#include int32_t ngaImageCells = 9205; int32_t ngaImage[] = { 1793,-1,9187,9204,201906,0,10,1,10,2,10,3,10,4,10,5,10,6,10, 7,10,8,10,9,10,10,10,11,10,12,10,13,10,14,10,15,10,16,10, 17,10,18,10,19,10,20,10,21,10,22,10,23,10,24,10,25,10,26,10, 68223234,1,2575,85000450,1,656912,355,339,268505089,66,65,135205121,66,10,101384453,0,9,10,2049,59, 25,459011,77,524546,77,302256641,1,10,16974595,0,50529798,10,25,524547,96,50529798,10,17108738,1,251790353, 101777669,1,17565186,87,524545,91,67,167838467,-1,134287105,3,62,659457,3,459023,108,2049,59,25,2049, 108,1793,115,2049,115,117506307,0,108,0,524545,25,113,168820993,0,127,1642241,127,134283523,7,113, 1793,108,7,524545,2049,108,1793,108,16846593,127,142,141,1793,67,16846593,127,113,141,1793,67, 7,10,659713,1,659713,2,659713,3,17108737,3,2,524559,108,2049,108,2049,108,2049,122,168820998, 2,656,1025,167841793,180,5,17826049,0,180,2,15,25,524546,165,134287105,181,96,2305,182,459023, 190,134287361,181,185,659201,180,2049,59,25,84152833,48,286458116,10,459014,205,184618754,45,25,16974851,-1, 168886532,1,134284289,1,214,134284289,0,205,660227,32,0,0,112,114,101,102,105,120,58,32, 0,285278479,231,7,2576,524546,82,1641217,1,167838467,228,2049,244,2049,240,524545,231,200,17826050,230, 0,2572,2563,2049,221,1793,134,459023,134,17760513,147,3,167,8,251727617,3,2,2049,161,268501264, -1,127,10,2049,200,2049,161,459023,134,285282049,3,2,16846593,127,-1,127,134283536,1793,108,16846593, 3,0,108,8,659201,3,524545,25,113,17043201,3,7,2049,113,2049,108,268505092,127,1642241,127, 656131,659201,3,524545,7,113,2049,108,459009,19,113,459009,55,113,459009,15,113,459009,17,113, 1793,5,10,524546,161,134284303,163,1807,1025,1642241,230,285282049,347,1,459012,342,117509889,180,342,134287105, 347,200,16845825,0,355,339,1793,67,17826050,347,250,8,117506305,348,358,67,0,9,153,100, 117,112,0,375,11,153,100,114,111,112,0,382,13,153,115,119,97,112,0,390, 21,153,99,97,108,108,0,398,27,153,101,113,63,0,406,29,153,45,101,113, 63,0,413,31,153,108,116,63,0,421,33,153,103,116,63,0,428,35,153,102, 101,116,99,104,0,435,37,153,115,116,111,114,101,0,444,39,153,43,0,453, 41,153,45,0,458,43,153,42,0,463,45,153,47,109,111,100,0,468,47,153, 97,110,100,0,476,49,153,111,114,0,483,51,153,120,111,114,0,489,53,153, 115,104,105,102,116,0,496,333,159,112,117,115,104,0,505,336,159,112,111,112, 0,513,330,159,48,59,0,520,59,147,102,101,116,99,104,45,110,101,120,116, 0,526,62,147,115,116,111,114,101,45,110,101,120,116,0,540,221,147,115,58, 116,111,45,110,117,109,98,101,114,0,554,96,147,115,58,101,113,63,0,569, 82,147,115,58,108,101,110,103,116,104,0,578,67,147,99,104,111,111,115,101, 