[[[0,16,20,1,0],[0,21,25,1,0],[0,27,31,1,0],[0,31,35,1,0],[0,40,44,1,0],[0,44,48,1,0],[0,48,56,1,0],[0,56,64,1,0],[0,77,85,1,0],[0,87,95,1,0],[1,97,105,1,0],[1,106,114,1,0],[1,122,130,1,0],[1,131,139,1,0],[1,139,147,1,0],[0,152,160,1,0],[1,164,172,1,0],[0,202,210,1,0],[0,211,219,1,0],[1,229,237,1,0],[0,244,252,1,0],[1,265,273,1,0],[0,278,286,1,0],[0,287,291,1,0],[1,292,300,1,0],[0,305,309,1,0],[1,314,322,1,0],[1,322,330,1,0],[1,330,338,1,0],[0,343,351,1,0],[0,353,361,1,0],[1,369,377,1,0],[1,379,387,1,0],[1,395,403,1,0],[0,408,416,1,0],[0,421,429,1,0],[1,433,441,1,0],[1,445,453,1,0],[1,453,461,1,0],[0,466,474,1,0],[1,500,508,1,0],[0,513,521,1,0],[0,521,529,1,0],[0,530,538,1,0],[0,548,556,1,0],[0,556,564,1,0],[1,567,575,1,0],[0,595,603,1,0],[0,612,620,1,0],[1,625,633,1,0],[1,633,641,1,0],[0,646,654,1,0],[1,676,684,1,0],[0,689,697,1,0],[1,703,711,1,0],[1,715,723,1,0],[0,728,736,1,0],[0,736,744,1,0],[1,764,772,1,0],[0,778,786,1,0],[1,791,799,1,0],[1,804,812,1,0],[0,817,825,1,0],[1,827,835,1,0],[0,840,848,1,0],[0,848,856,1,0],[1,865,873,1,0],[0,878,886,1,0],[1,886,894,1,0],[1,902,910,1,0],[0,915,923,1,0],[1,926,934,1,0],[1,940,948,1,0],[0,953,961,1,0],[0,961,969,1,0],[0,969,977,1,0],[1,985,993,1,0],[0,998,1006,1,0],[1,1007,1015,1,0],[1,1034,1042,1,0],[1,1043,1051,1,0],[0,1056,1064,1,0],[0,1069,1077,1,0],[1,1084,1092,1,0],[1,1104,1112,1,0],[1,1112,1120,1,0],[0,1125,1133,1,0],[0,1133,1141,1,0],[0,1141,1149,1,0],[0,1149,1157,1,0],[1,1161,1169,1,0],[1,1184,1192,1,0],[0,1197,1205,1,0],[1,1228,1236,1,0],[0,1241,1249,1,0],[0,1259,1267,1,0],[1,1272,1280,1,0],[0,1285,1293,1,0],[1,1298,1306,1,0],[1,1316,1324,1,0],[1,1325,1333,1,0],[0,1338,1346,1,0],[0,1346,1354,1,0],[0,1354,1362,1,0],[1,1369,1377,1,0],[0,1382,1390,1,0],[0,1398,1406,1,0],[1,1407,1415,1,0],[0,1446,1454,1,0],[1,1482,1490,1,0],[1,1490,1498,1,0],[1,1498,1506,1,0],[1,1506,1514,1,0],[1,1514,1522,1,0],[1,1524,1532,1,0],[0,1537,1545,1,0],[1,1545,1553,1,0],[0,1558,1566,1,0],[1,1566,1574,1,0],[0,1579,1587,1,0],[1,1587,1595,1,0],[0,1600,1608,1,0],[1,1614,1622,1,0],[0,1627,1635,1,0],[1,1635,1643,1,0],[0,1648,1656,1,0],[0,1656,1664,1,0],[0,1687,1695,1,0],[1,1698,1706,1,0],[0,1717,1725,1,0],[1,1725,1733,1,0],[0,1738,1746,1,0],[1,1746,1754,1,0],[1,1754,1762,1,0],[1,1762,1770,1,0],[0,1775,1783,1,0],[1,1785,1793,1,0],[0,1798,1806,1,0],[1,1807,1815,1,0],[0,1820,1828,1,0],[1,1828,1836,1,0],[0,1841,1849,1,0],[1,1849,1857,1,0],[0,1862,1870,1,0],[0,1871,1879,1,0],[0,1888,1896,1,0],[1,1910,1918,1,0],[0,1946,1954,1,0],[0,1954,1962,1,0],[0,1962,1966,1,0],[0,1970,1974,1,0],[0,1974,1978,1,0],[1,1980,1988,1,0],[1,1996,2004,1,0],[0,2009,2013,1,0],[0,2013,2017,1,0],[0,2017,2021,1,0],[0,2023,2027,1,0],[1,2029,2037,1,0],[1,2040,2048,1,0],[1,2052,2060,1,0],[0,2065,2069,1,0],[1,2094,2102,1,0],[0,2107,2111,1,0],[0,2111,2115,1,0],[0,2115,2119,1,0],[1,2123,2131,1,0],[0,2136,2140,1,0],[0,2140,2144,1,0],[0,2146,2150,1,0],[0,2152,2156,1,0],[1,2160,2168,1,0],[1,2168,2176,1,0],[1,2176,2184,1,0],[0,2189,2197,1,0],[0,2197,2205,1,0],[1,2205,2213,1,0],[0,2218,2226,1,0],[1,2231,2239,1,0],[1,2239,2247,1,0],[0,2254,2262,1,0],[0,2266,2274,1,0],[1,2275,2283,1,0],[1,2283,2287,1,0],[1,2287,2295,1,0],[1,2295,2303,1,0],[1,2303,2311,1,0],[1,2311,2319,1,0],[1,2319,2327,1,0],[0,2332,2340,1,0],[1,2344,2348,1,0],[0,2353,2361,1,0],[0,2361,2369,1,0],[0,2369,2377,1,0],[0,2383,2391,1,0],[1,2396,2404,1,0],[1,2413,2421,1,0],[0,2426,2434,1,0],[0,2434,2442,1,0],[1,2443,2451,1,0],[0,2456,2464,1,0],[0,2464,2472,1,0],[1,2473,2481,1,0],[1,2481,2489,1,0],[1,2489,2493,1,0],[0,2498,2506,1,0],[1,2506,2514,1,0],[0,2519,2527,1,0],[1,2527,2535,1,0],[0,2540,2548,1,0],[1,2555,2563,1,0],[0,2568,2576,1,0],[0,2576,2584,1,0],[0,2595,2603,1,0],[0,2603,2611,1,0],[1,2612,2620,1,0],[0,2625,2633,1,0],[0,2633,2637,1,0],[1,2642,2650,1,0],[1,2653,2661,1,0],[1,2661,2669,1,0],[1,2669,2677,1,0],[1,2677,2685,1,0],[1,2685,2689,1,0],[0,2694,2702,1,0],[0,2702,2710,1,0],[0,2710,2718,1,0],[0,2718,2722,1,0],[1,2725,2733,1,0],[1,2733,2741,1,0],[1,2741,2749,1,0],[1,2749,2757,1,0],[1,2757,2761,1,0],[0,2766,2774,1,0],[0,2774,2782,1,0],[0,2782,2790,1,0],[0,2790,2798,1,0],[0,2798,2806,1,0],[0,2806,2810,1,0],[1,2832,2840,1,0],[0,2852,2860,1,0],[0,2860,2868,1,0],[0,2868,2876,1,0],[1,2877,2885,1,0],[1,2885,2893,1,0],[0,2898,2906,1,0],[0,2906,2914,1,0],[0,2914,2922,1,0],[0,2922,2926,1,0],[0,2926,2934,1,0],[0,2934,2942,1,0],[0,2942,2950,1,0],[1,2953,2961,1,0],[1,2961,2969,1,0],[1,2969,2973,1,0],[0,2978,2986,1,0],[0,2986,2990,1,0],[0,2991,2999,1,0],[1,3006,3014,1,0],[0,3045,3053,1,0],[1,3054,3062,1,0],[1,3062,3070,1,0],[0,3075,3083,1,0],[0,3083,3091,1,0],[1,3095,3103,1,0],[0,3110,3118,1,0],[0,3118,3126,1,0],[0,3126,3130,1,0],[0,3130,3138,1,0],[1,3144,3152,1,0],[1,3152,3160,1,0],[0,3165,3173,1,0],[1,3181,3189,1,0],[1,3189,3197,1,0],[1,3197,3205,1,0],[1,3205,3213,1,0],[1,3213,3217,1,0],[1,3217,3225,1,0],[1,3225,3233,1,0],[0,3238,3246,1,0],[0,3246,3254,1,0],[0,3254,3262,1,0],[0,3262,3270,1,0],[1,3270,3278,1,0],[1,3278,3286,1,0],[1,3286,3294,1,0],[0,3299,3303,1,0],[1,3307,3315,1,0],[1,3315,3323,1,0],[0,3328,3336,1,0],[0,3336,3344,1,0],[0,3344,3352,1,0],[0,3352,3360,1,0],[0,3360,3364,1,0],[0,3364,3372,1,0],[1,3375,3383,1,0],[1,3383,3391,1,0],[0,3396,3404,1,0],[0,3404,3412,1,0],[0,3412,3420,1,0],[0,3420,3428,1,0],[0,3428,3432,1,0],[1,3435,3443,1,0],[1,3443,3451,1,0],[1,3451,3455,1,0],[1,3455,3463,1,0],[1,3463,3471,1,0],[0,3483,3491,1,0],[1,3495,3503,1,0],[1,3503,3511,1,0],[0,3516,3524,1,0],[0,3524,3532,1,0],[0,3532,3540,1,0],[1,3545,3553,1,0],[1,3553,3561,1,0],[1,3561,3569,1,0],[0,3574,3578,1,0],[1,3581,3589,1,0],[1,3589,3597,1,0],[1,3597,3605,1,0],[1,3606,3614,1,0],[0,3619,3627,1,0],[0,3627,3631,1,0],[1,3633,3641,1,0],[1,3641,3649,1,0],[1,3659,3667,1,0],[1,3667,3675,1,0],[0,3680,3688,1,0],[0,3688,3696,1,0],[0,3696,3704,1,0],[0,3704,3712,1,0],[0,3712,3716,1,0],[1,3718,3726,1,0],[1,3726,3734,1,0],[1,3743,3751,1,0],[1,3751,3759,1,0],[1,3759,3767,1,0],[0,3772,3780,1,0],[0,3780,3788,1,0],[0,3788,3796,1,0],[0,3796,3804,1,0],[0,3804,3808,1,0],[1,3810,3818,1,0],[0,3823,3831,1,0],[0,3831,3839,1,0],[0,3839,3847,1,0],[0,3847,3855,1,0],[1,3856,3864,1,0],[0,3869,3873,1,0],[1,3875,3883,1,0],[1,3883,3891,1,0],[0,3896,3904,1,0],[0,3904,3912,1,0],[0,3912,3920,1,0],[0,3920,3928,1,0],[0,3928,3932,1,0],[0,3932,3940,1,0],[0,3940,3948,1,0],[1,3953,3961,1,0],[1,3961,3969,1,0],[0,3974,3982,1,0],[0,3982,3990,1,0],[0,3990,3994,1,0],[0,3994,4002,1,0],[0,4002,4010,1,0],[0,4010,4018,1,0],[0,4018,4026,1,0],[0,4026,4030,1,0]],[[0,11,15,1,0],[0,15,19,1,0],[0,21,25,1,0],[0,25,29,1,0],[0,34,38,1,0],[0,38,42,1,0],[0,48,56,1,0],[0,73,81,1,0],[0,83,91,1,0],[1,97,105,1,0],[1,105,113,1,0],[1,115,123,1,0],[1,124,132,1,0],[1,132,140,1,0],[0,145,153,1,0],[1,186,194,1,0],[0,200,208,1,0],[0,208,216,1,0],[1,229,237,1,0],[0,242,250,1,0],[1,250,258,1,0],[1,258,266,1,0],[0,271,279,1,0],[0,279,287,1,0],[0,288,292,1,0],[0,292,296,1,0],[1,303,311,1,0],[1,321,329,1,0],[1,332,340,1,0],[0,345,353,1,0],[1,361,369,1,0],[1,369,377,1,0],[0,382,390,1,0],[0,391,399,1,0],[0,407,415,1,0],[1,421,429,1,0],[0,435,443,1,0],[1,464,472,1,0],[1,476,484,1,0],[1,484,492,1,0],[0,505,513,1,0],[1,529,537,1,0],[0,542,550,1,0],[0,550,558,1,0],[1,559,567,1,0],[1,579,587,1,0],[0,592,600,1,0],[0,600,608,1,0],[0,608,616,1,0],[1,618,626,1,0],[0,631,639,1,0],[1,645,653,1,0],[0,658,666,1,0],[0,682,690,1,0],[0,701,709,1,0],[1,710,718,1,0],[1,718,726,1,0],[1,734,742,1,0],[0,747,755,1,0],[1,763,771,1,0],[0,776,784,1,0],[0,792,800,1,0],[0,800,808,1,0],[1,812,820,1,0],[1,842,850,1,0],[1,855,863,1,0],[1,867,875,1,0],[0,880,888,1,0],[0,888,896,1,0],[0,896,904,1,0],[1,918,926,1,0],[1,926,934,1,0],[0,940,948,1,0],[1,950,958,1,0],[1,958,966,1,0],[0,971,979,1,0],[0,982,990,1,0],[0,990,998,1,0],[1,1012,1020,1,0],[0,1025,1033,1,0],[1,1040,1048,1,0],[1,1055,1063,1,0],[0,1070,1078,1,0],[1,1080,1088,1,0],[0,1095,1103,1,0],[1,1107,1115,1,0],[1,1123,1131,1,0],[0,1136,1144,1,0],[0,1144,1152,1,0],[0,1152,1160,1,0],[1,1165,1173,1,0],[1,1176,1184,1,0],[1,1196,1204,1,0],[0,1222,1230,1,0],[0,1244,1252,1,0],[1,1254,1262,1,0],[0,1267,1275,1,0],[0,1286,1294,1,0],[0,1296,1304,1,0],[1,1305,1313,1,0],[1,1327,1335,1,0],[0,1340,1348,1,0],[0,1348,1356,1,0],[1,1359,1367,1,0],[0,1388,1396,1,0],[1,1398,1406,1,0],[1,1406,1414,1,0],[1,1420,1428,1,0],[0,1446,1454,1,0],[1,1454,1462,1,0],[0,1469,1477,1,0],[0,1477,1485,1,0],[0,1513,1521,1,0],[0,1522,1530,1,0],[1,1533,1541,1,0],[0,1546,1554,1,0],[1,1560,1568,1,0],[0,1573,1581,1,0],[1,1587,1595,1,0],[1,1606,1614,1,0],[1,1615,1623,1,0],[0,1628,1636,1,0],[1,1636,1644,1,0],[1,1644,1652,1,0],[1,1652,1660,1,0],[0,1665,1673,1,0],[1,1680,1688,1,0],[1,1688,1696,1,0],[1,1696,1704,1,0],[0,1709,1717,1,0],[0,1717,1725,1,0],[0,1749,1757,1,0],[1,1760,1768,1,0],[1,1768,1776,1,0],[0,1781,1789,1,0],[1,1793,1801,1,0],[1,1801,1809,1,0],[0,1814,1822,1,0],[1,1822,1830,1,0],[0,1835,1843,1,0],[0,1845,1853,1,0],[0,1853,1861,1,0],[0,1870,1878,1,0],[0,1895,1899,1,0],[0,1900,1908,1,0],[0,1908,1916,1,0],[1,1926,1934,1,0],[1,1935,1943,1,0],[1,1943,1951,1,0],[1,1951,1959,1,0],[0,1972,1976,1,0],[0,1976,1980,1,0],[0,1980,1984,1,0],[1,1998,2006,1,0],[0,2023,2027,1,0],[0,2027,2031,1,0],[1,2032,2040,1,0],[0,2045,2049,1,0],[0,2049,2053,1,0],[1,2056,2064,1,0],[0,2069,2073,1,0],[0,2073,2077,1,0],[1,2080,2088,1,0],[0,2093,2097,1,0],[0,2097,2101,1,0],[0,2101,2105,1,0],[0,2105,2113,1,0],[1,2113,2121,1,0],[1,2121,2129,1,0],[1,2129,2137,1,0],[0,2142,2146,1,0],[1,2151,2159,1,0],[0,2164,2172,1,0],[0,2172,2180,1,0],[0,2180,2188,1,0],[0,2188,2192,1,0],[1,2195,2203,1,0],[1,2203,2211,1,0],[1,2211,2219,1,0],[1,2219,2227,1,0],[1,2227,2235,1,0],[1,2235,2243,1,0],[1,2243,2247,1,0],[0,2252,2260,1,0],[0,2260,2268,1,0],[1,2270,2278,1,0],[0,2283,2291,1,0],[1,2291,2299,1,0],[0,2304,2312,1,0],[1,2312,2320,1,0],[0,2325,2333,1,0],[1,2333,2341,1,0],[1,2342,2350,1,0],[1,2361,2369,1,0],[1,2369,2377,1,0],[1,2377,2381,1,0],[0,2386,2394,1,0],[0,2394,2402,1,0],[0,2402,2410,1,0],[0,2413,2421,1,0],[1,2425,2433,1,0],[0,2458,2466,1,0],[0,2475,2483,1,0],[1,2494,2502,1,0],[0,2507,2515,1,0],[1,2515,2523,1,0],[0,2528,2536,1,0],[1,2536,2544,1,0],[0,2549,2557,1,0],[1,2559,2567,1,0],[1,2567,2575,1,0],[1,2587,2595,1,0],[1,2597,2605,1,0],[1,2605,2609,1,0],[0,2614,2622,1,0],[0,2622,2630,1,0],[0,2631,2639,1,0],[0,2639,2647,1,0],[0,2647,2655,1,0],[0,2671,2679,1,0],[1,2680,2688,1,0],[1,2688,2696,1,0],[0,2701,2709,1,0],[1,2721,2729,1,0],[1,2729,2737,1,0],[0,2742,2750,1,0],[0,2750,2758,1,0],[0,2758,2766,1,0],[0,2768,2772,1,0],[0,2775,2783,1,0],[1,2785,2793,1,0],[0,2798,2806,1,0],[0,2806,2814,1,0],[1,2814,2822,1,0],[1,2822,2830,1,0],[1,2832,2840,1,0],[1,2840,2848,1,0],[0,2853,2861,1,0],[0,2861,2869,1,0],[0,2869,2877,1,0],[1,2882,2890,1,0],[0,2895,2899,1,0],[1,2901,2909,1,0],[1,2909,2917,1,0],[1,2917,2925,1,0],[1,2925,2933,1,0],[1,2933,2937,1,0],[0,2942,2950,1,0],[1,2952,2960,1,0],[0,2965,2969,1,0],[0,2969,2977,1,0],[0,2977,2985,1,0],[0,2985,2993,1,0],[1,2993,3001,1,0],[1,3001,3009,1,0],[0,3014,3022,1,0],[1,3023,3031,1,0],[1,3031,3035,1,0],[0,3040,3044,1,0],[0,3044,3052,1,0],[1,3055,3063,1,0],[0,3068,3076,1,0],[0,3076,3084,1,0],[0,3084,3092,1,0],[0,3092,3096,1,0],[0,3096,3104,1,0],[0,3104,3112,1,0],[1,3114,3122,1,0],[1,3122,3130,1,0],[1,3130,3138,1,0],[1,3138,3146,1,0],[1,3146,3154,1,0],[1,3154,3162,1,0],[1,3162,3166,1,0],[0,3171,3179,1,0],[0,3179,3187,1,0],[0,3187,3191,1,0],[1,3194,3202,1,0],[0,3207,3215,1,0],[0,3215,3223,1,0],[0,3223,3231,1,0],[0,3231,3239,1,0],[0,3242,3246,1,0],[0,3259,3267,1,0],[0,3267,3275,1,0],[0,3275,3283,1,0],[1,3290,3298,1,0],[1,3298,3306,1,0],[1,3306,3314,1,0],[1,3316,3324,1,0],[1,3324,3332,1,0],[1,3332,3336,1,0],[1,3336,3344,1,0],[0,3349,3357,1,0],[0,3357,3361,1,0],[0,3361,3369,1,0],[0,3369,3377,1,0],[0,3377,3385,1,0],[1,3388,3396,1,0],[1,3396,3404,1,0],[1,3404,3412,1,0],[1,3412,3420,1,0],[0,3425,3433,1,0],[0,3433,3437,1,0],[1,3439,3447,1,0],[1,3447,3455,1,0],[1,3455,3463,1,0],[1,3463,3471,1,0],[1,3471,3479,1,0],[1,3480,3488,1,0],[1,3488,3496,1,0],[1,3496,3504,1,0],[1,3504,3508,1,0],[0,3513,3521,1,0],[0,3521,3529,1,0],[0,3529,3537,1,0],[0,3537,3545,1,0],[0,3545,3549,1,0],[0,3549,3557,1,0],[1,3557,3565,1,0],[0,3570,3578,1,0],[0,3578,3586,1,0],[0,3586,3594,1,0],[0,3594,3598,1,0],[1,3600,3608,1,0],[1,3627,3635,1,0],[1,3635,3643,1,0],[1,3649,3657,1,0],[0,3662,3670,1,0],[0,3670,3678,1,0],[0,3678,3686,1,0],[0,3686,3694,1,0],[0,3694,3698,1,0],[1,3700,3708,1,0],[1,3708,3716,1,0],[1,3716,3724,1,0],[1,3724,3732,1,0],[1,3743,3751,1,0],[1,3752,3760,1,0],[1,3776,3784,1,0],[0,3791,3799,1,0],[0,3805,3813,1,0],[0,3813,3821,1,0],[0,3821,3829,1,0],[0,3829,3837,1,0],[0,3837,3841,1,0],[1,3843,3851,1,0],[1,3851,3859,1,0],[1,3863,3871,1,0],[0,3876,3884,1,0],[0,3884,3892,1,0],[0,3892,3900,1,0],[0,3900,3904,1,0],[0,3916,3924,1,0],[0,3924,3932,1,0],[0,3932,3940,1,0],[0,3940,3948,1,0],[0,3948,3952,1,0],[0,3952,3960,1,0],[0,3960,3968,1,0],[0,3968,3976,1,0],[0,3976,3984,1,0],[0,3984,3988,1,0],[0,3988,3996,1,0],[0,3996,4004,1,0],[0,4004,4012,1,0],[0,4012,4020,1,0],[0,4020,4024,1,0]],[[0,22,26,1,0],[0,26,30,1,0],[0,30,34,1,0],[0,35,39,1,0],[0,39,43,1,0],[0,43,47,1,0],[0,49,53,1,0],[0,53,57,1,0],[0,69,77,1,0],[0,79,87,1,0],[1,97,105,1,0],[1,105,113,1,0],[1,116,124,1,0],[1,129,137,1,0],[1,143,151,1,0],[0,156,164,1,0],[1,171,179,1,0],[1,181,189,1,0],[0,194,202,1,0],[1,208,216,1,0],[1,221,229,1,0],[0,234,242,1,0],[1,242,250,1,0],[0,255,263,1,0],[0,263,271,1,0],[0,271,279,1,0],[0,286,294,1,0],[1,308,316,1,0],[0,324,332,1,0],[1,332,340,1,0],[1,348,356,1,0],[0,364,372,1,0],[0,384,392,1,0],[1,410,418,1,0],[1,418,426,1,0],[0,431,439,1,0],[1,445,453,1,0],[1,462,470,1,0],[1,477,485,1,0],[0,490,498,1,0],[1,500,508,1,0],[0,513,521,1,0],[0,521,529,1,0],[0,529,537,1,0],[0,539,547,1,0],[1,550,558,1,0],[0,564,572,1,0],[0,602,610,1,0],[1,614,622,1,0],[1,634,642,1,0],[1,642,650,1,0],[0,655,663,1,0],[0,663,671,1,0],[1,674,682,1,0],[0,687,695,1,0],[0,695,703,1,0],[1,714,722,1,0],[1,722,730,1,0],[0,736,744,1,0],[0,763,771,1,0],[1,786,794,1,0],[1,800,808,1,0],[1,813,821,1,0],[0,837,845,1,0],[0,854,862,1,0],[1,866,874,1,0],[0,879,887,1,0],[1,887,895,1,0],[1,919,927,1,0],[1,939,947,1,0],[0,952,960,1,0],[1,960,968,1,0],[1,969,977,1,0],[0,982,990,1,0],[0,990,998,1,0],[0,998,1006,1,0],[1,1007,1015,1,0],[0,1020,1028,1,0],[1,1032,1040,1,0],[0,1045,1053,1,0],[1,1056,1064,1,0],[0,1069,1077,1,0],[1,1082,1090,1,0],[1,1093,1101,1,0],[1,1103,1111,1,0],[0,1116,1124,1,0],[1,1124,1132,1,0],[0,1137,1145,1,0],[0,1145,1153,1,0],[0,1153,1161,1,0],[0,1173,1181,1,0],[1,1206,1214,1,0],[0,1219,1227,1,0],[1,1238,1246,1,0],[0,1251,1259,1,0],[0,1259,1267,1,0],[0,1267,1275,1,0],[1,1281,1289,1,0],[1,1303,1311,1,0],[1,1311,1319,1,0],[0,1324,1332,1,0],[1,1341,1349,1,0],[0,1354,1362,1,0],[1,1395,1403,1,0],[1,1409,1417,1,0],[1,1422,1430,1,0],[0,1435,1443,1,0],[0,1443,1451,1,0],[0,1451,1459,1,0],[0,1459,1467,1,0],[0,1484,1492,1,0],[0,1497,1505,1,0],[1,1509,1517,1,0],[1,1517,1525,1,0],[1,1541,1549,1,0],[1,1549,1557,1,0],[0,1566,1574,1,0],[0,1574,1582,1,0],[1,1583,1591,1,0],[1,1591,1599,1,0],[1,1599,1607,1,0],[1,1607,1615,1,0],[1,1615,1623,1,0],[0,1628,1636,1,0],[1,1636,1644,1,0],[0,1649,1657,1,0],[0,1657,1665,1,0],[0,1667,1675,1,0],[1,1676,1684,1,0],[1,1707,1715,1,0],[0,1720,1728,1,0],[0,1728,1736,1,0],[0,1751,1759,1,0],[1,1759,1767,1,0],[1,1767,1775,1,0],[1,1775,1783,1,0],[1,1783,1791,1,0],[0,1796,1804,1,0],[1,1804,1812,1,0],[0,1817,1825,1,0],[1,1826,1834,1,0],[0,1839,1847,1,0],[0,1847,1855,1,0],[0,1855,1863,1,0],[1,1874,1882,1,0],[0,1900,1908,1,0],[0,1909,1917,1,0],[1,1958,1966,1,0],[1,1966,1974,1,0],[0,1979,1987,1,0],[0,1987,1995,1,0],[0,1995,1999,1,0],[1,2007,2015,1,0],[0,2020,2024,1,0],[1,2027,2035,1,0],[1,2043,2051,1,0],[1,2051,2059,1,0],[0,2064,2072,1,0],[0,2072,2076,1,0],[0,2076,2080,1,0],[0,2080,2084,1,0],[0,2084,2088,1,0],[0,2088,2092,1,0],[0,2092,2096,1,0],[1,2114,2122,1,0],[1,2122,2130,1,0],[1,2132,2140,1,0],[0,2145,2149,1,0],[0,2149,2153,1,0],[0,2153,2157,1,0],[0,2157,2161,1,0],[0,2161,2165,1,0],[0,2165,2169,1,0],[0,2169,2177,1,0],[0,2177,2185,1,0],[1,2187,2195,1,0],[1,2195,2203,1,0],[1,2212,2220,1,0],[1,2220,2228,1,0],[0,2233,2237,1,0],[0,2237,2241,1,0],[1,2243,2251,1,0],[1,2251,2259,1,0],[1,2259,2263,1,0],[0,2268,2276,1,0],[0,2276,2284,1,0],[0,2284,2288,1,0],[1,2290,2298,1,0],[1,2298,2306,1,0],[1,2306,2314,1,0],[1,2314,2322,1,0],[1,2322,2326,1,0],[0,2331,2339,1,0],[0,2339,2347,1,0],[0,2347,2355,1,0],[0,2355,2363,1,0],[0,2363,2367,1,0],[0,2367,2375,1,0],[0,2375,2383,1,0],[1,2387,2395,1,0],[1,2395,2403,1,0],[1,2403,2411,1,0],[0,2416,2424,1,0],[0,2424,2432,1,0],[0,2432,2436,1,0],[1,2438,2446,1,0],[1,2446,2454,1,0],[1,2473,2481,1,0],[1,2487,2495,1,0],[0,2507,2515,1,0],[1,2585,2593,1,0],[1,2593,2601,1,0],[0,2606,2614,1,0],[0,2614,2622,1,0],[0,2627,2635,1,0],[0,2635,2643,1,0],[0,2643,2651,1,0],[0,2651,2659,1,0],[1,2664,2672,1,0],[1,2672,2680,1,0],[1,2680,2688,1,0],[1,2688,2696,1,0],[1,2696,2700,1,0],[0,2705,2713,1,0],[0,2713,2721,1,0],[1,2736,2744,1,0],[1,2744,2752,1,0],[1,2752,2760,1,0],[1,2760,2768,1,0],[0,2773,2781,1,0],[1,2781,2789,1,0],[0,2796,2804,1,0],[1,2804,2812,1,0],[0,2817,2825,1,0],[1,2825,2833,1,0],[0,2838,2846,1,0],[0,2846,2854,1,0],[1,2859,2867,1,0],[1,2867,2875,1,0],[1,2875,2883,1,0],[1,2883,2891,1,0],[1,2891,2895,1,0],[0,2900,2908,1,0],[0,2921,2929,1,0],[0,2929,2937,1,0],[0,2949,2957,1,0],[1,2957,2965,1,0],[0,2971,2979,1,0],[0,2979,2987,1,0],[0,2990,2998,1,0],[0,2999,3007,1,0],[0,3022,3030,1,0],[0,3033,3041,1,0],[0,3041,3049,1,0],[0,3049,3057,1,0],[1,3058,3066,1,0],[1,3066,3074,1,0],[1,3074,3082,1,0],[1,3082,3090,1,0],[1,3090,3094,1,0],[1,3094,3102,1,0],[0,3108,3116,1,0],[0,3118,3126,1,0],[1,3126,3134,1,0],[1,3134,3142,1,0],[0,3147,3151,1,0],[0,3151,3159,1,0],[0,3159,3167,1,0],[0,3167,3175,1,0],[0,3175,3183,1,0],[0,3183,3187,1,0],[0,3187,3195,1,0],[1,3202,3210,1,0],[1,3210,3218,1,0],[1,3218,3222,1,0],[1,3222,3230,1,0],[1,3230,3238,1,0],[1,3238,3246,1,0],[1,3246,3254,1,0],[1,3265,3273,1,0],[0,3278,3286,1,0],[0,3286,3294,1,0],[1,3298,3306,1,0],[1,3306,3314,1,0],[1,3314,3322,1,0],[1,3322,3330,1,0],[1,3332,3336,1,0],[0,3341,3349,1,0],[0,3349,3353,1,0],[0,3353,3361,1,0],[0,3361,3369,1,0],[0,3369,3377,1,0],[0,3377,3385,1,0],[0,3385,3389,1,0],[0,3389,3397,1,0],[1,3397,3405,1,0],[1,3405,3413,1,0],[1,3413,3421,1,0],[1,3421,3429,1,0],[1,3429,3433,1,0],[0,3438,3446,1,0],[0,3446,3454,1,0],[0,3454,3462,1,0],[0,3462,3470,1,0],[0,3470,3474,1,0],[1,3476,3484,1,0],[0,3489,3497,1,0],[0,3497,3505,1,0],[0,3505,3513,1,0],[0,3513,3521,1,0],[0,3521,3525,1,0],[1,3531,3539,1,0],[1,3539,3547,1,0],[1,3547,3555,1,0],[0,3560,3568,1,0],[1,3568,3576,1,0],[1,3576,3584,1,0],[1,3588,3596,1,0],[1,3596,3604,1,0],[1,3604,3612,1,0],[0,3617,3625,1,0],[0,3625,3633,1,0],[0,3633,3637,1,0],[1,3639,3647,1,0],[1,3647,3655,1,0],[1,3655,3663,1,0],[1,3666,3674,1,0],[0,3679,3687,1,0],[0,3687,3695,1,0],[0,3695,3703,1,0],[0,3703,3711,1,0],[0,3711,3715,1,0],[1,3718,3726,1,0],[1,3731,3739,1,0],[1,3739,3747,1,0],[1,3750,3758,1,0],[0,3763,3771,1,0],[0,3771,3779,1,0],[0,3779,3787,1,0],[0,3787,3795,1,0],[0,3795,3799,1,0],[1,3803,3811,1,0],[1,3811,3819,1,0],[1,3819,3827,1,0],[0,3832,3840,1,0],[0,3840,3848,1,0],[0,3848,3856,1,0],[0,3856,3864,1,0],[0,3864,3868,1,0],[0,3868,3876,1,0],[1,3882,3890,1,0],[0,3895,3903,1,0],[0,3903,3911,1,0],[0,3911,3919,1,0],[0,3919,3923,1,0],[1,3939,3947,1,0],[1,3947,3955,1,0],[0,3960,3968,1,0],[0,3968,3976,1,0],[0,3976,3984,1,0],[0,3984,3992,1,0],[0,3992,3996,1,0],[1,3998,4006,1,0],[0,4030,4038,1,0],[0,4038,4046,1,0],[0,4046,4054,1,0],[0,4054,4062,1,0],[0,4062,4066,1,0]],[[0,15,19,1,0],[0,20,24,1,0],[0,24,28,1,0],[0,28,32,1,0],[0,33,37,1,0],[0,37,41,1,0],[0,43,47,1,0],[0,47,51,1,0],[0,58,66,1,0],[0,83,91,1,0],[1,97,105,1,0],[1,106,114,1,0],[1,115,123,1,0],[1,127,135,1,0],[1,137,145,1,0],[0,150,158,1,0],[0,158,166,1,0],[0,178,186,1,0],[1,205,213,1,0],[0,218,226,1,0],[1,230,238,1,0],[1,264,272,1,0],[1,282,290,1,0],[0,295,303,1,0],[0,303,311,1,0],[0,311,319,1,0],[1,334,342,1,0],[1,345,353,1,0],[1,364,372,1,0],[1,372,380,1,0],[1,385,393,1,0],[0,398,406,1,0],[1,406,414,1,0],[0,419,427,1,0],[0,427,435,1,0],[1,440,448,1,0],[0,453,461,1,0],[0,461,469,1,0],[1,471,479,1,0],[1,479,487,1,0],[0,492,500,1,0],[1,513,521,1,0],[1,525,533,1,0],[0,538,546,1,0],[0,546,554,1,0],[0,554,562,1,0],[0,570,578,1,0],[0,580,588,1,0],[1,597,605,1,0],[0,610,618,1,0],[1,636,644,1,0],[1,649,657,1,0],[0,662,670,1,0],[1,671,679,1,0],[0,684,692,1,0],[1,702,710,1,0],[0,715,723,1,0],[1,726,734,1,0],[1,734,742,1,0],[0,750,758,1,0],[1,763,771,1,0],[0,776,784,1,0],[0,784,792,1,0],[1,819,827,1,0],[0,832,840,1,0],[1,849,857,1,0],[0,864,872,1,0],[1,892,900,1,0],[1,900,908,1,0],[0,913,921,1,0],[1,925,933,1,0],[1,937,945,1,0],[0,950,958,1,0],[0,962,970,1,0],[1,974,982,1,0],[1,982,990,1,0],[0,995,1003,1,0],[0,1003,1011,1,0],[0,1022,1030,1,0],[1,1033,1041,1,0],[1,1042,1050,1,0],[0,1055,1063,1,0],[1,1074,1082,1,0],[0,1087,1095,1,0],[1,1102,1110,1,0],[1,1113,1121,1,0],[0,1126,1134,1,0],[0,1134,1142,1,0],[1,1158,1166,1,0],[0,1171,1179,1,0],[1,1194,1202,1,0],[0,1207,1215,1,0],[1,1219,1227,1,0],[0,1232,1240,1,0],[0,1240,1248,1,0],[0,1248,1256,1,0],[1,1261,1269,1,0],[1,1275,1283,1,0],[0,1289,1297,1,0],[1,1299,1307,1,0],[0,1335,1343,1,0],[1,1347,1355,1,0],[0,1360,1368,1,0],[1,1379,1387,1,0],[0,1392,1400,1,0],[1,1405,1413,1,0],[0,1418,1426,1,0],[1,1429,1437,1,0],[1,1437,1445,1,0],[1,1453,1461,1,0],[0,1466,1474,1,0],[0,1474,1482,1,0],[0,1482,1490,1,0],[1,1503,1511,1,0],[1,1512,1520,1,0],[1,1520,1528,1,0],[0,1535,1543,1,0],[0,1572,1580,1,0],[0,1580,1588,1,0],[1,1613,1621,1,0],[1,1621,1629,1,0],[0,1634,1642,1,0],[0,1642,1650,1,0],[1,1656,1664,1,0],[1,1664,1672,1,0],[1,1672,1680,1,0],[0,1685,1693,1,0],[1,1699,1707,1,0],[1,1707,1715,1,0],[0,1720,1728,1,0],[1,1728,1736,1,0],[0,1741,1749,1,0],[0,1749,1757,1,0],[0,1757,1765,1,0],[1,1797,1805,1,0],[0,1810,1818,1,0],[1,1824,1832,1,0],[0,1837,1845,1,0],[0,1845,1853,1,0],[1,1856,1864,1,0],[1,1864,1872,1,0],[1,1872,1880,1,0],[0,1885,1893,1,0],[0,1893,1901,1,0],[1,1904,1912,1,0],[1,1912,1920,1,0],[1,1929,1937,1,0],[0,1942,1950,1,0],[1,1951,1959,1,0],[0,1964,1972,1,0],[0,1974,1982,1,0],[0,1993,2001,1,0],[1,2007,2015,1,0],[0,2021,2029,1,0],[0,2029,2033,1,0],[1,2047,2055,1,0],[1,2055,2063,1,0],[1,2064,2072,1,0],[0,2077,2081,1,0],[0,2082,2086,1,0],[0,2086,2090,1,0],[0,2090,2094,1,0],[0,2095,2099,1,0],[0,2101,2105,1,0],[0,2105,2109,1,0],[0,2110,2114,1,0],[0,2114,2118,1,0],[0,2125,2129,1,0],[1,2136,2144,1,0],[1,2144,2152,1,0],[1,2152,2160,1,0],[0,2167,2171,1,0],[0,2171,2175,1,0],[1,2176,2184,1,0],[1,2185,2193,1,0],[0,2198,2202,1,0],[0,2202,2206,1,0],[1,2216,2224,1,0],[1,2229,2237,1,0],[0,2242,2250,1,0],[1,2250,2258,1,0],[1,2258,2266,1,0],[1,2266,2274,1,0],[1,2274,2278,1,0],[0,2283,2291,1,0],[0,2291,2299,1,0],[0,2299,2307,1,0],[1,2307,2315,1,0],[1,2315,2323,1,0],[1,2323,2331,1,0],[1,2334,2342,1,0],[1,2342,2346,1,0],[0,2351,2359,1,0],[0,2359,2367,1,0],[0,2367,2375,1,0],[0,2375,2383,1,0],[1,2401,2409,1,0],[0,2414,2422,1,0],[0,2427,2435,1,0],[1,2435,2443,1,0],[0,2448,2456,1,0],[0,2467,2475,1,0],[0,2475,2483,1,0],[0,2494,2502,1,0],[1,2517,2525,1,0],[1,2525,2533,1,0],[0,2538,2546,1,0],[1,2559,2567,1,0],[0,2572,2580,1,0],[1,2584,2592,1,0],[1,2592,2600,1,0],[0,2605,2613,1,0],[1,2613,2621,1,0],[0,2626,2634,1,0],[0,2634,2642,1,0],[0,2642,2650,1,0],[0,2650,2658,1,0],[1,2659,2667,1,0],[1,2667,2675,1,0],[0,2680,2688,1,0],[1,2688,2696,1,0],[1,2696,2704,1,0],[1,2704,2712,1,0],[1,2712,2720,1,0],[1,2720,2728,1,0],[0,2737,2745,1,0],[1,2745,2753,1,0],[1,2753,2761,1,0],[1,2761,2769,1,0],[1,2769,2773,1,0],[0,2778,2782,1,0],[0,2782,2790,1,0],[0,2790,2798,1,0],[0,2798,2806,1,0],[0,2806,2814,1,0],[0,2814,2822,1,0],[0,2822,2826,1,0],[1,2828,2836,1,0],[0,2841,2849,1,0],[1,2849,2857,1,0],[1,2857,2865,1,0],[0,2870,2878,1,0],[0,2878,2886,1,0],[0,2886,2894,1,0],[0,2894,2898,1,0],[1,2900,2908,1,0],[1,2908,2916,1,0],[1,2917,2925,1,0],[1,2925,2933,1,0],[1,2933,2941,1,0],[1,2941,2949,1,0],[1,2949,2957,1,0],[1,2957,2965,1,0],[1,2965,2969,1,0],[0,2974,2982,1,0],[0,2982,2990,1,0],[0,2990,2998,1,0],[0,2998,3006,1,0],[0,3006,3010,1,0],[0,3010,3018,1,0],[0,3018,3026,1,0],[1,3026,3034,1,0],[1,3034,3042,1,0],[1,3042,3050,1,0],[1,3050,3058,1,0],[1,3058,3062,1,0],[0,3067,3075,1,0],[0,3075,3083,1,0],[0,3083,3087,1,0],[1,3090,3098,1,0],[1,3100,3108,1,0],[1,3110,3118,1,0],[1,3118,3126,1,0],[1,3128,3132,1,0],[0,3137,3145,1,0],[0,3145,3153,1,0],[0,3153,3161,1,0],[0,3161,3169,1,0],[0,3169,3173,1,0],[0,3173,3181,1,0],[1,3181,3189,1,0],[1,3189,3197,1,0],[1,3206,3214,1,0],[1,3214,3222,1,0],[1,3222,3226,1,0],[0,3231,3239,1,0],[0,3239,3247,1,0],[0,3247,3255,1,0],[0,3255,3259,1,0],[0,3259,3267,1,0],[1,3273,3281,1,0],[0,3286,3294,1,0],[0,3294,3302,1,0],[0,3302,3310,1,0],[0,3310,3314,1,0],[1,3316,3324,1,0],[0,3329,3337,1,0],[0,3337,3345,1,0],[0,3345,3353,1,0],[0,3353,3361,1,0],[0,3361,3365,1,0],[1,3369,3377,1,0],[1,3377,3385,1,0],[1,3405,3413,1,0],[1,3413,3421,1,0],[1,3421,3429,1,0],[1,3429,3437,1,0],[0,3442,3450,1,0],[0,3450,3458,1,0],[1,3460,3468,1,0],[1,3468,3476,1,0],[1,3476,3484,1,0],[1,3484,3492,1,0],[1,3492,3500,1,0],[1,3500,3504,1,0],[0,3509,3517,1,0],[0,3517,3525,1,0],[0,3525,3529,1,0],[0,3549,3557,1,0],[0,3557,3565,1,0],[0,3565,3573,1,0],[0,3573,3581,1,0],[0,3581,3585,1,0],[1,3596,3604,1,0],[1,3610,3618,1,0],[1,3625,3633,1,0],[0,3638,3646,1,0],[0,3646,3654,1,0],[1,3655,3663,1,0],[0,3668,3676,1,0],[0,3676,3684,1,0],[0,3684,3688,1,0],[0,3688,3696,1,0],[1,3702,3710,1,0],[1,3710,3718,1,0],[0,3723,3731,1,0],[1,3737,3745,1,0],[1,3745,3753,1,0],[0,3758,3766,1,0],[1,3766,3774,1,0],[0,3779,3787,1,0],[0,3787,3791,1,0],[1,3793,3801,1,0],[1,3801,3809,1,0],[1,3809,3817,1,0],[0,3822,3830,1,0],[0,3830,3838,1,0],[0,3838,3846,1,0],[0,3846,3854,1,0],[0,3854,3858,1,0],[1,3860,3868,1,0],[1,3880,3888,1,0],[0,3893,3901,1,0],[0,3901,3909,1,0],[0,3909,3917,1,0],[0,3917,3925,1,0],[0,3925,3929,1,0],[1,3931,3939,1,0],[0,3967,3975,1,0],[0,3975,3983,1,0],[0,3983,3991,1,0],[0,3991,3999,1,0],[0,3999,4003,1,0],[0,4003,4011,1,0],[0,4011,4019,1,0],[0,4019,4027,1,0],[0,4027,4035,1,0],[0,4035,4039,1,0]],[[0,2,10,1,0],[0,10,18,1,0],[0,20,28,1,0],[0,36,40,1,0],[0,41,45,1,0],[0,73,77,1,0],[0,81,85,1,0],[0,87,91,1,0],[0,91,95,1,0],[1,97,105,1,0],[1,121,129,1,0],[1,134,142,1,0],[0,157,161,1,0],[1,167,175,1,0],[0,180,184,1,0],[1,190,198,1,0],[1,209,217,1,0],[1,218,226,1,0],[1,234,242,1,0],[0,247,255,1,0],[1,255,263,1,0],[0,268,276,1,0],[0,276,284,1,0],[0,284,292,1,0],[1,299,307,1,0],[1,319,327,1,0],[0,332,340,1,0],[0,340,348,1,0],[0,360,368,1,0],[0,368,376,1,0],[1,377,385,1,0],[1,385,393,1,0],[0,398,406,1,0],[0,420,428,1,0],[1,435,443,1,0],[1,445,453,1,0],[1,453,461,1,0],[0,466,474,1,0],[1,477,485,1,0],[0,490,498,1,0],[0,498,506,1,0],[0,506,514,1,0],[1,524,532,1,0],[0,559,567,1,0],[0,570,578,1,0],[1,580,588,1,0],[1,597,605,1,0],[1,616,624,1,0],[0,629,637,1,0],[1,644,652,1,0],[0,657,665,1,0],[0,665,673,1,0],[1,678,686,1,0],[0,693,701,1,0],[1,707,715,1,0],[1,719,727,1,0],[0,745,753,1,0],[0,753,761,1,0],[0,773,781,1,0],[1,788,796,1,0],[1,796,804,1,0],[1,808,816,1,0],[1,816,824,1,0],[0,829,837,1,0],[0,838,846,1,0],[0,852,860,1,0],[1,860,868,1,0],[0,875,883,1,0],[0,883,891,1,0],[1,891,899,1,0],[1,910,918,1,0],[0,923,931,1,0],[1,933,941,1,0],[0,948,956,1,0],[0,962,970,1,0],[1,990,998,1,0],[0,1004,1012,1,0],[1,1027,1035,1,0],[1,1035,1043,1,0],[0,1052,1060,1,0],[1,1067,1075,1,0],[1,1091,1099,1,0],[0,1104,1112,1,0],[0,1112,1120,1,0],[0,1120,1128,1,0],[1,1129,1137,1,0],[1,1139,1147,1,0],[0,1152,1160,1,0],[0,1160,1168,1,0],[1,1169,1177,1,0],[1,1177,1185,1,0],[0,1192,1200,1,0],[1,1210,1218,1,0],[0,1234,1242,1,0],[0,1246,1254,1,0],[1,1264,1272,1,0],[0,1277,1285,1,0],[1,1287,1295,1,0],[0,1316,1324,1,0],[1,1332,1340,1,0],[1,1340,1348,1,0],[0,1354,1362,1,0],[1,1368,1376,1,0],[1,1376,1384,1,0],[0,1389,1397,1,0],[1,1401,1409,1,0],[1,1410,1418,1,0],[1,1423,1431,1,0],[1,1431,1439,1,0],[0,1444,1452,1,0],[0,1452,1460,1,0],[0,1460,1468,1,0],[0,1468,1476,1,0],[0,1476,1484,1,0],[0,1484,1492,1,0],[1,1507,1515,1,0],[1,1515,1523,1,0],[0,1528,1536,1,0],[0,1536,1544,1,0],[0,1544,1552,1,0],[0,1552,1560,1,0],[1,1562,1570,1,0],[1,1594,1602,1,0],[1,1606,1614,1,0],[0,1620,1628,1,0],[1,1630,1638,1,0],[1,1647,1655,1,0],[1,1655,1663,1,0],[0,1668,1676,1,0],[1,1683,1691,1,0],[1,1699,1707,1,0],[0,1712,1720,1,0],[0,1724,1732,1,0],[1,1741,1749,1,0],[0,1754,1762,1,0],[1,1762,1770,1,0],[1,1781,1789,1,0],[0,1810,1818,1,0],[0,1820,1828,1,0],[1,1834,1842,1,0],[0,1847,1855,1,0],[1,1865,1873,1,0],[1,1873,1881,1,0],[0,1886,1894,1,0],[0,1894,1902,1,0],[0,1906,1914,1,0],[1,1922,1930,1,0],[1,1930,1938,1,0],[1,1938,1946,1,0],[0,1951,1959,1,0],[1,1965,1973,1,0],[0,1978,1986,1,0],[0,1986,1994,1,0],[0,1996,2004,1,0],[0,2007,2015,1,0],[0,2015,2019,1,0],[1,2041,2049,1,0],[1,2053,2061,1,0],[0,2066,2074,1,0],[1,2080,2088,1,0],[0,2093,2101,1,0],[1,2102,2110,1,0],[0,2115,2123,1,0],[1,2130,2138,1,0],[0,2143,2151,1,0],[0,2156,2164,1,0],[1,2170,2178,1,0],[1,2178,2186,1,0],[1,2192,2200,1,0],[0,2205,2213,1,0],[0,2215,2223,1,0],[1,2230,2238,1,0],[0,2243,2251,1,0],[0,2251,2259,1,0],[1,2262,2270,1,0],[0,2275,2283,1,0],[1,2289,2297,1,0],[0,2302,2310,1,0],[1,2310,2318,1,0],[1,2323,2331,1,0],[0,2336,2344,1,0],[0,2344,2348,1,0],[0,2348,2356,1,0],[0,2359,2367,1,0],[0,2367,2375,1,0],[1,2378,2386,1,0],[0,2391,2399,1,0],[0,2399,2407,1,0],[0,2408,2412,1,0],[0,2412,2416,1,0],[1,2426,2434,1,0],[1,2435,2443,1,0],[0,2448,2452,1,0],[1,2466,2474,1,0],[1,2503,2511,1,0],[1,2519,2527,1,0],[0,2534,2542,1,0],[0,2542,2550,1,0],[1,2551,2559,1,0],[1,2561,2569,1,0],[0,2574,2578,1,0],[0,2578,2586,1,0],[1,2590,2598,1,0],[1,2605,2613,1,0],[1,2621,2629,1,0],[0,2634,2638,1,0],[0,2638,2646,1,0],[0,2646,2654,1,0],[1,2657,2665,1,0],[1,2665,2673,1,0],[0,2678,2686,1,0],[0,2686,2690,1,0],[0,2690,2698,1,0],[0,2698,2706,1,0],[1,2709,2717,1,0],[1,2717,2725,1,0],[0,2730,2738,1,0],[1,2741,2749,1,0],[1,2749,2757,1,0],[0,2762,2770,1,0],[0,2770,2774,1,0],[1,2791,2799,1,0],[1,2799,2807,1,0],[0,2823,2831,1,0],[1,2860,2868,1,0],[1,2868,2876,1,0],[1,2876,2884,1,0],[1,2884,2892,1,0],[0,2897,2901,1,0],[1,2906,2914,1,0],[0,2919,2923,1,0],[0,2923,2927,1,0],[0,2933,2941,1,0],[1,2941,2949,1,0],[1,2949,2957,1,0],[1,2957,2965,1,0],[0,2970,2978,1,0],[1,2978,2986,1,0],[0,2991,2999,1,0],[1,2999,3007,1,0],[0,3012,3020,1,0],[0,3025,3033,1,0],[1,3034,3042,1,0],[1,3049,3057,1,0],[0,3062,3070,1,0],[1,3070,3078,1,0],[1,3078,3086,1,0],[0,3091,3095,1,0],[0,3096,3100,1,0],[0,3100,3104,1,0],[1,3106,3114,1,0],[0,3119,3127,1,0],[0,3127,3135,1,0],[0,3135,3143,1,0],[0,3143,3151,1,0],[0,3151,3155,1,0],[1,3157,3165,1,0],[1,3165,3173,1,0],[1,3173,3181,1,0],[0,3186,3194,1,0],[0,3194,3202,1,0],[0,3202,3210,1,0],[0,3210,3218,1,0],[0,3218,3222,1,0],[0,3222,3230,1,0],[0,3230,3238,1,0],[0,3238,3246,1,0],[0,3246,3254,1,0],[1,3255,3263,1,0],[1,3263,3271,1,0],[0,3276,3280,1,0],[0,3280,3288,1,0],[1,3292,3300,1,0],[1,3300,3308,1,0],[0,3313,3317,1,0],[1,3320,3328,1,0],[0,3333,3341,1,0],[0,3341,3349,1,0],[0,3349,3357,1,0],[0,3357,3361,1,0],[0,3361,3365,1,0],[0,3365,3373,1,0],[0,3373,3381,1,0],[0,3381,3389,1,0],[0,3389,3397,1,0],[0,3397,3401,1,0],[0,3401,3409,1,0],[0,3416,3424,1,0],[0,3424,3432,1,0],[0,3432,3440,1,0],[0,3440,3448,1,0],[0,3448,3452,1,0],[0,3459,3463,1,0],[0,3463,3471,1,0],[0,3471,3479,1,0],[0,3479,3487,1,0],[0,3487,3491,1,0],[0,3543,3547,1,0],[1,3571,3579,1,0],[0,3584,3592,1,0],[0,3592,3600,1,0],[0,3600,3608,1,0],[1,3611,3619,1,0],[0,3624,3632,1,0],[0,3632,3636,1,0],[0,3636,3644,1,0],[0,3644,3652,1,0],[0,3652,3660,1,0],[0,3660,3668,1,0],[0,3668,3672,1,0],[1,3694,3702,1,0],[1,3702,3710,1,0],[1,3710,3714,1,0],[1,3714,3722,1,0],[1,3722,3730,1,0],[1,3730,3738,1,0],[1,3738,3746,1,0],[1,3746,3750,1,0],[1,3750,3758,1,0],[1,3758,3766,1,0],[1,3766,3774,1,0],[1,3774,3782,1,0],[1,3782,3786,1,0],[0,3791,3799,1,0],[0,3799,3807,1,0],[0,3807,3815,1,0],[0,3815,3823,1,0],[0,3823,3827,1,0],[0,3828,3836,1,0],[0,3836,3844,1,0],[1,3849,3857,1,0],[1,3857,3865,1,0],[1,3865,3873,1,0],[1,3873,3881,1,0],[1,3881,3885,1,0],[0,3890,3898,1,0],[0,3898,3906,1,0],[0,3906,3910,1,0],[1,3915,3923,1,0],[1,3923,3931,1,0],[1,3931,3939,1,0],[1,3939,3947,1,0],[1,3947,3951,1,0],[0,3956,3964,1,0],[0,3964,3972,1,0],[0,3972,3980,1,0],[0,3980,3988,1,0],[0,3988,3992,1,0],[0,4042,4050,1,0],[1,4055,4063,1,0],[1,4063,4071,1,0],[1,4071,4079,1,0],[1,4079,4087,1,0],[1,4087,4091,1,0],[0,4096,4104,1,0],[0,4104,4112,1,0],[0,4112,4120,1,0],[0,4120,4124,1,0],[1,4128,4136,1,0],[1,4136,4144,1,0],[1,4144,4152,1,0],[1,4152,4160,1,0],[1,4160,4164,1,0],[1,4164,4172,1,0],[1,4172,4180,1,0],[1,4180,4188,1,0],[1,4188,4196,1,0],[1,4198,4202,1,0]],[[0,2,10,1,0],[0,10,18,1,0],[0,19,27,1,0],[0,31,35,1,0],[0,35,39,1,0],[0,67,71,1,0],[0,73,77,1,0],[0,79,83,1,0],[0,83,87,1,0],[1,97,105,1,0],[1,121,129,1,0],[1,146,154,1,0],[0,159,163,1,0],[1,165,173,1,0],[0,178,182,1,0],[0,182,190,1,0],[1,192,200,1,0],[1,221,229,1,0],[1,239,247,1,0],[1,249,257,1,0],[1,257,265,1,0],[0,270,278,1,0],[1,287,295,1,0],[0,300,308,1,0],[1,309,317,1,0],[0,322,330,1,0],[0,330,338,1,0],[0,338,346,1,0],[1,372,380,1,0],[1,380,388,1,0],[0,393,401,1,0],[0,401,409,1,0],[0,409,417,1,0],[1,420,428,1,0],[0,439,447,1,0],[1,450,458,1,0],[1,458,466,1,0],[0,471,479,1,0],[1,483,491,1,0],[0,496,504,1,0],[0,514,522,1,0],[0,522,530,1,0],[0,536,544,1,0],[1,563,571,1,0],[0,578,586,1,0],[1,586,594,1,0],[1,605,613,1,0],[1,617,625,1,0],[1,630,638,1,0],[0,643,651,1,0],[1,651,659,1,0],[0,664,672,1,0],[1,676,684,1,0],[0,689,697,1,0],[1,699,707,1,0],[0,712,720,1,0],[1,730,738,1,0],[0,745,753,1,0],[1,756,764,1,0],[1,772,780,1,0],[1,780,788,1,0],[0,793,801,1,0],[1,802,810,1,0],[0,815,823,1,0],[0,824,832,1,0],[0,832,840,1,0],[0,840,848,1,0],[1,868,876,1,0],[0,882,890,1,0],[0,890,898,1,0],[1,938,946,1,0],[1,946,954,1,0],[0,959,967,1,0],[0,967,975,1,0],[0,976,984,1,0],[0,984,992,1,0],[1,1010,1018,1,0],[1,1018,1026,1,0],[1,1037,1045,1,0],[1,1066,1074,1,0],[1,1074,1082,1,0],[1,1082,1090,1,0],[0,1095,1103,1,0],[0,1103,1111,1,0],[1,1130,1138,1,0],[0,1143,1151,1,0],[1,1157,1165,1,0],[0,1170,1178,1,0],[0,1181,1189,1,0],[1,1196,1204,1,0],[1,1212,1220,1,0],[0,1225,1233,1,0],[1,1238,1246,1,0],[0,1251,1259,1,0],[0,1259,1267,1,0],[1,1274,1282,1,0],[0,1287,1295,1,0],[1,1299,1307,1,0],[0,1312,1320,1,0],[1,1323,1331,1,0],[0,1336,1344,1,0],[1,1350,1358,1,0],[0,1363,1371,1,0],[0,1371,1379,1,0],[0,1386,1394,1,0],[1,1398,1406,1,0],[1,1410,1418,1,0],[1,1418,1426,1,0],[0,1431,1439,1,0],[0,1439,1447,1,0],[0,1447,1455,1,0],[0,1455,1459,1,0],[0,1459,1467,1,0],[1,1473,1481,1,0],[1,1481,1489,1,0],[0,1499,1507,1,0],[1,1521,1529,1,0],[1,1529,1537,1,0],[1,1537,1545,1,0],[0,1550,1558,1,0],[0,1561,1569,1,0],[1,1571,1579,1,0],[0,1584,1592,1,0],[0,1592,1600,1,0],[0,1600,1608,1,0],[1,1616,1624,1,0],[1,1640,1648,1,0],[1,1648,1656,1,0],[0,1661,1669,1,0],[0,1669,1677,1,0],[1,1685,1693,1,0],[1,1704,1712,1,0],[0,1717,1725,1,0],[1,1739,1747,1,0],[1,1747,1755,1,0],[0,1760,1768,1,0],[1,1773,1781,1,0],[1,1782,1790,1,0],[0,1795,1803,1,0],[0,1814,1822,1,0],[1,1827,1835,1,0],[0,1840,1848,1,0],[0,1848,1856,1,0],[0,1864,1872,1,0],[1,1881,1889,1,0],[0,1894,1902,1,0],[1,1906,1914,1,0],[0,1929,1937,1,0],[1,1939,1947,1,0],[1,1947,1955,1,0],[1,1956,1964,1,0],[0,1969,1977,1,0],[1,1979,1987,1,0],[1,1992,2000,1,0],[0,2005,2013,1,0],[0,2013,2021,1,0],[0,2021,2025,1,0],[0,2025,2033,1,0],[1,2034,2042,1,0],[0,2047,2055,1,0],[1,2062,2070,1,0],[1,2080,2088,1,0],[0,2093,2101,1,0],[1,2103,2111,1,0],[1,2111,2119,1,0],[0,2126,2134,1,0],[0,2134,2142,1,0],[1,2175,2183,1,0],[1,2183,2191,1,0],[0,2196,2204,1,0],[0,2204,2212,1,0],[1,2213,2221,1,0],[1,2232,2240,1,0],[0,2245,2253,1,0],[0,2253,2261,1,0],[0,2261,2269,1,0],[1,2271,2279,1,0],[0,2286,2294,1,0],[1,2303,2311,1,0],[0,2316,2324,1,0],[0,2324,2328,1,0],[0,2328,2332,1,0],[1,2345,2353,1,0],[1,2369,2377,1,0],[1,2377,2385,1,0],[0,2390,2398,1,0],[0,2398,2406,1,0],[0,2416,2424,1,0],[1,2443,2451,1,0],[0,2456,2460,1,0],[1,2465,2473,1,0],[0,2478,2486,1,0],[0,2486,2494,1,0],[1,2501,2509,1,0],[0,2514,2522,1,0],[0,2523,2531,1,0],[1,2533,2541,1,0],[0,2550,2558,1,0],[1,2561,2569,1,0],[0,2574,2582,1,0],[0,2582,2590,1,0],[0,2590,2598,1,0],[0,2598,2606,1,0],[1,2607,2615,1,0],[1,2618,2626,1,0],[1,2628,2636,1,0],[0,2641,2649,1,0],[0,2655,2659,1,0],[0,2663,2667,1,0],[1,2674,2682,1,0],[1,2682,2690,1,0],[1,2696,2704,1,0],[1,2708,2716,1,0],[0,2721,2725,1,0],[0,2725,2733,1,0],[0,2733,2737,1,0],[1,2742,2750,1,0],[0,2755,2759,1,0],[0,2759,2763,1,0],[1,2767,2775,1,0],[1,2775,2783,1,0],[1,2783,2791,1,0],[1,2799,2807,1,0],[0,2812,2816,1,0],[0,2816,2820,1,0],[0,2820,2824,1,0],[0,2824,2828,1,0],[0,2828,2836,1,0],[0,2836,2844,1,0],[1,2845,2853,1,0],[0,2858,2866,1,0],[0,2866,2874,1,0],[1,2877,2885,1,0],[1,2885,2893,1,0],[0,2898,2902,1,0],[1,2906,2914,1,0],[0,2919,2927,1,0],[1,2929,2937,1,0],[1,2937,2945,1,0],[1,2945,2953,1,0],[1,2953,2961,1,0],[0,2966,2970,1,0],[0,2970,2974,1,0],[1,2976,2984,1,0],[1,2984,2992,1,0],[1,2992,3000,1,0],[0,3005,3013,1,0],[1,3013,3021,1,0],[0,3026,3034,1,0],[0,3034,3042,1,0],[1,3043,3051,1,0],[0,3056,3064,1,0],[0,3064,3068,1,0],[1,3070,3078,1,0],[1,3078,3086,1,0],[1,3090,3098,1,0],[0,3103,3111,1,0],[0,3111,3119,1,0],[0,3119,3127,1,0],[0,3127,3135,1,0],[0,3135,3139,1,0],[1,3141,3149,1,0],[1,3149,3157,1,0],[1,3157,3165,1,0],[0,3192,3200,1,0],[1,3201,3209,1,0],[0,3214,3222,1,0],[0,3222,3230,1,0],[0,3230,3238,1,0],[0,3238,3242,1,0],[1,3254,3262,1,0],[0,3280,3288,1,0],[0,3288,3296,1,0],[0,3296,3304,1,0],[0,3304,3312,1,0],[0,3312,3316,1,0],[0,3320,3328,1,0],[0,3328,3336,1,0],[1,3341,3349,1,0],[1,3350,3358,1,0],[0,3363,3371,1,0],[0,3371,3379,1,0],[0,3379,3383,1,0],[0,3383,3391,1,0],[0,3391,3399,1,0],[0,3399,3407,1,0],[0,3407,3415,1,0],[0,3415,3419,1,0],[0,3472,3480,1,0],[0,3480,3488,1,0],[0,3488,3496,1,0],[0,3496,3504,1,0],[0,3504,3512,1,0],[0,3512,3520,1,0],[0,3520,3524,1,0],[0,3524,3532,1,0],[0,3532,3540,1,0],[0,3540,3544,1,0],[1,3559,3567,1,0],[1,3567,3575,1,0],[1,3575,3583,1,0],[1,3583,3591,1,0],[1,3591,3595,1,0],[0,3689,3697,1,0],[0,3697,3705,1,0],[0,3706,3714,1,0],[0,3714,3722,1,0],[0,3722,3726,1,0],[0,3726,3734,1,0],[0,3734,3742,1,0],[0,3742,3750,1,0],[0,3750,3758,1,0],[0,3758,3762,1,0],[0,3762,3770,1,0],[0,3770,3778,1,0],[0,3778,3786,1,0],[0,3786,3794,1,0],[0,3794,3798,1,0],[1,3801,3809,1,0],[1,3809,3817,1,0],[1,3817,3825,1,0],[1,3825,3833,1,0],[1,3833,3837,1,0],[1,3837,3845,1,0],[1,3845,3853,1,0],[1,3879,3887,1,0],[1,3887,3895,1,0],[1,3895,3899,1,0],[1,3939,3947,1,0],[1,3947,3955,1,0],[1,3955,3963,1,0],[1,3963,3971,1,0],[1,3971,3975,1,0],[1,3975,3983,1,0],[1,3983,3991,1,0],[1,3991,3999,1,0],[1,3999,4007,1,0],[1,4007,4011,1,0],[0,4016,4024,1,0],[0,4024,4032,1,0],[0,4032,4040,1,0],[0,4040,4048,1,0],[0,4048,4052,1,0],[1,4057,4065,1,0],[1,4065,4073,1,0],[1,4073,4081,1,0],[1,4081,4089,1,0],[1,4089,4093,1,0],[0,4098,4106,1,0],[0,4106,4114,1,0],[0,4114,4122,1,0],[0,4122,4130,1,0],[0,4130,4134,1,0],[0,4134,4142,1,0],[0,4142,4150,1,0],[0,4150,4158,1,0],[0,4158,4166,1,0],[0,4166,4170,1,0],[1,4172,4180,1,0],[1,4180,4188,1,0],[1,4188,4196,1,0],[1,4196,4204,1,0],[1,4204,4208,1,0],[1,4225,4233,1,0],[1,4233,4241,1,0],[1,4241,4249,1,0],[1,4249,4257,1,0],[1,4257,4261,1,0]],[[0,3,11,1,0],[0,13,21,1,0],[0,22,30,1,0],[0,64,68,1,0],[0,69,73,1,0],[0,76,80,1,0],[0,83,87,1,0],[1,97,105,1,0],[0,110,114,1,0],[0,115,119,1,0],[1,122,130,1,0],[0,135,139,1,0],[1,139,147,1,0],[0,152,156,1,0],[1,169,177,1,0],[0,186,194,1,0],[1,197,205,1,0],[1,210,218,1,0],[1,227,235,1,0],[1,236,244,1,0],[1,252,260,1,0],[0,265,273,1,0],[0,273,281,1,0],[1,284,292,1,0],[0,297,305,1,0],[1,327,335,1,0],[1,339,347,1,0],[0,352,360,1,0],[1,360,368,1,0],[0,373,381,1,0],[0,381,389,1,0],[0,389,397,1,0],[1,397,405,1,0],[1,405,413,1,0],[0,418,426,1,0],[1,431,439,1,0],[0,444,452,1,0],[0,452,460,1,0],[0,460,468,1,0],[0,497,505,1,0],[0,505,513,1,0],[1,517,525,1,0],[1,536,544,1,0],[0,552,560,1,0],[1,583,591,1,0],[0,596,604,1,0],[1,606,614,1,0],[1,620,628,1,0],[1,639,647,1,0],[0,652,660,1,0],[0,660,668,1,0],[1,672,680,1,0],[1,688,696,1,0],[0,701,709,1,0],[1,716,724,1,0],[1,729,737,1,0],[1,737,745,1,0],[0,750,758,1,0],[0,758,766,1,0],[0,766,774,1,0],[0,774,782,1,0],[0,787,795,1,0],[1,820,828,1,0],[1,828,836,1,0],[0,841,849,1,0],[0,858,866,1,0],[1,867,875,1,0],[0,880,888,1,0],[0,889,897,1,0],[1,903,911,1,0],[0,916,924,1,0],[1,926,934,1,0],[0,939,947,1,0],[0,972,980,1,0],[1,984,992,1,0],[1,1001,1009,1,0],[1,1009,1017,1,0],[1,1017,1025,1,0],[1,1026,1034,1,0],[1,1034,1042,1,0],[0,1047,1055,1,0],[0,1055,1063,1,0],[0,1103,1111,1,0],[1,1119,1127,1,0],[0,1132,1140,1,0],[1,1142,1150,1,0],[1,1150,1158,1,0],[0,1163,1171,1,0],[0,1171,1179,1,0],[1,1182,1190,1,0],[1,1202,1210,1,0],[1,1217,1225,1,0],[0,1230,1238,1,0],[0,1238,1246,1,0],[0,1246,1254,1,0],[1,1254,1262,1,0],[0,1267,1275,1,0],[0,1275,1283,1,0],[1,1292,1300,1,0],[0,1305,1313,1,0],[0,1325,1333,1,0],[1,1341,1349,1,0],[0,1356,1364,1,0],[0,1364,1372,1,0],[1,1377,1385,1,0],[1,1385,1393,1,0],[1,1395,1403,1,0],[0,1408,1416,1,0],[0,1417,1425,1,0],[0,1428,1436,1,0],[1,1438,1446,1,0],[1,1447,1455,1,0],[0,1460,1464,1,0],[1,1472,1480,1,0],[0,1485,1493,1,0],[1,1495,1503,1,0],[1,1503,1511,1,0],[0,1516,1524,1,0],[1,1539,1547,1,0],[0,1552,1560,1,0],[0,1560,1568,1,0],[1,1575,1583,1,0],[0,1588,1596,1,0],[1,1601,1609,1,0],[0,1616,1624,1,0],[0,1626,1634,1,0],[1,1638,1646,1,0],[0,1651,1659,1,0],[1,1674,1682,1,0],[0,1687,1695,1,0],[1,1700,1708,1,0],[1,1721,1729,1,0],[1,1729,1737,1,0],[0,1742,1750,1,0],[1,1753,1761,1,0],[1,1773,1781,1,0],[0,1786,1794,1,0],[0,1794,1802,1,0],[0,1802,1810,1,0],[1,1816,1824,1,0],[0,1830,1838,1,0],[1,1847,1855,1,0],[1,1857,1865,1,0],[0,1870,1878,1,0],[0,1878,1886,1,0],[0,1886,1894,1,0],[1,1900,1908,1,0],[0,1913,1921,1,0],[1,1925,1933,1,0],[1,1933,1941,1,0],[1,1941,1949,1,0],[0,1954,1962,1,0],[1,1968,1976,1,0],[0,1981,1989,1,0],[1,1990,1998,1,0],[0,2004,2012,1,0],[1,2035,2043,1,0],[1,2044,2052,1,0],[0,2059,2067,1,0],[1,2073,2081,1,0],[0,2086,2094,1,0],[0,2094,2102,1,0],[0,2102,2106,1,0],[0,2106,2110,1,0],[0,2114,2122,1,0],[1,2124,2132,1,0],[0,2137,2145,1,0],[1,2170,2178,1,0],[1,2178,2186,1,0],[1,2186,2194,1,0],[1,2205,2213,1,0],[0,2218,2226,1,0],[0,2226,2234,1,0],[0,2234,2242,1,0],[0,2242,2250,1,0],[0,2250,2258,1,0],[1,2266,2274,1,0],[0,2280,2288,1,0],[0,2288,2296,1,0],[0,2297,2305,1,0],[1,2309,2317,1,0],[1,2317,2325,1,0],[0,2332,2340,1,0],[0,2347,2355,1,0],[0,2355,2359,1,0],[0,2364,2372,1,0],[1,2375,2383,1,0],[1,2383,2391,1,0],[1,2396,2404,1,0],[0,2409,2417,1,0],[1,2423,2431,1,0],[0,2436,2444,1,0],[0,2444,2452,1,0],[1,2459,2467,1,0],[0,2472,2480,1,0],[0,2480,2484,1,0],[0,2485,2493,1,0],[1,2500,2508,1,0],[0,2513,2521,1,0],[0,2522,2530,1,0],[0,2530,2538,1,0],[0,2538,2542,1,0],[1,2556,2564,1,0],[1,2564,2572,1,0],[1,2572,2580,1,0],[1,2580,2588,1,0],[0,2593,2601,1,0],[0,2601,2609,1,0],[1,2612,2620,1,0],[0,2625,2633,1,0],[1,2638,2646,1,0],[1,2655,2663,1,0],[1,2664,2672,1,0],[1,2672,2680,1,0],[0,2685,2689,1,0],[0,2689,2693,1,0],[1,2695,2703,1,0],[1,2703,2711,1,0],[0,2718,2726,1,0],[0,2726,2730,1,0],[0,2730,2738,1,0],[0,2770,2778,1,0],[0,2778,2786,1,0],[0,2788,2796,1,0],[1,2797,2805,1,0],[1,2805,2813,1,0],[0,2820,2824,1,0],[1,2837,2845,1,0],[1,2845,2853,1,0],[1,2853,2861,1,0],[1,2861,2869,1,0],[0,2874,2878,1,0],[1,2883,2891,1,0],[0,2896,2904,1,0],[1,2905,2913,1,0],[1,2913,2921,1,0],[0,2926,2934,1,0],[0,2942,2946,1,0],[1,2948,2956,1,0],[1,2956,2964,1,0],[0,2969,2973,1,0],[0,2973,2977,1,0],[1,2979,2987,1,0],[0,2992,2996,1,0],[0,2996,3004,1,0],[1,3004,3012,1,0],[0,3017,3025,1,0],[0,3026,3034,1,0],[1,3040,3048,1,0],[0,3053,3057,1,0],[1,3059,3067,1,0],[0,3072,3080,1,0],[1,3082,3090,1,0],[1,3090,3098,1,0],[1,3102,3110,1,0],[1,3116,3124,1,0],[1,3127,3135,1,0],[1,3135,3143,1,0],[0,3148,3156,1,0],[0,3156,3164,1,0],[0,3164,3172,1,0],[0,3172,3180,1,0],[0,3180,3188,1,0],[0,3188,3192,1,0],[1,3194,3202,1,0],[1,3203,3211,1,0],[0,3216,3220,1,0],[0,3220,3228,1,0],[0,3228,3236,1,0],[0,3236,3244,1,0],[0,3244,3252,1,0],[0,3252,3256,1,0],[0,3271,3279,1,0],[0,3279,3287,1,0],[1,3293,3301,1,0],[1,3301,3309,1,0],[0,3316,3324,1,0],[0,3324,3332,1,0],[0,3332,3336,1,0],[1,3345,3353,1,0],[0,3365,3369,1,0],[0,3376,3380,1,0],[0,3380,3388,1,0],[0,3388,3396,1,0],[0,3396,3404,1,0],[0,3404,3412,1,0],[0,3412,3416,1,0],[0,3416,3424,1,0],[0,3424,3432,1,0],[0,3432,3440,1,0],[0,3440,3448,1,0],[0,3448,3452,1,0],[0,3452,3460,1,0],[0,3460,3468,1,0],[0,3468,3476,1,0],[0,3476,3484,1,0],[0,3484,3488,1,0],[0,3514,3518,1,0],[0,3563,3571,1,0],[0,3571,3579,1,0],[0,3579,3587,1,0],[0,3587,3595,1,0],[0,3595,3599,1,0],[1,3601,3609,1,0],[1,3609,3617,1,0],[1,3617,3625,1,0],[1,3626,3634,1,0],[1,3634,3638,1,0],[1,3645,3653,1,0],[1,3653,3661,1,0],[1,3661,3669,1,0],[1,3669,3677,1,0],[1,3677,3681,1,0],[0,3727,3735,1,0],[0,3735,3743,1,0],[0,3743,3751,1,0],[0,3751,3759,1,0],[0,3759,3763,1,0],[0,3766,3774,1,0],[0,3774,3782,1,0],[0,3782,3790,1,0],[0,3790,3798,1,0],[0,3798,3802,1,0],[1,3877,3885,1,0],[1,3885,3893,1,0],[1,3893,3901,1,0],[1,3901,3909,1,0],[1,3909,3913,1,0],[1,3913,3921,1,0],[1,3921,3929,1,0],[1,3929,3937,1,0],[1,3937,3945,1,0],[1,3945,3949,1,0],[0,3954,3962,1,0],[0,3962,3970,1,0],[0,3970,3978,1,0],[0,3978,3986,1,0],[0,3986,3990,1,0],[0,3990,3998,1,0],[0,3998,4006,1,0],[0,4006,4014,1,0],[1,4014,4022,