,737,1,0],[1,695,767,1,0],[1,767,839,1,0],[0,785,857,1,0],[1,839,911,1,0],[0,861,933,1,0],[1,911,983,1,0],[0,933,1005,1,0],[0,1005,1077,1,0],[1,1015,1087,1,0],[1,1103,1175,1,0],[0,1145,1217,1,0],[1,1193,1265,1,0],[0,1247,1311,1,0],[1,1297,1369,1,0],[0,1345,1417,1,0],[1,1369,1441,1,0],[0,1417,1489,1,0],[1,1441,1513,1,0],[1,1513,1585,1,0],[0,1527,1591,1,0],[1,1585,1657,1,0],[0,1591,1655,1,0],[1,1657,1729,1,0],[0,1686,1758,1,0],[1,1729,1801,1,0],[0,1787,1851,1,0],[1,1835,1907,1,0],[0,1877,1949,1,0],[1,1907,1979,1,0],[0,1961,2033,1,0],[1,1979,2051,1,0],[1,2051,2123,1,0],[0,2071,2135,1,0],[1,2123,2195,1,0],[0,2135,2199,1,0],[1,2195,2267,1,0],[0,2200,2264,1,0],[0,2264,2336,1,0],[1,2267,2339,1,0],[0,2343,2407,1,0],[1,2391,2463,1,0],[0,2471,2535,1,0],[1,2515,2587,1,0],[0,2552,2624,1,0],[1,2587,2659,1,0],[1,2659,2731,1,0],[0,2693,2765,1,0],[1,2731,2803,1,0],[0,2765,2837,1,0],[1,2803,2875,1,0],[0,2840,2912,1,0],[1,2927,2999,1,0],[0,2942,3014,1,0],[1,2999,3071,1,0],[0,3014,3078,1,0],[1,3071,3143,1,0],[0,3105,3177,1,0],[1,3145,3217,1,0],[0,3177,3249,1,0],[1,3217,3289,1,0],[0,3287,3351,1,0],[1,3335,3407,1,0],[0,3351,3415,1,0],[1,3407,3479,1,0],[0,3446,3518,1,0],[1,3479,3551,1,0],[1,3551,3623,1,0],[0,3577,3649,1,0],[1,3623,3695,1,0],[1,3695,3767,1,0],[0,3713,3785,1,0],[0,3785,3849,1,0],[1,3815,3887,1,0],[0,3865,3937,1,0],[1,3887,3959,1,0],[0,3937,4009,1,0],[1,3959,4031,1,0],[1,4031,4103,1,0],[1,4103,4175,1,0],[0,4125,4197,1,0],[1,4175,4247,1,0],[0,4197,4261,1,0],[0,4261,4325,1,0],[1,4311,4383,1,0],[1,4383,4455,1,0],[0,4417,4489,1,0],[0,4489,4561,1,0],[1,4503,4575,1,0],[0,4561,4633,1,0],[1,4599,4671,1,0],[0,4637,4709,1,0],[1,4679,4751,1,0],[0,4737,4801,1,0],[1,4751,4823,1,0],[0,4801,4873,1,0],[1,4823,4895,1,0],[0,4873,4937,1,0],[1,4895,4967,1,0],[0,4937,5001,1,0],[1,5001,5073,1,0],[0,5002,5066,1,0],[0,5066,5130,1,0],[1,5073,5145,1,0],[0,5130,5202,1,0],[1,5145,5217,1,0],[0,5202,5274,1,0],[1,5217,5289,1,0],[0,5274,5346,1,0],[1,5289,5361,1,0],[0,5346,5418,1,0],[1,5361,5433,1,0],[0,5418,5490,1,0],[1,5433,5505,1,0],[0,5490,5562,1,0],[1,5505,5577,1,0],[1,5577,5649,1,0],[1,5649,5721,1,0],[0,5650,5714,1,0],[0,5714,5778,1,0],[1,5721,5793,1,0],[1,5793,5865,1,0],[0,5801,5873,1,0],[1,5865,5937,1,0],[0,5873,5945,1,0],[1,5937,6009,1,0],[0,5945,6017,1,0],[1,6009,6081,1,0],[0,6017,6089,1,0],[1,6081,6153,1,0],[0,6089,6161,1,0],[0,6161,6233,1,0],[1,6225,6297,1,0],[1,6369,6441,1,0],[0,6493,6565,1,0],[1,6513,6585,1,0],[1,6585,6657,1,0],[0,6637,6709,1,0],[0,6869,6933,1,0],[0,7061,7125,1,0],[0,7253,7317,1,0],[0,7445,7509,1,0],[0,7701,7765,1,0],[0,7957,8021,1,0],[0,8213,8277,1,0]],[[0,19,91,1,0],[1,69,133,1,0],[0,91,163,1,0],[1,133,197,1,0],[0,163,235,1,0],[1,229,293,1,0],[0,236,308,1,0],[0,308,372,1,0],[1,325,389,1,0],[0,372,436,1,0],[1,421,485,1,0],[0,436,500,1,0],[0,500,572,1,0],[1,517,581,1,0],[0,572,644,1,0],[1,613,677,1,0],[0,644,708,1,0],[1,709,773,1,0],[0,710,782,1,0],[0,782,854,1,0],[1,805,869,1,0],[0,854,918,1,0],[1,901,965,1,0],[0,918,982,1,0],[0,982,1046,1,0],[1,997,1061,1,0],[0,1046,1118,1,0],[1,1093,1157,1,0],[0,1118,1182,1,0],[0,1182,1254,1,0],[1,1189,1253,1,0],[0,1254,1326,1,0],[1,1285,1349,1,0],[0,1326,1398,1,0],[1,1381,1445,1,0],[0,1398,1462,1,0],[0,1462,1526,1,0],[1,1477,1541,1,0],[0,1526,1590,1,0],[1,1573,1637,1,0],[0,1590,1662,1,0],[0,1662,1726,1,0],[1,1669,1733,1,0],[0,1726,1790,1,0],[1,1765,1829,1,0],[0,1790,1854,1,0],[0,1854,1918,1,0],[1,1861,1925,1,0],[0,1918,1990,1,0],[1,1957,2021,1,0],[0,1990,2062,1,0],[1,2053,2117,1,0],[0,2064,2128,1,0],[0,2128,2192,1,0],[1,2149,2213,1,0],[0,2192,2264,1,0],[1,2245,2309,1,0],[0,2264,2336,1,0],[0,2338,2410,1,0],[1,2341,2405,1,0],[0,2410,2474,1,0],[1,2437,2501,1,0],[0,2474,2538,1,0],[1,2533,2597,1,0],[0,2538,2602,1,0],[0,2602,2666,1,0],[1,2629,2693,1,0],[0,2666,2738,1,0],[1,2725,2789,1,0],[0,2738,2802,1,0],[0,2802,2874,1,0],[1,2821,2885,1,0],[0,2874,2938,1,0],[1,2917,2981,1,0],[0,2939,3003,1,0],[0,3003,3067,1,0],[1,3013,3077,1,0],[0,3067,3139,1,0],[1,3077,3141,1,0],[0,3139,3211,1,0],[1,3141,3205,1,0],[1,3205,3269,1,0],[0,3211,3283,1,0],[1,3269,3333,1,0],[0,3283,3347,1,0],[1,3333,3397,1,0],[0,3347,3419,1,0],[1,3397,3461,1,0],[0,3419,3483,1,0],[1,3461,3525,1,0],[0,3483,3555,1,0],[1,3525,3589,1,0],[0,3555,3627,1,0],[1,3589,3653,1,0],[0,3627,3691,1,0],[1,3653,3717,1,0],[0,3693,3765,1,0],[1,3717,3781,1,0],[0,3765,3829,1,0],[1,3781,3845,1,0],[0,3829,3901,1,0],[1,3845,3909,1,0],[0,3901,3973,1,0],[1,3909,3973,1,0],[1,3973,4037,1,0],[0,3974,4038,1,0],[1,4037,4101,1,0],[0,4038,4110,1,0],[1,4101,4165,1,0],[0,4126,4190,1,0],[1,4165,4229,1,0],[0,4190,4254,1,0],[1,4229,4293,1,0],[0,4270,4342,1,0],[1,4293,4357,1,0],[0,4342,4414,1,0],[1,4357,4421,1,0],[0,4414,4486,1,0],[1,4421,4485,1,0],[1,4485,4549,1,0],[0,4486,4558,1,0],[1,4549,4613,1,0],[0,4558,4630,1,0],[1,4613,4677,1,0],[0,4630,4702,1,0],[1,4677,4741,1,0],[0,4702,4774,1,0],[1,4741,4805,1,0],[0,4774,4846,1,0],[1,4805,4869,1,0],[0,4846,4918,1,0],[1,4869,4933,1,0],[0,4918,4990,1,0],[1,4933,4997,1,0],[0,4990,5062,1,0],[1,4997,5061,1,0],[1,5061,5125,1,0],[0,5062,5134,1,0],[1,5125,5189,1,0],[0,5134,5206,1,0],[1,5189,5253,1,0],[0,5206,5278,1,0],[1,5253,5317,1,0],[0,5278,5350,1,0],[1,5317,5381,1,0],[0,5350,5422,1,0],[1,5381,5445,1,0],[0,5422,5494,1,0],[1,5445,5509,1,0],[0,5494,5566,1,0],[1,5509,5573,1,0],[0,5566,5638,1,0],[1,5573,5637,1,0],[1,5637,5701,1,0],[0,5638,5710,1,0],[1,5701,5765,1,0],[0,5710,5782,1,0],[1,5765,5829,1,0],[0,5782,5854,1,0],[1,5829,5893,1,0],[0,5854,5926,1,0],[1,5893,5957,1,0],[0,5926,5998,1,0],[1,5957,6021,1,0],[0,5998,6070,1,0],[1,6021,6085,1,0],[0,6070,6142,1,0],[1,6085,6149,1,0],[0,6142,6214,1,0],[1,6149,6213,1,0],[1,6213,6277,1,0],[0,6214,6286,1,0],[1,6277,6341,1,0],[0,6286,6358,1,0],[1,6341,6405,1,0],[0,6358,6430,1,0],[1,6405,6469,1,0],[0,6430,6502,1,0],[1,6469,6533,1,0],[0,6502,6574,1,0],[1,6533,6597,1,0],[0,6574,6646,1,0],[1,6597,6661,1,0],[0,6646,6718,1,0],[1,6661,6725,1,0],[1,6725,6789,1,0],[1,6789,6853,1,0],[1,6853,6917,1,0],[1,6917,6981,1,0],[1,6981,7045,1,0],[1,7045,7109,1,0],[1,7109,7173,1,0]],[[0,47,119,1,0],[1,69,141,1,0],[1,141,213,1,0],[0,182,254,1,0],[1,213,285,1,0],[0,256,328,1,0],[1,285,357,1,0],[0,328,400,1,0],[1,357,429,1,0],[1,429,501,1,0],[0,448,512,1,0],[1,501,573,1,0],[0,520,592,1,0],[0,592,664,1,0],[1,621,693,1,0],[0,672,744,1,0],[1,693,765,1,0],[1,765,837,1,0],[0,784,848,1,0],[1,837,909,1,0],[0,848,920,1,0],[1,909,981,1,0],[0,920,992,1,0],[0,1000,1072,1,0],[1,1029,1101,1,0],[0,1072,1144,1,0],[1,1101,1173,1,0],[1,1173,1245,1,0],[0,1208,1280,1,0],[1,1245,1317,1,0],[0,1312,1376,1,0],[1,1350,1422,1,0],[0,1408,1480,1,0],[1,1422,1494,1,0],[0,1480,1544,1,0],[1,1501,1573,1,0],[0,1544,1608,1,0],[1,1573,1645,1,0],[0,1608,1672,1,0],[1,1645,1717,1,0],[1,1717,1789,1,0],[0,1744,1816,1,0],[1,1789,1861,1,0],[0,1816,1888,1,0],[0,1888,1952,1,0],[1,1894,1966,1,0],[1,1966,2038,1,0],[0,1999,2071,1,0],[1,2053,2125,1,0],[0,2080,2144,1,0],[1,2125,2197,1,0],[0,2144,2208,1,0],[1,2197,2269,1,0],[0,2222,2294,1,0],[1,2269,2341,1,0],[0,2294,2366,1,0],[0,2368,2440,1,0],[1,2374,2446,1,0],[1,2461,2533,1,0],[0,2496,2560,1,0],[1,2533,2605,1,0],[0,2568,2640,1,0],[1,2609,2681,1,0],[0,2640,2712,1,0],[1,2681,2753,1,0],[1,2753,2825,1,0],[0,2767,2839,1,0],[1,2825,2897,1,0],[0,2839,2911,1,0],[0,2922,2994,1,0],[1,2926,2998,1,0],[1,2998,3070,1,0],[0,3040,3112,1,0],[1,3070,3142,1,0],[0,3112,3184,1,0],[1,3142,3214,1,0],[1,3214,3286,1,0],[0,3247,3319,1,0],[1,3286,3358,1,0],[0,3319,3391,1,0],[1,3406,3478,1,0],[0,3449,3521,1,0],[1,3478,3550,1,0],[1,3550,3622,1,0],[0,3573,3637,1,0],[1,3622,3694,1,0],[0,3650,3722,1,0],[1,3694,3766,1,0],[0,3722,3794,1,0],[1,3766,3838,1,0],[1,3838,3910,1,0],[0,3866,3938,1,0],[1,3910,3982,1,0],[0,3938,4010,1,0],[1,3982,4054,1,0],[0,4052,4116,1,0],[1,4054,4126,1,0],[1,4126,4198,1,0],[0,4131,4203,1,0],[1,4228,4300,1,0],[0,4269,4341,1,0],[1,4300,4372,1,0],[0,4341,4413,1,0],[1,4372,4444,1,0],[0,4429,4493,1,0],[1,4444,4516,1,0],[0,4493,4557,1,0],[1,4516,4588,1,0],[0,4557,4621,1,0],[1,4588,4660,1,0],[0,4621,4693,1,0],[1,4662,4734,1,0],[0,4724,4788,1,0],[1,4765,4837,1,0],[0,4788,4852,1,0],[0,4852,4916,1,0],[1,4858,4930,1,0],[0,4916,4988,1,0],[1,4930,5002,1,0],[1,5002,5074,1,0],[0,5013,5085,1,0],[1,5094,5166,1,0],[0,5130,5202,1,0],[1,5173,5245,1,0],[0,5202,5266,1,0],[1,5245,5317,1,0],[0,5266,5330,1,0],[1,5362,5434,1,0],[0,5394,5458,1,0],[1,5434,5506,1,0],[0,5458,5530,1,0],[1,5506,5578,1,0],[0,5530,5602,1,0],[1,5627,5699,1,0],[0,5635,5707,1,0],[1,5699,5771,1,0],[0,5707,5779,1,0],[1,5771,5843,1,0],[0,5779,5851,1,0],[1,5843,5915,1,0],[0,5890,5962,1,0],[1,5929,6001,1,0],[0,5962,6034,1,0],[1,6003,6075,1,0],[0,6034,6106,1,0],[1,6075,6147,1,0],[1,6219,6291,1,0],[0,6292,6356,1,0],[1,6363,6435,1,0],[0,6422,6486,1,0],[1,6507,6579,1,0],[0,6550,6614,1,0],[0,6678,6742,1,0],[0,6806,6870,1,0],[0,6934,6998,1,0],[0,7062,7126,1,0],[0,7254,7318,1,0],[0,7510,7574,1,0],[0,7766,7830,1,0],[0,8022,8086,1,0]],[[0,18,90,1,0],[1,69,133,1,0],[0,90,162,1,0],[1,133,197,1,0],[0,162,234,1,0],[1,229,293,1,0],[0,234,306,1,0],[0,306,378,1,0],[1,329,393,1,0],[0,378,442,1,0],[1,425,489,1,0],[0,442,506,1,0],[0,506,570,1,0],[1,521,585,1,0],[0,570,642,1,0],[1,617,681,1,0],[0,642,706,1,0],[0,706,778,1,0],[1,713,777,1,0],[0,778,850,1,0],[1,809,873,1,0],[0,850,914,1,0],[1,901,965,1,0],[0,914,978,1,0],[1,967,1031,1,0],[0,978,1042,1,0],[0,1042,1114,1,0],[1,1065,1129,1,0],[0,1114,1178,1,0],[1,1157,1221,1,0],[0,1178,1250,1,0],[1,1242,1306,1,0],[0,1250,1314,1,0],[0,1314,1386,1,0],[1,1321,1385,1,0],[0,1386,1450,1,0],[1,1417,1481,1,0],[0,1450,1514,1,0],[1,1513,1577,1,0],[0,1514,1586,1,0],[0,1586,1658,1,0],[1,1609,1673,1,0],[0,1658,1722,1,0],[1,1705,1769,1,0],[0,1722,1794,1,0],[0,1794,1866,1,0],[1,1801,1865,1,0],[0,1866,1930,1,0],[1,1897,1961,1,0],[0,1930,2002,1,0],[1,1989,2053,1,0],[0,2002,2066,1,0],[1,2053,2117,1,0],[0,2066,2138,1,0],[1,2117,2181,1,0],[0,2138,2210,1,0],[0,2210,2274,1,0],[1,2213,2277,1,0],[0,2274,2346,1,0],[1,2309,2373,1,0],[0,2346,2410,1,0],[1,2373,2437,1,0],[0,2410,2474,1,0],[1,2437,2501,1,0],[0,2474,2546,1,0],[1,2501,2565,1,0],[0,2546,2610,1,0],[1,2565,2629,1,0],[0,2610,2682,1,0],[1,2629,2693,1,0],[0,2682,2746,1,0],[1,2699,2763,1,0],[0,2746,2818,1,0],[1,2786,2850,1,0],[0,2818,2882,1,0],[1,2859,2923,1,0],[0,2882,2946,1,0],[0,2946,3018,1,0],[1,2955,3019,1,0],[0,3018,3082,1,0],[1,3021,3085,1,0],[0,3082,3154,1,0],[1,3085,3149,1,0],[1,3149,3213,1,0],[0,3154,3218,1,0],[1,3213,3277,1,0],[0,3218,3282,1,0],[1,3277,3341,1,0],[0,3282,3346,1,0],[1,3341,3405,1,0],[0,3346,3418,1,0],[1,3405,3469,1,0],[0,3418,3490,1,0],[1,3469,3533,1,0],[0,3490,3562,1,0],[1,3533,3597,1,0],[0,3562,3626,1,0],[1,3597,3661,1,0],[0,3626,3698,1,0],[1,3661,3725,1,0],[0,3698,3762,1,0],[1,3725,3789,1,0],[0,3762,3826,1,0],[1,3789,3853,1,0],[0,3827,3899,1,0],[1,3853,3917,1,0],[0,3899,3971,1,0],[1,3917,3981,1,0],[0,3971,4035,1,0],[1,3981,4045,1,0],[0,4035,4107,1,0],[1,4045,4109,1,0],[0,4107,4179,1,0],[1,4110,4174,1,0],[1,4174,4238,1,0],[0,4179,4243,1,0],[1,4238,4302,1,0],[0,4243,4315,1,0],[1,4302,4366,1,0],[0,4315,4379,1,0],[1,4366,4430,1,0],[0,4379,4451,1,0],[1,4430,4494,1,0],[0,4451,4523,1,0],[1,4494,4558,1,0],[0,4523,4587,1,0],[0,4587,4659,1,0],[1,4598,4662,1,0],[0,4659,4731,1,0],[1,4662,4726,1,0],[1,4726,4790,1,0],[0,4731,4803,1,0],[0,4803,4875,1,0],[1,4814,4878,1,0],[0,4875,4947,1,0],[1,4890,4954,1,0],[0,4947,5019,1,0],[1,4954,5018,1,0],[1,5018,5082,1,0],[0,5019,5091,1,0],[1,5082,5146,1,0],[0,5091,5163,1,0],[1,5148,5212,1,0],[0,5163,5235,1,0],[1,5212,5276,1,0],[0,5235,5307,1,0],[1,5276,5340,1,0],[0,5307,5379,1,0],[1,5340,5404,1,0],[0,5379,5451,1,0],[1,5404,5468,1,0],[0,5451,5523,1,0],[1,5468,5532,1,0],[0,5523,5595,1,0],[1,5532,5596,1,0],[1,5596,5660,1,0],[0,5597,5669,1,0],[0,5669,5741,1,0],[1,5678,5742,1,0],[1,5742,5806,1,0],[0,5743,5815,1,0],[1,5806,5870,1,0],[0,5815,5887,1,0],[1,5870,5934,1,0],[0,5887,5959,1,0],[1,5934,5998,1,0],[0,5959,6031,1,0],[1,5998,6062,1,0],[0,6031,6103,1,0],[1,6062,6126,1,0],[0,6103,6175,1,0],[1,6126,6190,1,0],[0,6175,6247,1,0],[1,6190,6254,1,0],[0,6247,6319,1,0],[1,6254,6318,1,0],[1,6318,6382,1,0],[0,6319,6391,1,0],[1,6382,6446,1,0],[0,6391,6463,1,0],[1,6446,6510,1,0],[0,6463,6535,1,0],[1,6510,6574,1,0],[1,6574,6638,1,0],[1,6638,6702,1,0],[1,6702,6766,1,0],[1,6766,6830,1,0],[1,6830,6894,1,0],[1,6894,6958,1,0],[1,6958,7022,1,0],[0,7107,7179,1,0],[0,7251,7323,1,0]],[[0,15,47,1,0],[0,47,111,1,0],[1,69,133,1,0],[0,111,175,1,0],[1,133,197,1,0],[0,175,239,1,0],[1,198,262,1,0],[1,262,326,1,0],[0,278,342,1,0],[0,342,406,1,0],[1,358,422,1,0],[0,406,470,1,0],[1,454,518,1,0],[0,483,515,1,0],[0,520,584,1,0],[1,550,614,1,0],[0,610,674,1,0],[1,646,710,1,0],[0,675,739,1,0],[1,742,806,1,0],[0,753,785,1,0],[0,803,867,1,0],[1,838,902,1,0],[0,900,964,1,0],[1,934,998,1,0],[0,964,1028,1,0],[0,1028,1092,1,0],[1,1030,1094,1,0],[1,1126,1190,1,0],[0,1137,1169,1,0],[0,1169,1233,1,0],[1,1222,1286,1,0],[0,1233,1297,1,0],[1,1318,1382,1,0],[0,1329,1361,1,0],[0,1361,1425,1,0],[1,1414,1478,1,0],[0,1425,1489,1,0],[1,1510,1574,1,0],[0,1521,1553,1,0],[0,1553,1617,1,0],[1,1606,1670,1,0],[0,1617,1681,1,0],[1,1702,1766,1,0],[0,1713,1745,1,0],[0,1745,1809,1,0],[1,1798,1862,1,0],[0,1809,1841,1,0],[0,1842,1906,1,0],[1,1894,1958,1,0],[0,1906,1970,1,0],[0,1970,2034,1,0],[1,1990,2054,1,0],[0,2034,2098,1,0],[1,2086,2150,1,0],[0,2098,2162,1,0],[0,2162,2226,1,0],[1,2182,2246,1,0],[0,2226,2290,1,0],[1,2278,2342,1,0],[0,2292,2324,1,0],[0,2324,2388,1,0],[1,2374,2438,1,0],[0,2388,2452,1,0],[0,2452,2516,1,0],[1,2470,2534,1,0],[0,2516,2580,1,0],[1,2566,2630,1,0],[0,2580,2644,1,0],[0,2644,2708,1,0],[1,2662,2726,1,0],[0,2708,2772,1,0],[1,2758,2822,1,0],[0,2772,2836,1,0],[0,2836,2900,1,0],[1,2854,2918,1,0],[0,2900,2964,1,0],[1,2950,3014,1,0],[0,2964,3028,1,0],[1,3014,3078,1,0],[0,3028,3060,1,0],[0,3060,3124,1,0],[1,3110,3174,1,0],[0,3124,3188,1,0],[1,3174,3238,1,0],[0,3192,3256,1,0],[0,3256,3288,1,0],[1,3271,3335,1,0],[0,3288,3352,1,0],[0,3352,3384,1,0],[1,3366,3430,1,0],[0,3384,3448,1,0],[1,3430,3494,1,0],[0,3448,3512,1,0],[1,3494,3558,1,0],[0,3512,3544,1,0],[0,3544,3608,1,0],[1,3558,3622,1,0],[0,3608,3672,1,0],[1,3622,3686,1,0],[0,3672,3704,1,0],[1,3686,3750,1,0],[0,3704,3736,1,0],[0,3736,3768,1,0],[1,3750,3814,1,0],[1,3814,3878,1,0],[1,3878,3942,1,0],[0,3936,4000,1,0],[1,3942,4006,1,0],[1,4006,4070,1,0],[0,4007,4071,1,0],[1,4070,4134,1,0],[0,4094,4158,1,0],[1,4134,4198,1,0],[0,4158,4222,1,0],[1,4198,4262,1,0],[0,4256,4320,1,0],[1,4262,4326,1,0],[0,4320,4384,1,0],[1,4326,4390,1,0],[1,4390,4454,1,0],[0,4391,4455,1,0],[1,4454,4518,1,0],[0,4512,4576,1,0],[1,4518,4582,1,0],[0,4576,4640,1,0],[1,4582,4646,1,0],[1,4646,4710,1,0],[0,4647,4711,1,0],[1,4710,4774,1,0],[0,4768,4832,1,0],[1,4774,4838,1,0],[0,4832,4896,1,0],[1,4838,4902,1,0],[1,4902,4966,1,0],[0,4904,4968,1,0],[1,4966,5030,1,0],[0,5024,5088,1,0],[1,5030,5094,1,0],[0,5088,5152,1,0],[1,5094,5158,1,0],[1,5158,5222,1,0],[0,5160,5224,1,0],[1,5222,5286,1,0],[0,5280,5344,1,0],[1,5286,5350,1,0],[0,5344,5408,1,0],[1,5350,5414,1,0],[1,5414,5478,1,0],[0,5416,5480,1,0],[1,5478,5542,1,0],[0,5536,5600,1,0],[1,5542,5606,1,0],[0,5600,5664,1,0],[1,5606,5670,1,0],[1,5670,5734,1,0],[0,5672,5736,1,0],[1,5734,5798,1,0],[0,5792,5856,1,0],[1,5798,5862,1,0],[1,5862,5926,1,0],[0,5864,5928,1,0],[1,5926,5990,1,0],[0,5984,6048,1,0],[1,5990,6054,1,0],[1,6054,6118,1,0],[0,6056,6120,1,0],[1,6118,6182,1,0],[0,6176,6240,1,0],[0,6248,6312,1,0],[0,6376,6440,1,0],[0,6504,6568,1,0],[0,6632,6696,1,0],[0,6760,6824,1,0],[0,6888,6952,1,0],[0,7016,7080,1,0]],[[0,12,44,1,0],[0,83,147,1,0],[1,90,154,1,0],[0,147,211,1,0],[1,158,222,1,0],[0,211,275,1,0],[1,260,324,1,0],[0,275,339,1,0],[0,339,403,1,0],[1,350,414,1,0],[0,403,435,1,0],[0,435,499,1,0],[1,443,507,1,0],[0,499,563,1,0],[1,539,603,1,0],[0,563,627,1,0],[0,627,691,1,0],[1,635,699,1,0],[0,691,723,1,0],[0,723,787,1,0],[1,733,797,1,0],[0,787,851,1,0],[1,827,891,1,0],[0,851,883,1,0],[0,883,947,1,0],[1,897,961,1,0],[0,947,1011,1,0],[1,995,1059,1,0],[0,1011,1075,1,0],[0,1075,1139,1,0],[1,1082,1146,1,0],[0,1139,1203,1,0],[1,1155,1219,1,0],[0,1203,1267,1,0],[1,1257,1321,1,0],[0,1267,1331,1,0],[0,1331,1363,1,0],[0,1363,1427,1,0],[1,1385,1449,1,0],[0,1427,1459,1,0],[1,1454,1518,1,0],[0,1459,1523,1,0],[0,1523,1587,1,0],[1,1539,1603,1,0],[0,1589,1653,1,0],[1,1603,1667,1,0],[0,1659,1723,1,0],[1,1668,1732,1,0],[0,1723,1755,1,0],[1,1732,1796,1,0],[0,1755,1787,1,0],[0,1819,1883,1,0],[1,1860,1924,1,0],[0,1883,1947,1,0],[1,1925,1989,1,0],[0,1947,1979,1,0],[0,1979,2043,1,0],[1,1989,2053,1,0],[0,2043,2107,1,0],[1,2079,2143,1,0],[0,2107,2171,1,0],[1,2151,2215,1,0],[0,2171,2235,1,0],[1,2217,2281,1,0],[0,2235,2299,1,0],[1,2281,2345,1,0],[0,2299,2363,1,0],[0,2363,2427,1,0],[1,2408,2472,1,0],[0,2429,2493,1,0],[1,2477,2541,1,0],[0,2495,2559,1,0],[1,2541,2605,1,0],[0,2559,2623,1,0],[1,2605,2669,1,0],[0,2623,2687,1,0],[1,2669,2733,1,0],[0,2687,2751,1,0],[0,2751,2815,1,0],[1,2783,2847,1,0],[0,2839,2903,1,0],[1,2879,2943,1,0],[0,2903,2967,1,0],[1,2943,3007,1,0],[0,2975,3039,1,0],[1,3039,3103,1,0],[0,3071,3135,1,0],[1,3111,3175,1,0],[0,3135,3167,1,0],[0,3167,3231,1,0],[1,3175,3239,1,0],[0,3231,3295,1,0],[1,3239,3303,1,0],[0,3295,3327,1,0],[1,3327,3391,1,0],[0,3356,3420,1,0],[0,3420,3484,1,0],[1,3423,3487,1,0],[0,3487,3551,1,0],[1,3495,3559,1,0],[0,3551,3615,1,0],[1,3569,3633,1,0],[0,3623,3655,1,0],[0,3655,3719,1,0],[1,3665,3729,1,0],[0,3719,3783,1,0],[1,3743,3807,1,0],[0,3783,3847,1,0],[1,3839,3903,1,0],[0,3847,3911,1,0],[1,3903,3967,1,0],[0,3935,3967,1,0],[1,3967,4031,1,0],[0,3968,4032,1,0],[1,4031,4095,1,0],[0,4032,4064,1,0],[0,4064,4128,1,0],[1,4095,4159,1,0],[0,4128,4192,1,0],[1,4159,4223,1,0],[0,4192,4256,1,0],[1,4223,4287,1,0],[0,4256,4320,1,0],[1,4287,4351,1,0],[0,4320,4384,1,0],[1,4351,4415,1,0],[0,4384,4448,1,0],[1,4415,4479,1,0],[0,4448,4512,1,0],[1,4479,4543,1,0],[0,4512,4576,1,0],[1,4543,4607,1,0],[0,4576,4640,1,0],[1,4607,4671,1,0],[0,4640,4704,1,0],[1,4673,4737,1,0],[0,4704,4768,1,0],[1,4752,4816,1,0],[0,4768,4832,1,0],[1,4816,4880,1,0],[0,4832,4896,1,0],[1,4880,4944,1,0],[0,4896,4960,1,0],[0,4960,5024,1,0],[1,4968,5032,1,0],[0,5031,5095,1,0],[1,5074,5138,1,0],[0,5152,5216,1,0],[1,5160,5224,1,0],[0,5216,5280,1,0],[1,5224,5288,1,0],[1,5288,5352,1,0],[0,5317,5349,1,0],[0,5349,5413,1,0],[1,5364,5428,1,0],[1,5428,5492,1,0],[0,5446,5478,1,0],[0,5478,5542,1,0],[1,5492,5556,1,0],[1,5556,5620,1,0],[0,5606,5670,1,0],[1,5620,5684,1,0],[0,5670,5734,1,0],[1,5684,5748,1,0],[0,5734,5798,1,0],[1,5748,5812,1,0],[1,5812,5876,1,0],[0,5928,5992,1,0],[1,5930,5994,1,0],[0,5992,6056,1,0],[0,6120,6184,1,0],[0,6248,6312,1,0],[0,6376,6440,1,0],[0,6632,6696,1,0]],[[0,16,48,1,0],[0,48,112,1,0],[1,69,133,1,0],[0,112,176,1,0],[1,133,197,1,0],[0,176,240,1,0],[1,197,261,1,0],[0,240,304,1,0],[1,261,325,1,0],[0,304,368,1,0],[1,325,389,1,0],[0,368,432,1,0],[1,389,453,1,0],[0,432,496,1,0],[1,453,517,1,0],[0,496,560,1,0],[1,517,581,1,0],[0,560,624,1,0],[1,581,645,1,0],[0,624,688,1,0],[1,645,709,1,0],[0,688,752,1,0],[1,709,773,1,0],[0,752,816,1,0],[1,773,837,1,0],[1,837,901,1,0],[0,861,925,1,0],[1,901,965,1,0],[0,925,989,1,0],[1,965,1029,1,0],[1,1029,1093,1,0],[0,1044,1076,1,0],[0,1076,1140,1,0],[1,1094,1158,1,0],[0,1140,1204,1,0],[1,1192,1256,1,0],[0,1204,1268,1,0],[0,1268,1332,1,0],[1,1284,1348,1,0],[0,1332,1396,1,0],[1,1379,1443,1,0],[0,1396,1460,1,0],[0,1460,1524,1,0],[1,1476,1540,1,0],[0,1524,1588,1,0],[1,1540,1604,1,0],[0,1588,1652,1,0],[1,1604,1668,1,0],[0,1652,1716,1,0],[1,1668,1732,1,0],[0,1716,1780,1,0],[1,1732,1796,1,0],[0,1780,1844,1,0],[1,1796,1860,1,0],[0,1844,1908,1,0],[1,1860,1924,1,0],[1,1924,1988,1,0],[0,1949,2013,1,0],[1,1990,2054,1,0],[0,2013,2077,1,0],[0,2077,2141,1,0],[1,2088,2152,1,0],[0,2141,2205,1,0],[1,2180,2244,1,0],[0,2269,2333,1,0],[1,2276,2340,1,0],[0,2333,2365,1,0],[0,2365,2429,1,0],[1,2372,2436,1,0],[0,2429,2493,1,0],[1,2440,2504,1,0],[0,2493,2525,1,0],[0,2525,2589,1,0],[1,2532,2596,1,0],[0,2591,2655,1,0],[1,2628,2692,1,0],[0,2657,2721,1,0],[1,2696,2760,1,0],[0,2721,2785,1,0],[1,2762,2826,1,0],[0,2785,2849,1,0],[1,2849,2913,1,0],[0,2850,2882,1,0],[0,2882,2946,1,0],[1,2913,2977,1,0],[0,2946,3010,1,0],[1,2977,3041,1,0],[0,3047,3111,1,0],[1,3057,3121,1,0],[0,3111,3175,1,0],[1,3144,3208,1,0],[0,3175,3239,1,0],[1,3210,3274,1,0],[0,3239,3303,1,0],[1,3274,3338,1,0],[0,3303,3367,1,0],[1,3338,3402,1,0],[0,3367,3431,1,0],[1,3402,3466,1,0],[0,3431,3495,1,0],[1,3466,3530,1,0],[0,3495,3559,1,0],[1,3530,3594,1,0],[0,3559,3623,1,0],[1,3596,3660,1,0],[0,3623,3687,1,0],[1,3661,3725,1,0],[0,3687,3751,1,0],[1,3725,3789,1,0],[0,3751,3815,1,0],[1,3789,3853,1,0],[0,3830,3862,1,0],[1,3853,3917,1,0],[0,3887,3951,1,0],[1,3917,3981,1,0],[0,3951,4015,1,0],[1,3981,4045,1,0],[1,4045,4109,1,0],[0,4060,4092,1,0],[0,4092,4156,1,0],[1,4109,4173,1,0],[0,4156,4188,1,0],[1,4173,4237,1,0],[0,4188,4220,1,0],[0,4220,4252,1,0],[1,4237,4301,1,0],[0,4252,4284,1,0],[1,4301,4365,1,0],[0,4328,4392,1,0],[1,4365,4429,1,0],[0,4396,4428,1,0],[1,4429,4493,1,0],[0,4430,4494,1,0],[1,4493,4557,1,0],[0,4494,4558,1,0],[1,4559,4623,1,0],[0,4560,4624,1,0],[1,4623,4687,1,0],[0,4624,4688,1,0],[0,4688,4752,1,0],[1,4751,4815,1,0],[0,4752,4784,1,0],[1,4815,4879,1,0],[0,4820,4852,1,0],[0,4852,4916,1,0],[1,4879,4943,1,0],[0,4916,4980,1,0],[1,4943,5007,1,0],[0,4980,5044,1,0],[1,5007,5071,1,0],[0,5044,5076,1,0],[1,5071,5135,1,0],[0,5076,5140,1,0],[1,5135,5199,1,0],[0,5140,5204,1,0],[1,5199,5263,1,0],[0,5204,5268,1,0],[1,5263,5327,1,0],[0,5268,5332,1,0],[0,5332,5396,1,0],[1,5389,5453,1,0],[0,5396,5460,1,0],[0,5460,5524,1,0],[1,5517,5581,1,0],[0,5524,5588,1,0],[0,5588,5652,1,0],[1,5645,5709,1,0],[0,5652,5716,1,0],[0,5716,5780,1,0],[1,5773,5837,1,0],[1,5901,5965,1,0],[0,5992,6024,1,0],[0,6088,6152,1,0],[0,6280,6344,1,0],[0,6472,6536,1,0],[0,6728,6792,1,0]],[[1,69,133,1,0],[1,134,198,1,0],[1,220,284,1,0],[1,316,380,1,0],[0,339,403,1,0],[1,381,445,1,0],[1,445,509,1,0],[1,540,604,1,0],[1,604,668,1,0],[1,700,764,1,0],[1,770,834,1,0],[1,834,898,1,0],[1,932,996,1,0],[1,1052,1116,1,0],[1,1148,1212,1,0],[0,1179,1243,1,0],[1,1220,1284,1,0],[0,1279,1311,1,0],[1,1315,1379,1,0],[0,1334,1398,1,0],[1,1379,1443,1,0],[0,1406,1438,1,0],[0,1440,1472,1,0],[1,1443,1507,1,0],[0,1500,1564,1,0],[1,1539,1603,1,0],[0,1564,1628,1,0],[1,1603,1667,1,0],[0,1628,1692,1,0],[1,1668,1732,1,0],[0,1693,1757,1,0],[1,1734,1798,1,0],[0,1757,1821,1,0],[1,1798,1862,1,0],[0,1851,1915,1,0],[1,1862,1926,1,0],[0,1915,1979,1,0],[1,1926,1990,1,0],[0,1987,2019,1,0],[1,1990,2054,1,0],[0,2019,2083,1,0],[1,2054,2118,1,0],[0,2083,2115,1,0],[0,2115,2147,1,0],[1,2118,2182,1,0],[0,2147,2179,1,0],[0,2179,2243,1,0],[1,2182,2246,1,0],[0,2243,2275,1,0],[1,2246,2310,1,0],[0,2275,2307,1,0],[1,2310,2374,1,0],[0,2332,2396,1,0],[1,2374,2438,1,0],[0,2396,2428,1,0],[0,2428,2492,1,0],[1,2444,2508,1,0],[0,2492,2556,1,0],[1,2533,2597,1,0],[0,2556,2620,1,0],[1,2597,2661,1,0],[0,2620,2684,1,0],[0,2689,2721,1,0],[1,2692,2756,1,0],[0,2723,2787,1,0],[1,2756,2820,1,0],[0,2787,2851,1,0],[1,2829,2893,1,0],[0,2851,2915,1,0],[1,2916,2980,1,0],[0,2917,2981,1,0],[1,2980,3044,1,0],[0,2981,3045,1,0],[0,3045,3077,1,0],[1,3053,3117,1,0],[0,3077,3141,1,0],[0,3141,3173,1,0],[0,3173,3237,1,0],[1,3183,3247,1,0],[0,3237,3301,1,0],[1,3247,3311,1,0],[0,3301,3365,1,0],[1,3311,3375,1,0],[0,3365,3429,1,0],[1,3375,3439,1,0],[0,3429,3493,1,0],[1,3439,3503,1,0],[0,3493,3557,1,0],[1,3503,3567,1,0],[0,3557,3621,1,0],[1,3567,3631,1,0],[0,3621,3685,1,0],[1,3631,3695,1,0],[0,3685,3749,1,0],[1,3695,3759,1,0],[0,3749,3813,1,0],[1,3759,3823,1,0],[0,3813,3877,1,0],[1,3855,3919,1,0],[0,3877,3941,1,0],[1,3919,3983,1,0],[0,3941,4005,1,0],[1,3983,4047,1,0],[0,4005,4069,1,0],[1,4047,4111,1,0],[0,4069,4133,1,0],[1,4111,4175,1,0],[0,4133,4197,1,0],[1,4175,4239,1,0],[0,4199,4263,1,0],[1,4239,4303,1,0],[0,4263,4327,1,0],[1,4326,4390,1,0],[0,4327,4391,1,0],[1,4390,4454,1,0],[0,4391,4455,1,0],[1,4454,4518,1,0],[0,4455,4519,1,0],[1,4520,4584,1,0],[0,4521,4585,1,0],[1,4584,4648,1,0],[0,4585,4649,1,0],[1,4648,4712,1,0],[0,4649,4713,1,0],[1,4712,4776,1,0],[0,4713,4777,1,0],[1,4776,4840,1,0],[0,4777,4841,1,0],[1,4840,4904,1,0],[0,4841,4905,1,0],[1,4904,4968,1,0],[0,4905,4969,1,0],[1,4968,5032,1,0],[0,4969,5033,1,0],[1,5032,5096,1,0],[0,5033,5097,1,0],[1,5096,5160,1,0],[0,5097,5161,1,0],[1,5193,5257,1,0],[0,5225,5289,1,0],[1,5266,5330,1,0],[0,5289,5353,1,0],[1,5330,5394,1,0],[0,5353,5417,1,0],[1,5394,5458,1,0],[0,5417,5481,1,0],[1,5458,5522,1,0],[0,5481,5545,1,0],[1,5577,5641,1,0],[0,5629,5693,1,0],[0,5693,5757,1,0],[0,5821,5885,1,0],[0,6013,6077,1,0],[0,6205,6269,1,0],[0,6333,6397,1,0]],[[0,22,86,1,0],[1,69,133,1,0],[0,86,118,1,0],[0,118,182,1,0],[1,143,207,1,0],[0,182,246,1,0],[0,246,310,1,0],[1,260,324,1,0],[0,310,342,1,0],[0,342,406,1,0],[1,352,416,1,0],[0,406,470,1,0],[1,452,516,1,0],[0,470,502,1,0],[0,502,566,1,0],[1,516,580,1,0],[0,566,630,1,0],[1,591,655,1,0],[0,630,662,1,0],[0,662,726,1,0],[1,679,743,1,0],[0,726,790,1,0],[1,772,836,1,0],[0,790,854,1,0],[0,854,918,1,0],[1,868,932,1,0],[0,918,982,1,0],[0,982,1046,1,0],[1,995,1059,1,0],[0,1046,1110,1,0],[1,1091,1155,1,0],[0,1110,1174,1,0],[1,1162,1226,1,0],[0,1174,1238,1,0],[0,1238,1302,1,0],[1,1252,1316,1,0],[0,1302,1334,1,0],[0,1334,1398,1,0],[1,1347,1411,1,0],[0,1398,1430,1,0],[0,1430,1494,1,0],[1,1447,1511,1,0],[0,1494,1526,1,0],[1,1527,1591,1,0],[0,1528,1592,1,0],[0,1592,1624,1,0],[0,1624,1688,1,0],[1,1639,1703,1,0],[0,1690,1754,1,0],[1,1703,1767,1,0],[0,1754,1818,1,0],[1,1796,1860,1,0],[0,1818,1850,1,0],[0,1850,1914,1,0],[1,1864,1928,1,0],[0,1914,1978,1,0],[1,1933,1997,1,0],[0,1978,2042,1,0],[1,2023,2087,1,0],[0,2042,2106,1,0],[1,2087,2151,1,0],[0,2106,2170,1,0],[1,2151,2215,1,0],[0,2170,2202,1,0],[0,2202,2266,1,0],[1,2215,2279,1,0],[0,2266,2330,1,0],[1,2279,2343,1,0],[0,2330,2394,1,0],[1,2343,2407,1,0],[0,2394,2458,1,0],[1,2407,2471,1,0],[0,2458,2522,1,0],[1,2503,2567,1,0],[0,2522,2554,1,0],[0,2554,2618,1,0],[1,2567,2631,1,0],[0,2618,2682,1,0],[1,2638,2702,1,0],[0,2682,2714,1,0],[1,2702,2766,1,0],[0,2714,2778,1,0],[0,2778,2842,1,0],[1,2788,2852,1,0],[0,2842,2906,1,0],[1,2888,2952,1,0],[0,2906,2970,1,0],[1,2952,3016,1,0],[0,2970,3002,1,0],[0,3002,3066,1,0],[1,3016,3080,1,0],[0,3066,3130,1,0],[1,3080,3144,1,0],[0,3130,3194,1,0],[1,3176,3240,1,0],[0,3194,3226,1,0],[0,3226,3290,1,0],[1,3240,3304,1,0],[0,3290,3354,1,0],[1,3304,3368,1,0],[0,3354,3386,1,0],[0,3386,3450,1,0],[1,3400,3464,1,0],[0,3450,3514,1,0],[1,3467,3531,1,0],[0,3514,3578,1,0],[1,3531,3595,1,0],[0,3578,3642,1,0],[1,3595,3659,1,0],[0,3642,3706,1,0],[1,3688,3752,1,0],[0,3706,3770,1,0],[1,3752,3816,1,0],[0,3770,3802,1,0],[0,3802,3866,1,0],[1,3816,3880,1,0],[0,3866,3930,1,0],[1,3880,3944,1,0],[0,3930,3994,1,0],[1,3944,4008,1,0],[0,3994,4058,1,0],[1,4008,4072,1,0],[0,4058,4122,1,0],[1,4104,4168,1,0],[0,4122,4186,1,0],[1,4168,4232,1,0],[0,4186,4250,1,0],[1,4233,4297,1,0],[0,4250,4314,1,0],[1,4297,4361,1,0],[0,4314,4378,1,0],[1,4362,4426,1,0],[0,4378,4442,1,0],[0,4442,4506,1,0],[1,4459,4523,1,0],[0,4508,4572,1,0],[1,4523,4587,1,0],[0,4572,4636,1,0],[1,4587,4651,1,0],[0,4636,4700,1,0],[1,4651,4715,1,0],[0,4700,4764,1,0],[1,4717,4781,1,0],[0,4764,4828,1,0],[1,4781,4845,1,0],[0,4828,4892,1,0],[1,4845,4909,1,0],[0,4892,4956,1,0],[1,4910,4974,1,0],[0,4956,5020,1,0],[1,5006,5070,1,0],[0,5020,5084,1,0],[1,5070,5134,1,0],[0,5084,5148,1,0],[1,5134,5198,1,0],[0,5148,5212,1,0],[1,5198,5262,1,0],[0,5212,5276,1,0],[1,5262,5326,1,0],[0,5276,5340,1,0],[1,5327,5391,1,0],[0,5340,5404,1,0],[1,5391,5455,1,0],[0,5404,5468,1,0],[0,5468,5532,1,0],[1,5488,5552,1,0],[0,5532,5596,1,0],[1,5583,5647,1,0],[0,5596,5660,1,0],[1,5647,5711,1,0],[0,5660,5724,1,0],[1,5711,5775,1,0],[0,5724,5788,1,0],[1,5775,5839,1,0],[0,5788,5852,1,0],[1,5839,5903,1,0],[0,5852,5916,1,0],[1,5903,5967,1,0],[0,5916,5980,1,0],[1,5967,6031,1,0],[0,5980,6044,1,0],[1,6031,6095,1,0],[0,6044,6108,1,0],[1,6095,6159,1,0],[0,6108,6172,1,0],[1,6159,6223,1,0],[0,6172,6236,1,0],[1,6223,6287,1,0],[0,6236,6300,1,0],[1,6287,6351,1,0],[0,6300,6364,1,0],[1,6351,6415,1,0],[0,6364,6428,1,0],[1,6415,6479,1,0],[0,6428,6492,1,0],[1,6479,6543,1,0],[0,6492,6556,1,0],[1,6543,6607,1,0],[0,6556,6620,1,0],[1,6607,6671,1,0],[1,6671,6735,1,0],[0,6763,6827,1,0]],[[0,46,110,1,0],[1,69,133,1,0],[0,113,177,1,0],[1,133,197,1,0],[0,183,247,1,0],[1,215,279,1,0],[0,247,311,1,0],[1,311,375,1,0],[0,312,376,1,0],[1,375,439,1,0],[0,399,463,1,0],[1,439,503,1,0],[0,463,527,1,0],[1,503,567,1,0],[0,527,591,1,0],[1,567,631,1,0],[0,591,655,1,0],[1,631,695,1,0],[0,655,719,1,0],[1,695,759,1,0],[0,719,783,1,0],[1,759,823,1,0],[0,783,847,1,0],[1,823,887,1,0],[0,879,943,1,0],[1,919,983,1,0],[0,943,1007,1,0],[1,983,1047,1,0],[0,1007,1071,1,0],[1,1047,1111,1,0],[0,1071,1135,1,0],[1,1111,1175,1,0],[0,1135,1199,1,0],[1,1175,1239,1,0],[0,1199,1263,1,0],[1,1271,1335,1,0],[0,1327,1391,1,0],[1,1375,1439,1,0],[0,1391,1423,1,0],[0,1423,1487,1,0],[1,1439,1503,1,0],[0,1487,1551,1,0],[1,1503,1567,1,0],[0,1551,1615,1,0],[1,1567,1631,1,0],[0,1615,1679,1,0],[1,1655,1719,1,0],[0,1679,1743,1,0],[1,1741,1805,1,0],[0,1755,1819,1,0],[1,1805,1869,1,0],[0,1821,1885,1,0],[1,1869,1933,1,0],[0,1891,1955,1,0],[1,1933,1997,1,0],[0,1955,2019,1,0],[1,1997,2061,1,0],[0,2031,2095,1,0],[1,2061,2125,1,0],[0,2095,2159,1,0],[1,2125,2189,1,0],[0,2159,2223,1,0],[1,2189,2253,1,0],[0,2223,2287,1,0],[1,2253,2317,1,0],[0,2287,2351,1,0],[1,2317,2381,1,0],[0,2351,2415,1,0],[1,2381,2445,1,0],[0,2415,2479,1,0],[1,2445,2509,1,0],[0,2479,2511,1,0],[1,2509,2573,1,0],[0,2511,2575,1,0],[1,2573,2637,1,0],[0,2595,2659,1,0],[1,2637,2701,1,0],[0,2659,2723,1,0],[1,2711,2775,1,0],[0,2723,2787,1,0],[1,2775,2839,1,0],[0,2799,2863,1,0],[1,2839,2903,1,0],[0,2863,2927,1,0],[1,2903,2967,1,0],[0,2927,2991,1,0],[0,2991,3055,1,0],[1,2999,3063,1,0],[1,3095,3159,1,0],[0,3109,3141,1,0],[0,3141,3205,1,0],[1,3167,3231,1,0],[0,3205,3269,1,0],[1,3231,3295,1,0],[0,3269,3333,1,0],[1,3319,3383,1,0],[0,3334,3366,1,0],[0,3366,3430,1,0],[1,3383,3447,1,0],[0,3430,3494,1,0],[1,3447,3511,1,0],[0,3494,3558,1,0],[1,3511,3575,1,0],[0,3558,3622,1,0],[1,3607,3671,1,0],[0,3622,3686,1,0],[0,3686,3750,1,0],[1,3703,3767,1,0],[0,3759,3823,1,0],[1,3799,3863,1,0],[0,3823,3887,1,0],[1,3863,3927,1,0],[0,3887,3951,1,0],[1,3961,4025,1,0],[0,3977,4041,1,0],[1,4025,4089,1,0],[0,4041,4105,1,0],[0,4105,4169,1,0],[1,4111,4175,1,0],[0,4175,4239,1,0],[1,4215,4279,1,0],[0,4239,4303,1,0],[1,4313,4377,1,0],[0,4316,4348,1,0],[0,4348,4380,1,0],[0,4388,4452,1,0],[1,4409,4473,1,0],[0,4452,4516,1,0],[1,4505,4569,1,0],[0,4516,4580,1,0],[1,4580,4644,1,0],[0,4581,4645,1,0],[1,4644,4708,1,0],[0,4645,4709,1,0],[1,4708,4772,1,0],[0,4709,4773,1,0],[0,4773,4837,1,0],[1,4793,4857,1,0],[0,4837,4901,1,0],[1,4857,4921,1,0],[0,4901,4965,1,0],[1,4921,4985,1,0],[0,4965,5029,1,0],[1,5017,5081,1,0],[1,5081,5145,1,0],[0,5088,5152,1,0],[1,5145,5209,1,0],[0,5152,5216,1,0],[0,5216,5280,1,0],[1,5241,5305,1,0],[0,5285,5349,1,0],[1,5305,5369,1,0],[0,5349,5413,1,0],[1,5369,5433,1,0],[0,5413,5477,1,0],[1,5434,5498,1,0],[0,5477,5541,1,0],[1,5498,5562,1,0],[0,5541,5605,1,0],[1,5571,5635,1,0],[1,5635,5699,1,0],[0,5715,5779,1,0],[1,5731,5795,1,0],[1,5795,5859,1,0],[0,5841,5873,1,0],[0,5873,5905,1,0],[1,5891,5955,1,0],[0,5907,5971,1,0],[0,6065,6097,1,0],[0,6129,6161,1,0],[0,6193,6225,1,0],[0,6257,6289,1,0],[0,6385,6417,1,0],[0,6513,6545,1,0],[0,6609,6641,1,0],[0,6737,6769,1,0]],[[0,36,100,1,0],[1,69,133,1,0],[0,117,181,1,0],[1,133,197,1,0],[1,223,287,1,0],[0,278,342,1,0],[1,342,406,1,0],[0,343,407,1,0],[0,407,471,1,0],[1,430,494,1,0],[0,471,535,1,0],[1,543,607,1,0],[0,566,630,1,0],[0,634,698,1,0],[1,645,709,1,0],[1,758,822,1,0],[0,766,830,1,0],[0,830,894,1,0],[1,868,932,1,0],[0,894,958,1,0],[1,942,1006,1,0],[0,958,990,1,0],[0,990,1054,1,0],[1,1033,1097,1,0],[0,1054,1118,1,0],[1,1097,1161,1,0],[0,1118,1182,1,0],[1,1161,1225,1,0],[0,1246,1310,1,0],[1,1254,1318,1,0],[1,1318,1382,1,0],[0,1341,1405,1,0],[1,1382,1446,1,0],[0,1438,1502,1,0],[1,1446,1510,1,0],[1,1512,1576,1,0],[0,1529,1593,1,0],[1,1576,1640,1,0],[0,1593,1625,1,0],[0,1625,1689,1,0],[1,1640,1704,1,0],[0,1689,1721,1,0],[1,1704,1768,1,0],[0,1721,1753,1,0],[0,1759,1823,1,0],[1,1768,1832,1,0],[0,1824,1888,1,0],[1,1832,1896,1,0],[0,1888,1952,1,0],[1,1896,1960,1,0],[0,1952,2016,1,0],[1,1960,2024,1,0],[0,2016,2080,1,0],[1,2024,2088,1,0],[0,2080,2144,1,0],[1,2120,2184,1,0],[0,2144,2208,1,0],[1,2184,2248,1,0],[0,2208,2272,1,0],[1,2251,2315,1,0],[0,2272,2336,1,0],[1,2315,2379,1