pub const PERF_HASH_OFFSETS: [u32; 8191] = [
0, 4294963200, 4294959104, 4294955008, 4294951121, 4294946816, 4294943064, 4294938624,
4294935067, 4294930432, 4294927478, 4294922240, 4294919718, 4294914048, 4294911701, 4294905856,
4294908100, 4294897664, 4294895648, 4294891653, 4294887717, 4294883734, 4294878057, 4294875784,
4294877517, 4294874695, 4294863831, 4294860494, 4294852911, 4294852498, 4294844719, 4294844924,
4294847546, 4294848095, 4294828282, 4294828599, 4294822010, 4294820574, 4294815172, 4294808425,
4294803570, 4294817502, 4294813817, 4294796134, 4294792184, 4294783279, 4294784530, 4294775087,
4294770801, 4294768854, 4294781495, 4294763123, 4294760275, 4294755231, 4294752083, 4294742081,
4294738032, 4294733889, 4294729803, 4294745049, 4294721611, 4294723504, 4294716286, 4294709312,
4294712055, 4294701120, 4294699222, 4294692869, 4294697596, 4294684677, 4294700583, 4294676485,
4294692464, 4294668288, 4294664832, 4294662162, 4294676166, 4294655229, 4294667986, 4294650914,
4294643680, 4294642868, 4294651700, 4294637170, 4294643834, 4294626668, 4294617902, 4294618636,
4294607151, 4294610099, 4294599002, 4294615631, 4294590810, 4294594240, 4294588019, 4294586185,
4294582108, 4294570857, 4294566002, 4294570815, 4294579195, 4294562623, 4294558601, 4294545711,
4294549339, 4294537216, 4294533233, 4294529370, 4294534144, 4294526824, 4294525952, 4294521994,
4294517760, 4294504513, 4294500352, 4294496321, 4294495609, 4294497658, 4294488744, 4294489466,
4294485386, 4294471744, 4294468350, 4294463488, 4294470982, 4294455301, 4294472937, 4294447109,
4294464778, 4294438912, 4294456833, 4294430720, 4294448803, 4294429629, 4294441365, 4294424610,
4294433173, 4294416578, 4294402812, 4294398718, 4294393893, 4294413232, 4294385701, 4294392040,
4294377509, 4294383809, 4294369280, 4294388795, 4294361434, 4294357942, 4294359791, 4294349858,
4294355272, 4294341475, 4294347080, 4294343186, 4294329086, 4294326130, 4294325311, 4294318771,
4294317119, 4294331630, 4294328493, 4294310680, 4294307144, 4294296391, 4294292542, 4294285740,
4294284646, 4294276092, 4294295895, 4294272432, 4294274637, 4294258991, 4294260486, 4294256153,
4294271498, 4294249602, 4294241849, 4294242698, 4294236371, 4294236236, 4294229943, 4294226463,
4294227342, 4294209650, 4294212865, 4294226510, 4294204673, 4294205732, 4294199390, 4294210232,
4294206319, 4294178512, 4294173318, 4294181039, 4294175456, 4294172847, 4294156489, 4294177727,
4294155464, 4294156621, 4294139969, 4294144471, 4294144452, 4294139572, 4294136260, 4294133025,
4294140902, 4294124980, 4294107816, 4294119604, 4294112957, 4294120431, 4294090757, 4294096987,
4294083239, 4294104058, 4294075047, 4294096048, 4294079342, 4294087864, 4294070809, 4294080174,
4294066315, 4294062580, 4294054475, 4294049638, 4294059783, 4294055817, 4294025417, 4294021423,
4294029075, 4294013607, 4294035346, 4294005382, 4294017585, 4294008817, 4294005973, 4294001344,
4294010861, 4293988895, 4294002853, 4293972082, 4293985024, 4293977027, 4293959879, 4293955785,
4293964874, 4293974201, 4293956682, 4293952762, 4293935750, 4293948724, 4293940736, 4293923016,
4293932982, 4293928185, 4293910593, 4293919993, 4293902336, 4293914068, 4293907967, 4293903944,
4293886153, 4293900482, 4293891322, 4293874430, 4293883130, 4293892320, 4293861381, 4293884278,
4293853184, 4293876151, 4293858553, 4293841661, 4293836800, 4293846625, 4293842675, 4293851629,
4293834553, 4293830241, 4293826386, 4293821690, 4293804798, 4293799973, 4293810224, 4293791781,
4293787849, 4293783552, 4293806698, 4293775360, 4293785692, 4293767814, 4293782451, 4293773437,
4293774418, 4293765245, 4293774260, 4293757053, 4293753081, 4293734400, 4293750177, 4293740668,
