#pragma once #include namespace Chess_Lookup::Var { struct Magic { const uint64_t* attacks; uint64_t inner_mask; uint64_t magic_num; uint8_t shift; }; static constexpr uint64_t r_table[88064] = { 0x1010101010101feull , 0x1010101feull, 0x106ull, 0x106ull, 0x101feull, 0x101feull, 0x106ull, 0x106ull, 0x1010101010eull, 0x10101010eull, 0x1010102ull, 0x1010102ull, 0x1010eull, 0x1010eull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x1feull, 0x1feull, 0x102ull, 0x102ull, 0x1feull, 0x1feull , 0x101010101010106ull, 0x101010106ull, 0x10eull, 0x10eull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull, 0x10101010106ull, 0x101010106ull, 0x1010101010102ull, 0x101010102ull, 0x10106ull, 0x10106ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x1010102ull, 0x1010102ull, 0x106ull, 0x106ull, 0x10102ull, 0x10102ull, 0x106ull , 0x106ull, 0x10101010101010eull, 0x10101010eull, 0x106ull, 0x106ull, 0x1010eull, 0x1010eull, 0x106ull, 0x106ull, 0x13eull, 0x13eull, 0x1010101010102ull, 0x101010102ull, 0x13eull, 0x13eull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x10eull, 0x10eull, 0x10102ull, 0x10102ull , 0x10eull, 0x10eull, 0x106ull, 0x106ull, 0x101013eull, 0x101013eull, 0x106ull, 0x106ull, 0x1013eull, 0x1013eull, 0x106ull, 0x106ull, 0x1010101010102ull, 0x101010102ull, 0x106ull, 0x106ull, 0x10102ull, 0x10102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x1010106ull, 0x1010106ull, 0x10102ull , 0x10102ull, 0x10106ull, 0x10106ull, 0x11eull, 0x11eull, 0x1010106ull, 0x1010106ull, 0x11eull, 0x11eull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull, 0x102ull, 0x102ull, 0x10eull, 0x10eull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x101011eull, 0x101011eull , 0x10102ull, 0x10102ull, 0x1011eull, 0x1011eull, 0x106ull, 0x106ull, 0x101010eull, 0x101010eull, 0x106ull, 0x106ull, 0x1010eull, 0x1010eull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x1010106ull , 0x1010106ull, 0x10102ull, 0x10102ull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull, 0x10101010106ull, 0x101010106ull, 0x10eull, 0x10eull, 0x10106ull, 0x10106ull, 0x11eull, 0x11eull, 0x102ull, 0x102ull, 0x11eull, 0x11eull, 0x102ull, 0x102ull, 0x101010101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull , 0x101010101010eull, 0x10101010eull, 0x10102ull, 0x10102ull, 0x1010eull, 0x1010eull, 0x106ull, 0x106ull, 0x1010101011eull, 0x10101011eull, 0x106ull, 0x106ull, 0x1011eull, 0x1011eull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x101010101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x102ull , 0x102ull, 0x1010101010106ull, 0x101010106ull, 0x102ull, 0x102ull, 0x10106ull, 0x10106ull, 0x13eull, 0x13eull, 0x10101010106ull, 0x101010106ull, 0x13eull, 0x13eull, 0x10106ull, 0x10106ull, 0x101010eull, 0x101010eull, 0x102ull, 0x102ull, 0x1010eull, 0x1010eull, 0x102ull, 0x102ull, 0x101010101010102ull, 0x101010102ull, 0x1010102ull, 0x1010102ull, 0x10102ull, 0x10102ull, 0x10102ull, 0x10102ull , 0x102ull, 0x102ull, 0x101010101013eull, 0x10101013eull, 0x102ull, 0x102ull, 0x1013eull, 0x1013eull, 0x1010106ull, 0x1010106ull, 0x10eull, 0x10eull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull, 0x1010106ull, 0x1010106ull, 0x102ull, 0x102ull, 0x10106ull, 0x10106ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull , 0x10102ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x101010eull, 0x101010eull, 0x106ull, 0x106ull, 0x1010eull, 0x1010eull, 0x106ull, 0x106ull, 0x101010101feull, 0x1010101feull, 0x1010102ull, 0x1010102ull, 0x101feull, 0x101feull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull , 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10eull, 0x10eull, 0x102ull, 0x102ull, 0x10eull, 0x10eull, 0x1010106ull, 0x1010106ull, 0x1feull, 0x1feull, 0x10106ull, 0x10106ull, 0x1feull, 0x1feull, 0x10101010106ull, 0x101010106ull, 0x1010102ull, 0x1010102ull, 0x10106ull, 0x10106ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x102ull , 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x10101010101011eull, 0x10101011eull, 0x106ull, 0x106ull, 0x1011eull, 0x1011eull, 0x106ull, 0x106ull, 0x1010101010eull, 0x10101010eull, 0x1010102ull, 0x1010102ull, 0x1010eull, 0x1010eull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull , 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x11eull, 0x11eull, 0x102ull, 0x102ull, 0x11eull, 0x11eull, 0x101010101010106ull, 0x101010106ull, 0x10eull, 0x10eull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull, 0x106ull, 0x106ull, 0x1010101010102ull, 0x101010102ull, 0x106ull, 0x106ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull , 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x1010102ull, 0x1010102ull, 0x106ull, 0x106ull, 0x10102ull, 0x10102ull, 0x106ull, 0x106ull, 0x10101010101010eull, 0x10101010eull, 0x1010106ull, 0x1010106ull, 0x1010eull, 0x1010eull, 0x10106ull, 0x10106ull, 0x11eull, 0x11eull, 0x1010101010102ull, 0x101010102ull, 0x11eull, 0x11eull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull , 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x10eull, 0x10eull, 0x10102ull, 0x10102ull, 0x10eull, 0x10eull, 0x106ull, 0x106ull, 0x101011eull, 0x101011eull, 0x106ull, 0x106ull, 0x1011eull, 0x1011eull, 0x106ull, 0x106ull, 0x1010101010102ull, 0x101010102ull, 0x106ull, 0x106ull, 0x10102ull, 0x10102ull, 0x1010102ull , 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x1010106ull, 0x1010106ull, 0x10102ull, 0x10102ull, 0x10106ull, 0x10106ull, 0x17eull, 0x17eull, 0x1010106ull, 0x1010106ull, 0x17eull, 0x17eull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull, 0x102ull, 0x102ull, 0x10eull, 0x10eull, 0x102ull, 0x102ull , 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x101017eull, 0x101017eull, 0x10102ull, 0x10102ull, 0x1017eull, 0x1017eull, 0x106ull, 0x106ull, 0x1010101010eull, 0x10101010eull, 0x106ull, 0x106ull, 0x1010eull, 0x1010eull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x102ull , 0x102ull, 0x101010101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x1010106ull, 0x1010106ull, 0x10102ull, 0x10102ull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull, 0x10101010106ull, 0x101010106ull, 0x10eull, 0x10eull, 0x10106ull, 0x10106ull, 0x13eull, 0x13eull, 0x102ull, 0x102ull, 0x13eull, 0x13eull , 0x102ull, 0x102ull, 0x101010101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x101010101010eull, 0x10101010eull, 0x10102ull, 0x10102ull, 0x1010eull, 0x1010eull, 0x106ull, 0x106ull, 0x1010101013eull, 0x10101013eull, 0x106ull, 0x106ull, 0x1013eull, 0x1013eull, 0x1010106ull, 0x1010106ull, 0x102ull, 0x102ull, 0x10106ull , 0x10106ull, 0x102ull, 0x102ull, 0x101010101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x1010101010106ull, 0x101010106ull, 0x102ull, 0x102ull, 0x10106ull, 0x10106ull, 0x11eull, 0x11eull, 0x106ull, 0x106ull, 0x11eull, 0x11eull, 