N=100;
M=100;
height=[|8000,7999,7998,7997,7996,7995,7994,7993,7992,7991,7990,7989,7988,7987,7986,7985,7984,7983,7982,7981,7980,7979,7978,7977,7976,7975,7974,7973,7972,7971,7970,7969,7968,7967,7966,7965,7964,7963,7962,7961,7960,7959,7958,7957,7956,7955,7954,7953,7952,7951,7950,7949,7948,7947,7946,7945,7944,7943,7942,7941,7940,7939,7938,7937,7936,7935,7934,7933,7932,7931,7930,7929,7928,7927,7926,7925,7924,7923,7922,7921,1,5031,5076,5045,5040,5020,5048,5020,5017,5053,5059,5078,5009,5026,1,300,1,1,1,1|
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7514,7513,7512,7511,7510,7509,7508,7507,7506,7505,7504,7503,7502,7501,7500,7499,7498,7497,7496,7495,7494,7493,7492,7491,7490,7489,7488,7487,7486,7485,7484,7483,7482,7481,7480,7479,7478,7477,7476,7475,7474,7473,7472,7471,7470,7469,7468,7467,7466,7465,7464,7463,7462,7461,7460,7459,7458,7457,7456,7455,7454,7453,7452,7451,7450,7449,7448,7447,7446,7445,7444,7443,7442,7441,7440,7439,7438,7437,7436,7435,1,4410,4440,4499,4403,4404,4430,4491,4478,4443,4435,4408,4435,4423,1,288,1,116,1,92|
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6868,6869,6870,6871,6872,6873,6874,6875,6876,6877,6878,6879,6880,6881,6882,6883,6884,6885,6886,6887,6888,6889,6890,6891,6892,6893,6894,6895,6896,6897,6898,6899,6900,6901,6902,6903,6904,6905,6906,6907,6908,6909,6910,6911,6912,6913,6914,6915,6916,6917,6918,6919,6920,6921,6922,6923,6924,6925,6926,6927,6928,6929,6930,6931,6932,6933,6934,6935,6936,6937,6938,6939,6940,6941,6942,6943,6944,6945,6946,6947,1,3794,3731,3714,3771,3781,3703,3718,3732,3796,3777,3763,3744,3799,1,274,1,130,1,78|
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6706,6707,6708,6709,6710,6711,6712,6713,6714,6715,6716,6717,6718,6719,6720,6721,6722,6723,6724,6725,6726,6727,6728,6729,6730,6731,6732,6733,6734,6735,6736,6737,6738,6739,6740,6741,6742,6743,6744,6745,6746,6747,6748,6749,6750,6751,6752,6753,6754,6755,6756,6757,6758,6759,6760,6761,6762,6763,6764,6765,6766,6767,6768,6769,6770,6771,6772,6773,6774,6775,6776,6777,6778,6779,6780,6781,6782,6783,6784,6785,1,3531,3583,3572,3576,3552,3566,3542,3504,3596,3516,3501,3513,3594,1,270,1,134,1,74|
6705,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3500,3506,3460,3548,3510,3540,3545,3520,3491,3548,3496,3458,3494,1,269,1,135,1,73|
6704,6703,6702,6701,6700,6699,6698,6697,6696,6695,6694,6693,6692,6691,6690,6689,6688,6687,6686,6685,6684,6683,6682,6681,6680,6679,6678,6677,6676,6675,6674,6673,6672,6671,6670,6669,6668,6667,6666,6665,6664,6663,6662,6661,6660,6659,6658,6657,6656,6655,6654,6653,6652,6651,6650,6649,6648,6647,6646,6645,6644,6643,6642,6641,6640,6639,6638,6637,6636,6635,6634,6633,6632,6631,6630,6629,6628,6627,6626,6625,1,3459,3443,3445,3467,3401,3421,3423,3440,3456,3495,3440,3426,3448,1,268,1,136,1,72|
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6624,1,3415,3448,3394,3361,3436,3350,3397,3415,3436,3354,3425,3396,3366,1,267,1,137,1,71|
6544,6545,6546,6547,6548,6549,6550,6551,6552,6553,6554,6555,6556,6557,6558,6559,6560,6561,6562,6563,6564,6565,6566,6567,6568,6569,6570,6571,6572,6573,6574,6575,6576,6577,6578,6579,6580,6581,6582,6583,6584,6585,6586,6587,6588,6589,6590,6591,6592,6593,6594,6595,6596,6597,6598,6599,6600,6601,6602,6603,6604,6605,6606,6607,6608,6609,6610,6611,6612,6613,6614,6615,6616,6617,6618,6619,6620,6621,6622,6623,1,3309,3393,3315,3327,3309,3382,3346,3307,3304,3391,3328,3324,3316,1,266,1,138,1,70|
