#include #ifndef CELL #define CELL int32_t #endif CELL ngaImageCells = 16616; CELL ngaImage[] = { 1793,16527,16517,16615,202010,0,10,1,10,2,10,3,10,4,10,5,10,6,10, 7,10,8,10,9,10,10,11,10,12,10,13,10,14,10,15,10,16,10,17, 10,18,10,19,10,20,10,21,10,22,10,23,10,24,10,25,10,68223234,1,2575, 85000450,1,656912,3211,3220,268505089,63,62,135205121,63,10,101384453,0,9,10,2049,56,25,459011,74, 524546,74,302256641,1,10,16974595,0,50529798,10,25,524547,93,50529798,10,17108738,1,251790353,101777669,1,17565186, 84,524545,88,64,167838467,-1,134287105,3,59,659457,3,459023,105,2049,56,25,2049,105,1793,112, 2049,112,117506307,0,105,0,524545,25,110,168820993,0,124,1642241,124,134283523,7,110,1793,105,7, 524545,2049,105,1793,105,16846593,124,139,138,1793,64,16846593,124,110,138,1793,64,7,10,659713, 1,659713,2,659713,3,1793,166,17108737,3,2,524559,105,2049,105,2049,105,2049,119,168820998,2, 3196,1025,167841793,179,5,17826049,0,179,2,15,25,524546,162,134287105,180,93,2305,181,459023,189, 134287361,180,184,659201,179,2049,56,25,84152833,48,286458116,10,459014,204,184618754,45,25,16974851,-1,168886532, 1,134284289,1,213,134284289,0,204,660227,32,0,0,112,114,101,102,105,120,58,125,0, 285278479,230,7,2576,524546,79,1641217,1,167838467,227,2049,243,2049,239,524545,230,199,17826050,229,0, 2572,2563,2049,220,1793,131,459023,131,17760513,144,3,164,8,251727617,3,2,2049,158,16,168820993, -1,124,2049,199,2049,158,459023,131,285282049,3,2,134287105,124,278,524545,1793,105,16846593,3,0, 105,8,659201,3,524545,25,110,17043201,3,7,2049,110,2049,105,268505092,124,1642241,124,656131,659201, 3,524545,7,110,2049,105,459009,19,110,459009,54,110,459009,15,110,459009,17,110,1793,16583, 10,524546,158,134284303,160,1807,1025,0,0,1642241,229,285282049,345,1,459012,340,117509889,179,340,134287105, 345,199,16845825,0,355,337,1793,64,1793,369,17826050,345,249,8,117506305,346,358,64,2116,11340, 11700,11400,13685,13104,12432,12402,9603,9801,11514,11413,11110,12528,11948,10302,13340,9700,13455,12753,10500,10670, 12654,13320,11960,13908,10088,10605,11865,11025,0,2049,199,987393,1,1793,105,524546,445,2049,443,2049, 443,17891588,2,445,8,17045505,-24,-16,17043736,-8,1118488,1793,105,17043202,1,169021201,2049,56,25,33883396, 101450758,6404,459011,435,34668804,2,2049,432,524545,377,435,302056196,377,659969,1,0,9,150,100,117, 112,0,454,11,150,100,114,111,112,0,461,13,150,115,119,97,112,0,469,21, 150,99,97,108,108,0,477,26,150,101,113,63,0,485,28,150,45,101,113,63, 0,492,30,150,108,116,63,0,500,32,150,103,116,63,0,507,34,150,102,101, 116,99,104,0,514,36,150,115,116,111,114,101,0,523,38,150,43,0,532,40, 150,45,0,537,42,150,42,0,542,44,150,47,109,111,100,0,547,46,150,97, 110,100,0,555,48,150,111,114,0,562,50,150,120,111,114,0,568,52,150,115, 