0x106ull, 0x106ull, 0x101010eull, 0x101010eull, 0x102ull, 0x102ull , 0x1010eull, 0x1010eull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x101010101011eull, 0x10101011eull, 0x102ull, 0x102ull, 0x1011eull, 0x1011eull, 0x1010106ull, 0x1010106ull, 0x10eull, 0x10eull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull, 0x1010106ull, 0x1010106ull, 0x1010102ull , 0x1010102ull, 0x10106ull, 0x10106ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x101010eull, 0x101010eull, 0x106ull, 0x106ull, 0x1010eull, 0x1010eull, 0x106ull, 0x106ull, 0x1010101011eull, 0x10101011eull , 0x1010102ull, 0x1010102ull, 0x1011eull, 0x1011eull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10eull, 0x10eull, 0x102ull, 0x102ull, 0x10eull, 0x10eull, 0x1010106ull, 0x1010106ull, 0x11eull, 0x11eull, 0x10106ull, 0x10106ull, 0x11eull, 0x11eull, 0x10101010106ull , 0x101010106ull, 0x1010102ull, 0x1010102ull, 0x10106ull, 0x10106ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x10101010101013eull, 0x10101013eull, 0x106ull, 0x106ull, 0x1013eull, 0x1013eull, 0x106ull, 0x106ull , 0x1010101010eull, 0x10101010eull, 0x1010101010102ull, 0x101010102ull, 0x1010eull, 0x1010eull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x13eull, 0x13eull, 0x102ull, 0x102ull, 0x13eull, 0x13eull, 0x101010101010106ull, 0x101010106ull, 0x10eull, 0x10eull, 0x10106ull, 0x10106ull, 0x10eull , 0x10eull, 0x106ull, 0x106ull, 0x1010101010102ull, 0x101010102ull, 0x106ull, 0x106ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x1010102ull, 0x1010102ull, 0x106ull, 0x106ull, 0x10102ull, 0x10102ull, 0x106ull, 0x106ull, 0x10101010101010eull, 0x10101010eull, 0x1010106ull, 0x1010106ull, 0x1010eull, 0x1010eull , 0x10106ull, 0x10106ull, 0x17eull, 0x17eull, 0x1010101010102ull, 0x101010102ull, 0x17eull, 0x17eull, 0x10102ull, 0x10102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x10eull, 0x10eull, 0x10102ull, 0x10102ull, 0x10eull, 0x10eull, 0x106ull, 0x106ull, 0x101017eull, 0x101017eull, 0x106ull , 0x106ull, 0x1017eull, 0x1017eull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x1010106ull, 0x1010106ull, 0x10102ull, 0x10102ull, 0x10106ull, 0x10106ull, 0x11eull, 0x11eull, 0x1010106ull, 0x1010106ull , 0x11eull, 0x11eull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull, 0x102ull, 0x102ull, 0x10eull, 0x10eull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x101011eull, 0x101011eull, 0x10102ull, 0x10102ull, 0x1011eull, 0x1011eull, 0x106ull, 0x106ull, 0x1010101010eull , 0x10101010eull, 0x106ull, 0x106ull, 0x1010eull, 0x1010eull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x102ull, 0x102ull, 0x101010101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x1010106ull, 0x1010106ull, 0x10102ull, 0x10102ull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull , 0x10101010106ull, 0x101010106ull, 0x10eull, 0x10eull, 0x10106ull, 0x10106ull, 0x11eull, 0x11eull, 0x102ull, 0x102ull, 0x11eull, 0x11eull, 0x102ull, 0x102ull, 0x101010101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x101010101010eull, 0x10101010eull, 0x102ull, 0x102ull, 0x1010eull, 0x1010eull, 0x106ull , 0x106ull, 0x1010101011eull, 0x10101011eull, 0x106ull, 0x106ull, 0x1011eull, 0x1011eull, 0x1010106ull, 0x1010106ull, 0x102ull, 0x102ull, 0x10106ull, 0x10106ull, 0x102ull, 0x102ull, 0x101010101010102ull, 0x101010102ull, 0x1010102ull, 0x1010102ull, 0x10102ull, 0x10102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x1010101010106ull, 0x101010106ull, 0x102ull, 0x102ull, 0x10106ull, 0x10106ull , 0x10101feull, 0x10101feull, 0x106ull, 0x106ull, 0x101feull, 0x101feull, 0x106ull, 0x106ull, 0x101010eull, 0x101010eull, 0x102ull, 0x102ull, 0x1010eull, 0x1010eull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x1feull, 0x1feull, 0x102ull, 0x102ull, 0x1feull , 0x1feull, 0x1010106ull, 0x1010106ull, 0x10eull, 0x10eull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull, 0x1010106ull, 0x1010106ull, 0x1010102ull, 0x1010102ull, 0x10106ull, 0x10106ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x102ull, 0x102ull , 0x106ull, 0x106ull, 0x101010eull, 0x101010eull, 0x106ull, 0x106ull, 0x1010eull, 0x1010eull, 0x106ull, 0x106ull, 0x1010101013eull, 0x10101013eull, 0x1010102ull, 0x1010102ull, 0x1013eull, 0x1013eull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10eull, 0x10eull, 0x102ull , 0x102ull, 0x10eull, 0x10eull, 0x101010101010106ull, 0x101010106ull, 0x13eull, 0x13eull, 0x10106ull, 0x10106ull, 0x13eull, 0x13eull, 0x10101010106ull, 0x101010106ull, 0x1010102ull, 0x1010102ull, 0x10106ull, 0x10106ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x106ull, 0x106ull , 0x102ull, 0x102ull, 0x106ull, 0x106ull, 0x10101010101011eull, 0x10101011eull, 0x106ull, 0x106ull, 0x1011eull, 0x1011eull, 0x106ull, 0x106ull, 0x1010101010eull, 0x10101010eull, 0x1010101010102ull, 0x101010102ull, 0x1010eull, 0x1010eull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x10101010102ull, 0x101010102ull, 0x102ull, 0x102ull, 0x10102ull, 0x10102ull, 0x1010102ull, 0x1010102ull, 0x11eull , 0x11eull, 0x10102ull, 0x10102ull, 0x11eull, 0x11eull, 0x101010101010106ull, 0x101010106ull, 0x10eull, 0x10eull, 0x10106ull, 0x10106ull, 0x10eull, 0x10eull, 0x106ull, 0x106ull, 0x1010101010102ull, 0x101010102ull, 0x106ull, 0x106ull, 0x10102ull, 0x10102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x102ull, 0x1010102ull, 0x1010102ull , 0x106ull, 0x106ull, 0x10102ull, 0x10102ull, 0x106ull, 0x106ull, 0x10eull, 0x10eull, 0x1010106ull, 0x1010106ull, 0x10eull, 0x10eull, 0x10106ull, 0x10106ull, 0x11eull, 0x11eull, 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0x6080000000000000ull, 0x4080000000000000ull, 0x0ull, 0x4080800000000000ull, 0x7c80808000000000ull, 0x7c80808080000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x7c80808080000000ull, 0x0ull , 0x4080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x7080808000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x7080808000000000ull, 0x7080808080800000ull, 0x7080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x7080808080808000ull, 0x7080808080808080ull, 0x7080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x6080800000000000ull, 0x4080808000000000ull, 0x7080000000000000ull, 0x4080000000000000ull, 0x0ull, 0x6080800000000000ull, 0x4080808000000000ull, 0x4080808080000000ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x6080800000000000ull, 0x4080808080000000ull , 0x0ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x6080800000000000ull, 0x4080808000000000ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x6080800000000000ull, 0x4080808000000000ull, 0x4080808080800000ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x6080800000000000ull, 0x4080808080808000ull, 0x4080808080808080ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x6080000000000000ull, 