6543,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3316,3315,3304,3274,3349,3319,3349,3257,3270,3321,3290,3326,3319,1,265,1,139,1,69|
6542,6541,6540,6539,6538,6537,6536,6535,6534,6533,6532,6531,6530,6529,6528,6527,6526,6525,6524,6523,6522,6521,6520,6519,6518,6517,6516,6515,6514,6513,6512,6511,6510,6509,6508,6507,6506,6505,6504,6503,6502,6501,6500,6499,6498,6497,6496,6495,6494,6493,6492,6491,6490,6489,6488,6487,6486,6485,6484,6483,6482,6481,6480,6479,6478,6477,6476,6475,6474,6473,6472,6471,6470,6469,6468,6467,6466,6465,6464,6463,1,3235,3283,3226,3257,3258,3262,3247,3237,3252,3259,3237,3207,3240,1,264,1,140,1,68|
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6462,1,3247,3235,3184,3196,3225,3222,3171,3187,3195,3223,3247,3179,3244,1,263,1,141,1,67|
6382,6383,6384,6385,6386,6387,6388,6389,6390,6391,6392,6393,6394,6395,6396,6397,6398,6399,6400,6401,6402,6403,6404,6405,6406,6407,6408,6409,6410,6411,6412,6413,6414,6415,6416,6417,6418,6419,6420,6421,6422,6423,6424,6425,6426,6427,6428,6429,6430,6431,6432,6433,6434,6435,6436,6437,6438,6439,6440,6441,6442,6443,6444,6445,6446,6447,6448,6449,6450,6451,6452,6453,6454,6455,6456,6457,6458,6459,6460,6461,1,3128,3140,3164,3138,3176,3120,3102,3165,3196,3187,3124,3182,3149,1,262,1,142,1,66|
6381,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3067,3057,3134,3065,3057,3145,3081,3073,3074,3099,3120,3141,3082,1,261,1,143,1,65|
6380,6379,6378,6377,6376,6375,6374,6373,6372,6371,6370,6369,6368,6367,6366,6365,6364,6363,6362,6361,6360,6359,6358,6357,6356,6355,6354,6353,6352,6351,6350,6349,6348,6347,6346,6345,6344,6343,6342,6341,6340,6339,6338,6337,6336,6335,6334,6333,6332,6331,6330,6329,6328,6327,6326,6325,6324,6323,6322,6321,6320,6319,6318,6317,6316,6315,6314,6313,6312,6311,6310,6309,6308,6307,6306,6305,6304,6303,6302,6301,1,3094,3030,3048,3010,3077,3054,3073,3060,3092,3007,3057,3038,3059,1,260,1,144,1,64|
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6300,1,3032,3023,3044,2968,3024,2993,2996,2985,3017,3019,2992,2986,3022,1,259,1,145,1,63|
6220,6221,6222,6223,6224,6225,6226,6227,6228,6229,6230,6231,6232,6233,6234,6235,6236,6237,6238,6239,6240,6241,6242,6243,6244,6245,6246,6247,6248,6249,6250,6251,6252,6253,6254,6255,6256,6257,6258,6259,6260,6261,6262,6263,6264,6265,6266,6267,6268,6269,6270,6271,6272,6273,6274,6275,6276,6277,6278,6279,6280,6281,6282,6283,6284,6285,6286,6287,6288,6289,6290,6291,6292,6293,6294,6295,6296,6297,6298,6299,1,2924,2944,2904,2966,2928,2985,2992,2953,2978,2927,2996,2996,2950,1,258,1,146,1,62|
6219,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2929,2944,2932,2925,2944,2897,2863,2863,2867,2921,2937,2862,2907,1,257,1,147,1,61|
6218,6217,6216,6215,6214,6213,6212,6211,6210,6209,6208,6207,6206,6205,6204,6203,6202,6201,6200,6199,6198,6197,6196,6195,6194,6193,6192,6191,6190,6189,6188,6187,6186,6185,6184,6183,6182,6181,6180,6179,6178,6177,6176,6175,6174,6173,6172,6171,6170,6169,6168,6167,6166,6165,6164,6163,6162,6161,6160,6159,6158,6157,6156,6155,6154,6153,6152,6151,6150,6149,6148,6147,6146,6145,6144,6143,6142,6141,6140,6139,1,2857,2811,2841,2832,2859,2848,2869,2803,2848,2836,2800,2895,2885,1,256,1,148,1,60|