104,105,102,116,0,575,331,156,112,117,115,104,0,584,334,156,112,111,112,0, 592,328,156,48,59,0,599,56,144,102,101,116,99,104,45,110,101,120,116,0, 605,59,144,115,116,111,114,101,45,110,101,120,116,0,619,220,144,115,58,116, 111,45,110,117,109,98,101,114,0,633,93,144,115,58,101,113,63,0,648,79, 144,115,58,108,101,110,103,116,104,0,657,64,144,99,104,111,111,115,101,0, 669,72,150,105,102,0,679,70,144,45,105,102,0,685,260,156,112,114,101,102, 105,120,58,40,0,692,124,131,67,111,109,112,105,108,101,114,0,704,3,131, 72,101,97,112,0,716,105,144,44,0,724,119,144,115,44,0,729,125,156,59, 0,735,287,156,91,0,740,303,156,93,0,745,2,131,68,105,99,116,105,111, 110,97,114,121,0,750,157,144,100,58,108,105,110,107,0,764,158,144,100,58, 120,116,0,774,160,144,100,58,99,108,97,115,115,0,782,162,144,100,58,110, 97,109,101,0,793,144,144,99,108,97,115,115,58,119,111,114,100,0,803,156, 144,99,108,97,115,115,58,109,97,99,114,111,0,817,131,144,99,108,97,115, 115,58,100,97,116,97,0,832,164,144,100,58,97,100,100,45,104,101,97,100, 101,114,0,846,261,156,112,114,101,102,105,120,58,35,0,862,267,156,112,114, 101,102,105,120,58,58,0,874,281,156,112,114,101,102,105,120,58,38,0,886, 265,156,112,114,101,102,105,120,58,36,0,898,318,156,114,101,112,101,97,116, 0,910,320,156,97,103,97,105,110,0,920,367,144,105,110,116,101,114,112,114, 101,116,0,929,199,144,100,58,108,111,111,107,117,112,0,942,150,144,99,108, 97,115,115,58,112,114,105,109,105,116,105,118,101,0,954,4,131,86,101,114, 115,105,111,110,0,973,414,144,105,0,984,105,144,100,0,989,408,144,114,0, 994,337,144,101,114,114,58,110,111,116,102,111,117,110,100,0,0,0,0,0, 0,0,0,0,0,0,125,125,0,45,104,111,111,107,0,111,117,110,100,0, 100,0,72,0,83,0,45,45,45,45,0,70,79,85,78,68,0,125,126,0, 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, 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58,108,97,115,116,46,110,97,109,101,0,2049,1570,2049,162,10,1615,1646,144,114, 101,99,108,97,115,115,0,2049,1570,2049,160,16,10,1635,1665,144,105,109,109,101, 100,105,97,116,101,0,1,156,2049,1646,10,1652,1678,144,100,97,116,97,0,1, 131,2049,1646,10,1670,1696,144,112,114,105,109,105,116,105,118,101,0,1,150,2049, 1646,10,1683,1706,156,40,0,10,1701,1712,156,41,0,10,1707,1728,144,99,111,109, 112,105,108,101,58,108,105,116,0,1,1,2049,105,2049,105,10,1713,1751,144,99, 111,109,112,105,108,101,58,106,117,109,112,0,1,1793,2049,105,2049,105,10,1735, 1774,144,99,111,109,112,105,108,101,58,99,97,108,108,0,1,2049,2049,105,2049, 105,10,1758,1796,144,99,111,109,112,105,108,101,58,114,101,116,0,1,10,2049, 105,10,1781,1815,144,99,111,109,112,105,108,105,110,103,63,0,1,124,15,10, 1801,1831,156,112,114,101,102,105,120,58,96,0,2049,220,2049,105,10,1819,1848,156, 