#define XORWOW_DIM 5 #define XORWOW_BITS 32 #define XORWOW_PRECALC_MATRICES_SZ (XORWOW_BITS * XORWOW_DIM * XORWOW_DIM) #define XORWOW_PRECALC_MATRICES_NUM 32 #define XORWOW_JUMP_LOG2 2 #define XORWOW_JUMP_LOG2_MASK ((1 << XORWOW_JUMP_LOG2) - 1) #define XORWOW_SEQUENCE_JUMP_LOG2 67 static __constant unsigned int precalc_xorwow_skipahead_matrices[XORWOW_PRECALC_MATRICES_NUM][XORWOW_PRECALC_MATRICES_SZ] = { { 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 15, 0, 0, 0, 0, 30, 0, 0, 0, 0, 60, 0, 0, 0, 0, 120, 0, 0, 0, 0, 240, 0, 0, 0, 0, 480, 0, 0, 0, 0, 960, 0, 0, 0, 0, 1920, 0, 0, 0, 0, 3840, 0, 0, 0, 0, 7680, 0, 0, 0, 0, 15360, 0, 0, 0, 0, 30720, 0, 0, 0, 0, 61440, 0, 0, 0, 0, 122880, 0, 0, 0, 0, 245760, 0, 0, 0, 0, 491520, 0, 0, 0, 0, 983040, 0, 0, 0, 0, 1966080, 0, 0, 0, 0, 3932160, 0, 0, 0, 0, 7864320, 0, 0, 0, 0, 15728640, 0, 0, 0, 0, 31457280, 0, 0, 0, 0, 62914560, 0, 0, 0, 0, 125829120, 0, 0, 0, 0, 251658240, 0, 0, 0, 0, 503316480, 0, 0, 0, 0, 1006632960, 0, 0, 0, 0, 2013265920, 0, 0, 0, 0, 4026531840, 0, 0, 0, 0, 3758096384, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 16, 0, 0, 0, 0, 32, 0, 0, 0, 0, 64, 0, 0, 0, 0, 128, 0, 0, 0, 0, 256, 0, 0, 0, 0, 512, 0, 0, 0, 0, 1024, 0, 0, 0, 0, 2048, 0, 0, 0, 0, 4096, 0, 0, 0, 0, 8192, 0, 0, 0, 0, 16384, 0, 0, 0, 0, 32768, 0, 0, 0, 0, 65536, 0, 0, 0, 0, 131072, 0, 0, 0, 0, 262144, 0, 0, 0, 0, 524288, 0, 0, 0, 0, 1048576, 0, 0, 0, 0, 2097152, 0, 0, 0, 0, 4194304, 0, 0, 0, 0, 8388608, 0, 0, 0, 0, 16777216, 0, 0, 0, 0, 33554432, 0, 0, 0, 0, 67108864, 0, 0, 0, 0, 134217728, 0, 0, 0, 0, 268435456, 0, 0, 0, 0, 536870912, 0, 0, 0, 0, 1073741824, 0, 0, 0, 0, 2147483648, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 16, 0, 0, 0, 0, 32, 0, 0, 0, 0, 64, 0, 0, 0, 0, 128, 0, 0, 0, 0, 256, 0, 0, 0, 0, 512, 0, 0, 0, 0, 1024, 0, 0, 0, 0, 2048, 0, 0, 0, 0, 4096, 0, 0, 0, 0, 8192, 0, 0, 0, 0, 16384, 0, 0, 0, 0, 32768, 0, 0, 0, 0, 65536, 0, 0, 0, 0, 131072, 0, 0, 0, 0, 262144, 0, 0, 0, 0, 524288, 0, 0, 0, 0, 1048576, 0, 0, 0, 0, 2097152, 0, 0, 0, 0, 4194304, 0, 0, 0, 0, 8388608, 0, 0, 0, 0, 16777216, 0, 0, 0, 0, 33554432, 0, 0, 0, 0, 67108864, 0, 0, 0, 0, 134217728, 0, 0, 0, 0, 268435456, 0, 0, 0, 0, 536870912, 0, 0, 0, 0, 1073741824, 0, 0, 0, 0, 2147483648, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 16, 0, 0, 0, 0, 32, 0, 0, 0, 0, 64, 0, 0, 0, 0, 128, 0, 0, 0, 0, 256, 0, 0, 0, 0, 512, 0, 0, 0, 0, 1024, 0, 0, 0, 0, 2048, 0, 0, 0, 0, 4096, 0, 0, 0, 0, 8192, 0, 0, 0, 0, 16384, 0, 0, 0, 0, 32768, 0, 0, 0, 0, 65536, 0, 0, 0, 0, 131072, 0, 0, 0, 0, 262144, 0, 0, 0, 0, 524288, 0, 0, 0, 0, 1048576, 0, 0, 0, 0, 2097152, 0, 0, 0, 0, 4194304, 0, 0, 0, 0, 8388608, 0, 0, 0, 0, 16777216, 0, 0, 0, 0, 33554432, 0, 0, 0, 0, 67108864, 0, 0, 0, 0, 134217728, 0, 0, 0, 0, 268435456, 0, 0, 0, 0, 536870912, 0, 0, 0, 0, 1073741824, 0, 0, 0, 0, 2147483648, 0, 0, 0, 0, 0, 1, 17, 0, 0, 0, 2, 34, 0, 0, 0, 4, 68, 0, 0, 0, 8, 136, 0, 0, 0, 16, 272, 0, 0, 0, 32, 544, 0, 0, 0, 64, 1088, 0, 0, 0, 128, 2176, 0, 0, 0, 256, 4352, 0, 0, 0, 512, 8704, 0, 0, 0, 1024, 17408, 0, 0, 0, 2048, 34816, 0, 0, 0, 4096, 69632, 0, 0, 0, 8192, 139264, 0, 0, 0, 16384, 278528, 0, 0, 0, 32768, 557056, 0, 0, 0, 65536, 1114112, 0, 0, 0, 131072, 2228224, 0, 0, 0, 262144, 4456448, 0, 0, 0, 524288, 8912896, 0, 0, 0, 1048576, 17825792, 0, 0, 0, 2097152, 35651584, 0, 0, 0, 4194304, 71303168, 0, 0, 0, 8388608, 142606336, 0, 0, 0, 16777216, 285212672, 0, 0, 0, 33554432, 570425344, 0, 0, 0, 67108864, 1140850688, 0, 0, 0, 134217728, 2281701376, 0, 0, 0, 268435456, 268435456, 0, 0, 0, 536870912, 536870912, 0, 0, 0, 1073741824, 1073741824, 0, 0, 0, 2147483648, 2147483648, }, { 0, 3, 51, 771, 13107, 0, 6, 102, 1542, 26214, 0, 15, 255, 3855, 65535, 0, 30, 510, 7710, 131070, 0, 60, 1020, 15420, 262140, 0, 120, 2040, 30840, 524280, 0, 240, 4080, 61680, 1048560, 0, 480, 8160, 123360, 2097120, 0, 960, 16320, 246720, 4194240, 0, 1920, 32640, 493440, 8388480, 0, 3840, 65280, 986880, 16776960, 0, 7680, 130560, 1973760, 33553920, 0, 15360, 261120, 3947520, 67107840, 0, 30720, 522240, 7895040, 134215680, 0, 61440, 1044480, 15790080, 268431360, 0, 122880, 2088960, 31580160, 536862720, 0, 245760, 4177920, 63160320, 1073725440, 0, 491520, 8355840, 126320640, 2147450880, 0, 983040, 16711680, 252641280, 4294901760, 0, 1966080, 33423360, 505282560, 4294836224, 0, 3932160, 66846720, 1010565120, 4294705152, 0, 7864320, 133693440, 2021130240, 4294443008, 0, 15728640, 267386880, 4042260480, 4293918720, 0, 31457280, 534773760, 3789553664, 4292870144, 0, 62914560, 1069547520, 3284140032, 4290772992, 0, 125829120, 2139095040, 2273312768, 4286578688, 0, 251658240, 4278190080, 251658240, 4278190080, 0, 503316480, 4261412864, 503316480, 4261412864, 0, 1006632960, 4227858432, 1006632960, 4227858432, 0, 2013265920, 4160749568, 2013265920, 4160749568, 0, 4026531840, 4026531840, 4026531840, 4026531840, 0, 3758096384, 3758096384, 3758096384, 3758096384, 0, 0, 3, 51, 771, 0, 0, 6, 102, 1542, 0, 0, 15, 255, 3855, 0, 0, 30, 510, 7710, 0, 0, 60, 1020, 15420, 0, 0, 120, 2040, 30840, 0, 0, 240, 4080, 61680, 0, 0, 480, 8160, 123360, 0, 0, 960, 16320, 246720, 0, 0, 1920, 32640, 493440, 0, 0, 3840, 65280, 986880, 0, 0, 7680, 130560, 1973760, 0, 0, 15360, 261120, 3947520, 0, 0, 30720, 522240, 7895040, 0, 0, 61440, 1044480, 15790080, 0, 0, 122880, 2088960, 31580160, 0, 0, 245760, 4177920, 63160320, 0, 0, 491520, 8355840, 126320640, 0, 0, 983040, 16711680, 252641280, 0, 0, 1966080, 33423360, 505282560, 0, 0, 3932160, 66846720, 1010565120, 0, 0, 7864320, 133693440, 2021130240, 0, 0, 15728640, 267386880, 4042260480, 0, 0, 31457280, 534773760, 3789553664, 0, 0, 62914560, 1069547520, 3284140032, 0, 0, 125829120, 2139095040, 2273312768, 0, 0, 251658240, 4278190080, 251658240, 0, 0, 503316480, 4261412864, 503316480, 0, 0, 1006632960, 4227858432, 1006632960, 0, 0, 2013265920, 4160749568, 2013265920, 0, 0, 4026531840, 4026531840, 4026531840, 0, 0, 3758096384, 3758096384, 3758096384, 0, 0, 0, 3, 51, 0, 0, 0, 6, 102, 0, 0, 0, 15, 255, 0, 0, 0, 30, 510, 0, 0, 0, 60, 1020, 0, 0, 0, 120, 2040, 0, 0, 0, 240, 4080, 0, 0, 0, 480, 8160, 0, 0, 0, 960, 16320, 0, 0, 0, 1920, 32640, 0, 0, 0, 3840, 65280, 0, 0, 0, 7680, 130560, 0, 0, 0, 15360, 261120, 0, 0, 0, 30720, 522240, 0, 0, 0, 61440, 1044480, 0, 0, 0, 122880, 2088960, 0, 0, 0, 245760, 4177920, 0, 0, 0, 491520, 8355840, 0, 0, 0, 983040, 16711680, 0, 0, 0, 1966080, 33423360, 0, 0, 0, 3932160, 66846720, 0, 0, 0, 7864320, 133693440, 0, 0, 0, 15728640, 267386880, 0, 0, 0, 31457280, 534773760, 0, 0, 0, 62914560, 1069547520, 0, 0, 0, 125829120, 2139095040, 0, 0, 0, 251658240, 4278190080, 0, 0, 0, 503316480, 4261412864, 0, 0, 0, 1006632960, 4227858432, 0, 0, 0, 2013265920, 4160749568, 0, 0, 0, 4026531840, 4026531840, 0, 0, 0, 3758096384, 3758096384, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 15, 0, 0, 0, 0, 30, 0, 0, 0, 0, 60, 0, 0, 0, 0, 120, 0, 0, 0, 0, 240, 0, 0, 0, 0, 480, 0, 0, 0, 0, 960, 0, 0, 0, 0, 1920, 0, 0, 0, 0, 3840, 0, 0, 0, 0, 7680, 0, 0, 0, 0, 15360, 0, 0, 0, 0, 30720, 0, 0, 0, 0, 61440, 0, 0, 0, 0, 122880, 0, 0, 0, 0, 245760, 0, 0, 0, 0, 491520, 0, 0, 0, 0, 983040, 0, 0, 0, 0, 1966080, 0, 0, 0, 0, 3932160, 0, 0, 0, 0, 7864320, 0, 0, 0, 0, 15728640, 0, 0, 0, 0, 31457280, 0, 0, 0, 0, 62914560, 0, 0, 0, 0, 125829120, 0, 0, 0, 0, 251658240, 0, 0, 0, 0, 503316480, 0, 0, 0, 0, 1006632960, 0, 0, 0, 0, 2013265920, 0, 0, 0, 0, 4026531840, 0, 0, 0, 0, 3758096384, 1, 17, 257, 4369, 65537, 2, 34, 514, 8738, 131074, 4, 68, 1028, 17476, 262148, 8, 136, 2056, 34952, 524296, 16, 272, 4112, 69904, 1048592, 32, 544, 8224, 139808, 2097184, 64, 1088, 16448, 279616, 4194368, 128, 2176, 32896, 559232, 8388736, 256, 4352, 65792, 1118464, 16777472, 512, 8704, 131584, 2236928, 33554944, 1024, 17408, 263168, 4473856, 67109888, 2048, 34816, 526336, 8947712, 134219776, 4096, 69632, 1052672, 17895424, 268439552, 8192, 139264, 2105344, 35790848, 536879104, 16384, 278528, 4210688, 71581696, 1073758208, 32768, 557056, 8421376, 143163392, 2147516416, 65536, 1114112, 16842752, 286326784, 65536, 131072, 2228224, 33685504, 572653568, 131072, 262144, 4456448, 67371008, 1145307136, 262144, 524288, 8912896, 134742016, 2290614272, 524288, 1048576, 17825792, 269484032, 286261248, 1048576, 2097152, 35651584, 538968064, 572522496, 2097152, 4194304, 71303168, 1077936128, 1145044992, 4194304, 8388608, 142606336, 2155872256, 2290089984, 8388608, 16777216, 285212672, 16777216, 285212672, 16777216, 33554432, 570425344, 33554432, 570425344, 33554432, 67108864, 1140850688, 67108864, 1140850688, 67108864, 134217728, 2281701376, 134217728, 2281701376, 134217728, 268435456, 268435456, 268435456, 268435456, 268435456, 536870912, 536870912, 536870912, 536870912, 536870912, 1073741824, 1073741824, 1073741824, 1073741824, 1073741824, 2147483648, 2147483648, 2147483648, 2147483648, 2147483648, }, { 85009117, 335741939, 1412632518, 386859243, 1741437244, 152139416, 403047142, 2556825231, 505087203, 4287193174, 335609039, 336528191, 1425998811, 456920088, 2832198590, 724748988, 3625845630, 1509824181, 3330088197, 2710488401, 1431742057, 1077674236, 1140592489, 2096905276, 3007294393, 2863484114, 1081606648, 1207443154, 972585080, 2793363314, 1432000919, 1089470704, 1341132452, 3019109363, 2362285522, 1790260014, 2178941408, 2682264904, 1743251430, 429603751, 359294556, 62915520, 1069562512, 3486502860, 859207501, 3939814584, 125831040, 2139125024, 2678038424, 1718415002, 363436400, 251662080, 4278250048, 1061109552, 3436830004, 3948098272, 503324160, 4261532800, 2122219104, 2310257256, 380003776, 1006648320, 4228098304, 4244438208, 3278337232, 3981233024, 2013296640, 4161229312, 4193909120, 2530142624, 446273280, 4026593280, 4027491328, 871625472, 4254978880, 4113772032, 3758219264, 3760015360, 2011686400, 3946555008, 711351296, 3221471232, 3225063424, 4291808256, 108481792, 2496444416, 2147975168, 2155159552, 4020213760, 485399040, 3919147008, 983040, 15351808, 255799296, 3923588096, 322101248, 1966080, 299139072, 511598592, 3283773440, 3865427968, 3932160, 4087939072, 1023197184, 1467273216, 214663168, 7864320, 4149346304, 2046394368, 3202981888, 3650551808, 3236954112, 1050935296, 871563264, 2916302848, 1932394496, 2447376384, 1833435136, 2011561984, 2342944768, 643563520, 868220928, 177209344, 4291559424, 122486784, 2360868864, 2004877312, 85983232, 4019716096, 3734634496, 3647995904, 1056964608, 3661627392, 254803968, 2905866240, 1658847232, 2113929216, 3028287488, 3730833408, 2322071552, 3586129920, 4227858432, 1761607680, 2092957696, 80740352, 2071986176, 4160749568, 3523215360, 964689920, 429916160, 3875536896, 4026531840, 2751463424, 1929379840, 4081057792, 503316480, 3758096384, 2281701376, 4127195136, 3397386240, 1316635, 85009117, 335741939, 1412632518, 386859243, 1580547, 152139416, 403047142, 2556825231, 505087203, 1317672, 335609039, 336528191, 1425998811, 456920088, 1574501, 724748988, 3625845630, 1509824181, 3330088197, 15612, 1431742057, 1077674236, 1140592489, 2096905276, 31224, 2863484114, 1081606648, 1207443154, 972585080, 62451, 1432000919, 1089470704, 1341132452, 3019109363, 124902, 1790260014, 2178941408, 2682264904, 1743251430, 249804, 359294556, 62915520, 1069562512, 3486502860, 499608, 3939814584, 125831040, 2139125024, 2678038424, 999216, 363436400, 251662080, 4278250048, 1061109552, 3223223904, 3948098272, 503324160, 4261532800, 2122219104, 1077738688, 380003776, 1006648320, 4228098304, 4244438208, 1081735552, 3981233024, 2013296640, 4161229312, 4193909120, 1089729280, 446273280, 4026593280, 4027491328, 871625472, 2179458560, 4113772032, 3758219264, 3760015360, 2011686400, 63949824, 711351296, 3221471232, 3225063424, 4291808256, 127899648, 2496444416, 2147975168, 2155159552, 4020213760, 255799296, 3919147008, 983040, 15351808, 255799296, 3732824064, 322101248, 1966080, 299139072, 511598592, 2096939008, 3865427968, 3932160, 4087939072, 1023197184, 972652544, 214663168, 7864320, 4149346304, 2046394368, 3019046912, 3650551808, 3236954112, 1050935296, 871563264, 1743126528, 1932394496, 2447376384, 1833435136, 2011561984, 3486253056, 643563520, 868220928, 177209344, 4291559424, 2677538816, 2360868864, 2004877312, 85983232, 4019716096, 1060110336, 3647995904, 1056964608, 3661627392, 254803968, 3193962496, 1658847232, 2113929216, 3028287488, 3730833408, 3166699520, 3586129920, 4227858432, 1761607680, 2092957696, 3112173568, 2071986176, 4160749568, 3523215360, 964689920, 1929379840, 3875536896, 4026531840, 2751463424, 1929379840, 4127195136, 503316480, 3758096384, 2281701376, 4127195136, 332854, 1316635, 85009117, 335741939, 1412632518, 596079, 1580547, 152139416, 403047142, 2556825231, 1316075, 1317672, 335609039, 336528191, 1425998811, 2824661, 1574501, 724748988, 3625845630, 1509824181, 5571497, 15612, 1431742057, 1077674236, 1140592489, 11142994, 31224, 2863484114, 1081606648, 1207443154, 22285988, 62451, 1432000919, 1089470704, 1341132452, 44571976, 124902, 1790260014, 2178941408, 2682264904, 89143952, 249804, 359294556, 62915520, 1069562512, 178287904, 499608, 3939814584, 125831040, 2139125024, 356575808, 999216, 363436400, 251662080, 4278250048, 713151616, 3223223904, 3948098272, 503324160, 4261532800, 1426303232, 1077738688, 380003776, 1006648320, 4228098304, 2852606464, 1081735552, 3981233024, 2013296640, 4161229312, 1410245632, 1089729280, 446273280, 4026593280, 4027491328, 1746749440, 2179458560, 4113772032, 3758219264, 3760015360, 272273408, 63949824, 711351296, 3221471232, 3225063424, 3765772288, 127899648, 2496444416, 2147975168, 2155159552, 15351808, 255799296, 3919147008, 983040, 15351808, 3251929088, 3732824064, 322101248, 1966080, 299139072, 1135149056, 2096939008, 3865427968, 3932160, 4087939072, 1196556288, 972652544, 214663168, 7864320, 4149346304, 1319370752, 3019046912, 3650551808, 3236954112, 1050935296, 2638741504, 1743126528, 1932394496, 2447376384, 1833435136, 982515712, 3486253056, 643563520, 868220928, 177209344, 1965031424, 2677538816, 2360868864, 2004877312, 85983232, 3930062848, 1060110336, 3647995904, 1056964608, 3661627392, 3565158400, 3193962496, 1658847232, 2113929216, 3028287488, 2835349504, 3166699520, 3586129920, 4227858432, 1761607680, 1375731712, 3112173568, 2071986176, 4160749568, 3523215360, 2751463424, 1929379840, 3875536896, 4026531840, 2751463424, 2281701376, 4127195136, 503316480, 3758096384, 2281701376, 5123, 332854, 1316635, 85009117, 335741939, 6150, 596079, 1580547, 152139416, 403047142, 5135, 1316075, 1317672, 335609039, 336528191, 6174, 2824661, 1574501, 724748988, 3625845630, 60, 5571497, 15612, 1431742057, 1077674236, 120, 11142994, 31224, 2863484114, 1081606648, 240, 22285988, 62451, 1432000919, 1089470704, 480, 44571976, 124902, 1790260014, 2178941408, 960, 89143952, 249804, 359294556, 62915520, 1920, 178287904, 499608, 3939814584, 125831040, 3840, 356575808, 999216, 363436400, 251662080, 7680, 713151616, 3223223904, 3948098272, 503324160, 15360, 1426303232, 1077738688, 380003776, 1006648320, 30720, 2852606464, 1081735552, 3981233024, 2013296640, 61440, 1410245632, 1089729280, 446273280, 4026593280, 122880, 1746749440, 2179458560, 4113772032, 3758219264, 245760, 272273408, 63949824, 711351296, 3221471232, 491520, 3765772288, 127899648, 2496444416, 2147975168, 983040, 15351808, 255799296, 3919147008, 983040, 3223191552, 3251929088, 3732824064, 322101248, 1966080, 1077673984, 1135149056, 2096939008, 3865427968, 3932160, 1081606144, 1196556288, 972652544, 214663168, 7864320, 1089470464, 1319370752, 3019046912, 3650551808, 3236954112, 2178940928, 2638741504, 1743126528, 1932394496, 2447376384, 62914560, 982515712, 3486253056, 643563520, 868220928, 125829120, 1965031424, 2677538816, 2360868864, 2004877312, 251658240, 3930062848, 1060110336, 3647995904, 1056964608, 503316480, 3565158400, 3193962496, 1658847232, 2113929216, 1006632960, 2835349504, 3166699520, 3586129920, 4227858432, 2013265920, 1375731712, 3112173568, 2071986176, 4160749568, 4026531840, 2751463424, 1929379840, 3875536896, 4026531840, 3758096384, 2281701376, 4127195136, 503316480, 3758096384, 201392209, 3423671362, 218366296, 3713336838, 206572594, 402785186, 2552372100, 436928947, 3130605370, 463476848, 262468, 4461835, 68158800, 1158700908, 20971524, 524680, 8919318, 136513955, 2316537326, 25165852, 3222274064, 3239051564, 3494187077, 3558090985, 3221225500, 2149580832, 2183135832, 2693406858, 2821214674, 2147483704, 4194368, 71304368, 1091846420, 1347462055, 64, 8388736, 142608736, 2183692840, 2694924110, 3221225600, 16777472, 285217472, 72418384, 1094880924, 1342177536, 33554944, 570434944, 144836768, 2189761848, 2684355072, 67109888, 1140869888, 289673536, 84556400, 1073742848, 134219776, 2281739776, 579347072, 169112800, 2147485696, 268439552, 268512256, 1158694144, 69790144, 4096, 536879104, 537024512, 2317388288, 3360805760, 8192, 1073758208, 1074049024, 339809280, 1352902400, 16384, 2147516416, 2148098048, 3900844032, 1632062976, 32768, 65536, 1228800, 17059840, 311335936, 65536, 131072, 2457600, 34119680, 622671872, 131072, 262144, 4915200, 68239360, 1245343744, 262144, 524288, 9830400, 136478720, 2490687488, 524288, 1048576, 288096256, 272957440, 954843136, 3222274048, 2097152, 3797417984, 545914880, 2983428096, 2149580800, 4194304, 78643200, 1091829760, 2745630720, 4194304, 3229614080, 3378511872, 1109917696, 2270035968, 8388608, 1358954496, 1119879168, 1414529024, 513540096, 16777216, 2717908992, 2239758336, 2829058048, 1027080192, 33554432, 1140850688, 184549376, 1363148800, 2054160384, 3288334336, 2281701376, 369098752, 2726297600, 4108320768, 2281701376, 268435456, 738197504, 2231369728, 968884224, 3959422976, 536870912, 1476395008, 167772160, 3011510272, 3355443200, 1073741824, 2952790016, 335544320, 1728053248, 2147483648, 2147483648, 1610612736, 3892314112, 503316480, 0, }, { 1939838472, 1412147404, 166205219, 1757484276, 2905930693, 2345662040, 2845657161, 253454719, 2661974169, 303781080, 4075331504, 31014156, 244538930, 3752264221, 992575155, 219309525, 246620060, 215640989, 4125020723, 2016731730, 3236558869, 297169276, 3293566751, 1867504216, 210423272, 2531663658, 499723753, 1730625896, 189236880, 3388575408, 2433358422, 1368961148, 3134096848, 2827836415, 3888822753, 4172043647, 3379360748, 2651760955, 1345081091, 627692776, 189423917, 1927379456, 4004336944, 2995932065, 1882016234, 2551113616, 1576396048, 1299792730, 2151240795, 2154814108, 4292139924, 3555849728, 943986992, 3169912733, 2631635779, 3478094562, 1285558544, 3716074330, 2780749859, 3911106510, 4175656994, 1731832828, 1275401375, 937322456, 3802094750, 1145506936, 1008905193, 1718801768, 645739137, 1356219146, 827886816, 1722154800, 2242776733, 754630810, 772070504, 249481170, 2608123425, 2087201889, 3200968096, 3292110026, 841433255, 477543427, 1878882709, 705347364, 4003860146, 3194913138, 2616490007, 357561212, 2446098297, 2955680594, 2512991743, 637464579, 1209132455, 1341312804, 612108672, 2455017713, 1749147666, 4020226825, 2873924220, 499405095, 1837614076, 1227604028, 714577577, 165950208, 442290261, 489077752, 216760440, 42151250, 426862080, 2810242474, 4112075489, 3514761468, 4101921371, 982512636, 500792667, 4286077681, 198050301, 1858712743, 2913642493, 3547545255, 3981929169, 2944140287, 2286578015, 3422343167, 1239123295, 2026367394, 3269986302, 3028402878, 2709637886, 1096011710, 294584132, 3086749695, 3324400975, 1164394495, 4290155855, 543687304, 4008517630, 836370334, 1876426750, 2362048414, 3578325264, 3221487612, 2671154748, 3395518460, 2018383420, 2131029536, 2165829624, 697661816, 1336049656, 3309365624, 4259639360, 3423548400, 2416417776, 1633698800, 1630071792, 41950336, 3423478496, 2885608160, 3943744224, 677380832, 4179285363, 1939838472, 1412147404, 166205219, 1757484276, 3838244595, 2345662040, 2845657161, 253454719, 2661974169, 138737288, 4075331504, 31014156, 244538930, 3752264221, 1503392345, 219309525, 246620060, 215640989, 4125020723, 1759481152, 3236558869, 297169276, 3293566751, 1867504216, 3898070400, 2531663658, 499723753, 1730625896, 189236880, 2610231010, 2433358422, 1368961148, 3134096848, 2827836415, 3903474593, 4172043647, 3379360748, 2651760955, 1345081091, 1267864331, 189423917, 1927379456, 4004336944, 2995932065, 3452816347, 2551113616, 1576396048, 1299792730, 2151240795, 1222520631, 4292139924, 3555849728, 943986992, 3169912733, 3260130211, 3478094562, 1285558544, 3716074330, 2780749859, 3039362306, 4175656994, 1731832828, 1275401375, 937322456, 3236754932, 1145506936, 1008905193, 1718801768, 645739137, 1358079399, 827886816, 1722154800, 2242776733, 754630810, 1748663943, 249481170, 2608123425, 2087201889, 3200968096, 698076610, 841433255, 477543427, 1878882709, 705347364, 3692794996, 3194913138, 2616490007, 357561212, 2446098297, 2771068186, 2512991743, 637464579, 1209132455, 1341312804, 27937268, 2455017713, 1749147666, 4020226825, 2873924220, 1673040956, 1837614076, 1227604028, 714577577, 165950208, 528340088, 489077752, 216760440, 42151250, 426862080, 1646215396, 4112075489, 3514761468, 4101921371, 982512636, 2095821304, 4286077681, 198050301, 1858712743, 2913642493, 277300160, 3981929169, 2944140287, 2286578015, 3422343167, 1178044288, 2026367394, 3269986302, 3028402878, 2709637886, 2234191616, 294584132, 3086749695, 3324400975, 1164394495, 136978944, 543687304, 4008517630, 836370334, 1876426750, 3275253760, 3578325264, 3221487612, 2671154748, 3395518460, 3942394880, 2131029536, 2165829624, 697661816, 1336049656, 3265045504, 4259639360, 3423548400, 2416417776, 1633698800, 3943712768, 41950336, 3423478496, 2885608160, 3943744224, 2293593009, 4179285363, 1939838472, 1412147404, 166205219, 715714152, 3838244595, 2345662040, 2845657161, 253454719, 3758048260, 138737288, 4075331504, 31014156, 244538930, 370671650, 1503392345, 219309525, 246620060, 215640989, 2219162331, 1759481152, 3236558869, 297169276, 3293566751, 135243402, 3898070400, 2531663658, 499723753, 1730625896, 3142293713, 2610231010, 2433358422, 1368961148, 3134096848, 486949791, 3903474593, 4172043647, 3379360748, 2651760955, 3172880550, 1267864331, 189423917, 1927379456, 4004336944, 191463910, 3452816347, 2551113616, 1576396048, 1299792730, 4411574, 1222520631, 4292139924, 3555849728, 943986992, 3073348038, 3260130211, 3478094562, 1285558544, 3716074330, 3098363790, 3039362306, 4175656994, 1731832828, 1275401375, 468159532, 3236754932, 1145506936, 1008905193, 1718801768, 1092964081, 1358079399, 827886816, 1722154800, 2242776733, 53128947, 1748663943, 249481170, 2608123425, 2087201889, 1960144614, 698076610, 841433255, 477543427, 1878882709, 1505419004, 3692794996, 3194913138, 2616490007, 357561212, 2823143358, 2771068186, 2512991743, 637464579, 1209132455, 1991737212, 27937268, 2455017713, 1749147666, 4020226825, 2907896812, 1673040956, 1837614076, 1227604028, 714577577, 3633969112, 528340088, 489077752, 216760440, 42151250, 2886728356, 1646215396, 4112075489, 3514761468, 4101921371, 3507686008, 2095821304, 4286077681, 198050301, 1858712743, 1463806912, 277300160, 3981929169, 2944140287, 2286578015, 4137888640, 1178044288, 2026367394, 3269986302, 3028402878, 1276820224, 2234191616, 294584132, 3086749695, 3324400975, 4274031104, 136978944, 543687304, 4008517630, 836370334, 2978609152, 3275253760, 3578325264, 3221487612, 2671154748, 2296777728, 3942394880, 2131029536, 2165829624, 697661816, 1086645248, 3265045504, 4259639360, 3423548400, 2416417776, 2295121920, 3943712768, 41950336, 3423478496, 2885608160, 3290486993, 2293593009, 4179285363, 1939838472, 1412147404, 3718742914, 715714152, 3838244595, 2345662040, 2845657161, 3251034248, 3758048260, 138737288, 4075331504, 31014156, 2257801369, 370671650, 1503392345, 219309525, 246620060, 1375177854, 2219162331, 1759481152, 3236558869, 297169276, 2981812236, 135243402, 3898070400, 2531663658, 499723753, 1103465850, 3142293713, 2610231010, 2433358422, 1368961148, 2570001060, 486949791, 3903474593, 4172043647, 3379360748, 1922171925, 3172880550, 1267864331, 189423917, 1927379456, 1359812359, 191463910, 3452816347, 2551113616, 1576396048, 2518549525, 4411574, 1222520631, 4292139924, 3555849728, 949028615, 3073348038, 3260130211, 3478094562, 1285558544, 4113039486, 3098363790, 3039362306, 4175656994, 1731832828, 1827471372, 468159532, 3236754932, 1145506936, 1008905193, 1626341859, 1092964081, 1358079399, 827886816, 1722154800, 1069547583, 53128947, 1748663943, 249481170, 2608123425, 3162506114, 1960144614, 698076610, 841433255, 477543427, 3641706484, 1505419004, 3692794996, 3194913138, 2616490007, 3623882586, 2823143358, 2771068186, 2512991743, 637464579, 16785012, 1991737212, 27937268, 2455017713, 1749147666, 2348825660, 2907896812, 1673040956, 1837614076, 1227604028, 2579527800, 3633969112, 528340088, 489077752, 216760440, 3628134628, 2886728356, 1646215396, 4112075489, 3514761468, 1602085368, 3507686008, 2095821304, 4286077681, 198050301, 2501362624, 1463806912, 277300160, 3981929169, 2944140287, 4112467840, 4137888640, 1178044288, 2026367394, 3269986302, 3356184320, 1276820224, 2234191616, 294584132, 3086749695, 366387712, 4274031104, 136978944, 543687304, 4008517630, 1006135296, 2978609152, 3275253760, 3578325264, 3221487612, 3104844800, 2296777728, 3942394880, 2131029536, 2165829624, 1874371584, 1086645248, 3265045504, 4259639360, 3423548400, 2975352832, 2295121920, 3943712768, 41950336, 3423478496, 989898496, 3410688577, 2331788830, 3546482013, 813828841, 1865093068, 3265457506, 3795669738, 2119696024, 4285651426, 3333834629, 3451487261, 2090324595, 1816963648, 932961512, 2470761029, 3401764108, 3421619354, 4199624502, 589386372, 879396240, 3372470254, 2693109296, 2424215996, 38442268, 1882087724, 171397600, 2024561281, 183095586, 3282207272, 3402177296, 1859195498, 413109947, 2839537944, 1632143648, 3742715856, 388696500, 1748703733, 3563198567, 3826785440, 2896086528, 3989037829, 1478787788, 1390277813, 2123320736, 3416516800, 2056564203, 2584895011, 1605192736, 2475623616, 3856499712, 3439657984, 708088129, 1501395566, 1302184960, 1360092352, 1645630430, 1425230387, 3369488824, 2979863936, 869212432, 150548847, 1097557362, 655939640, 316553344, 3761918508, 3958338094, 141744600, 1412214640, 1859689984, 3200680981, 3883058679, 999801880, 3946079738, 1876072704, 194381849, 2177533995, 1584707624, 3053768410, 2593051904, 3458076673, 4047442835, 3545972808, 3441793178, 194975744, 1731731470, 4168755162, 2628944732, 2125675784, 3119906816, 960774145, 2646626078, 2152793157, 3049156634, 672464896, 3046932493, 3700727536, 2152335477, 575986696, 671940608, 2208366608, 1454456125, 937760016, 4103979069, 2737668096, 1179779104, 1030912634, 1041902112, 2032909434, 2274230272, 2089025605, 3050632421, 2428784965, 140658149, 4254138368, 1745354889, 711584249, 2746523017, 2551006457, 1100808192, 1494221073, 3422999489, 2696954129, 976716737, 2653421568, 3806331426, 3690047362, 1481392674, 3817015170, 2353004544, 286262340, 2300534532, 4206449732, 15339268, 2894069760, 488376456, 1489927688, 1196583048, 652746248, 2214592512, 69904, 1006205200, 2322628880, 1229515024, 2617245696, 3423527456, 1964953120, 4260938272, 386199072, 1744830464, 1342444608, 1069330496, 2138592320, 3185897536, 1073741824, 1342493824, 3780942976, 1771066496, 2189433984, 2147483648, }, { 1804684571, 2106089606, 1533056158, 2870216110, 3618155659, 3789871366, 4246691682, 3667072763, 1212241769, 3152390668, 2973497449, 2958641966, 2088805328, 717518631, 2401090860, 3606967204, 952637656, 59827581, 1291486682, 1499453515, 2053994857, 563998083, 4094000396, 1163546899, 1003843565, 654565639, 1070907026, 4217851863, 426034251, 1721352737, 278404469, 3899800390, 1063362170, 1162348262, 3153545093, 3249996223, 186674553, 2616406148, 3137968354, 1282784965, 1495068058, 3033760361, 2278144523, 3192245769, 719586342, 2602548287, 3386583150, 355354345, 3252815848, 2178056037, 2283016801, 3005955037, 3340254490, 802791670, 251122316, 3705188626, 1252262272, 3989036796, 3527490452, 2047131255, 1447170583, 3373930285, 2895037457, 209341805, 1820357643, 3712392731, 685796521, 1322920440, 814388470, 1357857147, 434430265, 2650681935, 1371566728, 58783716, 2273435933, 3498513198, 792571900, 1447808772, 3513385860, 99175889, 1105434360, 1484146625, 3327194068, 242672513, 3552105593, 1425844616, 2871928454, 1124633561, 607610433, 2130018608, 1610235673, 2844230432, 2748082340, 994392866, 450823250, 2912535126, 2574390988, 3974009252, 78696582, 649682891, 3980917176, 3221419689, 960695436, 729221508, 358358845, 3392407691, 472711005, 295914899, 3005191796, 3078521977, 3370011868, 509135340, 1965939519, 2086465877, 2457949822, 1324152522, 762289386, 3618693997, 233730715, 2873984650, 31168606, 3367142977, 2851851305, 3251660053, 4209768406, 3298190175, 901235185, 1564391510, 2352686527, 1008150482, 578573310, 3462447127, 2482873876, 1790221257, 2255375608, 2335345651, 1381450613, 2866805101, 1495073163, 519905259, 3184556473, 1076378339, 2692926127, 970097715, 4013407916, 4014350363, 2476927059, 1989070516, 2640060069, 1987784589, 1880989003, 3861138803, 451743296, 1987067871, 1975657871, 3397816882, 2309900530, 4108425851, 4063867233, 3319482186, 2621772886, 1804684571, 2106089606, 1533056158, 2870216110, 611557097, 3789871366, 4246691682, 3667072763, 1212241769, 3389551988, 2973497449, 2958641966, 2088805328, 717518631, 2460955430, 3606967204, 952637656, 59827581, 1291486682, 3531087304, 2053994857, 563998083, 4094000396, 1163546899, 1242934125, 654565639, 1070907026, 4217851863, 426034251, 3034416129, 278404469, 3899800390, 1063362170, 1162348262, 4258714417, 3249996223, 186674553, 2616406148, 3137968354, 639885806, 1495068058, 3033760361, 2278144523, 3192245769, 4159910300, 2602548287, 3386583150, 355354345, 3252815848, 1555885880, 2283016801, 3005955037, 3340254490, 802791670, 2948774612, 3705188626, 1252262272, 3989036796, 3527490452, 2107826711, 1447170583, 3373930285, 2895037457, 209341805, 3763367196, 3712392731, 685796521, 1322920440, 814388470, 1986168339, 434430265, 2650681935, 1371566728, 58783716, 1423189187, 3498513198, 792571900, 1447808772, 3513385860, 315969823, 1105434360, 1484146625, 3327194068, 242672513, 3336228275, 1425844616, 2871928454, 1124633561, 607610433, 1762052458, 1610235673, 2844230432, 2748082340, 994392866, 3771702243, 2912535126, 2574390988, 3974009252, 78696582, 1626628844, 3980917176, 3221419689, 960695436, 729221508, 382092233, 3392407691, 472711005, 295914899, 3005191796, 514297204, 3370011868, 509135340, 1965939519, 2086465877, 3975975091, 1324152522, 762289386, 3618693997, 233730715, 455322516, 31168606, 3367142977, 2851851305, 3251660053, 3952189603, 3298190175, 901235185, 1564391510, 2352686527, 826181452, 578573310, 3462447127, 2482873876, 1790221257, 1529242773, 2335345651, 1381450613, 2866805101, 1495073163, 877718651, 3184556473, 1076378339, 2692926127, 970097715, 299344245, 4014350363, 2476927059, 1989070516, 2640060069, 3844531327, 1880989003, 3861138803, 451743296, 1987067871, 3272848161, 3397816882, 2309900530, 4108425851, 4063867233, 834288064, 2621772886, 1804684571, 2106089606, 1533056158, 304865970, 611557097, 3789871366, 4246691682, 3667072763, 2728206193, 3389551988, 2973497449, 2958641966, 2088805328, 3895037582, 2460955430, 3606967204, 952637656, 59827581, 2349212526, 3531087304, 2053994857, 563998083, 4094000396, 4028900485, 1242934125, 654565639, 1070907026, 4217851863, 1663452176, 3034416129, 278404469, 3899800390, 1063362170, 2721441405, 4258714417, 3249996223, 186674553, 2616406148, 4228837490, 639885806, 1495068058, 3033760361, 2278144523, 2820661772, 4159910300, 2602548287, 3386583150, 355354345, 1815256314, 1555885880, 2283016801, 3005955037, 3340254490, 2166514144, 2948774612, 3705188626, 1252262272, 3989036796, 751187322, 2107826711, 1447170583, 3373930285, 2895037457, 2809311944, 3763367196, 3712392731, 685796521, 1322920440, 936300677, 1986168339, 434430265, 2650681935, 1371566728, 1308015359, 1423189187, 3498513198, 792571900, 1447808772, 3065349526, 315969823, 1105434360, 1484146625, 3327194068, 1038676789, 3336228275, 1425844616, 2871928454, 1124633561, 2956422231, 1762052458, 1610235673, 2844230432, 2748082340, 3603862093, 3771702243, 2912535126, 2574390988, 3974009252, 1691332448, 1626628844, 3980917176, 3221419689, 960695436, 3120142427, 382092233, 3392407691, 472711005, 295914899, 4101686983, 514297204, 3370011868, 509135340, 1965939519, 3015736706, 3975975091, 1324152522, 762289386, 3618693997, 2395097989, 455322516, 31168606, 3367142977, 2851851305, 30511955, 3952189603, 3298190175, 901235185, 1564391510, 2606298633, 826181452, 578573310, 3462447127, 2482873876, 4159642946, 1529242773, 2335345651, 1381450613, 2866805101, 1782913669, 877718651, 3184556473, 1076378339, 2692926127, 1730328819, 299344245, 4014350363, 2476927059, 1989070516, 1425685614, 3844531327, 1880989003, 3861138803, 451743296, 889237383, 3272848161, 3397816882, 2309900530, 4108425851, 1155723231, 834288064, 2621772886, 1804684571, 2106089606, 2387009004, 304865970, 611557097, 3789871366, 4246691682, 1405709661, 2728206193, 3389551988, 2973497449, 2958641966, 3183906006, 3895037582, 2460955430, 3606967204, 952637656, 1345432763, 2349212526, 3531087304, 2053994857, 563998083, 3749011414, 4028900485, 1242934125, 654565639, 1070907026, 1072342672, 1663452176, 3034416129, 278404469, 3899800390, 3566652188, 2721441405, 4258714417, 3249996223, 186674553, 4001263143, 4228837490, 639885806, 1495068058, 3033760361, 4278332644, 2820661772, 4159910300, 2602548287, 3386583150, 838831089, 1815256314, 1555885880, 2283016801, 3005955037, 3377397178, 2166514144, 2948774612, 3705188626, 1252262272, 2414422575, 751187322, 2107826711, 1447170583, 3373930285, 1253755033, 2809311944, 3763367196, 3712392731, 685796521, 3238624475, 936300677, 1986168339, 434430265, 2650681935, 1642290570, 1308015359, 1423189187, 3498513198, 792571900, 173318140, 3065349526, 315969823, 1105434360, 1484146625, 4103797777, 1038676789, 3336228275, 1425844616, 2871928454, 1797745765, 2956422231, 1762052458, 1610235673, 2844230432, 2180656608, 3603862093, 3771702243, 2912535126, 2574390988, 1183098390, 1691332448, 1626628844, 3980917176, 3221419689, 2645203959, 3120142427, 382092233, 3392407691, 472711005, 1659659070, 4101686983, 514297204, 3370011868, 509135340, 483888155, 3015736706, 3975975091, 1324152522, 762289386, 1259948064, 2395097989, 455322516, 31168606, 3367142977, 339990414, 30511955, 3952189603, 3298190175, 901235185, 3097920065, 2606298633, 826181452, 578573310, 3462447127, 1548039839, 4159642946, 1529242773, 2335345651, 1381450613, 2173079994, 1782913669, 877718651, 3184556473, 1076378339, 1570275057, 1730328819, 299344245, 4014350363, 2476927059, 1845882881, 1425685614, 3844531327, 1880989003, 3861138803, 1322409081, 889237383, 3272848161, 3397816882, 2309900530, 3505447982, 3430136873, 1319796589, 4202423979, 3184732284, 2910356648, 2534615223, 3854465731, 768821792, 2205052576, 1348983754, 1300250188, 2919181738, 2520178732, 3967243685, 2646012002, 1784678658, 741302051, 3464753547, 194213376, 1482799064, 3009673860, 680824208, 741966796, 2381283369, 3022877171, 1619439814, 3961433610, 1331297670, 1100110820, 1311672539, 1122110615, 4056004850, 3413790176, 3148768822, 1242592694, 2925975727, 1879285134, 334328879, 1318235222, 3140739559, 401691770, 3604288404, 3686496908, 770670945, 199139043, 2092710473, 3914528993, 700991333, 2375775811, 858137308, 3490050165, 2389078291, 1615607459, 3027969809, 820012549, 2085659484, 2654485136, 2630408646, 196481396, 1119673274, 1026209692, 726501622, 2940737143, 3559571163, 2288027726, 1039212708, 929664536, 1061981465, 186058675, 3537656152, 844176796, 2996217992, 1545798611, 3031020656, 2248030435, 1665857580, 2905758082, 1269201312, 3031275084, 4034872841, 983632400, 4188503190, 757119675, 2105920865, 4281032819, 2917801076, 3900010013, 3910997169, 1729751422, 562313247, 3070846353, 2564238664, 4050540186, 4258833501, 2270666053, 2207128401, 2990540001, 797768898, 2288390225, 3230323685, 1974727440, 3327301426, 289857826, 3565889868, 2791014422, 2021097820, 3350378271, 3673707591, 2610067927, 4255789547, 2682856590, 12563128, 1397542366, 237149400, 2233707508, 3875573245, 2097374144, 175320773, 4103445984, 4089284323, 3610168130, 3084915964, 680145366, 2571684685, 1132894909, 104640024, 193765521, 2338202907, 895271448, 11499099, 1798066417, 1297412626, 2511347162, 3140535007, 2129963538, 700683199, 2609700278, 2953463279, 