0,590,75,153,105,102,0,600,73,147,45,105,102,0,606,261,159,112,114,101, 102,105,120,58,40,0,613,127,134,67,111,109,112,105,108,101,114,0,625,3, 134,72,101,97,112,0,637,108,147,44,0,645,122,147,115,44,0,650,128,159, 59,0,656,288,159,91,0,661,305,159,93,0,666,2,134,68,105,99,116,105, 111,110,97,114,121,0,671,160,147,100,58,108,105,110,107,0,685,161,147,100, 58,120,116,0,695,163,147,100,58,99,108,97,115,115,0,703,165,147,100,58, 110,97,109,101,0,714,147,147,99,108,97,115,115,58,119,111,114,100,0,724, 159,147,99,108,97,115,115,58,109,97,99,114,111,0,738,134,147,99,108,97, 115,115,58,100,97,116,97,0,753,167,147,100,58,97,100,100,45,104,101,97, 100,101,114,0,767,262,159,112,114,101,102,105,120,58,35,0,783,268,159,112, 114,101,102,105,120,58,58,0,795,282,159,112,114,101,102,105,120,58,38,0, 807,266,159,112,114,101,102,105,120,58,36,0,819,320,159,114,101,112,101,97, 116,0,831,322,159,97,103,97,105,110,0,841,367,147,105,110,116,101,114,112, 114,101,116,0,850,200,147,100,58,108,111,111,107,117,112,0,863,153,147,99, 108,97,115,115,58,112,114,105,109,105,116,105,118,101,0,875,4,134,86,101, 114,115,105,111,110,0,894,339,147,101,114,114,58,110,111,116,102,111,117,110, 100,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,59,0,114,101,0,0,83,0,99,104,0,109,97,116, 99,104,101,100,0,0,115,0,63,0,91,92,93,94,96,123,124,125,126,0, 72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,905,1543,147, 69,79,77,0,1,-3,15,10,1536,1556,147,100,101,112,116,104,0,1,-1,15, 10,1547,1570,147,100,58,108,97,115,116,0,1,2,15,10,1560,1588,147,100,58, 108,97,115,116,60,120,116,62,0,2049,1570,2049,161,15,10,1574,1611,147,100,58, 108,97,115,116,60,99,108,97,115,115,62,0,2049,1570,2049,163,15,10,1594,1633, 147,100,58,108,97,115,116,60,110,97,109,101,62,0,2049,1570,2049,165,10,1617, 1649,147,114,101,99,108,97,115,115,0,2049,1570,2049,163,16,10,1638,1668,147,105, 109,109,101,100,105,97,116,101,0,1,159,2049,1649,10,1655,1681,147,100,97,116, 97,0,1,134,2049,1649,10,1673,1699,147,112,114,105,109,105,116,105,118,101,0, 1,153,2049,1649,10,1686,1709,159,41,0,10,1704,1725,147,99,111,109,112,105,108, 101,58,108,105,116,0,1,1,2049,108,2049,108,10,1710,1748,147,99,111,109,112, 105,108,101,58,106,117,109,112,0,1,1793,2049,108,2049,108,10,1732,1771,147,99, 111,109,112,105,108,101,58,99,97,108,108,0,1,2049,2049,108,2049,108,10,1755, 1793,147,99,111,109,112,105,108,101,58,114,101,116,0,1,10,2049,108,10,1778, 1812,147,99,111,109,112,105,108,105,110,103,63,0,1,127,15,10,1798,1828,159, 112,114,101,102,105,120,58,96,0,2049,221,2049,108,10,1816,1841,147,104,101,114, 101,0,1,3,15,10,1833,1857,159,112,114,101,102,105,120,58,64,0,2049,200, 