0x7880800000000000ull, 0x4080808000000000ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x0ull, 0x7880800000000000ull, 0x4080808000000000ull, 0x4080808080000000ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x7880800000000000ull , 0x4080808080000000ull, 0x0ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x6080000000000000ull, 0x7080800000000000ull, 0x4080808000000000ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x6080000000000000ull, 0x7080800000000000ull, 0x4080808000000000ull, 0x4080808080800000ull, 0x4080000000000000ull, 0x7c80000000000000ull, 0x7080800000000000ull, 0x4080808080808000ull, 0x4080808080808080ull, 0x4080000000000000ull, 0x7c80000000000000ull, 0x7c80000000000000ull, 0x4080800000000000ull, 0x7080808000000000ull, 0x4080000000000000ull, 0x7c80000000000000ull, 0x0ull, 0x4080800000000000ull, 0x7080808000000000ull, 0x7080808080000000ull, 0x4080000000000000ull, 0x7080000000000000ull , 0x4080800000000000ull, 0x7080808080000000ull, 0x0ull, 0x4080000000000000ull, 0x7080000000000000ull, 0x7080000000000000ull, 0x4080800000000000ull, 0x6080808000000000ull, 0x4080000000000000ull, 0x7080000000000000ull, 0x7080000000000000ull, 0x4080800000000000ull, 0x6080808000000000ull, 0x6080808080800000ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x6080808080808000ull, 0x6080808080808080ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x4080808000000000ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x0ull, 0x4080800000000000ull, 0x4080808000000000ull, 0x4080808080000000ull, 0x6080000000000000ull , 0x4080000000000000ull, 0x4080800000000000ull, 0x4080808080000000ull, 0x0ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x7880808000000000ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x7880808000000000ull, 0x7880808080800000ull, 0x7880000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x7880808080808000ull, 0x7880808080808080ull, 0x7880000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x6080800000000000ull, 0x4080808000000000ull, 0x7880000000000000ull, 0x4080000000000000ull, 0x0ull, 0x6080800000000000ull, 0x4080808000000000ull, 0x4080808080000000ull , 0x7080000000000000ull, 0x4080000000000000ull, 0x6080800000000000ull, 0x4080808080000000ull, 0x0ull, 0x7080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x6080800000000000ull, 0x4080808000000000ull, 0x7080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x6080800000000000ull, 0x4080808000000000ull, 0x4080808080800000ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x6080800000000000ull, 0x4080808080808000ull, 0x4080808080808080ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x6080000000000000ull, 0x7e80800000000000ull, 0x6080808000000000ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x0ull, 0x7e80800000000000ull, 0x6080808000000000ull , 0x6080808080000000ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x7e80800000000000ull, 0x6080808080000000ull, 0x0ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x6080000000000000ull, 0x7880800000000000ull, 0x4080808000000000ull, 0x4080000000000000ull, 0x6080000000000000ull, 0x6080000000000000ull, 0x7880800000000000ull, 0x4080808000000000ull, 0x4080808080800000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x7880800000000000ull, 0x4080808080808000ull, 0x4080808080808080ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x7080808000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x0ull, 0x4080800000000000ull , 0x7080808000000000ull, 0x7080808080000000ull, 0x4080000000000000ull, 0x7880000000000000ull, 0x4080800000000000ull, 0x7080808080000000ull, 0x0ull, 0x4080000000000000ull, 0x7880000000000000ull, 0x7880000000000000ull, 0x4080800000000000ull, 0x6080808000000000ull, 0x4080000000000000ull, 0x7880000000000000ull, 0x7880000000000000ull, 0x4080800000000000ull, 0x6080808000000000ull, 0x6080808080800000ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x6080808080808000ull, 0x6080808080808080ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x6080800000000000ull, 0x4080808000000000ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x0ull , 0x6080800000000000ull, 0x4080808000000000ull, 0x4080808080000000ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x6080800000000000ull, 0x4080808080000000ull, 0x0ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x7f80808000000000ull, 0x6080000000000000ull, 0x4080000000000000ull, 0x4080000000000000ull, 0x4080800000000000ull, 0x7f80808000000000ull, 0x7f80808080800000ull, 0x7c80000000000000ull, 0x6080000000000000ull, 0x4080800000000000ull, 0x7f80808080808000ull }; static constexpr uint64_t b_table[4800] = { 0x8040201008040200ull , 0x0ull, 0x0ull, 0x200ull, 0x0ull, 0x0ull, 0x200ull, 0x0ull, 0x40200ull, 0x200ull, 0x40200ull, 0x8040200ull, 0x200ull, 0x1008040200ull, 0x40200ull, 0x200ull, 0x40200ull, 0x8040200ull, 0x200ull, 0x201008040200ull, 0x40200ull, 0x200ull, 0x40200ull, 0x8040200ull, 0x200ull, 0x1008040200ull, 0x40200ull, 0x200ull, 0x40200ull, 0x8040200ull, 0x0ull, 0x40201008040200ull , 0x80402010080500ull, 0x80500ull, 0x500ull, 0x500ull, 0x2010080500ull, 0x10080500ull, 0x80500ull, 0x500ull, 0x500ull, 0x0ull, 0x10080500ull, 0x80500ull, 0x500ull, 0x500ull, 0x0ull, 0x402010080500ull, 0x804020110a00ull, 0x804020100a00ull, 0x110a00ull, 0x100a00ull, 0x10a00ull, 0xa00ull, 0x10a00ull, 0xa00ull, 0x4020110a00ull, 0x4020100a00ull, 0x110a00ull, 0x100a00ull, 0x10a00ull, 0xa00ull, 0x10a00ull , 0xa00ull, 0x20110a00ull, 0x20100a00ull, 0x110a00ull, 0x100a00ull, 0x10a00ull, 0xa00ull, 0x10a00ull, 0xa00ull, 0x20110a00ull, 0x20100a00ull, 0x110a00ull, 0x100a00ull, 0x10a00ull, 0xa00ull, 0x10a00ull, 0xa00ull, 0x8041221400ull, 0x201400ull, 0x1021400ull, 0x8040221400ull, 0x1400ull, 0x21400ull, 0x201400ull, 0x1400ull, 0x41221400ull, 0x201400ull, 0x1021400ull, 0x40221400ull, 0x8040201400ull, 0x21400ull , 0x1400ull, 0x8040201400ull, 0x1021400ull, 0x1400ull, 0x1221400ull, 0x21400ull, 0x40201400ull, 0x221400ull, 0x1400ull, 0x40201400ull, 0x1021400ull, 0x1400ull, 0x1221400ull, 0x21400ull, 0x1400ull, 0x221400ull, 0x201400ull, 0x1400ull, 0x182442800ull, 0x2042800ull, 0x80442800ull, 0x42800ull, 0x2800ull, 0x402800ull, 0x2800ull, 0x402800ull, 0x82442800ull, 0x102442800ull, 0x80442800ull, 0x442800ull, 0x2800ull , 0x2800ull, 0x2800ull, 0x2800ull, 0x102042800ull, 0x2442800ull, 0x42800ull, 0x442800ull, 0x80402800ull, 0x2800ull, 0x80402800ull, 0x2800ull, 0x2042800ull, 0x102042800ull, 0x42800ull, 0x42800ull, 0x80402800ull, 0x402800ull, 0x80402800ull, 0x402800ull, 0x10204885000ull, 0x4885000ull, 0x204885000ull, 0x4885000ull, 0x805000ull, 0x805000ull, 0x805000ull, 0x805000ull, 0x885000ull, 0x885000ull, 0x885000ull, 0x885000ull , 0x805000ull, 0x805000ull, 0x805000ull, 0x805000ull, 0x10204085000ull, 0x4085000ull, 0x204085000ull, 0x4085000ull, 0x5000ull, 0x5000ull, 