2290844145, 1871316353, 3993801787, 2219413182, 2954453701, 231283580, 1375331115, 207723994, 1799562537, 2056553564, 2513609799, 3542459627, 3173012714, 3923404932, 217877755, 2095124912, 192024370, 1168134987, 1889598668, 3014873069, 2033573343, }, { 3465348660, 3623545008, 3505902593, 838034830, 1338018789, 2595329276, 3367746385, 3197935201, 1439351946, 3585085571, 4165798087, 3634792639, 2359485974, 2772582925, 1110186203, 3771562484, 1508694157, 1564641206, 2801985736, 2446107936, 3849126897, 1842973671, 944408104, 2624631280, 2729080685, 3737368614, 858809173, 2289802345, 2428186575, 3114742765, 716011303, 3443810690, 814132610, 517432787, 614445393, 2930433345, 291178098, 2117644502, 2749446703, 311745701, 365684723, 1705418876, 2213749318, 4011417220, 1842575651, 988348831, 94258998, 2771150272, 498058526, 1344827813, 2961955291, 262703473, 1404034822, 1566595865, 2522381203, 1706522206, 1203054806, 1273801539, 2070583465, 3913449936, 3231505231, 619636751, 3746997351, 4103027837, 1205468203, 3355878253, 3433356888, 107785753, 2779092609, 1869691566, 2555219983, 903319808, 3273374169, 2538926990, 979533870, 1356500860, 1661983738, 1380761625, 2919458459, 1041142798, 1430817627, 517007606, 1421570516, 2371447300, 2985632691, 3684889351, 3873926653, 788770697, 1854750277, 209332297, 1137299679, 848527832, 3850486924, 4179307312, 2764470693, 1353191605, 4166891919, 2074703841, 3373997532, 2013528640, 701389744, 841917592, 2065742268, 2721848192, 2566956680, 3122896007, 1090761479, 921859028, 4086736376, 1837462309, 2579826431, 2436217134, 839037727, 1072086642, 614518622, 3764758228, 1501128342, 3669108708, 1601407381, 2899014005, 3268308948, 3337564231, 1986911578, 3379194930, 1950365753, 2098537451, 51515980, 1176526086, 3213391582, 1059745735, 2273586703, 376085505, 1493749800, 3970342143, 1620925244, 2165301314, 2332030190, 1864098798, 276747442, 2776569227, 2992780663, 3027279789, 1074555384, 3481518659, 2499703783, 661805703, 3782305562, 9186074, 2357407210, 2355922343, 2024733363, 485434612, 862379913, 1029706268, 1512726310, 3834948354, 1435892840, 3297980694, 2831553800, 2111416471, 711321697, 3465348660, 3623545008, 3505902593, 838034830, 1553436793, 2595329276, 3367746385, 3197935201, 1439351946, 3198044157, 4165798087, 3634792639, 2359485974, 2772582925, 836042976, 3771562484, 1508694157, 1564641206, 2801985736, 1190371491, 3849126897, 1842973671, 944408104, 2624631280, 410746791, 3737368614, 858809173, 2289802345, 2428186575, 1542325976, 716011303, 3443810690, 814132610, 517432787, 1649301063, 2930433345, 291178098, 2117644502, 2749446703, 3955511579, 365684723, 1705418876, 2213749318, 4011417220, 2753632862, 988348831, 94258998, 2771150272, 498058526, 3314106168, 2961955291, 262703473, 1404034822, 1566595865, 3590367097, 1706522206, 1203054806, 1273801539, 2070583465, 2340683261, 3231505231, 619636751, 3746997351, 4103027837, 2785398766, 3355878253, 3433356888, 107785753, 2779092609, 1608451840, 2555219983, 903319808, 3273374169, 2538926990, 645164419, 1356500860, 1661983738, 1380761625, 2919458459, 2260224548, 1430817627, 517007606, 1421570516, 2371447300, 1636004496, 3684889351, 3873926653, 788770697, 1854750277, 1345251011, 1137299679, 848527832, 3850486924, 4179307312, 3576574608, 1353191605, 4166891919, 2074703841, 3373997532, 183447754, 701389744, 841917592, 2065742268, 2721848192, 2109289891, 3122896007, 1090761479, 921859028, 4086736376, 2212730874, 2579826431, 2436217134, 839037727, 1072086642, 55934784, 3764758228, 1501128342, 3669108708, 1601407381, 516550987, 3268308948, 3337564231, 1986911578, 3379194930, 3973484473, 2098537451, 51515980, 1176526086, 3213391582, 4251661633, 2273586703, 376085505, 1493749800, 3970342143, 3190791788, 2165301314, 2332030190, 1864098798, 276747442, 2991976613, 2992780663, 3027279789, 1074555384, 3481518659, 1399789494, 661805703, 3782305562, 9186074, 2357407210, 1942736967, 2024733363, 485434612, 862379913, 1029706268, 4122704494, 3834948354, 1435892840, 3297980694, 2831553800, 1210092654, 711321697, 3465348660, 3623545008, 3505902593, 3443231198, 1553436793, 2595329276, 3367746385, 3197935201, 1304974987, 3198044157, 4165798087, 3634792639, 2359485974, 3518323362, 836042976, 3771562484, 1508694157, 1564641206, 3577633375, 1190371491, 3849126897, 1842973671, 944408104, 1854555112, 410746791, 3737368614, 858809173, 2289802345, 3622671731, 1542325976, 716011303, 3443810690, 814132610, 296197011, 1649301063, 2930433345, 291178098, 2117644502, 1056271538, 3955511579, 365684723, 1705418876, 2213749318, 1258535671, 2753632862, 988348831, 94258998, 2771150272, 3669902097, 3314106168, 2961955291, 262703473, 1404034822, 1654433938, 3590367097, 1706522206, 1203054806, 1273801539, 2448138887, 2340683261, 3231505231, 619636751, 3746997351, 1454088394, 2785398766, 3355878253, 3433356888, 107785753, 689323470, 1608451840, 2555219983, 903319808, 3273374169, 1603842392, 645164419, 1356500860, 1661983738, 1380761625, 2814639423, 2260224548, 1430817627, 517007606, 1421570516, 1938805701, 1636004496, 3684889351, 3873926653, 788770697, 4238900666, 1345251011, 1137299679, 848527832, 3850486924, 108793827, 3576574608, 1353191605, 4166891919, 2074703841, 3780897861, 183447754, 701389744, 841917592, 2065742268, 3036602746, 2109289891, 3122896007, 1090761479, 921859028, 3499985398, 2212730874, 2579826431, 2436217134, 839037727, 3520354700, 55934784, 3764758228, 1501128342, 3669108708, 1601010847, 516550987, 3268308948, 3337564231, 1986911578, 2704241781, 3973484473, 2098537451, 51515980, 1176526086, 3602010532, 4251661633, 2273586703, 376085505, 1493749800, 2922957328, 3190791788, 2165301314, 2332030190, 1864098798, 1649666443, 2991976613, 2992780663, 3027279789, 1074555384, 2848531519, 1399789494, 661805703, 3782305562, 9186074, 320781315, 1942736967, 2024733363, 485434612, 862379913, 3598892066, 4122704494, 3834948354, 1435892840, 3297980694, 545184652, 1210092654, 711321697, 3465348660, 3623545008, 1173753045, 3443231198, 1553436793, 2595329276, 3367746385, 2444634476, 1304974987, 3198044157, 4165798087, 3634792639, 1837035806, 3518323362, 836042976, 3771562484, 1508694157, 2899021294, 3577633375, 1190371491, 3849126897, 1842973671, 1614215215, 1854555112, 410746791, 3737368614, 858809173, 525745365, 3622671731, 1542325976, 716011303, 3443810690, 566299749, 296197011, 1649301063, 2930433345, 291178098, 1987532525, 1056271538, 3955511579, 365684723, 1705418876, 2321222760, 1258535671, 2753632862, 988348831, 94258998, 2986060366, 3669902097, 3314106168, 2961955291, 262703473, 604452796, 1654433938, 3590367097, 1706522206, 1203054806, 1894894069, 2448138887, 2340683261, 3231505231, 619636751, 6680729, 1454088394, 2785398766, 3355878253, 3433356888, 2025591660, 689323470, 1608451840, 2555219983, 903319808, 3430384385, 1603842392, 645164419, 1356500860, 1661983738, 2108736152, 2814639423, 2260224548, 1430817627, 517007606, 2973658959, 1938805701, 1636004496, 3684889351, 3873926653, 2283691941, 4238900666, 1345251011, 1137299679, 848527832, 45551112, 108793827, 3576574608, 1353191605, 4166891919, 3776615962, 3780897861, 183447754, 701389744, 841917592, 3830639316, 3036602746, 2109289891, 3122896007, 1090761479, 1931255897, 3499985398, 2212730874, 2579826431, 2436217134, 3272166055, 3520354700, 55934784, 3764758228, 1501128342, 1567864246, 1601010847, 516550987, 3268308948, 3337564231, 3918802424, 2704241781, 3973484473, 2098537451, 51515980, 3551394489, 3602010532, 4251661633, 2273586703, 376085505, 885459498, 2922957328, 3190791788, 2165301314, 2332030190, 3197056515, 1649666443, 2991976613, 2992780663, 3027279789, 2385348906, 2848531519, 1399789494, 661805703, 3782305562, 2163075465, 320781315, 1942736967, 2024733363, 485434612, 2680597981, 3598892066, 4122704494, 3834948354, 1435892840, 2499644163, 2704575422, 2579557838, 673530532, 493730767, 1124557747, 1908629439, 2821949504, 1743112513, 2849457841, 2344409314, 3479159262, 4260973770, 2991970754, 3812641863, 2229319917, 2466968521, 1766353737, 3216591612, 2113272648, 364370737, 1893001758, 2608875275, 4224057183, 3546705413, 1999778009, 348872225, 2470564216, 1417878284, 2709790112, 3579129936, 2137971615, 4046639861, 2841156930, 391544737, 2056567354, 737657378, 3877904725, 578930752, 1759172471, 3383278785, 1047197514, 649468151, 3452867243, 1792089520, 63936215, 3909143729, 3753489875, 734314122, 2490530916, 3043874586, 1504812057, 59001199, 2493748676, 2552438622, 1889694845, 3715397860, 2817245010, 3841049206, 816106718, 2176130406, 640254735, 12376903, 3000264936, 3304116079, 1620334094, 2109391765, 1348210951, 2237645681, 1207768272, 1562894669, 2156631655, 1387193235, 3154858817, 633510901, 2312190757, 402878244, 2501565021, 2984409334, 4167491216, 3614267292, 3078552271, 971722322, 3065543880, 2307584190, 491480322, 2068673112, 1929780632, 178549964, 983979983, 2769314886, 4214442042, 2977609682, 25450683, 3075212658, 1571149568, 3531670561, 42782504, 425601306, 428715214, 497250251, 693520802, 166426814, 1786382125, 2712003995, 3610802197, 2076490757, 404822980, 3953184772, 1655231947, 3594351577, 3068232274, 3771730346, 4110519574, 3534704897, 2375277865, 3597780202, 3472676002, 1350276449, 3218248239, 3589255283, 3253132633, 1769885529, 3792812294, 120332643, 1219374788, 3608889019, 2386099811, 858495304, 1284785543, 331370962, 2259419662, 2519864134, 3194739432, 2669074511, 2565559140, 3378072004, 2647801475, 265068954, 1464416963, 1232787612, 4160089759, 2510685972, 670300081, 2509357766, 1981891975, 4161588397, 1371924626, 44760868, 634955171, 1187096933, 3324788972, 3576888559, 2801347752, 3730298395, 1702170762, 4206083415, 741409141, 3649731355, 1025429529, }, { 91444490, 628576944, 4069219862, 2253058925, 492354082, 1191182242, 1565180119, 2257613723, 456055162, 605712223, 953365104, 3104638527, 1133984729, 2662828416, 2134948274, 1921384447, 843719355, 588432962, 1734575434, 2924140067, 483396548, 3848838894, 3155476556, 1760928304, 4168059840, 3279827269, 2644461735, 4168565656, 3951563569, 1276805504, 1708974143, 1878547888, 3465220024, 3062086782, 2801401651, 1510428126, 716404149, 1646021208, 3534932385, 1186585561, 651997355, 282914223, 352224857, 3764407517, 1059868753, 1971798134, 978904005, 976413661, 4039544152, 498989693, 2565125471, 2782642813, 3537961025, 1194967362, 169217024, 3491609, 1319592872, 1630206561, 2497130840, 1685008996, 2828944016, 3301346775, 2893072371, 2606559798, 4026138031, 2664450619, 691091062, 1079640113, 1417637732, 4081852209, 2197910648, 2310382370, 1000957047, 959936499, 2844551811, 2272766890, 31122394, 2742925483, 1121884686, 57929089, 2468361281, 2982007782, 2371576893, 177782593, 3603584577, 672057044, 2108452841, 1671338057, 3386908223, 1243029765, 805157552, 1271858417, 1621249501, 1804851492, 1321010403, 751773221, 1517221627, 822709871, 104533154, 3578182264, 640541709, 421086624, 4233576392, 3729339369, 197460644, 773140636, 2158026018, 1756785611, 4011575991, 3569445500, 736117181, 2456162322, 1168189787, 3651312675, 1070291988, 268231205, 541474497, 3316168972, 3546990856, 830417208, 725960194, 2044207227, 3188997938, 2383298579, 3350316374, 3575011225, 1553111865, 1285013027, 749371711, 766611716, 598195098, 2139882719, 2062405428, 3634702446, 3015263295, 223311969, 2622859522, 3888492701, 2955257225, 582625650, 3563756446, 2886083960, 1907546514, 454650902, 3287277541, 625828138, 2991888140, 1935326370, 4031152256, 702881509, 1427632724, 1345475301, 2577560804, 2858595147, 2533191188, 185662179, 536505093, 3747894147, 111551030, 370373207, 2293908590, 91444490, 628576944, 4069219862, 2253058925, 1671484924, 1191182242, 1565180119, 2257613723, 456055162, 3411094744, 953365104, 3104638527, 1133984729, 2662828416, 2000630022, 1921384447, 843719355, 588432962, 1734575434, 3293926122, 483396548, 3848838894, 3155476556, 1760928304, 146876953, 3279827269, 2644461735, 4168565656, 3951563569, 3976156700, 1708974143, 1878547888, 3465220024, 3062086782, 1999154400, 1510428126, 716404149, 1646021208, 3534932385, 2479551429, 651997355, 282914223, 352224857, 3764407517, 1275979651, 1971798134, 978904005, 976413661, 4039544152, 300654823, 2565125471, 2782642813, 3537961025, 1194967362, 3123973648, 3491609, 1319592872, 1630206561, 2497130840, 1437913158, 2828944016, 3301346775, 2893072371, 2606559798, 2153172585, 2664450619, 691091062, 1079640113, 1417637732, 17137237, 2197910648, 2310382370, 1000957047, 959936499, 802137134, 2272766890, 31122394, 2742925483, 1121884686, 3909775167, 2468361281, 2982007782, 2371576893, 177782593, 3319492525, 672057044, 2108452841, 1671338057, 3386908223, 1878151473, 805157552, 1271858417, 1621249501, 1804851492, 3215921223, 751773221, 1517221627, 822709871, 104533154, 361845001, 640541709, 421086624, 4233576392, 3729339369, 2655936801, 773140636, 2158026018, 1756785611, 4011575991, 587202971, 736117181, 2456162322, 1168189787, 3651312675, 2517883370, 268231205, 541474497, 3316168972, 3546990856, 2037251305, 725960194, 2044207227, 3188997938, 2383298579, 2665008587, 3575011225, 1553111865, 1285013027, 749371711, 2163964019, 598195098, 2139882719, 2062405428, 3634702446, 2788202059, 223311969, 2622859522, 3888492701, 2955257225, 740986174, 3563756446, 2886083960, 1907546514, 454650902, 2426323587, 625828138, 2991888140, 1935326370, 4031152256, 1831149435, 1427632724, 1345475301, 2577560804, 2858595147, 3977153945, 185662179, 536505093, 3747894147, 111551030, 4131587422, 2293908590, 91444490, 628576944, 4069219862, 2408189350, 1671484924, 1191182242, 1565180119, 2257613723, 1338069254, 3411094744, 953365104, 3104638527, 1133984729, 631497759, 2000630022, 1921384447, 843719355, 588432962, 3280318959, 3293926122, 483396548, 3848838894, 3155476556, 1777918163, 146876953, 3279827269, 2644461735, 4168565656, 2786264663, 3976156700, 1708974143, 1878547888, 3465220024, 2793923820, 1999154400, 1510428126, 716404149, 1646021208, 3102243824, 2479551429, 651997355, 282914223, 352224857, 3767702588, 1275979651, 1971798134, 978904005, 976413661, 1951622548, 300654823, 2565125471, 2782642813, 3537961025, 2186817324, 3123973648, 3491609, 1319592872, 1630206561, 1075424534, 1437913158, 2828944016, 3301346775, 2893072371, 207992406, 2153172585, 2664450619, 691091062, 1079640113, 3114255216, 17137237, 2197910648, 2310382370, 1000957047, 2548008553, 802137134, 2272766890, 31122394, 2742925483, 4069482373, 3909775167, 2468361281, 2982007782, 2371576893, 2807823912, 3319492525, 672057044, 2108452841, 1671338057, 12831353, 1878151473, 805157552, 1271858417, 1621249501, 461887094, 3215921223, 751773221, 1517221627, 822709871, 1317394918, 361845001, 640541709, 421086624, 4233576392, 3385587450, 2655936801, 773140636, 2158026018, 1756785611, 1475601973, 587202971, 736117181, 2456162322, 1168189787, 911455077, 2517883370, 268231205, 541474497, 3316168972, 1500275507, 2037251305, 725960194, 2044207227, 3188997938, 2036633808, 2665008587, 3575011225, 1553111865, 1285013027, 87868216, 2163964019, 598195098, 2139882719, 2062405428, 517907301, 2788202059, 223311969, 2622859522, 3888492701, 3926046234, 740986174, 3563756446, 2886083960, 1907546514, 1911066215, 2426323587, 625828138, 2991888140, 1935326370, 2031853435, 1831149435, 1427632724, 1345475301, 2577560804, 3509674153, 3977153945, 185662179, 536505093, 3747894147, 1711714600, 4131587422, 2293908590, 91444490, 628576944, 3370678255, 2408189350, 1671484924, 1191182242, 1565180119, 3786239592, 1338069254, 3411094744, 953365104, 3104638527, 3659647225, 631497759, 2000630022, 1921384447, 843719355, 3364831282, 3280318959, 3293926122, 483396548, 3848838894, 3131266478, 1777918163, 146876953, 3279827269, 2644461735, 4156372383, 2786264663, 3976156700, 1708974143, 1878547888, 2168041590, 2793923820, 1999154400, 1510428126, 716404149, 3392113666, 3102243824, 2479551429, 651997355, 282914223, 2085613514, 3767702588, 1275979651, 1971798134, 978904005, 503506384, 1951622548, 300654823, 2565125471, 2782642813, 1458431750, 2186817324, 3123973648, 3491609, 1319592872, 452433679, 1075424534, 1437913158, 2828944016, 3301346775, 2333281307, 207992406, 2153172585, 2664450619, 691091062, 3553502652, 3114255216, 17137237, 2197910648, 2310382370, 3153689868, 2548008553, 802137134, 2272766890, 31122394, 468580641, 4069482373, 3909775167, 2468361281, 2982007782, 1445286890, 2807823912, 3319492525, 672057044, 2108452841, 1755577669, 12831353, 1878151473, 805157552, 1271858417, 2623540912, 461887094, 3215921223, 751773221, 1517221627, 3922191946, 1317394918, 361845001, 640541709, 421086624, 2173849516, 3385587450, 2655936801, 773140636, 2158026018, 1085377158, 1475601973, 587202971, 736117181, 2456162322, 2158960374, 911455077, 2517883370, 268231205, 541474497, 943191315, 1500275507, 2037251305, 725960194, 2044207227, 2481150802, 2036633808, 2665008587, 3575011225, 1553111865, 2301231777, 87868216, 2163964019, 598195098, 2139882719, 2007840238, 517907301, 2788202059, 223311969, 2622859522, 151920263, 3926046234, 740986174, 3563756446, 2886083960, 1338937928, 1911066215, 2426323587, 625828138, 2991888140, 2652286195, 2031853435, 1831149435, 1427632724, 1345475301, 289801789, 3509674153, 3977153945, 185662179, 536505093, 2727322952, 3980498348, 2529622213, 1903052964, 3564714651, 2281240568, 533384122, 277613480, 1815540358, 282763841, 3669112623, 2572859425, 195220178, 1210883545, 2359703600, 1187537824, 675732974, 325036095, 708091465, 2556854604, 701006284, 2378459191, 1863513103, 2690918197, 4237307694, 1356483501, 2160905652, 521809106, 974368613, 3136010957, 2722488678, 3711515637, 2296341459, 4233729945, 1196247571, 3031398071, 515543502, 1314129776, 3235373306, 1303165859, 1820568009, 559099351, 186876368, 1076102111, 1218809551, 1790301111, 4130210229, 768125358, 1132864749, 4262563773, 2294411020, 4092943985, 2558108246, 3737664949, 2219923393, 724326159, 4134105682, 4188752746, 3615233671, 1526018731, 2281637916, 2459490295, 3637342666, 777862587, 39962002, 3772005832, 997473319, 574843584, 3356551974, 1265234427, 1698059437, 534747571, 1465532164, 3263029035, 534512444, 2343092827, 2375685652, 2497926141, 2377933621, 2212335180, 261114084, 172755755, 2737085495, 2225257145, 148605658, 1353911796, 357753009, 1778732943, 497635558, 4136467976, 2837964962, 4045039047, 2485296762, 1587587183, 4042904168, 3184240963, 2393293696, 915444966, 2299938515, 3351580749, 506575598, 1541916825, 3465300401, 525927458, 681152801, 331660975, 3624685846, 2994172100, 3274369082, 3638287602, 815689760, 1710961092, 2775607076, 2175058103, 3252688367, 2936890483, 2746319120, 2736754, 1646031035, 2448701214, 2886833213, 3689830606, 3292798106, 300773646, 3125160783, 1247453205, 2746275624, 4011063775, 904135764, 876847374, 366267234, 2541269205, 131376648, 1805948133, 3383589530, 2350119829, 2513170439, 4096158499, 4229211520, 2992048272, 1338522080, 1187391335, 2898563453, 2163088451, 1417971677, 2047421551, 902282791, 1143943232, 3568431811, 4059861993, 193362198, 2509297125, 3968551582, 2175686117, 3568936881, 1853177468, 2134063169, 2919389416, 1124914545, 1209806738, }, { 1199972651, 1035834631, 3177798370, 860834162, 3741677748, 3780327829, 1693730265, 1643429511, 559568669, 2758650294, 647308222, 3901603996, 1778653821, 3618523672, 2154201067, 4261179460, 3285764480, 3334002738, 3215795953, 91368462, 1883994950, 1506873376, 1527780962, 4046354597, 4081676034, 2389066602, 1574939945, 427845396, 2714836263, 1259019491, 2493238133, 2584034689, 3151382431, 2171033919, 176883719, 2031844862, 1272380790, 1298975901, 4087222847, 1524000054, 311436877, 3627785554, 1889491722, 2938069193, 2771940687, 2756955968, 4289348777, 263514583, 887207028, 3522902525, 2273246349, 835377715, 2897243319, 204645450, 1775911983, 639470242, 2856296318, 3032942383, 2845501282, 1979082575, 202834023, 1876303820, 1434703409, 4240524132, 848853780, 4188621628, 928095314, 876412914, 3446576392, 3235688990, 4021419931, 2483628986, 3155781890, 399997246, 1642535200, 3872575068, 1577956550, 3606228634, 609914462, 653194726, 4048067248, 2500767965, 1125167825, 3707628088, 1819135158, 1875618971, 3865851141, 328215079, 1695889194, 2040280471, 3384684457, 2540504961, 293050253, 525570078, 2655676443, 1392199429, 3370444585, 1937915855, 2229636250, 247937142, 2534538765, 365841057, 2449431033, 2456532429, 101910696, 1247069485, 1523958293, 2473285670, 473709728, 3026667113, 2071968844, 324025193, 423064436, 3870800061, 3977393138, 3632553233, 352757977, 1584833348, 3173248650, 1159857686, 1501841977, 1751860798, 617281070, 1958012761, 4031667102, 3232142321, 3087428595, 2380824676, 1194087757, 1542961747, 4163350364, 1721646249, 1672791861, 2900511710, 24973500, 1705444176, 713642505, 3017719513, 2090715200, 3521434070, 37117223, 1948295454, 3055840561, 3476120789, 3994249388, 527899063, 4285770666, 1075524023, 2594223535, 392943522, 171012646, 3515750082, 3414659054, 3501852926, 1493283737, 2662104279, 2033464928, 90134967, 363058647, 3289266998, 2470752727, 1199972651, 1035834631, 3177798370, 860834162, 1791097822, 3780327829, 1693730265, 1643429511, 559568669, 3503319486, 647308222, 3901603996, 1778653821, 3618523672, 4294594427, 4261179460, 3285764480, 3334002738, 3215795953, 212518363, 1883994950, 1506873376, 1527780962, 4046354597, 2398655600, 2389066602, 1574939945, 427845396, 2714836263, 2744363872, 2493238133, 2584034689, 3151382431, 2171033919, 2787053497, 2031844862, 1272380790, 1298975901, 4087222847, 2342953154, 311436877, 3627785554, 1889491722, 2938069193, 2026656505, 2756955968, 4289348777, 263514583, 887207028, 2097276163, 2273246349, 835377715, 2897243319, 204645450, 4233399907, 639470242, 2856296318, 3032942383, 2845501282, 28260330, 202834023, 1876303820, 1434703409, 4240524132, 2455670466, 4188621628, 928095314, 876412914, 3446576392, 117581687, 4021419931, 2483628986, 3155781890, 399997246, 4254101087, 3872575068, 1577956550, 3606228634, 609914462, 4003279048, 4048067248, 2500767965, 1125167825, 3707628088, 922020515, 1875618971, 3865851141, 328215079, 1695889194, 625773097, 3384684457, 2540504961, 293050253, 525570078, 2592805114, 1392199429, 3370444585, 1937915855, 2229636250, 3190958614, 2534538765, 365841057, 2449431033, 2456532429, 3778669305, 1247069485, 1523958293, 2473285670, 473709728, 720895889, 2071968844, 324025193, 423064436, 3870800061, 3535536111, 3632553233, 352757977, 1584833348, 3173248650, 2649344603, 1501841977, 1751860798, 617281070, 1958012761, 778965559, 3232142321, 3087428595, 2380824676, 1194087757, 3880222002, 4163350364, 1721646249, 1672791861, 2900511710, 702936770, 1705444176, 713642505, 3017719513, 2090715200, 1477858694, 37117223, 1948295454, 3055840561, 3476120789, 464173532, 527899063, 4285770666, 1075524023, 2594223535, 2872629966, 171012646, 3515750082, 3414659054, 3501852926, 1631555059, 2662104279, 2033464928, 90134967, 363058647, 4112991722, 2470752727, 1199972651, 1035834631, 3177798370, 4152098951, 1791097822, 3780327829, 1693730265, 1643429511, 153020604, 3503319486, 647308222, 3901603996, 1778653821, 221887019, 4294594427, 4261179460, 3285764480, 3334002738, 3340918862, 212518363, 1883994950, 1506873376, 1527780962, 430180116, 2398655600, 2389066602, 1574939945, 427845396, 1683639957, 2744363872, 2493238133, 2584034689, 3151382431, 752704472, 2787053497, 2031844862, 1272380790, 1298975901, 1528220628, 2342953154, 311436877, 3627785554, 1889491722, 2576495467, 2026656505, 2756955968, 4289348777, 263514583, 3778019638, 2097276163, 2273246349, 835377715, 2897243319, 1060067446, 4233399907, 639470242, 2856296318, 3032942383, 2351047932, 28260330, 202834023, 1876303820, 1434703409, 3094305336, 2455670466, 4188621628, 928095314, 876412914, 3785385583, 117581687, 4021419931, 2483628986, 3155781890, 1867816730, 4254101087, 3872575068, 1577956550, 3606228634, 3081878598, 4003279048, 4048067248, 2500767965, 1125167825, 928465955, 922020515, 1875618971, 3865851141, 328215079, 173810260, 625773097, 3384684457, 2540504961, 293050253, 2645143254, 2592805114, 1392199429, 3370444585, 1937915855, 162781360, 3190958614, 2534538765, 365841057, 2449431033, 3105377832, 3778669305, 1247069485, 1523958293, 2473285670, 800971948, 720895889, 2071968844, 324025193, 423064436, 52577992, 3535536111, 3632553233, 352757977, 1584833348, 3305908059, 2649344603, 1501841977, 1751860798, 617281070, 264880505, 778965559, 3232142321, 3087428595, 2380824676, 1127761012, 3880222002, 4163350364, 1721646249, 1672791861, 2368512339, 702936770, 1705444176, 713642505, 3017719513, 197200752, 1477858694, 37117223, 1948295454, 3055840561, 1588372042, 464173532, 527899063, 4285770666, 1075524023, 2124039914, 2872629966, 171012646, 3515750082, 3414659054, 818571456, 1631555059, 2662104279, 2033464928, 90134967, 952712086, 4112991722, 2470752727, 1199972651, 1035834631, 888975816, 4152098951, 1791097822, 3780327829, 1693730265, 3406785510, 153020604, 3503319486, 647308222, 3901603996, 3753248472, 221887019, 4294594427, 4261179460, 3285764480, 1861431346, 3340918862, 212518363, 1883994950, 1506873376, 2695939612, 430180116, 2398655600, 2389066602, 1574939945, 2852159074, 1683639957, 2744363872, 2493238133, 2584034689, 1952065633, 752704472, 2787053497, 2031844862, 1272380790, 3530505866, 1528220628, 2342953154, 311436877, 3627785554, 3410473245, 2576495467, 2026656505, 2756955968, 4289348777, 2856163034, 3778019638, 2097276163, 2273246349, 835377715, 3127280755, 1060067446, 4233399907, 639470242, 2856296318, 2615775011, 2351047932, 28260330, 202834023, 1876303820, 619308202, 3094305336, 2455670466, 4188621628, 928095314, 3764894047, 3785385583, 117581687, 4021419931, 2483628986, 3759839215, 1867816730, 4254101087, 3872575068, 1577956550, 1687107439, 3081878598, 4003279048, 4048067248, 2500767965, 2804044146, 928465955, 922020515, 1875618971, 3865851141, 2359176389, 173810260, 625773097, 3384684457, 2540504961, 3665420733, 2645143254, 2592805114, 1392199429, 3370444585, 1604709429, 162781360, 3190958614, 2534538765, 365841057, 3843585067, 3105377832, 3778669305, 1247069485, 1523958293, 293374051, 800971948, 720895889, 2071968844, 324025193, 3342361801, 52577992, 3535536111, 3632553233, 352757977, 1386594581, 3305908059, 2649344603, 1501841977, 1751860798, 3160423601, 264880505, 778965559, 3232142321, 3087428595, 3814775120, 1127761012, 3880222002, 4163350364, 1721646249, 3640773034, 2368512339, 702936770, 1705444176, 713642505, 1717761787, 197200752, 1477858694, 37117223, 1948295454, 896215772, 1588372042, 464173532, 527899063, 4285770666, 3441409029, 2124039914, 2872629966, 171012646, 3515750082, 2216687886, 818571456, 1631555059, 2662104279, 2033464928, 369438400, 329003658, 1503365029, 4215790910, 3264377550, 733526983, 2935318632, 1792331479, 608347530, 392723097, 1330445854, 3473004271, 1267636682, 2150566972, 2664910943, 2591861637, 409769584, 2943326880, 3746302819, 3162268832, 1028663260, 3206607045, 832105292, 2119405275, 538318455, 2981192295, 861775416, 609718403, 3531204230, 1904759571, 1262633751, 2375133081, 460454984, 946700253, 3763898311, 1571175213, 3124410107, 2413420216, 2664177543, 3241803820, 3968067371, 1234860999, 1130471500, 772727786, 247203117, 576455235, 246297007, 2027348597, 764933887, 3812479771, 1825807084, 4072281412, 2156865781, 1286484847, 1966749063, 2479269303, 423506843, 3070938758, 653091413, 2267423132, 2004263526, 1374490719, 3871990628, 841138314, 1260317857, 3887432433, 4025147569, 764233331, 1794763428, 3005903468, 877926770, 2466593927, 2971729561, 3203070565, 4198500026, 815665759, 2434508139, 1840456368, 2279000427, 17077200, 3178380570, 990304199, 3578008580, 1965763660, 1640352477, 750159594, 2047409402, 3576308245, 544920564, 1730124869, 1194761386, 3280315505, 147334027, 2870674244, 2076860776, 1100947675, 2482772161, 401966468, 1610650855, 193868446, 3808157106, 1509130117, 1324484736, 3852893217, 1059179497, 4053543778, 2557844172, 3282312002, 682550058, 4281899173, 137171998, 3239159214, 2258610918, 426724741, 3502660993, 135977383, 429929363, 3984458137, 964026748, 2182019070, 3836562946, 515026869, 359030455, 1301694917, 2300414803, 2364654981, 3804876710, 171119249, 2646785698, 4283509387, 3628087763, 1748227044, 3037141234, 3000413256, 23007314, 3598880509, 4160517314, 112205578, 1677675411, 734881643, 2830770338, 3470317145, 3306806569, 2635040943, 2671367560, 3528996498, 3878886478, 3114253828, 2721384408, 3175226991, 1393767271, 2651623266, 3767978376, 1269699398, 1100964192, 4169085845, 2086718107, 1286251099, 764751784, 3006878591, }, { 2565473087, 1149521056, 3529037691, 630435548, 73598765, 1467331930, 3988027050, 2771962200, 91261543, 980989218, 2227515435, 236831608, 2872772569, 2330469327, 1654035853, 2883791516, 4170143763, 126418114, 127789935, 2114249438, 2933346767, 639483386, 1532399845, 2182422151, 741069317, 2376371063, 3398508789, 3828295651, 3963199356, 4156483769, 4206759111, 1266176088, 3210273687, 432131993, 667709537, 874477513, 2304714957, 629309008, 116453438, 3051811727, 3490241985, 3355968243, 2304043871, 2724990029, 1095724699, 2408437363, 1433161037, 3245468546, 2494529842, 4204170637, 1966342448, 3092333073, 1861880941, 3990012367, 3710334908, 2526395471, 1884691351, 2145882162, 2561288457, 2253122309, 1154858044, 1643256991, 3172857504, 1096492713, 2848827103, 799826424, 3094672168, 3535834360, 4213256737, 1131757994, 520495112, 575315345, 3823364867, 2424349582, 3604795017, 310789314, 4207205257, 553462404, 2918228443, 2568360580, 3863565851, 874197736, 3329267685, 1186352580, 3928193054, 1780200631, 4088289456, 3323217870, 2758854947, 3111637417, 990374143, 2080149357, 4047813631, 2019887940, 578660736, 2145680301, 2328411541, 1572704242, 405739686, 1869350271, 2046317220, 4021497634, 1385163990, 1935250885, 1132987169, 581690993, 3172043012, 628071512, 2851125739, 2735324847, 2847267504, 3408334906, 3352976111, 706277272, 2971786942, 2811957324, 3578703606, 1126685543, 2671169997, 31952251, 2802110464, 2391618856, 3031260674, 1165714541, 2411388800, 2825634835, 101928462, 477629709, 4257022506, 3281706767, 2576087732, 736533968, 2543083137, 3430523686, 3272172013, 3056925798, 341993500, 406782950, 1770032304, 125786076, 1321359723, 2901696227, 1890958265, 3610842776, 1772227311, 1564088598, 914173231, 3734092059, 1652333721, 2386645282, 329706426, 1022239203, 1832393502, 4064995802, 3497852986, 1046436763, 366391010, 2237068647, 2887356463, 304718827, 3969799795, 2565473087, 1149521056, 3529037691, 630435548, 3758124054, 1467331930, 3988027050, 2771962200, 91261543, 836545831, 2227515435, 236831608, 2872772569, 2330469327, 3439193753, 2883791516, 4170143763, 126418114, 127789935, 1648940583, 2933346767, 639483386, 1532399845, 2182422151, 2470139222, 2376371063, 3398508789, 3828295651, 3963199356, 2997263135, 4206759111, 1266176088, 3210273687, 432131993, 2416600665, 874477513, 2304714957, 629309008, 116453438, 2586542760, 3490241985, 3355968243, 2304043871, 2724990029, 452934545, 2408437363, 1433161037, 3245468546, 2494529842, 2244403710, 1966342448, 3092333073, 1861880941, 3990012367, 2774994234, 2526395471, 1884691351, 2145882162, 2561288457, 2303702146, 1154858044, 1643256991, 3172857504, 1096492713, 130979316, 799826424, 3094672168, 3535834360, 4213256737, 935499492, 520495112, 575315345, 3823364867, 2424349582, 2272973265, 310789314, 4207205257, 553462404, 2918228443, 2613016888, 3863565851, 874197736, 3329267685, 1186352580, 4106984978, 1780200631, 4088289456, 3323217870, 2758854947, 1559861146, 990374143, 2080149357, 4047813631, 2019887940, 1133329900, 2145680301, 2328411541, 1572704242, 405739686, 63633520, 2046317220, 4021497634, 1385163990, 1935250885, 1762959503, 581690993, 3172043012, 628071512, 2851125739, 3726073981, 2847267504, 3408334906, 3352976111, 706277272, 3817450114, 2811957324, 3578703606, 1126685543, 2671169997, 2749086326, 2802110464, 2391618856, 3031260674, 1165714541, 2210258428, 2825634835, 101928462, 477629709, 4257022506, 2679409844, 2576087732, 736533968, 2543083137, 3430523686, 1122549807, 3056925798, 341993500, 406782950, 1770032304, 2617760292, 1321359723, 2901696227, 1890958265, 3610842776, 2666109620, 1564088598, 914173231, 3734092059, 1652333721, 3456779008, 329706426, 1022239203, 1832393502, 4064995802, 4006865520, 1046436763, 366391010, 2237068647, 2887356463, 1479646555, 3969799795, 2565473087, 1149521056, 3529037691, 2379195579, 3758124054, 1467331930, 3988027050, 2771962200, 1796797949, 836545831, 2227515435, 236831608, 2872772569, 544017308, 3439193753, 2883791516, 4170143763, 126418114, 3811390247, 1648940583, 2933346767, 639483386, 1532399845, 4165970043, 2470139222, 2376371063, 3398508789, 3828295651, 4066952157, 2997263135, 4206759111, 1266176088, 3210273687, 560560354, 2416600665, 874477513, 2304714957, 629309008, 2010844440, 2586542760, 3490241985, 3355968243, 2304043871, 855615381, 452934545, 2408437363, 1433161037, 3245468546, 3813880871, 2244403710, 1966342448, 3092333073, 1861880941, 3334256651, 2774994234, 2526395471, 1884691351, 2145882162, 3500193798, 2303702146, 1154858044, 1643256991, 3172857504, 3480843206, 130979316, 799826424, 3094672168, 3535834360, 915442396, 935499492, 520495112, 575315345, 3823364867, 2876158574, 2272973265, 310789314, 4207205257, 553462404, 2184663001, 2613016888, 3863565851, 874197736, 3329267685, 3447734684, 4106984978, 1780200631, 4088289456, 3323217870, 2748493470, 1559861146, 990374143, 2080149357, 4047813631, 2728282767, 1133329900, 2145680301, 2328411541, 1572704242, 3396987326, 63633520, 2046317220, 4021497634, 1385163990, 1582181054, 1762959503, 581690993, 3172043012, 628071512, 2790170929, 3726073981, 2847267504, 3408334906, 3352976111, 1211075015, 3817450114, 2811957324, 3578703606, 1126685543, 1946225412, 2749086326, 2802110464, 2391618856, 3031260674, 453222948, 2210258428, 2825634835, 101928462, 477629709, 410621659, 2679409844, 2576087732, 736533968, 2543083137, 1101977922, 1122549807, 3056925798, 341993500, 406782950, 3057489804, 2617760292, 1321359723, 2901696227, 1890958265, 4035843698, 2666109620, 1564088598, 914173231, 3734092059, 908525903, 3456779008, 329706426, 1022239203, 1832393502, 4024857205, 4006865520, 1046436763, 366391010, 2237068647, 1564059380, 1479646555, 3969799795, 2565473087, 1149521056, 2808155917, 2379195579, 3758124054, 1467331930, 3988027050, 810008243, 1796797949, 836545831, 2227515435, 236831608, 608273331, 544017308, 3439193753, 2883791516, 4170143763, 3309288977, 3811390247, 1648940583, 2933346767, 639483386, 1685761277, 4165970043, 2470139222, 2376371063, 3398508789, 4275493636, 4066952157, 2997263135, 4206759111, 1266176088, 333592630, 560560354, 2416600665, 874477513, 2304714957, 1438974661, 2010844440, 2586542760, 3490241985, 3355968243, 2556368068, 855615381, 452934545, 2408437363, 1433161037, 4061232080, 3813880871, 2244403710, 1966342448, 3092333073, 3412770364, 3334256651, 2774994234, 2526395471, 1884691351, 1414627588, 3500193798, 2303702146, 1154858044, 1643256991, 2245958719, 3480843206, 130979316, 799826424, 3094672168, 2214560871, 915442396, 935499492, 520495112, 575315345, 3894763683, 2876158574, 2272973265, 310789314, 4207205257, 3203740771, 2184663001, 2613016888, 3863565851, 874197736, 3371653768, 3447734684, 4106984978, 1780200631, 4088289456, 378312754, 2748493470, 1559861146, 990374143, 2080149357, 554816113, 2728282767, 1133329900, 2145680301, 2328411541, 4249979994, 3396987326, 63633520, 2046317220, 4021497634, 4185731269, 1582181054, 1762959503, 581690993, 3172043012, 3142596028, 2790170929, 3726073981, 2847267504, 3408334906, 2556911142, 1211075015, 3817450114, 2811957324, 3578703606, 1480672978, 1946225412, 2749086326, 2802110464, 2391618856, 3986823297, 453222948, 2210258428, 2825634835, 101928462, 26373721, 410621659, 2679409844, 2576087732, 736533968, 888001208, 1101977922, 1122549807, 3056925798, 341993500, 3243663736, 3057489804, 2617760292, 1321359723, 2901696227, 1652018736, 4035843698, 2666109620, 1564088598, 914173231, 1857869366, 908525903, 3456779008, 329706426, 1022239203, 2622178179, 4024857205, 4006865520, 1046436763, 366391010, 3722250905, 2880126367, 4102186560, 1642831571, 2222486636, 2572764729, 2046028516, 3507603612, 1703451134, 89818497, 1961701523, 3704300476, 3563143931, 1609575644, 1599081111, 1047838539, 2779312926, 2065354728, 956677756, 2073145924, 726634994, 119064196, 2046275296, 2105141632, 1023267361, 1204528080, 623740611, 1419328884, 