From 1f7c95f32839adc0a720727aeaca87f36c332abe Mon Sep 17 00:00:00 2001 From: Jeff Parsons Date: Fri, 11 Mar 2016 15:35:06 -0800 Subject: [PATCH] Ready to debug Windows/386 now --- disks/pc/README.md | 4 ++-- disks/pc/windows/2.0x/README.md | 6 ++---- disks/pc/windows/2.0x/deskpro386.json | 1 + 3 files changed, 5 insertions(+), 6 deletions(-) create mode 100644 disks/pc/windows/2.0x/deskpro386.json diff --git a/disks/pc/README.md b/disks/pc/README.md index 27dbd358f..813689951 100644 --- a/disks/pc/README.md +++ b/disks/pc/README.md @@ -82,8 +82,8 @@ that automatically run the software. * [Microsoft Windows 1.03b](/disks/pc/windows/1.03b/) * [Microsoft Windows 1.04](/disks/pc/windows/1.04/) * [Microsoft Windows 2.03](/disks/pc/windows/2.03/) -* [Microsoft Windows/386 2.01](/disks/pc/windows/2.01/) -* [Microsoft Windows/386 2.03](/disks/pc/windows/2.03/#microsoft-windows386-203) +* [Microsoft Windows/386 2.01](/disks/pc/windows/2.0x/) +* [Microsoft Windows/386 2.03](/disks/pc/windows/2.0x/#microsoft-windows386-203) * [Microsoft Windows/286 2.10](/disks/pc/windows/2.10/#microsoft-windows286-210) * [Microsoft Windows/386 2.10](/disks/pc/windows/2.10/#microsoft-windows386-210) * [Microsoft Windows/286 2.11](/disks/pc/windows/2.11/#microsoft-windows286-211) diff --git a/disks/pc/windows/2.0x/README.md b/disks/pc/windows/2.0x/README.md index 7ed0a676f..ed6ae878b 100644 --- a/disks/pc/windows/2.0x/README.md +++ b/disks/pc/windows/2.0x/README.md @@ -6,6 +6,7 @@ machines: - type: pc id: deskpro386 debugger: true + state: deskpro386.json config: /devices/pc/machine/compaq/deskpro386/vga/2048kb/machine.xml drives: '[{name:"20Mb Hard Disk",type:2,path:"/disks/pc/fixed/20mb/COMPAQ310-WIN386201-VGA.json"}]' autoMount: '' @@ -18,9 +19,6 @@ Microsoft Windows/386 2.0 existed as the following "point releases": * [Windows/386 2.01](#microsoft-windows386-201) * [Windows/386 2.03](#microsoft-windows386-203) -[Microsoft Windows 2.03](/disks/pc/windows/2.03/) was released around the same time as -[Windows/386 2.03](#microsoft-windows386-203), but it did not require an 80386-based machine. - Microsoft Windows/386 2.01 --- @@ -243,7 +241,7 @@ Microsoft Windows/386 2.03 Windows/386 2.03 appears to have been finalized in December 1987. -Note that only about two months separated this release from [Windows/386 2.01](/disks/pc/windows/2.01/#microsoft-windows386-201). +Note that only about two months separated this release from [Windows/386 2.01](/disks/pc/windows/2.0x/#microsoft-windows386-201). Directory listings of the five 720Kb distribution diskettes are provided below. diff --git a/disks/pc/windows/2.0x/deskpro386.json b/disks/pc/windows/2.0x/deskpro386.json new file mode 100644 index 000000000..03e5e24e7 --- /dev/null +++ b/disks/pc/windows/2.0x/deskpro386.json @@ -0,0 +1 @@ +{"parms":{"id":"deskpro386.deskpro386-vga-2048k","name":"COMPAQ DeskPro 386","autoPower":true,"busWidth":32,"resume":0,"state":""},"timestamp":"2016-03-11 15:15:56","version":"1.x.x","url":"http://pcjs:8088/disks/pc/windows/2.0x/?gort=debug&autostart=false","browser":"Mozilla/5.0 (Macintosh; Intel Mac OS X 10_11_3) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/49.0.2623.87 Safari/537.36","deskpro386.cpu386":{"0":[16777472,9,7,127,2554,0,211,425],"1":[19991,[366,5856,65535,39695,1,"CS",0,0,-1,2,65535,2,65535,6912,65536],[366,5856,65535,37632,2,"DS",0,0,-1,2,65535,2,65535,4864,65536],[366,5856,65535,37632,3,"SS",0,0,-1,2,65535,2,65535,4864,65536],[366,5856,65535,37632,2,"ES",0,0,-1,2,65535,2,65535,4864,65536],[65520,984880,984951,0,65535,[0,0,0,0,5,"LDT",0,0,114688,2,65535,2,65535,0,1],[0,0,65535,0,4,"TSS",0,0,-1,2,65535,2,65535,0,65536],0,0,0,0,[0,0,0,0,null,null,0,0],[null,null,null,null,null,null,0,0]],598,[0,0,65535,0,2,"FS",0,0,-1,2,65535,2,65535,0,65536],[0,0,65535,0,2,"GS",0,0,-1,2,65535,2,65535,0,65536]],"2":["DS","SS",0,0,0,-1,-1],"3":[0,583560464,1],"4":[0,[24006376,7340582,-268377405,7340582,7340582,-268370092,-268397152,-268428336,-268370267,-268375673,-268428336,-268428336,-268428336,-268400221,-268374185,7340582,-1073740063,-268371891,-268371903,7342523,-268376263,-268371879,-268376018,-268374062,-268376128,7342817,-268370322,7340702,-268370093,-268373852,1314,-1073726579,23990979,23991012,144441992,144441660,144442564,23991387,23991454,24009549,23990985,7340689,23990985,23990985,23990985,23990985,144441943,23991723,1846725354,23990785,23990985,23990985,23990985,23990985,23990985,23990985,23990985,23990985,23990985,23990985,23990985,23990985,23990985,23990985,-268374951,-268377071,-268373915,-1073727603,-268428336,-268428336,-268377087,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,-268428336,0,0,0,0,0,0,0,0,-268428336,-268428336,-268428336,-268428336,-268428336,-1073740060,-268428336,-268428336,-268416361,-268428257,-268428336,-268428336,-268428336,-268428248,-268422333,-268428336,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8190071,276824706,276824646,-723659572,-126357533,-126418872,861995008,4648960,64,-198921499,-1269540860,-1354714005,11885,0,-272170884,16252928,8420352,5242881,-268376277,-408878522,49808376,0,0,0,-2147482527,105474,3670016,392757304,470618994,543436387,293026080,829298537,154666035,470615862,235408904,8292,18874449,-1593835518,5243680,4096,5890,0,0,0,-738194162,-365942525,12288,999959,301989888,256,336860180,16843009,4063262,1610616856,84611337,285212752,1799,0,0,0,0,0,-1073740346,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,48168960,454099493,16143615,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-126418944,861996544,5697536,64,-198921499,-1269540860,-1354714005,11885,7340662,185730320,14155911,8415232,5243649,7342533,154010130,34734192,33687609,7379680,-65421,330039301,1441791,331743288,-1622474472,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-384890076,1329794990,1363234893,1836008224,1702131056,1866670194,539914354,539575080,2037411651,1751607666,959520884,824980024,741554233,876099889,943272236,1442847285,808529459,-104844768,6037699,-2146238352,27001233,542003011,538976288,7340142,26322944,1380975011,538976334,8396832,-1476394896,27459985,827609164,538976288,7340178,26322944,1347158440,538980948,10756128,-1476394896,28115345,861163596,538976288,7340214,26312704,1430323638,538976344,13115424,-2147483536,28705169,827150147,538976288,7340250,26312704,1329791419,538980941,15474720,-2146959248,29622673,1129270339,538977355,-1,26281984,197067,0,604766208,604120066,671222786,604130306,1912766722,604140034,285352962,35914276,34341412,4522675,35914276,46006974,35914508,44368396,35914412,604766946,604120066,906103810,604205571,-1677477886,604216323,201466882,35914276,34341412,4522964,35914276,68682776,35914276,1543973904,201820935,604490242,604120066,-972570110,604120071,1174539266,1376209927,1845699591,512306689,-1943142003,-889090298,-4303278,1378740992,149672498,-352210350,45240835,18398806,844241643,1375988690,-1101659726,216727867,1421760082,1376119553,23969366,1431393104,-66707881,-1927363282,222792193,-1962842230,1871385167,1200264980,1144663554,-1743096833,-268176246,-996675581,521014911,28579071,125111411,99287988,-1274826661,-986777215,-1996387042,520553287,1532583263,-883270056,13616120,109494323,-1073085913,382539125,-260784117,1970405437,168865794,-2012973632,-1442699482,-1007100190,167913376,-1273596480,-115946239,-1073014924,382534773,4057835,-1342016142,-1927363312,222791681,-141835272,129739814,-854674432,-118103536,-1070391613,-1912461406,68861656,520391085,1397816259,129699508,1527827712,-970010792,50472710,33667279,-1007120240,-1878916424,-977012592,-956199650,4679,-141835272,11840550,-990505011,-503089919,516277235,1328087437,-167071726,41224644,-1073083984,516277241,-141885043,399311540,1954596086,700773906,-1406791307,399311028,1963050230,702931462,700650063,-907341233,399311540,1965671670,-2134575424,-134122247,1129783491,860888643,-2032628032,168063238,525924544,195,-628424192,53810746,-2020923277,-469105871,-2026830220,149619505,348979892,91612170,-118103382,-3807037,62130293,279450829,516286069,1328087437,-385109998,-628359316,53577611,410379274,348980148,-117324554,45356404,-469101363,28630901,53577609,26025669,-1022539896,-1406732405,348979636,1971373302,-1007427069,26025669,-1340977367,-14227190,-2016945525,817,348980148,1963050230,45400833,-469101363,-320103563,-1593821976,-1951726583,-774206527,-774778398,64082402,-1832840237,-149596487,-163794447,-1413183759,6011282,-393809418,-235476815,-122952314,-1271684157,169528576,-16485184,-1023145722,-1389955189,637798819,-2033634387,-1144748351,-403293084,682737923,-1195777545,1356986348,866985554,-2034137399,65271492,26524097,1499193847,-753680125,-1835803853,-150426695,-141340431,-1269198095,-132461311,1225395651,1919251310,1768169588,1952803699,1713399156,1679848047,1702259058,540688672,543452769,1769108595,168650091,544829025,544826731,1852139639,1634038304,168655204,16843264,4194816,50069864,16779520,0,66050,-805277694,195842,131081,33554432,33554689,20971584,134218238,256,33685504,1879179265,-16613376,524289,2,189531338,80348362,79103140,81593546,188287781,79103159,79103159,188287781,16778496,258,66048,0,131072,0,218300928,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-989517407,-2013164258,213454183,-523134971,1334429739,340757522,385860600,-1007154426,185079551,641254392,58131753,-1007042510,185210623,-130285133,280960116,157628933,-1696066955,240462844,185355547,-2096794167,41035258,1053150206,1569194381,-3934194,-401929194,516227084,1200161165,340757522,641254392,12256553,1125610501,-1961659837,749479671,83672056,-778565518,82885600,126605315,62374904,330761963,45548267,185472767,641265379,527828265,1342513342,-3151789,1200347275,-1962637299,1149767495,138906369,1527202953,-1106711720,57936658,1460345790,-2012933953,1703412861,122521865,-972722807,-956300731,2629,1003291483,108398412,-469039952,641254393,175506729,854066771,6481920,-941073657,-1964543488,26739525,1160317509,17528327,162596165,-670834477,372958443,158532905,-1979993880,1435044941,868481038,650350299,7872196,1173808178,192151812,116789172,1963001131,638891010,-1979095160,1200104964,1008448516,-1274907633,1736975914,861324037,-1966895397,2088765765,645202178,637863099,-2010773704,68645895,75604545,1706952462,4176132,-386288152,-1070335553,1170609869,-1017249783,1693844618,1418432769,54823685,-2096806653,-235470638,-166950254,-2033910031,-791752500,-1966208306,-1963947286,372902229,57804073,-1023257462],1,[1375717864,708829568,11557345,994100358,58066757,-167295605,1962869317,-2013155326,1170604869,1166738689,266633219,494015437,319061376,1166674293,-855329789,-133271021,109052611,67634240,264208,-2134706685,-58712972,-166234863,134556422,2105544820,-613154557,214470,16928128,629723627,1946614912,-840683004,-2143453165,857608053,-153579840,251936518,-352160737,21888517,1103008885,440585,1948596397,-1325800956,516234764,1204224397,520093714,772981753,33681408,0,771751936,-1677086045,-1373700306,175348745,1946811520,385822217,-375583984,-2144468774,84521790,-2144406409,34190142,513666162,243867406,512297396,109840822,113641912,-2147481158,84521790,-2132212875,-1064546048,-523041615,-654851325,-388822607,-1575062439,646580666,-6551117,1913237022,-1163898506,162633737,-670834477,-1173487015,-1287749623,58000137,1392538856,86817542,646579982,28314035,163186430,-1373700196,1918568201,-1287749566,57999881,-1979686680,973716006,1946792486,162701366,-1014905814,-1040317952,162735754,-1373700196,-350719479,2877470,750454542,-1289319931,162701321,-1373700196,-1677167863,185603839,-1274877027,-1962889216,-1005997042,520730142,1442841290,-1677320617,-208986362,750716686,1443687173,-1677320617,750657294,-50623739,16824657,-1655069197,1583292167,15135427,-1900006416,-1365168424,5022473,162570542,771772067,-1559568991,-1590820764,1721961183,788475392,235145949,237112848,246681207,68226978,4480,295896832,33028,0,67240064,131073,-123533566,1114153,1114116,16908417,1073872897,-134135808,1114113,4,16843264,14680576,133761376,33558272,0,66050,-805277694,194562,65545,33554432,33554690,94371952,150995961,512,33685504,1879179265,-100499456,524289,1,16908800,7340544,50005248,33556480,16777216,1308622848,1095639119,538985805,16785440,1308622848,1095639119,538985805,8224,1308622848,1095639119,538985805,8224,1308622848,1095639119,538985805,1308631072,1095639119,538985805,1308631072,1095639119,538985805,-1879039968,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1159146358,1476686337,-1023326978,-1360472950,1477079553,97408,1291715444,-729103615,1912708328,-259368115,-1070399565,167986310,-31033920,38074051,-1274382849,1913900310,-339476988,11659284,74720626,166448126,1912655592,-33393638,23324875,-989576051,-1996387010,1301024581,241010705,184806392,650377700,-729139830,1912685800,1153850162,1153826817,-397017086,1918763194,75271455,-339867890,768267,-963992333,-973533976,-1996387010,1301025349,65796116,-1007033333,183030922,-163483135,1962869316,24936507,-1976470528,3270896,74714994,166399920,1912622824,-1340247036,14936079,-989569907,-1996387010,1301026397,306562840,190513152,82573796,148678,1464947651,118359637,45598346,-1124073031,-494272511,1376519359,1526249960,909641074,133696516,1532583773,1464947651,-397015467,1918763034,-402190831,1955397773,199999236,-218100807,1560803494,-1017423521,1659422346,-1948742664,78710343,-930354989,-787789941,-393527072,-1974119855,-1191004218,-494272511,79628046,-128129012,1918458461,1096488,-2146696002,259260476,134956278,-964490123,-277525728,-1093803451,-339801097,-1190719989,-1527578613,-2141797384,175441660,1912609000,1153838597,-1017249534,780374,-970062478,855704388,785080054,86578746,-1336929677,-1092422128,-268235861,83242584,-117345025,-2147433483,6881001,1430388736,8263,0,0,-1,201667,1,2111,1796212773,9961838,14287214,4849776,33554544,134086656,142671872,137428992,84082688,7340106,337149956,1431180318,538976332,-1879039968,23991717,23991721,23991721,23991717,23991717,23991717,23991717,23991717,23991721,23991717,23991717,23991717,23991721,23991717,23991717,136708096,131077,-1073741822,1879090176,-452942848,4746105,0,0,0,1430323200,538976344,538976288,32,989855744,100663455,512,4849875,4849776,1215003109,0,479,0,1124073472,538988111,538976288,8224,0,40763,65538,1543553024,1543532544,1803150592,72,0,0,0,542003792,538976288,2105376,0,10435328,0,4333568,24013648,1610612757,1521093983,1521090560,720896,5439520,1297040130,1145979213,1297040160,0,144441344,0,0,0,0,0,0,0,0,0,0,0,0,0,33554432,543449858,862873975,865848,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,788660224,536936448,538976288,538976288,538976288,656416800,924593948,1851164,16814080,66047,1796,1050279936,144481145,0,1560805378,2204,157747559,-1610610329,402653187,-1878982656,2360075,340899,34996225,65796,0,-134217728,140509200,65537,0,7340444,134545422,3,0,56492032,65902,917504,198661,0,905969664,23987038,1,0,253165568,252654499,16780628,1465662019,942886473,775880758,4144959,-1610604339,-17786368,16838685,315164709,315162990,366,-16777216,-1,-1,-1,-1,0,1310720,27590680,-1,0,0,0,0,0,13312461,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1061109507,1061109567,1061109567,784,646655488,1313429352,540424243,538976288,16,0,-1426063360,558393954,0,1547322112,-2080434432,-220061498,639692419,-15055673,264177407,-773861015,-772812305,62950639,868257479,973507839,943622400,1170679296,637599492,-64057,38127398,101187583,1800421376,366,-559874048,1230438402,909652814,538976288,32,0,0,1215003109,7340124,-15335424,61014038,255,262656,65280,58624,1208877056,39801,7340106,0,512,6029312,13828208,10617198,5572737,-25735,1900549,56625308,-65536,720907,15728639,33,0,478,11141290,-65491,-1,0,138346496,23986387,-1686561688,-1622456983,296,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,328990720,33685870,23816,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-126418944,861995008,5697536,64,-198921499,-1269540860,-126372757,861995008,63607,-268422303,4194390,-1293615104,1476719652,-1268009900,778940224,140509184,84934768,68370,1050654,131456,163905616,34734192,7342382,137953810,23986690,-591069184,702670938,54394881,469434,525082448,238957686,734225,458963,1,23986542,115554083,1228800,7340699,4850194,516423742,34734446,521732107,1560805742,144441345,939726123,1570051322,5059,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],2,[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1570935,-126364708,-740556777,33746944,-757790922,117959035,-23265257,-23203840,520192,110,-396698427,17367040,39256176,39190640,23986690,27852912,92667904,27001636,23986250,1185760938,16794985,458761,13828223,425,23986542,474762775,-1686553727,998317215,5059,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1496839677,-1513577016,488613320,505355807,522067743,20455198,50542850,70911234,84017936,50463291,33752124,87885060,67895811,100744709,84279871,84279872,33751873,100811269,50610945,1141178626,17633029,38077702,38142982,21431302,117590031,117590280,117656073,139134985,67240195,84412939,33751886,302075666,51446870,39257346,22544646,50616833,1527055362,33771525,73139460,556007686,67568127,50856703,50856706,67175426,50529537,67569407,84346625,67176453,67569925,67570181,50924293,67570689,67702017,50859777,50532354,51187970,50860546,51138562,34217986,34218242,67195906,50550527,67195393,50934274,51139843,50943747,67982081,67183617,-251,118166527,84153346,117773569,84154111,67835649,84154370,17111297,118168066,67836674,117578754,67443972,67444479,67969023,34218239,34218242,118170114,50934274,67576579,67183617,84803333,353637375,421009174,488381210,522133278,-2140986334,-216077733,-1038113506,1562363935,1193183518,1746689052,-434119652,-702948833,-1910066408,1177006624,-1642058968,-2077777113,52491303,-971452139,1696162584,51708697,52013333,-1389909995,320880423,-1961297888,-1809344230,622417959,1645625878,404124438,-99044840,-1420090345,-1861051367,-2028410855,521736216,-1020626152,-1356202199,1768288358,-261841820,-177798812,-1620657052,-865752022,103381093,-10673316,1549198684,-1185490085,-1876356824,-1659726318,320476185,656047384,1130716519,-1978059427,258435687,-1101176216,157239135,-1777007772,-1206582510,638499605,876877280,366811397,519392607,1423069146,1451111667,838625450,381301221,1422283929,461591730,463149991,1448564078,1618108092,1613435922,391865383,391059440,1600920417,1678335625,1131156781,464853958,67896834,1082130440,50597890,280,9216,2883584,2949166,33554490,1434368,402664448,65580,156,771763200,973090048,16908288,5603,823656492,1140850944,77,2883630,3014702,-486473216,989855765,2168832,4587521,536870912,788540416,50346496,367198466,3866624,16785944,40448,3014656,3080236,33751098,1434369,402668288,65575,779381068,738209280,973090560,16777472,5603,773324859,1392509440,19269,2883630,3014701,-117374462,989855765,4003840,2359297,738197504,754986496,14848,367198466,2883584,16788760,1380664320,3014656,3080236,33751086,1441793,402668288,65577,29254,771763200,771763712,16908800,5603,790102060,1258291456,82,2883630,3014703,66050,989855766,2037760,10420225,771751936,754985984,14848,367198466,3866624,16785432,17920,2097152,3080236,33751098,1434369,402668288,65894,19277,738205696,973090048,16909056,5603,-870842309,-1728052989,0,3014700,3801135,-134151678,738197525,6144,2359296,738197504,754986496,14848,367198210,2883584,1141509631,1684633193,1986994277,1818653285,168654703,-1667432429,-1600217443,-1532779871,-1465407579,1167753386,-1891529151,1162167680,-1907799735,-1835888497,1431279951,-1701226155,-1633837925,1330200991,-1499093675,1073748903,1012087629,1060977982,1095914059,-1122196671,1176389149,840781342,-1004717282,-904005859,-820122339,1310576413,1376059422,537199440,219549206,-2046523889,-2029484283,-167279094,-151587082,-151587082,-151587088,-151587082,-151587082,-151587082,-151587082,-118032650,-2305,-1,-185270273,-590081,-1,-1,-185273089,-2828,-1,-1,-1,-1,-1,-1,-151584769,-10,-1,-1,-1,-1,-1,-1,-184549377,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-16777217,564479,-385311743,-1061549139,343305,-1514529932,146697,1807356788,539913,-1793951372,1576143709,1572953494,1574133196,1580424666,1582784087,1583701591,-568424146,-1959866622,-821895650,108380170,-451507666,37539586,192157303,31621202,-451508178,-2133894654,-2043805214,-821893866,-1261437008,-1339757824,1482215168,503746350,1358601221,506920750,238693893,-411628051,132899210,-299484626,-2133035251,-1502326276,1952644224,1358725281,-58681740,-392334285,-1943142147,772111902,92020361,-611398772,47122174,-358367181,48144642,-1593644893,-2069691106,86024453,1476756131,505842000,538348549,-568422907,774277378,806784000,113651200,-1946155763,-1126986037,-1929705722,853249739,54429951,67552771,1049100547,1049101048,-594935050,184345553,-2146011932,1031035388,1997339776,-834764788,829751298,-351664452,48669484,47253190,-838416895,113639426,1358889680,718111412,67552856,-2034499581,-452528632,91553538,968681552,-1618268584,512167407,512623996,-13236866,-100303850,-821101010,378416642,-1959918304,-1962598874,4622572,92578094,85893934,92447022,86025006,-822083096,-2147053778,1499158533,1566531162,-13760737,772112422,92276367,1465196038,1397838422,654257744,-986839680,-1023074762,55542054,919273728,47122174,371129595,9299999,507954982,1931476991,1444856577,-1105258928,76022624,-952040320,3801412,-134020936,1582836429,920810271,47318727,-87883726,538348590,646524421,386794782,101222076,1929359592,645916698,235279732,-1176227321,146735110,1974399503,1703552516,133760773,251541242,-1909062961,772087830,85862027,788188155,85989004,505841966,-1139339771,-402257786,-680329363,-349804568,17060027,1793590130,-1770891189,87699140,1128724262,141852672,47318727,-1007091662,1164887078,86257289,86378124,-13965117,-32086911,840035327,7203044,-402646040,1283587864,-117440234,851641481,-466435136,47358774,-1342176280,-1101609985,-2143941351,194110,-952759692,1392693766,219790848,1577059048,1397759683,512433942,1017905874,973698303,-2096794429,-219479098,-229203,646448244,-12844332,-710802572,-12801022,-777911436,525884162,1364598467,-1558243757,-1900150062,-1963423220,-1392318690,208994108,208978746,-466427770,-269750269,200001418,-315437942,1959213740,855237122,1582914532,28885791,113651200,-117374255,-857917,-70518581,1964113024,1958742538,-1906685,-2147482934,-244051716,1947401344,-13709567,772716342,247019263,-326412976,1561216651,-351926808,-1021374760,1019477936,-889097344,209168188,1394507820,235989435,526112543,1971469515,-879709978,-546137284,-260593348,1394514732,-351216965,104065250,-1084813647,-1359867629,-1948135073,564592617,-400615919,-23002953,-65107198,-35723262,84302985,1149831100,44054020,-5192957,129821057,-108791950,168982391,183399670,-2132118318,91688190,199761686,521585409,-402621720,1418329512,72124678,-1329348558,419266815,-108988301,-2131528900,-294437634,1935997568,374493673,56146719,855639737,1405258706,506467304,3028677,523233256,809101403,56362639,56231567,3028677,841995240,521585600,552076881,-506460416,-506338864,-506338863,-838144304,-39726709,-771444478,1507906016,50071050,-1152166205,112788312,-1949158656,801040578,775341342,798156800,-1587651809,243991384,378209114,104530780,-730594560,1940600381,50373437,861032790,95795666,-523111945,-523116335,2059323531,2353164,74705361,13156993,-1325390616,209894913,-2013261592,1107492110,50075272,1509987048,-1262264743,-801395712,-802424718,-1997083839,-167576050,481297345,-1057095051,-1022590046,-1962938136,209828806,-1329448233,-386895105,378142685,-372178180,-1246172719,-136672507,-32601375,65110018,-1962116418,-387853872,-813039534,1225556670,-1979692568,-788313653,50373522,-1152363690,112788312,-1949158656,-303541310,918887982,-1041760210,-396681426,110046995,-987888808,-402641354,1528