0x5000ull, 0x5000ull, 0x85000ull, 0x85000ull, 0x85000ull, 0x85000ull, 0x5000ull, 0x5000ull, 0x5000ull, 0x5000ull, 0x102040810a000ull, 0xa000ull, 0x40810a000ull, 0x810a000ull, 0xa000ull, 0x810a000ull, 0x10a000ull, 0xa000ull, 0x0ull, 0x10a000ull, 0xa000ull , 0xa000ull, 0x10a000ull, 0x0ull, 0xa000ull, 0x2040810a000ull, 0x102040810204000ull, 0x4000ull, 0x4000ull, 0x4000ull, 0x4000ull, 0x4000ull, 0x4000ull, 0x4000ull, 0x0ull, 0x4000ull, 0x4000ull, 0x204000ull, 0x4000ull, 0x4000ull, 0x204000ull, 0x4000ull, 0x0ull, 0x204000ull, 0x204000ull, 0x10204000ull, 0x204000ull, 0x204000ull, 0x10204000ull, 0x204000ull, 0x0ull, 0x10204000ull , 0x810204000ull, 0x4000ull, 0x40810204000ull, 0x810204000ull, 0x4000ull, 0x2040810204000ull, 0x4020100804020002ull, 0x0ull, 0x20002ull, 0x4020002ull, 0x100804020002ull, 0x804020002ull, 0x0ull, 0x20002ull, 0x20002ull, 0x4020002ull, 0x804020002ull, 0x0ull, 0x20002ull, 0x20002ull, 0x4020002ull, 0x20100804020002ull, 0x8040201008050005ull, 0x0ull, 0x50005ull, 0x8050005ull, 0x1008050005ull, 0x0ull, 0x50005ull, 0x8050005ull, 0x50005ull , 0x201008050005ull, 0x1008050005ull, 0x0ull, 0x50005ull, 0x8050005ull, 0x50005ull, 0x40201008050005ull, 0x804020110a000aull, 0x4020110a000aull, 0x20110a000aull, 0x20110a000aull, 0x804020100a000aull, 0x4020100a000aull, 0x20100a000aull, 0x20100a000aull, 0x110a000aull, 0x110a000aull, 0x110a000aull, 0x110a000aull, 0x100a000aull, 0x100a000aull, 0x100a000aull, 0x100a000aull, 0x10a000aull, 0x10a000aull, 0x10a000aull, 0x10a000aull, 0xa000aull, 0xa000aull, 0xa000aull, 0xa000aull , 0x10a000aull, 0x10a000aull, 0x10a000aull, 0x10a000aull, 0xa000aull, 0xa000aull, 0xa000aull, 0xa000aull, 0x804122140014ull, 0x804022140014ull, 0x102140014ull, 0x2140014ull, 0x804020140014ull, 0x804020140014ull, 0x140014ull, 0x140014ull, 0x4122140014ull, 0x4022140014ull, 0x102140014ull, 0x2140014ull, 0x4020140014ull, 0x4020140014ull, 0x140014ull, 0x140014ull, 0x122140014ull, 0x22140014ull, 0x102140014ull, 0x2140014ull, 0x20140014ull, 0x20140014ull, 0x140014ull , 0x140014ull, 0x122140014ull, 0x22140014ull, 0x102140014ull, 0x2140014ull, 0x20140014ull, 0x20140014ull, 0x140014ull, 0x140014ull, 0x18244280028ull, 0x8044280028ull, 0x8244280028ull, 0x8044280028ull, 0x8040280028ull, 0x8040280028ull, 0x8040280028ull, 0x8040280028ull, 0x10204280028ull, 0x4280028ull, 0x204280028ull, 0x4280028ull, 0x280028ull, 0x280028ull, 0x280028ull, 0x280028ull, 0x10204280028ull, 0x4280028ull, 0x204280028ull, 0x4280028ull, 0x280028ull, 0x280028ull , 0x280028ull, 0x280028ull, 0x10244280028ull, 0x44280028ull, 0x244280028ull, 0x44280028ull, 0x40280028ull, 0x40280028ull, 0x40280028ull, 0x40280028ull, 0x1020488500050ull, 0x488500050ull, 0x20488500050ull, 0x488500050ull, 0x80500050ull, 0x80500050ull, 0x80500050ull, 0x80500050ull, 0x88500050ull, 0x88500050ull, 0x88500050ull, 0x88500050ull, 0x80500050ull, 0x80500050ull, 0x80500050ull, 0x80500050ull, 0x1020408500050ull, 0x408500050ull, 0x20408500050ull, 0x408500050ull, 0x500050ull , 0x500050ull, 0x500050ull, 0x500050ull, 0x8500050ull, 0x8500050ull, 0x8500050ull, 0x8500050ull, 0x500050ull, 0x500050ull, 0x500050ull, 0x500050ull, 0x102040810a000a0ull, 0xa000a0ull, 0x0ull, 0xa000a0ull, 0xa000a0ull, 0x0ull, 0xa000a0ull, 0xa000a0ull, 0x10a000a0ull, 0xa000a0ull, 0x810a000a0ull, 0x10a000a0ull, 0x810a000a0ull, 0x40810a000a0ull, 0x10a000a0ull, 0x2040810a000a0ull, 0x204081020400040ull, 0x400040ull, 0x400040ull, 0x0ull , 0x20400040ull, 0x0ull, 0x1020400040ull, 0x400040ull, 0x400040ull, 0x20400040ull, 0x81020400040ull, 0x1020400040ull, 0x400040ull, 0x400040ull, 0x20400040ull, 0x4081020400040ull, 0x2010080402000204ull, 0x2000200ull, 0x80402000200ull, 0x402000200ull, 0x2000204ull, 0x402000204ull, 0x2000200ull, 0x10080402000200ull, 0x2010080402000200ull, 0x2000204ull, 0x80402000204ull, 0x402000204ull, 0x2000200ull, 0x402000200ull, 0x2000204ull, 0x10080402000204ull, 0x4020100805000508ull, 0x5000500ull, 0x100805000500ull , 0x805000500ull, 0x5000508ull, 0x805000508ull, 0x5000500ull, 0x20100805000500ull, 0x4020100805000500ull, 0x5000508ull, 0x100805000508ull, 0x805000508ull, 0x5000500ull, 0x805000500ull, 0x5000508ull, 0x20100805000508ull, 0x804020110a000a11ull, 0x804020100a000a11ull, 0x4020110a000a00ull, 0x4020100a000a00ull, 0x10a000a11ull, 0xa000a11ull, 0x10a000a00ull, 0xa000a00ull, 0x110a000a11ull, 0x100a000a11ull, 0x110a000a00ull, 0x100a000a00ull, 0x10a000a11ull, 0xa000a11ull, 0x10a000a00ull, 0xa000a00ull, 0x20110a000a00ull, 0x20100a000a00ull , 0x4020110a000a11ull, 0x4020100a000a11ull, 0x10a000a00ull, 0xa000a00ull, 0x10a000a11ull, 0xa000a11ull, 0x110a000a00ull, 0x100a000a00ull, 0x110a000a11ull, 0x100a000a11ull, 0x10a000a00ull, 0xa000a00ull, 0x10a000a11ull, 0xa000a11ull, 0x20110a000a11ull, 0x20100a000a11ull, 0x20110a000a00ull, 0x20100a000a00ull, 0x10a000a11ull, 0xa000a11ull, 0x10a000a00ull, 0xa000a00ull, 0x110a000a11ull, 0x100a000a11ull, 0x110a000a00ull, 0x100a000a00ull, 0x10a000a11ull, 0xa000a11ull, 0x10a000a00ull, 0xa000a00ull, 0x804020110a000a10ull , 0x804020100a000a10ull, 0x20110a000a11ull, 0x20100a000a11ull, 0x10a000a10ull, 0xa000a10ull, 0x10a000a11ull, 0xa000a11ull, 0x110a000a10ull, 0x100a000a10ull, 0x110a000a11ull, 0x100a000a11ull, 0x10a000a10ull, 0xa000a10ull, 0x10a000a11ull, 0xa000a11ull, 0x804020110a000a01ull, 0x804020100a000a01ull, 0x4020110a000a10ull, 0x4020100a000a10ull, 0x10a000a01ull, 0xa000a01ull, 0x10a000a10ull, 0xa000a10ull, 0x110a000a01ull, 0x100a000a01ull, 0x110a000a10ull, 0x100a000a10ull, 0x10a000a01ull, 0xa000a01ull, 0x10a000a10ull, 0xa000a10ull , 0x20110a000a10ull, 0x20100a000a10ull, 0x4020110a000a01ull, 0x4020100a000a01ull, 0x10a000a10ull, 0xa000a10ull, 0x10a000a01ull, 0xa000a01ull, 0x110a000a10ull, 0x100a000a10ull, 0x110a000a01ull, 0x100a000a01ull, 0x10a000a10ull, 0xa000a10ull, 0x10a000a01ull, 0xa000a01ull, 0x20110a000a01ull, 0x20100a000a01ull, 0x20110a000a10ull, 0x20100a000a10ull, 0x10a000a01ull, 0xa000a01ull, 0x10a000a10ull, 0xa000a10ull, 0x110a000a01ull, 0x100a000a01ull, 0x110a000a10ull, 0x100a000a10ull, 0x10a000a01ull, 0xa000a01ull, 0x10a000a10ull , 0xa000a10ull, 0x804020110a000a00ull, 0x804020100a000a00ull, 0x20110a000a01ull, 0x20100a000a01ull, 0x10a000a00ull, 0xa000a00ull, 0x10a000a01ull, 0xa000a01ull, 0x110a000a00ull, 0x100a000a00ull, 0x110a000a01ull, 0x100a000a01ull, 0x10a000a00ull, 0xa000a00ull, 0x10a000a01ull, 0xa000a01ull, 0x80412214001422ull, 0x80402014001422ull, 0x80402214001422ull, 0x80402014001422ull, 0x10214001422ull, 0x14001422ull, 0x214001422ull, 0x14001422ull, 0x412214001422ull, 0x402014001422ull, 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0x2014001402000000ull, 0x14001402000000ull, 0x2214001400000000ull, 0x214001400000000ull, 0x2014001400000000ull, 0x14001400000000ull , 0x2214001422010000ull, 0x214001422010000ull, 0x2014001422000000ull, 