2049,161,15,2049,1812,1793,1873,1,3841,2049,108,2049,108,10,1,1866,1793,1879,15,10, 1,1877,2049,67,10,1845,1896,159,112,114,101,102,105,120,58,33,0,2049,200,2049, 161,15,2049,1812,1793,1912,1,4097,2049,108,2049,108,10,1,1905,1793,1918,16,10,1, 1916,2049,67,10,1884,1935,147,100,58,99,114,101,97,116,101,0,1,134,1,0, 2049,167,2049,1841,2049,1570,2049,161,16,10,1923,1959,147,118,97,114,60,110,62,0, 2049,1935,2049,108,10,1949,1971,147,118,97,114,0,1,0,2049,1959,10,1964,1985,147, 99,111,110,115,116,0,2049,1935,2049,1570,2049,161,16,10,1976,2001,153,116,117,99, 107,0,100926722,10,1993,2011,153,111,118,101,114,0,67502597,10,2003,2020,153,110,105,112, 0,772,10,2013,2035,153,100,114,111,112,45,112,97,105,114,0,771,10,2022,2045, 153,63,100,117,112,0,6402,10,2037,2059,147,100,117,112,45,112,97,105,114,0, 67502597,67502597,10,2047,2069,147,100,105,112,0,4,5,8,6,10,2062,2081,147,115,105, 112,0,5,2,6,4,1,21,2049,2069,10,2074,2096,147,98,105,0,1,2081,2049, 2069,8,10,2090,2109,147,98,105,42,0,1,2069,2049,2069,8,10,2102,2122,147,98, 105,64,0,2,2049,2109,10,2115,2133,147,116,114,105,0,1793,2142,1,2081,2049,2069, 2049,2081,10,1,2135,2049,2069,8,10,2126,2156,147,116,114,105,42,0,1793,2173,1793, 2166,4,1,2069,2049,2069,10,1,2160,2049,2069,2049,2069,10,1,2158,2049,2069,8,10, 2148,2187,147,116,114,105,64,0,2,2,2049,2156,10,2179,2201,147,119,104,105,108, 101,0,1793,2213,2,2049,2069,4,25,3,1,2203,7,10,1,2203,8,3,10,2192, 2227,147,117,110,116,105,108,0,1793,2242,2,2049,2069,4,1,-1,23,25,3,1, 2229,7,10,1,2229,8,3,10,2218,2256,147,116,105,109,101,115,0,4,1793,2273, 25,1,1,18,5,1,21,2049,2081,6,1,2259,7,10,1,2259,8,3,10,2247, 2286,147,99,97,115,101,0,1793,2291,67502597,11,10,1,2288,2049,2069,4,1793,2303,772, 8,1,-1,10,1,2298,1793,2311,3,1,0,10,1,2307,2049,67,25,6,3,3, 10,2278,2330,147,115,58,99,97,115,101,0,1793,2336,67502597,2049,96,10,1,2332,2049, 2069,4,1793,2348,772,8,1,-1,10,1,2343,1793,2356,3,1,0,10,1,2352,2049, 67,25,6,3,3,10,2320,2377,159,112,114,101,102,105,120,58,124,0,2049,200, 1793,2385,2049,161,15,10,1,2381,1793,2393,2049,163,15,10,1,2389,2049,2096,2049,1812, 1793,2413,1793,2406,2049,134,10,1,2403,2049,2069,2049,1771,10,1,2401,1793,2419,8,10, 1,2417,2049,67,10,2365,2432,147,84,82,85,69,0,1,-1,10,2424,2444,147,70, 65,76,83,69,0,1,0,10,2435,2456,147,108,116,101,113,63,0,2049,2059,11, 1793,2463,13,10,1,2461,2049,2069,22,10,2447,2478,147,103,116,101,113,63,0,2049, 2059,11,1793,2485,14,10,1,2483,2049,2069,22,10,2469,2498,147,105,102,59,0,67502597, 1793,2503,9,10,1,2501,2049,2069,25,6,771,10,2491,2519,147,45,105,102,59,0, 67502597,1793,2525,2049,73,10,1,2522,2049,2069,1,-1,23,25,6,771,10,2511,2545,147, 