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6138,1,2831,2773,2797,2840,2772,2810,2822,2780,2849,2832,2788,2834,2782,1,255,1,149,1,59|
6058,6059,6060,6061,6062,6063,6064,6065,6066,6067,6068,6069,6070,6071,6072,6073,6074,6075,6076,6077,6078,6079,6080,6081,6082,6083,6084,6085,6086,6087,6088,6089,6090,6091,6092,6093,6094,6095,6096,6097,6098,6099,6100,6101,6102,6103,6104,6105,6106,6107,6108,6109,6110,6111,6112,6113,6114,6115,6116,6117,6118,6119,6120,6121,6122,6123,6124,6125,6126,6127,6128,6129,6130,6131,6132,6133,6134,6135,6136,6137,1,2761,2762,2739,2715,2796,2769,2783,2776,2772,2729,2759,2715,2710,1,254,1,150,1,58|
6057,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2733,2701,2707,2712,2724,2675,2694,2748,2722,2730,2675,2690,2713,1,253,1,151,1,57|
6056,6055,6054,6053,6052,6051,6050,6049,6048,6047,6046,6045,6044,6043,6042,6041,6040,6039,6038,6037,6036,6035,6034,6033,6032,6031,6030,6029,6028,6027,6026,6025,6024,6023,6022,6021,6020,6019,6018,6017,6016,6015,6014,6013,6012,6011,6010,6009,6008,6007,6006,6005,6004,6003,6002,6001,6000,5999,5998,5997,5996,5995,5994,5993,5992,5991,5990,5989,5988,5987,5986,5985,5984,5983,5982,5981,5980,5979,5978,5977,1,2659,2607,2621,2688,2699,2665,2644,2696,2612,2671,2664,2668,2680,1,252,1,152,1,56|
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5976,1,2575,2569,2610,2620,2557,2636,2594,2559,2623,2568,2618,2576,2609,1,251,1,153,1,55|
5974,5975,5976,1,6072,6073,6074,1,6170,6171,6172,1,6268,6269,6270,1,6366,6367,6368,1,6464,6465,6466,1,6562,6563,6564,1,6660,6661,6662,1,6758,6759,6760,1,6856,6857,6858,1,6954,6955,6956,1,7052,7053,7054,1,7150,7151,7152,1,7248,7249,7250,1,7346,7347,7348,1,7444,7445,7446,1,7542,7543,7544,1,7640,7641,7642,1,7738,7739,7740,1,7836,7837,1,5975,1,2551,2505,2505,2522,2575,2544,2529,2580,2542,2571,2577,2504,2504,1,250,1,154,1,54|
5973,1,5977,1,6071,1,6075,1,6169,1,6173,1,6267,1,6271,1,6365,1,6369,1,6463,1,6467,1,6561,1,6565,1,6659,1,6663,1,6757,1,6761,1,6855,1,6859,1,6953,1,6957,1,7051,1,7055,1,7149,1,7153,1,7247,1,7251,1,7345,1,7349,1,7443,1,7447,1,7541,1,7545,1,7639,1,7643,1,7737,1,7741,1,7835,1,1,5974,1,2470,2518,2510,2529,2467,2498,2450,2458,2531,2539,2518,2473,2478,1,249,1,155,1,53|
5972,1,5978,1,6070,1,6076,1,6168,1,6174,1,6266,1,6272,1,6364,1,6370,1,6462,1,6468,1,6560,1,6566,1,6658,1,6664,1,6756,1,6762,1,6854,1,6860,1,6952,1,6958,1,7050,1,7056,1,7148,1,7154,1,7246,1,7252,1,7344,1,7350,1,7442,1,7448,1,7540,1,7546,1,7638,1,7644,1,7736,1,7742,1,7834,1,1,5973,1,2440,2432,2445,2461,2462,2466,2466,2407,2408,2466,2483,2432,2473,1,248,1,156,1,52|
5971,1,5979,1,6069,1,6077,1,6167,1,6175,1,6265,1,6273,1,6363,1,6371,1,6461,1,6469,1,6559,1,6567,1,6657,1,6665,1,6755,1,6763,1,6853,1,6861,1,6951,1,6959,1,7049,1,7057,1,7147,1,7155,1,7245,1,7253,1,7343,1,7351,1,7441,1,7449,1,7539,1,7547,1,7637,1,7645,1,7735,1,7743,1,7833,1,1,5972,1,2351,2428,2380,2373,2354,2390,2364,2369,2441,2381,2434,2370,2440,1,247,1,157,1,51|
5970,1,5980,1,6068,1,6078,1,6166,1,6176,1,6264,1,6274,1,6362,1,6372,1,6460,1,6470,1,6558,1,6568,1,6656,1,6666,1,6754,1,6764,1,6852,1,6862,1,6950,1,6960,1,7048,1,7058,1,7146,1,7156,1,7244,1,7254,1,7342,1,7352,1,7440,1,7450,1,7538,1,7548,1,7636,1,7646,1,7734,1,7744,1,7832,1,1,5971,1,2380,2356,2300,2346,2346,2339,2353,2353,2386,2366,2349,2329,2331,1,246,1,158,1,50|