933734693, 2030900835, 2556538268, 1672647866, 3125658368, 2221217376, 1097330641, 3214790630, 4276041578, 2397216525, 3916900004, 330223096, 3915966823, 2646760259, 1724289351, 4015221358, 2338587000, 110922222, 2314933196, 4026908935, 3272487985, 2685115305, 84271650, 731354215, 2358136447, 1069348214, 2676811333, 1386266810, 1364512901, 4154449904, 3469122709, 54276972, 560967905, 2363475740, 331250049, 3024074455, 186605617, 389582566, 1258386782, 703909543, 3968367083, 1553533794, 3699576213, 1145761343, 921983735, 3573813763, 1280477631, 3365842435, 1618458494, 2621328991, 1534006198, 2307669227, 4192335609, 1338050203, 785284052, 4227164890, 2874735332, 3655821191, 2911684671, 3266454200, 2679968625, 1191162601, 456550349, 1143881236, 3560103440, 2253437876, 3683014001, 1087142366, 1462192975, 1076595768, 3227872159, 1842092988, 148227073, 3812110998, 1317300278, 3068446245, 3376284001, 3164402992, 2730404635, 2848239579, 3008959791, 2901849226, 1234485739, 869158554, 245101118, 1724974650, 3851803199, 922411232, 3046280696, 3284392523, 3528264590, 2802364078, 381450957, 1741009694, 4222244451, 102929888, 1668474417, 3881791214, 1429483134, 1938365051, 1023690708, 3333855520, 3238705869, 2602245525, 3059586169, 720438965, 2120786297, 453980990, 1048501876, 4060576583, 3537810796, 3892882814, 691572481, 3899584121, 1582529013, 3260326865, 2358704826, 1607030801, 1035900449, 3442507859, 1406737127, 249758705, 1535363329, 893329207, 51912312, 3440532856, 3736385218, 295452658, 2379709553, 1647382020, 2363679860, 2998779887, }, { 4209102573, 2387104994, 1221484586, 1726143957, 3263877318, 3362559187, 282442925, 2418524976, 3196072648, 3174695999, 2072047145, 2985823503, 2132951745, 2298545297, 2495977670, 1397656146, 2086257884, 3834366725, 3862532368, 3583329522, 1543996818, 2192688115, 3081427696, 2656520743, 8772004, 2476324234, 3600148050, 1168683794, 3219143568, 108768238, 1339513738, 447593731, 2742877256, 2488536667, 4189834432, 808657962, 2422880287, 390864786, 3381554683, 760628048, 353395922, 3577556262, 2482413928, 507756643, 839344953, 3505184848, 3945044582, 2414915836, 2313624497, 1832728088, 2036999647, 1369090013, 3264575895, 1096327239, 3483440128, 3999302048, 2761563885, 2882627112, 3126073009, 1749658776, 3152482044, 3040022505, 3249451214, 2933713956, 2861715096, 1314806730, 932941454, 4276317539, 343449784, 1913556027, 1493892363, 2539517630, 2046391233, 3046108187, 28742917, 4009448584, 530945117, 3165875131, 1018448712, 110256395, 3550192264, 1279873435, 2276349621, 517650895, 1957973772, 619869608, 4260458157, 2281748739, 2489253174, 2220997989, 3787481606, 508630251, 3761850170, 3992979014, 2298047038, 3506428315, 1279341556, 3293496518, 1313470495, 1021100687, 3113171268, 798494760, 2981622008, 4152623583, 576409629, 2312811213, 992326282, 261645450, 1818084365, 3357150904, 144093, 1937589359, 2016990596, 4273422066, 588267732, 3592151118, 3846596932, 1198111464, 944363907, 1288613766, 1707163456, 4020906747, 1161127694, 2303844076, 2632591611, 3877442490, 2453788473, 1725876694, 1193989740, 2650581453, 1937459187, 361099994, 3566745727, 3658112707, 3612317412, 2684702277, 2880928862, 2044313931, 1866044828, 3528429465, 130421713, 2658878825, 1566180833, 1572228417, 531947625, 3774861000, 1894712110, 1319199233, 865634052, 2602102379, 3389730171, 3878969250, 107983959, 1601930856, 2511728925, 2146946013, 497511195, 720616881, 699892123, 2404505137, 2656498433, 4209102573, 2387104994, 1221484586, 1726143957, 1267363185, 3362559187, 282442925, 2418524976, 3196072648, 2942944206, 2072047145, 2985823503, 2132951745, 2298545297, 4079341490, 1397656146, 2086257884, 3834366725, 3862532368, 3991197972, 1543996818, 2192688115, 3081427696, 2656520743, 825853576, 2476324234, 3600148050, 1168683794, 3219143568, 528751585, 1339513738, 447593731, 2742877256, 2488536667, 4025362081, 808657962, 2422880287, 390864786, 3381554683, 2682225618, 353395922, 3577556262, 2482413928, 507756643, 3979211244, 3505184848, 3945044582, 2414915836, 2313624497, 1841224078, 2036999647, 1369090013, 3264575895, 1096327239, 607843308, 3999302048, 2761563885, 2882627112, 3126073009, 1241524975, 3152482044, 3040022505, 3249451214, 2933713956, 420486142, 1314806730, 932941454, 4276317539, 343449784, 2231505736, 1493892363, 2539517630, 2046391233, 3046108187, 2351652097, 4009448584, 530945117, 3165875131, 1018448712, 1683392491, 3550192264, 1279873435, 2276349621, 517650895, 4036312766, 619869608, 4260458157, 2281748739, 2489253174, 1686790154, 3787481606, 508630251, 3761850170, 3992979014, 1745325013, 3506428315, 1279341556, 3293496518, 1313470495, 3066312306, 3113171268, 798494760, 2981622008, 4152623583, 3871822467, 2312811213, 992326282, 261645450, 1818084365, 3681154045, 144093, 1937589359, 2016990596, 4273422066, 2361898985, 3592151118, 3846596932, 1198111464, 944363907, 2866279694, 1707163456, 4020906747, 1161127694, 2303844076, 3044280908, 3877442490, 2453788473, 1725876694, 1193989740, 2049617934, 1937459187, 361099994, 3566745727, 3658112707, 934740227, 2684702277, 2880928862, 2044313931, 1866044828, 1814569183, 130421713, 2658878825, 1566180833, 1572228417, 1784679035, 3774861000, 1894712110, 1319199233, 865634052, 283642947, 3389730171, 3878969250, 107983959, 1601930856, 3698217362, 2146946013, 497511195, 720616881, 699892123, 2117385156, 2656498433, 4209102573, 2387104994, 1221484586, 3495886368, 1267363185, 3362559187, 282442925, 2418524976, 3489510655, 2942944206, 2072047145, 2985823503, 2132951745, 885541635, 4079341490, 1397656146, 2086257884, 3834366725, 1049969755, 3991197972, 1543996818, 2192688115, 3081427696, 2141948440, 825853576, 2476324234, 3600148050, 1168683794, 5160254, 528751585, 1339513738, 447593731, 2742877256, 3033397497, 4025362081, 808657962, 2422880287, 390864786, 3191593886, 2682225618, 353395922, 3577556262, 2482413928, 1185107868, 3979211244, 3505184848, 3945044582, 2414915836, 3030493909, 1841224078, 2036999647, 1369090013, 3264575895, 3054343366, 607843308, 3999302048, 2761563885, 2882627112, 3912854189, 1241524975, 3152482044, 3040022505, 3249451214, 55140065, 420486142, 1314806730, 932941454, 4276317539, 1055315026, 2231505736, 1493892363, 2539517630, 2046391233, 4174985470, 2351652097, 4009448584, 530945117, 3165875131, 2168411768, 1683392491, 3550192264, 1279873435, 2276349621, 1875092822, 4036312766, 619869608, 4260458157, 2281748739, 98823023, 1686790154, 3787481606, 508630251, 3761850170, 2636025017, 1745325013, 3506428315, 1279341556, 3293496518, 978338993, 3066312306, 3113171268, 798494760, 2981622008, 2712384846, 3871822467, 2312811213, 992326282, 261645450, 66982935, 3681154045, 144093, 1937589359, 2016990596, 3390191329, 2361898985, 3592151118, 3846596932, 1198111464, 1857959320, 2866279694, 1707163456, 4020906747, 1161127694, 913091437, 3044280908, 3877442490, 2453788473, 1725876694, 4254455215, 2049617934, 1937459187, 361099994, 3566745727, 2914687409, 934740227, 2684702277, 2880928862, 2044313931, 1515195925, 1814569183, 130421713, 2658878825, 1566180833, 2753417020, 1784679035, 3774861000, 1894712110, 1319199233, 287161774, 283642947, 3389730171, 3878969250, 107983959, 3057929912, 3698217362, 2146946013, 497511195, 720616881, 3570251850, 2117385156, 2656498433, 4209102573, 2387104994, 2940868252, 3495886368, 1267363185, 3362559187, 282442925, 2510419746, 3489510655, 2942944206, 2072047145, 2985823503, 978430777, 885541635, 4079341490, 1397656146, 2086257884, 134380865, 1049969755, 3991197972, 1543996818, 2192688115, 1205081471, 2141948440, 825853576, 2476324234, 3600148050, 228461601, 5160254, 528751585, 1339513738, 447593731, 2852356745, 3033397497, 4025362081, 808657962, 2422880287, 3287655095, 3191593886, 2682225618, 353395922, 3577556262, 2542841784, 1185107868, 3979211244, 3505184848, 3945044582, 2905156498, 3030493909, 1841224078, 2036999647, 1369090013, 4246605417, 3054343366, 607843308, 3999302048, 2761563885, 3611911899, 3912854189, 1241524975, 3152482044, 3040022505, 3215633820, 55140065, 420486142, 1314806730, 932941454, 2708752494, 1055315026, 2231505736, 1493892363, 2539517630, 962728637, 4174985470, 2351652097, 4009448584, 530945117, 3370859357, 2168411768, 1683392491, 3550192264, 1279873435, 3028448904, 1875092822, 4036312766, 619869608, 4260458157, 199178828, 98823023, 1686790154, 3787481606, 508630251, 4205010983, 2636025017, 1745325013, 3506428315, 1279341556, 683127445, 978338993, 3066312306, 3113171268, 798494760, 2823693013, 2712384846, 3871822467, 2312811213, 992326282, 3701928286, 66982935, 3681154045, 144093, 1937589359, 1117717039, 3390191329, 2361898985, 3592151118, 3846596932, 1072660054, 1857959320, 2866279694, 1707163456, 4020906747, 2503116219, 913091437, 3044280908, 3877442490, 2453788473, 1815274499, 4254455215, 2049617934, 1937459187, 361099994, 3771108073, 2914687409, 934740227, 2684702277, 2880928862, 3591322975, 1515195925, 1814569183, 130421713, 2658878825, 354587729, 2753417020, 1784679035, 3774861000, 1894712110, 1799044969, 287161774, 283642947, 3389730171, 3878969250, 1229815186, 3057929912, 3698217362, 2146946013, 497511195, 3121882901, 426537369, 3852284416, 4050544256, 3148944089, 878474231, 1369575859, 2206199765, 870626886, 494668165, 613011290, 3246772867, 1040178461, 2396959353, 2105449571, 456758967, 4134137960, 3525051481, 3633445497, 2895048060, 2008411846, 2194012253, 2326112129, 2956901044, 2297039362, 3400824024, 42139718, 4212208866, 3874761488, 2361955811, 1890446075, 864533345, 474524842, 2283847731, 283971243, 3607219686, 280870706, 4188549522, 659660119, 2460943922, 4252134362, 922033031, 3615474721, 1691563300, 3002653770, 2414043617, 2251931324, 752654714, 4188343161, 305594960, 1320443323, 797027061, 2347530104, 3608843538, 2717312892, 1841295453, 1574467161, 823626340, 2244853583, 2648217758, 141742826, 1605436472, 745763543, 3275460028, 3166960370, 2655678693, 3964037210, 945054703, 998173049, 1014527437, 3424443612, 281835352, 826817508, 260462513, 2849967970, 3447294061, 3670173947, 2430650055, 4134905457, 3798172627, 2156572681, 2600148034, 2773013892, 3290397106, 1740507705, 3450254627, 3613087060, 440045928, 1230555006, 980805434, 2107958250, 526555374, 3150741277, 4283672024, 193019043, 786035243, 3002832578, 3938336183, 4209865002, 1005950967, 3533346582, 3196886974, 83962845, 1882902787, 3595687446, 2927597311, 2728550762, 2750900392, 1474254316, 1509832112, 1763262792, 2706181276, 538294991, 353565565, 18133995, 1719731406, 3311085516, 2018821960, 300367686, 2628312935, 1151449661, 2178805970, 3288321196, 535051857, 1623270973, 2761151808, 2701048972, 317681607, 2281427601, 719748170, 351452298, 2191958596, 4000232015, 335837771, 4158081521, 3779404077, 1998444133, 3849605095, 1532231791, 2930266419, 4203951289, 748423654, 1993082867, 451159852, 488781053, 2438982775, 2222815270, 543209242, 1241562465, 2868868009, 4201052877, 2438841764, 2151708682, 2426958921, 1520654642, 1990098337, 1070792755, 2308394635, 1442389785, 705615044, }, { 973368008, 1221885324, 2086331970, 2323744198, 280145759, 1795442656, 2984366093, 3532172763, 323888669, 851950179, 4198638255, 899943985, 4087912561, 2935341503, 1443752852, 3991058999, 3547259355, 35779889, 1076308344, 4075444807, 186174448, 3542284780, 660388677, 2777400132, 1092226205, 2418702276, 1307933032, 1940510003, 1932005362, 4016036211, 387339882, 2969593895, 3453134349, 1382709098, 1795814140, 1588159469, 1216733801, 2227378121, 2063027627, 582454582, 3364657275, 3466973302, 484564303, 1489261596, 2270291560, 2008178784, 2284268924, 2229317366, 644797709, 1213921542, 99331403, 3027640949, 1137722852, 2991506109, 1432805987, 931795812, 1075567424, 28963219, 1462245461, 3781444706, 521233400, 1891915904, 3774338085, 1635359313, 2356111795, 4121073768, 1045110727, 2822507066, 1087914587, 3744509525, 911370656, 181884066, 1944539735, 290356444, 3598887471, 4236934380, 3224468239, 457546246, 4119337570, 37700432, 655783844, 1423101410, 1693002969, 3287768267, 928748421, 4074128009, 3081088543, 2882833790, 3180154875, 1094657682, 2388253717, 4173455215, 794709427, 3363292346, 67786868, 3786597763, 380587236, 2345941620, 560232318, 2137123833, 619747082, 1050293267, 2537845069, 1407302835, 433399526, 1083185007, 1893842085, 3711748584, 4225838280, 3863317129, 2043467942, 2799650657, 3590486611, 1231938950, 215905995, 155811669, 806806587, 2732631168, 1621659281, 632403616, 401165422, 2661074778, 4156963191, 3691812937, 3767271627, 2834948318, 2877210497, 2420260153, 733172233, 1771708940, 3102718549, 2468707423, 1857088312, 3176535032, 1908570295, 3966666208, 605079895, 2982506620, 3721694730, 1640691570, 3764975545, 3257514114, 1826578604, 1358557411, 4049610348, 615820785, 3355718142, 1734641780, 2958744617, 274522187, 3198436002, 4077346785, 2890101344, 4012464346, 1288365365, 96583076, 2656389382, 1858181040, 2717010340, 2032153178, 349324012, 973368008, 1221885324, 2086331970, 2323744198, 253685576, 1795442656, 2984366093, 3532172763, 323888669, 248935329, 4198638255, 899943985, 4087912561, 2935341503, 3213394756, 3991058999, 3547259355, 35779889, 1076308344, 1987715385, 186174448, 3542284780, 660388677, 2777400132, 2071022105, 2418702276, 1307933032, 1940510003, 1932005362, 144370664, 387339882, 2969593895, 3453134349, 1382709098, 2394736611, 1588159469, 1216733801, 2227378121, 2063027627, 4064263898, 3364657275, 3466973302, 484564303, 1489261596, 3405101812, 2008178784, 2284268924, 2229317366, 644797709, 2560273821, 99331403, 3027640949, 1137722852, 2991506109, 1446442417, 931795812, 1075567424, 28963219, 1462245461, 1201513613, 521233400, 1891915904, 3774338085, 1635359313, 2815447944, 4121073768, 1045110727, 2822507066, 1087914587, 2485035329, 911370656, 181884066, 1944539735, 290356444, 2078819341, 4236934380, 3224468239, 457546246, 4119337570, 2666895496, 655783844, 1423101410, 1693002969, 3287768267, 3595439673, 4074128009, 3081088543, 2882833790, 3180154875, 872453917, 2388253717, 4173455215, 794709427, 3363292346, 4188764388, 3786597763, 380587236, 2345941620, 560232318, 625538006, 619747082, 1050293267, 2537845069, 1407302835, 2128289331, 1083185007, 1893842085, 3711748584, 4225838280, 2486133065, 2043467942, 2799650657, 3590486611, 1231938950, 928582681, 155811669, 806806587, 2732631168, 1621659281, 1163969880, 401165422, 2661074778, 4156963191, 3691812937, 2322579561, 2834948318, 2877210497, 2420260153, 733172233, 170239236, 3102718549, 2468707423, 1857088312, 3176535032, 3868693408, 3966666208, 605079895, 2982506620, 3721694730, 2066859537, 3764975545, 3257514114, 1826578604, 1358557411, 2964604045, 615820785, 3355718142, 1734641780, 2958744617, 4091225681, 3198436002, 4077346785, 2890101344, 4012464346, 2612861218, 96583076, 2656389382, 1858181040, 2717010340, 3639170895, 349324012, 973368008, 1221885324, 2086331970, 2258432445, 253685576, 1795442656, 2984366093, 3532172763, 3831166882, 248935329, 4198638255, 899943985, 4087912561, 715173523, 3213394756, 3991058999, 3547259355, 35779889, 2393072396, 1987715385, 186174448, 3542284780, 660388677, 3731857267, 2071022105, 2418702276, 1307933032, 1940510003, 4262274779, 144370664, 387339882, 2969593895, 3453134349, 1923698215, 2394736611, 1588159469, 1216733801, 2227378121, 2907069566, 4064263898, 3364657275, 3466973302, 484564303, 2234542580, 3405101812, 2008178784, 2284268924, 2229317366, 1349323372, 2560273821, 99331403, 3027640949, 1137722852, 4200786664, 1446442417, 931795812, 1075567424, 28963219, 1659632304, 1201513613, 521233400, 1891915904, 3774338085, 763590809, 2815447944, 4121073768, 1045110727, 2822507066, 4131040734, 2485035329, 911370656, 181884066, 1944539735, 4104473807, 2078819341, 4236934380, 3224468239, 457546246, 1241850776, 2666895496, 655783844, 1423101410, 1693002969, 2025898966, 3595439673, 4074128009, 3081088543, 2882833790, 218474476, 872453917, 2388253717, 4173455215, 794709427, 250328312, 4188764388, 3786597763, 380587236, 2345941620, 1937652040, 625538006, 619747082, 1050293267, 2537845069, 1140055765, 2128289331, 1083185007, 1893842085, 3711748584, 2298055548, 2486133065, 2043467942, 2799650657, 3590486611, 1235949580, 928582681, 155811669, 806806587, 2732631168, 4046198728, 1163969880, 401165422, 2661074778, 4156963191, 2003518762, 2322579561, 2834948318, 2877210497, 2420260153, 326741418, 170239236, 3102718549, 2468707423, 1857088312, 3936056808, 3868693408, 3966666208, 605079895, 2982506620, 2354705582, 2066859537, 3764975545, 3257514114, 1826578604, 3017501686, 2964604045, 615820785, 3355718142, 1734641780, 1681548103, 4091225681, 3198436002, 4077346785, 2890101344, 416470693, 2612861218, 96583076, 2656389382, 1858181040, 3104217288, 3639170895, 349324012, 973368008, 1221885324, 601524567, 2258432445, 253685576, 1795442656, 2984366093, 1875491903, 3831166882, 248935329, 4198638255, 899943985, 2182697927, 715173523, 3213394756, 3991058999, 3547259355, 1472237612, 2393072396, 1987715385, 186174448, 3542284780, 2160848139, 3731857267, 2071022105, 2418702276, 1307933032, 3815354311, 4262274779, 144370664, 387339882, 2969593895, 4240850623, 1923698215, 2394736611, 1588159469, 1216733801, 322523795, 2907069566, 4064263898, 3364657275, 3466973302, 2920715858, 2234542580, 3405101812, 2008178784, 2284268924, 1936025139, 1349323372, 2560273821, 99331403, 3027640949, 859541953, 4200786664, 1446442417, 931795812, 1075567424, 1876635772, 1659632304, 1201513613, 521233400, 1891915904, 3949233865, 763590809, 2815447944, 4121073768, 1045110727, 2522258582, 4131040734, 2485035329, 911370656, 181884066, 2467886009, 4104473807, 2078819341, 4236934380, 3224468239, 603014155, 1241850776, 2666895496, 655783844, 1423101410, 673119756, 2025898966, 3595439673, 4074128009, 3081088543, 4100445818, 218474476, 872453917, 2388253717, 4173455215, 2395519424, 250328312, 4188764388, 3786597763, 380587236, 4292608797, 1937652040, 625538006, 619747082, 1050293267, 2989616803, 1140055765, 2128289331, 1083185007, 1893842085, 3313934002, 2298055548, 2486133065, 2043467942, 2799650657, 1804808801, 1235949580, 928582681, 155811669, 806806587, 2864892828, 4046198728, 1163969880, 401165422, 2661074778, 2946769376, 2003518762, 2322579561, 2834948318, 2877210497, 2647485275, 326741418, 170239236, 3102718549, 2468707423, 2520336801, 3936056808, 3868693408, 3966666208, 605079895, 2949706551, 2354705582, 2066859537, 3764975545, 3257514114, 495003693, 3017501686, 2964604045, 615820785, 3355718142, 3799230297, 1681548103, 4091225681, 3198436002, 4077346785, 258363842, 416470693, 2612861218, 96583076, 2656389382, 2198085634, 1607235362, 694172175, 4194347563, 2665732891, 3419430286, 597070176, 2749480905, 3937535348, 3639873850, 2050067843, 4045290683, 2964298196, 3631595287, 1409808193, 121765438, 2129412744, 2497437101, 2664102876, 1773441464, 1708052456, 2923764322, 3350385352, 1592204280, 1118221370, 3416016313, 116121364, 1179473397, 1497519022, 902569114, 3840281863, 2783662797, 1712084322, 1982884601, 3625797892, 4222938993, 3231134134, 3046745397, 446484563, 1133869192, 2622178726, 3881085862, 4012894217, 391734322, 2089696890, 1304197030, 2663978386, 1685998658, 4238620912, 448351665, 2724524045, 1038754164, 413586547, 3107681687, 1454664365, 3353731192, 128440996, 565817989, 127978294, 1043863326, 1747369107, 2772246481, 172569313, 2740699699, 3417082503, 2103702630, 2139566116, 1378864710, 2444170529, 3234220221, 3974870858, 1965162347, 956763257, 3932467825, 1077337271, 4084837149, 3699147465, 1882164226, 236113740, 3116302858, 2730529598, 3449804672, 4002370655, 2011573068, 1551746089, 3917496971, 2852603, 1682999535, 2764817908, 2489487254, 261936311, 3122421452, 1199382345, 2617247590, 1909026938, 3156073069, 1492533764, 97847107, 1260892586, 187242945, 1286471861, 1763024967, 127723419, 210606273, 228546401, 3249879676, 482069954, 383075106, 3263105259, 2242748676, 1105681409, 4033144425, 4017983282, 1670425353, 4040882785, 1780687273, 1405678015, 3076115981, 2713472488, 286336494, 3664225263, 502759060, 777620620, 635590826, 132236203, 1866406173, 1235046453, 2859554298, 121814656, 944976320, 1946494170, 2548097575, 415384946, 3934685646, 1507032178, 1383654007, 2906269630, 566005756, 3118733139, 2969075870, 1834096359, 3263358416, 1322979710, 904583023, 3582075094, 2298898632, 2491891941, 660351763, 2548592542, 3009200751, 2116595110, 2623212287, 4167133624, 196759529, 3038645579, 1769704552, 1713233322, 2127497999, 3849458221, 3769872265, }, { 51082211, 3347503176, 3221768777, 2986163981, 3937460013, 1716372908, 4132024211, 3035957293, 1791036224, 4214815056, 1645540011, 2629793790, 3185505897, 1855718954, 495459467, 1728339314, 2318396341, 3396602050, 3273624616, 2625973148, 1762905939, 1706358553, 1088424264, 2764318930, 1026127380, 1128004134, 2724553694, 41981087, 2304966004, 1342745986, 3425554050, 3537673465, 752263676, 280905885, 929399589, 4090689526, 2141254732, 1469491656, 2593100469, 1096008340, 3316809312, 1698245188, 1656427920, 3081873338, 1750515301, 3850483440, 4081834419, 1225164947, 1244139942, 1972663124, 116832506, 3097397897, 961156503, 1899056660, 1659173175, 1890464921, 1891872926, 191259956, 1735304734, 4246751855, 4285601625, 1495519933, 3398829761, 997567482, 2277782972, 1286922996, 3120709698, 15569196, 191501283, 3916619528, 1552075789, 4259725643, 2837166910, 2231584792, 1912204495, 2597304083, 4147585653, 1021482843, 2003417305, 186794491, 3608172979, 1991038123, 97515853, 34341352, 4163491231, 1046079304, 4105813389, 3589099183, 3970004064, 3899560802, 4148331147, 2267137817, 85024486, 3019925981, 3069231953, 1563669137, 314080592, 2943111861, 2838243982, 726216848, 2621853102, 2355885175, 3359668856, 1111296541, 2330283124, 3626558972, 4290084148, 1632078, 1047440803, 1350377197, 2490578842, 2366345698, 1628128899, 860259543, 1937956234, 2833820527, 329818923, 648489148, 1791961202, 1652322723, 1513419073, 149629345, 2468961221, 3711837973, 2377333831, 1434755773, 3808719305, 2513270108, 2701064683, 3097011724, 303393137, 1346302239, 1852307302, 850106025, 2473124483, 2853497268, 3786573704, 2604101162, 1446573486, 506925220, 3138967488, 2973528682, 2752811123, 2890321579, 1037196362, 1335670403, 1560253777, 1437495434, 2700525242, 4259933972, 3870707795, 4141538580, 3375331039, 3081538601, 3129978494, 3689191993, 1933431212, 2196145886, 87814045, 878611347, 812542698, 51082211, 3347503176, 3221768777, 2986163981, 277257023, 1716372908, 4132024211, 3035957293, 1791036224, 2713916211, 1645540011, 2629793790, 3185505897, 1855718954, 3800150234, 1728339314, 2318396341, 3396602050, 3273624616, 2530282967, 1762905939, 1706358553, 1088424264, 2764318930, 4224669506, 1128004134, 2724553694, 41981087, 2304966004, 484289311, 3425554050, 3537673465, 752263676, 280905885, 657028134, 4090689526, 2141254732, 1469491656, 2593100469, 2089385540, 3316809312, 1698245188, 1656427920, 3081873338, 2750354264, 3850483440, 4081834419, 1225164947, 1244139942, 3432605739, 116832506, 3097397897, 961156503, 1899056660, 2234120716, 1890464921, 1891872926, 191259956, 1735304734, 125359575, 4285601625, 1495519933, 3398829761, 997567482, 4034254942, 1286922996, 3120709698, 15569196, 191501283, 2090684174, 1552075789, 4259725643, 2837166910, 2231584792, 3412758413, 2597304083, 4147585653, 1021482843, 2003417305, 2464533361, 3608172979, 1991038123, 97515853, 34341352, 2634732952, 1046079304, 4105813389, 3589099183, 3970004064, 4263828421, 4148331147, 2267137817, 85024486, 3019925981, 3229477751, 1563669137, 314080592, 2943111861, 2838243982, 1274664774, 2621853102, 2355885175, 3359668856, 1111296541, 1615234696, 3626558972, 4290084148, 1632078, 1047440803, 623898652, 2490578842, 2366345698, 1628128899, 860259543, 2097114662, 2833820527, 329818923, 648489148, 1791961202, 1730000077, 1513419073, 149629345, 2468961221, 3711837973, 3255238414, 1434755773, 3808719305, 2513270108, 2701064683, 1635042488, 303393137, 1346302239, 1852307302, 850106025, 3523245944, 2853497268, 3786573704, 2604101162, 1446573486, 1011238489, 3138967488, 2973528682, 2752811123, 2890321579, 1044586909, 1335670403, 1560253777, 1437495434, 2700525242, 608940900, 3870707795, 4141538580, 3375331039, 3081538601, 728626935, 3689191993, 1933431212, 2196145886, 87814045, 646732047, 812542698, 51082211, 3347503176, 3221768777, 1783601443, 277257023, 1716372908, 4132024211, 3035957293, 3363442238, 2713916211, 1645540011, 2629793790, 3185505897, 2066587565, 3800150234, 1728339314, 2318396341, 3396602050, 2279941522, 2530282967, 1762905939, 1706358553, 1088424264, 2989326347, 4224669506, 1128004134, 2724553694, 41981087, 2348931916, 484289311, 3425554050, 3537673465, 752263676, 3169550883, 657028134, 4090689526, 2141254732, 1469491656, 1152943917, 2089385540, 3316809312, 1698245188, 1656427920, 1808689833, 2750354264, 3850483440, 4081834419, 1225164947, 2422106046, 3432605739, 116832506, 3097397897, 961156503, 1581804167, 2234120716, 1890464921, 1891872926, 191259956, 4113708001, 125359575, 4285601625, 1495519933, 3398829761, 3473435310, 4034254942, 1286922996, 3120709698, 15569196, 3122200488, 2090684174, 1552075789, 4259725643, 2837166910, 2838170407, 3412758413, 2597304083, 4147585653, 1021482843, 954000150, 2464533361, 3608172979, 1991038123, 97515853, 3832321348, 2634732952, 1046079304, 4105813389, 3589099183, 1288675572, 4263828421, 4148331147, 2267137817, 85024486, 1080403742, 3229477751, 1563669137, 314080592, 2943111861, 3357655593, 1274664774, 2621853102, 2355885175, 3359668856, 3722440291, 1615234696, 3626558972, 4290084148, 1632078, 4263556325, 623898652, 2490578842, 2366345698, 1628128899, 3623136669, 2097114662, 2833820527, 329818923, 648489148, 592747007, 1730000077, 1513419073, 149629345, 2468961221, 3766709284, 3255238414, 1434755773, 3808719305, 2513270108, 1958651003, 1635042488, 303393137, 1346302239, 1852307302, 579487408, 3523245944, 2853497268, 3786573704, 2604101162, 4183724981, 1011238489, 3138967488, 2973528682, 2752811123, 3074709397, 1044586909, 1335670403, 1560253777, 1437495434, 1237099522, 608940900, 3870707795, 4141538580, 3375331039, 2032507604, 728626935, 3689191993, 1933431212, 2196145886, 4008131891, 646732047, 812542698, 51082211, 3347503176, 3622107037, 1783601443, 277257023, 1716372908, 4132024211, 1264285659, 3363442238, 2713916211, 1645540011, 2629793790, 2179309595, 2066587565, 3800150234, 1728339314, 2318396341, 580990822, 2279941522, 2530282967, 1762905939, 1706358553, 2826056883, 2989326347, 4224669506, 1128004134, 2724553694, 1486392636, 2348931916, 484289311, 3425554050, 3537673465, 2497657189, 3169550883, 657028134, 4090689526, 2141254732, 1019244016, 1152943917, 2089385540, 3316809312, 1698245188, 2921739456, 1808689833, 2750354264, 3850483440, 4081834419, 108425527, 2422106046, 3432605739, 116832506, 3097397897, 3902994002, 1581804167, 2234120716, 1890464921, 1891872926, 3428861050, 4113708001, 125359575, 4285601625, 1495519933, 3350053832, 3473435310, 4034254942, 1286922996, 3120709698, 2906201347, 3122200488, 2090684174, 1552075789, 4259725643, 1965598685, 2838170407, 3412758413, 2597304083, 4147585653, 3335631208, 954000150, 2464533361, 3608172979, 1991038123, 3788034599, 3832321348, 2634732952, 1046079304, 4105813389, 2362460804, 1288675572, 4263828421, 4148331147, 2267137817, 2767331798, 1080403742, 3229477751, 1563669137, 314080592, 1737897403, 3357655593, 1274664774, 2621853102, 2355885175, 57997639, 3722440291, 1615234696, 3626558972, 4290084148, 3703113369, 4263556325, 623898652, 2490578842, 2366345698, 73788443, 3623136669, 2097114662, 2833820527, 329818923, 253042650, 592747007, 1730000077, 1513419073, 149629345, 4248302934, 3766709284, 3255238414, 1434755773, 3808719305, 3698431827, 1958651003, 1635042488, 303393137, 1346302239, 3872433842, 579487408, 3523245944, 2853497268, 3786573704, 3459185849, 4183724981, 1011238489, 3138967488, 2973528682, 2605373899, 3074709397, 1044586909, 1335670403, 1560253777, 4069724875, 1237099522, 608940900, 3870707795, 4141538580, 2550307954, 2032507604, 728626935, 3689191993, 1933431212, 1177640824, 4168589688, 1361487780, 2649612520, 2181448948, 2176288560, 947907377, 3772487849, 2002599877, 3353450532, 2013145251, 2357912348, 2316997609, 2355480213, 255142205, 751273749, 4049362748, 1434168014, 2069693747, 6910933, 1352778547, 2413649875, 4238683558, 484497407, 522555106, 1848417180, 3001805499, 2264939603, 3606143565, 1782482647, 2955918436, 3471474379, 2814133839, 3779337475, 3522102195, 1551792178, 3742001759, 3433504551, 472918932, 3835854229, 4259163014, 4103952359, 1989474190, 1792448078, 1517735224, 1958036884, 2277922531, 2856192348, 4294188732, 2674247971, 643649427, 3847742408, 1512435795, 4236693554, 1749045838, 397093640, 2940663643, 4156440725, 188785143, 3894740830, 897618321, 3333498692, 1623924612, 4111607062, 2242558573, 1565861815, 1177957654, 4129621176, 2232443247, 3216995984, 3313294700, 791442469, 1782204490, 2452634246, 1288014576, 1347365377, 112254281, 2044140398, 2479591984, 3293701920, 1062335151, 1397230369, 2460086085, 2412349474, 1252633202, 3704541545, 2132499200, 2202058121, 1981543691, 2683673516, 1198109770, 4279157703, 2224504258, 2188868731, 769314834, 601313429, 3595357440, 561383123, 3444949507, 2127327734, 2865252582, 4181002098, 2408426518, 309361635, 2377703815, 1109219406, 406287309, 1750179098, 3619129839, 937928728, 884423945, 928407281, 4173634172, 1492070114, 2706943441, 1365883971, 3076484301, 744370087, 4004118884, 2199449568, 879458863, 3197725005, 3590586547, 59693002, 3614114662, 1499386564, 2914582708, 3751842429, 947438603, 1986129491, 3747112289, 833777768, 2231649410, 1841607849, 3526253103, 3797105813, 1291185911, 3188408549, 3311027691, 3983681758, 2246511800, 1271525377, 2996265908, 2396071405, 902427181, 164636454, 2459631341, 635349368, 463309029, 1409367654, 849052250, 3221786769, 2310288531, 2919204855, 1263130532, 1215722704, 3497322658, 2840687222, 2185004161, 1507335864, }, { 2052557448, 2879065999, 22933757, 2160014758, 3736092460, 3556641619, 1350613766, 2107757927, 309323868, 3452852627, 3424626316, 545651740, 1935764720, 2349926457, 3546577033, 862046434, 167198649, 338290297, 1145807303, 1571276102, 883549156, 907871968, 638566313, 678764227, 3795356864, 3306095271, 1452688488, 621126888, 1838613968, 2054107827, 1785040579, 454879400, 1952849106, 1907701866, 1639495252, 1623968604, 2997422000, 2633878652, 1036670775, 2191465943, 3053533585, 1654709920, 1950620393, 4177745509, 1742007818, 2888573892, 2825965566, 1399790365, 1307674482, 310692416, 384880529, 3497622676, 1024664651, 1541456182, 1904670217, 1008618602, 2816673160, 684112698, 3332034744, 3646613828, 962627614, 3072103948, 3713153075, 476323310, 3243124597, 126319837, 2155412848, 228580793, 2142696490, 3442722759, 2689599232, 426191419, 3157759186, 100239709, 494534049, 1259677734, 2889209278, 1754641396, 1057778427, 2133253617, 1298500018, 3340348062, 3967049659, 2927469144, 1503854147, 2271956463, 3004309866, 260248338, 2570702480, 2067671015, 3168497089, 361311552, 2123195373, 2825457193, 2599488181, 507483626, 1201669979, 910763802, 4158584821, 3116016424, 3375736126, 2857697336, 3112473104, 2683465481, 1495348009, 681020485, 4044713962, 2443109893, 129994063, 1710251126, 820410567, 601527649, 1007603132, 2096580480, 1942768885, 1984297765, 1888157243, 960265104, 527990410, 1572910026, 1106822080, 1472807331, 2465011897, 3139401215, 3705452371, 393081842, 3826516196, 2576499701, 4130037087, 4155028170, 2188282304, 2949056849, 1138928618, 858751984, 3735375571, 496972334, 830265621, 1355757111, 909444416, 1337622259, 2616327935, 2337227347, 2139876075, 4269663356, 796316592, 1893005585, 3958551664, 1746456069, 2430709714, 4025417573, 3333292799, 1833607331, 3864559081, 3415700826, 3291421244, 1987321873, 1792851165, 505718946, 3755903648, 3351468604, 4035552813, 2052557448, 2879065999, 22933757, 2160014758, 2321387515, 3556641619, 1350613766, 2107757927, 309323868, 1850700415, 3424626316, 545651740, 1935764720, 2349926457, 979047283, 862046434, 167198649, 338290297, 1145807303, 4201635137, 883549156, 907871968, 638566313, 678764227, 2637527083, 3306095271, 1452688488, 621126888, 1838613968, 117966344, 1785040579, 454879400, 1952849106, 1907701866, 733998186, 1623968604, 2997422000, 2633878652, 1036670775, 3360491537, 3053533585, 1654709920, 1950620393, 4177745509, 1716078578, 2888573892, 2825965566, 1399790365, 1307674482, 2776111761, 384880529, 3497622676, 1024664651, 1541456182, 618916624, 1008618602, 2816673160, 684112698, 3332034744, 3340690804, 962627614, 3072103948, 3713153075, 476323310, 902990902, 126319837, 2155412848, 228580793, 2142696490, 4254301999, 2689599232, 426191419, 3157759186, 100239709, 3216403640, 1259677734, 2889209278, 1754641396, 1057778427, 3221479262, 1298500018, 3340348062, 3967049659, 2927469144, 3926654939, 2271956463, 3004309866, 260248338, 2570702480, 1879451653, 3168497089, 361311552, 2123195373, 2825457193, 341920668, 507483626, 1201669979, 910763802, 4158584821, 3748705813, 3375736126, 2857697336, 3112473104, 2683465481, 3336305747, 681020485, 4044713962, 2443109893, 129994063, 2578353596, 820410567, 601527649, 1007603132, 2096580480, 3155251071, 1984297765, 1888157243, 960265104, 527990410, 2548692624, 1106822080, 1472807331, 2465011897, 3139401215, 736629379, 393081842, 3826516196, 2576499701, 4130037087, 2440227627, 2188282304, 2949056849, 1138928618, 858751984, 191805249, 496972334, 830265621, 1355757111, 909444416, 396738554, 2616327935, 2337227347, 2139876075, 4269663356, 3932761947, 1893005585, 3958551664, 1746456069, 2430709714, 3171160829, 3333292799, 1833607331, 3864559081, 3415700826, 1332800826, 1987321873, 1792851165, 505718946, 3755903648, 1770588062, 4035552813, 2052557448, 2879065999, 22933757, 3159941473, 2321387515, 3556641619, 1350613766, 2107757927, 2669366188, 1850700415, 3424626316, 545651740, 1935764720, 3252475208, 979047283, 862046434, 167198649, 338290297, 771814471, 4201635137, 883549156, 907871968, 638566313, 184144160, 2637527083, 3306095271, 1452688488, 621126888, 4275587594, 117966344, 1785040579, 454879400, 1952849106, 3806424990, 733998186, 1623968604, 2997422000, 2633878652, 2670843077, 3360491537, 3053533585, 1654709920, 1950620393, 3541927406, 1716078578, 2888573892, 2825965566, 1399790365, 3184295779, 2776111761, 384880529, 3497622676, 1024664651, 723804135, 618916624, 1008618602, 2816673160, 684112698, 3275521308, 3340690804, 962627614, 3072103948, 3713153075, 2023106558, 902990902, 126319837, 2155412848, 228580793, 3978575748, 4254301999, 2689599232, 426191419, 3157759186, 2446138116, 3216403640, 1259677734, 2889209278, 1754641396, 1706032491, 3221479262, 1298500018, 3340348062, 3967049659, 3805001240, 3926654939, 2271956463, 3004309866, 260248338, 294480880, 1879451653, 3168497089, 361311552, 2123195373, 2080604411, 341920668, 507483626, 1201669979, 910763802, 2012149356, 3748705813, 3375736126, 2857697336, 3112473104, 2935748807, 3336305747, 681020485, 4044713962, 2443109893, 2862982895, 2578353596, 820410567, 601527649, 1007603132, 1890290066, 3155251071, 1984297765, 1888157243, 960265104, 41870487, 2548692624, 1106822080, 1472807331, 2465011897, 2382974023, 736629379, 393081842, 3826516196, 2576499701, 4219335149, 2440227627, 2188282304, 2949056849, 1138928618, 3785297102, 191805249, 496972334, 830265621, 1355757111, 3962907313, 396738554, 2616327935, 2337227347, 2139876075, 552154011, 3932761947, 1893005585, 3958551664, 1746456069, 895507243, 3171160829, 3333292799, 1833607331, 3864559081, 3564325554, 1332800826, 1987321873, 1792851165, 505718946, 3245448088, 1770588062, 4035552813, 2052557448, 2879065999, 3602157977, 3159941473, 2321387515, 3556641619, 1350613766, 4101259055, 2669366188, 1850700415, 3424626316, 545651740, 2873707882, 3252475208, 979047283, 862046434, 167198649, 654196140, 771814471, 4201635137, 883549156, 907871968, 191965184, 184144160, 2637527083, 3306095271, 1452688488, 1562736568, 4275587594, 117966344, 1785040579, 454879400, 3484019450, 3806424990, 733998186, 1623968604, 2997422000, 273316614, 2670843077, 3360491537, 3053533585, 1654709920, 591311873, 3541927406, 1716078578, 2888573892, 2825965566, 2277117038, 3184295779, 2776111761, 384880529, 3497622676, 1086566797, 723804135, 618916624, 1008618602, 2816673160, 3344392942, 3275521308, 3340690804, 962627614, 3072103948, 2910444460, 2023106558, 902990902, 126319837, 2155412848, 337119596, 