0x14001422000000ull, 0x2214001420000000ull, 0x214001420000000ull, 0x2014001420000000ull, 0x14001420000000ull, 0x2214001422010000ull, 0x214001422010000ull, 0x2014001422000000ull, 0x14001422000000ull, 0x2214001420000000ull, 0x214001420000000ull, 0x2014001420000000ull, 0x14001420000000ull, 0x2214001402010000ull, 0x214001402010000ull, 0x2014001402000000ull, 0x14001402000000ull, 0x2214001400000000ull, 0x214001400000000ull, 0x2014001400000000ull, 0x14001400000000ull, 0x2214001402010000ull, 0x214001402010000ull, 0x2014001402000000ull, 0x14001402000000ull, 0x2214001400000000ull, 0x214001400000000ull, 0x2014001400000000ull , 0x14001400000000ull, 0x2014001422418000ull, 0x14001422418000ull, 0x2214001422408000ull, 0x214001422408000ull, 0x2014001420408000ull, 0x14001420408000ull, 0x2214001420408000ull, 0x214001420408000ull, 0x2014001422410000ull, 0x14001422410000ull, 0x2214001422400000ull, 0x214001422400000ull, 0x2014001420400000ull, 0x14001420400000ull, 0x2214001420400000ull, 0x214001420400000ull, 0x2014001402010000ull, 0x14001402010000ull, 0x2214001402000000ull, 0x214001402000000ull, 0x2014001400000000ull, 0x14001400000000ull, 0x2214001400000000ull, 0x214001400000000ull, 0x2014001402010000ull, 0x14001402010000ull, 0x2214001402000000ull, 0x214001402000000ull, 0x2014001400000000ull, 0x14001400000000ull , 0x2214001400000000ull, 0x214001400000000ull, 0x2014001422010000ull, 0x14001422010000ull, 0x2214001422000000ull, 0x214001422000000ull, 0x2014001420000000ull, 0x14001420000000ull, 0x2214001420000000ull, 0x214001420000000ull, 0x2014001422010000ull, 0x14001422010000ull, 0x2214001422000000ull, 0x214001422000000ull, 0x2014001420000000ull, 0x14001420000000ull, 0x2214001420000000ull, 0x214001420000000ull, 0x2014001402010000ull, 0x14001402010000ull, 0x2214001402000000ull, 0x214001402000000ull, 0x2014001400000000ull, 0x14001400000000ull, 0x2214001400000000ull, 0x214001400000000ull, 0x2014001402010000ull, 0x14001402010000ull, 0x2214001402000000ull, 0x214001402000000ull, 0x2014001400000000ull , 0x14001400000000ull, 0x2214001400000000ull, 0x214001400000000ull, 0x4428002844820100ull, 0x428002844020000ull, 0x4428002844800000ull, 0x428002844000000ull, 0x428002840800000ull, 0x4428002840000000ull, 0x428002840800000ull, 0x4428002840000000ull, 0x4028002844820100ull, 0x28002844020000ull, 0x4028002844800000ull, 0x28002844000000ull, 0x28002840800000ull, 0x4028002840000000ull, 0x28002840800000ull, 0x4028002840000000ull, 0x4428002804020100ull, 0x428002804020000ull, 0x4428002804000000ull, 0x428002804000000ull, 0x428002800000000ull, 0x4428002800000000ull, 0x428002800000000ull, 0x4428002800000000ull, 0x4028002804020100ull, 0x28002804020000ull, 0x4028002804000000ull, 0x28002804000000ull , 0x28002800000000ull, 0x4028002800000000ull, 0x28002800000000ull, 0x4028002800000000ull, 0x428002844820100ull, 0x4428002844020100ull, 0x428002844800000ull, 0x4428002844000000ull, 0x4428002840800000ull, 0x428002840000000ull, 0x4428002840800000ull, 0x428002840000000ull, 0x28002844820100ull, 0x4028002844020100ull, 0x28002844800000ull, 0x4028002844000000ull, 0x4028002840800000ull, 0x28002840000000ull, 0x4028002840800000ull, 0x28002840000000ull, 0x428002804020100ull, 0x4428002804020100ull, 0x428002804000000ull, 0x4428002804000000ull, 0x4428002800000000ull, 0x428002800000000ull, 0x4428002800000000ull, 0x428002800000000ull, 0x28002804020100ull, 0x4028002804020100ull, 0x28002804000000ull , 0x4028002804000000ull, 0x4028002800000000ull, 0x28002800000000ull, 0x4028002800000000ull, 0x28002800000000ull, 0x4428002844820000ull, 0x428002844020100ull, 0x4428002844800000ull, 0x428002844000000ull, 0x428002840800000ull, 0x4428002840000000ull, 0x428002840800000ull, 0x4428002840000000ull, 0x4028002844820000ull, 0x28002844020100ull, 0x4028002844800000ull, 0x28002844000000ull, 0x28002840800000ull, 0x4028002840000000ull, 0x28002840800000ull, 0x4028002840000000ull, 0x4428002804020000ull, 0x428002804020100ull, 0x4428002804000000ull, 0x428002804000000ull, 0x428002800000000ull, 0x4428002800000000ull, 0x428002800000000ull, 0x4428002800000000ull, 0x4028002804020000ull, 0x28002804020100ull , 0x4028002804000000ull, 0x28002804000000ull, 0x28002800000000ull, 0x4028002800000000ull, 0x28002800000000ull, 0x4028002800000000ull, 0x428002844820000ull, 0x4428002844020000ull, 0x428002844800000ull, 0x4428002844000000ull, 0x4428002840800000ull, 0x428002840000000ull, 0x4428002840800000ull, 0x428002840000000ull, 0x28002844820000ull, 0x4028002844020000ull, 0x28002844800000ull, 0x4028002844000000ull, 0x4028002840800000ull, 0x28002840000000ull, 0x4028002840800000ull, 0x28002840000000ull, 0x428002804020000ull, 0x4428002804020000ull, 0x428002804000000ull, 0x4428002804000000ull, 0x4428002800000000ull, 0x428002800000000ull, 0x4428002800000000ull, 0x428002800000000ull, 0x28002804020000ull , 0x4028002804020000ull, 0x28002804000000ull, 0x4028002804000000ull, 0x4028002800000000ull, 0x28002800000000ull, 0x4028002800000000ull, 0x28002800000000ull, 0x8850005088040201ull, 0x8850005088000000ull, 0x8850005088040200ull, 0x8850005088000000ull, 0x8850005088040000ull, 0x8850005088000000ull, 0x8850005088040000ull, 0x8850005088000000ull, 0x8050005088040201ull, 0x8050005088000000ull, 0x8050005088040200ull, 0x8050005088000000ull, 0x8050005088040000ull, 0x8050005088000000ull, 0x8050005088040000ull, 0x8050005088000000ull, 0x8850005080000000ull, 0x8850005080000000ull, 0x8850005080000000ull, 0x8850005080000000ull, 0x8850005080000000ull, 0x8850005080000000ull, 0x8850005080000000ull, 0x8850005080000000ull , 0x8050005080000000ull, 0x8050005080000000ull, 0x8050005080000000ull, 0x8050005080000000ull, 0x8050005080000000ull, 0x8050005080000000ull, 0x8050005080000000ull, 0x8050005080000000ull, 0x850005088040201ull, 0x850005088000000ull, 0x850005088040200ull, 0x850005088000000ull, 0x850005088040000ull, 0x850005088000000ull, 0x850005088040000ull, 0x850005088000000ull, 0x50005088040201ull, 0x50005088000000ull, 0x50005088040200ull, 0x50005088000000ull, 0x50005088040000ull, 0x50005088000000ull, 0x50005088040000ull, 0x50005088000000ull, 0x850005080000000ull, 0x850005080000000ull, 0x850005080000000ull, 0x850005080000000ull, 0x850005080000000ull, 0x850005080000000ull, 0x850005080000000ull , 0x850005080000000ull, 0x50005080000000ull, 0x50005080000000ull, 0x50005080000000ull, 0x50005080000000ull, 0x50005080000000ull, 0x50005080000000ull, 0x50005080000000ull, 0x50005080000000ull, 0x8850005008040201ull, 0x8850005008000000ull, 0x8850005008040200ull, 0x8850005008000000ull, 0x8850005008040000ull, 0x8850005008000000ull, 0x8850005008040000ull, 0x8850005008000000ull, 0x8050005008040201ull, 0x8050005008000000ull, 0x8050005008040200ull, 0x8050005008000000ull, 0x8050005008040000ull, 0x8050005008000000ull, 0x8050005008040000ull, 0x8050005008000000ull, 0x8850005000000000ull, 