112,114,101,102,105,120,58,92,0,2049,414,10,1836,1863,156,112,114,101,102,105, 120,58,94,0,2049,408,10,1851,1874,144,104,101,114,101,0,1,3,15,10,1866, 1890,156,112,114,101,102,105,120,58,64,0,2049,199,2049,158,15,2049,1815,1793,1906, 1,3841,2049,105,2049,105,10,1,1899,1793,1912,15,10,1,1910,2049,64,10,1878,1929, 156,112,114,101,102,105,120,58,33,0,2049,199,2049,158,15,2049,1815,1793,1945,1, 4097,2049,105,2049,105,10,1,1938,1793,1951,16,10,1,1949,2049,64,10,1917,1968,144, 100,58,99,114,101,97,116,101,0,1,131,1,0,2049,164,2049,1874,2049,1570,2049, 158,16,10,1956,1991,144,118,97,114,45,110,0,2049,1968,2049,105,10,1982,2003,144, 118,97,114,0,134284289,0,1991,10,1996,2016,144,99,111,110,115,116,0,2049,1968,2049, 1570,2049,158,16,10,2007,2032,150,116,117,99,107,0,100926722,10,2024,2042,150,111,118, 101,114,0,67502597,10,2034,2051,150,110,105,112,0,772,10,2044,2066,150,100,114,111, 112,45,112,97,105,114,0,771,10,2053,2076,150,63,100,117,112,0,6402,10,2068, 2090,144,100,117,112,45,112,97,105,114,0,67502597,67502597,10,2078,2100,144,100,105,112, 0,525572,6,10,2093,2110,144,115,105,112,0,67502597,1,21,2049,2100,10,2103,2122,144, 98,105,0,1,2110,2049,2100,8,10,2116,2135,144,98,105,42,0,1,2100,2049,2100, 8,10,2128,2148,144,98,105,64,0,2,2049,2135,10,2141,2159,144,116,114,105,0, 1793,2168,1,2110,2049,2100,2049,2110,10,1,2161,2049,2100,8,10,2152,2182,144,116,114, 105,42,0,1793,2199,1793,2192,4,1,2100,2049,2100,10,1,2186,2049,2100,2049,2100,10, 1,2184,2049,2100,8,10,2174,2213,144,116,114,105,64,0,2,2,2049,2182,10,2205, 2227,144,119,104,105,108,101,0,1793,2236,525570,1639430,3,1,2229,7,10,1,2229,8, 3,10,2218,2250,144,117,110,116,105,108,0,1793,2261,525570,385942534,-1,25,3,1,2252, 7,10,1,2252,8,3,10,2241,2275,144,116,105,109,101,115,0,1793,2287,4,25, 33886721,1,2053,1542,1,2278,7,10,1,2277,8,3,10,2266,2304,156,112,114,101,102, 105,120,58,124,0,2049,199,1793,2312,2049,158,15,10,1,2308,1793,2320,2049,160,15, 10,1,2316,2049,2122,2049,1815,1793,2335,1,131,2049,2100,2049,1774,10,1,2328,1,21, 2049,64,10,2292,2350,144,84,82,85,69,0,1,-1,10,2342,2362,144,70,65,76, 83,69,0,1,0,10,2353,2373,144,99,97,115,101,0,1793,2378,67502597,11,10,1, 2375,2049,2100,4,1793,2390,772,8,2049,2350,10,1,2385,1793,2398,3,2049,2362,10,1, 2394,2049,64,25,6,3,3,10,2365,2417,144,115,58,99,97,115,101,0,1793,2423, 67502597,2049,93,10,1,2419,2049,2100,4,1793,2435,772,8,2049,2350,10,1,2430,1793,2443, 3,2049,2362,10,1,2439,2049,64,25,6,3,3,10,2407,2459,144,110,111,116,0, 1,-1,23,10,2452,2472,144,108,116,101,113,63,0,2049,2090,101516555,22,10,2463,2486, 144,103,116,101,113,63,0,4,2049,2472,10,2477,2499,144,110,58,77,65,88,0, 1,-5,15,10,2490,2512,144,110,58,77,73,78,0,1,-4,15,10,2503,2527,144, 