5969,1,5981,1,6067,1,6079,1,6165,1,6177,1,6263,1,6275,1,6361,1,6373,1,6459,1,6471,1,6557,1,6569,1,6655,1,6667,1,6753,1,6765,1,6851,1,6863,1,6949,1,6961,1,7047,1,7059,1,7145,1,7157,1,7243,1,7255,1,7341,1,7353,1,7439,1,7451,1,7537,1,7549,1,7635,1,7647,1,7733,1,7745,1,7831,1,1,5970,1,2296,2341,2336,2298,2270,2293,2338,2326,2299,2315,2259,2256,2300,1,245,1,159,1,49|
5968,1,5982,1,6066,1,6080,1,6164,1,6178,1,6262,1,6276,1,6360,1,6374,1,6458,1,6472,1,6556,1,6570,1,6654,1,6668,1,6752,1,6766,1,6850,1,6864,1,6948,1,6962,1,7046,1,7060,1,7144,1,7158,1,7242,1,7256,1,7340,1,7354,1,7438,1,7452,1,7536,1,7550,1,7634,1,7648,1,7732,1,7746,1,7830,1,1,5969,1,2245,2203,2250,2283,2246,2222,2224,2215,2269,2245,2281,2280,2295,1,244,1,160,1,48|
5967,1,5983,1,6065,1,6081,1,6163,1,6179,1,6261,1,6277,1,6359,1,6375,1,6457,1,6473,1,6555,1,6571,1,6653,1,6669,1,6751,1,6767,1,6849,1,6865,1,6947,1,6963,1,7045,1,7061,1,7143,1,7159,1,7241,1,7257,1,7339,1,7355,1,7437,1,7453,1,7535,1,7551,1,7633,1,7649,1,7731,1,7747,1,7829,1,1,5968,1,2212,2182,2166,2151,2214,2231,2201,2151,2183,2214,2223,2208,2228,1,243,1,161,1,47|
5966,1,5984,1,6064,1,6082,1,6162,1,6180,1,6260,1,6278,1,6358,1,6376,1,6456,1,6474,1,6554,1,6572,1,6652,1,6670,1,6750,1,6768,1,6848,1,6866,1,6946,1,6964,1,7044,1,7062,1,7142,1,7160,1,7240,1,7258,1,7338,1,7356,1,7436,1,7454,1,7534,1,7552,1,7632,1,7650,1,7730,1,7748,1,7828,1,1,5967,1,2128,2167,2119,2190,2129,2192,2156,2109,2105,2161,2170,2125,2190,1,242,1,162,1,46|
5965,1,5985,1,6063,1,6083,1,6161,1,6181,1,6259,1,6279,1,6357,1,6377,1,6455,1,6475,1,6553,1,6573,1,6651,1,6671,1,6749,1,6769,1,6847,1,6867,1,6945,1,6965,1,7043,1,7063,1,7141,1,7161,1,7239,1,7259,1,7337,1,7357,1,7435,1,7455,1,7533,1,7553,1,7631,1,7651,1,7729,1,7749,1,7827,1,1,5966,1,2071,2127,2145,2116,2119,2092,2054,2122,2094,2055,2120,2140,2050,1,241,1,163,1,45|
5964,1,5986,1,6062,1,6084,1,6160,1,6182,1,6258,1,6280,1,6356,1,6378,1,6454,1,6476,1,6552,1,6574,1,6650,1,6672,1,6748,1,6770,1,6846,1,6868,1,6944,1,6966,1,7042,1,7064,1,7140,1,7162,1,7238,1,7260,1,7336,1,7358,1,7434,1,7456,1,7532,1,7554,1,7630,1,7652,1,7728,1,7750,1,7826,1,1,5965,1,2043,2085,2043,2093,2031,2054,2099,2047,2063,2010,2056,2062,2012,1,240,1,164,1,44|
5963,1,5987,1,6061,1,6085,1,6159,1,6183,1,6257,1,6281,1,6355,1,6379,1,6453,1,6477,1,6551,1,6575,1,6649,1,6673,1,6747,1,6771,1,6845,1,6869,1,6943,1,6967,1,7041,1,7065,1,7139,1,7163,1,7237,1,7261,1,7335,1,7359,1,7433,1,7457,1,7531,1,7555,1,7629,1,7653,1,7727,1,7751,1,7825,1,1,5964,1,2035,1976,2045,1988,1986,2021,2039,2032,2043,1990,2035,2042,1957,1,239,1,165,1,43|
5962,1,5988,1,6060,1,6086,1,6158,1,6184,1,6256,1,6282,1,6354,1,6380,1,6452,1,6478,1,6550,1,6576,1,6648,1,6674,1,6746,1,6772,1,6844,1,6870,1,6942,1,6968,1,7040,1,7066,1,7138,1,7164,1,7236,1,7262,1,7334,1,7360,1,7432,1,7458,1,7530,1,7556,1,7628,1,7654,1,7726,1,7752,1,7824,1,1,5963,1,1936,1994,1979,1924,1929,1934,1941,1998,1967,1904,1982,1955,1917,1,238,1,166,1,42|
5961,1,5989,1,6059,1,6087,1,6157,1,6185,1,6255,1,6283,1,6353,1,6381,1,6451,1,6479,1,6549,1,6577,1,6647,1,6675,1,6745,1,6773,1,6843,1,6871,1,6941,1,6969,1,7039,1,7067,1,7137,1,7165,1,7235,1,7263,1,7333,1,7361,1,7431,1,7459,1,7529,1,7557,1,7627,1,7655,1,7725,1,7753,1,7823,1,1,5962,1,1938,1862,1922,1872,1906,1902,1948,1891,1861,1908,1862,1872,1910,1,237,1,167,1,41|