,0],[0,2342,2374,1,0],[1,2379,2443,1,0],[0,2399,2463,1,0],[1,2443,2507,1,0],[0,2463,2495,1,0],[0,2495,2559,1,0],[1,2507,2571,1,0],[0,2559,2623,1,0],[1,2591,2655,1,0],[0,2628,2660,1,0],[1,2655,2719,1,0],[0,2662,2726,1,0],[0,2726,2758,1,0],[1,2732,2796,1,0],[0,2758,2822,1,0],[1,2796,2860,1,0],[0,2822,2854,1,0],[0,2854,2886,1,0],[1,2860,2924,1,0],[0,2886,2950,1,0],[1,2924,2988,1,0],[0,2950,3014,1,0],[1,2990,3054,1,0],[0,3014,3078,1,0],[1,3055,3119,1,0],[0,3080,3112,1,0],[1,3119,3183,1,0],[0,3136,3200,1,0],[1,3183,3247,1,0],[0,3200,3232,1,0],[0,3234,3298,1,0],[1,3247,3311,1,0],[0,3298,3362,1,0],[1,3313,3377,1,0],[0,3362,3426,1,0],[1,3377,3441,1,0],[0,3426,3490,1,0],[1,3441,3505,1,0],[0,3490,3522,1,0],[1,3505,3569,1,0],[0,3522,3586,1,0],[1,3573,3637,1,0],[0,3586,3650,1,0],[0,3650,3714,1,0],[1,3663,3727,1,0],[0,3714,3778,1,0],[1,3727,3791,1,0],[0,3778,3842,1,0],[1,3795,3859,1,0],[0,3842,3906,1,0],[1,3859,3923,1,0],[0,3906,3970,1,0],[1,3923,3987,1,0],[0,3970,4034,1,0],[1,4019,4083,1,0],[0,4034,4098,1,0],[1,4083,4147,1,0],[0,4098,4162,1,0],[1,4153,4217,1,0],[0,4162,4226,1,0],[1,4217,4281,1,0],[0,4226,4290,1,0],[1,4281,4345,1,0],[0,4290,4354,1,0],[1,4345,4409,1,0],[0,4354,4418,1,0],[1,4409,4473,1,0],[0,4418,4482,1,0],[1,4473,4537,1,0],[0,4482,4546,1,0],[1,4537,4601,1,0],[0,4546,4610,1,0],[1,4601,4665,1,0],[0,4610,4674,1,0],[1,4665,4729,1,0],[0,4714,4778,1,0],[1,4757,4821,1,0],[0,4778,4842,1,0],[1,4821,4885,1,0],[0,4842,4906,1,0],[1,4885,4949,1,0],[0,4906,4970,1,0],[1,4971,5035,1,0],[0,4972,5036,1,0],[1,5035,5099,1,0],[0,5036,5100,1,0],[1,5099,5163,1,0],[0,5100,5164,1,0],[1,5163,5227,1,0],[0,5164,5228,1,0],[1,5227,5291,1,0],[0,5228,5292,1,0],[1,5291,5355,1,0],[0,5292,5356,1,0],[0,5356,5420,1,0],[1,5383,5447,1,0],[0,5420,5484,1,0],[1,5453,5517,1,0],[1,5517,5581,1,0],[0,5548,5612,1,0],[1,5581,5645,1,0],[0,5612,5676,1,0],[1,5645,5709,1,0],[0,5676,5740,1,0],[1,5709,5773,1,0],[0,5740,5804,1,0],[1,5773,5837,1,0],[1,5837,5901,1,0],[0,5868,5932,1,0],[1,5901,5965,1,0],[1,5965,6029,1,0],[0,5996,6060,1,0],[1,6029,6093,1,0],[1,6093,6157,1,0],[0,6124,6188,1,0],[1,6157,6221,1,0],[1,6221,6285,1,0],[1,6285,6349,1,0],[1,6349,6413,1,0]],[[0,45,109,1,0],[1,69,133,1,0],[0,114,178,1,0],[1,133,197,1,0],[0,186,250,1,0],[1,217,281,1,0],[0,252,316,1,0],[1,281,345,1,0],[0,316,380,1,0],[1,377,441,1,0],[0,380,444,1,0],[0,444,508,1,0],[1,473,537,1,0],[0,528,592,1,0],[1,569,633,1,0],[0,592,656,1,0],[1,633,697,1,0],[0,656,720,1,0],[1,697,761,1,0],[0,720,784,1,0],[1,761,825,1,0],[0,816,880,1,0],[1,857,921,1,0],[0,880,912,1,0],[0,912,976,1,0],[1,929,993,1,0],[0,976,1040,1,0],[1,993,1057,1,0],[0,1040,1104,1,0],[1,1057,1121,1,0],[0,1104,1168,1,0],[1,1145,1209,1,0],[0,1168,1232,1,0],[1,1241,1305,1,0],[0,1242,1306,1,0],[0,1306,1370,1,0],[1,1337,1401,1,0],[0,1370,1434,1,0],[1,1433,1497,1,0],[0,1435,1499,1,0],[1,1497,1561,1,0],[0,1499,1563,1,0],[1,1561,1625,1,0],[0,1584,1648,1,0],[1,1625,1689,1,0],[0,1648,1712,1,0],[1,1689,1753,1,0],[0,1712,1776,1,0],[1,1753,1817,1,0],[0,1782,1846,1,0],[0,1846,1910,1,0],[1,1849,1913,1,0],[0,1910,1974,1,0],[1,1916,1980,1,0],[0,1974,2038,1,0],[1,1980,2044,1,0],[0,2038,2102,1,0],[1,2044,2108,1,0],[0,2102,2166,1,0],[1,2108,2172,1,0],[0,2166,2230,1,0],[1,2172,2236,1,0],[0,2230,2294,1,0],[1,2236,2300,1,0],[0,2294,2358,1,0],[1,2300,2364,1,0],[0,2358,2422,1,0],[1,2364,2428,1,0],[1,2428,2492,1,0],[0,2460,2524,1,0],[1,2506,2570,1,0],[0,2524,2588,1,0],[1,2570,2634,1,0],[0,2588,2652,1,0],[1,2634,2698,1,0],[0,2652,2716,1,0],[1,2698,2762,1,0],[0,2716,2780,1,0],[1,2762,2826,1,0],[0,2780,2844,1,0],[1,2826,2890,1,0],[0,2844,2908,1,0],[1,2890,2954,1,0],[0,2908,2972,1,0],[1,2954,3018,1,0],[0,2972,3036,1,0],[1,3018,3082,1,0],[0,3036,3100,1,0],[1,3082,3146,1,0],[0,3152,3216,1,0],[1,3191,3255,1,0],[0,3216,3280,1,0],[1,3257,3321,1,0],[0,3280,3344,1,0],[1,3321,3385,1,0],[0,3344,3408,1,0],[1,3385,3449,1,0],[0,3408,3472,1,0],[1,3449,3513,1,0],[0,3472,3536,1,0],[1,3513,3577,1,0],[0,3536,3600,1,0],[1,3577,3641,1,0],[0,3600,3664,1,0],[1,3658,3722,1,0],[0,3664,3696,1,0],[0,3696,3760,1,0],[1,3722,3786,1,0],[0,3760,3824,1,0],[1,3786,3850,1,0],[1,3850,3914,1,0],[0,3856,3888,1,0],[0,3888,3952,1,0],[1,3914,3978,1,0],[0,3952,4016,1,0],[1,3978,4042,1,0],[0,4016,4080,1,0],[1,4042,4106,1,0],[0,4080,4144,1,0],[1,4124,4188,1,0],[0,4147,4179,1,0],[1,4188,4252,1,0],[0,4189,4253,1,0],[1,4252,4316,1,0],[0,4253,4285,1,0],[0,4285,4349,1,0],[1,4316,4380,1,0],[0,4349,4413,1,0],[1,4380,4444,1,0],[1,4444,4508,1,0],[0,4445,4509,1,0],[1,4508,4572,1,0],[0,4509,4573,1,0],[1,4572,4636,1,0],[0,4573,4637,1,0],[1,4636,4700,1,0],[0,4637,4669,1,0],[0,4669,4733,1,0],[1,4710,4774,1,0],[0,4765,4797,1,0],[0,4797,4861,1,0],[1,4806,4870,1,0],[0,4861,4925,1,0],[1,4870,4934,1,0],[0,4925,4957,1,0],[1,4944,5008,1,0],[0,4957,4989,1,0],[0,4989,5053,1,0],[1,5008,5072,1,0],[0,5053,5117,1,0],[1,5072,5136,1,0],[0,5117,5149,1,0],[0,5159,5223,1,0],[1,5190,5254,1,0],[0,5223,5287,1,0],[1,5254,5318,1,0],[0,5287,5351,1,0],[1,5318,5382,1,0],[0,5351,5415,1,0],[1,5392,5456,1,0],[0,5415,5479,1,0],[1,5478,5542,1,0],[0,5479,5543,1,0],[0,5543,5607,1,0],[1,5574,5638,1,0],[0,5607,5671,1,0],[1,5638,5702,1,0],[0,5671,5735,1,0],[1,5702,5766,1,0],[0,5735,5799,1,0],[0,6271,6303,1,0],[0,6367,6399,1,0],[0,6463,6495,1,0],[0,6559,6591,1,0],[0,6655,6687,1,0],[0,6751,6783,1,0]],[[0,18,82,1,0],[1,69,133,1,0],[0,82,114,1,0],[0,114,178,1,0],[1,161,225,1,0],[0,178,242,1,0],[1,225,289,1,0],[0,242,274,1,0],[0,274,338,1,0],[1,291,355,1,0],[0,338,402,1,0],[1,355,419,1,0],[0,402,466,1,0],[1,453,517,1,0],[0,466,530,1,0],[0,530,594,1,0],[1,536,600,1,0],[0,594,658,1,0],[1,645,709,1,0],[0,658,722,1,0],[0,722,786,1,0],[1,728,792,1,0],[0,786,818,1,0],[0,818,882,1,0],[1,837,901,1,0],[0,882,946,1,0],[1,903,967,1,0],[0,946,1010,1,0],[1,967,1031,1,0],[0,1010,1074,1,0],[1,1055,1119,1,0],[0,1074,1138,1,0],[0,1138,1202,1,0],[1,1157,1221,1,0],[0,1202,1234,1,0],[1,1225,1289,1,0],[0,1234,1298,1,0],[0,1298,1362,1,0],[1,1311,1375,1,0],[0,1362,1426,1,0],[1,1415,1479,1,0],[0,1426,1490,1,0],[1,1479,1543,1,0],[0,1490,1554,1,0],[1,1543,1607,1,0],[0,1554,1618,1,0],[1,1607,1671,1,0],[0,1618,1682,1,0],[1,1671,1735,1,0],[0,1682,1746,1,0],[1,1735,1799,1,0],[0,1746,1810,1,0],[1,1802,1866,1,0],[0,1810,1842,1,0],[0,1842,1906,1,0],[1,1897,1961,1,0],[0,1906,1970,1,0],[0,1970,2034,1,0],[1,1993,2057,1,0],[0,2034,2098,1,0],[1,2058,2122,1,0],[0,2098,2130,1,0],[0,2130,2194,1,0],[1,2155,2219,1,0],[0,2194,2258,1,0],[1,2249,2313,1,0],[0,2258,2290,1,0],[0,2290,2354,1,0],[1,2316,2380,1,0],[0,2354,2418,1,0],[1,2412,2476,1,0],[0,2418,2450,1,0],[0,2450,2514,1,0],[1,2508,2572,1,0],[0,2514,2578,1,0],[1,2573,2637,1,0],[0,2578,2642,1,0],[0,2642,2706,1,0],[1,2669,2733,1,0],[0,2706,2738,1,0],[0,2738,2802,1,0],[1,2764,2828,1,0],[0,2802,2866,1,0],[1,2828,2892,1,0],[0,2866,2930,1,0],[1,2892,2956,1,0],[0,2930,2994,1,0],[1,2959,3023,1,0],[0,2994,3058,1,0],[1,3023,3087,1,0],[0,3058,3122,1,0],[1,3088,3152,1,0],[0,3122,3186,1,0],[1,3152,3216,1,0],[0,3186,3250,1,0],[1,3216,3280,1,0],[0,3250,3282,1,0],[1,3280,3344,1,0],[0,3282,3346,1,0],[0,3346,3410,1,0],[1,3352,3416,1,0],[0,3410,3442,1,0],[0,3442,3506,1,0],[1,3448,3512,1,0],[0,3506,3570,1,0],[1,3537,3601,1,0],[0,3570,3634,1,0],[1,3603,3667,1,0],[0,3634,3698,1,0],[1,3667,3731,1,0],[0,3698,3762,1,0],[1,3731,3795,1,0],[0,3762,3826,1,0],[1,3795,3859,1,0],[0,3826,3858,1,0],[1,3859,3923,1,0],[0,3860,3924,1,0],[1,3923,3987,1,0],[0,3924,3988,1,0],[0,3988,4052,1,0],[1,4003,4067,1,0],[0,4052,4116,1,0],[1,4113,4177,1,0],[0,4116,4148,1,0],[0,4148,4212,1,0],[1,4182,4246,1,0],[0,4212,4276,1,0],[1,4260,4324,1,0],[0,4276,4340,1,0],[0,4340,4404,1,0],[1,4372,4436,1,0],[0,4404,4468,1,0],[1,4438,4502,1,0],[0,4468,4532,1,0],[1,4502,4566,1,0],[0,4532,4596,1,0],[1,4566,4630,1,0],[0,4596,4628,1,0],[0,4628,4692,1,0],[1,4630,4694,1,0],[0,4692,4756,1,0],[1,4695,4759,1,0],[0,4756,4820,1,0],[1,4759,4823,1,0],[0,4820,4884,1,0],[1,4823,4887,1,0],[0,4884,4948,1,0],[1,4887,4951,1,0],[0,4948,4980,1,0],[1,4951,5015,1,0],[0,4980,5044,1,0],[1,5015,5079,1,0],[0,5044,5108,1,0],[1,5084,5148,1,0],[0,5108,5172,1,0],[1,5148,5212,1,0],[0,5172,5204,1,0],[0,5204,5268,1,0],[1,5212,5276,1,0],[0,5268,5332,1,0],[1,5276,5340,1,0],[0,5332,5396,1,0],[1,5340,5404,1,0],[0,5396,5460,1,0],[1,5404,5468,1,0],[0,5461,5525,1,0],[1,5468,5532,1,0],[0,5525,5589,1,0],[1,5533,5597,1,0],[0,5589,5653,1,0],[1,5597,5661,1,0],[0,5653,5717,1,0],[1,5661,5725,1,0],[0,5717,5781,1,0],[1,5725,5789,1,0],[0,5781,5845,1,0],[1,5789,5853,1,0],[0,5845,5909,1,0],[1,5853,5917,1,0],[0,5909,5973,1,0],[1,5917,5981,1,0],[0,5973,6037,1,0],[1,5981,6045,1,0],[0,6037,6101,1,0],[1,6045,6109,1,0],[0,6101,6165,1,0],[1,6109,6173,1,0],[0,6165,6229,1,0],[1,6173,6237,1,0],[0,6229,6293,1,0],[1,6237,6301,1,0],[0,6293,6357,1,0],[1,6301,6365,1,0],[0,6357,6421,1,0],[1,6365,6429,1,0],[0,6422,6486,1,0],[1,6429,6493,1,0],[0,6486,6550,1,0],[1,6493,6557,1,0],[0,6550,6614,1,0],[1,6557,6621,1,0],[1,6621,6685,1,0],[1,6685,6749,1,0],[0,6742,6806,1,0],[1,6749,6813,1,0],[1,6813,6877,1,0],[1,6877,6941,1,0],[1,6941,7005,1,0]],[[0,46,110,1,0],[1,69,133,1,0],[0,110,174,1,0],[1,133,197,1,0],[0,174,238,1,0],[1,197,261,1,0],[0,238,302,1,0],[1,261,325,1,0],[0,317,349,1,0],[1,325,389,1,0],[0,349,381,1,0],[0,381,413,1,0],[1,389,453,1,0],[0,413,445,1,0],[0,445,509,1,0],[1,453,517,1,0],[0,509,573,1,0],[1,517,581,1,0],[0,573,637,1,0],[1,581,645,1,0],[0,637,701,1,0],[1,645,709,1,0],[0,701,765,1,0],[1,709,773,1,0],[0,765,829,1,0],[1,773,837,1,0],[0,829,893,1,0],[1,837,901,1,0],[0,893,957,1,0],[1,901,965,1,0],[0,957,1021,1,0],[1,965,1029,1,0],[0,1021,1085,1,0],[1,1029,1093,1,0],[0,1085,1149,1,0],[1,1093,1157,1,0],[0,1149,1213,1,0],[1,1157,1221,1,0],[0,1213,1277,1,0],[1,1221,1285,1,0],[0,1277,1309,1,0],[1,1285,1349,1,0],[0,1309,1341,1,0],[0,1341,1405,1,0],[1,1349,1413,1,0],[0,1407,1439,1,0],[1,1413,1477,1,0],[0,1440,1504,1,0],[1,1477,1541,1,0],[0,1504,1568,1,0],[1,1541,1605,1,0],[0,1568,1632,1,0],[1,1605,1669,1,0],[0,1632,1696,1,0],[1,1672,1736,1,0],[0,1696,1760,1,0],[1,1736,1800,1,0],[0,1760,1824,1,0],[1,1800,1864,1,0],[0,1824,1888,1,0],[1,1864,1928,1,0],[0,1888,1952,1,0],[1,1928,1992,1,0],[0,1952,2016,1,0],[1,1992,2056,1,0],[0,2016,2080,1,0],[1,2056,2120,1,0],[0,2080,2144,1,0],[1,2120,2184,1,0],[0,2144,2208,1,0],[1,2184,2248,1,0],[0,2208,2272,1,0],[1,2248,2312,1,0],[0,2272,2336,1,0],[1,2312,2376,1,0],[0,2336,2400,1,0],[1,2376,2440,1,0],[0,2400,2464,1,0],[1,2440,2504,1,0],[0,2464,2528,1,0],[1,2506,2570,1,0],[0,2528,2592,1,0],[1,2570,2634,1,0],[0,2592,2656,1,0],[1,2634,2698,1,0],[0,2656,2688,1,0],[0,2688,2752,1,0],[1,2698,2762,1,0],[0,2752,2816,1,0],[1,2762,2826,1,0],[0,2824,2856,1,0],[1,2826,2890,1,0],[0,2856,2920,1,0],[1,2894,2958,1,0],[0,2920,2984,1,0],[1,2958,3022,1,0],[0,2984,3048,1,0],[1,3022,3086,1,0],[0,3048,3112,1,0],[1,3086,3150,1,0],[0,3112,3176,1,0],[1,3150,3214,1,0],[0,3176,3240,1,0],[1,3237,3301,1,0],[0,3240,3304,1,0],[0,3304,3368,1,0],[1,3341,3405,1,0],[0,3368,3432,1,0],[1,3405,3469,1,0],[0,3432,3464,1,0],[0,3466,3530,1,0],[1,3469,3533,1,0],[0,3530,3594,1,0],[1,3533,3597,1,0],[0,3594,3626,1,0],[1,3597,3661,1,0],[0,3626,3690,1,0],[1,3661,3725,1,0],[0,3690,3754,1,0],[1,3725,3789,1,0],[0,3754,3818,1,0],[1,3790,3854,1,0],[0,3818,3882,1,0],[1,3854,3918,1,0],[0,3882,3914,1,0],[1,3918,3982,1,0],[0,3946,4010,1,0],[1,3982,4046,1,0],[0,4010,4074,1,0],[1,4046,4110,1,0],[0,4074,4106,1,0],[0,4107,4171,1,0],[1,4110,4174,1,0],[0,4171,4235,1,0],[1,4174,4238,1,0],[0,4235,4267,1,0],[1,4238,4302,1,0],[0,4267,4299,1,0],[0,4299,4331,1,0],[1,4302,4366,1,0],[0,4363,4427,1,0],[1,4366,4430,1,0],[0,4427,4491,1,0],[1,4442,4506,1,0],[0,4491,4555,1,0],[1,4506,4570,1,0],[0,4555,4619,1,0],[1,4570,4634,1,0],[1,4649,4713,1,0],[0,4652,4716,1,0],[1,4713,4777,1,0],[0,4716,4780,1,0],[1,4777,4841,1,0],[0,4780,4844,1,0],[1,4841,4905,1,0],[0,4848,4912,1,0],[1,4905,4969,1,0],[0,4912,4976,1,0],[1,4969,5033,1,0],[0,4976,5040,1,0],[1,5033,5097,1,0],[0,5040,5104,1,0],[1,5097,5161,1,0],[0,5104,5168,1,0],[0,5183,5247,1,0],[1,5204,5268,1,0],[0,5260,5324,1,0],[1,5268,5332,1,0],[0,5356,5420,1,0],[0,5420,5484,1,0],[0,5484,5548,1,0],[0,5580,5644,1,0],[0,5671,5735,1,0],[0,5735,5799,1,0],[0,5799,5863,1,0],[0,5863,5927,1,0]],[[0,19,83,1,0],[1,69,133,1,0],[0,83,115,1,0],[0,115,179,1,0],[1,159,223,1,0],[0,179,243,1,0],[1,223,287,1,0],[0,243,307,1,0],[1,287,351,1,0],[0,307,339,1,0],[0,339,403,1,0],[1,351,415,1,0],[0,403,435,1,0],[1,415,479,1,0],[0,435,499,1,0],[1,479,543,1,0],[0,499,531,1,0],[0,531,595,1,0],[1,543,607,1,0],[0,595,659,1,0],[1,607,671,1,0],[0,659,723,1,0],[1,709,773,1,0],[0,723,755,1,0],[0,755,819,1,0],[1,773,837,1,0],[0,819,883,1,0],[1,855,919,1,0],[0,883,947,1,0],[0,947,979,1,0],[1,965,1029,1,0],[0,979,1043,1,0],[1,1029,1093,1,0],[0,1043,1107,1,0],[1,1094,1158,1,0],[0,1107,1171,1,0],[1,1158,1222,1,0],[0,1171,1203,1,0],[0,1203,1267,1,0],[1,1230,1294,1,0],[0,1267,1299,1,0],[0,1299,1363,1,0],[1,1318,1382,1,0],[0,1363,1395,1,0],[0,1395,1459,1,0],[1,1413,1477,1,0],[0,1459,1523,1,0],[1,1477,1541,1,0],[0,1523,1587,1,0],[1,1543,1607,1,0],[0,1587,1651,1,0],[1,1607,1671,1,0],[0,1651,1715,1,0],[1,1687,1751,1,0],[0,1715,1747,1,0],[0,1747,1811,1,0],[1,1797,1861,1,0],[0,1811,1875,1,0],[1,1861,1925,1,0],[0,1875,1907,1,0],[0,1907,1971,1,0],[1,1927,1991,1,0],[0,1971,2003,1,0],[1,1991,2055,1,0],[0,2003,2067,1,0],[0,2067,2099,1,0],[1,2073,2137,1,0],[0,2099,2163,1,0],[0,2163,2195,1,0],[1,2181,2245,1,0],[0,2195,2259,1,0],[1,2245,2309,1,0],[0,2259,2291,1,0],[0,2291,2355,1,0],[1,2311,2375,1,0],[0,2355,2387,1,0],[1,2375,2439,1,0],[0,2387,2451,1,0],[1,2448,2512,1,0],[0,2451,2515,1,0],[0,2515,2579,1,0],[1,2527,2591,1,0],[0,2579,2643,1,0],[1,2629,2693,1,0],[0,2643,2707,1,0],[1,2695,2759,1,0],[0,2707,2771,1,0],[1,2759,2823,1,0],[0,2771,2835,1,0],[1,2823,2887,1,0],[0,2835,2899,1,0],[1,2888,2952,1,0],[0,2899,2963,1,0],[1,2952,3016,1,0],[0,2963,3027,1,0],[1,3016,3080,1,0],[0,3027,3091,1,0],[1,3080,3144,1,0],[0,3091,3155,1,0],[1,3144,3208,1,0],[0,3155,3219,1,0],[1,3212,3276,1,0],[0,3219,3283,1,0],[1,3276,3340,1,0],[0,3283,3347,1,0],[0,3347,3411,1,0],[1,3367,3431,1,0],[0,3411,3475,1,0],[1,3461,3525,1,0],[0,3475,3539,1,0],[1,3525,3589,1,0],[0,3539,3603,1,0],[1,3589,3653,1,0],[0,3610,3674,1,0],[1,3653,3717,1,0],[0,3674,3738,1,0],[1,3717,3781,1,0],[0,3738,3802,1,0],[1,3781,3845,1,0],[0,3802,3866,1,0],[1,3845,3909,1,0],[0,3866,3930,1,0],[1,3909,3973,1,0],[0,3930,3994,1,0],[1,3973,4037,1,0],[0,3994,4058,1,0],[1,4037,4101,1,0],[0,4058,4122,1,0],[1,4101,4165,1,0],[0,4122,4186,1,0],[1,4165,4229,1,0],[0,4186,4250,1,0],[1,4229,4293,1,0],[0,4250,4314,1,0],[1,4293,4357,1,0],[0,4314,4378,1,0],[1,4357,4421,1,0],[0,4378,4442,1,0],[1,4421,4485,1,0],[0,4442,4506,1,0],[1,4491,4555,1,0],[0,4506,4570,1,0],[1,4555,4619,1,0],[0,4570,4634,1,0],[1,4619,4683,1,0],[0,4634,4698,1,0],[1,4683,4747,1,0],[0,4698,4762,1,0],[1,4747,4811,1,0],[0,4762,4826,1,0],[1,4811,4875,1,0],[0,4826,4890,1,0],[1,4875,4939,1,0],[0,4890,4954,1,0],[1,4939,5003,1,0],[0,4954,5018,1,0],[1,5003,5067,1,0],[0,5018,5082,1,0],[1,5067,5131,1,0],[0,5082,5146,1,0],[1,5131,5195,1,0],[0,5146,5210,1,0],[1,5195,5259,1,0],[0,5210,5274,1,0],[1,5259,5323,1,0],[0,5274,5338,1,0],[1,5323,5387,1,0],[0,5338,5402,1,0],[1,5387,5451,1,0],[0,5402,5466,1,0],[1,5451,5515,1,0],[0,5466,5530,1,0],[1,5515,5579,1,0],[0,5530,5594,1,0],[1,5579,5643,1,0],[0,5594,5658,1,0],[1,5643,5707,1,0],[0,5658,5722,1,0],[1,5707,5771,1,0],[0,5722,5786,1,0],[1,5771,5835,1,0],[0,5786,5850,1,0],[1,5835,5899,1,0],[0,5850,5914,1,0],[1,5899,5963,1,0],[0,5914,5978,1,0],[1,5963,6027,1,0],[0,5978,6042,1,0],[1,6027,6091,1,0],[0,6042,6106,1,0],[1,6093,6157,1,0],[0,6106,6170,1,0],[1,6157,6221,1,0],[0,6170,6234,1,0],[1,6221,6285,1,0],[0,6234,6298,1,0],[1,6285,6349,1,0],[0,6298,6362,1,0],[1,6349,6413,1,0],[0,6362,6426,1,0],[1,6413,6477,1,0],[0,6426,6490,1,0],[1,6477,6541,1,0],[0,6490,6554,1,0],[1,6541,6605,1,0],[0,6554,6618,1,0],[1,6605,6669,1,0],[0,6618,6682,1,0]],[[0,45,109,1,0],[1,69,133,1,0],[0,109,173,1,0],[1,133,197,1,0],[0,173,237,1,0],[1,197,261,1,0],[0,237,301,1,0],[1,261,325,1,0],[0,316,348,1,0],[1,325,389,1,0],[0,348,380,1,0],[0,380,412,1,0],[1,389,453,1,0],[0,412,444,1,0],[0,444,508,1,0],[1,453,517,1,0],[0,508,572,1,0],[1,517,581,1,0],[0,572,636,1,0],[1,581,645,1,0],[0,636,700,1,0],[1,645,709,1,0],[0,700,764,1,0],[1,709,773,1,0],[0,764,828,1,0],[1,773,837,1,0],[0,828,892,1,0],[1,837,901,1,0],[0,892,956,1,0],[1,901,965,1,0],[0,956,1020,1,0],[1,965,1029,1,0],[0,1020,1084,1,0],[1,1029,1093,1,0],[0,1084,1148,1,0],[1,1093,1157,1,0],[0,1148,1212,1,0],[1,1157,1221,1,0],[0,1212,1244,1,0],[1,1221,1285,1,0],[0,1250,1314,1,0],[1,1285,1349,1,0],[0,1314,1378,1,0],[1,1349,1413,1,0],[0,1378,1442,1,0],[1,1413,1477,1,0],[0,1442,1506,1,0],[1,1477,1541,1,0],[0,1506,1538,1,0],[0,1538,1570,1,0],[1,1541,1605,1,0],[0,1570,1634,1,0],[1,1605,1669,1,0],[0,1634,1698,1,0],[1,1669,1733,1,0],[0,1698,1762,1,0],[1,1733,1797,1,0],[0,1762,1826,1,0],[1,1802,1866,1,0],[0,1858,1890,1,0],[1,1873,1937,1,0],[0,1890,1954,1,0],[1,1937,2001,1,0],[0,1954,2018,1,0],[1,2001,2065,1,0],[0,2018,2082,1,0],[1,2065,2129,1,0],[0,2082,2114,1,0],[0,2114,2146,1,0],[0,2146,2178,1,0],[0,2178,2242,1,0],[1,2193,2257,1,0],[1,2257,2321,1,0],[0,2274,2338,1,0],[0,2338,2370,1,0],[1,2347,2411,1,0],[0,2370,2434,1,0],[1,2411,2475,1,0],[0,2434,2498,1,0],[1,2475,2539,1,0],[0,2498,2562,1,0],[1,2539,2603,1,0],[0,2562,2626,1,0],[0,2626,2690,1,0],[1,2635,2699,1,0],[0,2690,2754,1,0],[1,2699,2763,1,0],[0,2754,2818,1,0],[1,2763,2827,1,0],[0,2818,2882,1,0],[1,2827,2891,1,0],[0,2882,2914,1,0],[1,2891,2955,1,0],[0,2914,2946,1,0],[0,2946,3010,1,0],[1,2955,3019,1,0],[0,3010,3042,1,0],[1,3019,3083,1,0],[0,3042,3074,1,0],[0,3074,3138,1,0],[1,3083,3147,1,0],[0,3138,3202,1,0],[1,3147,3211,1,0],[1,3211,3275,1,0],[0,3235,3299,1,0],[1,3276,3340,1,0],[0,3299,3363,1,0],[1,3340,3404,1,0],[0,3363,3427,1,0],[1,3404,3468,1,0],[0,3427,3491,1,0],[1,3468,3532,1,0],[0,3491,3555,1,0],[1,3532,3596,1,0],[0,3555,3619,1,0],[1,3596,3660,1,0],[0,3619,3683,1,0],[1,3660,3724,1,0],[0,3683,3747,1,0],[1,3724,3788,1,0],[0,3747,3811,1,0],[1,3788,3852,1,0],[0,3811,3875,1,0],[1,3852,3916,1,0],[0,3875,3939,1,0],[1,3916,3980,1,0],[1,3980,4044,1,0],[0,4003,4067,1,0],[1,4044,4108,1,0],[0,4067,4131,1,0],[1,4108,4172,1,0],[0,4131,4195,1,0],[1,4172,4236,1,0],[0,4195,4259,1,0],[1,4236,4300,1,0],[0,4259,4323,1,0],[1,4300,4364,1,0],[0,4323,4387,1,0],[1,4364,4428,1,0],[0,4387,4451,1,0],[1,4428,4492,1,0],[0,4451,4515,1,0],[1,4492,4556,1,0],[0,4515,4579,1,0],[1,4556,4620,1,0],[0,4579,4643,1,0],[1,4620,4684,1,0],[0,4643,4707,1,0],[1,4684,4748,1,0],[0,4707,4771,1,0],[1,4748,4812,1,0],[0,4771,4835,1,0],[1,4818,4882,1,0],[0,4835,4899,1,0],[1,4940,5004,1,0],[0,4963,5027,1,0],[1,5004,5068,1,0],[0,5027,5091,1,0],[1,5068,5132,1,0],[0,5091,5155,1,0],[1,5132,5196,1,0],[0,5155,5219,1,0],[1,5196,5260,1,0],[0,5219,5283,1,0],[1,5260,5324,1,0],[0,5287,5351,1,0],[1,5324,5388,1,0],[0,5351,5415,1,0],[0,5479,5543,1,0],[0,5543,5607,1,0],[0,5607,5671,1,0],[0,5735,5799,1,0],[0,5927,5991,1,0],[0,6055,6119,1,0],[0,6311,6375,1,0],[0,6567,6631,1,0]],[[0,15,79,1,0],[1,116,180,1,0],[0,117,181,1,0],[1,180,244,1,0],[0,181,245,1,0],[1,244,308,1,0],[0,256,288,1,0],[0,288,320,1,0],[1,308,372,1,0],[0,320,384,1,0],[1,372,436,1,0],[0,384,448,1,0],[1,436,500,1,0],[0,448,512,1,0],[1,500,564,1,0],[0,512,576,1,0],[1,564,628,1,0],[0,576,640,1,0],[1,628,692,1,0],[0,640,704,1,0],[1,692,756,1,0],[0,704,768,1,0],[1,756,820,1,0],[0,768,832,1,0],[1,820,884,1,0],[0,832,896,1,0],[1,884,948,1,0],[0,896,960,1,0],[1,948,1012,1,0],[0,960,992,1,0],[0,992,1024,1,0],[1,1012,1076,1,0],[0,1024,1056,1,0],[0,1056,1088,1,0],[1,1076,1140,1,0],[0,1088,1120,1,0],[0,1120,1152,1,0],[0,1152,1184,1,0],[1,1160,1224,1,0],[0,1184,1216,1,0],[0,1216,1248,1,0],[1,1224,1288,1,0],[0,1251,1315,1,0],[1,1288,1352,1,0],[0,1315,1379,1,0],[1,1352,1416,1,0],[0,1379,1443,1,0],[1,1416,1480,1,0],[0,1443,1475,1,0],[0,1477,1541,1,0],[1,1480,1544,1,0],[1,1544,1608,1,0],[0,1568,1600,1,0],[0,1600,1664,1,0],[1,1608,1672,1,0],[0,1664,1696,1,0],[1,1672,1736,1,0],[0,1699,1763,1,0],[1,1736,1800,1,0],[0,1763,1827,1,0],[1,1803,1867,1,0],[0,1827,1859,1,0],[0,1859,1923,1,0],[1,1867,1931,1,0],[0,1923,1955,1,0],[1,1931,1995,1,0],[0,1955,2019,1,0],[1,1995,2059,1,0],[0,2019,2083,1,0],[1,2059,2123,1,0],[0,2083,2147,1,0],[1,2123,2187,1,0],[0,2147,2211,1,0],[1,2187,2251,1,0],[0,2211,2275,1,0],[1,2251,2315,1,0],[0,2275,2339,1,0],[1,2315,2379,1,0],[0,2339,2403,1,0],[1,2379,2443,1,0],[0,2403,2467,1,0],[1,2443,2507,1,0],[0,2467,2531,1,0],[1,2507,2571,1,0],[0,2531,2595,1,0],[1,2571,2635,1,0],[0,2595,2659,1,0],[1,2635,2699,1,0],[0,2659,2723,1,0],[1,2699,2763,1,0],[0,2727,2791,1,0],[1,2763,2827,1,0],[0,2791,2855,1,0],[1,2827,2891,1,0],[0,2857,2921,1,0],[1,2891,2955,1,0],[0,2921,2985,1,0],[1,2957,3021,1,0],[0,2985,3049,1,0],[1,3021,3085,1,0],[0,3049,3113,1,0],[1,3085,3149,1,0],[0,3113,3177,1,0],[1,3149,3213,1,0],[0,3177,3241,1,0],[1,3213,3277,1,0],[0,3241,3305,1,0],[1,3280,3344,1,0],[0,3305,3369,1,0],[1,3347,3411,1,0],[0,3369,3433,1,0],[1,3411,3475,1,0],[0,3435,3499,1,0],[1,3509,3573,1,0],[0,3560,3624,1,0],[1,3600,3664,1,0],[0,3624,3688,1,0],[1,3665,3729,1,0],[0,3689,3753,1,0],[1,3733,3797,1,0],[0,3753,3817,1,0],[1,3797,3861,1,0],[0,3817,3881,1,0],[0,3881,3945,1,0],[1,3921,3985,1,0],[0,3945,4009,1,0],[1,3986,4050,1,0],[0,4009,4073,1,0],[1,4053,4117,1,0],[0,4073,4137,1,0],[0,4137,4201,1,0],[1,4150,4214,1,0],[0,4201,4265,1,0],[1,4242,4306,1,0],[0,4265,4329,1,0],[1,4311,4375,1,0],[0,4329,4393,1,0],[0,4399,4463,1,0],[1,4434,4498,1,0],[0,4463,4527,1,0],[1,4503,4567,1,0],[0,4559,4623,1,0],[0,4623,4687,1,0],[1,4626,4690,1,0],[0,4687,4751,1,0],[1,4695,4759,1,0],[0,4751,4815,1,0],[1,4759,4823,1,0],[0,4815,4879,1,0],[1,4823,4887,1,0],[0,4879,4943,1,0],[0,4943,5007,1,0],[1,4946,5010,1,0],[0,5007,5071,1,0],[1,5010,5074,1,0],[0,5071,5135,1,0],[1,5074,5138,1,0],[0,5135,5199,1,0],[1,5138,5202,1,0],[0,5199,5263,1,0],[1,5202,5266,1,0],[1,5271,5335,1,0],[0,5295,5359,1,0],[1,5394,5458,1,0],[0,5423,5487,1,0],[1,5463,5527,1,0],[1,5527,5591,1,0],[0,5551,5615,1,0],[0,5615,5679,1,0],[1,5650,5714,1,0],[1,5714,5778,1,0],[0,5872,5936,1,0],[0,6000,6064,1,0],[0,6128,6192,1,0],[0,6384,6448,1,0],[0,6704,6768,1,0]],[[0,12,76,1,0],[1,69,133,1,0],[0,90,154,1,0],[1,153,217,1,0],[0,174,238,1,0],[1,217,281,1,0],[0,241,305,1,0],[1,281,345,1,0],[0,305,369,1,0],[1,345,409,1,0],[0,369,433,1,0],[1,409,473,1,0],[0,433,497,1,0],[1,473,537,1,0],[0,497,561,1,0],[1,537,601,1,0],[0,561,625,1,0],[1,601,665,1,0],[0,625,689,1,0],[1,665,729,1,0],[0,689,753,1,0],[1,729,793,1,0],[0,753,817,1,0],[1,793,857,1,0],[0,817,881,1,0],[1,857,921,1,0],[0,881,945,1,0],[1,922,986,1,0],[0,945,1009,1,0],[1,986,1050,1,0],[0,1009,1073,1,0],[1,1050,1114,1,0],[0,1073,1137,1,0],[1,1114,1178,1,0],[0,1137,1201,1,0],[1,1178,1242,1,0],[0,1201,1265,1,0],[1,1242,1306,1,0],[0,1265,1329,1,0],[1,1306,1370,1,0],[0,1329,1393,1,0],[1,1370,1434,1,0],[0,1394,1458,1,0],[1,1434,1498,1,0],[0,1458,1522,1,0],[1,1498,1562,1,0],[0,1522,1586,1,0],[0,1586,1650,1,0],[1,1588,1652,1,0],[0,1650,1714,1,0],[1,1652,1716,1,0],[0,1714,1778,1,0],[1,1716,1780,1,0],[0,1778,1842,1,0],[1,1780,1844,1,0],[0,1842,1906,1,0],[1,1844,1908,1,0],[0,1906,1970,1,0],[1,1908,1972,1,0],[1,1972,2036,1,0],[0,1973,2037,1,0],[1,2036,2100,1,0],[0,2037,2101,1,0],[1,2100,2164,1,0],[0,2101,2165,1,0],[1,2164,2228,1,0],[0,2182,2214,1,0],[0,2218,2282,1,0],[1,2228,2292,1,0],[0,2286,2350,1,0],[1,2292,2356,1,0],[0,2350,2414,1,0],[1,2356,2420,1,0],[0,2414,2478,1,0],[1,2420,2484,1,0],[0,2478,2542,1,0],[1,2484,2548,1,0],[0,2542,2606,1,0],[1,2548,2612,1,0],[0,2606,2670,1,0],[1,2612,2676,1,0],[0,2670,2734,1,0],[1,2676,2740,1,0],[0,2734,2798,1,0],[1,2740,2804,1,0],[0,2798,2862,1,0],[1,2804,2868,1,0],[0,2862,2926,1,0],[1,2868,2932,1,0],[0,2926,2990,1,0],[1,2932,2996,1,0],[0,2990,3054,1,0],[1,2996,3060,1,0],[0,3054,3118,1,0],[1,3060,3124,1,0],[0,3118,3182,1,0],[1,3124,3188,1,0],[0,3182,3246,1,0],[1,3188,3252,1,0],[0,3246,3310,1,0],[1,3252,3316,1,0],[0,3310,3374,1,0],[1,3350,3414,1,0],[0,3380,3444,1,0],[1,3414,3478,1,0],[1,3478,3542,1,0],[0,3502,3566,1,0],[1,3542,3606,1,0],[0,3566,3630,1,0],[0,3630,3694,1,0],[1,3632,3696,1,0],[0,3694,3758,1,0],[0,3758,3790,1,0],[1,3760,3824,1,0],[0,3790,3854,1,0],[0,3854,3918,1,0],[1,3888,3952,1,0],[0,3918,3982,1,0],[1,3952,4016,1,0],[0,3984,4016,1,0],[1,4016,4080,1,0],[0,4017,4049,1,0],[0,4049,4113,1,0],[1,4087,4151,1,0],[0,4141,4205,1,0],[1,4151,4215,1,0],[0,4205,4237,1,0],[1,4215,4279,1,0],[0,4237,4301,1,0],[1,4279,4343,1,0],[0,4301,4365,1,0],[1,4343,4407,1,0],[0,4365,4429,1,0],[1,4407,4471,1,0],[0,4429,4493,1,0],[1,4471,4535,1,0],[0,4493,4557,1,0],[1,4535,4599,1,0],[0,4557,4621,1,0],[1,4599,4663,1,0],[0,4624,4656,1,0],[1,4664,4728,1,0],[0,4685,4749,1,0],[1,4728,4792,1,0],[0,4752,4784,1,0],[1,4792,4856,1,0],[0,4817,4881,1,0],[1,4856,4920,1,0],[0,4881,4945,1,0],[1,4920,4984,1,0],[0,4945,5009,1,0],[1,4984,5048,1,0],[0,5009,5073,1,0],[1,5048,5112,1,0],[0,5073,5137,1,0],[1,5112,5176,1,0],[0,5137,5169,1,0],[0,5169,5233,1,0],[1,5176,5240,1,0],[0,5233,5265,1,0],[1,5240,5304,1,0],[0,5265,5329,1,0],[1,5304,5368,1,0],[0,5329,5361,1,0],[0,5361,5393,1,0],[0,5393,5425,1,0],[0,5425,5457,1,0],[1,5432,5496,1,0],[0,5457,5489,1,0],[0,5521,5585,1,0],[0,5649,5713,1,0],[0,5713,5777,1,0],[0,5777,5841,1,0],[0,5841,5905,1,0],[0,6577,6609,1,0],[0,6737,6769,1,0]],[[0,13,77,1,0],[0,117,181,1,0],[1,120,184,1,0],[0,181,245,1,0],[1,184,248,1,0],[1,248,312,1,0],[0,255,287,1,0],[0,287,319,1,0],[1,312,376,1,0],[0,319,383,1,0],[1,376,440,1,0],[0,383,447,1,0],[1,440,504,1,0],[0,447,511,1,0],[1,504,568,1,0],[0,511,575,1,0],[1,568,632,1,0],[0,575,639,1,0],[1,632,696,1,0],[0,639,703,1,0],[1,696,760,1,0],[0,703,767,1,0],[1,760,824,1,0],[0,767,831,1,0],[1,824,888,1,0],[0,831,895,1,0],[1,888,952,1,0],[0,895,959,1,0],[1,952,1016,1,0],[0,959,991,1,0],[0,991,1023,1,0],[1,1016,1080,1,0],[0,1023,1055,1,0],[0,1055,1087,1,0],[1,1080,1144,1,0],[0,1087,1119,1,0],[0,1119,1151,1,0],[0,1151,1183,1,0],[1,1160,1224,1,0],[0,1189,1253,1,0],[0,1253,1317,1,0],[1,1256,1320,1,0],[0,1317,1381,1,0],[1,1320,1384,1,0],[0,1381,1445,1,0],[1,1421,1485,1,0],[0,1445,1509,1,0],[0,1509,1573,1,0],[1,1516,1580,1,0],[0,1573,1637,1,0],[1,1613,1677,1,0],[0,1669,1701,1,0],[0,1701,1765,1,0],[1,1741,1805,1,0],[0,1765,1797,1,0],[0,1797,1861,1,0],[1,1806,1870,1,0],[0,1861,1925,1,0],[1,1870,1934,1,0],[0,1925,1957,1,0],[1,1934,1998,1,0],[0,1957,2021,1,0],[1,1998,2062,1,0],[0,2021,2085,1,0],[1,2062,2126,1,0],[0,2085,2149,1,0],[1,2126,2190,1,0],[0,2149,2213,1,0],[0,2213,2277,1,0],[1,2222,2286,1,0],[0,2277,2309,1,0],[0,2309,2373,1,0],[1,2318,2382,1,0],[0,2373,2405,1,0],[1,2382,2446,1,0],[0,2405,2437,1,0],[0,2437,2501,1,0],[1,2446,2510,1,0],[0,2501,2565,1,0],[1,2510,2574,1,0],[0,2565,2629,1,0],[1,2574,2638,1,0],[0,2655,2687,1,0],[1,2670,2734,1,0],[0,2725,2789,1,0],[1,2766,2830,1,0],[0,2789,2853,1,0],[0,2853,2917,1,0],[1,2862,2926,1,0],[0,2917,2981,1,0],[1,2926,2990,1,0],[0,2981,3045,1,0],[1,3023,3087,1,0],[0,3045,3109,1,0],[1,3087,3151,1,0],[0,3109,3173,1,0],[0,3173,3237,1,0],[1,3182,3246,1,0],[0,3238,3302,1,0],[1,3279,3343,1,0],[0,3302,3366,1,0],[0,3366,3430,1,0],[1,3407,3471,1,0],[0,3430,3494,1,0],[1,3471,3535,1,0],[0,3494,3558,1,0],[0,3558,3622,1,0],[1,3599,3663,1,0],[1,3663,3727,1,0],[0,3686,3750,1,0],[1,3727,3791,1,0],[0,3750,3814,1,0],[1,3791,3855,1,0],[0,3814,3878,1,0],[1,3855,3919,1,0],[0,3878,3942,1,0],[1,3919,3983,1,0],[0,3942,4006,1,0],[1,3983,4047,1,0],[0,4006,4070,1,0],[1,4047,4111,1,0],[0,4070,4134,1,0],[0,4134,4198,1,0],[1,4175,4239,1,0],[0,4262,4326,1,0],[1,4303,4367,1,0],[0,4326,4390,1,0],[1,4367,4431,1,0],[0,4390,4454,1,0],[1,4431,4495,1,0],[0,4454,4518,1,0],[1,4495,4559,1,0],[0,4518,4582,1,0],[1,4559,4623,1,0],[0,4582,4646,1,0],[1,4623,4687,1,0],[0,4646,4710,1,0],[1,4687,4751,1,0],[0,4710,4774,1,0],[1,4751,4815,1,0],[0,4774,4838,1,0],[1,4815,4879,1,0],[0,4838,4902,1,0],[1,4879,4943,1,0],[0,4902,4966,1,0],[1,4943,5007,1,0],[0,4966,5030,1,0],[1,5007,5071,1,0],[0,5030,5094,1,0],[1,5071,5135,1,0],[0,5094,5158,1,0],[1,5135,5199,1,0],[0,5158,5222,1,0],[1,5199,5263,1,0],[0,5222,5286,1,0],[1,5263,5327,1,0],[0,5286,5350,1,0],[1,5327,5391,1,0],[1,5391,5455,1,0],[0,5418,5482,1,0],[1,5455,5519,1,0],[0,5482,5546,1,0],[1,5519,5583,1,0],[0,5546,5610,1,0],[1,5583,5647,1,0],[0,5610,5674,1,0],[1,5647,5711,1,0],[0,5674,5738,1,0],[1,5711,5775,1,0],[1,5775,5839,1,0],[1,5839,5903,1,0],[0,5866,5930,1,0],[1,5903,5967,1,0],[0,6058,6122,1,0],[0,6186,6250,1,0],[0,6314,6378,1,0]],[[0,10,74,1,0],[1,69,133,1,0],[0,89,153,1,0],[1,155,219,1,0],[0,173,237,1,0],[1,219,283,1,0],[0,239,303,1,0],[1,283,347,1,0],[0,303,367,1,0],[1,347,411,1,0],[0,370,434,1,0],[1,415,479,1,0],[0,438,502,1,0],[1,479,543,1,0],[0,502,566,1,0],[1,543,607,1,0],[0,566,630,1,0],[1,607,671,1,0],[0,632,696,1,0],[1,671,735,1,0],[0,696,760,1,0],[1,737,801,1,0],[0,760,824,1,0],[1,801,865,1,0],[0,824,888,1,0],[1,865,929,1,0],[0,888,920,1,0],[0,920,984,1,0],[1,929,993,1,0],[0,984,1048,1,0],[1,993,1057,1,0],[0,1048,1112,1,0],[1,1057,1121,1,0],[0,1112,1176,1,0],[1,1121,1185,1,0],[0,1176,1240,1,0],[1,1185,1249,1,0],[1,1249,1313,1,0],[0,1250,1314,1,0],[1,1313,1377,1,0],[0,1314,1378,1,0],[1,1377,1441,1,0],[0,1378,1442,1,0],[1,1441,1505,1,0],[0,1442,1506,1,0],[1,1505,1569,1,0],[0,1506,1570,1,0],[1,1569,1633,1,0],[0,1570,1634,1,0],[1,1633,1697,1,0],[0,1634,1698,1,0],[1,1697,1761,1,0],[0,1698,1762,1,0],[1,1761,1825,1,0],[0,1762,1826,1,0],[1,1825,1889,1,0],[0,1826,1890,1,0],[1,1889,1953,1,0],[0,1890,1954,1,0],[1,1961,2025,1,0],[0,1984,2048,1,0],[1,2025,2089,1,0],[0,2049,2113,1,0],[1,2089,2153,1,0],[0,2113,2177,1,0],[1,2153,2217,1,0],[0,2177,2241,1,0],[1,2217,2281,1,0],[0,2241,2305,1,0],[1,2281,2345,1,0],[0,2305,2369,1,0],[1,2345,2409,1,0],[0,2369,2433,1,0],[1,2409,2473,1,0],[0,2433,2497,1,0],[1,2473,2537,1,0],[0,2497,2561,1,0],[1,2537,2601,1,0],[0,2561,2625,1,0],[1,2601,2665,1,0],[0,2625,2689,1,0],[1,2665,2729,1,0],[0,2689,2753,1,0],[1,2729,2793,1,0],[0,2753,2817,1,0],[1,2793,2857,1,0],[0,2817,2881,1,0],[1,2857,2921,1,0],[0,2881,2945,1,0],[1,2921,2985,1,0],[0,2945,3009,1,0],[1,2985,3049,1,0],[0,3009,3073,1,0],[1,3049,3113,1,0],[0,3073,3137,1,0],[1,3113,3177,1,0],[0,3137,3201,1,0],[1,3177,3241,1,0],[0,3201,3265,1,0],[1,3241,3305,1,0],[0,3265,3329,1,0],[1,3306,3370,1,0],[0,3332,3396,1,0],[1,3394,3458,1,0],[0,3427,3459,1,0],[0,3459,3523,1,0],[1,3501,3565,1,0],[0,3523,3555,1,0],[0,3555,3619,1,0],[1,3565,3629,1,0],[0,3619,3683,1,0],[1,3629,3693,1,0],[0,3683,3747,1,0],[1,3693,3757,1,0],[1,3757,3821,1,0],[0,3769,3833,1,0],[1,3821,3885,1,0],[0,3833,3897,1,0],[1,3885,3949,1,0],[0,3897,3961,1,0],[1,3949,4013,1,0],[0,3961,3993,1,0],[0,3993,4057,1,0],[1,4013,4077,1,0],[0,4057,4121,1,0],[1,4077,4141,1,0],[0,4121,4185,1,0],[1,4162,4226,1,0],[0,4185,4217,1,0],[0,4217,4281,1,0],[1,4226,4290,1,0],[0,4281,4345,1,0],[1,4290,4354,1,0],[0,4345,4409,1,0],[1,4354,4418,1,0],[0,4409,4473,1,0],[1,4425,4489,1,0],[0,4474,4506,1,0],[0,4506,4570,1,0],[1,4521,4585,1,0],[0,4582,4614,1,0],[1,4585,4649,1,0],[0,4614,4646,1,0],[0,4646,4678,1,0],[1,4674,4738,1,0],[0,4678,4710,1,0],[0,4710,4742,1,0],[0,4742,4774,1,0],[0,4774,4806,1,0],[1,4802,4866,1,0],[0,4806,4838,1,0],[0,4838,4902,1,0],[0,4902,4966,1,0],[1,4930,4994,1,0],[0,4966,5030,1,0],[1,4994,5058,1,0],[0,5030,5094,1,0],[0,5094,5158,1,0],[1,5122,5186,1,0],[0,5158,5222,1,0],[1,5186,5250,1,0],[0,5222,5286,1,0],[0,5286,5350,1,0],[1,5314,5378,1,0],[0,5350,5414,1,0],[1,5378,5442,1,0],[0,5414,5478,1,0],[1,5442,5506,1,0],[0,5478,5542,1,0],[1,5506,5570,1,0],[0,5542,5606,1,0],[1,5570,5634,1,0],[0,5606,5670,1,0],[0,5670,5734,1,0],[0,6244,6276,1,0],[0,6436,6468,1,0]],[[0,44,108,1,0],[1,69,133,1,0],[0,113,177,1,0],[1,133,197,1,0],[0,177,241,1,0],[1,221,285,1,0],[0,244,308,1,0],[1,285,349,1,0],[0,308,372,1,0],[1,349,413,1,0],[0,372,436,1,0],[1,413,477,1,0],[0,436,500,1,0],[1,477,541,1,0],[0,500,564,1,0],[0,564,628,1,0],[1,573,637,1,0],[0,628,692,1,0],[1,637,701,1,0],[0,692,756,1,0],[1,701,765,1,0],[0,756,820,1,0],[1,765,829,1,0],[0,820,884,1,0],[1,829,893,1,0],[0,884,948,1,0],[1,893,957,1,0],[0,948,1012,1,0],[1,957,1021,1,0],[0,1012,1076,1,0],[1,1021,1085,1,0],[0,1077,1141,1,0],[1,1085,1149,1,0],[0,1141,1205,1,0],[1,1175,1239,1,0],[0,1205,1269,1,0],[1,1239,1303,1,0],[0,1269,1333,1,0],[1,1303,1367,1,0],[0,1333,1397,1,0],[1,1376,1440,1,0],[0,1423,1487,1,0],[1,1463,1527,1,0],[0,1487,1519,1,0],[0,1519,1583,1,0],[1,1527,1591,1,0],[0,1583,1647,1,