110,58,122,101,114,111,63,0,1,0,11,10,2516,2543,144,110,58,45,122,101, 114,111,63,0,1,0,12,10,2531,2562,144,110,58,110,101,103,97,116,105,118, 101,63,0,1,0,13,10,2547,2581,144,110,58,112,111,115,105,116,105,118,101, 63,0,1,-1,14,10,2566,2609,144,110,58,115,116,114,105,99,116,108,121,45, 112,111,115,105,116,105,118,101,63,0,1,0,14,10,2585,2624,144,110,58,101, 118,101,110,63,0,1,2,20,3,2049,2527,10,2613,2641,144,110,58,111,100,100, 63,0,2049,2624,2049,2459,10,2631,2653,144,105,102,59,0,67502597,1,72,2049,2100,25, 6,771,10,2646,2670,144,45,105,102,59,0,67502597,1,70,2049,2100,2049,2459,25,6, 771,10,2662,2688,150,114,111,116,0,67503109,10,2681,2695,150,47,0,197652,10,2690,2704, 150,109,111,100,0,788,10,2697,2715,144,110,58,112,111,119,0,1,1,4,1793, 2723,67502597,19,10,1,2720,2049,2275,772,10,2706,2741,144,110,58,110,101,103,97,116, 101,0,1,-1,19,10,2729,2757,144,110,58,115,113,117,97,114,101,0,4866,10, 2745,2769,144,110,58,115,113,114,116,0,1,1,1793,2787,2049,2090,197652,67502597,18,1, 2,197652,25,17,1,2773,7,10,1,2773,8,772,10,2759,2801,144,110,58,109,105, 110,0,2049,2090,13,1793,2808,3,10,1,2806,1793,2814,772,10,1,2812,2049,64,10, 2792,2828,144,110,58,109,97,120,0,2049,2090,14,1793,2835,3,10,1,2833,1793,2841, 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3646,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83, 84,85,86,87,88,89,90,0,1,4760,10,4737,4809,144,115,58,65,83,67,73, 73,45,76,69,84,84,69,82,83,0,2049,3646,97,98,99,100,101,102,103,104, 105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,65,66, 67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86, 87,88,89,90,0,1,4811,10,4790,4884,144,115,58,80,85,78,67,84,85,65, 84,73,79,78,0,2049,3646,95,33,34,35,36,37,38,39,40,41,42,43,44, 45,46,47,58,59,60,61,62,63,64,91,92,93,94,96,123,124,125,126,0, 1,4886,1,95,67502597,16,10,4867,4942,131,115,58,87,72,73,84,69,83,80,65, 67,69,0,32,9,10,13,0,4926,4952,156,39,0,1,3627,2049,144,10,4947,4962, 156,36,0,1,0,2049,131,10,4957,0,131,65,83,67,73,73,58,78,85,76, 0,4967,27,131,65,83,67,73,73,58,69,83,67,0,4980,8,131,65,83,67, 73,73,58,66,83,0,4993,9,131,65,83,67,73,73,58,72,84,0,5005,10, 131,65,83,67,73,73,58,76,70,0,5017,11,131,65,83,67,73,73,58,86, 84,0,5029,12,131,65,83,67,73,73,58,70,70,0,5041,13,131,65,83,67, 73,73,58,67,82,0,5053,32,131,65,83,67,73,73,58,83,80,65,67,69, 0,5065,127,131,65,83,67,73,73,58,68,69,76,0,5080,1,131,65,83,67, 73,73,58,83,79,72,0,5093,2,131,65,83,67,73,73,58,83,84,88,0, 5106,3,131,65,83,67,73,73,58,69,84,88,0,5119,4,131,65,83,67,73, 73,58,69,79,84,0,5132,5,131,65,83,67,73,73,58,69,78,81,0,5145, 6,131,65,83,67,73,73,58,65,67,75,0,5158,7,131,65,83,67,73,73, 58,66,69,76,0,5171,14,131,65,83,67,73,73,58,83,79,0,5184,15,131, 65,83,67,73,73,58,83,73,0,5196,16,131,65,83,67,73,73,58,68,76, 