3978575748, 4254301999, 2689599232, 426191419, 3471778695, 2446138116, 3216403640, 1259677734, 2889209278, 4102983766, 1706032491, 3221479262, 1298500018, 3340348062, 2940293024, 3805001240, 3926654939, 2271956463, 3004309866, 3634668003, 294480880, 1879451653, 3168497089, 361311552, 3417679321, 2080604411, 341920668, 507483626, 1201669979, 3174274528, 2012149356, 3748705813, 3375736126, 2857697336, 3929686609, 2935748807, 3336305747, 681020485, 4044713962, 405011299, 2862982895, 2578353596, 820410567, 601527649, 4281957726, 1890290066, 3155251071, 1984297765, 1888157243, 1978308818, 41870487, 2548692624, 1106822080, 1472807331, 3701147046, 2382974023, 736629379, 393081842, 3826516196, 3225163595, 4219335149, 2440227627, 2188282304, 2949056849, 3894577191, 3785297102, 191805249, 496972334, 830265621, 4293577013, 3962907313, 396738554, 2616327935, 2337227347, 3701032380, 552154011, 3932761947, 1893005585, 3958551664, 4148575672, 895507243, 3171160829, 3333292799, 1833607331, 1596419195, 3564325554, 1332800826, 1987321873, 1792851165, 3663406943, 3892533309, 247565591, 953356243, 4103354183, 1908418768, 3915294912, 2390669489, 3865260287, 1818313429, 557880278, 2499771815, 2618380525, 732785004, 1414011135, 2858311749, 3871596970, 2428464498, 645476041, 683035653, 4079609082, 2404111028, 3332056297, 3054547484, 3616426087, 1311379849, 3682136336, 3795847093, 1509718393, 541389178, 1103876446, 2549442278, 3656600574, 3019560735, 523610761, 3889482885, 3080739216, 2359120072, 1034857006, 63567637, 1520176098, 1741685274, 2330217396, 1429674399, 517809884, 2653145241, 868296581, 646514407, 3166145188, 3023629813, 2333851648, 2967365394, 1828821737, 3333092181, 445460259, 2682093551, 3655100102, 2592872076, 1588368999, 3964958220, 755397374, 1912970603, 396253754, 4260038354, 1530898510, 2396805917, 3327501452, 4235709361, 2762163349, 553869167, 3162483580, 1611891352, 248738605, 3403092967, 2194464420, 113420452, 1752444845, 3770903547, 2397481985, 2866414964, 2555678075, 2796010061, 762034588, 2679383682, 1848516655, 3857720381, 1119111363, 1829110546, 2183620391, 1743838702, 3363053704, 2212810289, 966205413, 3897281091, 2148139678, 2690229390, 427450194, 3516115778, 1864991059, 134448489, 3397232480, 3999530682, 1927036992, 3170864927, 3879295489, 134554462, 3447324105, 86678510, 1656551206, 2844494044, 2469678938, 2885597732, 2715483555, 3566904604, 462585182, 1922457093, 3035264235, 2866504077, 2031456720, 1598555964, 2569915450, 3947972758, 290683210, 2465427488, 3504862176, 793156806, 1722326752, 2706215067, 3818976191, 2007064241, 552144413, 2692866408, 3975075075, 4293828741, 1123460373, 960845744, 1855626484, 1876934434, 1343778249, 912185207, 127278206, 4168930635, 340393978, 65814528, 2552086271, 2507474816, 1240220220, 1761964455, 2204917500, 4088965101, 1079310398, 3071460742, 2188549805, 1064733776, 4191719087, 3221046115, 3772395288, 883516842, 2077853840, 229484673, }, { 448889887, 3508620909, 4164289950, 155254859, 298319697, 980080883, 3500794888, 3974907245, 682778656, 382798811, 1500342771, 3942535492, 1039809505, 2126581011, 561192171, 4046277638, 840733718, 1694555864, 241216466, 4182349979, 2525929010, 386794637, 349755829, 2959959729, 686974318, 3243688353, 3911051908, 3917458620, 441833800, 3164548257, 584185450, 450132281, 3528356519, 4275666503, 1317069624, 817077137, 2945430988, 1532878265, 2542155552, 3348614029, 1419611574, 1245233100, 1981161828, 1161647342, 2781439556, 3896025436, 2349200248, 1213899699, 860301545, 1590934964, 3371591516, 2850926464, 2774569126, 907316453, 3541736952, 3572719697, 278602945, 4257620354, 3396349537, 3144949411, 191271983, 2974056951, 2743594803, 1119054633, 815666748, 920991498, 187861899, 2008325469, 1548504646, 3749744762, 993523345, 1171349070, 4105576982, 1559471848, 2656434170, 2795453957, 3357293755, 4260164297, 2211998873, 1783238785, 2831224398, 1704939914, 2626903427, 1148581053, 849777796, 4219173763, 694869701, 1297370017, 3573985711, 1739242781, 3680794431, 400850360, 909653264, 1496585542, 460982606, 828640603, 3993062500, 2145047281, 1587836828, 912583500, 1234319994, 4276951314, 485282908, 1903750880, 1667769214, 3950976882, 3711912938, 3626058764, 627857875, 436470402, 1753727232, 50241405, 206782941, 612110492, 954016857, 2567547031, 3360482779, 820704062, 412722485, 2044763466, 1915626743, 2703000434, 2755090057, 53587450, 2457122208, 1397065983, 2822294224, 3024827428, 2201149820, 699377793, 157099022, 2792298089, 3927835437, 1095494739, 1230723791, 2740420278, 2518077381, 3674832547, 2375246835, 923451748, 3665432731, 1577970518, 2643388181, 4050379756, 1145072065, 1632232822, 2365350332, 1126185680, 930842061, 3816331201, 1624573114, 3809118349, 1187817320, 945407897, 63630679, 1852369563, 971772965, 2229069035, 2320405193, 3474864049, 1666937976, 448889887, 3508620909, 4164289950, 155254859, 3157319819, 980080883, 3500794888, 3974907245, 682778656, 3201604042, 1500342771, 3942535492, 1039809505, 2126581011, 3235144326, 4046277638, 840733718, 1694555864, 241216466, 2728337326, 2525929010, 386794637, 349755829, 2959959729, 20820947, 3243688353, 3911051908, 3917458620, 441833800, 4143649787, 584185450, 450132281, 3528356519, 4275666503, 3541347868, 817077137, 2945430988, 1532878265, 2542155552, 3199458552, 1419611574, 1245233100, 1981161828, 1161647342, 958085276, 3896025436, 2349200248, 1213899699, 860301545, 1701089635, 3371591516, 2850926464, 2774569126, 907316453, 1529987826, 3572719697, 278602945, 4257620354, 3396349537, 4120000342, 191271983, 2974056951, 2743594803, 1119054633, 4255116655, 920991498, 187861899, 2008325469, 1548504646, 100038488, 993523345, 1171349070, 4105576982, 1559471848, 2523523381, 2795453957, 3357293755, 4260164297, 2211998873, 3644225670, 2831224398, 1704939914, 2626903427, 1148581053, 1292003378, 4219173763, 694869701, 1297370017, 3573985711, 2510138592, 3680794431, 400850360, 909653264, 1496585542, 1738256576, 828640603, 3993062500, 2145047281, 1587836828, 3478998519, 1234319994, 4276951314, 485282908, 1903750880, 746205619, 3950976882, 3711912938, 3626058764, 627857875, 954627753, 1753727232, 50241405, 206782941, 612110492, 2251018875, 2567547031, 3360482779, 820704062, 412722485, 2120077037, 1915626743, 2703000434, 2755090057, 53587450, 2696843657, 1397065983, 2822294224, 3024827428, 2201149820, 3308142895, 157099022, 2792298089, 3927835437, 1095494739, 730099534, 2740420278, 2518077381, 3674832547, 2375246835, 2126745526, 3665432731, 1577970518, 2643388181, 4050379756, 2987545029, 1632232822, 2365350332, 1126185680, 930842061, 3140947362, 1624573114, 3809118349, 1187817320, 945407897, 1282799903, 1852369563, 971772965, 2229069035, 2320405193, 670134249, 1666937976, 448889887, 3508620909, 4164289950, 127045110, 3157319819, 980080883, 3500794888, 3974907245, 2740953010, 3201604042, 1500342771, 3942535492, 1039809505, 306788856, 3235144326, 4046277638, 840733718, 1694555864, 2260304655, 2728337326, 2525929010, 386794637, 349755829, 3842816805, 20820947, 3243688353, 3911051908, 3917458620, 3398227861, 4143649787, 584185450, 450132281, 3528356519, 550401017, 3541347868, 817077137, 2945430988, 1532878265, 1045681234, 3199458552, 1419611574, 1245233100, 1981161828, 1153297031, 958085276, 3896025436, 2349200248, 1213899699, 1451842347, 1701089635, 3371591516, 2850926464, 2774569126, 1269128107, 1529987826, 3572719697, 278602945, 4257620354, 2479560493, 4120000342, 191271983, 2974056951, 2743594803, 4081110580, 4255116655, 920991498, 187861899, 2008325469, 1300371976, 100038488, 993523345, 1171349070, 4105576982, 3010753279, 2523523381, 2795453957, 3357293755, 4260164297, 207153762, 3644225670, 2831224398, 1704939914, 2626903427, 916783095, 1292003378, 4219173763, 694869701, 1297370017, 3388725608, 2510138592, 3680794431, 400850360, 909653264, 2421730678, 1738256576, 828640603, 3993062500, 2145047281, 2123619770, 3478998519, 1234319994, 4276951314, 485282908, 4002661777, 746205619, 3950976882, 3711912938, 3626058764, 1230937254, 954627753, 1753727232, 50241405, 206782941, 460314337, 2251018875, 2567547031, 3360482779, 820704062, 1339598718, 2120077037, 1915626743, 2703000434, 2755090057, 660730207, 2696843657, 1397065983, 2822294224, 3024827428, 126840648, 3308142895, 157099022, 2792298089, 3927835437, 2192535935, 730099534, 2740420278, 2518077381, 3674832547, 1879512787, 2126745526, 3665432731, 1577970518, 2643388181, 832572764, 2987545029, 1632232822, 2365350332, 1126185680, 3248646182, 3140947362, 1624573114, 3809118349, 1187817320, 4270855000, 1282799903, 1852369563, 971772965, 2229069035, 3735782785, 670134249, 1666937976, 448889887, 3508620909, 3681408470, 127045110, 3157319819, 980080883, 3500794888, 3967872553, 2740953010, 3201604042, 1500342771, 3942535492, 613854690, 306788856, 3235144326, 4046277638, 840733718, 3957877023, 2260304655, 2728337326, 2525929010, 386794637, 1779451936, 3842816805, 20820947, 3243688353, 3911051908, 688470429, 3398227861, 4143649787, 584185450, 450132281, 3381050556, 550401017, 3541347868, 817077137, 2945430988, 1859551669, 1045681234, 3199458552, 1419611574, 1245233100, 53681099, 1153297031, 958085276, 3896025436, 2349200248, 1796144514, 1451842347, 1701089635, 3371591516, 2850926464, 1337394836, 1269128107, 1529987826, 3572719697, 278602945, 46913829, 2479560493, 4120000342, 191271983, 2974056951, 1361976701, 4081110580, 4255116655, 920991498, 187861899, 1237191391, 1300371976, 100038488, 993523345, 1171349070, 3168325479, 3010753279, 2523523381, 2795453957, 3357293755, 2142853843, 207153762, 3644225670, 2831224398, 1704939914, 2369686128, 916783095, 1292003378, 4219173763, 694869701, 4150182218, 3388725608, 2510138592, 3680794431, 400850360, 654034492, 2421730678, 1738256576, 828640603, 3993062500, 84735560, 2123619770, 3478998519, 1234319994, 4276951314, 2545204994, 4002661777, 746205619, 3950976882, 3711912938, 426068544, 1230937254, 954627753, 1753727232, 50241405, 589286339, 460314337, 2251018875, 2567547031, 3360482779, 3279873953, 1339598718, 2120077037, 1915626743, 2703000434, 2720159887, 660730207, 2696843657, 1397065983, 2822294224, 3536645029, 126840648, 3308142895, 157099022, 2792298089, 485214530, 2192535935, 730099534, 2740420278, 2518077381, 418832171, 1879512787, 2126745526, 3665432731, 1577970518, 721018, 832572764, 2987545029, 1632232822, 2365350332, 1769688764, 3248646182, 3140947362, 1624573114, 3809118349, 3561012744, 4270855000, 1282799903, 1852369563, 971772965, 2160782957, 105464019, 2131462864, 335205049, 3271229551, 1374396416, 4269753677, 1984596635, 37563880, 3956352262, 2168603656, 311623712, 1593371323, 351020595, 3439337532, 3130874657, 3613343327, 695789539, 609797513, 53642143, 1479027519, 1588831722, 262810641, 3418379977, 530167431, 1962487963, 2410103328, 3360114680, 3548827677, 2735238248, 2136058369, 4013192489, 4106245442, 2155966460, 3653971354, 1230293148, 3966689348, 3455336684, 3594979856, 3178937309, 3983796170, 3617590004, 1727358326, 1121418876, 1022562029, 2437823131, 2733424381, 452731958, 2983755220, 1674750403, 3110921909, 3514365950, 2193238341, 2073801740, 669573402, 1824298084, 22336337, 3366446304, 1536043612, 2502297553, 1409641611, 2399583184, 2593245170, 716832039, 4286149460, 814849965, 4239224908, 2453627262, 976385355, 1846129423, 52096201, 88835472, 2621770794, 2491757130, 1849417480, 576668065, 2186701850, 3357019214, 442191324, 3662645846, 3653766782, 2254203663, 1169821059, 3735427676, 2246044748, 2635264668, 2647842566, 1435695450, 1658777934, 2927080369, 1341088646, 3565982642, 221661496, 3246988243, 2718455491, 483517148, 4181332651, 1143646375, 1720449423, 331164544, 539836322, 3485371630, 1110077273, 4088985694, 145720169, 2382276586, 4276410795, 2051956774, 936524156, 15415192, 1815949694, 272696290, 1495465483, 3102030383, 3546078241, 3272619595, 759699322, 1161486824, 1146281812, 4194130649, 3936306436, 4077338125, 2127551216, 2995077453, 209698652, 3836657987, 1782152220, 1642490089, 3695579542, 537862234, 1696168156, 4022607, 3642864269, 54404878, 2925910542, 3444042482, 1931288691, 2269375687, 614870298, 1139082272, 3672546472, 3255845763, 2987873616, 3436501734, 380553853, 750118352, 750708138, 488564982, 2936846643, 3460652101, 3085496886, 3734224010, 523359404, 2751912206, 3302219188, 2729509827, 1995554251, 2288103059, 3289667468, 2860301591, }, { 3481653941, 2111903071, 3569014882, 1149634763, 4206972571, 2948781360, 2576820949, 2587099571, 3987042644, 4255777336, 2829594348, 3832744490, 3554499754, 787920018, 695635693, 2746034685, 2078139227, 1144320548, 4020978225, 449503505, 3004993826, 2045843139, 1604631401, 148449881, 457819243, 4089112489, 1713441237, 1790909556, 3334464951, 3070008305, 811825474, 4089105370, 708239097, 1494832299, 2074902973, 468898217, 1722559700, 2499754488, 2267939270, 650114709, 549502184, 4040463514, 4228169080, 4094284819, 1599334548, 2992525399, 2107053637, 197348940, 1669884894, 3982326753, 4259099320, 1862793542, 1751219817, 2701271514, 2507353222, 1488339939, 4246544316, 3978321870, 132720476, 3020305599, 154822619, 2595474066, 1654579304, 1997335204, 891320674, 3153502700, 601607977, 2695457160, 4137981809, 37584248, 1674050253, 1805619463, 676369068, 2294902904, 658143166, 141452045, 2383327493, 1222336195, 2628962123, 2378299402, 2724274090, 1783957650, 453206569, 3190116972, 1480368955, 1145768764, 3628222572, 3108689607, 182547022, 360165920, 3378423016, 1443723222, 2843274258, 1597581683, 664283285, 258077235, 3071875976, 240688930, 988895736, 2965351284, 91332032, 941306162, 2464278288, 3493666272, 2437043750, 2356658919, 24726067, 3025656863, 1343636659, 2408295270, 3097408183, 461428710, 2449005423, 3220070834, 1418517867, 907095008, 428073188, 1938061314, 2094361729, 2570445990, 346999411, 990247709, 1630488660, 2574142591, 1466590284, 1906935236, 1592544037, 4168163186, 2773942807, 939392801, 1610069434, 1935303983, 2962954128, 2490925509, 4103025390, 3614258069, 174125899, 4113855120, 2449365101, 3384244363, 4115219971, 3187664453, 4021992190, 2959372973, 2946571025, 2144945539, 388172915, 1125615727, 881693338, 3313110562, 859388069, 177786360, 4134747901, 616417204, 2104495620, 783302897, 512784708, 1295821322, 3810209448, 2966899912, 2390608767, 3481653941, 2111903071, 3569014882, 1149634763, 1385372463, 2948781360, 2576820949, 2587099571, 3987042644, 2251144849, 2829594348, 3832744490, 3554499754, 787920018, 73007125, 2746034685, 2078139227, 1144320548, 4020978225, 2729117517, 3004993826, 2045843139, 1604631401, 148449881, 3343221736, 4089112489, 1713441237, 1790909556, 3334464951, 1920962856, 811825474, 4089105370, 708239097, 1494832299, 2485576001, 468898217, 1722559700, 2499754488, 2267939270, 2271486862, 549502184, 4040463514, 4228169080, 4094284819, 3177940420, 2992525399, 2107053637, 197348940, 1669884894, 3596140613, 4259099320, 1862793542, 1751219817, 2701271514, 1357847339, 1488339939, 4246544316, 3978321870, 132720476, 344033794, 154822619, 2595474066, 1654579304, 1997335204, 1849659590, 3153502700, 601607977, 2695457160, 4137981809, 3559496104, 1674050253, 1805619463, 676369068, 2294902904, 1583197657, 141452045, 2383327493, 1222336195, 2628962123, 3486106126, 2724274090, 1783957650, 453206569, 3190116972, 1939413704, 1145768764, 3628222572, 3108689607, 182547022, 2911760834, 3378423016, 1443723222, 2843274258, 1597581683, 3599911248, 258077235, 3071875976, 240688930, 988895736, 4263328855, 91332032, 941306162, 2464278288, 3493666272, 1561559932, 2356658919, 24726067, 3025656863, 1343636659, 257301433, 3097408183, 461428710, 2449005423, 3220070834, 3544357262, 907095008, 428073188, 1938061314, 2094361729, 4112109825, 346999411, 990247709, 1630488660, 2574142591, 1466763688, 1906935236, 1592544037, 4168163186, 2773942807, 3608227467, 1610069434, 1935303983, 2962954128, 2490925509, 825197245, 3614258069, 174125899, 4113855120, 2449365101, 167881680, 4115219971, 3187664453, 4021992190, 2959372973, 1971633162, 2144945539, 388172915, 1125615727, 881693338, 223946687, 859388069, 177786360, 4134747901, 616417204, 722598357, 783302897, 512784708, 1295821322, 3810209448, 1589703161, 2390608767, 3481653941, 2111903071, 3569014882, 2520719089, 1385372463, 2948781360, 2576820949, 2587099571, 1427210741, 2251144849, 2829594348, 3832744490, 3554499754, 1257461820, 73007125, 2746034685, 2078139227, 1144320548, 3065859797, 2729117517, 3004993826, 2045843139, 1604631401, 36092756, 3343221736, 4089112489, 1713441237, 1790909556, 1504385586, 1920962856, 811825474, 4089105370, 708239097, 4135459720, 2485576001, 468898217, 1722559700, 2499754488, 1392696606, 2271486862, 549502184, 4040463514, 4228169080, 2521060775, 3177940420, 2992525399, 2107053637, 197348940, 4225425195, 3596140613, 4259099320, 1862793542, 1751219817, 3752827533, 1357847339, 1488339939, 4246544316, 3978321870, 270743120, 344033794, 154822619, 2595474066, 1654579304, 986127123, 1849659590, 3153502700, 601607977, 2695457160, 437034992, 3559496104, 1674050253, 1805619463, 676369068, 956939381, 1583197657, 141452045, 2383327493, 1222336195, 3287498300, 3486106126, 2724274090, 1783957650, 453206569, 3610364652, 1939413704, 1145768764, 3628222572, 3108689607, 708259891, 2911760834, 3378423016, 1443723222, 2843274258, 1498209005, 3599911248, 258077235, 3071875976, 240688930, 3815218922, 4263328855, 91332032, 941306162, 2464278288, 3018835600, 1561559932, 2356658919, 24726067, 3025656863, 368313673, 257301433, 3097408183, 461428710, 2449005423, 3690066046, 3544357262, 907095008, 428073188, 1938061314, 2274317748, 4112109825, 346999411, 990247709, 1630488660, 1584471638, 1466763688, 1906935236, 1592544037, 4168163186, 473837206, 3608227467, 1610069434, 1935303983, 2962954128, 391171548, 825197245, 3614258069, 174125899, 4113855120, 2095676907, 167881680, 4115219971, 3187664453, 4021992190, 4246237180, 1971633162, 2144945539, 388172915, 1125615727, 3158677395, 223946687, 859388069, 177786360, 4134747901, 4017781965, 722598357, 783302897, 512784708, 1295821322, 3908594844, 1589703161, 2390608767, 3481653941, 2111903071, 2713757719, 2520719089, 1385372463, 2948781360, 2576820949, 638075690, 1427210741, 2251144849, 2829594348, 3832744490, 2871270139, 1257461820, 73007125, 2746034685, 2078139227, 1974062189, 3065859797, 2729117517, 3004993826, 2045843139, 772058252, 36092756, 3343221736, 4089112489, 1713441237, 2172680702, 1504385586, 1920962856, 811825474, 4089105370, 1822881146, 4135459720, 2485576001, 468898217, 1722559700, 3429640856, 1392696606, 2271486862, 549502184, 4040463514, 3072935276, 2521060775, 3177940420, 2992525399, 2107053637, 1114377646, 4225425195, 3596140613, 4259099320, 1862793542, 1439724658, 3752827533, 1357847339, 1488339939, 4246544316, 1051119047, 270743120, 344033794, 154822619, 2595474066, 3143800435, 986127123, 1849659590, 3153502700, 601607977, 2334441739, 437034992, 3559496104, 1674050253, 1805619463, 455274178, 956939381, 1583197657, 141452045, 2383327493, 1520979444, 3287498300, 3486106126, 2724274090, 1783957650, 2212706740, 3610364652, 1939413704, 1145768764, 3628222572, 2719501850, 708259891, 2911760834, 3378423016, 1443723222, 2678486648, 1498209005, 3599911248, 258077235, 3071875976, 513762712, 3815218922, 4263328855, 91332032, 941306162, 3000922309, 3018835600, 1561559932, 2356658919, 24726067, 3626352172, 368313673, 257301433, 3097408183, 461428710, 2370224855, 3690066046, 3544357262, 907095008, 428073188, 2279237523, 2274317748, 4112109825, 346999411, 990247709, 896290404, 1584471638, 1466763688, 1906935236, 1592544037, 2387522308, 473837206, 3608227467, 1610069434, 1935303983, 4120978868, 391171548, 825197245, 3614258069, 174125899, 2940674123, 2095676907, 167881680, 4115219971, 3187664453, 456143482, 4246237180, 1971633162, 2144945539, 388172915, 4041481385, 3158677395, 223946687, 859388069, 177786360, 3094936989, 4017781965, 722598357, 783302897, 512784708, 4078350595, 2002159085, 3374931831, 1327513052, 4231642441, 2398594140, 2750176655, 2377078716, 3051451207, 2923556938, 392203913, 970480700, 1611278056, 1212903807, 85815670, 2398261756, 1052760308, 175807153, 2617028873, 1862087601, 1824020594, 3770624867, 141863380, 2090619424, 3994019338, 2363183556, 3095139522, 1792884692, 3026343485, 2320955816, 145789343, 214170401, 2926373126, 3858640613, 2188241463, 459887603, 2117474937, 2514234285, 1454156613, 1675396814, 4188979068, 1584843874, 3594779833, 563029256, 28681425, 446949770, 3498545218, 435874305, 3448653884, 863509898, 2247299904, 4211345429, 971855563, 1475394960, 3401692834, 167361776, 496249436, 1465278889, 780336162, 2108770597, 1806981510, 3677875653, 1890122303, 16399665, 2747394159, 2098019492, 1597583332, 1763649529, 1286079969, 1846278877, 1016796923, 959676917, 3091540766, 1626192266, 780987350, 1102963422, 2507002232, 691766944, 193328868, 981596600, 2384820612, 3149668778, 1691569420, 2852237957, 893819979, 2572584243, 216077070, 1267249886, 2572508880, 1706489454, 2391561733, 2608477467, 209783612, 765896849, 3617020328, 3488800100, 2237655981, 2095308189, 963275857, 3563488318, 1865487834, 480006810, 18562439, 1025913188, 3368592397, 374648713, 2421713724, 2705651398, 3098059650, 1109934605, 3085839620, 3184266772, 2359972463, 862934481, 3624479194, 3574284465, 2700143837, 2468083868, 3798800988, 4116964911, 1832002264, 4276154871, 3256889524, 4036954281, 697729046, 886223984, 2196986730, 1157617208, 1995907944, 398452318, 3523714364, 613570866, 2962430983, 1408814780, 892117129, 4173164219, 3894076479, 2721348430, 555734931, 1869034419, 336114876, 3142554871, 3349604636, 3450290892, 955122895, 2202902910, 2558366468, 1701182712, 283197682, 1865942385, 2027648778, 2285857699, 880475184, 958651279, 169534250, 3842420528, 1568559789, 2986618464, 2568345525, 3081082692, }, { 575494427, 2773243709, 4009191487, 3877909663, 2252044261, 1328043370, 1407136778, 3204434425, 3881653592, 1481049819, 2939203697, 889352935, 628666312, 165199023, 2949092155, 1116804589, 998930334, 4144153491, 4191022348, 9022505, 4033326555, 2329569601, 824756145, 3501916851, 1481410328, 1970954319, 4022176157, 2356841052, 3783173734, 3649102345, 3205430658, 1460938436, 280282398, 3262135457, 4055383786, 28522973, 1100901182, 4048609665, 994490185, 2888527367, 3591919750, 65093467, 399797207, 3377740861, 3103183487, 3696509979, 866353724, 3847992271, 2821933890, 1491144079, 1702442928, 1271285504, 636444475, 2465430290, 2440306765, 2651443172, 2895101023, 43843628, 518479547, 3708355608, 2313400729, 3786408564, 2823763904, 3267560272, 524168411, 2580824843, 2687886610, 785942949, 2624395631, 3713348903, 4104123478, 2234056629, 2683158959, 1805382347, 1645702909, 382688861, 2843792951, 39122499, 2765954033, 3033237617, 784228054, 1680611136, 2306036746, 892707919, 3825738103, 1289362844, 3462989616, 484526950, 178560970, 1863413515, 71290794, 1716785670, 3881310302, 2826977504, 2312744076, 1000001815, 1580868938, 3808984884, 2521899773, 738699928, 2244576791, 1833964269, 1361345793, 2934763305, 2944705940, 2334116476, 674208214, 587191877, 271361277, 1639419136, 2742744205, 2556530506, 3764115510, 861410771, 3473658359, 2879790483, 1497452846, 1101855458, 2268199923, 1766359872, 480532790, 2926891626, 1366888524, 2262816900, 620045088, 2279182738, 2479688463, 427385986, 271096497, 1999040724, 1980388138, 3104550456, 2496325717, 2941450111, 1784373495, 4020221165, 2567325850, 2636190539, 2764516078, 2285887821, 2395930109, 1867061176, 665795763, 3869868300, 4033135159, 2589983679, 682593183, 1254600537, 1701095863, 3738080583, 369734429, 2231641462, 1866531599, 1317004965, 466053171, 2320346625, 485850108, 1279183025, 423884362, 1878291714, 228799661, 575494427, 2773243709, 4009191487, 3877909663, 1392246100, 1328043370, 1407136778, 3204434425, 3881653592, 303018213, 2939203697, 889352935, 628666312, 165199023, 691563049, 1116804589, 998930334, 4144153491, 4191022348, 2882458100, 4033326555, 2329569601, 824756145, 3501916851, 3512382126, 1970954319, 4022176157, 2356841052, 3783173734, 3277915742, 3205430658, 1460938436, 280282398, 3262135457, 416160861, 28522973, 1100901182, 4048609665, 994490185, 2206150488, 3591919750, 65093467, 399797207, 3377740861, 3954301001, 3696509979, 866353724, 3847992271, 2821933890, 482325742, 1702442928, 1271285504, 636444475, 2465430290, 476965483, 2651443172, 2895101023, 43843628, 518479547, 2354104222, 2313400729, 3786408564, 2823763904, 3267560272, 1682576095, 2580824843, 2687886610, 785942949, 2624395631, 3219885224, 4104123478, 2234056629, 2683158959, 1805382347, 4143809855, 382688861, 2843792951, 39122499, 2765954033, 2870716981, 784228054, 1680611136, 2306036746, 892707919, 2648492467, 1289362844, 3462989616, 484526950, 178560970, 3047404165, 71290794, 1716785670, 3881310302, 2826977504, 2439325884, 1000001815, 1580868938, 3808984884, 2521899773, 2222792732, 2244576791, 1833964269, 1361345793, 2934763305, 655108124, 2334116476, 674208214, 587191877, 271361277, 1403491312, 2742744205, 2556530506, 3764115510, 861410771, 2748819627, 2879790483, 1497452846, 1101855458, 2268199923, 2646753562, 480532790, 2926891626, 1366888524, 2262816900, 691077353, 2279182738, 2479688463, 427385986, 271096497, 357444234, 1980388138, 3104550456, 2496325717, 2941450111, 717953620, 4020221165, 2567325850, 2636190539, 2764516078, 588189150, 2395930109, 1867061176, 665795763, 3869868300, 2245339306, 2589983679, 682593183, 1254600537, 1701095863, 3193417815, 369734429, 2231641462, 1866531599, 1317004965, 1295326133, 2320346625, 485850108, 1279183025, 423884362, 1310342080, 228799661, 575494427, 2773243709, 4009191487, 3178129190, 1392246100, 1328043370, 1407136778, 3204434425, 558594993, 303018213, 2939203697, 889352935, 628666312, 3995857198, 691563049, 1116804589, 998930334, 4144153491, 2375099047, 2882458100, 4033326555, 2329569601, 824756145, 3031828205, 3512382126, 1970954319, 4022176157, 2356841052, 1599294097, 3277915742, 3205430658, 1460938436, 280282398, 2438973535, 416160861, 28522973, 1100901182, 4048609665, 2989609671, 2206150488, 3591919750, 65093467, 399797207, 183644195, 3954301001, 3696509979, 866353724, 3847992271, 1244421011, 482325742, 1702442928, 1271285504, 636444475, 3659422961, 476965483, 2651443172, 2895101023, 43843628, 2230230933, 2354104222, 2313400729, 3786408564, 2823763904, 4146329709, 1682576095, 2580824843, 2687886610, 785942949, 126345381, 3219885224, 4104123478, 2234056629, 2683158959, 1734650983, 4143809855, 382688861, 2843792951, 39122499, 3527484969, 2870716981, 784228054, 1680611136, 2306036746, 1606477743, 2648492467, 1289362844, 3462989616, 484526950, 3730796296, 3047404165, 71290794, 1716785670, 3881310302, 4233965062, 2439325884, 1000001815, 1580868938, 3808984884, 1228341642, 2222792732, 2244576791, 1833964269, 1361345793, 3313812192, 655108124, 2334116476, 674208214, 587191877, 1531247446, 1403491312, 2742744205, 2556530506, 3764115510, 2419989900, 2748819627, 2879790483, 1497452846, 1101855458, 1430402656, 2646753562, 480532790, 2926891626, 1366888524, 1848714433, 691077353, 2279182738, 2479688463, 427385986, 3906690631, 357444234, 1980388138, 3104550456, 2496325717, 2272350403, 717953620, 4020221165, 2567325850, 2636190539, 1950604113, 588189150, 2395930109, 1867061176, 665795763, 1735147895, 2245339306, 2589983679, 682593183, 1254600537, 1518037357, 3193417815, 369734429, 2231641462, 1866531599, 1751783137, 1295326133, 2320346625, 485850108, 1279183025, 149835864, 1310342080, 228799661, 575494427, 2773243709, 1505829825, 3178129190, 1392246100, 1328043370, 1407136778, 856233019, 558594993, 303018213, 2939203697, 889352935, 625515593, 3995857198, 691563049, 1116804589, 998930334, 3264640128, 2375099047, 2882458100, 4033326555, 2329569601, 1824812377, 3031828205, 3512382126, 1970954319, 4022176157, 3682468973, 1599294097, 3277915742, 3205430658, 1460938436, 2034940270, 2438973535, 416160861, 28522973, 1100901182, 3534874298, 2989609671, 2206150488, 3591919750, 65093467, 2231373121, 183644195, 3954301001, 3696509979, 866353724, 1479968372, 1244421011, 482325742, 1702442928, 1271285504, 3834022401, 3659422961, 476965483, 2651443172, 2895101023, 1042443120, 2230230933, 2354104222, 2313400729, 3786408564, 2940290545, 4146329709, 1682576095, 2580824843, 2687886610, 895602439, 126345381, 3219885224, 4104123478, 2234056629, 3633565082, 1734650983, 4143809855, 382688861, 2843792951, 3076342354, 3527484969, 2870716981, 784228054, 1680611136, 3667923304, 1606477743, 2648492467, 1289362844, 3462989616, 1338592032, 3730796296, 3047404165, 71290794, 1716785670, 995728648, 4233965062, 2439325884, 1000001815, 1580868938, 1245957136, 1228341642, 2222792732, 2244576791, 1833964269, 2899552190, 3313812192, 655108124, 2334116476, 674208214, 1154789946, 1531247446, 1403491312, 2742744205, 2556530506, 1668620496, 2419989900, 2748819627, 2879790483, 1497452846, 177853954, 1430402656, 2646753562, 480532790, 2926891626, 3179057526, 1848714433, 691077353, 2279182738, 2479688463, 1988854710, 3906690631, 357444234, 1980388138, 3104550456, 1772857305, 2272350403, 717953620, 4020221165, 2567325850, 3129906484, 1950604113, 588189150, 2395930109, 1867061176, 2248975336, 1735147895, 2245339306, 2589983679, 682593183, 3087155398, 1518037357, 3193417815, 369734429, 2231641462, 1858424931, 1751783137, 1295326133, 2320346625, 485850108, 2471611230, 107369761, 2623559579, 4256589070, 2365810185, 907910243, 3901832478, 2068079364, 2072842987, 401440347, 1707255913, 1450112231, 2618898012, 600446000, 788321632, 4119629235, 2648781584, 1927659116, 171372782, 1789511950, 2648296999, 3558619514, 1819608632, 1392007708, 2918513974, 2270003900, 784021820, 1379044539, 591935962, 1638390839, 10832053, 3946625290, 2916913801, 2718331169, 1595482738, 1294279402, 19889234, 1374364843, 571354125, 3357938719, 2337506269, 905453029, 2504232400, 258673393, 2590342355, 3308443353, 3359617898, 2686453711, 932545954, 509832408, 820508114, 431186194, 3434866166, 1108455121, 2802986572, 893446102, 3248197798, 1797985531, 3952804303, 558601278, 1813674114, 311050994, 425175161, 1125527204, 1597986581, 2282580210, 1659733126, 2080660004, 4121079137, 3373787661, 1902252724, 2669993847, 2450915273, 2155525933, 2139535914, 274595185, 1890506924, 2631794527, 1423530517, 4027031002, 1085427968, 2402514206, 3591455043, 2513094696, 2338347202, 1168222597, 3922339535, 3991725466, 2774598759, 3478721168, 3676766916, 179748891, 2911159372, 191101265, 3389843262, 3093358663, 2333576084, 1056514165, 2987497874, 2502331872, 2027710028, 2338525812, 3904906078, 806669884, 596300960, 1993055778, 1541809402, 3578865742, 652348267, 3332532764, 2656602623, 2037214047, 323260312, 3310408133, 4037617529, 137297627, 1236501991, 495817051, 481150309, 3067841968, 3120347176, 714354848, 1554632062, 2522324107, 4274051212, 2180914534, 1261686356, 3569290041, 1801431819, 4286755560, 2749452442, 829235089, 2243153325, 2525168177, 1486881882, 585653228, 3288336688, 2734161045, 30430534, 714492313, 2582732426, 595577790, 1463554287, 1949506865, 4210942156, 2008105540, 4055753132, 2530320603, 319064177, 2305067982, 3825716413, 1543867515, 108979478, 3089716545, 2921391708, 2403595525, 3783697766, 2313991047, 3302598706, 1318323763, }, { 1470380360, 3057428612, 2756676297, 1633786556, 4246459918, 2557524017, 1857180133, 618903690, 2475611092, 2621430634, 2084292404, 1698607774, 1788956972, 3375072220, 1499167056, 1218814632, 3699503479, 588281768, 3603925285, 1187721841, 1307962320, 2562217840, 3882506958, 2387033730, 2097027049, 1593669125, 1899433035, 4039983902, 1546854551, 1073191673, 3368453769, 3074694838, 534637095, 1860006723, 3416402670, 802354899, 3998709605, 3944315555, 3454226397, 1648185195, 488532673, 3063734121, 1318974867, 187087202, 200160693, 4170479404, 782764886, 4007973657, 1651636372, 3084151528, 2085263921, 2424937940, 230704223, 3342587983, 1093085714, 683877298, 3635026316, 3839461209, 2977567556, 3947448199, 3767172681, 1350679624, 3541409523, 3975162472, 2459379316, 3287828387, 1565768431, 3149625429, 1328627497, 2156355750, 112739894, 4052025045, 1396839113, 212349044, 110706825, 2185320852, 2540909191, 2129623107, 3515174750, 2669147508, 1243549180, 3996575850, 149304348, 2755670869, 930137412, 350687475, 1512442864, 3764389325, 3489308665, 276147411, 2268414314, 30674096, 3202650841, 3446821592, 3341145621, 3749209259, 674361204, 1384681012, 2716655878, 454169262, 289282175, 966029495, 3052791893, 3111969089, 1151599976, 3620936019, 1877909034, 1953262994, 4240669039, 1857402256, 3337397349, 2392730459, 1158928694, 1757447952, 2682284750, 2796982914, 1203210173, 797579212, 1645601877, 3579805998, 797556690, 4106236617, 1379943929, 129105346, 3950170317, 723231430, 88997404, 2591283275, 359831168, 306903531, 1987846974, 2654779951, 3724360049, 1693615498, 1095306415, 3586751806, 2045807380, 2779363615, 2912940562, 1557518560, 3620536996, 1723152132, 4087191232, 1042907094, 3210303305, 1536493323, 4094765090, 575328723, 359319532, 2458971265, 3159207510, 387883436, 2521400838, 2359639886, 261289463, 2094643916, 2269112547, 2387198764, 3619233779, 3019052785, 2910774311, 1470380360, 3057428612, 2756676297, 1633786556, 386502519, 2557524017, 1857180133, 618903690, 2475611092, 30080431, 2084292404, 1698607774, 1788956972, 3375072220, 1158684464, 1218814632, 3699503479, 588281768, 3603925285, 238328161, 1307962320, 2562217840, 3882506958, 2387033730, 3010587639, 1593669125, 1899433035, 4039983902, 1546854551, 4192218972, 3368453769, 3074694838, 534637095, 1860006723, 652336168, 802354899, 3998709605, 3944315555, 3454226397, 1926499185, 488532673, 3063734121, 1318974867, 187087202, 1106075322, 4170479404, 782764886, 4007973657, 1651636372, 2404132022, 2085263921, 2424937940, 230704223, 3342587983, 918664020, 683877298, 3635026316, 3839461209, 2977567556, 1943458501, 3767172681, 1350679624, 3541409523, 3975162472, 276593262, 3287828387, 1565768431, 3149625429, 1328627497, 1428675465, 112739894, 4052025045, 1396839113, 212349044, 4056830215, 2185320852, 2540909191, 2129623107, 3515174750, 1542171596, 1243549180, 3996575850, 149304348, 2755670869, 3578672658, 350687475, 1512442864, 3764389325, 3489308665, 1546094236, 2268414314, 30674096, 3202650841, 3446821592, 2954172575, 3749209259, 674361204, 1384681012, 2716655878, 3784818668, 289282175, 966029495, 3052791893, 3111969089, 4157356036, 3620936019, 1877909034, 1953262994, 4240669039, 558548232, 3337397349, 2392730459, 1158928694, 1757447952, 2764253876, 2796982914, 1203210173, 797579212, 1645601877, 1754284241, 797556690, 4106236617, 1379943929, 129105346, 1072954804, 723231430, 88997404, 2591283275, 359831168, 3790749526, 1987846974, 2654779951, 3724360049, 1693615498, 529478744, 3586751806, 2045807380, 2779363615, 2912940562, 3883779003, 3620536996, 1723152132, 4087191232, 1042907094, 2510614710, 1536493323, 4094765090, 575328723, 359319532, 4185709932, 3159207510, 387883436, 2521400838, 2359639886, 143795416, 2094643916, 2269112547, 2387198764, 3619233779, 2856133500, 2910774311, 1470380360, 3057428612, 2756676297, 1184346658, 386502519, 2557524017, 1857180133, 618903690, 113530176, 30080431, 2084292404, 1698607774, 1788956972, 1446640841, 1158684464, 1218814632, 3699503479, 588281768, 145530757, 238328161, 1307962320, 2562217840, 3882506958, 2145494995, 3010587639, 1593669125, 1899433035, 4039983902, 1668183055, 4192218972, 3368453769, 3074694838, 534637095, 1759744354, 652336168, 802354899, 3998709605, 3944315555, 3058692249, 1926499185, 488532673, 3063734121, 1318974867, 728549366, 1106075322, 4170479404, 782764886, 4007973657, 3270440405, 2404132022, 2085263921, 2424937940, 230704223, 3329510499, 918664020, 683877298, 3635026316, 3839461209, 79335966, 1943458501, 3767172681, 1350679624, 3541409523, 925084463, 276593262, 3287828387, 1565768431, 3149625429, 3775346659, 1428675465, 112739894, 4052025045, 1396839113, 865124022, 4056830215, 2185320852, 2540909191, 2129623107, 408329043, 1542171596, 1243549180, 3996575850, 149304348, 3549625626, 3578672658, 350687475, 1512442864, 3764389325, 2745315161, 1546094236, 2268414314, 30674096, 3202650841, 1591955495, 2954172575, 3749209259, 674361204, 1384681012, 4064148122, 3784818668, 289282175, 966029495, 3052791893, 1370867977, 4157356036, 3620936019, 1877909034, 1953262994, 4021792514, 558548232, 3337397349, 2392730459, 1158928694, 3155295174, 2764253876, 2796982914, 1203210173, 797579212, 3928348491, 1754284241, 