0x8850005000000000ull, 0x8850005000000000ull, 0x8850005000000000ull, 0x8850005000000000ull, 0x8850005000000000ull , 0x8850005000000000ull, 0x8850005000000000ull, 0x8050005000000000ull, 0x8050005000000000ull, 0x8050005000000000ull, 0x8050005000000000ull, 0x8050005000000000ull, 0x8050005000000000ull, 0x8050005000000000ull, 0x8050005000000000ull, 0x850005008040201ull, 0x850005008000000ull, 0x850005008040200ull, 0x850005008000000ull, 0x850005008040000ull, 0x850005008000000ull, 0x850005008040000ull, 0x850005008000000ull, 0x50005008040201ull, 0x50005008000000ull, 0x50005008040200ull, 0x50005008000000ull, 0x50005008040000ull, 0x50005008000000ull, 0x50005008040000ull, 0x50005008000000ull, 0x850005000000000ull, 0x850005000000000ull, 0x850005000000000ull, 0x850005000000000ull, 0x850005000000000ull , 0x850005000000000ull, 0x850005000000000ull, 0x850005000000000ull, 0x50005000000000ull, 0x50005000000000ull, 0x50005000000000ull, 0x50005000000000ull, 0x50005000000000ull, 0x50005000000000ull, 0x50005000000000ull, 0x50005000000000ull, 0x10a000a010080402ull, 0xa000a000000000ull, 0xa000a010000000ull, 0x10a000a000000000ull, 0xa000a010000000ull, 0xa000a010080000ull, 0x10a000a000000000ull, 0xa000a010080400ull, 0xa000a010080402ull, 0x10a000a000000000ull, 0x10a000a010000000ull, 0xa000a000000000ull, 0x10a000a010000000ull, 0x10a000a010080000ull, 0xa000a000000000ull, 0x10a000a010080400ull, 0x2040004020100804ull, 0x2040004000000000ull, 0x40004020000000ull, 0x40004000000000ull , 0x40004020000000ull, 0x40004020100000ull, 0x40004000000000ull, 0x40004020100800ull, 0x40004020100804ull, 0x40004000000000ull, 0x2040004020000000ull, 0x2040004000000000ull, 0x2040004020000000ull, 0x2040004020100000ull, 0x2040004000000000ull, 0x2040004020100800ull, 0x200020408102040ull, 0x200020000000000ull, 0x200020408100000ull, 0x200020408000000ull, 0x200020400000000ull, 0x200020408000000ull, 0x200020000000000ull, 0x200020400000000ull, 0x0ull, 0x200020000000000ull, 0x200020400000000ull, 0x200020000000000ull, 0x200020000000000ull, 0x200020000000000ull, 0x200020000000000ull, 0x200020408102000ull, 0x500050810204080ull, 0x500050000000000ull, 0x0ull , 0x500050000000000ull, 0x500050000000000ull, 0x500050000000000ull, 0x500050000000000ull, 0x500050000000000ull, 0x500050800000000ull, 0x500050000000000ull, 0x500050800000000ull, 0x500050810000000ull, 0x500050800000000ull, 0x500050810200000ull, 0x500050810000000ull, 0x500050810204000ull, 0xa000a1120408000ull, 0xa000a1120000000ull, 0xa000a0100000000ull, 0xa000a0100000000ull, 0xa000a1020408000ull, 0xa000a1020000000ull, 0xa000a0000000000ull, 0xa000a0000000000ull, 0xa000a1100000000ull, 0xa000a1100000000ull, 0xa000a0100000000ull, 0xa000a0100000000ull, 0xa000a1000000000ull, 0xa000a1000000000ull, 0xa000a0000000000ull, 0xa000a0000000000ull, 0xa000a0100000000ull, 0xa000a0100000000ull , 0xa000a1120400000ull, 0xa000a1120000000ull, 0xa000a0000000000ull, 0xa000a0000000000ull, 0xa000a1020400000ull, 0xa000a1020000000ull, 0xa000a0100000000ull, 0xa000a0100000000ull, 0xa000a1100000000ull, 0xa000a1100000000ull, 0xa000a0000000000ull, 0xa000a0000000000ull, 0xa000a1000000000ull, 0xa000a1000000000ull, 0x1400142241800000ull, 0x1400142241000000ull, 0x1400142201000000ull, 0x1400142201000000ull, 0x1400142040800000ull, 0x1400142040000000ull, 0x1400142000000000ull, 0x1400142000000000ull, 0x1400142240800000ull, 0x1400142240000000ull, 0x1400142200000000ull, 0x1400142200000000ull, 0x1400142040800000ull, 0x1400142040000000ull, 0x1400142000000000ull, 0x1400142000000000ull, 0x1400140201000000ull , 0x1400140201000000ull, 0x1400140201000000ull, 0x1400140201000000ull, 0x1400140000000000ull, 0x1400140000000000ull, 0x1400140000000000ull, 0x1400140000000000ull, 0x1400140200000000ull, 0x1400140200000000ull, 0x1400140200000000ull, 0x1400140200000000ull, 0x1400140000000000ull, 0x1400140000000000ull, 0x1400140000000000ull, 0x1400140000000000ull, 0x2800284482010000ull, 0x2800284480000000ull, 0x2800284000000000ull, 0x2800284000000000ull, 0x2800284482000000ull, 0x2800284480000000ull, 0x2800284000000000ull, 0x2800284000000000ull, 0x2800280402010000ull, 0x2800280400000000ull, 0x2800280000000000ull, 0x2800280000000000ull, 0x2800280402000000ull, 0x2800280400000000ull, 0x2800280000000000ull, 0x2800280000000000ull , 0x2800284402010000ull, 0x2800284400000000ull, 0x2800284080000000ull, 0x2800284080000000ull, 0x2800284402000000ull, 0x2800284400000000ull, 0x2800284080000000ull, 0x2800284080000000ull, 0x2800280402010000ull, 0x2800280400000000ull, 0x2800280000000000ull, 0x2800280000000000ull, 0x2800280402000000ull, 0x2800280400000000ull, 0x2800280000000000ull, 0x2800280000000000ull, 0x5000508804020100ull, 0x5000508000000000ull, 0x5000508800000000ull, 0x5000508000000000ull, 0x5000500804020100ull, 0x5000500000000000ull, 0x5000500800000000ull, 0x5000500000000000ull, 0x5000508804000000ull, 0x5000508000000000ull, 0x5000508800000000ull, 0x5000508000000000ull, 0x5000500804000000ull, 0x5000500000000000ull, 0x5000500800000000ull , 0x5000500000000000ull, 0x5000508804020000ull, 0x5000508000000000ull, 0x5000508800000000ull, 0x5000508000000000ull, 0x5000500804020000ull, 0x5000500000000000ull, 0x5000500800000000ull, 0x5000500000000000ull, 0x5000508804000000ull, 0x5000508000000000ull, 0x5000508800000000ull, 0x5000508000000000ull, 0x5000500804000000ull, 0x5000500000000000ull, 0x5000500800000000ull, 0x5000500000000000ull, 0xa000a01008040201ull, 0xa000a00000000000ull, 0xa000a01000000000ull, 0xa000a00000000000ull, 0xa000a01000000000ull, 0xa000a00000000000ull, 0xa000a01000000000ull, 0xa000a00000000000ull, 0x0ull, 0xa000a00000000000ull, 0x0ull, 0xa000a00000000000ull, 0xa000a01008000000ull, 0xa000a01008040000ull , 0xa000a01008000000ull, 0xa000a01008040200ull, 0x4000402010080402ull, 0x0ull, 0x4000400000000000ull, 0x4000402000000000ull, 0x4000402010000000ull, 0x4000402010080000ull, 0x0ull, 0x4000400000000000ull, 0x4000400000000000ull, 0x4000402000000000ull, 0x4000402010000000ull, 0x0ull, 0x4000400000000000ull, 0x4000400000000000ull, 0x4000402000000000ull, 0x4000402010080400ull, 0x2040810204080ull, 0x0ull, 0x0ull, 0x2000000000000ull, 0x0ull, 0x0ull, 0x2000000000000ull, 0x0ull, 0x2040000000000ull, 0x2000000000000ull, 0x2040000000000ull, 0x2040800000000ull, 0x2000000000000ull , 0x2040810000000ull, 0x2040000000000ull, 0x2000000000000ull, 0x2040000000000ull, 0x2040800000000ull, 0x2000000000000ull, 0x2040810200000ull, 0x2040000000000ull, 0x2000000000000ull, 0x2040000000000ull, 0x2040800000000ull, 0x2000000000000ull, 0x2040810000000ull, 0x2040000000000ull, 0x2000000000000ull, 0x2040000000000ull, 0x2040800000000ull, 0x0ull, 0x2040810204000ull, 0x5081020408000ull, 0x5000000000000ull, 0x5000000000000ull, 0x5080000000000ull, 0x5081000000000ull, 0x5080000000000ull, 0x5000000000000ull, 0x5000000000000ull, 0x5000000000000ull, 