4293722619, 4293718217, 4293741594, 4293724618, 4293720555, 4293716638, 4293712363, 4293713452,
4293709542, 4293685756, 4293696862, 4293704774, 4293673143, 4293683962, 4293664951, 4293688420,
4293656958, 4293680231, 4293649030, 4293664500, 4293652680, 4293656308, 4293647188, 4293655763,
4293638996, 4293647720, 4293616124, 4293613362, 4293622623, 4293603511, 4293614431, 4293595338,
4293619082, 4293587146, 4293598114, 4293579398, 4293595358, 4293572581, 4293581662, 4293565459,
4293573537, 4293556197, 4293550281, 4293545984, 4293557913, 4293539812, 4293549158, 4293531620,
4293547149, 4293522088, 4293517820, 4293513896, 4293537232, 4293507043, 4293529124, 4293496832,
4293521187, 4293489319, 4293485051, 4293480448, 4293492047, 4293487994, 4293496772, 4293479878,
4293475663, 4293471947, 4293452456, 4293448188, 4293443767, 4293455768, 4293435575, 4293431497,
4293443644, 4293451928, 4293435487, 4293415240, 4293427380, 4293428626, 4293405371, 4293398728,
4293398179, 4293390663, 4293390443, 4293382471, 4293394539, 4293374135, 4293373610, 4293382522,
4293366589, 4293374682, 4293353800, 4293366168, 4293350259, 4293358118, 4293342291, 4293339434,
4293345854, 4293330582, 4293326163, 4293333628, 4293312810, 4293325349, 4293304760, 4293311792,
4293298785, 4293309234, 4293292243, 4293284168, 4293281012, 4293276516, 4293284680, 4293284709,
4293263382, 4293276517, 4293256572, 4293251370, 4293248243, 4293242880, 4293251911, 4293234714,
4293235838, 4293232719, 4293227646, 4293223637, 4293219454, 4293210172, 4293206199, 4293201980,
4293216125, 4293199644, 4293208346, 4293193303, 4293198888, 4293186745, 4293190805, 4293191251,
4293165082, 4293161002, 4293172168, 4293152768, 4293177498, 4293162405, 4293169359, 4293136425,
4293149164, 4293128233, 4293152985, 4293138914, 4293119096, 4293130890, 4293116684, 4293122829,
4293099635, 4293113580, 4293094286, 4293106983, 4293093267, 4293098121, 4293085075, 4293088404,
4293068456, 4293080649, 4293073397, 4293074810, 4293050518, 4293058011, 4293062686, 4293038088,
4293047629, 4293031488, 4293031891, 4293021811, 4293038286, 4293013511, 4293010675, 4293005319,
4293001364, 4292998824, 4292998270, 4292995115, 4292990078, 4292986340, 4292976648, 4292972604,
4292968456, 4292964501, 4292981003, 4292961763, 4292970360, 4292958189, 4292944339, 4292958313,
4292936441, 4292931626, 4292946444, 4292923434, 4292948320, 4292934588, 4292940364, 4292936321,
4292903672, 4292898857, 4292911696, 4292910551, 4292915962, 4292904080, 4292895312, 4292896266,
4292887120, 4292866809, 4292863682, 4292878080, 4292853792, 4292871769, 4292862543, 4292871022,
4292837577, 4292853536, 4292840994, 4292847508, 4292827448, 4292839481, 4292836071, 4292829369,
4292811064, 4292812175, 4292796743, 4292815676, 4292794679, 4292804570, 4292786487, 4292796964,
4292792390, 4292788325, 4292784309, 4292759880, 4292779111, 4292753831, 4292767707, 4292766464,
4292760181, 4292736996, 4292751612, 4292727082, 4292752243, 4292718969, 4292744087, 4292710623,
4292730168, 4292717308, 4292721976, 4292698775, 4292719598, 4292687092, 4292711522, 4292693131,
4292697714, 4292675967, 4292667364, 4292667775, 4292657349, 4292683193, 4292649157, 4292668441,
4292640991, 4292661003, 4292640417, 4292633726, 4292642993, 4292641212, 4292616252, 4292633020,
4292608222, 4292627753, 4292607648, 4292616937, 4292603967, 4292612161, 4292592007, 4292599771,
4292583815, 4292593181, 4292585403, 4292593152, 4292559758, 4292585394, 4292559609, 4292567002,
4292543374, 4292559663, 4292555584, 4292560822, 4292550914, 4292541081, 4292542900, 4292528143,
4292530139, 4292507620, 4292501583, 4292499428, 4292494220, 4292491235, 4292496503, 4292483043,