770224,50372958,129618483,-146784256,35031281,-1010814461,-69009228,-489684052,521585659,55844491,55709323,-401835871,1552546824,72124674,918750345,-1023234656,-1573519068,1019413165,-1979419393,520041176,375345671,-31969,-620018060,915082357,1552614230,-45315330,132653547,-1340312832,-56366846,-1408297794,41287484,-930429959,1960328109,65876728,854387697,-1527556115,1301030495,-73209836,-1962779511,-59905597,1946145256,-352145404,1446414792,384625411,-389903841,410142621,-2028358424,855077587,-76093212,-1996073847,1552483404,-1023112958,1508380592,-18180,-1959335957,906156574,47976075,-1980017688,1284047452,-1992899824,906156566,47980172,-459262269,-1031093502,938000638,906261063,906159266,-1023391840,637541096,568860612,39619067,-1022344052,-100660504,639076646,-83730548,-1898236989,-774337853,-1008479773,20717334,259263346,275907388,-5237132],3,[-1357477181,-2012747006,-1023234282,-504823886,106203642,-1591798077,1053033170,512426710,780796628,-907541807,175933946,-1995422580,1284047452,-74585852,1446176744,-1879395352,-1295841212,-1977674240,1186982082,510791600,1914229992,807831799,87080709,-1847008206,72124922,-1996071799,1284244092,1978254094,-92346117,-821934905,273976322,-93132605,637682887,273976320,369144515,-389903841,594691705,87703236,1128658726,393576448,-402496280,1726494958,-401837566,1820981828,239373314,-1329348558,521585663,1189674928,1011148802,-1979711557,-1996480482,-989848034,-1207945162,1149837567,993314052,-1995868941,885326916,-294259909,-1207819032,548995071,-1020277487,-947651189,-1951683326,-922833712,851508906,1963043044,-792396282,-1963529240,-662000956,-1968526171,-1314148872,1223348997,-896810493,-235417037,1195886731,-2010731355,-1431497146,52881398,61539910,1183393473,1177232907,-1965492467,1089000395,222726438,474400550,-953810944,-57786,113651395,788464464,48111246,-401937578,1552873860,37158676,868388352,-1174500362,-1510801280,1342633518,1265958659,-617406706,100668601,-1337724952,639988479,345591,639464720,-2147326582,-58658588,-1995344784,-1945815490,-402311162,-1326967359,92939843,1200104967,-874364136,48111243,371099942,-569996288,786140674,55576262,-919382016,-1030825586,-1090484034,112787466,648409856,721420963,268385730,-4717706,1060111,721423547,-754667048,-1545957664,512294918,113704968,550305792,329414,1342621594,-970863360,-889171450,3409607,512491544,113705014,1310770,3671751,113770495,-65478,1347901123,3401900,-1976437528,92940000,2615367,976349416,168064480,1491432896,1354980959,1304748,-1439574808,-193609718,-1403993256,1975519914,1019435258,-1023315103,41384508,1472454660,-18096,-1359822798,1599656439,518339,-385880856,516096001,-2029576442,-164183049,-16446202,911341429,1838731,860948707,1509876425,-1017513758,1408011093,772169355,1580736394,-1978174716,-13499298,54780881,-1959917986,106858783,-998023845,1566294788,771753666,87703236,1962934147,1173825033,1971322947,-1007303935,88471334,-1010597888,-847248968,-1010608086,-847183432,-1010608086,-847248712,-1010608086,-847183176,516118570,834332758,-2068576651,-169137459,-1796676558,-1021354456,1017967243,-386370524,-152370545,-1064382324,-315428213,1958742701,-1965258010,1992506109,221806597,-578157964,910872714,906078112,1442949282,906078655,85208712,-175440502,1023387880,-402426614,104660897,976681332,1947275782,1954495555,1946696758,1947679794,1947548766,1947024465,1946827826,104478276,1802768657,427029050,-389611862,-2143944010,332862,-80035467,-28918413,-340202553,-402149279,-1343553021,-1426515223,1593965288,-16812664,520494790,27901447,-1527525750,21227715,-167079445,1005096308,-386405632,-167116746,-1977215372,809303877,960237170,537718134,74604860,-478774724,-1325438743,28698716,17819742,27828278,-385736216,65601337,-11540224,292877834,637554920,540804490,154929011,1172837236,1048589824,1962935572,1962871451,1322253975,-45131837,548458122,-486034605,158772750,25002022,-32934903,921887435,27794986,-889004502,-66592384,-982229157,-503314456,-21042181,145772494,-1342094616,20834336,954796208,312489473,-15931119,-819278966,887621611,-1325208832,113653249,973079828,974091506,-1408535301,28108970,-956381186,-1226184734,1962621694,1187512057,-385962775,-251461625,-1561724670,-29103874,302398006,-402229999,518782521,717982352,1226273999,503714932,-24422649,1605300807,-167283449,717947601,-379730993,1085341297,1593884392,-400685481,119537347,-371291554,-164167941,-385543146,447807061,-1325498903,10348557,-1729557840,1019382272,910325247,85868228,-1192699085,-1262587365,645523457,1860701045,1300244015,-1070448618,1702897347,1592311574,-617393361,1528534760,28634738,1965446888,-846941178,854059818,642377956,29053891,460974080,1552620402,-2132573947,-2131000960,504395008,-167289659,521143367,701302132,-389850120,-118816761,1914393320,65753333,-1271984920,638445571,-1269238156,637921282,1525203960,82333949,-1966909440,1914715330,1954495583,117323269,1444807079,-1375273418,645936642,1963131566,-236433403,-1930930130,908025599,44828406,1406104831,29054494,452585472,1552622706,12842757,-149195392,1946190019,310037,1914364648,88405773,158599168,-1408842186,-2081882110,-1870730496,544476476,678692924,-1636497092,27762742,-654903284,-1245148591,-1341660416,-8525792,-1017513502,-1492728266,2112421889,-9573889,-1492189642,-9246463,-244113348,-311162564,-396447664,207159127,-11409344,777971907,-402652229,-193848713,854066155,-402541522,-160160461,753460274,-1152138459,82509827,310099,-397360502,509095476,-17242026,-1017438370,-1339152408,217609216,1381024767,954784563,-1274711526,620357636,-527804326,326369596,259262012,192153404,125044796,57936444,-87883600,-386713367,-991427340,558139652,-2094836600,1933577852,611616771,-1074472727,1709704032,369717824,208005151,-320142734,-386611223,1623131336,-397009405,526270540,1444867698,-2098716906,1914658319,-1949070365,240946119,58055435,-1962901317,868387832,1358165970,-201865333,-480589173,66822,-1996434813,1418207556,1962281507,611616945,-1070420757,1946449896,-12285437,84320822,1912856808,1207625963,-1607071627,-2010774266,1149961285,1166616084,373590799,222660902,638600331,-1961802359,-1993993660,-2128211131,1073743181,1877483286,910083091,-148464635,1979711237,1303400455,1476578536,1017213853,-1331858426,-200087294,1375998952,-964492150,65060624,1444820223,-695532408,1581222888,1510248223,-1959388558,906316342,88880777,-402431809,141705076,1913447400,-203953917,-1003043861,-402311618,427096810,491096870,102384777,2110006871,477923609,1595819148,-343887097,1196091471,1139475316,1173825168,1962967045,1166747175,491030813,524651046,639583368,-1995750005,-1960436924,-1071381179,38079014,-1290124152,-1877349632,121998118,639255689,-1995881077,1085480004,915408619,8658687,88443686,-1022738652,-1927723896,725023301,-1291829242,-1997277643,-1590290364,641728528,1964328329,1424134,905971176,-1023405917,109052088,1053044311,-1960443840,2106393677,19473926,-1993997449,902267649,123728866,-1023309530,1220910,1166616128,-1157204713,-873988073,312684287,-219626752,780873457,-1070399420,1946221955,-4502190,787713023,4210372,72190758,637959565,1946172803,1032005126,-1962576385,-1872040969,88471334,91586560,1950767080,1435182608,1926249239,1943223048,-1948611836,902267895,-24916510,-1928825601,-1393884857,-1150227463,-208928769,1077855278,1300964864,108891396,88471334,91586560,1950750696,1161373190,638349847,1930779961,653757190,-2095751797,-589154873,1962933891,788433859,87441033,939953198,1173825029,1971322885,1172498437,521541748,87441092,4031270,2011696244,1022325521,-102009850,-1070463509,-402597656,-1003556594,1912944190,598786817,423922371,477397160,1967500264,285259785,-1073074227,-1590817676,-58719514,-402426864,-1007091287,1967493096,-17372947,-953748110,-2147351995,228081444,1284128768,-2132178406,-989151003,638574976,637685128,772097417,637724833,506545545,374802006,82231047,1174407353,521577715,1595939304,1914658311,2106074647,1170613765,-986841084,637874742,638023049,-1022796404,88443686,503332645,1004202070,125143334,157125670,-2106450082,639452299,-1961015927,-1993991356,-1993995451,1149901637,1166550559,24415519,-1189053043,-391380981,-492111891,1472461049,-218090055,-953786454,637534213,1394119,1170679296,-1006633193,1077855278,1161307648,-1287359996,-1914440139,-134019459,48800046,826620198,-2094648971,729022525,-1474739062,1346532480,-1069760476,773748056,8920831,116069746,190659366,1059327349,90540582,977265792,-105876256,440699843,491076390,1150023029,1161504284,-1947437799,992353860,-478864571,1967171779,492604206,492649254,1552602485,1564091935,-1966312161,-1977214372,-80607875,1975576448,1563567806,266567682,1552659829,-1952584933,992352860,-1485502627,639392907,1963547963,1351609246,407145043,1543456232,1049177688,-1943141066,1929721862,-278403057,-385986840,-1590759602,-1804467502,910083118,922693125,-1893334296,-1195167419,-970063837,134412038,607044654,114437,-1960390773,-2098721962,-1950090966,1418404164,1090224931,-164494734,541362883,-804498293,-789917216,-1964864808,-1007275306,-930393520,1149796132,-2132705248,-757997103,-494221942,1510753417,-225721512,1979661440,130450179,-1950092741,-620032420,-2135164811,240945408,-326412861,-2011894653,1187441734,-706215681,-330893569,-1190955768,1317601281,-6690563,-1979723544,1190590302,57934572,-1979745048,1451882822,-7018245,-134527349,-1946645533,-470288058,1183438595,-178877965,-134396277,-247035421,-637140170,13796098,1187387764,-1590295809,-654900518,860356981,-1980500014,-470287034,871450249,-279016997,1978752569,-12126714,-396069630,259260113,-940616728,60742,33507014,-1962877207,-1993994172,1149964613,1166616082,-213480685,653612683,638928265,1377260935,-1074704757,1190541153,58000620,1429792447,521557534,526309375,-1984335267,837349198,1167009531,1166747159,272926993,323324710,-1961737079,-768348346,-1980270857,1174531398,-78216199,-45729024,1190531700,141886700,88471334,74776704,33507014,645190155,33113731,16471683,82593526,1191123060,-12138771,-145847549,-1070413269,-633420746,-276954366,1451993843,-112817157,49039094,1190528628,57936108,-151094808,1946741830,558139663,-2094836600,1933577852,611616771,82593526,-400684171,-1994395612,1418269764,-330893802,-1962314744,1776872782,72124909,-1946204534,-1195155995,414777346,1364336177,56672080,1480184808,1931434585,-298129149,-385991704,712178488,38127398,1444839424,384928595,1540816671,-1003085986,1929721406,1387286552,1492959464,1946158141,2374917,-397408907,-346489423,100607684,-386259992,-148440346,8389957,76155253,-29814552,-956004160,8392260,222661414,638993545,-1995487861,-1960438716,1149833541,1166747152,306481427,1149878323,1053046284,-1977221056,1144652901,1342665752,1492940264,-1057093261,-294271942,-2000437198,-14280636,279000581,1166616064,-1004595691,637875774,1407716863,-398217151,-588514255,858826937,-42014528,1149895540,-14292481,-1930884432,-384913155,78708103,-1325563159,-42080000,2028537520,-385699587,-1992884877,906313238,88088204,1015083659,-2096925185,889128902,1623131926,952559619,-379911053,521596208,47855359,47986431,47843015,512492640,-1142422820,-603549942,-637104382,1526952706,1623120363,1044300804,117896709,57999109,1527236483,108387082,48504458,-2035497986,179914691,-2035944704,1053076163,116785882,1962870023,-1426083826,96059646,-1599409408,-1968569080,280603331,-375000320,-1992889155,906313238,88088204,134661686,-969539579,329478,1623131926,-2131588348,225836860,-1408842109,84451894,118423094,-1974424571,-1180036028,-1510801398,922689302,922682074,113705692,73401050,47980172,-1895122712,-1895638010,1912789510,-11081469,87965380,84346614,-2096925441,643499975,1307123080,921865196,84414088,-402431809,91437112,585696176,-14739732,-16590282,-956113866,1610799622,-601977852,163899394,47974031,47842959,-622132621,-1006346050,-1190995394,-1527578603,189041238,382108586,1179035045,-396450395,-722927563,-1090054421,-986315680,-1190995402,-1527578603],4,[922689302,922682074,113705692,73401050,47980172,-1895163672,-1895638010,1929566726,-1179915345,-1527578616,-8552410,1325888800,150569793,1015149170,108339232,537033856,783290996,244138,-2144951053,1965096829,-152350973,-1012219853,-1963807512,915728578,-1427634061,-384847630,1444866917,976667950,1128593157,7700480,-133773778,1623130114,441903107,526276358,-697170081,50382467,1015041908,1174500700,854710248,-227546944,1391141609,-1074623714,-396950688,1935619896,-1336271098,917564163,85278336,370308607,-390057465,259143308,1961981672,-339673596,-1336270862,534702864,915455578,-1090486295,-225770656,1932981224,-352079868,356417768,-176816379,87703236,1962934147,205908204,1053092210,-148503238,536888133,1460020596,-371267503,-1912177525,1623068252,855082755,-1041737792,1053056566,-953809606,-46779,369581913,1245088543,1491620101,1140425713,648443737,4408823,638088576,-1001828983,-402310594,-1070403300,-1091933463,1623143811,-225749501,1580626920,61867379,921329897,85278336,385054207,1926692639,-1931875345,1008670430,-395348221,91436024,1055458992,1929526506,637549640,1946502538,1962281502,-351424505,10021353,-109805400,47253190,-2134212604,89491494,-957740311,33739014,-2136415182,113642868,637797073,638025156,-1962580598,-384112432,-351906679,1173825243,1946189829,-788085157,-1004141566,-617478275,-385805079,-922877700,54315262,104658294,28581747,41157676,-397409356,1935150839,-8853245,-1978026264,1979691232,-339673598,740455610,-26643449,-32344888,-1995344440,184556558,-1995868974,-352314858,10545634,-1964441168,17230057,1460030322,87703236,1128658726,123699200,-148445579,134218821,113696372,-1341193434,-1545369075,-1070398684,100870051,385321759,52738823,-370649570,908025370,620963745,162595328,-1410602797,1994965898,-1975225804,1053046488,-768408262,1128658726,74743808,268487297,1623072534,1103331331,1153899656,-1207944703,-839384320,-2130414806,637665482,4408823,-2130414576,-394264374,1418323996,-1330386170,-386930417,1932697576,-351883260,1435182836,-370873595,1508441934,115634688,977192023,1173825029,1602224195,652768519,280055,-18844608,1959329480,637978119,99290115,52823750,-1978224637,52732899,665042995,53584387,53874313,53614217,53753481,-141877498,616236822,438495235,53911862,-1974432789,867690691,-617470606,47253190,977191939,1173825029,645922883,1967488452,-788085235,-1977220606,-1004142243,1492652669,-278140733,330827379,-1020277487,84543174,-277354496,85460679,915137792,179045706,-2080672320,1015088366,108342826,704806016,-293396620,385779465,1061140487,-218102599,-2028178001,775794174,-1391168193,1967079229,84451342,524033828,113640821,-973077223,16971782,1930707688,168588563,-1207405367,-386334718,-1195118819,-152371197,1048579189,1946158361,374789,-469047061,243332984,-1979644662,503650598,91504325,101119542,158662917,17516534,-350289036,5629990,-350289037,88965150,-1960343488,243277596,-2096102134,192021243,224279334,-1746401929,-1003654626,-402316242,611455816,1930594536,607044781,1183458821,681633792,116789874,1947206922,-291772412,168228547,57999621,-335581975,1347886720,118904403,1245612854,921930501,91627150,-1014767733,-303306750,-386333879,-397986529,1532951421,521557587,9445119,87563916,87426759,-466483503,-1004851480,637875774,268584391,96937472,-454557695,-1005751750,637875774,1479,-130362904,86257348,1599626078,-18300129,-1207536659,801968401,-788085053,915079682,1049298250,76154188,537732490,1959016992,1161221,922731513,922682076,512492250,113705692,92668634,84608710,-304355328,1929665000,1195285,45613941,110098688,110035674,-890764580,95994861,188645376,-378208251,-964430965,-14030822,548930931,-1948521728,-1996141514,-955954634,-16429562,403097599,-387580155,594678447,-469105548,95957113,1352464640,-402320992,-2141706370,194110,-342031499,62412965,1973349120,-163676149,74776578,108382474,-117439560,118918379,-1106971969,196674790,-1583025408,-6093480,-1157163516,-423688805,83017220,-1409283143,41238332,1135216522,113702370,-971635450,-16443386,1930716648,-14775403,607044612,299755525,-1477932942,-2138868976,194110,-6215051,-1794753788,-1605143547,279446950,111286901,941526021,114408965,87438985,33703111,-389467392,57874563,1409241065,87441092,1530493416,91504324,88965158,-2080666816,-1497494585,1423621,1323869427,-1958186496,1980141307,-1427787771,1055396843,-1959235072,1980141307,82230789,-218100807,1950256036,1300243973,-2017574907,-326637563,85460678,66316288,2005733746,-34478054,548931187,-18159360,-117496087,-1946229783,-1006267106,-402316242,24318247,326887619,-402287711,-389869333,108260401,-854519880,1122550575,-133773588,1390936322,1964208913,1959332364,178184,-332142343,243907,-469043477,-1910575240,-1962576354,-1948568589,374115323,840455307,189041380,108335272,-1961067381,-132178340,-659959829,-971737857,16961798,47515334,-737753593,95945730,-389809920,141814725,286177360,-1017434163,1357632744,49809094,283371521,-346356877,2044988046,-957851642,1489300459,1945973480,2144261,1053040107,-2144991884,651692903,638273288,1074089344,-402320992,57877914,-402652488,784591769,87441092,1978368488,359000067,-1023017178,-2136415182,145230965,145752692,1353195532,95947380,-788085248,971702530,87441092,976667654,-97531,1342638453,-854517576,650337071,4408567,141821824,286767184,-1017434163,38633766,854065154,380627179,854067571,289258475,-1195116073,1053032450,520029494,518520980,13756907,-1830092364,49809094,16443392,-993853069,839202366,1166550756,918816258,-24967878,118060543,286701648,-1017434163,1128593190,1946648576,381177864,1529859345,-355211069,1930422504,168588568,-1207405367,-386334718,-1195119927,-152371197,-352320072,184120561,-1908377372,637892102,-1475655798,-1461095160,506491905,909559126,38570757,-2147433993,-779482507,-2131697024,158691578,-990847,-352170871,266436620,1946220928,-350265852,-400597321,243996499,-397344742,1935226595,-369170414,1053095138,736625974,-387484928,-1195120039,1053032451,520029494,1256718484,910083306,337504261,38139686,-495681536,637722273,-1020181111,38139686,209027072,38636070,-2131697280,91554041,1932957672,2144486,161661945,-662023419,-2131696768,-16446146,-75496075,-2147126160,225919227,-478095222,50036751,-128253065,833731,-389809829,108259777,-854520648,113689391,-402521391,1474881997,-1153338848,-521666558,-986090978,-1979354058,521539684,223251238,508988198,1962932867,1926314756,1238512419,1914617576,1107391767,1274405443,1183458891,650182148,637685387,-132229495,-1008104216,-387196533,87703236,1979711363,286898182,650325965,4408823,-1207536512,801968411,-379590461,49809094,242214913,208999283,141871370,-117435720,-1008119576,-352320584,2044988150,-200882422,-16777470,-1006302458,-1962747330,-1408939466,-995475412,1191369278,-1543182658,-8552410,637891845,-436255290,-218101063,84320420,-190754646,1486990082,-947672315,-469084156,1048777592,1979647348,1170679304,-335544328,1981714075,-1175221499,-1527578592,-386392298,-993793823,637721150,-2136472182,481822324,-1020277487,47253190,-390076414,87688903,244057237,1074005308,1915483624,977191990,1841571333,-514267067,4622886,-955969118,333830,-133773595,918880514,380371674,82231047,-218100807,-1573475164,195888390,-385648192,-1387200730,521590923,86257348,1930244840,-336898045,1477412072,1913452264,204728546,-466428558,922691817,48105102,839813926,1373211392,813819979,385278553,287160351,520040397,-1003093908,637550654,-486257269,108891415,48800054,826620198,-953809547,-2097151995,-253610553,-397157581,1935354526,-2094611711,427032637,48800054,826620198,-1590292619,958792426,91565893,378662,-689224960,87441092,90016550,-2147433481,112723572,-1020277487,-387461912,-1830289149,1344214528,879290451,-145729445,1962983619,9234545,1802634672,1955419735,-415242208,-401875224,1600055097,-24441996,521537310,-352145159,1837770318,71600651,84320822,1963900136,1300244197,1149968395,1166616075,289704730,474319142,638796939,-1960950391,-1993994428,1149966405,1166616077,1333798422,1444823045,295706390,558688261,95422303,-386399886,-1671884502,637760841,1055395209,-1664901657,1208322854,642253173,-1013119609,47253190,643237378,1377654155,1511887848,-1070455438,49743558,543287320,526260594,1950270518,1300243973,-544537595,-1341096563,526710304,1606678531,1053082375,-1960442570,-1007221411,-243990336,-2147433481,129500788,-1020277487,-387526424,-4718585,-16062209,-1060898877,-134646528,1967128771,-397192973,-1993940664,-1993994427,-1070396075,9707263,-389851045,343139973,-854522952,95994671,-1696007936,-1763130394,-77469210,-1931048728,-955959274,-536529402,319211267,-1342177276,301197328,54386802,-992775168,-989518802,721777726,1979668215,-14739962,855988278,89695168,1913727464,182839392,1053055858,-2144991884,-2092956339,783814855,1477872416,294643717,1512976056,-1005483800,-972741586,402847494,-390057382,1450319731,89659019,91504325,67456384,-1980300450,-1982713068,1418265172,88965124,639571520,-402635126,95952886,-436738048,-1000711485,-972741586,402847494,887668786,-988319201,-2147126210,1577321805,-293341437,-452671974,-369113368,-346095828,-442242822,95946355,-1020277487,-958024472,194566,84412102,180348950,1912603576,-1959103225,-133867506,-1008361240,1944418536,285325318,-389861427,113698185,-973077768,369428486,1913296104,-1961724660,184899646,-351439361,243720,1493095145,-20256424,91504325,-11280597,521537141,-423688426,-1187008508,-1426915317,-391462862,-639103895,-1898417655,-1962576354,775794163,-2083752672,1034755782,-1015730642,113712918,131828,1913239528,101107382,-957868539,-2136182008,194110,784639349,512427300,-538442408,1519940116,49743558,-390057448,-1938678197,91504325,67456384,-958463141,-521542393,50775806,113442819,50775639,1053032707,1049167158,109839736,123667834,910083267,1166681605,1007625218,-385649407,-202898127,-401874173,141878438,-854521672,-1007107281,88471334,259326080,47253190,-460068862,-402340888,-960240491,67293446,90016294,47857348,1950401526,79951367,-1070463628,-167722775,141893827,1946272758,15329609,-544530682,-796147661,504291304,909559094,246409221,-2034968693,155093814,13104899,-400984960,-91547833,276086794,57934652,1607461663,910083126,77719813,922389343,51920387,-1064523029,-544483186,-1031024077,112977,1494127592,909559094,125093125,-401259032,-1269363104,1049310854,-940113143,393510912,1595340520,403097398,1006633219,1021146113,850228227,1595075520,406750006,527761667,512636446,92930838,117388831,-952761580,198918,440157952,222037364,-348082464,1017818143,-972851955,171706884,125170656,1760097843,369167590,-21895137,2242185,1049173782,158664016,87441092,90538022,80996543,-23336765,2242187,-1049233909,36257408,-955878272,-2147342074,1460031999,-402511430,123724698,36421209,1964653696,-1441091424,-401952689,-164370925,1053075947,-1977219786,254018117,57999420,637775081,148983,638022784,17057270,1609100917,-485169150,163055220,-1020277487,88471334,1416953984,47253190],5,[-486283262,-402356248,868475653,229763264,918894110,1323828534,-1260942579,1049310855,-940113143,343179264,-1961498904,1958742746,1946369035,-739565821,-23336616,413212504,910083075,-389510395,-1950153673,9562577,47253190,1300243972,-1977204731,-1070398115,-1977688093,-635517501,872123138,1948297426,-1466373374,-1469025022,-1949272828,440369346,-1185821836,954728449,-986294003,-989514186,-1209530508,215148563,914863191,50937483,-2147432457,1760040564,-952738027,16979974,1946237952,1958742749,-31725300,1048786527,1946157848,-13221348,1191384070,512636446,1031799574,158605082,151439158,-503316477,532843441,520051433,1055399702,-208986115,440183889,-588774028,1492574948,-400572117,1021967651,116799231,1979646723,102700562,611248215,-963901838,-141828466,-2084370593,-378076677,2016855350,868481029,1480491986,74776581,-1878135918,572969098,-1977220010,-388823730,84809352,-494221173,89527947,-696200190,1411287808,1847494917,-400956667,-965601597,-1410801785,-503155946,1847495154,-1965585659,280291548,49743558,