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std::vector<int> seqs { 75497472, 150994944, 288, -3, 288, -4, 288, -5, 288, -6, -1, 37748736, -2, 56623104, 864, -9, 864, -10, 864, -11, 864, -12, -7, 56623104, -8, 169869312, 2304, -15, 2304, -16, 2304, -17, 2304, -18, 42467328, -14, 28311552, 6912, -21, 6912, -22, 6912, -23, 6912, -24, -19, 28311552, -20, 84934656, 4608, -27, 4608, -28, 4608, -29, 4608, -30, 21233664, -26, 10616832, 13824, -33, 13824, -34, 13824, -35, 13824, -36, -31, 10616832, -32, 31850496, 6912, -39, 6912, -40, 6912, -41, 6912, -42, 7962624, -38, 3538944, 20736, -45, 20736, -46, 20736, -47, 20736, -48, -43, 3538944, -44, 10616832, 9216, -51, 9216, -52, 9216, -53, 9216, -54, 2654208, -50, 884736, 27648, -57, 27648, -58, 27648, -59, 27648, -60, -55, 884736, -56, 2654208, 9216, -63, 9216, -64, 9216, -65, 9216, -66, 663552, -62, 221184, 27648, -69, 27648, -70, 27648, -71, 27648, -72, -67, 884736, 884736, 36864, -75, -74, -68, 2654208, 9216, -77, 9216, -78, 9216, -79, 9216, -80, 2654208, 36864, -82, -76, 884736, 27648, -84, 27648, -85, 27648, -86, 27648, -87, -81, 884736, -73, -83, 884736, -88, 1769472, -89, -61, 1769472, -90, 3538944, 3538944, 73728, -94, -93, -91, 10616832, 9216, -96, 9216, -97, 9216, -98, 9216, -99, 10616832, 73728, -101, -95, 3538944, 27648, -103, 27648, -104, 27648, -105, 27648, -106, -100, 3538944, -92, -102, 3538944, -107, 7077888, -108, -49, 7077888, -109, 10616832, 10616832, 73728, -113, -112, -110, 31850496, 6912, -115, 6912, -116, 6912, -117, 6912, -118, 31850496, 147456, -120, -114, 10616832, 20736, -122, 20736, -123, 20736, -124, 20736, -125, -119, 10616832, -111, -121, 10616832, -126, 21233664, -127, -37, 21233664, -128, 28311552, 28311552, 55296, -132, -131, -129, 84934656, 4608, -134, 4608, -135, 4608, -136, 4608, -137, 84934656, 294912, -139, -133, 28311552, 13824, -141, 13824, -142, 13824, -143, 13824, -144, -138, 28311552, -130, -140, 28311552, -145, 56623104, -146, -25, 56623104, -147, 56623104, 56623104, 36864, -151, -150, -148, 169869312, 2304, -153, 2304, -154, 2304, -155, 2304, -156, 169869312, 589824, -158, -152, 56623104, 6912, -160, 6912, -161, 6912, -162, 6912, -163, -157, 56623104, -149, -159, 56623104, -164, 113246208, -165, -13, 113246208, -166, 226492416, 226492416, 18432, -170, -169, -167, 75497472, 2304, -172, 2304, -173, 2304, -174, 2304, -175, -168, 75497472, -171, -176 };
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std::vector<int> seqs {1843200, 921600, 10368, 1728, -3, -4, -1, 921600, -2, 921600, 921600, -6, 921600, -5, -7, 921600, -8, 921600, -9, 230400, -10, 64, 32, 1536, -14, -12, 64, 768, -16, 768, -17, -13, 64, -15, 64, -18, 64, -19, 64, -20, 230400, -11, 230400, -22, -21, 230400, -23, 230400, 1536, -26, 1536, -27, 1536, -28, 1536, -29, -24, 1036800, 1536, -31, 1536, -32, 1536, -33, 1536, -34, -25, 264960, -30, 88320, 6912, -37, 6912, -38, 6912, -39, 6912, -40, -35, 323840, 2304, -42, 2304, -43, 2304, -44, 2304, -45, 323840, 18432, -47, -41, 88320, 8448, -49, 8448, -50, 8448, -51, 8448, -52, 88320, -48, -36, 353280, 2304, -55, 2304, -56, 2304, -57, 2304, -58, -53, 353280, -54, 353280, 353280, -60, 353280, -59, -61, 353280, -62, 353280, -63, 92160, -64, 92160, -65, 92160, 92160, -67, 92160, -66, -68, 92160, -69, 92160, 384, -71, 96, 9216, -74, 