1,0],[1,4022,4030,1,0],[1,4030,4038,1,0],[1,4038,4046,1,0],[1,4048,4052,1,0],[0,4057,4065,1,0],[0,4065,4069,1,0],[1,4071,4079,1,0],[1,4080,4088,1,0],[1,4088,4096,1,0],[1,4096,4104,1,0],[1,4104,4108,1,0],[1,4108,4116,1,0],[1,4116,4124,1,0],[1,4124,4132,1,0],[1,4132,4140,1,0],[1,4140,4144,1,0],[0,4149,4157,1,0],[0,4157,4165,1,0],[0,4165,4173,1,0],[0,4173,4181,1,0],[0,4181,4185,1,0],[1,4187,4195,1,0],[1,4195,4203,1,0],[1,4203,4211,1,0],[1,4211,4219,1,0],[1,4219,4223,1,0]],[[0,2,10,1,0],[0,10,18,1,0],[0,18,26,1,0],[0,59,63,1,0],[0,65,69,1,0],[0,72,76,1,0],[0,77,81,1,0],[0,92,96,1,0],[1,97,105,1,0],[0,110,114,1,0],[0,114,118,1,0],[1,120,128,1,0],[0,133,137,1,0],[1,137,145,1,0],[1,167,175,1,0],[1,194,202,1,0],[1,208,216,1,0],[0,221,229,1,0],[0,229,237,1,0],[1,241,249,1,0],[1,249,257,1,0],[1,257,265,1,0],[0,272,280,1,0],[1,293,301,1,0],[1,301,309,1,0],[0,314,322,1,0],[0,322,330,1,0],[0,330,338,1,0],[1,347,355,1,0],[0,360,368,1,0],[1,370,378,1,0],[0,383,391,1,0],[1,407,415,1,0],[1,420,428,1,0],[1,428,436,1,0],[0,441,449,1,0],[0,449,457,1,0],[0,457,465,1,0],[1,465,473,1,0],[1,473,481,1,0],[0,506,514,1,0],[0,514,522,1,0],[0,532,540,1,0],[0,540,548,1,0],[1,558,566,1,0],[1,593,601,1,0],[1,601,609,1,0],[1,609,617,1,0],[0,622,630,1,0],[0,630,638,1,0],[1,657,665,1,0],[0,670,678,1,0],[1,682,690,1,0],[1,690,698,1,0],[0,703,711,1,0],[1,723,731,1,0],[1,739,747,1,0],[0,752,760,1,0],[1,765,773,1,0],[0,778,786,1,0],[0,786,794,1,0],[0,794,802,1,0],[0,810,818,1,0],[0,818,826,1,0],[1,830,838,1,0],[1,869,877,1,0],[0,884,892,1,0],[1,893,901,1,0],[0,907,915,1,0],[0,916,924,1,0],[0,924,932,1,0],[1,937,945,1,0],[0,967,975,1,0],[1,982,990,1,0],[1,990,998,1,0],[1,1007,1015,1,0],[1,1027,1035,1,0],[1,1044,1052,1,0],[0,1057,1065,1,0],[1,1068,1076,1,0],[1,1081,1089,1,0],[0,1094,1102,1,0],[0,1102,1110,1,0],[0,1110,1118,1,0],[0,1118,1126,1,0],[1,1132,1140,1,0],[1,1140,1148,1,0],[1,1160,1168,1,0],[0,1173,1181,1,0],[0,1181,1189,1,0],[0,1208,1216,1,0],[0,1222,1230,1,0],[0,1230,1238,1,0],[1,1240,1248,1,0],[1,1248,1256,1,0],[0,1261,1269,1,0],[1,1275,1283,1,0],[1,1283,1291,1,0],[0,1296,1304,1,0],[1,1306,1314,1,0],[1,1314,1322,1,0],[0,1327,1335,1,0],[0,1335,1343,1,0],[1,1359,1367,1,0],[0,1372,1380,1,0],[0,1380,1388,1,0],[1,1405,1413,1,0],[1,1418,1426,1,0],[0,1431,1439,1,0],[0,1439,1447,1,0],[0,1447,1455,1,0],[1,1463,1471,1,0],[1,1471,1479,1,0],[0,1484,1492,1,0],[1,1499,1507,1,0],[0,1512,1520,1,0],[0,1520,1528,1,0],[0,1533,1541,1,0],[1,1541,1549,1,0],[1,1550,1558,1,0],[0,1563,1571,1,0],[1,1582,1590,1,0],[0,1601,1609,1,0],[1,1612,1620,1,0],[0,1627,1635,1,0],[0,1635,1643,1,0],[0,1643,1651,1,0],[1,1654,1662,1,0],[1,1662,1670,1,0],[1,1673,1681,1,0],[0,1688,1696,1,0],[1,1710,1718,1,0],[0,1736,1744,1,0],[1,1744,1752,1,0],[1,1764,1772,1,0],[1,1772,1780,1,0],[1,1783,1791,1,0],[0,1796,1804,1,0],[0,1804,1812,1,0],[1,1823,1831,1,0],[0,1838,1846,1,0],[0,1846,1854,1,0],[1,1857,1865,1,0],[1,1876,1884,1,0],[0,1889,1897,1,0],[0,1897,1905,1,0],[0,1905,1913,1,0],[1,1915,1923,1,0],[0,1928,1936,1,0],[0,1936,1944,1,0],[1,1961,1969,1,0],[0,1974,1982,1,0],[1,1988,1996,1,0],[1,1996,2004,1,0],[1,2004,2012,1,0],[1,2012,2020,1,0],[0,2025,2033,1,0],[1,2043,2051,1,0],[1,2053,2061,1,0],[0,2066,2074,1,0],[1,2089,2097,1,0],[0,2106,2114,1,0],[1,2123,2131,1,0],[0,2136,2144,1,0],[0,2144,2152,1,0],[0,2153,2161,1,0],[1,2168,2176,1,0],[0,2188,2196,1,0],[1,2206,2214,1,0],[1,2223,2231,1,0],[1,2234,2242,1,0],[0,2247,2255,1,0],[0,2255,2263,1,0],[0,2263,2271,1,0],[1,2275,2283,1,0],[1,2283,2291,1,0],[0,2296,2304,1,0],[0,2304,2312,1,0],[0,2312,2320,1,0],[0,2322,2330,1,0],[0,2330,2338,1,0],[0,2338,2346,1,0],[0,2349,2357,1,0],[1,2362,2370,1,0],[1,2378,2386,1,0],[0,2391,2399,1,0],[0,2399,2407,1,0],[1,2413,2421,1,0],[1,2421,2429,1,0],[0,2434,2442,1,0],[0,2442,2450,1,0],[0,2450,2454,1,0],[1,2459,2467,1,0],[0,2476,2484,1,0],[0,2484,2492,1,0],[0,2492,2500,1,0],[1,2504,2512,1,0],[1,2519,2527,1,0],[0,2532,2536,1,0],[0,2537,2541,1,0],[0,2542,2546,1,0],[1,2555,2563,1,0],[1,2563,2571,1,0],[0,2578,2582,1,0],[0,2582,2586,1,0],[0,2586,2594,1,0],[0,2594,2602,1,0],[0,2602,2610,1,0],[1,2616,2624,1,0],[1,2624,2632,1,0],[1,2637,2645,1,0],[0,2651,2655,1,0],[1,2657,2665,1,0],[1,2665,2673,1,0],[1,2676,2684,1,0],[0,2689,2697,1,0],[0,2697,2701,1,0],[1,2717,2725,1,0],[1,2725,2733,1,0],[0,2741,2745,1,0],[0,2745,2749,1,0],[1,2776,2784,1,0],[1,2792,2800,1,0],[0,2805,2809,1,0],[1,2811,2819,1,0],[1,2819,2827,1,0],[0,2832,2836,1,0],[0,2837,2845,1,0],[0,2845,2853,1,0],[0,2853,2861,1,0],[0,2861,2869,1,0],[0,2870,2874,1,0],[1,2882,2890,1,0],[1,2890,2898,1,0],[1,2898,2906,1,0],[1,2916,2924,1,0],[1,2924,2932,1,0],[0,2937,2945,1,0],[1,2946,2954,1,0],[0,2959,2963,1,0],[1,2965,2973,1,0],[1,2973,2981,1,0],[1,2985,2993,1,0],[1,2993,3001,1,0],[1,3001,3009,1,0],[0,3015,3023,1,0],[0,3023,3031,1,0],[0,3031,3039,1,0],[0,3039,3047,1,0],[0,3048,3056,1,0],[0,3056,3064,1,0],[0,3064,3068,1,0],[0,3069,3077,1,0],[1,3080,3088,1,0],[1,3088,3096,1,0],[0,3108,3116,1,0],[0,3123,3131,1,0],[0,3144,3152,1,0],[1,3167,3175,1,0],[1,3175,3183,1,0],[1,3183,3191,1,0],[1,3191,3199,1,0],[1,3199,3203,1,0],[0,3208,3212,1,0],[1,3214,3222,1,0],[1,3222,3230,1,0],[0,3235,3243,1,0],[0,3243,3251,1,0],[0,3251,3259,1,0],[0,3259,3267,1,0],[0,3267,3271,1,0],[1,3273,3281,1,0],[1,3281,3289,1,0],[0,3294,3298,1,0],[0,3300,3308,1,0],[0,3308,3316,1,0],[0,3316,3324,1,0],[0,3324,3332,1,0],[0,3332,3336,1,0],[0,3361,3365,1,0],[1,3381,3389,1,0],[1,3395,3403,1,0],[1,3403,3411,1,0],[1,3414,3422,1,0],[0,3427,3435,1,0],[0,3435,3443,1,0],[1,3448,3456,1,0],[0,3461,3465,1,0],[0,3465,3469,1,0],[0,3469,3477,1,0],[0,3477,3485,1,0],[0,3485,3489,1,0],[0,3489,3497,1,0],[0,3497,3505,1,0],[0,3505,3513,1,0],[0,3513,3521,1,0],[0,3521,3525,1,0],[0,3541,3549,1,0],[0,3549,3557,1,0],[0,3557,3565,1,0],[0,3565,3573,1,0],[0,3573,3577,1,0],[0,3585,3593,1,0],[1,3595,3603,1,0],[1,3603,3611,1,0],[0,3616,3624,1,0],[0,3624,3632,1,0],[0,3632,3640,1,0],[0,3640,3648,1,0],[0,3648,3652,1,0],[0,3652,3660,1,0],[1,3663,3671,1,0],[1,3671,3679,1,0],[1,3679,3683,1,0],[0,3688,3696,1,0],[0,3696,3704,1,0],[0,3704,3708,1,0],[0,3708,3716,1,0],[0,3716,3724,1,0],[0,3724,3732,1,0],[0,3732,3740,1,0],[0,3740,3744,1,0],[0,3744,3752,1,0],[0,3752,3760,1,0],[0,3766,3770,1,0],[0,3770,3778,1,0],[0,3778,3786,1,0],[0,3786,3790,1,0],[1,3860,3868,1,0],[1,3868,3876,1,0],[1,3876,3884,1,0],[1,3884,3892,1,0],[1,3892,3896,1,0],[1,3896,3904,1,0],[1,3904,3912,1,0],[1,3912,3920,1,0],[1,3920,3928,1,0],[1,3928,3932,1,0],[1,3995,4003,1,0],[1,4003,4011,1,0],[1,4011,4019,1,0],[1,4019,4027,1,0],[1,4027,4031,1,0],[1,4054,4062,1,0],[1,4062,4070,1,0],[1,4070,4078,1,0],[1,4078,4086,1,0],[1,4086,4090,1,0],[0,4095,4103,1,0],[0,4103,4111,1,0],[0,4111,4119,1,0],[0,4119,4127,1,0],[0,4127,4131,1,0],[1,4136,4144,1,0],[1,4144,4152,1,0],[1,4152,4160,1,0],[1,4160,4168,1,0],[1,4168,4172,1,0],[0,4177,4185,1,0],[0,4185,4193,1,0],[0,4193,4201,1,0],[0,4201,4209,1,0],[0,4209,4213,1,0],[1,4301,4309,1,0],[1,4309,4317,1,0],[1,4317,4325,1,0],[1,4325,4333,1,0],[1,4333,4337,1,0]],[[0,0,8,1,0],[0,8,16,1,0],[0,22,30,1,0],[0,30,38,1,0],[0,38,46,1,0],[0,47,55,1,0],[0,55,63,1,0],[0,63,71,1,0],[0,71,79,1,0],[0,84,92,1,0],[0,92,100,1,0],[1,102,110,1,0],[1,112,120,1,0],[0,125,133,1,0],[0,133,137,1,0],[1,142,150,1,0],[1,153,161,1,0],[0,166,174,1,0],[0,174,182,1,0],[0,182,190,1,0],[0,190,198,1,0],[1,200,208,1,0],[1,218,226,1,0],[0,231,239,1,0],[1,243,251,1,0],[1,251,259,1,0],[0,264,272,1,0],[0,274,282,1,0],[1,289,297,1,0],[0,302,310,1,0],[1,317,325,1,0],[1,326,334,1,0],[0,339,347,1,0],[0,348,356,1,0],[0,356,364,1,0],[1,365,373,1,0],[0,378,386,1,0],[0,386,394,1,0],[0,394,402,1,0],[1,404,412,1,0],[1,422,430,1,0],[0,435,443,1,0],[0,443,447,1,0],[1,449,457,1,0],[1,459,467,1,0],[0,472,480,1,0],[0,482,490,1,0],[0,490,498,1,0],[1,513,521,1,0],[0,526,534,1,0],[1,535,543,1,0],[0,548,556,1,0],[1,559,567,1,0],[1,577,585,1,0],[1,585,593,1,0],[0,605,613,1,0],[0,616,624,1,0],[1,629,637,1,0],[0,642,650,1,0],[0,650,658,1,0],[1,660,668,1,0],[0,673,681,1,0],[0,681,689,1,0],[0,689,697,1,0],[1,703,711,1,0],[1,711,719,1,0],[1,719,727,1,0],[1,727,735,1,0],[0,743,751,1,0],[0,757,765,1,0],[0,765,769,1,0],[1,771,779,1,0],[1,784,792,1,0],[0,797,805,1,0],[0,807,811,1,0],[0,811,819,1,0],[0,819,827,1,0],[0,827,831,1,0],[1,838,846,1,0],[1,855,863,1,0],[1,865,873,1,0],[0,878,882,1,0],[1,884,892,1,0],[0,897,901,1,0],[0,901,909,1,0],[1,911,919,1,0],[0,924,928,1,0],[0,934,938,1,0],[0,942,946,1,0],[0,946,950,1,0],[0,955,959,1,0],[0,966,970,1,0],[0,970,978,1,0],[0,981,985,1,0],[1,991,999,1,0],[1,1004,1012,1,0],[0,1017,1021,1,0],[0,1021,1025,1,0],[1,1028,1036,1,0],[1,1040,1048,1,0],[1,1053,1061,1,0],[0,1066,1070,1,0],[0,1070,1074,1,0],[0,1074,1082,1,0],[1,1085,1093,1,0],[1,1093,1101,1,0],[0,1106,1114,1,0],[0,1114,1122,1,0],[0,1122,1130,1,0],[1,1137,1145,1,0],[0,1150,1158,1,0],[0,1158,1166,1,0],[0,1166,1174,1,0],[0,1174,1182,1,0],[1,1182,1190,1,0],[1,1190,1198,1,0],[1,1198,1206,1,0],[0,1211,1215,1,0],[1,1217,1225,1,0],[0,1230,1238,1,0],[0,1238,1242,1,0],[0,1242,1250,1,0],[1,1250,1258,1,0],[1,1258,1266,1,0],[0,1271,1279,1,0],[1,1279,1287,1,0],[0,1292,1300,1,0],[1,1301,1309,1,0],[0,1314,1322,1,0],[1,1322,1330,1,0],[0,1335,1343,1,0],[1,1343,1351,1,0],[0,1356,1364,1,0],[0,1364,1372,1,0],[0,1372,1380,1,0],[0,1380,1388,1,0],[0,1388,1396,1,0],[0,1397,1405,1,0],[0,1405,1409,1,0],[0,1409,1417,1,0],[0,1421,1429,1,0],[0,1429,1437,1,0],[1,1438,1446,1,0],[0,1451,1459,1,0],[1,1462,1470,1,0],[0,1475,1483,1,0],[0,1485,1493,1,0],[0,1493,1501,1,0],[0,1503,1511,1,0],[1,1512,1520,1,0],[1,1528,1536,1,0],[0,1541,1549,1,0],[0,1549,1557,1,0],[0,1557,1565,1,0],[0,1565,1569,1,0],[0,1571,1579,1,0],[1,1580,1588,1,0],[0,1593,1601,1,0],[0,1601,1609,1,0],[1,1612,1620,1,0],[1,1620,1628,1,0],[1,1633,1641,1,0],[0,1646,1654,1,0],[0,1654,1662,1,0],[1,1666,1674,1,0],[0,1679,1687,1,0],[1,1693,1701,1,0],[1,1701,1709,1,0],[0,1717,1725,1,0],[1,1725,1733,1,0],[0,1740,1748,1,0],[1,1755,1763,1,0],[1,1763,1771,1,0],[0,1776,1784,1,0],[0,1784,1792,1,0],[1,1795,1803,1,0],[0,1808,1816,1,0],[0,1817,1825,1,0],[0,1825,1833,1,0],[0,1833,1837,1,0],[1,1843,1851,1,0],[1,1851,1859,1,0],[1,1866,1874,1,0],[0,1879,1887,1,0],[0,1887,1895,1,0],[0,1895,1903,1,0],[0,1903,1911,1,0],[1,1912,1920,1,0],[1,1920,1928,1,0],[0,1933,1937,1,0],[0,1937,1945,1,0],[1,1945,1953,1,0],[1,1953,1961,1,0],[0,1966,1974,1,0],[0,1974,1982,1,0],[0,1984,1988,1,0],[0,1988,1996,1,0],[0,1996,2000,1,0],[0,2000,2008,1,0],[0,2010,2018,1,0],[0,2018,2022,1,0],[0,2070,2074,1,0],[1,2079,2087,1,0],[1,2087,2095,1,0],[1,2095,2103,1,0],[1,2105,2113,1,0],[1,2113,2121,1,0],[0,2126,2134,1,0],[0,2134,2142,1,0],[0,2142,2150,1,0],[0,2152,2160,1,0],[1,2160,2168,1,0],[1,2168,2176,1,0],[1,2176,2184,1,0],[1,2184,2192,1,0],[0,2197,2201,1,0],[0,2201,2209,1,0],[0,2209,2217,1,0],[1,2217,2225,1,0],[1,2225,2233,1,0],[0,2240,2244,1,0],[1,2247,2255,1,0],[1,2255,2263,1,0],[1,2263,2271,1,0],[0,2276,2280,1,0],[0,2280,2284,1,0],[0,2284,2292,1,0],[0,2292,2300,1,0],[1,2304,2312,1,0],[1,2312,2320,1,0],[1,2320,2328,1,0],[1,2330,2338,1,0],[0,2343,2347,1,0],[0,2363,2367,1,0],[1,2370,2378,1,0],[1,2387,2395,1,0],[1,2395,2403,1,0],[1,2403,2411,1,0],[0,2443,2451,1,0],[1,2457,2465,1,0],[0,2470,2474,1,0],[0,2474,2482,1,0],[0,2482,2490,1,0],[0,2490,2498,1,0],[1,2499,2507,1,0],[0,2512,2516,1,0],[0,2516,2524,1,0],[0,2524,2532,1,0],[0,2532,2540,1,0],[0,2540,2548,1,0],[0,2548,2552,1,0],[0,2552,2560,1,0],[0,2560,2568,1,0],[1,2597,2605,1,0],[0,2610,2618,1,0],[0,2618,2626,1,0],[0,2626,2630,1,0],[1,2662,2670,1,0],[1,2682,2690,1,0],[0,2695,2703,1,0],[0,2703,2711,1,0],[0,2711,2719,1,0],[0,2719,2727,1,0],[1,2730,2738,1,0],[1,2738,2746,1,0],[0,2751,2755,1,0],[0,2758,2766,1,0],[1,2785,2793,1,0],[1,2793,2801,1,0],[1,2801,2809,1,0],[0,2814,2822,1,0],[1,2826,2834,1,0],[0,2839,2847,1,0],[1,2852,2860,1,0],[1,2866,2874,1,0],[0,2881,2889,1,0],[0,2909,2917,1,0],[1,2932,2940,1,0],[1,2944,2952,1,0],[1,2952,2960,1,0],[1,2960,2968,1,0],[1,2968,2976,1,0],[1,2976,2980,1,0],[1,2980,2988,1,0],[0,2993,3001,1,0],[0,3001,3009,1,0],[0,3009,3013,1,0],[0,3029,3037,1,0],[0,3044,3052,1,0],[1,3062,3070,1,0],[1,3124,3132,1,0],[1,3137,3145,1,0],[0,3150,3158,1,0],[0,3158,3166,1,0],[1,3173,3181,1,0],[1,3181,3189,1,0],[1,3189,3197,1,0],[1,3208,3216,1,0],[1,3216,3224,1,0],[1,3224,3232,1,0],[0,3237,3245,1,0],[1,3245,3253,1,0],[0,3258,3266,1,0],[1,3278,3286,1,0],[0,3303,3311,1,0],[0,3321,3329,1,0],[1,3335,3343,1,0],[1,3343,3351,1,0],[1,3364,3372,1,0],[1,3372,3380,1,0],[1,3393,3397,1,0],[1,3397,3405,1,0],[1,3480,3488,1,0],[1,3488,3496,1,0],[1,3496,3504,1,0],[0,3509,3517,1,0],[1,3521,3529,1,0],[1,3529,3537,1,0],[1,3537,3545,1,0],[1,3545,3553,1,0],[1,3553,3557,1,0],[0,3562,3570,1,0],[0,3570,3578,1,0],[0,3578,3586,1,0],[0,3602,3610,1,0],[0,3610,3618,1,0],[0,3618,3626,1,0],[1,3629,3637,1,0],[1,3637,3645,1,0],[1,3645,3653,1,0],[1,3653,3661,1,0],[1,3661,3665,1,0],[1,3665,3673,1,0],[1,3673,3681,1,0],[1,3681,3689,1,0],[1,3689,3697,1,0],[1,3697,3705,1,0],[1,3705,3709,1,0],[0,3714,3722,1,0],[1,3722,3730,1,0],[1,3746,3754,1,0],[1,3754,3762,1,0],[1,3762,3770,1,0],[1,3770,3778,1,0],[1,3778,3782,1,0],[0,3804,3812,1,0],[1,3898,3906,1,0],[1,3906,3914,1,0],[1,3914,3922,1,0],[1,3922,3930,1,0],[1,3930,3934,1,0],[0,3939,3947,1,0],[0,3947,3955,1,0],[0,3955,3963,1,0],[0,3963,3971,1,0],[1,4021,4029,1,0],[1,4029,4037,1,0],[1,4037,4045,1,0],[1,4045,4053,1,0],[1,4053,4057,1,0],[0,4062,4070,1,0],[0,4070,4078,1,0],[0,4078,4086,1,0],[0,4086,4094,1,0],[0,4100,4108,1,0],[0,4116,4124,1,0],[0,4165,4173,1,0],[0,4173,4181,1,0]],[[0,2,10,1,0],[0,10,18,1,0],[0,18,26,1,0],[0,26,34,1,0],[0,35,43,1,0],[0,45,53,1,0],[0,53,61,1,0],[0,61,69,1,0],[0,69,77,1,0],[0,77,85,1,0],[0,85,89,1,0],[0,89,97,1,0],[1,97,105,1,0],[1,105,113,1,0],[0,118,126,1,0],[0,126,134,1,0],[1,140,148,1,0],[1,153,161,1,0],[0,168,176,1,0],[0,178,186,1,0],[0,186,194,1,0],[1,200,208,1,0],[0,213,221,1,0],[1,228,236,1,0],[0,241,249,1,0],[1,255,263,1,0],[1,273,281,1,0],[0,289,297,1,0],[0,297,305,1,0],[0,305,313,1,0],[0,313,321,1,0],[0,325,333,1,0],[1,340,348,1,0],[1,348,356,1,0],[0,361,369,1,0],[1,374,382,1,0],[1,382,390,1,0],[1,390,398,1,0],[0,403,411,1,0],[1,417,425,1,0],[0,430,438,1,0],[0,438,446,1,0],[1,453,461,1,0],[0,467,475,1,0],[0,477,485,1,0],[0,486,494,1,0],[1,501,509,1,0],[1,516,524,1,0],[0,529,537,1,0],[1,538,546,1,0],[0,551,559,1,0],[1,562,570,1,0],[1,570,578,1,0],[1,581,589,1,0],[0,594,602,1,0],[0,603,611,1,0],[1,615,623,1,0],[0,628,636,1,0],[0,636,644,1,0],[1,645,653,1,0],[0,658,666,1,0],[0,666,674,1,0],[0,674,678,1,0],[0,680,688,1,0],[0,692,700,1,0],[1,702,710,1,0],[1,710,718,1,0],[0,723,731,1,0],[0,731,739,1,0],[0,740,748,1,0],[0,748,756,1,0],[1,759,767,1,0],[1,767,775,1,0],[0,780,788,1,0],[0,794,798,1,0],[0,798,806,1,0],[0,806,810,1,0],[1,813,821,1,0],[0,826,830,1,0],[0,830,834,1,0],[0,834,842,1,0],[0,842,850,1,0],[0,850,858,1,0],[0,858,862,1,0],[0,862,870,1,0],[0,870,874,1,0],[1,880,888,1,0],[1,888,896,1,0],[1,896,904,1,0],[1,904,912,1,0],[1,912,920,1,0],[0,925,929,1,0],[0,931,935,1,0],[0,935,939,1,0],[0,939,943,1,0],[1,945,953,1,0],[0,958,962,1,0],[0,962,966,1,0],[1,971,979,1,0],[0,984,992,1,0],[0,993,997,1,0],[1,1003,1011,1,0],[0,1016,1020,1,0],[0,1020,1024,1,0],[0,1024,1028,1,0],[0,1028,1036,1,0],[0,1036,1044,1,0],[1,1048,1056,1,0],[1,1056,1064,1,0],[0,1069,1073,1,0],[1,1076,1084,1,0],[1,1086,1094,1,0],[0,1099,1103,1,0],[1,1106,1114,1,0],[1,1114,1122,1,0],[0,1127,1135,1,0],[0,1142,1150,1,0],[1,1150,1158,1,0],[0,1163,1171,1,0],[0,1173,1181,1,0],[0,1181,1189,1,0],[0,1189,1197,1,0],[1,1202,1210,1,0],[1,1217,1225,1,0],[1,1225,1233,1,0],[1,1233,1241,1,0],[0,1246,1254,1,0],[0,1254,1262,1,0],[1,1263,1271,1,0],[1,1271,1279,1,0],[0,1284,1292,1,0],[0,1292,1300,1,0],[0,1300,1304,1,0],[0,1304,1312,1,0],[0,1312,1320,1,0],[0,1320,1328,1,0],[0,1328,1336,1,0],[0,1342,1350,1,0],[0,1357,1365,1,0],[1,1365,1373,1,0],[1,1374,1382,1,0],[1,1382,1390,1,0],[1,1390,1398,1,0],[0,1403,1411,1,0],[0,1411,1419,1,0],[1,1420,1428,1,0],[1,1428,1436,1,0],[0,1443,1451,1,0],[0,1451,1459,1,0],[0,1459,1467,1,0],[0,1467,1475,1,0],[0,1475,1483,1,0],[0,1483,1487,1,0],[0,1491,1499,1,0],[0,1499,1507,1,0],[0,1507,1515,1,0],[0,1522,1530,1,0],[1,1536,1544,1,0],[1,1544,1552,1,0],[0,1558,1566,1,0],[0,1566,1574,1,0],[1,1581,1589,1,0],[1,1592,1600,1,0],[0,1605,1613,1,0],[0,1613,1621,1,0],[1,1624,1632,1,0],[1,1637,1645,1,0],[0,1650,1658,1,0],[0,1660,1668,1,0],[0,1668,1676,1,0],[0,1676,1684,1,0],[1,1689,1697,1,0],[1,1697,1705,1,0],[0,1710,1718,1,0],[1,1721,1729,1,0],[1,1729,1737,1,0],[1,1737,1745,1,0],[0,1750,1758,1,0],[0,1758,1766,1,0],[1,1767,1775,1,0],[0,1780,1788,1,0],[1,1788,1796,1,0],[0,1801,1809,1,0],[1,1809,1817,1,0],[0,1822,1830,1,0],[1,1830,1838,1,0],[1,1844,1852,1,0],[0,1857,1861,1,0],[0,1861,1869,1,0],[0,1869,1873,1,0],[0,1873,1881,1,0],[1,1885,1893,1,0],[0,1898,1906,1,0],[0,1906,1914,1,0],[0,1914,1922,1,0],[0,1922,1926,1,0],[1,1932,1940,1,0],[0,1945,1953,1,0],[0,1953,1961,1,0],[0,1961,1969,1,0],[1,1976,1984,1,0],[1,1984,1992,1,0],[1,2001,2009,1,0],[0,2014,2022,1,0],[0,2022,2030,1,0],[0,2030,2034,1,0],[0,2034,2042,1,0],[0,2042,2050,1,0],[0,2050,2058,1,0],[0,2058,2066,1,0],[0,2066,2074,1,0],[0,2074,2078,1,0],[1,2080,2088,1,0],[0,2093,2101,1,0],[0,2104,2108,1,0],[0,2108,2116,1,0],[0,2116,2124,1,0],[0,2124,2132,1,0],[1,2135,2143,1,0],[1,2143,2151,1,0],[1,2151,2159,1,0],[1,2159,2167,1,0],[0,2172,2176,1,0],[1,2178,2186,1,0],[1,2186,2194,1,0],[1,2194,2202,1,0],[0,2207,2211,1,0],[0,2212,2216,1,0],[1,2222,2230,1,0],[1,2230,2238,1,0],[0,2244,2252,1,0],[1,2252,2260,1,0],[1,2262,2270,1,0],[1,2270,2278,1,0],[0,2284,2288,1,0],[1,2291,2299,1,0],[1,2299,2307,1,0],[0,2312,2320,1,0],[0,2320,2328,1,0],[0,2328,2336,1,0],[1,2339,2347,1,0],[1,2347,2355,1,0],[0,2360,2364,1,0],[0,2366,2370,1,0],[0,2370,2374,1,0],[0,2374,2382,1,0],[0,2382,2390,1,0],[0,2390,2394,1,0],[0,2394,2402,1,0],[0,2402,2406,1,0],[0,2406,2414,1,0],[0,2414,2422,1,0],[1,2427,2435,1,0],[0,2440,2444,1,0],[0,2445,2453,1,0],[0,2453,2461,1,0],[0,2461,2465,1,0],[1,2480,2488,1,0],[0,2493,2501,1,0],[0,2503,2511,1,0],[0,2511,2519,1,0],[0,2519,2527,1,0],[0,2527,2531,1,0],[1,2540,2548,1,0],[1,2548,2556,1,0],[1,2556,2564,1,0],[1,2564,2572,1,0],[1,2577,2585,1,0],[1,2585,2593,1,0],[1,2598,2606,1,0],[1,2708,2716,1,0],[1,2716,2724,1,0],[1,2724,2732,1,0],[1,2801,2809,1,0],[1,2834,2842,1,0],[1,2855,2863,1,0],[1,2863,2871,1,0],[1,2879,2887,1,0],[1,2887,2895,1,0],[1,2923,2931,1,0],[1,3003,3011,1,0],[1,3011,3019,1,0],[1,3031,3039,1,0],[1,3039,3047,1,0],[1,3092,3100,1,0],[1,3122,3130,1,0],[1,3130,3138,1,0],[1,3138,3146,1,0],[1,3146,3154,1,0],[1,3169,3177,1,0],[1,3185,3193,1,0],[1,3193,3201,1,0],[1,3218,3226,1,0],[1,3234,3242,1,0],[0,3252,3260,1,0],[1,3268,3276,1,0],[0,3281,3289,1,0],[1,3339,3347,1,0],[1,3396,3404,1,0],[1,3404,3412,1,0],[1,3412,3420,1,0],[1,3420,3424,1,0],[1,3475,3483,1,0],[0,3508,3516,1,0],[0,3540,3548,1,0],[1,3549,3557,1,0],[1,3557,3565,1,0],[1,3565,3573,1,0],[1,3573,3577,1,0],[1,3577,3585,1,0],[1,3585,3593,1,0],[1,3593,3601,1,0],[1,3613,3621,1,0],[1,3621,3629,1,0],[1,3629,3633,1,0],[0,3638,3646,1,0],[0,3646,3654,1,0],[0,3654,3662,1,0],[0,3662,3670,1,0],[0,3670,3678,1,0],[0,3682,3690,1,0],[1,3698,3706,1,0],[1,3706,3714,1,0],[1,3714,3722,1,0],[1,3722,3730,1,0],[1,3732,3736,1,0],[1,3738,3746,1,0],[0,3760,3768,1,0],[0,3787,3795,1,0],[1,3823,3831,1,0],[1,3831,3839,1,0],[1,3839,3847,1,0],[1,3847,3851,1,0],[0,3856,3864,1,0],[0,3864,3872,1,0],[0,3872,3880,1,0],[0,3880,3888,1,0],[0,3888,3896,1,0],[0,3896,3904,1,0],[0,3904,3912,1,0],[0,3918,3926,1,0],[0,3930,3938,1,0],[0,3938,3946,1,0],[0,3946,3954,1,0],[1,3954,3962,1,0],[1,3962,3970,1,0],[1,3970,3978,1,0],[1,3978,3986,1,0],[1,3986,3990,1,0],[0,4001,4009,1,0],[0,4009,4017,1,0],[1,4022,4030,1,0],[1,4030,4038,1,0],[1,4038,4046,1,0],[1,4046,4054,1,0],[1,4054,4058,1,0],[0,4063,4071,1,0],[0,4071,4079,1,0],[0,4079,4087,1,0],[0,4087,4095,1,0],[1,4101,4109,1,0],[1,4109,4117,1,0],[1,4117,4125,1,0],[1,4125,4133,1,0],[1,4133,4137,1,0],[0,4142,4150,1,0],[0,4151,4159,1,0],[0,4159,4167,1,0]],[[0,0,8,1,0],[0,15,23,1,0],[0,23,31,1,0],[0,38,46,1,0],[0,46,54,1,0],[0,55,63,1,0],[0,63,71,1,0],[0,71,79,1,0],[0,84,92,1,0],[1,99,107,1,0],[1,109,117,1,0],[0,123,131,1,0],[1,138,146,1,0],[0,151,159,1,0],[0,159,167,1,0],[0,167,175,1,0],[0,182,190,1,0],[1,193,201,1,0],[1,201,209,1,0],[1,218,226,1,0],[0,231,239,1,0],[1,244,252,1,0],[1,258,266,1,0],[1,266,274,1,0],[0,279,287,1,0],[0,287,295,1,0],[1,297,305,1,0],[1,306,314,1,0],[1,314,322,1,0],[0,327,335,1,0],[0,337,345,1,0],[0,347,355,1,0],[0,355,363,1,0],[0,364,372,1,0],[1,374,382,1,0],[0,387,391,1,0],[0,392,400,1,0],[0,401,409,1,0],[0,410,418,1,0],[0,419,427,1,0],[0,428,432,1,0],[1,437,445,1,0],[0,450,458,1,0],[0,458,466,1,0],[1,469,477,1,0],[0,482,490,1,0],[1,495,503,1,0],[1,503,511,1,0],[1,521,529,1,0],[1,530,538,1,0],[0,543,551,1,0],[0,551,559,1,0],[0,559,567,1,0],[1,567,575,1,0],[1,576,584,1,0],[1,586,594,1,0],[0,615,623,1,0],[1,629,637,1,0],[1,638,646,1,0],[0,651,659,1,0],[0,660,668,1,0],[1,680,688,1,0],[1,688,696,1,0],[0,701,709,1,0],[0,709,717,1,0],[1,728,736,1,0],[1,736,744,1,0],[0,749,757,1,0],[0,757,761,1,0],[0,762,770,1,0],[0,771,779,1,0],[1,780,788,1,0],[0,800,804,1,0],[0,804,808,1,0],[1,812,820,1,0],[0,827,831,1,0],[0,831,835,1,0],[0,835,839,1,0],[1,842,850,1,0],[0,855,859,1,0],[1,864,872,1,0],[0,877,881,1,0],[0,881,885,1,0],[0,885,889,1,0],[0,890,894,1,0],[0,894,898,1,0],[1,903,911,1,0],[0,918,922,1,0],[0,922,926,1,0],[0,928,932,1,0],[0,932,936,1,0],[0,937,945,1,0],[1,948,956,1,0],[0,961,969,1,0],[0,970,974,1,0],[0,983,987,1,0],[0,988,996,1,0],[1,996,1004,1,0],[1,1005,1013,1,0],[1,1013,1021,1,0],[0,1036,1040,1,0],[1,1047,1055,1,0],[1,1062,1070,1,0],[1,1070,1078,1,0],[0,1083,1087,1,0],[1,1094,1102,1,0],[0,1107,1115,1,0],[1,1115,1123,1,0],[0,1128,1136,1,0],[0,1136,1144,1,0],[1,1146,1154,1,0],[0,1159,1167,1,0],[0,1167,1175,1,0],[0,1180,1188,1,0],[0,1188,1196,1,0],[0,1197,1205,1,0],[1,1205,1213,1,0],[1,1213,1221,1,0],[1,1221,1229,1,0],[0,1235,1239,1,0],[1,1242,1250,1,0],[1,1259,1267,1,0],[0,1272,1280,1,0],[1,1280,1288,1,0],[0,1293,1301,1,0],[1,1301,1309,1,0],[0,1314,1322,1,0],[1,1322,1330,1,0],[0,1335,1343,1,0],[0,1343,1351,1,0],[0,1351,1359,1,0],[0,1362,1370,1,0],[0,1370,1378,1,0],[0,1378,1386,1,0],[0,1391,1399,1,0],[0,1399,1407,1,0],[1,1412,1420,1,0],[1,1433,1441,1,0],[1,1449,1457,1,0],[1,1464,1472,1,0],[0,1477,1485,1,0],[0,1485,1493,1,0],[0,1493,1501,1,0],[0,1501,1509,1,0],[0,1509,1517,1,0],[1,1521,1529,1,0],[0,1534,1542,1,0],[0,1542,1550,1,0],[0,1550,1558,1,0],[0,1558,1566,1,0],[1,1569,1577,1,0],[1,1587,1595,1,0],[0,1600,1608,1,0],[0,1608,1616,1,0],[1,1619,1627,1,0],[1,1627,1635,1,0],[1,1635,1643,1,0],[0,1648,1656,1,0],[1,1656,1664,1,0],[0,1669,1677,1,0],[0,1677,1685,1,0],[0,1685,1693,1,0],[0,1693,1697,1,0],[1,1700,1708,1,0],[1,1708,1716,1,0],[0,1721,1729,1,0],[1,1732,1740,1,0],[0,1745,1753,1,0],[0,1753,1761,1,0],[1,1762,1770,1,0],[1,1770,1778,1,0],[1,1778,1786,1,0],[0,1791,1799,1,0],[1,1799,1807,1,0],[0,1814,1822,1,0],[1,1822,1830,1,0],[1,1830,1838,1,0],[0,1843,1851,1,0],[0,1854,1862,1,0],[0,1862,1870,1,0],[0,1870,1874,1,0],[0,1874,1882,1,0],[0,1882,1890,1,0],[0,1890,1898,1,0],[0,1898,1906,1,0],[0,1906,1914,1,0],[0,1914,1918,1,0],[1,1921,1929,1,0],[1,1934,1942,1,0],[0,1947,1955,1,0],[0,1955,1963,1,0],[0,1963,1967,1,0],[1,1972,1980,1,0],[1,2024,2032,1,0],[0,2037,2045,1,0],[0,2045,2053,1,0],[0,2053,2061,1,0],[0,2061,2069,1,0],[0,2069,2073,1,0],[0,2073,2081,1,0],[1,2088,2096,1,0],[1,2096,2104,1,0],[1,2104,2112,1,0],[1,2112,2120,1,0],[0,2125,2133,1,0],[1,2140,2148,1,0],[1,2148,2156,1,0],[1,2156,2164,1,0],[1,2164,2172,1,0],[0,2177,2185,1,0],[1,2185,2193,1,0],[1,2200,2208,1,0],[1,2208,2216,1,0],[0,2221,2229,1,0],[0,2229,2237,1,0],[0,2237,2245,1,0],[0,2247,2255,1,0],[0,2255,2259,1,0],[0,2259,2267,1,0],[1,2267,2275,1,0],[1,2275,2283,1,0],[0,2288,2292,1,0],[0,2295,2299,1,0],[1,2301,2309,1,0],[1,2311,2319,1,0],[1,2319,2327,1,0],[0,2334,2338,1,0],[1,2342,2350,1,0],[0,2359,2363,1,0],[1,2365,2373,1,0],[0,2378,2386,1,0],[0,2386,2394,1,0],[0,2394,2402,1,0],[0,2402,2410,1,0],[0,2413,2417,1,0],[1,2421,2429,1,0],[1,2434,2442,1,0],[0,2447,2451,1,0],[1,2504,2512,1,0],[1,2512,2520,1,0],[0,2537,2545,1,0],[1,2572,2580,1,0],[1,2580,2588,1,0],[0,2593,2601,1,0],[1,2604,2612,1,0],[0,2617,2625,1,0],[0,2625,2633,1,0],[0,2633,2641,1,0],[0,2642,2650,1,0],[0,2652,2656,1,0],[1,2671,2679,1,0],[1,2679,2687,1,0],[1,2687,2695,1,0],[1,2737,2745,1,0],[1,2747,2755,1,0],[0,2760,2768,1,0],[0,2768,2776,1,0],[0,2776,2780,1,0],[1,2812,2820,1,0],[1,2820,2828,1,0],[0,2833,2841,1,0],[1,2845,2853,1,0],[0,2858,2866,1,0],[1,2866,2874,1,0],[1,2874,2882,1,0],[0,2887,2895,1,0],[0,2895,2903,1,0],[0,2903,2911,1,0],[0,2911,2915,1,0],[1,2917,2925,1,0],[0,2930,2938,1,0],[0,2938,2946,1,0],[0,2946,2954,1,0],[0,2955,2963,1,0],[0,2964,2972,1,0],[1,2979,2987,1,0],[1,2987,2995,1,0],[1,3006,3014,1,0],[0,3019,3027,1,0],[0,3027,3035,1,0],[0,3035,3043,1,0],[1,3050,3058,1,0],[1,3058,3066,1,0],[1,3066,3074,1,0],[1,3074,3082,1,0],[1,3082,3086,1,0],[0,3091,3099,1,0],[1,3104,3112,1,0],[0,3117,3125,1,0],[1,3125,3133,1,0],[0,3138,3146,1,0],[0,3146,3154,1,0],[1,3157,3165,1,0],[0,3170,3178,1,0],[1,3178,3186,1,0],[1,3186,3194,1,0],[0,3200,3208,1,0],[0,3210,3218,1,0],[0,3218,3226,1,0],[0,3226,3234,1,0],[1,3240,3248,1,0],[1,3256,3264,1,0],[0,3269,3277,1,0],[0,3277,3285,1,0],[0,3287,3295,1,0],[0,3302,3310,1,0],[1,3312,3320,1,0],[1,3320,3328,1,0],[1,3328,3336,1,0],[0,3341,3349,1,0],[0,3349,3357,1,0],[0,3357,3365,1,0],[0,3367,3375,1,0],[0,3375,3383,1,0],[1,3385,3393,1,0],[1,3393,3401,1,0],[1,3401,3405,1,0],[0,3410,3418,1,0],[1,3418,3426,1,0],[0,3431,3439,1,0],[1,3439,3447,1,0],[1,3447,3455,1,0],[0,3462,3470,1,0],[0,3470,3478,1,0],[0,3478,3482,1,0],[0,3489,3497,1,0],[1,3497,3505,1,0],[1,3505,3513,1,0],[1,3513,3521,1,0],[0,3529,3537,1,0],[0,3537,3545,1,0],[1,3549,3557,1,0],[1,3557,3565,1,0],[1,3565,3573,1,0],[1,3573,3581,1,0],[1,3583,3587,1,0],[0,3593,3601,1,0],[0,3630,3638,1,0],[0,3638,3642,1,0],[1,3688,3696,1,0],[1,3696,3704,1,0],[1,3704,3712,1,0],[1,3712,3720,1,0],[1,3720,3724,1,0],[0,3734,3742,1,0],[0,3801,3809,1,0],[1,3872,3880,1,0],[1,3880,3888,1,0],[1,3888,3896,1,0],[1,3896,3904,1,0],[1,3904,3908,1,0],[1,3908,3916,1,0],[1,3916,3924,1,0],[1,3924,3932,1,0],[1,3932,3940,1,0],[1,3940,3944,1,0],[1,3944,3952,1,0],[1,3952,3960,1,0],[1,3969,3977,1,0],[1,3977,3985,1,0],[1,3985,3989,1,0],[0,3994,4002,1,0],[0,4013,4021,1,0],[1,4036,4044,1,0],[1,4044,4052,1,0],[1,4052,4060,1,0],[1,4060,4068,1,0],[1,4068,4072,1,0]],[[0,2,10,1,0],[0,10,18,1,0],[0,19,27,1,0],[0,27,35,1,0],[0,35,43,1,0],[0,43,51,1,0],[0,52,60,1,0],[0,61,69,1,0],[0,69,77,1,0],[0,77,85,1,0],[0,85,89,1,0],[1,97,105,1,0],[1,109,117,1,0],[0,122,130,1,0],[1,136,144,1,0],[0,150,158,1,0],[0,158,166,1,0],[0,166,174,1,0],[1,191,199,1,0],[1,199,207,1,0],[0,212,220,1,0],[1,227,235,1,0],[0,240,248,1,0],[0,248,256,1,0],[0,256,264,1,0],[0,265,273,1,0],[1,276,284,1,0],[1,303,311,1,0],[0,331,339,1,0],[1,339,347,1,0],[1,367,375,1,0],[1,380,388,1,0],[0,393,401,1,0],[0,401,409,1,0],[0,409,417,1,0],[1,423,431,1,0],[1,451,459,1,0],[1,463,471,1,0],[1,471,479,1,0],[1,479,487,1,0],[0,493,501,1,0],[0,501,509,1,0],[0,509,517,1,0],[0,517,525,1,0],[0,525,533,1,0],[0,533,541,1,0],[1,545,553,1,0],[1,564,572,1,0],[1,572,580,1,0],[1,580,588,1,0],[1,600,608,1,0],[0,613,621,1,0],[1,623,631,1,0],[1,631,639,1,0],[0,644,652,1,0],[0,652,660,1,0],[1,662,670,1,0],[1,671,679,1,0],[0,684,692,1,0],[0,692,700,1,0],[0,700,708,1,0],[0,708,716,1,0],[0,716,724,1,0],[0,724,728,1,0],[0,731,739,1,0],[1,742,750,1,0],[0,756,760,1,0],[1,766,774,1,0],[1,774,782,1,0],[0,790,794,1,0],[0,796,800,1,0],[0,807,811,1,0],[0,814,818,1,0],[0,818,822,1,0],[0,825,829,1,0],[1,833,841,1,0],[1,846,854,1,0],[1,858,866,1,0],[0,871,875,1,0],[0,875,879,1,0],[0,880,884,1,0],[1,888,896,1,0],[0,901,905,1,0],[0,905,909,1,0],[0,911,915,1,0],[0,915,919,1,0],[0,920,924,1,0],[0,928,932,1,0],[0,932,936,1,0],[0,936,944,1,0],[0,944,952,1,0],[0,952,960,1,0],[1,962,970,1,0],[0,975,983,1,0],[1,988,996,1,0],[0,1001,1005,1,0],[1,1006,1014,1,0],[0,1019,1023,1,0],[0,1023,1027,1,0],[1,1027,1035,1,0],[0,1040,1044,1,0],[0,1046,1050,1,0],[0,1050,1058,1,0],[1,1065,1073,1,0],[0,1078,1082,1,0],[0,1082,1090,1,0],[1,1092,1100,1,0],[0,1105,1113,1,0],[1,1117,1125,1,0],[1,1125,1133,1,0],[1,1133,1141,1,0],[1,1141,1149,1,0],[0,1154,1162,1,0],[1,1162,1170,1,0],[0,1175,1183,1,0],[1,1183,1191,1,0],[0,1196,1204,1,0],[0,1204,1212,1,0],[1,1219,1227,1,0],[1,1227,1235,1,0],[0,1240,1248,1,0],[1,1248,1256,1,0],[0,1261,1269,1,0],[1,1269,1277,1,0],[0,1282,1290,1,0],[1,1290,1298,1,0],[0,1303,1311,1,0],[0,1311,1319,1,0],[1,1320,1328,1,0],[1,1330,1338,1,0],[0,1343,1351,1,0],[0,1351,1359,1,0],[0,1359,1367,1,0],[0,1367,1375,1,0],[1,1380,1388,1,0],[1,1388,1396,1,0],[0,1401,1409,1,0],[0,1411,1419,1,0],[0,1419,1427,1,0],[0,1427,1435,1,0],[0,1435,1443,1,0],[1,1444,1452,1,0],[1,1452,1460,1,0],[1,1460,1468,1,0],[0,1473,1481,1,0],[0,1481,1489,1,0],[0,1489,1497,1,0],[1,1501,1509,1,0],[0,1514,1522,1,0],[0,1522,1526,1,0],[1,1529,1537,1,0],[0,1542,1550,1,0],[0,1550,1558,1,0],[0,1558,1566,1,0],[0,1567,1571,1,0],[0,1571,1579,1,0],[0,1583,1591,1,0],[0,1591,1599,1,0],[0,1599,1607,1,0],[0,1613,1621,1,0],[0,1622,1630,1,0],[0,1630,1638,1,0],[1,1644,1652,1,0],[1,1662,1670,1,0],[1,1670,1678,1,0],[1,1689,1697,1,0],[0,1702,1710,1,0],[0,1710,1718,1,0],[1,1722,1730,1,0],[1,1730,1738,1,0],[1,1738,1746,1,0],[1,1746,1754,1,0],[1,1760,1768,1,0],[0,1773,1781,1,0],[0,1781,1789,1,0],[0,1789,1793,1,0],[1,1795,1803,1,0],[0,1808,1816,1,0],[1,1816,1824,1,0],[0,1829,1837,1,0],[1,1837,1845,1,0],[0,1850,1858,1,0],[1,1863,1871,1,0],[0,1876,1884,1,0],[0,1889,1897,1,0],[0,1897,1905,1,0],[1,1908,1916,1,0],[0,1921,1929,1,0],[0,1929,1937,1,0],[1,1941,1949,1,0],[1,1949,1957,1,0],[0,1962,1970,1,0],[0,1970,1978,1,0],[1,1982,1990,1,0],[0,1995,2003,1,0],[0,2003,2007,1,0],[0,2010,2018,1,0],[0,2018,2026,1,0],[1,2033,2041,1,0],[1,2041,2049,1,0],[0,2054,2062,1,0],[0,2062,2070,1,0],[0,2070,2074,1,0],[1,2108,2116,1,0],[1,2130,2138,1,0],[1,2138,2146,1,0],[1,2146,2154,1,0],[1,2154,2162,1,0],[1,2171,2179,1,0],[1,2192,2200,1,0],[1,2200,2208,1,0],[1,2208,2216,1,0],[1,2216,2224,1,0],[1,2274,2282,1,0],[1,2282,2290,1,0],[1,2322,2330,1,0],[1,2332,2340,1,0],[1,2340,2348,1,0],[0,2365,2373,1,0],[0,2373,2381,1,0],[0,2381,2389,1,0],[0,2389,2397,1,0],[0,2397,2401,1,0],[1,2403,2411,1,0],[0,2439,2443,1,0],[1,2460,2468,1,0],[1,2468,2476,1,0],[0,2482,2486,1,0],[1,2488,2496,1,0],[0,2501,2509,1,0],[0,2509,2517,1,0],[0,2517,2525,1,0],[0,2525,2533,1,0],[0,2533,2541,1,0],[0,2541,2545,1,0],[1,2549,2557,1,0],[1,2557,2565,1,0],[1,2569,2577,1,0],[0,2584,2592,1,0],[0,2592,2600,1,0],[0,2600,2608,1,0],[0,2608,2616,1,0],[0,2616,2620,1,0],[0,2620,2628,1,0],[0,2628,2636,1,0],[0,2636,2644,1,0],[0,2644,2652,1,0],[1,2654,2662,1,0],[1,2663,2671,1,0],[1,2671,2679,1,0],[0,2704,2708,1,0],[1,2721,2729,1,0],[1,2731,2739,1,0],[1,2765,2773,1,0],[0,2780,2788,1,0],[0,2789,2797,1,0],[1,2799,2807,1,0],[1,2807,2815,1,0],[1,2816,2824,1,0],[0,2839,2847,1,0],[1,2855,2863,1,0],[1,2863,2871,1,0],[1,2884,2892,1,0],[0,2913,2921,1,0],[0,2921,2929,1,0],[0,2929,2933,1,0],[1,2940,2948,1,0],[1,2948,2956,1,0],[0,2962,2970,1,0],[0,2970,2978,1,0],[0,2981,2989,1,0],[0,2990,2998,1,0],[0,2998,3006,1,0],[0,3006,3014,1,0],[1,3023,3031,1,0],[1,3037,3045,1,0],[1,3054,3062,1,0],[0,3069,3077,1,0],[0,3077,3085,1,0],[1,3085,3093,1,0],[1,3093,3101,1,0],[0,3106,3114,1,0],[0,3119,3127,1,0],[0,3127,3135,1,0],[0,3135,3143,1,0],[1,3146,3154,1,0],[1,3154,3162,1,0],[1,3162,3170,1,0],[0,3175,3183,1,0],[1,3183,3191,1,0],[0,3196,3204,1,0],[0,3204,3212,1,0],[1,3212,3220,1,0],[0,3225,3233,1,0],[1,3233,3241,1,0],[0,3246,3254,1,0],[0,3257,3265,1,0],[1,3267,3275,1,0],[0,3280,3288,1,0],[0,3288,3296,1,0],[0,3296,3304,1,0],[0,3304,3312,1,0],[0,3314,3318,1,0],[1,3337,3345,1,0],[1,3347,3355,1,0],[0,3362,3370,1,0],[0,3370,3378,1,0],[0,3378,3386,1,0],[1,3386,3394,1,0],[0,3399,3407,1,0],[1,3407,3415,1,0],[0,3433,3441,1,0],[0,3441,3449,1,0],[0,3449,3457,1,0],[0,3457,3465,1,0],[0,3465,3469,1,0],[0,3491,3499,1,0],[0,3499,3507,1,0],[0,3507,3515,1,0],[1,3519,3527,1,0],[0,3532,3540,1,0],[1,3547,3555,1,0],[1,3555,3563,1,0],[1,3563,3567,1,0],[0,3572,3580,1,0],[0,3609,3617,1,0],[0,3617,3625,1,0],[0,3625,3633,1,0],[0,3635,3643,1,0],[0,3646,3654,1,0],[0,3654,3658,1,0],[1,3709,3717,1,0],[1,3717,3725,1,0],[1,3725,3733,1,0],[1,3733,3741,1,0],[1,3741,3745,1,0],[1,3745,3753,1,0],[1,3753,3761,1,0],[1,3761,3769,1,0],[1,3769,3777,1,0],[1,3777,3781,1,0],[0,3786,3794,1,0],[0,3794,3802,1,0],[1,3809,3817,1,0],[1,3817,3825,1,0],[1,3825,3833,1,0],[1,3833,3841,1,0],[1,3841,3845,1,0],[1,3878,3886,1,0],[1,3886,3894,1,0],[1,3894,3902,1,0],[1,3902,3910,1,0],[1,3910,3914,1,0],[1,4021,4029,1,0],[1,4029,4037,1,0],[1,4037,4045,1,0],[1,4045,4053,1,0],[1,4053,4057,1,0],[1,4060,4068,1,0],[1,4068,4076,1,0],[1,4076,4084,1,0],[1,4084,4092,1,0],[1,4092,4096,1,0],[1,4146,4154,1,0],[1,4154,4162,1,0],[1,4162,4170,1,0],[1,4170,4178,1,0],[1,4178,4182,1,0]],[[0,2,10,1,0],[0,10,18,1,0],[0,18,26,1,0],[0,27,35,1,0],[0,36,40,1,0],[0,40,48,1,0],[0,48,56,1,0],[0,62,66,1,0],[0,66,74,1,0],[0,76,84,1,0],[0,84,92,1,0],[1,97,105,1,0],[1,105,113,1,0],[1,113,121,1,0],[1,121,129,1,0],[0,136,144,1,0],[0,144,152,1,0],[0,152,160,1,0],[0,160,168,1,0],[1,171,179,1,0],[1,189,197,1,0],[1,198,206,1,0],[1,206,214,1,0],[1,214,222,1,0],[0,227,231,1,0],[1,231,239,1,0],[1,239,247,1,0],[0,252,256,1,0],[0,256,264,1,0],[0,268,272,1,0],[0,272,280,1,0],[0,280,284,1,0],[0,284,288,1,0],[1,293,301,1,0],[0,306,314,1,0],[1,318,326,1,0],[1,326,334,1,0],[0,339,347,1,0],[1,347,355,1,0],[0,360,368,1,0],[0,368,376,1,0],[0,376,384,1,0],[1,384,392,1,0],[1,392,400,1,0],[1,410,418,1,0],[1,418,426,1,0],[0,431,439,1,0],[0,439,447,1,0],[0,447,455,1,0],[0,455,463,1,0],[0,463,471,1,0],[0,475,483,1,0],[0,483,491,1,0],[0,492,500,1,0],[0,500,508,1,0],[1,509,517,1,0],[0,522,526,1,0],[0,531,535,1,0],[0,539,543,1,0],[1,547,555,1,0],[0,560,568,1,0],[0,568,576,1,0],[0,576,584,1,0],[0,585,593,1,0],[1,598,606,1,0],[1,612,620,1,0],[0,625,629,1,0],[1,631,639,1,0],[0,645,653,1,0],[0,654,662,1,0],[0,663,667,1,0],[0,667,675,1,0],[1,680,688,1,0],[1,688,696,1,0],[0,701,705,1,0],[0,705,713,1,0],[0,716,724,1,0],[1,729,737,1,0],[1,737,745,1,0],[0,750,758,1,0],[1,758,766,1,0],[1,778,786,1,0],[0,791,799,1,0],[1,803,811,1,0],[0,816,824,1,0],[0,824,832,1,0],[0,832,840,1,0],[0,840,848,1,0],[1,852,860,1,0],[0,866,870,1,0],[0,870,878,1,0],[0,878,886,1,0],[0,890,898,1,0],[0,903,907,1,0],[0,907,915,1,0],[1,919,927,1,0],[0,932,940,1,0],[0,940,948,1,0],[0,948,952,1,0],[0,952,960,1,0],[0,960,968,1,0],[1,969,977,1,0],[1,977,985,1,0],[0,990,994,1,0],[1,1006,1014,1,0],[0,1019,1027,1,0],[1,1033,1041,1,0],[0,1046,1054,1,0],[0,1054,1062,1,0],[1,1063,1071,1,0],[1,1071,1079,1,0],[0,1084,1092,1,0],[0,1092,1100,1,0],[0,1100,1108,1,0],[1,1114,1122,1,0],[1,1122,1130,1,0],[1,1130,1138,1,0],[0,1143,1151,1,0],[0,1151,1159,1,0],[0,1159,1167,1,0],[0,1169,1177,1,0],[0,1182,1186,1,0],[0,1190,1194,1,0],[0,1195,1203,1,0],[0,1207,1211,1,0],[1,1213,1221,1,0],[1,1221,1229,1,0],[0,1234,1238,1,0],[1,1243,1251,1,0],[1,1264,1272,1,0],[0,1277,1285,1,0],[1,1285,1293,1,0],[1,1293,1301,1,0],[0,1306,1314,1,0],[0,1320,1328,1,0],[0,1328,1336,1,0],[0,1339,1347,1,0],[1,1352,1360,1,0],[1,1360,1368,1,0],[0,1373,1381,1,0],[1,1382,1390,1,0],[0,1395,1403,1,0],[0,1403,1411,1,0],[0,1411,1419,1,0],[1,1426,1434,1,0],[0,1439,1447,1,0],[1,1450,1458,1,0],[1,1458,1466,1,0],[1,1466,1474,1,0],[1,1474,1482,1,0],[0,1487,1495,1,0],[1,1495,1503,1,0],[0,1508,1516,1,0],[1,1516,1524,1,0],[0,1529,1537,1,0],[0,1537,1545,1,0],[0,1545,1549,1,0],[1,1554,1562,1,0],[1,1562,1570,1,0],[0,1575,1583,1,0],[1,1585,1593,1,0],[0,1598,1606,1,0],[1,1606,1614,1,0],[0,1619,1627,1,0],[1,1627,1635,1,0],[1,1635,1643,1,0],[0,1650,1658,1,0],[1,1658,1666,1,0],[0,1671,1675,1,0],[0,1676,1684,1,0],[0,1684,1692,1,0],[1,1692,1700,1,0],[0,1705,1713,1,0],[1,1713,1721,1,0],[0,1726,1730,1,0],[0,1730,1734,1,0],[0,1734,1738,1,0],[0,1738,1742,1,0],[0,1748,1752,1,0],[0,1752,1760,1,0],[0,1762,1770,1,0],[1,1771,1779,1,0],[1,1779,1787,1,0],[0,1792,1800,1,0],[0,1800,1808,1,0],[1,1811,1819,1,0],[1,1820,1828,1,0],[1,1828,1836,1,0],[0,1841,1849,1,0],[0,1849,1857,1,0],[1,1857,1865,1,0],[0,1870,1874,1,0],[0,1874,1882,1,0],[0,1889,1893,1,0],[0,1893,1901,1,0],[0,1901,1909,1,0],[0,1909,1917,1,0],[0,1917,1921,1,0],[0,1922,1930,1,0],[0,1943,1951,1,0],[0,1951,1955,1,0],[1,1960,1968,1,0],[1,1968,1976,1,0],[1,1976,1984,1,0],[0,1993,2001,1,0],[1,2001,2009,1,0],[1,2009,2017,1,0],[0,2023,2031,1,0],[0,2032,2036,1,0],[1,2036,2044,1,0],[1,2044,2052,1,0],[1,2054,2062,1,0],[1,2072,2080,1,0],[1,2091,2099,1,0],[1,2107,2115,1,0],[1,2122,2130,1,0],[1,2139,2147,1,0],[1,2151,2159,1,0],[0,2167,2175,1,0],[0,2181,2189,1,0],[0,2191,2199,1,0],[0,2199,2207,1,0],[0,2207,2215,1,0],[0,2215,2223,1,0],[1,2227,2235,1,0],[1,2235,2243,1,0],[0,2249,2257,1,0],[1,2260,2268,1,0],[1,2268,2276,1,0],[1,2276,2284,1,0],[0,2289,2297,1,0],[0,2297,2305,1,0],[0,2305,2313,1,0],[0,2313,2317,1,0],[0,2317,2325,1,0],[1,2328,2336,1,0],[1,2336,2344,1,0],[1,2351,2359,1,0],[1,2359,2367,1,0],[1,2367,2375,1,0],[1,2375,2383,1,0],[1,2383,2391,1,0],[1,2391,2399,1,0],[1,2399,2407,1,0],[1,2407,2415,1,0],[1,2415,2423,1,0],[1,2423,2431,1,0],[1,2431,2439,1,0],[0,2444,2452,1,0],[0,2452,2460,1,0],[0,2460,2464,1,0],[0,2509,2517,1,0],[0,2517,2525,1,0],[0,2525,2533,1,0],[0,2533,2541,1,0],[0,2541,2545,1,0],[0,2569,2577,1,0],[0,2580,2588,1,0],[1,2615,2623,1,0],[1,2623,2631,1,0],[1,2631,2639,1,0],[1,2639,2647,1,0],[1,2678,2682,1,0],[0,2692,2700,1,0],[1,2700,2708,1,0],[1,2708,2716,1,0],[0,2725,2733,1,0],[0,2733,2741,1,0],[1,2741,2749,1,0],[1,2749,2757,1,0],[0,2829,2837,1,0],[0,2837,2845,1,0],[0,2889,2897,1,0],[1,2945,2953,1,0],[1,2953,2961,1,0],[1,2961,2969,1,0],[1,2969,2977,1,0],[1,2977,2981,1,0],[1,2982,2990,1,0],[1,2997,3005,1,0],[1,3005,3013,1,0],[1,3013,3021,1,0],[1,3023,3027,1,0],[0,3032,3040,1,0],[1,3041,3049,1,0],[1,3049,3057,1,0],[0,3062,3070,1,0],[1,3070,3078,1,0],[1,3078,3086,1,0],[1,3097,3105,1,0],[1,3105,3113,1,0],[1,3113,3121,1,0],[1,3144,3152,1,0],[1,3152,3156,1,0],[0,3179,3187,1,0],[0,3189,3197,1,0],[0,3204,3212,1,0],[0,3212,3220,1,0],[1,3224,3232,1,0],[1,3234,3242,1,0],[0,3266,3274,1,0],[0,3275,3283,1,0],[0,3283,3291,1,0],[0,3293,3301,1,0],[0,3303,3311,1,0],[1,3314,3322,1,0],[1,3322,3330,1,0],[1,3330,3334,1,0],[0,3339,3347,1,0],[1,3352,3360,1,0],[1,3360,3368,1,0],[1,3368,3376,1,0],[1,3376,3384,1,0],[1,3384,3388,1,0],[0,3393,3401,1,0],[0,3401,3409,1,0],[1,3409,3417,1,0],[1,3417,3425,1,0],[1,3425,3433,1,0],[1,3433,3441,1,0],[1,3441,3445,1,0],[0,3450,3458,1,0],[0,3458,3466,1,0],[0,3466,3474,1,0],[1,3474,3482,1,0],[1,3483,3491,1,0],[1,3491,3499,1,0],[1,3499,3507,1,0],[0,3519,3527,1,0],[0,3529,3537,1,0],[1,3537,3545,1,0],[1,3551,3559,1,0],[1,3559,3567,1,0],[1,3567,3575,1,0],[1,3575,3583,1,0],[1,3584,3592,1,0],[1,3593,3601,1,0],[1,3601,3609,1,0],[1,3609,3617,1,0],[1,3619,3627,1,0],[1,3627,3635,1,0],[1,3635,3639,1,0],[0,3644,3652,1,0],[0,3652,3660,1,0],[0,3660,3668,1,0],[0,3668,3672,1,0],[0,3672,3680,1,0],[1,3680,3688,1,0],[1,3698,3706,1,0],[0,3713,3721,1,0],[0,3721,3729,1,0],[0,3729,3737,1,0],[0,3737,3745,1,0],[0,3745,3753,1,0],[1,3758,3766,1,0],[1,3766,3774,1,0],[0,3779,3787,1,0],[0,3787,3791,1,0],[0,3791,3799,1,0],[0,3799,3807,1,0],[0,3807,3815,1,0],[0,3815,3823,1,0],[0,3823,3827,1,0],[0,3827,3835,1,0],[0,3835,3843,1,0],[0,3843,3851,1,0],[0,3851,3859,1,0],[0,3859,3863,1,0]],[[0,2,10,1,0],[0,10,18,1,0],[0,24,32,1,0],[0,34,42,1,0],[0,42,46,1,0],[0,46,54,1,0],[0,54,62,1,0],[0,68,72,1,0],[0,72,80,1,0],[0,80,88,1,0],[1,97,105,1,0],[1,105,113,1,0],[1,114,122,1,0],[0,128,136,1,0],[0,136,144,1,0],[0,144,152,1,0],[0,153,161,1,0],[0,162,170,1,0],[1,172,180,1,0],[1,180,188,1,0],[1,188,196,1,0],[1,196,204,1,0],[1,210,218,1,0],[0,223,227,1,0],[0,227,231,1,0],[0,231,235,1,0],[0,235,239,1,0],[0,240,248,1,0],[0,248,256,1,0],[1,257,265,1,0],[0,270,274,1,0],[0,274,278,1,0],[1,280,288,1,0],[1,289,297,1,0],[0,302,306,1,0],[0,306,314,1,0],[1,317,325,1,0],[1,335,343,1,0],[0,348,356,1,0],[0,356,364,1,0],[0,364,372,1,0],[1,372,380,1,0],[1,380,388,1,0],[1,400,408,1,0],[1,414,422,1,0],[0,427,435,1,0],[0,435,443,1,0],[0,445,453,1,0],[0,453,461,1,0],[0,461,469,1,0],[0,469,473,1,0],[1,478,486,1,0],[1,494,502,1,0],[0,510,518,1,0],[1,518,526,1,0],[0,531,535,1,0],[0,537,545,1,0],[0,545,553,1,0],[0,554,558,1,0],[1,563,571,1,0],[0,577,585,1,0],[0,590,598,1,0],[1,601,609,1,0],[0,614,622,1,0],[0,622,630,1,0],[0,630,638,1,0],[0,638,646,1,0],[0,652,660,1,0],[1,662,670,1,0],[1,672,680,1,0],[1,683,691,1,0],[0,696,704,1,0],[1,704,712,1,0],[1,712,720,1,0],[0,725,733,1,0],[0,733,741,1,0],[1,745,753,1,0],[0,765,769,1,0],[0,769,777,1,0],[0,777,785,1,0],[1,790,798,1,0],[1,798,806,1,0],[0,811,815,1,0],[1,816,824,1,0],[0,829,837,1,0],[0,839,843,1,0],[0,843,851,1,0],[0,851,859,1,0],[0,865,869,1,0],[1,871,879,1,0],[1,879,887,1,0],[0,897,905,1,0],[0,905,913,1,0],[1,919,927,1,0],[0,932,936,1,0],[0,936,944,1,0],[0,944,952,1,0],[0,952,960,1,0],[0,960,968,1,0],[0,968,976,1,0],[0,978,986,1,0],[1,992,1000,1,0],[0,1005,1013,1,0],[1,1018,1026,1,0],[0,1034,1038,1,0],[1,1039,1047,1,0],[1,1058,1066,1,0],[1,1073,1081,1,0],[1,1083,1091,1,0],[1,1095,1103,1,0],[0,1108,1116,1,0],[1,1119,1127,1,0],[0,1132,1136,1,0],[1,1142,1150,1,0],[1,1150,1158,1,0],[0,1163,1171,1,0],[1,1172,1180,1,0],[1,1180,1188,1,0],[0,1193,1201,1,0],[0,1201,1209,1,0],[0,1209,1213,1,0],[0,1220,1228,1,0],[1,1233,1241,1,0],[1,1241,1249,1,0],[0,1254,1262,1,0],[1,1263,1271,1,0],[0,1276,1280,1,0],[0,1280,1288,1,0],[1,1293,1301,1,0],[1,1301,1309,1,0],[0,1314,1318,1,0],[0,1318,1326,1,0],[1,1327,1335,1,0],[0,1340,1348,1,0],[1,1348,1356,1,0],[0,1361,1365,1,0],[0,1367,1375,1,0],[0,1375,1383,1,0],[0,1383,1391,1,0],[0,1391,1399,1,0],[0,1400,1408,1,0],[0,1408,1416,1,0],[0,1419,1427,1,0],[0,1427,1435,1,0],[0,1435,1439,1,0],[0,1439,1447,1,0],[0,1453,1461,1,0],[0,1461,1465,1,0],[1,1465,1473,1,0],[1,1473,1481,1,0],[0,1486,1494,1,0],[1,1495,1503,1,0],[1,1510,1518,1,0],[1,1518,1526,1,0],[0,1531,1539,1,0],[1,1539,1547,1,0],[0,1553,1561,1,0],[0,1561,1565,1,0],[1,1566,1574,1,0],[0,1579,1587,1,0],[1,1587,1595,1,0],[0,1600,1608,1,0],[1,1608,1616,1,0],[0,1621,1629,1,0],[0,1629,1637,1,0],[1,1639,1647,1,0],[1,1653,1661,1,0],[0,1666,1674,1,0],[1,1674,1682,1,0],[1,1682,1690,1,0],[0,1695,1699,1,0],[0,1699,1707,1,0],[1,1707,1715,1,0],[1,1715,1723,1,0],[1,1723,1731,1,0],[0,1737,1741,1,0],[0,1742,1750,1,0],[0,1750,1754,1,0],[0,1754,1762,1,0],[0,1762,1770,1,0],[0,1770,1778,1,0],[0,1778,1782,1,0],[0,1782,1790,1,0],[1,1793,1801,1,0],[1,1801,1809,1,0],[1,1809,1817,1,0],[0,1822,1830,1,0],[0,1830,1838,1,0],[0,1841,1849,1,0],[0,1853,1861,1,0],[0,1861,1865,1,0],[0,1868,1876,1,0],[0,1876,1884,1,0],[0,1884,1892,1,0],[0,1892,1900,1,0],[0,1900,1904,1,0],[0,1904,1912,1,0],[1,1916,1924,1,0],[1,1935,1943,1,0],[1,1943,1951,1,0],[1,1951,1959,1,0],[1,1959,1967,1,0],[1,1967,1975,1,0],[1,1975,1983,1,0],[1,1983,1991,1,0],[0,1996,2004,1,0],[1,2006,2014,1,0],[1,2014,2022,1,0],[1,2022,2030,1,0],[1,2035,2043,1,0],[1,2043,2051,1,0],[0,2056,2064,1,0],[1,2066,2074,1,0],[1,2074,2082,1,0],[0,2093,2101,1,0],[0,2103,2111,1,0],[0,2112,2120,1,0],[0,2122,2130,1,0],[1,2130,2138,1,0],[0,2143,2151,1,0],[1,2151,2159,1,0],[1,2159,2167,1,0],[1,2167,2175,1,0],[1,2175,2183,1,0],[1,2183,2191,1,0],[0,2197,2205,1,0],[1,2205,2213,1,0],[1,2213,2221,1,0],[1,2221,2229,1,0],[1,2229,2237,1,0],[1,2237,2245,1,0],[1,2245,2253,1,0],[1,2253,2261,1,0],[1,2261,2269,1,0],[1,2269,2277,1,0],[1,2277,2285,1,0],[1,2287,2295,1,0],[1,2295,2303,1,0],[1,2303,2311,1,0],[0,2317,2325,1,0],[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],[0,2370,2374,1,0],[0,2377,2385,1,0],[0,2385,2393,1,0],[1,2399,2407,1,0],[0,2415,2423,1,0],[0,2423,2431,1,0],[0,2438,2446,1,0],[1,2446,2454,1,0],[0,2459,2467,1,0],[0,2467,2475,1,0],[0,2475,2483,1,0],[0,2483,2491,1,0],[0,2491,2499,1,0],[0,2499,2503,1,0],[0,2507,2511,1,0],[0,2511,2519,1,0],[0,2519,2527,1,0],[0,2563,2571,1,0],[0,2571,2579,1,0],[0,2579,2583,1,0],[0,2588,2596,1,0],[0,2596,2604,1,0],[0,2604,2612,1,0],[0,2612,2620,1,0],[0,2620,2628,1,0],[0,2628,2632,1,0],[1,2650,2658,1,0],[1,2658,2666,1,0],[1,2666,2670,1,0],[0,2681,2689,1,0],[1,2689,2697,1,0],[1,2697,2705,1,0],[1,2705,2713,1,0],[0,2718,2726,1,0],[0,2727,2735,1,0],[1,2735,2743,1,0],[1,2743,2751,1,0],[1,2751,2759,1,0],[1,2759,2767,1,0],[1,2767,2771,1,0],[1,2771,2779,1,0],[1,2844,2852,1,0],[1,2894,2902,1,0],[1,2924,2932,1,0],[1,2946,2954,1,0],[1,2954,2958,1,0],[1,2958,2966,1,0],[1,2966,2974,1,0],[1,2974,2982,1,0],[0,3029,3037,1,0],[0,3038,3046,1,0],[1,3090,3098,1,0],[0,3103,3111,1,0],[0,3112,3120,1,0],[0,3120,3128,1,0],[0,3128,3136,1,0],[0,3136,3144,1,0],[0,3144,3152,1,0],[0,3152,3160,1,0],[0,3160,3164,1,0],[0,3182,3190,1,0],[0,3190,3198,1,0],[1,3198,3206,1,0],[1,3206,3214,1,0],[1,3214,3222,1,0],[1,3222,3226,1,0],[0,3231,3239,1,0],[0,3239,3247,1,0],[0,3252,3260,1,0],[1,3260,3268,1,0],[1,3268,3276,1,0],[1,3276,3284,1,0],[1,3284,3292,1,0],[1,3292,3296,1,0],[1,3296,3304,1,0],[0,3310,3318,1,0],[1,3318,3326,1,0],[1,3326,3334,1,0],[0,3339,3347,1,0],[0,3347,3355,1,0],[0,3355,3363,1,0],[0,3363,3367,1,0],[0,3372,3380,1,0],[0,3387,3395,1,0],[0,3405,3413,1,0],[0,3414,3422,1,0],[1,3422,3430,1,0],[1,3430,3438,1,0],[0,3465,