0],[1,1591,1655,1,0],[0,1647,1679,1,0],[1,1661,1725,1,0],[0,1679,1743,1,0],[1,1725,1789,1,0],[0,1743,1807,1,0],[1,1789,1853,1,0],[0,1807,1871,1,0],[1,1853,1917,1,0],[0,1871,1935,1,0],[1,1917,1981,1,0],[0,1935,1999,1,0],[1,1981,2045,1,0],[0,1999,2063,1,0],[0,2063,2127,1,0],[1,2073,2137,1,0],[0,2127,2191,1,0],[1,2137,2201,1,0],[0,2191,2255,1,0],[1,2201,2265,1,0],[0,2255,2319,1,0],[1,2265,2329,1,0],[0,2319,2383,1,0],[1,2329,2393,1,0],[0,2383,2447,1,0],[1,2393,2457,1,0],[0,2447,2511,1,0],[1,2457,2521,1,0],[0,2511,2575,1,0],[1,2521,2585,1,0],[0,2575,2639,1,0],[1,2585,2649,1,0],[0,2639,2703,1,0],[1,2649,2713,1,0],[0,2703,2767,1,0],[1,2713,2777,1,0],[0,2767,2831,1,0],[1,2777,2841,1,0],[0,2831,2895,1,0],[1,2841,2905,1,0],[0,2895,2959,1,0],[1,2905,2969,1,0],[0,2959,3023,1,0],[1,2969,3033,1,0],[0,3023,3087,1,0],[1,3033,3097,1,0],[1,3097,3161,1,0],[0,3117,3181,1,0],[1,3161,3225,1,0],[0,3185,3249,1,0],[1,3225,3289,1,0],[0,3249,3313,1,0],[1,3289,3353,1,0],[0,3313,3377,1,0],[1,3353,3417,1,0],[0,3377,3441,1,0],[1,3417,3481,1,0],[0,3441,3505,1,0],[1,3481,3545,1,0],[0,3505,3569,1,0],[1,3545,3609,1,0],[0,3575,3639,1,0],[1,3609,3673,1,0],[0,3639,3703,1,0],[1,3701,3765,1,0],[0,3703,3767,1,0],[0,3767,3831,1,0],[1,3773,3837,1,0],[0,3831,3895,1,0],[1,3837,3901,1,0],[0,3895,3959,1,0],[1,3957,4021,1,0],[0,3959,4023,1,0],[0,4052,4084,1,0],[0,4084,4148,1,0],[1,4085,4149,1,0],[0,4148,4212,1,0],[1,4149,4213,1,0],[0,4212,4276,1,0],[1,4219,4283,1,0],[0,4306,4370,1,0],[1,4348,4412,1,0],[0,4370,4434,1,0],[0,4434,4498,1,0],[1,4476,4540,1,0],[0,4498,4562,1,0],[0,4562,4626,1,0],[1,4604,4668,1,0],[0,4627,4691,1,0],[0,4691,4755,1,0],[1,4732,4796,1,0],[0,4755,4819,1,0],[0,4819,4883,1,0],[1,4860,4924,1,0],[0,4883,4947,1,0],[0,4947,5011,1,0],[1,4989,5053,1,0],[0,5011,5075,1,0],[1,5053,5117,1,0],[0,5075,5139,1,0],[1,5117,5181,1,0],[0,5139,5203,1,0],[1,5181,5245,1,0],[0,5203,5267,1,0],[1,5245,5309,1,0],[0,5267,5331,1,0],[1,5309,5373,1,0],[0,5331,5395,1,0],[1,5373,5437,1,0],[1,5437,5501,1,0],[0,5492,5524,1,0],[1,5564,5628,1,0],[0,5588,5620,1,0],[1,5628,5692,1,0],[0,5652,5684,1,0],[1,5692,5756,1,0],[0,5716,5748,1,0],[1,5756,5820,1,0],[0,5812,5844,1,0],[1,5820,5884,1,0],[1,5884,5948,1,0],[0,5908,5940,1,0],[0,6004,6036,1,0],[0,6100,6132,1,0],[0,6196,6228,1,0],[0,6324,6356,1,0],[0,6452,6484,1,0],[0,6612,6644,1,0],[0,6772,6804,1,0]],[[0,47,111,1,0],[1,69,133,1,0],[0,111,175,1,0],[1,133,197,1,0],[0,178,242,1,0],[1,219,283,1,0],[0,245,309,1,0],[1,283,347,1,0],[0,309,373,1,0],[1,347,411,1,0],[0,373,437,1,0],[1,414,478,1,0],[0,441,505,1,0],[1,482,546,1,0],[0,539,571,1,0],[0,571,635,1,0],[1,603,667,1,0],[0,635,699,1,0],[1,676,740,1,0],[0,699,763,1,0],[1,740,804,1,0],[0,763,827,1,0],[0,827,891,1,0],[1,872,936,1,0],[0,891,955,1,0],[0,955,1019,1,0],[1,964,1028,1,0],[0,1019,1083,1,0],[1,1028,1092,1,0],[0,1083,1147,1,0],[1,1092,1156,1,0],[0,1147,1211,1,0],[1,1156,1220,1,0],[0,1211,1275,1,0],[1,1220,1284,1,0],[0,1275,1339,1,0],[1,1294,1358,1,0],[0,1339,1403,1,0],[1,1358,1422,1,0],[0,1403,1467,1,0],[1,1422,1486,1,0],[0,1467,1531,1,0],[1,1486,1550,1,0],[0,1531,1595,1,0],[1,1550,1614,1,0],[0,1595,1659,1,0],[1,1614,1678,1,0],[0,1659,1723,1,0],[1,1678,1742,1,0],[0,1723,1787,1,0],[1,1742,1806,1,0],[0,1787,1851,1,0],[1,1806,1870,1,0],[0,1851,1915,1,0],[1,1900,1964,1,0],[0,1915,1979,1,0],[1,1964,2028,1,0],[0,1988,2052,1,0],[1,2028,2092,1,0],[0,2052,2116,1,0],[0,2116,2180,1,0],[1,2125,2189,1,0],[0,2180,2244,1,0],[1,2189,2253,1,0],[0,2244,2308,1,0],[1,2253,2317,1,0],[0,2308,2372,1,0],[1,2317,2381,1,0],[0,2372,2436,1,0],[1,2413,2477,1,0],[0,2469,2533,1,0],[1,2510,2574,1,0],[0,2533,2597,1,0],[0,2597,2661,1,0],[1,2605,2669,1,0],[0,2661,2725,1,0],[1,2669,2733,1,0],[0,2725,2789,1,0],[1,2733,2797,1,0],[0,2789,2853,1,0],[1,2797,2861,1,0],[0,2853,2917,1,0],[1,2861,2925,1,0],[0,2917,2981,1,0],[1,2925,2989,1,0],[0,2981,3045,1,0],[1,2989,3053,1,0],[0,3045,3109,1,0],[1,3053,3117,1,0],[0,3109,3173,1,0],[1,3117,3181,1,0],[0,3173,3237,1,0],[1,3181,3245,1,0],[1,3245,3309,1,0],[0,3260,3292,1,0],[0,3292,3356,1,0],[1,3309,3373,1,0],[0,3356,3420,1,0],[1,3376,3440,1,0],[0,3420,3484,1,0],[1,3440,3504,1,0],[0,3484,3548,1,0],[1,3504,3568,1,0],[0,3548,3612,1,0],[1,3568,3632,1,0],[0,3612,3644,1,0],[1,3632,3696,1,0],[0,3644,3708,1,0],[1,3696,3760,1,0],[0,3708,3772,1,0],[1,3760,3824,1,0],[0,3772,3804,1,0],[0,3804,3868,1,0],[1,3824,3888,1,0],[0,3868,3932,1,0],[1,3888,3952,1,0],[0,3932,3996,1,0],[1,3952,4016,1,0],[0,3996,4060,1,0],[1,4048,4112,1,0],[0,4060,4124,1,0],[0,4124,4188,1,0],[1,4133,4197,1,0],[0,4188,4252,1,0],[1,4197,4261,1,0],[0,4252,4284,1,0],[1,4272,4336,1,0],[0,4284,4348,1,0],[1,4368,4432,1,0],[0,4391,4423,1,0],[0,4423,4487,1,0],[1,4453,4517,1,0],[0,4487,4551,1,0],[0,4551,4583,1,0],[1,4560,4624,1,0],[0,4583,4647,1,0],[0,4647,4711,1,0],[1,4656,4720,1,0],[0,4711,4775,1,0],[1,4720,4784,1,0],[0,4775,4839,1,0],[1,4784,4848,1,0],[0,4839,4903,1,0],[1,4848,4912,1,0],[0,4903,4967,1,0],[1,4912,4976,1,0],[0,4967,5031,1,0],[1,4979,5043,1,0],[0,5031,5095,1,0],[1,5043,5107,1,0],[0,5095,5127,1,0],[1,5107,5171,1,0],[0,5127,5191,1,0],[1,5171,5235,1,0],[0,5191,5255,1,0],[1,5253,5317,1,0],[0,5255,5319,1,0],[1,5317,5381,1,0],[0,5319,5351,1,0],[0,5351,5415,1,0],[1,5381,5445,1,0],[0,5415,5479,1,0],[1,5477,5541,1,0],[0,5479,5543,1,0],[0,5543,5575,1,0],[1,5573,5637,1,0],[0,5575,5639,1,0],[1,5658,5722,1,0],[1,5722,5786,1,0],[0,5735,5767,1,0],[1,5786,5850,1,0],[0,5831,5863,1,0],[0,5959,5991,1,0],[0,6119,6151,1,0],[0,6311,6343,1,0],[0,6503,6535,1,0]],[[0,44,116,1,0],[1,71,143,1,0],[0,116,180,1,0],[1,143,215,1,0],[0,180,252,1,0],[1,215,287,1,0],[0,252,324,1,0],[1,287,359,1,0],[0,332,404,1,0],[1,359,431,1,0],[0,404,476,1,0],[1,431,503,1,0],[0,493,557,1,0],[1,503,575,1,0],[0,557,629,1,0],[1,575,647,1,0],[0,645,709,1,0],[1,647,719,1,0],[0,709,781,1,0],[1,719,791,1,0],[1,791,863,1,0],[0,798,870,1,0],[1,863,935,1,0],[0,870,942,1,0],[1,935,1007,1,0],[0,942,1014,1,0],[1,1007,1079,1,0],[0,1014,1086,1,0],[1,1079,1151,1,0],[0,1093,1157,1,0],[1,1151,1223,1,0],[0,1157,1221,1,0],[1,1223,1295,1,0],[0,1245,1309,1,0],[1,1295,1367,1,0],[0,1323,1395,1,0],[1,1367,1439,1,0],[0,1397,1469,1,0],[1,1439,1511,1,0],[0,1469,1541,1,0],[1,1511,1583,1,0],[0,1541,1613,1,0],[1,1583,1655,1,0],[0,1613,1685,1,0],[1,1655,1727,1,0],[1,1727,1799,1,0],[0,1732,1804,1,0],[1,1799,1871,1,0],[0,1806,1878,1,0],[1,1871,1943,1,0],[0,1901,1973,1,0],[1,1943,2015,1,0],[0,1973,2045,1,0],[1,2015,2087,1,0],[0,2045,2117,1,0],[1,2087,2159,1,0],[0,2117,2189,1,0],[1,2159,2231,1,0],[0,2189,2261,1,0],[1,2231,2303,1,0],[1,2303,2375,1,0],[0,2308,2380,1,0],[1,2375,2447,1,0],[0,2382,2454,1,0],[1,2447,2519,1,0],[0,2454,2526,1,0],[1,2519,2591,1,0],[0,2526,2598,1,0],[1,2591,2663,1,0],[0,2621,2693,1,0],[1,2663,2735,1,0],[0,2693,2765,1,0],[1,2735,2807,1,0],[0,2765,2837,1,0],[1,2807,2879,1,0],[0,2837,2909,1,0],[1,2879,2951,1,0],[0,2909,2981,1,0],[1,2951,3023,1,0],[0,2981,3053,1,0],[1,3024,3096,1,0],[0,3053,3125,1,0],[1,3096,3168,1,0],[1,3168,3240,1,0],[0,3174,3246,1,0],[1,3241,3313,1,0],[0,3246,3310,1,0],[0,3310,3374,1,0],[1,3313,3385,1,0],[0,3374,3446,1,0],[1,3385,3457,1,0],[0,3446,3518,1,0],[1,3457,3529,1,0],[0,3518,3590,1,0],[1,3529,3601,1,0],[0,3590,3654,1,0],[1,3601,3673,1,0],[0,3654,3718,1,0],[1,3673,3745,1,0],[0,3718,3782,1,0],[1,3745,3817,1,0],[0,3782,3846,1,0],[1,3817,3889,1,0],[0,3846,3910,1,0],[1,3889,3961,1,0],[0,3919,3991,1,0],[0,3991,4063,1,0],[1,4024,4096,1,0],[0,4063,4135,1,0],[1,4105,4177,1,0],[0,4135,4207,1,0],[1,4177,4249,1,0],[0,4207,4279,1,0],[1,4249,4321,1,0],[1,4321,4393,1,0],[0,4326,4390,1,0],[0,4390,4454,1,0],[1,4393,4465,1,0],[0,4454,4518,1,0],[1,4465,4537,1,0],[0,4518,4590,1,0],[1,4537,4609,1,0],[0,4590,4662,1,0],[1,4609,4681,1,0],[0,4662,4734,1,0],[1,4681,4753,1,0],[0,4734,4806,1,0],[1,4753,4825,1,0],[0,4806,4878,1,0],[1,4825,4897,1,0],[0,4878,4950,1,0],[1,4897,4969,1,0],[0,4950,5022,1,0],[1,4969,5041,1,0],[0,5022,5094,1,0],[1,5041,5113,1,0],[0,5094,5166,1,0],[1,5113,5185,1,0],[0,5166,5238,1,0],[1,5185,5257,1,0],[0,5238,5310,1,0],[1,5273,5345,1,0],[0,5310,5382,1,0],[0,5382,5454,1,0],[1,5401,5473,1,0],[0,5454,5526,1,0],[1,5473,5545,1,0],[0,5526,5598,1,0],[1,5617,5689,1,0],[0,5639,5711,1,0],[1,5689,5761,1,0],[0,5711,5783,1,0],[1,5761,5833,1,0],[0,5783,5855,1,0],[1,5833,5905,1,0],[0,5855,5927,1,0],[0,5927,5999,1,0],[1,5977,6049,1,0],[0,6071,6143,1,0],[1,6121,6193,1,0]],[[0,20,84,1,0],[1,71,143,1,0],[0,100,172,1,0],[1,148,220,1,0],[0,172,244,1,0],[1,231,303,1,0],[0,262,334,1,0],[1,306,378,1,0],[0,334,406,1,0],[1,378,450,1,0],[0,406,478,1,0],[1,450,522,1,0],[0,478,550,1,0],[1,522,594,1,0],[0,550,622,1,0],[1,597,669,1,0],[0,641,705,1,0],[1,669,741,1,0],[0,705,777,1,0],[1,744,816,1,0],[0,807,879,1,0],[1,816,888,1,0],[0,879,943,1,0],[1,888,960,1,0],[0,943,1007,1,0],[1,960,1032,1,0],[0,1007,1079,1,0],[1,1032,1104,1,0],[0,1079,1151,1,0],[1,1104,1176,1,0],[0,1162,1226,1,0],[1,1195,1267,1,0],[0,1226,1290,1,0],[1,1281,1353,1,0],[0,1290,1354,1,0],[1,1353,1425,1,0],[0,1377,1441,1,0],[1,1425,1497,1,0],[0,1455,1527,1,0],[1,1497,1569,1,0],[0,1529,1593,1,0],[1,1569,1641,1,0],[0,1599,1671,1,0],[1,1641,1713,1,0],[0,1671,1735,1,0],[1,1713,1785,1,0],[0,1743,1815,1,0],[1,1785,1857,1,0],[0,1815,1887,1,0],[1,1857,1929,1,0],[0,1918,1990,1,0],[1,1929,2001,1,0],[1,2001,2073,1,0],[0,2023,2095,1,0],[1,2073,2145,1,0],[0,2103,2175,1,0],[1,2145,2217,1,0],[0,2175,2247,1,0],[1,2217,2289,1,0],[0,2247,2319,1,0],[1,2289,2361,1,0],[0,2350,2422,1,0],[1,2361,2433,1,0],[0,2422,2494,1,0],[1,2433,2505,1,0],[0,2505,2569,1,0],[1,2517,2589,1,0],[0,2569,2641,1,0],[1,2589,2661,1,0],[0,2657,2721,1,0],[1,2661,2733,1,0],[0,2722,2794,1,0],[1,2733,2805,1,0],[1,2805,2877,1,0],[0,2809,2873,1,0],[1,2877,2949,1,0],[0,2887,2959,1,0],[1,2949,3021,1,0],[0,2959,3031,1,0],[0,3031,3103,1,0],[1,3061,3133,1,0],[0,3103,3175,1,0],[1,3133,3205,1,0],[0,3175,3247,1,0],[1,3205,3277,1,0],[0,3247,3319,1,0],[1,3277,3349,1,0],[0,3319,3391,1,0],[1,3349,3421,1,0],[0,3391,3463,1,0],[1,3421,3493,1,0],[0,3463,3535,1,0],[1,3493,3565,1,0],[0,3566,3638,1,0],[1,3606,3678,1,0],[0,3638,3710,1,0],[1,3678,3750,1,0],[0,3710,3782,1,0],[1,3750,3822,1,0],[0,3782,3854,1,0],[1,3822,3894,1,0],[0,3865,3929,1,0],[1,3894,3966,1,0],[0,3952,4016,1,0],[1,3966,4038,1,0],[0,4016,4080,1,0],[1,4038,4110,1,0],[0,4080,4152,1,0],[1,4110,4182,1,0],[0,4152,4224,1,0],[1,4182,4254,1,0],[0,4224,4296,1,0],[1,4254,4326,1,0],[0,4296,4368,1,0],[1,4328,4400,1,0],[0,4368,4440,1,0],[1,4404,4476,1,0],[0,4440,4512,1,0],[1,4534,4606,1,0],[0,4562,4634,1,0],[1,4612,4684,1,0],[0,4634,4706,1,0],[1,4684,4756,1,0],[0,4706,4778,1,0],[1,4756,4828,1,0],[0,4778,4850,1,0],[1,4828,4900,1,0],[0,4850,4922,1,0],[1,4900,4972,1,0],[0,4922,4994,1,0],[1,4972,5044,1,0],[0,4994,5066,1,0],[1,5044,5116,1,0],[0,5066,5138,1,0],[1,5118,5190,1,0],[0,5138,5210,1,0],[1,5190,5262,1,0],[0,5210,5282,1,0],[1,5262,5334,1,0],[0,5282,5354,1,0],[1,5334,5406,1,0],[0,5354,5426,1,0],[1,5406,5478,1,0],[0,5426,5498,1,0],[1,5478,5550,1,0],[0,5498,5570,1,0],[1,5622,5694,1,0],[0,5634,5706,1,0],[0,5706,5778,1,0],[1,5766,5838,1,0],[0,5778,5850,1,0],[1,5838,5910,1,0],[0,5850,5922,1,0],[1,5910,5982,1,0],[0,5922,5994,1,0],[1,5982,6054,1,0],[0,5994,6066,1,0],[1,6054,6126,1,0],[0,6066,6138,1,0],[1,6126,6198,1,0]],[[0,47,119,1,0],[1,71,143,1,0],[0,119,183,1,0],[1,143,215,1,0],[0,183,255,1,0],[1,215,287,1,0],[0,255,319,1,0],[1,291,363,1,0],[0,319,383,1,0],[1,363,435,1,0],[0,407,479,1,0],[1,435,507,1,0],[0,479,551,1,0],[1,517,589,1,0],[0,551,623,1,0],[1,589,661,1,0],[0,623,687,1,0],[1,661,733,1,0],[0,687,751,1,0],[1,733,805,1,0],[0,767,839,1,0],[1,805,877,1,0],[0,839,911,1,0],[1,893,965,1,0],[0,911,983,1,0],[0,983,1055,1,0],[1,990,1062,1,0],[0,1055,1127,1,0],[1,1062,1134,1,0],[0,1127,1199,1,0],[1,1134,1206,1,0],[1,1206,1278,1,0],[0,1237,1309,1,0],[1,1278,1350,1,0],[0,1309,1381,1,0],[1,1350,1422,1,0],[0,1406,1470,1,0],[1,1422,1494,1,0],[0,1470,1542,1,0],[1,1494,1566,1,0],[0,1559,1631,1,0],[1,1566,1638,1,0],[1,1638,1710,1,0],[0,1663,1735,1,0],[1,1710,1782,1,0],[0,1735,1807,1,0],[1,1782,1854,1,0],[0,1826,1890,1,0],[1,1854,1926,1,0],[0,1890,1962,1,0],[1,1926,1998,1,0],[0,1962,2034,1,0],[1,1998,2070,1,0],[0,2034,2106,1,0],[1,2070,2142,1,0],[0,2118,2190,1,0],[1,2142,2214,1,0],[0,2197,2269,1,0],[1,2214,2286,1,0],[1,2286,2358,1,0],[0,2318,2382,1,0],[1,2358,2430,1,0],[0,2382,2454,1,0],[1,2430,2502,1,0],[0,2454,2526,1,0],[1,2502,2574,1,0],[0,2526,2598,1,0],[1,2574,2646,1,0],[0,2598,2670,1,0],[1,2646,2718,1,0],[0,2670,2742,1,0],[1,2718,2790,1,0],[0,2766,2838,1,0],[1,2790,2862,1,0],[0,2838,2910,1,0],[1,2862,2934,1,0],[0,2910,2982,1,0],[1,2934,3006,1,0],[0,2982,3054,1,0],[1,3006,3078,1,0],[0,3054,3126,1,0],[1,3078,3150,1,0],[0,3126,3198,1,0],[1,3150,3222,1,0],[0,3198,3270,1,0],[1,3222,3294,1,0],[0,3276,3348,1,0],[1,3294,3366,1,0],[1,3366,3438,1,0],[0,3406,3478,1,0],[1,3438,3510,1,0],[0,3486,3558,1,0],[1,3510,3582,1,0],[0,3558,3630,1,0],[1,3582,3654,1,0],[0,3630,3702,1,0],[1,3654,3726,1,0],[0,3702,3774,1,0],[1,3726,3798,1,0],[0,3774,3846,1,0],[1,3798,3870,1,0],[0,3846,3910,1,0],[1,3889,3961,1,0],[0,3910,3974,1,0],[1,3961,4033,1,0],[0,3974,4038,1,0],[0,4038,4110,1,0],[1,4049,4121,1,0],[0,4110,4174,1,0],[1,4121,4193,1,0],[0,4174,4238,1,0],[1,4193,4265,1,0],[0,4238,4302,1,0],[1,4265,4337,1,0],[1,4337,4409,1,0],[0,4364,4436,1,0],[1,4409,4481,1,0],[0,4436,4500,1,0],[0,4500,4564,1,0],[1,4535,4607,1,0],[0,4580,4652,1,0],[1,4607,4679,1,0],[0,4652,4724,1,0],[1,4679,4751,1,0],[0,4724,4796,1,0],[1,4751,4823,1,0],[0,4796,4868,1,0],[1,4823,4895,1,0],[0,4868,4940,1,0],[1,4895,4967,1,0],[0,4940,5012,1,0],[1,4967,5039,1,0],[0,5012,5084,1,0],[1,5039,5111,1,0],[0,5084,5156,1,0],[1,5111,5183,1,0],[0,5156,5228,1,0],[1,5183,5255,1,0],[0,5228,5300,1,0],[1,5255,5327,1,0],[0,5300,5372,1,0],[1,5327,5399,1,0],[0,5372,5444,1,0],[1,5399,5471,1,0],[0,5444,5516,1,0],[1,5471,5543,1,0],[0,5516,5588,1,0],[1,5543,5615,1,0],[0,5588,5660,1,0],[1,5615,5687,1,0],[0,5660,5732,1,0],[1,5687,5759,1,0],[0,5804,5876,1,0],[1,5815,5887,1,0],[0,5876,5948,1,0],[1,5959,6031,1,0],[0,6022,6094,1,0],[1,6103,6175,1,0],[0,6166,6238,1,0],[0,6310,6382,1,0]],[[0,19,83,1,0],[1,71,143,1,0],[0,101,173,1,0],[1,150,222,1,0],[0,173,245,1,0],[1,229,301,1,0],[0,261,333,1,0],[1,302,374,1,0],[0,333,405,1,0],[1,374,446,1,0],[0,405,469,1,0],[1,446,518,1,0],[0,469,541,1,0],[1,518,590,1,0],[0,541,613,1,0],[1,590,662,1,0],[0,613,685,1,0],[1,662,734,1,0],[0,685,757,1,0],[1,734,806,1,0],[0,757,829,1,0],[1,806,878,1,0],[0,837,909,1,0],[1,878,950,1,0],[0,909,981,1,0],[1,950,1022,1,0],[0,982,1054,1,0],[1,1022,1094,1,0],[1,1094,1166,1,0],[0,1097,1161,1,0],[0,1161,1233,1,0],[1,1166,1238,1,0],[0,1233,1305,1,0],[1,1238,1310,1,0],[0,1305,1377,1,0],[1,1310,1382,1,0],[0,1377,1449,1,0],[1,1382,1454,1,0],[0,1449,1521,1,0],[1,1454,1526,1,0],[1,1526,1598,1,0],[0,1585,1657,1,0],[1,1598,1670,1,0],[0,1657,1729,1,0],[1,1670,1742,1,0],[0,1739,1811,1,0],[1,1742,1814,1,0],[1,1814,1886,1,0],[0,1837,1901,1,0],[1,1886,1958,1,0],[0,1901,1973,1,0],[1,1958,2030,1,0],[0,1973,2045,1,0],[1,2030,2102,1,0],[0,2054,2126,1,0],[1,2103,2175,1,0],[0,2162,2234,1,0],[1,2175,2247,1,0],[0,2234,2306,1,0],[1,2247,2319,1,0],[0,2310,2374,1,0],[1,2319,2391,1,0],[0,2378,2450,1,0],[1,2391,2463,1,0],[1,2463,2535,1,0],[0,2486,2550,1,0],[1,2535,2607,1,0],[0,2550,2622,1,0],[1,2607,2679,1,0],[0,2622,2686,1,0],[1,2679,2751,1,0],[0,2694,2766,1,0],[1,2751,2823,1,0],[0,2766,2838,1,0],[1,2825,2897,1,0],[0,2845,2917,1,0],[1,2899,2971,1,0],[0,2917,2989,1,0],[1,2973,3045,1,0],[0,2989,3061,1,0],[1,3045,3117,1,0],[0,3061,3133,1,0],[1,3117,3189,1,0],[0,3133,3205,1,0],[0,3210,3282,1,0],[1,3215,3287,1,0],[0,3282,3354,1,0],[1,3287,3359,1,0],[0,3354,3426,1,0],[1,3359,3431,1,0],[1,3431,3503,1,0],[0,3487,3559,1,0],[1,3545,3617,1,0],[0,3559,3631,1,0],[0,3631,3703,1,0],[1,3635,3707,1,0],[0,3703,3775,1,0],[1,3707,3779,1,0],[0,3775,3847,1,0],[1,3779,3851,1,0],[0,3847,3919,1,0],[1,3851,3923,1,0],[1,3923,3995,1,0],[0,3928,3992,1,0],[0,3992,4064,1,0],[1,3996,4068,1,0],[0,4064,4136,1,0],[1,4068,4140,1,0],[1,4140,4212,1,0],[0,4168,4240,1,0],[1,4235,4307,1,0],[0,4248,4312,1,0],[1,4307,4379,1,0],[0,4312,4384,1,0],[1,4379,4451,1,0],[0,4384,4456,1,0],[1,4451,4523,1,0],[0,4456,4528,1,0],[1,4523,4595,1,0],[0,4528,4600,1,0],[1,4595,4667,1,0],[0,4600,4672,1,0],[1,4667,4739,1,0],[0,4672,4744,1,0],[0,4752,4824,1,0],[1,4801,4873,1,0],[0,4824,4896,1,0],[1,4873,4945,1,0],[0,4896,4968,1,0],[1,4945,5017,1,0],[0,4968,5040,1,0],[1,5017,5089,1,0],[0,5040,5112,1,0],[1,5089,5161,1,0],[0,5112,5184,1,0],[1,5161,5233,1,0],[0,5184,5256,1,0],[1,5233,5305,1,0],[0,5256,5328,1,0],[1,5305,5377,1,0],[0,5328,5400,1,0],[1,5377,5449,1,0],[1,5449,5521,1,0],[0,5465,5537,1,0],[1,5529,5601,1,0],[0,5544,5616,1,0],[1,5659,5731,1,0],[0,5680,5744,1,0],[1,5731,5803,1,0],[0,5760,5832,1,0],[1,5803,5875,1,0],[0,5872,5936,1,0],[1,5875,5947,1,0],[0,5936,6000,1,0],[1,5947,6019,1,0],[1,6019,6091,1,0],[0,6064,6128,1,0],[0,6256,6320,1,0],[0,6448,6512,1,0],[0,6704,6768,1,0]],[[0,44,116,1,0],[1,71,143,1,0],[0,116,188,1,0],[1,143,215,1,0],[0,188,260,1,0],[1,239,311,1,0],[0,307,355,1,0],[1,311,383,1,0],[0,355,427,1,0],[1,383,455,1,0],[0,427,499,1,0],[1,493,565,1,0],[0,499,571,1,0],[1,606,678,1,0],[0,628,700,1,0],[1,678,750,1,0],[0,716,788,1,0],[1,750,822,1,0],[0,788,860,1,0],[1,822,894,1,0],[1,894,966,1,0],[0,930,938,1,0],[0,938,1010,1,0],[1,982,1054,1,0],[0,1010,1082,1,0],[1,1063,1135,1,0],[0,1096,1168,1,0],[1,1143,1215,1,0],[0,1168,1240,1,0],[1,1215,1287,1,0],[0,1244,1316,1,0],[1,1319,1391,1,0],[0,1322,1394,1,0],[1,1391,1463,1,0],[0,1415,1487,1,0],[1,1471,1543,1,0],[0,1487,1559,1,0],[1,1581,1653,1,0],[0,1621,1693,1,0],[1,1679,1751,1,0],[0,1703,1775,1,0],[1,1751,1823,1,0],[0,1779,1851,1,0],[1,1823,1895,1,0],[0,1853,1925,1,0],[1,1895,1967,1,0],[0,1940,1948,1,0],[0,1948,1956,1,0],[0,1956,1964,1,0],[0,1964,1972,1,0],[0,1972,1980,1,0],[0,1980,1988,1,0],[1,1983,2055,1,0],[0,1988,1996,1,0],[0,1996,2004,1,0],[0,2005,2077,1,0],[1,2056,2128,1,0],[0,2077,2149,1,0],[1,2128,2200,1,0],[0,2157,2229,1,0],[1,2200,2272,1,0],[0,2229,2301,1,0],[1,2272,2344,1,0],[0,2304,2312,1,0],[0,2348,2420,1,0],[1,2350,2422,1,0],[1,2426,2498,1,0],[0,2444,2516,1,0],[1,2502,2574,1,0],[0,2517,2589,1,0],[1,2574,2646,1,0],[0,2589,2661,1,0],[1,2646,2718,1,0],[0,2661,2669,1,0],[0,2669,2677,1,0],[0,2677,2685,1,0],[0,2685,2757,1,0],[1,2718,2790,1,0],[0,2757,2765,1,0],[0,2765,2773,1,0],[0,2784,2856,1,0],[1,2790,2862,1,0],[1,2862,2934,1,0],[0,2876,2948,1,0],[1,2934,3006,1,0],[0,2950,3022,1,0],[1,3006,3078,1,0],[0,3037,3045,1,0],[0,3045,3117,1,0],[1,3078,3150,1,0],[0,3117,3189,1,0],[1,3150,3222,1,0],[0,3218,3290,1,0],[1,3222,3294,1,0],[0,3290,3362,1,0],[1,3294,3366,1,0],[0,3380,3452,1,0],[1,3383,3455,1,0],[0,3452,3524,1,0],[1,3455,3527,1,0],[1,3527,3599,1,0],[0,3573,3645,1,0],[1,3623,3695,1,0],[0,3645,3717,1,0],[1,3695,3767,1,0],[0,3717,3789,1,0],[1,3767,3839,1,0],[0,3789,3861,1,0],[1,3839,3911,1,0],[0,3861,3933,1,0],[1,3911,3983,1,0],[0,3961,4009,1,0],[1,4009,4081,1,0],[0,4031,4103,1,0],[1,4085,4157,1,0],[0,4103,4175,1,0],[0,4175,4223,1,0],[1,4177,4249,1,0],[0,4223,4271,1,0],[1,4249,4321,1,0],[0,4271,4319,1,0],[0,4319,4367,1,0],[1,4321,4393,1,0],[0,4367,4415,1,0],[1,4393,4465,1,0],[0,4415,4463,1,0],[0,4463,4535,1,0],[1,4465,4537,1,0],[1,4537,4609,1,0],[0,4541,4613,1,0],[0,4613,4661,1,0],[1,4638,4710,1,0],[0,4685,4757,1,0],[1,4729,4801,1,0],[0,4757,4805,1,0],[0,4805,4853,1,0],[1,4829,4901,1,0],[0,4855,4927,1,0],[1,4905,4977,1,0],[0,4968,5016,1,0],[0,5016,5088,1,0],[1,5022,5094,1,0],[0,5088,5160,1,0],[1,5119,5191,1,0],[0,5160,5232,1,0],[1,5215,5287,1,0],[0,5263,5335,1,0],[1,5311,5383,1,0],[0,5335,5407,1,0],[0,5429,5477,1,0],[1,5431,5503,1,0],[0,5477,5525,1,0],[1,5503,5575,1,0],[0,5525,5573,1,0],[0,5573,5645,1,0],[1,5575,5647,1,0],[0,5645,5717,1,0],[1,5647,5719,1,0],[0,5717,5789,1,0],[1,5719,5791,1,0],[0,5789,5861,1,0],[1,5791,5863,1,0],[0,5861,5933,1,0],[1,5863,5935,1,0],[0,5933,6005,1,0],[1,5935,6007,1,0],[0,6005,6077,1,0],[1,6007,6079,1,0],[0,6077,6149,1,0],[1,6079,6151,1,0],[0,6149,6221,1,0],[1,6151,6223,1,0],[1,6223,6295,1,0],[1,6295,6367,1,0],[1,6367,6439,1,0],[0,6797,6845,1,0]],[[0,46,118,1,0],[1,71,143,1,0],[0,118,190,1,0],[1,144,216,1,0],[0,222,270,1,0],[1,225,297,1,0],[0,270,342,1,0],[1,297,369,1,0],[0,342,414,1,0],[1,383,455,1,0],[0,414,486,1,0],[1,455,527,1,0],[1,527,599,1,0],[0,559,631,1,0],[1,599,671,1,0],[0,631,703,1,0],[1,681,753,1,0],[0,726,798,1,0],[1,753,825,1,0],[0,798,870,1,0],[1,825,897,1,0],[0,870,942,1,0],[1,905,977,1,0],[0,942,1014,1,0],[1,977,1049,1,0],[1,1057,1129,1,0],[0,1086,1158,1,0],[1,1129,1201,1,0],[0,1161,1233,1,0],[1,1201,1273,1,0],[0,1239,1311,1,0],[1,1289,1361,1,0],[0,1319,1327,1,0],[0,1327,1399,1,0],[1,1361,1433,1,0],[0,1407,1415,1,0],[0,1415,1487,1,0],[1,1433,1505,1,0],[0,1487,1495,1,0],[1,1505,1577,1,0],[0,1535,1607,1,0],[1,1585,1657,1,0],[0,1613,1685,1,0],[1,1657,1729,1,0],[0,1711,1759,1,0],[1,1729,1801,1,0],[0,1759,1767,1,0],[0,1767,1839,1,0],[1,1817,1889,1,0],[0,1847,1919,1,0],[1,1889,1961,1,0],[0,1927,1999,1,0],[1,1969,2041,1,0],[0,2017,2025,1,0],[0,2027,2099,1,0],[1,2041,2113,1,0],[0,2105,2113,1,0],[1,2113,2185,1,0],[0,2116,2124,1,0],[0,2124,2132,1,0],[0,2143,2215,1,0],[1,2185,2257,1,0],[0,2215,2287,1,0],[1,2260,2332,1,0],[0,2290,2298,1,0],[0,2329,2401,1,0],[1,2332,2404,1,0],[0,2410,2418,1,0],[1,2412,2484,1,0],[0,2418,2426,1,0],[0,2426,2434,1,0],[0,2436,2444,1,0],[0,2444,2516,1,0],[1,2484,2556,1,0],[0,2516,2588,1,0],[1,2556,2628,1,0],[0,2588,2660,1,0],[1,2628,2700,1,0],[0,2660,2732,1,0],[1,2700,2772,1,0],[0,2732,2740,1,0],[0,2740,2812,1,0],[1,2772,2844,1,0],[0,2833,2905,1,0],[1,2844,2916,1,0],[0,2905,2913,1,0],[1,2916,2988,1,0],[0,2938,3010,1,0],[1,2988,3060,1,0],[0,3026,3034,1,0],[0,3034,3106,1,0],[1,3060,3132,1,0],[0,3121,3193,1,0],[1,3132,3204,1,0],[0,3193,3265,1,0],[1,3204,3276,1,0],[0,3265,3337,1,0],[1,3276,3348,1,0],[0,3337,3409,1,0],[1,3348,3420,1,0],[1,3420,3492,1,0],[0,3452,3524,1,0],[1,3496,3568,1,0],[0,3553,3625,1,0],[1,3568,3640,1,0],[0,3625,3697,1,0],[1,3640,3712,1,0],[0,3697,3769,1,0],[1,3713,3785,1,0],[0,3770,3842,1,0],[1,3788,3860,1,0],[0,3842,3914,1,0],[1,3860,3932,1,0],[0,3914,3986,1,0],[1,3978,4050,1,0],[0,4034,4082,1,0],[1,4074,4146,1,0],[0,4082,4154,1,0],[1,4146,4218,1,0],[0,4154,4226,1,0],[0,4226,4274,1,0],[1,4242,4314,1,0],[0,4274,4346,1,0],[1,4314,4386,1,0],[0,4346,4418,1,0],[1,4386,4458,1,0],[0,4442,4514,1,0],[1,4460,4532,1,0],[0,4515,4563,1,0],[1,4532,4604,1,0],[0,4563,4635,1,0],[1,4604,4676,1,0],[0,4635,4707,1,0],[1,4700,4772,1,0],[0,4712,4760,1,0],[0,4760,4808,1,0],[1,4772,4844,1,0],[0,4808,4880,1,0],[1,4844,4916,1,0],[0,4880,4952,1,0],[1,4916,4988,1,0],[0,4952,5000,1,0],[1,4988,5060,1,0],[0,5000,5048,1,0],[0,5048,5120,1,0],[1,5060,5132,1,0],[0,5120,5192,1,0],[1,5132,5204,1,0],[0,5192,5264,1,0],[1,5204,5276,1,0],[0,5264,5336,1,0],[1,5276,5348,1,0],[1,5348,5420,1,0],[0,5376,5448,1,0],[1,5420,5492,1,0],[0,5448,5496,1,0],[1,5492,5564,1,0],[0,5496,5544,1,0],[0,5544,5592,1,0],[1,5564,5636,1,0],[0,5592,5640,1,0],[1,5636,5708,1,0],[0,5640,5712,1,0],[0,5712,5784,1,0],[1,5728,5800,1,0],[0,5784,5856,1,0],[1,5826,5898,1,0],[0,5856,5928,1,0],[1,5898,5970,1,0],[0,5928,6000,1,0],[1,5970,6042,1,0],[0,6000,6072,1,0],[1,6098,6170,1,0],[0,6408,6456,1,0],[0,6648,6696,1,0],[0,6888,6936,1,0]],[[0,47,119,1,0],[1,71,143,1,0],[0,119,191,1,0],[1,145,217,1,0],[0,191,263,1,0],[1,217,289,1,0],[0,263,335,1,0],[1,302,374,1,0],[1,376,448,1,0],[0,408,480,1,0],[1,448,520,1,0],[0,480,552,1,0],[1,534,606,1,0],[0,560,632,1,0],[1,625,697,1,0],[0,632,704,1,0],[1,697,769,1,0],[0,776,848,1,0],[1,795,867,1,0],[0,848,920,1,0],[1,904,976,1,0],[0,927,999,1,0],[1,976,1048,1,0],[0,1007,1079,1,0],[1,1048,1120,1,0],[0,1079,1151,1,0],[1,1136,1208,1,0],[0,1158,1230,1,0],[1,1208,1280,1,0],[0,1239,1311,1,0],[1,1280,1352,1,0],[0,1311,1383,1,0],[1,1352,1424,1,0],[1,1424,1496,1,0],[0,1455,1527,1,0],[1,1513,1585,1,0],[0,1538,1610,1,0],[1,1587,1659,1,0],[0,1624,1696,1,0],[1,1659,1731,1,0],[0,1704,1712,1,0],[0,1712,1720,1,0],[0,1720,1792,1,0],[1,1731,1803,1,0],[0,1802,1810,1,0],[1,1817,1889,1,0],[0,1840,1912,1,0],[1,1889,1961,1,0],[0,1912,1984,1,0],[1,1961,2033,1,0],[0,1984,2056,1,0],[1,2033,2105,1,0],[0,2064,2072,1,0],[0,2074,2146,1,0],[1,2105,2177,1,0],[0,2152,2160,1,0],[0,2162,2234,1,0],[1,2177,2249,1,0],[1,2249,2321,1,0],[0,2288,2360,1,0],[1,2321,2393,1,0],[0,2360,2432,1,0],[1,2393,2465,1,0],[0,2432,2504,1,0],[1,2465,2537,1,0],[0,2520,2528,1,0],[0,2528,2600,1,0],[1,2537,2609,1,0],[0,2600,2608,1,0],[1,2609,2681,1,0],[0,2612,2684,1,0],[1,2681,2753,1,0],[0,2688,2696,1,0],[0,2696,2704,1,0],[0,2704,2712,1,0],[0,2712,2720,1,0],[0,2720,2728,1,0],[0,2728,2736,1,0],[0,2736,2744,1,0],[0,2744,2752,1,0],[1,2753,2825,1,0],[0,2756,2764,1,0],[0,2764,2836,1,0],[1,2825,2897,1,0],[0,2856,2904,1,0],[1,2897,2969,1,0],[0,2904,2976,1,0],[1,2969,3041,1,0],[0,2976,3024,1,0],[0,3024,3096,1,0],[1,3041,3113,1,0],[0,3096,3168,1,0],[1,3113,3185,1,0],[0,3168,3240,1,0],[1,3185,3257,1,0],[0,3240,3312,1,0],[1,3257,3329,1,0],[0,3322,3394,1,0],[1,3329,3401,1,0],[0,3394,3466,1,0],[1,3401,3473,1,0],[1,3483,3555,1,0],[0,3506,3578,1,0],[1,3555,3627,1,0],[0,3600,3672,1,0],[1,3627,3699,1,0],[0,3672,3720,1,0],[1,3699,3771,1,0],[0,3720,3792,1,0],[1,3771,3843,1,0],[0,3794,3866,1,0],[1,3867,3939,1,0],[0,3913,3985,1,0],[1,3939,4011,1,0],[0,3985,4033,1,0],[1,4011,4083,1,0],[0,4036,4108,1,0],[1,4083,4155,1,0],[0,4108,4180,1,0],[1,4155,4227,1,0],[0,4202,4274,1,0],[1,4227,4299,1,0],[0,4274,4346,1,0],[1,4299,4371,1,0],[0,4346,4418,1,0],[1,4396,4468,1,0],[0,4427,4499,1,0],[1,4468,4540,1,0],[0,4499,4571,1,0],[1,4564,4636,1,0],[0,4613,4685,1,0],[1,4660,4732,1,0],[0,4685,4757,1,0],[1,4732,4804,1,0],[0,4757,4829,1,0],[1,4804,4876,1,0],[0,4829,4901,1,0],[1,4876,4948,1,0],[0,4901,4973,1,0],[0,4973,5045,1,0],[1,4988,5060,1,0],[0,5045,5117,1,0],[1,5060,5132,1,0],[1,5132,5204,1,0],[0,5137,5185,1,0],[1,5204,5276,1,0],[0,5211,5283,1,0],[1,5276,5348,1,0],[0,5285,5357,1,0],[1,5348,5420,1,0],[0,5357,5429,1,0],[1,5420,5492,1,0],[0,5429,5501,1,0],[0,5501,5573,1,0],[1,5524,5596,1,0],[0,5573,5645,1,0],[1,5596,5668,1,0],[1,5668,5740,1,0],[0,5713,5761,1,0],[1,5740,5812,1,0],[0,5761,5833,1,0],[1,5812,5884,1,0],[0,5857,5905,1,0],[1,5884,5956,1,0],[0,5905,5953,1,0],[0,6001,6049,1,0],[1,6028,6100,1,0],[0,6049,6097,1,0],[1,6100,6172,1,0],[0,6145,6193,1,0],[1,6172,6244,1,0],[0,6241,6289,1,0],[0,6337,6385,1,0],[0,6481,6529,1,0],[0,6721,6769,1,0],[0,6961,7009,1,0]],[[0,45,117,1,0],[1,71,143,1,0],[0,118,190,1,0],[1,144,216,1,0],[1,216,288,1,0],[0,221,269,1,0],[0,269,341,1,0],[1,288,360,1,0],[0,341,413,1,0],[1,368,440,1,0],[0,413,485,1,0],[1,440,512,1,0],[0,485,557,1,0],[1,520,592,1,0],[0,557,629,1,0],[1,592,664,1,0],[0,629,701,1,0],[1,674,746,1,0],[0,701,773,1,0],[1,746,818,1,0],[1,818,890,1,0],[0,845,917,1,0],[1,890,962,1,0],[0,927,999,1,0],[1,978,1050,1,0],[1,1050,1122,1,0],[0,1071,1143,1,0],[1,1134,1206,1,0],[0,1151,1223,1,0],[1,1206,1278,1,0],[0,1231,1303,1,0],[1,1286,1358,1,0],[0,1303,1375,1,0],[1,1358,1430,1,0],[0,1391,1399,1,0],[0,1399,1407,1,0],[0,1413,1485,1,0],[1,1430,1502,1,0],[0,1493,1565,1,0],[1,1502,1574,1,0],[1,1594,1666,1,0],[0,1631,1639,1,0],[0,1640,1712,1,0],[1,1666,1738,1,0],[0,1712,1784,1,0],[1,1738,1810,1,0],[0,1784,1792,1,0],[0,1792,1864,1,0],[1,1810,1882,1,0],[0,1871,1879,1,0],[1,1891,1963,1,0],[0,1911,1983,1,0],[1,1971,2043,1,0],[0,1983,1991,1,0],[0,2001,2073,1,0],[1,2046,2118,1,0],[0,2088,2160,1,0],[1,2118,2190,1,0],[0,2160,2168,1,0],[0,2168,2176,1,0],[0,2176,2184,1,0],[0,2184,2256,1,0],[1,2190,2262,1,0],[0,2256,2328,1,0],[1,2262,2334,1,0],[1,2342,2414,1,0],[0,2371,2443,1,0],[1,2414,2486,1,0],[0,2443,2451,1,0],[0,2451,2523,1,0],[1,2486,2558,1,0],[0,2523,2531,1,0],[0,2531,2603,1,0],[1,2558,2630,1,0],[0,2612,2660,1,0],[1,2630,2702,1,0],[0,2660,2668,1,0],[0,2668,2676,1,0],[0,2681,2753,1,0],[1,2702,2774,1,0],[0,2753,2825,1,0],[1,2774,2846,1,0],[1,2846,2918,1,0],[0,2852,2900,1,0],[0,2900,2908,1,0],[0,2908,2980,1,0],[1,2918,2990,1,0],[0,3020,3068,1,0],[1,3035,3107,1,0],[0,3068,3140,1,0],[1,3107,3179,1,0],[0,3140,3212,1,0],[1,3179,3251,1,0],[0,3212,3284,1,0],[1,3251,3323,1,0],[0,3284,3356,1,0],[1,3323,3395,1,0],[0,3356,3364,1,0],[0,3364,3436,1,0],[1,3395,3467,1,0],[0,3436,3508,1,0],[1,3469,3541,1,0],[0,3508,3516,1,0],[1,3541,3613,1,0],[0,3564,3636,1,0],[1,3613,3685,1,0],[0,3636,3708,1,0],[1,3687,3759,1,0],[0,3718,3766,1,0],[1,3759,3831,1,0],[0,3766,3814,1,0],[0,3814,3886,1,0],[1,3831,3903,1,0],[0,3886,3958,1,0],[1,3903,3975,1,0],[1,3975,4047,1,0],[0,3996,4068,1,0],[1,4049,4121,1,0],[0,4078,4150,1,0],[1,4121,4193,1,0],[0,4150,4222,1,0],[1,4213,4285,1,0],[0,4222,4294,1,0],[1,4285,4357,1,0],[0,4294,4366,1,0],[1,4357,4429,1,0],[0,4366,4414,1,0],[1,4429,4501,1,0],[0,4438,4486,1,0],[0,4486,4534,1,0],[1,4501,4573,1,0],[0,4534,4582,1,0],[1,4573,4645,1,0],[0,4582,4630,1,0],[0,4630,4678,1,0],[1,4647,4719,1,0],[0,4678,4750,1,0],[1,4719,4791,1,0],[0,4750,4822,1,0],[1,4791,4863,1,0],[0,4822,4894,1,0],[1,4867,4939,1,0],[0,4894,4966,1,0],[1,4959,5031,1,0],[0,5016,5064,1,0],[1,5059,5131,1,0],[0,5064,5136,1,0],[1,5131,5203,1,0],[0,5136,5208,1,0],[0,5208,5280,1,0],[1,5248,5320,1,0],[0,5280,5352,1,0],[1,5320,5392,1,0],[0,5352,5424,1,0],[1,5394,5466,1,0],[0,5424,5496,1,0],[1,5466,5538,1,0],[0,5520,5592,1,0],[1,5586,5658,1,0],[0,5641,5713,1,0],[1,5683,5755,1,0],[0,5713,5785,1,0],[1,5755,5827,1,0],[0,5785,5857,1,0],[1,5827,5899,1,0],[0,5857,5929,1,0],[1,5902,5974,1,0],[0,5929,6001,1,0],[1,5997,6069,1,0],[0,6001,6073,1,0],[1,6069,6141,1,0],[0,6073,6145,1,0],[1,6189,6261,1,0],[0,6586,6634,1,0],[0,6778,6826,1,0],[0,6970,7018,1,0]],[[0,11,19,1,0],[0,19,91,1,0],[1,71,95,1,0],[0,91,139,1,0],[1,120,144,1,0],[0,139,211,1,0],[1,144,192,1,0],[0,211,283,1,0],[1,239,287,1,0],[0,283,291,1,0],[0,291,363,1,0],[1,294,318,1,0],[1,356,404,1,0],[0,363,435,1,0],[0,435,483,1,0],[1,438,486,1,0],[0,483,491,1,0],[0,491,563,1,0],[1,526,550,1,0],[1,560,608,1,0],[0,563,635,1,0],[0,635,707,1,0],[1,654,678,1,0],[1,682,730,1,0],[0,707,779,1,0],[1,750,774,1,0],[0,779,851,1,0],[1,828,852,1,0],[0,851,923,1,0],[1,883,931,1,0],[0,923,995,1,0],[1,960,1008,1,0],[0,995,1067,1,0],[1,1008,1056,1,0],[0,1067,1139,1,0],[1,1100,1124,1,0],[1,1130,1154,1,0],[0,1139,1211,1,0],[1,1190,1214,1,0],[0,1211,1283,1,0],[1,1268,1292,1,0],[0,1283,1355,1,0],[1,1298,1322,1,0],[1,1355,1379,1,0],[0,1356,1428,1,0],[1,1394,1418,1,0],[1,1418,1466,1,0],[0,1428,1500,1,0],[1,1466,1514,1,0],[0,1500,1572,1,0],[1,1514,1562,1,0],[1,1562,1610,1,0],[0,1572,1644,1,0],[1,1610,1658,1,0],[0,1644,1716,1,0],[1,1658,1706,1,0],[1,1706,1730,1,0],[0,1716,1788,1,0],[1,1730,1754,1,0],[0,1788,1860,1,0],[1,1796,1820,1,0],[1,1832,1880,1,0],[0,1860,1932,1,0],[1,1880,1928,1,0],[0,1932,1940,1,0],[0,1940,2012,1,0],[1,1964,1988,1,0],[1,1988,2036,1,0],[0,2012,2084,1,0],[1,2036,2084,1,0],[0,2084,2092,1,0],[0,2092,2164,1,0],[1,2132,2156,1,0],[1,2156,2180,1,0],[0,2164,2236,1,0],[1,2228,2252,1,0],[0,2236,2308,1,0],[1,2252,2276,1,0],[1,2276,2324,1,0],[0,2308,2316,1,0],[0,2316,2388,1,0],[1,2348,2372,1,0],[1,2372,2396,1,0],[0,2388,2460,1,0],[1,2396,2420,1,0],[1,2420,2468,1,0],[0,2460,2468,1,0],[0,2468,2540,1,0],[1,2492,2516,1,0],[1,2516,2540,1,0],[1,2540,2564,1,0],[0,2541,2613,1,0],[1,2565,2613,1,0],[1,2613,2661,1,0],[0,2614,2686,1,0],[1,2662,2686,1,0],[1,2686,2710,1,0],[0,2687,2759,1,0],[1,2756,2780,1,0],[0,2759,2831,1,0],[1,2780,2828,1,0],[0,2831,2839,1,0],[0,2839,2911,1,0],[1,2842,2866,1,0],[0,2911,2919,1,0],[0,2919,2991,1,0],[1,2924,2948,1,0],[1,2948,2996,1,0],[0,2991,2999,1,0],[1,2996,3020,1,0],[0,2999,3071,1,0],[1,3020,3068,1,0],[0,3071,3079,1,0],[0,3079,3151,1,0],[1,3092,3116,1,0],[1,3116,3140,1,0],[0,3153,3225,1,0],[1,3188,3212,1,0],[1,3212,3236,1,0],[0,3225,3297,1,0],[1,3236,3260,1,0],[1,3260,3284,1,0],[1,3284,3308,1,0],[0,3297,3369,1,0],[1,3308,3332,1,0],[1,3332,3356,1,0],[1,3356,3380,1,0],[0,3369,3441,1,0],[1,3380,3404,1,0],[1,3404,3428,1,0],[1,3428,3452,1,0],[0,3455,3527,1,0],[1,3500,3524,1,0],[1,3524,3548,1,0],[0,3567,3639,1,0],[1,3596,3620,1,0],[1,3620,3644,1,0],[0,3639,3647,1,0],[1,3644,3668,1,0],[0,3663,3735,1,0],[1,3668,3692,1,0],[1,3692,3716,1,0],[1,3716,3740,1,0],[0,3735,3807,1,0],[1,3748,3772,1,0],[1,3772,3796,1,0],[1,3796,3820,1,0],[0,3807,3879,1,0],[1,3820,3844,1,0],[1,3844,3868,1,0],[1,3868,3892,1,0],[0,3879,3951,1,0],[1,3892,3916,1,0],[1,3918,3942,1,0],[1,3942,3966,1,0],[0,3951,4023,1,0],[1,3966,3990,1,0],[1,3990,4014,1,0],[1,4014,4038,1,0],[0,4031,4103,1,0],[1,4