-390057448,-1502471461,918902302,1283458420,526255109,113653443,-1961360649,1317676793,1183458824,-1964756465,1347506924,652791691,1952012288,-489684192,-812950799,1946163432,113653459,-402651888,20709479,54324852,-117344776,1371757251,375818790,21400102,-1377302957,-1876301045,1962940392,-969489663,17108998,1006648040,1022194689,24508419,642892793,639002250,1392592522,196470790,505403788,309773630,-1911860248,911935449,51908235,-137417889,161560281,-2147440381,1963932867,911613459,52180677,-669086666,914961922,526254806,-1022105368,125158694,639536182,-1994451451,-1962597322,-1996301794,-972730338,331526,356879142,391482150,90314377,637886627,-2147138057,104232320,86257348,6195750,85008008,39750438,913560379,1520694263,1578535173,651201285,-1576778206,-1047853810,89033254,378137299,-1962474156,63015880,1929566726,47882508,24500471,-473396408,856146692,-1007133751,-1962582367,1958743001,1177232910,735639298,50623448,-1545915453,-1014299292,-148450765,1755513462,1712752901,1679166213,1037071621,-881524735,38177574,-1996134749,-1023055850,84936390,1173825024,1971322882,-1977200370,-511704499,16351472,-402295463,-546100178,565758259,-960235264,17108998,-1960388629,-1960439483,103486301,505087328,695338338,-1073018251,-1053088908,-930413965,1932257512,-5445626,-993790349,-402316242,244055906,921175380,1959332621,27453717,-385824791,1499005153,857675355,374985,378127353,512296274,1048773972,1946158436,226682885,1048830834,1946158440,234088659,113693042,-1979644657,-1962602986,-1962579954,-402303970,-1049489906,-967618473,939718406,47980174,-404205230,1918524413,651821993,-402635126,1300240283,1161437189,960591108,1014105685,1929796921,88471095,1479439424,726816592,-621345195,-125044853,-1960394101,-503905714,1955461123,115986704,-603550154,1940255490,1510450177,1183458911,394192896,1964468200,1495209649,249781081,1930681832,-16731610,-385527290,1721892729,1958742789,90481430,1913474280,1577502478,-402653179,57871556,-989912343,-1962592706,721768462,637721102,-2147138057,-1592888064,-1993996972,1386289989,1166616069,638182169,638930177,1529219,-1293368328,-402033878,-160170339,26667459,90538278,784646079,602408228,90219006,90314379,-1056708637,637588099,990011019,-145001517,198740979,1208055250,89033254,1381034195,910083078,1166747141,1435182609,-148502765,-930413962,24433163,89957184,1889779763,91398917,1926835032,-1959955396,-148466742,-1054145946,50387587,13796291,-930406165,-485772056,220588045,-919402381,87441092,1240187896,17295760,158777899,1889784371,1914079493,244013061,1793590612,-1981386229,-1996139490,721768982,-484281150,-930393663,1477241576,-930364302,89265803,91507010,1913349352,1411287488,1377208581,1681818373,158597125,89398923,1913379816,90743208,1853145099,89785857,1913393384,252102296,378142981,512427278,243991892,736626024,1468166668,642994768,-1962916214,-388365351,1300239815,1161437189,957510916,225576533,1929796921,71681800,-639098625,365094933,1515970677,-601977290,113653250,-398982409,1532623874,1198661398,11667683,89261823,1721871595,1958742789,90481427,1913363688,1577502510,-402653179,594676556,87441092,-1962577759,184906254,-486378048,1157703183,1292969489,112659,9707263,-369216279,-930349745,1232390667,-2097151699,-148504358,-1977220490,-388823730,1525205131,-471830006,199878694,1053040242,1621165366,1166616069,90349841,323324198,-16776520,855675934,-32642615,-1157717015,1776877567,-338791924,115028949,87441092,425560358,459114790,190678822,1960512263,206104581,-1226055822,-1610381080,-1641806586,58001468,-402566680,57868524,503351273,91627150,-469096566,976628852,1946491174,189265445,906327048,85329662,-963717492,-423627893,6416388,-1004590988,-402316242,-881655706,-1960881941,990049294,1929734670,1779337476,421935621,-1981778939,-117085170,747255019,103189023,-1629192187,-166759283,158599365,1946731766,-337366304,150765585,317249396,-167283709,-16443386,784649076,-1977219804,118882406,768451,125085427,-8552410,-1007324097,990049441,1946512390,1603092517,1926904608,236882463,985923077,1912934942,1847495448,278980613,-75298701,-352095742,-1007054812,-134024029,236882115,49586949,1950270750,106269445,-538435774,-337955847,-190738394,49586946,-1059912271,-534392693,534938111,1586177536,-521961470,-628362249,-110368685,-1950256549,-2096794602,-637333310,39191334,1960512451,1478396203,1183458821,-1564410364,-397015790,41095231,1049215838,-745863852,512285490,870843662,378101258,-1007155882,1487126579,84845061,89432904,189172518,274107174,312656427,1444317445,-943458299,333830,-788085019,113705474,-64140,88751755,973176193,-2093321124,-141884473,1912633576,84451374,-972749150,16961798,-423753962,1245612804,-1177056507,-1431568376,41164860,-152905845,96926347,37545984,-339492610,1312197630,-97531,1972175733,101107203,1053038085,-4717254,1569400575,1312197449,1961900805,1977105156,1245088526,57969925,86257348,-997178901,-402316242,57868063,848316139,-1950090807,-1898476297,82231239,-402650695,775686972,1860701812,168260619,-1442483008,-1007030814,-1341996669,-1934953696,-388460848,-389873310,1015086866,-1609992960,111281416,-1008455163,-24422906,89656971,89013891,990803199,1963281982,977191944,1300833797,-1898935223,82231232,-1440735048,-1414812757,82231211,1017963570,168981550,1009022144,1008759900,-2147257025,-341179956,82755561,1958742700,1952201742,1967078410,30179331,1324215210,-914305910,990338944,-385649161,-1974075234,1975519748,138316296,104761349,118883845,117493224,-1073083534,-2081881228,-1192665600,1359370238,1509756392,57892615,-989822487,-167414722,1947208519,1048589927,1946157816,-1932031215,1595872985,1946172800,-91531422,344709518,-148119765,1364611155,-1962510849,-400615718,1918565887,-150551030,-1070458878,1494384360,1935366238,-141861115,-1746395413,1950256119,66519813,92954591,527745034,-386430137,58001981,1325331945,401328434,-1977674145,1958742533,-336098556,-1010762230,-1962636706,-1598027017,111281416,-993789691,855974958,49587136,1208293026,-1559926109,1354958188,84320310,-987574026,-1017637340,1347508054,82196223,82198144,-972720891,-452663802,84281078,-1105038072,1157038152,1954545668,-2084140271,-423687482,309508,-259282957,885331316,1979711107,-779290143,110090638,1498940646,918773343,87301772,-2147189622,-410992433,914962143,-555023054,-1088413512,-1431632658,866795696,702912,-639063053,83673042,-1416451182,849475467,883010309,-410342651,839182011,-1957313600,116163564,922648201,87701189,-1929742711,384367710,1128593368,57966592,838896105,377894610,118883064,-1948816408,521600630,371151848,-132741089,977191938,2011714821,1685216526,87701189,-11961213,118901877,1245118262,-92914939,2123041653,1049179902,837289290,-14739753,1426393142,1576139496,1241943899,136218629,-92879611,-1992945805,906312246,87826060,1284032819,1229244163,-986251265,-1996146122,2126793036,1049179898,-1942616774,-133874682,-992507672,-443811202,1448592221,76217995,1963501800,229459479,1681727520,-1406700187,1983651852,-391372683,443877521,619206174,3964936,369456633,-24319969,1935613790,1610058498,-335952907,378287861,-952761548,1577267718,113718787,66358,56533814,345335,-144476800,8389956,-353870732,-1931834162,-1898213677,-1982123069,-2013059298,-1979502306,1151830748,-1948004079,-1156494961,646447908,780665636,-628227290,906052840,52903563,-2147432457,-796122507,-41887602,-1610189563,1587675953,673614339,-2133527037,-2081946908,1587623630,401326851,-1125588598,1963015177,-831461370,922709737,52962944,180874237,-31230748,-33196852,-1022266164,-15371009,300423028,390369024,-1022016369,-402646040,1223226172,300466944,-240261120,1021888779,1587557888,-1326549757,-1892236518,-402450426,-13185483,906156598,47986431,941526070,-1994451451,-1962592714,-1996278770,-1962746866,-1996279282,-1962747378,-352111090,403083023,-603549949,-637104382,-840374270,405208886,-839653373,99290544,-1328681752,-704059378,-466458251,88471334,-1004142464,276105085,1948414952,1703552598,227157505,310232102,71694118,1131677696,-141877498,113182486,1356827395,1487539632,-2035621754,-953767200,1342177285,637545448,-150765685,1954545863,71628569,74743808,82544308,112509322,1007204072,1476621569,-396836117,-977023642,-1427634316,105155541,52470582,572427318,520041987,1149960992,547567112,520041987,-1830288608,1364706261,-1341869744,-1090054634,1487536902,-1047899990,-1413467222,1476970371,-2035621754,-1014279996,-1411871573,-1834264487,-779644501,50772831,1347508163,37095601,-352146162,90874310,1962934077,-2084308990,350270,-1007091083,89661067,91544331,1912940008,113138,1912883944,1477872618,1976699653,-103684083,113761650,-64780,-1957488917,-402303970,1918568962,1411287300,852724485,67954907,72256038,-315440642,-150550959,-5236734,1930308328,650336514,100814475,91504324,88965158,-947693820,-775933168,1940648937,643803649,1074089344,-498968313,49586635,-1413220288,-1207958343,-1410129888,-1441746774,-1962227837,-1962592714,-1951724220,-1951723708,-1070355518,-943477845,-16443386,113660133,-1577057544,-1930951416,-1949201671,376658120,-92273291,-1341754240,-102485500,910083267,-104844539,1215585003,116786096,1964508422,2028800571,1977879066,109990368,-1977219722,-973730961,-400263935,1968831333,851456543,-1974382364,17164517,87441092,-991407274,1531999008,-1336387234,1504635654,-1444215376,-1511325264,-389969072,1935147114,-1023233889,1929376232,101119738,-210431995,-396995760,1532895379,1357411160,91504324,-452475354,88965158,607044672,1183458821,231270400,-994776232,855979582,-742659904,1342539558,-392427945,127737946,93267551,1540600040,-396863138,-1485635682,-1672064176,-1658829080,-1017619618,86257348,1048581747,-117439754,1223225717,-387157250,-411895785,-1007087893,58319882,-393193493,-210632498,84281078,-2146995192,333374,110027893,-74775178,-1190861122,-1510801403,84320420,856011178,-391384128,-1416442412,-1070355566,-1414812841,91502219,88899622,607044672,1183458821,-397193216,1482362146,1927318110,-990606686,-2096810434,-1070463801,125367818,91627150],6,[-1442101366,-963985357,514539532,169494469,906328310,86247109,534285483,-2086316373,-1515911442,-930370131,2046167725,-1950338300,-1851027000,-1413467221,2029390507,1200335644,-1959351526,-1962576842,-1951726012,281445315,548521515,-341118474,130515715,196735883,1587868416,-1007149290,1950270750,-1962112251,-2095118763,762446585,223230758,-550819977,-645180845,1510104552,-1017445773,49743558,-390057448,1918569415,-253171470,91495939,-964430965,113506330,87441092,459115302,425036582,628415243,141806123,-768357885,190679846,-401284345,24315739,-544517181,1527202280,-544799373,-118693310,1245775811,378258424,512361812,113640718,-398982409,1760035130,-957713909,17108742,89142923,244055691,-117242524,89144969,91504324,88965158,276663560,90062339,-1207516168,-1108869120,117666815,-1014224405,47974030,-24650866,24373713,128316324,1950270774,274566405,1776874283,1983587850,-402427390,385354434,1520550687,1520648197,1543912197,1996599301,113259010,1929345000,-601977158,1944703234,-1510759423,516240903,1333790068,2005745669,-1946277104,-386167817,992348708,57803382,-133530136,-154984682,-16445690,245376628,650182149,1979991610,1411287832,107014149,1827148915,-1995476474,-16427970,-1341828602,84845056,-1007041544,-1977199790,-1057094586,-1037377398,12177803,105244672,-939378830,989910400,-1976339510,-80002108,-1991513228,721769502,-1047833903,40302374,89142923,1352910339,727341061,1377698266,401103621,-119633152,79987651,-903101447,-855711446,84813448,-940848501,1317676625,-750106107,651365090,1493915139,-617393213,-1996102936,1527066174,1397879410,-1960389749,-75293602,638154498,35407559,113408,1580934723,-396921075,796001723,-1993936267,-1164829602,-169345023,639660549,-14778749,-14285708,-2020467122,-389903398,192021984,-489452653,-17717,1527108584,-392334759,-1737357949,1912614376,199198611,109934079,87441092,190679334,459114790,-2094611705,1963072638,-4564078,1763583,-389993640,-1007091710,861360723,773229531,93251589,-1017423265,1021891123,1962439173,1388809206,1510308840,-770970254,-2094658699,1962876542,1191126532,1222150942,132700532,-1009421819,1912935144,-544517126,1527052776,-544476813,-969478421,195078,44618290,-970587019,-1186529275,78118920,1948299411,871957252,-1314196535,147060227,-117242764,-1426863821,-2085901423,-1007283985,-402033663,-957874061,1174697216,-402625816,376832156,1966750848,1076643345,-397408394,1935151994,-1426083326,1196314438,-402650951,1015021587,1174893870,-402652231,-1031143411,1324942275,6744259,-397478026,594673760,-164230027,-16582138,540809588,-337439371,1965702217,-213929980,1060940458,-897524363,-1327961343,1319826208,1592306883,1325036544,113653443,369165050,82231047,539015255,-1442839111,-1070421005,1605030026,922717672,82198144,920221157,82183878,1017955077,1007055457,738359162,-1959374048,235099678,307756846,290700112,27842350,1354980184,290700115,44619566,1354979419,290700115,78173998,1019435099,1007056431,1555088220,-1006930749,-817987530,24379650,1392923075,118380062,113647382,-972750020,235092486,54331079,985333760,842450179,-118298624,1023866678,1946288131,1589654024,1493654303,1201682115,1963146243,113653490,906232636,54134470,243807766,-952761529,212230,113718784,66380,1593358312,1493654303,1006678505,1006990352,-1023314941,-1677684759,67565110,343211779,-838404554,209059586,70713142,908643587,50595471,1676198813,-617393153,1542199016,28636018,1962333928,1964195022,-387697986,1273755339,-1407781322,79385346,-336205824,114455131,-1962467753,1173825278,1946681349,649613336,1479527697,-969535629,175110,287619152,-346542131,1048589840,1962934956,-139663355,-1595407381,-1022926857,-1258325784,-159782911,861140596,-341186341,854356571,-160831260,-1670115268,-545979588,-1571920,-809506608,1048583958,1946157827,-391780349,538349306,505842437,-985602043,-821639634,-970063870,183814,-534345426,600700930,-425513222,777559042,48244283,-1590818955,266928870,46433220,1946157481,1275115761,-116996562,-353632510,772851134,282599051,-795948916,-402192708,-504692734,521537302,54265542,973522440,113710595,829,55320201,-1996277061,-989640650,-402640330,-953223320,1577273350,113716739,66380,952926403,-148469706,109852162,-1992948452,1443174958,16770945,1692982668,-1748804096,16770945,1962999683,-1977200630,-1573519290,727188176,1389364161,40302374,853017434,1446717156,-31821306,1446717124,638087952,-14793017,-32838657,1446717124,-33394165,920965316,84944394,-148501962,1183458818,109852160,-1992948452,637868590,-1944947004,-306687803,232598797,-947128261,-1976170637,839769477,-761055516,-1101637630,1558711693,-8167739,-1090292212,-2143944692,183870,61867380,915428075,86124169,-2093611242,-16432578,1444809844,1177994550,-16464379,922361694,47056638,-821101002,378418690,-1960442592,-855302618,646522404,-1943665378,-1945821162,919965381,86124171,-821625290,113653250,-83885362,439272502,1912683525,1010725942,910456067,49743606,-1338215416,117323267,-969538826,-16592890,1111393078,24510213,1347821251,88252726,1177994550,1476691973,918757214,49743606,-338660320,116799189,1947206391,382462918,54427679,57933827,-152654104,-16579322,113684853,838993175,181135808,-847072226,113653290,-1191247099,801968418,736633520,1392925128,-568423626,-1579446782,-1019543530,-650438540,911217781,85409408,-402230269,-152565044,110048994,521011934,988348336,87615691,-87343896,47122118,-804862464,113704706,-1895824635,-1895491066,-1912267770,-1912414690,-1962921962,-402641370,-1557216558,1482163486,-234702760,922693200,-13761252,772086326,-821748063,226394406,91426806,267975553,-117734461,1580934851,-400132339,510787770,242564491,225872678,267845249,-16053134,-271512341,-271454255,-410914863,521539583,1187456707,1358954270,-969504588,134412038,-401604673,54328855,-117344776,2011743064,-1948552704,1359770677,-489487183,266764633,638905088,-166887807,-2130021617,-2114977562,-351272990,200684290,909478386,91502277,1074089088,322863158,521535493,1397800820,86548817,91627150,-2012166525,1344214564,86644363,838861246,60025024,-988581288,-2147126210,-2092956339,642715847,-2013102589,521598981,-1017619623,85132998,1364414464,-1178367150,958795766,41094478,-1023153967,38701862,33618305,-796167563,33546881,-388971382,1174611608,1380993286,852527953,114368,1493383400,1265785432,91502277,51412109,1975598072,369461803,319225375,86548997,86644361,-1094700478,250085377,-987467261,-1929022410,92934268,698490646,86556421,861624666,2122393280,1930425869,-1463579902,1522751489,-1017619623,-235417037,-1004104725,-1977219219,295829574,-1037244411,-1023378968,-1004120314,-1977203347,295829574,-1038555131,1593861608,1978167815,1220555576,1192135198,653079040,910521797,3948228,1128658726,393576448,-1004120314,2112374141,1963417346,1166353930,637826121,-2092350071,-589147705,607044639,650377221,-14793017,-1605121,-150551040,448010242,-402320992,784661631,54265124,-1007091083,263200534,23497254,-972880221,16975878,50923207,-1977221120,329389638,-1155660285,-987364602,-402189706,521597748,155093767,13104899,849900928,1720067812,85041175,51652106,1592460153,-130190192,643106499,638742212,280311,1946639624,374808102,-150551009,-1006233598,-1945955010,117626886,47595145,-973074504,17108998,1610327272,1946369055,-8853226,3686085,1963214138,88471054,369652800,381941791,-977012449,-31939,-953751947,-57786,-2147434776,975177037,276104261,1074087414,-1913978252,-16497209,13821984,1962982376,2126849762,71694098,276111360,45817622,-46536704,1053145458,250283380,-986295034,-402638786,123535968,-947656078,512505360,521536278,51658377,-1977215312,111346022,134661635,113705475,777,373721638,100864930,1996432926,1996432916,50772754,-402186402,369619500,155093791,13104899,640382336,-988395894,637737014,1853127,172243456,-1813507212,1053112005,-1977220332,-1977219002,1166610278,840898296,1927922624,1053112062,-1336934344,88416479,-8176187,1492547071,943637814,-8142080,-151358209,1965032773,17584133,1036370776,-1006179093,452661,-24436986,719897351,-2096249665,1265958905,119457164,943113526,8841216,-1992946571,905984014,3813001,-661908245,885382795,1962962920,-1948741899,-1995666957,-661912980,885382795,1979711107,-1982296331,38243391,-16398554,1170679551,-385876222,2105589442,-1586102524,-1023409688,515819752,918894087,770179128,640119808,-1943652983,-1992949155,905984062,3802764,-561260404,300430533,-1896516352,-16267304,38258687,2145976319,-147078210,1381104501,-1030956660,1499122235,-1544145981,-1977219796,1053098054,-8191970,990672127,125109845,1963214138,913697538,3686085,1963349307,71645701,1036341620,1979711363,1053112047,1381367864,-1041758635,1516046080,845312606,116799204,1979647276,274566430,1442841017,-167030185,-722991244,-352144156,-453711867,1599733940,-1992658338,1837696597,205884426,4622886,-1207679607,-167051263,-1977218956,-1977219002,1166610278,-20781048,1981713462,512505349,-1992949728,906327102,1982089,-1021372680,1053163444,652738616,1166692352,104478212,343147216,-2093103784,-361365505,1048583958,1962935030,-1007041791,-16497209,954592000,-210500507,108322874,-133937862,1173809525,-478920699,74841936,1476398056,-461371790,71666111,-4668584,71665408,-176881860,1950401782,104478448,-378273072,-1928696380,1435177053,139299590,-315439734,-969480822,402847494,134563318,-2143943052,537065230,1476342615,28921937,508711680,535051752,1498962778,1191277151,-404566013,24510219,868442105,109524672,15270626,-326412866,1008397443,906917379,47253190,-1962823679,-219587099,1946303677,-60913170,-1996601716,1187445574,1451819258,-396456730,-1662455157,-363951676,-397033422,1918701262,-129594926,-1070409589,1926459624,-2134706681,45091444,-1342124823,13101322,15615687,-230242560,1190526976,1433731835,-1946388795,1975520004,512636431,748749534,-230258432,1031061515,-13385586,847249337,1974399680,-109728058,291343703,-1310040573,116118276,520388584,-352095399,-1064398732,871515785,-201421834,112804,-428423765,-202748277,-1189144924,1538916378,-400685550,119472938,-1073000590,440224628,-149326592,-15571194,-972786177,-1577059770,1295848027,1023964250,57953626,-1593743895,95490655,103538899,1183388259,-79235340,-1003785214,-1960379266,-330921723,38112038,-336181623,-351752074,-1962168318,-555157410,-1004541950,1424512336,-380084980,-1152319779,-400621569,1478427620,-2097147899,-713944581,-780680389,-375050,100866165,-982379931,-1049115845,308610603,308741635,-1019542414,-1014300042,-1982297314,-1377243042,-1519247613,99501705,1190526992,158662650,737166851,271447110,-163149568,-1947449719,1376936726,-489487183,-754142888,-1949791256,840890462,208005312,-385649889,1586233201,16482804,-1157402096,1579749344,78730228,-880024621,-329347554,-397290957,525926950,-935638926,721974363,16351688,20673282,1190653022,1979711476,-162624571,51538337,307602369,-1559073887,113513043,1470304879,62950418,307864513,378259763,1586172531,-1070391560,520877800,15270771,1628867583,1622823442,25475331,29943838,-361604601,-1090494023,1988821856],7,[1959922678,499459605,-972826484,922867854,1241827203,520547298,-1930833941,-20846336,50022134,1992625268,1183428092,-18196,-4510485,45017343,-512435445,1408261769,1526899688,99501705,1183383568,-2118110228,1930428667,-1312584954,769708804,-1957691136,-919340962,-1070345845,1493920488,871128718,1206407634,57892353,1006529257,-157387578,1963129670,-330921180,905973805,907172259,307693255,-964624128,-1992949506,907170614,-1911401053,313304,-128021760,1426136296,1560975080,-167698200,1946352454,1575324422,-1950678295,29290070,-230257920,91537419,-1982296504,-297366764,-1982296504,1988842004,-386792464,-10829705,-1893272970,-989844474,1444871286,-1190759227,-1085210612,478806108,-1070357261,1582934955,-984211937,1015679604,-1414814477,1959075678,-2134278142,-1527514741,-947205634,-873922766,-1979550971,851675897,96528603,-645266829,-4605976,1962873972,343211794,638743807,657039,201756454,-1900006656,-2012835880,-1979281664,113718784,8389338,-568422858,512505346,1190527708,661914107,1396098358,-58801134,274566182,478760526,242583846,1460061494,1569465874,1166616084,1575324434,918170345,307705541,1396622390,-88044526,-821639626,-796000254,519825291,-1899852202,-876377126,-1962930968,-397019042,-396555850,1405288461,-402652997,283689269,1405311744,-568423634,387074,1539386600,-1957651261,166261318,-297366784,1476396008,-1072970851,508099444,512350350,-1021378559,113653328,906167575,48105102,1929837187,440835,106158731,520208616,-1945669029,-1547500584,-346554366,822130726,-787496317,-754732582,-1215763990,-2043222990,167967014,113653476,1946158359,113653254,-402586345,-13191012,-1895637450,149623876,-969490382,333574,388401718,-492620283,-1199642622,856972430,-1094676800,-2000748534,-1515870976,-375020123,12580094,614544896,2156544,113443187,18757919,-1996196608,-2147483330,-294364611,-352320792,64523495,1073742598,-2144943986,-629912259,1513979942,-1007037324,1952071040,-1971974,958854514,1962934590,244000494,21037059,637534990,227020170,518577899,-1950338112,-324847880,-291293694,-257739262,-1590276094,-1276641244,101872383,20855071,-2144766976,242506301,1946131176,-152545042,-385371969,-2093565775,191550,-907515019,1552505783,-1075845118,-404027216,1929350632,51284956,-902080000,-779419018,2010725202,1048786626,1962935020,512505349,-2093612308,192062,906366580,49153678,51263782,91621120,-299987914,512505346,-1813314832,-266432970,51284738,-1932842240,54883546,1237487313,669768071,1048589968,1996554928,512636639,91357932,-299987402,51284738,-1932842240,1959824344,1086522139,-1991655282,637535006,200329,495340979,639469606,81545,-1590240626,27460318,1087933440,-1087117221,-390600983,12566309,1220578304,1946077672,-14227197,-806823794,-1946782978,1358955278,-1518937797,-385932311,12566273,1220578304,1929291240,1049175562,-152567807,-389944386,162578161,1018670313,1946972673,113653266,-1341848879,921561857,839037088,920579044,45096584,121436139,154