0x5081020000000ull, 0x5080000000000ull, 0x5081000000000ull , 0x5000000000000ull, 0x5000000000000ull, 0x5080000000000ull, 0x5081020400000ull, 0xa112040800000ull, 0xa110000000000ull, 0xa102000000000ull, 0xa100000000000ull, 0xa112000000000ull, 0xa110000000000ull, 0xa000000000000ull, 0xa000000000000ull, 0xa010000000000ull, 0xa010000000000ull, 0xa000000000000ull, 0xa000000000000ull, 0xa010000000000ull, 0xa010000000000ull, 0xa102040800000ull, 0xa100000000000ull, 0xa112040000000ull, 0xa110000000000ull, 0xa102000000000ull, 0xa100000000000ull, 0xa112000000000ull, 0xa110000000000ull, 0xa000000000000ull, 0xa000000000000ull, 0xa010000000000ull, 0xa010000000000ull, 0xa000000000000ull , 0xa000000000000ull, 0xa010000000000ull, 0xa010000000000ull, 0xa102040000000ull, 0xa100000000000ull, 0x14224180000000ull, 0x14204080000000ull, 0x14224100000000ull, 0x14204000000000ull, 0x14020100000000ull, 0x14000000000000ull, 0x14020100000000ull, 0x14000000000000ull, 0x14220100000000ull, 0x14200000000000ull, 0x14220100000000ull, 0x14200000000000ull, 0x14020100000000ull, 0x14000000000000ull, 0x14020100000000ull, 0x14000000000000ull, 0x14224080000000ull, 0x14204080000000ull, 0x14224000000000ull, 0x14204000000000ull, 0x14020000000000ull, 0x14000000000000ull, 0x14020000000000ull, 0x14000000000000ull, 0x14220000000000ull, 0x14200000000000ull , 0x14220000000000ull, 0x14200000000000ull, 0x14020000000000ull, 0x14000000000000ull, 0x14020000000000ull, 0x14000000000000ull, 0x28448201000000ull, 0x28408000000000ull, 0x28440201000000ull, 0x28400000000000ull, 0x28040201000000ull, 0x28000000000000ull, 0x28040201000000ull, 0x28000000000000ull, 0x28448000000000ull, 0x28408000000000ull, 0x28440000000000ull, 0x28400000000000ull, 0x28040000000000ull, 0x28000000000000ull, 0x28040000000000ull, 0x28000000000000ull, 0x28448200000000ull, 0x28408000000000ull, 0x28440200000000ull, 0x28400000000000ull, 0x28040200000000ull, 0x28000000000000ull, 0x28040200000000ull, 0x28000000000000ull, 0x28448000000000ull , 0x28408000000000ull, 0x28440000000000ull, 0x28400000000000ull, 0x28040000000000ull, 0x28000000000000ull, 0x28040000000000ull, 0x28000000000000ull, 0x50880402010000ull, 0x50800000000000ull, 0x50880000000000ull, 0x50800000000000ull, 0x50080402010000ull, 0x50000000000000ull, 0x50080000000000ull, 0x50000000000000ull, 0x50880400000000ull, 0x50800000000000ull, 0x50880000000000ull, 0x50800000000000ull, 0x50080400000000ull, 0x50000000000000ull, 0x50080000000000ull, 0x50000000000000ull, 0x50880402000000ull, 0x50800000000000ull, 0x50880000000000ull, 0x50800000000000ull, 0x50080402000000ull, 0x50000000000000ull, 0x50080000000000ull, 0x50000000000000ull , 0x50880400000000ull, 0x50800000000000ull, 0x50880000000000ull, 0x50800000000000ull, 0x50080400000000ull, 0x50000000000000ull, 0x50080000000000ull, 0x50000000000000ull, 0xa0100804020100ull, 0xa0000000000000ull, 0xa0100000000000ull, 0xa0100804000000ull, 0xa0000000000000ull, 0xa0100800000000ull, 0xa0100000000000ull, 0xa0000000000000ull, 0xa0100000000000ull, 0xa0100800000000ull, 0xa0000000000000ull, 0x0ull, 0xa0100000000000ull, 0x0ull, 0xa0000000000000ull, 0xa0100804020000ull, 0x40201008040201ull, 0x40200000000000ull, 0x40000000000000ull, 0x0ull, 0x40000000000000ull, 0x40000000000000ull, 0x40200000000000ull , 0x40201000000000ull, 0x40200000000000ull, 0x40201000000000ull, 0x40000000000000ull, 0x40000000000000ull, 0x40000000000000ull, 0x40000000000000ull, 0x40201008000000ull, 0x40201008040000ull, 0x40200000000000ull, 0x0ull, 0x40200000000000ull, 0x40000000000000ull, 0x40000000000000ull, 0x0ull, 0x40000000000000ull, 0x40200000000000ull, 0x40201000000000ull, 0x0ull, 0x0ull, 0x40000000000000ull, 0x40000000000000ull, 0x40000000000000ull, 0x40201008000000ull, 0x40201008040200ull }; static constexpr Magic b_magics[64] = { { b_table + 0, 18049651735527936ull, 18441670916271046655ull, 59 }, { b_table + 32, 70506452091904ull, 18161155296967783798ull, 60 }, { b_table + 48, 275415828992ull, 1127154054119937ull, 59 }, { b_table + 80, 1075975168ull, 24783683647045760ull, 59 }, { b_table + 112, 38021120ull, 9526244746794827792ull, 59 }, { b_table + 144, 8657588224ull, 72629348817044512ull, 59 }, { b_table + 176, 2216338399232ull, 18161441449164338550ull, 60 }, { b_table + 192, 567382630219776ull, 9222806873877118975ull, 59 }, { b_table + 224, 9024825867763712ull, 18160843177395027958ull, 60 }, { b_table + 240, 18049651735527424ull, 18160900218856208374ull, 60 }, { b_table + 256, 70506452221952ull, 6958079033661989376ull, 59 }, { b_table + 288, 275449643008ull, 1152931417475260417ull, 59 }, { b_table + 320, 9733406720ull, 324333952981058569ull, 59 }, { b_table + 352, 2216342585344ull, 2233417073540ull, 59 }, { b_table + 384, 567382630203392ull, 18160876197363646326ull, 60 }, { b_table + 400, 1134765260406784ull, 4325813748086734710ull, 60 }, { b_table + 416, 4512412933816832ull, 8340696151287451643ull, 60 }, { b_table + 432, 9024825867633664ull, 4728811472401641468ull, 60 }, { b_table + 448, 18049651768822272ull, 13545987566076048ull, 57 }, { b_table + 576, 70515108615168ull, 92346884286332932ull, 57 }, { b_table + 704, 2491752130560ull, 1691066098065668ull, 57 }, { b_table + 832, 567383701868544ull, 4611967504410479906ull, 57 }, { b_table + 960, 1134765256220672ull, 8938522175157370742ull, 60 }, { b_table + 976, 2269530512441344ull, 18161331257755361142ull, 60 }, { b_table + 992, 2256206450263040ull, 27198620344386624ull, 59 }, { b_table + 1024, 4512412900526080ull, 866951772143517825ull, 59 }, { b_table + 1056, 9024834391117824ull, 72215929115378704ull, 57 }, { b_table + 1184, 18051867805491712ull, 72339343959916546ull, 55 }, { b_table + 1696, 637888545440768ull, 281767118454784ull, 55 }, { b_table + 2208, 1135039602493440ull, 1153653779904614912ull, 57 }, { b_table + 2336, 2269529440784384ull, 4612302294699476992ull, 59 }, { b_table + 2368, 4539058881568768ull, 216456800063473664ull, 59 }, { b_table + 2400, 1128098963916800ull, 2594689386823057920ull, 59 }, { b_table + 2432, 2256197927833600ull, 5188446696922810368ull, 59 }, { b_table + 2464, 4514594912477184ull, 2307048245776353089ull, 57 }, { b_table + 2592, 9592139778506752ull, 288300779803378176ull, 55 }, { b_table + 3104, 19184279556981248ull, 71469329809472ull, 55 }, { b_table + 3616, 2339762086609920ull, 2893571557215506432ull, 57 }, { b_table + 3744, 4538784537380864ull, 4613940018606768400ull, 59 }, { b_table + 3776, 9077569074761728ull, 9368052511986024585ull, 59 }, { b_table + 3808, 562958610993152ull, 15920182580465156255ull, 60 }, { b_table + 3824, 1125917221986304ull, 17969356424471207979ull, 60 }, { b_table + 3840, 2814792987328512ull, 297800665080565824ull, 57 }, { b_table + 3968, 5629586008178688ull, 108192227674562592ull, 57 }, { b_table + 4096, 11259172008099840ull, 70373190173184ull, 