3473,1,0],[0,3473,3481,1,0],[1,3481,3489,1,0],[0,3494,3502,1,0],[1,3505,3513,1,0],[1,3513,3521,1,0],[1,3521,3529,1,0],[0,3534,3542,1,0],[1,3543,3551,1,0],[1,3551,3559,1,0],[1,3559,3563,1,0],[1,3564,3572,1,0],[1,3588,3596,1,0],[1,3596,3604,1,0],[1,3604,3612,1,0],[1,3612,3616,1,0],[1,3616,3624,1,0],[1,3624,3632,1,0],[1,3662,3670,1,0],[0,3675,3683,1,0],[0,3687,3695,1,0],[0,3708,3716,1,0],[0,3728,3736,1,0],[0,3748,3756,1,0],[0,3773,3781,1,0],[0,3781,3789,1,0],[0,3789,3797,1,0],[0,3797,3805,1,0],[0,3805,3809,1,0],[1,4012,4020,1,0],[1,4020,4028,1,0],[1,4028,4036,1,0],[1,4036,4044,1,0],[1,4044,4048,1,0],[0,4053,4061,1,0]],[[0,2,10,1,0],[0,10,18,1,0],[0,19,27,1,0],[0,27,35,1,0],[0,39,43,1,0],[0,43,51,1,0],[0,52,56,1,0],[0,68,72,1,0],[0,72,76,1,0],[0,78,86,1,0],[0,89,93,1,0],[1,97,105,1,0],[1,105,113,1,0],[1,114,122,1,0],[1,122,130,1,0],[0,135,139,1,0],[0,140,144,1,0],[0,144,148,1,0],[0,148,156,1,0],[0,156,164,1,0],[0,164,172,1,0],[1,173,181,1,0],[1,191,199,1,0],[1,199,207,1,0],[1,207,215,1,0],[0,220,228,1,0],[0,228,236,1,0],[0,237,245,1,0],[1,251,259,1,0],[0,264,272,1,0],[1,273,281,1,0],[1,281,289,1,0],[1,295,303,1,0],[0,314,322,1,0],[0,322,330,1,0],[1,332,340,1,0],[1,340,348,1,0],[0,353,361,1,0],[0,361,369,1,0],[0,369,377,1,0],[0,377,381,1,0],[1,387,395,1,0],[0,400,408,1,0],[1,414,422,1,0],[1,422,430,1,0],[1,430,438,1,0],[0,443,451,1,0],[0,451,459,1,0],[0,459,467,1,0],[0,467,475,1,0],[0,475,483,1,0],[0,485,493,1,0],[0,495,499,1,0],[1,502,510,1,0],[1,510,518,1,0],[0,523,531,1,0],[0,531,539,1,0],[0,539,547,1,0],[0,549,557,1,0],[0,577,585,1,0],[1,590,598,1,0],[0,603,611,1,0],[1,651,659,1,0],[0,664,672,1,0],[0,672,680,1,0],[1,680,688,1,0],[0,693,701,1,0],[0,701,709,1,0],[0,709,717,1,0],[1,718,726,1,0],[1,726,734,1,0],[1,746,754,1,0],[1,763,771,1,0],[0,776,784,1,0],[1,788,796,1,0],[0,801,809,1,0],[0,809,817,1,0],[1,819,827,1,0],[1,827,835,1,0],[1,835,843,1,0],[1,844,852,1,0],[1,861,869,1,0],[0,874,882,1,0],[0,882,890,1,0],[0,891,899,1,0],[0,899,907,1,0],[0,907,915,1,0],[0,915,923,1,0],[0,923,931,1,0],[0,931,935,1,0],[1,937,945,1,0],[1,945,953,1,0],[0,958,966,1,0],[0,966,974,1,0],[0,974,982,1,0],[1,986,994,1,0],[1,994,1002,1,0],[0,1007,1015,1,0],[1,1024,1032,1,0],[1,1068,1076,1,0],[0,1081,1089,1,0],[1,1100,1108,1,0],[1,1118,1126,1,0],[1,1131,1139,1,0],[0,1144,1152,1,0],[1,1155,1163,1,0],[1,1163,1171,1,0],[0,1176,1184,1,0],[0,1184,1192,1,0],[0,1192,1200,1,0],[1,1201,1209,1,0],[1,1222,1230,1,0],[0,1237,1245,1,0],[1,1252,1260,1,0],[0,1265,1273,1,0],[0,1273,1281,1,0],[0,1295,1303,1,0],[0,1303,1307,1,0],[1,1324,1332,1,0],[1,1332,1340,1,0],[0,1345,1353,1,0],[0,1353,1361,1,0],[0,1361,1369,1,0],[0,1369,1373,1,0],[0,1373,1381,1,0],[0,1384,1388,1,0],[1,1388,1396,1,0],[1,1396,1404,1,0],[0,1410,1418,1,0],[1,1421,1429,1,0],[0,1434,1442,1,0],[0,1442,1450,1,0],[1,1452,1460,1,0],[1,1467,1475,1,0],[1,1484,1492,1,0],[1,1492,1500,1,0],[0,1505,1513,1,0],[1,1513,1521,1,0],[0,1526,1534,1,0],[1,1534,1542,1,0],[0,1547,1555,1,0],[1,1555,1563,1,0],[0,1568,1576,1,0],[1,1578,1586,1,0],[0,1591,1599,1,0],[1,1603,1611,1,0],[0,1618,1626,1,0],[0,1626,1634,1,0],[1,1634,1642,1,0],[1,1642,1650,1,0],[1,1650,1658,1,0],[0,1663,1671,1,0],[0,1672,1680,1,0],[0,1680,1684,1,0],[0,1687,1695,1,0],[1,1696,1704,1,0],[1,1705,1713,1,0],[0,1718,1726,1,0],[0,1726,1734,1,0],[1,1734,1742,1,0],[0,1747,1751,1,0],[1,1753,1761,1,0],[0,1766,1770,1,0],[0,1772,1780,1,0],[0,1780,1784,1,0],[0,1787,1791,1,0],[0,1791,1795,1,0],[0,1795,1799,1,0],[1,1804,1812,1,0],[1,1812,1820,1,0],[0,1828,1832,1,0],[1,1832,1840,1,0],[0,1845,1849,1,0],[1,1850,1858,1,0],[0,1863,1867,1,0],[1,1867,1875,1,0],[0,1880,1884,1,0],[1,1885,1893,1,0],[0,1898,1902,1,0],[0,1902,1906,1,0],[1,1985,1993,1,0],[1,1993,2001,1,0],[1,2001,2009,1,0],[1,2010,2018,1,0],[1,2018,2026,1,0],[0,2031,2039,1,0],[1,2047,2055,1,0],[1,2055,2063,1,0],[1,2072,2080,1,0],[0,2087,2095,1,0],[1,2095,2103,1,0],[1,2114,2122,1,0],[0,2127,2135,1,0],[0,2135,2143,1,0],[0,2143,2151,1,0],[0,2151,2159,1,0],[0,2159,2167,1,0],[0,2167,2175,1,0],[0,2176,2184,1,0],[1,2185,2193,1,0],[0,2200,2208,1,0],[1,2208,2216,1,0],[0,2221,2229,1,0],[0,2229,2237,1,0],[1,2237,2245,1,0],[0,2250,2254,1,0],[1,2260,2268,1,0],[1,2268,2276,1,0],[0,2281,2285,1,0],[0,2285,2293,1,0],[1,2298,2306,1,0],[1,2307,2315,1,0],[1,2315,2323,1,0],[0,2333,2341,1,0],[0,2341,2349,1,0],[1,2352,2360,1,0],[0,2367,2375,1,0],[1,2375,2383,1,0],[0,2388,2396,1,0],[1,2396,2404,1,0],[1,2404,2412,1,0],[1,2412,2420,1,0],[1,2420,2428,1,0],[0,2440,2448,1,0],[0,2449,2457,1,0],[0,2457,2465,1,0],[0,2466,2474,1,0],[0,2474,2482,1,0],[1,2482,2490,1,0],[1,2490,2498,1,0],[0,2510,2518,1,0],[1,2518,2526,1,0],[0,2531,2539,1,0],[0,2545,2553,1,0],[0,2557,2565,1,0],[1,2565,2573,1,0],[0,2578,2586,1,0],[0,2586,2594,1,0],[0,2594,2602,1,0],[0,2607,2615,1,0],[1,2615,2623,1,0],[1,2623,2631,1,0],[0,2636,2644,1,0],[1,2644,2652,1,0],[0,2657,2665,1,0],[1,2665,2673,1,0],[1,2676,2684,1,0],[1,2684,2692,1,0],[1,2692,2700,1,0],[1,2700,2708,1,0],[1,2708,2712,1,0],[0,2717,2725,1,0],[0,2725,2733,1,0],[0,2733,2741,1,0],[0,2741,2749,1,0],[0,2749,2757,1,0],[1,2757,2765,1,0],[0,2770,2774,1,0],[0,2777,2785,1,0],[1,2785,2793,1,0],[0,2798,2806,1,0],[1,2807,2815,1,0],[1,2826,2834,1,0],[1,2834,2842,1,0],[0,2849,2857,1,0],[1,2857,2865,1,0],[0,2870,2878,1,0],[0,2878,2886,1,0],[0,2888,2892,1,0],[0,2892,2900,1,0],[0,2900,2908,1,0],[0,2908,2916,1,0],[0,2916,2924,1,0],[0,2924,2928,1,0],[0,2928,2936,1,0],[0,2936,2944,1,0],[0,2944,2952,1,0],[1,2954,2962,1,0],[0,2967,2975,1,0],[0,2975,2979,1,0],[1,2983,2991,1,0],[1,2991,2999,1,0],[1,2999,3007,1,0],[1,3007,3011,1,0],[1,3011,3019,1,0],[0,3024,3032,1,0],[0,3032,3040,1,0],[0,3040,3048,1,0],[0,3048,3056,1,0],[0,3056,3060,1,0],[0,3060,3068,1,0],[0,3068,3076,1,0],[0,3076,3084,1,0],[0,3084,3092,1,0],[1,3093,3101,1,0],[1,3101,3109,1,0],[1,3122,3130,1,0],[0,3135,3143,1,0],[0,3143,3147,1,0],[0,3147,3155,1,0],[0,3155,3163,1,0],[0,3163,3171,1,0],[0,3171,3179,1,0],[0,3179,3183,1,0],[1,3198,3206,1,0],[1,3206,3210,1,0],[1,3210,3218,1,0],[1,3218,3226,1,0],[1,3226,3234,1,0],[1,3234,3242,1,0],[1,3302,3310,1,0],[1,3310,3318,1,0],[1,3318,3322,1,0],[1,3322,3330,1,0],[1,3330,3338,1,0],[1,3338,3346,1,0],[1,3346,3354,1,0],[0,3360,3368,1,0],[1,3371,3379,1,0],[1,3379,3387,1,0],[0,3392,3400,1,0],[1,3405,3413,1,0],[1,3413,3417,1,0],[1,3417,3425,1,0],[1,3425,3433,1,0],[1,3433,3441,1,0],[1,3443,3451,1,0],[1,3451,3455,1,0],[1,3466,3474,1,0],[1,3485,3493,1,0],[1,3493,3501,1,0],[0,3506,3514,1,0],[0,3514,3522,1,0],[1,3522,3530,1,0],[1,3530,3538,1,0],[1,3538,3546,1,0],[1,3546,3554,1,0],[1,3554,3558,1,0],[0,3563,3571,1,0],[0,3571,3579,1,0],[0,3579,3583,1,0],[1,3587,3595,1,0],[0,3600,3608,1,0],[1,3608,3616,1,0],[1,3616,3624,1,0],[1,3624,3632,1,0],[0,3637,3645,1,0],[0,3645,3653,1,0],[0,3653,3657,1,0],[0,3748,3756,1,0],[0,3756,3764,1,0],[0,3764,3772,1,0],[0,3772,3780,1,0],[0,3780,3788,1,0],[0,3788,3792,1,0],[1,3795,3799,1,0],[1,3799,3807,1,0],[1,3807,3815,1,0],[1,3815,3823,1,0],[1,3823,3831,1,0],[1,3831,3839,1,0],[1,3839,3847,1,0],[1,3847,3855,1,0],[0,3860,3868,1,0],[0,3868,3876,1,0],[0,3876,3884,1,0],[0,3884,3892,1,0],[0,3892,3896,1,0]],[[0,2,10,1,0],[0,11,19,1,0],[0,26,34,1,0],[0,34,42,1,0],[0,42,46,1,0],[0,46,50,1,0],[0,62,66,1,0],[0,66,70,1,0],[0,70,78,1,0],[0,84,88,1,0],[0,88,92,1,0],[1,97,105,1,0],[1,105,113,1,0],[1,113,121,1,0],[0,126,130,1,0],[0,130,138,1,0],[0,138,142,1,0],[0,142,150,1,0],[1,170,178,1,0],[1,179,187,1,0],[1,187,195,1,0],[1,195,203,1,0],[1,209,217,1,0],[0,222,230,1,0],[0,232,240,1,0],[1,257,265,1,0],[0,271,279,1,0],[1,280,288,1,0],[1,288,296,1,0],[0,301,309,1,0],[1,309,317,1,0],[1,324,332,1,0],[0,337,345,1,0],[0,345,353,1,0],[1,358,366,1,0],[1,379,387,1,0],[0,392,400,1,0],[1,405,413,1,0],[0,418,426,1,0],[0,428,436,1,0],[1,436,444,1,0],[0,449,457,1,0],[1,459,467,1,0],[1,467,475,1,0],[0,482,490,1,0],[0,490,498,1,0],[1,501,509,1,0],[0,518,526,1,0],[0,526,534,1,0],[0,534,542,1,0],[1,544,552,1,0],[0,557,565,1,0],[1,572,580,1,0],[0,585,593,1,0],[0,593,601,1,0],[1,609,617,1,0],[1,620,628,1,0],[0,633,641,1,0],[0,641,649,1,0],[0,649,653,1,0],[0,657,665,1,0],[0,665,673,1,0],[0,673,681,1,0],[0,682,690,1,0],[1,697,705,1,0],[0,710,718,1,0],[1,724,732,1,0],[1,736,744,1,0],[1,756,764,1,0],[1,766,774,1,0],[0,779,787,1,0],[0,787,795,1,0],[1,797,805,1,0],[0,810,818,1,0],[0,820,828,1,0],[1,834,842,1,0],[0,847,855,1,0],[0,855,863,1,0],[0,868,876,1,0],[0,876,884,1,0],[0,885,893,1,0],[1,897,905,1,0],[1,905,913,1,0],[1,913,921,1,0],[0,926,934,1,0],[0,934,942,1,0],[0,942,950,1,0],[0,952,960,1,0],[0,960,968,1,0],[0,968,976,1,0],[1,980,988,1,0],[0,993,997,1,0],[1,1001,1009,1,0],[1,1019,1027,1,0],[0,1032,1040,1,0],[1,1047,1055,1,0],[1,1055,1063,1,0],[1,1073,1081,1,0],[0,1086,1094,1,0],[0,1096,1104,1,0],[1,1110,1118,1,0],[1,1124,1132,1,0],[1,1141,1149,1,0],[1,1149,1157,1,0],[0,1162,1170,1,0],[1,1170,1178,1,0],[0,1183,1191,1,0],[1,1191,1199,1,0],[0,1204,1212,1,0],[0,1212,1220,1,0],[0,1220,1228,1,0],[1,1229,1237,1,0],[1,1237,1245,1,0],[0,1250,1258,1,0],[0,1260,1268,1,0],[0,1268,1276,1,0],[0,1276,1280,1,0],[0,1280,1288,1,0],[0,1288,1296,1,0],[1,1297,1305,1,0],[0,1311,1319,1,0],[0,1319,1327,1,0],[0,1327,1331,1,0],[0,1335,1343,1,0],[0,1348,1352,1,0],[1,1355,1363,1,0],[1,1363,1371,1,0],[0,1376,1384,1,0],[0,1384,1392,1,0],[1,1398,1406,1,0],[0,1411,1419,1,0],[0,1419,1427,1,0],[1,1433,1441,1,0],[1,1441,1449,1,0],[0,1457,1465,1,0],[0,1470,1474,1,0],[1,1474,1482,1,0],[0,1487,1495,1,0],[0,1495,1503,1,0],[1,1506,1514,1,0],[1,1517,1525,1,0],[1,1525,1533,1,0],[1,1533,1541,1,0],[0,1549,1557,1,0],[1,1557,1565,1,0],[0,1570,1578,1,0],[1,1578,1586,1,0],[0,1592,1600,1,0],[1,1600,1608,1,0],[0,1614,1622,1,0],[0,1622,1630,1,0],[1,1630,1638,1,0],[0,1643,1651,1,0],[0,1653,1661,1,0],[1,1661,1669,1,0],[1,1669,1677,1,0],[0,1687,1695,1,0],[0,1697,1705,1,0],[1,1709,1717,1,0],[0,1722,1730,1,0],[1,1730,1738,1,0],[0,1743,1751,1,0],[0,1751,1759,1,0],[0,1763,1771,1,0],[0,1771,1779,1,0],[0,1779,1787,1,0],[0,1787,1791,1,0],[1,1798,1806,1,0],[1,1806,1814,1,0],[1,1814,1822,1,0],[1,1822,1830,1,0],[0,1835,1839,1,0],[0,1842,1846,1,0],[1,1846,1854,1,0],[1,1854,1862,1,0],[0,1867,1875,1,0],[0,1877,1881,1,0],[0,1881,1885,1,0],[0,1890,1894,1,0],[0,1900,1904,1,0],[0,1904,1908,1,0],[0,1915,1923,1,0],[0,1923,1927,1,0],[1,1934,1942,1,0],[0,1947,1951,1,0],[1,1951,1959,1,0],[0,1964,1968,1,0],[1,1968,1976,1,0],[1,1976,1984,1,0],[1,1984,1992,1,0],[0,1997,2001,1,0],[0,2004,2008,1,0],[0,2008,2012,1,0],[0,2012,2020,1,0],[1,2021,2029,1,0],[1,2029,2037,1,0],[0,2047,2055,1,0],[1,2055,2063,1,0],[1,2063,2071,1,0],[1,2071,2079,1,0],[1,2106,2114,1,0],[0,2119,2127,1,0],[0,2154,2162,1,0],[0,2166,2174,1,0],[0,2175,2183,1,0],[0,2183,2187,1,0],[0,2205,2213,1,0],[1,2225,2233,1,0],[1,2233,2241,1,0],[1,2241,2249,1,0],[1,2249,2257,1,0],[1,2270,2278,1,0],[1,2278,2286,1,0],[1,2286,2294,1,0],[1,2308,2316,1,0],[1,2316,2324,1,0],[1,2324,2332,1,0],[1,2332,2340,1,0],[1,2352,2360,1,0],[1,2362,2370,1,0],[1,2378,2386,1,0],[1,2386,2394,1,0],[1,2394,2402,1,0],[1,2402,2410,1,0],[1,2410,2418,1,0],[1,2418,2426,1,0],[0,2436,2444,1,0],[0,2455,2463,1,0],[0,2465,2473,1,0],[0,2473,2481,1,0],[0,2489,2497,1,0],[0,2497,2505,1,0],[1,2505,2513,1,0],[1,2513,2521,1,0],[1,2521,2529,1,0],[1,2529,2537,1,0],[0,2549,2557,1,0],[0,2557,2565,1,0],[1,2565,2573,1,0],[1,2573,2581,1,0],[0,2587,2595,1,0],[0,2595,2603,1,0],[1,2603,2611,1,0],[1,2611,2619,1,0],[1,2619,2627,1,0],[0,2638,2646,1,0],[0,2646,2654,1,0],[0,2654,2662,1,0],[0,2662,2666,1,0],[0,2672,2680,1,0],[0,2680,2688,1,0],[0,2688,2696,1,0],[0,2696,2704,1,0],[0,2704,2712,1,0],[0,2712,2716,1,0],[0,2719,2727,1,0],[0,2727,2735,1,0],[0,2735,2743,1,0],[0,2751,2759,1,0],[0,2763,2771,1,0],[0,2771,2779,1,0],[0,2779,2787,1,0],[0,2787,2795,1,0],[1,2796,2804,1,0],[1,2804,2812,1,0],[1,2812,2820,1,0],[1,2820,2828,1,0],[1,2829,2833,1,0],[1,2833,2841,1,0],[0,2851,2859,1,0],[1,2861,2869,1,0],[0,2879,2887,1,0],[0,2888,2896,1,0],[1,2896,2904,1,0],[0,2912,2920,1,0],[1,2920,2928,1,0],[1,2928,2936,1,0],[1,2936,2944,1,0],[0,2951,2959,1,0],[0,2959,2967,1,0],[1,2973,2981,1,0],[0,2986,2990,1,0],[0,2990,2998,1,0],[0,2998,3006,1,0],[0,3007,3015,1,0],[0,3015,3023,1,0],[0,3023,3027,1,0],[1,3030,3038,1,0],[1,3038,3046,1,0],[1,3063,3071,1,0],[1,3085,3089,1,0],[0,3094,3102,1,0],[1,3102,3110,1,0],[0,3120,3128,1,0],[1,3128,3136,1,0],[1,3136,3144,1,0],[1,3144,3152,1,0],[1,3153,3161,1,0],[0,3166,3174,1,0],[0,3174,3182,1,0],[0,3182,3190,1,0],[0,3190,3198,1,0],[1,3198,3206,1,0],[1,3206,3214,1,0],[1,3214,3222,1,0],[1,3222,3226,1,0],[0,3231,3235,1,0],[0,3235,3243,1,0],[0,3243,3251,1,0],[1,3256,3264,1,0],[1,3264,3272,1,0],[1,3272,3280,1,0],[1,3280,3288,1,0],[1,3288,3292,1,0],[0,3297,3305,1,0],[0,3305,3313,1,0],[0,3313,3321,1,0],[0,3321,3329,1,0],[0,3329,3333,1,0],[0,3333,3341,1,0],[0,3341,3349,1,0],[0,3349,3353,1,0],[1,3391,3399,1,0],[1,3399,3407,1,0],[1,3407,3415,1,0],[1,3415,3423,1,0],[1,3423,3427,1,0],[1,3475,3483,1,0],[1,3483,3491,1,0],[1,3491,3499,1,0],[1,3499,3507,1,0],[1,3507,3511,1,0],[1,3511,3519,1,0],[1,3519,3527,1,0],[0,3532,3540,1,0],[1,3542,3550,1,0],[0,3555,3563,1,0],[0,3563,3571,1,0],[0,3571,3579,1,0],[0,3579,3583,1,0],[1,3585,3593,1,0],[1,3593,3601,1,0],[1,3601,3609,1,0],[1,3661,3669,1,0],[1,3669,3677,1,0],[1,3677,3685,1,0],[1,3685,3693,1,0],[1,3693,3697,1,0],[1,3697,3705,1,0],[1,3705,3713,1,0],[0,3718,3726,1,0],[0,3726,3734,1,0],[1,3741,3749,1,0],[1,3749,3757,1,0],[1,3757,3761,1,0],[0,3766,3774,1,0],[0,3774,3782,1,0],[0,3782,3786,1,0],[0,3786,3794,1,0],[0,3794,3802,1,0],[0,3802,3810,1,0],[0,3810,3818,1,0],[0,3818,3822,1,0],[0,3845,3853,1,0],[0,3853,3861,1,0],[0,3861,3869,1,0],[0,3869,3877,1,0],[0,3877,3881,1,0]],[[0,0,8,1,0],[0,8,16,1,0],[0,16,24,1,0],[0,24,32,1,0],[0,38,46,1,0],[0,46,54,1,0],[0,56,64,1,0],[0,64,72,1,0],[0,72,80,1,0],[0,83,91,1,0],[1,98,106,1,0],[1,106,114,1,0],[1,114,122,1,0],[1,122,130,1,0],[1,130,138,1,0],[1,138,146,1,0],[1,146,154,1,0],[1,162,170,1,0],[1,170,178,1,0],[1,178,186,1,0],[0,191,199,1,0],[1,199,207,1,0],[0,212,220,1,0],[1,220,228,1,0],[1,228,236,1,0],[1,236,244,1,0],[1,254,262,1,0],[0,273,277,1,0],[0,277,285,1,0],[0,289,293,1,0],[0,298,302,1,0],[0,314,318,1,0],[0,324,328,1,0],[0,340,344,1,0],[0,344,348,1,0],[1,354,362,1,0],[0,369,373,1,0],[0,373,381,1,0],[1,381,389,1,0],[0,394,402,1,0],[1,404,412,1,0],[0,417,425,1,0],[1,425,433,1,0],[0,440,448,1,0],[1,448,456,1,0],[0,461,469,1,0],[1,471,479,1,0],[0,484,492,1,0],[1,492,500,1,0],[0,512,520,1,0],[1,520,528,1,0],[0,533,541,1,0],[1,541,549,1,0],[0,554,562,1,0],[1,562,570,1,0],[0,575,583,1,0],[1,583,591,1,0],[0,596,604,1,0],[1,604,612,1,0],[0,620,628,1,0],[1,628,636,1,0],[0,641,649,1,0],[1,649,657,1,0],[0,662,670,1,0],[1,670,678,1,0],[0,684,692,1,0],[1,694,702,1,0],[1,702,710,1,0],[0,721,729,1,0],[0,729,737,1,0],[0,739,747,1,0],[0,747,755,1,0],[0,755,763,1,0],[0,763,771,1,0],[0,771,779,1,0],[0,779,783,1,0],[0,783,791,1,0],[1,796,804,1,0],[1,811,819,1,0],[0,824,832,1,0],[0,832,836,1,0],[0,836,844,1,0],[0,846,854,1,0],[0,854,862,1,0],[0,867,875,1,0],[0,875,879,1,0],[0,879,887,1,0],[1,888,896,1,0],[0,903,907,1,0],[0,909,913,1,0],[0,913,921,1,0],[0,921,929,1,0],[1,930,938,1,0],[0,950,958,1,0],[1,958,966,1,0],[0,971,979,1,0],[0,979,987,1,0],[1,990,998,1,0],[0,1003,1011,1,0],[1,1016,1024,1,0],[1,1024,1032,1,0],[1,1032,1040,1,0],[0,1045,1053,1,0],[1,1053,1061,1,0],[0,1066,1074,1,0],[1,1077,1085,1,0],[0,1090,1098,1,0],[0,1098,1106,1,0],[0,1106,1114,1,0],[1,1114,1122,1,0],[0,1127,1135,1,0],[1,1136,1144,1,0],[1,1144,1152,1,0],[0,1157,1165,1,0],[1,1168,1176,1,0],[0,1181,1189,1,0],[0,1189,1197,1,0],[0,1197,1205,1,0],[0,1205,1209,1,0],[0,1210,1218,1,0],[0,1218,1226,1,0],[1,1226,1234,1,0],[1,1240,1248,1,0],[1,1251,1259,1,0],[1,1259,1267,1,0],[0,1272,1280,1,0],[0,1282,1290,1,0],[0,1290,1298,1,0],[1,1300,1308,1,0],[1,1308,1316,1,0],[0,1321,1329,1,0],[0,1329,1337,1,0],[0,1338,1346,1,0],[0,1346,1350,1,0],[1,1351,1359,1,0],[0,1364,1372,1,0],[1,1372,1380,1,0],[0,1385,1393,1,0],[0,1393,1397,1,0],[1,1397,1405,1,0],[0,1410,1418,1,0],[1,1419,1427,1,0],[1,1432,1440,1,0],[1,1440,1448,1,0],[0,1453,1461,1,0],[0,1461,1469,1,0],[0,1469,1477,1,0],[0,1478,1486,1,0],[0,1486,1490,1,0],[0,1491,1495,1,0],[0,1495,1499,1,0],[0,1499,1503,1,0],[0,1503,1507,1,0],[0,1509,1513,1,0],[0,1513,1517,1,0],[0,1517,1521,1,0],[0,1521,1525,1,0],[0,1525,1529,1,0],[0,1529,1537,1,0],[0,1537,1541,1,0],[0,1541,1549,1,0],[0,1549,1557,1,0],[1,1562,1570,1,0],[1,1570,1578,1,0],[1,1578,1586,1,0],[1,1586,1594,1,0],[1,1594,1602,1,0],[1,1604,1612,1,0],[0,1617,1625,1,0],[0,1625,1633,1,0],[0,1633,1637,1,0],[0,1637,1645,1,0],[0,1645,1653,1,0],[0,1653,1661,1,0],[0,1661,1669,1,0],[0,1669,1673,1,0],[0,1673,1681,1,0],[0,1681,1689,1,0],[0,1689,1697,1,0],[0,1697,1705,1,0],[0,1705,1709,1,0],[0,1709,1717,1,0],[0,1717,1725,1,0],[0,1725,1733,1,0],[0,1733,1741,1,0],[1,1743,1751,1,0],[1,1751,1759,1,0],[1,1759,1767,1,0],[1,1767,1775,1,0],[1,1779,1787,1,0],[0,1792,1800,1,0],[0,1800,1808,1,0],[0,1811,1819,1,0],[0,1819,1823,1,0],[1,1826,1834,1,0],[1,1841,1849,1,0],[1,1849,1853,1,0],[0,1858,1866,1,0],[0,1866,1874,1,0],[0,1874,1882,1,0],[0,1882,1886,1,0],[0,1886,1894,1,0],[0,1894,1902,1,0],[0,1902,1910,1,0],[0,1911,1919,1,0],[0,1919,1923,1,0],[0,1923,1931,1,0],[0,1931,1939,1,0],[0,1939,1947,1,0],[1,1950,1958,1,0],[0,1963,1971,1,0],[0,1971,1975,1,0],[0,1975,1983,1,0],[0,1983,1991,1,0],[0,1991,1999,1,0],[1,2006,2014,1,0],[0,2019,2027,1,0],[0,2027,2031,1,0],[1,2040,2048,1,0],[0,2054,2062,1,0],[1,2066,2074,1,0],[1,2074,2078,1,0],[0,2084,2092,1,0],[1,2096,2104,1,0],[0,2109,2117,1,0],[0,2117,2125,1,0],[0,2125,2133,1,0],[1,2139,2147,1,0],[0,2152,2160,1,0],[0,2160,2164,1,0],[1,2179,2187,1,0],[1,2187,2195,1,0],[1,2195,2203,1,0],[1,2203,2207,1,0],[1,2233,2241,1,0],[0,2246,2254,1,0],[0,2262,2270,1,0],[1,2285,2293,1,0],[0,2300,2308,1,0],[1,2312,2320,1,0],[1,2320,2328,1,0],[1,2328,2336,1,0],[0,2341,2349,1,0],[1,2355,2363,1,0],[1,2363,2371,1,0],[0,2376,2384,1,0],[1,2392,2400,1,0],[1,2400,2408,1,0],[1,2408,2416,1,0],[1,2416,2424,1,0],[1,2424,2428,1,0],[0,2433,2441,1,0],[1,2442,2450,1,0],[0,2455,2463,1,0],[1,2492,2500,1,0],[1,2500,2508,1,0],[1,2508,2516,1,0],[1,2516,2524,1,0],[0,2529,2537,1,0],[0,2537,2545,1,0],[0,2545,2553,1,0],[1,2553,2557,1,0],[1,2591,2599,1,0],[1,2599,2607,1,0],[1,2607,2615,1,0],[1,2649,2657,1,0],[1,2673,2681,1,0],[1,2681,2685,1,0],[1,2690,2698,1,0],[1,2709,2717,1,0],[0,2722,2730,1,0],[0,2730,2738,1,0],[0,2751,2759,1,0],[0,2773,2781,1,0],[0,2781,2789,1,0],[0,2794,2802,1,0],[1,2804,2812,1,0],[1,2821,2829,1,0],[1,2829,2837,1,0],[1,2843,2851,1,0],[0,2856,2864,1,0],[1,2864,2872,1,0],[1,2880,2888,1,0],[0,2893,2901,1,0],[0,2903,2911,1,0],[0,2916,2924,1,0],[1,2928,2936,1,0],[1,2936,2944,1,0],[1,2946,2954,1,0],[1,2954,2962,1,0],[1,2962,2966,1,0],[0,2971,2979,1,0],[1,3025,3033,1,0],[1,3045,3053,1,0],[1,3053,3061,1,0],[1,3062,3070,1,0],[0,3075,3083,1,0],[1,3083,3091,1,0],[0,3096,3104,1,0],[1,3111,3119,1,0],[0,3124,3132,1,0],[1,3138,3146,1,0],[0,3151,3159,1,0],[0,3161,3169,1,0],[0,3169,3177,1,0],[0,3177,3185,1,0],[0,3191,3199,1,0],[0,3208,3216,1,0],[0,3216,3224,1,0],[0,3224,3228,1,0],[1,3244,3252,1,0],[1,3252,3260,1,0],[1,3260,3268,1,0],[1,3268,3276,1,0],[1,3276,3284,1,0],[1,3284,3292,1,0],[1,3292,3296,1,0],[0,3301,3309,1,0],[0,3311,3319,1,0],[0,3319,3327,1,0],[0,3327,3335,1,0],[0,3335,3343,1,0],[0,3343,3347,1,0],[1,3354,3362,1,0],[1,3362,3370,1,0],[0,3375,3383,1,0],[1,3387,3395,1,0],[1,3409,3417,1,0],[1,3417,3425,1,0],[1,3425,3433,1,0],[1,3433,3441,1,0],[1,3441,3449,1,0],[1,3449,3457,1,0],[1,3457,3465,1,0],[1,3465,3473,1,0],[1,3473,3481,1,0],[1,3481,3489,1,0],[1,3489,3497,1,0],[1,3501,3509,1,0],[1,3509,3517,1,0],[1,3517,3525,1,0],[1,3526,3534,1,0],[1,3534,3542,1,0],[0,3551,3559,1,0],[0,3559,3567,1,0],[1,3574,3582,1,0],[1,3582,3590,1,0],[1,3590,3598,1,0],[1,3598,3606,1,0],[1,3606,3614,1,0],[0,3619,3627,1,0],[1,3634,3642,1,0],[1,3642,3650,1,0],[1,3658,3666,1,0],[0,3671,3679,1,0],[0,3679,3687,1,0],[1,3688,3696,1,0],[0,3701,3709,1,0],[0,3709,3717,1,0],[0,3717,3721,1,0],[1,3726,3734,1,0],[1,3736,3744,1,0],[1,3744,3752,1,0],[1,3752,3760,1,0],[1,3761,3769,1,0],[0,3774,3782,1,0],[0,3782,3790,1,0],[0,3790,3794,1,0]],[[0,0,8,1,0],[0,8,16,1,0],[0,16,24,1,0],[0,24,32,1,0],[0,34,42,1,0],[0,42,50,1,0],[0,50,58,1,0],[0,58,66,1,0],[0,67,75,1,0],[0,75,83,1,0],[0,83,91,1,0],[1,98,106,1,0],[1,107,115,1,0],[1,118,126,1,0],[1,126,134,1,0],[1,134,142,1,0],[1,142,150,1,0],[1,150,158,1,0],[1,158,166,1,0],[1,166,174,1,0],[1,182,190,1,0],[0,195,203,1,0],[1,203,211,1,0],[0,216,224,1,0],[1,224,232,1,0],[1,232,240,1,0],[1,240,248,1,0],[1,248,256,1,0],[1,256,264,1,0],[0,269,273,1,0],[0,279,283,1,0],[0,284,288,1,0],[0,288,296,1,0],[0,296,300,1,0],[0,300,304,1,0],[1,306,314,1,0],[0,319,323,1,0],[0,325,329,1,0],[0,329,333,1,0],[0,333,341,1,0],[0,341,349,1,0],[0,355,359,1,0],[0,366,374,1,0],[0,380,384,1,0],[1,386,394,1,0],[0,399,407,1,0],[1,409,417,1,0],[0,425,433,1,0],[1,433,441,1,0],[1,441,449,1,0],[0,454,462,1,0],[0,462,470,1,0],[1,474,482,1,0],[1,483,491,1,0],[0,503,511,1,0],[0,511,519,1,0],[0,519,523,1,0],[0,527,535,1,0],[1,535,543,1,0],[0,548,556,1,0],[1,556,564,1,0],[0,569,577,1,0],[1,577,585,1,0],[0,590,598,1,0],[1,598,606,1,0],[0,611,619,1,0],[1,619,627,1,0],[0,632,640,1,0],[1,640,648,1,0],[0,653,661,1,0],[1,661,669,1,0],[0,674,682,1,0],[1,682,690,1,0],[0,695,703,1,0],[1,703,711,1,0],[0,716,724,1,0],[1,724,732,1,0],[0,737,745,1,0],[0,745,753,1,0],[0,753,761,1,0],[0,761,769,1,0],[0,769,777,1,0],[0,777,785,1,0],[0,785,793,1,0],[1,798,806,1,0],[0,813,821,1,0],[0,821,825,1,0],[0,830,838,1,0],[0,838,846,1,0],[0,846,850,1,0],[0,852,860,1,0],[0,860,864,1,0],[0,865,873,1,0],[1,875,883,1,0],[0,888,896,1,0],[1,900,908,1,0],[0,913,921,1,0],[0,923,931,1,0],[0,931,939,1,0],[0,939,943,1,0],[0,943,951,1,0],[0,951,959,1,0],[1,960,968,1,0],[1,968,976,1,0],[0,981,989,1,0],[1,992,1000,1,0],[0,1005,1013,1,0],[0,1013,1021,1,0],[0,1021,1029,1,0],[1,1030,1038,1,0],[1,1038,1046,1,0],[1,1046,1054,1,0],[1,1054,1062,1,0],[0,1067,1071,1,0],[0,1074,1082,1,0],[0,1082,1086,1,0],[1,1089,1097,1,0],[0,1102,1110,1,0],[0,1110,1114,1,0],[0,1115,1123,1,0],[0,1123,1127,1,0],[0,1127,1131,1,0],[0,1131,1135,1,0],[0,1135,1143,1,0],[0,1143,1151,1,0],[0,1151,1159,1,0],[0,1159,1163,1,0],[1,1168,1176,1,0],[1,1176,1184,1,0],[1,1188,1196,1,0],[0,1201,1209,1,0],[0,1209,1213,1,0],[0,1213,1221,1,0],[1,1222,1230,1,0],[1,1230,1238,1,0],[0,1245,1253,1,0],[0,1253,1257,1,0],[0,1257,1265,1,0],[1,1266,1274,1,0],[0,1279,1287,1,0],[1,1287,1295,1,0],[0,1300,1308,1,0],[0,1308,1316,1,0],[1,1319,1327,1,0],[0,1332,1340,1,0],[1,1340,1348,1,0],[0,1353,1361,1,0],[1,1361,1369,1,0],[0,1374,1382,1,0],[0,1382,1390,1,0],[0,1390,1398,1,0],[1,1401,1409,1,0],[1,1409,1417,1,0],[1,1417,1425,1,0],[0,1430,1438,1,0],[1,1438,1446,1,0],[0,1451,1459,1,0],[0,1459,1467,1,0],[0,1467,1475,1,0],[1,1475,1483,1,0],[1,1483,1491,1,0],[1,1491,1499,1,0],[0,1504,1512,1,0],[1,1512,1520,1,0],[0,1525,1533,1,0],[0,1533,1541,1,0],[0,1541,1545,1,0],[1,1546,1554,1,0],[1,1554,1562,1,0],[1,1562,1570,1,0],[0,1575,1583,1,0],[1,1583,1591,1,0],[1,1591,1599,1,0],[1,1599,1607,1,0],[0,1612,1620,1,0],[0,1620,1624,1,0],[1,1627,1635,1,0],[0,1640,1648,1,0],[0,1648,1656,1,0],[0,1656,1660,1,0],[0,1660,1668,1,0],[0,1668,1676,1,0],[0,1676,1680,1,0],[1,1694,1702,1,0],[0,1771,1779,1,0],[1,1779,1787,1,0],[1,1787,1795,1,0],[1,1795,1803,1,0],[0,1808,1816,1,0],[0,1816,1824,1,0],[1,1826,1834,1,0],[0,1839,1847,1,0],[0,1847,1855,1,0],[0,1855,1859,1,0],[0,1891,1899,1,0],[0,1906,1914,1,0],[0,1914,1922,1,0],[0,1922,1926,1,0],[1,1931,1939,1,0],[0,1944,1948,1,0],[0,1948,1956,1,0],[0,1956,1964,1,0],[0,1964,1972,1,0],[0,1972,1980,1,0],[0,1980,1984,1,0],[0,1984,1992,1,0],[0,1992,2000,1,0],[0,2000,2004,1,0],[0,2004,2012,1,0],[1,2014,2022,1,0],[0,2027,2035,1,0],[0,2037,2045,1,0],[1,2051,2059,1,0],[1,2059,2063,1,0],[1,2063,2071,1,0],[1,2071,2079,1,0],[0,2084,2092,1,0],[0,2093,2101,1,0],[0,2101,2109,1,0],[0,2109,2113,1,0],[0,2113,2121,1,0],[0,2121,2129,1,0],[0,2129,2137,1,0],[1,2143,2151,1,0],[1,2151,2159,1,0],[1,2168,2176,1,0],[1,2176,2184,1,0],[1,2184,2188,1,0],[0,2193,2201,1,0],[0,2202,2210,1,0],[0,2210,2218,1,0],[0,2218,2226,1,0],[0,2228,2236,1,0],[1,2239,2247,1,0],[0,2252,2260,1,0],[0,2263,2271,1,0],[0,2273,2281,1,0],[1,2283,2291,1,0],[0,2296,2300,1,0],[1,2304,2312,1,0],[1,2321,2329,1,0],[1,2329,2337,1,0],[1,2337,2341,1,0],[0,2346,2354,1,0],[1,2354,2362,1,0],[0,2369,2377,1,0],[0,2377,2385,1,0],[0,2385,2393,1,0],[0,2393,2401,1,0],[0,2401,2405,1,0],[1,2440,2448,1,0],[1,2448,2456,1,0],[1,2456,2464,1,0],[1,2464,2472,1,0],[1,2472,2476,1,0],[0,2481,2489,1,0],[0,2489,2497,1,0],[1,2507,2515,1,0],[1,2517,2525,1,0],[1,2525,2533,1,0],[1,2533,2541,1,0],[1,2541,2549,1,0],[0,2554,2562,1,0],[0,2562,2570,1,0],[0,2570,2578,1,0],[1,2579,2583,1,0],[0,2646,2654,1,0],[1,2654,2662,1,0],[1,2662,2670,1,0],[1,2703,2711,1,0],[1,2711,2719,1,0],[1,2778,2786,1,0],[1,2786,2794,1,0],[1,2794,2802,1,0],[0,2807,2815,1,0],[1,2817,2825,1,0],[1,2825,2833,1,0],[1,2836,2844,1,0],[0,2849,2857,1,0],[1,2857,2865,1,0],[1,2865,2873,1,0],[1,2881,2889,1,0],[1,2897,2905,1,0],[1,2905,2909,1,0],[0,2914,2922,1,0],[0,2922,2930,1,0],[1,2930,2938,1,0],[1,2943,2951,1,0],[1,2951,2959,1,0],[1,2978,2986,1,0],[0,3015,3023,1,0],[1,3023,3031,1,0],[0,3036,3044,1,0],[1,3044,3052,1,0],[1,3068,3076,1,0],[1,3081,3089,1,0],[0,3097,3105,1,0],[0,3105,3113,1,0],[0,3114,3122,1,0],[0,3122,3130,1,0],[1,3130,3138,1,0],[1,3138,3146,1,0],[1,3146,3154,1,0],[1,3154,3158,1,0],[0,3164,3172,1,0],[1,3172,3180,1,0],[0,3185,3193,1,0],[0,3193,3201,1,0],[0,3201,3209,1,0],[0,3209,3213,1,0],[0,3222,3230,1,0],[1,3230,3238,1,0],[1,3244,3252,1,0],[1,3254,3262,1,0],[1,3262,3270,1,0],[1,3270,3278,1,0],[0,3283,3291,1,0],[1,3301,3309,1,0],[1,3309,3317,1,0],[0,3324,3332,1,0],[0,3332,3340,1,0],[0,3340,3348,1,0],[0,3348,3356,1,0],[0,3356,3364,1,0],[0,3366,3374,1,0],[0,3378,3386,1,0],[0,3386,3394,1,0],[1,3399,3407,1,0],[1,3407,3415,1,0],[1,3415,3423,1,0],[1,3423,3431,1,0],[1,3431,3435,1,0],[1,3435,3443,1,0],[1,3443,3451,1,0],[1,3461,3469,1,0],[1,3469,3477,1,0],[0,3482,3490,1,0],[1,3490,3498,1,0],[1,3498,3506,1,0],[1,3506,3514,1,0],[1,3518,3526,1,0],[0,3537,3545,1,0],[1,3545,3553,1,0],[1,3554,3562,1,0],[1,3562,3570,1,0],[1,3576,3584,1,0],[1,3584,3592,1,0],[1,3599,3607,1,0],[1,3607,3615,1,0],[1,3615,3623,1,0],[1,3624,3632,1,0],[0,3637,3645,1,0],[0,3647,3651,1,0],[1,3653,3661,1,0],[1,3661,3669,1,0],[0,3674,3682,1,0],[0,3682,3686,1,0],[1,3692,3700,1,0],[1,3720,3728,1,0],[1,3728,3736,1,0],[1,3742,3750,1,0],[0,3755,3763,1,0],[0,3763,3771,1,0],[0,3771,3779,1,0],[0,3779,3787,1,0],[0,3787,3791,1,0],[1,3799,3807,1,0],[1,3807,3815,1,0]],[[0,0,8,1,0],[0,8,16,1,0],[0,20,28,1,0],[0,28,36,1,0],[0,38,46,1,0],[0,46,54,1,0],[0,54,62,1,0],[0,62,70,1,0],[0,73,81,1,0],[0,81,89,1,0],[0,89,97,1,0],[1,98,106,1,0],[1,107,115,1,0],[1,115,123,1,0],[1,123,131,1,0],[1,131,139,1,0],[1,139,147,1,0],[1,147,155,1,0],[1,160,168,1,0],[1,171,179,1,0],[1,179,187,1,0],[0,198,202,1,0],[0,202,206,1,0],[1,208,216,1,0],[1,216,224,1,0],[1,228,236,1,0],[1,237,245,1,0],[0,254,258,1,0],[0,258,262,1,0],[0,262,270,1,0],[0,270,278,1,0],[0,278,282,1,0],[0,289,293,1,0],[0,293,301,1,0],[0,303,307,1,0],[0,309,313,1,0],[1,315,323,1,0],[1,323,331,1,0],[0,336,344,1,0],[0,350,358,1,0],[1,360,368,1,0],[1,368,376,1,0],[0,381,389,1,0],[0,390,398,1,0],[0,401,409,1,0],[0,409,413,1,0],[0,413,421,1,0],[1,421,429,1,0],[0,434,442,1,0],[1,442,450,1,0],[0,455,463,1,0],[1,463,471,1,0],[0,476,484,1,0],[0,486,494,1,0],[1,494,502,1,0],[0,513,521,1,0],[1,521,529,1,0],[0,534,542,1,0],[1,542,550,1,0],[0,555,563,1,0],[1,563,571,1,0],[0,576,584,1,0],[1,584,592,1,0],[0,597,605,1,0],[1,605,613,1,0],[0,618,626,1,0],[1,626,634,1,0],[0,639,647,1,0],[1,647,655,1,0],[0,660,668,1,0],[1,668,676,1,0],[0,681,689,1,0],[1,689,697,1,0],[0,702,710,1,0],[1,710,718,1,0],[1,718,726,1,0],[0,731,739,1,0],[0,739,747,1,0],[0,751,759,1,0],[0,759,767,1,0],[0,767,775,1,0],[1,775,783,1,0],[0,788,792,1,0],[0,801,809,1,0],[0,809,817,1,0],[0,817,825,1,0],[0,825,833,1,0],[0,833,837,1,0],[1,860,868,1,0],[1,886,894,1,0],[0,899,907,1,0],[0,907,915,1,0],[0,915,919,1,0],[1,956,964,1,0],[1,967,975,1,0],[0,980,988,1,0],[0,988,996,1,0],[1,999,1007,1,0],[0,1012,1020,1,0],[1,1026,1034,1,0],[0,1039,1047,1,0],[0,1047,1055,1,0],[1,1062,1070,1,0],[1,1070,1078,1,0],[1,1078,1086,1,0],[0,1091,1099,1,0],[1,1099,1107,1,0],[0,1113,1121,1,0],[0,1122,1130,1,0],[0,1130,1138,1,0],[0,1138,1146,1,0],[0,1150,1158,1,0],[0,1159,1167,1,0],[1,1169,1177,1,0],[1,1177,1185,1,0],[1,1196,1204,1,0],[0,1209,1217,1,0],[1,1217,1225,1,0],[0,1230,1238,1,0],[0,1238,1246,1,0],[0,1246,1250,1,0],[1,1253,1261,1,0],[0,1266,1274,1,0],[1,1274,1282,1,0],[1,1282,1290,1,0],[0,1295,1303,1,0],[1,1303,1311,1,0],[0,1316,1324,1,0],[0,1324,1328,1,0],[1,1331,1339,1,0],[0,1344,1352,1,0],[1,1352,1360,1,0],[0,1365,1373,1,0],[0,1373,1381,1,0],[1,1385,1393,1,0],[0,1398,1406,1,0],[1,1406,1414,1,0],[0,1419,1427,1,0],[0,1427,1435,1,0],[0,1435,1443,1,0],[0,1444,1452,1,0],[0,1452,1460,1,0],[0,1460,1464,1,0],[0,1469,1477,1,0],[0,1487,1495,1,0],[1,1501,1509,1,0],[1,1509,1517,1,0],[1,1517,1525,1,0],[1,1525,1533,1,0],[0,1538,1546,1,0],[1,1550,1558,1,0],[1,1559,1567,1,0],[0,1572,1580,1,0],[1,1587,1595,1,0],[0,1600,1608,1,0],[1,1608,1616,1,0],[1,1616,1624,1,0],[0,1632,1640,1,0],[0,1641,1649,1,0],[1,1654,1662,1,0],[1,1662,1670,1,0],[0,1675,1683,1,0],[0,1688,1696,1,0],[0,1697,1705,1,0],[0,1705,1713,1,0],[0,1713,1721,1,0],[0,1721,1729,1,0],[0,1729,1733,1,0],[1,1736,1744,1,0],[0,1749,1757,1,0],[0,1757,1765,1,0],[0,1769,1777,1,0],[0,1777,1785,1,0],[0,1788,1796,1,0],[0,1800,1804,1,0],[0,1804,1812,1,0],[0,1812,1816,1,0],[1,1823,1831,1,0],[1,1831,1839,1,0],[1,1839,1847,1,0],[1,1847,1855,1,0],[1,1864,1868,1,0],[0,1873,1881,1,0],[1,1881,1889,1,0],[0,1894,1902,1,0],[0,1902,1910,1,0],[0,1910,1918,1,0],[0,1918,1926,1,0],[1,1928,1936,1,0],[0,1941,1949,1,0],[0,1952,1960,1,0],[0,1960,1968,1,0],[0,1968,1976,1,0],[0,1976,1980,1,0],[0,1980,1988,1,0],[0,1988,1996,1,0],[0,1996,2004,1,0],[0,2004,2012,1,0],[0,2012,2016,1,0],[0,2016,2024,1,0],[0,2024,2032,1,0],[1,2039,2047,1,0],[1,2047,2055,1,0],[1,2055,2063,1,0],[0,2068,2076,1,0],[1,2078,2082,1,0],[0,2087,2095,1,0],[1,2099,2107,1,0],[0,2112,2120,1,0],[0,2120,2128,1,0],[0,2128,2136,1,0],[0,2136,2144,1,0],[0,2144,2148,1,0],[1,2152,2160,1,0],[1,2160,2168,1,0],[0,2175,2183,1,0],[0,2187,2195,1,0],[0,2195,2203,1,0],[0,2208,2216,1,0],[1,2222,2230,1,0],[1,2230,2238,1,0],[0,2243,2251,1,0],[1,2254,2262,1,0],[1,2262,2270,1,0],[1,2270,2274,1,0],[0,2279,2287,1,0],[0,2287,2295,1,0],[0,2295,2303,1,0],[0,2304,2312,1,0],[0,2312,2320,1,0],[0,2322,2330,1,0],[0,2332,2340,1,0],[1,2341,2349,1,0],[1,2349,2357,1,0],[1,2357,2365,1,0],[0,2370,2378,1,0],[1,2378,2386,1,0],[0,2391,2399,1,0],[0,2400,2404,1,0],[0,2405,2413,1,0],[1,2417,2425,1,0],[1,2425,2433,1,0],[1,2433,2441,1,0],[1,2441,2449,1,0],[1,2449,2453,1,0],[0,2458,2466,1,0],[0,2466,2474,1,0],[0,2474,2482,1,0],[1,2483,2491,1,0],[0,2496,2504,1,0],[1,2504,2512,1,0],[1,2518,2526,1,0],[0,2531,2539,1,0],[0,2539,2547,1,0],[0,2547,2555,1,0],[0,2555,2559,1,0],[1,2565,2573,1,0],[1,2573,2581,1,0],[0,2586,2594,1,0],[1,2594,2602,1,0],[0,2607,2615,1,0],[1,2626,2634,1,0],[0,2639,2647,1,0],[0,2648,2656,1,0],[1,2658,2666,1,0],[1,2666,2674,1,0],[1,2676,2684,1,0],[1,2684,2692,1,0],[1,2692,2696,1,0],[0,2703,2711,1,0],[0,2711,2715,1,0],[0,2715,2719,1,0],[0,2725,2733,1,0],[0,2733,2737,1,0],[0,2737,2741,1,0],[0,2747,2755,1,0],[1,2763,2771,1,0],[0,2776,2784,1,0],[0,2788,2792,1,0],[1,2793,2801,1,0],[1,2801,2809,1,0],[0,2814,2818,1,0],[0,2819,2827,1,0],[0,2828,2832,1,0],[0,2833,2841,1,0],[0,2845,2849,1,0],[1,2850,2858,1,0],[1,2858,2866,1,0],[1,2866,2874,1,0],[1,2874,2882,1,0],[1,2882,2886,1,0],[1,2886,2894,1,0],[0,2899,2903,1,0],[1,2938,2946,1,0],[1,2946,2954,1,0],[1,2954,2962,1,0],[1,2962,2970,1,0],[1,2985,2989,1,0],[1,3034,3042,1,0],[1,3042,3050,1,0],[0,3055,3059,1,0],[1,3063,3071,1,0],[1,3086,3094,1,0],[1,3096,3104,1,0],[1,3125,3133,1,0],[1,3133,3141,1,0],[0,3148,3156,1,0],[0,3156,3164,1,0],[1,3165,3173,1,0],[1,3174,3182,1,0],[1,3182,3190,1,0],[0,3195,3199,1,0],[0,3203,3211,1,0],[0,3218,3226,1,0],[0,3226,3234,1,0],[0,3236,3240,1,0],[1,3243,3251,1,0],[1,3251,3259,1,0],[0,3264,3272,1,0],[0,3272,3280,1,0],[1,3331,3339,1,0],[1,3339,3347,1,0],[1,3347,3355,1,0],[1,3355,3363,1,0],[1,3363,3367,1,0],[1,3367,3375,1,0],[1,3375,3383,1,0],[1,3385,3393,1,0],[1,3393,3401,1,0],[1,3401,3409,1,0],[1,3409,3417,1,0],[1,3417,3425,1,0],[1,3425,3433,1,0],[1,3445,3453,1,0],[1,3453,3461,1,0],[1,3461,3469,1,0],[1,3469,3477,1,0],[0,3492,3500,1,0],[1,3503,3511,1,0],[0,3516,3520,1,0],[0,3520,3528,1,0],[1,3535,3543,1,0],[0,3548,3556,1,0],[1,3559,3567,1,0],[1,3567,3575,1,0],[1,3575,3583,1,0],[1,3591,3599,1,0],[1,3599,3607,1,0],[0,3612,3620,1,0],[0,3620,3624,1,0],[1,3626,3634,1,0],[0,3657,3665,1,0],[1,3665,3673,1,0],[1,3673,3681,1,0],[1,3689,3697,1,0],[1,3697,3705,1,0],[1,3705,3713,1,0],[1,3713,3721,1,0],[0,3726,3734,1,0],[0,3734,3742,1,0],[0,3742,3750,1,0],[0,3750,3758,1,0],[1,3759,3767,1,0],[1,3767,3775,1,0],[0,3780,3784,1,0],[0,3784,3788,1,0],[1,3790,3798,1,0],[0,3803,3807,1,0]],[[0,0,8,1,0],[0,8,16,1,0],[0,16,24,1,0],[0,24,32,1,0],[0,32,40,1,0],[0,40,48,1,0],[0,50,58,1,0],[0,59,67,1,0],[0,67,75,1,0],[0,75,83,1,0],[0,83,91,1,0],[1,98,106,1,0],[1,106,114,1,0],[1,117,125,1,0],[1,125,133,1,0],[1,133,141,1,0],[1,141,149,1,0],[1,149,157,1,0],[1,157,165,1,0],[1,173,181,1,0],[1,181,189,1,0],[1,189,197,1,0],[1,210,218,1,0],[1,227,235,1,0],[0,240,248,1,0],[0,248,252,1,0],[0,257,261,1,0],[0,268,272,1,0],[1,274,282,1,0],[0,287,291,1,0],[0,292,296,1,0],[0,297,301,1,0],[1,303,311,1,0],[0,322,326,1,0],[0,326,330,1,0],[0,330,338,1,0],[1,338,346,1,0],[0,351,359,1,0],[1,359,367,1,0],[0,372,380,1,0],[1,382,390,1,0],[0,395,403,1,0],[0,403,411,1,0],[1,416,424,1,0],[1,424,432,1,0],[0,442,450,1,0],[1,450,458,1,0],[1,458,466,1,0],[1,466,474,1,0],[0,479,487,1,0],[0,489,497,1,0],[0,501,509,1,0],[0,509,517,1,0],[1,517,525,1,0],[0,530,538,1,0],[1,540,548,1,0],[0,556,564,1,0],[1,564,572,1,0],[0,577,585,1,0],[0,585,593,1,0],[1,594,602,1,0],[0,607,615,1,0],[1,615,623,1,0],[0,628,636,1,0],[1,637,645,1,0],[0,650,658,1,0],[1,658,666,1,0],[1,668,676,1,0],[0,684,692,1,0],[0,692,700,1,0],[1,700,708,1,0],[0,713,721,1,0],[1,721,729,1,0],[0,734,742,1,0],[0,748,756,1,0],[0,756,764,1,0],[0,764,772,1,0],[0,772,776,1,0],[0,776,784,1,0],[0,784,792,1,0],[0,792,800,1,0],[0,800,808,1,0],[0,808,812,1,0],[1,834,842,1,0],[1,842,850,1,0],[0,855,863,1,0],[1,870,878,1,0],[0,883,891,1,0],[0,905,913,1,0],[0,913,921,1,0],[1,921,929,1,0],[0,934,938,1,0],[0,940,944,1,0],[0,944,948,1,0],[1,967,975,1,0],[1,982,990,1,0],[0,1003,1011,1,0],[1,1019,1027,1,0],[1,1027,1035,1,0],[0,1040,1048,1,0],[1,1048,1056,1,0],[0,1061,1069,1,0],[0,1079,1087,1,0],[0,1087,1091,1,0],[1,1101,1109,1,0],[1,1110,1118,1,0],[0,1123,1131,1,0],[1,1131,1139,1,0],[0,1144,1152,1,0],[1,1152,1160,1,0],[0,1165,1173,1,0],[0,1187,1195,1,0],[1,1213,1221,1,0],[1,1221,1229,1,0],[1,1236,1244,1,0],[0,1249,1257,1,0],[0,1257,1265,1,0],[1,1285,1293,1,0],[1,1293,1301,1,0],[0,1306,1314,1,0],[0,1314,1322,1,0],[1,1329,1337,1,0],[0,1342,1350,1,0],[0,1350,1358,1,0],[1,1361,1369,1,0],[1,1378,1386,1,0],[1,1392,1400,1,0],[0,1405,1413,1,0],[1,1413,1421,1,0],[0,1426,1434,1,0],[0,1434,1442,1,0],[1,1442,1450,1,0],[0,1455,1463,1,0],[1,1463,1471,1,0],[1,1471,1479,1,0],[0,1484,1492,1,0],[0,1492,1500,1,0],[1,1500,1508,1,0],[1,1508,1516,1,0],[0,1521,1529,1,0],[0,1529,1537,1,0],[1,1537,1545,1,0],[0,1550,1558,1,0],[1,1558,1566,1,0],[0,1571,1575,1,0],[0,1576,1584,1,0],[1,1584,1592,1,0],[1,1592,1600,1,0],[0,1606,1614,1,0],[0,1614,1622,1,0],[1,1622,1630,1,0],[0,1635,1643,1,0],[1,1643,1651,1,0],[0,1656,1664,1,0],[1,1666,1674,1,0],[1,1688,1696,1,0],[0,1713,1721,1,0],[0,1721,1729,1,0],[0,1729,1737,1,0],[1,1737,1745,1,0],[0,1752,1760,1,0],[0,1760,1764,1,0],[0,1764,1772,1,0],[0,1772,1776,1,0],[1,1783,1791,1,0],[0,1796,1804,1,0],[0,1805,1813,1,0],[0,1813,1821,1,0],[0,1821,1829,1,0],[1,1831,1839,1,0],[1,1839,1847,1,0],[0,1852,1860,1,0],[0,1860,1868,1,0],[0,1875,1883,1,0],[0,1883,1891,1,0],[0,1891,1899,1,0],[0,1899,1907,1,0],[0,1907,1911,1,0],[0,1912,1920,1,0],[0,1920,1928,1,0],[0,1928,1932,1,0],[1,1938,1946,1,0],[0,1951,1959,1,0],[0,1959,1967,1,0],[0,1967,1975,1,0],[0,1975,1983,1,0],[0,1983,1987,1,0],[0,1989,1997,1,0],[0,1997,2005,1,0],[1,2005,2013,1,0],[1,2013,2021,1,0],[0,2026,2034,1,0],[1,2037,2045,1,0],[0,2050,2058,1,0],[0,2058,2066,1,0],[0,2066,2074,1,0],[1,2076,2084,1,0],[0,2089,2097,1,0],[0,2097,2105,1,0],[0,2107,2115,1,0],[1,2117,2125,1,0],[1,2125,2133,1,0],[0,2138,2146,1,0],[0,2146,2154,1,0],[1,2158,2166,1,0],[1,2166,2174,1,0],[1,2174,2182,1,0],[1,2190,2198,1,0],[1,2198,2202,1,0],[0,2207,2215,1,0],[0,2215,2223,1,0],[0,2223,2231,1,0],[1,2231,2239,1,0],[1,2239,2247,1,0],[1,2247,2255,1,0],[0,2260,2268,1,0],[0,2268,2276,1,0],[0,2276,2280,1,0],[0,2280,2288,1,0],[0,2288,2296,1,0],[0,2296,2304,1,0],[0,2310,2318,1,0],[0,2318,2326,1,0],[0,2326,2334,1,0],[1,2335,2343,1,0],[1,2343,2347,1,0],[1,2358,2366,1,0],[0,2372,2380,1,0],[0,2380,2384,1,0],[0,2388,2396,1,0],[1,2401,2409,1,0],[0,2414,2422,1,0],[1,2424,2432,1,0],[1,2441,2449,1,0],[0,2460,2468,1,0],[1,2470,2478,1,0],[0,2483,2491,1,0],[1,2492,2500,1,0],[1,2500,2508,1,0],[1,2508,2516,1,0],[1,2516,2524,1,0],[1,2524,2528,1,0],[0,2533,2541,1,0],[0,2541,2549,1,0],[0,2549,2557,1,0],[0,2557,2565,1,0],[0,2565,2573,1,0],[0,2573,2577,1,0],[0,2577,2585,1,0],[0,2588,2596,1,0],[0,2596,2600,1,0],[0,2600,2608,1,0],[1,2613,2621,1,0],[0,2626,2634,1,0],[1,2635,2643,1,0],[1,2643,2651,1,0],[1,2651,2659,1,0],[0,2664,2672,1,0],[0,2676,2684,1,0],[1,2686,2694,1,0],[1,2694,2702,1,0],[1,2702,2706,1,0],[0,2711,2715,1,0],[0,2717,2725,1,0],[0,2725,2729,1,0],[0,2729,2733,1,0],[0,2735,2739,1,0],[0,2739,2743,1,0],[0,2743,2751,1,0],[0,2751,2759,1,0],[0,2759,2767,1,0],[0,2767,2771,1,0],[1,2786,2794,1,0],[1,2794,2802,1,0],[0,2844,2848,1,0],[1,2850,2858,1,0],[1,2858,2866,1,0],[1,2866,2874,1,0],[1,2874,2882,1,0],[1,2882,2890,1,0],[1,2890,2898,1,0],[1,2898,2902,1,0],[1,2902,2910,1,0],[0,2915,2919,1,0],[0,2919,2927,1,0],[1,2934,2942,1,0],[1,2947,2955,1,0],[0,2960,2968,1,0],[0,2973,2977,1,0],[0,2978,2986,1,0],[0,2986,2994,1,0],[1,2998,3006,1,0],[1,3006,3014,1,0],[1,3014,3022,1,0],[0,3027,3035,1,0],[0,3035,3039,1,0],[0,3039,3047,1,0],[1,3050,3058,1,0],[1,3058,3062,1,0],[1,3065,3073,1,0],[0,3078,3086,1,0],[0,3086,3094,1,0],[0,3094,3102,1,0],[0,3102,3110,1,0],[0,3111,3119,1,0],[0,3119,3123,1,0],[1,3126,3134,1,0],[1,3134,3142,1,0],[1,3142,3150,1,0],[1,3150,3158,1,0],[1,3158,3162,1,0],[1,3170,3178,1,0],[1,3178,3186,1,0],[1,3186,3194,1,0],[1,3194,3202,1,0],[1,3202,3206,1,0],[1,3206,3214,1,0],[1,3214,3222,1,0],[1,3222,3230,1,0],[1,3236,3244,1,0],[0,3251,3255,1,0],[1,3255,3263,1,0],[1,3269,3277,1,0],[1,3277,3285,1,0],[0,3290,3298,1,0],[0,3298,3306,1,0],[0,3306,3310,1,0],[0,3310,3318,1,0],[0,3318,3326,1,0],[1,3328,3336,1,0],[1,3336,3344,1,0],[1,3344,3352,1,0],[1,3352,3360,1,0],[1,3360,3368,1,0],[0,3373,3381,1,0],[0,3381,3389,1,0],[0,3389,3393,1,0],[1,3405,3413,1,0],[0,3418,3426,1,0],[0,3426,3434,1,0],[0,3434,3442,1,0],[1,3448,3456,1,0],[1,3456,3464,1,0],[1,3464,3472,1,0],[1,3500,3508,1,0],[1,3521,3529,1,0],[1,3529,3537,1,0],[1,3569,3577,1,0],[1,3590,3598,1,0],[1,3598,3606,1,0],[1,3612,3620,1,0],[1,3631,3639,1,0],[1,3639,3647,1,0],[0,3652,3660,1,0],[0,3661,3665,1,0],[1,3669,3677,1,0],[1,3689,3697,1,0],[1,3697,3705,1,0],[1,3705,3713,1,0],[1,3713,3721,1,0],[0,3726,3734,1,0],[1,3735,3743,1,0],[0,3748,3756,1,0],[1,3759,3767,1,0],[0,3772,3780,1,0],[0,3780,3788,1,0],[0,3788,3792,1,0],[1,3800,3808,1,0]],[[0,0,8,1,0],[0,8,16,1,0],[0,20,28,1,0],[0,28,36,1,0],[0,36,44,1,0],[0,57,65,1,0],[0,76,84,1,0],[1,98,106,1,0],[1,106,114,1,0],[1,118,126,1,0],[1,126,134,1,0],[1,134,142,1,0],[1,142,150,1,0],[1,155,163,1,0],[0,168,176,1,0],[1,176,184,1,0],[0,189,197,1,0],[1,197,205,1,0],[0,210,218,1,0],[1,218,226,1,0],[0,231,239,1,0],[0,239,247,1,0],[0,284,288,1,0],[0,288,292,1,0],[1,322,330,1,0],[1,330,338,1,0],[1,338,346,1,0],[0,363,367,1,0],[1,390,398,1,0],[1,398,406,1,0],[0,411,415,1,0],[0,415,419,1,0],[1,425,433,1,0],[0,440,444,1,0],[1,447,455,1,0],[1,455,463,1,0],[0,468,472,1,0],[1,474,482,1,0],[0,487,491,1,0],[1,493,501,1,0],[1,538,546,1,0],[1,558,566,1,0],[1,566,574,1,0],[1,598,606,1,0],[1,606,614,1,0],[1,633,641,1,0],[1,653,661,1,0],[1,661,669,1,0],[1,717,725,1,0],[1,753,761,1,0],[1,772,780,1,0],[1,785,793,1,0],[1,793,801,1,0],[1,801,809,1,0],[1,898,906,1,0],[1,931,939,1,0],[1,939,947,1,0],[1,947,955,1,0],[1,955,963,1,0],[1,963,971,1,0],[1,971,979,1,0],[1,990,998,1,0],[1,1012,1020,1,0],[1,1020,1028,1,0],[1,1164,1172,1,0],[1,1179,1187,1,0],[1,1215,1223,1,0],[1,1231,1239,1,0],[1,1308,1316,1,0],[1,1332,1340,1,0],[1,1340,1348,1,0],[1,1348,1356,1,0],[1,1372,1380,1,0],[1,1450,1458,1,0],[1,1485,1493,1,0],[1,1493,1501,1,0],[1,1501,1509,1,0],[1,1552,1560,1,0],[1,1560,1568,1,0],[1,1568,1576,1,0],[0,1581,1589,1,0],[0,1647,1655,1,0],[1,1657,1665,1,0],[1,1668,1676,1,0],[1,1676,1684,1,0],[1,1687,1695,1,0],[0,1700,1708,1,0],[1,1717,1725,1,0],[0,1742,1750,1,0],[1,1790,1798,1,0],[1,1847,1855,1,0],[1,1881,1889,1,0],[0,1894,1902,1,0],[1,1902,1910,1,0],[1,1941,1949,1,0],[1,1963,1971,1,0],[1,1971,1979,1,0],[1,1986,1994,1,0],[1,1994,2002,1,0],[1,2002,2010,1,0],[0,2015,2023,1,0],[0,2035,2043,1,0],[1,2050,2058,1,0],[1,2059,2067,1,0],[1,2069,2077,1,0],[0,2082,2090,1,0],[1,2095,2103,1,0],[1,2115,2123,1,0],[0,2130,2138,1,0],[1,2145,2153,1,0],[0,2158,2166,1,0],[1,2172,2180,1,0],[0,2185,2193,1,0],[1,2193,2201,1,0],[0,2206,2214,1,0],[0,2216,2224,1,0],[0,2224,2232,1,0],[0,2232,2240,1,0],[1,2258,2266,1,0],[1,2266,2274,1,0],[1,2275,2283,1,0],[1,2283,2291,1,0],[1,2291,2299,1,0],[1,2299,2307,1,0],[1,2307,2315,1,0],[0,2320,2328,1,0],[1,2330,2338,1,0],[1,2338,2346,1,0],[1,2349,2357,1,0],[1,2371,2379,1,0],[1,2379,2387,1,0],[1,2392,2400,1,0],[0,2405,2413,1,0],[1,2413,2421,1,0],[1,2421,2429,1,0],[1,2429,2437,1,0],[0,2446,2454,1,0],[1,2454,2462,1,0],[1,2462,2470,1,0],[0,2475,2483,1,0],[1,2483,2491,1,0],[1,2491,2499,1,0],[1,2499,2507,1,0],[1,2507,2515,1,0],[1,2515,2523,1,0],[1,2523,2531,1,0],[0,2543,2551,1,0],[1,2551,2559,1,0],[1,2559,2567,1,0],[1,2567,2575,1,0],[1,2575,2583,1,0],[1,2583,2591,1,0],[1,2591,2599,1,0],[1,2599,2607,1,0],[1,2607,2615,1,0],[1,2615,2623,1,0],[1,2723,2731,1,0],[1,2731,2739,1,0],[1,2739,2747,1,0],[1,2747,2755,1,0],[1,2755,2763,1,0],[1,2763,2771,1,0],[1,2773,2781,1,0],[1,2781,2789,1,0],[1,2797,2805,1,0],[1,2805,2813,1,0],[1,3153,3161,1,0],[1,3161,3169,1,0],[1,3221,3229,1,0],[1,3238,3246,1,0],[1,3246,3250,1,0],[1,3250,3258,1,0],[1,3258,3266,1,0],[1,3408,3416,1,0],[1,3416,3424,1,0],[1,3424,3432,1,0],[1,3432,3440,1,0],[1,3440,3444,1,0],[1,3497,3505,1,0],[1,3505,3513,1,0],[1,3513,3521,1,0],[1,3521,3529,1,0],[1,3529,3533,1,0],[1,3572,3580,1,0],[1,3580,3588,1,0],[1,3588,3596,1,0],[1,3596,3604,1,0],[1,3604,3608,1,0],[1,3619,3627,1,0],[1,3669,3677,1,0],[1,3677,3685,1,0],[1,3685,3693,1,0],[1,3693,3697,1,0],[1,3719,3727,1,0],[1,3727,3735,1,0],[1,3735,3743,1,0],[1,3743,3751,1,0],[1,3751,3755,1,0],[1,3785,3793,1,0],[1,3793,3801,1,0],[1,3801,3809,1,0],[1,3809,3817,1,0],[1,3817,3821,1,0],[1,3821,3829,1,0],[1,3829,3837,1,0],[1,3837,3845,1,0],[1,3845,3853,1,0],[1,3853,3857,1,0]],[[0,0,8,1,0],[0,14,22,1,0],[0,22,30,1,0],[0,32,40,1,0],[0,42,50,1,0],[0,61,69,1,0],[0,86,94,1,0],[1,98,106,1,0],[1,106,114,1,0],[1,114,122,1,0],[1,122,130,1,0],[1,132,140,1,0],[1,140,148,1,0],[1,148,156,1,0],[0,161,169,1,0],[1,171,179,1,0],[0,184,192,1,0],[1,192,200,1,0],[0,210,218,1,0],[1,218,226,1,0],[0,231,239,1,0],[1,239,247,1,0],[1,247,255,1,0],[0,265,269,1,0],[1,271,279,1,0],[0,284,288,1,0],[0,290,294,1,0],[1,296,304,1,0],[0,328,332,1,0],[0,335,343,1,0],[1,343,351,1,0],[1,351,359,1,0],[0,421,425,1,0],[0,439,443,1,0],[0,444,448,1,0],[1,452,460,1,0],[1,460,468,1,0],[0,473,477,1,0],[1,497,505,1,0],[1,505,513,1,0],[1,537,545,1,0],[1,545,553,1,0],[1,584,592,1,0],[1,592,600,1,0],[1,600,608,1,0],[1,611,619,1,0],[1,619,627,1,0],[1,691,699,1,0],[1,699,707,1,0],[1,733,741,1,0],[1,766,774,1,0],[1,780,788,1,0],[1,818,826,1,0],[1,885,893,1,0],[1,893,901,1,0],[1,901,909,1,0],[1,935,943,1,0],[1,943,951,1,0],[1,951,959,1,0],[1,959,967,1,0],[1,967,975,1,0],[1,975,983,1,0],[1,983,991,1,0],[1,991,999,1,0],[1,999,1007,1,0],[1,1018,1026,1,0],[1,1041,1049,1,0],[1,1119,1127,1,0],[1,1183,1191,1,0],[1,1191,1199,1,0],[1,1219,1227,1,0],[1,1249,1257,1,0],[1,1363,1371,1,0],[1,1385,1393,1,0],[1,1416,1424,1,0],[1,1441,1449,1,0],[1,1449,1457,1,0],[1,1495,1503,1,0],[1,1505,1513,1,0],[1,1564,1572,1,0],[1,1585,1593,1,0],[1,1593,1601,1,0],[1,1601,1609,1,0],[0,1621,1629,1,0],[0,1661,1669,1,0],[0,1731,1739,1,0],[1,1755,1763,1,0],[1,1771,1779,1,0],[1,1779,1787,1,0],[0,1793,1801,1,0],[1,1858,1866,1,0],[1,1880,1888,1,0],[1,1888,1896,1,0],[1,1896,1904,1,0],[0,1909,1917,1,0],[0,1917,1925,1,0],[1,1940,1948,1,0],[1,1976,1984,1,0],[1,1988,1996,1,0],[1,1996,2004,1,0],[0,2009,2017,1,0],[1,2017,2025,1,0],[1,2051,2059,1,0],[0,2065,2073,1,0],[1,2077,2085,1,0],[0,2090,2098,1,0],[1,2115,2123,1,0],[0,2128,2136,1,0],[0,2144,2152,1,0],[1,2152,2160,1,0],[1,2160,2168,1,0],[0,2174,2182,1,0],[1,2184,2192,1,0],[1,2192,2200,1,0],[1,2200,2208,1,0],[1,2208,2216,1,0],[0,2223,2231,1,0],[1,2231,2239,1,0],[0,2244,2252,1,0],[1,2252,2260,1,0],[0,2265,2273,1,0],[1,2292