110,58,77,65,88,0,1,2147483647,10,2536,2557,147,110,58,77,73,78,0,1,-2147483648, 10,2548,2571,147,110,58,122,101,114,111,63,0,1,0,11,10,2560,2587,147,110, 58,45,122,101,114,111,63,0,1,0,12,10,2575,2606,147,110,58,110,101,103, 97,116,105,118,101,63,0,1,0,13,10,2591,2625,147,110,58,112,111,115,105, 116,105,118,101,63,0,1,-1,14,10,2610,2653,147,110,58,115,116,114,105,99, 116,108,121,45,112,111,115,105,116,105,118,101,63,0,1,0,14,10,2629,2668, 147,110,58,101,118,101,110,63,0,1,2,20,3,2049,2571,10,2657,2685,147,110, 58,111,100,100,63,0,1,2,20,3,2049,2587,10,2675,2699,153,114,111,116,0, 67503109,10,2692,2706,153,47,0,197652,10,2701,2715,153,109,111,100,0,788,10,2708,2724, 147,110,111,116,0,1,-1,23,10,2717,2737,147,110,58,112,111,119,0,1,1, 4,1793,2745,67502597,19,10,1,2742,2049,2256,772,10,2728,2763,147,110,58,110,101,103, 97,116,101,0,1,-1,19,10,2751,2779,147,110,58,115,113,117,97,114,101,0, 2,19,10,2767,2792,147,110,58,115,113,114,116,0,1,1,1793,2810,2049,2059,197652, 67502597,18,1,2,197652,25,17,1,2796,7,10,1,2796,8,772,10,2782,2824,147,110, 58,109,105,110,0,2049,2059,13,1793,2831,3,10,1,2829,1793,2837,772,10,1,2835, 2049,67,10,2815,2851,147,110,58,109,97,120,0,2049,2059,14,1793,2858,3,10,1, 2856,1793,2864,772,10,1,2862,2049,67,10,2842,2878,147,110,58,97,98,115,0,2, 2049,2763,2049,2851,10,2869,2895,147,110,58,108,105,109,105,116,0,4,5,2049,2824, 6,2049,2851,10,2884,2912,147,110,58,105,110,99,0,1,1,17,10,2903,2925,147, 110,58,100,101,99,0,1,1,18,10,2916,2943,147,110,58,98,101,116,119,101, 101,110,63,0,67503109,1793,2951,67503109,67503109,2049,2895,10,1,2946,2049,2081,11,10,2929,2969, 147,118,58,105,110,99,45,98,121,0,1793,2974,15,17,10,1,2971,2049,2081,16, 10,2957,2992,147,118,58,100,101,99,45,98,121,0,1793,2998,15,4,18,10,1, 2994,2049,2081,16,10,2980,3013,147,118,58,105,110,99,0,1,1,4,2049,2969,10, 3004,3028,147,118,58,100,101,99,0,1,1,4,2049,2992,10,3019,3045,147,118,58, 108,105,109,105,116,0,5,5,2,15,6,6,2049,2895,4,16,10,3034,3064,147, 118,58,111,110,0,2049,2432,4,16,10,3056,3078,147,118,58,111,102,102,0,2049, 2444,4,16,10,3069,3092,147,97,108,108,111,116,0,1,3,2049,2969,10,3083,3111, 147,118,58,112,114,101,115,101,114,118,101,0,4,2,15,1793,3125,1793,3120,8, 10,1,3118,2049,2069,10,1,3116,2049,2069,4,16,10,3097,3150,147,118,58,117,112, 100,97,116,101,45,117,115,105,110,103,0,4,1793,3157,15,4,8,10,1,3153, 2049,2081,16,10,3132,3171,147,99,111,112,121,0,1793,3180,1,59,2049,2069,2049,62, 10,1,3173,2049,2256,3,3,10,3163,3200,147,83,99,111,112,101,76,105,115,116, 0,9082,9110,10,3187,3209,147,123,123,0,2049,1570,2,1,3200,2049,62,16,10,3203, 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