797556690, 4106236617, 1379943929, 535801204, 1072954804, 723231430, 88997404, 2591283275, 3834650337, 3790749526, 1987846974, 2654779951, 3724360049, 1042046499, 529478744, 3586751806, 2045807380, 2779363615, 1125934487, 3883779003, 3620536996, 1723152132, 4087191232, 234512721, 2510614710, 1536493323, 4094765090, 575328723, 3997395999, 4185709932, 3159207510, 387883436, 2521400838, 3125399953, 143795416, 2094643916, 2269112547, 2387198764, 652167990, 2856133500, 2910774311, 1470380360, 3057428612, 2132157457, 1184346658, 386502519, 2557524017, 1857180133, 4131611047, 113530176, 30080431, 2084292404, 1698607774, 391246724, 1446640841, 1158684464, 1218814632, 3699503479, 2411874184, 145530757, 238328161, 1307962320, 2562217840, 2812151676, 2145494995, 3010587639, 1593669125, 1899433035, 2422208371, 1668183055, 4192218972, 3368453769, 3074694838, 2148785858, 1759744354, 652336168, 802354899, 3998709605, 1781938823, 3058692249, 1926499185, 488532673, 3063734121, 3539633540, 728549366, 1106075322, 4170479404, 782764886, 2780824417, 3270440405, 2404132022, 2085263921, 2424937940, 1908513596, 3329510499, 918664020, 683877298, 3635026316, 2918953355, 79335966, 1943458501, 3767172681, 1350679624, 341369607, 925084463, 276593262, 3287828387, 1565768431, 1957429498, 3775346659, 1428675465, 112739894, 4052025045, 1847440090, 865124022, 4056830215, 2185320852, 2540909191, 3477402775, 408329043, 1542171596, 1243549180, 3996575850, 179432054, 3549625626, 3578672658, 350687475, 1512442864, 2118138924, 2745315161, 1546094236, 2268414314, 30674096, 2317064191, 1591955495, 2954172575, 3749209259, 674361204, 3286542168, 4064148122, 3784818668, 289282175, 966029495, 1327408800, 1370867977, 4157356036, 3620936019, 1877909034, 405707683, 4021792514, 558548232, 3337397349, 2392730459, 3244675609, 3155295174, 2764253876, 2796982914, 1203210173, 2274948223, 3928348491, 1754284241, 797556690, 4106236617, 2665938417, 535801204, 1072954804, 723231430, 88997404, 3006584290, 3834650337, 3790749526, 1987846974, 2654779951, 4271242910, 1042046499, 529478744, 3586751806, 2045807380, 2283867237, 1125934487, 3883779003, 3620536996, 1723152132, 1761178713, 234512721, 2510614710, 1536493323, 4094765090, 2361030279, 3997395999, 4185709932, 3159207510, 387883436, 3979684113, 3125399953, 143795416, 2094643916, 2269112547, 1499026790, 2673871071, 3817604600, 2996498142, 1211396713, 4016438754, 992969238, 2196610884, 1333868752, 2722471337, 2178395143, 533478044, 291720336, 3552502714, 1060260388, 1389737501, 3508724089, 3106493936, 2013154532, 3169850047, 3773175439, 3604033115, 4234678017, 2903156223, 3832188501, 2874956773, 4283805552, 3664062691, 1974738248, 925764827, 1750660924, 141239116, 3273085573, 2427940522, 1962727892, 2493949152, 1043482688, 2345076260, 2209086707, 3642865193, 3119873884, 571850463, 1599484831, 76923002, 3077572436, 4086821865, 1523654720, 480304732, 476538774, 2169116383, 4033618691, 2819753414, 2856326003, 747450871, 1851448547, 713503330, 3709263622, 781002495, 1968749577, 2933719965, 4057398020, 3406593497, 689436820, 2935729647, 2030357428, 2075940397, 1830631914, 1093330800, 1706624613, 1805612947, 4257097124, 3233604448, 159450674, 1050507045, 566046625, 2253420120, 904902042, 1830037922, 4081490982, 1427186514, 2535536470, 3869316947, 4097476542, 930420754, 2519255367, 49908928, 454325685, 888118139, 3453892181, 1263601461, 1236190782, 674943665, 1648077470, 429399730, 2904879506, 3718410520, 1802183310, 1872553091, 605480672, 774749173, 3200570514, 181210046, 2560898144, 3947027625, 1535243167, 324801283, 4234744788, 746560316, 2456297875, 3925756080, 533997731, 3919796086, 662975152, 864661066, 1070894403, 1020445801, 1511298602, 4221508348, 3577952702, 4122306502, 2012051572, 1616168260, 2456901413, 2717726537, 840264605, 2687215223, 2174960097, 1239122603, 2890231920, 3365350767, 3998868598, 563137220, 893868530, 3400632172, 1538627830, 2812510298, 496662288, 2317289974, 2252393722, 1221289032, 2418100559, 402670890, 1528570045, 3160531718, 1806492066, 3211663975, 3617025598, 3664580463, 1338638297, 341637330, 2097019728, 4031221207, 503636424, 3883416740, 1530237682, 1152125396, 2845384901, 332460372, 457364876, 1738239808, }, { 1118787884, 1884590246, 1007052798, 3717680750, 1609263052, 2486654530, 2761168910, 163554565, 3928803020, 2632714628, 1386788970, 2621928183, 2855206157, 2989018213, 1836814260, 4197635108, 1030118238, 2789863793, 2063944689, 1647608366, 255485979, 3657534664, 1317185871, 2410074449, 3971156607, 907575923, 4132859581, 416269582, 877554291, 633895348, 2236014545, 992386759, 3971362318, 2173597771, 1673339632, 1371742490, 2033574313, 3809530180, 319182848, 1562235776, 463522324, 1482338913, 1816432405, 3278626272, 1335179249, 171265751, 2249118654, 1153849045, 3013179633, 1450352108, 1267908572, 1138658121, 623675874, 3608469129, 978093004, 1283228910, 1810859539, 1179125634, 2939039286, 3862213960, 1168357273, 376788629, 314507445, 219039712, 463080619, 2994990779, 1035692306, 2228303916, 1280244913, 1965417315, 1815095408, 939691799, 3080056566, 3741305118, 1495905100, 65327713, 3884301346, 2536445014, 1503280354, 3398924419, 3678532805, 2616964783, 3168581019, 3553322118, 3023259169, 480342712, 451634742, 3562778450, 1943708078, 660077747, 434714388, 2369278293, 2894425895, 1919542250, 2469130567, 551196237, 4193980239, 2952382875, 3311173667, 2856797012, 2845888917, 1669184098, 3928626091, 2491577076, 3719464032, 2151963814, 3474431449, 3971510537, 3695841119, 2215238146, 3668152847, 1974578319, 2328185090, 2096356935, 3973692455, 3954842437, 422675402, 477894725, 3398641827, 1366451030, 1354642198, 3029840461, 35700837, 2937170986, 1336296570, 3508313874, 587724229, 2051237478, 3539754304, 1946154432, 2463932452, 144772179, 353408424, 3493806256, 3782958493, 1957797444, 228084488, 192277278, 3612092522, 2235069734, 467407503, 3391861572, 847810786, 1838763654, 2272109211, 3018265496, 4249218445, 1722760791, 3484353162, 3906437663, 4208966227, 2352549740, 714311566, 1346246305, 2865157059, 2989587005, 3946819548, 3109244860, 3885124598, 3314346978, 952826829, 1118787884, 1884590246, 1007052798, 3717680750, 1521451317, 2486654530, 2761168910, 163554565, 3928803020, 2299046195, 1386788970, 2621928183, 2855206157, 2989018213, 3048269905, 4197635108, 1030118238, 2789863793, 2063944689, 1814057352, 255485979, 3657534664, 1317185871, 2410074449, 4041610788, 907575923, 4132859581, 416269582, 877554291, 2338964683, 2236014545, 992386759, 3971362318, 2173597771, 579340117, 1371742490, 2033574313, 3809530180, 319182848, 3090313228, 463522324, 1482338913, 1816432405, 3278626272, 2418220643, 171265751, 2249118654, 1153849045, 3013179633, 2738647190, 1267908572, 1138658121, 623675874, 3608469129, 3096087202, 1283228910, 1810859539, 1179125634, 2939039286, 2601862091, 1168357273, 376788629, 314507445, 219039712, 1174181426, 2994990779, 1035692306, 2228303916, 1280244913, 752017703, 1815095408, 939691799, 3080056566, 3741305118, 126135654, 65327713, 3884301346, 2536445014, 1503280354, 955981361, 3678532805, 2616964783, 3168581019, 3553322118, 3772187171, 480342712, 451634742, 3562778450, 1943708078, 1466950454, 434714388, 2369278293, 2894425895, 1919542250, 317862862, 551196237, 4193980239, 2952382875, 3311173667, 12728591, 2845888917, 1669184098, 3928626091, 2491577076, 2742989641, 2151963814, 3474431449, 3971510537, 3695841119, 1005662613, 3668152847, 1974578319, 2328185090, 2096356935, 3629684995, 3954842437, 422675402, 477894725, 3398641827, 209352768, 1354642198, 3029840461, 35700837, 2937170986, 1660777984, 3508313874, 587724229, 2051237478, 3539754304, 3631430985, 2463932452, 144772179, 353408424, 3493806256, 3616422021, 1957797444, 228084488, 192277278, 3612092522, 3638977910, 467407503, 3391861572, 847810786, 1838763654, 2427237699, 3018265496, 4249218445, 1722760791, 3484353162, 2322365400, 4208966227, 2352549740, 714311566, 1346246305, 954101391, 2989587005, 3946819548, 3109244860, 3885124598, 420941376, 952826829, 1118787884, 1884590246, 1007052798, 539759724, 1521451317, 2486654530, 2761168910, 163554565, 1954997983, 2299046195, 1386788970, 2621928183, 2855206157, 3104695189, 3048269905, 4197635108, 1030118238, 2789863793, 3556473570, 1814057352, 255485979, 3657534664, 1317185871, 3004205219, 4041610788, 907575923, 4132859581, 416269582, 2980178044, 2338964683, 2236014545, 992386759, 3971362318, 2573125018, 579340117, 1371742490, 2033574313, 3809530180, 766585731, 3090313228, 463522324, 1482338913, 1816432405, 3101578277, 2418220643, 171265751, 2249118654, 1153849045, 2143267892, 2738647190, 1267908572, 1138658121, 623675874, 2944231951, 3096087202, 1283228910, 1810859539, 1179125634, 374714364, 2601862091, 1168357273, 376788629, 314507445, 1710922505, 1174181426, 2994990779, 1035692306, 2228303916, 3222680885, 752017703, 1815095408, 939691799, 3080056566, 1985366287, 126135654, 65327713, 3884301346, 2536445014, 3002467868, 955981361, 3678532805, 2616964783, 3168581019, 2173417616, 3772187171, 480342712, 451634742, 3562778450, 236095606, 1466950454, 434714388, 2369278293, 2894425895, 1766257461, 317862862, 551196237, 4193980239, 2952382875, 2416349742, 12728591, 2845888917, 1669184098, 3928626091, 2346338391, 2742989641, 2151963814, 3474431449, 3971510537, 942354812, 1005662613, 3668152847, 1974578319, 2328185090, 3234982376, 3629684995, 3954842437, 422675402, 477894725, 2931444539, 209352768, 1354642198, 3029840461, 35700837, 3388567298, 1660777984, 3508313874, 587724229, 2051237478, 1770178720, 3631430985, 2463932452, 144772179, 353408424, 3783114255, 3616422021, 1957797444, 228084488, 192277278, 611095909, 3638977910, 467407503, 3391861572, 847810786, 1413548572, 2427237699, 3018265496, 4249218445, 1722760791, 1487262638, 2322365400, 4208966227, 2352549740, 714311566, 1378213368, 954101391, 2989587005, 3946819548, 3109244860, 4183748384, 420941376, 952826829, 1118787884, 1884590246, 2199811809, 539759724, 1521451317, 2486654530, 2761168910, 1100080647, 1954997983, 2299046195, 1386788970, 2621928183, 916352763, 3104695189, 3048269905, 4197635108, 1030118238, 369866139, 3556473570, 1814057352, 255485979, 3657534664, 2916985473, 3004205219, 4041610788, 907575923, 4132859581, 3856599532, 2980178044, 2338964683, 2236014545, 992386759, 3393662326, 2573125018, 579340117, 1371742490, 2033574313, 1938766053, 766585731, 3090313228, 463522324, 1482338913, 2122086302, 3101578277, 2418220643, 171265751, 2249118654, 952602228, 2143267892, 2738647190, 1267908572, 1138658121, 1808026803, 2944231951, 3096087202, 1283228910, 1810859539, 3881666794, 374714364, 2601862091, 1168357273, 376788629, 728738466, 1710922505, 1174181426, 2994990779, 1035692306, 74930675, 3222680885, 752017703, 1815095408, 939691799, 3404352271, 1985366287, 126135654, 65327713, 3884301346, 1822629733, 3002467868, 955981361, 3678532805, 2616964783, 3865359567, 2173417616, 3772187171, 480342712, 451634742, 1099609112, 236095606, 1466950454, 434714388, 2369278293, 2671873359, 1766257461, 317862862, 551196237, 4193980239, 2006763654, 2416349742, 12728591, 2845888917, 1669184098, 2492983893, 2346338391, 2742989641, 2151963814, 3474431449, 2095232649, 942354812, 1005662613, 3668152847, 1974578319, 1748794756, 3234982376, 3629684995, 3954842437, 422675402, 2291986911, 2931444539, 209352768, 1354642198, 3029840461, 3772709822, 3388567298, 1660777984, 3508313874, 587724229, 2759789003, 1770178720, 3631430985, 2463932452, 144772179, 1572181309, 3783114255, 3616422021, 1957797444, 228084488, 4106643586, 611095909, 3638977910, 467407503, 3391861572, 927151111, 1413548572, 2427237699, 3018265496, 4249218445, 692575565, 1487262638, 2322365400, 4208966227, 2352549740, 1281886506, 1378213368, 954101391, 2989587005, 3946819548, 1861811740, 1484768905, 359662140, 4058479705, 1306547382, 514617018, 1685692791, 3370601554, 2920029077, 447798803, 3124262580, 1841693810, 583764638, 853545489, 2614348705, 1445696741, 4226719361, 1299450005, 7404137, 3158806368, 3487160245, 1410910965, 3697116584, 4272452035, 832215403, 4190877996, 2360539465, 1011144434, 546018244, 613443074, 2523894977, 998991923, 2569220540, 4221264346, 2627827148, 2606458015, 261584257, 4172552877, 1174774061, 1040006970, 2378868955, 1539192255, 1322624483, 3221782707, 3352886416, 3634686692, 65447704, 3962131218, 839088053, 4154193716, 1211888926, 319402483, 3922826413, 3799829447, 623726612, 1586183272, 1853729462, 2621029589, 708558605, 1618007233, 2784732545, 953859039, 921654620, 477148727, 3592256598, 2772318818, 1460772911, 1309227716, 3484274262, 3425161241, 1677052569, 2238155114, 2828087292, 2361598991, 4283732706, 1530059373, 1564048492, 243829114, 104328994, 3080249237, 2054985396, 408961407, 2978652320, 2412674552, 3794618070, 3644862703, 2095186402, 3294126752, 2970218740, 1800713612, 3806665216, 3990918051, 142666452, 531078813, 1079142774, 3437358350, 635943961, 255576894, 2991317718, 1208676456, 247449774, 454879171, 113230697, 3064123371, 336269028, 1137083842, 959568850, 2508623991, 3338418112, 2660268938, 1318010299, 3950178561, 1078499199, 1176289535, 3875152821, 1984420952, 1134199826, 2944539174, 3667625203, 2034152216, 1648355307, 2376447620, 2967418253, 185143450, 889002925, 3999315013, 661455858, 4026799358, 3626504428, 3544795311, 3642718771, 2467387138, 1034249749, 2051371333, 4251353248, 1575036366, 751400924, 2906720214, 1210002606, 916508568, 1728487600, 2478884914, 3081526615, 1867135009, 1955998382, 701713417, 512784398, 1255240210, 3665676113, 1771754697, 4000392442, 3342268855, 2677221913, 369054145, 4011912082, 748537647, 1626721797, 852497405, 168721778, 3091138383, }, { 3781228998, 1787582256, 838267218, 2710632450, 690892139, 2484870604, 4151302318, 1844787776, 727768263, 1075391038, 1842903369, 2927332301, 3246688068, 1234715005, 2906526190, 3369636401, 3091858538, 3320767682, 920496809, 1406803705, 3163880457, 1540551653, 2733620168, 2588558057, 147277542, 803170440, 821275940, 3897549272, 151390608, 951639139, 904639695, 1106545578, 1514893712, 998760135, 2557458623, 4109877399, 578824730, 2174064027, 3352513900, 3206168298, 911932439, 2030004973, 3283902592, 3755877921, 250434692, 352122318, 977153640, 642640734, 2555395772, 2307695537, 2593565626, 3738143618, 734614254, 3276420511, 2636087597, 4157371578, 1082026387, 429736987, 3755125580, 1935957937, 3300547146, 3089498232, 4167244256, 1619189426, 1094447351, 1061842570, 3666470174, 810916769, 2263633079, 3863543843, 1804937521, 2774236887, 2858593613, 961498236, 1515309045, 1564424234, 2276602447, 2540994858, 78621171, 3575132456, 2958793283, 387554009, 688827573, 3833764146, 2611524056, 2296780370, 2411775612, 3790615886, 3399757437, 1385198595, 1005364336, 2093159919, 2091827252, 1461775197, 4225171212, 1185831033, 12264437, 1313835999, 556653278, 917105970, 1471530347, 2010243509, 3097827138, 1399987735, 273352191, 2505795417, 1336824946, 3358720963, 2874295267, 2282349617, 3478581038, 4027859424, 713597958, 4059691816, 2812811116, 2291324146, 932688463, 3001334051, 2028368589, 830582457, 3964293916, 4276849132, 1828058403, 1351688755, 2113265048, 42517349, 3100438883, 1137792178, 1479076106, 463377892, 3964913740, 2422362185, 436113863, 2044139049, 4197323265, 3275185975, 2655265571, 1674107588, 1496360114, 3642050139, 1739051417, 2393774399, 250035802, 10186306, 263338568, 3899157617, 3679157076, 2258085991, 1407319575, 899008067, 3679828833, 711086272, 2952963707, 3373894808, 445540851, 3405637490, 1343291195, 730888681, 507768703, 3473963321, 1779803564, 3781228998, 1787582256, 838267218, 2710632450, 2431224659, 2484870604, 4151302318, 1844787776, 727768263, 4012573268, 1842903369, 2927332301, 3246688068, 1234715005, 3405161215, 3369636401, 3091858538, 3320767682, 920496809, 400609988, 3163880457, 1540551653, 2733620168, 2588558057, 2137935937, 803170440, 821275940, 3897549272, 151390608, 194431797, 904639695, 1106545578, 1514893712, 998760135, 62528087, 4109877399, 578824730, 2174064027, 3352513900, 3495516649, 911932439, 2030004973, 3283902592, 3755877921, 1774462108, 352122318, 977153640, 642640734, 2555395772, 756528792, 2593565626, 3738143618, 734614254, 3276420511, 4086313763, 4157371578, 1082026387, 429736987, 3755125580, 526056489, 3300547146, 3089498232, 4167244256, 1619189426, 82235109, 1061842570, 3666470174, 810916769, 2263633079, 1110270726, 1804937521, 2774236887, 2858593613, 961498236, 1840197918, 1564424234, 2276602447, 2540994858, 78621171, 3690913528, 2958793283, 387554009, 688827573, 3833764146, 3626285597, 2296780370, 2411775612, 3790615886, 3399757437, 1561545830, 1005364336, 2093159919, 2091827252, 1461775197, 63358970, 1185831033, 12264437, 1313835999, 556653278, 3918754976, 1471530347, 2010243509, 3097827138, 1399987735, 2767111911, 2505795417, 1336824946, 3358720963, 2874295267, 902314853, 3478581038, 4027859424, 713597958, 4059691816, 1462989647, 2291324146, 932688463, 3001334051, 2028368589, 3594712587, 3964293916, 4276849132, 1828058403, 1351688755, 2571513800, 42517349, 3100438883, 1137792178, 1479076106, 140519541, 3964913740, 2422362185, 436113863, 2044139049, 226785542, 3275185975, 2655265571, 1674107588, 1496360114, 46428973, 1739051417, 2393774399, 250035802, 10186306, 4118320101, 3899157617, 3679157076, 2258085991, 1407319575, 4267866849, 3679828833, 711086272, 2952963707, 3373894808, 3662249794, 3405637490, 1343291195, 730888681, 507768703, 2930510271, 1779803564, 3781228998, 1787582256, 838267218, 1817693489, 2431224659, 2484870604, 4151302318, 1844787776, 1788220652, 4012573268, 1842903369, 2927332301, 3246688068, 2050648011, 3405161215, 3369636401, 3091858538, 3320767682, 241001958, 400609988, 3163880457, 1540551653, 2733620168, 3857223520, 2137935937, 803170440, 821275940, 3897549272, 1451986523, 194431797, 904639695, 1106545578, 1514893712, 4147878244, 62528087, 4109877399, 578824730, 2174064027, 461571251, 3495516649, 911932439, 2030004973, 3283902592, 1580354765, 1774462108, 352122318, 977153640, 642640734, 1019387737, 756528792, 2593565626, 3738143618, 734614254, 999431451, 4086313763, 4157371578, 1082026387, 429736987, 140091634, 526056489, 3300547146, 3089498232, 4167244256, 3202763095, 82235109, 1061842570, 3666470174, 810916769, 3663992550, 1110270726, 1804937521, 2774236887, 2858593613, 2203639366, 1840197918, 1564424234, 2276602447, 2540994858, 978199281, 3690913528, 2958793283, 387554009, 688827573, 375113876, 3626285597, 2296780370, 2411775612, 3790615886, 1277897939, 1561545830, 1005364336, 2093159919, 2091827252, 1631078873, 63358970, 1185831033, 12264437, 1313835999, 3872277948, 3918754976, 1471530347, 2010243509, 3097827138, 1291836608, 2767111911, 2505795417, 1336824946, 3358720963, 3954754615, 902314853, 3478581038, 4027859424, 713597958, 2198246306, 1462989647, 2291324146, 932688463, 3001334051, 2374736511, 3594712587, 3964293916, 4276849132, 1828058403, 3619038368, 2571513800, 42517349, 3100438883, 1137792178, 1146435746, 140519541, 3964913740, 2422362185, 436113863, 3460540392, 226785542, 3275185975, 2655265571, 1674107588, 1288223861, 46428973, 1739051417, 2393774399, 250035802, 1986226858, 4118320101, 3899157617, 3679157076, 2258085991, 551117761, 4267866849, 3679828833, 711086272, 2952963707, 1667866621, 3662249794, 3405637490, 1343291195, 730888681, 2381246695, 2930510271, 1779803564, 3781228998, 1787582256, 1236367773, 1817693489, 2431224659, 2484870604, 4151302318, 2902321811, 1788220652, 4012573268, 1842903369, 2927332301, 1185539274, 2050648011, 3405161215, 3369636401, 3091858538, 4240555382, 241001958, 400609988, 3163880457, 1540551653, 2539098607, 3857223520, 2137935937, 803170440, 821275940, 3485313735, 1451986523, 194431797, 904639695, 1106545578, 1633417190, 4147878244, 62528087, 4109877399, 578824730, 3671726812, 461571251, 3495516649, 911932439, 2030004973, 2002341352, 1580354765, 1774462108, 352122318, 977153640, 170033402, 1019387737, 756528792, 2593565626, 3738143618, 4160516213, 999431451, 4086313763, 4157371578, 1082026387, 1423352480, 140091634, 526056489, 3300547146, 3089498232, 4266971502, 3202763095, 82235109, 1061842570, 3666470174, 945994616, 3663992550, 1110270726, 1804937521, 2774236887, 3776581315, 2203639366, 1840197918, 1564424234, 2276602447, 928117829, 978199281, 3690913528, 2958793283, 387554009, 2817496615, 375113876, 3626285597, 2296780370, 2411775612, 1346030561, 1277897939, 1561545830, 1005364336, 2093159919, 821902776, 1631078873, 63358970, 1185831033, 12264437, 3192617499, 3872277948, 3918754976, 1471530347, 2010243509, 4011062105, 1291836608, 2767111911, 2505795417, 1336824946, 1593119272, 3954754615, 902314853, 3478581038, 4027859424, 1163079365, 2198246306, 1462989647, 2291324146, 932688463, 4018333691, 2374736511, 3594712587, 3964293916, 4276849132, 3902062310, 3619038368, 2571513800, 42517349, 3100438883, 1645455709, 1146435746, 140519541, 3964913740, 2422362185, 3338363150, 3460540392, 226785542, 3275185975, 2655265571, 3789582441, 1288223861, 46428973, 1739051417, 2393774399, 2257001236, 1986226858, 4118320101, 3899157617, 3679157076, 3707520907, 551117761, 4267866849, 3679828833, 711086272, 570153549, 1667866621, 3662249794, 3405637490, 1343291195, 112368058, 2615115584, 2865130041, 357584504, 528807633, 1816055434, 2854850066, 190222907, 1014915859, 3472967123, 2605782564, 3353130066, 540430076, 2087143725, 1571283916, 1604766425, 934199876, 3359569795, 4168578472, 1745876717, 277026333, 2679446726, 3582165485, 3954458991, 2615245404, 2410035461, 3442004248, 2814474875, 1734556428, 2653422310, 4033890533, 2373774914, 3011118469, 1276695464, 2995405818, 782363735, 2242531852, 4206829780, 1486885236, 3764707851, 1945614253, 1147926733, 701960774, 3435251514, 3626050187, 3587799538, 2399216643, 3217822006, 3600044386, 648239752, 2997947488, 1754097052, 4109638936, 3413714077, 1038375790, 3394259389, 2284776380, 2711956471, 1278424040, 1272230764, 3980809660, 1983901240, 894405781, 582621606, 1274260631, 763432985, 1862236664, 10249416, 3838574116, 1912270458, 3491686662, 2696669149, 312119069, 1812714569, 2729307370, 3045249652, 303684944, 503720764, 4029412414, 4101616421, 3484358948, 1261027935, 145713434, 2918444923, 2099546237, 3173693583, 3498398823, 3769717769, 2860220116, 2919562911, 1221047715, 1749384742, 1018968146, 2771587474, 2746107326, 1182859751, 2403805226, 2206395932, 1500348209, 1762634532, 3017223998, 2043185588, 2124568729, 1619852613, 3248258238, 3393223375, 644860154, 2465108160, 2358875673, 3643741304, 1891106916, 416443047, 3298583974, 1030877276, 2839390034, 4181398645, 1845333999, 3643365079, 1993116780, 1763857175, 1951718545, 3785659537, 4156412284, 4138026128, 3480291142, 54280556, 4169041146, 3130638398, 3236816184, 3559898998, 916420843, 938920758, 3425021599, 1528477728, 3597939783, 3516249439, 936528538, 4174817780, 2541489033, 3962368135, 2054336507, 2610093970, 3613025255, 3583905994, 2990129491, 332823408, 2505138276, 3811707598, 373987627, 4263703898, 1668946560, 3213253899, 2673819338, 1631405099, 3127443274, 549232331, 21447814, 1647238011, 3093799993, 1922712395, }, { 4224788259, 3569487556, 1080137041, 2788623569, 856160888, 2195536417, 3030463035, 2906439247, 896055051, 1967105456, 2093562169, 2919742950, 546374698, 1372591815, 3773616637, 349073007, 1331102855, 3035367896, 1222622311, 2266618592, 74466398, 1140488004, 855606859, 3803728487, 3589743162, 2748402856, 1044387368, 1494850922, 2242660891, 3111566003, 2013737074, 163276737, 1526772858, 3047139947, 3150695453, 2583795468, 3628272447, 305282258, 2151108134, 2905708853, 1052800761, 3354632338, 1017036861, 2453680791, 2673902555, 1622154585, 2893733051, 3888482522, 306284440, 3245137245, 3480776670, 2865396581, 3571456526, 3284891766, 1393584874, 1057867320, 2888126310, 3302325443, 4135187530, 1770789166, 1615533805, 1438727397, 2921922012, 3156703516, 435047591, 2999350446, 575044884, 1001339111, 625824120, 2489346227, 2104489492, 2494528446, 1141458836, 4048430074, 2599022749, 2438694106, 1443850072, 3321658999, 87870515, 958195816, 380666771, 3062272732, 4178548642, 4274603044, 888566831, 3386636024, 1636806704, 2400069397, 3003029365, 1953620944, 3278772216, 1562778171, 2767090642, 14436957, 913966574, 1724553886, 2015261135, 4191296122, 1688939147, 110865735, 2913800286, 4131469475, 315962755, 1531174227, 1226678476, 3446400266, 3896297836, 539834883, 2871306264, 3333932675, 2229436010, 1928458456, 464682640, 1786180352, 162599143, 817038005, 3146256537, 1676400403, 2484731087, 702610427, 4005124049, 1691076958, 1268494739, 4093608833, 3757213737, 2627839929, 2884764386, 1548110665, 3361745333, 3955318088, 3264527857, 3969225726, 968269281, 2630991382, 2716444139, 1071781623, 3704437685, 1511193802, 843840414, 1277966236, 4141095880, 715016637, 1255888181, 1321941951, 1180174408, 1021629824, 3395369301, 3912221525, 2611782663, 4038117717, 2253029302, 974431991, 347200257, 886823557, 2275848777, 3732452739, 3708953729, 2688020866, 4185175489, 99605353, 2387945286, 4224788259, 3569487556, 1080137041, 2788623569, 238715294, 2195536417, 3030463035, 2906439247, 896055051, 3061240402, 2093562169, 2919742950, 546374698, 1372591815, 851057115, 349073007, 1331102855, 3035367896, 1222622311, 3305595574, 74466398, 1140488004, 855606859, 3803728487, 3838112757, 2748402856, 1044387368, 1494850922, 2242660891, 1038286760, 2013737074, 163276737, 1526772858, 3047139947, 3518918891, 2583795468, 3628272447, 305282258, 2151108134, 3555155951, 1052800761, 3354632338, 1017036861, 2453680791, 2394691836, 1622154585, 2893733051, 3888482522, 306284440, 2055552069, 3480776670, 2865396581, 3571456526, 3284891766, 1179339312, 1057867320, 2888126310, 3302325443, 4135187530, 683364318, 1615533805, 1438727397, 2921922012, 3156703516, 1333086260, 2999350446, 575044884, 1001339111, 625824120, 576119652, 2104489492, 2494528446, 1141458836, 4048430074, 786660788, 2438694106, 1443850072, 3321658999, 87870515, 457955380, 380666771, 3062272732, 4178548642, 4274603044, 2256710588, 3386636024, 1636806704, 2400069397, 3003029365, 3733049985, 3278772216, 1562778171, 2767090642, 14436957, 530062778, 1724553886, 2015261135, 4191296122, 1688939147, 2981240708, 2913800286, 4131469475, 315962755, 1531174227, 2433363617, 3446400266, 3896297836, 539834883, 2871306264, 2597546929, 2229436010, 1928458456, 464682640, 1786180352, 1165821797, 817038005, 3146256537, 1676400403, 2484731087, 3239493343, 4005124049, 1691076958, 1268494739, 4093608833, 2088690204, 2627839929, 2884764386, 1548110665, 3361745333, 1075350364, 3264527857, 3969225726, 968269281, 2630991382, 4103280359, 1071781623, 3704437685, 1511193802, 843840414, 1340474980, 4141095880, 715016637, 1255888181, 1321941951, 2512565938, 1021629824, 3395369301, 3912221525, 2611782663, 2287272047, 2253029302, 974431991, 347200257, 886823557, 3775715445, 3732452739, 3708953729, 2688020866, 4185175489, 2151114047, 2387945286, 4224788259, 3569487556, 1080137041, 879682447, 238715294, 2195536417, 3030463035, 2906439247, 3975397430, 3061240402, 2093562169, 2919742950, 546374698, 1928060945, 851057115, 349073007, 1331102855, 3035367896, 1148668613, 3305595574, 74466398, 1140488004, 855606859, 917923571, 3838112757, 2748402856, 1044387368, 1494850922, 995791756, 1038286760, 2013737074, 163276737, 1526772858, 1944370085, 3518918891, 2583795468, 3628272447, 305282258, 685261037, 3555155951, 1052800761, 3354632338, 1017036861, 1620076466, 2394691836, 1622154585, 2893733051, 3888482522, 4119309151, 2055552069, 3480776670, 2865396581, 3571456526, 4008552940, 1179339312, 1057867320, 2888126310, 3302325443, 2359989247, 683364318, 1615533805, 1438727397, 2921922012, 2092991022, 1333086260, 2999350446, 575044884, 1001339111, 2406217399, 576119652, 2104489492, 2494528446, 1141458836, 1856565466, 786660788, 2438694106, 1443850072, 3321658999, 2752588925, 457955380, 380666771, 3062272732, 4178548642, 1354877973, 2256710588, 3386636024, 1636806704, 2400069397, 2275777233, 3733049985, 3278772216, 1562778171, 2767090642, 3438624166, 530062778, 1724553886, 2015261135, 4191296122, 3842215040, 2981240708, 2913800286, 4131469475, 315962755, 2891870900, 2433363617, 3446400266, 3896297836, 539834883, 1390877376, 2597546929, 2229436010, 1928458456, 464682640, 1405678725, 1165821797, 817038005, 3146256537, 1676400403, 9522151, 3239493343, 4005124049, 1691076958, 1268494739, 4076978821, 2088690204, 2627839929, 2884764386, 1548110665, 3713129550, 1075350364, 3264527857, 3969225726, 968269281, 2669129178, 4103280359, 1071781623, 3704437685, 1511193802, 2032747975, 1340474980, 4141095880, 715016637, 1255888181, 1290704077, 2512565938, 1021629824, 3395369301, 3912221525, 767420943, 2287272047, 2253029302, 974431991, 347200257, 940587649, 3775715445, 3732452739, 3708953729, 2688020866, 1603856534, 2151114047, 2387945286, 4224788259, 3569487556, 4060395365, 879682447, 238715294, 2195536417, 3030463035, 774839173, 3975397430, 3061240402, 2093562169, 2919742950, 77503099, 1928060945, 851057115, 349073007, 1331102855, 4216140027, 1148668613, 3305595574, 74466398, 1140488004, 1728766104, 917923571, 3838112757, 2748402856, 1044387368, 1408900577, 995791756, 1038286760, 2013737074, 163276737, 936142172, 1944370085, 3518918891, 2583795468, 3628272447, 1701372078, 685261037, 3555155951, 1052800761, 3354632338, 2951922777, 1620076466, 2394691836, 1622154585, 2893733051, 2494523614, 4119309151, 2055552069, 3480776670, 2865396581, 3031455484, 4008552940, 1179339312, 1057867320, 2888126310, 2970791558, 2359989247, 683364318, 1615533805, 1438727397, 3697460033, 2092991022, 1333086260, 2999350446, 575044884, 2712063736, 2406217399, 576119652, 2104489492, 2494528446, 1096189230, 1856565466, 786660788, 2438694106, 1443850072, 3615481975, 2752588925, 457955380, 380666771, 3062272732, 2387056252, 1354877973, 2256710588, 3386636024, 1636806704, 517188972, 2275777233, 3733049985, 3278772216, 1562778171, 3436331606, 3438624166, 530062778, 1724553886, 2015261135, 1711407722, 3842215040, 2981240708, 2913800286, 4131469475, 878455086, 2891870900, 2433363617, 3446400266, 3896297836, 4251949215, 1390877376, 2597546929, 2229436010, 1928458456, 719826541, 1405678725, 1165821797, 817038005, 3146256537, 3883590627, 9522151, 3239493343, 4005124049, 1691076958, 893183073, 4076978821, 2088690204, 2627839929, 2884764386, 3312769297, 3713129550, 1075350364, 3264527857, 3969225726, 4161107579, 2669129178, 4103280359, 1071781623, 3704437685, 1400940789, 2032747975, 1340474980, 4141095880, 715016637, 1705234794, 1290704077, 2512565938, 1021629824, 3395369301, 2934074199, 767420943, 2287272047, 2253029302, 974431991, 3060035390, 940587649, 3775715445, 3732452739, 3708953729, 3489160434, 3200799223, 340420813, 2539294182, 2619616318, 456806966, 4272538790, 2994564124, 2757588894, 3493053179, 2946195469, 1402305257, 2266356503, 3512914478, 273195440, 3579761455, 862317458, 1894959361, 42596779, 376641729, 782820755, 716528645, 222675565, 4038035195, 311038326, 395780597, 2025474869, 404396572, 4138962756, 2441107014, 3525378401, 947085768, 3758218091, 3185789607, 638283508, 3802505926, 830259842, 1086400881, 3444485, 142418107, 4283468141, 1669846189, 955065888, 3864384467, 73139517, 136809048, 1444329434, 174974637, 3303183786, 282216656, 3114827080, 3811060015, 1610640996, 3824096289, 1123437514, 3826582808, 39407702, 2437666463, 2454206642, 830758422, 4190092654, 1941090912, 224373276, 3704201239, 3284012568, 4056152539, 1022047941, 1077111803, 3028336675, 3207391465, 3459202233, 1991240724, 4184491520, 1851863093, 1038639595, 1392247730, 2113875749, 1162388509, 2629935260, 3545260772, 991928712, 4064775043, 4180493781, 2134685922, 642853690, 290065503, 1629968, 3150373868, 3110755428, 2254306163, 421928533, 11426979, 3042809169, 786868170, 1287942583, 1851107769, 1444903906, 4150950197, 3737798306, 2848738554, 505924220, 2944131627, 2639930627, 1339887691, 2382166850, 2668971315, 3944739049, 2217612340, 4142682607, 997824216, 123465626, 844518179, 1161486362, 2706162053, 2966530827, 4103639053, 1837121393, 909648429, 298619078, 2057042454, 3613272637, 3609349032, 1664428748, 1871510359, 58508710, 1079418100, 3278870121, 3821562746, 16654909, 2530580589, 3361874982, 629910009, 2124761646, 2508133604, 1954315500, 3019833617, 141617625, 1653192078, 1541695589, 1223978475, 3875963510, 3028691587, 3450826564, 2185849120, 1956475624, 3053842172, 3550887830, 2672339803, 176823785, 913229929, 681399502, 2256486297, 2881672598, 597153273, 2782767695, 1133158067, 4126077325, 3456027404, 754062201, 4069172986, }, { 2441935114, 3465447683, 2897229686, 3845380309, 1199633364, 495424232, 2490548037, 581670528, 2467171733, 2200094863, 2163927790, 3895792830, 2097210789, 1606544633, 1305562517, 4072525389, 3256142090, 349440478, 3920932491, 2462464051, 1075951496, 2835763703, 1593198055, 2380945625, 543531323, 3182766507, 2927484354, 2877470578, 4153923603, 2443156156, 1168544900, 888955615, 3605412824, 1336677864, 3256116974, 2884036014, 4070749843, 2989661773, 1095584023, 1370834065, 3534389580, 312378113, 3190819203, 1247574926, 2046019470, 3536918510, 1479030180, 847820646, 3992973956, 3827223401, 4113429617, 3504933502, 295000614, 2238923504, 3485717254, 290246351, 1064210816, 2848539559, 2617134888, 422213010, 2796674561, 3568250500, 2736237915, 3950756060, 1527249993, 3603540278, 4115393386, 2851621193, 4230341156, 905168850, 3916344126, 1496013046, 206343742, 2894205125, 1082918859, 2746480417, 3077328661, 1209440053, 3258293856, 1032236533, 3043332566, 446879604, 587022214, 1614371566, 3040899994, 3686422145, 937325128, 1968833679, 169086151, 4075432555, 1196046411, 3101745581, 4228079966, 2942213563, 1195005323, 1673491641, 1762746534, 3641827252, 694590905, 1828365460, 513716230, 3106485486, 2441593994, 4044462965, 3628121101, 3957990629, 179764922, 579361186, 3474393871, 2474241006, 4031850878, 3120409532, 4011587898, 3682942579, 3257272830, 3097029759, 2652540191, 1128762588, 1040256382, 2743736716, 334893087, 1892049031, 2603159239, 3712772023, 2126593224, 3465793906, 3180780589, 725740783, 3728108967, 573931936, 137996587, 110756053, 3984787930, 3773232816, 3406981985, 1783088630, 2080089781, 195827466, 1409073281, 867635355, 3049533211, 486687054, 2570137956, 527522011, 1084454084, 1019222771, 1415565066, 650794786, 629618803, 1237709131, 1241899078, 2751644247, 2792313337, 649402117, 275078659, 752459111, 2173220853, 3207031798, 821073585, 3005400729, 1085152012, 2441935114, 3465447683, 2897229686, 3845380309, 3573898488, 495424232, 2490548037, 581670528, 2467171733, 1208279791, 2163927790, 3895792830, 2097210789, 1606544633, 2148733343, 4072525389, 3256142090, 349440478, 3920932491, 657289255, 1075951496, 2835763703, 1593198055, 2380945625, 149487931, 3182766507, 2927484354, 2877470578, 4153923603, 606130344, 1168544900, 888955615, 3605412824, 1336677864, 53448770, 2884036014, 4070749843, 2989661773, 1095584023, 2766144383, 3534389580, 312378113, 3190819203, 1247574926, 1530609481, 3536918510, 1479030180, 847820646, 3992973956, 154171325, 4113429617, 3504933502, 295000614, 2238923504, 282708664, 290246351, 1064210816, 2848539559, 2617134888, 36906646, 2796674561, 3568250500, 2736237915, 3950756060, 3416260072, 3603540278, 4115393386, 2851621193, 4230341156, 448215287, 3916344126, 1496013046, 206343742, 2894205125, 2420861244, 2746480417, 3077328661, 1209440053, 3258293856, 2545287695, 3043332566, 446879604, 587022214, 1614371566, 958587333, 3686422145, 937325128, 1968833679, 169086151, 154576725, 1196046411, 3101745581, 4228079966, 2942213563, 2487464668, 1673491641, 1762746534, 3641827252, 694590905, 3754606623, 513716230, 3106485486, 2441593994, 4044462965, 3064108377, 3957990629, 179764922, 579361186, 3474393871, 2138270428, 4031850878, 3120409532, 4011587898, 3682942579, 4015980199, 3097029759, 2652540191, 1128762588, 1040256382, 3908621649, 334893087, 1892049031, 2603159239, 3712772023, 3291038350, 3465793906, 3180780589, 725740783, 3728108967, 436976908, 137996587, 110756053, 3984787930, 3773232816, 1000054791, 1783088630, 2080089781, 195827466, 1409073281, 3036813614, 3049533211, 486687054, 2570137956, 527522011, 3669951690, 1019222771, 1415565066, 650794786, 629618803, 4140569538, 1241899078, 2751644247, 2792313337, 649402117, 2946582304, 752459111, 2173220853, 3207031798, 821073585, 1738142977, 1085152012, 2441935114, 3465447683, 2897229686, 2707197334, 3573898488, 