928242,-225766794,907173003,48897673,907304075,48766601,2000092982,922695186,-397405579,-969490858,16961798,1525219760,-617364553,-397205738,494010654,4031270,-148499596,-2147482299,1049168757,109839670,-2115500744,-347907113,619273181,520042167,41025648,-957614869,1746861878,921955072,7085823,-13177621,1912635422,-1238439703,-1996333943,1150028412,72124688,509138667,-1239750570,-1024981153,112809661,1202057984,1587914055,1552614539,72125186,-1962519413,1150159484,141885198,1577868430,2115931190,512308741,-969538180,-16446202,380967145,47103751,-1173748039,-819264794,-372123861,-788475517,-1245255455,-1995553652,1418266748,1352067846,-854514248,41048879,-1964405013,906267574,-1962749277,-1556739516,1149960918,-660392434,38046466,47489846,906249355,47261320,109981379,992346846,1912615454,-117002236,1053042371,-83689420,-454507528,653947647,1979661696,-351883260,-1977199642,-385928675,-1017446398,708756526,1564157440,638546436,637820203,-8176188,-101812737,-1202713109,-470417355,-2091321341,-1007155513,-1595352269,638153471,1962884480,-219462907,868418736,-1075293221,91446271,1122698416,1032005264,639726592,1979661699,-1959374056,637725214,1966038329,512439819,958792424,91500893,-840219813,-953747373,922746629,48897675,794659110,-400651466,1569269250,1354980145,-854516040,57826095,-373976343,-986270311,-2097142218,175439870,24446010,410305987,-1007029781,743455412,104347200,911736902,87703236,1128646438,963772416,1342540070,637557944,1476543881,1129152806,-953794560,151365,1229309734,-953810944,19269,743841360,-5838783,-1993996174,-1943648907,526272349,743490392,292706305,87830132,-969523850,16961798,451477936,-1962467659,244004602,837287950,72124852,-1279385834,1030402,-1070357261,-1259214422,235833654,384994048,45334279,-1308164554,1357048578,-854515784,41114159,-571752213,1912607976,911613604,87701189,4408567,1948212768,180615572,906393024,-33364832,516488896,116799062,1962870029,1460031521,973522742,906269957,87821964,401096964,1173825279,1598029891,242505735,233311723,-150441472,1073759044,1593377141,976667423,1912620806,1405352194,918894160,1370685500,-268180490,976652598,512505349,1532495164,-1957313544,267158508,1460012822,921796237,84346566,113653248,-402651896,225756248,922698890,906299554,84346566,1726524671,-399740161,1404765044,768273,-685331370,460589224,-1956710430,-932976417,521537375,-2131659123,125042751,976981,-117214371,-443874384,-1070415011,-5242133,49848886,-1573453904,-969538292,-16444154,1245612342,113718789,-64178,-1383266538,-164233082,-16446202,-85445260,-17045502,166210162,22908163,1912682216,-1960896836,-167425482,-16446458,904397684,-1004595710,-402310594,1541978833,-1160517391,918750128,87688903,599326719,1932512529,45606953,-402355376,-528028695,1978393832,1977629215,-1398450149,179967208,-401705792,-544478255,-386894422,521535707,-85218621,3965016,45089909,1431356409,1575158760,907834200,84739782,-25958145,218547766,2112356357,-1439715326,-122045208,-389865706,61931078,1444870258,568874758,1577541602,1912844319,911613673,87701189,1543757707,-2035446449,-1180768256,643608655,1962886456,1582279169,13887519,-1073081995,-74772364,-347084628,172948084,-1341950784,1424534108,380334592,1245612831,976667909,35317765,1149899893,-349443841,-2144990092,108265533,1049179719,521536846,88749707,116836659,1962870028,19851267,1053040406,-148503238,-2147466427,-473759372,-1178605557,-386905624,61913537,-353850173,990344682,-1441172483,860812267,1963210944,2105550362,91568895,-1968546640,-1007113532,-1342060312,-1342016509,-389809918,-93192110,775783206,-2128213900,1965960765,753422091,1912844288,-1878791195,384366851,-1395559168,1978308840,1945975733,-391337273,-93001075,-1968641202,1958742532,-360716095,1929067459,-1977200885,-361502715,-1007094923,-1007090768,504294531,1431766614,783608971,-1002788180,-823650187,-1408535297,1975794346,-3938217,-1070443915,108431786,1988839403,-371857402,1946580539,116799039,1979647245,31621136,353763382,1965915909,1959922180,108431663,-423747818,176065796,-973871017,-1202460577,38667081,1929399867,-990409973,770179710,200014008,15984889,58000048,1560523001,526255967,247759775,1236805864,-164183138,-16754170,-13211020,906312246,87832319,123688478,-706166733,-28609796,1128593344,-227270656,10152023,-346094732,1031808745,906523904,49809142,-1947240961,1595868919,906000872,184897185,50886848,918956999,-2147135837,57999420,-391488336,-998000720,29982724,-1892283157,906312710,87688847,-986265293,-1006290378,-1992931972,906306622,86378124,106307267,56672087,1610409960,1931435527,-1328289533,369320126,-1217468385,850444009,3965120,2088819316,-730514943,740297901,-1328712352,-1057045505,984891396,1827193771,-1494005321,-1974405259,183041860,637957353,2095580554,-1396483842,1979610856,-386406150,24045763,521546610,87441033,87557772,20808486,-1977218444,-266075579,125071420,653917928,-385940026,91410354,1290354356,-1336677968,-399023682,141752807,-402290138,41091376,-1992889365,906311230,87557772,-633929930,922695170,-628423972,-754667183,-661890581,-661732605,1041025,-636057290,512505346,521536220,110089983,110035676,-1066269990,-1494498933,-348592450,14870698,37532274,-969536906,16961798,-1528102480,175243580,52829047,321262933,-1047849139,1166616210,1435051541,-1360074729,-351906679,1173825221,1971322885,1426269706,1293100561,651946771,148983,653161856,620905867,1077739760,1023767552,-579534800,-854515272,-339840209,1912749225,113653258,-1342111023,-386864383,-2005794708,360038410,1300965114,1435182605,-1847002353,72124846,-351906679,-1231296354,223185190,257263910,-13189069,637572126,-1090165375,1300309759,-398458875,-605309307,870892427,102200057,-1826660777,1912610792,-891492339,653838056,478682506,-1645485845,-645181101,1543411432,-122558376,-974596117,-1023314952,-358533552,1161504258,-210479057,-1007090000,182982325,823703810,-397351886,-152521175,-1238636296,-1992944526,906314270,87441033,939953206,-120788987,-2031549581,1049179648,-1942616762,906315782,88350345,1109297974,495461893,1623192203,-1108848381,-986293254,1912944182,1048589834,1962870037,-352145403,861442115,419135945,-1475775183,604337280,268482943,148679,860145408,521535488,1507065681,87439045,80157554,1275658241,1151415813,520041989,-952762228,-16432634,-1370363393,313179,918894080,80086342,-83694593,113718873,-64190,1370374377,909158585,84412102,-12588794,1342398655,-386757807,1482291768,521548658,85278336,-970295809,369428486,192020780,113645172,-1342111023,-389682431,326289645,-1985141784,-1645542332,837337483,-352030007,-352079627,-225750556,-402431809,1918499316,1048590064,1979647253,-1256253938,14936070,1925545704,-1327961340,1373170435,520507934,-524290165,-104142845,1245118262,110048773,526255436,918188633,85278336,1373140479,-402431809,1918499244,-2145446164,-16444098,381011314,-402613016,-1116551516,-1185826837,1122578708,309759,-754667183,254038208,960245764,117703286,-497461078,-1957313557,183272428,-2571785,95946100,-1990661376,1451882062,-94466824,519986828,-1946514681,869922767,1336865472,-12219866,1961207016,-1436766205,385646217,417879327,2126798255,-389968900,-1031012449,855612136,1455794880,-162624520,-7935915,906851165,1006817953,1020556368,-103779323,1918756235,-1393956605,917303529,84739830,-1979550209,243807949,1019413768,1460434689,1945537512,112221968,917295337,47253190,-352210943,1488980723,-148497036,-2147482299,-1202714252,801968395,906357595,7872255,-538246541,648846057,345591,1342796928,-854521160,-387228881,1948188470,-1948128512,1392515614,8134399,-1023315365,1270043624,-1007029899,1364657694,-973069896,402847494,86257348,-1962933825,1451960015,-423892981,520576857,-613154500,-2144418823,176446,1612644291,102679296,268879447,113639429,-1005059337,-1090182098,-812974079,274107174,1608943848,20717319,-1007035532,6561535,244011459,1053032474,-1070398154,860195110,-4331439,-401968295,-354241832,1946138600,12802529,0,0,140509184,2687490,1800415490,378274158,0,0,0,0],8,[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,33554432,65793,201355266,33645312,15466501,-196496,24013616,-65536,33554689,65793,201355266,33645312,15466501,-196496,24013648,-65536,33554946,66051,1929510914,690529792,15466579,16253040,-1,625606656,1962936397,0,0,0,-1610547201,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,65535,4,1094795585,1094795585,1094795585,1094795585,4276545,1090519040,1094795585,1094795585,1094795585,1094795585,1094795585,1094795585,4276545,1094795520,1094795585,1094795585,1094795585,1094795585,0,1094795585,1094795585,1094795585,1094795585,1094795585,1094795585,1094795585,1094778880,1094795585,1094795585,1094795585,1094795585,65,1094795520,1094795585,1094795585,1094795585,1094795585,1094795585,1094795585,1090519105,1094795585,1094795585,1094795585,1094795585,16705,1094778880,1094795585,1094795585,1094795585,1094795585,1094795585,1094795585,-1234353855,-1234323859,-1,5440514,1800404993,-1234370194,1112359497,538988361,659377987,0,0,1610612736,134495,9728,1145913929,538989391,659377987,0,0,1610612736,462175,27760,1296912195,541347393,541937475,0,0,1610612736,1379679,23210,860768599,538981944,270540832,0,0,1655373824,2181226,0,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323968,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,-1234323859,138346496,66050,1800415490,-1234370194,-8,262147,393221,589823,655369,786443,917517,1048591,1179665,1310739,1507327,1572887,1703961,1835035,1966109,2097183,-1,2424831,2490641,2621479,2752553,2883627,3014701,3145775,3276849,3407923,3538997,3670071,3801145,3932219,4063293,4194367,4325441,4456515,4587589,4718663,4849737,5111883,0,5242959,5374033,5505107,5636181,5767255,5898329,6029403,6160477,6291551,6422625,6553699,6684773,6815847,6946921,7077995,7209069,7340143,7471217,7602291,7733365,7864439,7995513,8126587,8257661,8388735,8519809,8650883,8781957,8913031,9044105,9175179,9306253,9437327,9568401,9764863,9830549,9961623,10092697,65535,10354845,10485919,10616993,10748067,10879141,11010215,11141289,11272363,11403437,11534511,11665585,11796659,11927733,12058807,12189881,12320955,12452029,12583103,12714177,12845251,12976325,13107399,13238473,13369547,13500621,13631695,13762769,13893843,14024917,14155991,14287065,14418139,14549213,-65313,14811361,14942435,15073509,15204583,15335657,15466731,15597805,15794175,15859953,16056319,-65291,16253175,16384249,16580607,-65283,-1,6044225,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1852510272,-255,50331647,1547321856,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1798324224,-65170,-1,977469442,1313429340,3553331,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1346371584,553741931,-256,1140851455,23610,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,196607,6044229,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-256,50331647,0,0,0,-1073177523,0,0,0,-1610604339,-17786368,42528797,20711580,79956124,144443548,65793,-254,-1,-1,-1,1208877056,1350521,144441368,-1,0,0,0,0,0,13312461,0,0,134217731,973406212,1100954271,0,0,-1622474720,-1622474735,0,0,223358722,0,0,0,0,0,0,0,0,-1622474720,-1622474735,-1622474688,0,144375808,136708096,22,0,0,0,0,196608,0,0,0,0,0,0,0,0,0,0,0,-1173639703,87886272,-1172605952,37554597,-1173130240,138217835,-1173654528,188549463,-1174178816,521013576,-351963672,1914817804,-850545454,-928829919,21817610,688322094,208929035,688322094,57934347,-821022487,688322094,292815883,1912732800,217874674,-997986953,46856454,243281408,-83621079,-811524338,1975520010,229920774,-145219123,-16091386,186742015,-400722496,333971982,-1911393533,-1274382586,-954086071,685830,-902901760,35252234,-393494477,-1576348510,484969173,-821675776,-955878390,-16068858,690389247,104397579,58002119,-117375255,-1070378805,705070638,1958742539,785395205,-1017640246,235524282,78964767,181288576,-2096073728,708414,-340129419,77654025,-1157698565,-1746400752,-834764796,443875338,772435105,-1593829725,-1557263762,1889599498,212020746,1275115520,521019853,181339847,109969408,1236536293,512434637,1353976426,-928964147,-952205302,41222154,113688627,-16708921,772433454,174458511,1745260334,118380554,-1191149377,-1510801344,567103924,1780386094,-1940868086,773967307,181339847,-970063743,17483526,-952205266,1031012362,-1258291269,-400437944,537198602,1943550720,-12523253,-1320650312,-1008151804,567101620,-970002574,706310,199598894,-1993418749,-401947874,-668205090,-1088517842,-1899459574,120437968,-1880565618,-1192414464,109576191,-12776751,-1274776321,-2094936786,-16068802,350815093,24373503,180688443,113645172,-402584970,1659371798,-988398847,-402295798,-219479727,-852033352,-417953759,804945931,1555105397,199757448,175507142,199343616,-1908563521,-66404602,722203577,-1583025202,44239555,-1120993536,124938,-1957474101,1141422296,74654157,99336203,-150994651,-1017619504,-889191960,855710440,-888239141,404130570,1959410176,-851528696,403605537,-298171648,1051986036,780673485,-1014824935,1030404,567099060,-1007033789,-1269804258,-1910387375,874431963,772246272,772437155,-1979704672,1476889056,-389865637,216596511,1347624703,567103924,-1911917407,874431963,1476888832,-1161617573,183044307,180527358,1979673320,-738557454,-402426616,-340131150,44886024,179902091,180041355,604062918,-972907032,-1174404796,-1813509891,124930,201832643,12067277,-1021194996,175749701,-851640136,1024488225,108331012,-385249606,-1461125707,-1947866113,323009240,12110131,1914817858,1198176528,-1088516578,16824842,567099316,-1269785569,1478610238,990147229,-1162316607,1961363667,514976767,180297358,-1191116610,-771999231,-1378733079,-763113469,536404480,42515139,-1994054984,-1946154474,-855634914,20757025,567132414,-33241926,-1021194816,-402052422,-126746122,-854851144,619803169,-200918433,-1023314677,200476218,-1007033739,1460018939,-577875887,772031627,146089608,-1816197362,571656,-217397629,1599690916,251573736,-1326951905,1090804225,-167213150,175407300,146081526,-385649280,1757282699,29685256,1891500916,-130119416,1448418827,-1269608110,1528941913,1566464601,1631488287,1661373450,-1947979254,334463992,213844851,1694942720,-8191990,-2096794608,91558399,174393030,1916700929,301957898,-125092490,-855310152,1979661359,-1261991131,1915735301,174432797,-1960901090,-17961,-1359822798,620709318,-973003288,520159045,113645803,-1962931611,-1995704258,-787844546,817728487,-386234617,1048576262,1946159717,16377861,2025467627,16050184,-269953397,-1257835008,158629896,-1274508358,-350106359,142653971,-2147427864,685630,-253229452,-35132931,175259267,1360819471,918882078,-1084814751,196675674,-1527514112,1495205471,-1274525766,-1172189943,-1545074530,-754518528,74776330,2078999476,-854851144,9300001,11804684,200738362,-989959820,200607290,-989961868,200672826,116828789,1946225449,-834764774,141819914,-401984838,-18153374],9,[-1559597919,-4718570,-1977496244,-401921514,-771032193,1048776052,1946159823,-821639418,-2080375030,684606,1048774516,1963068018,-720976366,1048772618,1946159823,-821639418,-1962934518,-388527164,520617271,146193103,-1174401560,132647040,-352145408,143178474,-133581744,-1017634355,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-352321536,16777747,452985344,1276373819,1275068672,1094392576,1631263506,2040232210,2033399195,-1677585765,-352321528,-351016173,339148819,788529152,2033909844,-1677721445,420046856,1174969347,2,123864916,125110123,126289794,127666071,129632169,131008451,132777946,134940668,137299999,1953067607,1919950949,1667593327,1631724660,1853169764,1311011945,1914729583,2036621669,1684095524,1836016416,1684955501,1631855648,1109680500,1663067233,543976545,1836216166,1394898017,611018085,762212174,542330692,1802725732,1667584804,544370548,544501614,1853189990,1867392100,1885433888,1462006373,1702127986,1969317408,1378120812,543449445,1819631974,1699161204,1634887022,1631985772,1920298089,1750279269,1852404321,1767252071,1952541807,611217257,1801678668,1869174304,1769234796,1227124335,1818326638,1142973545,543912809,1851877443,1176790375,1965048387,1635148142,1650551913,1394894188,1769103720,1646290798,1701209717,2019893362,1684366691,1344562277,1935762796,1850286181,1953654131,1936286752,8299,0,0,604638464,1684104562,610758249,1953067639,610758249,1920099616,606106223,1769104416,1092642166,539232781,1769366884,2123107,0,218103808,1648436234,745828975,1952797216,539785586,1869506377,541025650,168624164,1701603654,1819042080,1952539503,544108393,1818386804,1633820773,220474468,1986939146,1684630625,1297040160,1145979213,1297040174,1227098637,1919251310,1768169588,1998613363,543716457,1852383268,1769104416,1126196598,1851853325,1953701988,1701538162,2037276960,2036689696,1701345056,1701978222,226059361,168633354,1836213588,1952542313,1633820773,543712116,543321962,1311725864,606093097,1128618053,1767990816,1701999980,1159989773,1919906418,544106784,541415493,1701603686,1344539149,1919381362,1948282209,1646292847,1948280681,1768300655,1852383348,1835363616,226062959,168633354,1713401678,543516018,1701603686,1851877408,1936026724,1684095524,1836008224,1684955501,544370464,1701603686,1835101728,604638565,1701012289,1679848307,1701408357,604638564,1699547661,2037542765,1819042080,1952539503,544108393,1869771365,220471410,1851867914,544501614,1684107116,1297040160,1145979213,2037588012,1835365491,1818322976,610559348,1631783437,1953459822,1635021600,1126200434,1095585103,539771982,1953069157,224882281,168633354,544239444,1702258028,1919950956,1936024431,1650532467,1702130287,1663052900,1869508193,1868767348,1852404846,539911541,36,0,0,42469532,2204,0,1547322112,1296912195,776228417,5066563,0,0,0,0,0,0,0,0,0,0,0,0,-2029356288,2030119946,197019,5563552,16842752,65537,16776960,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3095135,1600085855,778002271,6250335,3095135,1600085855,778002271,6250335,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,738197504,1561017355,-1677688823,-1677698040,-1677693944,-1677499384,789145608,-1677644452,-1677506296,1493172232,1767993934,0,0,168336461,0,0,0,1213481296,1329791037,1162892109,977485123,1297040220,1145979213,1297040174,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1744266150,-2044605034,51002848,171771250,0,-256,-1,-1,-1,-1,1547322367,1330926913,1128618053,1413562926,78711808,-913512237,-1811939238,172438,199958156,200220300,199433868,-955595869,1041447942,973522688,-1174402541,78727289,-1037309229,-1593131101,-1073020884,117311092,199955237,-1324609352,-1930898684,-1547566118,-1064432685,-852033352,-417953759,857094667,-1609468653,-22932684,624853010,74776595,959014,567089588,-1029521154,6070282,645185546,-1029555532,-46136310,321207936,504591616,-1614864634,10337792,-218066759,-1557782620,-1543766002,-253226228,8437494,852003500,-957283347,-2118251260,1229513472,889600684,1022784531,988967945,1946937094,10283267,-1404489245,1715216396,113641333,-335607085,906377944,-31492845,-955593210,-2012582394,1881050114,473858058,-1116340461,320603846,-373888256,104464720,125113143,320603846,984017665,1964193798,-818509551,-838416886,113639434,-385805540,1698431276,-1981576331,977054793,-617379979,451134347,808234057,154931826,-745861513,-489561391,-472786429,-420751357,507068750,175575866,322707001,512296050,1357452090,15395327,-695516850,1236031057,322242106,154929524,48432500,-968429333,-1207894204,567098626,-661961102,-851181384,-2134706655,1051985781,887824845,-2131348848,28836810,-1960719036,1364941779,855638969,-851528485,-102612191,1169480331,1169433037,1169433037,1051992525,-480697907,-18486943,321193670,202422272,-388823887,-1039934836,-1911827549,322281664,1593787528,641633113,977906707,1947415814,1946762249,48474629,1364652011,318684702,637537977,-385923702,41222660,-1527559866,321263243,12066566,522308925,-661975694,567099060,585326169,-1157725463,-1394077046,4275487,-1011219595,28174354,-1961689410,-1189927362,-1527578610,1048632043,1946159822,1353975342,-1014047860,180298189,42514432,-1411871573,-1425982280,-1196697460,-1934949180,512535512,1471807510,623818754,-1593368115,1822621718,371100682,1614080,-1945449565,-1945381090,-1945380066,-1089741026,915081849,1048580902,-1946152155,-1910569256,236745920,321437215,1793611526,116886273,1929862943,641108746,281444627,639569420,179912329,-1190755546,-1431567862,-92946422,-1153529562,251602442,-1977218373,-2146778586,-2010758972,235472678,201964319,-338492239,567102132,321207936,-1961003776,-1273808354,-1910387384,906744606,-1911827549,-1946799168,10533374,521053427,180422342,1086195201,48915,180291214,55077561,-117223695,-1527513777,786958332,-988378636,473858058,57933843,-1157594647,1219756035,1752310221,-972392541,51038726,-13385586,866779312,-1196708928,179961855,-2136214784,1248318,431229813,100803021,211948345,319602195,-218101575,319601317,-851640136,-1962380767,-851528488,-398529759,1094524471,-1173981952,954733269,1996918272,-850807798,1996932897,-973078518,17484294,-1558367048,-1079962851,320840458,320675583,181354115,-1173981952,149426783,688309760,-1477902325,-1079947023,-1052868598,292815114,-1194619821,-388951232,-388896559,-1023153967,321102683,320937727,-1974287528,940782358,1946937110,1958885892,872823300,-389850605,779223045,-57654805,-1912592152,856412934,1465274879,3991724,1161438791,-503155201,1499357171,-397341580,643366946,1962950016,516159968,1476299527,-352318232,199776004,-114599680,-1597769337,48960304,12173362,-1011944959,321979962,104466546,41358130,-2084364244,-1957296444,21284850,-815919872,0,168626701,543516756,1347243843,1344295233,1869836901,543973742,1886220099,1919251573,760433952,223563588,1919243786,1852795251,825111328,538976304,538976288,538976288,220209184,671747338,1126181187,1920561263,1952999273,1297040160,542196048,1886220099,1919251573,1919894304,824192624,741488697,942420792,892873780,220209184,692267018,1886339872,1734963833,1293972584,1869767529,1952870259,1919894304,824192624,741423161,942420536,876096563,540358700,168632352,1819033856,1734963744,544437352,1702061426,1684371058,538976288,538976288,-1879039968,1701860113,1768319331,1126196325,1095585103,1931494478,1668440421,1768169576,1952671090,544830063,224682338,308346890,1667592275,1701406313,1329799268,1312902477,1702043716,1751347809,1919509536,1869898597,1646295410,1629512801,1936024419,1701060723,1684367726,-1946154483,1667449106,544437093,1768842596,168649829,1225966848,1919902574,1952671090,1397703712,1919252000,1852795251,790891021,794182980,5132099,0,1130102784,1095585103,1127105614,19791,1096563267,1162826837,776160600,5521730,2031956992,2033272219,917659,1397575491,1027818832,796549437,1685069916,672099,62,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,567086772,-1558278610,-18371,181470855,1962934077,-852577276,520039969,-315408991,181354115,235238911,308013343,-87520004,649908366,-1064371384,-1558278602,113653309,914373503,1006765766,1961692032,113718793,218184576,1048582123,1946159821,113647120,234883789,1015396895,567098292,725516319,175374347,187317888,-402426624,113646175,-1946154297,1356369608,-1203231046,567097344,-1526322344,280711997,1541666560,57987595,1040187320,58065408,-1543634907,512638402,116800931,1946225354,436267023,116787826,1979648810,349693955,567089588,1035313718,187303670,-385649409,116791973,1946225354,433645576,1726481266,-720964081,57999114,906499561,1028523718,-653867520,113639434,-973075752,709638,175572727,108331007,-352153624,1048809550,1946159823,-16867,181352071,859571391,1101704393,-109769412,-2011230647,-348388594,163090474,-1205744291,28466440,521019853,-1271169094,-1977496310,842759950,63013869,-1086619714,-1527563262,-401326872,108271312,-384189207,-806878982,235631389,875280927,-382806552,116850310,1963081945,-1757510674,-546045885,1088175747,-1093110784,465517572,687978558,512434637,2139111639,477444609,-494921846,-854185249,1962884154,-633435380,4030528,1072236149,357231102,-1046346