038,4062,1,0],[1,4062,4086,1,0],[1,4086,4110,1,0],[1,4110,4134,1,0],[0,4119,4191,1,0],[1,4134,4182,1,0],[1,4206,4230,1,0],[0,4212,4284,1,0],[1,4230,4254,1,0],[1,4254,4302,1,0],[0,4284,4356,1,0],[1,4302,4326,1,0],[1,4326,4350,1,0],[1,4350,4374,1,0],[0,4356,4428,1,0],[1,4374,4398,1,0],[1,4398,4422,1,0],[1,4422,4470,1,0],[0,4428,4500,1,0],[1,4470,4518,1,0],[1,4518,4542,1,0],[0,4528,4536,1,0],[0,4536,4544,1,0],[1,4542,4566,1,0],[0,4545,4553,1,0],[0,4553,4561,1,0],[1,4566,4590,1,0],[0,4572,4644,1,0],[1,4590,4614,1,0],[1,4614,4638,1,0],[1,4638,4662,1,0],[1,4662,4686,1,0],[0,4690,4762,1,0],[1,4702,4726,1,0],[1,4726,4750,1,0],[1,4750,4774,1,0],[0,4762,4834,1,0],[1,4774,4798,1,0],[1,4798,4846,1,0],[1,4846,4894,1,0],[0,4850,4922,1,0],[1,4902,4950,1,0],[0,4922,4994,1,0],[1,4950,4998,1,0],[1,4998,5022,1,0],[0,5001,5073,1,0],[1,5022,5070,1,0],[1,5070,5118,1,0],[0,5073,5145,1,0],[1,5118,5166,1,0],[0,5145,5217,1,0],[1,5166,5214,1,0],[1,5214,5262,1,0],[0,5217,5289,1,0],[1,5262,5310,1,0],[0,5289,5361,1,0],[1,5310,5358,1,0],[1,5358,5406,1,0],[0,5390,5462,1,0],[1,5418,5466,1,0],[0,5462,5534,1,0],[1,5466,5514,1,0],[1,5514,5562,1,0],[0,5534,5606,1,0],[1,5562,5610,1,0],[0,5606,5678,1,0],[1,5610,5658,1,0],[1,5660,5708,1,0],[0,5678,5750,1,0],[1,5708,5756,1,0],[0,5750,5822,1,0],[1,5756,5804,1,0],[1,5804,5852,1,0],[0,5822,5894,1,0],[1,5852,5900,1,0],[0,5894,5966,1,0],[1,5900,5948,1,0],[1,5948,5996,1,0],[0,5966,6038,1,0],[1,5996,6044,1,0],[0,6038,6110,1,0],[1,6044,6092,1,0],[1,6092,6140,1,0],[0,6110,6182,1,0],[1,6140,6188,1,0],[1,6188,6236,1,0],[0,6192,6264,1,0],[1,6237,6285,1,0],[1,6285,6333,1,0],[1,6333,6381,1,0],[1,6381,6429,1,0],[1,6429,6477,1,0],[1,6477,6525,1,0],[1,6525,6573,1,0],[1,6573,6621,1,0],[1,6621,6669,1,0],[1,6669,6717,1,0],[1,6717,6765,1,0],[1,6765,6813,1,0],[1,6813,6861,1,0],[1,6861,6909,1,0],[1,6909,6957,1,0],[1,6957,7005,1,0],[1,7005,7053,1,0]],[[0,46,118,1,0],[1,71,143,1,0],[1,175,247,1,0],[0,181,205,1,0],[0,205,277,1,0],[1,247,319,1,0],[0,277,349,1,0],[1,319,391,1,0],[0,349,421,1,0],[1,391,463,1,0],[0,445,517,1,0],[1,487,559,1,0],[0,517,589,1,0],[1,567,639,1,0],[0,613,637,1,0],[1,639,711,1,0],[0,667,739,1,0],[1,728,800,1,0],[0,756,828,1,0],[1,811,883,1,0],[0,829,901,1,0],[1,883,955,1,0],[0,905,977,1,0],[1,955,1027,1,0],[0,994,1026,1,0],[1,1027,1099,1,0],[0,1066,1098,1,0],[1,1099,1171,1,0],[0,1102,1174,1,0],[0,1174,1246,1,0],[1,1209,1281,1,0],[0,1246,1318,1,0],[1,1281,1353,1,0],[0,1318,1390,1,0],[1,1377,1449,1,0],[0,1409,1433,1,0],[1,1466,1538,1,0],[0,1469,1501,1,0],[0,1501,1533,1,0],[0,1533,1605,1,0],[1,1541,1613,1,0],[1,1613,1685,1,0],[0,1623,1647,1,0],[0,1647,1719,1,0],[1,1685,1757,1,0],[0,1719,1791,1,0],[1,1757,1829,1,0],[0,1791,1863,1,0],[1,1857,1929,1,0],[0,1887,1911,1,0],[0,1911,1935,1,0],[0,1935,1959,1,0],[1,1937,2009,1,0],[0,1983,2055,1,0],[1,2009,2081,1,0],[0,2055,2079,1,0],[1,2097,2169,1,0],[0,2103,2175,1,0],[1,2169,2241,1,0],[0,2175,2247,1,0],[0,2247,2271,1,0],[1,2249,2321,1,0],[0,2295,2319,1,0],[0,2319,2391,1,0],[1,2345,2417,1,0],[0,2391,2463,1,0],[1,2437,2509,1,0],[0,2465,2489,1,0],[1,2509,2581,1,0],[0,2513,2585,1,0],[1,2581,2653,1,0],[0,2585,2609,1,0],[0,2609,2633,1,0],[0,2633,2657,1,0],[1,2653,2725,1,0],[0,2681,2753,1,0],[1,2725,2797,1,0],[0,2753,2777,1,0],[0,2777,2801,1,0],[1,2797,2869,1,0],[0,2802,2874,1,0],[0,2874,2946,1,0],[1,2891,2963,1,0],[1,2963,3035,1,0],[0,2993,3065,1,0],[1,3059,3131,1,0],[0,3089,3161,1,0],[1,3131,3203,1,0],[0,3161,3233,1,0],[1,3203,3275,1,0],[0,3233,3305,1,0],[1,3299,3371,1,0],[0,3305,3377,1,0],[1,3371,3443,1,0],[0,3377,3449,1,0],[1,3443,3515,1,0],[0,3473,3545,1,0],[1,3515,3587,1,0],[0,3545,3617,1,0],[1,3611,3683,1,0],[0,3641,3713,1,0],[1,3691,3763,1,0],[0,3737,3809,1,0],[1,3779,3851,1,0],[0,3809,3881,1,0],[1,3851,3923,1,0],[0,3881,3953,1,0],[1,3923,3995,1,0],[0,3953,4025,1,0],[1,3995,4067,1,0],[0,4055,4127,1,0],[1,4067,4139,1,0],[1,4139,4211,1,0],[0,4167,4239,1,0],[1,4211,4283,1,0],[0,4241,4313,1,0],[1,4283,4355,1,0],[0,4313,4385,1,0],[1,4355,4427,1,0],[0,4385,4457,1,0],[1,4427,4499,1,0],[0,4457,4529,1,0],[1,4499,4571,1,0],[1,4572,4644,1,0],[0,4599,4671,1,0],[1,4644,4716,1,0],[0,4678,4710,1,0],[0,4710,4782,1,0],[1,4716,4788,1,0],[0,4782,4854,1,0],[1,4824,4896,1,0],[0,4854,4926,1,0],[1,4896,4968,1,0],[0,4926,4998,1,0],[1,4968,5040,1,0],[1,5040,5112,1,0],[0,5060,5132,1,0],[1,5112,5184,1,0],[0,5132,5204,1,0],[1,5184,5256,1,0],[0,5258,5290,1,0],[0,5290,5362,1,0],[1,5296,5368,1,0],[0,5362,5434,1,0],[1,5368,5440,1,0],[0,5434,5506,1,0],[1,5440,5512,1,0],[0,5506,5578,1,0],[1,5512,5584,1,0],[1,5584,5656,1,0],[0,5610,5642,1,0],[0,5642,5674,1,0],[1,5656,5728,1,0],[0,5682,5754,1,0],[1,5728,5800,1,0],[0,5754,5826,1,0],[1,5800,5872,1,0],[0,5828,5900,1,0],[1,5872,5944,1,0],[0,5900,5972,1,0],[1,5944,6016,1,0],[0,5972,6044,1,0],[1,6016,6088,1,0],[0,6074,6106,1,0],[1,6088,6160,1,0],[0,6106,6138,1,0],[0,6142,6214,1,0],[1,6160,6232,1,0],[1,6232,6304,1,0],[0,6274,6306,1,0],[0,6306,6378,1,0],[0,6594,6626,1,0],[0,6754,6786,1,0],[0,6914,6946,1,0],[0,7074,7106,1,0],[0,7234,7266,1,0]],[[0,19,27,1,0],[0,27,35,1,0],[1,71,95,1,0],[1,95,119,1,0],[0,100,172,1,0],[1,134,182,1,0],[1,225,273,1,0],[1,309,333,1,0],[1,362,410,1,0],[0,363,435,1,0],[1,411,435,1,0],[0,436,508,1,0],[1,478,526,1,0],[1,562,610,1,0],[0,589,661,1,0],[1,658,682,1,0],[0,661,733,1,0],[1,697,745,1,0],[1,749,773,1,0],[1,808,832,1,0],[0,851,923,1,0],[1,877,901,1,0],[1,904,928,1,0],[1,953,1001,1,0],[1,1001,1025,1,0],[1,1025,1073,1,0],[0,1062,1134,1,0],[1,1107,1131,1,0],[1,1156,1204,1,0],[1,1204,1228,1,0],[1,1277,1301,1,0],[1,1301,1325,1,0],[1,1345,1393,1,0],[0,1355,1427,1,0],[1,1393,1441,1,0],[1,1445,1469,1,0],[1,1469,1493,1,0],[1,1493,1541,1,0],[0,1499,1571,1,0],[1,1541,1565,1,0],[1,1565,1589,1,0],[0,1585,1657,1,0],[1,1589,1613,1,0],[1,1613,1637,1,0],[1,1637,1661,1,0],[1,1681,1705,1,0],[0,1686,1758,1,0],[1,1705,1729,1,0],[1,1729,1753,1,0],[1,1753,1777,1,0],[1,1777,1801,1,0],[0,1794,1866,1,0],[1,1805,1829,1,0],[1,1829,1877,1,0],[0,1874,1946,1,0],[1,1905,1929,1,0],[1,1929,1953,1,0],[0,1948,2020,1,0],[1,1953,2001,1,0],[1,2001,2025,1,0],[0,2020,2092,1,0],[1,2025,2049,1,0],[1,2049,2097,1,0],[1,2098,2146,1,0],[0,2126,2198,1,0],[1,2146,2170,1,0],[1,2170,2218,1,0],[0,2198,2270,1,0],[1,2218,2242,1,0],[1,2242,2290,1,0],[0,2270,2342,1,0],[1,2290,2314,1,0],[1,2314,2362,1,0],[1,2362,2386,1,0],[0,2370,2442,1,0],[1,2386,2434,1,0],[1,2434,2458,1,0],[0,2442,2514,1,0],[1,2458,2482,1,0],[1,2482,2530,1,0],[0,2524,2596,1,0],[1,2530,2578,1,0],[1,2578,2602,1,0],[1,2602,2626,1,0],[0,2605,2677,1,0],[1,2626,2674,1,0],[0,2677,2749,1,0],[1,2697,2721,1,0],[1,2721,2769,1,0],[1,2769,2793,1,0],[0,2802,2874,1,0],[1,2814,2838,1,0],[1,2838,2886,1,0],[0,2879,2887,1,0],[0,2887,2959,1,0],[1,2890,2914,1,0],[1,2915,2939,1,0],[1,2939,2963,1,0],[0,2959,3031,1,0],[1,2963,2987,1,0],[1,2987,3035,1,0],[0,3031,3039,1,0],[1,3035,3059,1,0],[0,3039,3111,1,0],[1,3059,3107,1,0],[1,3107,3155,1,0],[0,3128,3136,1,0],[0,3136,3208,1,0],[1,3156,3180,1,0],[1,3180,3204,1,0],[1,3204,3252,1,0],[0,3208,3280,1,0],[1,3264,3312,1,0],[0,3280,3352,1,0],[1,3312,3360,1,0],[0,3357,3365,1,0],[1,3361,3385,1,0],[0,3365,3373,1,0],[0,3375,3383,1,0],[1,3385,3409,1,0],[0,3386,3394,1,0],[0,3394,3402,1,0],[0,3402,3410,1,0],[1,3420,3444,1,0],[0,3421,3429,1,0],[0,3429,3437,1,0],[0,3437,3509,1,0],[1,3453,3477,1,0],[1,3477,3525,1,0],[0,3509,3581,1,0],[1,3527,3551,1,0],[1,3551,3599,1,0],[0,3581,3653,1,0],[1,3599,3623,1,0],[1,3623,3671,1,0],[0,3676,3748,1,0],[1,3681,3705,1,0],[1,3705,3729,1,0],[1,3729,3753,1,0],[1,3753,3777,1,0],[0,3772,3844,1,0],[1,3777,3801,1,0],[1,3804,3828,1,0],[1,3828,3852,1,0],[0,3844,3916,1,0],[1,3865,3889,1,0],[1,3889,3937,1,0],[0,3916,3988,1,0],[1,3937,3961,1,0],[1,3961,4009,1,0],[0,3988,4060,1,0],[1,4009,4057,1,0],[1,4057,4105,1,0],[0,4069,4141,1,0],[1,4105,4129,1,0],[1,4141,4165,1,0],[1,4165,4189,1,0],[0,4172,4244,1,0],[1,4221,4245,1,0],[1,4245,4293,1,0],[0,4248,4320,1,0],[1,4293,4317,1,0],[0,4320,4392,1,0],[1,4327,4351,1,0],[1,4351,4399,1,0],[0,4392,4464,1,0],[1,4399,4423,1,0],[1,4423,4471,1,0],[0,4464,4536,1,0],[1,4471,4495,1,0],[1,4495,4543,1,0],[0,4536,4608,1,0],[1,4543,4591,1,0],[1,4591,4639,1,0],[0,4608,4680,1,0],[1,4651,4699,1,0],[0,4680,4752,1,0],[1,4699,4723,1,0],[1,4723,4771,1,0],[0,4752,4824,1,0],[1,4771,4819,1,0],[1,4833,4857,1,0],[1,4857,4905,1,0],[0,4880,4952,1,0],[1,4929,4953,1,0],[1,4953,5001,1,0],[0,4954,5026,1,0],[1,5009,5057,1,0],[0,5054,5126,1,0],[1,5057,5081,1,0],[1,5081,5105,1,0],[1,5105,5129,1,0],[0,5126,5198,1,0],[1,5129,5153,1,0],[1,5153,5177,1,0],[1,5177,5225,1,0],[0,5198,5270,1,0],[1,5225,5273,1,0],[0,5270,5342,1,0],[1,5281,5305,1,0],[1,5305,5353,1,0],[0,5342,5414,1,0],[1,5353,5401,1,0],[1,5401,5449,1,0],[0,5446,5518,1,0],[1,5449,5473,1,0],[1,5505,5529,1,0],[0,5518,5590,1,0],[1,5529,5577,1,0],[1,5585,5609,1,0],[1,5609,5657,1,0],[0,5622,5694,1,0],[1,5657,5705,1,0],[0,5694,5766,1,0],[1,5705,5753,1,0],[1,5753,5801,1,0],[0,5766,5838,1,0],[1,5801,5849,1,0],[0,5838,5910,1,0],[1,5849,5897,1,0],[1,5897,5945,1,0],[0,5910,5982,1,0],[1,5945,5969,1,0],[1,5969,6017,1,0],[0,5982,6054,1,0],[1,6041,6065,1,0],[0,6054,6126,1,0],[1,6065,6113,1,0],[1,6113,6161,1,0],[1,6161,6209,1,0],[0,6182,6254,1,0],[1,6209,6257,1,0],[1,6257,6281,1,0],[1,6281,6329,1,0],[1,6329,6377,1,0],[1,6377,6425,1,0],[1,6425,6473,1,0],[1,6473,6521,1,0],[1,6521,6569,1,0],[1,6569,6593,1,0],[1,6593,6641,1,0],[1,6641,6689,1,0],[1,6689,6737,1,0],[1,6737,6761,1,0],[1,6761,6785,1,0]],[[0,45,117,1,0],[1,71,143,1,0],[1,176,248,1,0],[0,181,205,1,0],[0,205,277,1,0],[1,256,328,1,0],[0,277,349,1,0],[1,328,400,1,0],[0,373,405,1,0],[1,400,472,1,0],[0,405,477,1,0],[0,493,565,1,0],[1,512,584,1,0],[0,565,637,1,0],[1,589,661,1,0],[0,645,717,1,0],[1,704,776,1,0],[1,776,848,1,0],[0,805,877,1,0],[1,852,924,1,0],[0,877,909,1,0],[0,909,981,1,0],[1,924,996,1,0],[0,981,1053,1,0],[1,1016,1088,1,0],[0,1053,1125,1,0],[1,1088,1160,1,0],[0,1125,1197,1,0],[1,1160,1232,1,0],[1,1232,1304,1,0],[0,1237,1309,1,0],[1,1304,1376,1,0],[0,1333,1357,1,0],[1,1376,1448,1,0],[0,1389,1421,1,0],[0,1421,1493,1,0],[1,1448,1520,1,0],[0,1493,1565,1,0],[1,1520,1592,1,0],[0,1565,1637,1,0],[1,1605,1677,1,0],[0,1669,1741,1,0],[1,1713,1785,1,0],[0,1741,1813,1,0],[1,1785,1857,1,0],[0,1813,1885,1,0],[1,1857,1929,1,0],[0,1910,1982,1,0],[1,1953,2025,1,0],[0,2007,2079,1,0],[1,2025,2097,1,0],[0,2079,2151,1,0],[1,2097,2169,1,0],[0,2151,2175,1,0],[1,2169,2241,1,0],[0,2175,2199,1,0],[0,2199,2271,1,0],[1,2265,2337,1,0],[0,2295,2367,1,0],[1,2337,2409,1,0],[0,2367,2391,1,0],[0,2391,2463,1,0],[1,2410,2482,1,0],[0,2463,2535,1,0],[1,2487,2559,1,0],[0,2558,2582,1,0],[0,2582,2606,1,0],[1,2601,2673,1,0],[0,2606,2630,1,0],[0,2630,2654,1,0],[0,2654,2678,1,0],[1,2673,2745,1,0],[0,2679,2751,1,0],[1,2745,2817,1,0],[0,2774,2846,1,0],[1,2817,2889,1,0],[0,2846,2918,1,0],[1,2889,2961,1,0],[0,2918,2990,1,0],[1,2962,3034,1,0],[0,2990,3062,1,0],[1,3034,3106,1,0],[0,3087,3111,1,0],[1,3106,3178,1,0],[0,3111,3135,1,0],[0,3135,3159,1,0],[0,3159,3183,1,0],[1,3178,3250,1,0],[0,3206,3278,1,0],[1,3250,3322,1,0],[0,3278,3350,1,0],[1,3322,3394,1,0],[0,3351,3423,1,0],[1,3394,3466,1,0],[0,3423,3447,1,0],[0,3447,3519,1,0],[1,3466,3538,1,0],[1,3538,3610,1,0],[0,3567,3591,1,0],[0,3592,3664,1,0],[1,3610,3682,1,0],[0,3664,3736,1,0],[1,3682,3754,1,0],[0,3736,3808,1,0],[1,3754,3826,1,0],[1,3826,3898,1,0],[0,3857,3929,1,0],[1,3898,3970,1,0],[0,3929,4001,1,0],[1,3970,4042,1,0],[0,4001,4073,1,0],[1,4042,4114,1,0],[0,4073,4145,1,0],[1,4114,4186,1,0],[0,4145,4217,1,0],[1,4186,4258,1,0],[0,4217,4289,1,0],[1,4258,4330,1,0],[1,4330,4402,1,0],[0,4361,4433,1,0],[1,4402,4474,1,0],[0,4433,4505,1,0],[1,4474,4546,1,0],[0,4508,4580,1,0],[1,4546,4618,1,0],[1,4618,4690,1,0],[0,4653,4685,1,0],[0,4685,4757,1,0],[1,4690,4762,1,0],[0,4757,4829,1,0],[1,4762,4834,1,0],[0,4829,4901,1,0],[1,4834,4906,1,0],[0,4901,4973,1,0],[1,4906,4978,1,0],[0,4973,5045,1,0],[1,4978,5050,1,0],[0,5045,5117,1,0],[1,5050,5122,1,0],[1,5132,5204,1,0],[0,5176,5248,1,0],[1,5204,5276,1,0],[0,5248,5320,1,0],[1,5277,5349,1,0],[0,5320,5392,1,0],[1,5350,5422,1,0],[0,5405,5477,1,0],[1,5422,5494,1,0],[0,5477,5549,1,0],[1,5498,5570,1,0],[0,5566,5638,1,0],[1,5570,5642,1,0],[1,5642,5714,1,0],[0,5657,5729,1,0],[0,5729,5801,1,0],[1,5732,5804,1,0],[0,5817,5849,1,0],[1,5824,5896,1,0],[0,5865,5937,1,0],[1,5928,6000,1,0],[0,5937,6009,1,0],[1,6000,6072,1,0],[0,6009,6081,1,0],[1,6072,6144,1,0],[0,6113,6145,1,0],[0,6177,6209,1,0],[1,6192,6264,1,0],[0,6241,6273,1,0],[0,6305,6337,1,0],[0,6369,6401,1,0],[0,6529,6561,1,0],[0,6689,6721,1,0],[0,6849,6881,1,0],[0,7009,7041,1,0],[0,7169,7201,1,0],[0,7329,7361,1,0]],[[0,10,34,1,0],[0,34,106,1,0],[1,71,111,1,0],[0,106,130,1,0],[1,111,151,1,0],[0,130,202,1,0],[1,159,199,1,0],[0,202,274,1,0],[1,255,295,1,0],[0,274,298,1,0],[1,295,335,1,0],[0,298,370,1,0],[1,335,375,1,0],[0,370,442,1,0],[1,375,407,1,0],[1,407,439,1,0],[1,439,479,1,0],[0,442,514,1,0],[1,479,511,1,0],[1,511,551,1,0],[0,514,586,1,0],[1,551,583,1,0],[1,583,615,1,0],[0,586,658,1,0],[1,655,695,1,0],[0,658,682,1,0],[0,682,754,1,0],[1,695,735,1,0],[1,735,775,1,0],[0,754,778,1,0],[0,778,850,1,0],[1,782,814,1,0],[1,814,854,1,0],[0,850,874,1,0],[0,874,946,1,0],[1,911,951,1,0],[0,946,970,1,0],[1,951,991,1,0],[0,970,1042,1,0],[1,991,1023,1,0],[1,1023,1063,1,0],[0,1042,1114,1,0],[1,1063,1095,1,0],[1,1095,1127,1,0],[0,1114,1138,1,0],[0,1138,1210,1,0],[1,1167,1207,1,0],[1,1207,1247,1,0],[0,1210,1282,1,0],[1,1247,1279,1,0],[1,1279,1319,1,0],[0,1282,1306,1,0],[0,1306,1378,1,0],[1,1319,1351,1,0],[1,1351,1391,1,0],[0,1378,1402,1,0],[1,1391,1431,1,0],[0,1402,1474,1,0],[1,1432,1464,1,0],[0,1474,1546,1,0],[1,1495,1535,1,0],[1,1535,1575,1,0],[0,1546,1570,1,0],[0,1570,1642,1,0],[1,1575,1615,1,0],[1,1615,1655,1,0],[0,1642,1666,1,0],[1,1655,1695,1,0],[0,1666,1738,1,0],[0,1738,1762,1,0],[1,1751,1791,1,0],[0,1762,1834,1,0],[1,1791,1831,1,0],[1,1831,1871,1,0],[0,1834,1858,1,0],[0,1858,1930,1,0],[1,1871,1903,1,0],[0,1930,1954,1,0],[1,1935,1975,1,0],[0,1954,2026,1,0],[1,1975,2007,1,0],[1,2007,2047,1,0],[0,2026,2050,1,0],[1,2047,2079,1,0],[0,2050,2122,1,0],[1,2119,2159,1,0],[0,2122,2194,1,0],[1,2159,2191,1,0],[1,2191,2231,1,0],[0,2194,2266,1,0],[1,2231,2271,1,0],[0,2266,2338,1,0],[1,2271,2311,1,0],[1,2322,2362,1,0],[0,2338,2410,1,0],[1,2362,2402,1,0],[0,2410,2482,1,0],[1,2449,2489,1,0],[0,2482,2554,1,0],[1,2489,2529,1,0],[1,2532,2572,1,0],[0,2554,2626,1,0],[0,2626,2698,1,0],[1,2633,2673,1,0],[1,2673,2713,1,0],[0,2698,2770,1,0],[1,2713,2753,1,0],[1,2753,2793,1,0],[0,2770,2842,1,0],[1,2793,2833,1,0],[0,2842,2914,1,0],[1,2889,2929,1,0],[0,2914,2986,1,0],[1,2961,3001,1,0],[0,2986,3058,1,0],[1,3001,3041,1,0],[1,3041,3081,1,0],[0,3058,3130,1,0],[1,3081,3121,1,0],[0,3130,3202,1,0],[1,3145,3185,1,0],[1,3185,3225,1,0],[0,3202,3274,1,0],[1,3225,3265,1,0],[1,3265,3305,1,0],[0,3274,3346,1,0],[1,3306,3346,1,0],[0,3346,3418,1,0],[1,3403,3443,1,0],[0,3418,3490,1,0],[1,3443,3483,1,0],[0,3490,3562,1,0],[1,3498,3538,1,0],[1,3538,3578,1,0],[0,3562,3634,1,0],[1,3578,3618,1,0],[1,3618,3658,1,0],[0,3634,3706,1,0],[1,3658,3698,1,0],[0,3706,3778,1,0],[1,3708,3748,1,0],[0,3778,3850,1,0],[1,3803,3843,1,0],[1,3843,3883,1,0],[0,3850,3922,1,0],[1,3883,3923,1,0],[1,3923,3963,1,0],[0,3924,3996,1,0],[1,3963,4003,1,0],[0,3996,4068,1,0],[1,4059,4099,1,0],[0,4070,4142,1,0],[1,4099,4139,1,0],[1,4139,4179,1,0],[0,4142,4214,1,0],[1,4179,4219,1,0],[0,4214,4286,1,0],[1,4219,4259,1,0],[1,4259,4299,1,0],[1,4299,4339,1,0],[0,4303,4375,1,0],[1,4339,4379,1,0],[1,4379,4419,1,0],[0,4381,4453,1,0],[1,4419,4459,1,0],[0,4453,4525,1,0],[1,4459,4499,1,0],[1,4499,4539,1,0],[1,4539,4579,1,0],[0,4574,4646,1,0],[1,4603,4643,1,0],[1,4643,4683,1,0],[0,4646,4718,1,0],[1,4683,4723,1,0],[1,4723,4763,1,0],[0,4735,4807,1,0],[1,4763,4803,1,0],[0,4814,4886,1,0],[1,4827,4867,1,0],[1,4867,4907,1,0],[0,4886,4958,1,0],[1,4907,4939,1,0],[1,4971,5011,1,0],[0,5006,5078,1,0],[1,5011,5051,1,0],[1,5051,5091,1,0],[0,5078,5150,1,0],[1,5091,5131,1,0],[1,5131,5171,1,0],[0,5167,5239,1,0],[1,5171,5211,1,0],[1,5213,5245,1,0],[0,5239,5311,1,0],[1,5251,5291,1,0],[1,5291,5331,1,0],[0,5329,5401,1,0],[1,5331,5363,1,0],[1,5395,5435,1,0],[1,5435,5467,1,0],[0,5438,5510,1,0],[1,5467,5499,1,0],[1,5507,5539,1,0],[0,5510,5582,1,0],[1,5539,5571,1,0],[1,5571,5603,1,0],[0,5582,5654,1,0],[1,5603,5635,1,0],[1,5635,5667,1,0],[0,5654,5726,1,0],[1,5667,5699,1,0],[1,5699,5731,1,0],[0,5726,5798,1,0],[1,5731,5763,1,0],[1,5763,5795,1,0],[1,5803,5835,1,0],[0,5825,5897,1,0],[1,5835,5867,1,0],[1,5879,5911,1,0],[0,5897,5969,1,0],[1,5911,5943,1,0],[1,5943,5975,1,0],[0,5969,6041,1,0],[1,5975,6007,1,0],[1,6009,6041,1,0],[1,6041,6073,1,0],[0,6042,6114,1,0],[1,6073,6105,1,0],[1,6105,6137,1,0],[0,6114,6186,1,0],[1,6137,6169,1,0],[1,6169,6201,1,0],[0,6186,6258,1,0],[1,6201,6233,1,0],[1,6233,6265,1,0],[1,6265,6297,1,0],[0,6266,6338,1,0],[1,6297,6329,1,0],[1,6329,6361,1,0],[0,6338,6410,1,0],[1,6361,6393,1,0],[1,6393,6425,1,0],[1,6425,6457,1,0],[1,6457,6489,1,0],[1,6489,6521,1,0],[1,6521,6553,1,0],[1,6553,6585,1,0],[1,6585,6617,1,0],[1,6617,6649,1,0],[1,6649,6681,1,0],[1,6681,6713,1,0],[1,6713,6745,1,0],[1,6745,6777,1,0],[1,6777,6809,1,0],[1,6809,6841,1,0],[1,6841,6873,1,0],[1,6873,6905,1,0],[1,6905,6937,1,0],[1,6937,6969,1,0],[1,6969,7001,1,0],[1,7001,7033,1,0],[1,7033,7065,1,0],[1,7065,7097,1,0],[1,7097,7129,1,0],[1,7129,7161,1,0],[1,7161,7193,1,0],[1,7193,7225,1,0],[1,7225,7257,1,0],[1,7257,7289,1,0],[1,7289,7321,1,0],[1,7321,7353,1,0],[1,7353,7385,1,0],[1,7385,7417,1,0]],[[0,12,84,1,0],[1,71,143,1,0],[0,140,212,1,0],[1,150,222,1,0],[0,212,252,1,0],[1,254,326,1,0],[0,262,334,1,0],[1,326,398,1,0],[0,334,406,1,0],[1,406,478,1,0],[0,468,540,1,0],[1,478,550,1,0],[1,550,622,1,0],[0,553,625,1,0],[1,622,694,1,0],[0,652,724,1,0],[1,694,766,1,0],[0,724,796,1,0],[1,766,838,1,0],[0,836,908,1,0],[1,878,950,1,0],[0,908,980,1,0],[1,950,1022,1,0],[0,980,1052,1,0],[1,1022,1094,1,0],[1,1094,1166,1,0],[0,1124,1196,1,0],[0,1196,1268,1,0],[1,1206,1278,1,0],[0,1276,1316,1,0],[1,1278,1350,1,0],[0,1316,1388,1,0],[1,1356,1428,1,0],[0,1421,1461,1,0],[1,1428,1500,1,0],[0,1461,1533,1,0],[1,1502,1574,1,0],[0,1565,1637,1,0],[1,1574,1646,1,0],[0,1637,1709,1,0],[1,1653,1725,1,0],[0,1709,1781,1,0],[1,1725,1797,1,0],[1,1797,1869,1,0],[0,1821,1861,1,0],[0,1861,1933,1,0],[1,1869,1941,1,0],[0,1933,1973,1,0],[0,1973,2045,1,0],[1,1975,2047,1,0],[0,2045,2117,1,0],[1,2079,2151,1,0],[0,2181,2221,1,0],[1,2191,2263,1,0],[0,2221,2261,1,0],[1,2263,2335,1,0],[0,2266,2338,1,0],[0,2338,2410,1,0],[1,2375,2447,1,0],[0,2421,2493,1,0],[1,2463,2535,1,0],[0,2493,2565,1,0],[1,2535,2607,1,0],[1,2607,2679,1,0],[0,2629,2669,1,0],[0,2669,2741,1,0],[1,2679,2751,1,0],[0,2741,2781,1,0],[1,2751,2823,1,0],[0,2781,2853,1,0],[1,2823,2895,1,0],[0,2853,2925,1,0],[1,2895,2967,1,0],[0,2957,3029,1,0],[1,2967,3039,1,0],[0,3029,3101,1,0],[1,3071,3143,1,0],[0,3101,3173,1,0],[1,3143,3215,1,0],[0,3213,3285,1,0],[1,3255,3327,1,0],[0,3285,3301,1,0],[0,3301,3373,1,0],[1,3327,3399,1,0],[0,3373,3413,1,0],[1,3439,3511,1,0],[0,3445,3517,1,0],[1,3511,3583,1,0],[0,3517,3589,1,0],[0,3589,3661,1,0],[1,3597,3669,1,0],[0,3677,3749,1,0],[1,3685,3757,1,0],[0,3749,3821,1,0],[1,3807,3879,1,0],[0,3837,3853,1,0],[0,3861,3901,1,0],[0,3901,3941,1,0],[1,3903,3975,1,0],[0,3941,3981,1,0],[0,3981,3997,1,0],[0,3997,4013,1,0],[0,4013,4029,1,0],[1,4023,4095,1,0],[0,4037,4109,1,0],[1,4095,4167,1,0],[0,4109,4125,1,0],[0,4125,4197,1,0],[1,4190,4262,1,0],[0,4197,4269,1,0],[1,4262,4334,1,0],[0,4269,4341,1,0],[1,4344,4416,1,0],[0,4374,4414,1,0],[0,4415,4487,1,0],[1,4457,4529,1,0],[0,4494,4510,1,0],[1,4529,4601,1,0],[0,4549,4589,1,0],[0,4589,4605,1,0],[1,4601,4673,1,0],[0,4605,4621,1,0],[0,4632,4704,1,0],[1,4673,4745,1,0],[0,4704,4720,1,0],[0,4720,4792,1,0],[1,4745,4817,1,0],[0,4797,4837,1,0],[1,4817,4889,1,0],[0,4854,4870,1,0],[0,4870,4942,1,0],[1,4889,4961,1,0],[1,4961,5033,1,0],[0,4982,4998,1,0],[0,4998,5070,1,0],[1,5040,5112,1,0],[0,5070,5142,1,0],[1,5112,5184,1,0],[0,5142,5214,1,0],[1,5184,5256,1,0],[0,5214,5286,1,0],[1,5256,5328,1,0],[0,5286,5358,1,0],[1,5352,5424,1,0],[0,5414,5430,1,0],[1,5424,5496,1,0],[0,5430,5502,1,0],[0,5502,5574,1,0],[1,5538,5610,1,0],[0,5574,5646,1,0],[1,5610,5682,1,0],[0,5662,5734,1,0],[1,5682,5754,1,0],[0,5734,5806,1,0],[1,5754,5826,1,0],[1,5826,5898,1,0],[0,5830,5902,1,0],[1,5898,5970,1,0],[0,5928,6000,1,0],[1,5992,6064,1,0],[0,6000,6072,1,0],[1,6064,6136,1,0],[0,6094,6166,1,0],[1,6136,6208,1,0],[0,6190,6262,1,0],[1,6208,6280,1,0],[0,6262,6334,1,0],[1,6282,6354,1,0],[1,6354,6426,1,0],[0,6360,6432,1,0],[1,6474,6546,1,0],[1,6546,6618,1,0],[0,6622,6694,1,0],[0,7743,7759,1,0],[0,7807,7823,1,0],[0,7887,7903,1,0]],[[0,11,35,1,0],[0,35,107,1,0],[1,71,111,1,0],[0,107,131,1,0],[1,111,151,1,0],[0,131,203,1,0],[1,151,183,1,0],[1,183,223,1,0],[0,203,275,1,0],[1,255,295,1,0],[0,275,299,1,0],[1,295,335,1,0],[0,299,371,1,0],[1,335,375,1,0],[0,371,443,1,0],[1,375,415,1,0],[1,415,447,1,0],[0,443,515,1,0],[1,447,487,1,0],[1,487,519,1,0],[0,515,539,1,0],[1,519,559,1,0],[0,539,611,1,0],[1,559,591,1,0],[1,591,631,1,0],[0,611,635,1,0],[1,631,663,1,0],[0,635,707,1,0],[1,663,695,1,0],[0,707,779,1,0],[1,727,767,1,0],[0,779,803,1,0],[1,793,833,1,0],[0,803,875,1,0],[1,835,875,1,0],[1,875,907,1,0],[0,876,900,1,0],[0,900,972,1,0],[1,908,948,1,0],[1,948,980,1,0],[0,972,1044,1,0],[1,980,1020,1,0],[0,1044,1116,1,0],[1,1055,1095,1,0],[1,1095,1127,1,0],[0,1116,1140,1,0],[1,1127,1159,1,0],[0,1140,1212,1,0],[1,1159,1199,1,0],[0,1212,1236,1,0],[0,1236,1308,1,0],[1,1239,1279,1,0],[1,1279,1319,1,0],[0,1308,1332,1,0],[1,1319,1359,1,0],[0,1332,1404,1,0],[1,1359,1391,1,0],[1,1391,1431,1,0],[0,1404,1476,1,0],[1,1431,1463,1,0],[0,1476,1500,1,0],[1,1495,1535,1,0],[0,1500,1572,1,0],[1,1535,1567,1,0],[1,1567,1607,1,0],[0,1572,1596,1,0],[0,1596,1668,1,0],[1,1607,1639,1,0],[0,1668,1692,1,0],[1,1679,1719,1,0],[0,1692,1764,1,0],[1,1719,1759,1,0],[1,1759,1799,1,0],[0,1764,1788,1,0],[0,1788,1860,1,0],[1,1799,1831,1,0],[1,1831,1871,1,0],[0,1860,1884,1,0],[1,1871,1911,1,0],[0,1884,1956,1,0],[1,1935,1975,1,0],[0,1956,1980,1,0],[1,1975,2015,1,0],[0,1980,2052,1,0],[1,2015,2055,1,0],[0,2052,2124,1,0],[1,2055,2095,1,0],[1,2095,2127,1,0],[0,2124,2196,1,0],[1,2151,2183,1,0],[1,2193,2233,1,0],[0,2196,2268,1,0],[1,2263,2303,1,0],[0,2268,2340,1,0],[1,2303,2343,1,0],[0,2340,2412,1,0],[1,2343,2383,1,0],[1,2383,2423,1,0],[0,2412,2484,1,0],[1,2423,2463,1,0],[0,2484,2556,1,0],[1,2519,2559,1,0],[0,2556,2628,1,0],[1,2559,2599,1,0],[1,2599,2639,1,0],[0,2628,2700,1,0],[1,2639,2679,1,0],[1,2679,2719,1,0],[0,2700,2772,1,0],[0,2772,2844,1,0],[1,2775,2815,1,0],[1,2815,2855,1,0],[0,2844,2916,1,0],[1,2855,2895,1,0],[1,2895,2935,1,0],[0,2916,2988,1,0],[1,2935,2975,1,0],[0,2988,3060,1,0],[1,3031,3071,1,0],[0,3060,3132,1,0],[1,3071,3111,1,0],[1,3111,3151,1,0],[0,3132,3204,1,0],[1,3151,3191,1,0],[1,3191,3231,1,0],[0,3204,3276,1,0],[0,3276,3348,1,0],[1,3287,3327,1,0],[1,3327,3367,1,0],[0,3348,3420,1,0],[1,3367,3407,1,0],[1,3407,3447,1,0],[0,3420,3492,1,0],[1,3449,3489,1,0],[0,3492,3564,1,0],[1,3543,3583,1,0],[0,3564,3636,1,0],[1,3583,3623,1,0],[1,3623,3663,1,0],[0,3636,3708,1,0],[1,3679,3719,1,0],[0,3708,3780,1,0],[1,3719,3759,1,0],[0,3780,3852,1,0],[1,3799,3839,1,0],[1,3839,3879,1,0],[0,3854,3926,1,0],[1,3903,3943,1,0],[0,3926,3998,1,0],[1,3943,3983,1,0],[1,3983,4023,1,0],[0,3998,4070,1,0],[1,4023,4063,1,0],[1,4063,4103,1,0],[0,4094,4166,1,0],[1,4127,4167,1,0],[1,4167,4207,1,0],[0,4168,4240,1,0],[1,4207,4247,1,0],[1,4247,4287,1,0],[0,4284,4356,1,0],[1,4287,4327,1,0],[1,4327,4367,1,0],[0,4358,4430,1,0],[1,4367,4407,1,0],[1,4407,4447,1,0],[0,4438,4510,1,0],[1,4447,4487,1,0],[1,4487,4527,1,0],[0,4510,4582,1,0],[1,4559,4599,1,0],[1,4599,4639,1,0],[0,4602,4674,1,0],[1,4671,4711,1,0],[1,4711,4751,1,0],[0,4716,4788,1,0],[1,4751,4791,1,0],[1,4791,4831,1,0],[0,4798,4870,1,0],[1,4831,4871,1,0],[1,4871,4911,1,0],[0,4872,4944,1,0],[1,4911,4951,1,0],[0,4944,5016,1,0],[1,4951,4991,1,0],[1,4991,5031,1,0],[0,5034,5106,1,0],[1,5063,5103,1,0],[1,5103,5143,1,0],[1,5143,5183,1,0],[0,5148,5220,1,0],[1,5183,5223,1,0],[1,5223,5255,1,0],[0,5230,5302,1,0],[1,5255,5287,1,0],[1,5287,5319,1,0],[0,5302,5374,1,0],[1,5319,5351,1,0],[1,5351,5383,1,0],[0,5374,5446,1,0],[1,5391,5431,1,0],[1,5431,5463,1,0],[0,5446,5518,1,0],[1,5463,5495,1,0],[1,5503,5535,1,0],[0,5518,5590,1,0],[1,5535,5567,1,0],[1,5567,5599,1,0],[0,5590,5662,1,0],[1,5607,5639,1,0],[1,5639,5671,1,0],[0,5662,5734,1,0],[1,5671,5703,1,0],[1,5703,5735,1,0],[0,5734,5806,1,0],[1,5736,5768,1,0],[1,5768,5800,1,0],[1,5800,5832,1,0],[0,5806,5878,1,0],[1,5832,5864,1,0],[1,5864,5896,1,0],[1,5896,5928,1,0],[0,5920,5992,1,0],[1,5928,5960,1,0],[1,5960,5992,1,0],[1,5992,6024,1,0],[0,5993,6065,1,0],[1,6024,6056,1,0],[1,6056,6088,1,0],[0,6065,6137,1,0],[1,6088,6120,1,0],[1,6120,6152,1,0],[0,6137,6209,1,0],[1,6152,6184,1,0],[1,6184,6216,1,0],[0,6211,6283,1,0],[1,6216,6248,1,0],[1,6248,6280,1,0],[1,6280,6312,1,0],[0,6283,6355,1,0],[1,6312,6344,1,0],[1,6344,6376,1,0],[0,6355,6427,1,0],[1,6376,6408,1,0],[1,6408,6440,1,0],[1,6440,6472,1,0],[1,6472,6504,1,0],[1,6504,6536,1,0],[1,6536,6568,1,0],[1,6568,6600,1,0],[1,6600,6632,1,0],[1,6632,6664,1,0],[1,6664,6696,1,0],[1,6696,6728,1,0],[1,6728,6760,1,0],[1,6760,6792,1,0],[1,6792,6824,1,0],[1,6824,6856,1,0],[1,6856,6888,1,0],[1,6888,6920,1,0],[1,6920,6952,1,0],[1,6952,6984,1,0],[1,6984,7016,1,0],[1,7016,7048,1,0],[1,7048,7080,1,0],[1,7080,7112,1,0],[1,7112,7144,1,0],[1,7144,7176,1,0],[1,7176,7208,1,0],[1,7208,7240,1,0],[1,7240,7272,1,0],[1,7272,7304,1,0]],[[0,11,83,1,0],[1,71,143,1,0],[0,117,189,1,0],[1,152,224,1,0],[0,213,285,1,0],[1,224,296,1,0],[1,296,368,1,0],[0,325,397,1,0],[1,368,440,1,0],[0,397,469,1,0],[1,440,512,1,0],[0,469,541,1,0],[1,512,584,1,0],[0,549,621,1,0],[1,584,656,1,0],[0,693,765,1,0],[1,696,768,1,0],[0,765,837,1,0],[1,768,840,1,0],[0,837,909,1,0],[1,840,912,1,0],[1,952,1024,1,0],[0,981,1053,1,0],[1,1024,1096,1,0],[0,1053,1125,1,0],[1,1104,1176,1,0],[0,1125,1197,1,0],[1,1176,1248,1,0],[0,1205,1245,1,0],[1,1248,1320,1,0],[0,1309,1381,1,0],[1,1320,1392,1,0],[0,1381,1421,1,0],[1,1392,1464,1,0],[0,1421,1493,1,0],[1,1464,1536,1,0],[0,1493,1565,1,0],[1,1536,1608,1,0],[0,1565,1637,1,0],[1,1608,1680,1,0],[0,1637,1709,1,0],[1,1688,1760,1,0],[0,1749,1821,1,0],[1,1760,1832,1,0],[1,1832,1904,1,0],[0,1853,1925,1,0],[1,1904,1976,1,0],[0,1933,2005,1,0],[1,1976,2048,1,0],[0,2005,2077,1,0],[1,2062,2134,1,0],[0,2117,2189,1,0],[1,2134,2206,1,0],[0,2197,2237,1,0],[1,2206,2278,1,0],[0,2237,2309,1,0],[1,2278,2350,1,0],[0,2309,2381,1,0],[1,2350,2422,1,0],[0,2413,2485,1,0],[1,2422,2494,1,0],[0,2485,2557,1,0],[1,2494,2566,1,0],[1,2566,2638,1,0],[0,2597,2669,1,0],[1,2638,2710,1,0],[0,2669,2741,1,0],[1,2710,2782,1,0],[0,2749,2789,1,0],[0,2821,2893,1,0],[1,2824,2896,1,0],[0,2893,2933,1,0],[1,2896,2968,1,0],[0,2933,2973,1,0],[1,2968,3040,1,0],[0,2973,3045,1,0],[1,3040,3112,1,0],[0,3077,3117,1,0],[1,3112,3184,1,0],[0,3149,3221,1,0],[1,3184,3256,1,0],[0,3221,3293,1,0],[0,3301,3341,1,0],[1,3304,3376,1,0],[0,3341,3381,1,0],[1,3376,3448,1,0],[0,3397,3469,1,0],[1,3448,3520,1,0],[0,3477,3549,1,0],[1,3520,3592,1,0],[0,3549,3621,1,0],[0,3621,3693,1,0],[1,3624,3696,1,0],[0,3701,3741,1,0],[1,3736,3808,1,0],[0,3741,3781,1,0],[1,3808,3880,1,0],[0,3821,3861,1,0],[0,3861,3933,1,0],[1,3880,3952,1,0],[0,3941,3981,1,0],[1,3953,4025,1,0],[0,3981,4053,1,0],[1,4025,4097,1,0],[0,4053,4125,1,0],[0,4125,4197,1,0],[1,4132,4204,1,0],[0,4205,4245,1,0],[1,4241,4313,1,0],[0,4269,4341,1,0],[1,4320,4392,1,0],[0,4341,4413,1,0],[1,4392,4464,1,0],[0,4413,4485,1,0],[0,4485,4525,1,0],[1,4488,4560,1,0],[0,4559,4631,1,0],[1,4601,4673,1,0],[0,4631,4703,1,0],[1,4680,4752,1,0],[0,4703,4775,1,0],[1,4752,4824,1,0],[0,4775,4847,1,0],[0,4847,4887,1,0],[1,4889,4961,1,0],[0,4919,4991,1,0],[1,4962,5034,1,0],[0,4997,5069,1,0],[0,5071,5143,1,0],[1,5105,5177,1,0],[0,5143,5215,1,0],[1,5177,5249,1,0],[1,5256,5328,1,0],[0,5287,5359,1,0],[0,5359,5431,1,0],[1,5393,5465,1,0],[0,5431,5503,1,0],[1,5465,5537,1,0],[0,5503,5575,1,0],[1,5537,5609,1,0],[1,5609,5681,1,0],[0,5647,5719,1,0],[1,5681,5753,1,0],[0,5719,5791,1,0],[1,5753,5825,1,0],[1,5825,5897,1,0],[0,5863,5935,1,0],[1,5897,5969,1,0],[0,5935,6007,1,0],[1,5969,6041,1,0],[0,6007,6079,1,0],[1,6041,6113,1,0],[0,6079,6151,1,0],[1,6113,6185,1,0],[0,6151,6223,1,0],[1,6185,6257,1,0],[0,6223,6295,1,0],[1,6257,6329,1,0],[1,6345,6417,1,0],[1,6482,6554,1,0],[0,6509,6525,1,0],[0,6589,6605,1,0],[0,6725,6741,1,0],[0,6805,6821,1,0],[0,6885,6901,1,0],[0,6965,6981,1,0],[0,7101,7117,1,0],[0,7181,7197,1,0],[0,7261,7277,1,0],[0,7397,7413,1,0],[0,7477,7493,1,0],[0,7557,7573,1,0],[0,7637,7653,1,0],[0,7829,7845,1,0],[0,7909,7925,1,0],[0,7989,8005,1,0]],[[0,67,107,1,0],[0,107,179,1,0],[1,109,181,1,0],[1,181,253,1,0],[0,184,256,1,0],[1,253,325,1,0],[0,283,355,1,0],[1,365,437,1,0],[0,395,467,1,0],[1,437,509,1,0],[0,467,539,1,0],[0,544,616,1,0],[1,549,621,1,0],[1,621,693,1,0],[0,651,723,1,0],[1,733,805,1,0],[0,760,832,1,0],[1,805,877,1,0],[0,835,907,1,0],[1,877,949,1,0],[0,907,979,1,0],[0,980,1052,1,0],[1,989,1061,1,0],[1,1061,1133,1,0],[0,1091,1163,1,0],[1,1133,1205,1,0],[0,1163,1235,1,0],[1,1245,1317,1,0],[0,1275,1315,1,0],[0,1315,1387,1,0],[1,1317,1389,1,0],[1,1389,1461,1,0],[0,1419,1491,1,0],[0,1491,1531,1,0],[1,1501,1573,1,0],[0,1531,1603,1,0],[1,1575,1647,1,0],[0,1643,1715,1,0],[1,1647,1719,1,0],[1,1719,1791,1,0],[0,1747,1819,1,0],[0,1823,1863,1,0],[1,1829,1901,1,0],[0,1863,1935,1,0],[1,1901,1973,1,0],[0,1935,2007,1,0],[1,2014,2086,1,0],[0,2075,2147,1,0],[1,2086,2158,1,0],[0,2147,2219,1,0],[1,2198,2270,1,0],[0,2223,2295,1,0],[1,2270,2342,1,0],[0,2300,2372,1,0],[1,2344,2416,1,0],[0,2401,2473,1,0],[1,2416,2488,1,0],[0,2502,2574,1,0],[1,2526,2598,1,0],[0,2596,2636,1,0],[1,2598,2670,1,0],[0,2636,2708,1,0],[0,2708,2780,1,0],[1,2710,2782,1,0],[1,2782,2854,1,0],[0,2812,2884,1,0],[1,2894,2966,1,0],[0,2924,2996,1,0],[1,3006,3078,1,0],[0,3009,3081,1,0],[1,3078,3150,1,0],[0,3108,3180,1,0],[1,3150,3222,1,0],[0,3180,3252,1,0],[0,3260,3332,1,0],[1,3262,3334,1,0],[1,3334,3406,1,0],[0,3337,3377,1,0],[1,3406,3478,1,0],[0,3417,3457,1,0],[0,3457,3529,1,0],[1,3478,3550,1,0],[0,3531,3603,1,0],[1,3590,3662,1,0],[0,3603,3675,1,0],[1,3662,3734,1,0],[0,3692,3764,1,0],[1,3734,3806,1,0],[0,3787,3827,1,0],[1,3806,3878,1,0],[0,3827,3867,1,0],[1,3878,3950,1,0],[0,3908,3980,1,0],[1,3957,4029,1,0],[0,3980,4052,1,0],[1,4029,4101,1,0],[0,4052,4092,1,0],[1,4101,4173,1,0],[0,4124,4196,1,0],[1,4173,4245,1,0],[0,4196,4268,1,0],[1,4254,4326,1,0],[0,4268,4340,1,0],[1,4326,4398,1,0],[0,4340,4412,1,0],[1,4408,4480,1,0],[0,4414,4454,1,0],[1,4480,4552,1,0],[0,4484,4556,1,0],[1,4552,4624,1,0],[0,4558,4630,1,0],[1,4624,4696,1,0],[0,4636,4708,1,0],[0,4710,4750,1,0],[1,4712,4784,1,0],[0,4750,4790,1,0],[1,4784,4856,1,0],[0,4790,4862,1,0],[1,4856,4928,1,0],[0,4862,4934,1,0],[1,4928,5000,1,0],[0,4934,5006,1,0],[1,5000,5072,1,0],[0,5030,5070,1,0],[0,5070,5110,1,0],[1,5072,5144,1,0],[0,5110,5150,1,0],[1,5144,5216,1,0],[0,5206,5278,1,0],[1,5216,5288,1,0],[0,5278,5350,1,0],[1,5288,5360,1,0],[0,5350,5422,1,0],[1,5360,5432,1,0],[0,5422,5494,1,0],[1,5432,5504,1,0],[1,5504,5576,1,0],[0,5534,5606,1,0],[1,5576,5648,1,0],[0,5606,5678,1,0],[1,5648,5720,1,0],[0,5678,5750,1,0],[1,5721,5793,1,0],[0,5750,5822,1,0],[1,5795,5867,1,0],[0,5858,5930,1,0],[1,5867,5939,1,0],[1,5939,6011,1,0],[0,5958,6030,1,0],[1,6011,6083,1,0],[0,6060,6132,1,0],[1,6083,6155,1,0],[0,6146,6218,1,0],[1,6155,6227,1,0],[0,6218,6290,1,0],[1,6227,6299,1,0],[0,6290,6362,1,0],[1,6303,6375,1,0],[1,6375,6447,1,0],[1,6447,6519,1,0],[0,6596,6612,1,0],[0,6660,6676,1,0],[0,6740,6756,1,0],[0,6820,6836,1,0],[0,6900,6916,1,0],[0,6980,6996,1,0],[0,7060,7076,1,0],[0,7140,7156,1,0],[0,7220,7236,1,0],[0,7356,7372,1,0],[0,7436,7452,1,0],[0,7516,7532,1,0],[0,7596,7612,1,0],[0,7732,7748,1,0],[0,7812,7828,1,0],[0,7892,7908,1,0]],[[0,28,100,1,0],[1,71,143,1,0],[0,100,172,1,0],[1,143,215,1,0],[0,172,244,1,0],[1,215,287,1,0],[0,244,316,1,0],[0,316,388,1,0],[1,360,432,1,0],[0,388,444,1,0],[0,445,517,1,0],[1,472,544,1,0],[0,517,589,1,0],[1,544,616,1,0],[0,589,645,1,0],[1,616,688,1,0],[0,646,718,1,0],[1,688,760,1,0],[0,718,790,1,0],[1,760,832,1,0],[0,790,846,1,0],[0,852,924,1,0],[1,903,975,1,0],[0,924,996,1,0],[0,996,1068,1,0],[1,1008,1080,1,0],[0,1068,1140,1,0],[1,1110,1182,1,0],[0,1140,1196,1,0],[1,1182,1254,1,0],[0,1196,1268,1,0],[1,1264,1336,1,0],[0,1268,1340,1,0],[0,1366,1438,1,0],[1,1408,1480,1,0],[0,1452,1508