5960,1,5990,1,6058,1,6088,1,6156,1,6186,1,6254,1,6284,1,6352,1,6382,1,6450,1,6480,1,6548,1,6578,1,6646,1,6676,1,6744,1,6774,1,6842,1,6872,1,6940,1,6970,1,7038,1,7068,1,7136,1,7166,1,7234,1,7264,1,7332,1,7362,1,7430,1,7460,1,7528,1,7558,1,7626,1,7656,1,7724,1,7754,1,7822,1,1,5961,1,1883,1899,1828,1878,1856,1869,1814,1876,1800,1862,1811,1843,1892,1,236,1,168,1,40|
5959,1,5991,1,6057,1,6089,1,6155,1,6187,1,6253,1,6285,1,6351,1,6383,1,6449,1,6481,1,6547,1,6579,1,6645,1,6677,1,6743,1,6775,1,6841,1,6873,1,6939,1,6971,1,7037,1,7069,1,7135,1,7167,1,7233,1,7265,1,7331,1,7363,1,7429,1,7461,1,7527,1,7559,1,7625,1,7657,1,7723,1,7755,1,7821,1,1,5960,1,1761,1766,1807,1777,1779,1805,1778,1765,1786,1796,1819,1752,1756,1,235,1,169,1,39|
5958,1,5992,1,6056,1,6090,1,6154,1,6188,1,6252,1,6286,1,6350,1,6384,1,6448,1,6482,1,6546,1,6580,1,6644,1,6678,1,6742,1,6776,1,6840,1,6874,1,6938,1,6972,1,7036,1,7070,1,7134,1,7168,1,7232,1,7266,1,7330,1,7364,1,7428,1,7462,1,7526,1,7560,1,7624,1,7658,1,7722,1,7756,1,7820,1,1,5959,1,1744,1713,1785,1708,1745,1724,1711,1752,1761,1709,1702,1767,1744,1,234,1,170,1,38|
5957,1,5993,1,6055,1,6091,1,6153,1,6189,1,6251,1,6287,1,6349,1,6385,1,6447,1,6483,1,6545,1,6581,1,6643,1,6679,1,6741,1,6777,1,6839,1,6875,1,6937,1,6973,1,7035,1,7071,1,7133,1,7169,1,7231,1,7267,1,7329,1,7365,1,7427,1,7463,1,7525,1,7561,1,7623,1,7659,1,7721,1,7757,1,7819,1,1,5958,1,1685,1693,1709,1705,1687,1718,1657,1665,1661,1695,1711,1657,1730,1,233,1,171,1,37|
5956,1,5994,1,6054,1,6092,1,6152,1,6190,1,6250,1,6288,1,6348,1,6386,1,6446,1,6484,1,6544,1,6582,1,6642,1,6680,1,6740,1,6778,1,6838,1,6876,1,6936,1,6974,1,7034,1,7072,1,7132,1,7170,1,7230,1,7268,1,7328,1,7366,1,7426,1,7464,1,7524,1,7562,1,7622,1,7660,1,7720,1,7758,1,7818,1,1,5957,1,1612,1620,1642,1608,1651,1694,1673,1665,1660,1685,1603,1612,1603,1,232,1,172,1,36|
5955,1,5995,1,6053,1,6093,1,6151,1,6191,1,6249,1,6289,1,6347,1,6387,1,6445,1,6485,1,6543,1,6583,1,6641,1,6681,1,6739,1,6779,1,6837,1,6877,1,6935,1,6975,1,7033,1,7073,1,7131,1,7171,1,7229,1,7269,1,7327,1,7367,1,7425,1,7465,1,7523,1,7563,1,7621,1,7661,1,7719,1,7759,1,7817,1,1,5956,1,1644,1633,1614,1582,1593,1557,1630,1553,1627,1556,1620,1565,1606,1,231,1,173,1,35|
5954,1,5996,1,6052,1,6094,1,6150,1,6192,1,6248,1,6290,1,6346,1,6388,1,6444,1,6486,1,6542,1,6584,1,6640,1,6682,1,6738,1,6780,1,6836,1,6878,1,6934,1,6976,1,7032,1,7074,1,7130,1,7172,1,7228,1,7270,1,7326,1,7368,1,7424,1,7466,1,7522,1,7564,1,7620,1,7662,1,7718,1,7760,1,7816,1,1,5955,1,1596,1585,1571,1525,1536,1507,1575,1570,1543,1518,1548,1542,1542,1,230,1,174,1,34|
5953,1,5997,1,6051,1,6095,1,6149,1,6193,1,6247,1,6291,1,6345,1,6389,1,6443,1,6487,1,6541,1,6585,1,6639,1,6683,1,6737,1,6781,1,6835,1,6879,1,6933,1,6977,1,7031,1,7075,1,7129,1,7173,1,7227,1,7271,1,7325,1,7369,1,7423,1,7467,1,7521,1,7565,1,7619,1,7663,1,7717,1,7761,1,7815,1,1,5954,1,1541,1465,1506,1539,1539,1451,1458,1462,1512,1534,1485,1476,1469,1,229,1,175,1,33|
5952,1,5998,1,6050,1,6096,1,6148,1,6194,1,6246,1,6292,1,6344,1,6390,1,6442,1,6488,1,6540,1,6586,1,6638,1,6684,1,6736,1,6782,1,6834,1,6880,1,6932,1,6978,1,7030,1,7076,1,7128,1,7174,1,7226,1,7272,1,7324,1,7370,1,7422,1,7468,1,7520,1,7566,1,7618,1,7664,1,7716,1,7762,1,7814,1,1,5953,1,1404,1477,1491,1403,1435,1488,1484,1490,1412,1465,1400,1456,1498,1,228,1,176,1,32|