358,-1189040067,-230227959,705212590,1041998529,1442873791,-398719810,-391375926,175379406,108268860,1034356282,860811381,1017818313,1341841421,-772345973],10,[8392328,-566326434,-1203861184,-499741891,1979059008,-1074427134,28835932,-1574843095,1049312694,1049182441,915094970,-167034643,-175439243,-1207931713,567093505,-1958889566,-1992231874,-1958888386,-146743746,-1723980841,-1103197885,1041997885,1036064394,91607562,-1293301506,356116756,1034100366,181354115,-385649409,-1360396718,1465255677,-1202499503,-1064374272,-29458394,141884927,1498962936,-1022927265,-1900019528,654259136,-1437254271,-2147153292,-268419840,-521409166,39684646,-472776910,-1014766639,-2132573825,442367,1192069670,-921965262,-1023212427,-225716245,1957098310,-2080832761,-454360121,1950301312,540835845,-1943081099,775919622,1066811017,-1147474951,1219821567,1219764685,1347625421,505750200,-1558278610,20036157,-628350515,1512030862,567104948,-2135238002,-853888000,-744413663,2925323,64654427,35031507,1255836672,-1992107378,-1912602346,16482778,855798288,-754667045,-1898279709,870550482,-789098304,-1741226194,922693183,-1030865002,89123019,-2117926542,1949601274,520039955,393493933,-402131992,-727573586,869186058,235028456,751953951,519862761,-1075306738,256044,-1194661089,567086088,-854851400,-1125596383,1006944255,512678028,922684023,922681345,-661782525,1006906344,1952078138,1996945191,1962934026,512630318,378079863,243859457,-1205927933,567099904,1174849326,872415048,-1877939255,-402597400,116851202,-62857,-389827979,-2126446090,1929412857,1948597292,222079538,-276697739,-947176443,1006871078,-402531864,116786314,234949322,-1160547297,-722977788,292808721,1947024579,9496579,-388764758,624689590,222087028,808239988,154941042,-1952959881,115593688,175572622,91720486,-97529,-1910597260,1225422622,1947024556,-108969713,57868416,854715306,-1242882112,-8656609,482301726,-1439693762,-1442747928,326438204,-12204506,1042071040,-400617889,525271373,1023370985,-1327401691,1166550589,1042071295,-397336818,106499866,-1962471905,74604535,1325476072,-13375201,175572727,24510463,18933955,-260764356,109971139,1236549029,-1022942771,-1258291269,-1272853176,639749448,-1559501405,-661963355,-1020540788,1096531,190571511,-1207733038,4063231,620983810,-1029440000,-1008155843,-1559851500,105834557,-400946712,-1608056909,19139274,9889872,-398668866,-645196459,12108673,-754667183,-850873109,2007180833,-6756342,-1910110630,638220038,1734,650130176,637534627,1207960483,-1962932801,702943,-896816141,79602931,702780,1007695336,-484609011,1065952774,-1409105021,1947217384,222079495,-202700172,-475394640,-588559905,-1918189518,78712669,1253370835,101130701,-817986785,108396298,181339847,-799473680,134924838,-385168890,105970242,-1559851474,2007049789,1958742794,-1064434157,567101876,650130183,638220195,181022416,1354979335,-1073042772,-1017578891,-149008045,-16091386,106329343,175572622,17204006,-2094661376,790,-1899459577,1176407000,-294072,1220156789,-15824056,-1021408454,-851463104,-473396447,1745783072,-1982123192,-1974974946,1128810631,1214783035,-4521102,1176406527,1964653640,-1558278631,-9508803,-1342026264,-817986803,108392458,181339847,1495269375,-1168587941,-1075234711,-1274624495,113705021,18211,-402619970,222039850,-292821644,-1254509377,-1963619584,937641741,276103915,629810860,1959017031,550273029,-287128518,-1946614881,-1639495907,1017961333,-390826995,-780857606,-15798808,-1273563421,587661117,1454697287,1017956659,-392727539,57937630,1022618433,1007121469,-1400409075,1017968107,-400526019,222039742,-211871372,1310160038,1947024512,222080184,-1343704204,-1326025458,-381948929,-391315620,-361427294,787202098,244902060,-1699022219,436254782,45818317,589169408,1087879239,-1961281560,440599,-850526024,839217697,-1878791232,116850608,1962884532,181466626,-385649472,1407776942,-2117170418,671121897,-1979678706,-2013233138,-1086586098,-201573372,-1441943388,-1558278626,-737753539,-383779062,2078931425,839563263,222080219,602469492,739013646,-154958288,-2034040089,518712259,1034100366,180889226,985674271,-23628829,-1902908472,-1589796066,-1073018249,-1899822731,-1076326720,1972174853,637186,1032037875,-1947503361,-16398539,222080255,1015085941,-1982106624,116900661,-62857,-1570188,230746365,-1007095692,512672761,116866467,-62857,-768347276,1998491166,18254090,51808512,1223171840,6143995,-1342174279,1974399520,-377274111,786036491,1050283657,1929360360,1949973532,-38475741,158665276,1929356264,1949973516,1996945171,1979711242,5302504,1488592654,265611576,1929349096,6143984,-1710322898,1359342398,1509786088,975577100,-352160507,639642631,-915077830,-387390905,-2094072470,138320446,540804221,222082935,1474824052,1963801853,-45029127,-1023409688,-1021408466,100369216,1051985010,516104653,175578766,-1207952966,567098624,378215538,243990529,773783555,-1958689885,1107343576,-953278003,-12040698,-628374529,-399241542,126489007,-115392468,41609411,-1558278610,-817987267,1979645962,-821639418,-369098998,-437520642,-1911892319,-1161785640,12060107,-2094936806,345406,117376116,512427335,507184455,-629209783,-402653000,1334515512,-166229245,1963196999,775392022,943379104,192282436,943370305,57999684,721600899,1161724874,410255365,33703926,1334511221,-1876825339,-1194773679,567102976,-1878594727,-850460488,-18399,12059506,88449792,-1888108533,1270822795,-2086341883,345406,-373421195,3964933,1973683060,-1430244616,-772290253,79682355,1142852156,1261865477,-1207497210,-1377304576,158829334,1174702662,343221564,276116536,1270765126,178957317,1341841600,-437559743,222054826,-772350091,51284014,512634428,116800931,234949322,639202335,16729542,1065092807,-1346749436,642902067,-12204506,-145692403,-386445079,938017108,-61871871,1034094222,-717324250,-344653814,856732392,17492178,624748402,-393485451,1975519916,16443612,-551168142,-704234529,-1395755718,376750090,986842682,126075765,155681538,91194114,-12285182,-773323285,984510976,1966789126,16548008,641340020,58014419,-102679,89128711,-1877808314,1912647656,-737789044,-385452742,-756416937,63605755,-293403273,986947587,125043768,1912639464,-1947407383,313082,986973755,-397999756,-697171844,1004527397,1966790662,-1073042227,1776863349,1354985984,1465012563,-118991530,9103609,-402585413,647764070,-401942877,1570634226,1499094878,1014126683,922691078,1225198294,243869263,-1993996985,637880638,88348296,1158072102,-1946157307,646457029,637994571,181733118,-817986778,125173514,-821639386,-1006698486,-382166086,994184438,2101581590,-1193637107,568869079,-1388868843,-1007041544,-1558278626,948156989,181354113,108396288,181339847,-383778817,105909446,-1559851474,-694081987,1958742794,-1064434168,567101876,113714695,2774,-720976346,1476853770,1087879363,872415162,1005990857,1933809422,-388396225,1997214916,-54069497,-167217793,1946223175,-1171854584,1944663571,1976109836,92242709,-2095680509,1199768327,1199768329,1870856963,-92077307,-1948486145,-1142210093,1035482761,-2084556206,276103162,1066130059,973176192,92931701,1613504524,-402629470,1068499968,-1191158337,-1426915317,-1556236127,113721068,15800,1056179910,-1342068713,-1342016511,1036558853,-952252510,4049158,1050327552,567089844,6035082,1527331560,1962933123,-1273525483,1914817870,-1358498289,141836350,1035470535,2079064062,1001658251,1936925133,990082955,843674838,-1274247479,-2044605125,-1975684340,-1024917692,-1978370807,-1159135676,-2044824567,1001717580,1283858893,-1256098817,-9684422,260770677,-835989881,1946352003,929544719,67258358,1757021045,192735540,774782081,2088766581,108331010,1035470591,1556025835,688830464,1015030221,-16485376,1396553742,-1174126872,378093210,-256229485,593618999,-294053,1048778612,1946172856,-402031600,1740244948,187754807,-351810584,1426507433,113704704,-1274019749,5618193,-397401651,-27785292,-385649216,117375186,-1564590647,17623102,1055655670,-385649663,116785288,1947221677,921287176,-350021912,-1105818858,2014742846,-1072264385,2048297278,866564671,-1591542040,-1073004870,-876651404,548950077,-1957123296,2041304,-1014247286,-388823631,-259387612,-372191350,-1048318670,1694072912,-377486478,248768612,1052249739,548935907,-372135136,-372119087,-372184624,1211571850,-394212480,-1070395308,1036761770,1065096841,-399265862,251536027,544554439,-1573009248,-756531769,-200344057,-166234818,37678086,113643636,-401129740,116064377,-399264326,313795183,-855616070,-14161631,1036584695,58064895,-1593921559,104480200,57949639,-1173908248,915092863,914963913,1088962437,-1976126430,-855614442,-49887,-138215051,-1545340959,378093447,-1782956151,572647733,-1187132481,-1527578616,-1180032848,-1527578621,1386922035,-1992438854,-1170244586,15217583,-1161602526,-118999555,-181147615,-1022936856,-1103536454,179044480,-399674176,222037814,1448224372,-1405851462,1946628584,1963801604,2132819190,1448762899,1929887208,-1707180018,125042751,929544798,-1173778967,-1336331160,1560688672,-2081328128,-247790655,984614773,1962820664,351529443,-398893382,222037734,-2081892748,960346631,158584436,1067073152,-352160768,-264860737,113829950,1589251388,-1337363399,907262522,1946240056,7126847,-852950600,941666337,1946184966,1471851567,120842293,397682292,-855614278,1979661345,1438316810,192276532,1358934098,1476765672,24428798,535321283,-254744287,-1022821911,-402619970,222037614,1589249653,149481785,-167116824,37723654,1471809140,148433205,-851640136,-1173195999,37565544,-1160940544,-386320067,-1075246297,621200904,-661979065,1034231438,-2144415181,4662590,-1959877003,-1271021042,-1960719041,514122696,1358902023,-1359865168,4034904,-2147060480,1964703613,1237854986,-164755698,1397171478,-1275067973,1528941888,-1053095310,994688116,-1023314495,-1207959109,567100416,1971372790,105769458,-402619970,646579662,113639516,1006633052,-2011728883,-1409262554,1966750892,95741959,108268860,-382355014,-1696069586,-1090052603,-5242795,-1413467222,145795755,196691882,-213929984,1050327722,567089844,-1275046470,-383660783,1860703427,256005,-1274713879,1344392496,-1952193486,-528066497,-1918639054,924367423,505416425,-402252018,108135283,4030502,1927809653,-398544896,988479578,1191545382,846512138,986777146,1206388084,653126400,-1152973430,-1073071735,-1014817676,63891459,125044538,1962950528,114420721,-16314793,123666775,520603371,965065411,-1340100887,-1341002947,-1609700581,149633744,-348467296,986619907,1460084230,1066385234,924957354,1512016616,-1262287009,35769625,-398799610,851705826,1050328786,-1247740277,-1270807491,-1465865414,-142104003,1065107081,567101364,1932767162,903657987,-1021357336,-1174401304,378093210,-1346748548,524412979,1544981187,79858176,1967144000,-1257897466,1354825277,-1270964802,1931595079,-383840763,-1698757164,1490520894,-1599391052,-1012253272,-402490904,712247408,-402501656,-1058536734,140699650,376716092,1947024556,49473553,91503420,1946437096,49997829,-1070339349,82363307,69199872,1031808707,-1173719808,118372348,-924246258,-2095118818,-141883921,-2130528280,1946222585,-1090056474,12205814,-2016335103,-1163594799,521024403,-1155620119,12058625,-165556924,1282703554,1947255542,891926599,-1031003699,-852156232,1002474529,-1271564336,1007734031,1007252995,-1274711033,-1022309120,-617411660,263459021,-729149235,431409918,-930365389],11,[-1274609477,856739078,-1275021358,-1022309118,-1405515842,-315438966,-1968437580,-501101104,636011513,-2142351865,58014268,-1207958330,567098626,-661974926,-851181384,-2134706655,1051987317,1153049037,504227896,848308715,63602934,-851181128,62477089,-1260702976,1126288702,-1269040670,-1272853179,-1272853179,-1272853179,-1910387394,507355934,-1560274783,-843576629,-1899278334,641573638,638217377,637540003,638217889,637536931,638218401,100666531,1034225294,567101876,642561031,-854931296,15722529,1442938344,1577151464,-389873291,1642594643,1340823041,-402608151,-126615208,-1403593933,259263804,-143311556,1015071742,-17795827,1592585159,108317694,-382178886,-397212358,-27590480,-389843761,-544538314,1442910952,180281223,309560,91596787,1087768262,1593543425,222080086,1239942516,1593240321,1087782528,-392989696,109970042,2042576291,-1260418294,-2145268455,1966735740,-402355702,1093402896,637716355,179912329,-1574518530,1074006722,151495206,-391316597,125043278,57937212,854846378,113683136,1325416662,-1153529562,512672522,512638371,-164426797,1946172544,1056358304,-1073042772,-1816462731,520494643,521972456,-21043477,-1107039433,508966915,1912612328,-386430192,-142147428,721482472,-216070450,-1017241692,-348651842,939769347,1912604136,-1870926862,3008764,1034094222,-754545114,1375679243,-391358634,642187376,1979663674,1609818626,-881567394,5695569,1031808601,-102730496,-1962467645,1105745918,1459940096,1493188584,-108529365,222068931,-391316876,1239941176,1966947328,-2134981648,-1073042432,2011756404,-1022542847,1034094222,-754545114,654258955,1946172800,452846,1035007467,-1070464277,-234815303,104514478,141703903,987760186,539755127,941555502,1397867336,-1962919192,48989145,678624059,-397192880,-2091126701,78709443,-1270617133,-1675506358,-1559851514,-263657411,1482267911,-960887181,59566388,96937642,1499136000,-1940912445,-1064417088,237862,-523041615,123259019,512630467,1048591779,520096461,-2051345804,-851725252,-390057439,-1581054471,101399992,330972606,-1103923914,-1075314559,1947024384,1017923087,1443919162,1577103848,125111612,-386136600,-389873511,116786240,1963081630,-851725306,-1158712543,870856551,317244187,-1274252800,1931595065,931576564,-402299160,-1094509794,1944584321,1947024384,-1395225826,1946186216,1963801609,-12269834,1153876736,-397016833,1012793430,-1158515699,-1070384802,-823606279,1963881215,-851790842,-1158515935,552089535,450422789,1015398339,1074053770,108347452,1035273730,-1968520962,-1338136538,520530746,1203042187,-596500019,1388519182,507084730,-1326964978,-1017503974,321708,-1018234252,-76275652,-143377092,-210490308,-277595332,-344716996,-1178400196,1017905160,-1442745312,1017968866,-1978436576,988127456,-1429961046,1017905841,-1442614240,-1070401310,1973863338,-8617732,-336169984,229658869,-91531439,117440441,-1359870178,16729542,2081851655,867154495,-971358488,1913519941,1482252036,-1910567229,-1170365690,-2144979799,731710,-270006668,952351240,1342304745,641216436,74726823,41168700,-1017619396,6035082,-385932568,116785904,1963081630,-851725290,-401575391,1068500071,-1191158337,-1426915317,-1950105550,1312747574,-385923958,611647421,745861691,-1293417334,1308849407,-1605307669,1144535781,208951297,1023362186,-401509318,41287577,80135161,-851725312,-1021873375,-2031614838,-143263233,1552341810,-851725311,-1997770207,82313564,914966020,1556037532,688044032,-1815928371,-388287549,104529610,-210420313,-2147431551,-21174202,-411824836,-43849658,-1187317057,-225443835,-1207339602,-523042815,-739518453,-1178938901,18671925,167807721,-1074170688,-919389744,-1975640898,-320649459,1041960506,243861109,-1494008080,-1963392097,1035182597,1193118535,-596271545,-167603736,20820742,-1231025292,-1224340931,1962884157,1006943925,66997736,-1086394314,-919404415,222079660,-348060812,-2146531081,-1291389440,192217661,1962937832,907262470,-16733719,-394729005,8503127,-1409253186,-315438966,1010673568,1605300736,-1274624317,378142781,378027457,113655323,1375747989,-398582854,1935338175,-1794703865,-1878922433,-969094209,1048576005,1946173333,-1877546237,185117160,1024160960,58458116,-376436757,1139535148,32303248,1034225294,567101876,1034094222,-955843034,113649162,-1090516275,-141885348,-218082631,1019984549,-1207184453,116804352,1962885013,-355211005,-779173492,-16306756,238922030,875280927,-384295448,-919345202,1034094222,-1959000898,574401790,-973208459,222099435,-141823115,1965178028,1959656976,1191544844,1017954814,-17402590,-804898099,943224122,-1408862972,-670630362,-46864374,225774908,638387654,181995207,-1729560567,-641771776,115313418,1947024556,-48437144,104489844,1567899047,988670890,1966788358,-388068577,222100734,96865141,1309067021,-352319171,1321162596,115313469,-924121330,-58662774,973501564,1966788134,1048585791,1962937130,651175429,-31061302,-401921530,222100674,2084309620,104466036,477444814,15277830,-1327462910,-2082526406,125108219,-12240858,844038517,1594337984,-2142820984,91491836,803848702,1048585983,1946159914,189710100,1279166758,1006943755,-1392740888,1963801770,51284218,1048585788,234883882,-2134981881,-466441216,-1992364381,-968953802,4169222,1067058886,-264860928,-301036738,-472478914,-396996291,-224133781,-567583938,-1949629607,1227613142,-54794068,117310581,1060913050,243271029,973225886,1966791174,-1643216891,333972031,973501692,1966974726,-1070444844,1011221638,-2013104883,-264861436,-301037250,-2134981826,-1073042432,65599348,-1022542848,-68884308,993789045,-1018235275,1397772830,512634449,1048591779,1962937130,-737741299,108396298,-402650648,1532559436,-1021355432,1312718894,-143392707,-1172369890,12074318,-841446595,192028449,-5187445,-1575467130,247660568,7464991,1946173757,1040154632,-558233996,-33756876,1026844858,-176947198,-382436422,1048641006,1946159833,-666992579,527695882,-1207248454,-850379519,225598241,-919350733,45668491,-350106302,343317,-1162840839,-919401767,-850379596,-1552786655,-5187445,-1575467130,1354956825,-1392719565,1975519809,1492200442,-1661111357,1465274707,1344144981,-849759150,-1168418527,1094530189,-1962642432,533826499,1583308039,-1013097639,512634398,1048788387,1946159823,-817987322,535822090,503427267,1034100366,520801698,777133763,1034100366,-1274336070,-1172189887,1102318396,-396746291,113640498,520096555,946453187,251648744,-47650529,-7739236,-1011199408,-3545032,937959182,-1655154155,1962950973,-49485565,-1897603607,-29514978,-1274336506,773967129,986514946,-1156891486,126356268,646505522,646449967,-745862337,1521797427,-1267588659,1052039307,1018831309,-849693685,-1952091615,-851528488,-24057823,189544075,181354115,-955877889,708358,-2144277520,-32847322,189544075,1954299052,104476170,57948878,-1962898967,-1207185642,567098624,1676215155,-1327985665,407340799,-1090512734,-919389180,1963801728,-12457725,986619950,-176946120,1954299008,1017818352,1094677517,125074492,-838452690,653161786,234833350,243805769,-1991361533,-1962193866,1359728918,12110131,1495387452,-661936526,1200029616,1679896,198121095,198252169,-2010247701,1312555790,189544073,251537384,-447813345,-2114012440,708414,-955877904,-16068858,-472847873,-1558279122,-1944189379,-1899983160,1210497752,-851967816,-2130262239,-973075200,-2143550970,1006831303,1827147009,23914496,-1949628641,-1950118951,-161172790,-1832614158,648089783,1958742856,578045973,971505847,2877440,-402644248,669515813,417907456,1828864,-402645528,501743637,334021376,780288,-352320792,-389707026,-1597832617,-1012250575,1290322314,-963984638,57982986,-1979563288,37611714,8502979,1022942696,-352095219,1287295049,327018550,-1173860376,1961375328,939571219,-855614278,-1376613599,1211527098,2126121080,-1174178762,1491613325,-1173703661,45693954,34400256,-919395891,-402520600,79624329,222068796,648129140,1958742856,1081362474,1912625896,9037866,1122510194,-400526848,460456063,1912619240,222080111,733244021,-1073077811,-389848459,1550975013,1912627944,2353239,1491620466,-397577728,-672464865,1912607976,4843587,48774770,-387585280,-764280469,-389811062,-729153181,22931651,1824127602,2746375,1956466332,222068756,-1286402188,-154891676,-930391069,1912684264,-1262187813,-1010302208,-399099462,652808867,792505599,104526196,-344704283,987432506,-1007032972,-402619970,222099418,985365620,15657006,-1275032599,1461833004,-1090056698,28523979,855643112,-876959040,2081851709,867154495,118643432,-980761761,1971307510,1013036818,-1224314356,738358384,1975519756,1393340418,-454553417,2746368,-588725878,-162309376,326467779,417857719,-389641728,799015115,-1031099832,1526776552,1971307510,-1429763400,1211343043,-1296383062,302114870,872383720,919059145,-1961756952,-398792418,-445382589,-896845966,1017958963,975598605,973370563,-400132665,561119331,1017967754,974287885,1967664902,5367828,-729149582,1963801772,-852642808,1958742561,916437676,-351162648,-1173703506,45693954,6350848,-919395891,-402630168,79623901,222068796,417892212,-1971162624,-1019564812,-952497804,-129104524,-389873486,-729153533,1108163,-527762830,1912605160,-1979001596,-1023341344,808191114,171768178,1190425333,-2046110525,808455620,41234492,12044074,-1012218965,1034100366,187246208,688785661,-1021374965,-1909567458,842900254,705070784,1958742539,-902901756,-1021356022,1381061456,-962832809,4162566,1184696007,-1070333953,-1090173767,-1426898729,1176176327,113722267,17305,1133971143,79560704,512630332,1048591779,520096469,-1681977227,-1964166587,-29621490,-1096485951,499074459,-1994345658,860266294,-720976147,199753792,251914486,-318043789,468193652,-972231936,37716998,1929384424,-1660621862,-1660752904,1516199673,-1017619623,1465012563,1726520406,-1757510912,1333608515,512489354,117392279,-675789929,8579136,477127,89098496,-1962772600,-1991894218,-986315977,-1980290240,915080055,2005485215,-1946711287,54926142,-1694531079,722828612,-1527513863,-1985347408,-1656349890,-1207243784,65732609,-1660943688,1516199673,1354980185,-1671999149,1946273782,-1656847588,460652358,1184702091,-398403656,1862860824,-1725036281,-335962813,1134010632,-1656316509,1532583928,-1974418600,-167005245,-1023190045,50067,0,0,1448235347,-157526697,54581510,-1008139404,20768768,-1203330630,567089664,-215685114,1187776140,1187921545,1188052617,8436487,-398668866,-697171381,113759883,901334817,184648680,-1955892032,1019985896,1087846027,1088032395,984927787,1912797571,23345157,-1247803276,-1421802435,-1414724117,201517443,-2133816800,-761241366,-108811706,-1408601599,-771343799,1092514886,-141863346,-850984776,1593740065,-2142842208,158597181,1946172800,-118798589,1963210922,-481737214,-375065854,116785289,1963213017,-1959020773,725670422,-2126457066,-398668862,-393543526,1978469279,-210526713,1894498355,-1958949953,-1958293490,105303606,1187788543,2088773127,880094722,76162641,-1977219704,1166541124,1188208641,1442989448,-2146137562,-360701750,-2080928928,12059590,-400437945,-251397907,1593740110,1493419651,516827911,1187788543,-1527514081,-761245921,-12240314,-1096154764,-919386412,-1073042772,-980682123,1583308189,-1017423526,-399527856,125105257,-761111376,-1564256186,-1017624878,1465012563,-471294890,1176354815,1188050571,1187919497,-868810978,179052358],12,[973567168,-1442614073,-1994394389,-1975070666,-2118110248,1950752255,1188208669,1962886458,-225727999,-1073042772,498793077,554092358,-398970553,-620101616,-123927436,-107150613,1499094878,1381090139,1385977431,-507577717,-2133707962,1966735741,-2146072056,-360652830,1191229504,1918509517,1292607,-850526024,-969117151,4641542,1188300486,3729408,1188234810,-744352898,1186971206,-1186540353,-201588723,1946696868,1292554,-850460488,-1596296415,183191251,1193350795,-1207063832,1587347456,-1017554337,12080727,1186971392,-67105351,913682162,-1106907261,-947176722,-1492617817,146277749,-1960580352,988987128,-1492617817,79168885,-1961628928,989249272,-1492617817,45614453,-1207702784,1599995904,1364414659,-1672063150,1087837835,1088044683,1946172800,63605550,725670926,783303119,-1951468804,-2083902513,-885324565,-24439425,-201526645,-1331015772,-1431655873,-1649803088,-1660752904,1516199673,-1017619623,1465012563,-2120460970,-1325050941,-1192504572,567101440,-393526158,-1178563066,-13433532,-213854274,-1760654428,-1094700221,2085175511,-388396252,-1752433432,-701808425,-1961391834,725670551,1468606166,-526939389,651569984,-351709303,-980744231,-107150101,-123927829,1516199517,-1178379431,1572732939,1060940800,-102628747,1962998147,920500784,-1106473240,-695533440,7865543,-854848840,-469062367,-873928844,975178993,1966796038,104514305,-392414484,1973285293,-1173113648,567083100,74760446,-1007629336,1555