,1,0],[0,1510,1582,1,0],[1,1552,1624,1,0],[0,1582,1654,1,0],[0,1654,1726,1,0],[1,1667,1739,1,0],[1,1739,1811,1,0],[0,1772,1844,1,0],[0,1860,1932,1,0],[1,1880,1952,1,0],[0,1942,2014,1,0],[1,2024,2096,1,0],[0,2076,2148,1,0],[1,2096,2168,1,0],[0,2148,2220,1,0],[1,2168,2240,1,0],[0,2220,2292,1,0],[1,2240,2312,1,0],[0,2292,2348,1,0],[1,2312,2384,1,0],[0,2380,2452,1,0],[1,2406,2478,1,0],[0,2452,2524,1,0],[0,2524,2596,1,0],[1,2552,2624,1,0],[0,2596,2668,1,0],[0,2694,2750,1,0],[1,2696,2768,1,0],[0,2766,2838,1,0],[1,2840,2912,1,0],[0,2884,2956,1,0],[1,2912,2984,1,0],[0,2956,3028,1,0],[1,3042,3114,1,0],[0,3086,3158,1,0],[1,3128,3200,1,0],[0,3158,3230,1,0],[1,3200,3272,1,0],[0,3244,3316,1,0],[1,3272,3344,1,0],[0,3340,3412,1,0],[1,3344,3416,1,0],[1,3416,3488,1,0],[0,3446,3518,1,0],[1,3488,3560,1,0],[0,3518,3590,1,0],[1,3560,3632,1,0],[0,3590,3662,1,0],[1,3632,3704,1,0],[1,3704,3776,1,0],[0,3712,3784,1,0],[0,3806,3878,1,0],[1,3842,3914,1,0],[0,3878,3950,1,0],[1,3914,3986,1,0],[1,3986,4058,1,0],[0,3998,4070,1,0],[1,4058,4130,1,0],[0,4094,4166,1,0],[1,4130,4202,1,0],[0,4166,4238,1,0],[1,4202,4274,1,0],[0,4244,4316,1,0],[1,4274,4346,1,0],[0,4316,4388,1,0],[1,4348,4420,1,0],[0,4408,4464,1,0],[1,4442,4514,1,0],[0,4485,4557,1,0],[1,4586,4658,1,0],[0,4604,4676,1,0],[0,4676,4748,1,0],[1,4730,4802,1,0],[0,4748,4820,1,0],[1,4874,4946,1,0],[0,4892,4964,1,0],[1,4946,5018,1,0],[0,4964,5020,1,0],[1,5018,5090,1,0],[0,5021,5077,1,0],[1,5090,5162,1,0],[0,5108,5180,1,0],[1,5162,5234,1,0],[0,5180,5252,1,0],[1,5234,5306,1,0],[0,5277,5349,1,0],[1,5306,5378,1,0],[0,5349,5421,1,0],[1,5378,5450,1,0],[0,5421,5493,1,0],[1,5450,5522,1,0],[0,5493,5565,1,0],[1,5522,5594,1,0],[0,5565,5637,1,0],[1,5623,5695,1,0],[1,5695,5767,1,0],[0,5709,5765,1,0],[1,5767,5839,1,0],[0,5824,5880,1,0],[1,5866,5938,1,0],[0,5880,5936,1,0],[0,5936,5992,1,0],[1,5938,6010,1,0],[0,5992,6064,1,0],[1,6010,6082,1,0],[0,6069,6141,1,0],[1,6082,6154,1,0],[0,6141,6213,1,0],[1,6154,6226,1,0],[0,6216,6272,1,0],[1,6226,6298,1,0],[1,6298,6370,1,0],[0,6341,6397,1,0],[1,6370,6442,1,0],[0,6429,6501,1,0],[1,6442,6514,1,0],[0,6501,6573,1,0],[1,6514,6586,1,0],[1,6586,6658,1,0],[0,6645,6717,1,0],[1,6658,6730,1,0],[1,6730,6802,1,0],[0,6789,6861,1,0]],[[0,68,108,1,0],[0,108,180,1,0],[1,111,183,1,0],[0,180,252,1,0],[1,183,255,1,0],[1,255,327,1,0],[0,276,292,1,0],[0,292,332,1,0],[1,327,399,1,0],[0,332,404,1,0],[1,399,471,1,0],[0,436,476,1,0],[1,471,543,1,0],[0,476,548,1,0],[1,543,615,1,0],[0,548,620,1,0],[1,663,735,1,0],[0,670,742,1,0],[1,735,807,1,0],[0,764,836,1,0],[0,836,908,1,0],[1,847,919,1,0],[1,929,1001,1,0],[0,958,1030,1,0],[1,1001,1073,1,0],[0,1030,1102,1,0],[1,1073,1145,1,0],[0,1103,1143,1,0],[0,1143,1215,1,0],[1,1145,1217,1,0],[1,1217,1289,1,0],[0,1244,1316,1,0],[1,1291,1363,1,0],[0,1318,1390,1,0],[1,1399,1471,1,0],[0,1428,1500,1,0],[1,1471,1543,1,0],[0,1503,1575,1,0],[1,1543,1615,1,0],[0,1612,1652,1,0],[1,1615,1687,1,0],[0,1652,1724,1,0],[0,1724,1796,1,0],[1,1727,1799,1,0],[1,1839,1911,1,0],[0,1860,1932,1,0],[1,1911,1983,1,0],[0,1942,2014,1,0],[1,2001,2073,1,0],[0,2014,2086,1,0],[1,2073,2145,1,0],[0,2092,2132,1,0],[1,2145,2217,1,0],[0,2158,2230,1,0],[1,2217,2289,1,0],[0,2236,2308,1,0],[1,2289,2361,1,0],[0,2316,2356,1,0],[1,2361,2433,1,0],[0,2409,2425,1,0],[0,2425,2497,1,0],[1,2433,2505,1,0],[0,2497,2569,1,0],[1,2505,2577,1,0],[0,2569,2641,1,0],[1,2577,2649,1,0],[1,2649,2721,1,0],[0,2676,2748,1,0],[1,2760,2832,1,0],[0,2788,2860,1,0],[1,2832,2904,1,0],[0,2860,2932,1,0],[1,2904,2976,1,0],[0,2932,3004,1,0],[1,3015,3087,1,0],[0,3020,3060,1,0],[0,3060,3100,1,0],[1,3087,3159,1,0],[0,3116,3188,1,0],[1,3159,3231,1,0],[0,3188,3260,1,0],[1,3231,3303,1,0],[0,3260,3332,1,0],[1,3303,3375,1,0],[0,3332,3404,1,0],[1,3375,3447,1,0],[0,3404,3476,1,0],[1,3447,3519,1,0],[0,3476,3548,1,0],[1,3519,3591,1,0],[0,3548,3620,1,0],[1,3591,3663,1,0],[0,3676,3716,1,0],[1,3679,3751,1,0],[0,3716,3788,1,0],[0,3788,3860,1,0],[1,3809,3881,1,0],[1,3881,3953,1,0],[0,3908,3980,1,0],[1,3953,4025,1,0],[0,3980,4020,1,0],[0,4020,4092,1,0],[1,4025,4097,1,0],[1,4097,4169,1,0],[0,4132,4204,1,0],[1,4175,4247,1,0],[0,4204,4244,1,0],[1,4247,4319,1,0],[0,4276,4348,1,0],[1,4319,4391,1,0],[0,4348,4388,1,0],[0,4388,4460,1,0],[1,4409,4481,1,0],[0,4460,4532,1,0],[1,4529,4601,1,0],[0,4564,4636,1,0],[1,4607,4679,1,0],[0,4636,4676,1,0],[1,4679,4751,1,0],[0,4702,4774,1,0],[1,4759,4831,1,0],[0,4774,4814,1,0],[0,4814,4886,1,0],[1,4889,4961,1,0],[0,4918,4990,1,0],[1,4961,5033,1,0],[0,4990,5062,1,0],[1,5033,5105,1,0],[0,5062,5134,1,0],[1,5105,5177,1,0],[0,5134,5206,1,0],[1,5177,5249,1,0],[0,5222,5294,1,0],[1,5249,5321,1,0],[0,5294,5366,1,0],[1,5321,5393,1,0],[0,5366,5438,1,0],[1,5393,5465,1,0],[1,5465,5537,1,0],[0,5494,5566,1,0],[1,5537,5609,1,0],[0,5566,5606,1,0],[1,5609,5681,1,0],[0,5638,5710,1,0],[1,5681,5753,1,0],[0,5726,5798,1,0],[1,5753,5825,1,0],[0,5798,5870,1,0],[1,5825,5897,1,0],[0,5870,5942,1,0],[1,5897,5969,1,0],[0,5942,6014,1,0],[1,5969,6041,1,0],[1,6041,6113,1,0],[0,6070,6142,1,0],[1,6113,6185,1,0],[0,6142,6214,1,0],[1,6185,6257,1,0],[0,6214,6286,1,0],[1,6257,6329,1,0],[0,6286,6358,1,0],[1,6329,6401,1,0],[0,6740,6756,1,0],[0,6820,6836,1,0],[0,6900,6916,1,0],[0,6980,6996,1,0],[0,7116,7132,1,0],[0,7196,7212,1,0],[0,7276,7292,1,0],[0,7412,7428,1,0],[0,7492,7508,1,0],[0,7572,7588,1,0],[0,7652,7668,1,0],[0,7788,7804,1,0],[0,7868,7884,1,0],[0,7948,7964,1,0]],[[1,71,143,1,0],[1,143,215,1,0],[1,289,361,1,0],[1,421,493,1,0],[1,493,565,1,0],[1,616,688,1,0],[1,721,793,1,0],[0,790,862,1,0],[1,822,894,1,0],[1,894,966,1,0],[1,977,1049,1,0],[1,1104,1176,1,0],[1,1193,1265,1,0],[0,1284,1356,1,0],[1,1295,1367,1,0],[1,1367,1439,1,0],[0,1414,1470,1,0],[1,1439,1511,1,0],[0,1470,1542,1,0],[1,1511,1583,1,0],[0,1542,1614,1,0],[1,1583,1655,1,0],[0,1637,1709,1,0],[1,1655,1727,1,0],[0,1709,1781,1,0],[1,1727,1799,1,0],[0,1788,1860,1,0],[1,1799,1871,1,0],[1,1871,1943,1,0],[0,1902,1974,1,0],[1,1943,2015,1,0],[0,1974,2046,1,0],[1,2015,2087,1,0],[0,2046,2118,1,0],[1,2087,2159,1,0],[0,2148,2220,1,0],[1,2159,2231,1,0],[0,2222,2278,1,0],[1,2231,2303,1,0],[1,2303,2375,1,0],[0,2306,2378,1,0],[1,2375,2447,1,0],[0,2378,2450,1,0],[1,2447,2519,1,0],[0,2454,2526,1,0],[1,2519,2591,1,0],[0,2532,2588,1,0],[1,2591,2663,1,0],[0,2598,2670,1,0],[1,2666,2738,1,0],[0,2670,2742,1,0],[1,2738,2810,1,0],[0,2742,2814,1,0],[1,2810,2882,1,0],[0,2814,2886,1,0],[1,2882,2954,1,0],[0,2909,2981,1,0],[1,2954,3026,1,0],[0,2981,3053,1,0],[1,3026,3098,1,0],[0,3053,3125,1,0],[1,3121,3193,1,0],[0,3125,3197,1,0],[1,3198,3270,1,0],[0,3201,3273,1,0],[1,3273,3345,1,0],[0,3276,3348,1,0],[1,3345,3417,1,0],[0,3386,3458,1,0],[1,3417,3489,1,0],[0,3458,3530,1,0],[1,3497,3569,1,0],[0,3530,3586,1,0],[1,3569,3641,1,0],[0,3586,3658,1,0],[1,3641,3713,1,0],[0,3658,3730,1,0],[1,3713,3785,1,0],[0,3730,3802,1,0],[1,3785,3857,1,0],[0,3818,3890,1,0],[1,3857,3929,1,0],[0,3902,3974,1,0],[1,3929,4001,1,0],[0,3974,4030,1,0],[1,4017,4089,1,0],[0,4046,4118,1,0],[1,4105,4177,1,0],[0,4118,4190,1,0],[1,4179,4251,1,0],[0,4206,4278,1,0],[1,4251,4323,1,0],[0,4284,4356,1,0],[1,4323,4395,1,0],[0,4356,4428,1,0],[1,4395,4467,1,0],[0,4428,4500,1,0],[1,4467,4539,1,0],[0,4500,4572,1,0],[1,4539,4611,1,0],[0,4572,4644,1,0],[1,4611,4683,1,0],[0,4678,4734,1,0],[1,4705,4777,1,0],[0,4734,4806,1,0],[1,4777,4849,1,0],[0,4806,4878,1,0],[1,4849,4921,1,0],[0,4878,4950,1,0],[1,4921,4993,1,0],[0,4983,5055,1,0],[1,4993,5065,1,0],[0,5055,5127,1,0],[1,5065,5137,1,0],[0,5127,5199,1,0],[1,5137,5209,1,0],[0,5206,5278,1,0],[1,5209,5281,1,0],[0,5278,5350,1,0],[1,5281,5353,1,0],[1,5353,5425,1,0],[0,5382,5438,1,0],[1,5425,5497,1,0],[0,5438,5494,1,0],[0,5510,5566,1,0],[1,5513,5585,1,0],[0,5566,5638,1,0],[1,5585,5657,1,0],[0,5638,5710,1,0],[1,5657,5729,1,0],[0,5710,5782,1,0],[1,5753,5825,1,0],[0,5782,5854,1,0],[1,5825,5897,1,0],[0,5854,5926,1,0],[1,5897,5969,1,0],[1,5969,6041,1,0],[0,6046,6102,1,0],[1,6113,6185,1,0],[0,6270,6326,1,0],[0,6494,6550,1,0],[0,6782,6838,1,0]],[[0,82,154,1,0],[1,125,197,1,0],[0,154,226,1,0],[1,197,269,1,0],[0,253,325,1,0],[1,325,397,1,0],[0,332,404,1,0],[1,397,469,1,0],[0,404,476,1,0],[1,469,541,1,0],[0,499,571,1,0],[1,597,669,1,0],[0,600,672,1,0],[1,669,741,1,0],[0,685,757,1,0],[0,757,829,1,0],[1,797,869,1,0],[0,829,901,1,0],[1,869,941,1,0],[1,941,1013,1,0],[0,955,1027,1,0],[0,1027,1099,1,0],[1,1069,1141,1,0],[0,1099,1171,1,0],[1,1141,1213,1,0],[0,1171,1243,1,0],[1,1213,1285,1,0],[1,1285,1357,1,0],[0,1315,1387,1,0],[0,1387,1459,1,0],[1,1413,1485,1,0],[0,1459,1531,1,0],[1,1485,1557,1,0],[0,1555,1627,1,0],[1,1557,1629,1,0],[1,1629,1701,1,0],[0,1659,1731,1,0],[1,1701,1773,1,0],[0,1731,1803,1,0],[0,1806,1878,1,0],[1,1829,1901,1,0],[1,1901,1973,1,0],[0,1915,1987,1,0],[1,1973,2045,1,0],[0,1987,2059,1,0],[0,2059,2131,1,0],[1,2101,2173,1,0],[1,2173,2245,1,0],[0,2191,2263,1,0],[1,2245,2317,1,0],[0,2275,2347,1,0],[0,2347,2419,1,0],[1,2373,2445,1,0],[0,2419,2491,1,0],[1,2445,2517,1,0],[1,2517,2589,1,0],[0,2531,2603,1,0],[1,2589,2661,1,0],[0,2619,2691,1,0],[0,2691,2763,1,0],[1,2717,2789,1,0],[0,2787,2843,1,0],[1,2789,2861,1,0],[1,2861,2933,1,0],[0,2864,2936,1,0],[0,2936,3008,1,0],[1,2989,3061,1,0],[0,3037,3109,1,0],[1,3081,3153,1,0],[0,3109,3181,1,0],[1,3205,3277,1,0],[0,3224,3296,1,0],[0,3296,3368,1,0],[1,3333,3405,1,0],[0,3368,3440,1,0],[1,3405,3477,1,0],[0,3469,3541,1,0],[1,3477,3549,1,0],[0,3563,3619,1,0],[1,3605,3677,1,0],[0,3619,3675,1,0],[1,3677,3749,1,0],[0,3685,3757,1,0],[1,3749,3821,1,0],[0,3779,3851,1,0],[0,3851,3923,1,0],[1,3877,3949,1,0],[1,3949,4021,1,0],[0,3952,4008,1,0],[1,4021,4093,1,0],[0,4051,4123,1,0],[0,4123,4195,1,0],[1,4149,4221,1,0],[0,4195,4267,1,0],[1,4221,4293,1,0],[1,4293,4365,1,0],[0,4307,4363,1,0],[1,4365,4437,1,0],[0,4395,4467,1,0],[1,4437,4509,1,0],[0,4467,4523,1,0],[1,4509,4581,1,0],[0,4523,4579,1,0],[1,4581,4653,1,0],[0,4595,4667,1,0],[1,4653,4725,1,0],[0,4699,4755,1,0],[1,4749,4821,1,0],[0,4755,4827,1,0],[1,4821,4893,1,0],[0,4827,4899,1,0],[1,4893,4965,1,0],[0,4899,4971,1,0],[1,4965,5037,1,0],[0,4971,5043,1,0],[1,5037,5109,1,0],[0,5043,5115,1,0],[1,5109,5181,1,0],[0,5115,5187,1,0],[1,5181,5253,1,0],[0,5187,5259,1,0],[1,5253,5325,1,0],[0,5315,5387,1,0],[1,5357,5429,1,0],[0,5387,5459,1,0],[1,5429,5501,1,0],[0,5459,5515,1,0],[1,5501,5573,1,0],[0,5531,5603,1,0],[1,5573,5645,1,0],[0,5619,5691,1,0],[1,5645,5717,1,0],[0,5691,5763,1,0],[1,5717,5789,1,0],[0,5763,5819,1,0],[1,5789,5861,1,0],[1,5861,5933,1,0],[0,5883,5939,1,0],[1,5933,6005,1,0],[0,5963,6035,1,0],[1,6005,6077,1,0],[0,6035,6091,1,0],[1,6077,6149,1,0],[0,6091,6163,1,0],[1,6149,6221,1,0],[0,6197,6269,1,0],[1,6221,6293,1,0],[0,6269,6341,1,0],[1,6317,6389,1,0],[0,6387,6443,1,0],[1,6389,6461,1,0],[1,6461,6533,1,0],[0,6475,6531,1,0],[1,6533,6605,1,0],[0,6557,6629,1,0],[1,6605,6677,1,0],[1,6677,6749,1,0],[1,6749,6821,1,0],[0,6971,7027,1,0],[0,7403,7459,1,0]],[[0,12,84,1,0],[1,71,143,1,0],[0,118,190,1,0],[1,143,215,1,0],[0,262,334,1,0],[1,287,359,1,0],[0,334,406,1,0],[1,415,487,1,0],[0,478,550,1,0],[1,520,592,1,0],[0,550,622,1,0],[1,592,664,1,0],[1,664,736,1,0],[0,694,766,1,0],[1,795,867,1,0],[0,838,910,1,0],[1,867,939,1,0],[1,939,1011,1,0],[0,982,1054,1,0],[1,1011,1083,1,0],[0,1054,1126,1,0],[1,1083,1155,1,0],[1,1155,1227,1,0],[0,1198,1270,1,0],[1,1227,1299,1,0],[1,1299,1371,1,0],[0,1342,1414,1,0],[1,1371,1443,1,0],[0,1414,1486,1,0],[0,1493,1565,1,0],[1,1519,1591,1,0],[0,1619,1691,1,0],[1,1663,1735,1,0],[0,1709,1781,1,0],[1,1735,1807,1,0],[0,1781,1853,1,0],[1,1807,1879,1,0],[1,1879,1951,1,0],[0,1918,1990,1,0],[1,1991,2063,1,0],[0,1997,2069,1,0],[1,2063,2135,1,0],[0,2069,2141,1,0],[1,2135,2207,1,0],[1,2207,2279,1,0],[0,2212,2268,1,0],[0,2284,2340,1,0],[1,2335,2407,1,0],[0,2356,2412,1,0],[0,2424,2496,1,0],[1,2479,2551,1,0],[0,2496,2568,1,0],[0,2581,2653,1,0],[1,2623,2695,1,0],[0,2712,2784,1,0],[1,2767,2839,1,0],[0,2784,2856,1,0],[1,2839,2911,1,0],[0,2869,2941,1,0],[1,2911,2983,1,0],[1,2983,3055,1,0],[0,3009,3065,1,0],[1,3055,3127,1,0],[0,3065,3121,1,0],[0,3157,3229,1,0],[1,3183,3255,1,0],[0,3252,3308,1,0],[0,3308,3364,1,0],[1,3327,3399,1,0],[0,3409,3481,1,0],[1,3471,3543,1,0],[0,3501,3573,1,0],[1,3543,3615,1,0],[0,3589,3661,1,0],[0,3661,3733,1,0],[1,3671,3743,1,0],[0,3733,3805,1,0],[1,3743,3815,1,0],[1,3815,3887,1,0],[0,3845,3917,1,0],[1,3887,3959,1,0],[0,3917,3989,1,0],[1,3999,4071,1,0],[0,4021,4093,1,0],[1,4071,4143,1,0],[0,4101,4173,1,0],[1,4143,4215,1,0],[0,4173,4245,1,0],[1,4215,4287,1,0],[0,4254,4326,1,0],[1,4296,4368,1,0],[0,4326,4398,1,0],[1,4368,4440,1,0],[0,4406,4462,1,0],[1,4440,4512,1,0],[0,4470,4542,1,0],[1,4512,4584,1,0],[0,4542,4614,1,0],[1,4584,4656,1,0],[0,4614,4686,1,0],[1,4656,4728,1,0],[0,4686,4758,1,0],[1,4728,4800,1,0],[0,4758,4830,1,0],[1,4800,4872,1,0],[0,4830,4902,1,0],[1,4872,4944,1,0],[0,4902,4974,1,0],[1,4944,5016,1,0],[0,4997,5053,1,0],[1,5043,5115,1,0],[0,5053,5125,1,0],[1,5115,5187,1,0],[0,5125,5197,1,0],[1,5187,5259,1,0],[0,5197,5269,1,0],[1,5259,5331,1,0],[0,5269,5341,1,0],[1,5338,5410,1,0],[0,5341,5413,1,0],[1,5410,5482,1,0],[0,5440,5512,1,0],[1,5494,5566,1,0],[0,5512,5584,1,0],[1,5580,5652,1,0],[0,5585,5657,1,0],[1,5652,5724,1,0],[0,5657,5729,1,0],[1,5726,5798,1,0],[0,5776,5832,1,0],[1,5798,5870,1,0],[0,5832,5904,1,0],[1,5870,5942,1,0],[0,5904,5960,1,0],[1,5942,6014,1,0],[0,5960,6016,1,0],[1,6014,6086,1,0],[0,6018,6090,1,0],[1,6086,6158,1,0],[0,6090,6162,1,0],[1,6158,6230,1,0],[0,6162,6234,1,0],[1,6268,6340,1,0],[0,6306,6378,1,0],[1,6340,6412,1,0],[0,6378,6450,1,0],[1,6412,6484,1,0],[1,6484,6556,1,0],[1,6556,6628,1,0],[0,6595,6667,1,0],[1,6628,6700,1,0],[1,6700,6772,1,0],[0,6739,6811,1,0],[1,6772,6844,1,0],[1,6844,6916,1,0],[0,6883,6955,1,0],[0,7097,7153,1,0],[0,7267,7323,1,0],[0,7443,7499,1,0],[0,7685,7741,1,0]],[[0,85,157,1,0],[1,127,199,1,0],[0,157,229,1,0],[1,199,271,1,0],[0,252,324,1,0],[1,327,399,1,0],[0,333,405,1,0],[1,399,471,1,0],[0,444,516,1,0],[1,471,543,1,0],[0,516,588,1,0],[1,599,671,1,0],[0,607,663,1,0],[0,663,735,1,0],[1,671,743,1,0],[1,743,815,1,0],[0,756,828,1,0],[0,828,900,1,0],[1,871,943,1,0],[0,900,972,1,0],[1,943,1015,1,0],[1,1015,1087,1,0],[0,1028,1100,1,0],[0,1100,1172,1,0],[1,1143,1215,1,0],[0,1172,1244,1,0],[1,1215,1287,1,0],[0,1244,1316,1,0],[1,1287,1359,1,0],[1,1359,1431,1,0],[0,1372,1428,1,0],[0,1428,1484,1,0],[0,1484,1540,1,0],[1,1487,1559,1,0],[0,1540,1612,1,0],[1,1559,1631,1,0],[1,1631,1703,1,0],[0,1660,1732,1,0],[1,1703,1775,1,0],[0,1732,1804,1,0],[1,1775,1847,1,0],[0,1804,1876,1,0],[1,1903,1975,1,0],[0,1916,1972,1,0],[1,1975,2047,1,0],[0,1988,2044,1,0],[1,2047,2119,1,0],[0,2050,2122,1,0],[1,2119,2191,1,0],[0,2122,2194,1,0],[0,2220,2292,1,0],[1,2247,2319,1,0],[1,2319,2391,1,0],[0,2338,2410,1,0],[1,2391,2463,1,0],[0,2410,2482,1,0],[1,2463,2535,1,0],[0,2492,2564,1,0],[1,2535,2607,1,0],[0,2564,2636,1,0],[1,2607,2679,1,0],[1,2679,2751,1,0],[0,2692,2764,1,0],[0,2764,2836,1,0],[1,2807,2879,1,0],[0,2836,2908,1,0],[1,2879,2951,1,0],[0,2908,2980,1,0],[1,2951,3023,1,0],[0,3026,3082,1,0],[1,3079,3151,1,0],[0,3082,3138,1,0],[1,3151,3223,1,0],[0,3180,3252,1,0],[1,3223,3295,1,0],[0,3252,3324,1,0],[1,3295,3367,1,0],[0,3324,3396,1,0],[0,3420,3476,1,0],[1,3423,3495,1,0],[0,3476,3532,1,0],[1,3495,3567,1,0],[1,3567,3639,1,0],[0,3572,3644,1,0],[1,3639,3711,1,0],[0,3644,3716,1,0],[0,3724,3796,1,0],[1,3767,3839,1,0],[0,3822,3878,1,0],[1,3875,3947,1,0],[0,3932,4004,1,0],[1,3947,4019,1,0],[0,4004,4060,1,0],[1,4019,4091,1,0],[0,4068,4140,1,0],[1,4091,4163,1,0],[0,4140,4212,1,0],[1,4163,4235,1,0],[0,4212,4284,1,0],[1,4235,4307,1,0],[0,4284,4356,1,0],[1,4309,4381,1,0],[1,4382,4454,1,0],[0,4396,4452,1,0],[0,4452,4508,1,0],[1,4454,4526,1,0],[0,4508,4580,1,0],[1,4526,4598,1,0],[0,4580,4652,1,0],[1,4598,4670,1,0],[0,4718,4790,1,0],[1,4727,4799,1,0],[0,4790,4846,1,0],[1,4799,4871,1,0],[0,4868,4940,1,0],[1,4871,4943,1,0],[0,4956,5012,1,0],[1,4999,5071,1,0],[0,5078,5150,1,0],[1,5087,5159,1,0],[0,5150,5222,1,0],[1,5215,5287,1,0],[0,5244,5316,1,0],[1,5287,5359,1,0],[0,5316,5388,1,0],[1,5359,5431,1,0],[0,5388,5460,1,0],[1,5431,5503,1,0],[0,5460,5532,1,0],[1,5503,5575,1,0],[0,5532,5604,1,0],[1,5575,5647,1,0],[0,5604,5676,1,0],[1,5647,5719,1,0],[0,5676,5748,1,0],[1,5719,5791,1,0],[0,5788,5860,1,0],[1,5799,5871,1,0],[0,5860,5932,1,0],[1,5871,5943,1,0],[1,5943,6015,1,0],[0,5964,6036,1,0],[1,6015,6087,1,0],[0,6036,6108,1,0],[1,6119,6191,1,0],[0,6180,6252,1,0],[1,6191,6263,1,0],[0,6252,6324,1,0],[1,6263,6335,1,0],[0,6324,6396,1,0],[1,6335,6407,1,0],[1,6407,6479,1,0],[0,6468,6540,1,0],[1,6479,6551,1,0],[0,6540,6612,1,0],[1,6551,6623,1,0],[0,6612,6684,1,0],[1,6623,6695,1,0],[0,6684,6756,1,0],[1,6695,6767,1,0]],[[0,11,83,1,0],[1,71,143,1,0],[0,117,189,1,0],[1,143,215,1,0],[0,261,333,1,0],[1,289,361,1,0],[0,414,486,1,0],[1,433,505,1,0],[0,558,630,1,0],[1,577,649,1,0],[0,694,766,1,0],[1,721,793,1,0],[0,774,846,1,0],[1,793,865,1,0],[1,865,937,1,0],[0,909,981,1,0],[1,937,1009,1,0],[0,981,1053,1,0],[1,1009,1081,1,0],[0,1062,1134,1,0],[1,1081,1153,1,0],[1,1153,1225,1,0],[0,1197,1269,1,0],[1,1225,1297,1,0],[0,1278,1350,1,0],[1,1297,1369,1,0],[0,1350,1422,1,0],[1,1369,1441,1,0],[0,1438,1510,1,0],[1,1441,1513,1,0],[0,1566,1638,1,0],[1,1577,1649,1,0],[0,1638,1710,1,0],[1,1649,1721,1,0],[0,1726,1798,1,0],[1,1777,1849,1,0],[1,1849,1921,1,0],[0,1854,1926,1,0],[1,1922,1994,1,0],[0,1946,2018,1,0],[1,1994,2066,1,0],[1,2066,2138,1,0],[0,2078,2150,1,0],[1,2138,2210,1,0],[0,2150,2222,1,0],[1,2210,2282,1,0],[0,2235,2307,1,0],[1,2282,2354,1,0],[1,2354,2426,1,0],[0,2366,2438,1,0],[1,2426,2498,1,0],[1,2498,2570,1,0],[0,2510,2582,1,0],[1,2570,2642,1,0],[0,2595,2667,1,0],[1,2642,2714,1,0],[1,2714,2786,1,0],[0,2731,2787,1,0],[1,2786,2858,1,0],[0,2803,2859,1,0],[1,2858,2930,1,0],[0,2870,2942,1,0],[1,2930,3002,1,0],[0,2955,3027,1,0],[1,3002,3074,1,0],[0,3027,3099,1,0],[1,3074,3146,1,0],[0,3126,3198,1,0],[1,3174,3246,1,0],[0,3230,3302,1,0],[1,3246,3318,1,0],[1,3318,3390,1,0],[0,3381,3437,1,0],[1,3390,3462,1,0],[0,3446,3518,1,0],[1,3462,3534,1,0],[0,3525,3581,1,0],[1,3585,3657,1,0],[0,3590,3662,1,0],[1,3657,3729,1,0],[0,3686,3758,1,0],[1,3729,3801,1,0],[0,3758,3830,1,0],[1,3810,3882,1,0],[0,3830,3902,1,0],[1,3882,3954,1,0],[0,3909,3965,1,0],[1,3954,4026,1,0],[0,3974,4046,1,0],[1,4026,4098,1,0],[0,4046,4118,1,0],[1,4098,4170,1,0],[0,4118,4190,1,0],[0,4190,4262,1,0],[1,4203,4275,1,0],[0,4262,4334,1,0],[1,4275,4347,1,0],[1,4347,4419,1,0],[0,4373,4429,1,0],[1,4419,4491,1,0],[0,4429,4501,1,0],[1,4491,4563,1,0],[0,4501,4573,1,0],[1,4563,4635,1,0],[0,4573,4645,1,0],[1,4638,4710,1,0],[0,4645,4717,1,0],[1,4710,4782,1,0],[0,4717,4789,1,0],[1,4782,4854,1,0],[0,4789,4861,1,0],[0,4861,4933,1,0],[1,4872,4944,1,0],[1,4944,5016,1,0],[0,4973,5045,1,0],[1,5016,5088,1,0],[0,5045,5117,1,0],[1,5088,5160,1,0],[0,5117,5189,1,0],[1,5160,5232,1,0],[0,5205,5261,1,0],[1,5232,5304,1,0],[0,5261,5333,1,0],[1,5305,5377,1,0],[0,5333,5405,1,0],[1,5377,5449,1,0],[0,5405,5477,1,0],[1,5449,5521,1,0],[0,5507,5563,1,0],[1,5521,5593,1,0],[0,5563,5635,1,0],[1,5593,5665,1,0],[0,5635,5691,1,0],[1,5665,5737,1,0],[0,5691,5763,1,0],[1,5737,5809,1,0],[0,5763,5835,1,0],[1,5809,5881,1,0],[0,5851,5923,1,0],[1,5882,5954,1,0],[0,5926,5998,1,0],[1,5954,6026,1,0],[0,5998,6070,1,0],[1,6026,6098,1,0],[1,6098,6170,1,0],[0,6126,6182,1,0],[0,6182,6254,1,0],[1,6220,6292,1,0],[0,6254,6326,1,0],[1,6292,6364,1,0],[1,6364,6436,1,0],[0,6393,6465,1,0],[0,6528,6584,1,0],[0,6609,6681,1,0],[0,6681,6753,1,0],[0,6920,6976,1,0],[0,7088,7144,1,0],[0,7288,7344,1,0],[0,7504,7560,1,0],[0,7728,7784,1,0]],[[1,71,143,1,0],[0,92,164,1,0],[1,143,215,1,0],[1,215,287,1,0],[0,246,318,1,0],[1,287,359,1,0],[0,327,399,1,0],[1,369,441,1,0],[1,441,513,1,0],[0,471,543,1,0],[1,513,585,1,0],[0,543,615,1,0],[1,586,658,1,0],[0,646,718,1,0],[1,658,730,1,0],[1,730,802,1,0],[0,760,832,1,0],[1,802,874,1,0],[0,832,904,1,0],[1,874,946,1,0],[0,914,986,1,0],[1,946,1018,1,0],[1,1018,1090,1,0],[0,1058,1130,1,0],[1,1090,1162,1,0],[1,1162,1234,1,0],[0,1202,1274,1,0],[1,1234,1306,1,0],[0,1294,1366,1,0],[1,1306,1378,1,0],[1,1378,1450,1,0],[0,1404,1476,1,0],[1,1450,1522,1,0],[0,1510,1582,1,0],[1,1522,1594,1,0],[1,1594,1666,1,0],[0,1624,1696,1,0],[0,1696,1768,1,0],[1,1720,1792,1,0],[1,1792,1864,1,0],[0,1798,1870,1,0],[1,1864,1936,1,0],[0,1876,1948,1,0],[1,1936,2008,1,0],[0,1984,2056,1,0],[1,2008,2080,1,0],[0,2056,2128,1,0],[1,2080,2152,1,0],[1,2152,2224,1,0],[0,2164,2236,1,0],[1,2224,2296,1,0],[0,2283,2355,1,0],[1,2296,2368,1,0],[1,2368,2440,1,0],[0,2380,2452,1,0],[1,2440,2512,1,0],[1,2512,2584,1,0],[0,2515,2571,1,0],[0,2571,2643,1,0],[1,2584,2656,1,0],[1,2656,2728,1,0],[0,2659,2715,1,0],[1,2728,2800,1,0],[0,2741,2813,1,0],[1,2813,2885,1,0],[0,2840,2912,1,0],[0,2915,2987,1,0],[1,2936,3008,1,0],[0,3003,3075,1,0],[1,3008,3080,1,0],[1,3080,3152,1,0],[0,3128,3200,1,0],[1,3152,3224,1,0],[0,3200,3272,1,0],[1,3224,3296,1,0],[0,3291,3363,1,0],[1,3296,3368,1,0],[1,3368,3440,1,0],[0,3420,3492,1,0],[1,3440,3512,1,0],[0,3492,3564,1,0],[1,3512,3584,1,0],[0,3568,3640,1,0],[1,3648,3720,1,0],[0,3699,3755,1,0],[1,3720,3792,1,0],[0,3755,3827,1,0],[1,3792,3864,1,0],[0,3827,3899,1,0],[1,3864,3936,1,0],[0,3899,3971,1,0],[1,3936,4008,1,0],[0,3971,4043,1,0],[1,4008,4080,1,0],[1,4080,4152,1,0],[0,4083,4155,1,0],[1,4152,4224,1,0],[0,4155,4227,1,0],[1,4224,4296,1,0],[0,4227,4299,1,0],[1,4296,4368,1,0],[0,4299,4371,1,0],[1,4368,4440,1,0],[0,4399,4471,1,0],[1,4440,4512,1,0],[0,4471,4543,1,0],[1,4524,4596,1,0],[0,4558,4614,1,0],[0,4614,4686,1,0],[1,4627,4699,1,0],[0,4686,4758,1,0],[1,4699,4771,1,0],[0,4758,4830,1,0],[1,4771,4843,1,0],[0,4830,4902,1,0],[1,4843,4915,1,0],[0,4902,4974,1,0],[1,4915,4987,1,0],[1,4987,5059,1,0],[0,4987,5059,1,0],[1,5059,5131,1,0],[0,5078,5134,1,0],[1,5131,5203,1,0],[0,5134,5190,1,0],[1,5203,5275,1,0],[0,5206,5262,1,0],[0,5262,5334,1,0],[1,5302,5374,1,0],[0,5350,5406,1,0],[1,5374,5446,1,0],[0,5406,5478,1,0],[1,5446,5518,1,0],[0,5483,5539,1,0],[0,5555,5611,1,0],[1,5566,5638,1,0],[0,5627,5683,1,0],[1,5638,5710,1,0],[0,5683,5739,1,0],[1,5710,5782,1,0],[0,5739,5811,1,0],[1,5782,5854,1,0],[0,5811,5883,1,0],[1,5854,5926,1,0],[0,5915,5971,1,0],[1,5926,5998,1,0],[0,5971,6043,1,0],[1,5998,6070,1,0],[0,6043,6115,1,0],[1,6070,6142,1,0],[0,6140,6196,1,0],[0,6259,6331,1,0],[0,6340,6396,1,0],[0,6452,6508,1,0],[0,6547,6619,1,0],[0,6763,6835,1,0],[0,6907,6979,1,0],[0,7123,7195,1,0],[0,7267,7339,1,0],[0,7483,7555,1,0],[0,7699,7771,1,0]],[[0,12,84,1,0],[1,71,143,1,0],[0,117,189,1,0],[1,198,270,1,0],[0,262,334,1,0],[1,270,342,1,0],[0,386,458,1,0],[1,400,472,1,0],[0,458,530,1,0],[1,512,584,1,0],[1,584,656,1,0],[0,620,692,1,0],[1,656,728,1,0],[0,708,780,1,0],[1,728,800,1,0],[0,794,866,1,0],[1,840,912,1,0],[1,912,984,1,0],[0,954,1026,1,0],[1,984,1056,1,0],[0,1098,1170,1,0],[1,1112,1184,1,0],[1,1184,1256,1,0],[0,1212,1252,1,0],[0,1252,1324,1,0],[1,1256,1328,1,0],[0,1358,1430,1,0],[1,1390,1462,1,0],[0,1476,1548,1,0],[1,1512,1584,1,0],[0,1548,1620,1,0],[1,1584,1656,1,0],[1,1656,1728,1,0],[0,1692,1764,1,0],[1,1728,1800,1,0],[0,1770,1842,1,0],[1,1832,1904,1,0],[0,1846,1918,1,0],[1,1904,1976,1,0],[1,1976,2048,1,0],[0,1992,2064,1,0],[1,2048,2120,1,0],[0,2064,2080,1,0],[0,2080,2152,1,0],[1,2120,2192,1,0],[0,2166,2238,1,0],[1,2194,2266,1,0],[0,2276,2348,1,0],[1,2320,2392,1,0],[0,2380,2452,1,0],[1,2392,2464,1,0],[1,2464,2536,1,0],[0,2492,2564,1,0],[0,2564,2636,1,0],[1,2592,2664,1,0],[0,2659,2731,1,0],[1,2721,2793,1,0],[1,2793,2865,1,0],[0,2798,2870,1,0],[1,2865,2937,1,0],[0,2870,2910,1,0],[0,2910,2982,1,0],[1,2937,3009,1,0],[0,2982,3054,1,0],[1,3009,3081,1,0],[1,3081,3153,1,0],[0,3094,3166,1,0],[1,3153,3225,1,0],[0,3166,3238,1,0],[1,3225,3297,1,0],[0,3238,3310,1,0],[1,3297,3369,1,0],[0,3317,3389,1,0],[1,3369,3441,1,0],[0,3407,3479,1,0],[1,3441,3513,1,0],[0,3479,3551,1,0],[1,3513,3585,1,0],[1,3585,3657,1,0],[0,3588,3660,1,0],[0,3660,3732,1,0],[1,3663,3735,1,0],[1,3735,3807,1,0],[0,3767,3839,1,0],[1,3807,3879,1,0],[1,3879,3951,1,0],[0,3882,3922,1,0],[0,3922,3994,1,0],[1,4002,4074,1,0],[0,4030,4102,1,0],[1,4074,4146,1,0],[0,4105,4177,1,0],[1,4146,4218,1,0],[0,4177,4249,1,0],[1,4246,4318,1,0],[0,4249,4321,1,0],[1,4318,4390,1,0],[0,4348,4420,1,0],[1,4390,4462,1,0],[0,4420,4492,1,0],[1,4462,4534,1,0],[0,4492,4564,1,0],[1,4534,4606,1,0],[1,4606,4678,1,0],[0,4609,4681,1,0],[1,4678,4750,1,0],[0,4681,4721,1,0],[0,4721,4793,1,0],[1,4750,4822,1,0],[0,4793,4833,1,0],[1,4822,4894,1,0],[0,4845,4861,1,0],[0,4861,4933,1,0],[1,4894,4966,1,0],[0,4933,5005,1,0],[1,4966,5038,1,0],[0,5005,5045,1,0],[1,5038,5110,1,0],[0,5045,5117,1,0],[1,5126,5198,1,0],[0,5129,5201,1,0],[1,5198,5270,1,0],[0,5201,5273,1,0],[1,5270,5342,1,0],[0,5273,5345,1,0],[1,5351,5423,1,0],[0,5373,5445,1,0],[1,5423,5495,1,0],[0,5445,5517,1,0],[1,5503,5575,1,0],[0,5517,5589,1,0],[1,5605,5677,1,0],[0,5632,5704,1,0],[1,5681,5753,1,0],[0,5704,5720,1,0],[0,5720,5792,1,0],[1,5753,5825,1,0],[0,5792,5864,1,0],[1,5831,5903,1,0],[0,5864,5936,1,0],[1,5936,6008,1,0],[0,5965,6037,1,0],[1,6008,6080,1,0],[0,6052,6092,1,0],[1,6080,6152,1,0],[0,6092,6164,1,0],[1,6152,6224,1,0],[0,6164,6236,1,0],[1,6246,6318,1,0],[0,6316,6356,1,0],[1,6318,6390,1,0],[0,6356,6372,1,0],[0,6372,6444,1,0],[1,6390,6462,1,0],[1,6462,6534,1,0],[1,6534,6606,1,0],[0,6541,6557,1,0],[0,6557,6573,1,0],[0,6615,6655,1,0],[0,6687,6727,1,0],[0,6791,6831,1,0],[0,6845,6861,1,0],[0,6877,6893,1,0],[0,6925,6941,1,0],[0,6973,6989,1,0],[0,7063,7103,1,0],[0,7125,7141,1,0],[0,7231,7271,1,0],[0,7277,7293,1,0],[0,7349,7365,1,0],[0,7381,7397,1,0],[0,7429,7445,1,0],[0,7477,7493,1,0],[0,7607,7647,1,0],[0,7751,7791,1,0],[0,7903,7943,1,0]],[[1,71,143,1,0],[0,91,163,1,0],[1,143,215,1,0],[1,215,287,1,0],[0,252,308,1,0],[1,287,359,1,0],[0,324,396,1,0],[1,359,431,1,0],[0,396,468,1,0],[1,439,511,1,0],[0,468,540,1,0],[1,511,583,1,0],[1,583,655,1,0],[0,612,684,1,0],[1,655,727,1,0],[0,684,756,1,0],[1,727,799,1,0],[0,788,860,1,0],[1,829,901,1,0],[0,900,972,1,0],[1,957,1029,1,0],[0,972,1044,1,0],[1,1029,1101,1,0],[0,1060,1132,1,0],[1,1101,1173,1,0],[1,1173,1245,1,0],[0,1204,1276,1,0],[1,1245,1317,1,0],[0,1276,1348,1,0],[1,1317,1389,1,0],[1,1389,1461,1,0],[0,1406,1478,1,0],[1,1461,1533,1,0],[0,1492,1564,1,0],[1,1533,1605,1,0],[0,1564,1636,1,0],[1,1606,1678,1,0],[1,1678,1750,1,0],[0,1681,1753,1,0],[1,1750,1822,1,0],[0,1780,1852,1,0],[1,1822,1894,1,0],[0,1864,1936,1,0],[1,1894,1966,1,0],[0,1982,2054,1,0],[1,2031,2103,1,0],[0,2063,2135,1,0],[1,2103,2175,1,0],[1,2175,2247,1,0],[0,2207,2279,1,0],[1,2247,2319,1,0],[1,2319,2391,1,0],[0,2351,2423,1,0],[1,2391,2463,1,0],[0,2424,2496,1,0],[1,2463,2535,1,0],[1,2535,2607,1,0],[0,2567,2639,1,0],[1,2607,2679,1,0],[1,2679,2751,1,0],[0,2708,2764,1,0],[1,2751,2823,1,0],[0,2764,2820,1,0],[1,2823,2895,1,0],[0,2855,2927,1,0],[1,2895,2967,1,0],[1,2967,3039,1,0],[0,2972,3028,1,0],[1,3039,3111,1,0],[0,3071,3143,1,0],[1,3111,3183,1,0],[0,3143,3215,1,0],[1,3183,3255,1,0],[0,3244,3300,1,0],[1,3255,3327,1,0],[0,3300,3372,1,0],[1,3327,3399,1,0],[1,3399,3471,1,0],[0,3431,3503,1,0],[1,3471,3543,1,0],[0,3503,3575,1,0],[1,3543,3615,1,0],[0,3576,3648,1,0],[1,3615,3687,1,0],[0,3668,3740,1,0],[1,3687,3759,1,0],[0,3740,3812,1,0],[1,3759,3831,1,0],[0,3830,3886,1,0],[1,3835,3907,1,0],[0,3886,3958,1,0],[1,3907,3979,1,0],[1,3979,4051,1,0],[0,3992,4064,1,0],[0,4064,4136,1,0],[1,4087,4159,1,0],[0,4136,4208,1,0],[1,4159,4231,1,0],[0,4208,4280,1,0],[1,4231,4303,1,0],[0,4287,4343,1,0],[1,4303,4375,1,0],[0,4343,4415,1,0],[1,4375,4447,1,0],[0,4433,4489,1,0],[1,4447,4519,1,0],[0,4489,4561,1,0],[1,4519,4591,1,0],[0,4561,4633,1,0],[1,4591,4663,1,0],[0,4633,4705,1,0],[1,4663,4735,1,0],[0,4705,4777,1,0],[1,4735,4807,1,0],[0,4777,4833,1,0],[1,4812,4884,1,0],[0,4833,4889,1,0],[1,4902,4974,1,0],[0,4905,4961,1,0],[1,4974,5046,1,0],[0,4977,5033,1,0],[0,5033,5105,1,0],[1,5046,5118,1,0],[0,5105,5177,1,0],[1,5132,5204,1,0],[0,5177,5249,1,0],[1,5204,5276,1,0],[0,5249,5321,1,0],[1,5276,5348,1,0],[0,5321,5393,1,0],[1,5348,5420,1,0],[0,5393,5465,1,0],[1,5420,5492,1,0],[1,5492,5564,1,0],[0,5510,5566,1,0],[1,5564,5636,1,0],[0,5567,5623,1,0],[0,5623,5695,1,0],[1,5641,5713,1,0],[0,5695,5767,1,0],[1,5713,5785,1,0],[0,5767,5839,1,0],[1,5785,5857,1,0],[1,5857,5929,1,0],[0,5870,5942,1,0],[1,5929,6001,1,0],[0,5942,6014,1,0],[0,6057,6113,1,0],[1,6068,6140,1,0],[0,6129,6185,1,0],[0,6185,6257,1,0],[0,6289,6361,1,0],[0,6417,6489,1,0],[0,6529,6601,1,0],[0,6601,6673,1,0],[0,6673,6745,1,0],[0,6849,6921,1,0],[0,7065,7137,1,0],[0,7211,7283,1,0],[0,7355,7427,1,0]],[[0,11,83,1,0],[1,71,143,1,0],[0,120,192,1,0],[1,220,292,1,0],[0,245,317,1,0],[1,364,436,1,0],[0,421,461,1,0],[1,436,508,1,0],[0,499,571,1,0],[1,508,580,1,0],[1,652,724,1,0],[0,717,789,1,0],[1,760,832,1,0],[1,832,904,1,0],[0,837,909,1,0],[1,904,976,1,0],[0,971,1043,1,0],[1,1032,1104,1,0],[0,1077,1093,1,0],[0,1129,1201,1,0],[1,1172,1244,1,0],[0,1218,1234,1,0],[0,1234,1306,1,0],[1,1261,1333,1,0],[0,1325,1341,1,0],[1,1333,1405,1,0],[0,1378,1450,1,0],[1,1406,1478,1,0],[0,1450,1466,1,0],[0,1466,1538,1,0],[1,1512,1584,1,0],[0,1541,1613,1,0],[1,1584,1656,1,0],[0,1625,1697,1,0],[1,1656,1728,1,0],[1,1728,1800,1,0],[0,1733,1749,1,0],[0,1757,1829,1,0],[1,1800,1872,1,0],[0,1841,1913,1,0],[1,1872,1944,1,0],[0,1917,1989,1,0],[1,1944,2016,1,0],[0,2005,2077,1,0],[1,2032,2104,1,0],[0,2117,2189,1,0],[1,2160,2232,1,0],[0,2207,2279,1,0],[1,2232,2304,1,0],[0,2297,2369,1,0],[1,2304,2376,1,0],[0,2389,2461,1,0],[1,2432,2504,1,0],[0,2462,2478,1,0],[0,2497,2569,1,0],[1,2541,2613,1,0],[0,2585,2657,1,0],[1,2613,2685,1,0],[0,2657,2729,1,0],[1,2685,2757,1,0],[1,2757,2829,1,0],[0,2792,2808,1,0],[0,2808,2880,1,0],[1,2888,2960,1,0],[0,2911,2951,1,0],[0,2951,2967,1,0],[1,2960,3032,1,0],[0,2967,3039,1,0],[1,3042,3114,1,0],[0,3057,3129,1,0],[1,3114,3186,1,0],[0,3149,3221,1,0],[1,3186,3258,1,0],[0,3221,3293,1,0],[1,3258,3330,1,0],[0,3322,3338,1,0],[0,3338,3378,1,0],[1,3376,3448,1,0],[0,3384,3400,1,0],[0,3405,3477,1,0],[1,3448,3520,1,0],[0,3490,3530,1,0],[1,3520,3592,1,0],[0,3549,3621,1,0],[1,3592,3664,1,0],[0,3621,3693,1,0],[1,3666,3738,1,0],[0,3693,3765,1,0],[1,3738,3810,1,0],[0,3768,3840,1,0],[1,3810,3882,1,0],[0,3848,3864,1,0],[0,3864,3880,1,0],[1,3899,3971,1,0],[0,3913,3985,1,0],[1,3971,4043,1,0],[0,3985,4057,1,0],[1,4043,4115,1,0],[0,4057,4073,1,0],[0,4074,4146,1,0],[1,4123,4195,1,0],[0,4148,4220,1,0],[1,4251,4323,1,0],[0,4265,4281,1,0],[0,4281,4353,1,0],[1,4323,4395,1,0],[0,4353,4425,1,0],[1,4395,4467,1,0],[0,4425,4497,1,0],[1,4471,4543,1,0],[0,4498,4514,1,0],[0,4514,4530,1,0],[0,4538,4610,1,0],[1,4543,4615,1,0],[0,4610,4682,1,0],[1,4615,4687,1,0],[1,4694,4766,1,0],[0,4714,4754,1,0],[0,4754,4826,1,0],[1,4766,4838,1,0],[0,4827,4899,1,0],[1,4877,4949,1,0],[0,4899,4971,1,0],[1,4958,5030,1,0],[0,4988,5028,1,0],[0,5028,5100,1,0],[1,5054,5126,1,0],[0,5100,5172,1,0],[1,5143,5215,1,0],[0,5190,5262,1,0],[1,5237,5309,1,0],[0,5292,5332,1,0],[1,5309,5381,1,0],[0,5332,5404,1,0],[1,5381,5453,1,0],[0,5404,5476,1,0],[1,5453,5525,1,0],[0,5478,5550,1,0],[1,5525,5597,1,0],[0,5550,5622,1,0],[1,5597,5669,1,0],[0,5640,5712,1,0],[1,5669,5741,1,0],[1,5741,5813,1,0],[0,5744,5784,1,0],[0,5784,5856,1,0],[1,5813,5885,1,0],[0,5856,5896,1,0],[1,5885,5957,1,0],[0,5896,5968,1,0],[1,5957,6029,1,0],[0,6006,6046,1,0],[1,6029,6101,1,0],[0,6046,6118,1,0],[1,6101,6173,1,0],[0,6118,6158,1,0],[1,6173,6245,1,0],[0,6190,6230,1,0],[0,6230,6270,1,0],[1,6245,6317,1,0],[0,6270,6342,1,0],[1,6317,6389,1,0],[0,6382,6422,1,0],[1,6389,6461,1,0],[1,6461,6533,1,0],[0,6464,6504,1,0],[1,6533,6605,1,0],[0,6558,6630,1,0],[1,6677,6749,1,0],[0,6702,6774,1,0],[1,6749,6821,1,0],[0,6920,6992,1,0],[0,7200,7240,1,0],[0,7280,7352,1,0],[0,7496,7568,1,0],[0,7712,7784,1,0]],[[1,71,143,1,0],[1,143,215,1,0],[1,215,287,1,0],[1,319,391,1,0],[1,448,520,1,0],[1,581,653,1,0],[1,709,781,1,0],[1,808,880,1,0],[1,880,952,1,0],[1,952,1024,1,0],[1,1024,1096,1,0],[1,1096,1168,1,0],[1,1168,1240,1,0],[1,1240,1312,1,0],[0,1281,1353,1,0],[1,1312,1384,1,0],[0,1353,1425,1,0],[1,1384,1456,1,0],[1,1456,1528,1,0],[0,1478,1550,1,0],[1,1530,1602,1,0],[0,1584,1656,1,0],[1,1602,1674,1,0],[1,1674,1746,1,0],[0,1677,1693,1,0],[0,1693,1709,1,0],[0,1709,1781,1,0],[1,1746,1818,1,0],[0,1782,1798,1,0],[1,1839,1911,1,0],[0,1854,1926,1,0],[1,1911,1983,1,0],[0,1928,1944,1,0],[0,1944,1984,1,0],[0,1984,2056,1,0],[1,1986,2058,1,0],[1,2058,2130,1,0],[0,2070,2142,1,0],[1,2130,2202,1,0],[0,2160,2200,1,0],[0,2202,2274,1,0],[1,2239,2311,1,0],[0,2274,2346,1,0],[1,2311,2383,1,0],[0,2346,2418,1,0],[1,2383,2455,1,0],[0,2418,2490,1,0],[1,2455,2527,1,0],[0,2494,2534,1,0],[1,2527,2599,1,0],[0