5951,1,5999,1,6049,1,6097,1,6147,1,6195,1,6245,1,6293,1,6343,1,6391,1,6441,1,6489,1,6539,1,6587,1,6637,1,6685,1,6735,1,6783,1,6833,1,6881,1,6931,1,6979,1,7029,1,7077,1,7127,1,7175,1,7225,1,7273,1,7323,1,7371,1,7421,1,7469,1,7519,1,7567,1,7617,1,7665,1,7715,1,7763,1,7813,1,1,5952,1,1371,1418,1415,1426,1357,1423,1352,1420,1430,1406,1445,1351,1376,1,227,1,177,1,31|
5950,1,6000,1,6048,1,6098,1,6146,1,6196,1,6244,1,6294,1,6342,1,6392,1,6440,1,6490,1,6538,1,6588,1,6636,1,6686,1,6734,1,6784,1,6832,1,6882,1,6930,1,6980,1,7028,1,7078,1,7126,1,7176,1,7224,1,7274,1,7322,1,7372,1,7420,1,7470,1,7518,1,7568,1,7616,1,7666,1,7714,1,7764,1,7812,1,1,5951,1,1314,1305,1389,1348,1374,1342,1333,1301,1320,1333,1322,1385,1324,1,226,1,178,1,30|
5949,1,6001,1,6047,1,6099,1,6145,1,6197,1,6243,1,6295,1,6341,1,6393,1,6439,1,6491,1,6537,1,6589,1,6635,1,6687,1,6733,1,6785,1,6831,1,6883,1,6929,1,6981,1,7027,1,7079,1,7125,1,7177,1,7223,1,7275,1,7321,1,7373,1,7419,1,7471,1,7517,1,7569,1,7615,1,7667,1,7713,1,7765,1,7811,1,1,5950,1,1327,1262,1279,1342,1262,1332,1324,1267,1255,1306,1299,1349,1328,1,225,1,179,1,29|
5948,1,6002,1,6046,1,6100,1,6144,1,6198,1,6242,1,6296,1,6340,1,6394,1,6438,1,6492,1,6536,1,6590,1,6634,1,6688,1,6732,1,6786,1,6830,1,6884,1,6928,1,6982,1,7026,1,7080,1,7124,1,7178,1,7222,1,7276,1,7320,1,7374,1,7418,1,7472,1,7516,1,7570,1,7614,1,7668,1,7712,1,7766,1,7810,1,1,5949,1,1220,1267,1224,1284,1213,1296,1206,1245,1295,1267,1289,1216,1263,1,224,1,180,1,28|
5947,1,6003,1,6045,1,6101,1,6143,1,6199,1,6241,1,6297,1,6339,1,6395,1,6437,1,6493,1,6535,1,6591,1,6633,1,6689,1,6731,1,6787,1,6829,1,6885,1,6927,1,6983,1,7025,1,7081,1,7123,1,7179,1,7221,1,7277,1,7319,1,7375,1,7417,1,7473,1,7515,1,7571,1,7613,1,7669,1,7711,1,7767,1,7809,1,1,5948,1,1187,1238,1219,1164,1198,1163,1161,1226,1224,1220,1183,1199,1181,1,223,1,181,1,27|
5946,1,6004,1,6044,1,6102,1,6142,1,6200,1,6240,1,6298,1,6338,1,6396,1,6436,1,6494,1,6534,1,6592,1,6632,1,6690,1,6730,1,6788,1,6828,1,6886,1,6926,1,6984,1,7024,1,7082,1,7122,1,7180,1,7220,1,7278,1,7318,1,7376,1,7416,1,7474,1,7514,1,7572,1,7612,1,7670,1,7710,1,7768,1,7808,1,1,5947,1,1121,1178,1132,1190,1131,1174,1183,1121,1137,1117,1124,1121,1122,1,222,1,182,1,26|
5945,1,6005,1,6043,1,6103,1,6141,1,6201,1,6239,1,6299,1,6337,1,6397,1,6435,1,6495,1,6533,1,6593,1,6631,1,6691,1,6729,1,6789,1,6827,1,6887,1,6925,1,6985,1,7023,1,7083,1,7121,1,7181,1,7219,1,7279,1,7317,1,7377,1,7415,1,7475,1,7513,1,7573,1,7611,1,7671,1,7709,1,7769,1,7807,1,1,5946,1,1111,1083,1094,1054,1091,1065,1125,1068,1080,1051,1084,1072,1077,1,221,1,183,1,25|
5944,1,6006,1,6042,1,6104,1,6140,1,6202,1,6238,1,6300,1,6336,1,6398,1,6434,1,6496,1,6532,1,6594,1,6630,1,6692,1,6728,1,6790,1,6826,1,6888,1,6924,1,6986,1,7022,1,7084,1,7120,1,7182,1,7218,1,7280,1,7316,1,7378,1,7414,1,7476,1,7512,1,7574,1,7610,1,7672,1,7708,1,7770,1,7806,1,1,5945,1,1093,1028,1038,1075,1051,1055,1020,1029,1078,1005,1057,1010,1031,1,220,1,184,1,24|