495424232, 2490548037, 581670528, 2365865647, 1208279791, 2163927790, 3895792830, 2097210789, 3219551420, 2148733343, 4072525389, 3256142090, 349440478, 3706519197, 657289255, 1075951496, 2835763703, 1593198055, 2200084531, 149487931, 3182766507, 2927484354, 2877470578, 2394288661, 606130344, 1168544900, 888955615, 3605412824, 1503975597, 53448770, 2884036014, 4070749843, 2989661773, 243605110, 2766144383, 3534389580, 312378113, 3190819203, 2398088088, 1530609481, 3536918510, 1479030180, 847820646, 2940281320, 154171325, 4113429617, 3504933502, 295000614, 3078701806, 282708664, 290246351, 1064210816, 2848539559, 3960345380, 36906646, 2796674561, 3568250500, 2736237915, 2657034787, 3416260072, 3603540278, 4115393386, 2851621193, 3847740427, 448215287, 3916344126, 1496013046, 206343742, 3419083433, 2420861244, 2746480417, 3077328661, 1209440053, 3824237152, 2545287695, 3043332566, 446879604, 587022214, 506352928, 958587333, 3686422145, 937325128, 1968833679, 1808935939, 154576725, 1196046411, 3101745581, 4228079966, 709576348, 2487464668, 1673491641, 1762746534, 3641827252, 3968332142, 3754606623, 513716230, 3106485486, 2441593994, 1453443785, 3064108377, 3957990629, 179764922, 579361186, 1454621561, 2138270428, 4031850878, 3120409532, 4011587898, 898119245, 4015980199, 3097029759, 2652540191, 1128762588, 1131456853, 3908621649, 334893087, 1892049031, 2603159239, 4280222837, 3291038350, 3465793906, 3180780589, 725740783, 1515867399, 436976908, 137996587, 110756053, 3984787930, 1295994548, 1000054791, 1783088630, 2080089781, 195827466, 252558267, 3036813614, 3049533211, 486687054, 2570137956, 786434419, 3669951690, 1019222771, 1415565066, 650794786, 1316734597, 4140569538, 1241899078, 2751644247, 2792313337, 4014748337, 2946582304, 752459111, 2173220853, 3207031798, 2903407363, 1738142977, 1085152012, 2441935114, 3465447683, 1082984764, 2707197334, 3573898488, 495424232, 2490548037, 240094068, 2365865647, 1208279791, 2163927790, 3895792830, 1107651215, 3219551420, 2148733343, 4072525389, 3256142090, 681942656, 3706519197, 657289255, 1075951496, 2835763703, 2172774506, 2200084531, 149487931, 3182766507, 2927484354, 3069592433, 2394288661, 606130344, 1168544900, 888955615, 757163746, 1503975597, 53448770, 2884036014, 4070749843, 1705538727, 243605110, 2766144383, 3534389580, 312378113, 2256467250, 2398088088, 1530609481, 3536918510, 1479030180, 1360826079, 2940281320, 154171325, 4113429617, 3504933502, 714934244, 3078701806, 282708664, 290246351, 1064210816, 3694453051, 3960345380, 36906646, 2796674561, 3568250500, 3400481963, 2657034787, 3416260072, 3603540278, 4115393386, 1466632735, 3847740427, 448215287, 3916344126, 1496013046, 2893537514, 3419083433, 2420861244, 2746480417, 3077328661, 2815979224, 3824237152, 2545287695, 3043332566, 446879604, 3719452721, 506352928, 958587333, 3686422145, 937325128, 2653904510, 1808935939, 154576725, 1196046411, 3101745581, 425411544, 709576348, 2487464668, 1673491641, 1762746534, 1960605594, 3968332142, 3754606623, 513716230, 3106485486, 2881551071, 1453443785, 3064108377, 3957990629, 179764922, 1408218536, 1454621561, 2138270428, 4031850878, 3120409532, 3700386494, 898119245, 4015980199, 3097029759, 2652540191, 2181464767, 1131456853, 3908621649, 334893087, 1892049031, 4220220071, 4280222837, 3291038350, 3465793906, 3180780589, 1737123182, 1515867399, 436976908, 137996587, 110756053, 1360813614, 1295994548, 1000054791, 1783088630, 2080089781, 1019367341, 252558267, 3036813614, 3049533211, 486687054, 387915679, 786434419, 3669951690, 1019222771, 1415565066, 4267042909, 1316734597, 4140569538, 1241899078, 2751644247, 3622120385, 4014748337, 2946582304, 752459111, 2173220853, 1128460687, 2268047031, 239933818, 4141570430, 1318816940, 2378987660, 731877825, 3950952879, 2975574698, 2938375136, 431933385, 154404673, 2020658234, 846815781, 822137193, 1057315444, 3632584082, 3263363094, 942201956, 2704683551, 1768107067, 4009446092, 3090701064, 701246680, 3548419575, 3873366129, 1639833080, 2401253373, 66597794, 2515774132, 516246524, 4232115668, 34426096, 2206423458, 3628832867, 2776950121, 2782943544, 2058958317, 1805852726, 2151415233, 2940074103, 2318397273, 3067676663, 3127709351, 71509976, 115529187, 1841252918, 2217805156, 733917373, 2432474677, 1416887641, 1895320369, 2779694586, 510547269, 2614743018, 759552691, 2264773752, 305497497, 1082013785, 1681067734, 1085957001, 846460632, 2824079919, 1820633139, 3686495295, 3978521319, 1734452426, 4105472656, 1771256166, 1578071897, 1972844727, 2048372515, 3002132226, 1889169118, 2932142799, 2166712623, 592016143, 1116895096, 889321536, 375621825, 2935845994, 1982459859, 3336799370, 294519309, 2661638345, 1089335942, 227150969, 1454919198, 3780503305, 1862290968, 1491836299, 766546986, 3638407467, 925906735, 208891816, 236714698, 2853181150, 3889751556, 2161215392, 853579433, 2131555681, 1396396345, 1088128136, 978252562, 2134024308, 2429920974, 1159468871, 2395949266, 1441791888, 916521377, 3950270431, 2663319810, 3873120593, 2080989388, 2896532502, 3176181708, 1736685126, 4081767288, 3515770288, 1371473598, 1491850178, 4284949727, 2774513541, 1541596000, 3948112869, 2114538326, 2641532252, 1837244955, 2292505300, 3179787565, 639953781, 785902378, 3852544833, 553508260, 23014564, 106722100, 2705412979, 3449440367, 950636401, 870804158, 629831074, 424163855, 373653940, 2739378330, 377730945, 418426029, 267367218, 554678849, 4222664331, 3346048120, 1870226737, 2435616108, 3747040233, 698046507, 1671346285, 4127293033, 568612264, 3467142937, 1627988025, 1305525598, }, { 2246605826, 215030128, 871645668, 3402612852, 423273439, 316965236, 47416561, 1470716454, 2288582385, 2021890755, 2148091363, 167227868, 3085506034, 3365950545, 1170282137, 1345986409, 197195155, 2644113318, 2491271090, 2597072003, 170335901, 2540851884, 2584420407, 3609142920, 3052130502, 4018095157, 2850805299, 2777821400, 110647395, 3262987676, 1447103309, 3632575579, 3243210595, 1892770504, 4214485953, 38676169, 2431628817, 2836918800, 272023527, 2825888902, 2794421955, 2354379386, 452404203, 584718212, 1915053836, 1455821656, 4264066935, 1150980581, 3792433350, 3104909316, 441521402, 3807587668, 275969953, 3970844623, 3323695518, 3909107329, 290225599, 957520066, 4048181850, 2623778463, 1957371891, 540091753, 3072448879, 2386916346, 392549194, 1261391184, 4137605148, 314807135, 2916930821, 3168561018, 2332027308, 1967082817, 1849256214, 1141134412, 1206824012, 2088102210, 4170914605, 3399892824, 59190648, 1657183299, 1314626253, 500606287, 413229420, 1245395908, 664681, 2726979120, 3408998445, 2318397638, 1882820077, 2073055266, 4262833629, 1348801932, 229857331, 3086071450, 1327801028, 812015573, 2214355282, 2232635690, 3162540418, 2049877621, 470752564, 2527480795, 1285499716, 220173566, 4239277569, 788168494, 3748855859, 1360707769, 449512212, 1238219398, 2880205975, 2755133627, 372409230, 411800575, 2455333195, 4080817864, 3556684908, 2857940866, 1969081563, 2526852668, 1026062474, 1849785784, 3552290093, 4214448, 460332681, 30890894, 1108618048, 272438799, 3339891045, 1512685591, 1310038443, 2431938882, 1478442144, 2804640700, 3426381347, 861206186, 290322827, 2736623609, 327318125, 1922859957, 1939922519, 3539608908, 3442377433, 3868710131, 2244493875, 47774461, 3858864626, 3294523981, 1798515481, 565017248, 2633378137, 811307482, 1743357106, 419676111, 1688841846, 1799884674, 1720546272, 3900863156, 3506303345, 1719438472, 576775454, 2246605826, 215030128, 871645668, 3402612852, 619000856, 316965236, 47416561, 1470716454, 2288582385, 3464704266, 2148091363, 167227868, 3085506034, 3365950545, 901169164, 1345986409, 197195155, 2644113318, 2491271090, 3243741640, 170335901, 2540851884, 2584420407, 3609142920, 2051834116, 4018095157, 2850805299, 2777821400, 110647395, 2822981113, 1447103309, 3632575579, 3243210595, 1892770504, 1947501555, 38676169, 2431628817, 2836918800, 272023527, 4010280501, 2794421955, 2354379386, 452404203, 584718212, 3991257933, 1455821656, 4264066935, 1150980581, 3792433350, 2151631692, 441521402, 3807587668, 275969953, 3970844623, 3965914153, 3909107329, 290225599, 957520066, 4048181850, 4011285909, 1957371891, 540091753, 3072448879, 2386916346, 1347453316, 1261391184, 4137605148, 314807135, 2916930821, 840822698, 2332027308, 1967082817, 1849256214, 1141134412, 960593185, 2088102210, 4170914605, 3399892824, 59190648, 2261593014, 1314626253, 500606287, 413229420, 1245395908, 3401527918, 2726979120, 3408998445, 2318397638, 1882820077, 1683077666, 4262833629, 1348801932, 229857331, 3086071450, 3363644507, 812015573, 2214355282, 2232635690, 3162540418, 3579858747, 470752564, 2527480795, 1285499716, 220173566, 2294101261, 788168494, 3748855859, 1360707769, 449512212, 28595866, 2880205975, 2755133627, 372409230, 411800575, 1905311140, 4080817864, 3556684908, 2857940866, 1969081563, 148561593, 1026062474, 1849785784, 3552290093, 4214448, 2237247821, 30890894, 1108618048, 272438799, 3339891045, 169576507, 1310038443, 2431938882, 1478442144, 2804640700, 4119485855, 861206186, 290322827, 2736623609, 327318125, 3408620608, 1939922519, 3539608908, 3442377433, 3868710131, 1188056275, 47774461, 3858864626, 3294523981, 1798515481, 1228896851, 2633378137, 811307482, 1743357106, 419676111, 3111013241, 1799884674, 1720546272, 3900863156, 3506303345, 1474164586, 576775454, 2246605826, 215030128, 871645668, 2968519387, 619000856, 316965236, 47416561, 1470716454, 9648980, 3464704266, 2148091363, 167227868, 3085506034, 1505294373, 901169164, 1345986409, 197195155, 2644113318, 1227359150, 3243741640, 170335901, 2540851884, 2584420407, 1205921163, 2051834116, 4018095157, 2850805299, 2777821400, 2967529310, 2822981113, 1447103309, 3632575579, 3243210595, 532996977, 1947501555, 38676169, 2431628817, 2836918800, 1761031313, 4010280501, 2794421955, 2354379386, 452404203, 1222630846, 3991257933, 1455821656, 4264066935, 1150980581, 2344548386, 2151631692, 441521402, 3807587668, 275969953, 963889269, 3965914153, 3909107329, 290225599, 957520066, 4176220201, 4011285909, 1957371891, 540091753, 3072448879, 1810164615, 1347453316, 1261391184, 4137605148, 314807135, 2672526663, 840822698, 2332027308, 1967082817, 1849256214, 734862208, 960593185, 2088102210, 4170914605, 3399892824, 2471507530, 2261593014, 1314626253, 500606287, 413229420, 970185057, 3401527918, 2726979120, 3408998445, 2318397638, 708987193, 1683077666, 4262833629, 1348801932, 229857331, 749849397, 3363644507, 812015573, 2214355282, 2232635690, 2901095495, 3579858747, 470752564, 2527480795, 1285499716, 941862108, 2294101261, 788168494, 3748855859, 1360707769, 3818227212, 28595866, 2880205975, 2755133627, 372409230, 570110534, 1905311140, 4080817864, 3556684908, 2857940866, 2253777974, 148561593, 1026062474, 1849785784, 3552290093, 1525559608, 2237247821, 30890894, 1108618048, 272438799, 3996203631, 169576507, 1310038443, 2431938882, 1478442144, 2857841871, 4119485855, 861206186, 290322827, 2736623609, 1184217272, 3408620608, 1939922519, 3539608908, 3442377433, 1263700272, 1188056275, 47774461, 3858864626, 3294523981, 2611619, 1228896851, 2633378137, 811307482, 1743357106, 1930089302, 3111013241, 1799884674, 1720546272, 3900863156, 2370003471, 1474164586, 576775454, 2246605826, 215030128, 540197019, 2968519387, 619000856, 316965236, 47416561, 3585128733, 9648980, 3464704266, 2148091363, 167227868, 509283324, 1505294373, 901169164, 1345986409, 197195155, 3983525470, 1227359150, 3243741640, 170335901, 2540851884, 2812935262, 1205921163, 2051834116, 4018095157, 2850805299, 2798430304, 2967529310, 2822981113, 1447103309, 3632575579, 389184524, 532996977, 1947501555, 38676169, 2431628817, 1055068556, 1761031313, 4010280501, 2794421955, 2354379386, 965687576, 1222630846, 3991257933, 1455821656, 4264066935, 1551000086, 2344548386, 2151631692, 441521402, 3807587668, 3701529910, 963889269, 3965914153, 3909107329, 290225599, 1771599976, 4176220201, 4011285909, 1957371891, 540091753, 1670159873, 1810164615, 1347453316, 1261391184, 4137605148, 4191698993, 2672526663, 840822698, 2332027308, 1967082817, 3098515331, 734862208, 960593185, 2088102210, 4170914605, 2470055060, 2471507530, 2261593014, 1314626253, 500606287, 1100764382, 970185057, 3401527918, 2726979120, 3408998445, 4100198161, 708987193, 1683077666, 4262833629, 1348801932, 3744209503, 749849397, 3363644507, 812015573, 2214355282, 3217409412, 2901095495, 3579858747, 470752564, 2527480795, 552979949, 941862108, 2294101261, 788168494, 3748855859, 2355231228, 3818227212, 28595866, 2880205975, 2755133627, 833553378, 570110534, 1905311140, 4080817864, 3556684908, 4124102038, 2253777974, 148561593, 1026062474, 1849785784, 656329297, 1525559608, 2237247821, 30890894, 1108618048, 1464443032, 3996203631, 169576507, 1310038443, 2431938882, 2100788071, 2857841871, 4119485855, 861206186, 290322827, 3653047356, 1184217272, 3408620608, 1939922519, 3539608908, 4267170500, 1263700272, 1188056275, 47774461, 3858864626, 1046565728, 2611619, 1228896851, 2633378137, 811307482, 1312393456, 1930089302, 3111013241, 1799884674, 1720546272, 1199041144, 2406753856, 2108495166, 2126345981, 1524975128, 1269232392, 3162531748, 3076707658, 1736955170, 1036221745, 1232435193, 3945348482, 1057631163, 520376289, 4154435769, 1280565077, 1865705876, 1030078366, 1140849319, 1769263412, 1161866807, 2768552980, 561022685, 2712685799, 1501252058, 3608433719, 3138564149, 4093654128, 1218455911, 892700607, 2012017510, 3568315757, 4002239824, 1754440379, 2641708101, 1027390781, 199831087, 1261208885, 2058433786, 2101649235, 220966013, 3445375335, 1100438514, 4075559840, 4244062658, 3417249884, 150102478, 3337395219, 2464869101, 3720375949, 93353579, 2329780067, 777826834, 2745626035, 2984812746, 568848158, 1593919595, 1166619196, 96177504, 305329591, 4271176854, 3829149188, 1551058535, 2828280993, 1367551996, 4208083082, 2260803683, 3118708147, 434935608, 702805370, 3544156958, 792712531, 231019757, 136272259, 4049968615, 2722527811, 603697698, 2891035509, 4270409302, 1220615076, 1932569338, 1084454986, 468729683, 2377913518, 2068946556, 530579176, 1422294615, 4032799503, 2065706770, 604700228, 98049660, 3182511353, 935830212, 1938107848, 1266035034, 957505506, 2758220503, 1805223938, 3393041584, 3958541336, 2695487012, 3355668819, 276889675, 3098939423, 415941187, 180737121, 2638873657, 1103150707, 4255168358, 2736183195, 1275942292, 2687807236, 538129710, 3337005391, 3941968393, 1113153386, 3813628384, 1775835369, 296314749, 1697642748, 3614403315, 1953056095, 2102878063, 3161706344, 2207159580, 3078233525, 3836286614, 886914072, 1884037075, 4135819784, 1616380780, 1672616998, 3879848699, 2277472209, 3933249848, 2428044648, 2876076879, 165724720, 2277165385, 1984963196, 1456923194, 2406217222, 3388886718, 47522558, 1903557801, 1959641458, 2325355446, 3251147398, 2266553941, 2243962024, 1420017618, 1791159474, 1793406225, 601509698, 3207357979, 1189285184, 148538800, 2077251302, 3267239327, 2851475997, }, { 2628162153, 3861478870, 2769884494, 3423483820, 1118276924, 536776894, 3742490940, 550084334, 2441329856, 2604618499, 2308745810, 1178166365, 1345165241, 4039508109, 1246601384, 3843182157, 2200144237, 91750284, 4290064840, 3363597477, 3243492274, 4271100308, 4186328336, 2291901989, 1834723222, 372220743, 2190417067, 2624886324, 3567647862, 1591175369, 2278087682, 2461678432, 232820452, 2714694382, 3070258434, 2412655444, 2667664607, 249083056, 4166379751, 1360927521, 2247816079, 3253689753, 1563674427, 1914999382, 2101454952, 1067816947, 1098201917, 4054175236, 1805828534, 1815913104, 738357340, 2597170030, 1689737432, 2004663483, 1160995461, 1008175050, 2004702919, 4258654415, 938972594, 2121583885, 2208729114, 276726877, 3973538591, 2991069145, 2345655326, 2980162173, 1915611444, 2332104940, 2382102873, 2324437093, 2640563452, 2680619359, 3413490949, 2140843463, 2424016743, 3735508133, 3421831326, 4037977349, 3721506282, 510431975, 1014707294, 1378686477, 1939678832, 2223101760, 2067687989, 309274614, 276596103, 3757624719, 1212251468, 2649271847, 4140361758, 2634738350, 2029358730, 3205861896, 3090549771, 3775019657, 2018542036, 3675805680, 3946144023, 331655838, 326568491, 1867863527, 1550945400, 3087000670, 2342003578, 3949479453, 586483056, 147951307, 503062740, 3823927166, 2789767841, 3121654578, 634238762, 4084629478, 3878778788, 435990088, 1724770389, 1403031256, 1334135626, 1096780503, 3288769545, 2793293893, 80675548, 1637232257, 1856565474, 2675485635, 1961165681, 1647512786, 4190102851, 4081320784, 2853183400, 3812341867, 278236392, 1700614299, 2765246084, 3846866009, 1220806787, 3655684157, 1133921183, 2779125219, 523552281, 703813725, 3110126767, 823843890, 290243102, 821297176, 364959993, 3381862130, 2305271841, 356059263, 2558018765, 3235968999, 1070598970, 2444411636, 3636221117, 4275517214, 4035198865, 3339014315, 2911872812, 4049586122, 4211583637, 2628162153, 3861478870, 2769884494, 3423483820, 3254616321, 536776894, 3742490940, 550084334, 2441329856, 1909596092, 2308745810, 1178166365, 1345165241, 4039508109, 1349347043, 3843182157, 2200144237, 91750284, 4290064840, 803098068, 3243492274, 4271100308, 4186328336, 2291901989, 2575673198, 372220743, 2190417067, 2624886324, 3567647862, 132569424, 2278087682, 2461678432, 232820452, 2714694382, 3490648253, 2412655444, 2667664607, 249083056, 4166379751, 3503294711, 2247816079, 3253689753, 1563674427, 1914999382, 3121933565, 1067816947, 1098201917, 4054175236, 1805828534, 816420552, 738357340, 2597170030, 1689737432, 2004663483, 397934907, 1008175050, 2004702919, 4258654415, 938972594, 156733019, 2208729114, 276726877, 3973538591, 2991069145, 2470446383, 2980162173, 1915611444, 2332104940, 2382102873, 3265195583, 2640563452, 2680619359, 3413490949, 2140843463, 142464483, 3735508133, 3421831326, 4037977349, 3721506282, 1898668265, 1014707294, 1378686477, 1939678832, 2223101760, 4085776926, 309274614, 276596103, 3757624719, 1212251468, 1116423339, 4140361758, 2634738350, 2029358730, 3205861896, 880658361, 3775019657, 2018542036, 3675805680, 3946144023, 839516623, 326568491, 1867863527, 1550945400, 3087000670, 420309880, 3949479453, 586483056, 147951307, 503062740, 416618471, 2789767841, 3121654578, 634238762, 4084629478, 1120413065, 435990088, 1724770389, 1403031256, 1334135626, 240966420, 3288769545, 2793293893, 80675548, 1637232257, 1785064235, 2675485635, 1961165681, 1647512786, 4190102851, 2775407492, 2853183400, 3812341867, 278236392, 1700614299, 2439624528, 3846866009, 1220806787, 3655684157, 1133921183, 366933679, 523552281, 703813725, 3110126767, 823843890, 132468066, 821297176, 364959993, 3381862130, 2305271841, 1048450041, 2558018765, 3235968999, 1070598970, 2444411636, 1699430013, 4275517214, 4035198865, 3339014315, 2911872812, 324524850, 4211583637, 2628162153, 3861478870, 2769884494, 1995585079, 3254616321, 536776894, 3742490940, 550084334, 2121458511, 1909596092, 2308745810, 1178166365, 1345165241, 3067877274, 1349347043, 3843182157, 2200144237, 91750284, 1246148630, 803098068, 3243492274, 4271100308, 4186328336, 2932236493, 2575673198, 372220743, 2190417067, 2624886324, 3945294599, 132569424, 2278087682, 2461678432, 232820452, 3341915918, 3490648253, 2412655444, 2667664607, 249083056, 2307336284, 3503294711, 2247816079, 3253689753, 1563674427, 1717494311, 3121933565, 1067816947, 1098201917, 4054175236, 971917867, 816420552, 738357340, 2597170030, 1689737432, 243915062, 397934907, 1008175050, 2004702919, 4258654415, 1807067458, 156733019, 2208729114, 276726877, 3973538591, 1909483753, 2470446383, 2980162173, 1915611444, 2332104940, 3454651559, 3265195583, 2640563452, 2680619359, 3413490949, 462852932, 142464483, 3735508133, 3421831326, 4037977349, 1372088341, 1898668265, 1014707294, 1378686477, 1939678832, 752503486, 4085776926, 309274614, 276596103, 3757624719, 4193030119, 1116423339, 4140361758, 2634738350, 2029358730, 1725105892, 880658361, 3775019657, 2018542036, 3675805680, 3496508290, 839516623, 326568491, 1867863527, 1550945400, 2685835387, 420309880, 3949479453, 586483056, 147951307, 1639139280, 416618471, 2789767841, 3121654578, 634238762, 3622035469, 1120413065, 435990088, 1724770389, 1403031256, 3548817929, 240966420, 3288769545, 2793293893, 80675548, 3119506726, 1785064235, 2675485635, 1961165681, 1647512786, 4019542081, 2775407492, 2853183400, 3812341867, 278236392, 3487875111, 2439624528, 3846866009, 1220806787, 3655684157, 3303554633, 366933679, 523552281, 703813725, 3110126767, 2477354049, 132468066, 821297176, 364959993, 3381862130, 4065162466, 1048450041, 2558018765, 3235968999, 1070598970, 191819556, 1699430013, 4275517214, 4035198865, 3339014315, 3588518026, 324524850, 4211583637, 2628162153, 3861478870, 3361198093, 1995585079, 3254616321, 536776894, 3742490940, 3912424229, 2121458511, 1909596092, 2308745810, 1178166365, 1882174246, 3067877274, 1349347043, 3843182157, 2200144237, 1210030640, 1246148630, 803098068, 3243492274, 4271100308, 402141998, 2932236493, 2575673198, 372220743, 2190417067, 1883679642, 3945294599, 132569424, 2278087682, 2461678432, 708189294, 3341915918, 3490648253, 2412655444, 2667664607, 2871800434, 2307336284, 3503294711, 2247816079, 3253689753, 2113837945, 1717494311, 3121933565, 1067816947, 1098201917, 1041869160, 971917867, 816420552, 738357340, 2597170030, 2306273930, 243915062, 397934907, 1008175050, 2004702919, 2345434637, 1807067458, 156733019, 2208729114, 276726877, 2452083872, 1909483753, 2470446383, 2980162173, 1915611444, 2043489400, 3454651559, 3265195583, 2640563452, 2680619359, 2845757473, 462852932, 142464483, 3735508133, 3421831326, 25103542, 1372088341, 1898668265, 1014707294, 1378686477, 2680788341, 752503486, 4085776926, 309274614, 276596103, 3663266970, 4193030119, 1116423339, 4140361758, 2634738350, 453005903, 1725105892, 880658361, 3775019657, 2018542036, 2601909713, 3496508290, 839516623, 326568491, 1867863527, 3474340574, 2685835387, 420309880, 3949479453, 586483056, 297934218, 1639139280, 416618471, 2789767841, 3121654578, 958889718, 3622035469, 1120413065, 435990088, 1724770389, 2589603756, 3548817929, 240966420, 3288769545, 2793293893, 972899860, 3119506726, 1785064235, 2675485635, 1961165681, 2576799764, 4019542081, 2775407492, 2853183400, 3812341867, 159345352, 3487875111, 2439624528, 3846866009, 1220806787, 3367080935, 3303554633, 366933679, 523552281, 703813725, 1717395617, 2477354049, 132468066, 821297176, 364959993, 1088290332, 4065162466, 1048450041, 2558018765, 3235968999, 285340039, 191819556, 1699430013, 4275517214, 4035198865, 3544133220, 285121978, 1175302919, 4101282768, 513236580, 890655666, 3051849972, 2315486379, 3067287276, 3134806925, 3926373006, 2502825498, 461387883, 770459119, 3121636621, 1243065093, 1612354797, 659033930, 621176955, 214256518, 371573588, 1168438671, 1233027650, 1984255965, 659404177, 1218841419, 1226193512, 4247589702, 334814687, 980422670, 2518384561, 4041002302, 1203659320, 509643440, 2528499450, 1512213710, 4052651069, 1378025938, 3436277168, 2797728577, 463383787, 1184681947, 283482187, 2421891582, 3200080903, 373817869, 452807139, 2002545143, 1068199574, 3390998240, 377559317, 1548403713, 1580741080, 253591624, 759280679, 2174360733, 1687952097, 1325235423, 3856575909, 652218568, 4130230594, 3757998028, 1349431618, 2870775414, 229741978, 1900794007, 201310771, 4075023260, 3390078853, 3572716207, 1959949436, 1000128498, 1636575064, 241058867, 2075461870, 1819342070, 619233032, 3164328001, 4280892071, 4219074185, 2719764611, 3827656652, 4062556527, 621515766, 2542375627, 3901998596, 2295087430, 2880672054, 2940372823, 2318642706, 914614262, 2549699597, 2907475284, 3901259809, 2663167002, 3775306719, 2212887565, 1271873285, 3673659531, 3856609875, 1195785209, 1204338358, 2785362544, 2398696803, 3038377816, 4288025143, 262511310, 4151907455, 924716723, 3298769960, 2065938273, 3277412030, 122636766, 2164055077, 1000638739, 2044933533, 2935604716, 2772787255, 3727331409, 1315627932, 2610657438, 832931652, 452359900, 681035792, 3312648046, 1059435047, 1489639114, 3647631796, 417952902, 731020350, 2847472725, 2779076784, 2674295324, 487600023, 2925909449, 3997011591, 3697231318, 967300591, 2310856069, 684710043, 811911286, 4174732177, 1010656728, 702780279, 920081774, 1578296057, 944734808, 2884038169, 2885919611, 2633474915, 2508946673, 3579216621, 656143887, 426108406, 2166202683, 991797657, 706498590, 561168186, 1144619335, 3136206425, }, { 3600072515, 651444872, 2348224675, 1684848433, 1913333701, 3413467790, 1567802204, 2125206188, 2463158656, 2251055204, 4132590383, 3192977084, 3718261822, 3431519430, 3506690867, 1313208797, 637811069, 12802085, 3456408080, 166617386, 1764224523, 4016338923, 2225367442, 2461647273, 3137989854, 373730087, 3013524828, 242949418, 3443491410, 3671816408, 2391000148, 3964107377, 716535366, 1884597979, 3917515811, 3441985401, 2472173593, 4034695117, 2486526143, 1658764329, 1873516415, 884116165, 814992460, 1069506245, 3797556389, 838088473, 2279863068, 1002637017, 4174541774, 644478743, 4138151954, 4030442072, 297710349, 3507828614, 1403493362, 3132267322, 227377796, 388148240, 2760904473, 352998924, 1603734504, 1528807885, 2283620218, 737730350, 2761342715, 809367801, 1667936422, 1510238771, 3762862328, 1171532060, 647580587, 1460988169, 3944640945, 2331043627, 1965076564, 2913596196, 2960957119, 1316491503, 3086954934, 3471945989, 2485431762, 692294537, 3148362914, 3371415765, 2990795967, 706771848, 3734467362, 2768750385, 2061275631, 3935582473, 1449841372, 1239527551, 592595530, 1685341001, 3352323357, 4147988039, 4003871917, 4035869533, 3022833195, 1266052547, 1429645393, 565106475, 327014810, 348739711, 3262918351, 915509292, 397356303, 3248246752, 1122821778, 2373765260, 1795464380, 3485315196, 1731529670, 86888382, 2789587372, 850847993, 1794523220, 577288126, 1996569530, 909222664, 2601642298, 1469035973, 2727135938, 3467853736, 633292505, 756260381, 41782389, 226724724, 3633968708, 1695315503, 1846857904, 3185630605, 823108172, 3609336496, 3422558797, 2865413534, 564221408, 591845835, 2498463433, 3573926554, 1336639597, 4180084026, 3195588503, 2822864841, 1916459886, 2073158796, 56968669, 1234765864, 2456093821, 3500058416, 3146725645, 3295822468, 4135196531, 628000231, 745509757, 4143543278, 1941480444, 3607603517, 2288239329, 1991437813, 4081693775, 3600072515, 651444872, 2348224675, 1684848433, 3748890341, 3413467790, 1567802204, 2125206188, 2463158656, 1516568259, 4132590383, 3192977084, 3718261822, 3431519430, 461466951, 1313208797, 637811069, 12802085, 3456408080, 3444149988, 1764224523, 4016338923, 2225367442, 2461647273, 2594402002, 373730087, 3013524828, 242949418, 3443491410, 2740782133, 2391000148, 3964107377, 716535366, 1884597979, 3161911677, 3441985401, 2472173593, 4034695117, 2486526143, 3623045141, 1873516415, 884116165, 814992460, 1069506245, 1053106195, 838088473, 2279863068, 1002637017, 4174541774, 1806935386, 4138151954, 4030442072, 297710349, 3507828614, 2328331779, 3132267322, 227377796, 388148240, 2760904473, 3654577129, 1603734504, 1528807885, 2283620218, 737730350, 2134741424, 809367801, 1667936422, 1510238771, 3762862328, 4084104273, 647580587, 1460988169, 3944640945, 2331043627, 3458437694, 2913596196, 2960957119, 1316491503, 3086954934, 2404530503, 2485431762, 692294537, 3148362914, 3371415765, 3697728317, 706771848, 3734467362, 2768750385, 2061275631, 1337146928, 1449841372, 1239527551, 592595530, 1685341001, 3121493408, 4147988039, 4003871917, 4035869533, 3022833195, 2709537023, 1429645393, 565106475, 327014810, 348739711, 1278935671, 915509292, 397356303, 3248246752, 1122821778, 1086107506, 1795464380, 3485315196, 1731529670, 86888382, 3645735256, 850847993, 1794523220, 577288126, 1996569530, 1126950, 2601642298, 1469035973, 2727135938, 3467853736, 3668777652, 756260381, 41782389, 226724724, 3633968708, 738274780, 1846857904, 3185630605, 823108172, 3609336496, 3371270228, 2865413534, 564221408, 591845835, 2498463433, 4157618574, 1336639597, 4180084026, 3195588503, 2822864841, 3844986377, 2073158796, 56968669, 1234765864, 2456093821, 1001761927, 3146725645, 3295822468, 4135196531, 628000231, 541676954, 4143543278, 1941480444, 3607603517, 2288239329, 1068806322, 4081693775, 3600072515, 651444872, 2348224675, 47991343, 3748890341, 3413467790, 1567802204, 2125206188, 2662653600, 1516568259, 4132590383, 3192977084, 3718261822, 2554440323, 461466951, 1313208797, 637811069, 12802085, 982676468, 3444149988, 1764224523, 4016338923, 2225367442, 451503008, 2594402002, 373730087, 3013524828, 242949418, 1086137206, 2740782133, 2391000148, 3964107377, 716535366, 731470002, 3161911677, 3441985401, 2472173593, 4034695117, 44456710, 3623045141, 1873516415, 884116165, 814992460, 4004771121, 1053106195, 838088473, 2279863068, 1002637017, 1587145121, 1806935386, 4138151954, 4030442072, 297710349, 2570695340, 2328331779, 3132267322, 227377796, 388148240, 3570998746, 3654577129, 1603734504, 1528807885, 2283620218, 188017185, 2134741424, 809367801, 1667936422, 1510238771, 1503613101, 4084104273, 647580587, 1460988169, 3944640945, 3301866374, 3458437694, 2913596196, 2960957119, 1316491503, 2674694926, 2404530503, 2485431762, 692294537, 3148362914, 1645995464, 3697728317, 706771848, 3734467362, 2768750385, 670964862, 1337146928, 1449841372, 1239527551, 592595530, 4204421245, 3121493408, 4147988039, 4003871917, 4035869533, 3652555523, 2709537023, 1429645393, 565106475, 327014810, 2716443687, 1278935671, 915509292, 397356303, 3248246752, 204830047, 1086107506, 1795464380, 3485315196, 1731529670, 662578255, 3645735256, 850847993, 1794523220, 577288126, 4237140216, 1126950, 2601642298, 1469035973, 2727135938, 92392213, 3668777652, 756260381, 41782389, 226724724, 1123105466, 738274780, 1846857904, 3185630605, 823108172, 2880110296, 3371270228, 2865413534, 564221408, 591845835, 2356214088, 4157618574, 1336639597, 4180084026, 3195588503, 4266261353, 3844986377, 2073158796, 56968669, 1234765864, 3166457679, 1001761927, 3146725645, 3295822468, 4135196531, 496099322, 541676954, 4143543278, 1941480444, 3607603517, 2578543796, 1068806322, 4081693775, 3600072515, 651444872, 1131603264, 47991343, 3748890341, 3413467790, 1567802204, 2823058381, 2662653600, 1516568259, 4132590383, 3192977084, 4247798474, 2554440323, 461466951, 1313208797, 637811069, 2744898822, 982676468, 3444149988, 1764224523, 4016338923, 2845667517, 451503008, 2594402002, 373730087, 3013524828, 3442521115, 1086137206, 2740782133, 2391000148, 3964107377, 4060067791, 731470002, 3161911677, 3441985401, 2472173593, 4227407417, 44456710, 3623045141, 1873516415, 884116165, 2550700713, 4004771121, 1053106195, 838088473, 2279863068, 1296332348, 1587145121, 1806935386, 4138151954, 4030442072, 2552496880, 2570695340, 2328331779, 3132267322, 227377796, 3887816270, 3570998746, 3654577129, 1603734504, 1528807885, 3365552060, 188017185, 2134741424, 809367801, 1667936422, 1358744245, 1503613101, 4084104273, 647580587, 1460988169, 2318828416, 3301866374, 3458437694, 2913596196, 2960957119, 49464436, 2674694926, 2404530503, 2485431762, 692294537, 1803418945, 1645995464, 3697728317, 706771848, 3734467362, 2407932841, 670964862, 1337146928, 1449841372, 1239527551, 1124552917, 4204421245, 3121493408, 4147988039, 4003871917, 3542256025, 3652555523, 2709537023, 1429645393, 565106475, 2063548817, 2716443687, 1278935671, 915509292, 397356303, 1049916999, 204830047, 1086107506, 1795464380, 3485315196, 2183256184, 662578255, 3645735256, 850847993, 1794523220, 2943700388, 4237140216, 1126950, 2601642298, 1469035973, 535075238, 92392213, 3668777652, 756260381, 41782389, 1043025574, 1123105466, 738274780, 1846857904, 3185630605, 3324487649, 2880110296, 3371270228, 2865413534, 564221408, 2528599862, 2356214088, 4157618574, 1336639597, 4180084026, 592094844, 4266261353, 3844986377, 2073158796, 56968669, 629503707, 3166457679, 1001761927, 3146725645, 3295822468, 2725304934, 496099322, 541676954, 4143543278, 1941480444, 3557859116, 31832949, 3805791401, 4056283801, 242812250, 4072988068, 2316479446, 2260433816, 2211372380, 2039672698, 2947948280, 4106140026, 342600216, 98745656, 2541799209, 926067404, 2733213159, 3163537903, 2800370126, 2099121446, 1279545581, 3699822446, 3764095615, 690503808, 3799637505, 1000641330, 242588257, 3657834529, 824791208, 2529299371, 4081898575, 2120338882, 1273883107, 1680877886, 1253060582, 1760259553, 2250763915, 31780198, 2511451445, 3102141340, 861489797, 105854693, 70927387, 2725671050, 688282241, 2622257646, 3466254816, 1905008219, 2980966436, 2154356718, 1075686806, 1966147415, 2357249256, 2684600972, 400926709, 523449509, 2891602783, 673425710, 3766475216, 2319843954, 3471794777, 13838840, 1908374660, 3839606132, 3829795513, 3403561639, 1369780874, 4276407916, 3217619, 1284482371, 2020138237, 2804427294, 1194369854, 1094800747, 2119081501, 726494474, 490750173, 1117517565, 3498786968, 2163060528, 696718831, 2780121254, 1286646297, 1594539045, 411215116, 1407268753, 2759136967, 2179483407, 2088977769, 2737453188, 2411478102, 3112688013, 4112484868, 429293789, 426390687, 3158027863, 2601897382, 1546855515, 4258208908, 3691263847, 2394986813, 1986623921, 2632462203, 3551311099, 3309482741, 2632571927, 1200010240, 554555739, 4119397989, 622818813, 3116222066, 1801867255, 2738500841, 1452697246, 733457482, 1680421668, 1035766144, 468847991, 3606474156, 2612692123, 730556693, 859096521, 4005878655, 1138273887, 2182363629, 2710579590, 3345140092, 2562710857, 3859276724, 2318176233, 3964665794, 3295219265, 3037789445, 371545704, 3434130670, 3686032092, 19964088, 340386179, 2147090894, 1446742483, 3083526520, 561888846, 2903328518, 1524465288, 360120037, 2031515996, 1516035872, 2752848969, 1094251072, 984159948, 369999653, 864602622, 2402584241, 3028363830, 252580667, 480470405, 3201548259, 2739036185, 2198549891, 1978812013, }, { 2546657140, 2771792972, 3371698159, 1137313111, 2399264952, 1204642544, 2090179262, 2948712987, 2908027331, 498636511, 2292804841, 1480836858, 2826016727, 196495965, 2168559184, 3910150715, 320076735, 3144753899, 3199094529, 1165806050, 728308199, 2322528104, 2891334400, 561853019, 4161870615, 1348321971, 2461357166, 1216229488, 1392766290, 3060494848, 3282469664, 1866493654, 2351421557, 4195620347, 1512242723, 478174598, 1087303780, 471631659, 2599553643, 791527994, 563537164, 1238109907, 3218421602, 133222502, 4182363220, 305688802, 2666439314, 2408520958, 787389550, 4226450542, 4107143646, 4103547035, 1840887424, 2686247491, 334267386, 3772035402, 3436827662, 1411515743, 2193739735, 1892746640, 4163192062, 2921191805, 1011310614, 2178118214, 33647321, 1121452997, 507942677, 2542792587, 351339975, 1586639416, 1918003826, 2513357034, 2747854573, 606238275, 1132105249, 574593993, 2655425816, 1680556547, 1831942411, 2587194016, 90710116, 4291431098, 1899367028, 3251152898, 3297078396, 2712235924, 1546135008, 897753268, 1619454780, 938130143, 1828916640, 3620488958, 1822437033, 172584228, 1853048226, 3659288522, 3623450763, 1893292786, 851522142, 3411705687, 4106341088, 4109830348, 1193339049, 878885723, 2964062476, 2320209608, 1777678953, 2886897705, 3856938396, 252913914, 3648685154, 544382669, 2631141468, 1524405364, 1848509666, 580646927, 2451560151, 181916967, 1426301928, 1652422182, 2625099169, 176664750, 1582626255, 1675120608, 2571617898, 2096572277, 2471745846, 419906507, 886861124, 1974832558, 3157060904, 216000225, 746978071, 1424984058, 1457979883, 809822177, 3833178010, 3926414726, 1423462846, 3024443248, 4067020014, 2881559869, 1376840097, 548130303, 1118013762, 1309103114, 2227304261, 4205319357, 228947246, 2167410411, 620496852, 2724112116, 705259153, 3499686911, 3085999115, 2447267299, 4190122199, 1091465954, 1233728238, 39711865, 1076751044, 2546657140, 2771792972, 3371698159, 1137313111, 3857150586, 1204642544, 2090179262, 2948712987, 2908027331, 368199414, 2292804841, 1480836858, 2826016727, 196495965, 3235583934, 3910150715, 320076735, 3144753899, 3199094529, 1374597050, 728308199, 2322528104, 2891334400, 561853019, 1515915224, 1348321971, 2461357166, 1216229488, 1392766290, 15252704, 3282469664, 1866493654, 2351421557, 4195620347, 192355609, 478174598, 1087303780, 471631659, 2599553643, 1725604263, 563537164, 1238109907, 3218421602, 133222502, 305098282, 305688802, 2666439314, 2408520958, 787389550, 3195522899, 4107143646, 4103547035, 1840887424, 2686247491, 1565529892, 3772035402, 3436827662, 1411515743, 