,2534,2574,1,0],[0,2574,2646,1,0],[1,2599,2671,1,0],[1,2671,2743,1,0],[0,2696,2768,1,0],[1,2743,2815,1,0],[0,2768,2840,1,0],[1,2832,2904,1,0],[0,2840,2912,1,0],[1,2904,2976,1,0],[0,2928,3000,1,0],[1,2976,3048,1,0],[0,3000,3072,1,0],[1,3048,3120,1,0],[0,3072,3144,1,0],[1,3120,3192,1,0],[0,3152,3192,1,0],[1,3192,3264,1,0],[0,3192,3264,1,0],[0,3264,3336,1,0],[1,3270,3342,1,0],[0,3336,3408,1,0],[1,3342,3414,1,0],[1,3414,3486,1,0],[0,3433,3473,1,0],[0,3473,3513,1,0],[1,3486,3558,1,0],[0,3516,3532,1,0],[0,3532,3604,1,0],[1,3558,3630,1,0],[0,3624,3696,1,0],[1,3630,3702,1,0],[0,3720,3792,1,0],[1,3740,3812,1,0],[0,3792,3864,1,0],[1,3812,3884,1,0],[0,3864,3904,1,0],[1,3884,3956,1,0],[0,3904,3976,1,0],[1,3956,4028,1,0],[0,3976,4048,1,0],[1,4030,4102,1,0],[0,4057,4129,1,0],[1,4102,4174,1,0],[0,4129,4201,1,0],[1,4174,4246,1,0],[0,4201,4273,1,0],[1,4246,4318,1,0],[0,4279,4295,1,0],[0,4299,4371,1,0],[1,4318,4390,1,0],[0,4380,4452,1,0],[1,4403,4475,1,0],[1,4475,4547,1,0],[0,4485,4557,1,0],[1,4549,4621,1,0],[0,4566,4582,1,0],[0,4582,4598,1,0],[0,4600,4672,1,0],[1,4621,4693,1,0],[0,4673,4713,1,0],[1,4715,4787,1,0],[0,4725,4741,1,0],[0,4745,4785,1,0],[0,4785,4857,1,0],[1,4787,4859,1,0],[0,4857,4929,1,0],[1,4859,4931,1,0],[0,4929,5001,1,0],[1,4931,5003,1,0],[0,5001,5073,1,0],[1,5003,5075,1,0],[1,5075,5147,1,0],[0,5105,5177,1,0],[1,5147,5219,1,0],[0,5213,5253,1,0],[1,5219,5291,1,0],[0,5253,5269,1,0],[0,5269,5285,1,0],[0,5285,5301,1,0],[1,5291,5363,1,0],[0,5301,5373,1,0],[1,5363,5435,1,0],[0,5373,5445,1,0],[1,5435,5507,1,0],[0,5445,5485,1,0],[0,5503,5519,1,0],[1,5507,5579,1,0],[0,5519,5559,1,0],[0,5559,5631,1,0],[1,5595,5667,1,0],[0,5631,5703,1,0],[0,5703,5775,1,0],[1,5711,5783,1,0],[0,5775,5847,1,0],[1,5783,5855,1,0],[1,5855,5927,1,0],[0,5992,6064,1,0],[1,5999,6071,1,0],[0,6064,6136,1,0],[1,6071,6143,1,0],[0,6136,6208,1,0],[0,6353,6425,1,0],[0,6497,6569,1,0],[0,6713,6785,1,0]],[[0,12,84,1,0],[1,71,143,1,0],[0,112,184,1,0],[1,227,299,1,0],[0,262,334,1,0],[0,334,406,1,0],[1,363,435,1,0],[0,489,561,1,0],[1,491,563,1,0],[1,563,635,1,0],[1,661,733,1,0],[0,679,751,1,0],[1,733,805,1,0],[0,761,793,1,0],[1,805,877,1,0],[0,847,919,1,0],[1,883,955,1,0],[0,993,1065,1,0],[1,1011,1083,1,0],[1,1125,1197,1,0],[0,1137,1209,1,0],[1,1251,1323,1,0],[0,1281,1353,1,0],[1,1405,1477,1,0],[0,1447,1519,1,0],[1,1549,1621,1,0],[0,1577,1601,1,0],[0,1641,1673,1,0],[0,1681,1753,1,0],[1,1693,1765,1,0],[0,1767,1839,1,0],[1,1835,1907,1,0],[0,1889,1921,1,0],[1,1907,1979,1,0],[0,1921,1993,1,0],[1,1979,2051,1,0],[0,1993,2017,1,0],[0,2017,2089,1,0],[0,2089,2161,1,0],[1,2107,2179,1,0],[0,2161,2233,1,0],[1,2179,2251,1,0],[0,2239,2263,1,0],[0,2291,2363,1,0],[1,2307,2379,1,0],[0,2377,2449,1,0],[1,2397,2469,1,0],[0,2465,2537,1,0],[1,2469,2541,1,0],[1,2541,2613,1,0],[0,2544,2616,1,0],[1,2613,2685,1,0],[0,2647,2719,1,0],[1,2687,2759,1,0],[0,2719,2791,1,0],[0,2801,2873,1,0],[1,2811,2883,1,0],[1,2883,2955,1,0],[0,2887,2959,1,0],[1,2955,3027,1,0],[0,2991,3063,1,0],[1,3027,3099,1,0],[0,3065,3137,1,0],[1,3099,3171,1,0],[0,3137,3209,1,0],[1,3171,3243,1,0],[0,3231,3303,1,0],[1,3251,3323,1,0],[1,3323,3395,1,0],[0,3353,3425,1,0],[1,3395,3467,1,0],[0,3425,3449,1,0],[0,3449,3521,1,0],[1,3499,3571,1,0],[0,3569,3601,1,0],[1,3571,3643,1,0],[0,3601,3625,1,0],[1,3643,3715,1,0],[0,3655,3727,1,0],[1,3715,3787,1,0],[0,3727,3751,1,0],[0,3751,3823,1,0],[1,3787,3859,1,0],[0,3823,3895,1,0],[1,3867,3939,1,0],[0,3895,3967,1,0],[1,3939,4011,1,0],[0,3967,4039,1,0],[1,4011,4083,1,0],[0,4039,4111,1,0],[1,4083,4155,1,0],[0,4145,4217,1,0],[1,4155,4227,1,0],[0,4217,4289,1,0],[1,4237,4309,1,0],[0,4289,4361,1,0],[1,4309,4381,1,0],[0,4361,4433,1,0],[1,4381,4453,1,0],[1,4453,4525,1,0],[0,4456,4528,1,0],[1,4525,4597,1,0],[0,4528,4600,1,0],[0,4600,4672,1,0],[1,4604,4676,1,0],[1,4676,4748,1,0],[0,4679,4711,1,0],[0,4711,4783,1,0],[1,4758,4830,1,0],[0,4783,4855,1,0],[1,4830,4902,1,0],[0,4895,4919,1,0],[1,4905,4977,1,0],[0,4919,4991,1,0],[1,4977,5049,1,0],[0,4991,5063,1,0],[1,5059,5131,1,0],[0,5063,5135,1,0],[1,5131,5203,1,0],[0,5143,5215,1,0],[1,5204,5276,1,0],[0,5215,5287,1,0],[1,5278,5350,1,0],[0,5287,5359,1,0],[1,5350,5422,1,0],[0,5375,5447,1,0],[1,5427,5499,1,0],[0,5449,5521,1,0],[1,5499,5571,1,0],[0,5521,5593,1,0],[1,5595,5667,1,0],[0,5598,5670,1,0],[1,5667,5739,1,0],[0,5696,5720,1,0],[0,5735,5807,1,0],[1,5739,5811,1,0],[0,5807,5879,1,0],[1,5811,5883,1,0],[0,5879,5951,1,0],[1,5883,5955,1,0],[0,5951,6023,1,0],[1,5955,6027,1,0],[1,6027,6099,1,0],[0,6055,6127,1,0],[1,6113,6185,1,0],[0,6127,6199,1,0],[1,6185,6257,1,0],[0,6251,6323,1,0],[1,6257,6329,1,0],[0,6323,6395,1,0],[1,6329,6401,1,0],[1,6401,6473,1,0],[1,6473,6545,1,0],[0,6543,6575,1,0],[1,6545,6617,1,0],[0,6611,6635,1,0],[1,6617,6689,1,0],[0,6635,6659,1,0],[0,6659,6691,1,0],[1,6689,6761,1,0],[0,6731,6763,1,0],[1,6761,6833,1,0],[0,6803,6827,1,0],[0,6843,6875,1,0],[0,6923,6947,1,0],[0,6987,7019,1,0],[0,7067,7099,1,0],[0,7139,7171,1,0],[0,7259,7283,1,0],[0,7283,7307,1,0],[0,7347,7379,1,0],[0,7483,7515,1,0],[0,7547,7571,1,0],[0,7651,7683,1,0],[0,7755,7787,1,0],[0,8125,8149,1,0]],[[0,13,85,1,0],[1,71,143,1,0],[0,157,229,1,0],[1,200,272,1,0],[1,272,344,1,0],[0,301,373,1,0],[1,344,416,1,0],[1,416,488,1,0],[0,445,517,1,0],[1,533,605,1,0],[0,589,661,1,0],[1,632,704,1,0],[0,661,733,1,0],[1,704,776,1,0],[1,797,869,1,0],[0,812,884,1,0],[0,918,934,1,0],[1,920,992,1,0],[0,934,950,1,0],[0,956,1028,1,0],[1,1053,1125,1,0],[0,1093,1165,1,0],[1,1152,1224,1,0],[0,1197,1213,1,0],[1,1224,1296,1,0],[0,1228,1300,1,0],[1,1328,1400,1,0],[0,1331,1403,1,0],[0,1444,1516,1,0],[1,1453,1525,1,0],[1,1525,1597,1,0],[0,1558,1630,1,0],[1,1597,1669,1,0],[0,1644,1716,1,0],[1,1669,1741,1,0],[1,1741,1813,1,0],[0,1774,1846,1,0],[1,1813,1885,1,0],[0,1846,1862,1,0],[0,1862,1934,1,0],[1,1885,1957,1,0],[0,1950,2022,1,0],[1,1957,2029,1,0],[0,2078,2150,1,0],[1,2093,2165,1,0],[1,2165,2237,1,0],[0,2182,2254,1,0],[1,2237,2309,1,0],[0,2284,2356,1,0],[1,2309,2381,1,0],[0,2356,2428,1,0],[1,2381,2453,1,0],[1,2453,2525,1,0],[0,2500,2572,1,0],[1,2525,2597,1,0],[0,2574,2646,1,0],[1,2597,2669,1,0],[1,2669,2741,1,0],[0,2710,2750,1,0],[1,2741,2813,1,0],[0,2750,2822,1,0],[1,2813,2885,1,0],[0,2854,2894,1,0],[1,2886,2958,1,0],[0,2894,2966,1,0],[1,2958,3030,1,0],[0,3005,3077,1,0],[1,3030,3102,1,0],[1,3102,3174,1,0],[0,3114,3130,1,0],[0,3130,3170,1,0],[1,3174,3246,1,0],[0,3221,3293,1,0],[1,3246,3318,1,0],[0,3293,3365,1,0],[1,3318,3390,1,0],[0,3365,3437,1,0],[1,3390,3462,1,0],[0,3452,3492,1,0],[1,3462,3534,1,0],[0,3492,3532,1,0],[0,3532,3604,1,0],[1,3534,3606,1,0],[0,3604,3676,1,0],[1,3606,3678,1,0],[0,3676,3748,1,0],[1,3685,3757,1,0],[1,3759,3831,1,0],[0,3788,3828,1,0],[1,3831,3903,1,0],[0,3834,3906,1,0],[1,3903,3975,1,0],[0,3906,3978,1,0],[1,3975,4047,1,0],[0,3978,4050,1,0],[0,4050,4122,1,0],[1,4055,4127,1,0],[0,4122,4194,1,0],[1,4127,4199,1,0],[1,4199,4271,1,0],[0,4230,4270,1,0],[1,4271,4343,1,0],[0,4274,4290,1,0],[0,4290,4330,1,0],[0,4330,4346,1,0],[0,4346,4386,1,0],[1,4349,4421,1,0],[0,4386,4458,1,0],[1,4421,4493,1,0],[0,4458,4530,1,0],[1,4493,4565,1,0],[0,4530,4602,1,0],[1,4565,4637,1,0],[0,4602,4674,1,0],[1,4637,4709,1,0],[0,4678,4750,1,0],[1,4709,4781,1,0],[0,4766,4806,1,0],[1,4781,4853,1,0],[0,4806,4846,1,0],[0,4846,4918,1,0],[1,4853,4925,1,0],[0,4918,4990,1,0],[1,4933,5005,1,0],[0,4990,5062,1,0],[1,5005,5077,1,0],[0,5074,5090,1,0],[1,5079,5151,1,0],[0,5090,5106,1,0],[0,5134,5206,1,0],[1,5151,5223,1,0],[0,5206,5278,1,0],[1,5223,5295,1,0],[0,5278,5350,1,0],[1,5295,5367,1,0],[0,5360,5400,1,0],[1,5367,5439,1,0],[0,5400,5440,1,0],[0,5440,5512,1,0],[1,5465,5537,1,0],[0,5512,5584,1,0],[1,5538,5610,1,0],[1,5610,5682,1,0],[0,5626,5666,1,0],[0,5666,5738,1,0],[1,5682,5754,1,0],[0,5738,5810,1,0],[1,5754,5826,1,0],[0,5844,5884,1,0],[1,5853,5925,1,0],[0,5884,5900,1,0],[0,5900,5972,1,0],[1,5925,5997,1,0],[0,5972,6044,1,0],[1,5997,6069,1,0],[0,6044,6116,1,0],[1,6087,6159,1,0],[0,6116,6188,1,0],[1,6159,6231,1,0],[0,6206,6278,1,0],[1,6232,6304,1,0],[0,6278,6350,1,0],[1,6304,6376,1,0],[0,6422,6494,1,0],[0,6494,6566,1,0],[0,6638,6710,1,0],[0,6710,6782,1,0],[0,6782,6854,1,0],[0,6854,6926,1,0],[0,7358,7374,1,0],[0,7422,7438,1,0],[0,7550,7590,1,0],[0,7648,7664,1,0],[0,7808,7824,1,0],[0,7856,7872,1,0],[0,7920,7936,1,0]],[[0,11,83,1,0],[1,71,143,1,0],[0,115,187,1,0],[1,229,301,1,0],[0,261,333,1,0],[1,336,408,1,0],[0,423,495,1,0],[1,455,527,1,0],[1,527,599,1,0],[0,543,615,1,0],[1,656,728,1,0],[0,687,759,1,0],[1,799,871,1,0],[0,831,903,1,0],[1,896,968,1,0],[0,909,981,1,0],[1,1028,1100,1,0],[0,1062,1134,1,0],[1,1183,1255,1,0],[0,1209,1281,1,0],[1,1255,1327,1,0],[0,1286,1358,1,0],[1,1399,1471,1,0],[1,1471,1543,1,0],[0,1477,1501,1,0],[0,1501,1573,1,0],[1,1543,1615,1,0],[0,1574,1646,1,0],[1,1615,1687,1,0],[0,1732,1804,1,0],[1,1740,1812,1,0],[1,1812,1884,1,0],[0,1854,1926,1,0],[0,1926,1998,1,0],[1,1948,2020,1,0],[1,2020,2092,1,0],[0,2030,2062,1,0],[0,2062,2094,1,0],[1,2092,2164,1,0],[0,2123,2195,1,0],[0,2196,2268,1,0],[1,2220,2292,1,0],[0,2291,2363,1,0],[1,2295,2367,1,0],[1,2377,2449,1,0],[0,2395,2467,1,0],[1,2449,2521,1,0],[0,2483,2555,1,0],[1,2521,2593,1,0],[0,2555,2627,1,0],[1,2593,2665,1,0],[0,2643,2715,1,0],[1,2708,2780,1,0],[0,2731,2755,1,0],[0,2769,2841,1,0],[1,2780,2852,1,0],[0,2844,2916,1,0],[1,2852,2924,1,0],[0,2987,3059,1,0],[1,2989,3061,1,0],[1,3061,3133,1,0],[0,3075,3147,1,0],[1,3133,3205,1,0],[0,3172,3244,1,0],[1,3205,3277,1,0],[0,3244,3316,1,0],[1,3277,3349,1,0],[0,3316,3388,1,0],[1,3349,3421,1,0],[0,3408,3440,1,0],[0,3440,3512,1,0],[1,3477,3549,1,0],[0,3517,3541,1,0],[1,3549,3621,1,0],[0,3564,3636,1,0],[0,3636,3708,1,0],[1,3653,3725,1,0],[0,3708,3780,1,0],[1,3728,3800,1,0],[0,3780,3852,1,0],[1,3800,3872,1,0],[0,3880,3904,1,0],[1,3888,3960,1,0],[0,3904,3976,1,0],[1,3960,4032,1,0],[0,3976,4008,1,0],[0,4008,4032,1,0],[1,4032,4104,1,0],[0,4035,4059,1,0],[0,4059,4083,1,0],[0,4083,4107,1,0],[1,4104,4176,1,0],[0,4128,4160,1,0],[0,4160,4232,1,0],[1,4176,4248,1,0],[0,4232,4304,1,0],[1,4248,4320,1,0],[0,4304,4376,1,0],[1,4320,4392,1,0],[0,4376,4400,1,0],[1,4397,4469,1,0],[0,4400,4432,1,0],[0,4441,4513,1,0],[1,4469,4541,1,0],[0,4521,4593,1,0],[1,4541,4613,1,0],[0,4593,4665,1,0],[1,4613,4685,1,0],[0,4665,4737,1,0],[1,4685,4757,1,0],[1,4757,4829,1,0],[0,4760,4784,1,0],[0,4784,4856,1,0],[1,4829,4901,1,0],[0,4856,4880,1,0],[0,4881,4953,1,0],[1,4901,4973,1,0],[0,4971,5043,1,0],[1,4973,5045,1,0],[0,5043,5115,1,0],[1,5045,5117,1,0],[0,5115,5187,1,0],[1,5117,5189,1,0],[0,5187,5259,1,0],[1,5189,5261,1,0],[0,5259,5331,1,0],[1,5261,5333,1,0],[0,5331,5403,1,0],[1,5333,5405,1,0],[1,5405,5477,1,0],[0,5433,5457,1,0],[0,5457,5529,1,0],[1,5491,5563,1,0],[1,5563,5635,1,0],[0,5577,5649,1,0],[1,5635,5707,1,0],[0,5649,5681,1,0],[0,5682,5754,1,0],[1,5707,5779,1,0],[0,5754,5778,1,0],[0,5778,5802,1,0],[0,5802,5826,1,0],[1,5812,5884,1,0],[0,5826,5898,1,0],[1,5884,5956,1,0],[0,5898,5970,1,0],[1,5956,6028,1,0],[0,5970,6042,1,0],[0,6042,6114,1,0],[1,6052,6124,1,0],[0,6114,6186,1,0],[1,6124,6196,1,0],[1,6196,6268,1,0],[0,6261,6285,1,0],[1,6280,6352,1,0],[0,6334,6406,1,0],[1,6377,6449,1,0],[0,6407,6439,1,0],[0,6479,6511,1,0],[1,6482,6554,1,0],[0,6511,6543,1,0],[1,6554,6626,1,0],[0,6623,6655,1,0],[1,6626,6698,1,0],[0,6655,6687,1,0],[1,6698,6770,1,0],[0,6709,6781,1,0],[1,6770,6842,1,0],[1,6842,6914,1,0],[0,6925,6997,1,0],[0,7141,7213,1,0],[0,7375,7407,1,0],[0,7407,7439,1,0],[0,7551,7583,1,0],[0,7645,7717,1,0],[0,8207,8239,1,0]],[[0,44,116,1,0],[1,71,143,1,0],[0,170,242,1,0],[1,195,267,1,0],[1,267,339,1,0],[0,295,367,1,0],[1,339,411,1,0],[0,396,420,1,0],[1,411,483,1,0],[0,439,511,1,0],[1,486,558,1,0],[0,546,618,1,0],[1,558,630,1,0],[0,619,691,1,0],[1,662,734,1,0],[1,734,806,1,0],[0,761,833,1,0],[1,838,910,1,0],[0,852,876,1,0],[1,910,982,1,0],[0,957,981,1,0],[1,982,1054,1,0],[0,985,1057,1,0],[1,1054,1126,1,0],[0,1084,1156,1,0],[1,1174,1246,1,0],[0,1250,1322,1,0],[1,1302,1374,1,0],[1,1374,1446,1,0],[0,1413,1437,1,0],[0,1437,1509,1,0],[1,1494,1566,1,0],[1,1566,1638,1,0],[0,1581,1653,1,0],[1,1638,1710,1,0],[0,1690,1762,1,0],[1,1742,1814,1,0],[0,1796,1868,1,0],[1,1838,1910,1,0],[1,1910,1982,1,0],[0,1914,1986,1,0],[1,1982,2054,1,0],[0,1986,2058,1,0],[0,2085,2117,1,0],[1,2086,2158,1,0],[0,2117,2189,1,0],[1,2158,2230,1,0],[0,2189,2261,1,0],[1,2230,2302,1,0],[0,2276,2308,1,0],[1,2302,2374,1,0],[0,2308,2340,1,0],[0,2340,2372,1,0],[1,2374,2446,1,0],[0,2402,2474,1,0],[1,2446,2518,1,0],[0,2484,2508,1,0],[0,2508,2540,1,0],[1,2518,2590,1,0],[0,2540,2564,1,0],[0,2564,2636,1,0],[1,2590,2662,1,0],[0,2652,2676,1,0],[1,2662,2734,1,0],[0,2679,2711,1,0],[0,2711,2783,1,0],[1,2774,2846,1,0],[1,2846,2918,1,0],[0,2852,2924,1,0],[1,2918,2990,1,0],[0,2924,2948,1,0],[0,2948,3020,1,0],[1,2990,3062,1,0],[0,3020,3092,1,0],[1,3094,3166,1,0],[0,3124,3196,1,0],[1,3166,3238,1,0],[0,3236,3308,1,0],[1,3238,3310,1,0],[0,3308,3380,1,0],[1,3310,3382,1,0],[1,3382,3454,1,0],[0,3412,3484,1,0],[1,3454,3526,1,0],[0,3484,3556,1,0],[1,3526,3598,1,0],[0,3565,3637,1,0],[1,3598,3670,1,0],[0,3667,3691,1,0],[1,3670,3742,1,0],[0,3715,3787,1,0],[1,3742,3814,1,0],[0,3787,3859,1,0],[1,3814,3886,1,0],[0,3859,3931,1,0],[1,3895,3967,1,0],[0,3931,4003,1,0],[1,3967,4039,1,0],[0,4003,4075,1,0],[1,4039,4111,1,0],[0,4093,4117,1,0],[1,4111,4183,1,0],[0,4139,4211,1,0],[1,4183,4255,1,0],[0,4235,4307,1,0],[1,4255,4327,1,0],[0,4307,4331,1,0],[1,4327,4399,1,0],[0,4331,4403,1,0],[1,4399,4471,1,0],[0,4403,4427,1,0],[0,4429,4501,1,0],[1,4471,4543,1,0],[0,4501,4573,1,0],[1,4543,4615,1,0],[0,4573,4645,1,0],[1,4621,4693,1,0],[0,4645,4717,1,0],[1,4693,4765,1,0],[0,4717,4789,1,0],[1,4765,4837,1,0],[0,4810,4834,1,0],[0,4834,4906,1,0],[1,4837,4909,1,0],[0,4906,4978,1,0],[1,4909,4981,1,0],[1,4981,5053,1,0],[0,5004,5028,1,0],[0,5028,5052,1,0],[1,5053,5125,1,0],[0,5057,5129,1,0],[1,5125,5197,1,0],[0,5130,5202,1,0],[1,5197,5269,1,0],[0,5202,5274,1,0],[1,5275,5347,1,0],[0,5278,5310,1,0],[0,5316,5388,1,0],[1,5347,5419,1,0],[0,5388,5460,1,0],[1,5419,5491,1,0],[0,5460,5532,1,0],[1,5491,5563,1,0],[0,5532,5604,1,0],[1,5563,5635,1,0],[1,5635,5707,1,0],[0,5638,5710,1,0],[1,5707,5779,1,0],[0,5710,5782,1,0],[0,5782,5854,1,0],[1,5814,5886,1,0],[0,5854,5926,1,0],[1,5886,5958,1,0],[0,5926,5998,1,0],[1,5968,6040,1,0],[1,6040,6112,1,0],[0,6043,6075,1,0],[0,6075,6147,1,0],[1,6112,6184,1,0],[0,6147,6219,1,0],[1,6184,6256,1,0],[0,6219,6291,1,0],[1,6318,6390,1,0],[0,6371,6443,1,0],[0,6526,6550,1,0],[0,6598,6670,1,0],[0,6742,6814,1,0],[0,6886,6958,1,0],[0,7099,7131,1,0],[0,7195,7227,1,0],[0,7331,7363,1,0],[0,7435,7467,1,0],[0,7467,7499,1,0],[0,7683,7715,1,0],[0,7835,7867,1,0],[0,7987,8019,1,0]],[[0,19,91,1,0],[1,71,143,1,0],[0,91,163,1,0],[1,143,215,1,0],[0,163,235,1,0],[0,235,267,1,0],[1,256,328,1,0],[0,269,341,1,0],[1,335,407,1,0],[0,341,413,1,0],[1,407,479,1,0],[0,413,485,1,0],[0,485,517,1,0],[0,517,589,1,0],[1,520,592,1,0],[0,589,661,1,0],[1,592,664,1,0],[0,661,693,1,0],[1,664,736,1,0],[0,693,765,1,0],[1,736,808,1,0],[0,765,837,1,0],[1,808,880,1,0],[0,837,909,1,0],[1,880,952,1,0],[0,909,933,1,0],[0,933,1005,1,0],[1,969,1041,1,0],[0,1005,1077,1,0],[1,1041,1113,1,0],[0,1077,1109,1,0],[0,1109,1181,1,0],[1,1113,1185,1,0],[0,1181,1205,1,0],[0,1205,1277,1,0],[1,1209,1281,1,0],[0,1277,1349,1,0],[1,1281,1353,1,0],[0,1349,1373,1,0],[1,1354,1426,1,0],[0,1373,1445,1,0],[1,1427,1499,1,0],[0,1445,1517,1,0],[1,1499,1571,1,0],[0,1517,1549,1,0],[0,1549,1621,1,0],[1,1571,1643,1,0],[0,1621,1693,1,0],[0,1693,1717,1,0],[1,1696,1768,1,0],[0,1717,1789,1,0],[1,1768,1840,1,0],[0,1789,1821,1,0],[0,1821,1893,1,0],[1,1840,1912,1,0],[0,1893,1965,1,0],[1,1912,1984,1,0],[0,1965,1997,1,0],[0,1997,2069,1,0],[1,2001,2073,1,0],[0,2069,2101,1,0],[1,2073,2145,1,0],[0,2101,2173,1,0],[1,2145,2217,1,0],[0,2173,2245,1,0],[0,2245,2269,1,0],[1,2248,2320,1,0],[0,2269,2341,1,0],[0,2341,2373,1,0],[1,2368,2440,1,0],[0,2373,2445,1,0],[1,2440,2512,1,0],[0,2445,2517,1,0],[1,2512,2584,1,0],[0,2517,2589,1,0],[0,2589,2661,1,0],[1,2632,2704,1,0],[0,2661,2693,1,0],[0,2693,2765,1,0],[1,2752,2824,1,0],[0,2765,2837,1,0],[1,2824,2896,1,0],[0,2837,2861,1,0],[0,2861,2933,1,0],[1,2896,2968,1,0],[0,2933,3005,1,0],[0,3005,3037,1,0],[1,3016,3088,1,0],[0,3037,3061,1,0],[0,3061,3133,1,0],[1,3088,3160,1,0],[0,3133,3205,1,0],[1,3160,3232,1,0],[0,3205,3277,1,0],[1,3232,3304,1,0],[0,3277,3301,1,0],[0,3301,3373,1,0],[1,3352,3424,1,0],[0,3373,3397,1,0],[0,3397,3469,1,0],[1,3424,3496,1,0],[0,3469,3501,1,0],[0,3501,3573,1,0],[1,3505,3577,1,0],[0,3573,3645,1,0],[1,3577,3649,1,0],[0,3645,3717,1,0],[1,3657,3729,1,0],[0,3717,3789,1,0],[1,3737,3809,1,0],[0,3789,3861,1,0],[1,3809,3881,1,0],[0,3861,3933,1,0],[1,3881,3953,1,0],[0,3933,3957,1,0],[0,3957,4029,1,0],[1,3961,4033,1,0],[0,4029,4101,1,0],[1,4037,4109,1,0],[0,4101,4173,1,0],[1,4109,4181,1,0],[0,4173,4205,1,0],[1,4181,4253,1,0],[0,4223,4295,1,0],[1,4265,4337,1,0],[0,4295,4367,1,0],[1,4341,4413,1,0],[0,4371,4395,1,0],[0,4395,4467,1,0],[1,4413,4485,1,0],[0,4467,4539,1,0],[1,4485,4557,1,0],[0,4555,4587,1,0],[1,4557,4629,1,0],[0,4587,4659,1,0],[1,4629,4701,1,0],[0,4659,4731,1,0],[1,4701,4773,1,0],[0,4731,4803,1,0],[1,4773,4845,1,0],[0,4803,4875,1,0],[1,4845,4917,1,0],[0,4875,4899,1,0],[0,4905,4977,1,0],[1,4917,4989,1,0],[0,4977,5049,1,0],[1,4989,5061,1,0],[1,5061,5133,1,0],[0,5075,5107,1,0],[0,5107,5131,1,0],[1,5134,5206,1,0],[0,5141,5213,1,0],[1,5206,5278,1,0],[0,5213,5285,1,0],[1,5279,5351,1,0],[0,5285,5309,1,0],[0,5316,5348,1,0],[1,5351,5423,1,0],[0,5357,5429,1,0],[1,5423,5495,1,0],[0,5453,5525,1,0],[1,5495,5567,1,0],[0,5525,5597,1,0],[1,5567,5639,1,0],[0,5597,5669,1,0],[1,5639,5711,1,0],[0,5669,5741,1,0],[1,5711,5783,1,0],[0,5750,5822,1,0],[1,5783,5855,1,0],[0,5822,5894,1,0],[1,5855,5927,1,0],[1,5927,5999,1,0],[0,5933,5957,1,0],[0,5957,5981,1,0],[0,5981,6053,1,0],[1,5999,6071,1,0],[0,6053,6125,1,0],[1,6071,6143,1,0],[0,6125,6197,1,0],[1,6143,6215,1,0],[0,6197,6269,1,0],[1,6215,6287,1,0],[0,6269,6341,1,0],[1,6287,6359,1,0],[0,6341,6413,1,0],[1,6359,6431,1,0],[0,6413,6485,1,0],[1,6431,6503,1,0],[1,6503,6575,1,0],[0,6506,6578,1,0],[1,6575,6647,1,0],[1,6647,6719,1,0],[0,6650,6722,1,0],[1,6719,6791,1,0],[1,6791,6863,1,0],[1,6863,6935,1,0],[1,6935,7007,1,0],[1,7007,7079,1,0],[1,7079,7151,1,0],[1,7151,7223,1,0],[1,7223,7295,1,0],[0,7289,7361,1,0],[1,7295,7367,1,0],[1,7367,7439,1,0],[1,7439,7511,1,0],[0,7577,7649,1,0],[0,7793,7865,1,0]],[[0,47,119,1,0],[1,71,143,1,0],[0,169,241,1,0],[1,195,267,1,0],[0,313,385,1,0],[1,314,386,1,0],[0,408,440,1,0],[1,443,515,1,0],[0,479,551,1,0],[1,554,626,1,0],[0,618,690,1,0],[1,658,730,1,0],[0,690,762,1,0],[1,763,835,1,0],[1,835,907,1,0],[0,857,929,1,0],[1,907,979,1,0],[0,960,1032,1,0],[1,1011,1083,1,0],[0,1062,1086,1,0],[1,1083,1155,1,0],[0,1129,1201,1,0],[1,1155,1227,1,0],[0,1201,1273,1,0],[1,1266,1338,1,0],[0,1290,1362,1,0],[1,1403,1475,1,0],[0,1434,1506,1,0],[1,1492,1564,1,0],[0,1523,1595,1,0],[1,1564,1636,1,0],[0,1612,1684,1,0],[1,1653,1725,1,0],[1,1725,1797,1,0],[0,1756,1828,1,0],[1,1829,1901,1,0],[0,1865,1937,1,0],[1,1901,1973,1,0],[0,1968,2000,1,0],[1,1980,2052,1,0],[0,2011,2083,1,0],[1,2052,2124,1,0],[1,2124,2196,1,0],[0,2155,2227,1,0],[1,2228,2300,1,0],[0,2231,2303,1,0],[1,2300,2372,1,0],[0,2331,2403,1,0],[1,2404,2476,1,0],[0,2407,2479,1,0],[1,2476,2548,1,0],[0,2507,2579,1,0],[1,2548,2620,1,0],[0,2579,2651,1,0],[1,2620,2692,1,0],[0,2664,2736,1,0],[1,2692,2764,1,0],[0,2753,2785,1,0],[1,2764,2836,1,0],[0,2785,2817,1,0],[0,2817,2889,1,0],[1,2836,2908,1,0],[1,2924,2996,1,0],[0,2942,3014,1,0],[1,2996,3068,1,0],[0,3014,3086,1,0],[1,3068,3140,1,0],[0,3114,3186,1,0],[1,3141,3213,1,0],[0,3186,3258,1,0],[1,3233,3305,1,0],[0,3258,3330,1,0],[1,3305,3377,1,0],[0,3349,3373,1,0],[1,3387,3459,1,0],[0,3406,3478,1,0],[1,3459,3531,1,0],[0,3499,3571,1,0],[1,3531,3603,1,0],[0,3595,3667,1,0],[1,3603,3675,1,0],[0,3667,3691,1,0],[1,3680,3752,1,0],[0,3691,3763,1,0],[1,3752,3824,1,0],[0,3781,3805,1,0],[0,3805,3829,1,0],[1,3824,3896,1,0],[0,3833,3905,1,0],[1,3902,3974,1,0],[0,3905,3929,1,0],[0,3956,3980,1,0],[0,3980,4052,1,0],[1,4004,4076,1,0],[0,4053,4077,1,0],[1,4076,4148,1,0],[0,4079,4151,1,0],[1,4148,4220,1,0],[0,4153,4177,1,0],[0,4177,4201,1,0],[0,4201,4225,1,0],[1,4220,4292,1,0],[0,4225,4249,1,0],[0,4249,4273,1,0],[0,4273,4297,1,0],[1,4292,4364,1,0],[0,4297,4321,1,0],[0,4321,4345,1,0],[0,4345,4417,1,0],[1,4364,4436,1,0],[1,4436,4508,1,0],[0,4443,4515,1,0],[1,4510,4582,1,0],[0,4515,4587,1,0],[1,4582,4654,1,0],[0,4587,4659,1,0],[1,4654,4726,1,0],[0,4684,4716,1,0],[0,4716,4788,1,0],[1,4726,4798,1,0],[0,4788,4860,1,0],[1,4798,4870,1,0],[0,4860,4932,1,0],[1,4870,4942,1,0],[0,4932,5004,1,0],[1,4942,5014,1,0],[0,5004,5076,1,0],[1,5014,5086,1,0],[0,5076,5148,1,0],[1,5086,5158,1,0],[1,5158,5230,1,0],[0,5163,5235,1,0],[1,5230,5302,1,0],[0,5235,5307,1,0],[1,5302,5374,1,0],[0,5324,5396,1,0],[1,5374,5446,1,0],[0,5403,5475,1,0],[1,5446,5518,1,0],[0,5477,5509,1,0],[1,5524,5596,1,0],[0,5527,5599,1,0],[1,5596,5668,1,0],[0,5627,5699,1,0],[1,5668,5740,1,0],[0,5699,5771,1,0],[1,5741,5813,1,0],[0,5771,5843,1,0],[1,5813,5885,1,0],[0,5843,5915,1,0],[1,5885,5957,1,0],[1,5957,6029,1,0],[0,5960,6032,1,0],[1,6029,6101,1,0],[0,6032,6064,1,0],[0,6064,6136,1,0],[1,6101,6173,1,0],[0,6171,6203,1,0],[1,6173,6245,1,0],[0,6203,6235,1,0],[0,6235,6267,1,0],[1,6245,6317,1,0],[0,6267,6299,1,0],[1,6323,6395,1,0],[0,6339,6371,1,0],[0,6371,6443,1,0],[1,6421,6493,1,0],[0,6443,6515,1,0],[0,6651,6683,1,0],[0,6715,6747,1,0],[0,6803,6875,1,0],[0,6947,7019,1,0],[0,7235,7267,1,0],[0,7267,7339,1,0],[0,7483,7555,1,0],[0,8155,8187,1,0]],[[0,20,92,1,0],[1,71,143,1,0],[0,92,164,1,0],[1,143,215,1,0],[0,164,196,1,0],[0,196,268,1,0],[1,216,288,1,0],[0,268,292,1,0],[0,292,364,1,0],[1,330,402,1,0],[0,364,396,1,0],[0,396,468,1,0],[1,402,474,1,0],[0,468,540,1,0],[1,522,594,1,0],[0,540,564,1,0],[0,564,636,1,0],[1,599,671,1,0],[0,636,708,1,0],[1,671,743,1,0],[0,708,732,1,0],[0,732,764,1,0],[1,751,823,1,0],[0,764,836,1,0],[0,836,860,1,0],[1,847,919,1,0],[0,860,932,1,0],[0,932,964,1,0],[1,954,1026,1,0],[0,964,1036,1,0],[0,1036,1108,1,0],[1,1074,1146,1,0],[0,1108,1180,1,0],[1,1176,1248,1,0],[0,1180,1212,1,0],[0,1212,1284,1,0],[1,1267,1339,1,0],[0,1284,1308,1,0],[0,1308,1380,1,0],[1,1339,1411,1,0],[0,1380,1452,1,0],[1,1411,1483,1,0],[0,1452,1524,1,0],[1,1483,1555,1,0],[0,1524,1556,1,0],[1,1555,1627,1,0],[0,1558,1630,1,0],[0,1630,1702,1,0],[1,1675,1747,1,0],[0,1702,1726,1,0],[0,1726,1798,1,0],[1,1760,1832,1,0],[0,1798,1830,1,0],[0,1830,1902,1,0],[1,1832,1904,1,0],[0,1902,1934,1,0],[0,1934,2006,1,0],[1,1940,2012,1,0],[0,2006,2078,1,0],[1,2012,2084,1,0],[0,2078,2150,1,0],[1,2132,2204,1,0],[0,2150,2174,1,0],[0,2174,2246,1,0],[1,2234,2306,1,0],[0,2246,2278,1,0],[0,2278,2350,1,0],[1,2306,2378,1,0],[0,2350,2422,1,0],[1,2378,2450,1,0],[0,2422,2454,1,0],[1,2450,2522,1,0],[0,2456,2528,1,0],[1,2522,2594,1,0],[0,2528,2600,1,0],[0,2600,2632,1,0],[1,2626,2698,1,0],[0,2632,2704,1,0],[1,2698,2770,1,0],[0,2704,2728,1,0],[0,2728,2800,1,0],[1,2770,2842,1,0],[0,2800,2872,1,0],[1,2842,2914,1,0],[0,2872,2944,1,0],[1,2938,3010,1,0],[0,2944,2968,1,0],[0,2968,3000,1,0],[0,3000,3072,1,0],[1,3010,3082,1,0],[0,3072,3144,1,0],[1,3082,3154,1,0],[0,3144,3216,1,0],[1,3154,3226,1,0],[0,3216,3240,1,0],[1,3235,3307,1,0],[0,3240,3272,1,0],[0,3272,3344,1,0],[1,3307,3379,1,0],[0,3344,3416,1,0],[1,3379,3451,1,0],[0,3416,3488,1,0],[1,3451,3523,1,0],[0,3488,3560,1,0],[0,3560,3592,1,0],[1,3573,3645,1,0],[0,3592,3616,1,0],[0,3616,3688,1,0],[1,3645,3717,1,0],[0,3688,3760,1,0],[1,3717,3789,1,0],[0,3760,3784,1,0],[0,3784,3856,1,0],[1,3789,3861,1,0],[0,3856,3928,1,0],[1,3861,3933,1,0],[0,3928,3952,1,0],[1,3933,4005,1,0],[0,3952,4024,1,0],[1,4005,4077,1,0],[0,4024,4096,1,0],[1,4077,4149,1,0],[0,4096,4128,1,0],[0,4128,4152,1,0],[1,4149,4221,1,0],[0,4152,4176,1,0],[0,4176,4200,1,0],[0,4208,4280,1,0],[1,4221,4293,1,0],[0,4280,4352,1,0],[1,4293,4365,1,0],[0,4352,4424,1,0],[1,4365,4437,1,0],[0,4432,4504,1,0],[1,4437,4509,1,0],[0,4504,4576,1,0],[1,4509,4581,1,0],[1,4581,4653,1,0],[0,4592,4664,1,0],[1,4653,4725,1,0],[0,4690,4762,1,0],[1,4755,4827,1,0],[0,4772,4804,1,0],[0,4804,4876,1,0],[1,4829,4901,1,0],[0,4876,4948,1,0],[1,4903,4975,1,0],[0,4954,5026,1,0],[1,4975,5047,1,0],[0,5026,5098,1,0],[1,5047,5119,1,0],[1,5119,5191,1,0],[0,5170,5242,1,0],[1,5195,5267,1,0],[0,5242,5314,1,0],[1,5267,5339,1,0],[0,5326,5398,1,0],[1,5364,5436,1,0],[0,5398,5470,1,0],[1,5436,5508,1,0],[0,5470,5542,1,0],[1,5508,5580,1,0],[0,5542,5614,1,0],[1,5580,5652,1,0],[0,5614,5686,1,0],[1,5652,5724,1,0],[0,5686,5758,1,0],[1,5724,5796,1,0],[0,5758,5830,1,0],[1,5796,5868,1,0],[0,5857,5929,1,0],[1,5868,5940,1,0],[0,5929,6001,1,0],[1,5940,6012,1,0],[0,6006,6078,1,0],[1,6032,6104,1,0],[0,6078,6150,1,0],[1,6104,6176,1,0],[0,6150,6222,1,0],[1,6176,6248,1,0],[0,6222,6294,1,0],[1,6272,6344,1,0],[0,6294,6366,1,0],[0,6366,6438,1,0],[1,6368,6440,1,0],[1,6440,6512,1,0],[0,6510,6582,1,0],[1,6512,6584,1,0],[0,6582,6654,1,0],[1,6584,6656,1,0],[0,6654,6726,1,0],[1,6656,6728,1,0],[0,6726,6798,1,0],[1,6728,6800,1,0],[0,6798,6870,1,0],[1,6800,6872,1,0],[0,6870,6942,1,0],[1,6872,6944,1,0],[1,6944,7016,1,0],[1,7016,7088,1,0],[1,7088,7160,1,0],[1,7160,7232,1,0],[1,7232,7304,1,0],[1,7304,7376,1,0],[1,7376,7448,1,0],[1,7448,7520,1,0],[1,7520,7592,1,0],[1,7592,7664,1,0]],[[0,10,82,1,0],[1,71,143,1,0],[0,116,188,1,0],[1,143,215,1,0],[1,215,287,1,0],[0,234,306,1,0],[1,287,359,1,0],[1,359,431,1,0],[0,364,436,1,0],[0,436,508,1,0],[1,476,548,1,0],[0,508,580,1,0],[1,580,652,1,0],[0,617,625,1,0],[1,652,724,1,0],[0,657,665,1,0],[0,700,772,1,0],[1,724,796,1,0],[0,772,780,1,0],[0,780,852,1,0],[1,796,868,1,0],[0,852,924,1,0],[1,868,940,1,0],[1,956,1028,1,0],[0,996,1068,1,0],[1,1076,1148,1,0],[0,1082,1154,1,0],[1,1174,1246,1,0],[0,1222,1294,1,0],[1,1268,1340,1,0],[0,1298,1370,1,0],[1,1366,1438,1,0],[0,1442,1514,1,0],[1,1484,1556,1,0],[0,1514,1586,1,0],[1,1582,1654,1,0],[0,1590,1598,1,0],[0,1606,1614,1,0],[0,1662,1734,1,0],[1,1702,1774,1,0],[0,1748,1820,1,0],[1,1774,1846,1,0],[1,1846,1918,1,0],[0,1878,1950,1,0],[1,1918,1990,1,0],[0,1950,2022,1,0],[1,1990,2062,1,0],[0,2070,2142,1,0],[1,2110,2182,1,0],[1,2187,2259,1,0],[0,2194,2266,1,0],[1,2259,2331,1,0],[0,2266,2338,1,0],[1,2358,2430,1,0],[0,2396,2468,1,0],[1,2446,2518,1,0],[0,2469,2477,1,0],[0,2477,2549,1,0],[1,2550,2622,1,0],[0,2578,2650,1,0],[1,2622,2694,1,0],[0,2650,2722,1,0],[1,2726,2798,1,0],[1,2798,2870,1,0],[0,2810,2882,1,0],[1,2870,2942,1,0],[0,2883,2891,1,0],[0,2892,2964,1,0],[1,2942,3014,1,0],[0,2979,3051,1,0],[1,3019,3091,1,0],[0,3051,3059,1,0],[0,3059,3067,1,0],[0,3067,3075,1,0],[0,3075,3083,1,0],[1,3091,3163,1,0],[0,3123,3195,1,0],[1,3173,3245,1,0],[0,3204,3212,1,0],[0,3212,3220,1,0],[1,3246,3318,1,0],[0,3250,3322,1,0],[1,3322,3394,1,0],[0,3330,3402,1,0],[1,3394,3466,1,0],[0,3403,3411,1,0],[0,3411,3483,1,0],[1,3466,3538,1,0],[0,3499,3507,1,0],[0,3507,3515,1,0],[1,3538,3610,1,0],[0,3558,3630,1,0],[1,3610,3682,1,0],[0,3630,3702,1,0],[1,3682,3754,1,0],[0,3710,3782,1,0],[1,3754,3826,1,0],[0,3782,3854,1,0],[1,3826,3898,1,0],[1,3898,3970,1,0],[0,3901,3973,1,0],[1,3970,4042,1,0],[0,4000,4048,1,0],[1,4042,4114,1,0],[0,4048,4120,1,0],[1,4114,4186,1,0],[0,4120,4192,1,0],[1,4188,4260,1,0],[0,4192,4264,1,0],[1,4276,4348,1,0],[0,4332,4380,1,0],[1,4348,4420,1,0],[0,4380,4452,1,0],[1,4420,4492,1,0],[0,4452,4524,1,0],[1,4492,4564,1,0],[0,4524,4596,1,0],[1,4564,4636,1,0],[0,4596,4668,1,0],[1,4638,4710,1,0],[0,4668,4716,1,0],[1,4710,4782,1,0],[0,4716,4764,1,0],[0,4764,4836,1,0],[1,4782,4854,1,0],[0,4836,4908,1,0],[1,4854,4926,1,0],[0,4908,4980,1,0],[1,4926,4998,1,0],[0,4980,5052,1,0],[1,4998,5070,1,0],[0,5052,5124,1,0],[1,5100,5172,1,0],[0,5180,5228,1,0],[1,5220,5292,1,0],[0,5228,5300,1,0],[1,5292,5364,1,0],[0,5316,5388,1,0],[1,5364,5436,1,0],[0,5388,5436,1,0],[0,5436,5484,1,0],[1,5456,5528,1,0],[0,5484,5532,1,0],[1,5528,5600,1,0],[0,5532,5604,1,0],[1,5600,5672,1,0],[0,5630,5678,1,0],[1,5672,5744,1,0],[0,5678,5750,1,0],[1,5744,5816,1,0],[0,5774,5822,1,0],[1,5816,5888,1,0],[0,5822,5894,1,0],[0,5894,5966,1,0],[1,5911,5983,1,0],[0,5966,6038,1,0],[1,5985,6057,1,0],[0,6038,6110,1,0],[1,6057,6129,1,0],[0,6110,6182,1,0],[1,6129,6201,1,0],[0,6182,6254,1,0],[1,6201,6273,1,0],[0,6254,6326,1,0],[1,6273,6345,1,0],[0,6326,6398,1,0],[1,6345,6417,1,0],[1,6417,6489,1,0],[0,6543,6615,1,0],[0,6687,6759,1,0],[0,6927,6975,1,0],[0,7071,7119,1,0],[0,7215,7263,1,0],[0,7359,7407,1,0],[0,7599,7647,1,0],[0,7791,7839,1,0]],[[1,71,135,1,0],[1,135,199,1,0],[1,199,263,1,0],[0,261,333,1,0],[1,272,336,1,0],[1,336,400,1,0],[1,422,430,1,0],[0,451,523,1,0],[1,464,528,1,0],[0,523,571,1,0],[1,550,558,1,0],[0,578,650,1,0],[1,592,656,1,0],[0,650,698,1,0],[1,679,743,1,0],[0,698,770,1,0],[1,751,815,1,0],[0,770,842,1,0],[1,815,879,1,0],[0,842,914,1,0],[1,879,943,1,0],[0,914,986,1,0],[1,951,1015,1,0],[0,1005,1077,1,0],[1,1015,1079,1,0],[0,1077,1149,1,0],[1,1119,1127,1,0],[0,1149,1221,1,0],[1,1162,1226,1,0],[0,1221,1293,1,0],[1,1264,1272,1,0],[1,1272,1336,1,0],[0,1317,1389,1,0],[1,1367,1375,1,0],[1,1375,1439,1,0],[0,1418,1490,1,0],[1,1439,1447,1,0],[1,1447,1455,1,0],[1,1455,1519,1,0],[1,1519,1583,1,0],[0,1535,1607,1,0],[1,1585,1593,1,0],[1,1593,1601,1,0],[1,1601,1609,1,0],[1,1609,1617,1,0],[1,1617,1625,1,0],[0,1621,1693,1,0],[1,1625,1633,1,0],[1,1633,1641,1,0],[1,1641,1705,1,0],[1,1705,1713,1,0],[1,1713,1721,1,0],[1,1721,1785,1,0],[0,1749,1821,1,0],[1,1785,1793,1,0],[1,1793,1801,1,0],[1,1801,1865,1,0],[0,1825,1897,1,0],[1,1877,1885,1,0],[1,1885,1893,1,0],[1,1893,1957,1,0],[0,1917,1965,1,0],[1,1957,2021,1,0],[0,1965,2037,1,0],[1,2021,2085,1,0],[0,2037,2109,1,0],[1,2085,2093,1,0],[1,2093,2101,1,0],[1,2101,2109,1,0],[1,2109,2117,1,0],[0,2115,2187,1,0],[1,2117,2125,1,0],[1,2125,2189,1,0],[1,2189,2197,1,0],[1,2197,2205,1,0],[1,2205,2213,1,0],[1,2213,2221,1,0],[1,2221,2229,1,0],[1,2229,2293,1,0],[0,2235,2307,1,0],[1,2293,2301,1,0],[1,2301,2309,1,0],[0,2307,2379,1,0],[1,2309,2317,1,0],[1,2317,2325,1,0],[1,2325,2333,1,0],[1,2333,2341,1,0],[1,2341,2349,1,0],[1,2349,2357,1,0],[1,2357,2365,1,0],[1,2365,2373,1,0],[1,2373,2381,1,0],[1,2381,2445,1,0],[0,2382,2430,1,0],[0,2451,2523,1,0],[1,2454,2462,1,0],[1,2462,2526,1,0],[1,2526,2534,1,0],[0,2527,2575,1,0],[1,2534,2542,1,0],[1,2542,2606,1,0],[0,2575,2647,1,0],[1,2610,2618,1,0],[1,2618,2626,1,0],[1,2626,2634,1,0],[1,2634,2642,1,0],[1,2644,2652,1,0],[0,2647,2719,1,0],[1,2652,2660,1,0],[1,2660,2668,1,0],[1,2668,2676,1,0],[1,2676,2684,1,0],[1,2684,2692,1,0],[1,2692,2700,1,0],[0,2719,2791,1,0],[1,2724,2732,1,0],[1,2732,2796,1,0],[1,2796,2860,1,0],[0,2811,2883,1,0],[1,2868,2876,1,0],[1,2876,2884,1,0],[1,2884,2892,1,0],[1,2892,2900,1,0],[0,2898,2970,1,0],[1,2900,2908,1,0],[1,2908,2916,1,0],[1,2916,2924,1,0],[1,2932,2996,1,0],[0,2978,3050,1,0],[1,3009,3017,1,0],[1,3019,3027,1,0],[1,3027,3035,1,0],[1,3035,3043,1,0],[1,3043,3051,1,0],[1,3051,3059,1,0],[1,3059,3067,1,0],[0,3062,3134,1,0],[1,3067,3131,1,0],[0,3134,3206,1,0],[1,3146,3210,1,0],[1,3210,3274,1,0],[0,3243,3315,1,0],[1,3274,3338,1,0],[0,3315,3387,1,0],[1,3348,3356,1,0],[1,3356,3364,1,0],[1,3364,3372,1,0],[1,3372,3380,1,0],[1,3380,3444,1,0],[0,3387,3459,1,0],[1,3454,3462,1,0],[0,3459,3531,1,0],[1,3462,3470,1,0],[1,3470,3534,1,0],[0,3531,3603,1,0],[1,3542,3550,1,0],[1,3550,3614,1,0],[1,3614,3678,1,0],[0,3621,3669,1,0],[0,3669,3717,1,0],[1,3678,3742,1,0],[0,3719,3791,1,0],[1,3748,3812,1,0],[0,3791,3863,1,0],[1,3812,3876,1,0],[0,3869,3941,1,0],[1,3884,3948,1,0],[1,3948,4012,1,0],[0,3957,4029,1,0],[1,4012,4076,1,0],[0,4046,4094,1,0],[1,4076,4140,1,0],[0,4094,4166,1,0],[1,4140,4204,1,0],[0,4166,4214,1,0],[1,4204,4268,1,0],[0,4216,4288,1,0],[1,4268,4332,1,0],[0,4288,4360,1,0],[1,4332,4396,1,0],[0,4391,4463,1,0],[1,4396,4460,1,0],[1,4460,4524,1,0],[0,4463,4535,1,0],[1,4524,4588,1,0],[0,4544,4616,1,0],[1,4588,4652,1,0],[0,4616,4688,1,0],[1,4652,4716,1,0],[0,4688,4760,1,0],[1,4717,4781,1,0],[0,4760,4832,1,0],[1,4781,4845,1,0],[0,4832,4904,1,0],[1,4845,4909,1,0],[0,4904,4976,1,0],[1,4909,4973,1,0],[1,4973,5037,1,0],[0,5022,5094,1,0],[1,5037,5101,1,0],[0,5096,5168,1,0],[1,5101,5165,1,0],[1,5165,5229,1,0],[0,5190,5238,1,0],[1,5229,5293,1,0],[0,5238,5310,1,0],[1,5293,5357,1,0],[0,5310,5382,1,0],[1,5357,5421,1,0],[0,5384,5456,1,0],[1,5429,5493,1,0],[1,5493,5557,1,0],[0,5502,5550,1,0],[0,5552,5624,1,0],[1,5557,5621,1,0],[1,5621,5685,1,0],[0,5624,5696,1,0],[1,5685,5749,1,0],[0,5696,5768,1,0],[1,5749,5813,1,0],[0,5790,5862,1,0],[1,5813,5877,1,0],[0,5862,5934,1,0],[1,5877,5941,1,0],[0,5936,6008,1,0],[1,5941,6005,1,0],