5943,1,6007,1,6041,1,6105,1,6139,1,6203,1,6237,1,6301,1,6335,1,6399,1,6433,1,6497,1,6531,1,6595,1,6629,1,6693,1,6727,1,6791,1,6825,1,6889,1,6923,1,6987,1,7021,1,7085,1,7119,1,7183,1,7217,1,7281,1,7315,1,7379,1,7413,1,7477,1,7511,1,7575,1,7609,1,7673,1,7707,1,7771,1,7805,1,1,5944,1,990,1012,1015,976,983,1004,973,968,984,1005,966,970,1036,1,219,1,185,1,23|
5942,1,6008,1,6040,1,6106,1,6138,1,6204,1,6236,1,6302,1,6334,1,6400,1,6432,1,6498,1,6530,1,6596,1,6628,1,6694,1,6726,1,6792,1,6824,1,6890,1,6922,1,6988,1,7020,1,7086,1,7118,1,7184,1,7216,1,7282,1,7314,1,7380,1,7412,1,7478,1,7510,1,7576,1,7608,1,7674,1,7706,1,7772,1,7804,1,1,5943,1,936,966,923,995,970,926,971,961,956,970,978,992,991,1,218,1,186,1,22|
5941,1,6009,1,6039,1,6107,1,6137,1,6205,1,6235,1,6303,1,6333,1,6401,1,6431,1,6499,1,6529,1,6597,1,6627,1,6695,1,6725,1,6793,1,6823,1,6891,1,6921,1,6989,1,7019,1,7087,1,7117,1,7185,1,7215,1,7283,1,7313,1,7381,1,7411,1,7479,1,7509,1,7577,1,7607,1,7675,1,7705,1,7773,1,7803,1,1,5942,1,859,850,901,888,881,885,906,949,890,874,917,882,918,1,217,1,187,1,21|
5940,1,6010,1,6038,1,6108,1,6136,1,6206,1,6234,1,6304,1,6332,1,6402,1,6430,1,6500,1,6528,1,6598,1,6626,1,6696,1,6724,1,6794,1,6822,1,6892,1,6920,1,6990,1,7018,1,7088,1,7116,1,7186,1,7214,1,7284,1,7312,1,7382,1,7410,1,7480,1,7508,1,7578,1,7606,1,7676,1,7704,1,7774,1,7802,1,1,5941,1,840,838,864,828,869,897,882,816,851,828,839,880,867,1,216,1,188,1,20|
5939,1,6011,1,6037,1,6109,1,6135,1,6207,1,6233,1,6305,1,6331,1,6403,1,6429,1,6501,1,6527,1,6599,1,6625,1,6697,1,6723,1,6795,1,6821,1,6893,1,6919,1,6991,1,7017,1,7089,1,7115,1,7187,1,7213,1,7285,1,7311,1,7383,1,7409,1,7481,1,7507,1,7579,1,7605,1,7677,1,7703,1,7775,1,7801,1,1,5940,1,801,812,783,815,848,836,774,762,770,778,810,826,752,1,215,1,189,1,19|
5938,1,6012,1,6036,1,6110,1,6134,1,6208,1,6232,1,6306,1,6330,1,6404,1,6428,1,6502,1,6526,1,6600,1,6624,1,6698,1,6722,1,6796,1,6820,1,6894,1,6918,1,6992,1,7016,1,7090,1,7114,1,7188,1,7212,1,7286,1,7310,1,7384,1,7408,1,7482,1,7506,1,7580,1,7604,1,7678,1,7702,1,7776,1,7800,1,1,5939,1,790,718,741,718,721,705,730,716,700,764,727,795,739,1,214,1,190,1,18|
5937,1,6013,1,6035,1,6111,1,6133,1,6209,1,6231,1,6307,1,6329,1,6405,1,6427,1,6503,1,6525,1,6601,1,6623,1,6699,1,6721,1,6797,1,6819,1,6895,1,6917,1,6993,1,7015,1,7091,1,7113,1,7189,1,7211,1,7287,1,7309,1,7385,1,7407,1,7483,1,7505,1,7581,1,7603,1,7679,1,7701,1,7777,1,7799,1,1,5938,1,732,728,659,687,709,687,667,680,704,663,694,696,712,1,213,1,191,1,17|
5936,1,6014,1,6034,1,6112,1,6132,1,6210,1,6230,1,6308,1,6328,1,6406,1,6426,1,6504,1,6524,1,6602,1,6622,1,6700,1,6720,1,6798,1,6818,1,6896,1,6916,1,6994,1,7014,1,7092,1,7112,1,7190,1,7210,1,7288,1,7308,1,7386,1,7406,1,7484,1,7504,1,7582,1,7602,1,7680,1,7700,1,7778,1,7798,1,1,5937,1,679,686,619,639,686,624,696,650,677,675,604,657,638,1,212,1,192,1,16|
5935,1,6015,1,6033,1,6113,1,6131,1,6211,1,6229,1,6309,1,6327,1,6407,1,6425,1,6505,1,6523,1,6603,1,6621,1,6701,1,6719,1,6799,1,6817,1,6897,1,6915,1,6995,1,7013,1,7093,1,7111,1,7191,1,7209,1,7289,1,7307,1,7387,1,7405,1,7485,1,7503,1,7583,1,7601,1,7681,1,7699,1,7779,1,7797,1,1,5936,1,578,571,563,613,579,584,579,643,635,623,635,583,565,1,211,1,193,1,15|
5934,1,6016,1,6032,1,6114,1,6130,1,6212,1,6228,1,6310,1,6326,1,6408,1,6424,1,6506,1,6522,1,6604,1,6620,1,6702,1,6718,1,6800,1,6816,1,6898,1,6914,1,6996,1,7012,1,7094,1,7110,1,7192,1,7208,1,7290,1,7306,1,7388,1,7404,1,7486,1,7502,1,7584,1,7600,1,7682,1,7698,1,7780,1,7796,1,1,5935,1,505,515,519,517,567,571,505,509,556,598,589,578,536,1,210,1,194,1,14|