,2300,1,0],[1,2300,2308,1,0],[0,2334,2342,1,0],[1,2343,2351,1,0],[1,2373,2381,1,0],[1,2415,2423,1,0],[0,2430,2438,1,0],[0,2438,2446,1,0],[0,2460,2468,1,0],[1,2475,2483,1,0],[0,2489,2497,1,0],[1,2501,2509,1,0],[1,2509,2517,1,0],[1,2517,2525,1,0],[1,2574,2582,1,0],[1,2582,2590,1,0],[1,2590,2598,1,0],[1,2598,2606,1,0],[1,2606,2614,1,0],[1,2614,2622,1,0],[1,2628,2636,1,0],[1,2636,2644,1,0],[1,2644,2652,1,0],[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],[1,2700,2708,1,0],[1,2708,2716,1,0],[1,2716,2724,1,0],[1,2727,2735,1,0],[1,2735,2743,1,0],[1,2743,2751,1,0],[1,2751,2759,1,0],[1,2759,2767,1,0],[1,2775,2783,1,0],[1,2783,2791,1,0],[1,2791,2799,1,0],[1,2799,2807,1,0],[1,2807,2815,1,0],[1,2815,2823,1,0],[1,2823,2831,1,0],[1,2831,2839,1,0],[1,2846,2854,1,0],[1,2854,2862,1,0],[1,2929,2937,1,0],[1,2937,2945,1,0],[1,2956,2964,1,0],[1,3113,3121,1,0],[1,3121,3125,1,0],[1,3191,3199,1,0],[1,3199,3207,1,0],[1,3207,3215,1,0],[1,3230,3238,1,0],[1,3239,3243,1,0],[1,3440,3448,1,0],[1,3484,3492,1,0],[1,3492,3500,1,0],[1,3500,3508,1,0],[1,3508,3512,1,0],[1,3590,3598,1,0],[1,3656,3664,1,0],[1,3664,3672,1,0],[1,3672,3680,1,0],[1,3680,3684,1,0],[1,3704,3712,1,0],[1,3712,3720,1,0],[1,3720,3728,1,0],[1,3728,3736,1,0],[1,3736,3740,1,0],[1,3745,3753,1,0],[1,3753,3761,1,0],[1,3761,3769,1,0],[1,3769,3777,1,0],[1,3777,3781,1,0],[1,3801,3809,1,0],[1,3809,3817,1,0],[1,3817,3825,1,0],[1,3825,3833,1,0],[1,3833,3837,1,0],[1,3837,3845,1,0],[1,3845,3853,1,0],[1,3853,3861,1,0],[1,3861,3869,1,0],[1,3869,3873,1,0]],[[0,2,10,1,0],[0,10,18,1,0],[0,18,26,1,0],[0,26,34,1,0],[0,34,42,1,0],[0,66,74,1,0],[0,79,87,1,0],[1,97,105,1,0],[1,105,113,1,0],[1,117,125,1,0],[1,125,133,1,0],[1,133,141,1,0],[1,141,149,1,0],[1,151,159,1,0],[0,164,172,1,0],[1,172,180,1,0],[0,185,193,1,0],[1,193,201,1,0],[0,206,214,1,0],[1,214,222,1,0],[0,227,235,1,0],[1,237,245,1,0],[0,250,258,1,0],[1,258,266,1,0],[0,307,311,1,0],[0,330,334,1,0],[0,339,343,1,0],[0,344,348,1,0],[0,349,353,1,0],[0,355,359,1,0],[1,365,373,1,0],[1,373,381,1,0],[0,386,390,1,0],[0,390,394,1,0],[0,395,403,1,0],[1,410,418,1,0],[1,423,431,1,0],[1,431,439,1,0],[1,439,447,1,0],[1,462,470,1,0],[1,516,524,1,0],[1,524,532,1,0],[1,532,540,1,0],[1,540,548,1,0],[1,548,556,1,0],[0,577,585,1,0],[0,625,633,1,0],[1,636,644,1,0],[1,644,652,1,0],[1,652,660,1,0],[1,660,668,1,0],[1,715,723,1,0],[1,737,745,1,0],[1,763,771,1,0],[1,779,787,1,0],[0,792,800,1,0],[1,814,822,1,0],[1,871,879,1,0],[0,886,894,1,0],[0,922,930,1,0],[1,932,940,1,0],[1,954,962,1,0],[1,962,970,1,0],[1,970,978,1,0],[1,978,986,1,0],[1,986,994,1,0],[1,994,1002,1,0],[1,1002,1010,1,0],[1,1012,1020,1,0],[1,1020,1028,1,0],[1,1028,1036,1,0],[1,1036,1044,1,0],[1,1100,1108,1,0],[1,1110,1118,1,0],[1,1118,1126,1,0],[1,1170,1178,1,0],[1,1178,1186,1,0],[1,1236,1244,1,0],[1,1261,1269,1,0],[1,1328,1336,1,0],[1,1379,1387,1,0],[1,1395,1403,1,0],[1,1443,1451,1,0],[1,1476,1484,1,0],[1,1484,1492,1,0],[1,1503,1511,1,0],[1,1511,1519,1,0],[1,1519,1527,1,0],[0,1563,1571,1,0],[0,1591,1599,1,0],[1,1602,1610,1,0],[0,1615,1623,1,0],[0,1623,1631,1,0],[0,1639,1647,1,0],[0,1673,1681,1,0],[1,1693,1701,1,0],[0,1706,1714,1,0],[1,1766,1774,1,0],[1,1774,1782,1,0],[0,1789,1797,1,0],[0,1797,1805,1,0],[0,1805,1813,1,0],[0,1845,1853,1,0],[1,1859,1867,1,0],[1,1867,1875,1,0],[1,1876,1884,1,0],[1,1884,1892,1,0],[0,1897,1905,1,0],[0,1905,1913,1,0],[1,1971,1979,1,0],[1,1979,1987,1,0],[1,1987,1995,1,0],[0,2007,2015,1,0],[1,2016,2024,1,0],[1,2032,2040,1,0],[1,2059,2067,1,0],[1,2067,2075,1,0],[1,2080,2088,1,0],[1,2118,2126,1,0],[1,2166,2174,1,0],[1,2174,2182,1,0],[1,2182,2190,1,0],[1,2190,2198,1,0],[1,2242,2250,1,0],[1,2250,2258,1,0],[1,2258,2266,1,0],[1,2269,2277,1,0],[1,2286,2294,1,0],[1,2312,2320,1,0],[1,2320,2328,1,0],[1,2328,2336,1,0],[1,2426,2434,1,0],[1,2434,2442,1,0],[1,2525,2533,1,0],[1,2533,2541,1,0],[1,2552,2560,1,0],[1,2560,2568,1,0],[1,2570,2578,1,0],[1,2578,2586,1,0],[1,2586,2594,1,0],[1,2594,2602,1,0],[1,2617,2625,1,0],[1,2639,2647,1,0],[1,2647,2655,1,0],[1,2666,2674,1,0],[1,2674,2682,1,0],[1,2682,2690,1,0],[1,2690,2698,1,0],[1,2698,2706,1,0],[1,2706,2714,1,0],[1,2714,2722,1,0],[1,2722,2730,1,0],[1,2730,2738,1,0],[1,2738,2746,1,0],[1,2746,2754,1,0],[1,2754,2762,1,0],[1,2762,2770,1,0],[1,2770,2778,1,0],[1,2778,2786,1,0],[1,2786,2794,1,0],[1,2794,2802,1,0],[1,2817,2825,1,0],[1,2825,2833,1,0],[1,2833,2841,1,0],[1,2841,2849,1,0],[1,2849,2857,1,0],[1,2857,2865,1,0],[1,2865,2873,1,0],[1,3048,3056,1,0],[1,3379,3387,1,0],[1,3387,3395,1,0],[1,3395,3403,1,0],[1,3403,3407,1,0],[1,3447,3455,1,0],[1,3468,3476,1,0],[1,3476,3484,1,0],[1,3484,3492,1,0],[1,3492,3496,1,0],[1,3535,3543,1,0],[1,3543,3551,1,0],[1,3551,3559,1,0],[1,3559,3567,1,0],[1,3567,3571,1,0],[1,3671,3679,1,0],[1,3679,3687,1,0],[1,3687,3695,1,0],[1,3695,3703,1,0],[1,3703,3707,1,0],[1,3712,3720,1,0],[1,3720,3728,1,0],[1,3728,3736,1,0],[1,3736,3744,1,0],[1,3744,3748,1,0],[1,3748,3756,1,0],[1,3756,3764,1,0],[1,3764,3772,1,0],[1,3772,3780,1,0],[1,3780,3784,1,0],[1,3784,3792,1,0],[1,3792,3800,1,0],[1,3800,3808,1,0],[1,3808,3816,1,0],[1,3816,3820,1,0],[1,3856,3864,1,0],[1,3864,3872,1,0],[1,3872,3880,1,0],[1,3880,3888,1,0],[1,3888,3892,1,0]],[[0,0,8,1,0],[0,16,24,1,0],[0,24,32,1,0],[0,32,40,1,0],[0,53,61,1,0],[0,64,72,1,0],[1,98,106,1,0],[1,107,115,1,0],[1,115,123,1,0],[1,123,131,1,0],[1,131,139,1,0],[1,143,151,1,0],[0,156,164,1,0],[1,164,172,1,0],[0,177,185,1,0],[1,185,193,1,0],[0,198,206,1,0],[1,206,214,1,0],[0,219,227,1,0],[1,227,235,1,0],[0,240,248,1,0],[1,248,256,1,0],[0,261,269,1,0],[1,269,277,1,0],[1,277,285,1,0],[1,285,293,1,0],[1,293,301,1,0],[0,313,317,1,0],[0,332,336,1,0],[0,336,340,1,0],[0,340,344,1,0],[0,357,361,1,0],[0,362,366,1,0],[1,368,376,1,0],[0,383,387,1,0],[0,396,400,1,0],[1,403,411,1,0],[1,474,482,1,0],[1,482,490,1,0],[1,490,498,1,0],[1,536,544,1,0],[1,565,573,1,0],[1,583,591,1,0],[0,596,604,1,0],[1,604,612,1,0],[0,618,626,1,0],[1,626,634,1,0],[1,634,642,1,0],[1,642,650,1,0],[1,650,658,1,0],[1,722,730,1,0],[1,730,738,1,0],[1,756,764,1,0],[0,771,779,1,0],[1,802,810,1,0],[1,810,818,1,0],[1,827,835,1,0],[1,835,843,1,0],[1,846,854,1,0],[1,854,862,1,0],[1,862,870,1,0],[1,870,878,1,0],[1,878,886,1,0],[1,886,894,1,0],[1,894,902,1,0],[0,913,921,1,0],[1,921,929,1,0],[0,936,944,1,0],[0,955,963,1,0],[1,963,971,1,0],[1,971,979,1,0],[1,980,988,1,0],[1,996,1004,1,0],[1,1060,1068,1,0],[1,1099,1107,1,0],[1,1107,1115,1,0],[1,1115,1123,1,0],[1,1142,1150,1,0],[1,1190,1198,1,0],[1,1372,1380,1,0],[1,1380,1388,1,0],[1,1425,1433,1,0],[1,1450,1458,1,0],[1,1458,1466,1,0],[1,1482,1490,1,0],[1,1490,1498,1,0],[0,1567,1575,1,0],[0,1577,1585,1,0],[1,1592,1600,1,0],[1,1600,1608,1,0],[1,1620,1628,1,0],[1,1630,1638,1,0],[0,1643,1651,1,0],[0,1651,1659,1,0],[0,1659,1667,1,0],[0,1667,1675,1,0],[1,1681,1689,1,0],[0,1694,1702,1,0],[0,1708,1716,1,0],[1,1716,1724,1,0],[1,1726,1734,1,0],[1,1738,1746,1,0],[1,1757,1765,1,0],[0,1793,1801,1,0],[0,1819,1827,1,0],[0,1862,1870,1,0],[0,1880,1888,1,0],[0,1888,1896,1,0],[1,1920,1928,1,0],[1,1928,1936,1,0],[0,1941,1949,1,0],[1,1949,1957,1,0],[1,1998,2006,1,0],[1,2010,2018,1,0],[1,2019,2027,1,0],[1,2053,2061,1,0],[1,2061,2069,1,0],[1,2076,2084,1,0],[1,2122,2130,1,0],[1,2148,2156,1,0],[1,2195,2203,1,0],[1,2203,2211,1,0],[1,2247,2255,1,0],[1,2255,2263,1,0],[1,2263,2271,1,0],[1,2271,2279,1,0],[1,2279,2287,1,0],[1,2287,2295,1,0],[1,2374,2382,1,0],[1,2382,2390,1,0],[1,2390,2398,1,0],[1,2436,2444,1,0],[1,2470,2478,1,0],[1,2505,2513,1,0],[1,2544,2552,1,0],[1,2552,2560,1,0],[1,2560,2568,1,0],[1,2568,2576,1,0],[1,2613,2621,1,0],[1,2621,2629,1,0],[1,2629,2637,1,0],[1,2637,2645,1,0],[1,2645,2653,1,0],[1,2653,2661,1,0],[1,2661,2669,1,0],[1,2669,2677,1,0],[1,2677,2685,1,0],[1,2685,2693,1,0],[1,2693,2701,1,0],[1,2701,2709,1,0],[1,2709,2717,1,0],[1,2717,2725,1,0],[1,2870,2878,1,0],[1,2878,2886,1,0],[1,2886,2894,1,0],[1,2894,2902,1,0],[1,2902,2910,1,0],[1,2910,2918,1,0],[1,2918,2926,1,0],[1,2926,2934,1,0],[1,2934,2942,1,0],[1,2942,2950,1,0],[1,2950,2958,1,0],[1,2958,2966,1,0],[1,2966,2974,1,0],[1,2974,2982,1,0],[1,2982,2990,1,0],[1,3259,3267,1,0],[1,3436,3444,1,0],[1,3505,3513,1,0],[1,3513,3521,1,0],[1,3521,3529,1,0],[1,3529,3533,1,0],[1,3565,3573,1,0],[1,3573,3581,1,0],[1,3581,3589,1,0],[1,3589,3597,1,0],[1,3597,3601,1,0],[1,3601,3609,1,0],[1,3609,3617,1,0],[1,3617,3625,1,0],[1,3625,3633,1,0],[1,3633,3637,1,0],[1,3637,3645,1,0],[1,3645,3653,1,0],[1,3653,3661,1,0],[1,3661,3669,1,0],[1,3669,3673,1,0],[1,3694,3702,1,0],[1,3702,3710,1,0],[1,3710,3718,1,0],[1,3718,3726,1,0],[1,3726,3730,1,0],[1,3730,3738,1,0],[1,3738,3746,1,0],[1,3782,3790,1,0],[1,3790,3798,1,0],[1,3798,3802,1,0],[1,3818,3826,1,0],[1,3826,3834,1,0],[1,3834,3842,1,0],[1,3842,3850,1,0],[1,3850,3854,1,0],[1,3874,3882,1,0],[1,3882,3890,1,0],[1,3890,3898,1,0],[1,3898,3906,1,0],[1,3906,3910,1,0]],[[1,97,101,1,0],[1,102,106,1,0],[1,109,113,1,0],[1,113,117,1,0],[1,117,121,1,0],[1,121,125,1,0],[1,125,129,1,0],[1,129,133,1,0],[1,133,137,1,0],[1,137,141,1,0],[1,141,145,1,0],[1,145,149,1,0],[1,149,153,1,0],[1,153,157,1,0],[1,157,161,1,0],[1,161,165,1,0],[1,165,169,1,0],[1,169,173,1,0],[1,173,177,1,0],[1,177,181,1,0],[1,181,185,1,0],[1,185,189,1,0],[1,189,193,1,0],[1,193,197,1,0],[1,197,201,1,0],[1,201,205,1,0],[1,205,209,1,0],[1,209,213,1,0],[1,213,217,1,0],[1,217,221,1,0],[1,221,225,1,0],[1,225,229,1,0],[1,229,233,1,0],[1,233,237,1,0],[1,237,241,1,0],[1,241,245,1,0],[1,245,249,1,0],[1,249,253,1,0],[1,253,257,1,0],[1,257,261,1,0],[1,261,265,1,0],[1,265,269,1,0],[1,269,273,1,0],[1,273,277,1,0],[1,281,285,1,0],[1,293,297,1,0],[1,297,301,1,0],[1,301,305,1,0],[1,305,309,1,0],[1,313,317,1,0],[1,317,321,1,0],[1,321,325,1,0],[1,325,329,1,0],[1,329,333,1,0],[1,333,337,1,0],[1,337,341,1,0],[1,341,345,1,0],[1,345,349,1,0],[1,349,353,1,0],[1,353,357,1,0],[1,357,361,1,0],[1,361,365,1,0],[1,365,369,1,0],[1,377,381,1,0],[1,613,617,1,0],[1,640,644,1,0],[0,659,663,1,0],[0,677,681,1,0],[0,681,685,1,0],[0,699,703,1,0],[0,723,727,1,0],[0,742,746,1,0],[0,790,794,1,0],[0,796,800,1,0],[1,884,888,1,0],[1,967,971,1,0],[1,972,976,1,0],[1,1094,1098,1,0],[1,1102,1106,1,0],[1,1113,1117,1,0],[1,1200,1204,1,0],[1,1270,1274,1,0],[1,1532,1536,1,0],[1,1570,1574,1,0],[1,1598,1602,1,0],[1,1874,1878,1,0],[1,1916,1920,1,0],[1,1946,1950,1,0],[1,1961,1965,1,0],[1,2051,2055,1,0],[1,2084,2088,1,0],[1,2294,2298,1,0],[1,2298,2302,1,0],[1,2345,2349,1,0],[1,2365,2369,1,0],[1,2407,2411,1,0],[1,2411,2415,1,0],[1,2424,2428,1,0],[1,2428,2432,1,0],[1,2447,2451,1,0],[1,2451,2455,1,0],[1,2455,2459,1,0],[1,2491,2495,1,0],[1,2502,2506,1,0],[1,2506,2510,1,0],[1,2536,2540,1,0],[1,2557,2561,1,0],[1,2561,2565,1,0],[1,2565,2569,1,0],[1,2569,2573,1,0],[1,2573,2577,1,0],[1,2609,2613,1,0],[1,2613,2617,1,0],[1,2617,2621,1,0],[1,2625,2629,1,0],[1,2629,2633,1,0],[1,2645,2649,1,0],[1,2661,2665,1,0],[1,2687,2691,1,0],[1,2691,2695,1,0],[1,2695,2699,1,0],[1,2699,2703,1,0],[1,2706,2710,1,0],[1,2710,2714,1,0],[1,2774,2778,1,0],[1,2778,2782,1,0],[1,2786,2790,1,0],[1,2802,2806,1,0],[1,2806,2810,1,0],[1,2825,2829,1,0],[1,2833,2837,1,0],[1,2837,2841,1,0],[1,2889,2893,1,0],[1,2901,2905,1,0],[0,2920,2928,1,0],[0,2931,2939,1,0],[1,2974,2978,1,0],[1,2978,2982,1,0],[0,2987,2995,1,0],[1,2999,3007,1,0],[1,3007,3015,1,0],[1,3015,3023,1,0],[1,3085,3093,1,0],[1,3093,3097,1,0],[1,3110,3118,1,0],[1,3118,3126,1,0],[0,3148,3156,1,0],[0,3156,3164,1,0],[0,3238,3246,1,0],[1,3254,3262,1,0],[1,3262,3270,1,0],[1,3308,3312,1,0],[1,3312,3320,1,0],[1,3320,3328,1,0],[1,3328,3336,1,0],[1,3336,3344,1,0],[0,3349,3357,1,0],[0,3358,3366,1,0],[0,3366,3374,1,0],[0,3403,3411,1,0],[1,3413,3417,1,0],[0,3434,3442,1,0],[0,3442,3450,1,0],[0,3479,3487,1,0],[0,3487,3495,1,0],[0,3510,3518,1,0],[1,3520,3528,1,0],[1,3528,3536,1,0],[0,3543,3551,1,0],[0,3552,3560,1,0],[0,3560,3568,1,0],[1,3582,3590,1,0],[1,3590,3598,1,0],[1,3598,3602,1,0],[0,3607,3615,1,0],[0,3619,3627,1,0],[1,3638,3646,1,0],[1,3646,3654,1,0],[1,3654,3662,1,0],[1,3662,3670,1,0],[1,3670,3674,1,0],[0,3679,3687,1,0],[1,3693,3701,1,0],[0,3706,3714,1,0],[0,3715,3723,1,0],[1,3723,3731,1,0],[1,3731,3739,1,0],[1,3739,3747,1,0],[1,3747,3751,1,0],[0,3756,3764,1,0],[0,3764,3772,1,0],[1,3774,3782,1,0],[1,3782,3790,1,0],[1,3790,3798,1,0],[1,3798,3806,1,0],[1,3806,3810,1,0],[0,3815,3823,1,0],[0,3823,3831,1,0],[0,3831,3839,1,0],[1,3839,3847,1,0],[1,3847,3855,1,0],[1,3855,3863,1,0],[1,3863,3871,1,0],[1,3871,3875,1,0],[0,3880,3888,1,0],[0,3888,3896,1,0],[0,3897,3905,1,0],[0,3905,3913,1,0]],[[1,97,101,1,0],[1,101,105,1,0],[1,105,109,1,0],[1,109,113,1,0],[1,113,117,1,0],[1,117,121,1,0],[1,121,125,1,0],[1,125,129,1,0],[1,129,133,1,0],[1,133,137,1,0],[1,137,141,1,0],[1,141,145,1,0],[1,145,149,1,0],[1,149,153,1,0],[1,153,157,1,0],[1,157,161,1,0],[1,161,165,1,0],[1,165,169,1,0],[1,169,173,1,0],[1,173,177,1,0],[1,177,181,1,0],[1,181,185,1,0],[1,185,189,1,0],[1,189,193,1,0],[1,193,197,1,0],[1,197,201,1,0],[1,201,205,1,0],[1,205,209,1,0],[1,209,213,1,0],[1,213,217,1,0],[1,217,221,1,0],[1,221,225,1,0],[1,225,229,1,0],[1,229,233,1,0],[1,233,237,1,0],[1,237,241,1,0],[1,241,245,1,0],[1,245,249,1,0],[1,249,253,1,0],[1,253,257,1,0],[1,257,261,1,0],[1,261,265,1,0],[1,265,269,1,0],[1,269,273,1,0],[1,273,277,1,0],[1,277,281,1,0],[1,293,297,1,0],[1,297,301,1,0],[1,301,305,1,0],[1,305,309,1,0],[1,313,317,1,0],[1,317,321,1,0],[1,321,325,1,0],[1,325,329,1,0],[1,329,333,1,0],[1,333,337,1,0],[1,337,341,1,0],[1,341,345,1,0],[1,345,349,1,0],[1,349,353,1,0],[1,353,357,1,0],[1,361,365,1,0],[1,365,369,1,0],[1,369,373,1,0],[0,682,686,1,0],[0,688,692,1,0],[0,705,709,1,0],[0,709,713,1,0],[0,731,735,1,0],[0,746,750,1,0],[0,796,800,1,0],[0,802,806,1,0],[1,872,876,1,0],[1,908,912,1,0],[1,917,921,1,0],[1,979,983,1,0],[1,984,988,1,0],[1,1144,1148,1,0],[1,1151,1155,1,0],[1,1197,1201,1,0],[1,1282,1286,1,0],[1,1291,1295,1,0],[1,1540,1544,1,0],[1,1584,1588,1,0],[1,1606,1610,1,0],[1,1701,1705,1,0],[1,1948,1952,1,0],[1,1983,1987,1,0],[1,2107,2111,1,0],[1,2251,2255,1,0],[1,2338,2342,1,0],[1,2342,2346,1,0],[1,2387,2391,1,0],[1,2428,2432,1,0],[1,2458,2462,1,0],[1,2462,2466,1,0],[1,2502,2506,1,0],[1,2506,2510,1,0],[1,2520,2524,1,0],[1,2533,2537,1,0],[1,2537,2541,1,0],[1,2541,2545,1,0],[1,2555,2559,1,0],[1,2582,2586,1,0],[1,2586,2590,1,0],[1,2590,2594,1,0],[1,2594,2598,1,0],[1,2624,2628,1,0],[1,2632,2636,1,0],[1,2636,2640,1,0],[1,2640,2644,1,0],[1,2729,2733,1,0],[1,2733,2737,1,0],[1,2737,2741,1,0],[1,2741,2745,1,0],[1,2745,2749,1,0],[1,2749,2753,1,0],[1,2753,2757,1,0],[1,2757,2761,1,0],[1,2761,2765,1,0],[1,2765,2769,1,0],[1,2792,2796,1,0],[1,2796,2800,1,0],[1,2800,2804,1,0],[1,2804,2808,1,0],[1,2808,2812,1,0],[1,2812,2816,1,0],[1,2816,2820,1,0],[1,2842,2846,1,0],[1,2889,2893,1,0],[1,2908,2912,1,0],[1,2912,2916,1,0],[1,2916,2920,1,0],[1,2920,2924,1,0],[1,2939,2943,1,0],[1,2943,2947,1,0],[0,2983,2991,1,0],[0,3057,3065,1,0],[0,3100,3108,1,0],[0,3175,3183,1,0],[1,3183,3191,1,0],[1,3191,3199,1,0],[1,3199,3207,1,0],[0,3277,3285,1,0],[0,3348,3356,1,0],[0,3356,3364,1,0],[0,3364,3372,1,0],[1,3389,3397,1,0],[1,3397,3401,1,0],[0,3419,3427,1,0],[0,3433,3441,1,0],[0,3446,3454,1,0],[0,3477,3485,1,0],[0,3485,3493,1,0],[0,3508,3516,1,0],[0,3518,3526,1,0],[0,3542,3550,1,0],[0,3550,3558,1,0],[0,3576,3584,1,0],[0,3604,3612,1,0],[0,3612,3620,1,0],[0,3620,3628,1,0],[1,3635,3643,1,0],[1,3643,3651,1,0],[1,3651,3659,1,0],[1,3659,3667,1,0],[1,3667,3671,1,0],[0,3676,3684,1,0],[0,3701,3709,1,0],[0,3714,3722,1,0],[0,3729,3737,1,0],[1,3754,3762,1,0],[1,3762,3770,1,0],[1,3770,3778,1,0],[1,3778,3786,1,0],[1,3786,3790,1,0],[0,3795,3803,1,0],[0,3803,3811,1,0],[1,3834,3842,1,0],[1,3842,3850,1,0],[0,3855,3863,1,0],[1,3867,3875,1,0],[1,3875,3883,1,0],[1,3883,3887,1,0],[0,3892,3900,1,0],[0,3900,3908,1,0],[0,3908,3916,1,0],[0,3916,3924,1,0],[1,3924,3932,1,0],[1,3932,3940,1,0],[1,3940,3948,1,0],[1,3948,3956,1,0],[1,3990,3994,1,0],[1,4007,4015,1,0],[1,4045,4053,1,0],[1,4053,4061,1,0],[1,4061,4069,1,0],[1,4069,4073,1,0],[1,4113,4121,1,0],[1,4121,4129,1,0],[1,4129,4137,1,0],[1,4137,4145,1,0],[1,4161,4165,1,0],[1,4178,4186,1,0],[1,4186,4194,1,0],[1,4194,4202,1,0],[1,4202,4210,1,0],[1,4210,4214,1,0]],[[1,97,101,1,0],[1,101,105,1,0],[1,108,112,1,0],[1,112,116,1,0],[1,116,120,1,0],[1,120,124,1,0],[1,124,128,1,0],[1,128,132,1,0],[1,132,136,1,0],[1,136,140,1,0],[1,140,144,1,0],[1,144,148,1,0],[1,148,152,1,0],[1,152,156,1,0],[1,156,160,1,0],[1,160,164,1,0],[1,164,168,1,0],[1,168,172,1,0],[1,172,176,1,0],[1,176,180,1,0],[1,180,184,1,0],[1,184,188,1,0],[1,188,192,1,0],[1,192,196,1,0],[1,196,200,1,0],[1,200,204,1,0],[1,204,208,1,0],[1,208,212,1,0],[1,212,216,1,0],[1,216,220,1,0],[1,220,224,1,0],[1,224,228,1,0],[1,228,232,1,0],[1,232,236,1,0],[1,236,240,1,0],[1,240,244,1,0],[1,244,248,1,0],[1,248,252,1,0],[1,252,256,1,0],[1,256,260,1,0],[1,260,264,1,0],[1,264,268,1,0],[1,268,272,1,0],[1,272,276,1,0],[1,288,292,1,0],[1,292,296,1,0],[1,296,300,1,0],[1,300,304,1,0],[1,308,312,1,0],[1,312,316,1,0],[1,316,320,1,0],[1,320,324,1,0],[1,324,328,1,0],[1,328,332,1,0],[1,332,336,1,0],[1,336,340,1,0],[1,340,344,1,0],[1,344,348,1,0],[1,348,352,1,0],[1,352,356,1,0],[1,356,360,1,0],[1,360,364,1,0],[1,368,372,1,0],[1,376,380,1,0],[0,647,651,1,0],[0,665,669,1,0],[0,683,687,1,0],[0,688,692,1,0],[0,706,710,1,0],[0,715,719,1,0],[0,721,725,1,0],[0,725,729,1,0],[1,865,869,1,0],[1,901,905,1,0],[1,910,914,1,0],[1,972,976,1,0],[1,977,981,1,0],[1,1135,1139,1,0],[1,1144,1148,1,0],[1,1205,1209,1,0],[1,1215,1219,1,0],[1,1275,1279,1,0],[0,1408,1416,1,0],[0,1548,1556,1,0],[1,1567,1571,1,0],[1,1584,1588,1,0],[1,1871,1875,1,0],[1,1875,1879,1,0],[1,1941,1945,1,0],[1,1945,1949,1,0],[1,1951,1955,1,0],[0,1976,1984,1,0],[0,1992,2000,1,0],[0,2047,2055,1,0],[0,2106,2114,1,0],[1,2124,2128,1,0],[1,2210,2214,1,0],[1,2282,2286,1,0],[1,2299,2303,1,0],[1,2359,2363,1,0],[1,2380,2384,1,0],[1,2407,2411,1,0],[1,2429,2433,1,0],[1,2442,2446,1,0],[1,2452,2456,1,0],[1,2467,2471,1,0],[1,2471,2475,1,0],[1,2512,2516,1,0],[1,2529,2533,1,0],[1,2541,2545,1,0],[1,2559,2563,1,0],[1,2563,2567,1,0],[1,2567,2571,1,0],[1,2599,2603,1,0],[1,2603,2607,1,0],[1,2632,2636,1,0],[1,2636,2640,1,0],[1,2640,2644,1,0],[1,2644,2648,1,0],[1,2648,2652,1,0],[1,2652,2656,1,0],[1,2656,2660,1,0],[1,2660,2664,1,0],[1,2666,2670,1,0],[0,2675,2683,1,0],[1,2692,2696,1,0],[1,2696,2700,1,0],[1,2700,2704,1,0],[1,2710,2714,1,0],[1,2714,2718,1,0],[1,2718,2722,1,0],[0,2729,2737,1,0],[1,2737,2741,1,0],[0,2747,2755,1,0],[0,2755,2763,1,0],[0,2767,2775,1,0],[1,2779,2783,1,0],[1,2791,2795,1,0],[1,2805,2809,1,0],[1,2809,2813,1,0],[1,2813,2817,1,0],[1,2817,2821,1,0],[0,2826,2834,1,0],[0,2835,2843,1,0],[1,2849,2853,1,0],[1,2853,2857,1,0],[1,2866,2870,1,0],[0,2875,2883,1,0],[0,2891,2899,1,0],[0,2899,2907,1,0],[0,2933,2941,1,0],[0,2941,2949,1,0],[0,2977,2985,1,0],[1,2993,2997,1,0],[1,2997,3001,1,0],[0,3006,3014,1,0],[0,3014,3022,1,0],[0,3022,3030,1,0],[0,3066,3074,1,0],[0,3074,3082,1,0],[0,3082,3090,1,0],[0,3112,3120,1,0],[0,3125,3133,1,0],[0,3142,3150,1,0],[0,3193,3201,1,0],[0,3209,3217,1,0],[0,3284,3292,1,0],[1,3311,3319,1,0],[0,3324,3332,1,0],[1,3374,3382,1,0],[1,3382,3390,1,0],[1,3390,3398,1,0],[1,3398,3402,1,0],[1,3444,3452,1,0],[1,3452,3460,1,0],[1,3460,3468,1,0],[1,3468,3476,1,0],[1,3500,3504,1,0],[1,3601,3609,1,0],[1,3631,3639,1,0],[1,3639,3647,1,0],[1,3648,3656,1,0],[1,3656,3660,1,0],[1,3720,3728,1,0],[1,3728,3736,1,0],[1,3736,3744,1,0],[1,3744,3752,1,0],[1,3752,3756,1,0],[1,3765,3773,1,0],[1,3773,3781,1,0],[1,3781,3789,1,0],[1,3789,3797,1,0],[1,3797,3801,1,0],[1,3874,3882,1,0],[1,3882,3890,1,0],[1,3890,3898,1,0],[1,3898,3906,1,0],[1,3906,3910,1,0],[1,3958,3966,1,0],[1,3966,3974,1,0],[1,3974,3982,1,0],[1,3982,3990,1,0],[1,4015,4019,1,0],[1,4101,4109,1,0],[1,4109,4117,1,0],[1,4117,4125,1,0],[1,4125,4133,1,0],[1,4133,4137,1,0]],[[1,97,101,1,0],[1,102,106,1,0],[1,106,110,1,0],[1,110,114,1,0],[1,114,118,1,0],[1,118,122,1,0],[1,122,126,1,0],[1,126,130,1,0],[1,130,134,1,0],[1,134,138,1,0],[1,138,142,1,0],[1,142,146,1,0],[1,146,150,1,0],[1,150,154,1,0],[1,154,158,1,0],[1,158,162,1,0],[1,162,166,1,0],[1,166,170,1,0],[1,170,174,1,0],[1,174,178,1,0],[1,178,182,1,0],[1,182,186,1,0],[1,186,190,1,0],[1,190,194,1,0],[1,194,198,1,0],[1,198,202,1,0],[1,202,206,1,0],[1,206,210,1,0],[1,210,214,1,0],[1,214,218,1,0],[1,218,222,1,0],[1,222,226,1,0],[1,226,230,1,0],[1,230,234,1,0],[1,234,238,1,0],[1,238,242,1,0],[1,242,246,1,0],[1,246,250,1,0],[1,250,254,1,0],[1,254,258,1,0],[1,258,262,1,0],[1,262,266,1,0],[1,266,270,1,0],[1,270,274,1,0],[1,274,278,1,0],[1,282,286,1,0],[1,286,290,1,0],[1,298,302,1,0],[1,302,306,1,0],[1,306,310,1,0],[1,310,314,1,0],[1,318,322,1,0],[1,322,326,1,0],[1,326,330,1,0],[1,330,334,1,0],[1,334,338,1,0],[1,338,342,1,0],[1,342,346,1,0],[1,346,350,1,0],[1,350,354,1,0],[1,354,358,1,0],[1,358,362,1,0],[1,366,370,1,0],[1,374,378,1,0],[0,655,659,1,0],[0,663,667,1,0],[0,685,689,1,0],[0,691,695,1,0],[0,704,708,1,0],[0,715,719,1,0],[0,723,727,1,0],[0,731,735,1,0],[1,875,879,1,0],[1,911,915,1,0],[1,920,924,1,0],[1,982,986,1,0],[1,987,991,1,0],[1,1044,1048,1,0],[1,1147,1151,1,0],[1,1248,1252,1,0],[1,1285,1289,1,0],[0,1422,1430,1,0],[1,1577,1581,1,0],[1,1590,1594,1,0],[1,1621,1625,1,0],[1,1634,1638,1,0],[0,1743,1751,1,0],[1,1881,1885,1,0],[1,1964,1968,1,0],[1,1981,1985,1,0],[0,1990,1998,1,0],[1,1999,2003,1,0],[0,2047,2055,1,0],[0,2074,2082,1,0],[1,2110,2114,1,0],[1,2331,2335,1,0],[1,2341,2345,1,0],[1,2402,2406,1,0],[1,2407,2411,1,0],[1,2448,2452,1,0],[1,2455,2459,1,0],[1,2501,2505,1,0],[1,2528,2532,1,0],[1,2532,2536,1,0],[1,2536,2540,1,0],[1,2540,2544,1,0],[1,2566,2570,1,0],[1,2570,2574,1,0],[1,2576,2580,1,0],[1,2585,2589,1,0],[1,2589,2593,1,0],[1,2593,2597,1,0],[1,2597,2601,1,0],[1,2601,2605,1,0],[1,2643,2647,1,0],[1,2657,2661,1,0],[1,2661,2665,1,0],[1,2676,2680,1,0],[1,2680,2684,1,0],[1,2686,2690,1,0],[1,2690,2694,1,0],[0,2699,2707,1,0],[1,2707,2711,1,0],[1,2711,2715,1,0],[1,2715,2719,1,0],[1,2719,2723,1,0],[1,2735,2739,1,0],[1,2752,2756,1,0],[0,2761,2769,1,0],[0,2771,2779,1,0],[1,2785,2789,1,0],[0,2794,2802,1,0],[1,2839,2843,1,0],[1,2843,2847,1,0],[1,2847,2851,1,0],[1,2851,2855,1,0],[1,2855,2859,1,0],[1,2859,2863,1,0],[0,2868,2876,1,0],[1,2876,2880,1,0],[0,2885,2893,1,0],[0,2895,2903,1,0],[0,2905,2913,1,0],[1,2939,2943,1,0],[0,2948,2956,1,0],[1,2956,2960,1,0],[0,2965,2973,1,0],[0,2975,2983,1,0],[0,2983,2991,1,0],[1,3004,3008,1,0],[1,3012,3016,1,0],[1,3016,3020,1,0],[1,3025,3029,1,0],[0,3035,3043,1,0],[0,3043,3051,1,0],[0,3057,3065,1,0],[0,3065,3073,1,0],[0,3086,3094,1,0],[0,3096,3104,1,0],[0,3104,3112,1,0],[0,3152,3160,1,0],[0,3164,3172,1,0],[0,3172,3180,1,0],[0,3196,3204,1,0],[0,3207,3215,1,0],[0,3223,3231,1,0],[1,3273,3281,1,0],[0,3298,3306,1,0],[0,3319,3327,1,0],[1,3503,3511,1,0],[1,3560,3568,1,0],[1,3568,3576,1,0],[1,3576,3580,1,0],[1,3658,3666,1,0],[1,3666,3674,1,0],[1,3694,3702,1,0],[1,3702,3710,1,0],[1,3710,3714,1,0],[1,3795,3803,1,0],[1,3803,3811,1,0],[1,3811,3819,1,0],[1,3819,3827,1,0],[1,3827,3831,1,0],[1,3833,3841,1,0],[1,3841,3849,1,0],[1,3849,3857,1,0],[1,3857,3865,1,0],[1,3865,3869,1,0],[1,3873,3881,1,0],[1,3881,3889,1,0],[1,3889,3897,1,0],[1,3919,3927,1,0],[1,3965,3969,1,0],[1,3973,3981,1,0],[1,4059,4067,1,0],[1,4102,4110,1,0],[1,4130,4138,1,0],[1,4138,4142,1,0],[1,4142,4150,1,0],[1,4150,4158,1,0],[1,4158,4166,1,0],[1,4166,4174,1,0],[1,4174,4178,1,0],[1,4178,4186,1,0],[1,4186,4194,1,0],[1,4194,4202,1,0],[1,4202,4210,1,0],[1,4210,4214,1,0]],[[1,97,105,1,0],[0,333,337,1,0],[0,337,341,1,0],[0,358,362,1,0],[0,367,371,1,0],[0,385,389,1,0],[0,393,397,1,0],[0,397,401,1,0],[0,404,408,1,0],[1,469,477,1,0],[1,477,485,1,0],[1,487,495,1,0],[1,495,499,1,0],[1,514,522,1,0],[1,534,542,1,0],[1,542,550,1,0],[1,615,623,1,0],[1,623,627,1,0],[1,657,665,1,0],[1,680,688,1,0],[1,741,749,1,0],[1,775,783,1,0],[1,783,787,1,0],[1,1154,1162,1,0],[1,1251,1259,1,0],[1,1259,1267,1,0],[1,1277,1285,1,0],[1,1285,1289,1,0],[1,1337,1345,1,0],[1,1351,1359,1,0],[1,1789,1797,1,0],[1,1797,1805,1,0],[1,1805,1809,1,0],[1,1837,1845,1,0],[1,1845,1853,1,0],[1,1862,1870,1,0],[1,1870,1878,1,0],[1,1878,1882,1,0],[1,1885,1893,1,0],[1,1908,1916,1,0],[1,1916,1924,1,0],[1,1924,1932,1,0],[1,1932,1936,1,0],[1,1936,1944,1,0],[1,1944,1952,1,0],[1,1980,1988,1,0],[1,1988,1996,1,0],[1,1996,2000,1,0],[0,2194,2202,1,0],[0,2257,2265,1,0],[0,2289,2297,1,0],[0,2312,2320,1,0],[0,2320,2328,1,0],[0,2371,2379,1,0],[0,2398,2406,1,0],[0,2418,2426,1,0],[0,2426,2434,1,0],[0,2434,2442,1,0],[0,2450,2458,1,0],[0,2485,2493,1,0],[0,2529,2537,1,0],[0,2559,2567,1,0],[0,2658,2666,1,0],[0,2681,2689,1,0],[0,2691,2699,1,0],[0,2708,2716,1,0],[0,2739,2747,1,0],[0,2844,2852,1,0],[0,2855,2863,1,0],[0,2864,2872,1,0],[0,2898,2906,1,0],[0,2915,2923,1,0],[0,2937,2945,1,0],[0,3007,3015,1,0],[0,3048,3056,1,0],[0,3063,3071,1,0],[0,3079,3087,1,0],[0,3108,3116,1,0],[0,3120,3128,1,0],[0,3133,3141,1,0]],[[1,309,317,1,0],[0,327,331,1,0],[0,331,335,1,0],[0,348,352,1,0],[0,365,369,1,0],[0,381,385,1,0],[0,385,389,1,0],[0,392,396,1,0],[0,396,400,1,0],[1,421,429,1,0],[1,429,437,1,0],[1,438,446,1,0],[1,446,450,1,0],[1,792,800,1,0],[1,886,894,1,0],[1,902,910,1,0],[1,942,950,1,0],[1,952,956,1,0],[1,1827,1835,1,0],[1,1889,1897,1,0],[1,1897,1905,1,0],[1,1922,1930,1,0],[1,1930,1934,1,0],[1,1958,1966,1,0],[1,1966,1974,1,0],[1,2003,2011,1,0],[1,2064,2072,1,0],[1,2072,2076,1,0],[1,2161,2169,1,0],[1,2182,2190,1,0],[1,2190,2198,1,0],[0,2227,2235,1,0],[0,2244,2252,1,0],[0,2261,2269,1,0],[1,2276,2284,1,0],[0,2289,2297,1,0],[0,2298,2306,1,0],[0,2306,2314,1,0],[0,2322,2330,1,0],[0,2344,2352,1,0],[1,2364,2368,1,0],[0,2404,2412,1,0],[0,2412,2420,1,0],[0,2452,2460,1,0],[0,2465,2473,1,0],[0,2535,2543,1,0],[0,2543,2551,1,0],[0,2561,2569,1,0],[0,2582,2590,1,0],[1,2602,2610,1,0],[0,2634,2642,1,0],[1,2643,2651,1,0],[0,2668,2676,1,0],[0,2681,2689,1,0],[0,2701,2709,1,0],[1,2763,2771,1,0],[1,2771,2779,1,0],[1,2779,2783,1,0],[1,2800,2808,1,0],[1,2808,2816,1,0],[0,2868,2876,1,0],[0,2924,2932,1,0],[0,2944,2952,1,0],[0,2973,2981,1,0],[1,3009,3017,1,0],[0,3057,3065,1,0],[0,3065,3073,1,0],[0,3073,3081,1,0],[0,3090,3098,1,0],[0,3110,3118,1,0],[0,3168,3176,1,0],[1,3188,3196,1,0],[0,3201,3209,1,0],[1,3262,3266,1,0],[0,3302,3310,1,0],[1,3401,3409,1,0],[1,3409,3417,1,0],[1,3417,3425,1,0],[1,3425,3433,1,0],[1,3433,3437,1,0]],[[1,97,105,1,0],[1,268,276,1,0],[0,337,341,1,0],[0,345,349,1,0],[0,353,357,1,0],[0,366,370,1,0],[1,373,381,1,0],[1,381,389,1,0],[0,399,403,1,0],[0,407,411,1,0],[0,413,417,1,0],[0,417,421,1,0],[1,443,447,1,0],[1,475,483,1,0],[1,483,491,1,0],[1,559,567,1,0],[1,595,603,1,0],[1,603,607,1,0],[1,744,752,1,0],[1,989,997,1,0],[1,999,1007,1,0],[1,1007,1015,1,0],[1,1015,1019,1,0],[1,1146,1154,1,0],[1,1154,1162,1,0],[1,1637,1645,1,0],[1,1645,1653,1,0],[1,1653,1657,1,0],[1,1751,1759,1,0],[1,1777,1785,1,0],[1,1817,1825,1,0],[1,1825,1833,1,0],[1,1849,1853,1,0],[1,1957,1965,1,0],[1,1965,1973,1,0],[1,2024,2032,1,0],[0,2050,2058,1,0],[0,2073,2081,1,0],[1,2083,2091,1,0],[1,2091,2095,1,0],[1,2115,2123,1,0],[1,2123,2131,1,0],[1,2131,2139,1,0],[0,2152,2160,1,0],[0,2173,2181,1,0],[0,2188,2196,1,0],[0,2199,2207,1,0],[0,2207,2215,1,0],[0,2215,2223,1,0],[0,2249,2257,1,0],[0,2274,2282,1,0],[0,2289,2297,1,0],[0,2312,2320,1,0],[0,2320,2328,1,0],[0,2332,2340,1,0],[0,2340,2348,1,0],[0,2348,2356,1,0],[0,2364,2372,1,0],[0,2375,2383,1,0],[0,2398,2406,1,0],[0,2430,2438,1,0],[0,2438,2446,1,0],[1,2446,2454,1,0],[1,2454,2458,1,0],[0,2472,2480,1,0],[0,2497,2505,1,0],[0,2512,2520,1,0],[1,2537,2545,1,0],[0,2567,2575,1,0],[0,2623,2631,1,0],[0,2631,2639,1,0],[0,2667,2675,1,0],[0,2675,2683,1,0],[0,2689,2697,1,0],[1,2697,2705,1,0],[1,2705,2713,1,0],[0,2736,2744,1,0],[1,2794,2802,1,0],[1,2802,2806,1,0],[0,2844,2852,1,0]],[[0,327,331,1,0],[0,343,347,1,0],[0,351,355,1,0],[0,356,360,1,0],[0,388,392,1,0],[0,397,401,1,0],[0,407,411,1,0],[0,411,415,1,0],[1,421,429,1,0],[1,429,437,1,0],[1,437,445,1,0],[1,464,472,1,0],[1,472,476,1,0],[1,1104,1112,1,0],[1,1294,1302,1,0],[1,1357,1365,1,0],[1,1365,1373,1,0],[1,1411,1415,1,0],[1,1577,1585,1,0],[1,1585,1593,1,0],[1,1833,1841,1,0],[1,1877,1885,1,0],[1,1885,1889,1,0],[1,1935,1943,1,0],[1,1943,1951,1,0],[1,1970,1978,1,0],[1,1978,1986,1,0],[1,1986,1990,1,0],[1,1997,2005,1,0],[1,2005,2013,1,0],[1,2013,2021,1,0],[1,2054,2062,1,0],[1,2062,2066,1,0],[0,2086,2094,1,0],[0,2127,2135,1,0],[1,2137,2145,1,0],[0,2164,2172,1,0],[0,2191,2199,1,0],[0,2219,2227,1,0],[0,2247,2255,1,0],[0,2255,2263,1,0],[0,2267,2275,1,0],[0,2275,2283,1,0],[0,2290,2298,1,0],[0,2298,2306,1,0],[0,2306,2314,1,0],[1,2317,2325,1,0],[0,2334,2342,1,0],[1,2349,2357,1,0],[0,2379,2387,1,0],[0,2387,2395,1,0],[0,2395,2403,1,0],[0,2403,2411,1,0],[0,2411,2419,1,0],[0,2427,2435,1,0],[0,2437,2445,1,0],[0,2445,2453,1,0],[0,2464,2472,1,0],[1,2472,2480,1,0],[1,2481,2485,1,0],[0,2498,2506,1,0],[0,2573,2581,1,0],[0,2581,2589,1,0],[0,2589,2597,1,0],[0,2625,2633,1,0],[0,2633,2641,1,0],[0,2716,2724,1,0],[0,2746,2754,1,0],[1,2761,2769,1,0],[0,2836,2844,1,0],[0,2881,2889,1,0],[1,3267,3275,1,0],[1,3275,3283,1,0],[1,3283,3291,1,0],[1,3293,3297,1,0],[1,3438,3446,1,0],[1,3447,3455,1,0],[1,3455,3463,1,0],[1,3463,3471,1,0],[1,3471,3475,1,0]],[[0,0,8,1,0],[0,14,22,1,0],[0,22,30,1,0],[0,35,43,1,0],[0,43,51,1,0],[0,52,60,1,0],[0,60,68,1,0],[0,68,76,1,0],[0,89,97,1,0],[0,97,105,1,0],[0,118,126,1,0],[0,126,134,1,0],[0,156,164,1,0],[0,175,183,1,0],[0,199,207,1,0],[0,244,252,1,0],[0,304,312,1,0],[1,312,320,1,0],[0,325,333,1,0],[1,336,344,1,0],[0,360,364,1,0],[1,368,376,1,0],[0,414,418,1,0],[0,418,422,1,0],[0,426,430,1,0],[0,440,444,1,0],[0,446,450,1,0],[0,462,466,1,0],[1,499,507,1,0],[1,508,512,1,0],[0,524,528,1,0],[1,599,607,1,0],[1,607,615,1,0],[1,615,623,1,0],[1,701,709,1,0],[1,709,713,1,0],[1,727,735,1,0],[1,748,756,1,0],[1,756,764,1,0],[1,988,996,1,0],[1,996,1000,1,0],[1,1039,1047,1,0],[1,1056,1064,1,0],[1,1189,1197,1,0],[1,1197,1205,1,0],[1,1205,1209,1,0],[1,1289,1297,1,0],[1,1310,1318,1,0],[1,1327,1335,1,0],[1,1335,1343,1,0],[1,1354,1358,1,0],[1,1358,1366,1,0],[1,1522,1530,1,0],[1,1543,1551,1,0],[1,1551,1559,1,0],[1,1559,1563,1,0],[0,1742,1750,1,0],[1,1832,1840,1,0],[1,1893,1901,1,0],[1,1901,1909,1,0],[0,1957,1965,1,0],[0,1994,2002,1,0],[0,2004,2012,1,0],[0,2013,2021,1,0],[0,2068,2076,1,0],[0,2089,2097,1,0],[0,2116,2124,1,0],[0,2124,2132,1,0],[0,2185,2193,1,0],[1,2250,2258,1,0],[1,2258,2262,1,0],[0,2273,2281,1,0],[0,2339,2347,1,0],[1,2374,2382,1,0],[0,2405,2413,1,0],[1,2413,2421,1,0],[1,2421,2429,1,0],[1,2429,2437,1,0],[1,2437,2441,1,0],[0,2617,2625,1,0]],[[0,0,8,1,0],[0,8,16,1,0],[0,19,27,1,0],[0,30,38,1,0],[0,38,46,1,0],[0,46,54,1,0],[0,54,62,1,0],[0,75,83,1,0],[0,83,91,1,0],[0,91,99,1,0],[0,99,107,1,0],[1,120,128,1,0],[0,133,141,1,0],[0,141,149,1,0],[0,158,166,1,0],[0,169,177,1,0],[0,177,185,1,0],[1,278,286,1,0],[0,311,319,1,0],[0,330,338,1,0],[0,358,362,1,0],[0,408,412,1,0],[0,412,416,1,0],[0,416,420,1,0],[0,423,427,1,0],[0,429,433,1,0],[0,438,442,1,0],[1,451,459,1,0],[1,459,467,1,0],[1,467,471,1,0],[1,495,503,1,0],[0,522,526,1,0],[1,605,613,1,0],[1,639,647,1,0],[1,647,655,1,0],[1,655,659,1,0],[1,709,717,1,0],[1,723,731,1,0],[1,731,739,1,0],[1,845,853,1,0],[1,853,857,1,0],[1,1007,1015,1,0],[1,1161,1169,1,0],[1,1169,1177,1,0],[1,1193,1201,1,0],[1,1212,1216,1,0],[1,1462,1470,1,0],[1,1539,1547,1,0],[1,1547,1555,1,0],[1,1650,1658,1,0],[1,1658,1662,1,0],[1,1686,1694,1,0],[1,1694,1702,1,0],[1,1837,1845,1,0],[1,1845,1853,1,0],[1,1876,1880,1,0],[1,1954,1962,1,0],[1,1962,1970,1,0],[0,1999,2007,1,0],[0,2009,2017,1,0],[1,2024,2032,1,0],[0,2041,2049,1,0],[0,2049,2057,1,0],[0,2069,2077,1,0],[0,2100,2108,1,0],[0,2131,2139,1,0],[0,2171,2179,1,0],[0,2179,2187,1,0],[0,2275,2283,1,0],[0,2296,2304,1,0],[1,2349,2357,1,0],[1,2357,2361,1,0],[0,2416,2424,1,0],[1,2516,2524,1,0],[1,2524,2532,1,0],[1,2532,2540,1,0],[1,2540,2548,1,0],[0,2554,2562,1,0],[1,2564,2568,1,0],[0,2619,2627,1,0]],[[0,8,16,1,0],[0,19,27,1,0],[0,28,36,1,0],[0,36,44,1,0],[0,47,55,1,0],[0,55,63,1,0],[0,63,71,1,0],[0,71,79,1,0],[0,79,87,1,0],[0,100,108,1,0],[0,121,129,1,0],[0,143,151,1,0],[0,165,173,1,0],[0,179,187,1,0],[0,202,210,1,0],[0,213,221,1,0],[1,280,288,1,0],[0,297,305,1,0],[0,323,331,1,0],[0,335,343,1,0],[0,345,353,1,0],[0,390,398,1,0],[1,398,406,1,0],[0,414,422,1,0],[0,439,447,1,0],[0,453,457,1,0],[0,457,461,1,0],[0,467,471,1,0],[0,471,475,1,0],[0,479,487,1,0],[0,489,493,1,0],[0,507,511,1,0],[0,522,526,1,0],[0,528,532,1,0],[1,588,596,1,0],[1,613,621,1,0],[1,651,655,1,0],[1,680,688,1,0],[1,736,744,1,0],[1,773,781,1,0],[1,927,935,1,0],[1,935,939,1,0],[1,1048,1056,1,0],[1,1056,1064,1,0],[1,1064,1072,1,0],[1,1088,1096,1,0],[1,1096,1100,1,0],[1,1129,1137,1,0],[1,1137,1145,1,0],[1,1165,1173,1,0],[1,1173,1181,1,0],[1,1181,1185,1,0],[1,1388,1396,1,0],[1,1423,1431,1,0],[1,1431,1439,1,0],[1,1439,1447,1,0],[1,1447,1451,1,0],[1,1508,1516,1,0],[1,1566,1574,1,0],[1,1574,1582,1,0],[1,1716,1724,1,0],[1,1725,1729,1,0],[1,1768,1776,1,0],[0,1887,1895,1,0],[0,1921,1929,1,0],[0,1977,1985,1,0],[0,2014,2022,1,0],[0,2022,2030,1,0],[0,2051,2059,1,0],[0,2094,2102,1,0],[0,2102,2110,1,0],[1,2218,2226,1,0],[1,2226,2234,1,0],[1,2234,2242,1,0],[1,2297,2301,1,0],[1,2362,2370,1,0],[1,2370,2378,1,0],[1,2440,2448,1,0],[1,2452,2460,1,0],[1,2460,2464,1,0]],[[0,1,9,1,0],[0,10,18,1,0],[0,20,28,1,0],[0,30,38,1,0],[0,41,49,1,0],[0,49,57,1,0],[0,57,65,1,0],[0,65,73,1,0],[0,73,81,1,0],[0,81,89,1,0],[1,100,108,1,0],[0,116,124,1,0],[0,136,144,1,0],[1,144,152,1,0],[0,164,172,1,0],[0,180,188,1,0],[0,188,196,1,0],[0,215,223,1,0],[1,258,266,1,0],[0,277,285,1,0],[1,291,299,1,0],[1,299,303,1,0],[0,313,321,1,0],[0,321,329,1,0],[1,329,337,1,0],[0,363,371,1,0],[0,404,412,1,0],[0,412,420,1,0],[0,420,424,1,0],[0,450,458,1,0],[0,458,462,1,0],[0,462,466,1,0],[0,469,473,1,0],[0,476,480,1,0],[0,481,489,1,0],[0,489,493,1,0],[0,505,509,1,0],[0,518,522,1,0],[1,552,560,1,0],[1,583,591,1,0],[1,638,646,1,0],[1,646,650,1,0],[1,678,686,1,0],[1,708,716,1,0],[1,776,784,1,0],[1,784,792,1,0],[1,878,882,1,0],[1,1102,1110,1,0],[1,1366,1374,1,0],[1,1374,1382,1,0],[1,1397,1405,1,0],[1,1405,1409,1,0],[1,1409,1417,1,0],[1,1419,1427,1,0],[1,1468,1476,1,0],[1,1477,1485,1,0],[1,1509,1513,1,0],[1,1661,1669,1,0],[1,1777,1785,1,0],[1,1785,1793,1,0],[1,1849,1857,1,0],[0,1936,1944,1,0],[1,1973,1977,1,0],[0,1992,2000,1,0],[0,2006,2014,1,0],[0,2016,2024,1,0],[0,2037,2045,1,0],[0,2078,2086,1,0],[0,2086,2094,1,0],[0,2149,2157,1,0],[1,2250,2258,1,0],[1,2258,2266,1,0],[1,2340,2348,1,0],[1,2378,2386,1,0],[1,2386,2390,1,0],[1,2403,2411,1,0],[1,2444,2452,1,0],[1,2452,2460,1,0],[1,2508,2516,1,0],[1,2516,2520,1,0]],[[0,457,461,1,0],[0,482,486,1,0],[0,489,493,1,0],[0,510,514,1,0],[0,710,714,1,0],[0,727,731,1,0],[0,914,918,1,0],[0,930,934,1,0],[1,1573,1581,1,0],[1,1581,1589,1,0],[1,1589,1597,1,0],[1,1618,1626,1,0],[1,1626,1630,1,0],[1,1757,1765,1,0],[1,1766,1774,1,0],[1,1805,1813,1,0],[1,2233,2241,1,0],[1,2241,2245,1,0],[1,2332,2340,1,0],[1,2468,2476,1,0],[1,2534,2542,1,0],[1,2624,2632,1,0],[1,2642,2646,1,0],[1,2757,2765,1,0],[1,2900,2908,1,0],[1,2908,2916,1,0],[0,3086,3094,1,0],[1,3121,3129,1,0],[1,3129,3133,1,0],[0,3138,3146,1,0],[0,3146,3154,1,0],[0,3162,3170,1,0],[0,3175,3183,1,0],[0,3223,3231,1,0],[0,3245,3253,1,0],[1,3253,3261,1,0],[0,3268,3276,1,0],[1,3277,3285,1,0],[0,3356,3364,1,0],[0,3370,3378,1,0],[0,3383,3391,1,0],[0,3391,3399,1,0],[0,3406,3414,1,0],[0,3420,3428,1,0],[0,3428,3436,1,0],[0,3436,3444,1,0],[1,3446,3454,1,0],[0,3473,3481,1,0],[0,3481,3489,1,0],[0,3489,3497,1,0],[1,3501,3509,1,0],[1,3509,3513,1,0],[0,3519,3527,1,0],[0,3527,3535,1,0],[0,3538,3546,1,0],[1,3546,3554,1,0],[1,3554,3562,1,0],[0,3585,3593,1,0],[0,3596,3604,1,0],[0,3606,3614,1,0],[0,3614,3622,1,0],[0,3622,3630,1,0],[0,3630,3638,1,0],[0,3660,3668,1,0],[0,3672,3680,1,0],[1,3680,3688,1,0],[1,3688,3696,1,0],[1,3696,3700,1,0],[0,3717,3725,1,0],[0,3733,3741,1,0],[1,3741,3749,1,0],[1,3750,3758,1,0],[1,3758,3766,1,0],[1,3766,3774,1,0],[1,3774,3778,1,0],[1,3833,3841,1,0],[1,3841,3849,1,0],[1,3849,3857,1,0],[1,3857,3865,1,0],[1,3880,3884,1,0]],[[1,98,106,1,0],[1,119,127,1,0],[1,322,330,1,0],[0,455,459,1,0],[0,501,505,1,0],[0,508,512,1,0],[0,512,516,1,0],[1,554,562,1,0],[1,562,566,1,0],[0,710,714,1,0],[0,743,747,1,0],[0,912,916,1,0],[0,928,932,1,0],[1,2005,2013,1,0],[1,2056,2064,1,0],[1,2098,2106,1,0],[1,2139,2147,1,0],[1,2147,2151,1,0],[1,2239,2247,1,0],[1,2322,2330,1,0],[1,2702,2710,1,0],[1,2749,2757,1,0],[1,2757,2761,1,0],[1,2807,2815,1,0],[1,2855,2863,1,0],[1,2863,2871,1,0],[1,2927,2935,1,0],[1,2935,2939,1,0],[0,3119,3127,1,0],[0,3163,3171,1,0],[0,3171,3179,1,0],[1,3179,3187,1,0],[1,3187,3195,1,0],[1,3195,3203,1,0],[1,3203,3211,1,0],[1,3213,3217,1,0],[0,3254,3262,1,0],[0,3264,3272,1,0],[0,3273,3281,1,0],[0,3288,3296,1,0],[0,3303,3311,1,0],[0,3320,3328,1,0],[0,3328,3336,1,0],[0,3361,3369,1,0],[0,3369,3377,1,0],[0,3377,3385,1,0],[0,3385,3393,1,0],[0,3393,3401,1,0],[0,3401,3409,1,0],[0,3409,3417,1,0],[1,3418,3426,1,0],[0,3454,3462,1,0],[0,3462,3470,1,0],[0,3470,3478,1,0],[0,3486,3494,1,0],[0,3510,3518,1,0],[1,3518,3526,1,0],[1,3526,3534,1,0],[1,3534,3542,1,0],[1,3544,3548,1,0],[0,3563,3571,1,0],[0,3600,3608,1,0],[0,3608,3616,1,0],[0,3616,3624,1,0],[0,3626,3634,1,0],[0,3662,3670,1,0],[0,3670,3678,1,0],[0,3684,3692,1,0],[0,3692,3700,1,0],[1,3706,3714,1,0],[0,3719,3727,1,0],[1,3727,3735,1,0],[1,3735,3743,1,0],[1,3743,3751,1,0],[1,3751,3755,1,0],[1,3782,3790,1,0],[1,3790,3798,1,0],[1,3798,3806,1,0],[1,3806,3814,1,0],[1,3814,3818,1,0]],[[1,97,105,1,0],[1,115,123,1,0],[1,123,131,1,0],[0,309,313,1,0],[1,316,324,1,0],[0,329,333,1,0],[0,344,348,1,0],[0,348,352,1,0],[1,354,358,1,0],[0,375,379,1,0],[0,382,386,1,0],[0,392,396,1,0],[0,431,435,1,0],[1,937,945,1,0],[1,945,953,1,0],[1,1380,1388,1,0],[1,1388,1396,1,0],[1,1396,1400,1,0],[1,1631,1639,1,0],[1,1657,1665,1,0],[1,1665,1673,1,0],[1,1673,1681,1,0],[1,1696,1700,1,0],[0,1890,1898,1,0],[0,2705,2713,1,0],[0,2722,2730,1,0],[0,2757,2765,1,0],[0,2788,2796,1,0],[1,2809,2817,1,0],[0,2828,2836,1,0],[0,2863,2871,1,0],[0,2871,2879,1,0],[0,2882,2890,1,0],[0,2890,2898,1,0],[0,2902,2910,1,0],[0,2910,2918,1,0],[0,2919,2927,1,0],[0,2927,2935,1,0],[0,2935,2943,1,0],[0,2943,2951,1,0],[0,2953,2961,1,0],[0,2970,2978,1,0],[0,2999,3007,1,0],[1,3127,3135,1,0],[1,3135,3143,1,0],[0,3188,3196,1,0],[0,3196,3204,1,0],[0,3204,3212,1,0],[1,3223,3231,1,0],[1,3231,3235,1,0],[0,3240,3248,1,0],[1,3278,3286,1,0],[1,3286,3294,1,0],[0,3345,3353,1,0],[0,3356,3364,1,0],[0,3364,3372,1,0],[1,3374,3382,1,0],[0,3391,3399,1,0],[1,3399,3407,1,0],[1,3407,3411,1,0],[1,3411,3419,1,0],[1,3419,3427,1,0],[1,3427,3435,1,0],[1,3435,3443,1,0],[1,3443,3447,1,0],[1,3447,3455,1,0],[1,3473,3481,1,0],[1,3481,3489,1,0],[0,3497,3505,1,0],[1,3515,3523,1,0],[1,3523,3527,1,0],[0,3573,3581,1,0],[0,3661,3669,1,0],[0,3675,3683,1,0],[1,3683,3691,1,0],[0,3697,3705,1,0],[1,3713,3721,1,0],[1,3723,3731,1,0],[1,3731,3739,1,0],[1,3739,3743,1,0]],[[1,105,113,1,0],[1,113,121,1,0],[0,295,299,1,0],[0,307,311,1,0],[0,311,315,1,0],[0,332,336,1,0],[0,362,366,1,0],[0,366,370,1,0],[0,383,387,1,0],[0,390,394,1,0],[1,1024,1032,1,0],[1,1043,1051,1,0],[1,1084,1088,1,0],[1,1824,1832,1,0],[1,1832,1840,1,0],[1,1840,1848,1,0],[1,1848,1856,1,0],[0,1892,1900,1,0],[1,1907,1911,1,0],[1,2416,2424,1,0],[1,2463,2471,1,0],[1,2506,2514,1,0],[1,2620,2628,1,0],[0,2691,2699,1,0],[1,2706,2710,1,0],[0,2724,2732,1,0],[0,2766,2774,1,0],[0,2790,2798,1,0],[0,2814,2822,1,0],[0,2830,2838,1,0],[0,2866,2874,1,0],[0,2890,2898,1,0],[0,2898,2906,1,0],[0,2912,2920,1,0],[0,2922,2930,1,0],[0,2930,2938,1,0],[0,2938,2946,1,0],[0,2955,2963,1,0],[0,2972,2980,1,0],[0,2985,2993,1,0],[0,3002,3010,1,0],[0,3067,3075,1,0],[0,3111,3119,1,0],[0,3119,3127,1,0],[1,3159,3167,1,0],[0,3190,3198,1,0],[0,3203,3211,1,0],[1,3231,3239,1,0],[0,3250,3258,1,0],[1,3258,3266,1,0],[0,3295,3303,1,0],[0,3358,3366,1,0],[0,3377,3385,1,0],[1,3405,3413,1,0],[1,3413,3417,1,0],[1,3417,3425,1,0],[1,3425,3433,1,0],[1,3475,3483,1,0],[1,3483,3491,1,0],[0,3499,3507,1,0],[1,3507,3511,1,0],[1,3525,3533,1,0],[1,3533,3541,1,0],[1,3557,3565,1,0],[1,3565,3573,1,0],[1,3573,3577,1,0],[1,3603,3611,1,0],[1,3611,3619,1,0],[1,3619,3627,1,0],[1,3630,3638,1,0],[0,3647,3655,1,0],[0,3657,3665,1,0],[1,3665,3669,1,0],[0,3677,3685,1,0],[1,3685,3693,1,0],[0,3699,3707,1,0],[1,3709,3717,1,0],[1,3826,3834,1,0],[1,3892,3900,1,0],[1,3900,3904,1,0]],[[0,296,300,1,0],[0,302,306,1,0],[1,328,336,1,0],[1,336,344,1,0],[0,527,531,1,0],[0,531,535,1,0],[0,623,627,1,0],[0,646,650,1,0],[0,788,792,1,0],[0,800,804,1,0],[1,1078,1086,1,0],[1,1094,1102,1,0],[1,1102,1106,1,0],[1,1252,1260,1,0],[1,1747,1755,1,0],[1,1755,1763,1,0],[1,1810,1818,1,0],[1,1828,1832,1,0],[1,1846,1854,1,0],[1,1854,1862,1,0],[1,1862,1870,1,0],[1,1870,1878,1,0],[1,1878,1882,1,0],[1,1907,1915,1,0],[1,1932,1940,1,0],[1,1940,1948,1,0],[1,1977,1985,1,0],[1,1985,1989,1,0],[1,1989,1997,1,0],[1,1997,2005,1,0],[1,2005,2013,1,0],[1,2013,2021,1,0],[1,2021,2025,1,0],[1,2074,2082,1,0],[1,2082,2090,1,0],[1,2104,2112,1,0],[1,2112,2120,1,0],[1,2143,2147,1,0],[1,2167,2175,1,0],[0,2216,2224,1,0],[1,2252,2260,1,0],[0,2290,2298,1,0],[1,2300,2308,1,0],[0,2353,2361,1,0],[1,2392,2400,1,0],[1,2400,2404,1,0],[0,2463,2471,1,0],[0,2479,2487,1,0],[0,2487,2495,1,0],[0,2547,2555,1,0],[1,2558,2566,1,0],[1,2566,2574,1,0],[1,2605,2613,1,0],[1,2613,2621,1,0],[0,2725,2733,1,0],[1,2736,2740,1,0],[0,2805,2813,1,0],[0,2951,2959,1,0],[0,3067,3075,1,0],[0,3075,3083,1,0],[0,3085,3093,1,0],[0,3100,3108,1,0],[0,3323,3331,1,0],[0,3331,3339,1,0],[0,3352,3360,1,0],[0,3390,3398,1,0],[0,3416,3424,1,0],[0,3454,3462,1,0],[0,3462,3470,1,0],[0,3490,3498,1,0],[0,3518,3526,1,0],[0,3531,3539,1,0],[0,3539,3547,1,0],[0,3568,3576,1,0],[0,3637,3645,1,0],[0,3659,3667,1,0],[0,3667,3675,1,0],[0,3742,3750,1,0],[0,3760,3768,1,0],[0,3836,3844,1,0]],[[0,300,304,1,0],[0,305,309,1,0],[0,529,533,1,0],[0,584,588,1,0],[0,621,625,1,0],[0,644,648,1,0],[0,786,790,1,0],[0,816,820,1,0],[1,1029,1037,1,0],[1,1037,1045,1,0],[1,1045,1053,1,0],[1,1064,1072,1,0],[1,1072,1076,1,0],[1,1110,1118,1,0],[1,1162,1170,1,0],[1,1627,1635,1,0],[1,1815,1823,1,0],[1,1844,1848,1,0],[1,1886,1894,1,0],[1,1920,1928,1,0],[1,1928,1936,1,0],[1,1936,1944,1,0],[1,1944,1948,1,0],[1,2083,2091,1,0],[1,2091,2099,1,0],[1,2140,2148,1,0],[1,2148,2156,1,0],[1,2156,2160,1,0],[0,2218,2226,1,0],[1,2286,2294,1,0],[1,2294,2302,1,0],[0,2313,2321,1,0],[1,2322,2330,1,0],[0,2345,2353,1,0],[0,2449,2457,1,0],[0,2477,2485,1,0],[0,2554,2562,1,0],[0,2745,2753,1,0],[1,2780,2788,1,0],[1,2788,2792,1,0],[0,2807,2815,1,0],[1,2857,2865,1,0],[1,2865,2873,1,0],[1,2873,2881,1,0],[1,2971,2979,1,0],[0,3017,3025,1,0],[0,3069,3077,1,0],[0,3079,3087,1,0],[0,3202,3210,1,0],[0,3246,3254,1,0],[1,3265,3269,1,0],[0,3313,3321,1,0],[0,3321,3329,1,0],[0,3329,3337,1,0],[0,3339,3347,1,0],[0,3354,3362,1,0],[0,3392,3400,1,0],[0,3408,3416,1,0],[0,3443,3451,1,0],[1,3475,3483,1,0],[1,3483,3491,1,0],[1,3491,3499,1,0],[1,3499,3507,1,0],[1,3507,3511,1,0],[0,3517,3525,1,0],[0,3534,3542,1,0],[0,3542,3550,1,0],[0,3550,3558,1,0],[0,3574,3582,1,0],[0,3582,3590,1,0],[1,3590,3598,1,0],[0,3623,3631,1,0],[0,3661,3669,1,0],[1,3669,3677,1,0],[1,3677,3685,1,0],[1,3685,3693,1,0],[1,3693,3697,1,0],[0,3744,3752,1,0],[0,3779,3787,1,0],[0,3859,3867,1,0]],[[0,288,292,1,0],[0,300,304,1,0],[0,308,312,1,0],[0,331,335,1,0],[0,343,347,1,0],[0,348,352,1,0],[0,359,363,1,0],[0,373,377,1,0],[1,511,519,1,0],[1,519,527,1,0],[1,542,550,1,0],[1,1600,1608,1,0],[1,1608,1612,1,0],[1,1872,1880,1,0],[1,1880,1888,1,0],[1,1888,1896,1,0],[1,1896,1904,1,0],[1,1904,1908,1,0],[1,1909,1917,1,0],[0,1928,1936,1,0],[0,1942,1950,1,0],[0,1950,1958,1,0],[0,1958,1966,1,0],[0,1966,1974,1,0],[0,1974,1982,1,0],[0,1982,1990,1,0],[0,2007,2015,1,0],[0,2015,2023,1,0],[0,2071,2079,1,0],[0,2079,2087,1,0],[0,2115,2123,1,0],[1,2135,2143,1,0],[1,2143,2151,1,0],[0,2163,2171,1,0],[0,2171,2179,1,0],[0,2179,2187,1,0],[0,2187,2195,1,0],[1,2233,2241,1,0],[1,2241,2245,1,0],[1,2279,2287,1,0],[1,2287,2295,1,0],[0,2303,2311,1,0],[0,2311,2319,1,0],[0,2319,2327,1,0],[0,2331,2339,1,0],[0,2339,2347,1,0],[0,2347,2355,1,0],[0,2364,2372,1,0],[0,2378,2386,1,0],[1,2386,2394,1,0],[1,2456,2464,1,0],[1,2466,2470,1,0],[1,2480,2488,1,0],[0,2666,2674,1,0],[0,2674,2682,1,0],[0,2682,2690,1,0],[0,2721,2729,1,0],[0,2729,2737,1,0],[0,2738,2746,1,0],[1,2746,2754,1,0],[1,2758,2766,1,0],[1,2766,2774,1,0],[1,2823,2827,1,0],[0,2856,2864,1,0],[0,2937,2945,1,0],[1,3306,3314,1,0],[1,3314,3322,1,0],[1,3322,3330,1,0],[1,3330,3338,1,0],[1,3338,3342,1,0],[1,3494,3502,1,0],[1,3502,3510,1,0],[1,3510,3518,1,0],[1,3518,3526,1,0],[1,3526,3530,1,0],[1,3536,3544,1,0],[1,3569,3577,1,0],[1,3577,3585,1,0],[1,3585,3593,1,0],[1,3593,3597,1,0]],[[0,286,290,1,0],[0,306,310,1,0],[0,314,318,1,0],[0,333,337,1,0],[0,337,341,1,0],[0,345,349,1,0],[0,349,353,1,0],[0,363,367,1,0],[1,1484,1492,1,0],[1,1507,1515,1,0],[1,1520,1528,1,0],[1,1528,1536,1,0],[1,1536,1540,1,0],[1,1847,1855,1,0],[1,1855,1863,1,0],[1,1863,1871,1,0],[1,1871,1879,1,0],[1,1880,1884,1,0],[0,1944,1952,1,0],[0,1952,1960,1,0],[0,1960,1968,1,0],[0,1968,1976,1,0],[0,1976,1984,1,0],[0,1984,1992,1,0],[0,1992,2000,1,0],[0,2009,2017,1,0],[0,2024,2032,1,0],[0,2065,2073,1,0],[0,2073,2081,1,0],[0,2081,2089,1,0],[0,2093,2101,1,0],[0,2137,2145,1,0],[0,2149,2157,1,0],[1,2159,2167,1,0],[0,2181,2189,1,0],[0,2189,2197,1,0],[0,2197,2205,1,0],[1,2248,2256,1,0],[1,2256,2264,1,0],[1,2288,2296,1,0],[1,2296,2300,1,0],[0,2317,2325,1,0],[0,2325