700404,-1272853248,1344392465,1492171752,-30119750,-1170377536,266941581,9758964,512627314,108346787,181014144,645972737,-1006761270,1946165480,8567305,-370033944,512684377,512376227,521013962,-1174281344,787167504,-1091316247,1273495681,-1022542607,-1207938584,208810753,28444021,851648973,-1021194798,1979703528,-843042085,-1160082911,-790087432,958380555,58055434,-382134086,535301059,771864576,58002034,-20766259,-1021194808,1979691240,-850086741,-1160213983,-823445243,-402619970,222097646,229452404,1866276896,1024488558,477455983,1008733356,202732902,839052134,-661938240,1022413288,-1962576627,-1007116605,-113780038,1554010307,1010828288,-1610123968,100810165,-1834861875,1186617407,1975519799,1036762903,1119803275,-523245513,1050852943,-218100807,-1430244444,1066407561,-382255942,1460013851,-155252978,-852839362,266901537,-148510720,-1163214798,283653011,-1017182453,-422449013,-964562941,-645188075,-218102855,-1440698204,-1547684925,-1281147010,1073718080,-1556234078,-1130152508,1086694205,-1572889437,-1683866175,1073652287,-1572888926,-1247657983,1067098688,-1572864606,-1214104443,1035248192,-1556063837,-1046265665,1079747136,-1556038750,-1214104130,1086169661,-1572816734,-912047940,1085907773,-1573013854,-73187334,1079812927,-1556111453,-526172158,1050321726,-1572972637,-1555545922,-962445322,1073324605,-1103127902,512360577,117324508,113656021,855719812,1079820269,-1677155096,1086195454,1954596854,-1123629563,-940179136,151876609,155040814,-1656898002,-672451726,-164728163,74809543,1035405054,1086693718,725638334,1067433926,-1666988285,-1693546433,-1527561921,1067335304,1035732679,-346161152,-1119977306,343212352,1035419264,-2146601727,37797438,79300213,94431541,-1572815456,-523223626,-1247616816,962509376,171816864,1006924992,-385649150,-1698827870,1963015231,1035313186,986514946,1187396276,-1614872063,113748799,15804,33834694,18118,-2146992664,1963065726,943370262,1967104006,72253454,1067564802,18118,-1962450456,1031799422,-1172998912,984627047,1979598136,4638374,72253442,121956358,-1590291526,-475447874,-1450150529,343146512,567104692,-1558278626,-1545326019,-1205925167,567094785,-2118193869,-601978368,1079820090,-167279384,-176881209,1035742729,574967,1048579189,1946172854,-1140406779,-1588198336,1555972293,-1077531840,-956088318,-2009071709,1094712846,1049142515,-1956757503,82831557,-386958616,1625818345,10742016,-1174228504,915092846,914963913,-588759170,-662378232,1035353728,-1168149248,378093570,-1648738442,147187763,-382441286,-1588198282,1555972293,-1077531840,-956088318,-2009071709,1094712846,1049142515,-1956757503,76802245,-386982168,1048577165,1962950070,-1564462325,-995934784,1036100157,1085486729,-1120107073,2011709437,-13202683,1048625983,1962950845,-8591101,915139891,512377011,1556036316,111667264,-940119182,-152669056,-294321721,-1073771544,12058716,-2145268439,376766524,-2143288671,41171708,537673904,1554145324,-401492992,-392429305,1956506763,-12261117,109494322,-1073070650,213453684,1054916352,-214000962,-1564462428,1049313463,-1682030593,-311695298,1035353728,-167283456,37748998,45748340,2081851712,867154495,-402137368,-907481823,-1237417984,175439933,1912706536,-1073297915,1048576061,1946172854,41412620,1073350390,-352160513,8775692,113663861,-352305727,-96567136,225771327,1085486731,1073428105,1073350342,-1947388929,-1975471306,-1086661602,-756531108,-2134379003,-940166540,-386894591,-588710216,1042005995,-852950856,1054980897,-1958863682,-398459074,1048577069,1946172854,-1224292859,1474887744,-19207681,855708136,1036034752,-1573010269,915094977,914964475,149438643,-385649664,434765381,-166546177,37748998,-469105803,448024771,-851535174,1555716129,169987328,113689536,-1174389324,12075010,1931595069,-247863279,4275612,-1917188491,116516916,-661929059,1079582345,-849936200,-1089042143,-1056011968,1140897856,-494919219,1528203392,-2146601920,4241470,-323352972,41478456,1079582347,1036127883,1036261003,242600491,-2147391256,4242238,244016501,-1910620734,-1271028450,522308927,-930392718,1048596963,1962950747,-1136754681,460587072,1049350539,447757764,-1526297082,128905789,117310837,725695924,63605713,-1992440818,993903630,1916649998,18081804,1086013056,-351243008,1530822799,125042752,1035222656,-1954450432,-1270851298,-1021194946,1036074624,-1594329856,585645500,-1959496702,993903646,1966981662,13297673,-1007091084,-1910580429,-952261346,520100359,1036257023,1085736646,1085907200,1036256771,20776306,-401968128,-696975200,1085881987,-1954712576,-1958742498,-1958690546,-2143240426,4240702,750006644,-506453555,-506338864,-506338863,-838144304,-852839343,-1125547743,-773224953,-790179615,-790179610,-2132356890,-703987499,-2091256438,712900859,-849935944,1107474465,-896806349,-804576819,1140897948,-1269685811,1512164670,-150243939,1962967234,2025477,117376235,117325257,-1007141439,1073094283,-385892120,113704968,15817,-1615139605,-851332033,-1230978271,115888189,104486912,-960283210,4242182,1036009088,-385649664,1156055171,53012481,1048581749,1962950747,-1237417969,79298621,-966888395,21018374,-2143485512,4241214,1018430581,-1615148749,-1172189889,1021850846,-1556188433,113655798,-1962852928,1140898008,378020301,-1024049160,-1607306112,203701692,-1130362507,-1207563712,2048422976,1946724384,1140963356,-897518030,-132741088,-350106305,-965350644,71351302,1085607552,-1220640764,494207040,1963106792,1530822680,292880448,-399167302,113706139,15812,1085998846,-165770301,-2016857281,-482491378,-1190723597,-1220640704,1517617216,-1910582733,-1271028450,522308928,1916053946,1959275295,-133761325,343179327,1073219318,-2146798304,4240702,1950989941,964344507,1036060414,-2147204376,4046910,512432500,-75284490,-1274774016,-1172189890,1102331807,113648077,-385860160,-768345294,28889479,-2145268414,4043838,1085587828,616767949,1343257100,-1197340636,69490752,138460322,-1606372090,-1073069892,-1707179837,209059647,-1120107073,-538427494,-398071808,109494322,-1073070087,-1964440715,-1674147072,1045937983,-852950856,3964961,1170605172,-1616806911,989626431,1085276788,1086066314,1613504524,-1606527070,646594462,35995649,1958742530,1975794195,-1119977457,141819968,1073350398,116113458,-1004404172,101378256,-1230880579,-790572995,1085645536,1085816448,-1574669056,-922074948,-1073078923,243997044,333659588,856038064,-1526296833,128905789,-1991309963,-1153579970,1048592027,1946172854,1054980867,-1958848322,-1187013570,1017905160,-1979550401,1948269575,-498882047,-1341935119,1946433568,988127251,1060940970,126485109,24387644,-236829782,-1012219854,33834742,-712301963,-1207582077,567098624,-661973390,-851181384,-851528671,-2134706655,1190544757,1064567812,-2147133813,41171710,-897564494,1625980960,-1947735576,96633813,-2147189110,-8386841,-1961396986,984810102,1979604024,4638214,-972690686,1308688454,-8363285,-972720894,-1023410106,-1259533592,1914817851,872057635,1237879744,-1605390606,1187397032,1161429504,-1442482945,16795334,100945536,-1023392280,18118,-167477622,-210500409,33572550,-2147322229,678690876,988094090,544480312,1547188915,-972720898,1308688454,478599986,988589800,141885276,567098292,-1082975098,-529995271,-2147320183,-1593048762,146356966,-2035617024,-997807420,-1426914383,-1012219854,46026833,1067433792,1035275914,984672650,1963017272,103460103,-930465075,1161312944,-1979026175,709314309,-1975857914,1978219240,-412162013,1149967988,-11695105,1489052240,104469109,74791653,149677066,988089914,-318111115,868440408,-985757248,1086890560,-1975465566,861379832,-135746359,1007908326,1022784544,-2030930935,172017926,-370510656,1048576291,1963016068,-444667901,91603770,-343879808,1963801812,17099011,1034356282,65602421,943370753,-401378028,-391380672,1049166140,113656005,-385859385,1049165989,113656005,-2147467065,20939838,518528885,1343911399,37598624,-398799610,984613136,1476463592,1086668425,1086785222,-452576768,-32934598,-968833018,-12531962,58015548,973262720,1966791174,47153201,1087716992,-351963904,8382757,1048577972,1946173640,-1342000126,-953800129,-2031455680,-2046172191,12249313,-136126074,-1293360762,-2145290778,1048577231,1946173653,46659077,1049186165,117391557,113656005,-956350265,4245510,-1409250328,1065631360,-402426623,-202840932,1009939685,976122893,1950197510,1958951464,1966750756,-2076278769,91554367,-352296984,300631762,-1157671191,1139358013,-559093272,-107126962,1072385731,-2130587776,-394264371,1011279274,-1341557491,-847140352,-521453568,-402641944,1460069444,-1090056623,96025338,13467904,1974399552,-1736437,112831,-401874733,-1341694119,-1654674944,1101710328,1086785278,1173699,911563,-1008381720,419874606,-352320965,113716743,80665,-1957342468,1347637740,503731799,465504014,40799035,7768894,855819651,31779035,1948597420,1958742550,25749509,-1947667733,1577524993,1499158623,784554589,990906054,624733184,976151412,1950014214,104476232,-411813156,-586794450,776107066,987629114,809253748,960249714,809253751,-2094133387,3871806,817104757,405178414,-1590800325,179911444,1524758272,-360647118,784466736,-348449629,113651372,-352240880,243281572,-352240879,786375836,988022330,976100212,1950015750,104476189,527710946,-486131154,-400133062,1474887998,113716991,1063702,-953258773,171644422,-396104960,-1031143143,-402599448,938017054,182998783,787647233,991170187,192203019,272531502,57999419,1442850792,1958742700,11069445,777975531,990920320,772568064,991170187,57985291,1577060328,-385819160,-768344330,-1073042346,-347995276,-903127304,1743258486,-1226259712,868387584,1048587986,1946172177,11003907,-1959897517,775624246,991170187,1577061352,4253787,-385835544,1347026614,-768359797,-661915913,-2013857960,-1039445798,1392997464,1543497704,-2144465941,3870782,333972341,184254464,-1014824078,-2020987386,-397331584],13,[-1017577454,192858379,991469614,321617,-1007033767,2147451306,-1023314885,-2026169415,1959734223,-1959898122,507189534,465182478,-851397573,74587937,427083835,-1559851474,883538493,705099302,108330763,-1158882840,-605472573,1455643621,-1014762613,847986178,-1017244533,-1573994445,-1574028528,-1557251311,548420372,991470126,195,0,858927408,926299444,1111570744,1178944579,-1879026907,-164391117,542319934,1983092992,1815684415,866189412,1064976248,-1409264859,155155507,221491968,1952530954,1713399907,543517801,1936943469,224882281,867631114,1850280461,1953654131,1936286752,1769414763,1646291060,1751348321,1818846752,1628048741,1881171054,1936942450,2037276960,2036689696,1701345056,1701978222,226059361,869269514,543449410,1835888483,543452769,1713402479,543517801,1701667182,268438029,1886733364,1633905004,1713399156,543517801,1701667182,544370464,1701603654,1953459744,1970234912,168649838,1177824512,543517801,544501614,1853189990,658788,1632646231,1847617652,1713402991,1684960623,1778387469,1667449140,544437093,1768842596,168649829,1228176640,1718973294,1768122726,544501349,1802725732,1634759456,168650083,1328844544,1864397941,1852121190,1869769078,1852140910,1886593140,224748385,883621898,1701603654,1701995296,1869182049,1919230062,225603442,885522442,1701603654,1851876128,544501614,1663067490,1701408879,1852776548,1763733364,1818588020,658790,1866675424,1852142702,1718558836,1936024608,1634625908,1852795252,1936682016,1700929652,1701998438,1886348064,658809,1850291462,1768710518,1768300644,1634624876,1864394093,1768300658,1847616876,1713402991,1684960623,838863373,1681466677,1818838560,695412837,1886348064,224683369,895025162,958742398,1766203492,1932027244,1912610857,624919861,543452217,1702132066,1919295603,168650085,-2026536192,1228900671,1818326638,1679844457,1702259058,1701868320,1768319331,1769234787,168652399,1127586560,1701999221,1679848558,1702259058,544434464,1814065006,1701277295,1635131506,6580588,1951610299,1701538162,1797284128,1998616933,544105832,1684104562,539893881,539893806,1228267008,1818326638,1881171049,1835102817,1919251557,-16774643,1853182773,1416523597,1700226421,1969771620,1399419462,168653921,1635151433,543451500,1702125924,1127623168,1701999221,1679848558,543519841,2126697,168638011,1702129221,1701716082,1633951863,2123124,1831351886,1684286829,695826733,1644175418,1684285494,762146093,975796601,913375264,762935592,1680698733,540682596,221675520,1986939146,1684630625,1835627552,-1895817115,1920287542,1953391986,1835627552,1936269413,916520992,1850018317,544367988,544695662,1701669236,-1275060166,1701986614,1970239776,1920299808,1495801957,1059671599,540461312,1380533308,538976318,1127669504,1095781711,1699749969,1852797810,1126198369,1970302319,544367988,542330692,1936876886,544108393,778315040,2122789,1066088171,1126514573,-1892213248,1867915327,1701672300,544106784,1986622052,1663377509,7546144,1066546981,1936277392,1634205728,1869488243,1650551840,1224764517,1818326638,1679844457,1667592809,2037542772,1392511501,1634620727,543517794,1663070068,1952540018,1768169573,1952671090,226062959,929628170,1635151433,543451500,1752457584,1869488172,1768169588,1952671090,746156655,1919879693,1919509536,1869898597,1847622002,1696625775,2037674093,-2013263347,1937067319,1886593140,1718182757,1313808505,544370464,222709327,935395338,1919501344,1869898597,1864399218,622862438,658771,1066612700,1344302926,6845537,1095776244,1346193492,1347243858,1329806676,1162892109,1850293571,1768710518,1919164516,543520361,1931505257,1668440421,1634738280,168650868,1228411392,1818326638,1679844457,1667855973,658789,1632385075,543974754,544501614,1853189990,658788,2035497030,2019652718,1920099616,168653423,221796864,542265158,1852727651,1646294127,1701716069,1684370547,1795164685,1936607544,1768318581,1852139875,1701650548,2037542765,-2063594995,1953384760,1701671525,1952541028,1768300645,1696621932,1919906418,1920295968,543649385,1701865840,-1660941811,1851867960,544501614,1646292836,1918987881,1701978233,544433249,1836020326,1679843616,1667855973,658789,1380071621,541802821,2126697,1163278574,1497778514,544434464,1161361920,542066755,2126697,1718565127,658790,1852782866,436210189,1986939193,1684630625,1952542752,1919885416,1818846752,1634607205,168650093,1228480768,1818326638,1847616617,1700949365,1718558834,1918988320,1952804193,225669733,960430090,1869771333,1920409714,1852404841,1869881447,1986356256,224748393,962592778,2080377357,136316985,70877440,1244814107,1142013250,-1354422738,296961809,1276224840,-749858376,299847697,1410444113,928390879,379543313,1163300,1414483459,1158285249,1380930130,1163281740,84444492,1397315653,530516,1380533251,101486851,1095648594,-1073658547,1163002639,264241486,1095910661,1744913747,1162085135,258474316,1348031492,272105797,1296388611,67175426,1498435395,86401283,1398096208,257622597,1413563396,499712581,1296651268,516685893,1380275715,51457536,21778262,1124208856,366674244,1145586437,-620670391,1145897493,85335553,1229212493,371065170,21254658,1376065122,1380533325,85352961,1095062082,627310667,1380275718,5850697,1392715158,-821930939,1380976147,1414548815,68400386,1213481296,68306946,1414092869,68388608,1498698819,68362755,1330135877,69542146,1330925383,84474370,1179207763,145949268,38160642,1174603633,469914191,1279460107,313983059,1014776064,690496574,1313407017,757747524,1634487339,1396917370,775892568,1882077740,1127116409,1160662351,1110328664,1112953921,542593089,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],14,[1024,0],15,[1024,0],16,[1024,0],17,[1024,0],18,[1024,0],19,[1024,0],20,[1024,0],21,[1024,0],22,[1024,0],23,[1024,0],24,[622,0,1,16777216,1,2204,400,0],25,[1024,0],26,[1024,0],27,[1024,0],28,[1024,0],29,[1024,0],30,[1024,0],31,[1024,0],32,[1024,0],33,[1024,0],34,[1024,0],35,[1024,0],36,[1024,0],37,[1024,0],38,[1024,0],39,[1024,0],40,[1024,0],41,[1024,0],42,[1024,0],43,[1024,0],44,[1024,0],45,[1024,0],46,[1024,0],47,[1024,0],48,[1024,0],49,[1024,0],50,[1024,0],51,[1024,0],52,[1024,0],53,[1024,0],54,[1024,0],55,[1024,0],56,[1024,0],57,[1024,0],58,[1024,0],59,[1024,0],60,[1024,0],61,[1024,0],62,[1024,0],63,[1024,0],64,[1024,0],65,[1024,0],66,[1024,0],67,[1024,0],68,[1024,0],69,[1024,0],70,[1024,0],71,[1024,0],72,[1024,0],73,[1024,0],74,[1024,0],75,[1024,0],76,[1024,0],77,[1024,0],78,[1024,0],79,[1024,0],80,[1024,0],81,[1024,0],82,[1024,0],83,[1024,0],84,[1024,0],85,[1024,0],86,[1024,0],87,[1024,0],88,[1024,0],89,[1024,0],90,[1024,0],91,[1024,0],92,[1024,0],93,[1024,0],94,[1024,0],95,[1024,0],96,[1024,0],97,[1024,0],98,[1024,0],99,[1024,0],100,[1024,0],101,[1024,0],102,[1024,0],103,[1024,0],104,[1024,0],105,[1024,0],106,[1024,0],107,[1024,0],108,[1024,0],109,[1024,0],110,[1024,0],111,[1024,0],112,[1024,0],113,[1024,0],114,[1024,0],115,[1024,0],116,[1024,0],117,[1024,0],118,[1024,0],119,[1024,0],120,[1024,0],121,[1024,0],122,[1024,0],123,[1024,0],124,[1024,0],125,[1024,0],126,[1024,0],127,[1024,0],128,[1024,0],129,[1024,0],130,[1024,0],131,[1024,0],132,[1024,0],133,[1024,0],134,[1024,0],135,[1024,0],136,[1024,0],137,[1024,0],138,[1024,0],139,[1024,0],140,[1024,0],141,[1024,0],142,[1024,0],143,[1024,0],144,[1024,0],145,[1024,0],146,[1024,0],147,[1024,0],148,[1024,0],149,[1024,0],150,[1024,0],151,[1024,0],152,[1024,0],153,[1024,0],154,[896,0,1,-8,1,262147,1,393221,1,589823,1,655369,1,786443,1,917517,1,1048591,1,1179665,1,1310739,1,1507327,1,1572887,1,1703961,1,1835035,1,1966109,1,2097183,1,-1,1,2424831,1,2490641,1,2621479,1,2752553,1,2883627,1,3014701,1,3145775,1,3276849,1,3407923,1,3538997,1,3670071,1,3801145,1,3932219,1,4063293,1,4194367,1,4325441,1,4456515,1,4587589,1,4718663,1,4849737,1,5111883,1,0,1,5242959,1,5374033,1,5505107,1,5636181,1,5767255,1,5898329,1,6029403,1,6160477,1,6291551,1,6422625,1,6553699,1,6684773,1,6815847,1,6946921,1,7077995,1,7209069,1,7340143,1,7471217,1,7602291,1,7733365,1,7864439,1,7995513,1,8126587,1,8257661,1,8388735,1,8519809,1,8650883,1,8781957,1,8913031,1,9044105,1,9175179,1,9306253,1,9437327,1,9568401,1,9764863,1,9830549,1,9961623,1,10092697,1,65535,1,10354845,1,10485919,1,10616993,1,10748067,1,10879141,1,11010215,1,11141289,1,11272363,1,11403437,1,11534511,1,11665585,1,11796659,1,11927733,1,12058807,1,12189881,1,12320955,1,12452029,1,12583103,1,12714177,1,12845251,1,12976325,1,13107399,1,13238473,1,13369547,1,13500621,1,13631695,1,13762769,1,13893843,1,14024917,1,14155991,1,14287065,1,14418139,1,14549213,1,-65313,1,14811361,1,14942435,1,15073509,1,15204583,1,15335657,1,15466731,1,15597805,1,15794175,1,15859953,1,16056319,1,-65291,1,16253175,1,16384249,1,16580607,1,-65283,1,-1],155,[16973823,17039619,17170693,17301767,17432841,17563915,17694989,17826063,18022399,18153471,18219285,18350359,18481433,18612507,18743581,18874655,19005729,19136803,19267877,19398951,19530025,19661099,19792173,19923247,20054321,20185395,20316469,20447543,20578617,20709691,20840765,20971839,21102913,21233987,21365061,21496135,21627209,21758283,21889357,22020431,22151505,22282579,22413653,22544727,22675801,22806875,22937949,23069023,23200097,23331171,23462245,23593319,23724393,23855467,23986541,24117615,24248689,24379763,24510837,24641911,24772985,24904059,25035133,25166207,25297281,25428355,25559429,25690503,25821577,25952651,26083725,26214799,26345873,26476947,26608021,26804223,26870169,27001243,27132317,27263391,27394465,27525539,27656613,27787687,27918761,28049835,28180909,28311983,28443057,-65101,28705205,28836279,28967353,29098427,29229501,-65089,29491649,29622723,29753797,29884871,30015945,30147019,30278093,30409167,30540241,30671315,30802389,30933463,31064537,31195611,31326685,-65057,31588833,-65053,31850981,31982055,-65047,32244203,32375277,-65041,32637425,32768499,32899573,33030647,-65031,33292795,33423869,33554943,33686017,33817091,33948165,-65017,34210313,34341387,34472461,34603535,34734609,34865683,34996757,35127831,35258905,35454975,35521053,35652127,35783201,35914275,36045349,36176423,36307497,36438571,-64979,36700719,36831793,-64973,37093941,37225015,37421055,37487163,37618237,37749311,37880385,38011459,38142533,38273607,38404681,38535755,38666829,38797903,38928977,39060051,39256063,39322199,39453273,39584347,39715421,39911423,39977569,40108643,40239717,40370791,40501865,40632939,40764013,40895087,41026161,41157235,41288309,41419383,41550457,41681531,41812605,41943679,42074753,42205827,42336901,42467975,42599049,42730123,42926079,42992271,43123345,43254419,43385493,43516567,-64871,43778715,43909789,44040863,-64863,44303011,44434085,44565159,44696233,44827307,44958381,45089455,45220529,45351603,45482677,45613751,-64839,45875899,46006973,46138047,46269121,46400195,46531269,46662343,46793417,46924491,47055565,47186639,47317713,47448787,47579861,47710935,47842009,47973083,48104157,48235231,48366305,48497379,48628453,48759527,48890601,49021675,49152749,49283823,49414897,49545971,49677045,49808119,49939193,50070267,50201341,50332415,50463489,50594563,50725637,50856711,50987785,51118859,51249933,51381007,51512081,51643155,51774229,51905303,52036377,52167451,52298525,52429599,-64735,-1,-64731,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,56230745,56361819,-1,-64673,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,65280,268435456,1313429248,540424243,538976288,0,538976256,538976288,538976288,0,0,1769414663,909652846,3328,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,567086772,-1558278610,-18371,181470855,1962934077,-852577276,520039969,-315408991,181354115,235238911,308013343,-87520004,649908366,-1064371384,-1558278602,113653309,914373503,1006765766,1961692032,113718793,218184576,1048582123,1946159821,113647120,234883789,1015396895,567098292,725516319,175374347,187317888,-402426624,113646175,-1946154297,1356369608,-1203231046,567097344,-1526322344,280711997,1541666560,57987595,1040187320,58065408,-1543634907,512638402,116800931,1946225354,436267023,116787826,1979648810,349693955,567089588,1035313718,187303670,-385649409,116791973,1946225354,433645576,1726481266,-720964081,57999114,906499561,1028523718,-653867520,113639434,-973075752,709638,175572727,108331007,-352153624,1048809550,1946159823,-16867,181352071,859571391,1101704393,-109769412,-2011230647,-348388594,163090474,-1205744291,28466440,521019853,-1271169094,-1977496310,842759950,63013869,-1086619714,-1527563262,-401326872,108271312,-384189207,-806878982,235631389,875280927,-382806552,116850310,1963081945,-1757510674,-546045885,1088175747,-1093110784,465517572,687978558,512434637,2139111639,477444609,-494921846,-854185249,1962884154,-633435380,4030528,1072236149,357231102,-1046346358,-1189040067,-230227959,705212590,1041998529,1442873791,-398719810,-391375926,175379406,108268860,1034356282,860811381,1017818313,1341841421,-772345973,8392328,-566326434,-1203861184,-499741891,1979059008,-1074427134,28835932,-1574843095,1049312694,1049182441,915094970,-167034643,-175439243,-1207931713,567093505,-1958889566,-1992231874,-1958888386,-146743746,-1723980841,-1103197885,1041997885,1036064394,91607562,-1293301506,356116756,1034100366,181354115,-385649409,-1360396718,1465255677,-1202499503,-1064374272,-29458394,141884927,1498962936,-1022927265,-1900019528,654259136,-1437254271,-2147153292,-268419840,-521409166,39684646,-472776910,-1014766639,-2132573825,442367,1192069670,-921965262,-1023212427,-225716245,1957098310,-2080832761,-454360121,1950301312,540835845,-1943081099,775919622,1066811017,-1147474951,1219821567,1219764685,1347625421,505750200,-1558278610,20036157,-628350515,1512030862,567104948,-2135238002,-853888000,-744413663,2925323,64654427,35031507,1255836672,-1992107378,-1912602346,16482778,855798288,-754667045,-1898279709,870550482,-789098304,-1741226194,922693183,-1030865002,89123019,-2117926542,1949601274,520039955,393493933,-402131992,-727573586,869186058,235028456,751953951,519862761,-1075306738,256044,-1194661089,567086088,-854851400,-1125596383,1006944255,512678028,922684023,922681345,-661782525,1006906344,1952078138,1996945191,1962934026,512630318,378079863,243859457,-1205927933