5933,1,6017,1,6031,1,6115,1,6129,1,6213,1,6227,1,6311,1,6325,1,6409,1,6423,1,6507,1,6521,1,6605,1,6619,1,6703,1,6717,1,6801,1,6815,1,6899,1,6913,1,6997,1,7011,1,7095,1,7109,1,7193,1,7207,1,7291,1,7305,1,7389,1,7403,1,7487,1,7501,1,7585,1,7599,1,7683,1,7697,1,7781,1,7795,1,1,5934,1,489,500,454,546,525,547,476,457,462,479,530,485,537,1,209,1,195,1,13|
5932,1,6018,1,6030,1,6116,1,6128,1,6214,1,6226,1,6312,1,6324,1,6410,1,6422,1,6508,1,6520,1,6606,1,6618,1,6704,1,6716,1,6802,1,6814,1,6900,1,6912,1,6998,1,7010,1,7096,1,7108,1,7194,1,7206,1,7292,1,7304,1,7390,1,7402,1,7488,1,7500,1,7586,1,7598,1,7684,1,7696,1,7782,1,7794,1,1,5933,1,469,484,407,420,475,481,402,417,462,473,413,460,432,1,208,1,196,1,12|
5931,1,6019,1,6029,1,6117,1,6127,1,6215,1,6225,1,6313,1,6323,1,6411,1,6421,1,6509,1,6519,1,6607,1,6617,1,6705,1,6715,1,6803,1,6813,1,6901,1,6911,1,6999,1,7009,1,7097,1,7107,1,7195,1,7205,1,7293,1,7303,1,7391,1,7401,1,7489,1,7499,1,7587,1,7597,1,7685,1,7695,1,7783,1,7793,1,1,5932,1,431,427,361,356,371,402,393,399,386,352,385,401,444,1,207,1,197,1,11|
5930,1,6020,1,6028,1,6118,1,6126,1,6216,1,6224,1,6314,1,6322,1,6412,1,6420,1,6510,1,6518,1,6608,1,6616,1,6706,1,6714,1,6804,1,6812,1,6902,1,6910,1,7000,1,7008,1,7098,1,7106,1,7196,1,7204,1,7294,1,7302,1,7392,1,7400,1,7490,1,7498,1,7588,1,7596,1,7686,1,7694,1,7784,1,7792,1,1,5931,1,346,345,396,377,341,394,369,354,393,374,323,376,310,1,206,1,198,1,10|
5929,1,6021,1,6027,1,6119,1,6125,1,6217,1,6223,1,6315,1,6321,1,6413,1,6419,1,6511,1,6517,1,6609,1,6615,1,6707,1,6713,1,6805,1,6811,1,6903,1,6909,1,7001,1,7007,1,7099,1,7105,1,7197,1,7203,1,7295,1,7301,1,7393,1,7399,1,7491,1,7497,1,7589,1,7595,1,7687,1,7693,1,7785,1,7791,1,1,5930,1,276,303,311,263,342,300,326,254,313,251,269,279,290,1,205,1,199,1,9|
5928,1,6022,1,6026,1,6120,1,6124,1,6218,1,6222,1,6316,1,6320,1,6414,1,6418,1,6512,1,6516,1,6610,1,6614,1,6708,1,6712,1,6806,1,6810,1,6904,1,6908,1,7002,1,7006,1,7100,1,7104,1,7198,1,7202,1,7296,1,7300,1,7394,1,7398,1,7492,1,7496,1,7590,1,7594,1,7688,1,7692,1,7786,1,7790,1,1,5929,1,200,269,279,230,205,284,227,217,273,247,274,218,274,1,204,1,200,1,8|
5927,1,6023,6024,6025,1,6121,6122,6123,1,6219,6220,6221,1,6317,6318,6319,1,6415,6416,6417,1,6513,6514,6515,1,6611,6612,6613,1,6709,6710,6711,1,6807,6808,6809,1,6905,6906,6907,1,7003,7004,7005,1,7101,7102,7103,1,7199,7200,7201,1,7297,7298,7299,1,7395,7396,7397,1,7493,7494,7495,1,7591,7592,7593,1,7689,7690,7691,1,7787,7788,7789,1,1,5928,1,181,228,171,213,167,150,232,198,226,206,225,190,188,1,203,202,201,1,7|
5926,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5927,1,180,125,191,167,153,121,136,139,190,125,155,163,185,1,1,1,1,1,6|
5925,5924,5923,5922,5921,5920,5919,5918,5917,5916,5915,5914,5913,5912,5911,5910,5909,5908,5907,5906,5905,5904,5903,5902,5901,5900,5899,5898,5897,5896,5895,5894,5893,5892,5891,5890,5889,5888,5887,5886,5887,5888,5889,5890,5891,5892,5893,5894,5895,5896,5897,5898,5899,5900,5901,5902,5903,5904,5905,5906,5907,5908,5909,5910,5911,5912,5913,5914,5915,5916,5917,5918,5919,5920,5921,5922,5923,5924,5925,5926,1,82,99,122,94,115,84,128,103,70,99,88,85,82,1,1,2,3,4,5|];