4292476987, 4292473055, 4292471750, 4292479171, 4292460622, 4292481546, 4292465786, 4292449524,
4292457594, 4292440286, 4292436045, 4292431951, 4292427776, 4292423759, 4292433017, 4292415547,
4292411392, 4292407355, 4292403423, 4292399182, 4292402849, 4292390912, 4292394657, 4292396154,
4292378624, 4292374528, 4292370432, 4292387778, 4292362319, 4292379625, 4292354209, 4292350419,
4292361232, 4292342521, 4292337825, 4292355143, 4292329472, 4292356085, 4292321440, 4292317650,
4292313248, 4292308992, 4292304896, 4292317776, 4292318295, 4292309584, 4292313647, 4292284577,
4292280787, 4292276385, 4292272128, 4292268064, 4292264015, 4292259840, 4292255823, 4292251808,
4292269274, 4292243456, 4292261238, 4292235592, 4292255892, 4292233528, 4292223479, 4292225336,
4292237062, 4292210688, 4292228564, 4292202496, 4292220474, 4292194383, 4292190710, 4292186112,
4292204418, 4292200361, 4292196226, 4292192193, 4292188034, 4292183611, 4292157818, 4292153847,
4292149426, 4292167651, 4292141234, 4292159459, 4292132864, 4292159606, 4292124672, 4292143181,
4292129120, 4292137766, 4292124003, 4292126594, 4292114343, 4292118604, 4292106151, 4292110412,
4292083872, 4292079794, 4292089766, 4292071424, 4292081574, 4292063429, 4292081741, 4292055040,
4292073549, 4292047009, 4292056997, 4292040672, 4292034560, 4292032480, 4292026447, 4292022272,
4292018176, 4292014080, 4292032642, 4292007903, 4292024500, 4291997696, 4292015675, 4291990179,
4291985911, 4291981312, 4291999975, 4291973120, 4292000056, 4291964928, 4291982906, 4291956736,
4291952640, 4291948544, 4291966850, 4291963191, 4291958658, 4291954999, 4291928064, 4291946043,
4291919872, 4291915776, 4291911858, 4291907663, 4291926586, 4291899471, 4291918412, 4291891259,
4291910291, 4291883067, 4291879073, 4291874894, 4291893098, 4291866624, 4291876775, 4291858490,
4291877565, 4291850240, 4291846304, 4291842048, 4291861282, 4291857178, 4291849911, 4291849039,
4291841719, 4291840899, 4291813535, 4291809441, 4291805490, 4291824744, 4291797298, 4291816591,
4291789106, 4291808130, 4291780608, 4291776672, 4291787533, 4291792030, 4291779341, 4291783838,
4291772558, 4291775646, 4291764366, 4291743744, 4291753837, 4291735858, 4291748646, 4291727666,
4291740454, 4291719168, 4291732262, 4291710976, 4291721068, 4291717901, 4291715877, 4291713862,
4291707685, 4291686875, 4291682304, 4291678683, 4291674112, 4291670095, 4291691127, 4291662298,
4291681475, 4291668707, 4291673333, 4291669329, 4291641505, 4291637285, 4291658665, 4291650001,
4291656010, 4291644781, 4291647912, 4291636589, 4291608736, 4291604516, 4291621410, 4291620257,
4291623370, 4291613924, 4291605026, 4291605875, 4291596834, 4291571873, 4291572290, 4291587509,
4291559730, 4291581434, 4291572257, 4291570932, 4291564065, 4291538944, 4291536547, 4291551778,
4291546477, 4291543586, 4291545496, 4291514371, 4291530093, 4291506179, 4291502224, 4291498290,
4291513708, 4291489792, 4291505516, 4291481602, 4291477504, 4291473408, 4291469312, 4291465361,
4291480939, 4291457499, 4291452928, 4291449307, 4291444739, 4291440640, 4291436544, 4291432448,
4291452371, 4291424730, 4291444319, 4291433570, 4291436127, 4291425378, 4291403937, 4291399717,
4291396151, 4291391488, 4291399936, 4291400801, 4291390369, 4291392609, 4291402402, 4291366912,
4291376013, 4291359547, 4291369127, 4291377814, 4291363938, 4291343163, 4291356636, 4291358354,
4291345352, 4291341565, 4291321863, 4291336432, 4291328135, 4291311874, 4291336935, 4291306132,
4291323404, 4291294009, 4291310297, 4291303471, 4291302105, 4291276803, 4291273581, 4291277903,
4291282374, 4291279741, 4291257747, 4291271860, 4291263279, 4291250719, 4291248712, 4291256094,