9216, -75, 9216, -76, -72, 384, 2304, -78, 2304, -79, 2304, -80, 2304, -81, -73, 384, -77, 384, -82, 384, -83, 384, -84, 92160, -70, -85, 92160, -86, 38400, 9216, -89, 9216, -90, 9216, -91, 9216, -92, -87, 230400, 3840, -94, 3840, -95, 3840, -96, 3840, -97, 230400, -93, 230400, 230400, -99, 230400, -98, -100, 230400, -101, 230400, 230400, -104, -102, 230400, -103, 230400, -105, 230400, 230400, -107, 230400, -106, -108, 230400, -109, 230400, 230400, -112, 960, -111, 256, 23040, -115, 23040, -116, 23040, -117, 23040, -118, -113, 960, 6144, -120, 6144, -121, 6144, -122, 6144, -123, -114, 960, -119, 960, -124, 960, -125, 960, -126, 230400, -110, -127, 230400, 230400, -130, -128, 38400, 23040, -132, 23040, -133, 23040, -134, 23040, -135, -129, 38400, -131, -88, 230400, 3840, -138, 3840, -139, 3840, -140, 3840, -141, 230400, -137, 230400, 230400, -143, 230400, -142, -144, 230400, -145, 230400, 230400, -148, -146, 230400, -147, 230400, -149, 230400, 230400, -151, 230400, -150, -152, 230400, -153, 230400, 230400, -156, 230400, 61440, 23040, -159, 23040, -160, 23040, -161, 23040, -162, -157, 235520, 235520, -163, 235520, -164, 235520, -165, 323840, -46, 235520, 8448, -169, 8448, -170, 8448, -171, 8448, -172, -167, 235520, -168, 235520, -173, 235520, -174, 235520, -166, -175, 235520, -176, 235520, 18432, -179, -177, 235520, 6144, -181, 6144, -182, 6144, -183, 6144, -184, -178, 61440, 61440, 6144, -187, 6144, -188, 6144, -189, 6144, -190, -185, 61440, -186, 61440, -191, 61440, -192, 61440, -158, 61440, 61440, -195, 960, -155, 256, 23040, -199, 23040, -200, 23040, -201, 23040, -202, -197, 960, 6144, -204, 6144, -205, 6144, -206, 6144, -207, -198, 960, -203, 960, -208, 960, -209, 960, -210, 230400, -154, -211, 230400, 230400, -214, -212, 38400, 23040, -216, 23040, -217, 23040, -218, 23040, -219, -213, 38400, -215, -136, 115200, 3840, -222, 3840, -223, 3840, -224, 3840, -225, -220, 115200, -221, 115200, 115200, -227, 115200, -226, -228, 115200, -229, 115200, -230, 28800, -231, 28800, -232, 28800, 28800, -234, 28800, -233, -235, 28800, -236, 28800, 480, -238, 128, 11520, -241, 11520, -242, 11520, -243, 11520, -244, -239, 480, 3072, -246, 3072, -247, 3072, -248, 3072, -249, -240, 480, -245, 480, -250, 480, -251, 480, -252, 28800, -237, -253, 28800, -254, 11520, 11520, -257, 11520, -258, 11520, -259, 11520, -260, -255, 34560, 4608, -262, 4608, -263, 4608, -264, 4608, -265, 34560, -261, 34560, 34560, -267, 34560, -266, -268, 34560, -269, 34560, -270, 34560, -271, 34560, -272, 34560, 34560, -274, 34560, -273, -275, 34560, -276, 34560, 576, -278, 160, 13824, -281, 13824, -282, 13824, -283, 13824, -284, -279, 576, 3840, -286, 3840, -287, 3840, -288, 3840, -289, -280, 576, -285, 576, -290, 576, -291, 576, -292, 34560, -277, -293, 34560, -294, 11520, 13824, -297, 13824, -298, 13824, -299, 13824, -300, -295, 11520, -296, -256, 69120, 4608, -303, 4608, -304, 4608, -305, 4608, -306, -301, 69120, -302, 69120, 69120, -308, 69120, -307, -309, 69120, -310, 69120, -311, 69120, -312, 69120, -313, 69120, 69120, -315, 69120, -314, -316, 69120, -317, 69120, 1152, -319, 288, 27648, -322, 27648, -323, 27648, -324, 27648, -325, -320, 1152, 6912, -327, 6912, -328, 6912, -329, 6912, -330, -321, 1152, -326, 1152,
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