[1,6005,6069,1,0],[0,6008,6080,1,0],[1,6069,6133,1,0],[0,6080,6152,1,0],[1,6133,6197,1,0],[1,6197,6261,1,0],[1,6261,6325,1,0],[1,6325,6389,1,0],[1,6389,6453,1,0],[0,6390,6438,1,0],[1,6453,6517,1,0],[1,6517,6581,1,0],[0,6534,6582,1,0],[1,6581,6645,1,0],[1,6645,6709,1,0],[1,6709,6773,1,0],[1,6773,6837,1,0],[0,6822,6894,1,0],[1,6837,6901,1,0]],[[0,12,84,1,0],[0,84,156,1,0],[1,146,218,1,0],[0,156,228,1,0],[0,228,300,1,0],[1,258,330,1,0],[0,300,372,1,0],[1,354,426,1,0],[0,372,444,1,0],[1,434,506,1,0],[0,444,516,1,0],[0,523,595,1,0],[1,526,598,1,0],[0,599,671,1,0],[1,634,706,1,0],[0,683,755,1,0],[1,706,778,1,0],[0,755,827,1,0],[1,794,866,1,0],[1,866,938,1,0],[0,899,971,1,0],[1,938,1010,1,0],[0,971,1043,1,0],[1,1010,1082,1,0],[0,1083,1131,1,0],[0,1131,1203,1,0],[1,1134,1206,1,0],[0,1203,1211,1,0],[0,1211,1283,1,0],[1,1235,1307,1,0],[0,1283,1355,1,0],[0,1355,1427,1,0],[1,1372,1444,1,0],[1,1444,1516,1,0],[0,1475,1547,1,0],[1,1516,1588,1,0],[0,1547,1619,1,0],[1,1588,1660,1,0],[0,1619,1691,1,0],[1,1691,1763,1,0],[0,1699,1771,1,0],[1,1763,1835,1,0],[0,1794,1866,1,0],[1,1835,1907,1,0],[0,1874,1946,1,0],[1,1915,1987,1,0],[1,1987,2059,1,0],[0,2018,2090,1,0],[1,2059,2131,1,0],[0,2092,2164,1,0],[1,2131,2203,1,0],[0,2164,2172,1,0],[0,2196,2268,1,0],[1,2211,2283,1,0],[0,2268,2340,1,0],[1,2307,2379,1,0],[0,2340,2412,1,0],[1,2379,2451,1,0],[0,2426,2498,1,0],[1,2475,2547,1,0],[1,2547,2619,1,0],[0,2561,2633,1,0],[1,2619,2691,1,0],[0,2633,2641,1,0],[0,2650,2722,1,0],[1,2691,2763,1,0],[0,2722,2794,1,0],[1,2787,2859,1,0],[0,2820,2892,1,0],[1,2859,2931,1,0],[0,2898,2970,1,0],[1,2933,3005,1,0],[0,2980,3052,1,0],[1,3027,3099,1,0],[0,3075,3147,1,0],[1,3099,3171,1,0],[1,3171,3243,1,0],[0,3202,3274,1,0],[1,3243,3315,1,0],[0,3274,3282,1,0],[0,3282,3290,1,0],[0,3290,3298,1,0],[0,3298,3306,1,0],[0,3306,3314,1,0],[1,3315,3387,1,0],[0,3346,3354,1,0],[0,3356,3428,1,0],[1,3395,3467,1,0],[0,3428,3500,1,0],[1,3467,3539,1,0],[1,3547,3619,1,0],[0,3572,3644,1,0],[1,3619,3691,1,0],[1,3691,3763,1,0],[0,3724,3796,1,0],[1,3803,3875,1,0],[0,3828,3900,1,0],[1,3875,3947,1,0],[0,3900,3908,1,0],[0,3908,3916,1,0],[0,3916,3924,1,0],[0,3924,3932,1,0],[0,3938,4010,1,0],[1,3947,4019,1,0],[1,4019,4091,1,0],[0,4026,4034,1,0],[0,4034,4042,1,0],[0,4042,4050,1,0],[1,4091,4163,1,0],[0,4100,4172,1,0],[1,4163,4235,1,0],[0,4172,4244,1,0],[1,4235,4307,1,0],[0,4252,4324,1,0],[1,4307,4379,1,0],[1,4379,4451,1,0],[0,4410,4458,1,0],[1,4451,4523,1,0],[0,4458,4506,1,0],[1,4547,4619,1,0],[0,4554,4602,1,0],[0,4602,4650,1,0],[1,4619,4691,1,0],[0,4682,4754,1,0],[1,4691,4763,1,0],[0,4754,4802,1,0],[1,4763,4835,1,0],[0,4802,4850,1,0],[0,4850,4922,1,0],[1,4867,4939,1,0],[0,4932,5004,1,0],[1,4955,5027,1,0],[0,5008,5056,1,0],[1,5027,5099,1,0],[0,5068,5140,1,0],[1,5101,5173,1,0],[0,5140,5212,1,0],[1,5187,5259,1,0],[0,5218,5290,1,0],[1,5259,5331,1,0],[0,5301,5373,1,0],[1,5347,5419,1,0],[0,5373,5445,1,0],[1,5439,5511,1,0],[0,5516,5564,1,0],[1,5555,5627,1,0],[0,5564,5636,1,0],[1,5627,5699,1,0],[0,5636,5684,1,0],[0,5684,5756,1,0],[1,5699,5771,1,0],[0,5756,5828,1,0],[1,5771,5843,1,0],[0,5852,5924,1,0],[1,5904,5976,1,0],[0,5948,5996,1,0],[1,5987,6059,1,0],[0,5996,6068,1,0],[1,6109,6181,1,0],[0,6116,6188,1,0],[1,6204,6276,1,0],[0,6261,6333,1,0],[1,6397,6469,1,0],[0,6405,6477,1,0],[0,6549,6621,1,0],[0,6693,6765,1,0],[0,6837,6909,1,0],[0,7028,7076,1,0],[0,7124,7172,1,0],[0,7220,7268,1,0],[0,7316,7364,1,0],[0,7460,7508,1,0]],[[0,35,107,1,0],[1,71,143,1,0],[0,107,179,1,0],[1,143,215,1,0],[0,179,227,1,0],[1,215,287,1,0],[0,227,299,1,0],[1,287,359,1,0],[0,299,371,1,0],[1,359,431,1,0],[0,371,419,1,0],[0,419,427,1,0],[0,427,499,1,0],[1,431,503,1,0],[0,499,547,1,0],[1,503,575,1,0],[0,547,619,1,0],[0,619,627,1,0],[1,624,696,1,0],[0,627,699,1,0],[1,696,768,1,0],[0,699,747,1,0],[0,747,819,1,0],[1,771,843,1,0],[0,819,891,1,0],[1,843,915,1,0],[0,891,963,1,0],[1,915,987,1,0],[0,963,1035,1,0],[1,1019,1091,1,0],[0,1035,1083,1,0],[0,1083,1155,1,0],[1,1107,1179,1,0],[0,1155,1227,1,0],[1,1179,1251,1,0],[0,1227,1299,1,0],[1,1251,1323,1,0],[0,1299,1371,1,0],[1,1323,1395,1,0],[0,1371,1419,1,0],[1,1395,1467,1,0],[0,1419,1491,1,0],[0,1491,1563,1,0],[1,1499,1571,1,0],[0,1563,1571,1,0],[1,1571,1643,1,0],[0,1574,1646,1,0],[1,1643,1715,1,0],[0,1646,1694,1,0],[0,1694,1702,1,0],[0,1702,1750,1,0],[1,1715,1787,1,0],[0,1750,1822,1,0],[1,1787,1859,1,0],[0,1822,1894,1,0],[1,1859,1931,1,0],[0,1894,1942,1,0],[1,1931,2003,1,0],[0,1942,2014,1,0],[1,2003,2075,1,0],[0,2014,2086,1,0],[1,2075,2147,1,0],[0,2086,2158,1,0],[0,2158,2206,1,0],[1,2196,2268,1,0],[0,2206,2278,1,0],[1,2278,2350,1,0],[0,2281,2353,1,0],[1,2350,2422,1,0],[0,2353,2425,1,0],[1,2422,2494,1,0],[0,2425,2497,1,0],[0,2497,2569,1,0],[1,2532,2604,1,0],[0,2569,2617,1,0],[1,2604,2676,1,0],[0,2617,2665,1,0],[0,2665,2673,1,0],[0,2673,2745,1,0],[1,2676,2748,1,0],[0,2745,2817,1,0],[1,2748,2820,1,0],[0,2817,2865,1,0],[0,2865,2873,1,0],[1,2870,2942,1,0],[0,2873,2945,1,0],[0,2945,2993,1,0],[1,2956,3028,1,0],[0,2993,3065,1,0],[1,3028,3100,1,0],[0,3065,3137,1,0],[1,3134,3206,1,0],[0,3137,3145,1,0],[0,3145,3217,1,0],[1,3206,3278,1,0],[0,3217,3265,1,0],[0,3265,3337,1,0],[1,3278,3350,1,0],[0,3337,3345,1,0],[0,3345,3393,1,0],[1,3350,3422,1,0],[0,3393,3465,1,0],[1,3422,3494,1,0],[0,3465,3537,1,0],[1,3494,3566,1,0],[0,3537,3545,1,0],[0,3545,3617,1,0],[1,3566,3638,1,0],[0,3617,3625,1,0],[0,3625,3697,1,0],[1,3638,3710,1,0],[0,3697,3705,1,0],[0,3705,3777,1,0],[1,3758,3830,1,0],[0,3777,3849,1,0],[1,3830,3902,1,0],[0,3849,3857,1,0],[0,3857,3929,1,0],[1,3902,3974,1,0],[0,3929,4001,1,0],[1,3974,4046,1,0],[0,4003,4011,1,0],[0,4011,4019,1,0],[0,4019,4027,1,0],[0,4027,4035,1,0],[1,4046,4118,1,0],[0,4061,4133,1,0],[0,4133,4205,1,0],[1,4166,4238,1,0],[0,4205,4277,1,0],[1,4247,4319,1,0],[0,4277,4349,1,0],[1,4319,4391,1,0],[0,4349,4421,1,0],[1,4391,4463,1,0],[0,4421,4493,1,0],[0,4505,4577,1,0],[1,4510,4582,1,0],[0,4581,4653,1,0],[1,4607,4679,1,0],[0,4653,4725,1,0],[1,4679,4751,1,0],[0,4725,4797,1,0],[1,4751,4823,1,0],[0,4831,4903,1,0],[1,4840,4912,1,0],[1,4912,4984,1,0],[0,4927,4999,1,0],[1,4984,5056,1,0],[0,4999,5071,1,0],[1,5056,5128,1,0],[0,5085,5157,1,0],[1,5128,5200,1,0],[0,5157,5229,1,0],[1,5200,5272,1,0],[0,5229,5301,1,0],[1,5272,5344,1,0],[0,5301,5373,1,0],[1,5352,5424,1,0],[0,5403,5475,1,0],[1,5424,5496,1,0],[0,5493,5565,1,0],[1,5496,5568,1,0],[0,5565,5637,1,0],[1,5568,5640,1,0],[0,5637,5709,1,0],[1,5680,5752,1,0],[0,5719,5791,1,0],[1,5754,5826,1,0],[0,5791,5863,1,0],[1,5826,5898,1,0],[0,5863,5935,1,0],[1,5898,5970,1,0],[0,5935,6007,1,0],[1,5970,6042,1,0],[0,6019,6091,1,0],[1,6042,6114,1,0],[0,6091,6163,1,0],[1,6114,6186,1,0],[0,6163,6235,1,0],[1,6186,6258,1,0],[0,6235,6307,1,0],[1,6258,6330,1,0],[0,6307,6379,1,0],[1,6330,6402,1,0],[0,6379,6451,1,0],[1,6402,6474,1,0],[0,6451,6523,1,0],[1,6474,6546,1,0],[0,6523,6595,1,0],[1,6546,6618,1,0],[0,6595,6667,1,0],[1,6618,6690,1,0],[0,6667,6739,1,0],[1,6690,6762,1,0],[0,6739,6811,1,0],[1,6762,6834,1,0],[0,6811,6883,1,0],[1,6834,6906,1,0],[1,6906,6978,1,0],[1,6978,7050,1,0],[1,7050,7122,1,0],[1,7122,7194,1,0],[1,7194,7266,1,0],[1,7266,7338,1,0],[1,7338,7410,1,0],[1,7410,7482,1,0],[1,7482,7554,1,0]],[[0,44,116,1,0],[1,71,143,1,0],[1,143,215,1,0],[0,177,249,1,0],[1,215,287,1,0],[0,253,325,1,0],[1,287,359,1,0],[1,359,431,1,0],[0,381,453,1,0],[1,431,503,1,0],[0,453,525,1,0],[1,503,575,1,0],[0,525,597,1,0],[1,575,647,1,0],[0,597,669,1,0],[0,669,741,1,0],[1,693,765,1,0],[1,765,837,1,0],[0,805,877,1,0],[1,837,909,1,0],[1,909,981,1,0],[0,915,979,1,0],[0,979,1043,1,0],[1,1013,1085,1,0],[0,1069,1141,1,0],[1,1085,1157,1,0],[0,1145,1217,1,0],[1,1173,1245,1,0],[1,1245,1317,1,0],[0,1273,1345,1,0],[1,1317,1389,1,0],[0,1345,1417,1,0],[1,1421,1493,1,0],[0,1451,1515,1,0],[1,1493,1565,1,0],[0,1529,1601,1,0],[1,1567,1639,1,0],[0,1601,1665,1,0],[1,1645,1717,1,0],[0,1673,1745,1,0],[1,1717,1789,1,0],[0,1745,1817,1,0],[1,1789,1861,1,0],[1,1861,1933,1,0],[0,1873,1945,1,0],[0,1945,2009,1,0],[1,1983,2055,1,0],[0,2009,2073,1,0],[1,2055,2127,1,0],[1,2147,2219,1,0],[0,2150,2214,1,0],[0,2214,2278,1,0],[1,2245,2317,1,0],[0,2291,2363,1,0],[1,2335,2407,1,0],[0,2363,2435,1,0],[1,2407,2479,1,0],[0,2435,2507,1,0],[1,2479,2551,1,0],[0,2551,2615,1,0],[1,2601,2673,1,0],[0,2651,2723,1,0],[1,2695,2767,1,0],[0,2743,2807,1,0],[1,2811,2883,1,0],[0,2825,2897,1,0],[1,2883,2955,1,0],[0,2897,2969,1,0],[1,2955,3027,1,0],[1,3027,3099,1,0],[0,3043,3115,1,0],[0,3115,3187,1,0],[1,3147,3219,1,0],[0,3187,3259,1,0],[1,3219,3291,1,0],[0,3259,3331,1,0],[1,3291,3363,1,0],[0,3347,3411,1,0],[1,3363,3435,1,0],[0,3425,3497,1,0],[1,3483,3555,1,0],[0,3523,3595,1,0],[1,3565,3637,1,0],[0,3647,3719,1,0],[1,3669,3741,1,0],[1,3741,3813,1,0],[0,3787,3859,1,0],[1,3827,3899,1,0],[0,3863,3935,1,0],[1,3899,3971,1,0],[1,3971,4043,1,0],[0,3977,4041,1,0],[1,4043,4115,1,0],[0,4113,4177,1,0],[1,4115,4187,1,0],[1,4236,4308,1,0],[0,4266,4330,1,0],[1,4308,4380,1,0],[0,4330,4394,1,0],[1,4380,4452,1,0],[0,4394,4458,1,0],[1,4452,4524,1,0],[0,4458,4522,1,0],[0,4522,4586,1,0],[1,4524,4596,1,0],[0,4586,4650,1,0],[1,4596,4668,1,0],[1,4668,4740,1,0],[0,4714,4778,1,0],[1,4740,4812,1,0],[0,4778,4842,1,0],[1,4812,4884,1,0],[0,4842,4914,1,0],[1,4908,4980,1,0],[0,4970,5034,1,0],[1,5012,5084,1,0],[0,5034,5106,1,0],[1,5084,5156,1,0],[0,5106,5178,1,0],[1,5156,5228,1,0],[0,5178,5250,1,0],[1,5276,5348,1,0],[0,5292,5356,1,0],[0,5356,5428,1,0],[1,5366,5438,1,0],[0,5428,5500,1,0],[1,5438,5510,1,0],[0,5500,5564,1,0],[1,5510,5582,1,0],[0,5564,5628,1,0],[1,5582,5654,1,0],[0,5628,5692,1,0],[1,5654,5726,1,0],[0,5716,5788,1,0],[1,5726,5798,1,0],[0,5788,5860,1,0],[1,5798,5870,1,0],[1,5870,5942,1,0],[0,5921,5993,1,0],[1,5988,6060,1,0],[0,6020,6084,1,0],[1,6086,6158,1,0],[0,6148,6212,1,0],[1,6204,6276,1,0],[0,6281,6353,1,0],[1,6302,6374,1,0],[0,6425,6497,1,0],[1,6446,6518,1,0],[0,6569,6641,1,0],[1,6590,6662,1,0],[1,6662,6734,1,0],[1,6734,6806,1,0],[0,6737,6809,1,0],[0,6881,6953,1,0],[0,7025,7097,1,0],[0,7169,7241,1,0],[0,7368,7432,1,0],[0,7560,7624,1,0],[0,7816,7880,1,0],[0,8072,8136,1,0]],[[0,19,91,1,0],[1,71,135,1,0],[0,91,163,1,0],[1,135,199,1,0],[0,163,235,1,0],[1,199,263,1,0],[0,235,307,1,0],[1,275,339,1,0],[0,307,371,1,0],[1,339,403,1,0],[0,371,435,1,0],[1,424,488,1,0],[0,444,508,1,0],[0,508,572,1,0],[1,517,581,1,0],[0,572,644,1,0],[1,583,647,1,0],[0,644,708,1,0],[1,660,724,1,0],[0,708,780,1,0],[1,724,788,1,0],[0,780,852,1,0],[1,788,852,1,0],[0,852,916,1,0],[1,872,936,1,0],[0,916,988,1,0],[1,969,1033,1,0],[0,988,1060,1,0],[1,1033,1097,1,0],[0,1060,1124,1,0],[1,1108,1172,1,0],[0,1124,1188,1,0],[1,1172,1236,1,0],[0,1188,1260,1,0],[1,1256,1320,1,0],[0,1260,1324,1,0],[0,1324,1396,1,0],[1,1353,1417,1,0],[0,1396,1460,1,0],[1,1417,1481,1,0],[0,1460,1524,1,0],[1,1481,1545,1,0],[0,1524,1588,1,0],[1,1545,1609,1,0],[0,1588,1660,1,0],[1,1631,1695,1,0],[0,1660,1732,1,0],[1,1695,1759,1,0],[0,1732,1796,1,0],[1,1759,1823,1,0],[0,1796,1860,1,0],[1,1823,1887,1,0],[0,1860,1924,1,0],[1,1889,1953,1,0],[0,1924,1996,1,0],[1,1953,2017,1,0],[0,1996,2068,1,0],[1,2017,2081,1,0],[0,2068,2132,1,0],[1,2081,2145,1,0],[0,2132,2204,1,0],[1,2145,2209,1,0],[0,2204,2276,1,0],[1,2209,2273,1,0],[1,2273,2337,1,0],[0,2276,2340,1,0],[1,2339,2403,1,0],[0,2340,2404,1,0],[1,2403,2467,1,0],[0,2404,2468,1,0],[1,2467,2531,1,0],[0,2468,2532,1,0],[1,2531,2595,1,0],[0,2532,2604,1,0],[1,2595,2659,1,0],[0,2604,2668,1,0],[1,2659,2723,1,0],[0,2668,2740,1,0],[1,2723,2787,1,0],[0,2740,2812,1,0],[1,2787,2851,1,0],[0,2812,2884,1,0],[1,2851,2915,1,0],[0,2884,2948,1,0],[1,2915,2979,1,0],[0,2948,3012,1,0],[1,2979,3043,1,0],[0,3012,3076,1,0],[1,3043,3107,1,0],[0,3076,3140,1,0],[1,3107,3171,1,0],[0,3140,3212,1,0],[1,3171,3235,1,0],[0,3212,3284,1,0],[1,3235,3299,1,0],[0,3284,3356,1,0],[1,3316,3380,1,0],[0,3356,3428,1,0],[1,3402,3466,1,0],[0,3428,3492,1,0],[0,3492,3556,1,0],[1,3496,3560,1,0],[0,3556,3620,1,0],[1,3594,3658,1,0],[0,3620,3692,1,0],[1,3688,3752,1,0],[0,3692,3764,1,0],[1,3752,3816,1,0],[0,3781,3845,1,0],[0,3845,3909,1,0],[1,3850,3914,1,0],[0,3909,3981,1,0],[1,3944,4008,1,0],[0,4004,4068,1,0],[1,4042,4106,1,0],[0,4068,4132,1,0],[1,4136,4200,1,0],[0,4150,4222,1,0],[1,4200,4264,1,0],[0,4222,4294,1,0],[1,4264,4328,1,0],[0,4294,4366,1,0],[1,4328,4392,1,0],[0,4366,4438,1,0],[1,4392,4456,1,0],[0,4438,4510,1,0],[1,4456,4520,1,0],[0,4510,4582,1,0],[1,4520,4584,1,0],[0,4582,4654,1,0],[1,4584,4648,1,0],[1,4648,4712,1,0],[0,4654,4726,1,0],[1,4712,4776,1,0],[0,4726,4798,1,0],[1,4776,4840,1,0],[0,4798,4870,1,0],[1,4840,4904,1,0],[0,4870,4942,1,0],[1,4904,4968,1,0],[0,4942,5014,1,0],[1,4968,5032,1,0],[0,5014,5086,1,0],[1,5062,5126,1,0],[0,5086,5158,1,0],[1,5126,5190,1,0],[0,5158,5230,1,0],[1,5190,5254,1,0],[0,5230,5302,1,0],[1,5288,5352,1,0],[0,5302,5374,1,0],[1,5352,5416,1,0],[0,5374,5446,1,0],[1,5416,5480,1,0],[0,5446,5518,1,0],[1,5480,5544,1,0],[0,5518,5590,1,0],[1,5544,5608,1,0],[0,5590,5662,1,0],[1,5608,5672,1,0],[0,5662,5734,1,0],[1,5672,5736,1,0],[0,5734,5806,1,0],[1,5736,5800,1,0],[1,5800,5864,1,0],[0,5806,5878,1,0],[1,5868,5932,1,0],[0,5878,5950,1,0],[1,5932,5996,1,0],[0,5950,6022,1,0],[1,5998,6062,1,0],[0,6022,6094,1,0],[1,6062,6126,1,0],[0,6094,6166,1,0],[1,6126,6190,1,0],[0,6166,6238,1,0],[1,6190,6254,1,0],[0,6238,6310,1,0],[1,6254,6318,1,0],[0,6310,6382,1,0],[1,6318,6382,1,0],[1,6382,6446,1,0],[0,6383,6455,1,0],[1,6446,6510,1,0],[0,6455,6527,1,0],[1,6510,6574,1,0],[0,6527,6599,1,0],[1,6574,6638,1,0],[1,6638,6702,1,0],[1,6702,6766,1,0],[0,6958,7030,1,0],[0,7102,7174,1,0]],[[0,47,119,1,0],[1,71,143,1,0],[1,143,215,1,0],[0,178,250,1,0],[1,218,290,1,0],[0,252,324,1,0],[1,290,362,1,0],[0,324,396,1,0],[1,362,434,1,0],[0,396,468,1,0],[1,478,550,1,0],[0,514,586,1,0],[1,571,643,1,0],[0,586,658,1,0],[0,658,730,1,0],[1,686,758,1,0],[0,730,802,1,0],[1,758,830,1,0],[0,802,874,1,0],[1,830,902,1,0],[1,902,974,1,0],[0,919,983,1,0],[1,974,1046,1,0],[1,1046,1118,1,0],[0,1050,1122,1,0],[1,1118,1190,1,0],[0,1122,1194,1,0],[0,1194,1266,1,0],[1,1219,1291,1,0],[0,1271,1335,1,0],[1,1291,1363,1,0],[0,1335,1399,1,0],[1,1363,1435,1,0],[0,1399,1463,1,0],[1,1435,1507,1,0],[0,1469,1541,1,0],[1,1510,1582,1,0],[0,1541,1613,1,0],[1,1582,1654,1,0],[1,1654,1726,1,0],[0,1663,1727,1,0],[1,1726,1798,1,0],[0,1791,1855,1,0],[1,1798,1870,1,0],[1,1870,1942,1,0],[0,1874,1946,1,0],[0,1946,2018,1,0],[1,1971,2043,1,0],[0,2018,2090,1,0],[1,2043,2115,1,0],[1,2115,2187,1,0],[0,2132,2196,1,0],[1,2187,2259,1,0],[0,2213,2285,1,0],[1,2259,2331,1,0],[0,2288,2360,1,0],[1,2331,2403,1,0],[0,2399,2463,1,0],[1,2403,2475,1,0],[1,2475,2547,1,0],[0,2482,2554,1,0],[0,2554,2626,1,0],[1,2590,2662,1,0],[0,2626,2698,1,0],[1,2662,2734,1,0],[1,2734,2806,1,0],[0,2765,2837,1,0],[1,2806,2878,1,0],[0,2837,2909,1,0],[1,2878,2950,1,0],[0,2946,3018,1,0],[1,2990,3062,1,0],[0,3031,3103,1,0],[1,3074,3146,1,0],[0,3103,3175,1,0],[1,3146,3218,1,0],[0,3196,3260,1,0],[1,3262,3334,1,0],[0,3309,3381,1,0],[1,3334,3406,1,0],[1,3406,3478,1,0],[0,3423,3487,1,0],[1,3478,3550,1,0],[0,3511,3583,1,0],[1,3594,3666,1,0],[0,3645,3717,1,0],[1,3686,3758,1,0],[0,3717,3789,1,0],[1,3759,3831,1,0],[1,3831,3903,1,0],[0,3852,3916,1,0],[1,3903,3975,1,0],[0,3933,4005,1,0],[1,3975,4047,1,0],[1,4047,4119,1,0],[0,4050,4114,1,0],[0,4114,4178,1,0],[1,4166,4238,1,0],[0,4213,4285,1,0],[1,4254,4326,1,0],[0,4304,4368,1,0],[1,4326,4398,1,0],[0,4376,4440,1,0],[1,4398,4470,1,0],[0,4456,4520,1,0],[1,4470,4542,1,0],[1,4542,4614,1,0],[0,4575,4639,1,0],[1,4618,4690,1,0],[0,4639,4703,1,0],[1,4690,4762,1,0],[0,4703,4767,1,0],[0,4794,4858,1,0],[1,4806,4878,1,0],[0,4858,4922,1,0],[1,4902,4974,1,0],[0,4986,5050,1,0],[1,5002,5074,1,0],[0,5050,5114,1,0],[1,5074,5146,1,0],[0,5114,5178,1,0],[1,5146,5218,1,0],[1,5218,5290,1,0],[0,5223,5295,1,0],[1,5295,5367,1,0],[0,5298,5370,1,0],[1,5367,5439,1,0],[0,5370,5434,1,0],[1,5439,5511,1,0],[0,5442,5514,1,0],[1,5511,5583,1,0],[0,5514,5586,1,0],[1,5583,5655,1,0],[0,5586,5658,1,0],[1,5655,5727,1,0],[0,5695,5759,1,0],[1,5727,5799,1,0],[0,5781,5853,1,0],[1,5799,5871,1,0],[0,5853,5925,1,0],[1,5871,5943,1,0],[1,5943,6015,1,0],[0,5951,6015,1,0],[1,6015,6087,1,0],[0,6069,6141,1,0],[1,6087,6159,1,0],[0,6143,6207,1,0],[1,6159,6231,1,0],[1,6231,6303,1,0],[0,6271,6335,1,0],[1,6375,6447,1,0],[0,6379,6451,1,0],[0,6523,6595,1,0],[0,6667,6739,1,0],[0,6847,6911,1,0],[0,7027,7099,1,0],[0,7171,7243,1,0],[0,7387,7459,1,0],[0,7615,7679,1,0],[0,7807,7871,1,0]],[[0,18,90,1,0],[1,71,135,1,0],[0,90,162,1,0],[1,135,199,1,0],[0,162,234,1,0],[1,199,263,1,0],[0,234,306,1,0],[1,295,359,1,0],[0,306,378,1,0],[0,378,442,1,0],[1,390,454,1,0],[0,442,506,1,0],[1,487,551,1,0],[0,506,578,1,0],[0,578,642,1,0],[1,583,647,1,0],[0,642,706,1,0],[1,650,714,1,0],[0,706,778,1,0],[1,743,807,1,0],[0,778,842,1,0],[1,807,871,1,0],[0,842,906,1,0],[1,871,935,1,0],[0,906,978,1,0],[1,960,1024,1,0],[0,978,1042,1,0],[0,1042,1106,1,0],[1,1058,1122,1,0],[0,1106,1178,1,0],[1,1152,1216,1,0],[0,1178,1242,1,0],[0,1242,1314,1,0],[1,1250,1314,1,0],[1,1314,1378,1,0],[0,1315,1387,1,0],[1,1378,1442,1,0],[0,1387,1451,1,0],[1,1442,1506,1,0],[0,1451,1523,1,0],[1,1506,1570,1,0],[0,1523,1587,1,0],[1,1570,1634,1,0],[0,1587,1651,1,0],[1,1634,1698,1,0],[0,1651,1715,1,0],[1,1700,1764,1,0],[0,1715,1787,1,0],[1,1788,1852,1,0],[0,1789,1861,1,0],[1,1861,1925,1,0],[0,1862,1926,1,0],[0,1926,1990,1,0],[1,1961,2025,1,0],[0,1991,2055,1,0],[1,2044,2108,1,0],[0,2055,2127,1,0],[1,2108,2172,1,0],[0,2127,2191,1,0],[1,2173,2237,1,0],[0,2191,2263,1,0],[1,2237,2301,1,0],[0,2263,2327,1,0],[1,2301,2365,1,0],[0,2327,2391,1,0],[1,2366,2430,1,0],[0,2391,2463,1,0],[1,2430,2494,1,0],[0,2463,2527,1,0],[1,2494,2558,1,0],[0,2527,2599,1,0],[1,2558,2622,1,0],[0,2599,2671,1,0],[1,2622,2686,1,0],[0,2671,2735,1,0],[1,2686,2750,1,0],[0,2735,2799,1,0],[1,2750,2814,1,0],[0,2799,2863,1,0],[1,2814,2878,1,0],[0,2863,2927,1,0],[1,2878,2942,1,0],[0,2927,2999,1,0],[1,2942,3006,1,0],[0,2999,3071,1,0],[1,3007,3071,1,0],[1,3071,3135,1,0],[0,3072,3144,1,0],[1,3135,3199,1,0],[0,3144,3208,1,0],[1,3199,3263,1,0],[0,3208,3272,1,0],[1,3263,3327,1,0],[0,3272,3336,1,0],[1,3327,3391,1,0],[0,3336,3408,1,0],[1,3393,3457,1,0],[0,3408,3472,1,0],[1,3457,3521,1,0],[0,3472,3544,1,0],[1,3521,3585,1,0],[0,3544,3616,1,0],[0,3616,3680,1,0],[1,3628,3692,1,0],[0,3680,3744,1,0],[1,3721,3785,1,0],[0,3744,3808,1,0],[0,3808,3880,1,0],[1,3820,3884,1,0],[0,3880,3952,1,0],[1,3884,3948,1,0],[0,3952,4016,1,0],[1,3978,4042,1,0],[0,4016,4088,1,0],[1,4076,4140,1,0],[0,4088,4160,1,0],[0,4160,4232,1,0],[1,4170,4234,1,0],[0,4232,4304,1,0],[1,4234,4298,1,0],[1,4298,4362,1,0],[0,4304,4376,1,0],[1,4362,4426,1,0],[0,4376,4448,1,0],[0,4448,4520,1,0],[1,4460,4524,1,0],[0,4520,4592,1,0],[1,4524,4588,1,0],[0,4592,4664,1,0],[1,4618,4682,1,0],[0,4664,4736,1,0],[1,4682,4746,1,0],[0,4736,4808,1,0],[1,4781,4845,1,0],[0,4808,4880,1,0],[1,4874,4938,1,0],[0,4880,4952,1,0],[1,4938,5002,1,0],[0,4952,5024,1,0],[1,5002,5066,1,0],[0,5024,5096,1,0],[1,5066,5130,1,0],[0,5096,5168,1,0],[1,5130,5194,1,0],[0,5168,5240,1,0],[1,5226,5290,1,0],[0,5240,5312,1,0],[0,5312,5384,1,0],[1,5314,5378,1,0],[1,5378,5442,1,0],[0,5384,5456,1,0],[1,5442,5506,1,0],[0,5456,5528,1,0],[0,5528,5600,1,0],[1,5538,5602,1,0],[0,5600,5672,1,0],[1,5610,5674,1,0],[0,5672,5744,1,0],[1,5674,5738,1,0],[1,5740,5804,1,0],[0,5744,5816,1,0],[1,5804,5868,1,0],[0,5816,5888,1,0],[1,5868,5932,1,0],[0,5917,5989,1,0],[1,5932,5996,1,0],[1,5998,6062,1,0],[0,6032,6104,1,0],[1,6062,6126,1,0],[1,6126,6190,1,0],[1,6190,6254,1,0],[0,6201,6273,1,0],[1,6256,6320,1,0],[0,6273,6345,1,0],[1,6346,6410,1,0],[0,6347,6419,1,0],[0,6419,6491,1,0],[1,6442,6506,1,0],[1,6508,6572,1,0],[0,6561,6633,1,0],[1,6572,6636,1,0],[1,6636,6700,1,0],[1,6700,6764,1,0],[0,6705,6777,1,0],[1,6764,6828,1,0],[1,6828,6892,1,0],[0,6849,6921,1,0],[1,6892,6956,1,0],[1,6956,7020,1,0],[0,6993,7065,1,0],[1,7020,7084,1,0],[0,7065,7137,1,0]],[[0,11,43,1,0],[0,43,107,1,0],[1,71,135,1,0],[0,107,171,1,0],[1,135,199,1,0],[0,171,235,1,0],[1,231,295,1,0],[0,258,290,1,0],[0,290,354,1,0],[1,324,388,1,0],[0,354,418,1,0],[1,388,452,1,0],[0,418,482,1,0],[1,487,551,1,0],[0,492,556,1,0],[1,551,615,1,0],[0,556,620,1,0],[1,615,679,1,0],[0,621,685,1,0],[1,679,743,1,0],[0,702,766,1,0],[1,743,807,1,0],[0,766,830,1,0],[1,807,871,1,0],[0,830,894,1,0],[1,871,935,1,0],[0,898,962,1,0],[1,970,1034,1,0],[0,1014,1046,1,0],[0,1046,1110,1,0],[1,1066,1130,1,0],[0,1110,1142,1,0],[1,1132,1196,1,0],[0,1142,1206,1,0],[1,1197,1261,1,0],[0,1206,1270,1,0],[1,1290,1354,1,0],[0,1302,1334,1,0],[0,1334,1398,1,0],[1,1354,1418,1,0],[0,1398,1462,1,0],[1,1418,1482,1,0],[0,1462,1526,1,0],[1,1482,1546,1,0],[0,1526,1590,1,0],[1,1546,1610,1,0],[0,1590,1654,1,0],[1,1642,1706,1,0],[0,1654,1718,1,0],[0,1718,1782,1,0],[1,1738,1802,1,0],[0,1782,1846,1,0],[1,1802,1866,1,0],[0,1846,1910,1,0],[1,1890,1954,1,0],[0,1910,1974,1,0],[1,1954,2018,1,0],[0,1974,2038,1,0],[1,2018,2082,1,0],[0,2042,2106,1,0],[1,2082,2146,1,0],[0,2110,2174,1,0],[1,2152,2216,1,0],[0,2194,2258,1,0],[1,2216,2280,1,0],[0,2262,2326,1,0],[1,2314,2378,1,0],[0,2326,2390,1,0],[1,2380,2444,1,0],[0,2390,2454,1,0],[0,2454,2518,1,0],[1,2466,2530,1,0],[0,2518,2582,1,0],[1,2562,2626,1,0],[0,2582,2646,1,0],[1,2626,2690,1,0],[0,2648,2712,1,0],[1,2690,2754,1,0],[0,2718,2782,1,0],[1,2756,2820,1,0],[0,2782,2846,1,0],[1,2820,2884,1,0],[0,2846,2910,1,0],[1,2884,2948,1,0],[0,2928,2960,1,0],[0,2960,2992,1,0],[1,2978,3042,1,0],[0,3005,3069,1,0],[0,3069,3133,1,0],[1,3074,3138,1,0],[0,3133,3165,1,0],[1,3138,3202,1,0],[0,3165,3229,1,0],[1,3213,3277,1,0],[0,3230,3294,1,0],[1,3277,3341,1,0],[0,3294,3358,1,0],[0,3358,3422,1,0],[1,3373,3437,1,0],[0,3422,3486,1,0],[1,3458,3522,1,0],[0,3486,3550,1,0],[1,3522,3586,1,0],[0,3550,3614,1,0],[1,3586,3650,1,0],[0,3614,3678,1,0],[1,3658,3722,1,0],[0,3678,3742,1,0],[0,3742,3806,1,0],[1,3746,3810,1,0],[0,3806,3870,1,0],[1,3814,3878,1,0],[0,3870,3934,1,0],[1,3885,3949,1,0],[0,3937,4001,1,0],[1,3981,4045,1,0],[0,4001,4065,1,0],[1,4045,4109,1,0],[0,4065,4129,1,0],[1,4109,4173,1,0],[0,4129,4193,1,0],[0,4193,4257,1,0],[1,4205,4269,1,0],[0,4257,4321,1,0],[1,4301,4365,1,0],[0,4347,4379,1,0],[1,4389,4453,1,0],[0,4390,4454,1,0],[0,4454,4518,1,0],[1,4462,4526,1,0],[0,4518,4582,1,0],[1,4557,4621,1,0],[1,4621,4685,1,0],[0,4635,4699,1,0],[1,4685,4749,1,0],[0,4733,4797,1,0],[1,4773,4837,1,0],[0,4797,4861,1,0],[1,4837,4901,1,0],[0,4861,4893,1,0],[0,4893,4957,1,0],[1,4901,4965,1,0],[0,4962,5026,1,0],[1,5006,5070,1,0],[0,5026,5058,1,0],[0,5058,5090,1,0],[1,5070,5134,1,0],[0,5090,5122,1,0],[1,5134,5198,1,0],[0,5148,5212,1,0],[1,5198,5262,1,0],[0,5218,5250,1,0],[1,5262,5326,1,0],[0,5278,5342,1,0],[1,5326,5390,1,0],[0,5342,5374,1,0],[0,5374,5406,1,0],[1,5390,5454,1,0],[0,5406,5470,1,0],[0,5470,5534,1,0],[1,5518,5582,1,0],[0,5606,5670,1,0],[1,5646,5710,1,0],[0,5670,5734,1,0],[1,5710,5774,1,0],[0,5798,5862,1,0],[1,5838,5902,1,0],[0,5926,5990,1,0],[1,5966,6030,1,0],[0,5990,6054,1,0],[1,6094,6158,1,0],[0,6118,6182,1,0],[1,6158,6222,1,0],[1,6286,6350,1,0],[0,6374,6438,1,0],[0,6566,6630,1,0]],[[0,46,110,1,0],[1,88,152,1,0],[0,110,174,1,0],[1,152,216,1,0],[0,174,238,1,0],[1,236,300,1,0],[0,238,302,1,0],[0,302,366,1,0],[1,318,382,1,0],[0,366,430,1,0],[1,382,446,1,0],[0,430,494,1,0],[1,477,541,1,0],[0,494,558,1,0],[0,558,622,1,0],[1,573,637,1,0],[0,622,686,1,0],[1,669,733,1,0],[0,691,755,1,0],[1,733,797,1,0],[0,755,819,1,0],[1,797,861,1,0],[0,819,883,1,0],[1,893,957,1,0],[0,921,985,1,0],[1,963,1027,1,0],[0,985,1049,1,0],[1,1027,1091,1,0],[0,1049,1113,1,0],[1,1091,1155,1,0],[0,1113,1177,1,0],[1,1155,1219,1,0],[0,1198,1262,1,0],[1,1245,1309,1,0],[0,1262,1326,1,0],[1,1309,1373,1,0],[0,1331,1395,1,0],[1,1373,1437,1,0],[0,1395,1459,1,0],[1,1437,1501,1,0],[0,1459,1523,1,0],[1,1501,1565,1,0],[0,1523,1587,1,0],[0,1589,1653,1,0],[1,1597,1661,1,0],[1,1661,1725,1,0],[0,1683,1747,1,0],[1,1725,1789,1,0],[0,1747,1811,1,0],[1,1789,1853,1,0],[0,1811,1875,1,0],[1,1853,1917,1,0],[0,1875,1939,1,0],[1,1917,1981,1,0],[0,1939,2003,1,0],[1,1981,2045,1,0],[0,2003,2067,1,0],[0,2069,2133,1,0],[1,2077,2141,1,0],[1,2141,2205,1,0],[0,2163,2227,1,0],[1,2205,2269,1,0],[0,2227,2291,1,0],[1,2282,2346,1,0],[0,2291,2355,1,0],[0,2355,2419,1,0],[1,2378,2442,1,0],[0,2422,2486,1,0],[1,2461,2525,1,0],[0,2491,2523,1,0],[0,2523,2587,1,0],[1,2557,2621,1,0],[0,2587,2651,1,0],[1,2621,2685,1,0],[0,2651,2715,1,0],[0,2715,2779,1,0],[1,2717,2781,1,0],[0,2779,2843,1,0],[1,2788,2852,1,0],[1,2853,2917,1,0],[0,2874,2938,1,0],[0,2938,3002,1,0],[1,2949,3013,1,0],[1,3013,3077,1,0],[0,3025,3089,1,0],[1,3077,3141,1,0],[0,3089,3153,1,0],[0,3155,3219,1,0],[1,3165,3229,1,0],[0,3227,3291,1,0],[1,3236,3300,1,0],[0,3291,3355,1,0],[1,3308,3372,1,0],[1,3377,3441,1,0],[0,3386,3450,1,0],[0,3450,3514,1,0],[1,3473,3537,1,0],[0,3514,3578,1,0],[1,3556,3620,1,0],[0,3578,3610,1,0],[0,3610,3642,1,0],[0,3642,3706,1,0],[1,3645,3709,1,0],[0,3706,3770,1,0],[1,3741,3805,1,0],[0,3770,3834,1,0],[1,3805,3869,1,0],[0,3836,3900,1,0],[1,3901,3965,1,0],[0,3931,3963,1,0],[0,3963,3995,1,0],[1,3965,4029,1,0],[0,3995,4059,1,0],[1,4037,4101,1,0],[0,4059,4123,1,0],[1,4101,4165,1,0],[0,4123,4187,1,0],[1,4165,4229,1,0],[0,4187,4251,1,0],[1,4229,4293,1,0],[0,4251,4315,1,0],[1,4293,4357,1,0],[0,4315,4347,1,0],[0,4347,4411,1,0],[1,4357,4421,1,0],[0,4411,4475,1,0],[1,4423,4487,1,0],[1,4487,4551,1,0],[0,4507,4539,1,0],[0,4539,4571,1,0],[0,4573,4637,1,0],[1,4614,4678,1,0],[0,4637,4701,1,0],[1,4678,4742,1,0],[0,4701,4765,1,0],[1,4742,4806,1,0],[0,4765,4829,1,0],[1,4806,4870,1,0],[0,4829,4893,1,0],[1,4870,4934,1,0],[0,4893,4957,1,0],[1,4934,4998,1,0],[0,4957,5021,1,0],[1,4998,5062,1,0],[0,5084,5148,1,0],[1,5094,5158,1,0],[0,5148,5212,1,0],[1,5183,5247,1,0],[0,5242,5306,1,0],[1,5254,5318,1,0],[0,5306,5370,1,0],[1,5318,5382,1,0],[0,5371,5403,1,0],[1,5383,5447,1,0],[0,5403,5467,1,0],[1,5447,5511,1,0],[0,5467,5531,1,0],[1,5511,5575,1,0],[0,5531,5595,1,0],[1,5575,5639,1,0],[1,5641,5705,1,0],[0,5695,5727,1,0],[1,5705,5769,1,0],[0,5727,5791,1,0],[1,5769,5833,1,0],[1,5833,5897,1,0],[0,5855,5887,1,0],[0,5919,5951,1,0],[0,6010,6074,1,0],[1,6079,6143,1,0],[0,6207,6239,1,0],[0,6303,6335,1,0],[0,6367,6399,1,0],[0,6485,6549,1,0],[0,6613,6677,1,0],[0,7200,7232,1,0]],[[0,12,44,1,0],[0,44,108,1,0],[1,71,135,1,0],[0,108,172,1,0],[1,135,199,1,0],[0,172,236,1,0],[1,199,263,1,0],[0,236,300,1,0],[1,263,327,1,0],[0,300,364,1,0],[1,327,391,1,0],[0,364,428,1,0],[1,391,455,1,0],[0,428,492,1,0],[1,455,519,1,0],[0,492,556,1,0],[1,519,583,1,0],[0,556,620,1,0],[1,583,647,1,0],[0,620,684,1,0],[1,647,711,1,0],[0,684,748,1,0],[1,711,775,1,0],[0,748,812,1,0],[1,775,839,1,0],[0,826,890,1,0],[1,841,905,1,0],[0,890,954,1,0],[1,905,969,1,0],[0,954,1018,1,0],[1,969,1033,1,0],[0,1018,1082,1,0],[1,1033,1097,1,0],[0,1082,1146,1,0],[1,1123,1187,1,0],[0,1146,1210,1,0],[1,1219,1283,1,0],[0,1263,1327,1,0],[1,1304,1368,1,0],[0,1327,1391,1,0],[1,1373,1437,1,0],[0,1402,1466,1,0],[1,1437,1501,1,0],[0,1466,1530,1,0],[1,1501,1565,1,0],[0,1530,1594,1,0],[1,1565,1629,1,0],[0,1620,1684,1,0],[1,1656,1720,1,0],[0,1715,1779,1,0],[1,1720,1784,1,0],[0,1779,1843,1,0],[1,1784,1848,1,0],[0,1843,1907,1,0],[1,1848,1912,1,0],[0,1907,1971,1,0],[1,1912,1976,1,0],[0,1971,2035,1,0],[1,1987,2051,1,0],[0,2043,2107,1,0],[1,2083,2147,1,0],[0,2107,2171,1,0],[0,2171,2235,1,0],[1,2180,2244,1,0],[1,2264,2328,1,0],[0,2287,2351,1,0],[1,2328,2392,1,0],[0,2351,2415,1,0],[1,2404,2468,1,0],[0,2415,2479,1,0],[0,2479,2543,1,0],[1,2499,2563,1,0],[0,2543,2607,1,0],[1,2584,2648,1,0],[0,2607,2671,1,0],[1,2657,2721,1,0],[0,2671,2735,1,0],[0,2735,2799,1,0],[1,2755,2819,1,0],[0,2799,2863,1,0],[1,2819,2883,1,0],[0,2863,2927,1,0],[1,2883,2947,1,0],[0,2927,2991,1,0],[1,2968,3032,1,0],[0,2991,3055,1,0],[1,3032,3096,1,0],[0,3055,3119,1,0],[1,3096,3160,1,0],[0,3157,3189,1,0],[1,3160,3224,1,0],[0,3189,3253,1,0],[1,3224,3288,1,0],[0,3253,3317,1,0],[1,3288,3352,1,0],[0,3317,3381,1,0],[1,3352,3416,1,0],[0,3413,3445,1,0],[1,3416,3480,1,0],[0,3445,3509,1,0],[1,3480,3544,1,0],[0,3509,3573,1,0],[1,3544,3608,1,0],[0,3573,3637,1,0],[1,3608,3672,1,0],[0,3637,3701,1,0],[1,3672,3736,1,0],[0,3701,3765,1,0],[1,3749,3813,1,0],[0,3765,3829,1,0],[0,3829,3893,1,0],[1,3845,3909,1,0],[0,3893,3957,1,0],[1,3928,3992,1,0],[0,3957,4021,1,0],[1,4005,4069,1,0],[0,4021,4085,1,0],[0,4085,4149,1,0],[1,4088,4152,1,0],[0,4149,4213,1,0],[1,4184,4248,1,0],[0,4265,4329,1,0],[1,4293,4357,1,0],[0,4348,4412,1,0],[1,4376,4440,1,0],[0,4412,4476,1,0],[1,4472,4536,1,0],[0,4487,4519,1,0],[0,4519,4551,1,0],[1,4536,4600,1,0],[0,4551,4615,1,0],[0,4615,4679,1,0],[1,4632,4696,1,0],[0,4679,4743,1,0],[1,4696,4760,1,0],[0,4743,4775,1,0],[1,4760,4824,1,0],[0,4775,4807,1,0],[0,4807,4871,1,0],[1,4847,4911,1,0],[0,4871,4903,1,0],[0,4903,4935,1,0],[0,4935,4999,1,0],[1,4952,5016,1,0],[0,5001,5033,1,0],[1,5016,5080,1,0],[0,5033,5065,1,0],[0,5065,5097,1,0],[1,5080,5144,1,0],[0,5097,5129,1,0],[0,5129,5193,1,0],[1,5144,5208,1,0],[0,5193,5225,1,0],[1,5208,5272,1,0],[0,5256,5320,1,0],[1,5272,5336,1,0],[0,5321,5353,1,0],[1,5336,5400,1,0],[0,5353,5417,1,0],[1,5400,5464,1,0],[0,5417,5449,1,0],[1,5464,5528,1,0],[1,5528,5592,1,0],[0,5576,5640,1,0],[1,5592,5656,1,0],[0,5640,5704,1,0],[1,5656,5720,1,0],[0,5704,5768,1,0],[0,5768,5832,1,0],[1,5784,5848,1,0],[0,5896,5960,1,0],[1,5976,6040,1,0],[0,6024,6088,1,0],[0,6216,6280,1,0],[0,6408,6472,1,0],[0,6664,6728,1,0]],[[0,45,109,1,0],[0,110,174,1,0],[1,155,219,1,0],[0,174,238,1,0],[0,238,270,1,0],[0,270,334,1,0],[1,301,365,1,0],[0,334,366,1,0],[0,366,430,1,0],[1,411,475,1,0],[0,430,494,1,0],[1,484,548,1,0],[0,494,526,1,0],[0,526,590,1,0],[1,557,621,1,0],[0,601,633,1,0],[0,633,697,1,0],[1,667,731,1,0],[0,697,761,1,0],[0,761,825,1,0],[1,763,827,1,0],[0,825,889,1,0],[1,827,891,1,0],[0,889,953,1,0],[1,902,966,1,0],[0,953,1017,1,0],[1,998,1062,1,0],[0,1017,1081,1,0],[0,1081,1145,1,0],[1,1083,1147,1,0],[0,1145,1209,1,0],[1,1192,1256,1,0],[0,1209,1273,1,0],[0,1273,1337,1,0],[1,1275,1339,1,0],[0,1337,1401,1,0],[1,1374,1438,1,0],[0,1402,1466,1,0],[1,1445,1509,1,0],[0,1466,1530,1,0],[1,1521,1585,1,0],[0,1532,1596,1,0],[1,1589,1653,1,0],[0,1606,1670,1,0],[1,1653,1717,1,0],[0,1670,1734,1,0],[1,1717,1781,1,0],[0,1751,1815,1,0],[1,1781,1845,1,0],[0,1815,1879,1,0],[1,1869,1933,1,0],[0,1886,1950,1,0],[1,1933,1997,1,0],[0,1956,2020,1,0],[1,1997,2061,1,0],[0,2020,2084,1,0],[1,2061,2125,1,0],[0,2084,2148,1,0],[1,2125,2189,1,0],[0,2148,2212,1,0],[1,2190,2254,1,0],[0,2212,2276,1,0],[1,2254,2318,1,0],[0,2276,2340,1,0],[1,2318,2382,1,0],[0,2355,2419,1,0],[1,2414,2478,1,0],[0,2419,2483,1,0],[1,2478,2542,1,0],[0,2521,2553,1,0],[1,2542,2606,1,0],[0,2553,2617,1,0],[1,2606,2670,1,0],[0,2617,2681,1,0],[1,2670,2734,1,0],[0,2681,2713,1,0],[0,2751,2815,1,0],[1,2798,2862,1,0],[0,2821,2885,1,0],[1,2862,2926,1,0],[0,2885,2949,1,0],[1,2926,2990,1,0],[0,2949,3013,1,0],[1,3014,3078,1,0],[0,3015,3047,1,0],[0,3047,3111,1,0],[1,3078,3142,1,0],[0,3137,3201,1,0],[1,3142,3206,1,0],[0,3201,3233,1,0],[1,3206,3270,1,0],[0,3233,3297,1,0],[0,3297,3361,1,0],[1,3334,3398,1,0],[0,3361,3425,1,0],[1,3404,3468,1,0],[0,3425,3489,1,0],[1,3468,3532,1,0],[0,3489,3553,1,0],[1,3556,3620,1,0],[0,3587,3619,1,0],[0,3619,3683,1,0],[1,3647,3711,1,0],[0,3683,3715,1,0],[1,3716,3780,1,0],[0,3717,3781,1,0],[0,3781,3813,1,0],[1,3796,3860,1,0],[0,3813,3877,1,0],[0,3877,3941,1,0],[1,3908,3972,1,0],[0,3941,4005,1,0],[0,4005,4069,1,0],[1,4036,4100,1,0],[0,4069,4133,1,0],[1,4100,4164,1,0],[0,4133,4197,1,0],[0,4197,4261,1,0],[1,4223,4287,1,0],[0,4261,4325,1,0],[1,4287,4351,1,0],[0,4325,4389,1,0],[1,4356,4420,1,0],[0,4389,4453,1,0],[1,4420,4484,1,0],[0,4453,4517,1,0],[1,4484,4548,1,0],[0,4521,4585,1,0],[1,4548,4612,1,0],[0,4585,4649,1,0],[0,4649,4681,1,0],[1,4671,4735,1,0],[0,4681,4745,1,0],[1,4735,4799,1,0],[0,4745,4777,1,0],[0,4777,4809,1,0],[1,4804,4868,1,0],[0,4837,4901,1,0],[1,4868,4932,1,0],[0,4901,4933,1,0],[1,4932,4996,1,0],[0,4934,4998,1,0],[1,4996,5060,1,0],[0,4998,5030,1,0],[0,5033,5097,1,0],[0,5097,5161,1,0],[1,5119,5183,1,0],[0,5161,5225,1,0],[1,5183,5247,1,0],[0,5285,5349,1,0],[1,5311,5375,1,0],[0,5349,5413,1,0],[1,5375,5439,1,0],[0,5413,5477,1,0],[1,5444,5508,1,0],[0,5477,5541,1,0],[1,5508,5572,1,0],[0,5541,5605,1,0],[1,5572,5636,1,0],[0,5605,5669,1,0],[0,5669,5733,1,0],[1,5695,5759,1,0],[0,5734,5798,1,0],[1,5764,5828,1,0],[0,5798,5862,1,0],[1,5887,5951,1,0],[1,6015,6079,1,0],[0,6118,6182,1,0],[1,6143,6207,1,0],[1,6271,6335,1,0],[0,6310,6374,1,0],[0,6438,6502,1,0]],[[0,44,108,1,0],[1,71,135,1,0],[0,108,172,1,0],[1,135,199,1,0],[0,172,236,1,0],[1,216,280,1,0],[0,236,300,1,0],[1,280,344,1