69,0,5208,17,131,65,83,67,73,73,58,68,67,49,0,5221,18,131,65,83, 67,73,73,58,68,67,50,0,5234,19,131,65,83,67,73,73,58,68,67,51, 0,5247,20,131,65,83,67,73,73,58,68,67,52,0,5260,21,131,65,83,67, 73,73,58,78,65,75,0,5273,22,131,65,83,67,73,73,58,83,89,78,0, 5286,23,131,65,83,67,73,73,58,69,84,66,0,5299,24,131,65,83,67,73, 73,58,67,65,78,0,5312,25,131,65,83,67,73,73,58,69,77,0,5325,26, 131,65,83,67,73,73,58,83,85,66,0,5337,28,131,65,83,67,73,73,58, 70,83,0,5350,29,131,65,83,67,73,73,58,71,83,0,5362,30,131,65,83, 67,73,73,58,82,83,0,5374,31,131,65,83,67,73,73,58,85,83,0,5386, 5414,144,99,58,108,111,119,101,114,99,97,115,101,63,0,1,97,1,122,2049, 2921,10,5398,5437,144,99,58,117,112,112,101,114,99,97,115,101,63,0,1,65, 1,90,2049,2921,10,5421,5457,144,99,58,108,101,116,116,101,114,63,0,1,5414, 1,5437,2049,2122,22,10,5444,5477,144,99,58,100,105,103,105,116,63,0,1,48, 1,57,2049,2921,10,5465,5498,144,99,58,118,105,115,105,98,108,101,63,0,1, 32,1,126,2049,2921,10,5484,5517,144,99,58,118,111,119,101,108,63,0,2049,3646, 97,101,105,111,117,65,69,73,79,85,0,1,5519,4,2049,3970,10,5505,5552,144, 99,58,99,111,110,115,111,110,97,110,116,63,0,2,2049,5457,1793,5562,2049,5517, 2049,2459,10,1,5557,1793,5570,3,2049,2362,10,1,5566,2049,64,10,5536,5592,144,99, 58,119,104,105,116,101,115,112,97,99,101,63,0,1,4942,4,2049,3970,10,5575, 5615,144,99,58,45,108,111,119,101,114,99,97,115,101,63,0,2049,5414,2049,2459, 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1,-1,4,2049,9093,1793,9170,2049,8937,2049,9107,772,67502597,11,1793,9166,1793,9161,3,2049, 8937,10,1,9157,2049,2100,10,1,9155,9,10,1,9146,2049,8990,3,10,9124,9185,144, 99,58,112,117,116,0,1793,9187,1,0,2049,9122,10,9176,9198,144,110,108,0,1, 10,2049,9185,10,9192,9209,144,115,112,0,1,32,2049,9185,10,9203,9221,144,116,97, 98,0,1,9,2049,9185,10,9214,9235,144,115,58,112,117,116,0,1,9185,2049,3870, 10,9226,9249,144,110,58,112,117,116,0,2049,6040,2049,9235,10,9240,9263,144,114,101, 115,101,116,0,2049,1556,25,771,1,9263,7,10,9254,9285,144,100,117,109,112,45, 115,116,97,99,107,0,2049,1556,25,134284547,9285,134283782,9249,2049,9209,10,9271,9303,144,70, 82,69,69,0,2049,3517,1,1025,18,2049,1874,18,10,9295,9319,131,70,80,85,0, 0,9312,9332,144,105,100,101,110,116,105,102,121,0,3841,9319,2049,2527,1793,9399,1, 2,2049,9139,2,2049,2562,1793,9387,3,2049,3646,73,79,32,68,69,86,73,67,69, 32,84,89,80,69,32,48,48,48,50,32,78,79,84,32,70,79,85,78,68, 0,1,9350,2049,9235,2049,9198,10,1,9347,1793,9394,4097,9319,10,1,9391,2049,64,10, 1,9338,9,10,9295,9422,144,102,108,111,97,116,58,111,112,101,114,97,116,105, 111,110,0,2049,9332,3841,9319,2049,9122,10,9403,9443,144,110,58,116,111,45,102,108, 111,97,116,0,1,0,2049,9422,10,9429,9462,144,115,58,116,111,45,102,108,111, 