,2333,1,0],[0,2341,2349,1,0],[0,2349,2357,1,0],[0,2366,2374,1,0],[1,2426,2434,1,0],[1,2434,2442,1,0],[1,2442,2450,1,0],[1,2450,2458,1,0],[1,2460,2464,1,0],[0,2652,2660,1,0],[0,2668,2676,1,0],[0,2723,2731,1,0],[0,2731,2739,1,0],[0,2740,2748,1,0],[0,2783,2791,1,0],[0,2858,2866,1,0],[1,2875,2883,1,0],[0,3062,3070,1,0],[0,3254,3262,1,0],[1,3446,3454,1,0],[1,3454,3462,1,0],[1,3462,3470,1,0],[1,3470,3474,1,0],[1,3545,3553,1,0],[1,3553,3561,1,0],[1,3561,3569,1,0],[1,3569,3577,1,0],[1,3577,3581,1,0],[1,3581,3589,1,0],[1,3729,3737,1,0],[1,3737,3745,1,0],[1,3745,3753,1,0],[1,3753,3757,1,0],[1,3812,3820,1,0],[1,3820,3828,1,0],[1,3828,3836,1,0],[1,3836,3844,1,0],[1,3844,3848,1,0]],[[0,79,83,1,0],[0,83,87,1,0],[0,87,91,1,0],[0,91,95,1,0],[0,99,103,1,0],[1,110,118,1,0],[1,118,126,1,0],[1,126,134,1,0],[1,134,142,1,0],[1,142,146,1,0],[0,155,159,1,0],[0,281,285,1,0],[0,309,313,1,0],[1,517,525,1,0],[1,588,596,1,0],[1,596,604,1,0],[0,648,656,1,0],[1,676,684,1,0],[1,684,688,1,0],[0,785,793,1,0],[0,793,801,1,0],[0,812,820,1,0],[0,820,828,1,0],[0,837,845,1,0],[0,845,853,1,0],[0,875,883,1,0],[1,884,892,1,0],[1,893,901,1,0],[1,918,926,1,0],[1,928,936,1,0],[1,1108,1112,1,0],[1,1201,1209,1,0],[1,1242,1250,1,0],[1,1303,1311,1,0],[1,1356,1364,1,0],[1,1364,1368,1,0],[1,1368,1376,1,0],[1,1450,1458,1,0],[1,1480,1488,1,0],[1,1585,1593,1,0],[1,1593,1597,1,0],[1,1641,1649,1,0],[1,1676,1684,1,0],[1,1684,1692,1,0],[1,1692,1700,1,0],[1,1723,1727,1,0],[1,1842,1850,1,0],[1,1884,1892,1,0],[0,1952,1960,1,0],[0,1964,1972,1,0],[0,1979,1987,1,0],[0,1987,1995,1,0],[0,1995,2003,1,0],[0,2012,2020,1,0],[0,2022,2030,1,0],[0,2038,2046,1,0],[0,2058,2066,1,0],[0,2084,2092,1,0],[0,2100,2108,1,0],[0,2108,2116,1,0],[0,2124,2132,1,0],[0,2132,2140,1,0],[0,2191,2199,1,0],[0,2206,2214,1,0],[0,2317,2325,1,0],[0,2411,2419,1,0],[1,2463,2471,1,0],[1,2471,2479,1,0],[1,2480,2484,1,0],[0,2522,2530,1,0],[0,2543,2551,1,0],[1,2564,2572,1,0],[1,2572,2580,1,0],[1,2580,2588,1,0],[0,2594,2602,1,0],[0,2603,2611,1,0],[0,2611,2619,1,0],[1,2620,2628,1,0],[1,2628,2632,1,0],[0,2677,2685,1,0]],[[0,73,77,1,0],[0,81,85,1,0],[0,85,89,1,0],[0,89,93,1,0],[0,113,117,1,0],[1,118,126,1,0],[1,126,134,1,0],[0,153,157,1,0],[0,279,283,1,0],[1,299,307,1,0],[0,315,319,1,0],[1,351,359,1,0],[1,428,432,1,0],[1,572,580,1,0],[1,590,598,1,0],[1,627,635,1,0],[1,684,692,1,0],[1,692,696,1,0],[0,758,766,1,0],[0,779,787,1,0],[0,787,795,1,0],[0,814,822,1,0],[1,822,830,1,0],[0,836,844,1,0],[0,844,852,1,0],[1,856,864,1,0],[1,864,872,1,0],[0,877,885,1,0],[1,897,905,1,0],[1,994,998,1,0],[1,1533,1541,1,0],[1,1541,1549,1,0],[1,1571,1579,1,0],[0,1588,1596,1,0],[1,1612,1620,1,0],[1,1620,1624,1,0],[0,1937,1945,1,0],[0,1961,1969,1,0],[0,1981,1989,1,0],[0,1989,1997,1,0],[0,1997,2005,1,0],[0,2005,2013,1,0],[0,2014,2022,1,0],[0,2040,2048,1,0],[0,2086,2094,1,0],[0,2110,2118,1,0],[0,2118,2126,1,0],[0,2128,2136,1,0],[0,2158,2166,1,0],[0,2173,2181,1,0],[0,2182,2190,1,0],[0,2208,2216,1,0],[0,2307,2315,1,0],[0,2362,2370,1,0],[0,2384,2392,1,0],[0,2450,2458,1,0],[1,2460,2468,1,0],[1,2468,2476,1,0],[0,2496,2504,1,0],[1,2521,2529,1,0],[1,2529,2537,1,0],[1,2537,2541,1,0],[0,2565,2573,1,0],[0,2678,2686,1,0],[1,2713,2721,1,0],[0,2765,2773,1,0],[1,2899,2907,1,0],[1,3022,3030,1,0],[1,3099,3107,1,0],[1,3107,3111,1,0],[1,3168,3176,1,0],[1,3176,3184,1,0],[1,3184,3192,1,0],[1,3192,3200,1,0],[1,3200,3204,1,0],[1,3204,3212,1,0],[1,3212,3220,1,0],[1,3220,3228,1,0],[1,3228,3236,1,0],[1,3236,3240,1,0]],[[0,84,88,1,0],[0,88,92,1,0],[0,92,96,1,0],[0,96,100,1,0],[0,100,104,1,0],[0,104,108,1,0],[0,108,112,1,0],[0,112,116,1,0],[1,120,128,1,0],[1,150,158,1,0],[1,168,176,1,0],[0,204,212,1,0],[0,212,220,1,0],[1,399,407,1,0],[0,421,429,1,0],[1,495,499,1,0],[0,555,563,1,0],[0,586,594,1,0],[0,594,602,1,0],[0,640,648,1,0],[0,667,675,1,0],[1,738,746,1,0],[1,804,812,1,0],[1,877,885,1,0],[1,885,893,1,0],[1,893,897,1,0],[1,1350,1358,1,0],[1,1358,1366,1,0],[1,1438,1446,1,0],[1,1446,1454,1,0],[1,1454,1458,1,0],[0,1610,1618,1,0],[0,1665,1673,1,0],[0,1709,1717,1,0],[1,1730,1738,1,0],[1,1738,1746,1,0],[0,1809,1817,1,0],[0,1817,1825,1,0],[1,1834,1842,1,0],[0,1899,1907,1,0],[0,1916,1924,1,0],[1,1930,1938,1,0],[1,1938,1942,1,0],[0,1959,1967,1,0],[0,1967,1975,1,0],[0,2019,2027,1,0],[0,2038,2046,1,0],[0,2063,2071,1,0],[0,2077,2085,1,0],[0,2087,2095,1,0],[0,2097,2105,1,0],[0,2105,2113,1,0],[0,2125,2133,1,0],[0,2184,2192,1,0],[0,2195,2203,1,0],[0,2203,2211,1,0],[0,2265,2273,1,0],[0,2325,2333,1,0],[0,2351,2359,1,0],[0,2450,2458,1,0],[1,2495,2503,1,0],[1,2503,2511,1,0],[1,2511,2519,1,0],[1,2519,2527,1,0],[1,2561,2565,1,0],[1,2569,2577,1,0],[1,2595,2603,1,0],[1,2603,2611,1,0],[1,3027,3035,1,0],[1,3035,3039,1,0],[1,3122,3130,1,0],[1,3130,3138,1,0],[1,3171,3179,1,0],[1,3179,3187,1,0],[1,3187,3191,1,0],[1,3201,3209,1,0],[1,3209,3217,1,0],[1,3217,3225,1,0],[1,3225,3233,1,0],[1,3233,3237,1,0]],[[0,78,82,1,0],[0,82,86,1,0],[0,86,90,1,0],[0,90,94,1,0],[0,94,98,1,0],[0,98,102,1,0],[0,102,106,1,0],[0,106,110,1,0],[1,118,126,1,0],[1,126,134,1,0],[0,206,214,1,0],[0,230,238,1,0],[1,292,300,1,0],[0,467,475,1,0],[0,475,483,1,0],[1,508,516,1,0],[1,516,520,1,0],[0,653,661,1,0],[0,661,669,1,0],[0,669,677,1,0],[0,709,717,1,0],[1,731,739,1,0],[1,739,747,1,0],[1,747,755,1,0],[1,755,763,1,0],[1,763,767,1,0],[1,821,829,1,0],[1,874,882,1,0],[1,1193,1201,1,0],[1,1389,1397,1,0],[1,1397,1401,1,0],[1,1478,1486,1,0],[1,1499,1507,1,0],[1,1552,1560,1,0],[1,1592,1600,1,0],[1,1601,1605,1,0],[0,1612,1620,1,0],[0,1667,1675,1,0],[0,1711,1719,1,0],[1,1730,1738,1,0],[1,1738,1746,1,0],[0,1811,1819,1,0],[0,1901,1909,1,0],[0,1951,1959,1,0],[0,1961,1969,1,0],[0,1969,1977,1,0],[0,2005,2013,1,0],[0,2040,2048,1,0],[0,2092,2100,1,0],[0,2107,2115,1,0],[0,2115,2123,1,0],[0,2139,2147,1,0],[1,2152,2160,1,0],[0,2171,2179,1,0],[0,2189,2197,1,0],[0,2197,2205,1,0],[0,2215,2223,1,0],[0,2225,2233,1,0],[1,2245,2253,1,0],[1,2253,2257,1,0],[0,2280,2288,1,0],[0,2329,2337,1,0],[0,2337,2345,1,0],[0,2465,2473,1,0],[0,2507,2515,1,0],[1,2515,2523,1,0],[1,2523,2531,1,0],[1,2531,2539,1,0],[1,2539,2547,1,0],[1,2547,2551,1,0],[1,2574,2582,1,0],[1,2583,2591,1,0],[1,2591,2599,1,0],[1,2599,2607,1,0],[1,2607,2611,1,0],[1,3119,3127,1,0],[1,3127,3135,1,0],[1,3135,3143,1,0],[1,3143,3151,1,0],[1,3221,3225,1,0]],[[0,0,8,1,0],[0,14,22,1,0],[0,22,30,1,0],[0,30,38,1,0],[0,38,46,1,0],[0,46,54,1,0],[0,54,62,1,0],[0,62,70,1,0],[0,70,74,1,0],[0,74,78,1,0],[0,98,102,1,0],[0,102,106,1,0],[0,108,112,1,0],[0,115,119,1,0],[0,120,128,1,0],[0,128,136,1,0],[0,139,143,1,0],[0,145,149,1,0],[0,150,158,1,0],[0,158,166,1,0],[0,166,174,1,0],[0,174,182,1,0],[0,184,192,1,0],[0,192,200,1,0],[0,343,351,1,0],[0,366,374,1,0],[0,383,391,1,0],[0,449,457,1,0],[0,457,465,1,0],[0,642,650,1,0],[0,691,699,1,0],[1,713,721,1,0],[0,730,738,1,0],[0,739,747,1,0],[0,748,756,1,0],[0,775,783,1,0],[0,791,799,1,0],[0,804,812,1,0],[0,818,826,1,0],[0,844,852,1,0],[0,856,864,1,0],[1,904,912,1,0],[1,942,950,1,0],[1,955,963,1,0],[1,963,967,1,0],[1,997,1005,1,0],[1,1005,1013,1,0],[1,1052,1060,1,0],[1,1079,1087,1,0],[1,1116,1120,1,0],[1,1154,1162,1,0],[1,1166,1174,1,0],[1,1180,1188,1,0],[1,1246,1254,1,0],[1,1273,1277,1,0],[1,1462,1470,1,0],[1,1470,1478,1,0],[1,1507,1515,1,0],[1,1515,1523,1,0],[1,1523,1527,1,0],[1,1532,1540,1,0],[1,1560,1568,1,0],[1,1568,1576,1,0],[1,1589,1597,1,0],[1,1597,1601,1,0],[1,1696,1704,1,0],[1,1705,1713,1,0],[1,1714,1722,1,0],[1,1723,1731,1,0],[1,1741,1745,1,0],[1,1801,1809,1,0],[1,1823,1831,1,0],[1,1831,1839,1,0],[1,1853,1861,1,0],[1,1861,1865,1,0]],[[0,0,8,1,0],[0,8,16,1,0],[0,16,24,1,0],[0,24,32,1,0],[0,32,40,1,0],[0,40,48,1,0],[0,48,56,1,0],[0,56,64,1,0],[0,64,68,1,0],[0,68,72,1,0],[0,72,76,1,0],[0,76,80,1,0],[0,88,92,1,0],[0,96,100,1,0],[0,107,115,1,0],[0,115,119,1,0],[0,122,130,1,0],[0,142,150,1,0],[0,152,160,1,0],[0,160,168,1,0],[0,168,176,1,0],[0,178,186,1,0],[0,186,194,1,0],[0,244,248,1,0],[0,352,360,1,0],[0,360,368,1,0],[0,424,432,1,0],[0,505,513,1,0],[1,627,635,1,0],[0,661,669,1,0],[0,695,703,1,0],[0,718,726,1,0],[0,735,743,1,0],[0,743,751,1,0],[0,773,781,1,0],[0,781,789,1,0],[0,789,797,1,0],[0,797,805,1,0],[0,806,814,1,0],[0,850,858,1,0],[0,858,866,1,0],[1,904,912,1,0],[1,921,929,1,0],[1,940,948,1,0],[1,956,960,1,0],[1,960,968,1,0],[1,1012,1020,1,0],[1,1056,1064,1,0],[1,1128,1136,1,0],[1,1136,1140,1,0],[1,1363,1371,1,0],[1,1443,1451,1,0],[1,1451,1459,1,0],[1,1465,1473,1,0],[1,1478,1482,1,0],[1,1482,1490,1,0],[1,1492,1500,1,0],[1,1542,1550,1,0],[1,1589,1597,1,0],[1,1597,1601,1,0],[1,1618,1626,1,0],[1,1627,1635,1,0],[1,1646,1654,1,0],[1,1666,1674,1,0],[1,1675,1679,1,0],[1,1679,1687,1,0],[1,1688,1696,1,0],[1,1733,1741,1,0],[1,1743,1751,1,0],[1,1801,1805,1,0],[1,1806,1814,1,0],[1,1814,1822,1,0],[1,1822,1830,1,0],[1,1843,1851,1,0],[1,1851,1855,1,0]],[[0,0,8,1,0],[0,8,16,1,0],[0,22,30,1,0],[0,30,38,1,0],[0,38,46,1,0],[0,46,54,1,0],[0,59,67,1,0],[0,70,78,1,0],[0,83,91,1,0],[0,91,99,1,0],[0,102,110,1,0],[0,111,115,1,0],[0,115,123,1,0],[0,123,127,1,0],[0,127,131,1,0],[0,151,159,1,0],[0,161,165,1,0],[0,185,193,1,0],[0,204,212,1,0],[0,271,279,1,0],[0,285,289,1,0],[0,293,297,1,0],[0,301,305,1,0],[0,321,325,1,0],[0,349,357,1,0],[0,361,369,1,0],[0,369,377,1,0],[0,387,395,1,0],[0,395,403,1,0],[0,403,411,1,0],[0,428,436,1,0],[0,436,444,1,0],[0,444,452,1,0],[0,452,460,1,0],[0,460,468,1,0],[1,558,566,1,0],[1,613,621,1,0],[0,626,634,1,0],[0,789,797,1,0],[0,801,809,1,0],[1,823,831,1,0],[0,842,850,1,0],[1,905,913,1,0],[1,940,944,1,0],[0,982,990,1,0],[1,990,998,1,0],[1,998,1006,1,0],[1,1006,1014,1,0],[1,1025,1033,1,0],[1,1034,1038,1,0],[1,1146,1154,1,0],[1,1154,1162,1,0],[1,1162,1170,1,0],[1,1230,1238,1,0],[1,1356,1360,1,0],[1,1528,1536,1,0],[1,1538,1546,1,0],[1,1546,1554,1,0],[1,1560,1568,1,0],[1,1568,1572,1,0],[1,1572,1580,1,0],[1,1580,1588,1,0],[1,1588,1596,1,0],[1,1596,1604,1,0],[1,1604,1608,1,0],[1,1721,1729,1,0],[1,1729,1737,1,0],[1,1737,1745,1,0],[1,1753,1761,1,0],[1,1799,1803,1,0],[1,1812,1820,1,0],[1,1821,1829,1,0],[1,1830,1838,1,0],[1,1839,1847,1,0],[1,1849,1853,1,0]],[[0,0,8,1,0],[0,8,16,1,0],[0,16,24,1,0],[0,24,32,1,0],[0,32,40,1,0],[0,40,48,1,0],[0,48,56,1,0],[0,56,64,1,0],[0,64,72,1,0],[0,72,80,1,0],[0,80,88,1,0],[0,97,105,1,0],[0,109,113,1,0],[0,125,129,1,0],[0,129,133,1,0],[0,182,190,1,0],[0,195,203,1,0],[0,203,211,1,0],[0,288,296,1,0],[0,307,311,1,0],[0,316,320,1,0],[0,328,336,1,0],[0,336,340,1,0],[0,340,348,1,0],[0,348,356,1,0],[0,356,360,1,0],[0,360,364,1,0],[0,367,375,1,0],[0,375,383,1,0],[0,384,392,1,0],[0,397,405,1,0],[0,432,440,1,0],[0,456,464,1,0],[0,464,472,1,0],[0,558,566,1,0],[0,584,592,1,0],[0,628,636,1,0],[0,827,835,1,0],[0,850,858,1,0],[0,914,922,1,0],[1,967,975,1,0],[1,975,983,1,0],[1,992,1000,1,0],[1,1143,1151,1,0],[1,1171,1175,1,0],[1,1231,1239,1,0],[1,1245,1253,1,0],[1,1253,1261,1,0],[1,1337,1345,1,0],[1,1345,1349,1,0],[1,1415,1423,1,0],[1,1437,1445,1,0],[1,1445,1453,1,0],[1,1453,1461,1,0],[1,1466,1470,1,0],[1,1481,1489,1,0],[1,1503,1511,1,0],[1,1516,1524,1,0],[1,1524,1532,1,0],[1,1546,1550,1,0],[1,1600,1608,1,0],[1,1618,1626,1,0],[1,1626,1634,1,0],[1,1640,1648,1,0],[1,1648,1652,1,0],[1,1652,1660,1,0],[1,1660,1668,1,0],[1,1703,1711,1,0],[1,1711,1719,1,0],[1,1719,1723,1,0],[1,1749,1757,1,0],[1,1758,1766,1,0],[1,1767,1775,1,0],[1,1776,1784,1,0],[1,1785,1789,1,0]],[[0,67,131,10,0],[1,91,155,10,0],[0,131,195,10,0],[1,155,219,10,0],[0,195,259,10,0],[1,219,283,10,0],[0,259,323,10,0],[1,283,347,10,0],[0,323,327,10,0],[0,327,331,10,0],[0,331,335,10,0],[0,335,339,10,0],[0,339,343,10,0],[0,343,347,10,0],[1,347,351,10,0],[1,351,355,10,0],[0,353,357,10,0],[1,355,359,10,0],[0,357,361,10,0],[1,359,363,10,0],[1,363,367,10,0],[1,367,371,10,0],[1,377,381,10,0],[1,381,385,10,0],[1,385,449,10,0],[1,449,513,10,0],[1,513,577,10,0],[1,577,641,10,0],[1,641,645,10,0],[1,645,649,10,0],[1,649,653,10,0],[1,653,657,10,0],[1,657,661,10,0],[1,661,665,10,0],[1,668,672,10,0],[1,672,676,10,0],[1,676,740,10,0],[1,740,804,10,0],[1,804,868,10,0],[1,868,932,10,0],[1,932,936,10,0],[1,936,940,10,0],[1,940,944,10,0],[1,944,948,10,0],[1,948,952,10,0],[1,952,956,10,0],[1,958,962,10,0],[1,962,966,10,0],[1,978,1042,10,0],[1,1042,1106,10,0],[1,1106,1170,10,0],[1,1170,1234,10,0],[1,1234,1238,10,0],[1,1238,1242,10,0],[1,1242,1246,10,0],[1,1246,1250,10,0],[1,1250,1254,10,0],[1,1254,1258,10,0],[1,1261,1265,10,0],[1,1265,1269,10,0],[1,1269,1333,10,0],[1,1333,1397,10,0],[1,1397,1461,10,0],[1,1461,1525,10,0],[1,1525,1529,10,0],[1,1529,1533,10,0],[1,1533,1537,10,0],[1,1537,1541,10,0],[1,1541,1545,10,0],[1,1545,1549,10,0],[1,1551,1555,10,0],[1,1555,1559,10,0],[1,1560,1624,10,0],[1,1624,1688,10,0],[1,1688,1752,10,0],[1,1752,1816,10,0],[1,1816,1820,10,0],[1,1820,1824,10,0],[1,1824,1828,10,0],[1,1828,1832,10,0],[1,1832,1836,10,0],[1,1836,1840,10,0],[1,1843,1847,10,0],[1,1847,1851,10,0],[1,1854,1918,10,0],[1,1918,1982,10,0],[1,1982,2046,10,0],[1,2046,2110,10,0],[1,2110,2114,10,0],[1,2114,2118,10,0],[1,2118,2122,10,0],[1,2122,2126,10,0],[1,2126,2130,10,0],[1,2130,2134,10,0],[1,2140,2144,10,0],[1,2144,2148,10,0],[1,2148,2212,10,0],[1,2212,2276,10,0],[1,2276,2340,10,0],[1,2340,2404,10,0],[1,2404,2408,10,0],[1,2408,2412,10,0],[1,2412,2416,10,0],[1,2416,2420,10,0],[1,2420,2424,10,0],[1,2424,2428,10,0],[1,2431,2435,10,0],[1,2435,2439,10,0],[1,2439,2503,10,0],[1,2503,2567,10,0],[1,2567,2631,10,0],[1,2631,2695,10,0],[1,2695,2699,10,0],[1,2699,2703,10,0],[1,2703,2707,10,0],[1,2707,2711,10,0],[1,2711,2715,10,0],[1,2715,2719,10,0],[1,2721,2725,10,0],[1,2725,2729,10,0],[1,2739,2803,10,0],[1,2803,2867,10,0],[1,2867,2931,10,0],[1,2931,2995,10,0],[1,2995,2999,10,0],[1,2999,3003,10,0],[1,3003,3007,10,0],[1,3007,3011,10,0],[1,3011,3015,10,0],[1,3015,3019,10,0],[1,3021,3025,10,0],[1,3025,3029,10,0],[1,3030,3038,10,0],[1,3038,3046,10,0],[1,3055,3063,10,0],[1,3063,3071,10,0],[1,3071,3075,10,0],[0,3309,3437,9,0],[1,3333,3461,9,0],[0,3437,3565,9,0],[1,3461,3589,9,0],[0,3565,3693,9,0],[1,3589,3717,9,0],[0,3693,3821,9,0],[1,3717,3845,9,0],[1,3845,3973,9,0],[1,3973,4101,9,0],[1,4101,4229,9,0],[1,4229,4357,9,0],[1,4357,4485,9,0],[1,4485,4613,9,0],[1,4613,4741,9,0],[1,4741,4869,9,0],[1,4879,5007,9,0],[1,5007,5135,9,0],[1,5135,5263,9,0],[1,5263,5391,9,0],[1,5391,5395,9,0],[1,5395,5399,9,0],[1,5399,5403,9,0],[1,5403,5407,9,0],[1,5407,5411,9,0],[1,5411,5415,9,0],[1,5415,5419,9,0],[1,5419,5423,9,0],[1,5423,5427,9,0],[1,5427,5431,9,0],[1,5431,5435,9,0],[1,5435,5439,9,0],[1,5439,5443,9,0],[1,5443,5447,9,0],[1,5447,5451,9,0],[1,5451,5455,9,0],[1,5455,5459,9,0],[1,5459,5463,9,0],[1,5463,5467,9,0],[1,5467,5471,9,0],[1,5471,5475,9,0],[1,5475,5479,9,0],[1,5479,5483,9,0],[1,5483,5487,9,0],[1,5487,5491,9,0],[1,5491,5495,9,0],[1,5495,5499,9,0],[1,5499,5503,9,0],[1,5503,5507,9,0],[1,5507,5511,9,0],[1,5511,5515,9,0],[1,5515,5519,9,0],[1,5519,5523,9,0],[1,5523,5527,9,0],[1,5527,5531,9,0],[1,5531,5535,9,0],[1,5535,5539,9,0],[1,5539,5543,9,0],[1,5543,5547,9,0],[1,5547,5551,9,0],[1,5551,5555,9,0],[1,5555,5559,9,0],[1,5559,5563,9,0],[1,5563,5567,9,0],[1,5567,5571,9,0],[1,5571,5575,9,0],[1,5575,5579,9,0],[1,5579,5583,9,0],[1,5583,5587,9,0],[1,5587,5591,9,0],[1,5591,5595,9,0],[1,5595,5599,9,0],[1,5599,5603,9,0],[1,5603,5607,9,0],[1,5607,5611,9,0],[1,5611,5615,9,0],[1,5615,5619,9,0],[1,5619,5623,9,0],[1,5623,5627,9,0],[1,5627,5631,9,0],[1,5631,5635,9,0],[1,5635,5639,9,0],[1,5639,5643,9,0],[1,5643,5647,9,0],[1,5647,5775,9,0],[1,5777,5905,9,0],[1,5905,6033,9,0],[1,6033,6161,9,0],[1,6173,6177,9,0],[1,6177,6181,9,0],[1,6181,6185,9,0],[1,6185,6189,9,0],[1,6189,6193,9,0],[1,6193,6197,9,0],[1,6197,6201,9,0],[1,6201,6205,9,0],[1,6205,6209,9,0],[1,6209,6213,9,0],[1,6213,6217,9,0],[1,6217,6221,9,0],[1,6221,6225,9,0],[1,6225,6229,9,0],[1,6229,6233,9,0],[1,6233,6237,9,0]],[[1,99,163,10,0],[1,163,227,10,0],[1,227,291,10,0],[1,291,355,10,0],[1,355,359,10,0],[1,359,363,10,0],[1,363,367,10,0],[1,367,371,10,0],[1,371,375,10,0],[1,375,379,10,0],[1,381,385,10,0],[1,385,389,10,0],[1,389,453,10,0],[1,453,517,10,0],[1,517,581,10,0],[1,581,645,10,0],[1,645,649,10,0],[1,649,653,10,0],[1,653,657,10,0],[1,657,661,10,0],[1,661,665,10,0],[1,665,669,10,0],[1,671,675,10,0],[1,675,679,10,0],[1,679,743,10,0],[1,743,807,10,0],[1,807,871,10,0],[1,871,935,10,0],[1,935,939,10,0],[1,939,943,10,0],[1,943,947,10,0],[1,947,951,10,0],[1,951,955,10,0],[1,955,959,10,0],[1,962,966,10,0],[1,966,970,10,0],[1,973,1037,10,0],[1,1037,1101,10,0],[1,1101,1165,10,0],[1,1165,1229,10,0],[1,1229,1233,10,0],[1,1233,1237,10,0],[1,1237,1241,10,0],[1,1241,1245,10,0],[1,1245,1249,10,0],[1,1249,1253,10,0],[1,1255,1259,10,0],[1,1259,1263,10,0],[1,1263,1327,10,0],[1,1327,1391,10,0],[1,1391,1455,10,0],[1,1455,1519,10,0],[1,1519,1523,10,0],[1,1523,1527,10,0],[1,1527,1531,10,0],[0,1529,1593,10,0],[1,1531,1535,10,0],[1,1535,1539,10,0],[1,1539,1543,10,0],[1,1545,1549,10,0],[1,1549,1553,10,0],[1,1553,1617,10,0],[0,1593,1657,10,0],[1,1617,1681,10,0],[0,1657,1721,10,0],[1,1681,1745,10,0],[0,1721,1785,10,0],[1,1745,1809,10,0],[0,1785,1789,10,0],[0,1789,1793,10,0],[0,1793,1797,10,0],[0,1797,1801,10,0],[0,1801,1805,10,0],[0,1805,1809,10,0],[1,1809,1813,10,0],[0,1811,1815,10,0],[1,1813,1817,10,0],[0,1815,1819,10,0],[1,1817,1821,10,0],[1,1821,1825,10,0],[1,1825,1829,10,0],[1,1829,1833,10,0],[1,1835,1839,10,0],[1,1839,1843,10,0],[1,1843,1907,10,0],[1,1907,1971,10,0],[1,1971,2035,10,0],[1,2035,2099,10,0],[1,2099,2103,10,0],[1,2103,2107,10,0],[1,2107,2111,10,0],[1,2111,2115,10,0],[1,2115,2119,10,0],[1,2119,2123,10,0],[1,2125,2129,10,0],[1,2129,2133,10,0],[1,2133,2197,10,0],[1,2197,2261,10,0],[1,2261,2325,10,0],[1,2325,2389,10,0],[1,2389,2393,10,0],[1,2393,2397,10,0],[1,2397,2401,10,0],[1,2401,2405,10,0],[1,2405,2409,10,0],[1,2409,2413,10,0],[1,2415,2419,10,0],[1,2419,2423,10,0],[1,2433,2497,10,0],[1,2498,2562,10,0],[1,2562,2626,10,0],[1,2626,2690,10,0],[1,2690,2694,10,0],[1,2695,2699,10,0],[1,2699,2703,10,0],[1,2703,2707,10,0],[1,2707,2711,10,0],[1,2711,2715,10,0],[1,2716,2720,10,0],[1,2721,2725,10,0],[1,2725,2789,10,0],[1,2789,2853,10,0],[1,2853,2917,10,0],[1,2917,2981,10,0],[1,2981,2985,10,0],[1,2985,2989,10,0],[1,2989,2993,10,0],[1,2993,2997,10,0],[1,2997,3001,10,0],[1,3001,3005,10,0],[1,3007,3011,10,0],[1,3011,3015,10,0],[1,3033,3041,10,0],[1,3041,3049,10,0],[1,3049,3057,10,0],[1,3057,3065,10,0],[1,3065,3069,10,0],[0,3320,3448,9,0],[1,3356,3484,9,0],[0,3448,3576,9,0],[1,3484,3612,9,0],[0,3576,3704,9,0],[1,3612,3740,9,0],[1,3752,3880,9,0],[1,3880,4008,9,0],[1,4008,4136,9,0],[1,4136,4264,9,0],[1,4264,4392,9,0],[1,4392,4520,9,0],[1,4520,4648,9,0],[1,4648,4776,9,0],[1,4776,4904,9,0],[1,4906,4910,9,0],[1,4910,4914,9,0],[1,4914,4918,9,0],[1,4918,4922,9,0],[1,4922,4926,9,0],[1,4926,4930,9,0],[1,4930,4934,9,0],[1,4934,4938,9,0],[1,4938,4942,9,0],[1,4943,4947,9,0],[1,4947,4951,9,0],[1,4951,4955,9,0],[1,4955,4959,9,0],[1,4959,4963,9,0],[1,4963,4967,9,0],[1,4967,4971,9,0],[1,4971,4975,9,0],[1,4975,4979,9,0],[1,4979,4983,9,0],[1,4983,4987,9,0],[1,4987,4991,9,0],[1,4991,4995,9,0],[1,4995,4999,9,0],[1,4999,5003,9,0],[1,5003,5007,9,0],[1,5007,5011,9,0],[1,5011,5015,9,0],[1,5018,5022,9,0],[1,5022,5026,9,0],[1,5026,5030,9,0],[1,5030,5034,9,0],[1,5034,5038,9,0],[1,5038,5042,9,0],[1,5042,5046,9,0],[1,5046,5050,9,0],[1,5050,5054,9,0],[1,5054,5058,9,0],[1,5058,5062,9,0],[1,5062,5066,9,0],[1,5066,5070,9,0],[1,5072,5076,9,0],[1,5076,5080,9,0],[1,5080,5084,9,0],[1,5084,5088,9,0],[1,5088,5092,9,0],[1,5092,5096,9,0],[1,5096,5100,9,0],[1,5100,5104,9,0],[1,5105,5233,9,0],[1,5233,5361,9,0],[1,5361,5489,9,0],[1,5489,5617,9,0],[0,5624,5752,9,0],[1,5632,5760,9,0],[1,5760,5888,9,0],[1,5888,6016,9,0],[1,6016,6144,9,0],[1,6144,6148,9,0],[1,6148,6152,9,0],[1,6152,6156,9,0],[1,6156,6160,9,0],[1,6160,6164,9,0],[1,6164,6168,9,0],[1,6168,6172,9,0],[1,6172,6176,9,0],[1,6176,6180,9,0],[1,6180,6184,9,0],[1,6184,6188,9,0],[1,6188,6192,9,0],[1,6192,6196,9,0],[1,6196,6200,9,0],[1,6200,6204,9,0],[1,6204,6208,9,0],[1,6208,6212,9,0],[1,6212,6216,9,0],[1,6216,6220,9,0],[1,6220,6224,9,0],[1,6224,6228,9,0],[1,6228,6232,9,0],[1,6232,6236,9,0],[1,6236,6240,9,0],[1,6240,6244,9,0],[1,6244,6248,9,0],[1,6248,6252,9,0],[1,6252,6256,9,0],[1,6256,6260,9,0],[1,6260,6264,9,0],[1,6264,6268,9,0],[1,6268,6272,9,0]],[[0,68,132,10,0],[1,93,157,10,0],[0,132,196,10,0],[1,157,221,10,0],[0,196,260,10,0],[1,221,285,10,0],[0,260,324,10,0],[1,285,349,10,0],[0,324,328,10,0],[0,328,332,10,0],[0,332,336,10,0],[0,336,340,10,0],[0,340,344,10,0],[0,344,348,10,0],[1,349,353,10,0],[1,353,357,10,0],[0,354,358,10,0],[1,357,361,10,0],[0,358,362,10,0],[1,361,365,10,0],[1,365,369,10,0],[1,369,373,10,0],[1,379,383,10,0],[1,383,387,10,0],[1,387,451,10,0],[1,451,515,10,0],[1,515,579,10,0],[1,579,643,10,0],[1,643,647,10,0],[1,647,651,10,0],[1,651,655,10,0],[1,655,659,10,0],[1,659,663,10,0],[1,663,667,10,0],[1,668,672,10,0],[1,672,676,10,0],[1,676,740,10,0],[1,740,804,10,0],[1,804,868,10,0],[1,868,932,10,0],[1,932,936,10,0],[1,936,940,10,0],[1,940,944,10,0],[1,944,948,10,0],[1,948,952,10,0],[1,952,956,10,0],[1,957,961,10,0],[1,961,965,10,0],[1,973,1037,10,0],[1,1037,1101,10,0],[1,1101,1165,10,0],[1,1165,1229,10,0],[1,1229,1233,10,0],[1,1233,1237,10,0],[1,1237,1241,10,0],[1,1241,1245,10,0],[1,1245,1249,10,0],[1,1249,1253,10,0],[1,1254,1258,10,0],[1,1258,1262,10,0],[1,1262,1326,10,0],[1,1326,1390,10,0],[1,1390,1454,10,0],[1,1454,1518,10,0],[1,1518,1522,10,0],[1,1522,1526,10,0],[1,1526,1530,10,0],[1,1530,1534,10,0],[1,1534,1538,10,0],[1,1538,1542,10,0],[1,1543,1547,10,0],[1,1547,1551,10,0],[1,1551,1615,10,0],[1,1615,1679,10,0],[1,1679,1743,10,0],[1,1743,1807,10,0],[1,1807,1811,10,0],[1,1811,1815,10,0],[1,1815,1819,10,0],[1,1819,1823,10,0],[1,1823,1827,10,0],[1,1827,1831,10,0],[1,1832,1836,10,0],[1,1836,1840,10,0],[1,1841,1905,10,0],[1,1905,1969,10,0],[1,1969,2033,10,0],[1,2033,2097,10,0],[1,2097,2101,10,0],[1,2101,2105,10,0],[1,2105,2109,10,0],[1,2109,2113,10,0],[1,2113,2117,10,0],[1,2117,2121,10,0],[1,2122,2126,10,0],[1,2127,2131,10,0],[1,2131,2195,10,0],[1,2195,2259,10,0],[1,2259,2323,10,0],[1,2323,2387,10,0],[1,2387,2391,10,0],[1,2391,2395,10,0],[1,2395,2399,10,0],[1,2399,2403,10,0],[1,2403,2407,10,0],[1,2407,2411,10,0],[1,2412,2416,10,0],[1,2416,2420,10,0],[1,2420,2484,10,0],[1,2484,2548,10,0],[1,2548,2612,10,0],[1,2612,2676,10,0],[1,2676,2680,10,0],[1,2680,2684,10,0],[1,2684,2688,10,0],[1,2688,2692,10,0],[1,2692,2696,10,0],[1,2696,2700,10,0],[1,2701,2705,10,0],[1,2705,2709,10,0],[1,2717,2781,10,0],[1,2781,2845,10,0],[1,2845,2909,10,0],[1,2909,2973,10,0],[1,2973,2977,10,0],[1,2977,2981,10,0],[1,2981,2985,10,0],[1,2985,2989,10,0],[1,2989,2993,10,0],[1,2993,2997,10,0],[1,2998,3002,10,0],[1,3002,3006,10,0],[1,3006,3014,10,0],[1,3014,3022,10,0],[1,3023,3031,10,0],[1,3037,3045,10,0],[1,3045,3049,10,0],[0,3307,3435,9,0],[1,3332,3460,9,0],[0,3435,3563,9,0],[1,3460,3588,9,0],[0,3563,3691,9,0],[1,3588,3716,9,0],[0,3691,3819,9,0],[1,3716,3844,9,0],[1,3844,3972,9,0],[1,3972,4100,9,0],[1,4100,4228,9,0],[1,4228,4356,9,0],[1,4356,4484,9,0],[1,4484,4612,9,0],[1,4612,4740,9,0],[1,4740,4868,9,0],[1,4876,5004,9,0],[1,5004,5132,9,0],[1,5132,5260,9,0],[1,5260,5388,9,0],[1,5388,5392,9,0],[1,5392,5396,9,0],[1,5396,5400,9,0],[1,5400,5404,9,0],[1,5404,5408,9,0],[1,5408,5412,9,0],[1,5412,5416,9,0],[1,5416,5420,9,0],[1,5420,5424,9,0],[1,5424,5428,9,0],[1,5428,5432,9,0],[1,5432,5436,9,0],[1,5436,5440,9,0],[1,5440,5444,9,0],[1,5444,5448,9,0],[1,5448,5452,9,0],[1,5452,5456,9,0],[1,5456,5460,9,0],[1,5460,5464,9,0],[1,5464,5468,9,0],[1,5468,5472,9,0],[1,5472,5476,9,0],[1,5476,5480,9,0],[1,5480,5484,9,0],[1,5484,5488,9,0],[1,5488,5492,9,0],[1,5492,5496,9,0],[1,5496,5500,9,0],[1,5500,5504,9,0],[1,5504,5508,9,0],[1,5508,5512,9,0],[1,5512,5516,9,0],[1,5516,5520,9,0],[1,5520,5524,9,0],[1,5524,5528,9,0],[1,5528,5532,9,0],[1,5532,5536,9,0],[1,5536,5540,9,0],[1,5540,5544,9,0],[1,5544,5548,9,0],[1,5548,5552,9,0],[1,5552,5556,9,0],[1,5556,5560,9,0],[1,5560,5564,9,0],[1,5564,5568,9,0],[1,5568,5572,9,0],[1,5572,5576,9,0],[1,5576,5580,9,0],[1,5580,5584,9,0],[1,5584,5588,9,0],[1,5588,5592,9,0],[1,5592,5596,9,0],[1,5596,5600,9,0],[1,5600,5604,9,0],[1,5604,5608,9,0],[1,5608,5612,9,0],[1,5612,5616,9,0],[1,5616,5620,9,0],[1,5620,5624,9,0],[1,5624,5628,9,0],[1,5628,5632,9,0],[1,5632,5636,9,0],[1,5636,5640,9,0],[1,5640,5644,9,0],[1,5644,5772,9,0],[1,5774,5902,9,0],[1,5902,6030,9,0],[1,6030,6158,9,0],[1,6170,6174,9,0],[1,6174,6178,9,0],[1,6178,6182,9,0],[1,6182,6186,9,0],[1,6186,6190,9,0],[1,6190,6194,9,0],[1,6194,6198,9,0],[1,6198,6202,9,0],[1,6202,6206,9,0],[1,6206,6210,9,0],[1,6210,6214,9,0],[1,6214,6218,9,0],[1,6218,6222,9,0],[1,6222,6226,9,0],[1,6226,6230,9,0],[1,6230,6234,9,0]],[[1,97,161,10,0],[1,161,225,10,0],[1,225,289,10,0],[1,289,353,10,0],[1,353,357,10,0],[1,357,361,10,0],[1,361,365,10,0],[1,365,369,10,0],[1,369,373,10,0],[1,373,377,10,0],[1,378,382,10,0],[1,382,386,10,0],[1,386,450,10,0],[1,450,514,10,0],[1,514,578,10,0],[1,578,642,10,0],[1,642,646,10,0],[1,646,650,10,0],[1,650,654,10,0],[1,654,658,10,0],[1,658,662,10,0],[1,662,666,10,0],[1,667,671,10,0],[1,671,675,10,0],[1,675,739,10,0],[1,739,803,10,0],[1,803,867,10,0],[1,867,931,10,0],[1,931,935,10,0],[1,935,939,10,0],[1,939,943,10,0],[1,943,947,10,0],[1,947,951,10,0],[1,951,955,10,0],[1,956,960,10,0],[1,960,964,10,0],[1,968,1032,10,0],[1,1032,1096,10,0],[1,1096,1160,10,0],[1,1160,1224,10,0],[1,1224,1228,10,0],[1,1228,1232,10,0],[1,1232,1236,10,0],[1,1236,1240,10,0],[1,1240,1244,10,0],[1,1244,1248,10,0],[1,1249,1253,10,0],[1,1253,1257,10,0],[1,1257,1321,10,0],[1,1321,1385,10,0],[1,1385,1449,10,0],[1,1449,1513,10,0],[1,1513,1517,10,0],[1,1517,1521,10,0],[1,1521,1525,10,0],[0,1522,1586,10,0],[1,1525,1529,10,0],[1,1529,1533,10,0],[1,1533,1537,10,0],[1,1538,1542,10,0],[1,1542,1546,10,0],[1,1547,1611,10,0],[0,1586,1650,10,0],[1,1611,1675,10,0],[0,1650,1714,10,0],[1,1675,1739,10,0],[0,1714,1778,10,0],[1,1739,1803,10,0],[0,1778,1782,10,0],[0,1782,1786,10,0],[0,1786,1790,10,0],[0,1790,1794,10,0],[0,1794,1798,10,0],[0,1798,1802,10,0],[1,1803,1807,10,0],[0,1804,1808,10,0],[1,1807,1811,10,0],[0,1808,1812,10,0],[1,1811,1815,10,0],[1,1815,1819,10,0],[1,1819,1823,10,0],[1,1823,1827,10,0],[1,1829,1833,10,0],[1,1833,1837,10,0],[1,1837,1901,10,0],[1,1901,1965,10,0],[1,1965,2029,10,0],[1,2029,2093,10,0],[1,2093,2097,10,0],[1,2097,2101,10,0],[1,2101,2105,10,0],[1,2105,2109,10,0],[1,2109,2113,10,0],[1,2113,2117,10,0],[1,2118,2122,10,0],[1,2122,2126,10,0],[1,2126,2190,10,0],[1,2190,2254,10,0],[1,2254,2318,10,0],[1,2318,2382,10,0],[1,2382,2386,10,0],[1,2386,2390,10,0],[1,2390,2394,10,0],[1,2394,2398,10,0],[1,2398,2402,10,0],[1,2402,2406,10,0],[1,2407,2411,10,0],[1,2411,2415,10,0],[1,2423,2487,10,0],[1,2490,2554,10,0],[1,2554,2618,10,0],[1,2618,2682,10,0],[1,2682,2686,10,0],[1,2688,2692,10,0],[1,2692,2696,10,0],[1,2696,2700,10,0],[1,2700,2704,10,0],[1,2704,2708,10,0],[1,2708,2712,10,0],[1,2713,2717,10,0],[1,2717,2781,10,0],[1,2781,2845,10,0],[1,2845,2909,10,0],[1,2909,2973,10,0],[1,2973,2977,10,0],[1,2977,2981,10,0],[1,2981,2985,10,0],[1,2985,2989,10,0],[1,2989,2993,10,0],[1,2993,2997,10,0],[1,2998,3002,10,0],[1,3002,3006,10,0],[1,3014,3022,10,0],[1,3027,3035,10,0],[1,3036,3044,10,0],[1,3044,3052,10,0],[1,3052,3056,10,0],[0,3315,3443,9,0],[1,3354,3482,9,0],[0,3443,3571,9,0],[1,3482,3610,9,0],[0,3571,3699,9,0],[1,3610,3738,9,0],[1,3750,3878,9,0],[1,3878,4006,9,0],[1,4006,4134,9,0],[1,4134,4262,9,0],[1,4262,4390,9,0],[1,4390,4518,9,0],[1,4518,4646,9,0],[1,4646,4774,9,0],[1,4774,4902,9,0],[1,4904,4908,9,0],[1,4908,4912,9,0],[1,4912,4916,9,0],[1,4916,4920,9,0],[1,4920,4924,9,0],[1,4924,4928,9,0],[1,4928,4932,9,0],[1,4932,4936,9,0],[1,4936,4940,9,0],[1,4940,4944,9,0],[1,4944,4948,9,0],[1,4948,4952,9,0],[1,4952,4956,9,0],[1,4956,4960,9,0],[1,4960,4964,9,0],[1,4964,4968,9,0],[1,4968,4972,9,0],[1,4972,4976,9,0],[1,4976,4980,9,0],[1,4980,4984,9,0],[1,4984,4988,9,0],[1,4988,4992,9,0],[1,4992,4996,9,0],[1,4996,5000,9,0],[1,5000,5004,9,0],[1,5004,5008,9,0],[1,5008,5012,9,0],[1,5015,5019,9,0],[1,5019,5023,9,0],[1,5023,5027,9,0],[1,5027,5031,9,0],[1,5031,5035,9,0],[1,5035,5039,9,0],[1,5039,5043,9,0],[1,5043,5047,9,0],[1,5047,5051,9,0],[1,5051,5055,9,0],[1,5055,5059,9,0],[1,5059,5063,9,0],[1,5063,5067,9,0],[1,5069,5073,9,0],[1,5073,5077,9,0],[1,5077,5081,9,0],[1,5081,5085,9,0],[1,5085,5089,9,0],[1,5089,5093,9,0],[1,5093,5097,9,0],[1,5097,5101,9,0],[1,5104,5232,9,0],[1,5232,5360,9,0],[1,5360,5488,9,0],[1,5488,5616,9,0],[0,5619,5747,9,0],[1,5628,5756,9,0],[1,5756,5884,9,0],[1,5884,6012,9,0],[1,6012,6140,9,0],[1,6140,6144,9,0],[1,6144,6148,9,0],[1,6148,6152,9,0],[1,6152,6156,9,0],[1,6156,6160,9,0],[1,6160,6164,9,0],[1,6164,6168,9,0],[1,6168,6172,9,0],[1,6172,6176,9,0],[1,6176,6180,9,0],[1,6180,6184,9,0],[1,6184,6188,9,0],[1,6188,6192,9,0],[1,6192,6196,9,0],[1,6196,6200,9,0],[1,6200,6204,9,0],[1,6204,6208,9,0],[1,6208,6212,9,0],[1,6212,6216,9,0],[1,6216,6220,9,0],[1,6220,6224,9,0],[1,6224,6228,9,0],[1,6228,6232,9,0],[1,6232,6236,9,0],[1,6236,6240,9,0],[1,6240,6244,9,0],[1,6244,6248,9,0],[1,6248,6252,9,0],[1,6252,6256,9,0],[1,6256,6260,9,0],[1,6260,6264,9,0],[1,6264,6268,9,0]],[[1,98,162,10,0],[1,162,226,10,0],[1,226,290,10,0],[1,290,354,10,0],[1,354,358,10,0],[1,358,362,10,0],[1,362,366,10,0],[1,366,370,10,0],[1,370,374,10,0],[1,374,378,10,0],[1,380,384,10,0],[1,384,388,10,0],[1,388,452,10,0],[1,452,516,10,0],[1,516,580,10,0],[1,580,644,10,0],[1,644,648,10,0],[1,648,652,10,0],[1,652,656,10,0],[1,656,660,10,0],[1,660,664,10,0],[1,664,668,10,0],[1,670,674,10,0],[1,674,678,10,0],[1,678,742,10,0],[1,743,807,10,0],[1,807,871,10,0],[1,871,935,10,0],[1,935,939,10,0],[1,940,944,10,0],[1,944,948,10,0],[1,948,952,10,0],[1,952,956,10,0],[1,956,960,10,0],[1,961,965,10,0],[1,966,970,10,0],[1,972,1036,10,0],[1,1036,1100,10,0],[1,1100,1164,10,0],[1,1164,1228,10,0],[1,1228,1232,10,0],[1,1232,1236,10,0],[1,1236,1240,10,0],[1,1240,1244,10,0],[1,1244,1248,10,0],[1,1248,1252,10,0],[1,1254,1258,10,0],[1,1258,1262,10,0],[1,1262,1326,10,0],[1,1326,1390,10,0],[1,1390,1454,10,0],[1,1454,1518,10,0],[1,1518,1522,10,0],[1,1522,1526,10,0],[1,1526,1530,10,0],[0,1528,1592,10,0],[1,1530,1534,10,0],[1,1534,1538,10,0],[1,1538,1542,10,0],[1,1544,1548,10,0],[1,1548,1552,10,0],[1,1552,1616,10,0],[0,1592,1656,10,0],[1,1616,1680,10,0],[0,1656,1720,10,0],[1,1680,1744,10,0],[0,1720,1784,10,0],[1,1744,1808,10,0],[0,1784,1788,10,0],[0,1788,1792,10,0],[0,1792,1796,10,0],[0,1796,1800,10,0],[0,1800,1804,10,0],[0,1804,1808,10,0],[1,1808,1812,10,0],[0,1810,1814,10,0],[1,1812,1816,10,0],[0,1814,1818,10,0],[1,1816,1820,10,0],[1,1820,1824,10,0],[1,1824,1828,10,0],[1,1828,1832,10,0],[1,1834,1838,10,0],[1,1838,1842,10,0],[1,1842,1906,10,0],[1,1906,1970,10,0],[1,1970,2034,10,0],[1,2034,2098,10,0],[1,2098,2102,10,0],[1,2102,2106,10,0],[1,2106,2110,10,0],[1,2110,2114,10,0],[1,2114,2118,10,0],[1,2118,2122,10,0],[1,2124,2128,10,0],[1,2128,2132,10,0],[1,2132,2196,10,0],[1,2196,2260,10,0],[1,2260,2324,10,0],[1,2324,2388,10,0],[1,2388,2392,10,0],[1,2392,2396,10,0],[1,2396,2400,10,0],[1,2400,2404,10,0],[1,2404,2408,10,0],[1,2408,2412,10,0],[1,2414,2418,10,0],[1,2418,2422,10,0],[1,2430,2494,10,0],[1,2494,2558,10,0],[1,2558,2622,10,0],[1,2622,2686,10,0],[1,2686,2690,10,0],[1,2690,2694,10,0],[1,2694,2698,10,0],[1,2698,2702,10,0],[1,2702,2706,10,0],[1,2706,2710,10,0],[1,2713,2717,10,0],[1,2717,2721,10,0],[1,2721,2785,10,0],[1,2785,2849,10,0],[1,2849,2913,10,0],[1,2913,2977,10,0],[1,2977,2981,10,0],[1,2981,2985,10,0],[1,2985,2989,10,0],[1,2989,2993,10,0],[1,2993,2997,10,0],[1,2997,3001,10,0],[1,3003,3007,10,0],[1,3007,3011,10,0],[1,3011,3019,10,0],[1,3033,3041,10,0],[1,3042,3050,10,0],[1,3050,3058,10,0],[1,3058,3062,10,0],[0,3313,3441,9,0],[1,3345,3473,9,0],[0,3441,3569,9,0],[1,3473,3601,9,0],[0,3569,3697,9,0],[1,3601,3729,9,0],[1,3741,3869,9,0],[1,3869,3997,9,0],[1,3997,4125,9,0],[1,4125,4253,9,0],[1,4253,4381,9,0],[1,4381,4509,9,0],[1,4509,4637,9,0],[1,4637,4765,9,0],[1,4765,4893,9,0],[1,4895,4899,9,0],[1,4899,4903,9,0],[1,4903,4907,9,0],[1,4907,4911,9,0],[1,4913,4917,9,0],[1,4917,4921,9,0],[1,4921,4925,9,0],[1,4925,4929,9,0],[1,4929,4933,9,0],[1,4933,4937,9,0],[1,4937,4941,9,0],[1,4941,4945,9,0],[1,4945,4949,9,0],[1,4949,4953,9,0],[1,4953,4957,9,0],[1,4957,4961,9,0],[1,4961,4965,9,0],[1,4965,4969,9,0],[1,4969,4973,9,0],[1,4973,4977,9,0],[1,4977,4981,9,0],[1,4981,4985,9,0],[1,4985,4989,9,0],[1,4989,4993,9,0],[1,4993,4997,9,0],[1,4997,5001,9,0],[1,5001,5005,9,0],[1,5005,5009,9,0],[1,5009,5013,9,0],[1,5013,5017,9,0],[1,5017,5021,9,0],[1,5021,5025,9,0],[1,5025,5029,9,0],[1,5029,5033,9,0],[1,5033,5037,9,0],[1,5037,5041,9,0],[1,5041,5045,9,0],[1,5045,5049,9,0],[1,5049,5053,9,0],[1,5053,5057,9,0],[1,5057,5061,9,0],[1,5061,5065,9,0],[1,5065,5069,9,0],[1,5069,5073,9,0],[1,5073,5077,9,0],[1,5077,5081,9,0],[1,5081,5085,9,0],[1,5085,5089,9,0],[1,5090,5218,9,0],[1,5218,5346,9,0],[1,5347,5475,9,0],[1,5475,5603,9,0],[1,5617,5745,9,0],[0,5618,5746,9,0],[1,5745,5873,9,0],[1,5873,6001,9,0],[1,6001,6129,9,0],[1,6129,6133,9,0],[1,6133,6137,9,0],[1,6137,6141,9,0],[1,6141,6145,9,0],[1,6145,6149,9,0],[1,6149,6153,9,0],[1,6153,6157,9,0],[1,6157,6161,9,0],[1,6161,6165,9,0],[1,6165,6169,9,0],[1,6169,6173,9,0],[1,6173,6177,9,0],[1,6177,6181,9,0],[1,6181,6185,9,0],[1,6185,6189,9,0],[1,6189,6193,9,0],[1,6193,6197,9,0],[1,6197,6201,9,0],[1,6201,6205,9,0],[1,6205,6209,9,0],[1,6209,6213,9,0],[1,6213,6217,9,0],[1,6217,6221,9,0],[1,6221,6225,9,0],[1,6225,6229,9,0],[1,6229,6233,9,0],[1,6233,6237,9,0],[1,6237,6241,9,0],[1,6241,6245,9,0],[1,6245,6249,9,0],[1,6249,6253,9,0],[1,6253,6257,9,0]],[[1,98,154,10,0],[1,154,210,10,0],[1,210,266,10,0],[1,266,322,10,0],[1,322,326,10,0],[1,326,330,10,0],[1,330,334,10,0],[0,332,396,10,0],[1,334,338,10,0],[1,338,342,10,0],[1,342,346,10,0],[1,349,353,10,0],[1,356,420,10,0],[0,396,460,10,0],[1,420,484,10,0],[0,460,524,10,0],[1,484,548,10,0],[0,524,588,10,0],[1,548,612,10,0],[0,588,592,10,0],[0,592,596,10,0],[0,596,600,10,0],[0,600,604,10,0],[0,604,608,10,0],[0,608,612,10,0],[1,612,616,10,0],[0,614,618,10,0],[1,616,620,10,0],[0,618,622,10,0],[1,620,624,10,0],[1,624,628,10,0],[1,628,632,10,0],[1,632,636,10,0],[1,638,642,10,0],[1,642,646,10,0],[1,646,710,10,0],[1,710,774,10,0],[1,774,838,10,0],[1,838,902,10,0],[1,902,906,10,0],[1,906,910,10,0],[1,910,914,10,0],[1,914,918,10,0],[1,918,922,10,0],[1,922,926,10,0],[1,928,932,10,0],[1,932,936,10,0],[1,936,1000,10,0],[1,1000,1064,10,0],[1,1064,1128,10,0],[1,1128,1192,10,0],[1,1192,1196,10,0],[1,1196,1200,10,0],[1,1200,1204,10,0],[1,1204,1208,10,0],[1,1208,1212,10,0],[1,1212,1216,10,0],[1,1218,1222,10,0],[1,1222,1226,10,0],[1,1240,1304,10,0],[1,1304,1368,10,0],[1,1368,1432,10,0],[1,1432,1496,10,0],[1,1496,1500,10,0],[1,1501,1505,10,0],[1,1505,1509,10,0],[1,1509,1513,10,0],[1,1513,1517,10,0],[1,1517,1521,10,0],[1,1522,1526,10,0],[1,1527,1531,10,0],[1,1531,1595,10,0],[1,1595,1659,10,0],[1,1659,1723,10,0],[1,1723,1787,10,0],[1,1787,1791,10,0],[1,1791,1795,10,0],[1,1795,1799,10,0],[1,1799,1803,10,0],[1,1803,1807,10,0],[1,1807,1811,10,0],[1,1813,1817,10,0],[1,1817,1821,10,0],[1,1821,1885,10,0],[1,1885,1949,10,0],[1,1949,2013,10,0],[1,2013,2077,10,0],[1,2077,2081,10,0],[1,2081,2085,10,0],[1,2085,2089,10,0],[1,2089,2093,10,0],[1,2093,2097,10,0],[1,2097,2101,10,0],[1,2103,2107,10,0],[1,2107,2111,10,0],[1,2112,2176,10,0],[1,2176,2240,10,0],[1,2240,2304,10,0],[1,2304,2368,10,0],[1,2368,2372,10,0],[1,2372,2376,10,0],[1,2376,2380,10,0],[1,2380,2384,10,0],[1,2384,2388,10,0],[1,2388,2392,10,0],[1,2395,2399,10,0],[1,2399,2403,10,0],[1,2403,2467,10,0],[1,2467,2531,10,0],[1,2531,2595,10,0],[1,2595,2659,10,0],[1,2659,2663,10,0],[1,2663,2667,10,0],[1,2667,2671,10,0],[1,2671,2675,10,0],[1,2675,2679,10,0],[1,2679,2683,10,0],[1,2685,2689,10,0],[1,2689,2693,10,0],[1,2693,2757,10,0],[1,2757,2821,10,0],[1,2821,2885,10,0],[1,2885,2949,10,0],[1,2949,2953,10,0],[1,2953,2957,10,0],[1,2957,2961,10,0],[1,2961,2965,10,0],[1,2965,2969,10,0],[1,2969,2973,10,0],[1,2975,2979,10,0],[1,2979,2983,10,0],[1,2985,3001,10,0],[1,3002,3018,10,0],[1,3018,3034,10,0],[1,3034,3050,10,0],[1,3051,3055,10,0],[1,3055,3059,10,0],[1,3344,3472,9,0],[1,3472,3600,9,0],[0,3578,3706,9,0],[1,3600,3728,9,0],[0,3706,3834,9,0],[1,3730,3858,9,0],[1,3858,3986,9,0],[1,3986,4114,9,0],[1,4114,4242,9,0],[1,4242,4370,9,0],[1,4370,4498,9,0],[1,4498,4626,9,0],[1,4626,4754,9,0],[1,4754,4882,9,0],[1,4884,4888,9,0],[1,4888,4892,9,0],[1,4892,4896,9,0],[1,4896,4900,9,0],[1,4900,4904,9,0],[1,4904,4908,9,0],[1,4908,4912,9,0],[1,4912,4916,9,0],[1,4916,4920,9,0],[1,4920,4924,9,0],[1,4924,4928,9,0],[1,4928,4932,9,0],[1,4932,4936,9,0],[1,4936,4940,9,0],[1,4940,4944,9,0],[1,4944,4948,9,0],[1,4948,4952,9,0],[1,4952,4956,9,0],[1,4956,4960,9,0],[1,4960,4964,9,0],[1,4967,4971,9,0],[1,4971,4975,9,0],[1,4975,4979,9,0],[1,4979,4983,9,0],[1,4983,4987,9,0],[1,4987,4991,9,0],[1,4991,4995,9,0],[1,4995,4999,9,0],[1,4999,5003,9,0],[1,5003,5007,9,0],[1,5007,5011,9,0],[1,5011,5015,9,0],[1,5015,5019,9,0],[1,5019,5023,9,0],[1,5023,5027,9,0],[1,5027,5031,9,0],[1,5031,5035,9,0],[1,5035,5039,9,0],[1,5039,5043,9,0],[1,5043,5047,9,0],[1,5047,5051,9,0],[1,5051,5055,9,0],[1,5055,5059,9,0],[1,5059,5063,9,0],[1,5063,5067,9,0],[1,5067,5071,9,0],[1,5071,5075,9,0],[1,5075,5079,9,0],[1,5079,5207,9,0],[1,5207,5335,9,0],[0,5311,5439,9,0],[1,5335,5463,9,0],[0,5439,5567,9,0],[1,5463,5591,9,0],[1,5593,5721,9,0],[1,5721,5849,9,0],[1,5849,5977,9,0],[1,5977,6105,9,0],[1,6117,6121,9,0],[1,6121,6125,9,0],[1,6125,6129,9,0],[1,6129,6133,9,0],[1,6133,6137,9,0],[1,6137,6141,9,0],[1,6141,6145,9,0],[1,6145,6149,9,0],[1,6149,6153,9,0],[1,6153,6157,9,0],[1,6157,6161,9,0],[1,6161,6165,9,0],[1,6165,6169,9,0],[1,6169,6173,9,0],[1,6173,6177,9,0],[1,6177,6181,9,0],[1,6181,6185,9,0],[1,6185,6189,9,0],[1,6189,6193,9,0],[1,6193,6197,9,0],[1,6197,6201,9,0],[1,6201,6205,9,0],[1,6206,6210,9,0],[1,6210,6214,9,0],[1,6214,6218,9,0],[1,6218,6222,9,0],[1,6222,6226,9,0],[1,6226,6230,9,0],[1,6230,6234,9,0],[1,6234,6238,9,0],[1,6238,6242,9,0],[1,6242,6246,9,0]],[[1,98,162,10,0],[1,162,226,10,0],[1,226,290,10,0],[1,290,354,10,0],[1,354,358,10,0],[1,358,362,10,0],[1,362,366,10,0],[1,366,370,10,0],[1,370,374,10,0],[1,374,378,10,0],[1,379,383,10,0],[1,383,387,10,0],[1,387,451,10,0],[1,451,515,10,0],[1,515,579,10,0],[1,579,643,10,0],[1,643,647,10,0],[1,647,651,10,0],[1,651,655,10,0],[1,655,659,10,0],[1,659,663,10,0],[1,663,667,10,0],[1,668,672,10,0],[1,672,676,10,0],[1,676,740,10,0],[1,743,807,10,0],[1,807,871,10,0],[1,871,935,10,0],[1,935,939,10,0],[1,941,945,10,0],[1,945,949,10,0],[1,949,953,10,0],[1,953,957,10,0],[1,957,961,10,0],[1,961,965,10,0],[1,966,970,10,0],[1,970,1034,10,0],[1,1034,1098,10,0],[1,1098,1162,10,0],[1,1162,1226,10,0],[1,1226,1230,10,0],[1,1230,1234,10,0],[1,1234,1238,10,0],[1,1238,1242,10,0],[1,1242,1246,10,0],[1,1246,1250,10,0],[1,1251,1255,10,0],[1,1255,1259,10,0],[1,1259,1323,10,0],[1,1323,1387,10,0],[1,1387,1451,10,0],[1,1451,1515,10,0],[1,1515,1519,10,0],[1,1519,1523,10,0],[1,1523,1527,10,0],[0,1524,1588,10,0],[1,1527,1531,10,0],[1,1531,1535,10,0],[1,1535,1539,10,0],[1,1540,1544,10,0],[1,1544,1548,10,0],[1,1549,1613,10,0],[0,1588,1652,10,0],[1,1613,1677,10,0],[0,1652,1716,10,0],[1,1677,1741,10,0],[0,1716,1780,10,0],[1,1741,1805,10,0],[0,1780,1784,10,0],[0,1784,1788,10,0],[0,1788,1792,10,0],[0,1792,1796,10,0],[0,1796,1800,10,0],[0,1800,1804,10,0],[1,1805,1809,10,0],[0,1806,1810,10,0],[1,1809,1813,10,0],[0,1810,1814,10,0],[1,1813,1817,10,0],[1,1817,1821,10,0],[1,1821,1825,10,0],[1,1825,1829,10,0],[1,1831,1835,10,0],[1,1835,1839,10,0],[1,1839,1903,10,0],[1,1903,1967,10,0],[1,1967,2031,10,0],[1,2031,2095,10,0],[1,2095,2099,10,0],[1,2099,2103,10,0],[1,2103,2107,10,0],[1,2107,2111,10,0],[1,2111,2115,10,0],[1,2115,2119,10,0],[1,2120,2124,10,0],[1,2124,2128,10,0],[1,2128,2192,10,0],[1,2192,2256,10,0],[1,2256,2320,10,0],[1,2320,2384,10,0],[1,2384,2388,10,0],[1,2388,2392,10,0],[1,2392,2396,10,0],[1,2396,2400,10,0],[1,2400,2404,10,0],[1,2404,2408,10,0],[1,2409,2413,10,0],[1,2413,2417,10,0],[1,2421,2485,10,0],[1,2485,2549,10,0],[1,2549,2613,10,0],[1,2613,2677,10,0],[1,2677,2681,10,0],[1,2681,2685,10,0],[1,2685,2689,10,0],[1,2689,2693,10,0],[1,2693,2697,10,0],[1,2697,2701,10,0],[1,2702,2706,10,0],[1,2706,2710,10,0],[1,2710,2774,10,0],[1,2774,2838,10,0],[1,2838,2902,10,0],[1,2902,2966,10,0],[1,2966,2970,10,0],[1,2970,2974,10,0],[1,2974,2978,10,0],[1,2978,2982,10,0],[1,2982,2986,10,0],[1,2986,2990,10,0],[1,2991,2995,10,0],[1,2995,2999,10,0],[1,3000,3008,10,0],[1,3012,3020,10,0],[1,3020,3028,10,0],[1,3028,3036,10,0],[1,3036,3040,10,0],[0,3298,3426,9,0],[1,3331,3459,9,0],[0,3426,3554,9,0],[1,3459,3587,9,0],[0,3554,3682,9,0],[1,3587,3715,9,0],[1,3727,3855,9,0],[1,3855,3983,9,0],[1,3983,4111,9,0],[1,4111,4239,9,0],[1,4239,4367,9,0],[1,4367,4495,9,0],[1,4495,4623,9,0],[1,4623,4751,9,0],[1,4751,4879,9,0],[1,4883,4887,9,0],[1,4887,4891,9,0],[1,4891,4895,9,0],[1,4895,4899,9,0],[1,4899,4903,9,0],[1,4903,4907,9,0],[1,4907,4911,9,0],[1,4911,4915,9,0],[1,4915,4919,9,0],[1,4919,4923,9,0],[1,4923,4927,9,0],[1,4927,4931,9,0],[1,4931,4935,9,0],[1,4935,4939,9,0],[1,4939,4943,9,0],[1,4943,4947,9,0],[1,4947,4951,9,0],[1,4951,4955,9,0],[1,4955,4959,9,0],[1,4959,4963,9,0],[1,4963,4967,9,0],[1,4967,4971,9,0],[1,4971,4975,9,0],[1,4975,4979,9,0],[1,4979,4983,9,0],[1,4983,4987,9,0],[1,4987,4991,9,0],[1,4991,4995,9,0],[1,4995,4999,9,0],[1,4999,5003,9,0],[1,5003,5007,9,0],[1,5007,5011,9,0],[1,5011,5015,9,0],[1,5015,5019,9,0],[1,5019,5023,9,0],[1,5023,5027,9,0],[1,5027,5031,9,0],[1,5031,5035,9,0],[1,5035,5039,9,0],[1,5039,5043,9,0],[1,5043,5047,9,0],[1,5047,5051,9,0],[1,5051,5055,9,0],[1,5055,5059,9,0],[1,5059,5063,9,0],[1,5063,5067,9,0],[1,5067,5071,9,0],[1,5071,5075,9,0],[1,5077,5205,9,0],[1,5205,5333,9,0],[1,5333,5461,9,0],[1,5461,5589,9,0],[1,5601,5729,9,0],[0,5604,5732,9,0],[1,5729,5857,9,0],[1,5857,5985,9,0],[1,5985,6113,9,0],[1,6113,6117,9,0],[1,6117,6121,9,0],[1,6121,6125,9,0],[1,6125,6129,9,0],[1,6129,6133,9,0],[1,6133,6137,9,0],[1,6137,6141,9,0],[1,6141,6145,9,0],[1,6145,6149,9,0],[1,6149,6153,9,0],[1,6153,6157,9,0],[1,6157,6161,9,0],[1,6161,6165,9,0],[1,6165,6169,9,0],[1,6169,6173,9,0],[1,6173,6177,9,0],[1,6177,6181,9,0],[1,6181,6185,9,0],[1,6185,6189,9,0],[1,6189,6193,9,0],[1,6193,6197,9,0],[1,6197,6201,9,0],[1,6201,6205,9,0],[1,6205,6209,9,0],[1,6209,6213,9,0],[1,6213,6217,9,0],[1,6217,6221,9,0],[1,6221,6225,9,0],[1,6225,6229,9,0],[1,6229,6233,9,0],[1,6233,6237,9,0],[1,6237,6241,9,0]],[[1,100,156,10,0],[1,156,212,10,0],[1,212,268,10,0],[1,268,324,10,0],[1,324,328,10,0],[1,328,332,10,0],[0,329,393,10,0],[1,332,336,10,0],[1,336,340,10,0],[1,340,344,10,0],[1,344,348,10,0],[1,349,353,10,0],[1,354,418,10,0],[0,393,457,10,0],[1,418,482,10,0],[0,457,521,10,0],[1,482,546,10,0],[0,521,585,10,0],[1,546,610,10,0],[0,585,589,10,0],[0,589,593,10,0],[0,593,597,10,0],[0,597,601,10,0],[0,601,605,10,0],[0,605,609,10,0],[1,610,614,10,0],[0,611,615,10,0],[1,614,618,10,0],[0,615,619,10,0],[1,618,622,10,0],[1,622,626,10,0],[1,626,630,10,0],[1,630,634,10,0],[1,636,640,10,0],[1,640,644,10,0],[1,644,708,10,0],[1,708,772,10,0],[1,772,836,10,0],[1,836,900,10,0],[1,900,904,10,0],[1,904,908,10,0],[1,908,912,10,0],[1,912,916,10,0],[1,916,920,10,0],[1,920,924,10,0],[1,925,929,10,0],[1,929,933,10,0],[1,933,997,10,0],[1,997,1061,10,0],[1,1061,1125,10,0],[1,1125,1189,10,0],[1,1189,1193,10,0],[1,1193,1197,10,0],[1,1197,1201,10,0],[1,1201,1205,10,0],[1,1205,1209,10,0],[1,1209,1213,10,0],[1,1214,1218,10,0],[1,1218,1222,10,0],[1,1234,1298,10,0],[1,1298,1362,10,0],[1,1362,1426,10,0],[1,1426,1490,10,0],[1,1490,1494,10,0],[1,1497,1501,10,0],[1,1501,1505,10,0],[1,1505,1509,10,0],[1,1509,1513,10,0],[1,1515,1519,10,0],[1,1519,1523,10,0],[1,1523,1527,10,0],[1,1527,1591,10,0],[1,1591,1655,10,0],[1,1655,1719,10,0],[1,1719,1783,10,0],[1,1783,1787,10,0],[1,1787,1791,10,0],[1,1791,1795,10,0],[1,1795,1799,10,0],[1,1799,1803,10,0],[1,1803,1807,10,0],[1,1808,1812,10,0],[1,1812,1816,10,0],[1,1816,1880,10,0],[1,1880,1944,10,0],[1,1944,2008,10,0],[1,2008,2072,10,0],[1,2072,2076,10,0],[1,2076,2080,10,0],[1,2080,2084,10,0],[1,2084,2088,10,0],[1,2088,2092,10,0],[1,2092,2096,10,0],[1,2097,2101,10,0],[1,2101,2105,10,0],[1,2105,2169,10,0],[1,2169,2233,10,0],[1,2233,2297,10,0],[1,2297,2361,10,0],[1,2361,2365,10,0],[1,2365,2369,10,0],[1,2369,2373,10,0],[1,2373,2377,10,0],[1,2377,2381,10,0],[1,2381,2385,10,0],[1,2386,2390,10,0],[1,2390,2394,10,0],[1,2394,2458,10,0],[1,2458,2522,10,0],[1,2522,2586,10,0],[1,2586,2650,10,0],[1,2650,2654,10,0],[1,2654,2658,10,0],[1,2658,2662,10,0],[1,2662,2666,10,0],[1,2666,2670,10,0],[1,2670,2674,10,0],[1,2675,2679,10,0],[1,2679,2683,10,0],[1,2683,2747,10,0],[1,2747,2811,10,0],[1,2811,2875,10,0],[1,2875,2939,10,0],[1,2939,2943,10,0],[1,2943,2947,10,0],[1,2947,2951,10,0],[1,2951,2955,10,0],[1,2955,2959,10,0],[1,2959,2963,10,0],[1,2964,2968,10,0],[1,2968,2972,10,0],[1,2976,2992,10,0],[1,2992,3008,10,0],[1,3008,3024,10,0],[1,3024,3040,10,0],[1,3040,3044,10,0],[1,3044,3048,10,0],[1,3334,3462,9,0],[1,3462,3590,9,0],[0,3567,3695,9,0],[1,3590,3718,9,0],[0,3695,3823,9,0],[1,3720,3848,9,0],[1,3848,3976,9,0],[1,3976,4104,9,0],[1,4104,4232,9,0],[1,4232,4360,9,0],[1,4360,4488,9,0],[1,4488,4616,9,0],[1,4616,4744,9,0],[1,4744,4872,9,0],[1,4876,4880,9,0],[1,4880,4884,9,0],[1,4884,4888,9,0],[1,4888,4892