,567099904,1174849326,872415048,-1877939255,-402597400,116851202,-62857,-389827979,-2126446090,1929412857,1948597292,222079538,-276697739,-947176443,1006871078,-402531864,116786314,234949322,-1160547297,-722977788,292808721,1947024579,9496579,-388764758,624689590,222087028,808239988,154941042,-1952959881,115593688,175572622,91720486,-97529,-1910597260,1225422622,1947024556,-108969713,57868416,854715306,-1242882112,-8656609,482301726,-1439693762,-1442747928,326438204,-12204506,1042071040,-400617889,525271373,1023370985,-1327401691,1166550589,1042071295,-397336818,106499866,-1962471905,74604535,1325476072,-13375201,175572727,24510463,18933955,-260764356,109971139,1236549029,-1022942771,-1258291269,-1272853176,639749448,-1559501405,-661963355,-1020540788,1096531,190571511,-1207733038,4063231,620983810,-1029440000,-1008155843,-1559851500,105834557,-400946712,-1608056909,19139274,9889872,-398668866,-645196459,12108673,-754667183,-850873109,2007180833,-6756342,-1910110630,638220038,1734,650130176,637534627,1207960483,-1962932801,702943,-896816141,79602931,702780,1007695336,-484609011,1065952774,-1409105021,1947217384,222079495,-202700172,-475394640,-588559905,-1918189518,78712669,1253370835,101130701,-817986785,108396298,181339847,-799473680,134924838,-385168890,105970242,-1559851474,2007049789,1958742794,-1064434157,567101876,650130183,638220195,181022416,1354979335,-1073042772,-1017578891,-149008045,-16091386,106329343,175572622,17204006,-2094661376,790,-1899459577,1176407000,-294072,1220156789,-15824056,-1021408454,-851463104,-473396447,1745783072,-1982123192,-1974974946,1128810631,1214783035,-4521102,1176406527,1964653640,-1558278631,-9508803,-1342026264,-817986803,108392458,181339847,1495269375,-1168587941,-1075234711,-1274624495,113705021,18211,-402619970,222039850,-292821644,-1254509377,-1963619584,937641741,276103915,629810860,1959017031,550273029,-287128518,-1946614881,-1639495907,1017961333,-390826995,-780857606,-15798808,-1273563421,587661117,1454697287,1017956659,-392727539,57937630,1022618433,1007121469,-1400409075,1017968107,-400526019,222039742,-211871372,1310160038,1947024512,222080184,-1343704204,-1326025458,-381948929,-391315620,-361427294,787202098,244902060,-1699022219,436254782,45818317,589169408,1087879239,-1961281560,440599,-850526024,839217697,-1878791232,116850608,1962884532,181466626,-385649472,1407776942,-2117170418,671121897,-1979678706,-2013233138,-1086586098,-201573372],156,[-1441943388,-1558278626,-737753539,-383779062,2078931425,839563263,222080219,602469492,739013646,-154958288,-2034040089,518712259,1034100366,180889226,985674271,-23628829,-1902908472,-1589796066,-1073018249,-1899822731,-1076326720,1972174853,637186,1032037875,-1947503361,-16398539,222080255,1015085941,-1982106624,116900661,-62857,-1570188,230746365,-1007095692,512672761,116866467,-62857,-768347276,1998491166,18254090,51808512,1223171840,6143995,-1342174279,1974399520,-377274111,786036491,1050283657,1929360360,1949973532,-38475741,158665276,1929356264,1949973516,1996945171,1979711242,5302504,1488592654,265611576,1929349096,6143984,-1710322898,1359342398,1509786088,975577100,-352160507,639642631,-915077830,-387390905,-2094072470,138320446,540804221,222082935,1474824052,1963801853,-45029127,-1023409688,-1021408466,100369216,1051985010,516104653,175578766,-1207952966,567098624,378215538,243990529,773783555,-1958689885,1107343576,-953278003,-12040698,-628374529,-399241542,126489007,-115392468,41609411,-1558278610,-817987267,1979645962,-821639418,-369098998,-437520642,-1911892319,-1161785640,12060107,-2094936806,345406,117376116,512427335,507184455,-629209783,-402653000,1334515512,-166229245,1963196999,775392022,943379104,192282436,943370305,57999684,721600899,1161724874,410255365,33703926,1334511221,-1876825339,-1194773679,567102976,-1878594727,-850460488,-18399,12059506,88449792,-1888108533,1270822795,-2086341883,345406,-373421195,3964933,1973683060,-1430244616,-772290253,79682355,1142852156,1261865477,-1207497210,-1377304576,158829334,1174702662,343221564,276116536,1270765126,178957317,1341841600,-437559743,222054826,-772350091,51284014,512634428,116800931,234949322,639202335,16729542,1065092807,-1346749436,642902067,-12204506,-145692403,-386445079,938017108,-61871871,1034094222,-717324250,-344653814,856732392,17492178,624748402,-393485451,1975519916,16443612,-551168142,-704234529,-1395755718,376750090,986842682,126075765,155681538,91194114,-12285182,-773323285,984510976,1966789126,16548008,641340020,58014419,-102679,89128711,-1877808314,1912647656,-737789044,-385452742,-756416937,63605755,-293403273,986947587,125043768,1912639464,-1947407383,313082,986973755,-397999756,-697171844,1004527397,1966790662,-1073042227,1776863349,1354985984,1465012563,-118991530,9103609,-402585413,647764070,-401942877,1570634226,1499094878,1014126683,922691078,1225198294,243869263,-1993996985,637880638,88348296,1158072102,-1946157307,646457029,637994571,181733118,-817986778,125173514,-821639386,-1006698486,-382166086,994184438,2101581590,-1193637107,568869079,-1388868843,-1007041544,-1558278626,948156989,181354113,108396288,181339847,-383778817,105909446,-1559851474,-694081987,1958742794,-1064434168,567101876,113714695,2774,-720976346,1476853770,1087879363,872415162,1005990857,1933809422,-388396225,1997214916,-54069497,-167217793,1946223175,-1171854584,1944663571,1976109836,92242709,-2095680509,1199768327,1199768329,1870856963,-92077307,-1948486145,-1142210093,1035482761,-2084556206,276103162,1066130059,973176192,92931701,1613504524,-402629470,1068499968,-1191158337,-1426915317,-1556236127,113721068,15800,1056179910,-1342068713,-1342016511,1036558853,-952252510,4049158,1050327552,567089844,6035082,1527331560,1962933123,-1273525483,1914817870,-1358498289,141836350,1035470535,2079064062,1001658251,1936925133,990082955,843674838,-1274247479,-2044605125,-1975684340,-1024917692,-1978370807,-1159135676,-2044824567,1001717580,1283858893,-1256098817,-9684422,260770677,-835989881,1946352003,929544719,67258358,1757021045,192735540,774782081,2088766581,108331010,1035470591,1556025835,688830464,1015030221,-16485376,1396553742,-1174126872,378093210,-256229485,593618999,-294053,1048778612,1946172856,-402031600,1740244948,187754807,-351810584,1426507433,113704704,-1274019749,5618193,-397401651,-27785292,-385649216,117375186,-1564590647,17623102,1055655670,-385649663,116785288,1947221677,921287176,-350021912,-1105818858,2014742846,-1072264385,2048297278,866564671,-1591542040,-1073004870,-876651404,548950077,-1957123296,2041304,-1014247286,-388823631,-259387612,-372191350,-1048318670,1694072912,-377486478,248768612,1052249739,548935907,-372135136,-372119087,-372184624,1211571850,-394212480,-1070395308,1036761770,1065096841,-399265862,251536027,544554439,-1573009248,-756531769,-200344057,-166234818,37678086,113643636,-401129740,116064377,-399264326,313795183,-855616070,-14161631,1036584695,58064895,-1593921559,104480200,57949639,-1173908248,915092863,914963913,1088962437,-1976126430,-855614442,-49887,-138215051,-1545340959,378093447,-1782956151,572647733,-1187132481,-1527578616,-1180032848,-1527578621,1386922035,-1992438854,-1170244586,15217583,-1161602526,-118999555,-181147615,-1022936856,-1103536454,179044480,-399674176,222037814,1448224372,-1405851462,1946628584,1963801604,2132819190,1448762899,1929887208,-1707180018,125042751,929544798,-1173778967,-1336331160,1560688672,-2081328128,-247790655,984614773,1962820664,351529443,-398893382,222037734,-2081892748,960346631,158584436,1067073152,-352160768,-264860737,113829950,1589251388,-1337363399,907262522,1946240056,7126847,-852950600,941666337,1946184966,1471851567,120842293,397682292,-855614278,1979661345,1438316810,192276532,1358934098,1476765672,24428798,535321283,-254744287,-1022821911,-402619970,222037614,1589249653,149481785,-167116824,37723654,1471809140,148433205,-851640136,-1173195999,37565544,-1160940544,-386320067,-1075246297,621200904,-661979065,1034231438,-2144415181,4662590,-1959877003,-1271021042,-1960719041,514122696,1358902023,-1359865168,4034904,-2147060480,1964703613,1237854986,-164755698,1397171478,-1275067973,1528941888,-1053095310,994688116,-1023314495,-1207959109,567100416,1971372790,105769458,-402619970,646579662,113639516,1006633052,-2011728883,-1409262554,1966750892,95741959,108268860,-382355014,-1696069586,-1090052603,-5242795,-1413467222,145795755,196691882,-213929984,1050327722,567089844,-1275046470,-383660783,1860703427,256005,-1274713879,1344392496,-1952193486,-528066497,-1918639054,924367423,505416425,-402252018,108135283,4030502,1927809653,-398544896,988479578,1191545382,846512138,986777146,1206388084,653126400,-1152973430,-1073071735,-1014817676,63891459,125044538,1962950528,114420721,-16314793,123666775,520603371,965065411,-1340100887,-1341002947,-1609700581,149633744,-348467296,986619907,1460084230,1066385234,924957354,1512016616,-1262287009,35769625,-398799610,851705826,1050328786,-1247740277,-1270807491,-1465865414,-142104003,1065107081,567101364,1932767162,903657987,-1021357336,-1174401304,378093210,-1346748548,524412979,1544981187,79858176,1967144000,-1257897466,1354825277,-1270964802,1931595079,-383840763,-1698757164,1490520894,-1599391052,-1012253272,-402490904,712247408,-402501656,-1058536734,140699650,376716092,1947024556,49473553,91503420,1946437096,49997829,-1070339349,82363307,69199872,1031808707,-1173719808,118372348,-924246258,-2095118818,-141883921,-2130528280,1946222585,-1090056474,12205814,-2016335103,-1163594799,521024403,-1155620119,12058625,-165556924,1282703554,1947255542,891926599,-1031003699,-852156232,1002474529,-1271564336,1007734031,1007252995,-1274711033,-1022309120,-617411660,263459021,-729149235,431409918,-930365389,-1274609477,856739078,-1275021358,-1022309118,-1405515842,-315438966,-1968437580,-501101104,636011513,-2142351865,58014268,-1207958330,567098626,-661974926,-851181384,-2134706655,1051987317,1153049037,504227896,848308715,63602934,-851181128,62477089,-1260702976,1126288702,-1269040670,-1272853179,-1272853179,-1272853179,-1910387394,507355934,-1560274783,-843576629,-1899278334,641573638,638217377,637540003,638217889,637536931,638218401,100666531,1034225294,567101876,642561031,-854931296,15722529,1442938344,1577151464,-389873291,1642594643,1340823041,-402608151,-126615208,-1403593933,259263804,-143311556,1015071742,-17795827,1592585159,108317694,-382178886,-397212358,-27590480,-389843761,-544538314,1442910952,180281223,309560,91596787,1087768262,1593543425,222080086,1239942516,1593240321,1087782528,-392989696,109970042,2042576291,-1260418294,-2145268455,1966735740,-402355702,1093402896,637716355,179912329,-1574518530,1074006722,151495206,-391316597,125043278,57937212,854846378,113683136,1325416662,-1153529562,512672522,512638371,-164426797,1946172544,1056358304,-1073042772,-1816462731,520494643,521972456,-21043477,-1107039433,508966915,1912612328,-386430192,-142147428,721482472,-216070450,-1017241692,-348651842,939769347,1912604136,-1870926862,3008764,1034094222,-754545114,1375679243,-391358634,642187376,1979663674,1609818626,-881567394,5695569,1031808601,-102730496,-1962467645,1105745918,1459940096,1493188584,-108529365,222068931,-391316876,1239941176,1966947328,-2134981648,-1073042432,2011756404,-1022542847,1034094222,-754545114,654258955,1946172800,452846,1035007467,-1070464277,-234815303,104514478,141703903,987760186,539755127,941555502,1397867336,-1962919192,48989145,678624059,-397192880,-2091126701,78709443,-1270617133,-1675506358,-1559851514,-263657411,1482267911,-960887181,59566388,96937642,1499136000,-1940912445,-1064417088,237862,-523041615,123259019,512630467,1048591779,520096461,-2051345804,-851725252,-390057439,-1581054471,101399992,330972606,-1103923914,-1075314559,1947024384,1017923087,1443919162,1577103848,125111612,-386136600,-389873511,116786240,1963081630,-851725306,-1158712543,870856551,317244187,-1274252800,1931595065,931576564,-402299160,-1094509794,1944584321,1947024384,-1395225826,1946186216,1963801609,-12269834,1153876736,-397016833,1012793430,-1158515699,-1070384802,-823606279,1963881215,-851790842,-1158515935,552089535,450422789,1015398339,1074053770,108347452,1035273730,-1968520962,-1338136538,520530746,1203042187,-596500019,1388519182,507084730,-1326964978,-1017503974,321708,-1018234252,-76275652,-143377092,-210490308,-277595332,-344716996,-1178400196,1017905160,-1442745312,1017968866,-1978436576,988127456,-1429961046,1017905841,-1442614240,-1070401310,1973863338,-8617732,-336169984,229658869,-91531439,117440441,-1359870178,16729542,2081851655,867154495,-971358488,1913519941,1482252036,-1910567229,-1170365690,-2144979799,731710,-270006668,952351240,1342304745,641216436,74726823,41168700,-1017619396,6035082,-385932568,116785904,1963081630,-851725290,-401575391,1068500071,-1191158337,-1426915317,-1950105550,1312747574,-385923958,611647421,745861691,-1293417334,1308849407,-1605307669,1144535781,208951297,1023362186,-401509318,41287577,80135161,-851725312,-1021873375,-2031614838,-143263233,1552341810,-851725311,-1997770207,82313564,914966020,1556037532,688044032,-1815928371,-388287549,104529610,-210420313,-2147431551,-21174202,-411824836,-43849658,-1187317057,-225443835,-1207339602,-523042815,-739518453,-1178938901,18671925,167807721,-1074170688,-919389744,-1975640898,-320649459,1041960506,243861109,-1494008080,-1963392097,1035182597,1193118535,-596271545,-167603736,20820742,-1231025292,-1224340931,1962884157,1006943925,66997736,-1086394314,-919404415,222079660,-348060812],157,[-2146531081,-1291389440,192217661,1962937832,907262470,-16733719,-394729005,8503127,-1409253186,-315438966,1010673568,1605300736,-1274624317,378142781,378027457,113655323,1375747989,-398582854,1935338175,-1794703865,-1878922433,-969094209,1048576005,1946173333,-1877546237,185117160,1024160960,58458116,-376436757,1139535148,32303248,1034225294,567101876,1034094222,-955843034,113649162,-1090516275,-141885348,-218082631,1019984549,-1207184453,116804352,1962885013,-355211005,-779173492,-16306756,238922030,875280927,-384295448,-919345202,1034094222,-1959000898,574401790,-973208459,222099435,-141823115,1965178028,1959656976,1191544844,1017954814,-17402590,-804898099,943224122,-1408862972,-670630362,-46864374,225774908,638387654,181995207,-1729560567,-641771776,115313418,1947024556,-48437144,104489844,1567899047,988670890,1966788358,-388068577,222100734,96865141,1309067021,-352319171,1321162596,115313469,-924121330,-58662774,973501564,1966788134,1048585791,1962937130,651175429,-31061302,-401921530,222100674,2084309620,104466036,477444814,15277830,-1327462910,-2082526406,125108219,-12240858,844038517,1594337984,-2142820984,91491836,803848702,1048585983,1946159914,189710100,1279166758,1006943755,-1392740888,1963801770,51284218,1048585788,234883882,-2134981881,-466441216,-1992364381,-968953802,4169222,1067058886,-264860928,-301036738,-472478914,-396996291,-224133781,-567583938,-1949629607,1227613142,-54794068,117310581,1060913050,243271029,973225886,1966791174,-1643216891,333972031,973501692,1966974726,-1070444844,1011221638,-2013104883,-264861436,-301037250,-2134981826,-1073042432,65599348,-1022542848,-68884308,993789045,-1018235275,1397772830,512634449,1048591779,1962937130,-737741299,108396298,-402650648,1532559436,-1021355432,1312718894,-143392707,-1172369890,12074318,-841446595,192028449,-5187445,-1575467130,247660568,7464991,1946173757,1040154632,-558233996,-33756876,1026844858,-176947198,-382436422,1048641006,1946159833,-666992579,527695882,-1207248454,-850379519,225598241,-919350733,45668491,-350106302,343317,-1162840839,-919401767,-850379596,-1552786655,-5187445,-1575467130,1354956825,-1392719565,1975519809,1492200442,-1661111357,1465274707,1344144981,-849759150,-1168418527,1094530189,-1962642432,533826499,1583308039,-1013097639,512634398,1048788387,1946159823,-817987322,535822090,503427267,1034100366,520801698,777133763,1034100366,-1274336070,-1172189887,1102318396,-396746291,113640498,520096555,946453187,251648744,-47650529,-7739236,-1011199408,-3545032,937959182,-1655154155,1962950973,-49485565,-1897603607,-29514978,-1274336506,773967129,986514946,-1156891486,126356268,646505522,646449967,-745862337,1521797427,-1267588659,1052039307,1018831309,-849693685,-1952091615,-851528488,-24057823,189544075,181354115,-955877889,708358,-2144277520,-32847322,189544075,1954299052,104476170,57948878,-1962898967,-1207185642,567098624,1676215155,-1327985665,407340799,-1090512734,-919389180,1963801728,-12457725,986619950,-176946120,1954299008,1017818352,1094677517,125074492,-838452690,653161786,234833350,243805769,-1991361533,-1962193866,1359728918,12110131,1495387452,-661936526,1200029616,1679896,198121095,198252169,-2010247701,1312555790,189544073,251537384,-447813345,-2114012440,708414,-955877904,-16068858,-472847873,-1558279122,-1944189379,-1899983160,1210497752,-851967816,-2130262239,-973075200,-2143550970,1006831303,1827147009,23914496,-1949628641,-1950118951,-161172790,-1832614158,648089783,1958742856,578045973,971505847,2877440,-402644248,669515813,417907456,1828864,-402645528,501743637,334021376,780288,-352320792,-389707026,-1597832617,-1012250575,1290322314,-963984638,57982986,-1979563288,37611714,8502979,1022942696,-352095219,1287295049,327018550,-1173860376,1961375328,939571219,-855614278,-1376613599,1211527098,2126121080,-1174178762,1491613325,-1173703661,45693954,34400256,-919395891,-402520600,79624329,222068796,648129140,1958742856,1081362474,1912625896,9037866,1122510194,-400526848,460456063,1912619240,222080111,733244021,-1073077811,-389848459,1550975013,1912627944,2353239,1491620466,-397577728,-672464865,1912607976,4843587,48774770,-387585280,-764280469,-389811062,-729153181,22931651,1824127602,2746375,1956466332,222068756,-1286402188,-154891676,-930391069,1912684264,-1262187813,-1010302208,-399099462,652808867,792505599,104526196,-344704283,987432506,-1007032972,-402619970,222099418,985365620,15657006,-1275032599,1461833004,-1090056698,28523979,855643112,-876959040,2081851709,867154495,118643432,-980761761,1971307510,1013036818,-1224314356,738358384,1975519756,1393340418,-454553417,2746368,-588725878,-162309376,326467779,417857719,-389641728,799015115,-1031099832,1526776552,1971307510,-1429763400,1211343043,-1296383062,302114870,872383720,919059145,-1961756952,-398792418,-445382589,-896845966,1017958963,975598605,973370563,-400132665,561119331,1017967754,974287885,1967664902,5367828,-729149582,1963801772,-852642808,1958742561,916437676,-351162648,-1173703506,45693954,6350848,-919395891,-402630168,79623901,222068796,417892212,-1971162624,-1019564812,-952497804,-129104524,-389873486,-729153533,1108163,-527762830,1912605160,-1979001596,-1023341344,808191114,171768178,1190425333,-2046110525,808455620,41234492,12044074,-1012218965,1034100366,187246208,688785661,-1021374965,-1909567458,842900254,705070784,1958742539,-902901756,-1021356022,1381061456,-962832809,4162566,1184696007,-1070333953,-1090173767,-1426898729,1176176327,113722267,17305,1133971143,79560704,512630332,1048591779,520096469,-1681977227,-1964166587,-29621490,-1096485951,499074459,-1994345658,860266294,-720976147,199753792,251914486,-318043789,468193652,-972231936,37716998,1929384424,-1660621862,-1660752904,1516199673,-1017619623,1465012563,1726520406,-1757510912,1333608515,512489354,117392279,-675789929,8579136,477127,89098496,-1962772600,-1991894218,-986315977,-1980290240,915080055,2005485215,-1946711287,54926142,-1694531079,722828612,-1527513863,-1985347408,-1656349890,-1207243784,65732609,-1660943688,1516199673,1354980185,-1671999149,1946273782,-1656847588,460652358,1184702091,-398403656,1862860824,-1725036281,-335962813,1134010632,-1656316509,1532583928,-1974418600,-167005245,-1023190045,50067,0,0,1448235347,-157526697,54581510,-1008139404,20768768,-1203330630,567089664,-215685114,1187776140,1187921545,1188052617,8436487,-398668866,-697171381,113759883,901334817,184648680,-1955892032,1019985896,1087846027,1088032395,984927787,1912797571,23345157,-1247803276,-1421802435,-1414724117,201517443,-2133816800,-761241366,-108811706,-1408601599,-771343799,1092514886,-141863346,-850984776,1593740065,-2142842208,158597181,1946172800,-118798589,1963210922,-481737214,-375065854,116785289,1963213017,-1959020773,725670422,-2126457066,-398668862,-393543526,1978469279,-210526713,1894498355,-1958949953,-1958293490,105303606,1187788543,2088773127,880094722,76162641,-1977219704,1166541124,1188208641,1442989448,-2146137562,-360701750,-2080928928,12059590,-400437945,-251397907,1593740110,1493419651,516827911,1187788543,-1527514081,-761245921,-12240314,-1096154764,-919386412,-1073042772,-980682123,1583308189,-1017423526,-399527856,125105257,-761111376,-1564256186,-1017624878,1465012563,-471294890,1176354815,1188050571,1187919497,-868810978,179052358,973567168,-1442614073,-1994394389,-1975070666,-2118110248,1950752255,1188208669,1962886458,-225727999,-1073042772,498793077,554092358,-398970553,-620101616,-123927436,-107150613,1499094878,1381090139,1385977431,-507577717,-2133707962,1966735741,-2146072056,-360652830,1191229504,1918509517,1292607,-850526024,-969117151,4641542,1188300486,3729408,1188234810,-744352898,1186971206,-1186540353,-201588723,1946696868,1292554,-850460488,-1596296415,183191251,1193350795,-1207063832,1587347456,-1017554337,12080727,1186971392,-67105351,913682162,-1106907261,-947176722,-1492617817,146277749,-1960580352,988987128,-1492617817,79168885,-1961628928,989249272,-1492617817,45614453,-1207702784,1599995904,1364414659,-1672063150,1087837835,1088044683,1946172800,63605550,725670926,783303119,-1951468804,-2083902513,-885324565,-24439425,-201526645,-1331015772,-1431655873,-1649803088,-1660752904,1516199673,-1017619623,1465012563,-2120460970,-1325050941,-1192504572,567101440,-393526158,-1178563066,-13433532,-213854274,-1760654428,-1094700221,2085175511,-388396252,-1752433432,-701808425,-1961391834,725670551,1468606166,-526939389,651569984,-351709303,-980744231,-107150101,-123927829,1516199517,-1178379431,1572732939,1060940800,-102628747,1962998147,920500784,-1106473240,-695533440,7865543,-854848840,-469062367,-873928844,975178993,1966796038,104514305,-392414484,1973285293,-1173113648,567083100,74760446,-1007629336,1555700404,-1272853248,1344392465,1492171752,-30119750,-1170377536,266941581,9758964,512627314,108346787,181014144,645972737,-1006761270,1946165480,8567305,-370033944,512684377,512376227,521013962,-1174281344,787167504,-1091316247,1273495681,-1022542607,-1207938584,208810753,28444021,851648973,-1021194798,1979703528,-843042085,-1160082911,-790087432,958380555,58055434,-382134086,535301059,771864576,58002034,-20766259,-1021194808,1979691240,-850086741,-1160213983,-823445243,-402619970,222097646,229452404,1866276896,1024488558,477455983,1008733356,202732902,839052134,-661938240,1022413288,-1962576627,-1007116605,-113780038,1554010307,1010828288,-1610123968,100810165,-1834861875,1186617407,1975519799,1036762903,1119803275,-523245513,1050852943,-218100807,-1430244444,1066407561,-382255942,1460013851,-155252978,-852839362,266901537,-148510720,-1163214798,283653011,-1017182453,-422449013,-964562941,-645188075,-218102855,-1440698204,-1547684925,-1281147010,1073718080,-1556234078,-1130152508,1086694205,-1572889437,-1683866175,1073652287,-1572888926,-1247657983,1067098688,-1572864606,-1214104443,1035248192,-1556063837,-1046265665,1079747136,-1556038750,-1214104130,1086169661,-1572816734,-912047940,1085907773,-1573013854,-73187334,1079812927,-1556111453,-526172158,1050321726,-1572972637,-1555545922,-962445322,1073324605,-1103127902,512360577,117324508,113656021,855719812,1079820269,-1677155096,1086195454,1954596854,-1123629563