57 }, { b_table + 4224, 22518341868716544ull, 635518828151044ull, 57 }, { b_table + 4352, 9007336962655232ull, 4899804643636939777ull, 60 }, { b_table + 4368, 18014673925310464ull, 5476321683761034753ull, 60 }, { b_table + 4384, 2216338399232ull, 18163002480944018806ull, 60 }, { b_table + 4400, 4432676798464ull, 18161881288420947318ull, 60 }, { b_table + 4416, 11064376819712ull, 613803508138064ull, 59 }, { b_table + 4448, 22137335185408ull, 140738034139202ull, 59 }, { b_table + 4480, 44272556441600ull, 12826814757458805924ull, 59 }, { b_table + 4512, 87995357200384ull, 10205735682080813ull, 59 }, { b_table + 4544, 35253226045952ull, 14123209112897096841ull, 60 }, { b_table + 4560, 70506452091904ull, 14123159053945941129ull, 60 }, { b_table + 4576, 567382630219776ull, 18446740762247425535ull, 59 }, { b_table + 4608, 1134765260406784ull, 18160875434761549174ull, 60 }, { b_table + 4624, 2832480465846272ull, 4611686061528102920ull, 59 }, { b_table + 4656, 5667157807464448ull, 648590914113110536ull, 59 }, { b_table + 4688, 11333774449049600ull, 275952713988ull, 59 }, { b_table + 4720, 22526811443298304ull, 1297609270082273408ull, 59 }, { b_table + 4752, 9024825867763712ull, 18160904646992000822ull, 60 }, { b_table + 4768, 18049651735527936ull, 4899808981553917065ull, 59 }, }; static constexpr Magic r_magics[64] = { { r_table + 0, 282578800148862ull, 1261008170542989728ull, 52 }, { r_table + 4096, 565157600297596ull, 2323927776735797248ull, 53 }, { r_table + 6144, 1130315200595066ull, 11709394228562890752ull, 53 }, { r_table + 8192, 2260630401190006ull, 72066527653924864ull, 53 }, { r_table + 10240, 4521260802379886ull, 180187967707676678ull, 53 }, { r_table + 12288, 9042521604759646ull, 144123988532003328ull, 53 }, { r_table + 14336, 18085043209519166ull, 864695535646277768ull, 53 }, { r_table + 16384, 36170086419038334ull, 1008814159145503745ull, 52 }, { r_table + 20480, 282578800180736ull, 563088550036992ull, 53 }, { r_table + 22528, 565157600328704ull, 11822090034215911561ull, 54 }, { r_table + 23552, 1130315200625152ull, 4647996427866214658ull, 54 }, { r_table + 24576, 2260630401218048ull, 563002034225168ull, 54 }, { r_table + 25600, 4521260802403840ull, 576601506972172416ull, 54 }, { r_table + 26624, 9042521604775424ull, 4613374937075941385ull, 54 }, { r_table + 27648, 18085043209518592ull, 306526542802977024ull, 54 }, { r_table + 28672, 36170086419037696ull, 315955663505213696ull, 53 }, { r_table + 30720, 282578808340736ull, 36029072433758209ull, 53 }, { r_table + 32768, 565157608292864ull, 1747469223740969089ull, 54 }, { r_table + 33792, 1130315208328192ull, 9232379511255877632ull, 54 }, { r_table + 34816, 2260630408398848ull, 666570128384720912ull, 54 }, { r_table + 35840, 4521260808540160ull, 2454603084295308288ull, 54 }, { r_table + 36864, 9042521608822784ull, 10274386439308288ull, 54 }, { r_table + 37888, 18085043209388032ull, 9238576083913779202ull, 54 }, { r_table + 38912, 36170086418907136ull, 90159957934209ull, 53 }, { r_table + 40960, 282580897300736ull, 140877074808832ull, 53 }, { r_table + 43008, 565159647117824ull, 1297178551161716772ull, 54 }, { r_table + 44032, 1130317180306432ull, 9223389631196700672ull, 54 }, { r_table + 45056, 2260632246683648ull, 2308103607268934784ull, 54 }, { r_table + 46080, 4521262379438080ull, 2251817060671552ull, 54 }, { r_table + 47104, 9042522644946944ull, 13840129037287047200ull, 54 }, { r_table + 48128, 18085043175964672ull, 13840969068450152960ull, 54 }, { r_table + 49152, 36170086385483776ull, 9011605893316673ull, 53 }, { r_table + 51200, 283115671060736ull, 1188950576512114816ull, 53 }, { r_table + 53248, 565681586307584ull, 70370908446992ull, 54 }, { r_table + 54272, 1130822006735872ull, 13510936329486352ull, 54 }, { r_table + 55296, 2261102847592448ull, 2305860603555612672ull, 54 }, { r_table + 56320, 4521664529305600ull, 198299138280916992ull, 54 }, { r_table + 57344, 9042787892731904ull, 1154188159190303232ull, 54 }, { r_table + 58368, 18085034619584512ull, 142421182644752ull, 54 }, { r_table + 59392, 36170077829103616ull, 57176785685061ull, 53 }, { r_table + 61440, 420017753620736ull, 9592737575588691968ull, 53 }, { r_table + 63488, 699298018886144ull, 563538368528416ull, 54 }, { r_table + 64512, 1260057572672512ull, 17592722948224ull, 54 }, { r_table + 65536, 2381576680245248ull, 432627107934437385ull, 54 }, { r_table + 66560, 4624614895390720ull, 13835339547573026832ull, 54 }, { r_table + 67584, 9110691325681664ull, 567348033519744ull, 54 }, { r_table + 68608, 18082844186263552ull, 1225122138261553200ull, 54 }, { r_table + 69632, 36167887395782656ull, 576146246860817ull, 53 }, { r_table + 71680, 35466950888980736ull, 5260202827150502400ull, 54 }, { r_table + 72704, 34905104758997504ull, 5260202827150502400ull, 55 }, { r_table + 73216, 34344362452452352ull, 5296232809593843200ull, 55 }, { r_table + 73728, 33222877839362048ull, 7007600874156364288ull, 55 }, { r_table + 74240, 30979908613181440ull, 18446743979218685440ull, 55 }, { r_table + 74752, 26493970160820224ull, 18446744030759085568ull, 55 }, { r_table + 75264, 17522093256097792ull, 1125444202439872ull, 55 }, { r_table + 75776, 35607136465616896ull, 5841168673586058912ull, 54 }, { r_table + 76800, 9079539427579068672ull, 17005591892296975654ull, 53 }, { r_table + 78848, 8935706818303361536ull, 7061642970158444206ull, 54 }, { r_table + 79872, 8792156787827803136ull, 6034823423364870562ull, 54 }, { r_table + 80896, 8505056726876686336ull, 1333065189051839990ull, 54 }, { r_table + 81920, 7930856604974452736ull, 4692750665688806614ull, 54 }, { r_table + 82944, 6782456361169985536ull, 562954383655938ull, 53 }, { r_table + 84992, 4485655873561051136ull, 1125827562356340ull, 54 }, { r_table + 86016, 9115426935197958144ull, 8522499339677771678ull, 53 }, }; static constexpr auto Size = sizeof(r_table) + sizeof(b_table) + (sizeof(b_magics) * 2); static constexpr uint64_t GetRookAttacks(int s, uint64_t occ) { Magic m = r_magics[s]; return m.attacks[((occ & m.inner_mask) * m.magic_num) >> m.shift]; } static constexpr uint64_t GetBishopAttacks(int s, uint64_t occ) { Magic m = b_magics[s]; return m.attacks[((occ & m.inner_mask) * m.magic_num) >> m.shift]; } static constexpr uint64_t Queen(int s, uint64_t occ) { return GetRookAttacks(s, occ) | GetBishopAttacks(s, occ); } template static constexpr uint64_t GetRookAttacks(uint64_t occ) { constexpr Magic m = r_magics[sq]; return m.attacks[((occ & m.inner_mask) * m.magic_num) >> m.shift]; } template static constexpr uint64_t GetBishopAttacks(uint64_t occ) { constexpr Magic m = b_magics[sq]; return m.attacks[((occ & m.inner_mask) * m.magic_num) >> m.shift]; } template static constexpr uint64_t Queen(uint64_t occ) { return GetRookAttacks(occ) | GetBishopAttacks(occ); } }