,9,0],[1,4892,4896,9,0],[1,4896,4900,9,0],[1,4900,4904,9,0],[1,4904,4908,9,0],[1,4908,4912,9,0],[1,4912,4916,9,0],[1,4916,4920,9,0],[1,4920,4924,9,0],[1,4924,4928,9,0],[1,4928,4932,9,0],[1,4932,4936,9,0],[1,4936,4940,9,0],[1,4940,4944,9,0],[1,4946,4950,9,0],[1,4950,4954,9,0],[1,4954,4958,9,0],[1,4958,4962,9,0],[1,4962,4966,9,0],[1,4966,4970,9,0],[1,4970,4974,9,0],[1,4974,4978,9,0],[1,4978,4982,9,0],[1,4982,4986,9,0],[1,4986,4990,9,0],[1,4990,4994,9,0],[1,4994,4998,9,0],[1,4998,5002,9,0],[1,5002,5006,9,0],[1,5006,5010,9,0],[1,5010,5014,9,0],[1,5014,5018,9,0],[1,5018,5022,9,0],[1,5022,5026,9,0],[1,5026,5030,9,0],[1,5030,5034,9,0],[1,5034,5038,9,0],[1,5038,5042,9,0],[1,5042,5046,9,0],[1,5046,5050,9,0],[1,5050,5054,9,0],[1,5054,5058,9,0],[1,5058,5062,9,0],[1,5062,5066,9,0],[1,5066,5070,9,0],[1,5070,5198,9,0],[1,5198,5326,9,0],[0,5301,5429,9,0],[1,5326,5454,9,0],[0,5429,5557,9,0],[1,5454,5582,9,0],[1,5584,5712,9,0],[1,5712,5840,9,0],[1,5840,5968,9,0],[1,5968,6096,9,0],[1,6108,6112,9,0],[1,6112,6116,9,0],[1,6116,6120,9,0],[1,6120,6124,9,0],[1,6124,6128,9,0],[1,6128,6132,9,0],[1,6132,6136,9,0],[1,6136,6140,9,0],[1,6140,6144,9,0],[1,6144,6148,9,0],[1,6148,6152,9,0],[1,6152,6156,9,0],[1,6156,6160,9,0],[1,6160,6164,9,0],[1,6164,6168,9,0],[1,6168,6172,9,0],[1,6172,6176,9,0],[1,6176,6180,9,0],[1,6180,6184,9,0],[1,6184,6188,9,0],[1,6188,6192,9,0],[1,6192,6196,9,0],[1,6196,6200,9,0],[1,6200,6204,9,0],[1,6204,6208,9,0],[1,6208,6212,9,0],[1,6212,6216,9,0],[1,6217,6221,9,0],[1,6221,6225,9,0],[1,6225,6229,9,0],[1,6229,6233,9,0],[1,6233,6237,9,0]],[[1,91,147,10,0],[1,147,203,10,0],[1,203,259,10,0],[1,259,315,10,0],[1,315,319,10,0],[1,319,323,10,0],[0,321,385,10,0],[1,323,327,10,0],[1,327,331,10,0],[1,331,335,10,0],[1,335,339,10,0],[1,341,345,10,0],[1,345,409,10,0],[0,385,449,10,0],[1,409,473,10,0],[0,449,513,10,0],[1,473,537,10,0],[0,513,577,10,0],[1,537,601,10,0],[0,577,581,10,0],[0,581,585,10,0],[0,585,589,10,0],[0,589,593,10,0],[0,593,597,10,0],[0,597,601,10,0],[1,601,605,10,0],[0,603,607,10,0],[1,605,609,10,0],[0,607,611,10,0],[1,609,613,10,0],[1,613,617,10,0],[1,617,621,10,0],[1,621,625,10,0],[1,627,631,10,0],[1,631,635,10,0],[1,635,699,10,0],[1,699,763,10,0],[1,763,827,10,0],[1,827,891,10,0],[1,891,895,10,0],[1,895,899,10,0],[1,899,903,10,0],[1,903,907,10,0],[1,907,911,10,0],[1,911,915,10,0],[1,917,921,10,0],[1,921,925,10,0],[1,925,989,10,0],[1,989,1053,10,0],[1,1053,1117,10,0],[1,1117,1181,10,0],[1,1181,1185,10,0],[1,1185,1189,10,0],[1,1189,1193,10,0],[1,1193,1197,10,0],[1,1197,1201,10,0],[1,1201,1205,10,0],[1,1207,1211,10,0],[1,1211,1215,10,0],[1,1227,1291,10,0],[1,1291,1355,10,0],[1,1355,1419,10,0],[1,1419,1483,10,0],[1,1483,1487,10,0],[1,1487,1491,10,0],[1,1491,1495,10,0],[1,1495,1499,10,0],[1,1499,1503,10,0],[1,1503,1507,10,0],[1,1509,1513,10,0],[1,1513,1517,10,0],[1,1517,1581,10,0],[1,1581,1645,10,0],[1,1645,1709,10,0],[1,1709,1773,10,0],[1,1773,1777,10,0],[1,1777,1781,10,0],[1,1781,1785,10,0],[1,1785,1789,10,0],[1,1789,1793,10,0],[1,1793,1797,10,0],[1,1799,1803,10,0],[1,1803,1807,10,0],[1,1808,1872,10,0],[1,1872,1936,10,0],[1,1936,2000,10,0],[1,2000,2064,10,0],[1,2064,2068,10,0],[1,2068,2072,10,0],[1,2072,2076,10,0],[1,2076,2080,10,0],[1,2080,2084,10,0],[1,2084,2088,10,0],[1,2090,2094,10,0],[1,2094,2098,10,0],[1,2098,2162,10,0],[1,2162,2226,10,0],[1,2226,2290,10,0],[1,2290,2354,10,0],[1,2354,2358,10,0],[1,2358,2362,10,0],[1,2362,2366,10,0],[1,2366,2370,10,0],[1,2370,2374,10,0],[1,2374,2378,10,0],[1,2380,2384,10,0],[1,2384,2388,10,0],[1,2388,2452,10,0],[1,2452,2516,10,0],[1,2516,2580,10,0],[1,2580,2644,10,0],[1,2644,2648,10,0],[1,2648,2652,10,0],[1,2652,2656,10,0],[1,2656,2660,10,0],[1,2660,2664,10,0],[1,2664,2668,10,0],[1,2670,2674,10,0],[1,2674,2678,10,0],[1,2678,2742,10,0],[1,2742,2806,10,0],[1,2806,2870,10,0],[1,2870,2934,10,0],[1,2934,2938,10,0],[1,2938,2942,10,0],[1,2942,2946,10,0],[1,2946,2950,10,0],[1,2950,2954,10,0],[1,2954,2958,10,0],[1,2960,2964,10,0],[1,2964,2968,10,0],[1,2970,2986,10,0],[1,2986,3002,10,0],[1,3003,3019,10,0],[1,3019,3035,10,0],[1,3035,3039,10,0],[1,3041,3045,10,0],[1,3343,3471,9,0],[1,3471,3599,9,0],[0,3577,3705,9,0],[1,3599,3727,9,0],[0,3705,3833,9,0],[1,3729,3857,9,0],[1,3857,3985,9,0],[1,3985,4113,9,0],[1,4113,4241,9,0],[1,4241,4369,9,0],[1,4369,4497,9,0],[1,4498,4626,9,0],[1,4626,4754,9,0],[1,4754,4882,9,0],[1,4882,4886,9,0],[1,4886,4890,9,0],[1,4892,4896,9,0],[1,4896,4900,9,0],[1,4900,4904,9,0],[1,4904,4908,9,0],[1,4908,4912,9,0],[1,4912,4916,9,0],[1,4916,4920,9,0],[1,4920,4924,9,0],[1,4924,4928,9,0],[1,4928,4932,9,0],[1,4932,4936,9,0],[1,4939,4943,9,0],[1,4943,4947,9,0],[1,4947,4951,9,0],[1,4951,4955,9,0],[1,4955,4959,9,0],[1,4959,4963,9,0],[1,4963,4967,9,0],[1,4967,4971,9,0],[1,4971,4975,9,0],[1,4975,4979,9,0],[1,4979,4983,9,0],[1,4983,4987,9,0],[1,4987,4991,9,0],[1,4991,4995,9,0],[1,4995,4999,9,0],[1,4999,5003,9,0],[1,5003,5007,9,0],[1,5007,5011,9,0],[1,5011,5015,9,0],[1,5015,5019,9,0],[1,5022,5026,9,0],[1,5026,5030,9,0],[1,5030,5034,9,0],[1,5034,5038,9,0],[1,5038,5042,9,0],[1,5042,5046,9,0],[1,5046,5050,9,0],[1,5050,5054,9,0],[1,5054,5058,9,0],[1,5058,5062,9,0],[1,5062,5066,9,0],[1,5066,5070,9,0],[1,5070,5074,9,0],[1,5074,5078,9,0],[1,5078,5082,9,0],[1,5082,5210,9,0],[1,5210,5338,9,0],[0,5316,5444,9,0],[1,5340,5468,9,0],[0,5444,5572,9,0],[1,5468,5596,9,0],[1,5596,5724,9,0],[1,5724,5852,9,0],[1,5852,5980,9,0],[1,5980,6108,9,0],[1,6118,6122,9,0],[1,6122,6126,9,0],[1,6126,6130,9,0],[1,6130,6134,9,0],[1,6134,6138,9,0],[1,6138,6142,9,0],[1,6142,6146,9,0],[1,6146,6150,9,0],[1,6150,6154,9,0],[1,6154,6158,9,0],[1,6158,6162,9,0],[1,6162,6166,9,0],[1,6166,6170,9,0],[1,6170,6174,9,0],[1,6174,6178,9,0],[1,6178,6182,9,0],[1,6182,6186,9,0],[1,6186,6190,9,0],[1,6190,6194,9,0],[1,6194,6198,9,0],[1,6198,6202,9,0],[1,6202,6206,9,0],[1,6206,6210,9,0],[1,6210,6214,9,0],[1,6214,6218,9,0],[1,6218,6222,9,0],[1,6222,6226,9,0],[1,6226,6230,9,0],[1,6230,6234,9,0],[1,6234,6238,9,0],[1,6238,6242,9,0],[1,6242,6246,9,0]],[[1,99,155,10,0],[1,155,211,10,0],[1,211,267,10,0],[1,267,323,10,0],[1,323,327,10,0],[1,327,331,10,0],[1,331,335,10,0],[1,335,339,10,0],[1,339,343,10,0],[1,343,347,10,0],[1,350,354,10,0],[1,357,421,10,0],[1,421,485,10,0],[1,485,549,10,0],[1,549,613,10,0],[1,613,617,10,0],[1,617,621,10,0],[1,621,625,10,0],[1,625,629,10,0],[1,629,633,10,0],[1,633,637,10,0],[1,639,643,10,0],[1,643,647,10,0],[1,648,712,10,0],[1,712,776,10,0],[1,776,840,10,0],[1,840,904,10,0],[1,904,908,10,0],[1,908,912,10,0],[1,912,916,10,0],[1,916,920,10,0],[1,920,924,10,0],[1,924,928,10,0],[1,930,934,10,0],[1,934,938,10,0],[1,938,1002,10,0],[1,1002,1066,10,0],[1,1066,1130,10,0],[1,1130,1194,10,0],[1,1194,1198,10,0],[1,1198,1202,10,0],[1,1202,1206,10,0],[1,1206,1210,10,0],[1,1210,1214,10,0],[1,1214,1218,10,0],[1,1220,1224,10,0],[1,1224,1228,10,0],[1,1228,1292,10,0],[1,1292,1356,10,0],[1,1356,1420,10,0],[1,1420,1484,10,0],[1,1484,1488,10,0],[1,1488,1492,10,0],[1,1492,1496,10,0],[1,1496,1500,10,0],[1,1500,1504,10,0],[1,1504,1508,10,0],[1,1511,1515,10,0],[1,1515,1519,10,0],[1,1522,1586,10,0],[1,1586,1650,10,0],[1,1650,1714,10,0],[1,1714,1778,10,0],[1,1778,1782,10,0],[1,1782,1786,10,0],[1,1786,1790,10,0],[1,1790,1794,10,0],[1,1794,1798,10,0],[1,1798,1802,10,0],[1,1804,1808,10,0],[1,1808,1812,10,0],[1,1812,1876,10,0],[1,1876,1940,10,0],[1,1940,2004,10,0],[1,2004,2068,10,0],[1,2068,2072,10,0],[1,2072,2076,10,0],[1,2076,2080,10,0],[0,2078,2142,10,0],[1,2080,2084,10,0],[1,2084,2088,10,0],[1,2088,2092,10,0],[1,2094,2098,10,0],[1,2098,2102,10,0],[1,2102,2166,10,0],[0,2142,2206,10,0],[1,2166,2230,10,0],[0,2206,2270,10,0],[1,2230,2294,10,0],[0,2270,2334,10,0],[1,2294,2358,10,0],[0,2334,2338,10,0],[0,2338,2342,10,0],[0,2342,2346,10,0],[0,2346,2350,10,0],[0,2350,2354,10,0],[0,2354,2358,10,0],[1,2358,2362,10,0],[0,2360,2364,10,0],[1,2362,2366,10,0],[0,2364,2368,10,0],[1,2366,2370,10,0],[1,2370,2374,10,0],[1,2374,2378,10,0],[1,2378,2382,10,0],[1,2384,2388,10,0],[1,2388,2392,10,0],[1,2392,2456,10,0],[1,2456,2520,10,0],[1,2520,2584,10,0],[1,2584,2648,10,0],[1,2648,2652,10,0],[1,2652,2656,10,0],[1,2656,2660,10,0],[1,2660,2664,10,0],[1,2664,2668,10,0],[1,2668,2672,10,0],[1,2674,2678,10,0],[1,2678,2682,10,0],[1,2682,2746,10,0],[1,2746,2810,10,0],[1,2810,2874,10,0],[1,2874,2938,10,0],[1,2938,2942,10,0],[1,2942,2946,10,0],[1,2946,2950,10,0],[1,2950,2954,10,0],[1,2954,2958,10,0],[1,2958,2962,10,0],[1,2964,2968,10,0],[1,2968,2972,10,0],[1,2974,2990,10,0],[1,2996,3012,10,0],[1,3012,3028,10,0],[1,3028,3044,10,0],[1,3044,3048,10,0],[1,3048,3052,10,0],[1,3331,3459,9,0],[1,3459,3587,9,0],[0,3567,3695,9,0],[1,3589,3717,9,0],[1,3717,3845,9,0],[1,3845,3973,9,0],[1,3973,4101,9,0],[1,4111,4239,9,0],[1,4239,4367,9,0],[1,4367,4371,9,0],[1,4371,4375,9,0],[1,4375,4379,9,0],[1,4379,4383,9,0],[1,4383,4387,9,0],[1,4387,4391,9,0],[1,4391,4395,9,0],[1,4396,4400,9,0],[1,4400,4404,9,0],[1,4404,4408,9,0],[1,4408,4412,9,0],[1,4412,4416,9,0],[1,4416,4420,9,0],[1,4420,4424,9,0],[1,4424,4428,9,0],[1,4428,4432,9,0],[1,4432,4436,9,0],[1,4436,4440,9,0],[1,4440,4444,9,0],[1,4444,4448,9,0],[1,4448,4452,9,0],[1,4452,4456,9,0],[1,4456,4460,9,0],[1,4460,4464,9,0],[1,4464,4468,9,0],[1,4468,4472,9,0],[1,4472,4476,9,0],[1,4476,4480,9,0],[1,4480,4484,9,0],[1,4484,4488,9,0],[1,4488,4492,9,0],[1,4492,4496,9,0],[1,4496,4624,9,0],[1,4624,4752,9,0],[1,4768,4896,9,0],[1,4896,5024,9,0],[1,5024,5152,9,0],[1,5152,5280,9,0],[0,5250,5378,9,0],[1,5280,5408,9,0],[0,5378,5506,9,0],[1,5408,5536,9,0],[0,5506,5634,9,0],[1,5536,5540,9,0],[1,5540,5544,9,0],[1,5544,5548,9,0],[1,5548,5552,9,0],[1,5552,5556,9,0],[1,5556,5560,9,0],[1,5560,5564,9,0],[1,5564,5568,9,0],[1,5568,5572,9,0],[1,5572,5576,9,0],[1,5576,5580,9,0],[1,5580,5584,9,0],[1,5584,5588,9,0],[1,5588,5592,9,0],[1,5592,5596,9,0],[1,5596,5600,9,0],[1,5600,5604,9,0],[1,5604,5608,9,0],[1,5608,5612,9,0],[1,5612,5616,9,0],[1,5616,5620,9,0],[1,5620,5624,9,0],[1,5624,5628,9,0],[1,5628,5632,9,0],[1,5632,5636,9,0],[1,5636,5640,9,0],[1,5640,5644,9,0],[1,5644,5648,9,0],[1,5648,5652,9,0],[1,5652,5656,9,0],[1,5656,5660,9,0],[1,5660,5664,9,0]],[[1,93,149,10,0],[1,149,205,10,0],[1,205,261,10,0],[1,261,317,10,0],[1,317,321,10,0],[1,321,325,10,0],[0,322,386,10,0],[1,325,329,10,0],[1,329,333,10,0],[1,333,337,10,0],[1,337,341,10,0],[1,342,346,10,0],[1,347,411,10,0],[0,386,450,10,0],[1,411,475,10,0],[0,450,514,10,0],[1,475,539,10,0],[0,514,578,10,0],[1,539,603,10,0],[0,578,582,10,0],[0,582,586,10,0],[0,586,590,10,0],[0,590,594,10,0],[0,594,598,10,0],[0,598,602,10,0],[1,603,607,10,0],[0,604,608,10,0],[1,607,611,10,0],[0,608,612,10,0],[1,611,615,10,0],[1,615,619,10,0],[1,619,623,10,0],[1,623,627,10,0],[1,629,633,10,0],[1,633,637,10,0],[1,637,701,10,0],[1,701,765,10,0],[1,765,829,10,0],[1,829,893,10,0],[1,893,897,10,0],[1,897,901,10,0],[1,901,905,10,0],[1,905,909,10,0],[1,909,913,10,0],[1,913,917,10,0],[1,918,922,10,0],[1,922,926,10,0],[1,926,990,10,0],[1,990,1054,10,0],[1,1054,1118,10,0],[1,1118,1182,10,0],[1,1182,1186,10,0],[1,1186,1190,10,0],[1,1190,1194,10,0],[1,1194,1198,10,0],[1,1198,1202,10,0],[1,1202,1206,10,0],[1,1207,1211,10,0],[1,1211,1215,10,0],[1,1223,1287,10,0],[1,1287,1351,10,0],[1,1351,1415,10,0],[1,1415,1479,10,0],[1,1479,1483,10,0],[1,1483,1487,10,0],[1,1487,1491,10,0],[1,1491,1495,10,0],[1,1495,1499,10,0],[1,1499,1503,10,0],[1,1504,1508,10,0],[1,1508,1512,10,0],[1,1512,1576,10,0],[1,1576,1640,10,0],[1,1640,1704,10,0],[1,1704,1768,10,0],[1,1768,1772,10,0],[1,1772,1776,10,0],[1,1776,1780,10,0],[1,1780,1784,10,0],[1,1784,1788,10,0],[1,1788,1792,10,0],[1,1793,1797,10,0],[1,1797,1801,10,0],[1,1801,1865,10,0],[1,1865,1929,10,0],[1,1929,1993,10,0],[1,1993,2057,10,0],[1,2057,2061,10,0],[1,2061,2065,10,0],[1,2065,2069,10,0],[1,2069,2073,10,0],[1,2073,2077,10,0],[1,2077,2081,10,0],[1,2082,2086,10,0],[1,2086,2090,10,0],[1,2091,2155,10,0],[1,2155,2219,10,0],[1,2219,2283,10,0],[1,2283,2347,10,0],[1,2347,2351,10,0],[1,2351,2355,10,0],[1,2355,2359,10,0],[1,2359,2363,10,0],[1,2363,2367,10,0],[1,2367,2371,10,0],[1,2372,2376,10,0],[1,2377,2381,10,0],[1,2381,2445,10,0],[1,2445,2509,10,0],[1,2509,2573,10,0],[1,2573,2637,10,0],[1,2637,2641,10,0],[1,2641,2645,10,0],[1,2645,2649,10,0],[1,2649,2653,10,0],[1,2653,2657,10,0],[1,2657,2661,10,0],[1,2662,2666,10,0],[1,2666,2670,10,0],[1,2670,2734,10,0],[1,2734,2798,10,0],[1,2798,2862,10,0],[1,2862,2926,10,0],[1,2926,2930,10,0],[1,2930,2934,10,0],[1,2934,2938,10,0],[1,2938,2942,10,0],[1,2942,2946,10,0],[1,2946,2950,10,0],[1,2951,2955,10,0],[1,2955,2959,10,0],[1,2963,2979,10,0],[1,2981,2997,10,0],[1,2997,3013,10,0],[1,3013,3029,10,0],[1,3029,3033,10,0],[1,3033,3037,10,0],[1,3329,3457,9,0],[1,3457,3585,9,0],[0,3560,3688,9,0],[1,3585,3713,9,0],[0,3688,3816,9,0],[1,3715,3843,9,0],[1,3843,3971,9,0],[1,3971,4099,9,0],[1,4099,4227,9,0],[1,4227,4355,9,0],[1,4355,4483,9,0],[1,4485,4613,9,0],[1,4613,4741,9,0],[1,4741,4869,9,0],[1,4869,4873,9,0],[1,4873,4877,9,0],[1,4877,4881,9,0],[1,4882,4886,9,0],[1,4886,4890,9,0],[1,4890,4894,9,0],[1,4894,4898,9,0],[1,4898,4902,9,0],[1,4902,4906,9,0],[1,4906,4910,9,0],[1,4910,4914,9,0],[1,4914,4918,9,0],[1,4918,4922,9,0],[1,4922,4926,9,0],[1,4928,4932,9,0],[1,4932,4936,9,0],[1,4936,4940,9,0],[1,4940,4944,9,0],[1,4946,4950,9,0],[1,4950,4954,9,0],[1,4954,4958,9,0],[1,4958,4962,9,0],[1,4962,4966,9,0],[1,4966,4970,9,0],[1,4970,4974,9,0],[1,4974,4978,9,0],[1,4978,4982,9,0],[1,4982,4986,9,0],[1,4986,4990,9,0],[1,4990,4994,9,0],[1,4994,4998,9,0],[1,4998,5002,9,0],[1,5002,5006,9,0],[1,5006,5010,9,0],[1,5010,5014,9,0],[1,5014,5018,9,0],[1,5018,5022,9,0],[1,5022,5026,9,0],[1,5026,5030,9,0],[1,5030,5034,9,0],[1,5034,5038,9,0],[1,5038,5042,9,0],[1,5042,5046,9,0],[1,5046,5050,9,0],[1,5050,5054,9,0],[1,5056,5060,9,0],[1,5060,5064,9,0],[1,5064,5068,9,0],[1,5068,5196,9,0],[1,5196,5324,9,0],[0,5301,5429,9,0],[1,5326,5454,9,0],[0,5429,5557,9,0],[1,5454,5582,9,0],[1,5582,5710,9,0],[1,5710,5838,9,0],[1,5838,5966,9,0],[1,5966,6094,9,0],[1,6102,6106,9,0],[1,6106,6110,9,0],[1,6110,6114,9,0],[1,6114,6118,9,0],[1,6118,6122,9,0],[1,6122,6126,9,0],[1,6126,6130,9,0],[1,6130,6134,9,0],[1,6134,6138,9,0],[1,6138,6142,9,0],[1,6142,6146,9,0],[1,6146,6150,9,0],[1,6150,6154,9,0],[1,6154,6158,9,0],[1,6158,6162,9,0],[1,6162,6166,9,0],[1,6166,6170,9,0],[1,6170,6174,9,0],[1,6174,6178,9,0],[1,6178,6182,9,0],[1,6182,6186,9,0],[1,6186,6190,9,0],[1,6190,6194,9,0],[1,6194,6198,9,0],[1,6203,6207,9,0],[1,6207,6211,9,0],[1,6211,6215,9,0],[1,6215,6219,9,0],[1,6219,6223,9,0],[1,6223,6227,9,0],[1,6227,6231,9,0],[1,6231,6235,9,0]],[[1,97,153,10,0],[1,153,209,10,0],[1,209,265,10,0],[1,265,321,10,0],[1,321,325,10,0],[1,325,329,10,0],[1,329,333,10,0],[1,333,337,10,0],[1,337,341,10,0],[1,341,345,10,0],[1,346,350,10,0],[1,351,415,10,0],[1,415,479,10,0],[1,479,543,10,0],[1,543,607,10,0],[1,607,611,10,0],[1,611,615,10,0],[1,615,619,10,0],[1,619,623,10,0],[1,623,627,10,0],[1,627,631,10,0],[1,632,636,10,0],[1,637,641,10,0],[1,644,708,10,0],[1,708,772,10,0],[1,772,836,10,0],[1,836,900,10,0],[1,900,904,10,0],[1,904,908,10,0],[1,908,912,10,0],[1,912,916,10,0],[1,916,920,10,0],[1,920,924,10,0],[1,925,929,10,0],[1,929,933,10,0],[1,933,997,10,0],[1,997,1061,10,0],[1,1061,1125,10,0],[1,1125,1189,10,0],[1,1189,1193,10,0],[1,1193,1197,10,0],[1,1197,1201,10,0],[1,1201,1205,10,0],[1,1205,1209,10,0],[1,1209,1213,10,0],[1,1214,1218,10,0],[1,1218,1222,10,0],[1,1222,1286,10,0],[1,1286,1350,10,0],[1,1350,1414,10,0],[1,1414,1478,10,0],[1,1478,1482,10,0],[1,1482,1486,10,0],[1,1486,1490,10,0],[1,1490,1494,10,0],[1,1494,1498,10,0],[1,1498,1502,10,0],[1,1503,1507,10,0],[1,1507,1511,10,0],[1,1515,1579,10,0],[1,1579,1643,10,0],[1,1643,1707,10,0],[1,1707,1771,10,0],[1,1771,1775,10,0],[1,1775,1779,10,0],[1,1779,1783,10,0],[1,1783,1787,10,0],[1,1787,1791,10,0],[1,1791,1795,10,0],[1,1796,1800,10,0],[1,1800,1804,10,0],[1,1804,1868,10,0],[1,1868,1932,10,0],[1,1932,1996,10,0],[1,1996,2060,10,0],[1,2060,2064,10,0],[1,2064,2068,10,0],[1,2068,2072,10,0],[0,2069,2133,10,0],[1,2072,2076,10,0],[1,2076,2080,10,0],[1,2080,2084,10,0],[1,2085,2089,10,0],[1,2089,2093,10,0],[1,2094,2158,10,0],[0,2133,2197,10,0],[1,2158,2222,10,0],[0,2197,2261,10,0],[1,2222,2286,10,0],[0,2261,2325,10,0],[1,2286,2350,10,0],[0,2325,2329,10,0],[0,2329,2333,10,0],[0,2333,2337,10,0],[0,2337,2341,10,0],[0,2341,2345,10,0],[0,2345,2349,10,0],[1,2350,2354,10,0],[0,2351,2355,10,0],[1,2354,2358,10,0],[0,2355,2359,10,0],[1,2358,2362,10,0],[1,2362,2366,10,0],[1,2366,2370,10,0],[1,2370,2374,10,0],[1,2376,2380,10,0],[1,2380,2384,10,0],[1,2384,2448,10,0],[1,2448,2512,10,0],[1,2512,2576,10,0],[1,2576,2640,10,0],[1,2640,2644,10,0],[1,2644,2648,10,0],[1,2648,2652,10,0],[1,2652,2656,10,0],[1,2656,2660,10,0],[1,2660,2664,10,0],[1,2665,2669,10,0],[1,2669,2673,10,0],[1,2673,2737,10,0],[1,2737,2801,10,0],[1,2801,2865,10,0],[1,2865,2929,10,0],[1,2929,2933,10,0],[1,2933,2937,10,0],[1,2937,2941,10,0],[1,2941,2945,10,0],[1,2945,2949,10,0],[1,2949,2953,10,0],[1,2954,2958,10,0],[1,2958,2962,10,0],[1,2966,2982,10,0],[1,2982,2998,10,0],[1,2998,3014,10,0],[1,3014,3030,10,0],[1,3030,3034,10,0],[1,3034,3038,10,0],[1,3320,3448,9,0],[1,3448,3576,9,0],[0,3555,3683,9,0],[1,3578,3706,9,0],[1,3706,3834,9,0],[1,3834,3962,9,0],[1,3962,4090,9,0],[1,4098,4226,9,0],[1,4226,4354,9,0],[1,4354,4358,9,0],[1,4358,4362,9,0],[1,4362,4366,9,0],[1,4367,4371,9,0],[1,4371,4375,9,0],[1,4375,4379,9,0],[1,4379,4383,9,0],[1,4383,4387,9,0],[1,4388,4392,9,0],[1,4392,4396,9,0],[1,4396,4400,9,0],[1,4400,4404,9,0],[1,4404,4408,9,0],[1,4408,4412,9,0],[1,4412,4416,9,0],[1,4416,4420,9,0],[1,4420,4424,9,0],[1,4424,4428,9,0],[1,4428,4432,9,0],[1,4432,4436,9,0],[1,4436,4440,9,0],[1,4440,4444,9,0],[1,4444,4448,9,0],[1,4448,4452,9,0],[1,4452,4456,9,0],[1,4456,4460,9,0],[1,4460,4464,9,0],[1,4464,4468,9,0],[1,4468,4472,9,0],[1,4472,4476,9,0],[1,4476,4480,9,0],[1,4480,4484,9,0],[1,4486,4614,9,0],[1,4614,4742,9,0],[1,4758,4886,9,0],[1,4886,5014,9,0],[1,5014,5142,9,0],[1,5142,5270,9,0],[0,5234,5362,9,0],[1,5270,5398,9,0],[0,5362,5490,9,0],[1,5398,5526,9,0],[0,5490,5618,9,0],[1,5526,5530,9,0],[1,5532,5536,9,0],[1,5536,5540,9,0],[1,5540,5544,9,0],[1,5544,5548,9,0],[1,5548,5552,9,0],[1,5552,5556,9,0],[1,5556,5560,9,0],[1,5560,5564,9,0],[1,5564,5568,9,0],[1,5568,5572,9,0],[1,5572,5576,9,0],[1,5576,5580,9,0],[1,5580,5584,9,0],[1,5584,5588,9,0],[1,5588,5592,9,0],[1,5592,5596,9,0],[1,5596,5600,9,0],[1,5600,5604,9,0],[1,5604,5608,9,0],[1,5608,5612,9,0],[1,5612,5616,9,0],[1,5616,5620,9,0],[1,5620,5624,9,0],[1,5624,5628,9,0],[1,5628,5632,9,0],[1,5632,5636,9,0],[1,5636,5640,9,0],[1,5640,5644,9,0],[1,5644,5648,9,0],[1,5648,5652,9,0],[1,5652,5656,9,0]],[[1,98,154,10,0],[1,154,210,10,0],[1,210,266,10,0],[1,266,322,10,0],[1,322,326,10,0],[1,326,330,10,0],[1,330,334,10,0],[1,334,338,10,0],[1,338,342,10,0],[1,342,346,10,0],[1,349,353,10,0],[1,353,417,10,0],[1,417,481,10,0],[1,481,545,10,0],[1,545,609,10,0],[1,609,613,10,0],[1,613,617,10,0],[1,617,621,10,0],[1,621,625,10,0],[1,625,629,10,0],[1,629,633,10,0],[1,636,640,10,0],[1,640,644,10,0],[1,647,711,10,0],[1,711,775,10,0],[1,775,839,10,0],[1,839,903,10,0],[1,903,907,10,0],[1,907,911,10,0],[1,911,915,10,0],[1,915,919,10,0],[1,919,923,10,0],[1,923,927,10,0],[1,929,933,10,0],[1,933,937,10,0],[1,937,1001,10,0],[1,1001,1065,10,0],[1,1065,1129,10,0],[1,1129,1193,10,0],[1,1193,1197,10,0],[1,1197,1201,10,0],[1,1201,1205,10,0],[1,1205,1209,10,0],[1,1209,1213,10,0],[1,1213,1217,10,0],[1,1219,1223,10,0],[1,1223,1227,10,0],[1,1227,1291,10,0],[1,1292,1356,10,0],[1,1356,1420,10,0],[1,1420,1484,10,0],[1,1484,1488,10,0],[1,1489,1493,10,0],[1,1493,1497,10,0],[1,1497,1501,10,0],[1,1501,1505,10,0],[1,1505,1509,10,0],[1,1510,1514,10,0],[1,1515,1519,10,0],[1,1521,1585,10,0],[1,1585,1649,10,0],[1,1649,1713,10,0],[1,1713,1777,10,0],[1,1777,1781,10,0],[1,1781,1785,10,0],[1,1785,1789,10,0],[1,1789,1793,10,0],[1,1793,1797,10,0],[1,1797,1801,10,0],[1,1803,1807,10,0],[1,1807,1811,10,0],[1,1811,1875,10,0],[1,1875,1939,10,0],[1,1939,2003,10,0],[1,2003,2067,10,0],[1,2067,2071,10,0],[1,2071,2075,10,0],[1,2075,2079,10,0],[0,2077,2141,10,0],[1,2079,2083,10,0],[1,2083,2087,10,0],[1,2087,2091,10,0],[1,2093,2097,10,0],[1,2097,2101,10,0],[1,2101,2165,10,0],[0,2141,2205,10,0],[1,2165,2229,10,0],[0,2205,2269,10,0],[1,2229,2293,10,0],[0,2269,2333,10,0],[1,2293,2357,10,0],[0,2333,2337,10,0],[0,2337,2341,10,0],[0,2341,2345,10,0],[0,2345,2349,10,0],[0,2349,2353,10,0],[0,2353,2357,10,0],[1,2357,2361,10,0],[0,2359,2363,10,0],[1,2361,2365,10,0],[0,2363,2367,10,0],[1,2365,2369,10,0],[1,2369,2373,10,0],[1,2373,2377,10,0],[1,2377,2381,10,0],[1,2383,2387,10,0],[1,2387,2391,10,0],[1,2391,2455,10,0],[1,2455,2519,10,0],[1,2519,2583,10,0],[1,2583,2647,10,0],[1,2647,2651,10,0],[1,2651,2655,10,0],[1,2655,2659,10,0],[1,2659,2663,10,0],[1,2663,2667,10,0],[1,2667,2671,10,0],[1,2673,2677,10,0],[1,2677,2681,10,0],[1,2681,2745,10,0],[1,2745,2809,10,0],[1,2809,2873,10,0],[1,2873,2937,10,0],[1,2937,2941,10,0],[1,2941,2945,10,0],[1,2945,2949,10,0],[1,2949,2953,10,0],[1,2953,2957,10,0],[1,2957,2961,10,0],[1,2963,2967,10,0],[1,2967,2971,10,0],[1,2971,2987,10,0],[1,2987,3003,10,0],[1,3006,3022,10,0],[1,3022,3038,10,0],[1,3038,3042,10,0],[1,3042,3046,10,0],[1,3336,3464,9,0],[1,3464,3592,9,0],[0,3574,3702,9,0],[1,3592,3720,9,0],[1,3720,3848,9,0],[1,3848,3976,9,0],[1,3976,4104,9,0],[1,4114,4242,9,0],[1,4242,4370,9,0],[1,4370,4374,9,0],[1,4374,4378,9,0],[1,4379,4383,9,0],[1,4383,4387,9,0],[1,4387,4391,9,0],[1,4391,4395,9,0],[1,4395,4399,9,0],[1,4399,4403,9,0],[1,4403,4407,9,0],[1,4407,4411,9,0],[1,4411,4415,9,0],[1,4415,4419,9,0],[1,4419,4423,9,0],[1,4423,4427,9,0],[1,4427,4431,9,0],[1,4431,4435,9,0],[1,4435,4439,9,0],[1,4439,4443,9,0],[1,4443,4447,9,0],[1,4447,4451,9,0],[1,4451,4455,9,0],[1,4457,4461,9,0],[1,4461,4465,9,0],[1,4465,4469,9,0],[1,4469,4473,9,0],[1,4473,4477,9,0],[1,4477,4481,9,0],[1,4481,4485,9,0],[1,4485,4489,9,0],[1,4489,4493,9,0],[1,4493,4497,9,0],[1,4497,4501,9,0],[1,4501,4629,9,0],[1,4629,4757,9,0],[1,4773,4901,9,0],[1,4901,5029,9,0],[1,5029,5157,9,0],[1,5157,5285,9,0],[0,5252,5380,9,0],[1,5285,5413,9,0],[0,5380,5508,9,0],[1,5413,5541,9,0],[0,5508,5636,9,0],[1,5543,5547,9,0],[1,5547,5551,9,0],[1,5551,5555,9,0],[1,5555,5559,9,0],[1,5559,5563,9,0],[1,5563,5567,9,0],[1,5567,5571,9,0],[1,5571,5575,9,0],[1,5575,5579,9,0],[1,5581,5585,9,0],[1,5585,5589,9,0],[1,5589,5593,9,0],[1,5593,5597,9,0],[1,5597,5601,9,0],[1,5601,5605,9,0],[1,5605,5609,9,0],[1,5609,5613,9,0],[1,5613,5617,9,0],[1,5617,5621,9,0],[1,5621,5625,9,0],[1,5625,5629,9,0],[1,5629,5633,9,0],[1,5633,5637,9,0],[1,5637,5641,9,0],[1,5641,5645,9,0],[1,5645,5649,9,0],[1,5649,5653,9,0],[1,5653,5657,9,0],[1,5657,5661,9,0],[1,5661,5665,9,0],[1,5665,5669,9,0],[1,5669,5673,9,0]],[[1,98,146,10,0],[1,146,194,10,0],[1,194,242,10,0],[1,242,290,10,0],[1,290,294,10,0],[1,294,298,10,0],[1,299,303,10,0],[1,303,307,10,0],[1,307,311,10,0],[1,311,315,10,0],[1,315,379,10,0],[1,379,443,10,0],[1,443,507,10,0],[1,507,571,10,0],[1,571,575,10,0],[1,575,579,10,0],[1,579,583,10,0],[0,581,645,10,0],[1,583,587,10,0],[1,587,591,10,0],[1,591,595,10,0],[1,597,601,10,0],[1,601,605,10,0],[1,605,669,10,0],[0,645,709,10,0],[1,669,733,10,0],[0,709,773,10,0],[1,733,797,10,0],[0,773,837,10,0],[1,797,861,10,0],[0,837,841,10,0],[0,841,845,10,0],[0,845,849,10,0],[0,849,853,10,0],[0,853,857,10,0],[0,857,861,10,0],[1,861,865,10,0],[0,863,867,10,0],[1,865,869,10,0],[0,867,871,10,0],[1,869,873,10,0],[1,873,877,10,0],[1,877,881,10,0],[1,881,885,10,0],[1,887,891,10,0],[1,891,895,10,0],[1,895,959,10,0],[1,959,1023,10,0],[1,1023,1087,10,0],[1,1087,1151,10,0],[1,1151,1155,10,0],[1,1155,1159,10,0],[1,1159,1163,10,0],[1,1163,1167,10,0],[1,1167,1171,10,0],[1,1171,1175,10,0],[1,1177,1181,10,0],[1,1181,1185,10,0],[1,1185,1249,10,0],[1,1249,1313,10,0],[1,1313,1377,10,0],[1,1377,1441,10,0],[1,1441,1445,10,0],[1,1445,1449,10,0],[1,1449,1453,10,0],[1,1453,1457,10,0],[1,1457,1461,10,0],[1,1461,1465,10,0],[1,1467,1471,10,0],[1,1471,1475,10,0],[1,1489,1553,10,0],[1,1553,1617,10,0],[1,1617,1681,10,0],[1,1681,1745,10,0],[1,1745,1749,10,0],[1,1750,1754,10,0],[1,1754,1758,10,0],[1,1758,1762,10,0],[1,1762,1766,10,0],[1,1766,1770,10,0],[1,1771,1775,10,0],[1,1776,1780,10,0],[1,1780,1844,10,0],[1,1844,1908,10,0],[1,1908,1972,10,0],[1,1972,2036,10,0],[1,2036,2040,10,0],[1,2040,2044,10,0],[1,2044,2048,10,0],[1,2048,2052,10,0],[1,2052,2056,10,0],[1,2056,2060,10,0],[1,2062,2066,10,0],[1,2066,2070,10,0],[1,2070,2134,10,0],[1,2134,2198,10,0],[1,2198,2262,10,0],[1,2262,2326,10,0],[1,2326,2330,10,0],[1,2330,2334,10,0],[1,2334,2338,10,0],[1,2338,2342,10,0],[1,2342,2346,10,0],[1,2346,2350,10,0],[1,2352,2356,10,0],[1,2356,2360,10,0],[1,2361,2425,10,0],[1,2425,2489,10,0],[1,2489,2553,10,0],[1,2553,2617,10,0],[1,2617,2621,10,0],[1,2621,2625,10,0],[1,2625,2629,10,0],[1,2629,2633,10,0],[1,2633,2637,10,0],[1,2637,2641,10,0],[1,2644,2648,10,0],[1,2648,2652,10,0],[1,2652,2716,10,0],[1,2716,2780,10,0],[1,2780,2844,10,0],[1,2844,2908,10,0],[1,2908,2912,10,0],[1,2912,2916,10,0],[1,2916,2920,10,0],[1,2920,2924,10,0],[1,2924,2928,10,0],[1,2928,2932,10,0],[1,2934,2938,10,0],[1,2938,2942,10,0],[1,2947,2971,10,0],[1,2973,2997,10,0],[1,2997,3021,10,0],[1,3021,3045,10,0],[1,3046,3050,10,0],[1,3050,3054,10,0],[1,3054,3058,10,0],[1,3349,3477,9,0],[1,3477,3605,9,0],[1,3607,3735,9,0],[1,3735,3863,9,0],[1,3863,3991,9,0],[1,3991,4119,9,0],[1,4119,4247,9,0],[1,4247,4375,9,0],[1,4375,4379,9,0],[1,4379,4383,9,0],[1,4383,4387,9,0],[1,4387,4391,9,0],[1,4391,4395,9,0],[1,4395,4399,9,0],[1,4399,4403,9,0],[1,4403,4407,9,0],[1,4407,4411,9,0],[1,4411,4415,9,0],[1,4415,4419,9,0],[1,4419,4423,9,0],[1,4423,4427,9,0],[1,4427,4431,9,0],[1,4431,4435,9,0],[1,4435,4439,9,0],[1,4439,4443,9,0],[1,4443,4447,9,0],[1,4447,4451,9,0],[1,4451,4455,9,0],[1,4455,4459,9,0],[1,4459,4463,9,0],[1,4463,4467,9,0],[1,4467,4471,9,0],[1,4471,4475,9,0],[1,4475,4479,9,0],[1,4479,4483,9,0],[1,4483,4487,9,0],[1,4487,4491,9,0],[1,4491,4495,9,0],[1,4495,4499,9,0],[1,4499,4503,9,0],[1,4503,4631,9,0],[1,4631,4759,9,0],[1,4759,4887,9,0],[1,4887,5015,9,0],[0,4911,5039,9,0],[1,5015,5143,9,0],[0,5039,5167,9,0],[1,5143,5271,9,0],[0,5167,5295,9,0],[1,5273,5401,9,0],[0,5295,5423,9,0],[1,5401,5529,9,0],[1,5529,5657,9,0],[1,5657,5785,9,0],[1,5785,5913,9,0],[1,5913,6041,9,0],[1,6041,6045,9,0],[1,6045,6049,9,0],[1,6049,6053,9,0],[1,6053,6057,9,0],[1,6057,6061,9,0],[1,6061,6065,9,0],[1,6065,6069,9,0],[1,6069,6073,9,0],[1,6073,6077,9,0],[1,6077,6081,9,0],[1,6081,6085,9,0],[1,6085,6089,9,0],[1,6089,6093,9,0],[1,6093,6097,9,0],[1,6097,6101,9,0],[1,6101,6105,9,0],[1,6105,6109,9,0],[1,6109,6113,9,0],[1,6113,6117,9,0],[1,6117,6121,9,0],[1,6121,6125,9,0],[1,6125,6129,9,0],[1,6129,6133,9,0],[1,6133,6137,9,0],[1,6137,6141,9,0],[1,6141,6145,9,0],[1,6145,6149,9,0],[1,6149,6153,9,0],[1,6153,6157,9,0],[1,6157,6161,9,0],[1,6161,6165,9,0],[1,6165,6169,9,0],[1,6169,6173,9,0],[1,6173,6177,9,0],[1,6177,6181,9,0],[1,6181,6185,9,0],[1,6185,6189,9,0],[1,6189,6193,9,0],[1,6193,6197,9,0],[1,6197,6201,9,0],[1,6201,6205,9,0],[1,6205,6209,9,0],[1,6209,6213,9,0],[1,6213,6217,9,0],[1,6217,6221,9,0],[1,6221,6225,9,0],[1,6225,6229,9,0],[1,6229,6233,9,0]],[[1,98,154,10,0],[1,154,210,10,0],[1,210,266,10,0],[1,266,322,10,0],[1,322,326,10,0],[1,326,330,10,0],[1,330,334,10,0],[1,334,338,10,0],[1,338,342,10,0],[1,342,346,10,0],[1,347,351,10,0],[1,351,415,10,0],[1,415,479,10,0],[1,479,543,10,0],[1,543,607,10,0],[1,607,611,10,0],[1,611,615,10,0],[1,615,619,10,0],[1,619,623,10,0],[1,623,627,10,0],[1,627,631,10,0],[1,632,636,10,0],[1,636,640,10,0],[1,640,704,10,0],[1,704,768,10,0],[1,768,832,10,0],[1,832,896,10,0],[1,896,900,10,0],[1,900,904,10,0],[1,904,908,10,0],[1,908,912,10,0],[1,912,916,10,0],[1,916,920,10,0],[1,921,925,10,0],[1,925,929,10,0],[1,929,993,10,0],[1,993,1057,10,0],[1,1057,1121,10,0],[1,1121,1185,10,0],[1,1185,1189,10,0],[1,1189,1193,10,0],[1,1193,1197,10,0],[1,1197,1201,10,0],[1,1201,1205,10,0],[1,1205,1209,10,0],[1,1210,1214,10,0],[1,1214,1218,10,0],[1,1218,1282,10,0],[1,1285,1349,10,0],[1,1349,1413,10,0],[1,1413,1477,10,0],[1,1477,1481,10,0],[1,1483,1487,10,0],[1,1487,1491,10,0],[1,1491,1495,10,0],[1,1495,1499,10,0],[1,1499,1503,10,0],[1,1503,1507,10,0],[1,1508,1512,10,0],[1,1512,1576,10,0],[1,1576,1640,10,0],[1,1640,1704,10,0],[1,1704,1768,10,0],[1,1768,1772,10,0],[1,1772,1776,10,0],[1,1776,1780,10,0],[1,1780,1784,10,0],[1,1784,1788,10,0],[1,1788,1792,10,0],[1,1793,1797,10,0],[1,1797,1801,10,0],[1,1801,1865,10,0],[1,1865,1929,10,0],[1,1929,1993,10,0],[1,1993,2057,10,0],[1,2057,2061,10,0],[1,2061,2065,10,0],[1,2065,2069,10,0],[0,2066,2130,10,0],[1,2069,2073,10,0],[1,2073,2077,10,0],[1,2077,2081,10,0],[1,2082,2086,10,0],[1,2086,2090,10,0],[1,2091,2155,10,0],[0,2130,2194,10,0],[1,2155,2219,10,0],[0,2194,2258,10,0],[1,2219,2283,10,0],[0,2258,2322,10,0],[1,2283,2347,10,0],[0,2322,2326,10,0],[0,2326,2330,10,0],[0,2330,2334,10,0],[0,2334,2338,10,0],[0,2338,2342,10,0],[0,2342,2346,10,0],[1,2347,2351,10,0],[0,2348,2352,10,0],[1,2351,2355,10,0],[0,2352,2356,10,0],[1,2355,2359,10,0],[1,2359,2363,10,0],[1,2363,2367,10,0],[1,2367,2371,10,0],[1,2373,2377,10,0],[1,2377,2381,10,0],[1,2381,2445,10,0],[1,2445,2509,10,0],[1,2509,2573,10,0],[1,2573,2637,10,0],[1,2637,2641,10,0],[1,2641,2645,10,0],[1,2645,2649,10,0],[1,2649,2653,10,0],[1,2653,2657,10,0],[1,2657,2661,10,0],[1,2662,2666,10,0],[1,2666,2670,10,0],[1,2670,2734,10,0],[1,2734,2798,10,0],[1,2798,2862,10,0],[1,2862,2926,10,0],[1,2926,2930,10,0],[1,2930,2934,10,0],[1,2934,2938,10,0],[1,2938,2942,10,0],[1,2942,2946,10,0],[1,2946,2950,10,0],[1,2951,2955,10,0],[1,2955,2959,10,0],[1,2959,2975,10,0],[1,2977,2993,10,0],[1,2993,3009,10,0],[1,3009,3025,10,0],[1,3025,3029,10,0],[1,3029,3033,10,0],[1,3326,3454,9,0],[1,3454,3582,9,0],[0,3565,3693,9,0],[1,3582,3710,9,0],[1,3710,3838,9,0],[1,3838,3966,9,0],[1,3966,4094,9,0],[1,4102,4230,9,0],[1,4230,4358,9,0],[1,4358,4362,9,0],[1,4362,4366,9,0],[1,4366,4370,9,0],[1,4372,4376,9,0],[1,4376,4380,9,0],[1,4380,4384,9,0],[1,4384,4388,9,0],[1,4388,4392,9,0],[1,4392,4396,9,0],[1,4396,4400,9,0],[1,4400,4404,9,0],[1,4404,4408,9,0],[1,4408,4412,9,0],[1,4412,4416,9,0],[1,4416,4420,9,0],[1,4420,4424,9,0],[1,4424,4428,9,0],[1,4428,4432,9,0],[1,4432,4436,9,0],[1,4436,4440,9,0],[1,4440,4444,9,0],[1,4444,4448,9,0],[1,4451,4455,9,0],[1,4455,4459,9,0],[1,4459,4463,9,0],[1,4463,4467,9,0],[1,4467,4471,9,0],[1,4471,4475,9,0],[1,4475,4479,9,0],[1,4479,4483,9,0],[1,4483,4487,9,0],[1,4487,4491,9,0],[1,4491,4619,9,0],[1,4619,4747,9,0],[1,4763,4891,9,0],[1,4891,5019,9,0],[1,5019,5147,9,0],[1,5147,5275,9,0],[0,5242,5370,9,0],[1,5275,5403,9,0],[0,5370,5498,9,0],[1,5403,5531,9,0],[0,5498,5626,9,0],[1,5531,5535,9,0],[1,5537,5541,9,0],[1,5541,5545,9,0],[1,5545,5549,9,0],[1,5549,5553,9,0],[1,5553,5557,9,0],[1,5557,5561,9,0],[1,5561,5565,9,0],[1,5565,5569,9,0],[1,5569,5573,9,0],[1,5575,5579,9,0],[1,5579,5583,9,0],[1,5583,5587,9,0],[1,5587,5591,9,0],[1,5591,5595,9,0],[1,5595,5599,9,0],[1,5599,5603,9,0],[1,5603,5607,9,0],[1,5607,5611,9,0],[1,5611,5615,9,0],[1,5615,5619,9,0],[1,5619,5623,9,0],[1,5623,5627,9,0],[1,5627,5631,9,0],[1,5631,5635,9,0],[1,5635,5639,9,0],[1,5639,5643,9,0],[1,5643,5647,9,0],[1,5647,5651,9,0],[1,5651,5655,9,0],[1,5655,5659,9,0],[1,5659,5663,9,0]],[[1,100,148,10,0],[1,148,196,10,0],[1,196,244,10,0],[1,244,292,10,0],[1,292,296,10,0],[1,296,300,10,0],[1,302,306,10,0],[1,306,310,10,0],[1,310,314,10,0],[1,314,318,10,0],[1,318,382,10,0],[1,382,446,10,0],[1,446,510,10,0],[1,510,574,10,0],[1,574,578,10,0],[1,578,582,10,0],[1,582,586,10,0],[0,583,647,10,0],[1,586,590,10,0],[1,590,594,10,0],[1,594,598,10,0],[1,599,603,10,0],[1,603,607,10,0],[1,608,672,10,0],[0,647,711,10,0],[1,672,736,10,0],[0,711,775,10,0],[1,736,800,10,0],[0,775,839,10,0],[1,800,864,10,0],[0,839,843,10,0],[0,843,847,10,0],[0,847,851,10,0],[0,851,855,10,0],[0,855,859,10,0],[0,859,863,10,0],[1,864,868,10,0],[0,865,869,10,0],[1,868,872,10,0],[0,869,873,10,0],[1,872,876,10,0],[1,876,880,10,0],[1,880,884,10,0],[1,884,888,10,0],[1,890,894,10,0],[1,894,898,10,0],[1,898,962,10,0],[1,962,1026,10,0],[1,1026,1090,10,0],[1,1090,1154,10,0],[1,1154,1158,10,0],[1,1158,1162,10,0],[1,1162,1166,10,0],[1,1166,1170,10,0],[1,1170,1174,10,0],[1,1174,1178,10,0],[1,1179,1183,10,0],[1,1183,1187,10,0],[1,1187,1251,10,0],[1,1251,1315,10,0],[1,1315,1379,10,0],[1,1379,1443,10,0],[1,1443,1447,10,0],[1,1447,1451,10,0],[1,1451,1455,10,0],[1,1455,1459,10,0],[1,1459,1463,10,0],[1,1463,1467,10,0],[1,1468,1472,10,0],[1,1472,1476,10,0],[1,1488,1552,10,0],[1,1552,1616,10,0],[1,1616,1680,10,0],[1,1680,1744,10,0],[1,1744,1748,10,0],[1,1751,1755,10,0],[1,1755,1759,10,0],[1,1759,1763,10,0],[1,1763,1767,10,0],[1,1769,1773,10,0],[1,1773,1777,10,0],[1,1777,1781,10,0],[1,1781,1845,10,0],[1,1845,1909,10,0],[1,1909,1973,10,0],[1,1973,2037,10,0],[1,2037,2041,10,0],[1,2041,2045,10,0],[1,2045,2049,10,0],[1,2049,2053,10,0],[1,2053,2057,10,0],[1,2057,2061,10,0],[1,2062,2066,10,0],[1,2066,2070,10,0],[1,2070,2134,10,0],[1,2134,2198,10,0],[1,2198,2262,10,0],[1,2262,2326,10,0],[1,2326,2330,10,0],[1,2330,2334,10,0],[1,2334,2338,10,0],[1,2338,2342,10,0],[1,2342,2346,10,0],[1,2346,2350,10,0],[1,2351,2355,10,0],[1,2355,2359,10,0],[1,2359,2423,10,0],[1,2423,2487,10,0],[1,2487,2551,10,0],[1,2551,2615,10,0],[1,2615,2619,10,0],[1,2619,2623,10,0],[1,2623,2627,10,0],[1,2627,2631,10,0],[1,2631,2635,10,0],[1,2635,2639,10,0],[1,2640,2644,10,0],[1,2644,2648,10,0],[1,2648,2712,10,0],[1,2712,2776,10,0],[1,2776,2840,10,0],[1,2840,2904,10,0],[1,2904,2908,10,0],[1,2908,2912,10,0],[1,2912,2916,10,0],[1,2916,2920,10,0],[1,2920,2924,10,0],[1,2924,2928,10,0],[1,2929,2933,10,0],[1,2933,2937,10,0],[1,2938,2962,10,0],[1,2965,2989,10,0],[1,2991,3015,10,0],[1,3015,3039,10,0],[1,3040,3044,10,0],[1,3046,3050,10,0],[1,3050,3054,10,0],[1,3332,3460,9,0],[1,3460,3588,9,0],[1,3590,3718,9,0],[1,3718,3846,9,0],[1,3846,3974,9,0],[1,3974,4102,9,0],[1,4102,4230,9,0],[1,4230,4358,9,0],[1,4359,4363,9,0],[1,4363,4367,9,0],[1,4367,4371,9,0],[1,4371,4375,9,0],[1,4375,4379,9,0],[1,4379,4383,9,0],[1,4383,4387,9,0],[1,4387,4391,9,0],[1,4391,4395,9,0],[1,4395,4399,9,0],[1,4399,4403,9,0],[1,4403,4407,9,0],[1,4407,4411,9,0],[1,4411,4415,9,0],[1,4415,4419,9,0],[1,4419,4423,9,0],[1,4423,4427,9,0],[1,4427,4431,9,0],[1,4431,4435,9,0],[1,4435,4439,9,0],[1,4439,4443,9,0],[1,4443,4447,9,0],[1,4447,4451,9,0],[1,4451,4455,9,0],[1,4455,4459,9,0],[1,4459,4463,9,0],[1,4463,4467,9,0],[1,4467,4471,9,0],[1,4471,4475,9,0],[1,4475,4479,9,0],[1,4479,4483,9,0],[1,4483,4487,9,0],[1,4487,4615,9,0],[1,4615,4743,9,0],[1,4743,4871,9,0],[1,4871,4999,9,0],[0,4899,5027,9,0],[1,4999,5127,9,0],[0,5027,5155,9,0],[1,5127,5255,9,0],[0,5155,5283,9,0],[1,5257,5385,9,0],[0,5283,5411,9,0],[1,5385,5513,9,0],[1,5513,5641,9,0],[1,5641,5769,9,0],[1,5769,5897,9,0],[1,5897,6025,9,0],[1,6025,6029,9,0],[1,6029,6033,9,0],[1,6033,6037,9,0],[1,6037,6041,9,0],[1,6041,6045,9,0],[1,6045,6049,9,0],[1,6049,6053,9,0],[1,6053,6057,9,0],[1,6057,6061,9,0],[1,6061,6065,9,0],[1,6065,6069,9,0],[1,6069,6073,9,0],[1,6073,6077,9,0],[1,6077,6081,9,0],[1,6081,6085,9,0],[1,6085,6089,9,0],[1,6089,6093,9,0],[1,6093,6097,9,0],[1,6097,6101,9,0],[1,6101,6105,9,0],[1,6105,6109,9,0],[1,6109,6113,9,0],[1,6113,6117,9,0],[1,6117,6121,9,0],[1,6121,6125,9,0],[1,6125,6129,9,0],[1,6129,6133,9,0],[1,6133,6137,9,0],[1,6137,6141,9,0],[1,6141,6145,9,0],[1,6145,6149,9,0],[1,6149,6153,9,0],[1,6153,6157,9,0],[1,6157,6161,9,0],[1,6161,6165,9,0],[1,6165,6169,9,0],[1,6169,6173,9,0],[1,6173,6177,9,0],[1,6177,6181,9,0],[1,6181,6185,9,0],[1,6185,6189,9,0],[1,6189,6193,9,0],[1,6193,6197,9,0],[1,6197,6201,9,0],[1,6201,6205,9,0],[1,6205,6209,9,0],[1,6209,6213,9,0],[1,6213,6217,9,0]],[[1,98,146,10,0],[1,146,194,10,0],[1,194,242,10,0],[1,242,290,10,0],[1,290,294,10,0],[1,294,298,10,0],[1,298,302,10,0],[1,302,306,10,0],[1,306,310,10,0],[1,311,315,10,0],[1,315,379,10,0],[1,379,443,10,0],[1,443,507,10,0],[1,507,571,10,0],[1,571,575,10,0],[1,575,579,10,0],[1,579,583,10,0],[1,583,587,10,0],[1,587,591,10,0],[1,591,595,10,0],[1,597,601,10,0],[1,601,605,10,0],[1,605,669,10,0],[1,669,733,10,0],[1,733,797,10,0],[1,797,861,10,0],[1,861,865,10,0],[1,865,869,10,0],[1,869,873,10,0],[0,871,935,10,0],[1,873,877,10,0],[1,877,881,10,0],[1,881,885,10,0],[1,887,891,10,0],[1,891,895,10,0],[1,895,959,10,0],[0,935,999,10,0],[1,959,1023,10,0],[0,999,1063,10,0],[1,1023,1087,10,0],[0,1063,1127,10,0],[1,1087,1151,10,0],[0,1127,1131,10,0],[0,1131,1135,10,0],[0,1135,1139,10,0],[0,1139,1143,10,0],[0,1143,1147,10,0],[0,1147,1151,10,0],[1,1151,1155,10,0],[0,1153,1157,10,0],[1,1155,1159,10,0],[0,1157,1161,10,0],[1,1159,1163,10,0],[1,1163,1167,10,0],[1,1167,1171,10,0],[1,1171,1175,10,0],[1,1177,1181,10,0],[1,1181,1185,10,0],[1,1185,1249,10,0],[1,1249,1313,10,0],[1,1313,1377,10,0],[1,1377,1441,10,0],[1,1441,1445,10,0],[1,1445,1449,10,0],[1,1449,1453,10,0],[1,1453,1457,10,0],[1,1457,1461,10,0],[1,1461,1465,10,0],[1,1467,1471,10,0],[1,1471,1475,10,0],[1,1475,1539,10,0],[1,1539,1603,10,0],[1,1603,1667,10,0],[1,1667,1731,10,0],[1,1731,1735,10,0],[1,1735,1739,10,0],[1,1739,1743,10,0],[1,1743,1747,10,0],[1,1747,1751,10,0],[1,1751,1755,10,0],[1,1757,1761,10,0],[1,1761,1765,10,0],[1,1777,1841,10,0],[1,1841,1905,10,0],[1,1905,1969,10,0],[1,1969,2033,10,0],[1,2033,2037,10,0],[1,2037,2041,10,0],[1,2041,2045,10,0],[1,2045,2049,10,0],[1,2049,2053,10,0],[1,2053,2057,10,0],[1,2059,2063,10,0],[1,2063,2067,10,0],[1,2067,2131,10,0],[1,2131,2195,10,0],[1,2195,2259,10,0],[1,2259,2323,10,0],[1,2323,2327,10,0],[1,2327,2331,10,0],[1,2331,2335,10,0],[1,2335,2339,10,0],[1,2339,2343,10,0],[1,2343,2347,10,0],[1,2349,2353,10,0],[1,2353,2357,10,0],[1,2358,2422,10,0],[1,2422,2486,10,0],[1,2486,2550,10,0],[1,2550,2614,10,0],[1,2614,2618,10,0],[1,2618,2622,10,0],[1,2622,2626,10,0],[1,2626,2630,10,0],[1,2630,2634,10,0],[1,2634,2638,10,0],[1,2640,2644,10,0],[1,2644,2648,10,0],[1,2648,2712,10,0],[1,2712,2776,10,0],[1,2776,2840,10,0],[1,2840,2904,10,0],[1,2904,2908,10,0],[1,2908,2912,10,0],[1,2912,2916,10,0],[1,2916,2920,10,0],[1,2920,2924,10,0],[1,2924,2928,10,0],[1,2930,2934,10,0],[1,2934,2938,10,0],[1,2956,2980,10,0],[1,2980,3004,10,0],[1,3004,3028,10,0],[1,3028,3052,10,0],[1,3054,3058,10,0],[1,3058,3062,10,0],[1,3062,3066,10,0],[1,3327,3455,9,0],[1,3455,3583,9,0],[1,3583,3711,9,0],[1,3713,3841,9,0],[1,3841,3845,9,0],[1,3845,3849,9,0],[1,3849,3853,9,0],[1,3853,3857,9,0],[1,3857,3861,9,0],[1,3861,3865,9,0],[1,3865,3869,9,0],[1,3869,3873,9,0],[1,3873,3877,9,0],[1,3877,3881,9,0],[1,3881,3885,9,0],[1,3885,3889,9,0],[1,3889,3893,9,0],[1,3893,3897,9,0],[1,3897,3901,9,0],[1,3901,3905,9,0],[1,3905,4033,9,0],[1,4033,4161,9,0],[1,4161,4289,9,0],[1,4289,4417,9,0],[1,4417,4545,9,0],[1,4545,4673,9,0],[1,4673,4801,9,0],[1,4801,4929,9,0],[1,4929,5057,9,0],[1,5057,5185,9,0],[1,5185,5313,9,0],[1,5313,5441,9,0],[0,5419,5547,9,0],[1,5443,5571,9,0],[0,5547,5675,9,0],[1,5571,5699,9,0],[0,5675,5803,9,0],[1,5699,5827,9,0],[0,5803,5931,9,0],[1,5827,5955,9,0],[1,5955,5959,9,0],[1,5959,5963,9,0],[1,5963,5967,9,0],[1,5967,5971,9,0],[1,5971,5975,9,0],[1,5975,5979,9,0],[1,5979,5983,9,0],[1,5983,5987,9,0],[1,5987,5991,9,0],[1,5991,5995,9,0],[1,5995,5999,9,0],[1,5999,6003,9,0],[1,6003,6007,9,0],[1,6007,6011,9,0],[1,6011,6015,9,0],[1,6015,6019,9,0],[1,6019,6023,9,0],[1,6023,6027,9,0],[1,6027,6031,9,0],[1,6031,6035,9,0],[1,6035,6039,9,0],[1,6039,6043,9,0],[1,6043,6047,9,0],[1,6047,6051,9,0],[1,6051,6055,9,0],[1,6055,6059,9,0],[1,6059,6063,9,0],[1,6063,6067,9,0],[1,6067,6071,9,0],[1,6071,6075,9,0],[1,6075,6079,9,0],[1,6079,6083,9,0],[1,6083,6087,9,0],[1,6087,6091,9,0],[1,6091,6095,9,0],[1,6095,6099,9,0],[1,6099,6103,9,0],[1,6103,6107,9,0],[1,6107,6111,9,0],[1,6111,6115,9,0],[1,6115,6119,9,0],[1,6119,6123,9,0],[1,6123,6127,9,0],[1,6127,6131,9,0],[1,6131,6135,9,0],[1,6135,6139,9,0],[1,6139,6143,9,0],[1,6143,6147,9,0],[1,6147,6151,9,0],[1,6151,6155,9,0],[1,6155,6159,9,0],[1,6159,6163,9,0],[1,6163,6167,9,0],[1,6167,6171,9,0],[1,6171,6175,9,0],[1,6175,6179,9,0],[1,6179,6183,9,0],[1,6183,6187,9,0],[1,6187,6191,9,0],[1,6191,6195,9,0],[1,6195,6199,9,0],[1,6199,6203,9,0],[1,6203,6207,9,0],[1,6207,6211,9,0]],[[1,99,147,10,0],[1,147,195,10,0],[1,195,243,10,0],[1,243,291,10,0],[1,291,295,10,0],[1,295,299,10,0],[1,299,303,10,0],[1,304,308,10,0],[1,308,312,10,0],[1,312,316,10,0],[1,316,380,10,0],[1,380,444,10,0],[1,444,508,10,0],[1,508,572,10,0],[1,572,576,10,0],[1,576,580,10,0],[1,580,584,10,0],[1,584,588,10,0],[1,588,592,10,0],[1,592,596,10,0],[1,598,602,10,0],[1,602,606,10,0],[1,606,670,10,0],[1,670,734,10,0],[1,734,798,10,0],[1,798,862,10,0],[1,862,866,10,0],[1,866,870,10,0],[1,870,874,10,0],[1,874,878,10,0],[1,878,882,10,0],[1,882,886,10,0],[1,888,892,10,0],[1,892,896,10,0],[1,897,961,10,0],[1,961,1025,10,0],[1,1025,1089,10,0],[1,1089,1153,10,0],[1,1153,1157,10,0],[1,1157,1161,10,0],[1,1161,1165,10,0],[1,1165,1169,10,0],[1,1169,1173,10,0],[1,1173,1177,10,0],[1,1179,1183,10,0],[1,1183,1187,10,0],[1,1187,1251,10,0],[1,1251,1315,10,0],[1,1315,1379,10,0],[1,1379,1443,10,0],[1,1443,1447,10,0],[1,1447,1451,10,0],[1,1451,1455,10,0],[1,1455,1459,10,0],[1,1459,1463,10,0],[1,1463,1467,10,0],[1,1469,1473,10,0],[1,1473,1477,10,0],[1,1477,1541,10,0],[1,1541,1605,10,0],[1,1605,1669,10,0],[1,1669,1733,10,0],[1,1733,1737,10,0],[1,1737,1741,10,0],[1,1741,1745,10,0],[1,1745,1749,10,0],[1,1749,1753,10,0],[1,1753,1757,10,0],[1,1760,1764,10,0],[1,1764,1768,10,0],[1,1771,1835,10,0],[1,1835,1899,10,0],[1,1899,1963,10,0],[1,1963,2027,10,0],[1,2027,2031,10,0],[1,2031,2035,10,0],[1,2035,2039,10,0],[1,2039,2043,10,0],[1,2043,2047,10,0],[1,2047,2051,10,0],[1,2053,2057,10,0],[1,2057,2061,10,0],[1,2061,2125,10,0],[1,2125,2189,10,0],[1,2189,2253,10,0],[1,2253,2317,10,0],[1,2317,2321,10,0],[1,2321,2325,10,0],[1,2325,2329,10,0],[0,2327,2391,10,0],[1,2329,2333,10,0],[1,2333,2337,10,0],[1,2337,2341,10,0],[1,2343,2347,10,0],[1,2347,2351,10,0],[1,2351,2415,10,0],[0,2391,2455,10,0],[1,2415,2479,10,0],[0,2455,2519,10,0],[1,2479,2543,10,0],[0,2519,2583,10,0],[1,2543,2607,10,0],[0,2583,2587,10,0],[0,2587,2591,10,0],[0,2591,2595,10,0],[0,2595,2599,10,0],[0,2599,2603,10,0],[0,2603,2607,10,0],[1,2607,2611,10,0],[0,2609,2613,10,0],[1,2611,2615,10,0],[0,2613,2617,10,0],[1,2615,2619,10,0],[1,2619,2623,10,0],[1,2623,2627,10,0],[1,2627,2631,10,0],[1,2633,2637,10,0],[1,2637,2641,10,0],[1,2641,2705,10,0],[1,2705,2769,10,0],[1,2769,2833,10,0],[1,2833,2897,10,0],[1,2897,2901,10,0],[1,2901,2905,10,0],[1,2905,2909,10,0],[1,2909,2913,10,0],[1,2913,2917,10,0],[1,2917,2921,10,0],[1,2923,2927,10,0],[1,2927,2931,10,0],[1,2936,2960,10,0],[1,2962,2986,10,0],[1,2986,3010,10,0],[1,3010,3034,10,0],[1,3034,3038,10,0],[1,3038,3042,10,0],[1,3042,3046,10,0],[1,3312,3440,9,0],[1,3440,3568,9,0],[1,3584,3712,9,0],[1,3712,3840,9,0],[1,3840,3968,9,0],[1,3968,4096,9,0],[1,4096,4224,9,0],[1,4224,4352,9,0],[1,4352,4356,9,0],[1,4356,4360,9,0],[1,4360,4364,9,0],[1,4364,4368,9,0],[1,4368,4372,9,0],[1,4372,4376,9,0],[1,4376,4380,9,0],[1,4380,4384,9,0],[1,4384,4388,9,0],[1,4388,4392,9,0],[1,4392,4396,9,0],[1,4396,4400,9,0],[1,4400,4404,9,0],[1,4404,4408,9,0],[1,4408,4412,9,0],[1,4412,4416,9,0],[1,4416,4420,9,0],[1,4420,4424,9,0],[1,4424,4428,9,0],[1,4428,4432,9,0],[1,4432,4436,9,0],[1,4436,4440,9,0],[1,4440,4444,9,0],[1,4444,4448,9,0],[1,4448,4452,9,0],[1,4452,4456,9,0],[1,4456,4460,9,0],[1,4460,4464,9,0],[1,4464,4468,9,0],[1,4468,4472,9,0],[1,4472,4476,9,0],[1,4476,4480,9,0],[1,4480,4608,9,0],[1,4608,4736,9,0],[1,4736,4864,9,0],[0,4836,4964,9,0],[1,4864,4992,9,0],[0,4964,5092,9,0],[1,4992,5120,9,0],[0,5092,5220,9,0],[1,5120,5248,9,0],[0,5220,5348,9,0],[1,5248,5376,9,0],[1,5376,5504,9,0],[1,5506,5510,9,0],[1,5510,5514,9,0],[1,5514,5518,9,0],[1,5518,5522,9,0],[1,5522,5526,9,0],[1,5526,5530,9,0],[1,5530,5534,9,0],[1,5534,5538,9,0],[1,5538,5542,9,0],[1,5542,5546,9,0],[1,5546,5550,9,0],[1,5550,5554,9,0],[1,5554,5558,9,0],[1,5558,5562,9,0],[1,5562,5566,9,0],[1,5566,5570,9,0],[1,5570,5574,9,0],[1,5574,5578,9,0],[1,5578,5582,9,0],[1,5582,5586,9,0],[1,5586,5590,9,0],[1,5590,5594,9,0],[1,5594,5598,9,0],[1,5598,5602,9,0],[1,5602,5606,9,0],[1,5606,5610,9,0],[1,5610,5614,9,0],[1,5614,5618,9,0],[1,5618,5622,9,0],[1,5622,5626,9,0],[1,5626,5630,9,0],[1,5630,5634,9,0]],[[1,98,146,10,0],[1,146,194,10,0],[1,194,242,10,0],[1,242,290,10,0],[1,290,294,10,0],[1,294,298,10,0],[1,298,302,10,0],[1,302,306,10,0],[1,306,310,10,0],[1,312,316,10,0],[1,316,380,10,0],[1,380,444,10,0],[1,444,508,10,0],[1,508,572,10,0],[1,572,576,10,0],[1,576,580,10,0],[1,580,584,10,0],[1,584,588,10,0],[1,588,592,10,0],[1,592,596,10,0],[1,597,601,10,0],[1,601,605,10,0],[1,605,669,10,0],[1,669,733,10,0],[1,733,797,10,0],[1,797,861,10,0],[1,861,865,10,0],[1,865,869,10,0],[1,869,873,10,0],[0,870,934,10,0],[1,873,877,10,0],[1,877,881,10,0],[1,881,885,10,0],[1,886,890,10,0],[1,890,894,10,0],[1,895,959,10,0],[0,934,998,10,0],[1,959,1023,10,0],[0,998,1062,10,0],[1,1023,1087,10,0],[0,1062,1126,10,0],[1,1087,1151,10,0],[0,1126,1130,10,0],[0,1130,1134,10,0],[0,1134,1138,10,0],[0,1138,1142,10,0],[0,1142,1146,10,0],[0,1146,1150,10,0],[1,1151,1155,10,0],[0,1152,1156,10,0],[1,1155,1159,10,0],[0,1156,1160,10,0],[1,1159,1163,10,0],[1,1163,1167,10,0],[1,1167,1171,10,0],[1,1171,1175,10,0],[1,1177,1181,10,0