4291241076, 4291247902, 4291244340, 4291241990, 4291236345, 4291211570, 4291218469, 4291218310,
4291220062, 4291212861, 4291191912, 4291210906, 4291183720, 4291178714, 4291184220, 4291171222,
4291177403, 4291183347, 4291160505, 4291175155, 4291168950, 4291145945, 4291142632, 4291138453,
4291153015, 4291151332, 4291125909, 4291129872, 4291148590, 4291113232, 4291110394, 4291105684,
4291110747, 4291123948, 4291103962, 4291108311, 4291115937, 4291103450, 4291076969, 4291084782,
4291074642, 4291083328, 4291072659, 4291077721, 4291051823, 4291070681, 4291043343, 4291055654,
4291036013, 4291045653, 4291030532, 4291047036, 4291037717, 4291014663, 4291025711, 4291013151,
4291020649, 4291022750, 4291002718, 4291003027, 4291010547, 4290981903, 4290992942, 4290974002,
4290969674, 4290966381, 4290986128, 4290976339, 4290962273, 4290968147, 4290945078, 4290941146,
4290936905, 4290933654, 4290956036, 4290949626, 4290920501, 4290935378, 4290912261, 4290908160,
4290904830, 4290900042, 4290927565, 4290891781, 4290919386, 4290883638, 4290911214, 4290875392,
4290872061, 4290867200, 4290873012, 4290883250, 4290865286, 4290875063, 4290846791, 4290842629,
4290838528, 4290853789, 4290830373, 4290851537, 4290841821, 4290843345, 4290813967, 4290841600,
4290805760, 4290822861, 4290798445, 4290807048, 4290809872, 4290811491, 4290784361, 4290808887,
4290776169, 4290790268, 4290778377, 4290787129, 4290782137, 4290773788, 4290751592, 4290776128,
4290764492, 4290760441, 4290754968, 4290727943, 4290750478, 4290722220, 4290736065, 4290738981,
4290727848, 4290710915, 4290724985, 4290717722, 4290715731, 4290687358, 4290689851, 4290679661,
4290693573, 4290692017, 4290685381, 4290686797, 4290662338, 4290669359, 4290650388, 4290668218,
4290649582, 4290663664, 4290641283, 4290655472, 4290633513, 4290653300, 4290623179, 4290627164,
4290611360, 4290624333, 4290602037, 4290598916, 4290604927, 4290593168, 4290592969, 4290594395,
4290580429, 4290581069, 4290568215, 4290565181, 4290567393, 4290556403, 4290555595, 4290550114,
4290555958, 4290550423, 4290549970, 4290531408, 4290532411, 4290523507, 4290532404, 4290523383,
4290511403, 4290513600, 4290508063, 4290505667, 4290509437, 4290501887, 4290499578, 4290485963,
4290478634, 4290481539, 4290477797, 4290481334, 4290462378, 4290479639, 4290464308, 4290473841,
4290454243, 4290442093, 4290459474, 4290440169, 4290436847, 4290444265, 4290421593, 4290437101,
4290430126, 4290416821, 4290414834, 4290427071, 4290415849, 4290404173, 4290394744, 4290392042,
4290411687, 4290398884, 4290385778, 4290368616, 4290374001, 4290362305, 4290372094, 4290360871,
4290373043, 4290360669, 4290348119, 4290354694, 4290331835, 4290344441, 4290348548, 4290338857,
4290324657, 4290327900, 4290306568, 4290306988, 4290307322, 4290293775, 4290299130, 4290285572,
4290305918, 4290297930, 4290276151, 4290271690, 4290268407, 4290271366, 4290262543, 4290265080,
4290249391, 4290276530, 4290257508, 4290239143, 4290243532, 4290241175, 4290237654, 4290240072,
4290216141, 4290215081, 4290207966, 4290219261, 4290199623, 4290202477, 4290198200, 4290198326,
4290183218, 4290185298, 4290184605, 4290186350, 4290205993, 4290165864, 4290166969, 4290165467,
4290210585, 4290148977, 4290207254, 4290148765, 4290213028, 4290133125, 4290129383, 4290178039,
4290157473, 4290160588, 4290158703, 4290124725, 4290135109, 4290157317, 4290152340, 4290090504,
4290112358, 4290161615, 4290096541, 4290153252, 4290091077, 4290090048, 4290096524, 4290135537,
4290078966, 4290128813, 4290050627, 4290120659, 4290052747, 4290052905, 4290109332, 4290023442,
4290091830, 4290062437, 4290056256, 4290087581, 4290037674, 4290050227, 4289994823, 4290018117,