,0],[0,300,364,1,0],[1,344,408,1,0],[0,364,428,1,0],[0,431,495,1,0],[1,440,504,1,0],[0,496,560,1,0],[1,504,568,1,0],[0,560,624,1,0],[1,568,632,1,0],[0,624,688,1,0],[1,632,696,1,0],[0,688,752,1,0],[1,706,770,1,0],[0,752,816,1,0],[1,792,856,1,0],[0,816,880,1,0],[1,860,924,1,0],[0,880,944,1,0],[1,939,1003,1,0],[0,966,1030,1,0],[1,1020,1084,1,0],[0,1030,1094,1,0],[0,1094,1158,1,0],[1,1112,1176,1,0],[0,1158,1222,1,0],[1,1177,1241,1,0],[0,1222,1286,1,0],[1,1241,1305,1,0],[0,1286,1350,1,0],[1,1305,1369,1,0],[0,1358,1422,1,0],[1,1402,1466,1,0],[0,1467,1531,1,0],[1,1509,1573,1,0],[0,1531,1595,1,0],[1,1594,1658,1,0],[0,1608,1672,1,0],[0,1674,1738,1,0],[1,1682,1746,1,0],[0,1742,1806,1,0],[1,1746,1810,1,0],[0,1806,1870,1,0],[1,1810,1874,1,0],[0,1870,1934,1,0],[1,1874,1938,1,0],[1,1938,2002,1,0],[0,1966,2030,1,0],[1,2004,2068,1,0],[0,2030,2094,1,0],[1,2078,2142,1,0],[0,2094,2158,1,0],[1,2143,2207,1,0],[0,2158,2222,1,0],[1,2207,2271,1,0],[0,2222,2286,1,0],[1,2271,2335,1,0],[0,2292,2356,1,0],[1,2336,2400,1,0],[0,2356,2420,1,0],[1,2400,2464,1,0],[0,2420,2484,1,0],[0,2484,2548,1,0],[1,2493,2557,1,0],[0,2548,2580,1,0],[0,2581,2645,1,0],[1,2586,2650,1,0],[0,2645,2709,1,0],[1,2685,2749,1,0],[0,2709,2773,1,0],[1,2749,2813,1,0],[0,2773,2837,1,0],[1,2813,2877,1,0],[0,2865,2929,1,0],[1,2877,2941,1,0],[0,2929,2993,1,0],[1,2941,3005,1,0],[0,2993,3025,1,0],[1,3005,3069,1,0],[0,3025,3089,1,0],[0,3089,3153,1,0],[1,3101,3165,1,0],[0,3157,3189,1,0],[1,3165,3229,1,0],[0,3189,3253,1,0],[1,3229,3293,1,0],[0,3253,3285,1,0],[0,3285,3349,1,0],[1,3293,3357,1,0],[0,3349,3381,1,0],[1,3357,3421,1,0],[0,3385,3449,1,0],[1,3421,3485,1,0],[0,3449,3481,1,0],[0,3481,3545,1,0],[1,3485,3549,1,0],[0,3545,3609,1,0],[1,3554,3618,1,0],[1,3618,3682,1,0],[0,3627,3691,1,0],[1,3682,3746,1,0],[0,3691,3723,1,0],[0,3723,3755,1,0],[1,3746,3810,1,0],[0,3755,3819,1,0],[1,3810,3874,1,0],[0,3819,3883,1,0],[1,3876,3940,1,0],[0,3883,3947,1,0],[1,3940,4004,1,0],[0,3979,4043,1,0],[1,4029,4093,1,0],[0,4043,4107,1,0],[0,4111,4143,1,0],[1,4119,4183,1,0],[0,4143,4207,1,0],[0,4207,4271,1,0],[1,4215,4279,1,0],[0,4271,4335,1,0],[1,4279,4343,1,0],[0,4335,4399,1,0],[1,4343,4407,1,0],[0,4399,4463,1,0],[1,4413,4477,1,0],[0,4465,4497,1,0],[0,4497,4561,1,0],[1,4505,4569,1,0],[0,4561,4625,1,0],[1,4569,4633,1,0],[0,4625,4689,1,0],[1,4663,4727,1,0],[0,4711,4775,1,0],[1,4735,4799,1,0],[0,4775,4839,1,0],[1,4799,4863,1,0],[0,4839,4903,1,0],[1,4863,4927,1,0],[0,4903,4967,1,0],[0,4967,5031,1,0],[1,4985,5049,1,0],[0,5039,5071,1,0],[1,5055,5119,1,0],[0,5071,5135,1,0],[0,5135,5199,1,0],[1,5179,5243,1,0],[0,5203,5267,1,0],[1,5247,5311,1,0],[0,5328,5360,1,0],[0,5360,5424,1,0],[1,5371,5435,1,0],[0,5424,5488,1,0],[1,5499,5563,1,0],[1,5563,5627,1,0],[0,5588,5652,1,0],[1,5691,5755,1,0],[0,5716,5780,1,0],[1,5755,5819,1,0],[0,5844,5876,1,0],[0,5876,5908,1,0],[1,5887,5951,1,0],[0,5940,5972,1,0],[1,6015,6079,1,0],[0,6036,6068,1,0],[0,6100,6164,1,0],[1,6207,6271,1,0],[0,6228,6292,1,0],[0,6420,6484,1,0],[1,6463,6527,1,0],[0,6612,6676,1,0]],[[0,46,110,1,0],[1,71,135,1,0],[0,110,174,1,0],[1,135,199,1,0],[0,179,243,1,0],[1,213,277,1,0],[0,243,307,1,0],[0,307,371,1,0],[1,309,373,1,0],[0,371,435,1,0],[1,405,469,1,0],[0,435,499,1,0],[0,499,563,1,0],[1,501,565,1,0],[1,565,629,1,0],[0,587,651,1,0],[1,629,693,1,0],[0,651,715,1,0],[1,693,757,1,0],[0,715,779,1,0],[1,757,821,1,0],[0,779,843,1,0],[1,821,885,1,0],[0,843,907,1,0],[1,885,949,1,0],[0,907,971,1,0],[1,981,1045,1,0],[0,1024,1056,1,0],[0,1056,1120,1,0],[1,1085,1149,1,0],[0,1120,1184,1,0],[1,1149,1213,1,0],[0,1184,1248,1,0],[1,1226,1290,1,0],[0,1248,1280,1,0],[0,1280,1344,1,0],[1,1290,1354,1,0],[0,1344,1408,1,0],[1,1365,1429,1,0],[0,1408,1472,1,0],[1,1429,1493,1,0],[0,1472,1536,1,0],[1,1493,1557,1,0],[0,1536,1600,1,0],[1,1557,1621,1,0],[0,1600,1664,1,0],[1,1653,1717,1,0],[0,1664,1728,1,0],[1,1717,1781,1,0],[0,1739,1803,1,0],[1,1781,1845,1,0],[0,1803,1867,1,0],[1,1845,1909,1,0],[0,1867,1931,1,0],[0,1931,1995,1,0],[1,1941,2005,1,0],[1,2005,2069,1,0],[0,2027,2091,1,0],[1,2069,2133,1,0],[0,2091,2155,1,0],[1,2133,2197,1,0],[0,2155,2219,1,0],[1,2197,2261,1,0],[0,2219,2283,1,0],[1,2261,2325,1,0],[0,2283,2347,1,0],[1,2325,2389,1,0],[0,2347,2411,1,0],[0,2411,2475,1,0],[1,2421,2485,1,0],[1,2506,2570,1,0],[0,2507,2571,1,0],[1,2570,2634,1,0],[0,2571,2635,1,0],[1,2634,2698,1,0],[0,2635,2699,1,0],[1,2698,2762,1,0],[0,2699,2763,1,0],[1,2762,2826,1,0],[0,2763,2827,1,0],[1,2826,2890,1,0],[0,2835,2867,1,0],[0,2867,2931,1,0],[1,2890,2954,1,0],[0,2931,2963,1,0],[1,2954,3018,1,0],[0,2987,3051,1,0],[1,3039,3103,1,0],[0,3051,3115,1,0],[0,3115,3179,1,0],[1,3146,3210,1,0],[0,3179,3211,1,0],[1,3210,3274,1,0],[0,3211,3275,1,0],[1,3274,3338,1,0],[0,3275,3339,1,0],[1,3338,3402,1,0],[0,3339,3403,1,0],[1,3402,3466,1,0],[0,3435,3499,1,0],[1,3466,3530,1,0],[0,3499,3563,1,0],[1,3530,3594,1,0],[0,3563,3627,1,0],[1,3594,3658,1,0],[0,3627,3659,1,0],[1,3658,3722,1,0],[0,3659,3723,1,0],[1,3722,3786,1,0],[0,3723,3787,1,0],[1,3786,3850,1,0],[0,3787,3851,1,0],[1,3850,3914,1,0],[0,3851,3915,1,0],[1,3914,3978,1,0],[0,3915,3979,1,0],[1,3978,4042,1,0],[0,3979,4043,1,0],[1,4042,4106,1,0],[0,4043,4075,1,0],[1,4106,4170,1,0],[0,4120,4184,1,0],[1,4170,4234,1,0],[0,4184,4248,1,0],[1,4234,4298,1,0],[0,4250,4282,1,0],[0,4283,4347,1,0],[1,4298,4362,1,0],[0,4348,4412,1,0],[1,4362,4426,1,0],[0,4412,4476,1,0],[1,4426,4490,1,0],[0,4476,4540,1,0],[1,4490,4554,1,0],[1,4554,4618,1,0],[0,4555,4619,1,0],[1,4618,4682,1,0],[0,4619,4683,1,0],[1,4682,4746,1,0],[0,4696,4760,1,0],[1,4746,4810,1,0],[0,4760,4792,1,0],[0,4792,4824,1,0],[1,4810,4874,1,0],[0,4824,4888,1,0],[0,4888,4920,1,0],[1,4908,4972,1,0],[0,4939,5003,1,0],[1,5004,5068,1,0],[0,5005,5069,1,0],[0,5069,5133,1,0],[1,5132,5196,1,0],[0,5133,5165,1,0],[0,5165,5229,1,0],[1,5196,5260,1,0],[0,5240,5272,1,0],[0,5272,5336,1,0],[1,5292,5356,1,0],[0,5337,5401,1,0],[1,5356,5420,1,0],[0,5401,5465,1,0],[1,5420,5484,1,0],[0,5465,5529,1,0],[0,5529,5593,1,0],[0,5593,5657,1,0],[0,5657,5721,1,0],[1,5685,5749,1,0],[0,5721,5785,1,0],[0,5785,5849,1,0],[0,5849,5913,1,0],[1,5877,5941,1,0],[1,6069,6133,1,0],[1,6453,6517,1,0],[0,6520,6552,1,0],[0,6680,6712,1,0],[0,6872,6904,1,0]],[[0,47,111,1,0],[1,71,135,1,0],[0,111,175,1,0],[1,135,199,1,0],[0,175,239,1,0],[1,214,278,1,0],[0,241,305,1,0],[0,305,369,1,0],[1,310,374,1,0],[1,374,438,1,0],[0,389,453,1,0],[1,438,502,1,0],[0,455,519,1,0],[1,502,566,1,0],[0,519,583,1,0],[1,566,630,1,0],[0,589,653,1,0],[1,630,694,1,0],[0,653,717,1,0],[1,713,777,1,0],[0,738,770,1,0],[0,772,836,1,0],[1,786,850,1,0],[0,836,900,1,0],[1,850,914,1,0],[0,900,964,1,0],[1,914,978,1,0],[0,964,1028,1,0],[1,1014,1078,1,0],[0,1050,1114,1,0],[1,1097,1161,1,0],[0,1114,1178,1,0],[1,1161,1225,1,0],[0,1178,1242,1,0],[1,1225,1289,1,0],[0,1242,1306,1,0],[1,1289,1353,1,0],[0,1317,1381,1,0],[1,1353,1417,1,0],[0,1381,1445,1,0],[1,1417,1481,1,0],[0,1447,1511,1,0],[1,1494,1558,1,0],[0,1511,1575,1,0],[1,1558,1622,1,0],[0,1581,1645,1,0],[1,1622,1686,1,0],[0,1645,1709,1,0],[1,1686,1750,1,0],[0,1735,1799,1,0],[1,1750,1814,1,0],[0,1799,1863,1,0],[1,1846,1910,1,0],[0,1863,1927,1,0],[1,1910,1974,1,0],[0,1933,1997,1,0],[1,1976,2040,1,0],[0,2010,2074,1,0],[1,2040,2104,1,0],[0,2074,2138,1,0],[1,2134,2198,1,0],[0,2138,2202,1,0],[0,2202,2266,1,0],[1,2230,2294,1,0],[0,2266,2330,1,0],[1,2294,2358,1,0],[0,2330,2394,1,0],[1,2358,2422,1,0],[0,2394,2458,1,0],[1,2422,2486,1,0],[0,2460,2524,1,0],[1,2486,2550,1,0],[0,2524,2588,1,0],[1,2550,2614,1,0],[0,2588,2652,1,0],[1,2646,2710,1,0],[0,2663,2727,1,0],[1,2710,2774,1,0],[0,2733,2797,1,0],[1,2774,2838,1,0],[0,2797,2861,1,0],[0,2861,2925,1,0],[1,2870,2934,1,0],[1,2936,3000,1,0],[0,2957,3021,1,0],[1,3000,3064,1,0],[0,3021,3085,1,0],[1,3064,3128,1,0],[0,3085,3149,1,0],[1,3128,3192,1,0],[0,3151,3215,1,0],[1,3192,3256,1,0],[0,3226,3290,1,0],[1,3288,3352,1,0],[0,3290,3354,1,0],[1,3352,3416,1,0],[0,3354,3418,1,0],[0,3418,3482,1,0],[1,3448,3512,1,0],[0,3482,3546,1,0],[1,3544,3608,1,0],[0,3548,3612,1,0],[1,3608,3672,1,0],[0,3612,3676,1,0],[0,3676,3740,1,0],[1,3704,3768,1,0],[0,3740,3804,1,0],[1,3779,3843,1,0],[0,3804,3868,1,0],[1,3843,3907,1,0],[1,3907,3971,1,0],[0,3930,3994,1,0],[1,3971,4035,1,0],[0,3994,4058,1,0],[1,4035,4099,1,0],[0,4058,4090,1,0],[0,4090,4154,1,0],[1,4099,4163,1,0],[0,4154,4218,1,0],[1,4163,4227,1,0],[0,4218,4282,1,0],[1,4229,4293,1,0],[1,4293,4357,1,0],[0,4295,4359,1,0],[1,4357,4421,1,0],[0,4360,4392,1,0],[0,4392,4424,1,0],[0,4431,4495,1,0],[1,4472,4536,1,0],[0,4495,4527,1,0],[0,4527,4591,1,0],[1,4536,4600,1,0],[1,4613,4677,1,0],[0,4617,4681,1,0],[0,4681,4713,1,0],[0,4713,4777,1,0],[1,4728,4792,1,0],[0,4777,4841,1,0],[1,4792,4856,1,0],[0,4841,4873,1,0],[1,4856,4920,1,0],[0,4873,4905,1,0],[0,4905,4969,1,0],[1,4920,4984,1,0],[0,4969,5033,1,0],[1,4984,5048,1,0],[0,5033,5097,1,0],[1,5049,5113,1,0],[0,5097,5161,1,0],[1,5113,5177,1,0],[0,5161,5225,1,0],[1,5177,5241,1,0],[0,5225,5289,1,0],[1,5241,5305,1,0],[0,5289,5353,1,0],[1,5305,5369,1,0],[0,5361,5393,1,0],[1,5369,5433,1,0],[0,5417,5481,1,0],[1,5466,5530,1,0],[0,5487,5551,1,0],[0,5577,5609,1,0],[1,5624,5688,1,0],[0,5673,5705,1,0],[0,5743,5807,1,0],[1,5880,5944,1,0],[0,5897,5929,1,0],[0,5961,5993,1,0],[0,6025,6089,1,0],[1,6136,6200,1,0],[0,6217,6249,1,0],[0,6249,6313,1,0],[0,6377,6441,1,0],[1,6392,6456,1,0],[0,6697,6729,1,0],[0,6825,6857,1,0]],[[0,45,109,1,0],[1,71,135,1,0],[0,110,174,1,0],[1,135,199,1,0],[0,180,244,1,0],[1,199,263,1,0],[0,244,308,1,0],[1,263,327,1,0],[0,308,372,1,0],[1,327,391,1,0],[0,396,460,1,0],[1,414,478,1,0],[0,462,526,1,0],[1,487,551,1,0],[1,551,615,1,0],[0,558,622,1,0],[1,615,679,1,0],[0,622,686,1,0],[1,679,743,1,0],[0,686,750,1,0],[1,743,807,1,0],[0,764,828,1,0],[1,807,871,1,0],[0,828,892,1,0],[1,871,935,1,0],[0,892,956,1,0],[1,953,1017,1,0],[0,956,1020,1,0],[1,1017,1081,1,0],[0,1020,1084,1,0],[1,1081,1145,1,0],[0,1084,1148,1,0],[0,1148,1212,1,0],[1,1177,1241,1,0],[0,1212,1276,1,0],[1,1241,1305,1,0],[0,1276,1340,1,0],[1,1337,1401,1,0],[0,1370,1402,1,0],[0,1402,1434,1,0],[1,1419,1483,1,0],[0,1434,1498,1,0],[1,1483,1547,1,0],[0,1498,1562,1,0],[1,1547,1611,1,0],[0,1566,1630,1,0],[1,1611,1675,1,0],[0,1636,1700,1,0],[1,1677,1741,1,0],[0,1700,1764,1,0],[1,1741,1805,1,0],[0,1764,1828,1,0],[1,1805,1869,1,0],[0,1828,1892,1,0],[1,1869,1933,1,0],[0,1892,1956,1,0],[1,1933,1997,1,0],[0,1966,2030,1,0],[1,1997,2061,1,0],[0,2030,2094,1,0],[1,2061,2125,1,0],[0,2094,2158,1,0],[1,2125,2189,1,0],[0,2173,2237,1,0],[1,2189,2253,1,0],[1,2253,2317,1,0],[0,2254,2318,1,0],[1,2317,2381,1,0],[0,2318,2382,1,0],[1,2381,2445,1,0],[0,2382,2446,1,0],[1,2447,2511,1,0],[0,2448,2512,1,0],[1,2511,2575,1,0],[0,2512,2576,1,0],[1,2575,2639,1,0],[0,2576,2608,1,0],[0,2608,2672,1,0],[1,2639,2703,1,0],[0,2672,2736,1,0],[1,2704,2768,1,0],[0,2736,2800,1,0],[1,2768,2832,1,0],[0,2800,2864,1,0],[1,2832,2896,1,0],[0,2877,2909,1,0],[0,2909,2973,1,0],[1,2928,2992,1,0],[0,2973,3037,1,0],[1,2992,3056,1,0],[0,3037,3101,1,0],[1,3056,3120,1,0],[0,3101,3165,1,0],[1,3122,3186,1,0],[0,3175,3239,1,0],[1,3186,3250,1,0],[0,3239,3303,1,0],[1,3250,3314,1,0],[0,3303,3367,1,0],[1,3314,3378,1,0],[0,3367,3431,1,0],[1,3378,3442,1,0],[0,3431,3495,1,0],[1,3442,3506,1,0],[0,3495,3559,1,0],[1,3506,3570,1,0],[0,3559,3623,1,0],[1,3570,3634,1,0],[0,3623,3687,1,0],[1,3641,3705,1,0],[0,3687,3751,1,0],[1,3705,3769,1,0],[0,3751,3815,1,0],[1,3769,3833,1,0],[0,3815,3879,1,0],[1,3833,3897,1,0],[0,3879,3943,1,0],[1,3897,3961,1,0],[1,3961,4025,1,0],[0,3968,4032,1,0],[0,4032,4096,1,0],[1,4054,4118,1,0],[0,4096,4160,1,0],[1,4153,4217,1,0],[0,4160,4224,1,0],[0,4224,4288,1,0],[1,4246,4310,1,0],[0,4288,4352,1,0],[1,4345,4409,1,0],[0,4379,4443,1,0],[1,4422,4486,1,0],[0,4443,4507,1,0],[1,4501,4565,1,0],[0,4507,4571,1,0],[0,4571,4635,1,0],[1,4601,4665,1,0],[0,4642,4706,1,0],[1,4685,4749,1,0],[0,4767,4799,1,0],[0,4799,4863,1,0],[1,4811,4875,1,0],[0,4863,4927,1,0],[1,4875,4939,1,0],[0,4929,4993,1,0],[1,4943,5007,1,0],[0,4993,5057,1,0],[1,5007,5071,1,0],[0,5059,5091,1,0],[1,5073,5137,1,0],[0,5091,5155,1,0],[0,5155,5219,1,0],[1,5176,5240,1,0],[0,5219,5283,1,0],[1,5259,5323,1,0],[0,5283,5347,1,0],[1,5339,5403,1,0],[0,5350,5414,1,0],[0,5414,5478,1,0],[1,5467,5531,1,0],[0,5490,5554,1,0],[1,5531,5595,1,0],[0,5554,5618,1,0],[1,5595,5659,1,0],[0,5863,5927,1,0],[0,5959,5991,1,0],[0,6023,6055,1,0],[0,6087,6119,1,0],[0,6151,6183,1,0],[0,6215,6247,1,0],[0,6279,6311,1,0],[1,6347,6411,1,0],[0,6407,6439,1,0],[0,6535,6567,1,0],[0,6599,6631,1,0],[1,6603,6667,1,0],[0,6663,6695,1,0]],[[0,18,82,1,0],[1,71,135,1,0],[0,82,114,1,0],[0,114,178,1,0],[1,159,223,1,0],[0,178,242,1,0],[1,223,287,1,0],[0,242,306,1,0],[1,287,351,1,0],[0,306,338,1,0],[0,338,402,1,0],[1,351,415,1,0],[0,402,466,1,0],[1,415,479,1,0],[0,466,498,1,0],[1,479,543,1,0],[0,498,562,1,0],[1,543,607,1,0],[0,562,626,1,0],[1,607,671,1,0],[0,626,690,1,0],[1,671,735,1,0],[0,690,754,1,0],[1,735,799,1,0],[0,754,786,1,0],[0,786,850,1,0],[1,799,863,1,0],[0,850,914,1,0],[1,863,927,1,0],[0,914,978,1,0],[1,927,991,1,0],[0,978,1042,1,0],[1,991,1055,1,0],[0,1042,1074,1,0],[1,1055,1119,1,0],[0,1074,1138,1,0],[1,1119,1183,1,0],[0,1138,1202,1,0],[1,1183,1247,1,0],[0,1202,1234,1,0],[0,1234,1298,1,0],[1,1247,1311,1,0],[0,1298,1362,1,0],[1,1311,1375,1,0],[0,1363,1395,1,0],[1,1375,1439,1,0],[0,1395,1459,1,0],[1,1439,1503,1,0],[0,1459,1523,1,0],[1,1503,1567,1,0],[0,1523,1587,1,0],[1,1567,1631,1,0],[0,1587,1619,1,0],[0,1619,1683,1,0],[1,1671,1735,1,0],[0,1683,1747,1,0],[0,1747,1811,1,0],[1,1759,1823,1,0],[0,1811,1875,1,0],[1,1863,1927,1,0],[0,1875,1939,1,0],[0,1939,2003,1,0],[1,1961,2025,1,0],[0,2003,2067,1,0],[1,2055,2119,1,0],[0,2067,2099,1,0],[0,2099,2163,1,0],[1,2119,2183,1,0],[0,2163,2195,1,0],[1,2187,2251,1,0],[0,2195,2259,1,0],[1,2251,2315,1,0],[0,2259,2291,1,0],[0,2291,2355,1,0],[1,2315,2379,1,0],[0,2355,2387,1,0],[1,2379,2443,1,0],[0,2387,2451,1,0],[1,2443,2507,1,0],[0,2451,2483,1,0],[0,2483,2547,1,0],[1,2507,2571,1,0],[0,2547,2579,1,0],[1,2571,2635,1,0],[0,2579,2643,1,0],[1,2635,2699,1,0],[0,2643,2675,1,0],[0,2675,2739,1,0],[1,2699,2763,1,0],[0,2739,2771,1,0],[1,2763,2827,1,0],[0,2771,2835,1,0],[1,2827,2891,1,0],[0,2835,2899,1,0],[1,2891,2955,1,0],[0,2907,2971,1,0],[1,2955,3019,1,0],[0,2971,3035,1,0],[1,3019,3083,1,0],[0,3035,3099,1,0],[1,3083,3147,1,0],[0,3099,3163,1,0],[1,3147,3211,1,0],[0,3163,3227,1,0],[1,3211,3275,1,0],[0,3227,3291,1,0],[1,3275,3339,1,0],[0,3291,3355,1,0],[1,3339,3403,1,0],[0,3355,3419,1,0],[1,3403,3467,1,0],[0,3419,3483,1,0],[1,3467,3531,1,0],[0,3483,3547,1,0],[0,3547,3611,1,0],[1,3555,3619,1,0],[0,3611,3675,1,0],[1,3657,3721,1,0],[0,3675,3739,1,0],[1,3721,3785,1,0],[0,3739,3803,1,0],[1,3785,3849,1,0],[0,3803,3867,1,0],[1,3849,3913,1,0],[0,3867,3931,1,0],[1,3913,3977,1,0],[0,3931,3995,1,0],[1,3977,4041,1,0],[0,3995,4059,1,0],[1,4041,4105,1,0],[0,4059,4123,1,0],[1,4107,4171,1,0],[0,4123,4187,1,0],[1,4171,4235,1,0],[0,4187,4251,1,0],[1,4235,4299,1,0],[0,4251,4315,1,0],[1,4299,4363,1,0],[0,4315,4379,1,0],[1,4363,4427,1,0],[0,4379,4443,1,0],[1,4427,4491,1,0],[0,4443,4507,1,0],[1,4491,4555,1,0],[0,4507,4571,1,0],[1,4555,4619,1,0],[0,4571,4635,1,0],[1,4619,4683,1,0],[0,4635,4699,1,0],[1,4683,4747,1,0],[0,4699,4763,1,0],[1,4747,4811,1,0],[0,4763,4827,1,0],[1,4811,4875,1,0],[0,4827,4891,1,0],[1,4875,4939,1,0],[0,4891,4955,1,0],[0,4955,5019,1,0],[1,5005,5069,1,0],[0,5019,5083,1,0],[1,5069,5133,1,0],[0,5083,5147,1,0],[1,5133,5197,1,0],[0,5147,5211,1,0],[1,5198,5262,1,0],[0,5211,5275,1,0],[0,5275,5339,1,0],[1,5319,5383,1,0],[0,5339,5403,1,0],[1,5387,5451,1,0],[0,5403,5467,1,0],[1,5451,5515,1,0],[0,5467,5531,1,0],[1,5515,5579,1,0],[0,5531,5595,1,0],[1,5579,5643,1,0],[0,5595,5659,1,0],[1,5643,5707,1,0],[0,5659,5723,1,0],[1,5707,5771,1,0],[0,5723,5787,1,0],[1,5771,5835,1,0],[0,5787,5851,1,0],[1,5835,5899,1,0],[0,5851,5915,1,0],[1,5899,5963,1,0],[0,5915,5979,1,0],[1,5963,6027,1,0],[0,5979,6043,1,0],[1,6027,6091,1,0],[0,6043,6107,1,0],[1,6091,6155,1,0],[0,6107,6171,1,0],[1,6155,6219,1,0],[0,6171,6235,1,0],[1,6219,6283,1,0],[0,6235,6299,1,0],[1,6283,6347,1,0],[0,6299,6363,1,0],[1,6347,6411,1,0],[0,6363,6427,1,0],[1,6411,6475,1,0],[0,6427,6491,1,0],[1,6475,6539,1,0],[0,6491,6555,1,0],[1,6539,6603,1,0],[0,6555,6619,1,0],[0,6619,6683,1,0]],[[0,46,110,1,0],[1,71,135,1,0],[0,112,176,1,0],[1,135,199,1,0],[0,176,240,1,0],[1,215,279,1,0],[0,240,304,1,0],[0,304,336,1,0],[1,327,391,1,0],[0,336,368,1,0],[0,368,432,1,0],[1,408,472,1,0],[0,432,464,1,0],[0,464,496,1,0],[0,496,528,1,0],[1,519,583,1,0],[0,528,560,1,0],[0,560,624,1,0],[1,583,647,1,0],[0,624,656,1,0],[1,647,711,1,0],[0,656,688,1,0],[0,688,720,1,0],[1,711,775,1,0],[0,720,752,1,0],[0,752,816,1,0],[1,775,839,1,0],[0,816,848,1,0],[1,839,903,1,0],[0,848,880,1,0],[0,880,912,1,0],[1,903,967,1,0],[0,912,944,1,0],[0,944,1008,1,0],[1,967,1031,1,0],[0,1008,1040,1,0],[1,1031,1095,1,0],[0,1040,1072,1,0],[0,1072,1136,1,0],[1,1095,1159,1,0],[0,1136,1200,1,0],[1,1159,1223,1,0],[0,1200,1264,1,0],[1,1223,1287,1,0],[1,1287,1351,1,0],[0,1298,1362,1,0],[1,1351,1415,1,0],[0,1362,1426,1,0],[1,1415,1479,1,0],[0,1426,1490,1,0],[1,1479,1543,1,0],[0,1490,1554,1,0],[1,1543,1607,1,0],[0,1554,1618,1,0],[1,1607,1671,1,0],[0,1618,1682,1,0],[1,1671,1735,1,0],[0,1693,1757,1,0],[1,1735,1799,1,0],[0,1757,1821,1,0],[1,1799,1863,1,0],[0,1821,1885,1,0],[1,1863,1927,1,0],[0,1885,1949,1,0],[1,1927,1991,1,0],[0,1949,2013,1,0],[1,1991,2055,1,0],[0,2013,2077,1,0],[1,2055,2119,1,0],[0,2077,2141,1,0],[1,2119,2183,1,0],[0,2141,2205,1,0],[1,2183,2247,1,0],[0,2205,2269,1,0],[1,2247,2311,1,0],[0,2269,2333,1,0],[1,2311,2375,1,0],[0,2333,2397,1,0],[1,2375,2439,1,0],[0,2397,2461,1,0],[1,2439,2503,1,0],[0,2461,2525,1,0],[1,2503,2567,1,0],[0,2525,2589,1,0],[1,2567,2631,1,0],[0,2589,2653,1,0],[1,2631,2695,1,0],[0,2653,2717,1,0],[1,2695,2759,1,0],[0,2717,2781,1,0],[1,2759,2823,1,0],[0,2781,2845,1,0],[1,2823,2887,1,0],[0,2845,2909,1,0],[1,2888,2952,1,0],[0,2909,2973,1,0],[1,2952,3016,1,0],[0,2974,3038,1,0],[1,3022,3086,1,0],[0,3038,3102,1,0],[0,3102,3166,1,0],[1,3143,3207,1,0],[0,3166,3230,1,0],[1,3208,3272,1,0],[0,3230,3294,1,0],[1,3272,3336,1,0],[0,3294,3358,1,0],[1,3336,3400,1,0],[0,3358,3422,1,0],[1,3400,3464,1,0],[0,3422,3486,1,0],[1,3466,3530,1,0],[0,3486,3550,1,0],[1,3530,3594,1,0],[0,3550,3614,1,0],[1,3594,3658,1,0],[0,3614,3678,1,0],[1,3658,3722,1,0],[0,3678,3742,1,0],[1,3722,3786,1,0],[0,3742,3806,1,0],[1,3786,3850,1,0],[0,3806,3870,1,0],[1,3850,3914,1,0],[0,3870,3934,1,0],[1,3914,3978,1,0],[0,3934,3998,1,0],[1,3978,4042,1,0],[0,3998,4062,1,0],[1,4042,4106,1,0],[0,4062,4126,1,0],[0,4126,4190,1,0],[1,4170,4234,1,0],[0,4190,4254,1,0],[1,4234,4298,1,0],[0,4254,4318,1,0],[1,4298,4362,1,0],[0,4318,4382,1,0],[0,4382,4446,1,0],[1,4426,4490,1,0],[0,4446,4510,1,0],[0,4510,4574,1,0],[1,4554,4618,1,0],[1,4618,4682,1,0],[0,4638,4702,1,0],[1,4682,4746,1,0],[0,4702,4766,1,0],[1,4746,4810,1,0],[0,4766,4830,1,0],[1,4810,4874,1,0],[0,4830,4894,1,0],[1,4874,4938,1,0],[0,4894,4958,1,0],[1,4938,5002,1,0],[0,4958,5022,1,0],[1,5002,5066,1,0],[0,5022,5086,1,0],[1,5066,5130,1,0],[0,5086,5150,1,0],[0,5150,5214,1,0],[1,5194,5258,1,0],[0,5214,5278,1,0],[1,5258,5322,1,0],[0,5278,5342,1,0],[1,5322,5386,1,0],[0,5408,5472,1,0],[1,5450,5514,1,0],[0,5472,5536,1,0],[1,5514,5578,1,0],[0,5536,5600,1,0],[0,5600,5664,1,0],[1,5642,5706,1,0],[1,5770,5834,1,0],[0,6048,6112,1,0],[0,6304,6368,1,0],[0,6560,6624,1,0]],[[0,19,83,1,0],[1,71,135,1,0],[0,83,115,1,0],[0,115,179,1,0],[1,157,221,1,0],[0,179,243,1,0],[1,221,285,1,0],[0,243,275,1,0],[0,275,339,1,0],[1,285,349,1,0],[0,339,403,1,0],[1,349,413,1,0],[0,403,467,1,0],[1,413,477,1,0],[0,467,531,1,0],[1,477,541,1,0],[0,531,563,1,0],[1,541,605,1,0],[0,563,627,1,0],[0,627,659,1,0],[1,647,711,1,0],[0,659,723,1,0],[0,723,755,1,0],[1,733,797,1,0],[0,755,819,1,0],[0,819,851,1,0],[1,839,903,1,0],[0,851,915,1,0],[0,915,947,1,0],[1,925,989,1,0],[0,947,1011,1,0],[0,1011,1043,1,0],[1,1031,1095,1,0],[0,1043,1107,1,0],[0,1107,1139,1,0],[1,1117,1181,1,0],[0,1139,1203,1,0],[0,1203,1235,1,0],[1,1223,1287,1,0],[0,1235,1299,1,0],[0,1299,1331,1,0],[1,1302,1366,1,0],[0,1331,1395,1,0],[0,1395,1427,1,0],[1,1415,1479,1,0],[0,1427,1491,1,0],[0,1491,1523,1,0],[1,1505,1569,1,0],[0,1523,1587,1,0],[0,1587,1619,1,0],[1,1607,1671,1,0],[0,1619,1683,1,0],[1,1671,1735,1,0],[0,1683,1715,1,0],[0,1715,1779,1,0],[1,1735,1799,1,0],[0,1779,1811,1,0],[1,1799,1863,1,0],[0,1811,1875,1,0],[1,1863,1927,1,0],[0,1879,1943,1,0],[1,1927,1991,1,0],[0,1943,2007,1,0],[1,1991,2055,1,0],[0,2007,2071,1,0],[1,2055,2119,1,0],[0,2071,2135,1,0],[1,2119,2183,1,0],[0,2135,2199,1,0],[1,2183,2247,1,0],[0,2199,2263,1,0],[1,2247,2311,1,0],[0,2263,2327,1,0],[1,2311,2375,1,0],[0,2327,2391,1,0],[1,2375,2439,1,0],[0,2391,2455,1,0],[1,2439,2503,1,0],[0,2455,2519,1,0],[1,2503,2567,1,0],[0,2519,2583,1,0],[1,2567,2631,1,0],[0,2583,2647,1,0],[1,2631,2695,1,0],[0,2647,2711,1,0],[1,2695,2759,1,0],[0,2711,2775,1,0],[1,2759,2823,1,0],[0,2775,2839,1,0],[1,2823,2887,1,0],[0,2839,2903,1,0],[1,2887,2951,1,0],[0,2903,2967,1,0],[1,2951,3015,1,0],[0,2967,3031,1,0],[1,3015,3079,1,0],[0,3031,3095,1,0],[1,3079,3143,1,0],[0,3095,3159,1,0],[1,3143,3207,1,0],[0,3159,3223,1,0],[1,3207,3271,1,0],[0,3223,3287,1,0],[1,3271,3335,1,0],[0,3289,3353,1,0],[1,3335,3399,1,0],[0,3353,3417,1,0],[1,3399,3463,1,0],[0,3417,3481,1,0],[1,3463,3527,1,0],[0,3481,3545,1,0],[1,3527,3591,1,0],[0,3545,3609,1,0],[1,3591,3655,1,0],[0,3609,3673,1,0],[1,3655,3719,1,0],[0,3673,3737,1,0],[1,3719,3783,1,0],[0,3737,3801,1,0],[1,3783,3847,1,0],[0,3801,3865,1,0],[1,3847,3911,1,0],[0,3865,3929,1,0],[1,3911,3975,1,0],[0,3929,3993,1,0],[1,3975,4039,1,0],[0,3994,4058,1,0],[1,4039,4103,1,0],[0,4059,4123,1,0],[1,4103,4167,1,0],[0,4124,4188,1,0],[1,4167,4231,1,0],[0,4188,4252,1,0],[0,4252,4316,1,0],[1,4260,4324,1,0],[0,4316,4380,1,0],[1,4359,4423,1,0],[0,4380,4444,1,0],[1,4423,4487,1,0],[0,4444,4508,1,0],[1,4487,4551,1,0],[0,4508,4572,1,0],[1,4551,4615,1,0],[0,4572,4636,1,0],[1,4615,4679,1,0],[0,4636,4700,1,0],[0,4700,4764,1,0],[1,4702,4766,1,0],[0,4764,4828,1,0],[1,4807,4871,1,0],[0,4828,4892,1,0],[1,4871,4935,1,0],[0,4892,4956,1,0],[1,4935,4999,1,0],[0,4956,5020,1,0],[1,4999,5063,1,0],[0,5020,5084,1,0],[1,5063,5127,1,0],[0,5084,5148,1,0],[1,5127,5191,1,0],[0,5148,5212,1,0],[1,5191,5255,1,0],[0,5212,5276,1,0],[1,5255,5319,1,0],[0,5276,5340,1,0],[1,5319,5383,1,0],[0,5340,5404,1,0],[1,5383,5447,1,0],[0,5404,5468,1,0],[1,5447,5511,1,0],[0,5468,5532,1,0],[1,5511,5575,1,0],[0,5532,5596,1,0],[1,5575,5639,1,0],[0,5596,5660,1,0],[1,5639,5703,1,0],[0,5660,5724,1,0],[1,5703,5767,1,0],[0,5724,5788,1,0],[1,5767,5831,1,0],[0,5788,5852,1,0],[1,5831,5895,1,0],[0,5852,5916,1,0],[1,5895,5959,1,0],[0,5916,5980,1,0],[1,5959,6023,1,0],[0,5980,6044,1,0],[1,6023,6087,1,0],[0,6044,6108,1,0],[1,6087,6151,1,0],[0,6108,6172,1,0],[1,6151,6215,1,0],[0,6172,6236,1,0],[1,6215,6279,1,0],[0,6236,6300,1,0],[1,6279,6343,1,0],[0,6300,6364,1,0],[1,6343,6407,1,0],[0,6364,6428,1,0],[1,6407,6471,1,0],[0,6428,6492,1,0],[1,6471,6535,1,0],[0,6492,6556,1,0],[1,6535,6599,1,0],[0,6556,6620,1,0],[1,6599,6663,1,0],[0,6620,6684,1,0],[1,6663,6727,1,0]],[[0,45,109,1,0],[1,71,135,1,0],[0,109,173,1,0],[1,135,199,1,0],[0,173,237,1,0],[1,199,263,1,0],[0,240,304,1,0],[1,295,359,1,0],[0,316,348,1,0],[0,349,413,1,0],[1,359,423,1,0],[0,413,477,1,0],[1,456,520,1,0],[0,477,541,1,0],[1,520,584,1,0],[0,541,605,1,0],[1,601,665,1,0],[0,605,669,1,0],[0,669,733,1,0],[1,712,776,1,0],[0,733,797,1,0],[1,776,840,1,0],[0,797,861,1,0],[1,840,904,1,0],[0,861,925,1,0],[1,904,968,1,0],[0,925,989,1,0],[1,968,1032,1,0],[0,989,1053,1,0],[1,1032,1096,1,0],[0,1053,1117,1,0],[1,1096,1160,1,0],[0,1117,1181,1,0],[1,1160,1224,1,0],[0,1181,1245,1,0],[1,1224,1288,1,0],[0,1245,1309,1,0],[1,1288,1352,1,0],[0,1309,1373,1,0],[1,1352,1416,1,0],[0,1373,1437,1,0],[0,1437,1501,1,0],[1,1440,1504,1,0],[0,1501,1565,1,0],[1,1544,1608,1,0],[0,1565,1629,1,0],[1,1608,1672,1,0],[0,1629,1693,1,0],[1,1672,1736,1,0],[0,1693,1757,1,0],[1,1736,1800,1,0],[0,1757,1789,1,0],[1,1800,1864,1,0],[0,1821,1885,1,0],[1,1864,1928,1,0],[0,1885,1917,1,0],[0,1917,1981,1,0],[1,1928,1992,1,0],[0,1981,2045,1,0],[1,1992,2056,1,0],[0,2045,2109,1,0],[1,2056,2120,1,0],[0,2109,2173,1,0],[1,2120,2184,1,0],[0,2173,2237,1,0],[1,2184,2248,1,0],[0,2237,2301,1,0],[1,2248,2312,1,0],[0,2301,2365,1,0],[1,2312,2376,1,0],[0,2365,2397,1,0],[1,2376,2440,1,0],[0,2397,2429,1,0],[0,2429,2493,1,0],[1,2440,2504,1,0],[0,2493,2557,1,0],[1,2504,2568,1,0],[0,2557,2621,1,0],[1,2568,2632,1,0],[0,2621,2685,1,0],[1,2632,2696,1,0],[0,2685,2749,1,0],[1,2696,2760,1,0],[0,2749,2813,1,0],[1,2760,2824,1,0],[1,2824,2888,1,0],[0,2838,2870,1,0],[0,2870,2934,1,0],[1,2888,2952,1,0],[0,2934,2966,1,0],[1,2952,3016,1,0],[0,2966,2998,1,0],[0,2998,3062,1,0],[1,3016,3080,1,0],[0,3062,3126,1,0],[1,3080,3144,1,0],[0,3126,3158,1,0],[1,3144,3208,1,0],[0,3158,3190,1,0],[0,3190,3222,1,0],[1,3209,3273,1,0],[0,3222,3254,1,0],[0,3254,3318,1,0],[1,3273,3337,1,0],[0,3321,3353,1,0],[1,3337,3401,1,0],[0,3353,3385,1,0],[0,3385,3449,1,0],[1,3402,3466,1,0],[0,3449,3481,1,0],[1,3466,3530,1,0],[0,3481,3513,1,0],[1,3530,3594,1,0],[0,3550,3614,1,0],[0,3615,3679,1,0],[1,3656,3720,1,0],[0,3679,3743,1,0],[1,3722,3786,1,0],[0,3743,3807,1,0],[1,3786,3850,1,0],[0,3807,3871,1,0],[1,3850,3914,1,0],[0,3871,3935,1,0],[1,3914,3978,1,0],[0,3935,3999,1,0],[1,3978,4042,1,0],[0,3999,4063,1,0],[1,4042,4106,1,0],[0,4063,4127,1,0],[1,4106,4170,1,0],[0,4127,4191,1,0],[1,4170,4234,1,0],[0,4191,4255,1,0],[1,4234,4298,1,0],[0,4255,4319,1,0],[1,4298,4362,1,0],[0,4319,4383,1,0],[1,4362,4426,1,0],[0,4383,4447,1,0],[1,4426,4490,1,0],[0,4447,4511,1,0],[1,4490,4554,1,0],[0,4511,4575,1,0],[1,4554,4618,1,0],[0,4577,4641,1,0],[1,4618,4682,1,0],[0,4641,4705,1,0],[1,4682,4746,1,0],[0,4705,4769,1,0],[1,4746,4810,1,0],[0,4833,4897,1,0],[1,4874,4938,1,0],[0,4897,4961,1,0],[0,4961,5025,1,0],[1,5002,5066,1,0],[0,5025,5089,1,0],[0,5089,5153,1,0],[1,5130,5194,1,0],[0,5153,5217,1,0],[0,5217,5281,1,0],[1,5258,5322,1,0],[0,5281,5345,1,0],[1,5322,5386,1,0],[0,5345,5409,1,0],[1,5386,5450,1,0],[0,5409,5473,1,0],[1,5450,5514,1,0],[1,5514,5578,1,0],[0,5537,5601,1,0],[1,5578,5642,1,0],[1,5642,5706,1,0],[0,5665,5729,1,0],[0,5729,5793,1,0],[0,5793,5857,1,0],[0,5857,5921,1,0],[0,5921,5985,1,0]],[[0,13,77,1,0],[0,77,141,1,0],[0,141,173,1,0],[1,150,214,1,0],[0,183,247,1,0],[0,251,315,1,0],[1,255,319,1,0],[0,322,354,1,0],[1,325,389,1,0],[0,354,386,1,0],[0,386,418,1,0],[0,418,482,1,0],[1,438,502,1,0],[0,482,546,1,0],[1,543,607,1,0],[0,546,610,1,0],[0,611,675,1,0],[0,675,739,1,0],[1,694,758,1,0],[0,739,803,1,0],[1,758,822,1,0],[0,803,867,1,0],[0,867,931,1,0],[1,877,941,1,0],[0,931,963,1,0],[0,963,1027,1,0],[1,982,1046,1,0],[0,1027,1091,1,0],[1,1078,1142,1,0],[0,1110,1142,1,0],[0,1142,1206,1,0],[1,1197,1261,1,0],[0,1206,1270,1,0],[1,1270,1334,1,0],[0,1271,1303,1,0],[0,1303,1335,1,0],[0,1335,1399,1,0],[1,1389,1453,1,0],[0,1399,1463,1,0],[1,1462,1526,1,0],[0,1463,1527,1,0],[0,1527,1591,1,0],[1,1581,1645,1,0],[0,1591,1623,1,0],[0,1623,1687,1,0],[1,1665,1729,1,0],[0,1687,1751,1,0],[0,1751,1783,1,0],[1,1761,1825,1,0],[0,1783,1815,1,0],[0,1815,1847,1,0],[1,1825,1889,1,0],[0,1847,1879,1,0],[0,1879,1911,1,0],[1,1910,1974,1,0],[0,1911,1943,1,0],[0,1943,1975,1,0],[0,1975,2039,1,0],[1,2029,2093,1,0],[0,2039,2103,1,0],[0,2103,2167,1,0],[1,2115,2179,1,0],[0,2167,2231,1,0],[1,2179,2243,1,0],[0,2231,2295,1,0],[1,2243,2307,1,0],[0,2295,2359,1,0],[1,2307,2371,1,0],[0,2359,2423,1,0],[1,2371,2435,1,0],[0,2423,2487,1,0],[1,2435,2499,1,0],[0,2487,2551,1,0],[1,2499,2563,1,0],[0,2551,2615,1,0],[1,2563,2627,1,0],[0,2615,2679,1,0],[1,2627,2691,1,0],[1,2691,2755,1,0],[0,2692,2756,1,0],[1,2755,2819,1,0],[0,2756,2820,1,0],[1,2819,2883,1,0],[0,2820,2884,1,0],[1,2883,2947,1,0],[0,2884,2948,1,0],[0,2948,3012,1,0],[1,2989,3053,1,0],[0,3012,3076,1,0],[1,3054,3118,1,0],[0,3140,3204,1,0],[1,3158,3222,1,0],[0,3204,3268,1,0],[1,3245,3309,1,0],[0,3268,3332,1,0],[1,3310,3374,1,0],[0,3332,3396,1,0],[1,3374,3438,1,0],[0,3396,3460,1,0],[1,3438,3502,1,0],[0,3460,3524,1,0],[1,3502,3566,1,0],[0,3524,3588,1,0],[1,3566,3630,1,0],[0,3588,3652,1,0],[1,3630,3694,1,0],[0,3652,3716,1,0],[1,3694,3758,1,0],[0,3716,3780,1,0],[1,3758,3822,1,0],[0,3780,3844,1,0],[1,3822,3886,1,0],[0,3844,3908,1,0],[1,3894,3958,1,0],[0,3908,3972,1,0],[0,3972,4036,1,0],[1,4014,4078,1,0],[0,4036,4100,1,0],[1,4078,4142,1,0],[0,4100,4164,1,0],[1,4142,4206,1,0],[0,4164,4228,1,0],[1,4206,4270,1,0],[1,4270,4334,1,0],[0,4292,4356,1,0],[1,4334,4398,1,0],[0,4356,4420,1,0],[1,4406,4470,1,0],[0,4420,4484,1,0],[0,4484,4548,1,0],[1,4526,4590,1,0],[0,4612,4676,1,0],[1,4656,4720,1,0],[0,4676,4740,1,0],[1,4720,4784,1,0],[0,4740,4804,1,0],[1,4784,4848,1,0],[0,4804,4868,1,0],[1,4848,4912,1,0],[0,4868,4932,1,0],[1,4912,4976,1,0],[0,4932,4996,1,0],[1,4976,5040,1,0],[0,4996,5060,1,0],[1,5040,5104,1,0],[0,5060,5124,1,0],[1,5104,5168,1,0],[0,5124,5188,1,0],[1,5168,5232,1,0],[0,5188,5252,1,0],[1,5232,5296,1,0],[0,5252,5316,1,0],[1,5296,5360,1,0],[0,5316,5380,1,0],[1,5360,5424,1,0],[0,5444,5508,1,0],[1,5486,5550,1,0],[0,5508,5572,1,0],[1,5550,5614,1,0],[0,5574,5638,1,0],[1,5614,5678,1,0],[0,5638,5702,1,0],[1,5678,5742,1,0],[1,5742,5806,1,0],[0,5766,5830,1,0],[1,5806,5870,1,0],[1,5870,5934,1,0],[0,5958,6022,1,0],[1,5998,6062,1,0],[0,6150,6214,1,0],[0,6342,6406,1,0],[0,6470,6534,1,0]],[[0,12,76,1,0],[1,71,135,1,0],[0,101,165,1,0],[1,135,199,1,0],[0,174,238,1,0],[1,218,282,1,0],[0,238,302,1,0],[1,282,346,1,0],[0,302,366,1,0],[1,346,410,1,0],[0,366,430,1,0],[1,410,474,1,0],[0,430,462,1,0],[0,462,526,1,0],[1,474,538,1,0],[0,526,590,1,0],[1,538,602,1,0],[0,590,654,1,0],[1,602,666,1,0],[0,654,718,1,0],[1,666,730,1,0],[0,718,782,1,0],[1,730,794,1,0],[0,782,846,1,0],[1,794,858,1,0],[0,846,910,1,0],[1,858,922,1,0],[0,910,974,1,0],[1,922,986,1,0],[0,974,1038,1,0],[1,986,1050,1,0],[0,1038,1102,1,0],[1,1050,1114,1,0],[0,1102,1166,1,0],[1,1114,1178,1,0],[0,1166,1230,1,0],[1,1178,1242,1,0],[0,1230,1294,1,0],[1,1242,1306,1,0],[0,1294,1358,1,0],[1,1306,1370,1,0],[0,1358,1422,1,0],[1,1370,1434,1,0],[0,1422,1486,1,0],[1,1434,1498,1,0],[0,1493,1557,1,0],[1,1498,1562,1,0],[0,1557,1621,1,0],[1,1562,1626,1,0],[0,1621,1685,1,0],[1,1626,1690,1,0],[1,1690,1754,1,0],[0,1710,1774,1,0],[1,1754,1818,1,0],[0,1774,1838,1,0],[1,1818,1882,1,0],[0,1838,1902,1,0],[1,1882,1946,1,0],[0,1902,1966,1,0],[1,1946,2010,1,0],[0,1966,2030,1,0],[1,2010,2074,1,0],[0,2030,2094,1,0],[1,2074,2138,1,0],[0,2094,2158,1,0],[1,2138,2202,1,0],[0,2158,2222,1,0],[1,2202,2266,1,0],[0,2222,2286,1,0],[1,2266,2330,1,0],[0,2286,2350,1,0],[1,2330,2394,1,0],[0,2350,2414,1,0],[1,2394,2458,1,0],[0,2414,2478,1,0],[1,2458,2522,1,0],[0,2478,2542,1,0],[1,2522,2586,1,0],[0,2542,2606,1,0],[1,2586,2650,1,0],[0,2606,2670,1,0],[1,2650,2714,1,0],[0,2670,2734,1,0],[1,2714,2778,1,0],[0,2734,2798,1,0],[1,2778,2842,1,0],[0,2798,2862,1,0],[1,2849,2913,1,0],[0,2862,2926,1,0],[0,2926,2990,1,0],[1,2939,3003,1,0],[0,2990,3054,1,0],[1,3003,3067,1,0],[0,3054,3118,1,0],[1,3067,3131,1,0],[0,3126,3190,1,0],[1,3131,3195,1,0],[0,3190,3254,1,0],[1,3195,3259,1,0],[0,3254,3318,1,0],[1,3262,3326,1,0],[0,3318,3382,1,0],[1,3326,3390,1,0],[0,3382,3446,1,0],[1,3390,3454,1,0],[0,3446,3510,1,0],[1,3454,3518,1,0],[0,3510,3574,1,0],[1,3518,3582,1,0],[0,3574,3638,1,0],[1,3582,3646,1,0],[0,3638,3702,1,0],[1,3646,3710,1,0],[0,3702,3766,1,0],[1,3713,3777,1,0],[0,3766,3830,1,0],[1,3779,3843,1,0],[0,3830,3894,1,0],[1,3845,3909,1,0],[0,3894,3958,1,0],[1,3909,3973,1,0],[0,3958,4022,1,0],[1,3973,4037,1,0],[0,4022,4086,1,0],[1,4037,4101,1,0],[0,4086,4150,1,0],[1,4103,4167,1,0],[0,4150,4214,1,0],[1,4167,4231,1,0],[0,4224,4256,1,0],[0,4256,4288,1,0],[1,4261,4325,1,0],[0,4288,4352,1,0],[1,4325,4389,1,0],[0,4352,4416,1,0],[1,4389,4453,1,0],[0,4416,4480,1,0],[0,4480,4544,1,0],[1,4489,4553,1,0],[0,4544,4576,1,0],[1,4585,4649,1,0],[0,4640,4704,1,0],[1,4681,4745,1,0],[0,4704,4736,1,0],[0,4736,4800,1,0],[1,4773,4837,1,0],[0,4800,4832,1,0],[0,4832,4864,1,0],[1,4842,4906,1,0],[0,4864,4896,1,0],[0,4896,4928,1,0],[1,4906,4970,1,0],[0,4928,4960,1,0],[0,4960,4992,1,0],[1,4970,5034,1,0],[0,4992,5056,1,0],[1,5034,5098,1,0],[0,5056,5088,1,0],[0,5088,5152,1,0],[1,5098,5162,1,0],[0,5152,5184,1,0],[1,5162,5226,1,0],[0,5184,5248,1,0],[1,5226,5290,1,0],[0,5248,5280,1,0],[0,5280,5344,1,0],[1,5290,5354,1,0],[0,5344,5376,1,0],[1,5354,5418,1,0],[0,5376,5440,1,0],[0,5504,5568,1,0],[0,5632,5696,1,0],[0,5760,5824,1,0],[0,5824,5888,1,0],[0,5888,5952,1,0],[0,6528,6560,1,0]]]