],[1,1181,1185,10,0],[1,1185,1249,10,0],[1,1249,1313,10,0],[1,1313,1377,10,0],[1,1377,1441,10,0],[1,1441,1445,10,0],[1,1445,1449,10,0],[1,1449,1453,10,0],[1,1453,1457,10,0],[1,1457,1461,10,0],[1,1461,1465,10,0],[1,1466,1470,10,0],[1,1470,1474,10,0],[1,1474,1538,10,0],[1,1538,1602,10,0],[1,1602,1666,10,0],[1,1666,1730,10,0],[1,1730,1734,10,0],[1,1734,1738,10,0],[1,1738,1742,10,0],[1,1742,1746,10,0],[1,1746,1750,10,0],[1,1750,1754,10,0],[1,1755,1759,10,0],[1,1759,1763,10,0],[1,1771,1835,10,0],[1,1835,1899,10,0],[1,1899,1963,10,0],[1,1963,2027,10,0],[1,2027,2031,10,0],[1,2031,2035,10,0],[1,2035,2039,10,0],[1,2039,2043,10,0],[1,2043,2047,10,0],[1,2047,2051,10,0],[1,2052,2056,10,0],[1,2056,2060,10,0],[1,2060,2124,10,0],[1,2124,2188,10,0],[1,2188,2252,10,0],[1,2252,2316,10,0],[1,2316,2320,10,0],[1,2320,2324,10,0],[1,2324,2328,10,0],[1,2328,2332,10,0],[1,2332,2336,10,0],[1,2336,2340,10,0],[1,2341,2345,10,0],[1,2345,2349,10,0],[1,2349,2413,10,0],[1,2413,2477,10,0],[1,2477,2541,10,0],[1,2541,2605,10,0],[1,2605,2609,10,0],[1,2609,2613,10,0],[1,2613,2617,10,0],[1,2617,2621,10,0],[1,2621,2625,10,0],[1,2625,2629,10,0],[1,2630,2634,10,0],[1,2634,2638,10,0],[1,2639,2703,10,0],[1,2703,2767,10,0],[1,2767,2831,10,0],[1,2831,2895,10,0],[1,2895,2899,10,0],[1,2899,2903,10,0],[1,2903,2907,10,0],[1,2907,2911,10,0],[1,2911,2915,10,0],[1,2915,2919,10,0],[1,2920,2924,10,0],[1,2925,2929,10,0],[1,2933,2957,10,0],[1,2957,2981,10,0],[1,2981,3005,10,0],[1,3005,3029,10,0],[1,3029,3033,10,0],[1,3033,3037,10,0],[1,3037,3041,10,0],[1,3324,3452,9,0],[1,3452,3580,9,0],[1,3580,3708,9,0],[1,3710,3838,9,0],[1,3838,3842,9,0],[1,3842,3846,9,0],[1,3846,3850,9,0],[1,3850,3854,9,0],[1,3854,3858,9,0],[1,3858,3862,9,0],[1,3862,3866,9,0],[1,3866,3870,9,0],[1,3870,3874,9,0],[1,3874,3878,9,0],[1,3878,3882,9,0],[1,3882,3886,9,0],[1,3886,3890,9,0],[1,3890,3894,9,0],[1,3894,3898,9,0],[1,3898,3902,9,0],[1,3902,4030,9,0],[1,4030,4158,9,0],[1,4158,4286,9,0],[1,4286,4414,9,0],[1,4414,4542,9,0],[1,4542,4670,9,0],[1,4670,4798,9,0],[1,4798,4926,9,0],[1,4926,5054,9,0],[1,5054,5182,9,0],[1,5182,5310,9,0],[1,5310,5438,9,0],[0,5415,5543,9,0],[1,5440,5568,9,0],[0,5543,5671,9,0],[1,5568,5696,9,0],[0,5671,5799,9,0],[1,5696,5824,9,0],[0,5799,5927,9,0],[1,5824,5952,9,0],[1,5952,5956,9,0],[1,5956,5960,9,0],[1,5960,5964,9,0],[1,5964,5968,9,0],[1,5968,5972,9,0],[1,5972,5976,9,0],[1,5976,5980,9,0],[1,5980,5984,9,0],[1,5984,5988,9,0],[1,5988,5992,9,0],[1,5992,5996,9,0],[1,5996,6000,9,0],[1,6000,6004,9,0],[1,6004,6008,9,0],[1,6008,6012,9,0],[1,6012,6016,9,0],[1,6016,6020,9,0],[1,6020,6024,9,0],[1,6024,6028,9,0],[1,6028,6032,9,0],[1,6032,6036,9,0],[1,6036,6040,9,0],[1,6040,6044,9,0],[1,6044,6048,9,0],[1,6048,6052,9,0],[1,6052,6056,9,0],[1,6056,6060,9,0],[1,6060,6064,9,0],[1,6064,6068,9,0],[1,6068,6072,9,0],[1,6072,6076,9,0],[1,6076,6080,9,0],[1,6080,6084,9,0],[1,6084,6088,9,0],[1,6088,6092,9,0],[1,6092,6096,9,0],[1,6096,6100,9,0],[1,6100,6104,9,0],[1,6104,6108,9,0],[1,6108,6112,9,0],[1,6112,6116,9,0],[1,6116,6120,9,0],[1,6120,6124,9,0],[1,6124,6128,9,0],[1,6128,6132,9,0],[1,6132,6136,9,0],[1,6136,6140,9,0],[1,6140,6144,9,0],[1,6144,6148,9,0],[1,6148,6152,9,0],[1,6152,6156,9,0],[1,6156,6160,9,0],[1,6160,6164,9,0],[1,6164,6168,9,0],[1,6168,6172,9,0],[1,6172,6176,9,0],[1,6176,6180,9,0],[1,6180,6184,9,0],[1,6184,6188,9,0],[1,6188,6192,9,0],[1,6192,6196,9,0],[1,6196,6200,9,0],[1,6200,6204,9,0],[1,6204,6208,9,0]],[[1,97,145,10,0],[1,145,193,10,0],[1,193,241,10,0],[1,241,289,10,0],[1,289,293,10,0],[1,293,297,10,0],[1,297,301,10,0],[1,303,307,10,0],[1,307,311,10,0],[1,311,315,10,0],[1,315,379,10,0],[1,379,443,10,0],[1,443,507,10,0],[1,507,571,10,0],[1,571,575,10,0],[1,575,579,10,0],[1,579,583,10,0],[1,583,587,10,0],[1,587,591,10,0],[1,591,595,10,0],[1,596,600,10,0],[1,600,604,10,0],[1,605,669,10,0],[1,669,733,10,0],[1,733,797,10,0],[1,797,861,10,0],[1,861,865,10,0],[1,865,869,10,0],[1,869,873,10,0],[1,873,877,10,0],[1,877,881,10,0],[1,881,885,10,0],[1,886,890,10,0],[1,891,895,10,0],[1,898,962,10,0],[1,962,1026,10,0],[1,1026,1090,10,0],[1,1090,1154,10,0],[1,1154,1158,10,0],[1,1158,1162,10,0],[1,1162,1166,10,0],[1,1166,1170,10,0],[1,1170,1174,10,0],[1,1174,1178,10,0],[1,1179,1183,10,0],[1,1183,1187,10,0],[1,1187,1251,10,0],[1,1251,1315,10,0],[1,1315,1379,10,0],[1,1379,1443,10,0],[1,1443,1447,10,0],[1,1447,1451,10,0],[1,1451,1455,10,0],[1,1455,1459,10,0],[1,1459,1463,10,0],[1,1463,1467,10,0],[1,1468,1472,10,0],[1,1472,1476,10,0],[1,1476,1540,10,0],[1,1540,1604,10,0],[1,1604,1668,10,0],[1,1668,1732,10,0],[1,1732,1736,10,0],[1,1736,1740,10,0],[1,1740,1744,10,0],[1,1744,1748,10,0],[1,1748,1752,10,0],[1,1752,1756,10,0],[1,1757,1761,10,0],[1,1761,1765,10,0],[1,1769,1833,10,0],[1,1833,1897,10,0],[1,1897,1961,10,0],[1,1961,2025,10,0],[1,2025,2029,10,0],[1,2029,2033,10,0],[1,2033,2037,10,0],[1,2037,2041,10,0],[1,2041,2045,10,0],[1,2045,2049,10,0],[1,2050,2054,10,0],[1,2054,2058,10,0],[1,2058,2122,10,0],[1,2122,2186,10,0],[1,2186,2250,10,0],[1,2250,2314,10,0],[1,2314,2318,10,0],[1,2318,2322,10,0],[1,2322,2326,10,0],[0,2323,2387,10,0],[1,2326,2330,10,0],[1,2330,2334,10,0],[1,2334,2338,10,0],[1,2339,2343,10,0],[1,2343,2347,10,0],[1,2348,2412,10,0],[0,2387,2451,10,0],[1,2412,2476,10,0],[0,2451,2515,10,0],[1,2476,2540,10,0],[0,2515,2579,10,0],[1,2540,2604,10,0],[0,2579,2583,10,0],[0,2583,2587,10,0],[0,2587,2591,10,0],[0,2591,2595,10,0],[0,2595,2599,10,0],[0,2599,2603,10,0],[1,2604,2608,10,0],[0,2605,2609,10,0],[1,2608,2612,10,0],[0,2609,2613,10,0],[1,2612,2616,10,0],[1,2616,2620,10,0],[1,2620,2624,10,0],[1,2624,2628,10,0],[1,2630,2634,10,0],[1,2634,2638,10,0],[1,2638,2702,10,0],[1,2702,2766,10,0],[1,2766,2830,10,0],[1,2830,2894,10,0],[1,2894,2898,10,0],[1,2898,2902,10,0],[1,2902,2906,10,0],[1,2906,2910,10,0],[1,2910,2914,10,0],[1,2914,2918,10,0],[1,2919,2923,10,0],[1,2923,2927,10,0],[1,2928,2952,10,0],[1,2959,2983,10,0],[1,2983,3007,10,0],[1,3007,3031,10,0],[1,3031,3035,10,0],[1,3035,3039,10,0],[1,3040,3044,10,0],[1,3306,3434,9,0],[1,3434,3562,9,0],[1,3578,3706,9,0],[1,3706,3834,9,0],[1,3834,3962,9,0],[1,3962,4090,9,0],[1,4090,4218,9,0],[1,4218,4346,9,0],[1,4346,4350,9,0],[1,4350,4354,9,0],[1,4354,4358,9,0],[1,4358,4362,9,0],[1,4362,4366,9,0],[1,4366,4370,9,0],[1,4370,4374,9,0],[1,4374,4378,9,0],[1,4378,4382,9,0],[1,4382,4386,9,0],[1,4386,4390,9,0],[1,4390,4394,9,0],[1,4394,4398,9,0],[1,4398,4402,9,0],[1,4402,4406,9,0],[1,4406,4410,9,0],[1,4410,4414,9,0],[1,4414,4418,9,0],[1,4418,4422,9,0],[1,4422,4426,9,0],[1,4426,4430,9,0],[1,4430,4434,9,0],[1,4434,4438,9,0],[1,4438,4442,9,0],[1,4442,4446,9,0],[1,4446,4450,9,0],[1,4450,4454,9,0],[1,4454,4458,9,0],[1,4458,4462,9,0],[1,4462,4466,9,0],[1,4466,4470,9,0],[1,4470,4474,9,0],[1,4474,4602,9,0],[1,4602,4730,9,0],[1,4730,4858,9,0],[0,4831,4959,9,0],[1,4858,4986,9,0],[0,4959,5087,9,0],[1,4986,5114,9,0],[0,5087,5215,9,0],[1,5114,5242,9,0],[0,5215,5343,9,0],[1,5242,5370,9,0],[1,5370,5498,9,0],[1,5498,5502,9,0],[1,5502,5506,9,0],[1,5506,5510,9,0],[1,5510,5514,9,0],[1,5514,5518,9,0],[1,5518,5522,9,0],[1,5522,5526,9,0],[1,5526,5530,9,0],[1,5530,5534,9,0],[1,5534,5538,9,0],[1,5538,5542,9,0],[1,5542,5546,9,0],[1,5546,5550,9,0],[1,5550,5554,9,0],[1,5554,5558,9,0],[1,5558,5562,9,0],[1,5562,5566,9,0],[1,5566,5570,9,0],[1,5570,5574,9,0],[1,5574,5578,9,0],[1,5578,5582,9,0],[1,5582,5586,9,0],[1,5586,5590,9,0],[1,5590,5594,9,0],[1,5594,5598,9,0],[1,5598,5602,9,0],[1,5602,5606,9,0],[1,5606,5610,9,0],[1,5610,5614,9,0],[1,5614,5618,9,0],[1,5618,5622,9,0],[1,5622,5626,9,0]],[[1,98,146,10,0],[1,146,194,10,0],[1,194,242,10,0],[1,242,290,10,0],[1,290,294,10,0],[1,294,298,10,0],[1,298,302,10,0],[1,302,306,10,0],[1,306,310,10,0],[1,310,314,10,0],[1,314,378,10,0],[1,378,442,10,0],[1,442,506,10,0],[1,506,570,10,0],[1,570,574,10,0],[1,574,578,10,0],[1,578,582,10,0],[1,582,586,10,0],[1,586,590,10,0],[1,590,594,10,0],[1,596,600,10,0],[1,600,604,10,0],[1,605,669,10,0],[1,669,733,10,0],[1,733,797,10,0],[1,797,861,10,0],[1,861,865,10,0],[1,865,869,10,0],[1,869,873,10,0],[1,873,877,10,0],[1,877,881,10,0],[1,881,885,10,0],[1,888,892,10,0],[1,892,896,10,0],[1,899,963,10,0],[1,963,1027,10,0],[1,1027,1091,10,0],[1,1091,1155,10,0],[1,1155,1159,10,0],[1,1159,1163,10,0],[1,1163,1167,10,0],[1,1167,1171,10,0],[1,1171,1175,10,0],[1,1175,1179,10,0],[1,1181,1185,10,0],[1,1185,1189,10,0],[1,1189,1253,10,0],[1,1253,1317,10,0],[1,1317,1381,10,0],[1,1381,1445,10,0],[1,1445,1449,10,0],[1,1449,1453,10,0],[1,1453,1457,10,0],[1,1457,1461,10,0],[1,1461,1465,10,0],[1,1465,1469,10,0],[1,1471,1475,10,0],[1,1475,1479,10,0],[1,1479,1543,10,0],[1,1544,1608,10,0],[1,1608,1672,10,0],[1,1672,1736,10,0],[1,1736,1740,10,0],[1,1741,1745,10,0],[1,1745,1749,10,0],[1,1749,1753,10,0],[1,1753,1757,10,0],[1,1757,1761,10,0],[1,1762,1766,10,0],[1,1767,1771,10,0],[1,1773,1837,10,0],[1,1837,1901,10,0],[1,1901,1965,10,0],[1,1965,2029,10,0],[1,2029,2033,10,0],[1,2033,2037,10,0],[1,2037,2041,10,0],[1,2041,2045,10,0],[1,2045,2049,10,0],[1,2049,2053,10,0],[1,2055,2059,10,0],[1,2059,2063,10,0],[1,2063,2127,10,0],[1,2127,2191,10,0],[1,2191,2255,10,0],[1,2255,2319,10,0],[1,2319,2323,10,0],[1,2323,2327,10,0],[1,2327,2331,10,0],[0,2329,2393,10,0],[1,2331,2335,10,0],[1,2335,2339,10,0],[1,2339,2343,10,0],[1,2345,2349,10,0],[1,2349,2353,10,0],[1,2353,2417,10,0],[0,2393,2457,10,0],[1,2417,2481,10,0],[0,2457,2521,10,0],[1,2481,2545,10,0],[0,2521,2585,10,0],[1,2545,2609,10,0],[0,2585,2589,10,0],[0,2589,2593,10,0],[0,2593,2597,10,0],[0,2597,2601,10,0],[0,2601,2605,10,0],[0,2605,2609,10,0],[1,2609,2613,10,0],[0,2611,2615,10,0],[1,2613,2617,10,0],[0,2615,2619,10,0],[1,2617,2621,10,0],[1,2621,2625,10,0],[1,2625,2629,10,0],[1,2629,2633,10,0],[1,2635,2639,10,0],[1,2639,2643,10,0],[1,2643,2707,10,0],[1,2707,2771,10,0],[1,2771,2835,10,0],[1,2835,2899,10,0],[1,2899,2903,10,0],[1,2903,2907,10,0],[1,2907,2911,10,0],[1,2911,2915,10,0],[1,2915,2919,10,0],[1,2919,2923,10,0],[1,2925,2929,10,0],[1,2929,2933,10,0],[1,2937,2961,10,0],[1,2961,2985,10,0],[1,2985,3009,10,0],[1,3010,3034,10,0],[1,3034,3038,10,0],[1,3038,3042,10,0],[1,3042,3046,10,0],[1,3301,3429,9,0],[1,3429,3557,9,0],[1,3573,3701,9,0],[1,3701,3829,9,0],[1,3829,3957,9,0],[1,3957,4085,9,0],[1,4085,4213,9,0],[1,4213,4341,9,0],[1,4341,4345,9,0],[1,4345,4349,9,0],[1,4349,4353,9,0],[1,4353,4357,9,0],[1,4357,4361,9,0],[1,4361,4365,9,0],[1,4365,4369,9,0],[1,4369,4373,9,0],[1,4373,4377,9,0],[1,4377,4381,9,0],[1,4381,4385,9,0],[1,4385,4389,9,0],[1,4389,4393,9,0],[1,4393,4397,9,0],[1,4397,4401,9,0],[1,4401,4405,9,0],[1,4405,4409,9,0],[1,4409,4413,9,0],[1,4413,4417,9,0],[1,4417,4421,9,0],[1,4421,4425,9,0],[1,4425,4429,9,0],[1,4429,4433,9,0],[1,4433,4437,9,0],[1,4437,4441,9,0],[1,4441,4445,9,0],[1,4445,4449,9,0],[1,4449,4453,9,0],[1,4453,4457,9,0],[1,4457,4461,9,0],[1,4461,4465,9,0],[1,4465,4469,9,0],[1,4469,4597,9,0],[1,4597,4725,9,0],[1,4725,4853,9,0],[1,4853,4981,9,0],[0,4862,4990,9,0],[1,4981,5109,9,0],[0,4990,5118,9,0],[1,5109,5237,9,0],[0,5118,5246,9,0],[1,5237,5365,9,0],[0,5246,5374,9,0],[1,5365,5493,9,0],[1,5493,5497,9,0],[1,5497,5501,9,0],[1,5501,5505,9,0],[1,5505,5509,9,0],[1,5509,5513,9,0],[1,5513,5517,9,0],[1,5517,5521,9,0],[1,5521,5525,9,0],[1,5525,5529,9,0],[1,5529,5533,9,0],[1,5533,5537,9,0],[1,5537,5541,9,0],[1,5541,5545,9,0],[1,5545,5549,9,0],[1,5549,5553,9,0],[1,5553,5557,9,0],[1,5558,5562,9,0],[1,5562,5566,9,0],[1,5566,5570,9,0],[1,5570,5574,9,0],[1,5574,5578,9,0],[1,5578,5582,9,0],[1,5582,5586,9,0],[1,5586,5590,9,0],[1,5590,5594,9,0],[1,5594,5598,9,0],[1,5598,5602,9,0],[1,5602,5606,9,0],[1,5606,5610,9,0],[1,5615,5619,9,0],[1,5619,5623,9,0],[1,5623,5627,9,0]],[[1,99,139,10,0],[1,139,179,10,0],[1,179,219,10,0],[1,219,259,10,0],[1,259,263,10,0],[1,263,267,10,0],[1,267,271,10,0],[1,271,275,10,0],[1,275,279,10,0],[1,279,343,10,0],[1,343,407,10,0],[1,407,471,10,0],[1,471,535,10,0],[1,535,539,10,0],[1,539,543,10,0],[1,543,547,10,0],[1,547,551,10,0],[1,551,555,10,0],[1,555,559,10,0],[1,562,566,10,0],[1,566,570,10,0],[1,573,637,10,0],[1,637,701,10,0],[1,701,765,10,0],[1,765,829,10,0],[1,829,833,10,0],[1,833,837,10,0],[1,837,841,10,0],[1,841,845,10,0],[1,845,849,10,0],[1,849,853,10,0],[1,855,859,10,0],[1,859,863,10,0],[1,863,927,10,0],[1,927,991,10,0],[1,991,1055,10,0],[1,1055,1119,10,0],[1,1119,1123,10,0],[1,1123,1127,10,0],[1,1127,1131,10,0],[0,1129,1193,10,0],[1,1131,1135,10,0],[1,1135,1139,10,0],[1,1139,1143,10,0],[1,1145,1149,10,0],[1,1149,1153,10,0],[1,1153,1217,10,0],[0,1193,1257,10,0],[1,1217,1281,10,0],[0,1257,1321,10,0],[1,1281,1345,10,0],[0,1321,1385,10,0],[1,1345,1409,10,0],[0,1385,1389,10,0],[0,1389,1393,10,0],[0,1393,1397,10,0],[0,1397,1401,10,0],[0,1401,1405,10,0],[0,1405,1409,10,0],[1,1409,1413,10,0],[0,1411,1415,10,0],[1,1413,1417,10,0],[0,1415,1419,10,0],[1,1417,1421,10,0],[1,1421,1425,10,0],[1,1425,1429,10,0],[1,1429,1433,10,0],[1,1435,1439,10,0],[1,1439,1443,10,0],[1,1443,1507,10,0],[1,1507,1571,10,0],[1,1571,1635,10,0],[1,1635,1699,10,0],[1,1699,1703,10,0],[1,1703,1707,10,0],[1,1707,1711,10,0],[1,1711,1715,10,0],[1,1715,1719,10,0],[1,1719,1723,10,0],[1,1725,1729,10,0],[1,1729,1733,10,0],[1,1733,1797,10,0],[1,1797,1861,10,0],[1,1861,1925,10,0],[1,1925,1989,10,0],[1,1989,1993,10,0],[1,1993,1997,10,0],[1,1997,2001,10,0],[1,2001,2005,10,0],[1,2005,2009,10,0],[1,2009,2013,10,0],[1,2015,2019,10,0],[1,2019,2023,10,0],[1,2033,2097,10,0],[1,2098,2162,10,0],[1,2162,2226,10,0],[1,2226,2290,10,0],[1,2290,2294,10,0],[1,2295,2299,10,0],[1,2299,2303,10,0],[1,2303,2307,10,0],[1,2307,2311,10,0],[1,2311,2315,10,0],[1,2316,2320,10,0],[1,2321,2325,10,0],[1,2325,2389,10,0],[1,2389,2453,10,0],[1,2453,2517,10,0],[1,2517,2581,10,0],[1,2581,2585,10,0],[1,2585,2589,10,0],[1,2589,2593,10,0],[1,2593,2597,10,0],[1,2597,2601,10,0],[1,2601,2605,10,0],[1,2607,2611,10,0],[1,2611,2615,10,0],[1,2615,2679,10,0],[1,2679,2743,10,0],[1,2743,2807,10,0],[1,2807,2871,10,0],[1,2871,2875,10,0],[1,2875,2879,10,0],[1,2879,2883,10,0],[1,2883,2887,10,0],[1,2887,2891,10,0],[1,2891,2895,10,0],[1,2897,2901,10,0],[1,2901,2905,10,0],[1,2905,2937,10,0],[1,2937,2969,10,0],[1,2969,3001,10,0],[1,3001,3033,10,0],[1,3039,3043,10,0],[1,3043,3047,10,0],[1,3047,3051,10,0],[1,3051,3055,10,0],[1,3322,3450,9,0],[1,3450,3578,9,0],[1,3578,3706,9,0],[1,3706,3834,9,0],[1,3834,3962,9,0],[1,3962,4090,9,0],[1,4090,4218,9,0],[1,4218,4346,9,0],[1,4348,4476,9,0],[1,4476,4604,9,0],[1,4604,4732,9,0],[1,4732,4860,9,0],[0,4826,4830,9,0],[0,4830,4834,9,0],[0,4834,4838,9,0],[0,4838,4842,9,0],[0,4842,4846,9,0],[0,4846,4850,9,0],[0,4850,4854,9,0],[0,4854,4858,9,0],[0,4858,4862,9,0],[1,4860,4988,9,0],[0,4862,4866,9,0],[0,4866,4870,9,0],[0,4870,4874,9,0],[0,4874,4878,9,0],[0,4878,4882,9,0],[0,4882,4886,9,0],[0,4886,4890,9,0],[0,4890,4894,9,0],[0,4894,4898,9,0],[0,4898,4902,9,0],[0,4902,4906,9,0],[0,4906,4910,9,0],[0,4910,4914,9,0],[0,4914,4918,9,0],[0,4918,4922,9,0],[0,4922,4926,9,0],[0,4926,4930,9,0],[0,4930,4934,9,0],[0,4934,4938,9,0],[0,4938,4942,9,0],[0,4942,4946,9,0],[0,4946,4950,9,0],[0,4950,4954,9,0],[0,4954,4958,9,0],[0,4958,4962,9,0],[0,4962,4966,9,0],[0,4966,4970,9,0],[0,4970,4974,9,0],[0,4974,4978,9,0],[0,4978,4982,9,0],[0,4982,4986,9,0],[0,4986,4990,9,0],[1,4988,5116,9,0],[0,4990,4994,9,0],[0,4994,4998,9,0],[0,4998,5002,9,0],[0,5002,5006,9,0],[0,5006,5010,9,0],[0,5010,5014,9,0],[0,5014,5018,9,0],[1,5116,5244,9,0],[1,5244,5372,9,0],[1,5374,5378,9,0],[1,5378,5382,9,0],[1,5382,5386,9,0],[1,5386,5390,9,0],[1,5390,5394,9,0],[1,5394,5398,9,0],[1,5398,5402,9,0],[1,5402,5406,9,0],[1,5406,5410,9,0],[1,5410,5414,9,0],[1,5414,5418,9,0],[1,5418,5422,9,0],[1,5422,5426,9,0],[1,5426,5430,9,0],[1,5430,5434,9,0],[1,5434,5438,9,0],[1,5438,5442,9,0],[1,5443,5447,9,0],[1,5447,5451,9,0],[1,5451,5455,9,0],[1,5455,5459,9,0],[1,5459,5463,9,0],[1,5463,5467,9,0],[1,5467,5471,9,0],[1,5471,5475,9,0],[1,5475,5479,9,0],[1,5479,5483,9,0],[1,5483,5487,9,0],[1,5487,5491,9,0],[1,5491,5495,9,0],[1,5495,5499,9,0],[1,5499,5503,9,0],[1,5503,5507,9,0],[1,5507,5511,9,0],[1,5511,5515,9,0],[1,5515,5519,9,0],[1,5519,5523,9,0],[1,5523,5527,9,0],[1,5527,5531,9,0],[1,5531,5535,9,0],[1,5535,5539,9,0],[1,5539,5543,9,0],[1,5543,5547,9,0],[1,5547,5551,9,0],[1,5551,5555,9,0],[1,5555,5559,9,0],[1,5559,5563,9,0],[1,5563,5567,9,0],[1,5567,5571,9,0],[1,5571,5575,9,0],[1,5575,5579,9,0],[1,5579,5583,9,0],[1,5583,5587,9,0],[1,5587,5591,9,0],[1,5591,5595,9,0],[1,5595,5599,9,0],[1,5599,5603,9,0],[1,5603,5607,9,0],[1,5607,5611,9,0],[1,5611,5615,9,0],[1,5615,5619,9,0],[1,5619,5623,9,0],[1,5623,5627,9,0],[1,5627,5631,9,0],[1,5631,5759,9,0],[1,5759,5887,9,0],[1,5889,6017,9,0],[1,6189,6317,9,0],[0,6293,6297,9,0],[0,6297,6301,9,0],[0,6301,6305,9,0],[0,6305,6309,9,0],[0,6309,6313,9,0],[0,6313,6317,9,0],[1,6317,6321,9,0],[0,6319,6323,9,0],[1,6321,6325,9,0],[0,6323,6327,9,0],[1,6325,6329,9,0],[0,6327,6331,9,0],[1,6329,6333,9,0],[0,6331,6335,9,0],[1,6333,6337,9,0],[0,6335,6339,9,0],[1,6337,6341,9,0],[0,6339,6343,9,0],[1,6343,6347,9,0],[0,6345,6349,9,0],[1,6347,6351,9,0],[1,6351,6355,9,0],[1,6355,6359,9,0],[1,6359,6363,9,0],[1,6363,6367,9,0],[0,6366,6370,9,0],[1,6369,6373,9,0],[0,6372,6376,9,0],[0,6376,6380,9,0],[1,6390,6394,9,0],[1,6396,6400,9,0],[1,6400,6404,9,0]],[[1,98,146,10,0],[1,146,194,10,0],[1,194,242,10,0],[1,242,290,10,0],[1,290,294,10,0],[1,294,298,10,0],[1,298,302,10,0],[1,302,306,10,0],[1,306,310,10,0],[1,310,314,10,0],[1,314,378,10,0],[1,378,442,10,0],[1,442,506,10,0],[1,506,570,10,0],[1,570,574,10,0],[1,574,578,10,0],[1,578,582,10,0],[1,582,586,10,0],[1,586,590,10,0],[1,590,594,10,0],[1,595,599,10,0],[1,599,603,10,0],[1,603,667,10,0],[1,667,731,10,0],[1,731,795,10,0],[1,795,859,10,0],[1,859,863,10,0],[1,863,867,10,0],[1,867,871,10,0],[1,871,875,10,0],[1,875,879,10,0],[1,879,883,10,0],[1,884,888,10,0],[1,888,892,10,0],[1,892,956,10,0],[1,956,1020,10,0],[1,1020,1084,10,0],[1,1084,1148,10,0],[1,1148,1152,10,0],[1,1152,1156,10,0],[1,1156,1160,10,0],[1,1160,1164,10,0],[1,1164,1168,10,0],[1,1168,1172,10,0],[1,1173,1177,10,0],[1,1177,1181,10,0],[1,1181,1245,10,0],[1,1245,1309,10,0],[1,1309,1373,10,0],[1,1373,1437,10,0],[1,1437,1441,10,0],[1,1441,1445,10,0],[1,1445,1449,10,0],[1,1449,1453,10,0],[1,1453,1457,10,0],[1,1457,1461,10,0],[1,1462,1466,10,0],[1,1466,1470,10,0],[1,1470,1534,10,0],[1,1537,1601,10,0],[1,1601,1665,10,0],[1,1665,1729,10,0],[1,1729,1733,10,0],[1,1736,1740,10,0],[1,1740,1744,10,0],[1,1744,1748,10,0],[1,1748,1752,10,0],[1,1754,1758,10,0],[1,1758,1762,10,0],[1,1762,1766,10,0],[1,1766,1830,10,0],[1,1830,1894,10,0],[1,1894,1958,10,0],[1,1958,2022,10,0],[1,2022,2026,10,0],[1,2026,2030,10,0],[1,2030,2034,10,0],[1,2034,2038,10,0],[1,2038,2042,10,0],[1,2042,2046,10,0],[1,2047,2051,10,0],[1,2051,2055,10,0],[1,2055,2119,10,0],[1,2119,2183,10,0],[1,2183,2247,10,0],[1,2247,2311,10,0],[1,2311,2315,10,0],[1,2315,2319,10,0],[1,2319,2323,10,0],[0,2320,2384,10,0],[1,2323,2327,10,0],[1,2327,2331,10,0],[1,2331,2335,10,0],[1,2336,2340,10,0],[1,2340,2344,10,0],[1,2345,2409,10,0],[0,2384,2448,10,0],[1,2409,2473,10,0],[0,2448,2512,10,0],[1,2473,2537,10,0],[0,2512,2576,10,0],[1,2537,2601,10,0],[0,2576,2580,10,0],[0,2580,2584,10,0],[0,2584,2588,10,0],[0,2588,2592,10,0],[0,2592,2596,10,0],[0,2596,2600,10,0],[1,2601,2605,10,0],[0,2602,2606,10,0],[1,2605,2609,10,0],[0,2606,2610,10,0],[1,2609,2613,10,0],[1,2613,2617,10,0],[1,2617,2621,10,0],[1,2621,2625,10,0],[1,2627,2631,10,0],[1,2631,2635,10,0],[1,2635,2699,10,0],[1,2699,2763,10,0],[1,2763,2827,10,0],[1,2827,2891,10,0],[1,2891,2895,10,0],[1,2895,2899,10,0],[1,2899,2903,10,0],[1,2903,2907,10,0],[1,2907,2911,10,0],[1,2911,2915,10,0],[1,2916,2920,10,0],[1,2920,2924,10,0],[1,2942,2966,10,0],[1,2966,2990,10,0],[1,2990,3014,10,0],[1,3015,3039,10,0],[1,3039,3043,10,0],[1,3043,3047,10,0],[1,3047,3051,10,0],[1,3283,3411,9,0],[1,3411,3539,9,0],[1,3555,3683,9,0],[1,3683,3811,9,0],[1,3811,3939,9,0],[1,3939,4067,9,0],[1,4067,4195,9,0],[1,4195,4323,9,0],[1,4323,4327,9,0],[1,4327,4331,9,0],[1,4331,4335,9,0],[1,4335,4339,9,0],[1,4339,4343,9,0],[1,4343,4347,9,0],[1,4347,4351,9,0],[1,4351,4355,9,0],[1,4355,4359,9,0],[1,4359,4363,9,0],[1,4363,4367,9,0],[1,4367,4371,9,0],[1,4371,4375,9,0],[1,4375,4379,9,0],[1,4379,4383,9,0],[1,4383,4387,9,0],[1,4387,4391,9,0],[1,4391,4395,9,0],[1,4395,4399,9,0],[1,4399,4403,9,0],[1,4403,4407,9,0],[1,4407,4411,9,0],[1,4411,4415,9,0],[1,4415,4419,9,0],[1,4419,4423,9,0],[1,4423,4427,9,0],[1,4427,4431,9,0],[1,4431,4435,9,0],[1,4435,4439,9,0],[1,4439,4443,9,0],[1,4443,4447,9,0],[1,4447,4451,9,0],[1,4451,4579,9,0],[1,4579,4707,9,0],[1,4707,4835,9,0],[1,4835,4963,9,0],[0,4836,4964,9,0],[1,4963,5091,9,0],[0,4964,5092,9,0],[1,5091,5219,9,0],[0,5092,5220,9,0],[1,5219,5347,9,0],[0,5220,5348,9,0],[1,5347,5475,9,0],[1,5475,5479,9,0],[1,5479,5483,9,0],[1,5483,5487,9,0],[1,5487,5491,9,0],[1,5491,5495,9,0],[1,5495,5499,9,0],[1,5499,5503,9,0],[1,5503,5507,9,0],[1,5507,5511,9,0],[1,5511,5515,9,0],[1,5515,5519,9,0],[1,5519,5523,9,0],[1,5523,5527,9,0],[1,5527,5531,9,0],[1,5531,5535,9,0],[1,5535,5539,9,0],[1,5539,5543,9,0],[1,5544,5548,9,0],[1,5548,5552,9,0],[1,5552,5556,9,0],[1,5556,5560,9,0],[1,5560,5564,9,0],[1,5564,5568,9,0],[1,5568,5572,9,0],[1,5572,5576,9,0],[1,5576,5580,9,0],[1,5580,5584,9,0],[1,5584,5588,9,0],[1,5588,5592,9,0],[1,5592,5596,9,0],[1,5596,5600,9,0],[1,5600,5604,9,0]],[[1,97,137,10,0],[1,137,177,10,0],[1,177,217,10,0],[1,217,257,10,0],[1,257,261,10,0],[1,261,265,10,0],[1,265,269,10,0],[1,269,273,10,0],[1,273,277,10,0],[1,277,341,10,0],[1,341,405,10,0],[1,405,469,10,0],[1,469,533,10,0],[1,533,537,10,0],[1,537,541,10,0],[1,541,545,10,0],[1,545,549,10,0],[1,549,553,10,0],[1,553,557,10,0],[1,558,562,10,0],[1,562,566,10,0],[1,570,634,10,0],[1,634,698,10,0],[1,698,762,10,0],[1,762,826,10,0],[1,826,830,10,0],[1,830,834,10,0],[1,834,838,10,0],[1,838,842,10,0],[1,842,846,10,0],[1,846,850,10,0],[1,851,855,10,0],[1,855,859,10,0],[1,859,923,10,0],[1,923,987,10,0],[1,987,1051,10,0],[1,1051,1115,10,0],[1,1115,1119,10,0],[1,1119,1123,10,0],[1,1123,1127,10,0],[0,1124,1188,10,0],[1,1127,1131,10,0],[1,1131,1135,10,0],[1,1135,1139,10,0],[1,1140,1144,10,0],[1,1144,1148,10,0],[1,1149,1213,10,0],[0,1188,1252,10,0],[1,1213,1277,10,0],[0,1252,1316,10,0],[1,1277,1341,10,0],[0,1316,1380,10,0],[1,1341,1405,10,0],[0,1380,1384,10,0],[0,1384,1388,10,0],[0,1388,1392,10,0],[0,1392,1396,10,0],[0,1396,1400,10,0],[0,1400,1404,10,0],[1,1405,1409,10,0],[0,1406,1410,10,0],[1,1409,1413,10,0],[0,1410,1414,10,0],[1,1413,1417,10,0],[1,1417,1421,10,0],[1,1421,1425,10,0],[1,1425,1429,10,0],[1,1431,1435,10,0],[1,1435,1439,10,0],[1,1439,1503,10,0],[1,1503,1567,10,0],[1,1567,1631,10,0],[1,1631,1695,10,0],[1,1695,1699,10,0],[1,1699,1703,10,0],[1,1703,1707,10,0],[1,1707,1711,10,0],[1,1711,1715,10,0],[1,1715,1719,10,0],[1,1720,1724,10,0],[1,1724,1728,10,0],[1,1728,1792,10,0],[1,1792,1856,10,0],[1,1856,1920,10,0],[1,1920,1984,10,0],[1,1984,1988,10,0],[1,1988,1992,10,0],[1,1992,1996,10,0],[1,1996,2000,10,0],[1,2000,2004,10,0],[1,2004,2008,10,0],[1,2009,2013,10,0],[1,2013,2017,10,0],[1,2025,2089,10,0],[1,2092,2156,10,0],[1,2156,2220,10,0],[1,2220,2284,10,0],[1,2284,2288,10,0],[1,2290,2294,10,0],[1,2294,2298,10,0],[1,2298,2302,10,0],[1,2302,2306,10,0],[1,2306,2310,10,0],[1,2310,2314,10,0],[1,2315,2319,10,0],[1,2319,2383,10,0],[1,2383,2447,10,0],[1,2447,2511,10,0],[1,2511,2575,10,0],[1,2575,2579,10,0],[1,2579,2583,10,0],[1,2583,2587,10,0],[1,2587,2591,10,0],[1,2591,2595,10,0],[1,2595,2599,10,0],[1,2600,2604,10,0],[1,2604,2608,10,0],[1,2608,2672,10,0],[1,2672,2736,10,0],[1,2736,2800,10,0],[1,2800,2864,10,0],[1,2864,2868,10,0],[1,2868,2872,10,0],[1,2872,2876,10,0],[1,2876,2880,10,0],[1,2880,2884,10,0],[1,2884,2888,10,0],[1,2889,2893,10,0],[1,2893,2897,10,0],[1,2897,2929,10,0],[1,2929,2961,10,0],[1,2961,2993,10,0],[1,2993,3025,10,0],[1,3025,3029,10,0],[1,3032,3036,10,0],[1,3036,3040,10,0],[1,3040,3044,10,0],[1,3314,3442,9,0],[1,3442,3570,9,0],[1,3570,3698,9,0],[1,3698,3826,9,0],[1,3826,3954,9,0],[1,3954,4082,9,0],[1,4082,4210,9,0],[1,4210,4338,9,0],[1,4339,4467,9,0],[1,4467,4595,9,0],[1,4595,4723,9,0],[1,4723,4851,9,0],[0,4819,4823,9,0],[0,4823,4827,9,0],[0,4827,4831,9,0],[0,4831,4835,9,0],[0,4835,4839,9,0],[0,4839,4843,9,0],[0,4843,4847,9,0],[0,4847,4851,9,0],[1,4851,4979,9,0],[0,4852,4856,9,0],[0,4856,4860,9,0],[0,4860,4864,9,0],[0,4864,4868,9,0],[0,4868,4872,9,0],[0,4872,4876,9,0],[0,4876,4880,9,0],[0,4880,4884,9,0],[0,4884,4888,9,0],[0,4888,4892,9,0],[0,4892,4896,9,0],[0,4896,4900,9,0],[0,4900,4904,9,0],[0,4904,4908,9,0],[0,4908,4912,9,0],[0,4912,4916,9,0],[0,4916,4920,9,0],[0,4920,4924,9,0],[0,4924,4928,9,0],[0,4928,4932,9,0],[0,4932,4936,9,0],[0,4936,4940,9,0],[0,4940,4944,9,0],[0,4944,4948,9,0],[0,4948,4952,9,0],[0,4952,4956,9,0],[0,4956,4960,9,0],[0,4960,4964,9,0],[0,4964,4968,9,0],[0,4968,4972,9,0],[0,4972,4976,9,0],[0,4976,4980,9,0],[1,4979,5107,9,0],[0,4980,4984,9,0],[0,4984,4988,9,0],[0,4988,4992,9,0],[0,4992,4996,9,0],[0,4996,5000,9,0],[0,5000,5004,9,0],[0,5004,5008,9,0],[0,5008,5012,9,0],[1,5107,5235,9,0],[1,5235,5363,9,0],[1,5367,5371,9,0],[1,5371,5375,9,0],[1,5375,5379,9,0],[1,5379,5383,9,0],[1,5383,5387,9,0],[1,5387,5391,9,0],[1,5391,5395,9,0],[1,5396,5400,9,0],[1,5400,5404,9,0],[1,5404,5408,9,0],[1,5408,5412,9,0],[1,5412,5416,9,0],[1,5416,5420,9,0],[1,5420,5424,9,0],[1,5424,5428,9,0],[1,5428,5432,9,0],[1,5432,5436,9,0],[1,5436,5440,9,0],[1,5440,5444,9,0],[1,5444,5448,9,0],[1,5448,5452,9,0],[1,5452,5456,9,0],[1,5456,5460,9,0],[1,5464,5468,9,0],[1,5468,5472,9,0],[1,5472,5476,9,0],[1,5476,5480,9,0],[1,5480,5484,9,0],[1,5484,5488,9,0],[1,5488,5492,9,0],[1,5492,5496,9,0],[1,5496,5500,9,0],[1,5500,5504,9,0],[1,5504,5508,9,0],[1,5508,5512,9,0],[1,5512,5516,9,0],[1,5516,5520,9,0],[1,5520,5524,9,0],[1,5524,5528,9,0],[1,5528,5532,9,0],[1,5532,5536,9,0],[1,5536,5540,9,0],[1,5540,5544,9,0],[1,5544,5548,9,0],[1,5548,5552,9,0],[1,5552,5556,9,0],[1,5556,5560,9,0],[1,5560,5564,9,0],[1,5564,5568,9,0],[1,5568,5572,9,0],[1,5572,5576,9,0],[1,5576,5580,9,0],[1,5580,5584,9,0],[1,5584,5588,9,0],[1,5588,5592,9,0],[1,5592,5596,9,0],[1,5596,5600,9,0],[1,5600,5604,9,0],[1,5604,5608,9,0],[1,5608,5612,9,0],[1,5612,5616,9,0],[1,5616,5620,9,0],[1,5620,5624,9,0],[1,5624,5628,9,0],[1,5654,5782,9,0],[1,5782,5910,9,0],[1,5914,6042,9,0],[1,6071,6199,9,0],[0,6174,6178,9,0],[0,6178,6182,9,0],[0,6182,6186,9,0],[0,6186,6190,9,0],[0,6190,6194,9,0],[0,6194,6198,9,0],[1,6199,6203,9,0],[0,6199,6203,9,0],[1,6203,6207,9,0],[0,6204,6208,9,0],[1,6207,6211,9,0],[0,6208,6212,9,0],[1,6211,6215,9,0],[0,6212,6216,9,0],[1,6215,6219,9,0],[0,6216,6220,9,0],[1,6219,6223,9,0],[0,6220,6224,9,0],[1,6224,6228,9,0],[0,6225,6229,9,0],[1,6229,6233,9,0],[1,6233,6237,9,0],[0,6234,6238,9,0],[1,6237,6241,9,0],[0,6238,6242,9,0],[1,6241,6245,9,0],[0,6242,6246,9,0],[1,6245,6249,9,0],[1,6250,6254,9,0],[1,6259,6263,9,0],[1,6263,6267,9,0],[1,6267,6271,9,0]],[[1,98,138,10,0],[1,138,178,10,0],[1,178,218,10,0],[1,218,258,10,0],[1,258,262,10,0],[1,262,266,10,0],[1,266,270,10,0],[1,271,275,10,0],[1,275,279,10,0],[1,279,343,10,0],[1,345,409,10,0],[1,409,473,10,0],[1,473,537,10,0],[1,537,541,10,0],[1,542,546,10,0],[1,546,550,10,0],[1,550,554,10,0],[1,554,558,10,0],[1,558,562,10,0],[1,563,567,10,0],[1,568,572,10,0],[1,574,638,10,0],[1,638,702,10,0],[1,702,766,10,0],[1,766,830,10,0],[1,830,834,10,0],[1,834,838,10,0],[1,838,842,10,0],[1,842,846,10,0],[1,846,850,10,0],[1,850,854,10,0],[1,856,860,10,0],[1,860,864,10,0],[1,864,928,10,0],[1,928,992,10,0],[1,992,1056,10,0],[1,1056,1120,10,0],[1,1120,1124,10,0],[1,1124,1128,10,0],[1,1128,1132,10,0],[0,1130,1194,10,0],[1,1132,1136,10,0],[1,1136,1140,10,0],[1,1140,1144,10,0],[1,1146,1150,10,0],[1,1150,1154,10,0],[1,1154,1218,10,0],[0,1194,1258,10,0],[1,1218,1282,10,0],[0,1258,1322,10,0],[1,1282,1346,10,0],[0,1322,1386,10,0],[1,1346,1410,10,0],[0,1386,1390,10,0],[0,1390,1394,10,0],[0,1394,1398,10,0],[0,1398,1402,10,0],[0,1402,1406,10,0],[0,1406,1410,10,0],[1,1410,1414,10,0],[0,1412,1416,10,0],[1,1414,1418,10,0],[0,1416,1420,10,0],[1,1418,1422,10,0],[1,1422,1426,10,0],[1,1426,1430,10,0],[1,1430,1434,10,0],[1,1436,1440,10,0],[1,1440,1444,10,0],[1,1444,1508,10,0],[1,1508,1572,10,0],[1,1572,1636,10,0],[1,1636,1700,10,0],[1,1700,1704,10,0],[1,1704,1708,10,0],[1,1708,1712,10,0],[1,1712,1716,10,0],[1,1716,1720,10,0],[1,1720,1724,10,0],[1,1726,1730,10,0],[1,1730,1734,10,0],[1,1734,1798,10,0],[1,1798,1862,10,0],[1,1862,1926,10,0],[1,1926,1990,10,0],[1,1990,1994,10,0],[1,1994,1998,10,0],[1,1998,2002,10,0],[1,2002,2006,10,0],[1,2006,2010,10,0],[1,2010,2014,10,0],[1,2016,2020,10,0],[1,2020,2024,10,0],[1,2032,2096,10,0],[1,2096,2160,10,0],[1,2160,2224,10,0],[1,2224,2288,10,0],[1,2288,2292,10,0],[1,2292,2296,10,0],[1,2296,2300,10,0],[1,2300,2304,10,0],[1,2304,2308,10,0],[1,2308,2312,10,0],[1,2315,2319,10,0],[1,2319,2323,10,0],[1,2323,2387,10,0],[1,2387,2451,10,0],[1,2451,2515,10,0],[1,2515,2579,10,0],[1,2579,2583,10,0],[1,2583,2587,10,0],[1,2587,2591,10,0],[1,2591,2595,10,0],[1,2595,2599,10,0],[1,2599,2603,10,0],[1,2605,2609,10,0],[1,2609,2613,10,0],[1,2614,2678,10,0],[1,2678,2742,10,0],[1,2742,2806,10,0],[1,2806,2870,10,0],[1,2870,2874,10,0],[1,2874,2878,10,0],[1,2878,2882,10,0],[1,2882,2886,10,0],[1,2886,2890,10,0],[1,2890,2894,10,0],[1,2896,2900,10,0],[1,2900,2904,10,0],[1,2916,2948,10,0],[1,2948,2980,10,0],[1,2980,3012,10,0],[1,3012,3044,10,0],[1,3044,3048,10,0],[1,3048,3052,10,0],[1,3052,3056,10,0],[1,3056,3060,10,0],[1,3321,3449,9,0],[1,3449,3577,9,0],[1,3577,3705,9,0],[1,3705,3833,9,0],[1,3833,3961,9,0],[1,3961,4089,9,0],[1,4089,4217,9,0],[1,4217,4345,9,0],[1,4367,4495,9,0],[1,4495,4623,9,0],[1,4623,4751,9,0],[1,4751,4879,9,0],[0,4825,4829,9,0],[0,4829,4833,9,0],[0,4833,4837,9,0],[0,4837,4841,9,0],[0,4841,4845,9,0],[0,4845,4849,9,0],[0,4849,4853,9,0],[0,4853,4857,9,0],[0,4857,4861,9,0],[0,4861,4865,9,0],[0,4865,4869,9,0],[0,4869,4873,9,0],[0,4873,4877,9,0],[0,4877,4881,9,0],[1,4879,5007,9,0],[0,4881,4885,9,0],[0,4885,4889,9,0],[0,4889,4893,9,0],[0,4893,4897,9,0],[0,4897,4901,9,0],[0,4901,4905,9,0],[0,4905,4909,9,0],[0,4909,4913,9,0],[0,4913,4917,9,0],[0,4917,4921,9,0],[0,4921,4925,9,0],[0,4925,4929,9,0],[0,4929,4933,9,0],[0,4933,4937,9,0],[0,4937,4941,9,0],[0,4941,4945,9,0],[0,4945,4949,9,0],[0,4949,4953,9,0],[0,4953,4957,9,0],[0,4957,4961,9,0],[0,4961,4965,9,0],[0,4965,4969,9,0],[0,4969,4973,9,0],[0,4973,4977,9,0],[0,4977,4981,9,0],[0,4981,4985,9,0],[0,4985,4989,9,0],[0,4989,4993,9,0],[0,4993,4997,9,0],[0,4997,5001,9,0],[0,5001,5005,9,0],[0,5005,5009,9,0],[1,5007,5135,9,0],[0,5009,5013,9,0],[0,5013,5017,9,0],[1,5135,5263,9,0],[1,5263,5391,9,0],[1,5562,5566,9,0],[1,5566,5570,9,0],[1,5570,5574,9,0],[1,5574,5578,9,0],[1,5578,5582,9,0],[1,5582,5586,9,0],[1,5586,5590,9,0],[1,5590,5594,9,0],[1,5594,5598,9,0],[1,5598,5602,9,0],[1,5602,5606,9,0],[1,5606,5610,9,0],[1,5610,5614,9,0],[1,5614,5618,9,0],[1,5618,5622,9,0],[1,5622,5626,9,0],[1,5626,5630,9,0],[1,5630,5634,9,0],[1,5634,5638,9,0],[1,5638,5642,9,0],[1,5642,5646,9,0],[1,5646,5650,9,0],[1,5650,5654,9,0],[1,5654,5658,9,0],[1,5658,5662,9,0],[1,5662,5666,9,0],[1,5666,5670,9,0],[1,5670,5674,9,0],[1,5674,5678,9,0],[1,5678,5682,9,0],[1,5682,5686,9,0],[1,5686,5690,9,0],[1,5690,5694,9,0],[1,5694,5698,9,0],[1,5698,5702,9,0],[1,5702,5706,9,0],[1,5706,5710,9,0],[1,5710,5714,9,0],[1,5714,5718,9,0],[1,5718,5722,9,0],[1,5722,5726,9,0],[1,5726,5730,9,0],[1,5730,5734,9,0],[1,5734,5738,9,0],[1,5738,5742,9,0],[1,5742,5746,9,0],[1,5746,5750,9,0],[1,5750,5754,9,0],[1,5754,5758,9,0],[1,5758,5762,9,0],[1,5762,5766,9,0],[1,5766,5770,9,0],[1,5770,5774,9,0],[1,5774,5778,9,0],[1,5778,5782,9,0],[1,5782,5786,9,0],[1,5786,5790,9,0],[1,5790,5794,9,0],[1,5794,5798,9,0],[1,5798,5802,9,0],[1,5802,5806,9,0],[1,5806,5810,9,0],[1,5810,5814,9,0],[1,5814,5818,9,0],[1,5818,5946,9,0],[1,5946,6074,9,0],[1,6074,6202,9,0],[1,6202,6330,9,0],[0,6308,6312,9,0],[0,6312,6316,9,0],[0,6316,6320,9,0],[0,6320,6324,9,0],[0,6324,6328,9,0],[0,6328,6332,9,0],[1,6332,6336,9,0],[0,6334,6338,9,0],[1,6336,6340,9,0],[0,6338,6342,9,0],[1,6340,6344,9,0],[0,6342,6346,9,0],[1,6344,6348,9,0],[0,6346,6350,9,0],[1,6348,6352,9,0],[0,6350,6354,9,0],[1,6352,6356,9,0],[0,6354,6358,9,0],[1,6358,6362,9,0],[1,6362,6366,9,0],[1,6366,6370,9,0],[1,6370,6374,9,0],[1,6374,6378,9,0],[1,6378,6382,9,0],[0,6380,6384,9,0],[0,6384,6388,9,0],[0,6388,6392,9,0],[0,6392,6396,9,0],[1,6404,6408,9,0],[1,6408,6412,9,0],[1,6412,6416,9,0],[1,6416,6420,9,0]],[[0,74,106,10,0],[1,98,130,10,0],[0,106,138,10,0],[1,130,162,10,0],[0,138,170,10,0],[1,162,194,10,0],[0,170,202,10,0],[1,194,226,10,0],[0,202,206,10,0],[0,206,210,10,0],[0,210,214,10,0],[0,214,218,10,0],[1,226,230,10,0],[1,230,234,10,0],[1,234,238,10,0],[1,238,242,10,0],[1,244,308,10,0],[1,308,372,10,0],[1,372,436,10,0],[1,436,500,10,0],[1,500,504,10,0],[1,504,508,10,0],[1,508,512,10,0],[1,512,516,10,0],[1,516,520,10,0],[1,520,524,10,0],[1,526,530,10,0],[1,530,534,10,0],[1,534,598,10,0],[1,598,662,10,0],[1,662,726,10,0],[1,726,790,10,0],[1,790,794,10,0],[1,794,798,10,0],[1,798,802,10,0],[1,802,806,10,0],[1,806,810,10,0],[1,810,814,10,0],[1,816,820,10,0],[1,820,824,10,0],[1,834,898,10,0],[1,899,963,10,0],[1,963,1027,10,0],[1,1027,1091,10,0],[1,1091,1095,10,0],[1,1096,1100,10,0],[1,1100,1104,10,0],[1,1104,1108,10,0],[1,1108,1112,10,0],[1,1112,1116,10,0],[1,1117,1121,10,0],[1,1122,1126,10,0],[1,1126,1190,10,0],[1,1190,1254,10,0],[1,1254,1318,10,0],[1,1318,1382,10,0],[1,1382,1386,10,0],[1,1386,1390,10,0],[1,1390,1394,10,0],[1,1394,1398,10,0],[1,1398,1402,10,0],[1,1402,1406,10,0],[1,1408,1412,10,0],[1,1412,1416,10,0],[1,1416,1480,10,0],[1,1480,1544,10,0],[1,1544,1608,10,0],[1,1608,1672,10,0],[1,1672,1676,10,0],[1,1676,1680,10,0],[1,1680,1684,10,0],[1,1684,1688,10,0],[1,1688,1692,10,0],[1,1692,1696,10,0],[1,1698,1702,10,0],[1,1702,1706,10,0],[1,1723,1787,10,0],[1,1787,1851,10,0],[1,1851,1915,10,0],[1,1915,1979,10,0],[1,1979,1983,10,0],[1,1983,1987,10,0],[1,1987,1991,10,0],[1,1991,1995,10,0],[1,1995,1999,10,0],[1,1999,2003,10,0],[1,2006,2010,10,0],[1,2010,2014,10,0],[1,2014,2078,10,0],[1,2078,2142,10,0],[1,2142,2206,10,0],[1,2206,2270,10,0],[1,2270,2274,10,0],[1,2274,2278,10,0],[1,2278,2282,10,0],[1,2282,2286,10,0],[1,2286,2290,10,0],[1,2290,2294,10,0],[1,2296,2300,10,0],[1,2300,2304,10,0],[1,2304,2368,10,0],[1,2368,2432,10,0],[1,2432,2496,10,0],[1,2496,2560,10,0],[1,2560,2564,10,0],[1,2564,2568,10,0],[1,2568,2572,10,0],[1,2572,2576,10,0],[1,2576,2580,10,0],[1,2580,2584,10,0],[1,2586,2590,10,0],[1,2590,2594,10,0],[1,2596,2660,10,0],[1,2661,2725,10,0],[1,2726,2790,10,0],[1,2791,2855,10,0],[1,2856,2860,10,0],[1,2860,2864,10,0],[1,2864,2868,10,0],[1,2868,2872,10,0],[1,2872,2876,10,0],[1,2876,2880,10,0],[0,2879,2911,10,0],[1,2882,2886,10,0],[1,2886,2890,10,0],[1,2890,2930,10,0],[0,2911,2943,10,0],[1,2930,2970,10,0],[0,2943,2975,10,0],[1,2971,3011,10,0],[0,2975,3007,10,0],[0,3008,3012,10,0],[1,3011,3051,10,0],[0,3012,3016,10,0],[0,3016,3020,10,0],[0,3020,3024,10,0],[1,3051,3055,10,0],[1,3055,3059,10,0],[1,3059,3063,10,0],[1,3063,3067,10,0],[1,3067,3071,10,0],[0,3263,3391,9,0],[1,3347,3475,9,0],[0,3391,3519,9,0],[1,3475,3603,9,0],[1,3603,3731,9,0],[1,3731,3859,9,0],[1,3859,3987,9,0],[1,3987,4115,9,0],[1,4115,4243,9,0],[1,4243,4371,9,0],[1,4371,4499,9,0],[0,4431,4559,9,0],[1,4499,4627,9,0],[0,4559,4687,9,0],[1,4627,4755,9,0],[1,4755,4883,9,0],[1,4883,5011,9,0],[1,5011,5139,9,0],[1,5139,5267,9,0],[1,5267,5395,9,0],[1,5395,5399,9,0],[1,5399,5403,9,0],[1,5403,5407,9,0],[1,5407,5411,9,0],[1,5412,5416,9,0],[1,5416,5420,9,0],[1,5420,5424,9,0],[1,5424,5428,9,0],[1,5428,5432,9,0],[1,5432,5436,9,0],[1,5436,5440,9,0],[1,5440,5444,9,0],[1,5444,5448,9,0],[1,5448,5452,9,0],[1,5452,5456,9,0],[1,5456,5460,9,0],[1,5460,5464,9,0],[1,5464,5468,9,0],[1,5468,5472,9,0],[1,5472,5476,9,0],[1,5476,5480,9,0],[1,5480,5484,9,0],[1,5484,5488,9,0],[1,5488,5492,9,0],[1,5492,5496,9,0],[1,5496,5500,9,0],[1,5500,5504,9,0],[1,5504,5508,9,0],[1,5508,5512,9,0],[1,5512,5516,9,0],[1,5516,5520,9,0],[1,5520,5524,9,0],[1,5524,5528,9,0],[1,5528,5532,9,0],[1,5532,5536,9,0],[1,5536,5540,9,0],[1,5540,5544,9,0],[1,5544,5548,9,0],[1,5548,5552,9,0],[1,5552,5556,9,0],[1,5556,5560,9,0],[1,5560,5564,9,0],[1,5564,5568,9,0],[1,5568,5572,9,0],[1,5572,5576,9,0],[1,5576,5580,9,0],[1,5580,5584,9,0],[1,5584,5588,9,0],[1,5588,5592,9,0],[1,5592,5596,9,0],[1,5596,5600,9,0],[1,5600,5604,9,0],[1,5604,5608,9,0],[1,5608,5612,9,0],[1,5612,5616,9,0],[1,5616,5620,9,0],[1,5620,5624,9,0],[1,5624,5628,9,0],[1,5628,5632,9,0],[1,5632,5636,9,0],[1,5636,5640,9,0],[1,5640,5644,9,0],[1,5644,5648,9,0],[1,5648,5652,9,0],[1,5652,5780,9,0],[1,5782,5910,9,0],[1,5910,6038,9,0],[1,6038,6166,9,0],[1,6166,6170,9,0],[1,6170,6174,9,0],[1,6174,6178,9,0],[1,6178,6182,9,0],[1,6182,6186,9,0],[1,6186,6190,9,0],[1,6190,6194,9,0],[1,6194,6198,9,0],[1,6198,6202,9,0],[1,6202,6206,9,0],[1,6206,6210,9,0],[1,6210,6214,9,0],[1,6214,6218,9,0],[1,6218,6222,9,0],[1,6222,6226,9,0],[1,6226,6230,9,0]],[[1,98,138,10,0],[1,138,178,10,0],[1,178,218,10,0],[1,218,258,10,0],[1,258,262,10,0],[1,262,266,10,0],[1,266,270,10,0],[1,273,277,10,0],[1,277,281,10,0],[1,281,345,10,0],[1,347,411,10,0],[1,411,475,10,0],[1,475,539,10,0],[1,539,543,10,0],[1,545,549,10,0],[1,549,553,10,0],[1,553,557,10,0],[1,557,561,10,0],[1,561,565,10,0],[1,565,569,10,0],[1,570,574,10,0],[1,574,638,10,0],[1,638,702,10,0],[1,702,766,10,0],[1,766,830,10,0],[1,830,834,10,0],[1,834,838,10,0],[1,838,842,10,0],[1,842,846,10,0],[1,846,850,10,0],[1,850,854,10,0],[1,855,859,10,0],[1,859,863,10,0],[1,863,927,10,0],[1,927,991,10,0],[1,991,1055,10,0],[1,1055,1119,10,0],[1,1119,1123,10,0],[1,1123,1127,10,0],[1,1127,1131,10,0],[0,1128,1192,10,0],[1,1131,1135,10,0],[1,1135,1139,10,0],[1,1139,1143,10,0],[1,1144,1148,10,0],[1,1148,1152,10,0],[1,1153,1217,10,0],[0,1192,1256,10,0],[1,1217,1281,10,0],[0,1256,1320,10,0],[1,1281,1345,10,0],[0,1320,1384,10,0],[1,1345,1409,10,0],[0,1384,1388,10,0],[0,1388,1392,10,0],[0,1392,1396,10,0],[0,1396,1400,10,0],[0,1400,1404,10,0],[0,1404,1408,10,0],[1,1409,1413,10,0],[0,1410,1414,10,0],[1,1413,1417,10,0],[0,1414,1418,10,0],[1,1417,1421,10,0],[1,1421,1425,10,0],[1,1425,1429,10,0],[1,1429,1433,10,0],[1,1435,1439,10,0],[1,1439,1443,10,0],[1,1443,1507,10,0],[1,1507,1571,10,0],[1,1571,1635,10,0],[1,1635,1699,10,0],[1,1699,1703,10,0],[1,1703,1707,10,0],[1,1707,1711,10,0],[1,1711,1715,10,0],[1,1715,1719,10,0],[1,1719,1723,10,0],[1,1724,1728,10,0],[1,1728,1732,10,0],[1,1732,1796,10,0],[1,1796,1860,10,0],[1,1860,1924,10,0],[1,1924,1988,10,0],[1,1988,1992,10,0],[1,1992,1996,10,0],[1,1996,2000,10,0],[1,2000,2004,10,0],[1,2004,2008,10,0],[1,2008,2012,10,0],[1,2013,2017,10,0],[1,2017,2021,10,0],[1,2025,2089,10,0],[1,2089,2153,10,0],[1,2153,2217,10,0],[1,2217,2281,10,0],[1,2281,2285,10,0],[1,2285,2289,10,0],[1,2289,2293,10,0],[1,2293,2297,10,0],[1,2297,2301,10,0],[1,2301,2305,10,0],[1,2306,2310,10,0],[1,2310,2314,10,0],[1,2314,2378,10,0],[1,2378,2442,10,0],[1,2442,2506,10,0],[1,2506,2570,10,0],[1,2570,2574,10,0],[1,2574,2578,10,0],[1,2578,2582,10,0],[1,2582,2586,10,0],[1,2586,2590,10,0],[1,2590,2594,10,0],[1,2595,2599,10,0],[1,2599,2603,10,0],[1,2603,2667,10,0],[1,2667,2731,10,0],[1,2731,2795,10,0],[1,2795,2859,10,0],[1,2859,2863,10,0],[1,2863,2867,10,0],[1,2867,2871,10,0],[1,2871,2875,10,0],[1,2875,2879,10,0],[1,2879,2883,10,0],[1,2884,2888,10,0],[1,2888,2892,10,0],[1,2892,2924,10,0],[1,2924,2956,10,0],[1,2956,2988,10,0],[1,2988,3020,10,0],[1,3020,3024,10,0],[1,3024,3028,10,0],[1,3028,3032,10,0],[1,3032,3036,10,0],[1,3309,3437,9,0],[1,3437,3565,9,0],[1,3565,3693,9,0],[1,3693,3821,9,0],[1,3821,3949,9,0],[1,3949,4077,9,0],[1,4077,4205,9,0],[1,4205,4333,9,0],[1,4362,4490,9,0],[1,4490,4618,9,0],[1,4618,4746,9,0],[1,4746,4874,9,0],[0,4812,4816,9,0],[0,4816,4820,9,0],[0,4820,4824,9,0],[0,4824,4828,9,0],[0,4828,4832,9,0],[0,4832,4836,9,0],[0,4836,4840,9,0],[0,4840,4844,9,0],[0,4844,4848,9,0],[0,4848,4852,9,0],[0,4852,4856,9,0],[0,4856,4860,9,0],[0,4860,4864,9,0],[0,4864,4868,9,0],[0,4868,4872,9,0],[0,4872,4876,9,0],[1,4875,5003,9,0],[0,4876,4880,9,0],[0,4880,4884,9,0],[0,4884,4888,9,0],[0,4888,4892,9,0],[0,4892,4896,9,0],[0,4896,4900,9,0],[0,4900,4904,9,0],[0,4904,4908,9,0],[0,4908,4912,9,0],[0,4912,4916,9,0],[0,4916,4920,9,0],[0,4920,4924,9,0],[0,4924,4928,9,0],[0,4928,4932,9,0],[0,4932,4936,9,0],[0,4936,4940,9,0],[0,4940,4944,9,0],[0,4944,4948,9,0],[0,4948,4952,9,0],[0,4952,4956,9,0],[0,4956,4960,9,0],[0,4960,4964,9,0],[0,4964,4968,9,0],[0,4968,4972,9,0],[0,4972,4976,9,0],[0,4976,4980,9,0],[0,4980,4984,9,0],[0,4984,4988,9,0],[0,4988,4992,9,0],[0,4992,4996,9,0],[0,4996,5000,9,0],[0,5000,5004,9,0],[1,5003,5131,9,0],[1,5131,5259,9,0],[1,5259,5387,9,0],[1,5546,5550,9,0],[1,5550,5554,9,0],[1,5554,5558,9,0],[1,5558,5562,9,0],[1,5562,5566,9,0],[1,5566,5570,9,0],[1,5570,5574,9,0],[1,5574,5578,9,0],[1,5578,5582,9,0],[1,5582,5586,9,0],[1,5586,5590,9,0],[1,5590,5594,9,0],[1,5594,5598,9,0],[1,5598,5602,9,0],[1,5602,5606,9,0],[1,5606,5610,9,0],[1,5610,5614,9,0],[1,5614,5618,9,0],[1,5618,5622,9,0],[1,5622,5626,9,0],[1,5626,5630,9,0],[1,5630,5634,9,0],[1,5634,5638,9,0],[1,5638,5642,9,0],[1,5642,5646,9,0],[1,5646,5650,9,0],[1,5650,5654,9,0],[1,5654,5658,9,0],[1,5658,5662,9,0],[1,5662,5666,9,0],[1,5666,5670,9,0],[1,5670,5674,9,0],[1,5674,5678,9,0],[1,5678,5682,9,0],[1,5682,5686,9,0],[1,5686,5690,9,0],[1,5690,5694,9,0],[1,5694,5698,9,0],[1,5698,5702,9,0],[1,5702,5706,9,0],[1,5706,5710,9,0],[1,5710,5714,9,0],[1,5714,5718,9,0],[1,5718,5722,9,0],[1,5722,5726,9,0],[1,5726,5730,9,0],[1,5730,5734,9,0],[1,5734,5738,9,0],[1,5738,5742,9,0],[1,5742,5746,9,0],[1,5746,5750,9,0],[1,5750,5754,9,0],[1,5754,5758,9,0],[1,5758,5762,9,0],[1,5762,5766,9,0],[1,5766,5770,9,0],[1,5770,5774,9,0],[1,5774,5778,9,0],[1,5778,5782,9,0],[1,5782,5786,9,0],[1,5786,5790,9,0],[1,5790,5794,9,0],[1,5794,5798,9,0],[1,5798,5802,9,0],[1,5802,5930,9,0],[1,5930,6058,9,0],[1,6058,6186,9,0],[1,6189,6317,9,0],[0,6294,6298,9,0],[0,6298,6302,9,0],[0,6302,6306,9,0],[0,6306,6310,9,0],[0,6310,6314,9,0],[0,6314,6318,9,0],[1,6319,6323,9,0],[0,6319,6323,9,0],[1,6323,6327,9,0],[0,6324,6328,9,0],[1,6327,6331,9,0],[0,6328,6332,9,0],[1,6331,6335,9,0],[0,6332,6336,9,0],[1,6335,6339,9,0],[0,6336,6340,9,0],[1,6339,6343,9,0],[0,6340,6344,9,0],[1,6344,6348,9,0],[0,6345,6349,9,0],[1,6349,6353,9,0],[0,6350,6354,9,0],[1,6353,6357,9,0],[0,6354,6358,9,0],[1,6357,6361,9,0],[0,6358,6362,9,0],[1,6361,6365,9,0],[1,6365,6369,9,0],[1,6370,6374,9,0],[1,6375,6379,9,0],[1,6379,6383,9,0],[1,6383,6387,9,0]],[[0,75,107,10,0],[1,100,132,10,0],[0,107,139,10,0],[1,132,164,10,0],[0,139,171,10,0],[1,164,196,10,0],[0,171,203,10,0],[1,196,228,10,0],[0,203,207,10,0],[0,207,211,10,0],[0,211,215,10,0],[0,215,219,10,0],[1,228,232,10,0],[1,232,236,10,0],[1,236,240,10,0],[1,240,244,10,0],[1,246,310,10,0],[1,310,374,10,0],[1,374,438,10,0],[1,438,502,10,0],[1,502,506,10,0],[1,506,510,10,0],[1,510,514,10,0],[1,514,518,10,0],[1,518,522,10,0],[1,522,526,10,0],[1,527,531,10,0],[1,531,535,10,0],[1,535,599,10,0],[1,599,663,10,0],[1,663,727,10,0],[1,727,791,10,0],[1,791,795,10,0],[1,795,799,10,0],[1,799,803,10,0],[1,803,807,10,0],[1,807,811,10,0],[1,811,815,10,0],[1,816,820,10,0],[1,820,824,10,0],[1,832,896,10,0],[1,899,963,10,0],[1,963,1027,10,0],[1,1027,1091,10,0],[1,1091,1095,10,0],[1,1098,1102,10,0],[1,1102,1106,10,0],[1,1106,1110,10,0],[1,1110,1114,10,0],[1,1116,1120,10,0],[1,1120,1124,10,0],[1,1124,1128,10,0],[1,1128,1192,10,0],[1,1192,1256,10,0],[1,1256,1320,10,0],[1,1320,1384,10,0],[1,1384,1388,10,0],[1,1388,1392,10,0],[1,1392,1396,10,0],[1,1396,1400,10,0],[1,1400,1404,10,0],[1,1404,1408,10,0],[1,1409,1413,10,0],[1,1413,1417,10,0],[1,1417,1481,10,0],[1,1481,1545,10,0],[1,1545,1609,10,0],[1,1609,1673,10,0],[1,1673,1677,10,0],[1,1677,1681,10,0],[1,1681,1685,10,0],[1,1685,1689,10,0],[1,1689,1693,10,0],[1,1693,1697,10,0],[1,1698,1702,10,0],[1,1702,1706,10,0],[1,1722,1786,10,0],[1,1786,1850,10,0],[1,1850,1914,10,0],[1,1914,1978,10,0],[1,1978,1982,10,0],[1,1982,1986,10,0],[1,1986,1990,10,0],[1,1990,1994,10,0],[1,1994,1998,10,0],[1,1998,2002,10,0],[1,2003,2007,10,0],[1,2007,2011,10,0],[1,2011,2075,10,0],[1,2075,2139,10,0],[1,2139,2203,10,0],[1,2203,2267,10,0],[1,2267,2271,10,0],[1,2271,2275,10,0],[1,2275,2279,10,0],[1,2279,2283,10,0],[1,2283,2287,10,0],[1,2287,2291,10,0],[1,2292,2296,10,0],[1,2296,2300,10,0],[1,2300,2364,10,0],[1,2364,2428,10,0],[1,2428,2492,10,0],[1,2492,2556,10,0],[1,2556,2560,10,0],[1,2560,2564,10,0],[1,2564,2568,10,0],[1,2568,2572,10,0],[1,2572,2576,10,0],[1,2576,2580,10,0],[1,2581,2585,10,0],[1,2585,2589,10,0],[1,2589,2653,10,0],[1,2656,2720,10,0],[1,2722,2786,10,0],[1,2788,2852,10,0],[1,2854,2858,10,0],[1,2858,2862,10,0],[0,2859,2891,10,0],[1,2862,2866,10,0],[1,2866,2870,10,0],[1,2870,2874,10,0],[1,2874,2878,10,0],[1,2879,2883,10,0],[1,2883,2887,10,0],[1,2891,2931,10,0],[0,2892,2924,10,0],[0,2924,2956,10,0],[1,2931,2971,10,0],[0,2956,2988,10,0],[1,2971,3011,10,0],[0,2988,2992,10,0],[0,2992,2996,10,0],[0,2996,3000,10,0],[0,3000,3004,10,0],[1,3011,3051,10,0],[1,3051,3055,10,0],[1,3055,3059,10,0],[1,3059,3063,10,0],[1,3063,3067,10,0],[1,3067,3071,10,0],[0,3251,3379,9,0],[1,3336,3464,9,0],[0,3379,3507,9,0],[1,3464,3592,9,0],[1,3592,3720,9,0],[1,3720,3848,9,0],[1,3848,3976,9,0],[1,3976,4104,9,0],[1,4104,4232,9,0],[1,4232,4360