4289995107, 4290034246, 4290027225, 4289991341, 4289997892, 4289980138, 4290041068, 4290039930,
4290022521, 4289981176, 4289985140, 4289941862, 4289982405, 4289979461, 4290005887, 4289941939,
4289932492, 4289945376, 4289928485, 4289910462, 4289958813, 4289965149, 4289963205, 4289896572,
4289889411, 4289886944, 4289880247, 4289904175, 4289954002, 4289869517, 4289940042, 4289875994,
4289934263, 4289859562, 4289901654, 4289903911, 4289854540, 4289876751, 4289888044, 4289893172,
4289904884, 4289840697, 4289826851, 4289824833, 4289853285, 4289811337, 4289838904, 4289794881,
4289789954, 4289830413, 4289789801, 4289779945, 4289777915, 4289771493, 4289767861, 4289768093,
4289784615, 4289773642, 4289771615, 4289745557, 4289773524, 4289744311, 4289806601, 4289752558,
4289805213, 4289740000, 4289737126, 4289738622, 4289730024, 4289752272, 4289730731, 4289707331,
4289741795, 4289728307, 4289734249, 4289681897, 4289725126, 4289731175, 4289688742, 4289699942,
4289665659, 4289683977, 4289731553, 4289675943, 4289694481, 4289669634, 4289669572, 4289642628,
4289653393, 4289640011, 4289635147, 4289646629, 4289617753, 4289606558, 4289646110, 4289639658,
4289617539, 4289669957, 4289652579, 4289585968, 4289591486, 4289614472, 4289616077, 4289617415,
4289642419, 4289629554, 4289634599, 4289551703, 4289606540, 4289560946, 4289618151, 4289610718,
4289530338, 4289580394, 4289519626, 4289588838, 4289594455, 4289574518, 4289584213, 4289558528,
4289512319, 4289545343, 4289560517, 4289494428, 4289555121, 4289536494, 4289546957, 4289466909,
4289474247, 4289476123, 4289527490, 4289451288, 4289499616, 4289446009, 4289481527, 4289465883,
4289444311, 4289472085, 4289432545, 4289448719, 4289485554, 4289449005, 4289433199, 4289410637,
4289407644, 4289435028, 4289388908, 4289422266, 4289407087, 4289404187, 4289434102, 4289448937,
4289380926, 4289360899, 4289382293, 4289381508, 4289411787, 4289352258, 4289357478, 4289346901,
4289336869, 4289409157, 4289329679, 4289343045, 4289397062, 4289326411, 4289358898, 4289385292,
4289339887, 4289324135, 4289315941, 4289334399, 4289351780, 4289284153, 4289275323, 4289330940,
4289283437, 4289286460, 4289272120, 4289268256, 4289275854, 4289274211, 4289243347, 4289293888,
4289241004, 4289230861, 4289234786, 4289244178, 4289225953, 4289228464, 4289261493, 4289226128,
4289222414, 4289241094, 4289207578, 4289233219, 4289204631, 4289179837, 4289212007, 4289185449,
4289193386, 4289183965, 4289159258, 4289155146, 4289190146, 4289158964, 4289151621, 4289221505,
4289142028, 4289146581, 4289131812, 4289137450, 4289121881, 4289167272, 4289130905, 4289143664,
4289101979, 4289107268, 4289112577, 4289132629, 4289097806, 4289094059, 4289100284, 4289075070,
4289130061, 4289089315, 4289079287, 4289100930, 4289088584, 4289055036, 4289046355, 4289050404,
4289046080, 4289114258, 4289037969, 4289030877, 4289029347, 4289030881, 4289020569, 4289008599,
4289008505, 4289073073, 4289028965, 4289027904, 4289014970, 4289047435, 4289003707, 4288997165,
4288996991, 4288976832, 4288974397, 4289040764, 4288974718, 4288952331, 4289028395, 4288943470,
4289002967, 4288981981, 4288982271, 4288995944, 4289001908, 4288929303, 4288923124, 4288952137,
4288938255, 4288951100, 4288911546, 4288904867, 4288903986, 4288891857, 4288905663, 4288919575,
4288898492, 4288893700, 4288898366, 4288869829, 4288879228, 4288905893, 4288852112, 4288879310,
4288862286, 4288844972, 4288901081, 4288864426, 4288845852, 4288851574, 4288898063, 4288812537,
4288820677, 4288821492, 4288804356, 4288811685, 4288838315, 4288786829, 4288842455, 4288783484,
4288774337, 4288789050, 4288776370, 4288763776, 4288793763, 4288770296, 4288761707, 4288771940,
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