97,116,0,1,1,2049,9422,10,9448,9482,144,102,58,116,111,45,110,117,109,98, 101,114,0,1,2,2049,9422,10,9467,9502,144,102,58,116,111,45,115,116,114,105, 110,103,0,2049,3627,2,1,3,2049,9422,10,9487,9517,144,102,58,43,0,1,4, 2049,9422,10,9510,9529,144,102,58,45,0,1,5,2049,9422,10,9522,9541,144,102,58, 42,0,1,6,2049,9422,10,9534,9553,144,102,58,47,0,1,7,2049,9422,10,9546, 9569,144,102,58,102,108,111,111,114,0,1,8,2049,9422,10,9558,9587,144,102,58, 99,101,105,108,105,110,103,0,1,9,2049,9422,10,9574,9602,144,102,58,115,113, 114,116,0,1,10,2049,9422,10,9592,9616,144,102,58,101,113,63,0,1,11,2049, 9422,10,9607,9631,144,102,58,45,101,113,63,0,1,12,2049,9422,10,9621,9645,144, 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0,2049,3646,51,46,49,52,49,53,57,50,0,1,10142,2049,9462,10,10132,10163,144, 102,58,69,0,2049,3646,50,46,55,49,56,50,56,49,0,1,10165,2049,9462,10, 10156,10188,144,102,58,78,65,78,0,2049,3646,48,0,1,10190,2049,9462,2049,3646,48, 0,1,10198,2049,9462,2049,9553,10,10179,10216,144,102,58,73,78,70,0,2049,3646,49, 46,48,0,1,10218,2049,9462,2049,3646,48,0,1,10228,2049,9462,2049,9553,10,10207,10247, 144,102,58,45,73,78,70,0,2049,3646,45,49,46,48,0,1,10249,2049,9462,2049, 3646,48,0,1,10260,2049,9462,2049,9553,10,10237,10279,144,102,58,110,97,110,63,0, 2049,9689,2049,9631,10,10269,10294,144,102,58,105,110,102,63,0,2049,10216,2049,9616,10, 10284,10310,144,102,58,45,105,110,102,63,0,2049,10247,2049,9616,10,10299,10326,144,102, 58,114,111,117,110,100,0,2049,9689,2049,10075,1793,10347,2049,3646,48,46,53,0,1, 10334,2049,9462,2049,9529,2049,9587,10,1,10332,1793,10366,2049,3646,48,46,53,0,1,10353, 2049,9462,2049,9517,2049,9569,10,1,10351,2049,64,10,10315,10380,144,102,58,109,105,110, 0,2049,9973,2049,9645,1,9704,1,9934,2049,64,10,10371,10400,144,102,58,109,97,120, 0,2049,9973,2049,9659,1,9704,1,9934,2049,64,10,10391,10422,144,102,58,108,105,109, 105,116,0,2049,9719,2049,9851,2049,10380,2049,9865,2049,10400,10,10411,10447,144,102,58,98, 101,116,119,101,101,110,63,0,2049,9987,2049,9689,2049,9851,2049,9987,2049,9987,2049,10422, 2049,9865,2049,9616,10,10433,10473,144,102,58,105,110,99,0,2049,3646,49,0,1,10475, 2049,9462,2049,9517,10,10464,10493,144,102,58,100,101,99,0,2049,3646,49,0,1,10495, 2049,9462,2049,9529,10,10484,10514,144,102,58,99,97,115,101,0,2049,9897,2049,9616,1793, 10526,2049,9704,8,1,-1,10,1,10520,1793,10534,3,1,0,10,1,10530,2049,64,25, 6,771,10,10504,10552,144,102,58,115,105,103,110,0,2049,9689,2049,3646,48,0,1, 10556,2049,9462,2049,9616,1793,10571,1,0,2049,9704,10,1,10566,2049,2653,2049,3646,48,0, 1,10577,2049,9462,2049,9659,1793,10590,1,1,10,1,10587,1793,10597,1,-1,10,1,10594, 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