2193739735, 1848198417, 4163192062, 2921191805, 1011310614, 2178118214, 3474206203, 1121452997, 507942677, 2542792587, 351339975, 3599278861, 1918003826, 2513357034, 2747854573, 606238275, 446979745, 574593993, 2655425816, 1680556547, 1831942411, 3338512802, 90710116, 4291431098, 1899367028, 3251152898, 1006512939, 2712235924, 1546135008, 897753268, 1619454780, 1429190743, 1828916640, 3620488958, 1822437033, 172584228, 2529855020, 3659288522, 3623450763, 1893292786, 851522142, 1417935793, 4106341088, 4109830348, 1193339049, 878885723, 1886400637, 2320209608, 1777678953, 2886897705, 3856938396, 1813134786, 3648685154, 544382669, 2631141468, 1524405364, 687661410, 580646927, 2451560151, 181916967, 1426301928, 1463347373, 2625099169, 176664750, 1582626255, 1675120608, 3387060344, 2096572277, 2471745846, 419906507, 886861124, 4209699955, 3157060904, 216000225, 746978071, 1424984058, 3063941448, 809822177, 3833178010, 3926414726, 1423462846, 750559587, 4067020014, 2881559869, 1376840097, 548130303, 4056763004, 1309103114, 2227304261, 4205319357, 228947246, 774411056, 620496852, 2724112116, 705259153, 3499686911, 2486247387, 2447267299, 4190122199, 1091465954, 1233728238, 54639263, 1076751044, 2546657140, 2771792972, 3371698159, 1152150303, 3857150586, 1204642544, 2090179262, 2948712987, 452427847, 368199414, 2292804841, 1480836858, 2826016727, 1929008184, 3235583934, 3910150715, 320076735, 3144753899, 895636897, 1374597050, 728308199, 2322528104, 2891334400, 1871824871, 1515915224, 1348321971, 2461357166, 1216229488, 3170568098, 15252704, 3282469664, 1866493654, 2351421557, 4253216490, 192355609, 478174598, 1087303780, 471631659, 4230260400, 1725604263, 563537164, 1238109907, 3218421602, 960481514, 305098282, 305688802, 2666439314, 2408520958, 242741163, 3195522899, 4107143646, 4103547035, 1840887424, 2768321503, 1565529892, 3772035402, 3436827662, 1411515743, 545362965, 1848198417, 4163192062, 2921191805, 1011310614, 1196775493, 3474206203, 1121452997, 507942677, 2542792587, 1948892535, 3599278861, 1918003826, 2513357034, 2747854573, 4172793632, 446979745, 574593993, 2655425816, 1680556547, 2986869736, 3338512802, 90710116, 4291431098, 1899367028, 3376952160, 1006512939, 2712235924, 1546135008, 897753268, 2061577225, 1429190743, 1828916640, 3620488958, 1822437033, 4221327184, 2529855020, 3659288522, 3623450763, 1893292786, 16446898, 1417935793, 4106341088, 4109830348, 1193339049, 2895194326, 1886400637, 2320209608, 1777678953, 2886897705, 117861450, 1813134786, 3648685154, 544382669, 2631141468, 1105253905, 687661410, 580646927, 2451560151, 181916967, 1605087684, 1463347373, 2625099169, 176664750, 1582626255, 1993431057, 3387060344, 2096572277, 2471745846, 419906507, 3219719670, 4209699955, 3157060904, 216000225, 746978071, 3304126047, 3063941448, 809822177, 3833178010, 3926414726, 4061584738, 750559587, 4067020014, 2881559869, 1376840097, 973425409, 4056763004, 1309103114, 2227304261, 4205319357, 939664759, 774411056, 620496852, 2724112116, 705259153, 176172666, 2486247387, 2447267299, 4190122199, 1091465954, 300145620, 54639263, 1076751044, 2546657140, 2771792972, 188149161, 1152150303, 3857150586, 1204642544, 2090179262, 626100323, 452427847, 368199414, 2292804841, 1480836858, 2700509669, 1929008184, 3235583934, 3910150715, 320076735, 1715326239, 895636897, 1374597050, 728308199, 2322528104, 2356051490, 1871824871, 1515915224, 1348321971, 2461357166, 243332180, 3170568098, 15252704, 3282469664, 1866493654, 4079212881, 4253216490, 192355609, 478174598, 1087303780, 3787911270, 4230260400, 1725604263, 563537164, 1238109907, 1147223471, 960481514, 305098282, 305688802, 2666439314, 1503870433, 242741163, 3195522899, 4107143646, 4103547035, 4041516761, 2768321503, 1565529892, 3772035402, 3436827662, 3952861918, 545362965, 1848198417, 4163192062, 2921191805, 793561655, 1196775493, 3474206203, 1121452997, 507942677, 3788690254, 1948892535, 3599278861, 1918003826, 2513357034, 3301940062, 4172793632, 446979745, 574593993, 2655425816, 667233719, 2986869736, 3338512802, 90710116, 4291431098, 2027122085, 3376952160, 1006512939, 2712235924, 1546135008, 2609276017, 2061577225, 1429190743, 1828916640, 3620488958, 1603195641, 4221327184, 2529855020, 3659288522, 3623450763, 2313432963, 16446898, 1417935793, 4106341088, 4109830348, 4106013120, 2895194326, 1886400637, 2320209608, 1777678953, 1952597964, 117861450, 1813134786, 3648685154, 544382669, 3108229631, 1105253905, 687661410, 580646927, 2451560151, 1160575897, 1605087684, 1463347373, 2625099169, 176664750, 1998534134, 1993431057, 3387060344, 2096572277, 2471745846, 2246406696, 3219719670, 4209699955, 3157060904, 216000225, 902956869, 3304126047, 3063941448, 809822177, 3833178010, 815366736, 4061584738, 750559587, 4067020014, 2881559869, 350775477, 973425409, 4056763004, 1309103114, 2227304261, 2047915817, 939664759, 774411056, 620496852, 2724112116, 3593903529, 176172666, 2486247387, 2447267299, 4190122199, 1450746791, 1521739409, 272699299, 4113952664, 1408743622, 4082014187, 2454446462, 1401621236, 2050232096, 4204834821, 2413497685, 1032465253, 4276089655, 1737267711, 3335718398, 1924071395, 1560525661, 3064183869, 1775038231, 89761304, 489201378, 1236489133, 2774076159, 822652970, 1583752702, 1781766972, 2238480533, 3428349870, 3344555477, 2251934941, 2533404243, 3651295253, 2359372862, 704049384, 3238382362, 2405156187, 2572833624, 531907732, 2240111412, 4102445586, 849739856, 3649572083, 3317634415, 1141345331, 1118528358, 1664181643, 648360156, 1364897187, 289264571, 1625825195, 1075970578, 3925373833, 2780782646, 727038162, 2824687935, 3844230994, 2070739238, 2437298873, 1837327520, 4248571219, 183041221, 3759390508, 3881974011, 658115161, 560642175, 32860408, 1321227669, 1380454450, 1676524786, 476585241, 4034481274, 1110506516, 815601591, 2009522227, 2168306897, 1856639149, 1328281664, 2710915389, 1886116025, 2074502324, 23109943, 670045122, 2926671795, 4269143768, 2688621201, 1618605914, 1541217762, 4273045819, 1029546542, 3663663567, 1402692384, 109336276, 2446546057, 2225682064, 3535545430, 3847123891, 369718877, 3411726117, 703735748, 3139527634, 22388546, 998860697, 2532911305, 1532808237, 4170332196, 1131906845, 1814343609, 4161931326, 1185668213, 1903273604, 3466154373, 3988139604, 1079368270, 991305574, 898158502, 2898908951, 651161128, 1952607949, 1221528540, 29979722, 3006846808, 2911550178, 2569412437, 1460616937, 2127921978, 3689931108, 950505297, 3469337654, 3180457017, 2316433735, 1464678429, 2867173456, 391248106, 3622065314, 2143251073, 860219584, 323835636, 340886643, 1805485977, 109344001, 1537119779, 1795626099, 2568079633, 3048040562, 1204069532, 2488753091, 2160014198, 3132782711, 1266102795, 91252225, 2018366053, 39675212, 979320891, 343397131, 814470367, 366655857, 3287033048, 3379301026, 1566381433, 3431153818, }, { 2234324389, 1682296894, 3526681456, 3988544681, 1315506584, 1754723911, 3607564438, 3764062195, 3408328234, 2385116969, 3827569659, 4104590721, 2612634189, 1762747544, 1676800931, 1814546108, 2684685172, 1659194343, 3381624140, 2286640580, 688245437, 2593335056, 1657668516, 1161309746, 3390664973, 2460564382, 2811435329, 2169200311, 2768093584, 4288309691, 1341061221, 1361417084, 3060155336, 2526021346, 1037055386, 890124736, 2185462193, 765141735, 1841745804, 3562499272, 1437907207, 2127475991, 2845453063, 4007976206, 4160093314, 2717704308, 4193767498, 1667876711, 3477753188, 3150367681, 3224086539, 231347764, 2737121599, 1230656103, 4168131490, 1463860373, 2760968409, 2579133178, 2309591728, 2958907244, 1041094855, 685134804, 3861095208, 1088109135, 815655228, 2618003265, 3454840568, 1668276240, 1668403077, 663034899, 4020374281, 1896863688, 677285319, 4047674693, 4098535894, 2038783953, 236635760, 3641273565, 3568356824, 3405704765, 186484522, 3626346451, 3653227559, 281949942, 1847600066, 4168753288, 1723123703, 3600798445, 4267802363, 2947454105, 468768748, 2745777741, 26635454, 837186232, 206931043, 2601865569, 2021732453, 3171165636, 786833002, 116631308, 1604778670, 437644814, 2437761489, 3573139998, 2637030522, 972076738, 4075927397, 1427554739, 597414077, 559325169, 1774857312, 224593737, 3697511293, 3905126277, 2446278950, 1847061846, 333176687, 2988562696, 3623938567, 2389910304, 4273100167, 1673622334, 2163644598, 3666601063, 3971760462, 4176957983, 565952761, 566996714, 103136762, 3648349163, 115456167, 3265051494, 2826313040, 1898888678, 3921049266, 1276809956, 4051866478, 959265349, 851980436, 3105565302, 2905096898, 342438530, 3428101638, 912389587, 2306839396, 3613297213, 200159550, 3406974927, 832121231, 2998593393, 1242069873, 1464281204, 1828082526, 2620095350, 3727900009, 986958825, 3332332947, 1610600284, 3193282615, 1873987353, 537698841, 2234324389, 1682296894, 3526681456, 3988544681, 1112334635, 1754723911, 3607564438, 3764062195, 3408328234, 2702680798, 3827569659, 4104590721, 2612634189, 1762747544, 1596420149, 1814546108, 2684685172, 1659194343, 3381624140, 2424233156, 688245437, 2593335056, 1657668516, 1161309746, 260803614, 2460564382, 2811435329, 2169200311, 2768093584, 1426048416, 1341061221, 1361417084, 3060155336, 2526021346, 688976997, 890124736, 2185462193, 765141735, 1841745804, 1113361455, 1437907207, 2127475991, 2845453063, 4007976206, 1719248425, 2717704308, 4193767498, 1667876711, 3477753188, 449353539, 3224086539, 231347764, 2737121599, 1230656103, 2122699205, 1463860373, 2760968409, 2579133178, 2309591728, 4017154219, 1041094855, 685134804, 3861095208, 1088109135, 3954527144, 2618003265, 3454840568, 1668276240, 1668403077, 3235241899, 4020374281, 1896863688, 677285319, 4047674693, 4043186819, 2038783953, 236635760, 3641273565, 3568356824, 3946220303, 186484522, 3626346451, 3653227559, 281949942, 1896524045, 4168753288, 1723123703, 3600798445, 4267802363, 412498526, 468768748, 2745777741, 26635454, 837186232, 1473941762, 2601865569, 2021732453, 3171165636, 786833002, 3461566768, 1604778670, 437644814, 2437761489, 3573139998, 306196591, 972076738, 4075927397, 1427554739, 597414077, 2401305323, 1774857312, 224593737, 3697511293, 3905126277, 1527832817, 1847061846, 333176687, 2988562696, 3623938567, 2731158470, 4273100167, 1673622334, 2163644598, 3666601063, 1991088422, 4176957983, 565952761, 566996714, 103136762, 1639884175, 115456167, 3265051494, 2826313040, 1898888678, 2976556877, 1276809956, 4051866478, 959265349, 851980436, 2482970929, 2905096898, 342438530, 3428101638, 912389587, 2716490551, 3613297213, 200159550, 3406974927, 832121231, 2865829307, 1242069873, 1464281204, 1828082526, 2620095350, 3671861666, 986958825, 3332332947, 1610600284, 3193282615, 164496953, 537698841, 2234324389, 1682296894, 3526681456, 486931321, 1112334635, 1754723911, 3607564438, 3764062195, 898439171, 2702680798, 3827569659, 4104590721, 2612634189, 1703436382, 1596420149, 1814546108, 2684685172, 1659194343, 3421607784, 2424233156, 688245437, 2593335056, 1657668516, 362342820, 260803614, 2460564382, 2811435329, 2169200311, 4248717010, 1426048416, 1341061221, 1361417084, 3060155336, 2693026827, 688976997, 890124736, 2185462193, 765141735, 2445632748, 1113361455, 1437907207, 2127475991, 2845453063, 1830953748, 1719248425, 2717704308, 4193767498, 1667876711, 2469362144, 449353539, 3224086539, 231347764, 2737121599, 2917779591, 2122699205, 1463860373, 2760968409, 2579133178, 2600345316, 4017154219, 1041094855, 685134804, 3861095208, 3682591427, 3954527144, 2618003265, 3454840568, 1668276240, 988400088, 3235241899, 4020374281, 1896863688, 677285319, 2749516227, 4043186819, 2038783953, 236635760, 3641273565, 4073317913, 3946220303, 186484522, 3626346451, 3653227559, 872336642, 1896524045, 4168753288, 1723123703, 3600798445, 524095357, 412498526, 468768748, 2745777741, 26635454, 840544541, 1473941762, 2601865569, 2021732453, 3171165636, 1058640324, 3461566768, 1604778670, 437644814, 2437761489, 3615438045, 306196591, 972076738, 4075927397, 1427554739, 2369367008, 2401305323, 1774857312, 224593737, 3697511293, 4186564433, 1527832817, 1847061846, 333176687, 2988562696, 4039340326, 2731158470, 4273100167, 1673622334, 2163644598, 307949376, 1991088422, 4176957983, 565952761, 566996714, 4159448552, 1639884175, 115456167, 3265051494, 2826313040, 2698725478, 2976556877, 1276809956, 4051866478, 959265349, 293029699, 2482970929, 2905096898, 342438530, 3428101638, 4172766741, 2716490551, 3613297213, 200159550, 3406974927, 3723281866, 2865829307, 1242069873, 1464281204, 1828082526, 3304191156, 3671861666, 986958825, 3332332947, 1610600284, 2370407607, 164496953, 537698841, 2234324389, 1682296894, 826891606, 486931321, 1112334635, 1754723911, 3607564438, 3598993552, 898439171, 2702680798, 3827569659, 4104590721, 1421852097, 1703436382, 1596420149, 1814546108, 2684685172, 4090587429, 3421607784, 2424233156, 688245437, 2593335056, 4151905751, 362342820, 260803614, 2460564382, 2811435329, 2402832015, 4248717010, 1426048416, 1341061221, 1361417084, 1629089021, 2693026827, 688976997, 890124736, 2185462193, 303105066, 2445632748, 1113361455, 1437907207, 2127475991, 62024604, 1830953748, 1719248425, 2717704308, 4193767498, 667433630, 2469362144, 449353539, 3224086539, 231347764, 3918249451, 2917779591, 2122699205, 1463860373, 2760968409, 4274016442, 2600345316, 4017154219, 1041094855, 685134804, 643006688, 3682591427, 3954527144, 2618003265, 3454840568, 4180665518, 988400088, 3235241899, 4020374281, 1896863688, 3678687414, 2749516227, 4043186819, 2038783953, 236635760, 2880089648, 4073317913, 3946220303, 186484522, 3626346451, 2454620114, 872336642, 1896524045, 4168753288, 1723123703, 2692406059, 524095357, 412498526, 468768748, 2745777741, 918726515, 840544541, 1473941762, 2601865569, 2021732453, 3534238020, 1058640324, 3461566768, 1604778670, 437644814, 2894699005, 3615438045, 306196591, 972076738, 4075927397, 3468671461, 2369367008, 2401305323, 1774857312, 224593737, 2734827022, 4186564433, 1527832817, 1847061846, 333176687, 2437714719, 4039340326, 2731158470, 4273100167, 1673622334, 196072958, 307949376, 1991088422, 4176957983, 565952761, 847200194, 4159448552, 1639884175, 115456167, 3265051494, 2503079777, 2698725478, 2976556877, 1276809956, 4051866478, 2731665893, 293029699, 2482970929, 2905096898, 342438530, 581060953, 4172766741, 2716490551, 3613297213, 200159550, 4222335623, 3723281866, 2865829307, 1242069873, 1464281204, 1080647953, 3304191156, 3671861666, 986958825, 3332332947, 920422540, 3656094274, 4036161427, 2157099981, 1855437762, 1385781426, 199192882, 489599802, 3472601685, 717544078, 2241742884, 3951326913, 3590866192, 1087524220, 3517385549, 360484251, 2718513148, 1386577185, 1833613127, 2926418589, 1652463225, 548895720, 1343026759, 1797789098, 3229783023, 1745843414, 200554865, 2442780740, 2359926428, 2970332116, 3097392757, 134294482, 936225458, 1968264650, 64868134, 3821668262, 2502175363, 1623767635, 2936073062, 1991791011, 2971174068, 3142195911, 2874818345, 2192526584, 496586185, 2491564144, 2415210641, 314307270, 2936737494, 557604388, 1067914024, 3270690738, 375601880, 962749065, 3610467620, 402112984, 1432929499, 3872957776, 3971384069, 2223968592, 407083609, 2178236674, 1806303230, 3397564470, 12158764, 415570813, 4033667395, 3687406137, 801878150, 953500350, 3667783172, 1203668106, 902418194, 779786150, 774683730, 2870261992, 509192460, 1961621392, 1064906432, 3665710891, 1733725153, 1887608856, 1314631523, 4097239005, 29074501, 3472521950, 4040841657, 532128023, 2333441401, 1671717886, 1678544416, 1218347584, 3680929567, 4025753853, 2810948711, 1846100306, 3377469279, 3144481747, 2625781306, 730632118, 3162408393, 3423660386, 1364968369, 4270900402, 1075484840, 2892932277, 3700635052, 3853022563, 281755151, 1530909868, 2364069707, 2361723426, 738500028, 1401903990, 1543704261, 2442916222, 1076190609, 1882477803, 740024557, 1591015439, 2730909167, 2723330839, 1637373491, 3777799860, 2921269571, 3698591972, 3997463570, 3877862147, 1912888417, 3365137165, 3465700492, 771243134, 4037723169, 1715894739, 1025821874, 1924958945, 3382242859, 121591031, 483980724, 546523388, 2446882279, 856267778, 578739009, 2978085488, 480884914, 966764808, 457039953, 3817520708, 1113646451, 2503896910, 3507840816, 717151671, 4149352573, 1568869830, 395015863, 773165995, 1853682362, 2861368846, 1884368812, 1250092101, }, { 916910638, 961623451, 1193013401, 1016438484, 4091279871, 287282633, 8590725, 3575333670, 324340905, 3133751747, 2840894649, 2980503178, 1111215768, 2783846375, 72516413, 4158424384, 2184094569, 2305724254, 4057093054, 1407652993, 3105191537, 768505376, 298782270, 993926164, 2694730042, 1479658113, 2376490281, 2767906402, 1619969256, 3256472015, 2563843533, 2974784738, 2529307107, 4289918826, 3105587575, 3748950898, 2182744253, 431888679, 3780324902, 2525978209, 54545903, 1688749940, 2394884334, 3477656171, 263834270, 1562965459, 804704330, 4185729868, 138898835, 2113063150, 327612841, 1252226275, 935318076, 2956823075, 4095101181, 1510586062, 156282440, 3386839706, 2294393752, 1306167091, 4005033667, 651716500, 4115192738, 123027719, 3873547487, 2910637335, 2571924586, 3489608656, 956791985, 2467423726, 3214531645, 2054232851, 49634692, 377192215, 1865068750, 2479252980, 3481787748, 3243507737, 605491073, 4062466752, 988602517, 1539348794, 1555068617, 2657884010, 460334294, 4240766479, 3639800790, 253377117, 3969136265, 488705329, 1722560286, 2289159295, 1025876008, 2927117896, 767521707, 2047999999, 4260853571, 2079302241, 2409677301, 1087552976, 2363907365, 2574464321, 2606273241, 3716086457, 26053603, 3162779415, 14843078, 2614076143, 1157531920, 2773275636, 2338825066, 435472225, 1399711137, 1224374788, 2154533280, 560135209, 935800607, 1940258814, 3826959530, 3423217355, 3704934971, 3815248829, 3878175339, 1395508015, 3295101527, 177901558, 4167531389, 1375148189, 3125377631, 557218961, 4088880299, 3478859071, 3687276754, 2845114223, 1713171361, 1756507633, 3160807894, 2375334470, 843542578, 1907952570, 1544844563, 2294372007, 3336681376, 734347193, 102566945, 2311037104, 4294750194, 3572240326, 732958152, 263733314, 2087890678, 331542297, 3549110380, 2073894939, 2104101380, 3670791368, 3122901693, 3799823891, 3783548253, 1102633864, 44327348, 916910638, 961623451, 1193013401, 1016438484, 1873779640, 287282633, 8590725, 3575333670, 324340905, 1144671533, 2840894649, 2980503178, 1111215768, 2783846375, 2000673937, 4158424384, 2184094569, 2305724254, 4057093054, 533488413, 3105191537, 768505376, 298782270, 993926164, 2015456740, 1479658113, 2376490281, 2767906402, 1619969256, 3120736988, 2563843533, 2974784738, 2529307107, 4289918826, 729503771, 3748950898, 2182744253, 431888679, 3780324902, 373638396, 54545903, 1688749940, 2394884334, 3477656171, 1083764681, 1562965459, 804704330, 4185729868, 138898835, 823405282, 327612841, 1252226275, 935318076, 2956823075, 899234846, 1510586062, 156282440, 3386839706, 2294393752, 2769934879, 4005033667, 651716500, 4115192738, 123027719, 3729538641, 2910637335, 2571924586, 3489608656, 956791985, 139360134, 3214531645, 2054232851, 49634692, 377192215, 2754746969, 2479252980, 3481787748, 3243507737, 605491073, 732155706, 988602517, 1539348794, 1555068617, 2657884010, 3753733088, 4240766479, 3639800790, 253377117, 3969136265, 3848735787, 1722560286, 2289159295, 1025876008, 2927117896, 3661948694, 2047999999, 4260853571, 2079302241, 2409677301, 3421911122, 2363907365, 2574464321, 2606273241, 3716086457, 2064343322, 3162779415, 14843078, 2614076143, 1157531920, 826449637, 2338825066, 435472225, 1399711137, 1224374788, 3770340198, 560135209, 935800607, 1940258814, 3826959530, 2963586762, 3704934971, 3815248829, 3878175339, 1395508015, 3721612680, 177901558, 4167531389, 1375148189, 3125377631, 1023552290, 4088880299, 3478859071, 3687276754, 2845114223, 3831557301, 1756507633, 3160807894, 2375334470, 843542578, 2798365898, 1544844563, 2294372007, 3336681376, 734347193, 1856808621, 2311037104, 4294750194, 3572240326, 732958152, 1999195012, 2087890678, 331542297, 3549110380, 2073894939, 3115936764, 3670791368, 3122901693, 3799823891, 3783548253, 132796150, 44327348, 916910638, 961623451, 1193013401, 1753944196, 1873779640, 287282633, 8590725, 3575333670, 1447720209, 1144671533, 2840894649, 2980503178, 1111215768, 1211945983, 2000673937, 4158424384, 2184094569, 2305724254, 402617261, 533488413, 3105191537, 768505376, 298782270, 2915553159, 2015456740, 1479658113, 2376490281, 2767906402, 3473761811, 3120736988, 2563843533, 2974784738, 2529307107, 737859212, 729503771, 3748950898, 2182744253, 431888679, 2013420163, 373638396, 54545903, 1688749940, 2394884334, 675998523, 1083764681, 1562965459, 804704330, 4185729868, 1165431355, 823405282, 327612841, 1252226275, 935318076, 2420680216, 899234846, 1510586062, 156282440, 3386839706, 2101339651, 2769934879, 4005033667, 651716500, 4115192738, 112049740, 3729538641, 2910637335, 2571924586, 3489608656, 305695595, 139360134, 3214531645, 2054232851, 49634692, 1073828255, 2754746969, 2479252980, 3481787748, 3243507737, 3392719169, 732155706, 988602517, 1539348794, 1555068617, 3246776527, 3753733088, 4240766479, 3639800790, 253377117, 872273450, 3848735787, 1722560286, 2289159295, 1025876008, 4168154213, 3661948694, 2047999999, 4260853571, 2079302241, 2380420842, 3421911122, 2363907365, 2574464321, 2606273241, 3881916078, 2064343322, 3162779415, 14843078, 2614076143, 473288515, 826449637, 2338825066, 435472225, 1399711137, 3068538992, 3770340198, 560135209, 935800607, 1940258814, 1469655183, 2963586762, 3704934971, 3815248829, 3878175339, 2410602840, 3721612680, 177901558, 4167531389, 1375148189, 1367577763, 1023552290, 4088880299, 3478859071, 3687276754, 678224549, 3831557301, 1756507633, 3160807894, 2375334470, 2884561721, 2798365898, 1544844563, 2294372007, 3336681376, 1938834658, 1856808621, 2311037104, 4294750194, 3572240326, 2786764913, 1999195012, 2087890678, 331542297, 3549110380, 3597797341, 3115936764, 3670791368, 3122901693, 3799823891, 1271317799, 132796150, 44327348, 916910638, 961623451, 2427821332, 1753944196, 1873779640, 287282633, 8590725, 1244012658, 1447720209, 1144671533, 2840894649, 2980503178, 3548902577, 1211945983, 2000673937, 4158424384, 2184094569, 2152623453, 402617261, 533488413, 3105191537, 768505376, 1095141108, 2915553159, 2015456740, 1479658113, 2376490281, 337998873, 3473761811, 3120736988, 2563843533, 2974784738, 3087228498, 737859212, 729503771, 3748950898, 2182744253, 2140410733, 2013420163, 373638396, 54545903, 1688749940, 528290088, 675998523, 1083764681, 1562965459, 804704330, 2536362875, 1165431355, 823405282, 327612841, 1252226275, 4037635314, 2420680216, 899234846, 1510586062, 156282440, 2012335895, 2101339651, 2769934879, 4005033667, 651716500, 2552583570, 112049740, 3729538641, 2910637335, 2571924586, 2436645403, 305695595, 139360134, 3214531645, 2054232851, 2384286326, 1073828255, 2754746969, 2479252980, 3481787748, 1948315585, 3392719169, 732155706, 988602517, 1539348794, 4110558494, 3246776527, 3753733088, 4240766479, 3639800790, 3627363812, 872273450, 3848735787, 1722560286, 2289159295, 4122430477, 4168154213, 3661948694, 2047999999, 4260853571, 1767882442, 2380420842, 3421911122, 2363907365, 2574464321, 2778622726, 3881916078, 2064343322, 3162779415, 14843078, 1513897109, 473288515, 826449637, 2338825066, 435472225, 322954918, 3068538992, 3770340198, 560135209, 935800607, 345602050, 1469655183, 2963586762, 3704934971, 3815248829, 3508249920, 2410602840, 3721612680, 177901558, 4167531389, 2161244150, 1367577763, 1023552290, 4088880299, 3478859071, 1108183104, 678224549, 3831557301, 1756507633, 3160807894, 2551630811, 2884561721, 2798365898, 1544844563, 2294372007, 2520267760, 1938834658, 1856808621, 2311037104, 4294750194, 2310096003, 2786764913, 1999195012, 2087890678, 331542297, 1205238749, 3597797341, 3115936764, 3670791368, 3122901693, 2008141679, 2018425028, 3435073328, 1452813805, 1628661138, 1323367156, 1062553693, 4029321700, 2772685842, 3798388850, 1315172209, 3930983291, 3816791373, 529176017, 3419610188, 3331589216, 4016977274, 2047089790, 3892571923, 2363414008, 1144631948, 3004954882, 2558739305, 19774033, 2525079911, 3774885821, 2817837373, 986111566, 1446678953, 3238485630, 3993748600, 1601954599, 3100591537, 2098009380, 3935971261, 4202546603, 3713465083, 3845664764, 2466365355, 1452340065, 2003576531, 1013434822, 2254608933, 783902023, 3129770529, 129130612, 821418228, 350036483, 3473671510, 4128495167, 2773832518, 683262085, 2143353417, 256251732, 1719056536, 2670223618, 328467339, 1564657740, 451231672, 2788353006, 882900088, 3255241056, 3198073758, 2541070985, 1941509325, 674933160, 207753676, 2605303964, 1681335994, 1143520001, 448872632, 302917879, 1100138495, 2058770021, 3116955098, 2081754747, 3734924767, 1916718058, 3873335960, 2740460398, 2171157007, 27677949, 2364721928, 175851655, 1468083950, 3162369526, 2441504540, 556978295, 2372096172, 3181101116, 2582850132, 1101292643, 862643740, 2095546242, 3261953801, 748040658, 3970037674, 819116843, 3594523650, 1597423019, 4109336883, 1198282420, 2905230517, 1729529596, 3230132814, 3640242164, 1899059108, 1944906555, 3426510495, 3035188107, 6448083, 1093882965, 2867500469, 3626379157, 1849073068, 897616501, 604221668, 1020676159, 4083635798, 1716022041, 3671877965, 1738820843, 30077467, 729231767, 3413193248, 207000406, 3854363185, 3302747326, 3293643267, 2101250157, 460131091, 4159442595, 1133391045, 1031215443, 4195487944, 45931575, 2922629291, 789302543, 3024994662, 442525623, 2850119076, 838309503, 2585361734, 1020449164, 1623631007, 955374631, 2932467671, 3713639221, 3019179416, 977970472, 1817244230, 3856774853, 1140530868, 886199600, 1218509766, 4001537244, 2840913665, 2133254364, 3332344608, 475291624, }, { 1854921599, 2655519695, 3124573588, 319882484, 603545603, 4175512633, 141286453, 1183670252, 1789500145, 37351733, 3190829323, 2782782009, 493805446, 1228958246, 2672482554, 2274981421, 2935438833, 3625733677, 3679506394, 687805550, 134516308, 3576789728, 965007022, 1056542222, 2319405423, 3944221200, 950102624, 3848192810, 3205299696, 82033760, 1241913280, 1360146137, 1675732327, 2164452797, 3920498715, 2226452641, 3172047212, 1569171738, 2631589480, 2889660225, 2030783667, 2237381973, 2706217212, 3143638386, 1733174225, 1166820137, 3818389960, 193959252, 2793509934, 316291605, 2502743884, 1963136977, 3739017448, 25754513, 1590156485, 1856291967, 4143674472, 2538785911, 2159135699, 1908446793, 3303325234, 2589568800, 1193586059, 77481069, 789413194, 2556570543, 162987300, 1960844609, 2973799047, 4253906178, 315868734, 2542622968, 3949539136, 1479106582, 4225431384, 1235059630, 1533374854, 847792023, 4031286530, 4194276632, 164541100, 1010135841, 143302319, 1335585015, 1237311692, 20896020, 344974153, 2576803233, 3430251730, 984163376, 2680612471, 1276425436, 2400671554, 1628640140, 2161048926, 2109177634, 998215324, 3127793500, 1759998050, 3105138908, 2583746384, 2126302368, 3258602104, 1262742375, 3565617377, 3726060195, 157069329, 390662438, 3800994052, 2007694482, 377281730, 3251789121, 236703173, 122782596, 775407411, 3394010206, 4232159202, 468321553, 2704615220, 1332411375, 2978494251, 989230484, 3122841814, 2348872707, 731335994, 541354422, 223117443, 2225009071, 4230058949, 1875162926, 3897048544, 3550177883, 2461273592, 1046820583, 1333727817, 1378024753, 3686775275, 4230752590, 64834458, 1281467967, 729116355, 3886390916, 65029451, 3478506446, 1387684482, 1172004841, 2525409243, 1677678908, 1704646757, 930937262, 1088384271, 689357059, 1754542213, 702963842, 2864311668, 1960202673, 1009675673, 3742350158, 3751269215, 3166659283, 9090161, 1854921599, 2655519695, 3124573588, 319882484, 1422536794, 4175512633, 141286453, 1183670252, 1789500145, 850391877, 3190829323, 2782782009, 493805446, 1228958246, 837232655, 2274981421, 2935438833, 3625733677, 3679506394, 955772620, 134516308, 3576789728, 965007022, 1056542222, 874117013, 3944221200, 950102624, 3848192810, 3205299696, 543679720, 1241913280, 1360146137, 1675732327, 2164452797, 1169030022, 2226452641, 3172047212, 1569171738, 2631589480, 3783543297, 2030783667, 2237381973, 2706217212, 3143638386, 1560162209, 1166820137, 3818389960, 193959252, 2793509934, 4258046618, 2502743884, 1963136977, 3739017448, 25754513, 1204846712, 1856291967, 4143674472, 2538785911, 2159135699, 3889946075, 3303325234, 2589568800, 1193586059, 77481069, 969912041, 2556570543, 162987300, 1960844609, 2973799047, 427583517, 315868734, 2542622968, 3949539136, 1479106582, 92839917, 1235059630, 1533374854, 847792023, 4031286530, 1147875681, 164541100, 1010135841, 143302319, 1335585015, 368616909, 20896020, 344974153, 2576803233, 3430251730, 1078575783, 2680612471, 1276425436, 2400671554, 1628640140, 4149623645, 2109177634, 998215324, 3127793500, 1759998050, 3525419965, 2583746384, 2126302368, 3258602104, 1262742375, 1996113346, 3726060195, 157069329, 390662438, 3800994052, 982000497, 377281730, 3251789121, 236703173, 122782596, 2303768414, 3394010206, 4232159202, 468321553, 2704615220, 681592492, 2978494251, 989230484, 3122841814, 2348872707, 4089094260, 541354422, 223117443, 2225009071, 4230058949, 2754981128, 3897048544, 3550177883, 2461273592, 1046820583, 668143612, 1378024753, 3686775275, 4230752590, 64834458, 3765910650, 729116355, 3886390916, 65029451, 3478506446, 3419111947, 1172004841, 2525409243, 1677678908, 1704646757, 155635560, 1088384271, 689357059, 1754542213, 702963842, 2712009967, 1960202673, 1009675673, 3742350158, 3751269215, 129749802, 9090161, 1854921599, 2655519695, 3124573588, 809557750, 1422536794, 4175512633, 141286453, 1183670252, 1739311360, 850391877, 3190829323, 2782782009, 493805446, 1738527771, 837232655, 2274981421, 2935438833, 3625733677, 1858071296, 955772620, 134516308, 3576789728, 965007022, 3367712327, 874117013, 3944221200, 950102624, 3848192810, 2420548306, 543679720, 1241913280, 1360146137, 1675732327, 176019367, 1169030022, 2226452641, 3172047212, 1569171738, 76544055, 3783543297, 2030783667, 2237381973, 2706217212, 3283985735, 1560162209, 1166820137, 3818389960, 193959252, 346134252, 4258046618, 2502743884, 1963136977, 3739017448, 3887005605, 1204846712, 1856291967, 4143674472, 2538785911, 366578749, 3889946075, 3303325234, 2589568800, 1193586059, 2917569085, 969912041, 2556570543, 162987300, 1960844609, 61311938, 427583517, 315868734, 2542622968, 3949539136, 2278526422, 92839917, 1235059630, 1533374854, 847792023, 1361054176, 1147875681, 164541100, 1010135841, 143302319, 1348709332, 368616909, 20896020, 344974153, 2576803233, 3290873783, 1078575783, 2680612471, 1276425436, 2400671554, 628790408, 4149623645, 2109177634, 998215324, 3127793500, 2019336900, 3525419965, 2583746384, 2126302368, 3258602104, 2858154034, 1996113346, 3726060195, 157069329, 390662438, 2250549235, 982000497, 377281730, 3251789121, 236703173, 3487415996, 2303768414, 3394010206, 4232159202, 468321553, 2773608982, 681592492, 2978494251, 989230484, 3122841814, 3647638215, 4089094260, 541354422, 223117443, 2225009071, 2829509947, 2754981128, 3897048544, 3550177883, 2461273592, 282627696, 668143612, 1378024753, 3686775275, 4230752590, 1105868822, 3765910650, 729116355, 3886390916, 65029451, 328554604, 3419111947, 1172004841, 2525409243, 1677678908, 1395036942, 155635560, 1088384271, 689357059, 1754542213, 1076601715, 2712009967, 1960202673, 1009675673, 3742350158, 2581225953, 129749802, 9090161, 1854921599, 2655519695, 1393282220, 809557750, 1422536794, 4175512633, 141286453, 2211497169, 1739311360, 850391877, 3190829323, 2782782009, 2694871802, 1738527771, 837232655, 2274981421, 2935438833, 3145832503, 1858071296, 955772620, 134516308, 3576789728, 4045354759, 3367712327, 874117013, 3944221200, 950102624, 3562634568, 2420548306, 543679720, 1241913280, 1360146137, 3644280343, 176019367, 1169030022, 2226452641, 3172047212, 3927720006, 76544055, 3783543297, 2030783667, 2237381973, 1497233808, 3283985735, 1560162209, 1166820137, 3818389960, 2344066681, 346134252, 4258046618, 2502743884, 1963136977, 79988846, 3887005605, 1204846712, 1856291967, 4143674472, 3967952414, 366578749, 3889946075, 3303325234, 2589568800, 2193179011, 2917569085, 969912041, 2556570543, 162987300, 52882655, 61311938, 427583517, 315868734, 2542622968, 1575831590, 2278526422, 92839917, 1235059630, 1533374854, 2397068791, 1361054176, 1147875681, 164541100, 1010135841, 2586368032, 1348709332, 368616909, 20896020, 344974153, 3445652232, 3290873783, 1078575783, 2680612471, 1276425436, 3682156544, 628790408, 4149623645, 2109177634, 998215324, 4049708298, 2019336900, 3525419965, 2583746384, 2126302368, 1627944270, 2858154034, 1996113346, 3726060195, 157069329, 1481222640, 2250549235, 982000497, 377281730, 3251789121, 3564274539, 3487415996, 2303768414, 3394010206, 4232159202, 3509025997, 2773608982, 681592492, 2978494251, 989230484, 980252048, 3647638215, 4089094260, 541354422, 223117443, 543970497, 2829509947, 2754981128, 3897048544, 3550177883, 2736782140, 282627696, 668143612, 1378024753, 3686775275, 2728601425, 1105868822, 3765910650, 729116355, 3886390916, 1866378660, 328554604, 3419111947, 1172004841, 2525409243, 1506924008, 1395036942, 155635560, 1088384271, 689357059, 3587092123, 1076601715, 2712009967, 1960202673, 1009675673, 4292715891, 2465250857, 3267969665, 2459570573, 3644463083, 1637197500, 684559293, 3520611957, 2976084366, 1512112440, 1778285193, 1849742417, 3144801412, 3009052859, 820829188, 1382783871, 3373481539, 3777016406, 266942530, 1792334422, 4109859515, 1468149634, 1356457853, 623893785, 1301686542, 441704877, 3377795902, 879822753, 329462927, 543858304, 2221828617, 2996486613, 981774202, 1032220084, 1066536452, 1004068806, 1336694798, 3744375323, 3802436665, 3366526577, 418696462, 1776559103, 1291965608, 1623030339, 1443628607, 572114324, 899621592, 332121275, 3637616671, 457287722, 3803043476, 408472701, 660940326, 1209169008, 1202511620, 2906900959, 2600414642, 2015874468, 2931389161, 1760773669, 2601299639, 543821664, 3426280682, 1337602255, 3334593650, 1320885980, 3857269540, 2548321029, 2250001180, 673341051, 1900184720, 731675831, 2461790412, 2593291320, 1640301250, 863529987, 91627443, 2437824309, 2834231475, 4093270720, 1474594761, 4186662839, 1683556862, 1302286991, 806676270, 703274107, 3756759580, 674737904, 912015048, 1823306025, 1509430520, 3128952761, 290841833, 3917789380, 1022040580, 1810054038, 334998864, 1009274987, 310979037, 606749827, 546291081, 3438438313, 1840081424, 1950680845, 4217236364, 1814584903, 2814353208, 194196981, 1540331253, 3135937654, 773351497, 1878220007, 3097009802, 1252607159, 1378821846, 2741884614, 178612659, 3656860395, 1259606652, 3942111545, 488406826, 3640897405, 3419000480, 353909713, 2996208477, 2862593073, 108483327, 648472258, 1060249632, 1049865483, 430087518, 1364157854, 3367631180, 251313827, 2374149836, 2109357086, 479172068, 464775113, 1806677787, 3488082411, 356035738, 3080424395, 4134646749, 369528743, 1031004516, 2525336414, 4189798138, 3928909462, 568714397, 1681832820, 1753328641, 827357673, 1651960551, 1798317455, 737101952, 3257553606, 400882781, 1473208110, 4134183873, 2193420912, }, { 2483976489, 2790651795, 3298324523, 3508205426, 2236819708, 917494217, 769620837, 3411018785, 2391335000, 1627061280, 3356773416, 1288706527, 4178910717, 3636299534, 4221874052, 3674654381, 537787012, 4271656840, 185820273, 1160533598, 1862365049, 2550353307, 1392072847, 1870891365, 1517453821, 524666025, 3645751565, 2415020247, 3691419894, 2580450642, 2130267479, 3636103610, 562446539, 750696587, 97137475, 3894066051, 2239638596, 3256181120, 3981041836, 774947039, 451287677, 3618957054, 4236303539, 1027744929, 1497195372, 498574915, 2164122779, 582902291, 3040883311, 1626221455, 1853378, 2125490000, 3185055972, 1607660025, 432884530, 779476209, 124284956, 2488937128, 2521389012, 107485781, 2873055013, 1171872946, 3130489952, 4273333914, 646240524, 3970896645, 942009076, 4069926418, 3129385884, 3470469370, 388702536, 450999415, 2995728716, 1687173264, 3049352827, 2648078738, 190663705, 486809970, 424002670, 2421764946, 2941043524, 3841512738, 119077561, 1801381572, 2208680167, 2502730219, 9899015, 2455199230, 3755314209, 3958460021, 3846398898, 1405136244, 2870563334, 821846618, 2790899812, 863647562, 629585032, 958925512, 1190540209, 57251233, 2109551995, 2294881622, 2603370255, 3839518646, 123838650, 3436270690, 1637121394, 3761101432, 954001192, 759760236, 3268295908, 2313083096, 