,9,0],[1,4360,4488,9,0],[0,4423,4551,9,0],[1,4488,4616,9,0],[0,4551,4679,9,0],[1,4616,4744,9,0],[1,4744,4872,9,0],[1,4872,5000,9,0],[1,5000,5128,9,0],[1,5128,5256,9,0],[1,5256,5384,9,0],[1,5384,5388,9,0],[1,5388,5392,9,0],[1,5392,5396,9,0],[1,5396,5400,9,0],[1,5400,5404,9,0],[1,5404,5408,9,0],[1,5408,5412,9,0],[1,5412,5416,9,0],[1,5416,5420,9,0],[1,5420,5424,9,0],[1,5424,5428,9,0],[1,5428,5432,9,0],[1,5432,5436,9,0],[1,5436,5440,9,0],[1,5440,5444,9,0],[1,5444,5448,9,0],[1,5448,5452,9,0],[1,5452,5456,9,0],[1,5456,5460,9,0],[1,5460,5464,9,0],[1,5464,5468,9,0],[1,5468,5472,9,0],[1,5472,5476,9,0],[1,5476,5480,9,0],[1,5480,5484,9,0],[1,5484,5488,9,0],[1,5488,5492,9,0],[1,5492,5496,9,0],[1,5496,5500,9,0],[1,5500,5504,9,0],[1,5504,5508,9,0],[1,5508,5512,9,0],[1,5512,5516,9,0],[1,5516,5520,9,0],[1,5520,5524,9,0],[1,5524,5528,9,0],[1,5528,5532,9,0],[1,5532,5536,9,0],[1,5536,5540,9,0],[1,5540,5544,9,0],[1,5544,5548,9,0],[1,5548,5552,9,0],[1,5552,5556,9,0],[1,5556,5560,9,0],[1,5560,5564,9,0],[1,5564,5568,9,0],[1,5568,5572,9,0],[1,5572,5576,9,0],[1,5576,5580,9,0],[1,5580,5584,9,0],[1,5584,5588,9,0],[1,5588,5592,9,0],[1,5592,5596,9,0],[1,5596,5600,9,0],[1,5600,5604,9,0],[1,5604,5608,9,0],[1,5608,5612,9,0],[1,5612,5616,9,0],[1,5616,5620,9,0],[1,5620,5624,9,0],[1,5624,5628,9,0],[1,5628,5632,9,0],[1,5632,5636,9,0],[1,5636,5640,9,0],[1,5640,5768,9,0],[1,5770,5898,9,0],[1,5898,6026,9,0],[1,6026,6154,9,0],[1,6154,6158,9,0],[1,6158,6162,9,0],[1,6162,6166,9,0],[1,6166,6170,9,0],[1,6170,6174,9,0],[1,6174,6178,9,0],[1,6178,6182,9,0],[1,6182,6186,9,0],[1,6186,6190,9,0],[1,6190,6194,9,0],[1,6194,6198,9,0],[1,6198,6202,9,0],[1,6202,6206,9,0],[1,6206,6210,9,0],[1,6210,6214,9,0],[1,6214,6218,9,0]],[[0,67,99,10,0],[1,91,123,10,0],[0,99,131,10,0],[1,123,155,10,0],[0,131,163,10,0],[1,155,187,10,0],[0,163,195,10,0],[1,187,219,10,0],[0,195,199,10,0],[0,199,203,10,0],[0,203,207,10,0],[0,207,211,10,0],[1,219,223,10,0],[1,223,227,10,0],[1,227,231,10,0],[1,231,235,10,0],[1,235,299,10,0],[1,299,363,10,0],[1,363,427,10,0],[1,427,491,10,0],[1,491,495,10,0],[1,495,499,10,0],[1,499,503,10,0],[1,503,507,10,0],[1,507,511,10,0],[1,511,515,10,0],[1,518,522,10,0],[1,522,526,10,0],[1,526,590,10,0],[1,590,654,10,0],[1,654,718,10,0],[1,718,782,10,0],[1,782,786,10,0],[1,786,790,10,0],[1,790,794,10,0],[1,794,798,10,0],[1,798,802,10,0],[1,802,806,10,0],[1,808,812,10,0],[1,812,816,10,0],[1,824,888,10,0],[1,888,952,10,0],[1,952,1016,10,0],[1,1016,1080,10,0],[1,1080,1084,10,0],[1,1084,1088,10,0],[1,1088,1092,10,0],[1,1092,1096,10,0],[1,1096,1100,10,0],[1,1100,1104,10,0],[1,1107,1111,10,0],[1,1111,1115,10,0],[1,1115,1179,10,0],[1,1179,1243,10,0],[1,1243,1307,10,0],[1,1307,1371,10,0],[1,1371,1375,10,0],[1,1375,1379,10,0],[1,1379,1383,10,0],[1,1383,1387,10,0],[1,1387,1391,10,0],[1,1391,1395,10,0],[1,1398,1402,10,0],[1,1402,1406,10,0],[1,1406,1470,10,0],[1,1470,1534,10,0],[1,1534,1598,10,0],[1,1598,1662,10,0],[1,1662,1666,10,0],[1,1666,1670,10,0],[1,1670,1674,10,0],[1,1674,1678,10,0],[1,1678,1682,10,0],[1,1682,1686,10,0],[1,1688,1692,10,0],[1,1692,1696,10,0],[1,1712,1776,10,0],[1,1776,1840,10,0],[1,1840,1904,10,0],[1,1904,1968,10,0],[1,1968,1972,10,0],[1,1972,1976,10,0],[1,1976,1980,10,0],[1,1980,1984,10,0],[1,1984,1988,10,0],[1,1988,1992,10,0],[1,1994,1998,10,0],[1,1998,2002,10,0],[1,2002,2066,10,0],[1,2066,2130,10,0],[1,2130,2194,10,0],[1,2194,2258,10,0],[1,2258,2262,10,0],[1,2262,2266,10,0],[1,2266,2270,10,0],[1,2270,2274,10,0],[1,2274,2278,10,0],[1,2278,2282,10,0],[1,2284,2288,10,0],[1,2288,2292,10,0],[1,2292,2356,10,0],[1,2356,2420,10,0],[1,2420,2484,10,0],[1,2484,2548,10,0],[1,2548,2552,10,0],[1,2552,2556,10,0],[1,2556,2560,10,0],[1,2560,2564,10,0],[1,2564,2568,10,0],[1,2568,2572,10,0],[1,2574,2578,10,0],[1,2578,2582,10,0],[1,2582,2646,10,0],[1,2646,2710,10,0],[1,2710,2774,10,0],[1,2774,2838,10,0],[1,2838,2842,10,0],[1,2842,2846,10,0],[1,2846,2850,10,0],[1,2850,2854,10,0],[1,2854,2858,10,0],[1,2858,2862,10,0],[1,2864,2868,10,0],[1,2868,2872,10,0],[0,2878,2910,10,0],[1,2888,2928,10,0],[0,2910,2942,10,0],[1,2928,2968,10,0],[0,2942,2974,10,0],[1,2970,3010,10,0],[0,2974,3006,10,0],[0,3007,3011,10,0],[1,3010,3050,10,0],[0,3011,3015,10,0],[0,3015,3019,10,0],[0,3019,3023,10,0],[1,3050,3054,10,0],[1,3054,3058,10,0],[1,3058,3062,10,0],[1,3062,3066,10,0],[1,3066,3070,10,0],[0,3270,3398,9,0],[1,3354,3482,9,0],[0,3398,3526,9,0],[1,3482,3610,9,0],[1,3610,3738,9,0],[1,3738,3866,9,0],[1,3866,3994,9,0],[1,3994,4122,9,0],[1,4122,4250,9,0],[1,4250,4378,9,0],[1,4378,4506,9,0],[0,4435,4563,9,0],[1,4506,4634,9,0],[0,4563,4691,9,0],[1,4634,4762,9,0],[1,4762,4890,9,0],[1,4890,5018,9,0],[1,5018,5146,9,0],[1,5146,5274,9,0],[1,5274,5402,9,0],[1,5402,5406,9,0],[1,5406,5410,9,0],[1,5410,5414,9,0],[1,5414,5418,9,0],[1,5418,5422,9,0],[1,5422,5426,9,0],[1,5426,5430,9,0],[1,5430,5434,9,0],[1,5434,5438,9,0],[1,5438,5442,9,0],[1,5442,5446,9,0],[1,5446,5450,9,0],[1,5450,5454,9,0],[1,5454,5458,9,0],[1,5458,5462,9,0],[1,5462,5466,9,0],[1,5466,5470,9,0],[1,5470,5474,9,0],[1,5474,5478,9,0],[1,5478,5482,9,0],[1,5482,5486,9,0],[1,5486,5490,9,0],[1,5490,5494,9,0],[1,5494,5498,9,0],[1,5498,5502,9,0],[1,5502,5506,9,0],[1,5506,5510,9,0],[1,5510,5514,9,0],[1,5514,5518,9,0],[1,5518,5522,9,0],[1,5522,5526,9,0],[1,5526,5530,9,0],[1,5530,5534,9,0],[1,5534,5538,9,0],[1,5538,5542,9,0],[1,5542,5546,9,0],[1,5546,5550,9,0],[1,5550,5554,9,0],[1,5554,5558,9,0],[1,5558,5562,9,0],[1,5562,5566,9,0],[1,5566,5570,9,0],[1,5570,5574,9,0],[1,5574,5578,9,0],[1,5578,5582,9,0],[1,5582,5586,9,0],[1,5586,5590,9,0],[1,5590,5594,9,0],[1,5594,5598,9,0],[1,5598,5602,9,0],[1,5602,5606,9,0],[1,5606,5610,9,0],[1,5610,5614,9,0],[1,5614,5618,9,0],[1,5618,5622,9,0],[1,5622,5626,9,0],[1,5626,5630,9,0],[1,5630,5634,9,0],[1,5634,5638,9,0],[1,5638,5642,9,0],[1,5642,5646,9,0],[1,5646,5650,9,0],[1,5650,5654,9,0],[1,5654,5658,9,0],[1,5658,5786,9,0],[1,5788,5916,9,0],[1,5916,6044,9,0],[1,6044,6172,9,0],[1,6172,6176,9,0],[1,6176,6180,9,0],[1,6180,6184,9,0],[1,6184,6188,9,0],[1,6188,6192,9,0],[1,6192,6196,9,0],[1,6196,6200,9,0],[1,6200,6204,9,0],[1,6204,6208,9,0],[1,6208,6212,9,0],[1,6212,6216,9,0],[1,6216,6220,9,0],[1,6220,6224,9,0],[1,6224,6228,9,0],[1,6228,6232,9,0],[1,6232,6236,9,0]],[[1,101,133,10,0],[1,133,165,10,0],[1,165,197,10,0],[1,197,229,10,0],[1,229,233,10,0],[1,233,237,10,0],[1,237,241,10,0],[1,241,245,10,0],[1,245,309,10,0],[1,309,373,10,0],[1,373,437,10,0],[1,437,501,10,0],[1,501,505,10,0],[1,505,509,10,0],[1,509,513,10,0],[1,513,517,10,0],[1,517,521,10,0],[1,521,525,10,0],[1,527,531,10,0],[1,531,535,10,0],[1,535,599,10,0],[1,599,663,10,0],[1,663,727,10,0],[1,727,791,10,0],[1,791,795,10,0],[1,795,799,10,0],[1,799,803,10,0],[1,803,807,10,0],[1,807,811,10,0],[1,811,815,10,0],[1,818,822,10,0],[1,822,826,10,0],[1,826,890,10,0],[1,890,954,10,0],[1,954,1018,10,0],[1,1018,1082,10,0],[1,1082,1086,10,0],[1,1086,1090,10,0],[1,1090,1094,10,0],[1,1094,1098,10,0],[1,1098,1102,10,0],[1,1102,1106,10,0],[1,1108,1112,10,0],[1,1112,1116,10,0],[1,1116,1180,10,0],[1,1180,1244,10,0],[1,1244,1308,10,0],[1,1308,1372,10,0],[1,1372,1376,10,0],[1,1376,1380,10,0],[1,1380,1384,10,0],[0,1382,1446,10,0],[1,1384,1388,10,0],[1,1388,1392,10,0],[1,1392,1396,10,0],[1,1398,1402,10,0],[1,1402,1406,10,0],[1,1406,1470,10,0],[0,1446,1510,10,0],[1,1470,1534,10,0],[0,1510,1574,10,0],[1,1534,1598,10,0],[0,1574,1638,10,0],[1,1598,1662,10,0],[0,1638,1642,10,0],[0,1642,1646,10,0],[0,1646,1650,10,0],[0,1650,1654,10,0],[0,1654,1658,10,0],[0,1658,1662,10,0],[1,1662,1666,10,0],[0,1664,1668,10,0],[1,1666,1670,10,0],[0,1668,1672,10,0],[1,1670,1674,10,0],[1,1674,1678,10,0],[1,1678,1682,10,0],[1,1682,1686,10,0],[1,1688,1692,10,0],[1,1692,1696,10,0],[1,1712,1776,10,0],[1,1776,1840,10,0],[1,1840,1904,10,0],[1,1904,1968,10,0],[1,1968,1972,10,0],[1,1972,1976,10,0],[1,1976,1980,10,0],[1,1980,1984,10,0],[1,1984,1988,10,0],[1,1988,1992,10,0],[1,1994,1998,10,0],[1,1998,2002,10,0],[1,2002,2066,10,0],[1,2066,2130,10,0],[1,2130,2194,10,0],[1,2194,2258,10,0],[1,2258,2262,10,0],[1,2262,2266,10,0],[1,2266,2270,10,0],[1,2270,2274,10,0],[1,2274,2278,10,0],[1,2278,2282,10,0],[1,2284,2288,10,0],[1,2288,2292,10,0],[1,2300,2364,10,0],[1,2365,2429,10,0],[1,2429,2493,10,0],[1,2493,2557,10,0],[1,2557,2561,10,0],[1,2562,2566,10,0],[1,2566,2570,10,0],[1,2570,2574,10,0],[1,2574,2578,10,0],[1,2578,2582,10,0],[1,2583,2587,10,0],[1,2588,2592,10,0],[1,2592,2656,10,0],[1,2656,2720,10,0],[1,2720,2784,10,0],[1,2784,2848,10,0],[1,2848,2852,10,0],[1,2852,2856,10,0],[1,2856,2860,10,0],[1,2860,2864,10,0],[1,2864,2868,10,0],[1,2868,2872,10,0],[1,2874,2878,10,0],[1,2878,2882,10,0],[1,2886,2926,10,0],[1,2926,2966,10,0],[1,2966,3006,10,0],[1,3006,3046,10,0],[1,3046,3050,10,0],[1,3050,3054,10,0],[1,3054,3058,10,0],[1,3058,3062,10,0],[1,3062,3066,10,0],[0,3259,3387,9,0],[1,3317,3445,9,0],[0,3387,3515,9,0],[1,3445,3573,9,0],[1,3573,3701,9,0],[1,3701,3829,9,0],[1,3829,3957,9,0],[1,3957,4085,9,0],[1,4085,4213,9,0],[1,4213,4341,9,0],[1,4341,4469,9,0],[0,4422,4550,9,0],[1,4469,4597,9,0],[0,4550,4678,9,0],[1,4597,4725,9,0],[1,4725,4853,9,0],[1,4855,4859,9,0],[1,4859,4863,9,0],[1,4863,4867,9,0],[1,4867,4871,9,0],[1,4871,4875,9,0],[1,4875,4879,9,0],[1,4879,4883,9,0],[1,4883,4887,9,0],[1,4887,4891,9,0],[1,4891,4895,9,0],[1,4895,4899,9,0],[1,4899,4903,9,0],[1,4903,4907,9,0],[1,4907,4911,9,0],[1,4911,4915,9,0],[1,4915,4919,9,0],[1,4919,4923,9,0],[1,4923,4927,9,0],[1,4927,4931,9,0],[1,4931,4935,9,0],[1,4935,4939,9,0],[1,4939,4943,9,0],[1,4943,4947,9,0],[1,4947,4951,9,0],[1,4951,4955,9,0],[1,4956,4960,9,0],[1,4960,4964,9,0],[1,4964,4968,9,0],[1,4968,4972,9,0],[1,4972,4976,9,0],[1,4976,4980,9,0],[1,4980,4984,9,0],[1,4984,4988,9,0],[1,4988,4992,9,0],[1,4992,4996,9,0],[1,4996,5000,9,0],[1,5000,5004,9,0],[1,5004,5008,9,0],[1,5008,5012,9,0],[1,5015,5019,9,0],[1,5019,5023,9,0],[1,5023,5027,9,0],[1,5027,5031,9,0],[1,5031,5035,9,0],[1,5035,5039,9,0],[1,5039,5043,9,0],[1,5043,5047,9,0],[1,5047,5051,9,0],[1,5051,5179,9,0],[1,5179,5307,9,0],[1,5309,5437,9,0],[1,5437,5565,9,0],[1,5565,5693,9,0],[1,5693,5821,9,0],[1,5821,5949,9,0],[1,5949,6077,9,0],[1,6077,6081,9,0],[1,6081,6085,9,0],[1,6085,6089,9,0],[1,6089,6093,9,0],[1,6093,6097,9,0],[1,6097,6101,9,0],[1,6101,6105,9,0],[1,6105,6109,9,0],[1,6109,6113,9,0],[1,6113,6117,9,0],[1,6117,6121,9,0],[1,6121,6125,9,0],[1,6125,6129,9,0],[1,6129,6133,9,0],[1,6133,6137,9,0],[1,6137,6141,9,0],[1,6141,6145,9,0],[1,6145,6149,9,0],[1,6149,6153,9,0],[1,6153,6157,9,0],[1,6157,6161,9,0],[1,6161,6165,9,0],[1,6165,6169,9,0],[1,6169,6173,9,0],[1,6173,6177,9,0],[1,6177,6181,9,0],[1,6181,6185,9,0],[1,6185,6189,9,0],[1,6189,6193,9,0],[1,6193,6197,9,0],[1,6197,6201,9,0],[1,6201,6205,9,0]],[[0,68,100,10,0],[1,93,125,10,0],[0,100,132,10,0],[1,125,157,10,0],[0,132,164,10,0],[1,157,189,10,0],[0,164,196,10,0],[1,189,221,10,0],[0,196,200,10,0],[0,200,204,10,0],[0,204,208,10,0],[0,208,212,10,0],[1,221,225,10,0],[1,225,229,10,0],[1,229,233,10,0],[1,233,237,10,0],[1,237,301,10,0],[1,301,365,10,0],[1,365,429,10,0],[1,429,493,10,0],[1,493,497,10,0],[1,497,501,10,0],[1,501,505,10,0],[1,505,509,10,0],[1,509,513,10,0],[1,513,517,10,0],[1,518,522,10,0],[1,522,526,10,0],[1,526,590,10,0],[1,590,654,10,0],[1,654,718,10,0],[1,718,782,10,0],[1,782,786,10,0],[1,786,790,10,0],[1,790,794,10,0],[1,794,798,10,0],[1,798,802,10,0],[1,802,806,10,0],[1,807,811,10,0],[1,811,815,10,0],[1,819,883,10,0],[1,883,947,10,0],[1,947,1011,10,0],[1,1011,1075,10,0],[1,1075,1079,10,0],[1,1079,1083,10,0],[1,1083,1087,10,0],[1,1087,1091,10,0],[1,1091,1095,10,0],[1,1095,1099,10,0],[1,1100,1104,10,0],[1,1104,1108,10,0],[1,1108,1172,10,0],[1,1172,1236,10,0],[1,1236,1300,10,0],[1,1300,1364,10,0],[1,1364,1368,10,0],[1,1368,1372,10,0],[1,1372,1376,10,0],[1,1376,1380,10,0],[1,1380,1384,10,0],[1,1384,1388,10,0],[1,1389,1393,10,0],[1,1393,1397,10,0],[1,1397,1461,10,0],[1,1461,1525,10,0],[1,1525,1589,10,0],[1,1589,1653,10,0],[1,1653,1657,10,0],[1,1657,1661,10,0],[1,1661,1665,10,0],[1,1665,1669,10,0],[1,1669,1673,10,0],[1,1673,1677,10,0],[1,1678,1682,10,0],[1,1682,1686,10,0],[1,1703,1767,10,0],[1,1767,1831,10,0],[1,1831,1895,10,0],[1,1895,1959,10,0],[1,1959,1963,10,0],[1,1963,1967,10,0],[1,1967,1971,10,0],[1,1971,1975,10,0],[1,1975,1979,10,0],[1,1979,1983,10,0],[1,1984,1988,10,0],[1,1989,1993,10,0],[1,1993,2057,10,0],[1,2057,2121,10,0],[1,2121,2185,10,0],[1,2185,2249,10,0],[1,2249,2253,10,0],[1,2253,2257,10,0],[1,2257,2261,10,0],[1,2261,2265,10,0],[1,2265,2269,10,0],[1,2269,2273,10,0],[1,2274,2278,10,0],[1,2278,2282,10,0],[1,2282,2346,10,0],[1,2346,2410,10,0],[1,2410,2474,10,0],[1,2474,2538,10,0],[1,2538,2542,10,0],[1,2542,2546,10,0],[1,2546,2550,10,0],[1,2550,2554,10,0],[1,2554,2558,10,0],[1,2558,2562,10,0],[1,2563,2567,10,0],[1,2567,2571,10,0],[1,2571,2635,10,0],[1,2635,2699,10,0],[1,2699,2763,10,0],[1,2763,2827,10,0],[1,2827,2831,10,0],[1,2831,2835,10,0],[1,2835,2839,10,0],[1,2839,2843,10,0],[1,2843,2847,10,0],[1,2847,2851,10,0],[1,2852,2856,10,0],[1,2856,2860,10,0],[1,2861,2901,10,0],[0,2867,2899,10,0],[0,2899,2931,10,0],[1,2901,2941,10,0],[0,2931,2963,10,0],[1,2941,2981,10,0],[0,2963,2995,10,0],[1,2982,3022,10,0],[0,2995,2999,10,0],[0,2999,3003,10,0],[0,3003,3007,10,0],[0,3007,3011,10,0],[1,3024,3028,10,0],[1,3030,3034,10,0],[1,3034,3038,10,0],[1,3038,3042,10,0],[1,3042,3046,10,0],[0,3261,3389,9,0],[1,3348,3476,9,0],[0,3389,3517,9,0],[1,3476,3604,9,0],[1,3604,3732,9,0],[1,3732,3860,9,0],[1,3860,3988,9,0],[1,3988,4116,9,0],[1,4116,4244,9,0],[1,4244,4372,9,0],[1,4372,4500,9,0],[0,4425,4553,9,0],[1,4500,4628,9,0],[0,4553,4681,9,0],[1,4628,4756,9,0],[1,4756,4884,9,0],[1,4884,5012,9,0],[1,5012,5140,9,0],[1,5140,5268,9,0],[1,5268,5396,9,0],[1,5396,5400,9,0],[1,5400,5404,9,0],[1,5404,5408,9,0],[1,5408,5412,9,0],[1,5412,5416,9,0],[1,5416,5420,9,0],[1,5420,5424,9,0],[1,5424,5428,9,0],[1,5428,5432,9,0],[1,5432,5436,9,0],[1,5436,5440,9,0],[1,5440,5444,9,0],[1,5444,5448,9,0],[1,5448,5452,9,0],[1,5452,5456,9,0],[1,5456,5460,9,0],[1,5460,5464,9,0],[1,5464,5468,9,0],[1,5468,5472,9,0],[1,5472,5476,9,0],[1,5476,5480,9,0],[1,5480,5484,9,0],[1,5484,5488,9,0],[1,5488,5492,9,0],[1,5492,5496,9,0],[1,5496,5500,9,0],[1,5500,5504,9,0],[1,5504,5508,9,0],[1,5508,5512,9,0],[1,5512,5516,9,0],[1,5516,5520,9,0],[1,5520,5524,9,0],[1,5524,5528,9,0],[1,5528,5532,9,0],[1,5532,5536,9,0],[1,5536,5540,9,0],[1,5540,5544,9,0],[1,5544,5548,9,0],[1,5548,5552,9,0],[1,5552,5556,9,0],[1,5556,5560,9,0],[1,5560,5564,9,0],[1,5564,5568,9,0],[1,5568,5572,9,0],[1,5572,5576,9,0],[1,5576,5580,9,0],[1,5580,5584,9,0],[1,5584,5588,9,0],[1,5588,5592,9,0],[1,5592,5596,9,0],[1,5596,5600,9,0],[1,5600,5604,9,0],[1,5604,5608,9,0],[1,5608,5612,9,0],[1,5612,5616,9,0],[1,5616,5620,9,0],[1,5620,5624,9,0],[1,5624,5628,9,0],[1,5628,5632,9,0],[1,5632,5636,9,0],[1,5636,5640,9,0],[1,5640,5644,9,0],[1,5644,5648,9,0],[1,5648,5652,9,0],[1,5655,5783,9,0],[1,5785,5913,9,0],[1,5913,6041,9,0],[1,6041,6169,9,0],[1,6169,6173,9,0],[1,6173,6177,9,0],[1,6177,6181,9,0],[1,6181,6185,9,0],[1,6185,6189,9,0],[1,6189,6193,9,0],[1,6193,6197,9,0],[1,6197,6201,9,0],[1,6201,6205,9,0],[1,6205,6209,9,0],[1,6209,6213,9,0],[1,6213,6217,9,0],[1,6217,6221,9,0],[1,6221,6225,9,0],[1,6225,6229,9,0],[1,6229,6233,9,0]],[[1,99,131,10,0],[1,131,163,10,0],[1,163,195,10,0],[1,195,227,10,0],[1,227,231,10,0],[1,231,235,10,0],[1,235,239,10,0],[1,239,243,10,0],[1,243,307,10,0],[1,307,371,10,0],[1,371,435,10,0],[1,435,499,10,0],[1,499,503,10,0],[1,503,507,10,0],[1,507,511,10,0],[1,511,515,10,0],[1,515,519,10,0],[1,519,523,10,0],[1,524,528,10,0],[1,528,532,10,0],[1,532,596,10,0],[1,596,660,10,0],[1,660,724,10,0],[1,724,788,10,0],[1,788,792,10,0],[1,792,796,10,0],[1,796,800,10,0],[1,800,804,10,0],[1,804,808,10,0],[1,808,812,10,0],[1,813,817,10,0],[1,817,821,10,0],[1,821,885,10,0],[1,885,949,10,0],[1,949,1013,10,0],[1,1013,1077,10,0],[1,1077,1081,10,0],[1,1081,1085,10,0],[1,1085,1089,10,0],[1,1089,1093,10,0],[1,1093,1097,10,0],[1,1097,1101,10,0],[1,1102,1106,10,0],[1,1106,1110,10,0],[1,1110,1174,10,0],[1,1174,1238,10,0],[1,1238,1302,10,0],[1,1302,1366,10,0],[1,1366,1370,10,0],[1,1370,1374,10,0],[1,1374,1378,10,0],[0,1375,1439,10,0],[1,1378,1382,10,0],[1,1382,1386,10,0],[1,1386,1390,10,0],[1,1391,1395,10,0],[1,1395,1399,10,0],[1,1400,1464,10,0],[0,1439,1503,10,0],[1,1464,1528,10,0],[0,1503,1567,10,0],[1,1528,1592,10,0],[0,1567,1631,10,0],[1,1592,1656,10,0],[0,1631,1635,10,0],[0,1635,1639,10,0],[0,1639,1643,10,0],[0,1643,1647,10,0],[0,1647,1651,10,0],[0,1651,1655,10,0],[1,1656,1660,10,0],[0,1657,1661,10,0],[1,1660,1664,10,0],[0,1661,1665,10,0],[1,1664,1668,10,0],[1,1668,1672,10,0],[1,1672,1676,10,0],[1,1676,1680,10,0],[1,1682,1686,10,0],[1,1686,1690,10,0],[1,1706,1770,10,0],[1,1770,1834,10,0],[1,1834,1898,10,0],[1,1898,1962,10,0],[1,1962,1966,10,0],[1,1966,1970,10,0],[1,1970,1974,10,0],[1,1974,1978,10,0],[1,1978,1982,10,0],[1,1982,1986,10,0],[1,1987,1991,10,0],[1,1991,1995,10,0],[1,1995,2059,10,0],[1,2059,2123,10,0],[1,2123,2187,10,0],[1,2187,2251,10,0],[1,2251,2255,10,0],[1,2255,2259,10,0],[1,2259,2263,10,0],[1,2263,2267,10,0],[1,2267,2271,10,0],[1,2271,2275,10,0],[1,2276,2280,10,0],[1,2280,2284,10,0],[1,2288,2352,10,0],[1,2354,2418,10,0],[1,2418,2482,10,0],[1,2482,2546,10,0],[1,2546,2550,10,0],[1,2552,2556,10,0],[1,2556,2560,10,0],[1,2560,2564,10,0],[1,2564,2568,10,0],[1,2568,2572,10,0],[1,2572,2576,10,0],[1,2577,2581,10,0],[1,2581,2645,10,0],[1,2645,2709,10,0],[1,2709,2773,10,0],[1,2773,2837,10,0],[1,2837,2841,10,0],[1,2841,2845,10,0],[1,2845,2849,10,0],[1,2849,2853,10,0],[1,2853,2857,10,0],[1,2857,2861,10,0],[1,2862,2866,10,0],[1,2866,2870,10,0],[1,2874,2914,10,0],[1,2914,2954,10,0],[1,2954,2994,10,0],[1,2994,3034,10,0],[1,3034,3038,10,0],[1,3038,3042,10,0],[1,3042,3046,10,0],[1,3046,3050,10,0],[1,3050,3054,10,0],[0,3243,3371,9,0],[1,3304,3432,9,0],[0,3371,3499,9,0],[1,3432,3560,9,0],[1,3560,3688,9,0],[1,3688,3816,9,0],[1,3816,3944,9,0],[1,3944,4072,9,0],[1,4072,4200,9,0],[1,4200,4328,9,0],[1,4328,4456,9,0],[0,4405,4533,9,0],[1,4456,4584,9,0],[0,4533,4661,9,0],[1,4584,4712,9,0],[1,4712,4840,9,0],[1,4842,4846,9,0],[1,4846,4850,9,0],[1,4850,4854,9,0],[1,4854,4858,9,0],[1,4858,4862,9,0],[1,4862,4866,9,0],[1,4866,4870,9,0],[1,4870,4874,9,0],[1,4874,4878,9,0],[1,4878,4882,9,0],[1,4882,4886,9,0],[1,4886,4890,9,0],[1,4890,4894,9,0],[1,4894,4898,9,0],[1,4898,4902,9,0],[1,4902,4906,9,0],[1,4906,4910,9,0],[1,4910,4914,9,0],[1,4914,4918,9,0],[1,4918,4922,9,0],[1,4922,4926,9,0],[1,4926,4930,9,0],[1,4930,4934,9,0],[1,4934,4938,9,0],[1,4938,4942,9,0],[1,4945,4949,9,0],[1,4949,4953,9,0],[1,4953,4957,9,0],[1,4957,4961,9,0],[1,4961,4965,9,0],[1,4965,4969,9,0],[1,4969,4973,9,0],[1,4973,4977,9,0],[1,4977,4981,9,0],[1,4981,4985,9,0],[1,4985,4989,9,0],[1,4989,4993,9,0],[1,4993,4997,9,0],[1,4997,5001,9,0],[1,5003,5007,9,0],[1,5007,5011,9,0],[1,5011,5015,9,0],[1,5015,5019,9,0],[1,5019,5023,9,0],[1,5023,5027,9,0],[1,5027,5031,9,0],[1,5031,5035,9,0],[1,5035,5039,9,0],[1,5042,5170,9,0],[1,5170,5298,9,0],[1,5298,5426,9,0],[1,5426,5554,9,0],[1,5556,5684,9,0],[1,5684,5812,9,0],[1,5812,5940,9,0],[1,5940,6068,9,0],[1,6068,6072,9,0],[1,6072,6076,9,0],[1,6076,6080,9,0],[1,6080,6084,9,0],[1,6084,6088,9,0],[1,6088,6092,9,0],[1,6092,6096,9,0],[1,6096,6100,9,0],[1,6100,6104,9,0],[1,6104,6108,9,0],[1,6108,6112,9,0],[1,6112,6116,9,0],[1,6116,6120,9,0],[1,6120,6124,9,0],[1,6124,6128,9,0],[1,6128,6132,9,0],[1,6132,6136,9,0],[1,6136,6140,9,0],[1,6140,6144,9,0],[1,6144,6148,9,0],[1,6148,6152,9,0],[1,6152,6156,9,0],[1,6156,6160,9,0],[1,6160,6164,9,0],[1,6164,6168,9,0],[1,6168,6172,9,0],[1,6172,6176,9,0],[1,6176,6180,9,0],[1,6180,6184,9,0],[1,6184,6188,9,0],[1,6188,6192,9,0],[1,6192,6196,9,0]],[[1,103,135,10,0],[1,135,167,10,0],[1,167,199,10,0],[1,199,231,10,0],[1,231,235,10,0],[1,235,239,10,0],[1,239,243,10,0],[1,243,247,10,0],[1,247,311,10,0],[1,311,375,10,0],[1,375,439,10,0],[1,439,503,10,0],[1,503,507,10,0],[1,507,511,10,0],[1,511,515,10,0],[1,515,519,10,0],[1,519,523,10,0],[1,523,527,10,0],[1,529,533,10,0],[1,533,537,10,0],[1,537,601,10,0],[1,601,665,10,0],[1,665,729,10,0],[1,729,793,10,0],[1,793,797,10,0],[1,797,801,10,0],[1,801,805,10,0],[1,805,809,10,0],[1,809,813,10,0],[1,813,817,10,0],[1,819,823,10,0],[1,823,827,10,0],[1,827,891,10,0],[1,892,956,10,0],[1,956,1020,10,0],[1,1020,1084,10,0],[1,1084,1088,10,0],[1,1089,1093,10,0],[1,1093,1097,10,0],[1,1097,1101,10,0],[1,1101,1105,10,0],[1,1105,1109,10,0],[1,1110,1114,10,0],[1,1115,1119,10,0],[1,1119,1183,10,0],[1,1183,1247,10,0],[1,1247,1311,10,0],[1,1311,1375,10,0],[1,1375,1379,10,0],[1,1379,1383,10,0],[1,1383,1387,10,0],[1,1387,1391,10,0],[1,1391,1395,10,0],[1,1395,1399,10,0],[1,1401,1405,10,0],[1,1405,1409,10,0],[1,1409,1473,10,0],[1,1473,1537,10,0],[1,1537,1601,10,0],[1,1601,1665,10,0],[1,1665,1669,10,0],[1,1669,1673,10,0],[1,1673,1677,10,0],[0,1675,1739,10,0],[1,1677,1681,10,0],[1,1681,1685,10,0],[1,1685,1689,10,0],[1,1691,1695,10,0],[1,1695,1699,10,0],[1,1699,1763,10,0],[0,1739,1803,10,0],[1,1763,1827,10,0],[0,1803,1867,10,0],[1,1827,1891,10,0],[0,1867,1931,10,0],[1,1891,1955,10,0],[0,1931,1935,10,0],[0,1935,1939,10,0],[0,1939,1943,10,0],[0,1943,1947,10,0],[0,1947,1951,10,0],[0,1951,1955,10,0],[1,1955,1959,10,0],[0,1957,1961,10,0],[1,1959,1963,10,0],[0,1961,1965,10,0],[1,1963,1967,10,0],[1,1967,1971,10,0],[1,1971,1975,10,0],[1,1975,1979,10,0],[1,1981,1985,10,0],[1,1985,1989,10,0],[1,1989,2053,10,0],[1,2053,2117,10,0],[1,2117,2181,10,0],[1,2181,2245,10,0],[1,2245,2249,10,0],[1,2249,2253,10,0],[1,2253,2257,10,0],[1,2257,2261,10,0],[1,2261,2265,10,0],[1,2265,2269,10,0],[1,2271,2275,10,0],[1,2275,2279,10,0],[1,2279,2343,10,0],[1,2343,2407,10,0],[1,2407,2471,10,0],[1,2471,2535,10,0],[1,2535,2539,10,0],[1,2539,2543,10,0],[1,2543,2547,10,0],[1,2547,2551,10,0],[1,2551,2555,10,0],[1,2555,2559,10,0],[1,2561,2565,10,0],[1,2565,2569,10,0],[1,2581,2645,10,0],[1,2645,2709,10,0],[1,2709,2773,10,0],[1,2773,2837,10,0],[1,2837,2841,10,0],[1,2841,2845,10,0],[1,2845,2849,10,0],[1,2849,2853,10,0],[1,2853,2857,10,0],[1,2857,2861,10,0],[1,2863,2867,10,0],[1,2867,2871,10,0],[1,2871,2911,10,0],[1,2911,2951,10,0],[1,2951,2991,10,0],[1,2991,3031,10,0],[1,3033,3037,10,0],[1,3037,3041,10,0],[1,3041,3045,10,0],[1,3045,3049,10,0],[1,3049,3053,10,0],[1,3300,3428,9,0],[1,3428,3556,9,0],[0,3506,3634,9,0],[1,3556,3684,9,0],[0,3634,3762,9,0],[1,3684,3812,9,0],[1,3812,3940,9,0],[1,3940,4068,9,0],[1,4068,4196,9,0],[1,4196,4324,9,0],[1,4324,4328,9,0],[1,4328,4332,9,0],[1,4332,4336,9,0],[1,4336,4340,9,0],[1,4340,4344,9,0],[1,4344,4348,9,0],[1,4348,4352,9,0],[1,4352,4356,9,0],[1,4356,4360,9,0],[1,4360,4364,9,0],[1,4364,4368,9,0],[1,4368,4372,9,0],[1,4372,4376,9,0],[1,4376,4380,9,0],[1,4380,4384,9,0],[1,4384,4388,9,0],[1,4388,4392,9,0],[1,4392,4396,9,0],[1,4396,4400,9,0],[1,4400,4404,9,0],[1,4404,4408,9,0],[1,4408,4412,9,0],[1,4412,4416,9,0],[1,4416,4420,9,0],[1,4420,4424,9,0],[1,4424,4428,9,0],[1,4428,4432,9,0],[1,4432,4436,9,0],[1,4436,4440,9,0],[1,4440,4444,9,0],[1,4444,4448,9,0],[1,4448,4452,9,0],[1,4452,4580,9,0],[1,4580,4708,9,0],[0,4672,4800,9,0],[1,4708,4836,9,0],[0,4800,4928,9,0],[1,4836,4964,9,0],[1,4964,5092,9,0],[1,5092,5220,9,0],[1,5220,5348,9,0],[1,5348,5476,9,0],[1,5476,5480,9,0],[1,5480,5484,9,0],[1,5484,5488,9,0],[1,5488,5492,9,0],[1,5492,5496,9,0],[1,5496,5500,9,0],[1,5500,5504,9,0],[1,5504,5508,9,0],[1,5508,5512,9,0],[1,5512,5516,9,0],[1,5516,5520,9,0],[1,5520,5524,9,0],[1,5524,5528,9,0],[1,5528,5532,9,0],[1,5532,5536,9,0],[1,5536,5540,9,0],[1,5540,5544,9,0],[1,5544,5548,9,0],[1,5548,5552,9,0],[1,5552,5556,9,0],[1,5556,5560,9,0],[1,5560,5564,9,0],[1,5564,5568,9,0],[1,5568,5572,9,0],[1,5572,5576,9,0],[1,5576,5580,9,0],[1,5580,5584,9,0],[1,5584,5588,9,0],[1,5588,5592,9,0],[1,5592,5596,9,0],[1,5596,5600,9,0],[1,5600,5604,9,0]],[[1,90,114,10,0],[1,114,138,10,0],[1,138,162,10,0],[1,162,186,10,0],[0,176,240,10,0],[1,188,192,10,0],[1,192,196,10,0],[1,196,200,10,0],[1,200,264,10,0],[0,240,304,10,0],[1,264,328,10,0],[0,304,368,10,0],[1,328,392,10,0],[0,368,432,10,0],[1,392,456,10,0],[0,432,436,10,0],[0,436,440,10,0],[0,440,444,10,0],[0,444,448,10,0],[0,448,452,10,0],[0,452,456,10,0],[1,456,460,10,0],[0,458,462,10,0],[1,460,464,10,0],[0,462,466,10,0],[1,464,468,10,0],[1,468,472,10,0],[1,472,476,10,0],[1,476,480,10,0],[1,482,486,10,0],[1,486,490,10,0],[1,490,554,10,0],[1,554,618,10,0],[1,618,682,10,0],[1,682,746,10,0],[1,746,750,10,0],[1,750,754,10,0],[1,754,758,10,0],[1,758,762,10,0],[1,762,766,10,0],[1,766,770,10,0],[1,772,776,10,0],[1,776,780,10,0],[1,780,844,10,0],[1,844,908,10,0],[1,908,972,10,0],[1,972,1036,10,0],[1,1036,1040,10,0],[1,1040,1044,10,0],[1,1044,1048,10,0],[1,1048,1052,10,0],[1,1052,1056,10,0],[1,1056,1060,10,0],[1,1062,1066,10,0],[1,1066,1070,10,0],[1,1084,1148,10,0],[1,1148,1212,10,0],[1,1212,1276,10,0],[1,1276,1340,10,0],[1,1340,1344,10,0],[1,1345,1349,10,0],[1,1349,1353,10,0],[1,1353,1357,10,0],[1,1357,1361,10,0],[1,1361,1365,10,0],[1,1366,1370,10,0],[1,1371,1375,10,0],[1,1375,1439,10,0],[1,1439,1503,10,0],[1,1503,1567,10,0],[1,1567,1631,10,0],[1,1631,1635,10,0],[1,1635,1639,10,0],[1,1639,1643,10,0],[1,1643,1647,10,0],[1,1647,1651,10,0],[1,1651,1655,10,0],[1,1657,1661,10,0],[1,1661,1665,10,0],[1,1665,1729,10,0],[1,1729,1793,10,0],[1,1793,1857,10,0],[1,1857,1921,10,0],[1,1921,1925,10,0],[1,1925,1929,10,0],[1,1929,1933,10,0],[1,1933,1937,10,0],[1,1937,1941,10,0],[1,1941,1945,10,0],[1,1947,1951,10,0],[1,1951,1955,10,0],[1,1956,2020,10,0],[1,2020,2084,10,0],[1,2084,2148,10,0],[1,2148,2212,10,0],[1,2212,2216,10,0],[1,2216,2220,10,0],[1,2220,2224,10,0],[1,2224,2228,10,0],[1,2228,2232,10,0],[1,2232,2236,10,0],[1,2239,2243,10,0],[1,2243,2247,10,0],[1,2247,2311,10,0],[1,2311,2375,10,0],[1,2375,2439,10,0],[1,2439,2503,10,0],[1,2503,2507,10,0],[1,2507,2511,10,0],[1,2511,2515,10,0],[1,2515,2519,10,0],[1,2519,2523,10,0],[1,2523,2527,10,0],[1,2529,2533,10,0],[1,2533,2537,10,0],[1,2537,2601,10,0],[1,2601,2665,10,0],[1,2665,2729,10,0],[1,2729,2793,10,0],[1,2793,2797,10,0],[1,2797,2801,10,0],[1,2801,2805,10,0],[1,2805,2809,10,0],[1,2809,2813,10,0],[1,2813,2817,10,0],[1,2819,2823,10,0],[1,2823,2827,10,0],[1,2847,2895,10,0],[1,2895,2943,10,0],[1,2943,2991,10,0],[1,2993,3041,10,0],[1,3041,3045,10,0],[1,3045,3049,10,0],[1,3049,3053,10,0],[1,3053,3057,10,0],[1,3057,3061,10,0],[1,3061,3065,10,0],[1,3359,3487,9,0],[1,3487,3615,9,0],[0,3509,3637,9,0],[1,3615,3743,9,0],[0,3637,3765,9,0],[1,3743,3871,9,0],[1,3871,3999,9,0],[1,3999,4127,9,0],[1,4127,4255,9,0],[1,4255,4383,9,0],[1,4383,4511,9,0],[1,4511,4639,9,0],[1,4639,4767,9,0],[0,4669,4797,9,0],[1,4767,4895,9,0],[0,4797,4925,9,0],[1,4895,4899,9,0],[1,4899,4903,9,0],[1,4903,4907,9,0],[1,4907,4911,9,0],[1,4911,4915,9,0],[1,4915,4919,9,0],[1,4919,4923,9,0],[1,4923,4927,9,0],[1,4927,4931,9,0],[1,4931,4935,9,0],[1,4935,4939,9,0],[1,4939,4943,9,0],[1,4943,4947,9,0],[1,4947,4951,9,0],[1,4951,4955,9,0],[1,4955,4959,9,0],[1,4959,4963,9,0],[1,4963,4967,9,0],[1,4967,4971,9,0],[1,4971,4975,9,0],[1,4976,4980,9,0],[1,4980,4984,9,0],[1,4984,4988,9,0],[1,4988,4992,9,0],[1,4992,4996,9,0],[1,4996,5000,9,0],[1,5000,5004,9,0],[1,5004,5008,9,0],[1,5008,5012,9,0],[1,5012,5016,9,0],[1,5016,5020,9,0],[1,5020,5024,9,0],[1,5024,5028,9,0],[1,5028,5032,9,0],[1,5032,5036,9,0],[1,5036,5040,9,0],[1,5040,5044,9,0],[1,5044,5048,9,0],[1,5048,5052,9,0],[1,5052,5056,9,0],[1,5056,5060,9,0],[1,5060,5064,9,0],[1,5064,5068,9,0],[1,5068,5072,9,0],[1,5072,5076,9,0],[1,5076,5080,9,0],[1,5080,5084,9,0],[1,5084,5088,9,0],[1,5088,5216,9,0],[1,5216,5344,9,0],[1,5344,5472,9,0],[1,5472,5600,9,0],[1,5600,5728,9,0],[1,5728,5856,9,0],[1,5856,5984,9,0],[1,5984,6112,9,0],[1,6112,6116,9,0],[1,6116,6120,9,0],[1,6120,6124,9,0],[1,6124,6128,9,0],[1,6128,6132,9,0],[1,6132,6136,9,0],[1,6136,6140,9,0],[1,6140,6144,9,0],[1,6144,6148,9,0],[1,6148,6152,9,0],[1,6152,6156,9,0],[1,6156,6160,9,0],[1,6160,6164,9,0],[1,6164,6168,9,0],[1,6168,6172,9,0],[1,6172,6176,9,0],[1,6176,6180,9,0],[1,6180,6184,9,0],[1,6184,6188,9,0],[1,6188,6192,9,0],[1,6192,6196,9,0],[1,6196,6200,9,0],[1,6200,6204,9,0],[1,6204,6208,9,0],[1,6208,6212,9,0],[1,6212,6216,9,0],[1,6216,6220,9,0],[1,6220,6224,9,0],[1,6224,6228,9,0],[1,6228,6232,9,0],[1,6232,6236,9,0],[1,6236,6240,9,0]],[[1,101,133,10,0],[1,133,165,10,0],[1,165,197,10,0],[1,197,229,10,0],[1,229,233,10,0],[1,233,237,10,0],[1,237,241,10,0],[1,241,245,10,0],[1,245,309,10,0],[1,309,373,10,0],[1,373,437,10,0],[1,437,501,10,0],[1,501,505,10,0],[1,505,509,10,0],[1,509,513,10,0],[1,513,517,10,0],[1,517,521,10,0],[1,521,525,10,0],[1,526,530,10,0],[1,530,534,10,0],[1,534,598,10,0],[1,598,662,10,0],[1,662,726,10,0],[1,726,790,10,0],[1,790,794,10,0],[1,794,798,10,0],[1,798,802,10,0],[1,802,806,10,0],[1,806,810,10,0],[1,810,814,10,0],[1,815,819,10,0],[1,819,823,10,0],[1,823,887,10,0],[1,889,953,10,0],[1,953,1017,10,0],[1,1017,1081,10,0],[1,1081,1085,10,0],[1,1087,1091,10,0],[1,1091,1095,10,0],[1,1095,1099,10,0],[1,1099,1103,10,0],[1,1103,1107,10,0],[1,1107,1111,10,0],[1,1112,1116,10,0],[1,1116,1180,10,0],[1,1180,1244,10,0],[1,1244,1308,10,0],[1,1308,1372,10,0],[1,1372,1376,10,0],[1,1376,1380,10,0],[1,1380,1384,10,0],[1,1384,1388,10,0],[1,1388,1392,10,0],[1,1392,1396,10,0],[1,1397,1401,10,0],[1,1401,1405,10,0],[1,1405,1469,10,0],[1,1469,1533,10,0],[1,1533,1597,10,0],[1,1597,1661,10,0],[1,1661,1665,10,0],[1,1665,1669,10,0],[1,1669,1673,10,0],[0,1670,1734,10,0],[1,1673,1677,10,0],[1,1677,1681,10,0],[1,1681,1685,10,0],[1,1686,1690,10,0],[1,1690,1694,10,0],[1,1695,1759,10,0],[0,1734,1798,10,0],[1,1759,1823,10,0],[0,1798,1862,10,0],[1,1823,1887,10,0],[0,1862,1926,10,0],[1,1887,1951,10,0],[0,1926,1930,10,0],[0,1930,1934,10,0],[0,1934,1938,10,0],[0,1938,1942,10,0],[0,1942,1946,10,0],[0,1946,1950,10,0],[1,1951,1955,10,0],[0,1952,1956,10,0],[1,1955,1959,10,0],[0,1956,1960,10,0],[1,1959,1963,10,0],[1,1963,1967,10,0],[1,1967,1971,10,0],[1,1971,1975,10,0],[1,1977,1981,10,0],[1,1981,1985,10,0],[1,1985,2049,10,0],[1,2049,2113,10,0],[1,2113,2177,10,0],[1,2177,2241,10,0],[1,2241,2245,10,0],[1,2245,2249,10,0],[1,2249,2253,10,0],[1,2253,2257,10,0],[1,2257,2261,10,0],[1,2261,2265,10,0],[1,2266,2270,10,0],[1,2270,2274,10,0],[1,2274,2338,10,0],[1,2338,2402,10,0],[1,2402,2466,10,0],[1,2466,2530,10,0],[1,2530,2534,10,0],[1,2534,2538,10,0],[1,2538,2542,10,0],[1,2542,2546,10,0],[1,2546,2550,10,0],[1,2550,2554,10,0],[1,2555,2559,10,0],[1,2559,2563,10,0],[1,2571,2635,10,0],[1,2635,2699,10,0],[1,2699,2763,10,0],[1,2763,2827,10,0],[1,2827,2831,10,0],[1,2831,2835,10,0],[1,2835,2839,10,0],[1,2839,2843,10,0],[1,2843,2847,10,0],[1,2847,2851,10,0],[1,2852,2856,10,0],[1,2856,2860,10,0],[1,2861,2901,10,0],[1,2901,2941,10,0],[1,2941,2981,10,0],[1,2982,3022,10,0],[1,3022,3026,10,0],[1,3026,3030,10,0],[1,3030,3034,10,0],[1,3034,3038,10,0],[1,3038,3042,10,0],[1,3299,3427,9,0],[1,3427,3555,9,0],[0,3504,3632,9,0],[1,3555,3683,9,0],[0,3632,3760,9,0],[1,3683,3811,9,0],[1,3811,3939,9,0],[1,3939,4067,9,0],[1,4067,4195,9,0],[1,4195,4323,9,0],[1,4323,4327,9,0],[1,4327,4331,9,0],[1,4331,4335,9,0],[1,4335,4339,9,0],[1,4339,4343,9,0],[1,4343,4347,9,0],[1,4347,4351,9,0],[1,4351,4355,9,0],[1,4355,4359,9,0],[1,4359,4363,9,0],[1,4363,4367,9,0],[1,4367,4371,9,0],[1,4371,4375,9,0],[1,4375,4379,9,0],[1,4379,4383,9,0],[1,4383,4387,9,0],[1,4387,4391,9,0],[1,4391,4395,9,0],[1,4395,4399,9,0],[1,4399,4403,9,0],[1,4403,4407,9,0],[1,4407,4411,9,0],[1,4411,4415,9,0],[1,4415,4419,9,0],[1,4419,4423,9,0],[1,4423,4427,9,0],[1,4427,4431,9,0],[1,4431,4435,9,0],[1,4435,4439,9,0],[1,4439,4443,9,0],[1,4443,4447,9,0],[1,4447,4451,9,0],[1,4451,4579,9,0],[1,4579,4707,9,0],[0,4667,4795,9,0],[1,4707,4835,9,0],[0,4795,4923,9,0],[1,4835,4963,9,0],[1,4963,5091,9,0],[1,5091,5219,9,0],[1,5219,5347,9,0],[1,5347,5475,9,0],[1,5475,5479,9,0],[1,5479,5483,9,0],[1,5483,5487,9,0],[1,5487,5491,9,0],[1,5491,5495,9,0],[1,5495,5499,9,0],[1,5499,5503,9,0],[1,5503,5507,9,0],[1,5507,5511,9,0],[1,5511,5515,9,0],[1,5515,5519,9,0],[1,5519,5523,9,0],[1,5524,5528,9,0],[1,5528,5532,9,0],[1,5532,5536,9,0],[1,5536,5540,9,0],[1,5540,5544,9,0],[1,5544,5548,9,0],[1,5548,5552,9,0],[1,5552,5556,9,0],[1,5556,5560,9,0],[1,5560,5564,9,0],[1,5564,5568,9,0],[1,5568,5572,9,0],[1,5572,5576,9,0],[1,5576,5580,9,0],[1,5580,5584,9,0],[1,5584,5588,9,0],[1,5588,5592,9,0],[1,5592,5596,9,0],[1,5596,5600,9,0],[1,5600,5604,9,0]],[[1,92,116,10,0],[1,116,140,10,0],[1,140,164,10,0],[1,164,188,10,0],[0,176,240,10,0],[1,189,193,10,0],[1,193,197,10,0],[1,197,201,10,0],[1,201,265,10,0],[0,240,304,10,0],[1,265,329,10,0],[0,304,368,10,0],[1,329,393,10,0],[0,368,432,10,0],[1,393,457,10,0],[0,432,436,10,0],[0,436,440,10,0],[0,440,444,10,0],[0,444,448,10,0],[0,448,452,10,0],[0,452,456,10,0],[1,457,461,10,0],[0,458,462,10,0],[1,461,465,10,0],[0,462,466,10,0],[1,465,469,10,0],[1,469,473,10,0],[1,473,477,10,0],[1,477,481,10,0],[1,483,487,10,0],[1,487,491,10,0],[1,491,555,10,0],[1,555,619,10,0],[1,619,683,10,0],[1,683,747,10,0],[1,747,751,10,0],[1,751,755,10,0],[1,755,759,10,0],[1,759,763,10,0],[1,763,767,10,0],[1,767,771,10,0],[1,772,776,10,0],[1,776,780,10,0],[1,780,844,10,0],[1,844,908,10,0],[1,908,972,10,0],[1,972,1036,10,0],[1,1036,1040,10,0],[1,1040,1044,10,0],[1,1044,1048,10,0],[1,1048,1052,10,0],[1,1052,1056,10,0],[1,1056,1060,10,0],[1,1061,1065,10,0],[1,1065,1069,10,0],[1,1081,1145,10,0],[1,1145,1209,10,0],[1,1209,1273,10,0],[1,1273,1337,10,0],[1,1337,1341,10,0],[1,1343,1347,10,0],[1,1347,1351,10,0],[1,1351,1355,10,0],[1,1355,1359,10,0],[1,1359,1363,10,0],[1,1363,1367,10,0],[1,1368,1372,10,0],[1,1372,1436,10,0],[1,1436,1500,10,0],[1,1500,1564,10,0],[1,1564,1628,10,0],[1,1628,1632,10,0],[1,1632,1636,10,0],[1,1636,1640,10,0],[1,1640,1644,10,0],[1,1644,1648,10,0],[1,1648,1652,10,0],[1,1653,1657,10,0],[1,1657,1661,10,0],[1,1661,1725,10,0],[1,1725,1789,10,0],[1,1789,1853,10,0],[1,1853,1917,10,0],[1,1917,1921,10,0],[1,1921,1925,10,0],[1,1925,1929,10,0],[1,1929,1933,10,0],[1,1933,1937,10,0],[1,1937,1941,10,0],[1,1942,1946,10,0],[1,1946,1950,10,0],[1,1950,2014,10,0],[1,2014,2078,10,0],[1,2078,2142,10,0],[1,2142,2206,10,0],[1,2206,2210,10,0],[1,2210,2214,10,0],[1,2214,2218,10,0],[1,2218,2222,10,0],[1,2222,2226,10,0],[1,2226,2230,10,0],[1,2231,2235,10,0],[1,2235,2239,10,0],[1,2239,2303,10,0],[1,2303,2367,10,0],[1,2367,2431,10,0],[1,2431,2495,10,0],[1,2495,2499,10,0],[1,2499,2503,10,0],[1,2503,2507,10,0],[1,2507,2511,10,0],[1,2511,2515,10,0],[1,2515,2519,10,0],[1,2520,2524,10,0],[1,2524,2528,10,0],[1,2528,2592,10,0],[1,2592,2656,10,0],[1,2656,2720,10,0],[1,2720,2784,10,0],[1,2784,2788,10,0],[1,2788,2792,10,0],[1,2792,2796,10,0],[1,2796,2800,10,0],[1,2800,2804,10,0],[1,2804,2808,10,0],[1,2809,2813,10,0],[1,2813,2817,10,0],[1,2825,2873,10,0],[1,2873,2921,10,0],[1,2921,2969,10,0],[1,2971,3019,10,0],[1,3019,3023,10,0],[1,3023,3027,10,0],[1,3027,3031,10,0],[1,3031,3035,10,0],[1,3035,3039,10,0],[1,3039,3043,10,0],[1,3355,3483,9,0],[1,3483,3611,9,0],[0,3506,3634,9,0],[1,3611,3739,9,0],[0,3634,3762,9,0],[1,3739,3867,9,0],[1,3867,3995,9,0],[1,3995,4123,9,0],[1,4123,4251,9,0],[1,4251,4379,9,0],[1,4379,4507,9,0],[1,4509,4637,9,0],[1,4637,4765,9,0],[0,4662,4790,9,0],[1,4765,4893,9,0],[0,4790,4918,9,0],[1,4893,4897,9,0],[1,4897,4901,9,0],[1,4901,4905,9,0],[1,4905,4909,9,0],[1,4909,4913,9,0],[1,4913,4917,9,0],[1,4917,4921,9,0],[1,4921,4925,9,0],[1,4925,4929,9,0],[1,4929,4933,9,0],[1,4933,4937,9,0],[1,4937,4941,9,0],[1,4941,4945,9,0],[1,4945,4949,9,0],[1,4949,4953,9,0],[1,4953,4957,9,0],[1,4957,4961,9,0],[1,4961,4965,9,0],[1,4965,4969,9,0],[1,4969,4973,9,0],[1,4973,4977,9,0],[1,4977,4981,9,0],[1,4981,4985,9,0],[1,4985,4989,9,0],[1,4989,4993,9,0],[1,4993,4997,9,0],[1,4997,5001,9,0],[1,5001,5005,9,0],[1,5005,5009,9,0],[1,5009,5013,9,0],[1,5013,5017,9,0],[1,5017,5021,9,0],[1,5021,5025,9,0],[1,5025,5029,9,0],[1,5029,5033,9,0],[1,5033,5037,9,0],[1,5037,5041,9,0],[1,5041,5045,9,0],[1,5045,5049,9,0],[1,5049,5053,9,0],[1,5053,5057,9,0],[1,5057,5061,9,0],[1,5061,5065,9,0],[1,5065,5069,9,0],[1,5069,5073,9,0],[1,5073,5077,9,0],[1,5077,5081,9,0],[1,5081,5085,9,0],[1,5085,5213,9,0],[1,5213,5341,9,0],[1,5341,5469,9,0],[1,5469,5597,9,0],[1,5597,5725,9,0],[1,5725,5853,9,0],[1,5853,5981,9,0],[1,5981,6109,9,0],[1,6109,6113,9,0],[1,6113,6117,9,0],[1,6117,6121,9,0],[1,6121,6125,9,0],[1,6125,6129,9,0],[1,6129,6133,9,0],[1,6133,6137,9,0],[1,6137,6141,9,0],[1,6141,6145,9,0],[1,6145,6149,9,0],[1,6149,6153,9,0],[1,6153,6157,9,0],[1,6157,6161,9,0],[1,6161,6165,9,0],[1,6168,6172,9,0],[1,6172,6176,9,0],[1,6176,6180,9,0],[1,6180,6184,9,0],[1,6184,6188,9,0],[1,6188,6192,9,0],[1,6192,6196,9,0],[1,6196,6200,9,0],[1,6200,6204,9,0],[1,6204,6208,9,0],[1,6208,6212,9,0],[1,6212,6216,9,0],[1,6216,6220,9,0],[1,6220,6224,9,0],[1,6224,6228,9,0],[1,6228,6232,9,0],[1,6232,6236,9,0],[1,6236,6240,9,0]],[[1,91,115,10,0],[1,115,139,10,0],[1,139,163,10,0],[1,163,187,10,0],[0,177,241,10,0],[1,189,193,10,0],[1,193,197,10,0],[1,197,201,10,0],[1,201,265,10,0],[0,241,305,10,0],[1,265,329,10,0],[0,305,369,10,0],[1,329,393,10,0],[0,369,433,10,0],[1,393,457,10,0],[0,433,437,10,0],[0,437,441,10,0],[0,441,445,10,0],[0,445,449,10,0],[0,449,453,10,0],[0,453,457,10,0],[1,457,461,10,0],[0,459,463,10,0],[1,461,465,10,0],[0,463,467,10,0],[1,465,469,10,0],[1,469,473,10,0],[1,473,477,10,0],[1,477,481,10,0],[1,483,487,10,0],[1,487,491,10,0],[1,491,555,10,0],[1,555,619,10,0],[1,619,683,10,0],[1,683,747,10,0],[1,747,751,10,0],[1,751,755,10,0],[1,755,759,10,0],[1,759,763,10,0],[1,763,767,10,0],[1,767,771,10,0],[1,773,777,10,0],[1,777,781,10,0],[1,781,845,10,0],[1,845,909,10,0],[1,909,973,10,0],[1,973,1037,10,0],[1,1037,1041,10,0],[1,1041,1045,10,0],[1,1045,1049,10,0],[1,1049,1053,10,0],[1,1053,1057,10,0],[1,1057,1061,10,0],[1,1063,1067,10,0],[1,1067,1071,10,0],[1,1083,1147,10,0],[1,1147,1211,10,0],[1,1211,1275,10,0],[1,1275,1339,10,0],[1,1339,1343,10,0],[1,1343,1347,10,0],[1,1347,1351,10,0],[1,1351,1355,10,0],[1,1355,1359,10,0],[1,1359,1363,10,0],[1,1365,1369,10,0],[1,1369,1373,10,0],[1,1373,1437,10,0],[1,1437,1501,10,0],[1,1501,1565,10,0],[1,1565,1629,10,0],[1,1629,1633,10,0],[1,1633,1637,10,0],[1,1637,1641,10,0],[1,1641,1645,10,0],[1,1645,1649,10,0],[1,1649,1653,10,0],[1,1655,1659,10,0],[1,1659,1663,10,0],[1,1664,1728,10,0],[1,1728,1792,10,0],[1,1792,1856,10,0],[1,1856,1920,10,0],[1,1920,1924,10,0],[1,1924,1928,10,0],[1,1928,1932,10,0],[1,1932,1936,10,0],[1,1936,1940,10,0],[1,1940,1944,10,0],[1,1946,1950,10,0],[1,1950,1954,10,0],[1,1954,2018,10,0],[1,2018,2082,10,0],[1,2082,2146,10,0],[1,2146,2210,10,0],[1,2210,2214,10,0],[1,2214,2218,10,0],[1,2218,2222,10,0],[1,2222,2226,10,0],[1,2226,2230,10,0],[1,2230,2234,10,0],[1,2236,2240,10,0],[1,2240,2244,10,0],[1,2244,2308,10,0],[1,2308,2372,10,0],[1,2372,2436,10,0],[1,2436,2500,10,0],[1,2500,2504,10,0],[1,2504,2508,10,0],[1,2508,2512,10,0],[1,2512,2516,10,0],[1,2516,2520,10,0],[1,2520,2524,10,0],[1,2526,2530,10,0],[1,2530,2534,10,0],[1,2534,2598,10,0],[1,2598,2662,10,0],[1,2662,2726,10,0],[1,2726,2790,10,0],[1,2790,2794,10,0],[1,2794,2798,10,0],[1,2798,2802,10,0],[1,2802,2806,10,0],[1,2806,2810,10,0],[1,2810,2814,10,0],[1,2816,2820,10,0],[1,2820,2824,10,0],[1,2826,2874,10,0],[1,2875,2923,10,0],[1,2923,2971,10,0],[1,2971,3019,10,0],[1,3019,3023,10,0],[1,3023,3027,10,0],[1,3027,3031,10,0],[1,3031,3035,10,0],[1,3035,3039,10,0],[1,3039,3043,10,0],[1,3356,3484,9,0],[1,3484,3612,9,0],[0,3510,3638,9,0],[1,3612,3740,9,0],[0,3638,3766,9,0],[1,3740,3868,9,0],[1,3868,3996,9,0],[1,3996,4124,9,0],[1,4124,4252,9,0],[1,4252,4380,9,0],[1,4380,4508,9,0],[1,4509,4637,9,0],[1,4637,4765,9,0],[0,4670,4798,9,0],[1,4765,4893,9,0],[0,4798,4926,9,0],[1,4895,4899,9,0],[1,4899,4903,9,0],[1,4903,4907,9,0],[1,4907,4911,9,0],[1,4911,4915,9,0],[1,4915,4919,9,0],[1,4919,4923,9,0],[1,4923,4927,9,0],[1,4927,4931,9,0],[1,4931,4935,9,0],[1,4935,4939,9,0],[1,4939,4943,9,0],[1,4943,4947,9,0],[1,4947,4951,9,0],[1,4951,4955,9,0],[1,4955,4959,9,0],[1,4959,4963,9,0],[1,4963,4967,9,0],[1,4967,4971,9,0],[1,4974,4978,9,0],[1,4978,4982,9,0],[1,4982,4986,9,0],[1,4986,4990,9,0],[1,4990,4994,9,0],[1,4994,4998,9,0],[1,4998,5002,9,0],[1,5002,5006,9,0],[1,5006,5010,9,0],[1,5010,5014,9,0],[1,5014,5018,9,0],[1,5018,5022,9,0],[1,5024,5028,9,0],[1,5028,5032,9,0],[1,5032,5036,9,0],[1,5036,5040,9,0],[1,5040,5044,9,0],[1,5044,5048,9,0],[1,5048,5052,9,0],[1,5052,5056,9,0],[1,5056,5060,9,0],[1,5060,5064,9,0],[1,5064,5068,9,0],[1,5068,5072,9,0],[1,5072,5076,9,0],[1,5076,5080,9,0],[1,5080,5084,9,0],[1,5084,5088,9,0],[1,5088,5092,9,0],[1,5092,5220,9,0],[1,5220,5348,9,0],[1,5348,5476,9,0],[1,5476,5604,9,0],[1,5604,5732,9,0],[1,5732,5860,9,0],[1,5860,5988,9,0],[1,5988,6116,9,0],[1,6116,6120,9,0],[1,6120,6124,9,0],[1,6124,6128,9,0],[1,6128,6132,9,0],[1,6132,6136,9,0],[1,6136,6140,9,0],[1,6140,6144,9,0],[1,6144,6148,9,0],[1,6148,6152,9,0],[1,6152,6156,9,0],[1,6156,6160,9,0],[1,6160,6164,9,0],[1,6164,6168,9,0],[1,6168,6172,9,0],[1,6172,6176,9,0],[1,6176,6180,9,0],[1,6180,6184,9,0],[1,6184,6188,9,0],[1,6188,6192,9,0],[1,6192,6196,9,0],[1,6196,6200,9,0],[1,6200,6204,9,0],[1,6204,6208,9,0],[1,6208,6212,9,0],[1,6212,6216,9,0],[1,6216,6220,9,0],[1,6220,6224,9,0],[1,6224,6228,9,0],[1,6228,6232,9,0],[1,6232,6236,9,0],[1,6236,6240,9,0],[1,6240,6244,9,0]],[[1,99,123,10,0],[1,123,147,10,0],[1,147,171,10,0],[1,171,195,10,0],[1,197,201,10,0],[1,201,205,10,0],[1,205,209,10,0],[1,209,273,10,0],[1,273,337,10,0],[1,337,401,10,0],[1,401,465,10,0],[1,465,469,10,0],[1,469,473,10,0],[1,473,477,10,0],[1,477,481,10,0],[1,481,485,10,0],[1,485,489,10,0],[1,491,495,10,0],[1,495,499,10,0],[1,500,564,10,0],[1,564,628,10,0],[1,628,692,10,0],[1,692,756,10,0],[1,756,760,10,0],[1,760,764,10,0],[1,764,768,10,0],[1,768,772,10,0],[1,772,776,10,0],[1,776,780,10,0],[1,782,786,10,0],[1,786,790,10,0],[1,790,854,10,0],[1,854,918,10,0],[1,918,982,10,0],[1,982,1046,10,0],[1,1046,1050,10,0],[1,1050,1054,10,0],[1,1054,1058,10,0],[1,1058,1062,10,0],[1,1062,1066,10,0],[1,1066,1070,10,0],[1,1072,1076,10,0],[1,1076,1080,10,0],[1,1080,1144,10,0],[1,1144,1208,10,0],[1,1208,1272,10,0],[1,1272,1336,10,0],[1,1336,1340,10,0],[1,1340,1344,10,0],[1,1344,1348,10,0],[1,1348,1352,10,0],[1,1352,1356,10,0],[1,1356,1360,10,0],[1,1363,1367,10,0],[1,1367,1371,10,0],[1,1374,1438,10,0],[1,1438,1502,10,0],[1,1502,1566,10,0],[1,1566,1630,10,0],[1,1630,1634,10,0],[1,1634,1638,10,0],[1,1638,1642,10,0],[1,1642,1646,10,0],[1,1646,1650,10,0],[1,1650,1654,10,0],[1,1656,1660,10,0],[1,1660,1664,10,0],[1,1664,1728,10,0],[1,1728,1792,10,0],[1,1792,1856,10,0],[1,1856,1920,10,0],[1,1920,1924,10,0],[1,1924,1928,10,0],[1,1928,1932,10,0],[0,1930,1994,10,0],[1,1932,1936,10,0],[1,1936,1940,10,0],[1,1940,1944,10,0],[1,1946,1950,10,0],[1,1950,1954,10,0],[1,1954,2018,10,0],[0,1994,2058,10,0],[1,2018,2082,10,0],[0,2058,2122,10,0],[1,2082,2146,10,0],[0,2122,2186,10,0],[1,2146,2210,10,0],[0,2186,2190,10,0],[0,2190,2194,10,0],[0,2194,2198,10,0],[0,2198,2202,10,0],[0,2202,2206,10,0],[0,2206,2210,10,0],[1,2210,2214,10,0],[0,2212,2216,10,0],[1,2214,2218,10,0],[0,2216,2220,10,0],[1,2218,2222,10,0],[1,2222,2226,10,0],[1,2226,2230,10,0],[1,2230,2234,10,0],[1,2236,2240,10,0],[1,2240,2244,10,0],[1,2244,2308,10,0],[1,2308,2372,10,0],[1,2372,2436,10,0],[1,2436,2500,10,0],[1,2500,2504,10,0],[1,2504,2508,10,0],[1,2508,2512,10,0],[1,2512,2516,10,0],[1,2516,2520,10,0],[1,2520,2524,10,0],[1,2526,2530,10,0],[1,2530,2534,10,0],[1,2534,2598,10,0],[1,2598,2662,10,0],[1,2662,2726,10,0],[1,2726,2790,10,0],[1,2790,2794,10,0],[1,2794,2798,10,0],[1,2798,2802,10,0],[1,2802,2806,10,0],[1,2806,2810,10,0],[1,2810,2814,10,0],[1,2816,2820,10,0],[1,2820,2824,10,0],[1,2826,2874,10,0],[1,2874,2922,10,0],[1,2922,2970,10,0],[1,2970,3018,10,0],[1,3018,3022,10,0],[1,3022,3026,10,0],[1,3026,3030,10,0],[1,3030,3034,10,0],[1,3034,3038,10,0],[1,3038,3042,10,0],[1,3293,3421,9,0],[1,3421,3549,9,0],[1,3549,3677,9,0],[1,3677,3805,9,0],[1,3805,3933,9,0],[1,3933,4061,9,0],[1,4071,4199,9,0],[1,4199,4327,9,0],[1,4327,4331,9,0],[1,4331,4335,9,0],[1,4336,4340,9,0],[1,4340,4344,9,0],[1,4344,4348,9,0],[1,4348,4352,9,0],[1,4352,4356,9,0],[1,4356,4360,9,0],[1,4360,4364,9,0],[1,4364,4368,9,0],[1,4368,4372,9,0],[1,4372,4376,9,0],[1,4376,4380,9,0],[1,4380,4384,9,0],[1,4384,4388,9,0],[1,4388,4392,9,0],[1,4392,4396,9,0],[1,4396,4400,9,0],[1,4400,4404,9,0],[1,4404,4408,9,0],[1,4408,4412,9,0],[1,4412,4416,9,0],[1,4416,4420,9,0],[1,4420,4424,9,0],[1,4424,4428,9,0],[1,4428,4432,9,0],[1,4432,4436,9,0],[1,4436,4440,9,0],[1,4440,4444,9,0],[1,4444,4448,9,0],[1,4448,4452,9,0],[1,4452,4456,9,0],[1,4456,4584,9,0],[1,4584,4712,9,0],[1,4712,4840,9,0],[1,4840,4968,9,0],[0,4949,5077,9,0],[1,4968,5096,9,0],[0,5077,5205,9,0],[1,5096,5224,9,0],[1,5224,5352,9,0],[1,5352,5480,9,0],[1,5480,5484,9,0],[1,5484,5488,9,0],[1,5488,5492,9,0],[1,5492,5496,9,0],[1,5496,5500,9,0],[1,5500,5504,9,0],[1,5504,5508,9,0],[1,5508,5512,9,0],[1,5512,5516,9,0],[1,5516,5520,9,0],[1,5520,5524,9,0],[1,5524,5528,9,0],[1,5528,5532,9,0],[1,5532,5536,9,0],[1,5536,5540,9,0],[1,5540,5544,9,0],[1,5544,5548,9,0],[1,5548,5552,9,0],[1,5552,5556,9,0],[1,5556,5560,9,0],[1,5560,5564,9,0],[1,5564,5568,9,0],[1,5568,5572,9,0],[1,5572,5576,9,0],[1,5576,5580,9,0],[1,5580,5584,9,0],[1,5584,5588,9,0],[1,5588,5592,9,0],[1,5592,5596,9,0],[1,5596,5600,9,0],[1,5600,5604,9,0],[1,5604,5608,9,0]]]