630164216, 2367213191, 3992059381, 3292952769, 2040774258, 1420209005, 527547730, 1222399440, 1515078401, 2005580991, 645585788, 2256370254, 3057235502, 2870727428, 2785498804, 333440916, 1873686678, 2489794553, 3726728164, 3405629071, 3869328595, 3081963448, 2122133003, 1428788181, 4141962679, 41030733, 183716455, 36316501, 1430796327, 1884066707, 1216957106, 3455082673, 1092665987, 535070834, 3873372533, 175757671, 3414803303, 791028991, 3436610906, 2950895946, 977680845, 4224715886, 2809442211, 4044727083, 3035532020, 4253187882, 969203959, 2539482914, 813880136, 2483976489, 2790651795, 3298324523, 3508205426, 49280479, 917494217, 769620837, 3411018785, 2391335000, 3036738936, 3356773416, 1288706527, 4178910717, 3636299534, 2294957038, 3674654381, 537787012, 4271656840, 185820273, 2622722506, 1862365049, 2550353307, 1392072847, 1870891365, 2838104933, 524666025, 3645751565, 2415020247, 3691419894, 1295777418, 2130267479, 3636103610, 562446539, 750696587, 249830932, 3894066051, 2239638596, 3256181120, 3981041836, 3217398876, 451287677, 3618957054, 4236303539, 1027744929, 1724964245, 498574915, 2164122779, 582902291, 3040883311, 3101287841, 1853378, 2125490000, 3185055972, 1607660025, 1128474163, 779476209, 124284956, 2488937128, 2521389012, 338597864, 2873055013, 1171872946, 3130489952, 4273333914, 1557892392, 3970896645, 942009076, 4069926418, 3129385884, 2688433076, 388702536, 450999415, 2995728716, 1687173264, 157685189, 2648078738, 190663705, 486809970, 424002670, 979986388, 2941043524, 3841512738, 119077561, 1801381572, 2668625968, 2502730219, 9899015, 2455199230, 3755314209, 2699515741, 3846398898, 1405136244, 2870563334, 821846618, 505633792, 863647562, 629585032, 958925512, 1190540209, 2067402799, 2109551995, 2294881622, 2603370255, 3839518646, 2688067120, 3436270690, 1637121394, 3761101432, 954001192, 3206166733, 3268295908, 2313083096, 630164216, 2367213191, 3007494680, 3292952769, 2040774258, 1420209005, 527547730, 4047406592, 1515078401, 2005580991, 645585788, 2256370254, 13805572, 2870727428, 2785498804, 333440916, 1873686678, 1928222740, 3726728164, 3405629071, 3869328595, 3081963448, 2971423693, 1428788181, 4141962679, 41030733, 183716455, 4064095256, 1430796327, 1884066707, 1216957106, 3455082673, 985592757, 535070834, 3873372533, 175757671, 3414803303, 2159028553, 3436610906, 2950895946, 977680845, 4224715886, 345462057, 4044727083, 3035532020, 4253187882, 969203959, 984166534, 813880136, 2483976489, 2790651795, 3298324523, 1080001158, 49280479, 917494217, 769620837, 3411018785, 3216598401, 3036738936, 3356773416, 1288706527, 4178910717, 3311472057, 2294957038, 3674654381, 537787012, 4271656840, 220045511, 2622722506, 1862365049, 2550353307, 1392072847, 3057632678, 2838104933, 524666025, 3645751565, 2415020247, 252304106, 1295777418, 2130267479, 3636103610, 562446539, 80437039, 249830932, 3894066051, 2239638596, 3256181120, 117173223, 3217398876, 451287677, 3618957054, 4236303539, 1986849360, 1724964245, 498574915, 2164122779, 582902291, 288631030, 3101287841, 1853378, 2125490000, 3185055972, 824635664, 1128474163, 779476209, 124284956, 2488937128, 1231646648, 338597864, 2873055013, 1171872946, 3130489952, 708957725, 1557892392, 3970896645, 942009076, 4069926418, 2286522565, 2688433076, 388702536, 450999415, 2995728716, 2523361978, 157685189, 2648078738, 190663705, 486809970, 151444406, 979986388, 2941043524, 3841512738, 119077561, 3762447035, 2668625968, 2502730219, 9899015, 2455199230, 3532439568, 2699515741, 3846398898, 1405136244, 2870563334, 2242036665, 505633792, 863647562, 629585032, 958925512, 2618618630, 2067402799, 2109551995, 2294881622, 2603370255, 2461404010, 2688067120, 3436270690, 1637121394, 3761101432, 1076814097, 3206166733, 3268295908, 2313083096, 630164216, 12196305, 3007494680, 3292952769, 2040774258, 1420209005, 2609377752, 4047406592, 1515078401, 2005580991, 645585788, 865985176, 13805572, 2870727428, 2785498804, 333440916, 3735553268, 1928222740, 3726728164, 3405629071, 3869328595, 501640466, 2971423693, 1428788181, 4141962679, 41030733, 97561214, 4064095256, 1430796327, 1884066707, 1216957106, 3840122090, 985592757, 535070834, 3873372533, 175757671, 3856277268, 2159028553, 3436610906, 2950895946, 977680845, 3313441827, 345462057, 4044727083, 3035532020, 4253187882, 3468811573, 984166534, 813880136, 2483976489, 2790651795, 3733649754, 1080001158, 49280479, 917494217, 769620837, 3969566450, 3216598401, 3036738936, 3356773416, 1288706527, 2444128005, 3311472057, 2294957038, 3674654381, 537787012, 4166109669, 220045511, 2622722506, 1862365049, 2550353307, 2552992760, 3057632678, 2838104933, 524666025, 3645751565, 664164441, 252304106, 1295777418, 2130267479, 3636103610, 3227561061, 80437039, 249830932, 3894066051, 2239638596, 1071536668, 117173223, 3217398876, 451287677, 3618957054, 3066415327, 1986849360, 1724964245, 498574915, 2164122779, 3541914330, 288631030, 3101287841, 1853378, 2125490000, 2207189978, 824635664, 1128474163, 779476209, 124284956, 2117633906, 1231646648, 338597864, 2873055013, 1171872946, 891038594, 708957725, 1557892392, 3970896645, 942009076, 42952651, 2286522565, 2688433076, 388702536, 450999415, 2986730356, 2523361978, 157685189, 2648078738, 190663705, 3058267870, 151444406, 979986388, 2941043524, 3841512738, 1844101292, 3762447035, 2668625968, 2502730219, 9899015, 2599582093, 3532439568, 2699515741, 3846398898, 1405136244, 811001941, 2242036665, 505633792, 863647562, 629585032, 2722320710, 2618618630, 2067402799, 2109551995, 2294881622, 1820862072, 2461404010, 2688067120, 3436270690, 1637121394, 3642978005, 1076814097, 3206166733, 3268295908, 2313083096, 1900318020, 12196305, 3007494680, 3292952769, 2040774258, 520848705, 2609377752, 4047406592, 1515078401, 2005580991, 2530251392, 865985176, 13805572, 2870727428, 2785498804, 2878984912, 3735553268, 1928222740, 3726728164, 3405629071, 2717736455, 501640466, 2971423693, 1428788181, 4141962679, 3704214873, 97561214, 4064095256, 1430796327, 1884066707, 1721732760, 3840122090, 985592757, 535070834, 3873372533, 770732059, 3856277268, 2159028553, 3436610906, 2950895946, 33753949, 3313441827, 345462057, 4044727083, 3035532020, 4166506071, 2719759982, 1025532659, 3811323959, 713457907, 1577198020, 1719946821, 3963262337, 1719605451, 703663722, 1943886497, 2916371044, 1655862745, 109438187, 195575943, 2572727533, 2421761970, 1796539813, 2020762515, 1191344316, 2492085516, 2778033179, 4002316684, 1571080685, 1157340389, 3859584731, 3403766082, 2292873365, 2032258920, 1749575450, 848549431, 1893685820, 3510068298, 3308906564, 1193936308, 2561670234, 1043148718, 2611815896, 3832995202, 2436487998, 3377369330, 1174818128, 796514731, 1985886833, 88296218, 3032898657, 4101301361, 1486994584, 237792475, 1029399834, 1708840018, 2934039708, 1496674948, 4243234983, 3896751668, 1726119825, 2706068825, 1900013134, 2639641919, 1433377392, 2962655166, 1870954268, 3873603462, 1778084630, 2393311756, 4135022799, 3669603001, 811404758, 784379778, 4283689136, 405168660, 3873488622, 486946690, 347427153, 2139072474, 1143349522, 3780264455, 2938731842, 3864001470, 3497981827, 2703917008, 3222236962, 2604106616, 1281570367, 175937153, 433252852, 3232065906, 1111895932, 1027363895, 2435093744, 4232690481, 1940855209, 2844613991, 2095175619, 3479946852, 393314401, 3625733631, 1073779513, 2884072879, 4089630675, 3614205484, 1379809260, 3980251795, 3914556410, 3633356126, 3030204458, 1654727861, 3765074811, 959734060, 842315676, 353688341, 145655006, 1972100601, 1456042517, 3767579955, 4282066379, 498998655, 4123310742, 1801424182, 777808179, 655425670, 588715641, 2136252742, 1283378143, 639191135, 3132375783, 276649124, 2036776039, 3352396498, 3893441746, 3298373918, 1024178230, 2623051553, 1956117442, 2955394456, 2478945776, 3904945720, 769232312, 2168822980, 3715831945, 453874622, 3351529191, 3256151193, 808042625, 1700919462, 1008305347, 1518733915, 3194328753, 2228970756, 2604658038, 1376476152, 2147167203, 2585867511, 445717950, 3595016420, 3673970127, 3640614546, 494944945, 152508312, 4160926899, }, { 3225674336, 827428943, 2858523441, 2447266124, 1539223637, 2299756421, 776912458, 279091824, 1152725492, 3903457284, 3987010398, 3996115574, 839506039, 3052513014, 28550291, 2597814974, 2328446377, 1961600298, 3695276714, 1334932648, 1141381380, 3025370440, 997698792, 931473445, 3091440507, 820119215, 3586778616, 1993126242, 4252838072, 3033829531, 2120026924, 65722921, 746724958, 461423533, 1582298542, 1564918930, 3710935369, 419349792, 3914061713, 2279209938, 770031171, 2062767935, 3373230309, 3582372364, 2025682996, 3352859025, 1262632952, 3140021482, 501370035, 2554730117, 352450195, 1002557127, 2813224858, 2808406559, 290476252, 4216846311, 1187381982, 3131323304, 1094330039, 2646234280, 655242013, 1152156402, 3658526705, 3565043535, 693375321, 2120064836, 3726555752, 97387177, 546586686, 1013492636, 3874404446, 440995849, 1929251266, 95137166, 564969023, 3559119399, 3855477390, 2439885481, 2492213232, 2611214170, 2054191666, 2778642234, 2267416277, 2194315209, 1360165075, 1018128176, 2841084399, 3028189871, 3631770575, 541021087, 1091467742, 2743780329, 3566538467, 1277066122, 279582475, 2712119598, 3296319359, 4187226385, 1468994750, 2946664285, 2284913307, 740953233, 3351500634, 1791054313, 3355533193, 610062694, 3089981426, 3469441840, 3225672476, 2223653903, 2593994385, 548784340, 549871569, 865468702, 1593939385, 645229999, 1412095765, 2814231763, 3619658094, 877462820, 2198765077, 1845119421, 4144145546, 1356681209, 848707034, 4144513299, 3231318896, 3382035479, 693621410, 2821661683, 4236142563, 680649431, 3290999942, 200856634, 617766412, 3194332974, 4102392657, 2776797278, 2932808060, 793967937, 2149374605, 3736514467, 3547689148, 3744888920, 98278184, 1497045279, 2945126332, 4285864315, 2791068812, 1939995011, 56752862, 864909862, 625377571, 2266362085, 1050287398, 925722519, 1008109592, 2819528345, 3573068613, 1915083884, 1536828870, 3225674336, 827428943, 2858523441, 2447266124, 2186287936, 2299756421, 776912458, 279091824, 1152725492, 1271286102, 3987010398, 3996115574, 839506039, 3052513014, 1036957208, 2597814974, 2328446377, 1961600298, 3695276714, 2395157917, 1141381380, 3025370440, 997698792, 931473445, 2727078785, 820119215, 3586778616, 1993126242, 4252838072, 1171102868, 2120026924, 65722921, 746724958, 461423533, 2335086228, 1564918930, 3710935369, 419349792, 3914061713, 1136716661, 770031171, 2062767935, 3373230309, 3582372364, 4100328450, 3352859025, 1262632952, 3140021482, 501370035, 2579000299, 352450195, 1002557127, 2813224858, 2808406559, 2642514897, 4216846311, 1187381982, 3131323304, 1094330039, 3092488663, 655242013, 1152156402, 3658526705, 3565043535, 3280658482, 2120064836, 3726555752, 97387177, 546586686, 584864345, 3874404446, 440995849, 1929251266, 95137166, 823950215, 3559119399, 3855477390, 2439885481, 2492213232, 2297040376, 2054191666, 2778642234, 2267416277, 2194315209, 573807317, 1018128176, 2841084399, 3028189871, 3631770575, 2747338726, 1091467742, 2743780329, 3566538467, 1277066122, 1715139924, 2712119598, 3296319359, 4187226385, 1468994750, 3361368810, 2284913307, 740953233, 3351500634, 1791054313, 4290564545, 610062694, 3089981426, 3469441840, 3225672476, 1010959310, 2593994385, 548784340, 549871569, 865468702, 1825306744, 645229999, 1412095765, 2814231763, 3619658094, 3792219969, 2198765077, 1845119421, 4144145546, 1356681209, 268197516, 4144513299, 3231318896, 3382035479, 693621410, 2786831464, 4236142563, 680649431, 3290999942, 200856634, 3822069622, 3194332974, 4102392657, 2776797278, 2932808060, 525501162, 2149374605, 3736514467, 3547689148, 3744888920, 3219948462, 1497045279, 2945126332, 4285864315, 2791068812, 2678467476, 56752862, 864909862, 625377571, 2266362085, 2258093843, 925722519, 1008109592, 2819528345, 3573068613, 2743241289, 1536828870, 3225674336, 827428943, 2858523441, 992128922, 2186287936, 2299756421, 776912458, 279091824, 2108721702, 1271286102, 3987010398, 3996115574, 839506039, 1315622698, 1036957208, 2597814974, 2328446377, 1961600298, 3098343478, 2395157917, 1141381380, 3025370440, 997698792, 1317753106, 2727078785, 820119215, 3586778616, 1993126242, 2295599934, 1171102868, 2120026924, 65722921, 746724958, 3999203443, 2335086228, 1564918930, 3710935369, 419349792, 1662083910, 1136716661, 770031171, 2062767935, 3373230309, 3271761171, 4100328450, 3352859025, 1262632952, 3140021482, 3981040854, 2579000299, 352450195, 1002557127, 2813224858, 1064251076, 2642514897, 4216846311, 1187381982, 3131323304, 2077640887, 3092488663, 655242013, 1152156402, 3658526705, 548941006, 3280658482, 2120064836, 3726555752, 97387177, 4112878213, 584864345, 3874404446, 440995849, 1929251266, 227230803, 823950215, 3559119399, 3855477390, 2439885481, 610498128, 2297040376, 2054191666, 2778642234, 2267416277, 518192832, 573807317, 1018128176, 2841084399, 3028189871, 2512871059, 2747338726, 1091467742, 2743780329, 3566538467, 386661563, 1715139924, 2712119598, 3296319359, 4187226385, 2508754324, 3361368810, 2284913307, 740953233, 3351500634, 1296305541, 4290564545, 610062694, 3089981426, 3469441840, 148510865, 1010959310, 2593994385, 548784340, 549871569, 124676809, 1825306744, 645229999, 1412095765, 2814231763, 2540745278, 3792219969, 2198765077, 1845119421, 4144145546, 3966655401, 268197516, 4144513299, 3231318896, 3382035479, 1674022032, 2786831464, 4236142563, 680649431, 3290999942, 4065303704, 3822069622, 3194332974, 4102392657, 2776797278, 3735376922, 525501162, 2149374605, 3736514467, 3547689148, 2064870756, 3219948462, 1497045279, 2945126332, 4285864315, 2389978045, 2678467476, 56752862, 864909862, 625377571, 2308006661, 2258093843, 925722519, 1008109592, 2819528345, 2927186231, 2743241289, 1536828870, 3225674336, 827428943, 1583633720, 992128922, 2186287936, 2299756421, 776912458, 298217241, 2108721702, 1271286102, 3987010398, 3996115574, 1041730366, 1315622698, 1036957208, 2597814974, 2328446377, 1386688725, 3098343478, 2395157917, 1141381380, 3025370440, 2292273773, 1317753106, 2727078785, 820119215, 3586778616, 206996196, 2295599934, 1171102868, 2120026924, 65722921, 3271158508, 3999203443, 2335086228, 1564918930, 3710935369, 3305544914, 1662083910, 1136716661, 770031171, 2062767935, 4244195826, 3271761171, 4100328450, 3352859025, 1262632952, 3581040310, 3981040854, 2579000299, 352450195, 1002557127, 1789606594, 1064251076, 2642514897, 4216846311, 1187381982, 1519386238, 2077640887, 3092488663, 655242013, 1152156402, 3732146227, 548941006, 3280658482, 2120064836, 3726555752, 2631398817, 4112878213, 584864345, 3874404446, 440995849, 3541162446, 227230803, 823950215, 3559119399, 3855477390, 560704260, 610498128, 2297040376, 2054191666, 2778642234, 1614756373, 518192832, 573807317, 1018128176, 2841084399, 927011949, 2512871059, 2747338726, 1091467742, 2743780329, 566198434, 386661563, 1715139924, 2712119598, 3296319359, 520529825, 2508754324, 3361368810, 2284913307, 740953233, 2414584088, 1296305541, 4290564545, 610062694, 3089981426, 120496553, 148510865, 1010959310, 2593994385, 548784340, 3206664898, 124676809, 1825306744, 645229999, 1412095765, 821445348, 2540745278, 3792219969, 2198765077, 1845119421, 3434574619, 3966655401, 268197516, 4144513299, 3231318896, 3856935910, 1674022032, 2786831464, 4236142563, 680649431, 3331403374, 4065303704, 3822069622, 3194332974, 4102392657, 2194924932, 3735376922, 525501162, 2149374605, 3736514467, 2041458481, 2064870756, 3219948462, 1497045279, 2945126332, 3515890044, 2389978045, 2678467476, 56752862, 864909862, 1009125580, 2308006661, 2258093843, 925722519, 1008109592, 4166824654, 3399481064, 3848337172, 841675162, 2388734555, 3373081217, 1627287001, 1958651480, 1771323855, 2126620758, 3879967947, 1885140905, 806066092, 2168342987, 3778265278, 943582962, 3895768303, 337928214, 3677576461, 1884088203, 2629440785, 2357038005, 2362450760, 2080907681, 2644383608, 4153875040, 794977307, 2675637463, 2655426076, 3481699657, 2262369403, 1038608931, 4210267953, 2376694315, 2661705117, 3994997027, 2994346963, 4074343171, 833108024, 3562046155, 1113632369, 3087093963, 2115712884, 2778607581, 2702162487, 1347693590, 4271098334, 2746712394, 1629623802, 1932973152, 3077074108, 1338011180, 848785806, 1834095770, 4017238, 2661097500, 2935787683, 1214195119, 3099491937, 3868451396, 1063740008, 2768962809, 2554721244, 695479209, 2634119800, 1379839034, 2653377927, 921934002, 3586936843, 3035369677, 769283110, 2417935220, 3330084607, 2020519519, 2546176786, 1523223165, 3654065096, 1835059231, 2776263618, 3837173427, 3236141295, 1184415634, 157448610, 2474336972, 3313035876, 309195150, 2288837115, 548743307, 528342914, 1527562212, 554918643, 2739291918, 2630873849, 155419923, 226845272, 1343735931, 3106346884, 4177975386, 2515480406, 2049734808, 2802879609, 1805234272, 317920918, 745796250, 3816657414, 4198378080, 3057334192, 503016924, 2027816790, 579332504, 3037999504, 2857298788, 911046668, 1170775701, 2369720, 3364839261, 1462383461, 181600856, 1315241696, 2861043792, 3549404088, 3974245218, 4141518566, 1195336199, 2291064152, 3287203016, 3867432937, 2593766219, 2114273192, 3716228986, 410286941, 2497285113, 1338500439, 3748757692, 2315519304, 545570554, 1519868916, 679216320, 3264840479, 4083041163, 261878334, 2370312122, 1408058272, 1287635274, 3433241543, 3923613754, 2423502603, 3948993135, 1418484161, 230113502, 1766447938, 3101286974, 917358979, 2836128279, 2859079881, 3162688352, 2158281644, 154509481, 2409785274, 3096379437, }, { 2456954827, 2895978734, 1621803157, 230462381, 4046364119, 716597790, 2031510641, 2208319977, 1107910846, 3379950723, 3628284249, 1393263274, 3842378742, 768116962, 1782906996, 3022943801, 510040722, 2180373447, 1294989632, 1659724107, 953774117, 500296619, 2269873184, 3215368465, 3933601613, 2401810535, 3568992417, 617528376, 2437412983, 2921242388, 2311040363, 3695847323, 1609309841, 3222455492, 1108155620, 397599239, 3344183623, 1159383441, 81554651, 4223302962, 2812031899, 2613176831, 2967803832, 3560382993, 670173062, 2361031672, 1745444335, 2067906079, 3019908371, 2662226130, 2962440272, 3053411095, 92212044, 1041941495, 4116546365, 2094375399, 3992554702, 216246182, 2271736480, 1006434362, 4104644208, 2543874803, 1310440964, 1956002873, 1485192936, 3027546418, 448786402, 749040342, 406538664, 2522826782, 3681979470, 3941253886, 672615054, 3655479714, 392178376, 1619518340, 1639889010, 666186812, 4094569743, 2947917117, 3308938954, 1572886498, 1065510431, 2158389109, 1583642689, 1763046973, 3578310229, 4106948216, 58659757, 691952777, 3394715763, 3333944006, 3020203798, 3598064251, 3151881711, 2071056894, 1263790655, 4188233031, 4230429856, 3088041549, 3031631424, 3912597408, 1768734847, 1975027092, 3976493733, 2376551740, 1137628506, 535767974, 3105256806, 15427398, 2472341690, 685997424, 1374644561, 2446214061, 2844847931, 1058649390, 1581230869, 1725846082, 3062699842, 1116400547, 1095426642, 2940190462, 4276038488, 2091764667, 4074059985, 98163536, 4157153745, 32476821, 2354284775, 752663757, 2987293678, 1119786914, 3019442904, 111185876, 3569592548, 3991775183, 3161418733, 3973354577, 1650454973, 426129509, 3659038742, 1387393667, 543731583, 781586523, 917315276, 832142534, 3911092159, 325250500, 2735441676, 163564958, 1002098855, 337936437, 1869530240, 2233969733, 4108076124, 3255026725, 4072134049, 2083771067, 1559589006, 1845121907, 466036013, 2456954827, 2895978734, 1621803157, 230462381, 2022150409, 716597790, 2031510641, 2208319977, 1107910846, 1838834877, 3628284249, 1393263274, 3842378742, 768116962, 2303040715, 3022943801, 510040722, 2180373447, 1294989632, 3074858415, 953774117, 500296619, 2269873184, 3215368465, 3531413908, 2401810535, 3568992417, 617528376, 2437412983, 1730632320, 2311040363, 3695847323, 1609309841, 3222455492, 3189359980, 397599239, 3344183623, 1159383441, 81554651, 1933731121, 2812031899, 2613176831, 2967803832, 3560382993, 758113139, 2361031672, 1745444335, 2067906079, 3019908371, 3537991495, 2962440272, 3053411095, 92212044, 1041941495, 2653519981, 2094375399, 3992554702, 216246182, 2271736480, 695350220, 4104644208, 2543874803, 1310440964, 1956002873, 3373048130, 3027546418, 448786402, 749040342, 406538664, 4081844472, 3681979470, 3941253886, 672615054, 3655479714, 197563239, 1619518340, 1639889010, 666186812, 4094569743, 2518320719, 3308938954, 1572886498, 1065510431, 2158389109, 3320483696, 1763046973, 3578310229, 4106948216, 58659757, 3412172826, 3394715763, 3333944006, 3020203798, 3598064251, 1693717788, 2071056894, 1263790655, 4188233031, 4230429856, 2564478937, 3031631424, 3912597408, 1768734847, 1975027092, 3546175061, 2376551740, 1137628506, 535767974, 3105256806, 450760279, 2472341690, 685997424, 1374644561, 2446214061, 1873063065, 1058649390, 1581230869, 1725846082, 3062699842, 813496775, 1095426642, 2940190462, 4276038488, 2091764667, 3857233976, 98163536, 4157153745, 32476821, 2354284775, 3115605568, 2987293678, 1119786914, 3019442904, 111185876, 996447434, 3991775183, 3161418733, 3973354577, 1650454973, 1089784804, 3659038742, 1387393667, 543731583, 781586523, 2711412312, 832142534, 3911092159, 325250500, 2735441676, 3563501139, 1002098855, 337936437, 1869530240, 2233969733, 1156926454, 3255026725, 4072134049, 2083771067, 1559589006, 3832870112, 466036013, 2456954827, 2895978734, 1621803157, 2340808859, 2022150409, 716597790, 2031510641, 2208319977, 1823993818, 1838834877, 3628284249, 1393263274, 3842378742, 2489609764, 2303040715, 3022943801, 510040722, 2180373447, 4204167795, 3074858415, 953774117, 500296619, 2269873184, 2320314628, 3531413908, 2401810535, 3568992417, 617528376, 712451843, 1730632320, 2311040363, 3695847323, 1609309841, 3224192365, 3189359980, 397599239, 3344183623, 1159383441, 758272390, 1933731121, 2812031899, 2613176831, 2967803832, 3986798661, 758113139, 2361031672, 1745444335, 2067906079, 3814344052, 3537991495, 2962440272, 3053411095, 92212044, 817573506, 2653519981, 2094375399, 3992554702, 216246182, 2456924809, 695350220, 4104644208, 2543874803, 1310440964, 1151286621, 3373048130, 3027546418, 448786402, 749040342, 637572176, 4081844472, 3681979470, 3941253886, 672615054, 3038758846, 197563239, 1619518340, 1639889010, 666186812, 4254608071, 2518320719, 3308938954, 1572886498, 1065510431, 3100620860, 3320483696, 1763046973, 3578310229, 4106948216, 403923766, 3412172826, 3394715763, 3333944006, 3020203798, 1859724785, 1693717788, 2071056894, 1263790655, 4188233031, 2908736862, 2564478937, 3031631424, 3912597408, 1768734847, 966714666, 3546175061, 2376551740, 1137628506, 535767974, 1561255376, 450760279, 2472341690, 685997424, 1374644561, 3122124160, 1873063065, 1058649390, 1581230869, 1725846082, 3791666219, 813496775, 1095426642, 2940190462, 4276038488, 2802023399, 3857233976, 98163536, 4157153745, 32476821, 1640659450, 3115605568, 2987293678, 1119786914, 3019442904, 4278091706, 996447434, 3991775183, 3161418733, 3973354577, 3398421232, 1089784804, 3659038742, 1387393667, 543731583, 1694361696, 2711412312, 832142534, 3911092159, 325250500, 166035542, 3563501139, 1002098855, 337936437, 1869530240, 1306446339, 1156926454, 3255026725, 4072134049, 2083771067, 61899937, 3832870112, 466036013, 2456954827, 2895978734, 767569205, 2340808859, 2022150409, 716597790, 2031510641, 1690074863, 1823993818, 1838834877, 3628284249, 1393263274, 546011580, 2489609764, 2303040715, 3022943801, 510040722, 825252468, 4204167795, 3074858415, 953774117, 500296619, 1952242515, 2320314628, 3531413908, 2401810535, 3568992417, 4254767597, 712451843, 1730632320, 2311040363, 3695847323, 2393864919, 3224192365, 3189359980, 397599239, 3344183623, 1759399025, 758272390, 1933731121, 2812031899, 2613176831, 2809078783, 3986798661, 758113139, 2361031672, 1745444335, 1223235915, 3814344052, 3537991495, 2962440272, 3053411095, 3711100000, 817573506, 2653519981, 2094375399, 3992554702, 2987412942, 2456924809, 695350220, 4104644208, 2543874803, 2746231792, 1151286621, 3373048130, 3027546418, 448786402, 801157439, 637572176, 4081844472, 3681979470, 3941253886, 975875511, 3038758846, 197563239, 1619518340, 1639889010, 3137491209, 4254608071, 2518320719, 3308938954, 1572886498, 631178204, 3100620860, 3320483696, 1763046973, 3578310229, 3338308117, 403923766, 3412172826, 3394715763, 3333944006, 37220448, 1859724785, 1693717788, 2071056894, 1263790655, 228419012, 2908736862, 2564478937, 3031631424, 3912597408, 3862306448, 966714666, 3546175061, 2376551740, 1137628506, 1114919961, 1561255376, 450760279, 2472341690, 685997424, 2456661198, 3122124160, 1873063065, 1058649390, 1581230869, 2996925693, 3791666219, 813496775, 1095426642, 2940190462, 1642720015, 2802023399, 3857233976, 98163536, 4157153745, 1578965959, 1640659450, 3115605568, 2987293678, 1119786914, 1748408698, 4278091706, 996447434, 3991775183, 3161418733, 4123935663, 3398421232, 1089784804, 3659038742, 1387393667, 770706529, 1694361696, 2711412312, 832142534, 3911092159, 335435644, 166035542, 3563501139, 1002098855, 337936437, 2961857543, 1306446339, 1156926454, 3255026725, 4072134049, 1717290230, 1323146393, 2156340433, 2065716367, 2597996276, 3402032152, 779574284, 2369501052, 2316224856, 2720986136, 3016786025, 2916554213, 3476215746, 1132150235, 2619889920, 1279664685, 679206534, 4014394509, 3624968312, 1480455625, 725015758, 707677352, 3764409715, 1938306480, 2171474419, 3379664161, 684262379, 2142433069, 43407198, 1398850259, 2059135843, 240266749, 3788738212, 118513026, 820245055, 1152812311, 1398373423, 3188977726, 872620936, 2084649448, 807979538, 819501992, 615447916, 3393148006, 1765623964, 2514767257, 3711360450, 2941886951, 3739102698, 4022385962, 2306039667, 3321267290, 2179238310, 3192652502, 2118792870, 2571142127, 761776508, 873010906, 1609627751, 4260021041, 1747852747, 960771906, 2647903291, 77475681, 1282566533, 4022186916, 2681128032, 1554542462, 3181701944, 1168469070, 74236514, 2806532232, 3981048887, 1888842784, 2888607878, 1763028723, 701886756, 4124077776, 3738147505, 4066663138, 3816449863, 921061872, 2956972182, 3159072916, 3337110888, 3552795700, 2281281091, 671098116, 1282750020, 1008618197, 2363767765, 1812013295, 1854965999, 131027176, 666394000, 2062217824, 1763334218, 551118598, 1277961175, 3523893635, 1855881150, 2067903393, 2590963277, 3214508854, 1604911832, 1906690475, 389417851, 2711591984, 427723436, 1039703630, 639602991, 444779318, 2722002973, 3927985419, 1297446054, 298277450, 656022205, 134304205, 3847728042, 3339100423, 407022043, 1282443442, 3173884578, 1417906094, 2364502739, 2158353472, 2402775649, 1807696073, 2837535198, 705887737, 2129202688, 3853676283, 1388329793, 875153687, 2367465660, 2763058233, 2500632304, 2196920062, 491306883, 277753357, 3868415380, 324867643, 3654474955, 2569410351, 1128175417, 1853572398, 1133201743, 662085935, 2263514999, 3077768113, 3309730620, 3602394176, 3747458070, 188422725, 813812450, 1502276531, 3909138356, 2766044599, 3760928321, 573108836, }, { 1240264181, 1624064648, 3039823158, 2013985253, 1473300299, 2762062141, 3273470484, 1889745445, 2516996174, 3190376531, 996186898, 3893981177, 1268272590, 3226095713, 153038465, 2184871198, 3224094011, 2526518401, 1738960059, 1187560605, 4194384320, 2837011297, 3638232350, 367907454, 574009898, 1948901330, 60430044, 1569835584, 3160561697, 321792583, 3179087993, 1936928378, 412346905, 4020812489, 2603392174, 3499496781, 1499441233, 1062415256, 1347130973, 1823246794, 3411391800, 4253618056, 1507733072, 1605629518, 1503312494, 8035741, 4038904206, 2408545792, 969543501, 954847087, 956553276, 3096241999, 2566194741, 84678421, 3882676079, 2483934330, 3673546814, 2461422466, 620385599, 898325340, 2145883445, 3653728520, 3744850294, 2441124935, 904854507, 3216304963, 2373268568, 2354362010, 1245572787, 2894748714, 2889136188, 3716879184, 1766013949, 1305712667, 1227530310, 4051221847, 925440190, 1508686692, 1104647879, 1496666754, 3300504219, 127787091, 1528394637, 1739640835, 2475711496, 3792639955, 1450796299, 1634217367, 3289785095, 2149949989, 811612039, 1750779366, 1157474938, 514004414, 2264909096, 3730411668, 3308882513, 1834571716, 378288317, 3800023701, 763396788, 1597708317, 983953861, 94566098, 1548157668, 3755427117, 1646496505, 3748241449, 3439805936, 2321644449, 3805706235, 4220083901, 1069923823, 2984004391, 3824885361, 1967477766, 218978249, 348955028, 3188651823, 1008338679, 2331688720, 1562995454, 1837179689, 3033872688, 3007293665, 1759522678, 319754369, 2763991927, 1983149629, 1353197132, 1489552694, 2990539062, 3244609108, 669775440, 886127995, 1636688014, 1251222487, 2351883247, 3261502906, 3139614137, 3203790139, 2777648095, 3693390579, 3540514982, 3200191735, 750726325, 1014534145, 2091792357, 3931704474, 1383925867, 2038878506, 2247134268, 2840132188, 61137652, 1162051299, 399657268, 1682018695, 2640231287, 1733438115, 3611823506, 2077891037, 1240264181, 1624064648, 3039823158, 2013985253, 4188888201, 2762062141, 3273470484, 1889745445, 2516996174, 2621448256, 996186898, 3893981177, 1268272590, 3226095713, 952803645, 2184871198, 3224094011, 2526518401, 1738960059, 738368399, 4194384320, 2837011297, 3638232350, 367907454, 3772812520, 1948901330, 60430044, 1569835584, 3160561697, 1655622513, 3179087993, 1936928378, 412346905, 4020812489, 3754224996, 3499496781, 1499441233, 1062415256, 1347130973, 1167581269, 3411391800, 4253618056, 1507733072, 1605629518, 1867781671, 8035741, 4038904206, 2408545792, 969543501, 3189323143, 956553276, 3096241999, 2566194741, 84678421, 996778900, 2483934330, 3673546814, 2461422466, 620385599, 3129088144, 2145883445, 3653728520, 3744850294, 2441124935, 4230756652, 3216304963, 2373268568, 2354362010, 1245572787, 1600525238, 2889136188, 3716879184, 1766013949, 1305712667, 59908073, 4051221847, 925440190, 1508686692, 1104647879, 2931214731, 3300504219, 127787091, 1528394637, 1739640835, 62963469, 3792639955, 1450796299, 1634217367, 3289785095, 667987389, 811612039, 1750779366, 1157474938, 514004414, 2737193098, 3730411668, 3308882513, 1834571716, 378288317, 3452657469, 763396788, 1597708317, 983953861, 94566098, 2752347916, 3755427117, 1646496505, 3748241449, 3439805936, 4222757079, 3805706235, 4220083901, 1069923823, 2984004391, 3887639520, 1967477766, 218978249, 348955028, 3188651823, 4168456281, 2331688720, 1562995454, 1837179689, 3033872688, 814903833, 1759522678, 319754369, 2763991927, 1983149629, 3818528075, 1489552694, 2990539062, 3244609108, 669775440, 1004789460, 1636688014, 1251222487, 2351883247, 3261502906, 4143823654, 3203790139, 2777648095, 3693390579, 3540514982, 153421222, 750726325, 1014534145, 2091792357, 3931704474, 4018591985, 2038878506, 2247134268, 2840132188, 61137652, 1455028838, 399657268, 1682018695, 2640231287, 1733438115, 1853142849, 2077891037, 1240264181, 1624064648, 3039823158, 2235369076, 4188888201, 2762062141, 3273470484, 1889745445, 3627876603, 2621448256, 996186898, 3893981177, 1268272590, 2687846008, 952803645, 2184871198, 3224094011, 2526518401, 861379413, 738368399, 4194384320, 2837011297, 3638232350, 3753321702, 3772812520, 1948901330, 60430044, 1569835584, 581506474, 1655622513, 3179087993, 1936928378, 412346905, 2710043900, 3754224996, 3499496781, 1499441233, 1062415256, 2704745463, 1167581269, 3411391800, 4253618056, 1507733072, 4215403465, 1867781671, 8035741, 4038904206, 2408545792, 3252742933, 3189323143, 956553276, 3096241999, 2566194741, 1865159158, 996778900, 2483934330, 3673546814, 2461422466, 3123557619, 3129088144, 2145883445, 3653728520, 3744850294, 21840044, 4230756652, 3216304963, 2373268568, 2354362010, 1934462999, 1600525238, 2889136188, 3716879184, 1766013949, 2822794708, 59908073, 4051221847, 925440190, 1508686692, 2938291976, 2931214731, 3300504219, 127787091, 1528394637, 1914923136, 62963469, 3792639955, 1450796299, 1634217367, 257322213, 667987389, 811612039, 1750779366, 1157474938, 3083649350, 2737193098, 3730411668, 3308882513, 1834571716, 2778729422, 3452657469, 763396788, 1597708317, 983953861, 1337754195, 2752347916, 3755427117, 1646496505, 3748241449, 3942745717, 4222757079, 3805706235, 4220083901, 1069923823, 1314928500, 3887639520, 1967477766, 218978249, 348955028, 3425797638, 4168456281, 2331688720, 1562995454, 1837179689, 1814071277, 814903833, 1759522678, 319754369, 2763991927, 1079270448, 3818528075, 1489552694, 2990539062, 3244609108, 2944573315, 1004789460, 1636688014, 1251222487, 2351883247, 1356892540, 4143823654, 3203790139, 2777648095, 3693390579, 983917956, 153421222, 750726325, 1014534145, 2091792357, 296882400, 4018591985, 2038878506, 2247134268, 2840132188, 3508266160, 1455028838, 399657268, 1682018695, 2640231287, 2480988791, 1853142849, 2077891037, 1240264181, 1624064648, 1741738969, 2235369076, 4188888201, 2762062141, 3273470484, 3569498651, 3627876603, 2621448256, 996186898, 3893981177, 4026533880, 2687846008, 952803645, 2184871198, 3224094011, 1290870737, 861379413, 738368399, 4194384320, 2837011297, 3833099205, 3753321702, 3772812520, 1948901330, 60430044, 4131290878, 581506474, 1655622513, 3179087993, 1936928378, 2379952582, 2710043900, 3754224996, 3499496781, 1499441233, 593780490, 2704745463, 1167581269, 3411391800, 4253618056, 621889762, 4215403465, 1867781671, 8035741, 4038904206, 2045289976, 3252742933, 3189323143, 956553276, 3096241999, 2188329018, 1865159158, 996778900, 2483934330, 3673546814, 2717648418, 3123557619, 3129088144, 2145883445, 3653728520, 1528077261, 21840044, 4230756652, 3216304963, 2373268568, 803158556, 1934462999, 1600525238, 2889136188, 3716879184, 161827512, 2822794708, 59908073, 4051221847, 925440190, 3599942370, 2938291976, 2931214731, 3300504219, 127787091, 4082579845, 1914923136, 62963469, 3792639955, 1450796299, 2035446714, 257322213, 667987389, 811612039, 1750779366, 2344204796, 3083649350, 2737193098, 3730411668, 3308882513, 2765191583, 2778729422, 3452657469, 763396788, 1597708317, 1854746879, 1337754195, 2752347916, 3755427117, 1646496505, 4020292301, 3942745717, 4222757079, 3805706235, 4220083901, 1408262601, 1314928500, 3887639520, 1967477766, 218978249, 2173193841, 3425797638, 4168456281, 2331688720, 1562995454, 2835294077, 1814071277, 814903833, 1759522678, 319754369, 4048528178, 1079270448, 3818528075, 1489552694, 2990539062, 787253600, 2944573315, 1004789460, 1636688014, 1251222487, 3584515216, 1356892540, 4143823654, 3203790139, 2777648095, 1681621541, 983917956, 153421222, 750726325, 1014534145, 3951869055, 296882400, 4018591985, 2038878506, 2247134268, 1990726826, 3508266160, 1455028838, 399657268, 1682018695, 3360119279, 3151120565, 3011208718, 3694535943, 104562665, 2827623271, 249712003, 3413221355, 2347164236, 3227498378, 1805068659, 2118219686, 1568133029, 902801951, 175637375, 3812819970, 2162769758, 3845613089, 1795179477, 171494391, 3765826349, 1725798906, 345463508, 2481043227, 226569380, 3250095421, 1085199388, 3107594542, 4011388155, 1092611190, 3239339214, 4211849464, 4109911546, 81212018, 3691937144, 2477407396, 3320520455, 3070067913, 3808621884, 252917069, 3394860294, 1092442235, 2876536384, 1684120191, 431096075, 1701716708, 639881684, 3066183997, 3660504927, 2047274, 3424756424, 760932520, 2457976057, 1705265011, 2691137533, 3684307557, 3532744498, 2319162513, 1015534908, 1907173398, 2820698743, 1264455116, 2323788906, 3062240844, 1878550513, 1717353426, 1805673248, 62425157, 3662381032, 1964107209, 2559831960, 2117844804, 1228721677, 4240498866, 3212920337, 2338600301, 931588693, 2379606585, 3643222352, 4154645082, 1115847065, 2079427925, 2256943798, 2795103368, 2688136486, 1458062143, 1767222217, 635424385, 284062050, 1547163554, 3380046528, 1145758046, 3935976713, 4017430175, 3863367362, 3041367424, 303263160, 1465965696, 3757919837, 3083072836, 4024514094, 1381331179, 2393446325, 3256476469, 4066482738, 3437941107, 1051266504, 921764078, 2933305619, 1358097211, 4100978724, 2709958834, 574590507, 961767386, 21100886, 753746372, 4072632446, 733729367, 3060214669, 289165105, 426065754, 2036100240, 2172365757, 502856627, 84490194, 2630806596, 1206161269, 1009438449, 569581317, 1836947000, 3125379675, 1756936428, 3772694822, 3670337911, 3020603818, 2376224883, 2539951453, 2053395002, 3525193914, 1991480838, 3786481083, 873873707, 1693894743, 2450223985, 754878026, 1943356492, 401524329, 759931885, 611231307, 147950334, 599693701, 3358729722, 3649058074, 906423787, 1333804225, 875187278, 1115838692, 2476325972, 3307226674, 3539078918, }, };