,-940179136,151876609,155040814,-1656898002,-672451726,-164728163,74809543,1035405054,1086693718,725638334,1067433926,-1666988285,-1693546433,-1527561921,1067335304,1035732679,-346161152,-1119977306,343212352,1035419264,-2146601727,37797438,79300213,94431541,-1572815456,-523223626,-1247616816,962509376,171816864,1006924992,-385649150,-1698827870,1963015231,1035313186,986514946,1187396276,-1614872063,113748799,15804,33834694,18118,-2146992664,1963065726,943370262,1967104006,72253454,1067564802,18118,-1962450456,1031799422,-1172998912,984627047,1979598136,4638374,72253442,121956358,-1590291526,-475447874,-1450150529,343146512,567104692,-1558278626,-1545326019,-1205925167,567094785,-2118193869,-601978368,1079820090,-167279384,-176881209,1035742729,574967,1048579189,1946172854,-1140406779,-1588198336,1555972293,-1077531840,-956088318,-2009071709,1094712846,1049142515,-1956757503,82831557,-386958616,1625818345,10742016,-1174228504],158,[915092846,914963913,-588759170,-662378232,1035353728,-1168149248,378093570,-1648738442,147187763,-382441286,-1588198282,1555972293,-1077531840,-956088318,-2009071709,1094712846,1049142515,-1956757503,76802245,-386982168,1048577165,1962950070,-1564462325,-995934784,1036100157,1085486729,-1120107073,2011709437,-13202683,1048625983,1962950845,-8591101,915139891,512377011,1556036316,111667264,-940119182,-152669056,-294321721,-1073771544,12058716,-2145268439,376766524,-2143288671,41171708,537673904,1554145324,-401492992,-392429305,1956506763,-12261117,109494322,-1073070650,213453684,1054916352,-214000962,-1564462428,1049313463,-1682030593,-311695298,1035353728,-167283456,37748998,45748340,2081851712,867154495,-402137368,-907481823,-1237417984,175439933,1912706536,-1073297915,1048576061,1946172854,41412620,1073350390,-352160513,8775692,113663861,-352305727,-96567136,225771327,1085486731,1073428105,1073350342,-1947388929,-1975471306,-1086661602,-756531108,-2134379003,-940166540,-386894591,-588710216,1042005995,-852950856,1054980897,-1958863682,-398459074,1048577069,1946172854,-1224292859,1474887744,-19207681,855708136,1036034752,-1573010269,915094977,914964475,149438643,-385649664,434765381,-166546177,37748998,-469105803,448024771,-851535174,1555716129,169987328,113689536,-1174389324,12075010,1931595069,-247863279,4275612,-1917188491,116516916,-661929059,1079582345,-849936200,-1089042143,-1056011968,1140897856,-494919219,1528203392,-2146601920,4241470,-323352972,41478456,1079582347,1036127883,1036261003,242600491,-2147391256,4242238,244016501,-1910620734,-1271028450,522308927,-930392718,1048596963,1962950747,-1136754681,460587072,1049350539,447757764,-1526297082,128905789,117310837,725695924,63605713,-1992440818,993903630,1916649998,18081804,1086013056,-351243008,1530822799,125042752,1035222656,-1954450432,-1270851298,-1021194946,1036074624,-1594329856,585645500,-1959496702,993903646,1966981662,13297673,-1007091084,-1910580429,-952261346,520100359,1036257023,1085736646,1085907200,1036256771,20776306,-401968128,-696975200,1085881987,-1954712576,-1958742498,-1958690546,-2143240426,4240702,750006644,-506453555,-506338864,-506338863,-838144304,-852839343,-1125547743,-773224953,-790179615,-790179610,-2132356890,-703987499,-2091256438,712900859,-849935944,1107474465,-896806349,-804576819,1140897948,-1269685811,1512164670,-150243939,1962967234,2025477,117376235,117325257,-1007141439,1073094283,-385892120,113704968,15817,-1615139605,-851332033,-1230978271,115888189,104486912,-960283210,4242182,1036009088,-385649664,1156055171,53012481,1048581749,1962950747,-1237417969,79298621,-966888395,21018374,-2143485512,4241214,1018430581,-1615148749,-1172189889,1021850846,-1556188433,113655798,-1962852928,1140898008,378020301,-1024049160,-1607306112,203701692,-1130362507,-1207563712,2048422976,1946724384,1140963356,-897518030,-132741088,-350106305,-965350644,71351302,1085607552,-1220640764,494207040,1963106792,1530822680,292880448,-399167302,113706139,15812,1085998846,-165770301,-2016857281,-482491378,-1190723597,-1220640704,1517617216,-1910582733,-1271028450,522308928,1916053946,1959275295,-133761325,343179327,1073219318,-2146798304,4240702,1950989941,964344507,1036060414,-2147204376,4046910,512432500,-75284490,-1274774016,-1172189890,1102331807,113648077,-385860160,-768345294,28889479,-2145268414,4043838,1085587828,616767949,1343257100,-1197340636,69490752,138460322,-1606372090,-1073069892,-1707179837,209059647,-1120107073,-538427494,-398071808,109494322,-1073070087,-1964440715,-1674147072,1045937983,-852950856,3964961,1170605172,-1616806911,989626431,1085276788,1086066314,1613504524,-1606527070,646594462,35995649,1958742530,1975794195,-1119977457,141819968,1073350398,116113458,-1004404172,101378256,-1230880579,-790572995,1085645536,1085816448,-1574669056,-922074948,-1073078923,243997044,333659588,856038064,-1526296833,128905789,-1991309963,-1153579970,1048592027,1946172854,1054980867,-1958848322,-1187013570,1017905160,-1979550401,1948269575,-498882047,-1341935119,1946433568,988127251,1060940970,126485109,24387644,-236829782,-1012219854,33834742,-712301963,-1207582077,567098624,-661973390,-851181384,-851528671,-2134706655,1190544757,1064567812,-2147133813,41171710,-897564494,1625980960,-1947735576,96633813,-2147189110,-8386841,-1961396986,984810102,1979604024,4638214,-972690686,1308688454,-8363285,-972720894,-1023410106,-1259533592,1914817851,872057635,1237879744,-1605390606,1187397032,1161429504,-1442482945,16795334,100945536,-1023392280,18118,-167477622,-210500409,33572550,-2147322229,678690876,988094090,544480312,1547188915,-972720898,1308688454,478599986,988589800,141885276,567098292,-1082975098,-529995271,-2147320183,-1593048762,146356966,-2035617024,-997807420,-1426914383,-1012219854,46026833,1067433792,1035275914,984672650,1963017272,103460103,-930465075,1161312944,-1979026175,709314309,-1975857914,1978219240,-412162013,1149967988,-11695105,1489052240,104469109,74791653,149677066,988089914,-318111115,868440408,-985757248,1086890560,-1975465566,861379832,-135746359,1007908326,1022784544,-2030930935,172017926,-370510656,1048576291,1963016068,-444667901,91603770,-343879808,1963801812,17099011,1034356282,65602421,943370753,-401378028,-391380672,1049166140,113656005,-385859385,1049165989,113656005,-2147467065,20939838,518528885,1343911399,37598624,-398799610,984613136,1476463592,1086668425,1086785222,-452576768,-32934598,-968833018,-12531962,58015548,973262720,1966791174,47153201,1087716992,-351963904,8382757,1048577972,1946173640,-1342000126,-953800129,-2031455680,-2046172191,12249313,-136126074,-1293360762,-2145290778,1048577231,1946173653,46659077,1049186165,117391557,113656005,-956350265,4245510,-1409250328,1065631360,-402426623,-202840932,1009939685,976122893,1950197510,1958951464,1966750756,-2076278769,91554367,-352296984,300631762,-1157671191,1139358013,-559093272,-107126962,1072385731,-2130587776,-394264371,1011279274,-1341557491,-847140352,-521453568,-402641944,1460069444,-1090056623,96025338,13467904,1974399552,-1736437,112831,-401874733,-1341694119,-1654674944,1101710328,1086785278,1173699,911563,-1008381720,419874606,-352320965,113716743,80665,-1957342468,1347637740,503731799,465504014,40799035,7768894,855819651,31779035,1948597420,1958742550,25749509,-1947667733,1577524993,1499158623,784554589,990906054,624733184,976151412,1950014214,104476232,-411813156,-586794450,776107066,987629114,809253748,960249714,809253751,-2094133387,3871806,817104757,405178414,-1590800325,179911444,1524758272,-360647118,784466736,-348449629,113651372,-352240880,243281572,-352240879,786375836,988022330,976100212,1950015750,104476189,527710946,-486131154,-400133062,1474887998,113716991,1063702,-953258773,171644422,-396104960,-1031143143,-402599448,938017054,182998783,787647233,991170187,192203019,272531502,57999419,1442850792,1958742700,11069445,777975531,990920320,772568064,991170187,57985291,1577060328,-385819160,-768344330,-1073042346,-347995276,-903127304,1743258486,-1226259712,868387584,1048587986,1946172177,11003907,-1959897517,775624246,991170187,1577061352,4253787,-385835544,1347026614,-768359797,-661915913,-2013857960,-1039445798,1392997464,1543497704,-2144465941,3870782,333972341,184254464,-1014824078,-2020987386,-397331584,-1017577454,192858379,991469614,321617,-1007033767,2147451306,-1023314885,-2026169415,1959734223,-1959898122,507189534,465182478,-851397573,74587937,427083835,-1559851474,883538493,705099302,108330763,-1158882840,-605472573,1455643621,-1014762613,847986178,-1017244533,-1573994445,-1574028528,-1557251311,548420372,991470126,195,0,858927408,926299444,1111570744,1178944579,-1879026907,-164391117,542319934,1983092992,1815684415,866189412,1064976248,-1409264859,155155507,221491968,1952530954,1713399907,543517801,1936943469,224882281,867631114,1850280461,1953654131,1936286752,1769414763,1646291060,1751348321,1818846752,1628048741,1881171054,1936942450,2037276960,2036689696,1701345056,1701978222,226059361,869269514,543449410,1835888483,543452769,1713402479,543517801,1701667182,268438029,1886733364,1633905004,1713399156,543517801,1701667182,544370464,1701603654,1953459744,1970234912,168649838,1177824512,543517801,544501614,1853189990,658788,1632646231,1847617652,1713402991,1684960623,1778387469,1667449140,544437093,1768842596,168649829,1228176640,1718973294,1768122726,544501349,1802725732,1634759456,168650083,1328844544,1864397941,1852121190,1869769078,1852140910,1886593140,224748385,883621898,1701603654,1701995296,1869182049,1919230062,225603442,885522442,1701603654,1851876128,544501614,1663067490,1701408879,1852776548,1763733364,1818588020,658790,1866675424,1852142702,1718558836,1936024608,1634625908,1852795252,1936682016,1700929652,1701998438,1886348064,658809,1850291462,1768710518,1768300644,1634624876,1864394093,1768300658,1847616876,1713402991,1684960623,838863373,1681466677,1818838560,695412837,1886348064,224683369,895025162,958742398,1766203492,1932027244,1912610857,624919861,543452217,1702132066,1919295603,168650085,-2026536192,1228900671,1818326638,1679844457,1702259058,1701868320,1768319331,1769234787,168652399,1127586560,1701999221,1679848558,1702259058,544434464,1814065006,1701277295,1635131506,6580588,1951610299,1701538162,1797284128,1998616933,544105832,1684104562,539893881,539893806,1228267008,1818326638,1881171049,1835102817,1919251557,-16774643,1853182773,1416523597,1700226421,1969771620,1399419462,168653921,1635151433,543451500,1702125924,1127623168,1701999221,1679848558,543519841,2126697,168638011,1702129221,1701716082,1633951863,2123124,1831351886,1684286829,695826733,1644175418,1684285494,762146093,975796601,913375264,762935592,1680698733,540682596,221675520,1986939146,1684630625,1835627552,-1895817115,1920287542,1953391986,1835627552,1936269413,916520992,1850018317,544367988,544695662,1701669236,-1275060166,1701986614,1970239776,1920299808,1495801957,1059671599,540461312,1380533308,538976318,1127669504,1095781711,1699749969,1852797810,1126198369,1970302319,544367988,542330692,1936876886,544108393,778315040,2122789,1066088171,1126514573,-1892213248,1867915327,1701672300,544106784,1986622052,1663377509,7546144,1066546981,1936277392,1634205728,1869488243,1650551840,1224764517,1818326638,1679844457,1667592809,2037542772,1392511501,1634620727,543517794,1663070068,1952540018,1768169573,1952671090,226062959,929628170,1635151433,543451500,1752457584,1869488172,1768169588,1952671090,746156655,1919879693,1919509536,1869898597,1847622002,1696625775,2037674093,-2013263347,1937067319,1886593140,1718182757,1313808505,544370464,222709327,935395338,1919501344,1869898597,1864399218,622862438,658771,1066612700,1344302926,6845537,1095776244,1346193492,1347243858,1329806676,1162892109,1850293571,1768710518,1919164516,543520361,1931505257,1668440421,1634738280,168650868,1228411392,1818326638,1679844457,1667855973,658789,1632385075,543974754,544501614,1853189990,658788,2035497030,2019652718,1920099616,168653423,221796864,542265158],159,[1,1852727651,1,1646294127,1,1701716069,1,1684370547,1,1795164685,1,1936607544,1,1768318581,1,1852139875,1,1701650548,1,2037542765,1,-2063594995,1,1953384760,1,1701671525,1,1952541028,1,1768300645,1,1696621932,1,1919906418,1,1920295968,1,543649385,1,1701865840,1,-1660941811,1,1851867960,1,544501614,1,1646292836,1,1918987881,1,1701978233,1,544433249,1,1836020326,1,1679843616,1,1667855973,1,658789,1,1380071621,1,541802821,1,2126697,1,1163278574,1,1497778514,1,544434464,1,1161361920,1,542066755,1,2126697,1,1718565127,1,658790,1,1852782866,1,436210189,1,1986939193,1,1684630625,1,1952542752,1,1919885416,1,1818846752,1,1634607205,1,168650093,1,1228480768,1,1818326638,1,1847616617,1,1700949365,1,1718558834,1,1918988320,1,1952804193,1,225669733,1,960430090,1,1869771333,1,1920409714,1,1852404841,1,1869881447,1,1986356256,1,224748393,1,962592778,1,2080377357,1,136316985,1,70877440,1,1244814107,1,1142013250,1,-1354422738,1,296961809,1,1276224840,1,-749858376,1,299847697,1,1410444113,1,928390879,1,379543313,1,1163300,1,1414483459,1,1158285249,1,1380930130,1,1163281740,1,84444492,1,1397315653,1,530516,1,1380533251,1,101486851,1,1095648594,1,-1073658547,1,1163002639,1,264241486,1,1095910661,1,1744913747,1,1162085135,1,258474316,1,1348031492,1,272105797,1,1296388611,1,67175426,1,1498435395,1,86401283,1,1398096208,1,257622597,1,1413563396,1,499712581,1,1296651268,1,516685893,1,1380275715,1,51457536,1,21778262,1,1124208856,1,366674244,1,1145586437,1,-620670391,1,1145897493,1,85335553,1,1229212493,1,371065170,1,21254658,1,1376065122,1,1380533325,1,85352961,1,1095062082,1,627310667,1,1380275718,1,5850697,1,1392715158,1,-821930939,1,1380976147,1,1414548815,1,68400386,1,1213481296,1,68306946,1,1414092869,1,68388608,1,1498698819,1,68362755,1,1330135877,1,69542146,1,1330925383,1,84474370,1,1179207763,1,145949268,1,38160642,1,1174603633,1,469914191,1,1279460107,1,313983059,1,1014776064,1,690496574,1,1313407017,1,757747524,1,1634487339,1,1396917370,1,775892568,1,1882077740,1,1127116409,1,1160662351,1,1110328664,1,1112953921,1,542593089,5,0,1,655360,1,1040187680,1,892680458,1,942682672,1,1954112032,1,1713402725,1,224748914,1,1869488138,1,1650551840,1,2037410917,1,1751607666,1,1766662260,1,1936683619,1,544499311,1,1886547779,1,959520814,1,942420280,1,859319346,1,741619756,1,538981688,1,1862929696,1,1769109872,1,544499815,1,1347243843,1,1126191425,1,1970302319,1,-2139986572,1,543449865,1,862873975,1,865848,29,0,1,159383552,1,1998611555,1,942894697,1,3382,29,0,1,1547322112,70,0,1,-1677499392,1,789145608,1,-1677644452,1,-1677506296,1,16777224,1,512,2,0,1,-33554432,1,16777216,1,536871425,1,758325280,1,825045041,1,824188982,1,825375282,1,112,14,0,1,33554432,1,538985539,1,538976288,1,2105376,28,0,1,16711680,1,0,1,1230439184,1,909652814,1,538976288,1,4128,2,0,1,1214931627,1,33,12,0,1,137,1,1917190165,1,857743465,1,758198573,1,909193266,29,0,1,23210,1,15819,1,0,1,514,1,76368,1,1040187392,1,-1706870970,1,62,75,0,1,105258240,3,0,1,-1694498816,1,1134231619,1,2,1,1134445979,1,105094656,1,-1660944384,1,69,169,0,1,33554432,1,1660944384,1,1769406564,1,909652846,125,0,1,1660944384,1,1769414756,1,909652846,1,13,28,0,1,-1526726656,1,1852405571,1,3553331,30,0,1,-1543503616,1,69,79,0,1,334168064,1,70635,1,65537,1,924924699,1,925055771,1,-1686529159,1,-1686555851,1,-1686568446,1,831586306,1,-1686529159,1,1066416131,1,167842795,1,458753,1,939735935,1,29,1,-1686529159,1,-1686568369,1,583,1,36,1,771763200,1,973090048,1,131072,1,23991779,1,44,10,0,1,604635136,1,0],184,null,192,[-349132203,808728374,842151984,875902258,692267040,1498435395,1212631378,1112088660,1866670157,539914354,876099889,959520812,824194616,926035760,1429616687,471764526,302102535,281883315,1074186234,-1945706240,-956284402,-469650426,-1240560634,134661889,-940546815,68102,-1475950608,-1945778684,-955995634,-1929348090,2114882619,201770752,-1942516479,-83816946,76089030,-2029599215,1810391044,-390399488,1488966,16956143,-285212232,-1203312454,-1158742002,-1070380312,118422511,-1157385025,116790786,1963066503,64274182,-1995029829,-402365634,-1070460839,74705134,216591667,33220609,-167606808,17074438,-672660619,75294723,-2002587612,5761028,-2097004312,41026301,-883045541,-860225353,-31134717,-301743430,-1511467854,-1341426431,-2145339645,33851150,-860218645,17624067,-301743430,-1981238094,-1340377855,-2144291065,-50034906,76097152,270958846,1040764676,11797520,-154975539,17074438,243275892,-167639929,134514438,116788341,1963197577,-2027519995,116849924,1963066503,537508615,99287984,-1339028549,270958599,1040764676,645923856,149947528,-1979414498,-2147186914,-150698202,76103306,76097152,-855591682,31948816,76103176,1946731510,-1996032461,745865476,62588848,-2029586896,91488772,96142256,270958624,1040764676,645923856,149947528,-2147186658,134514446,281870516,1662421955,113410052,-1342176837,-1337727440,-1270815232,-322358526,91490472,-1511392798,-1460864512,-502958840,10152441,-445264642,1088815280,-1460877005,-470032375,-18152,-519984916,-334568453,192219304,-136314456,1967326179,-1334842392,-465312256,-337606080,-2042567680,-75367456,1517748634,25623425,-1942137742,1028616814,1249347357,-1610565380,-13385586,-1207949127,-1410072577,-1062006857,-1327855892,-947196366,869500654,816377033,-102628235,-919396117,1949346028,-335945212,281509909,1967128448,-432623401,-423613885,-436147392,-1157905600,-538443517,179458,263251947,1124053998,447762668,-335483922,141892156,-336714320,-661984256,-75436456,12108581,-1145008480,12484608,845824,62523764,44361729,-1023409475,-1431652100,-13382773,-880038925,-1342963917,1438125941,868977493,-1951665153,-201378869,-963928913,-13382773,-1013077005,-1899626312,64274112,639928870,-1171782458,522060756,612902636,-1211946948,-2029586937,41222660,11733175,76089078,-1290636031,-2029586943,158597636,-1008205133,-1291684353,117237766,-1023112542,2112363188,9365504,632556149,-402623512,158597252,-402586694,45941266,63355392,-1259470672,5957632,-370671436,72662542,-402652743,544473202,-1190899522,1743257601,-2145029120,134514446,76091008,72924678,-402651719,518717522,76097152,69779195,-402651719,250282050,76091008,71089670,-402651719,158597170,-402586694,-981270098,-927284479,-301944829,-1174208327,-997588023,-503256082,-944061445,12185091,63552003,1975794412,-1007033854,772049454,771843210,1359109258,1493193192,772064899,1979663418,-1008344574,269751316,1315885,1322260,2954260,2960685,268702212,266782,273668,1381892,268435456,268702212,269619730,268698628,263184,266244,1049604,1052688,1662421840,113410052,-919340406,145288442,-919340064,-519526164,-1174359813,1491993544,-301741638,-997588757,-1979651090,-678760765,-1460877005,-1292115967,-335483966,-1336930268,63486464,-1174344722,-336722999,15461888,-1017578514,-1162346305,12256216,-2029586912,158663172,-1162870593,12256184,-1597534712,-148634523,119586542,1962805736,16955913,-1124032024,548929538,-1174457488,-1410138072,-1274887552,-621117432,28574324,585943347,-503024188,722070521,-1004344119,-102626444,-402586950,45940846,-771510016,-1159891476,683213784,-2029586944,57999876,-1207715654,-13433056,1705028595,-322703868,-1308617543,-1157581632,-997583259,784662254,1139672970,347141346,-289393938,-1007804240,73602699,-1291402624,-301879102,-628752149,-799005460,-2032104728,-301813549,-628752149,-799005460,-1010562336,-317982052,-768408972,343209482,867763635,14870533,-18691789,-260714754,-18691789,276091402,867762611,13297669,-18691789,-260715778,323142557,49152,0,0,98697216,49152,0,1703936,-1073739053,0,0,0,0,0,1397759739,-1909566895,-2147017698,17104958,113664884,-1275001600,-1978610417,-2077324596,-389677564,-1269759915,1494273283,-1261292718,-1273967358,168873224,-1342016064,-768388576,399369266,700773978,-1023532683,-545928646,-494218702,2353234,986119770,1523611118,281871028,83887814,1510664960,281871028,83887814,1532582655,869211992,-1327222062,840420621,-854937372,-1229929705,-1047903258,-980794650,1642349286,51175562,-919379482,-872481054,-997525387,-2101124634,790534170,-1893763041,-752900065,-48060641,-1977146076,1160395561,-30211278,-1274538957,775248171,322216712,319230727,319230727,755438343,-1593115638,-814887668,106298619,1397838366,-1974446250,-523134780,-2091323253,175323902,471764526,-1526780409,1583285927,526014811,1120754951,1593895887,1515805534,-815986913,-1610612736,773765120,119283342,73602699,520536704,512634563,516163356,-1004141400,-1957248225,-772877840,-772877842,-772877842,-772877842,-2115579410,1929390334,-1526780371,126224222,126224262,128845702,128845742,128321414,128845742,128845742,128845742,128583594,128059298,116787118,1963984009,76062745,54267684,154932340,-58716044,-351570937,61902861,45091563,28313323,11535083,116835166,1971324039,-1207911879,1006913952,-1173719546,121417728,12190580,-1144877408,71042848,121374322,-617938316,72093323,12128483,-1593933696,1085604468,-13909109,-1950110733,600212467,1053034014,-1004141400,-1064565635,158648075,280567327,1185215232,-1021376604,71968394,73547402,604276640,1225132672,1499356932,119495257,-75444387,-2143456240,1903436027,1966144384,-1871058173,1966209920,17688835,1966275456,18606339,1966340992,19458307,1966406528,20375811,1966472064,21620995,1966537600,28043575,75972234,-805116032,75997423,-388997084,-388962096,-388962096,243980426,-376830840,-804265600,-789720851,1609421037,1515870814,-815986913,1793703986,113769214,100401172,1445516,-27530757,75958006,-152734456,17074438,3952245,116789109,1963066503,-1157058349,686550784,1976106640,-1156993007,116846336,1946289287,-351555561,-922841069,162574965,-152104773,33851142,196084340,76103200,76094984,76031616,-2012870416,-1874990332,276103228,-2135226192,-2029586705,-596377084,-655684688,276154622,12257712,-2029586833,-931921404,-991229008,-1888106242,280693168,-2029586833,-1267465724,-1326773328,-1092021584,1963015421,-1995538425,-253032444,1215627324,76097152,-1159336969,3950312,246416757,1020914670,842102017,-789844288,125108540,76097152,1019603965,-2145553152,33851662,20757227,243271541,-352254841,1962949807,-2027519993,-1528037884,1659486258,1975519997,-1996032489,-260751356,1120763916,76089078,-387615680,-2064973781,-596377284,76089078,1020621888,-402230014,1877540887,1963146495,-628360505,-1174145304,246433512,1542061038,-628360449,-100425240,17309380,28581513,28706444,17303239,244057828,-1157955318,112215784,-1262224402,1946237984,1006679046,-402426624,602474576,1946172671,1946237958,-1608717546,1508377738,7792640,1499029087,1560747866,-389080400,-1969094642,1595584516,1515805534,-815986913,-75050101,585679755,47872,839682598,80118765,1946172198,272311821,-1014822796,-1326325246,-338639873,-993803382,637839414,1094852,45401126,-286735616,70919935,-4520846,-964443137,-773574140,653263840,-75490165,-2046659328,-8338465,-1609075712,807666704,125055036,1963049974,-167253241,41222595,281272198,2049,65536,66050,66564,328197,84279558,17301510,34013192,839321095,-65541696,-143271157,-1861892314,642205452,1195838860,-1190901314,-1527578594,-1979415362,650182148,1195771272,-218103111,76193956,-9771002,495461895,1032332871,839141792,-772764700,1439072742,478883340,495527495,2100727111,787481356,642194570,-997843576,1207690216,-1174042586,61866948,-1964227858,-461352736,-789786608,167978220,-2010757180,-461350907,-789786592,619499756,-790048756,1204030184,-1341814746,-74520560,-400575256,-461365292,-790310904,75997412,20185380,-523107151,646628362,-461372279,1204029967,839223334,-2010757184,-2010757371,-2010757371,75997189,95510564,642246866,839255432,-1474378551,-1004141052,-1064565641,57984523,117623168,2009343494,197168136,-2147257146,101123273,209175590,-972308340,-914357388,-1004140792,-1064562569,796182027,652118790,-1945733180,1959136192,29982723,-1004141049,-1064564105,57984523,118540672,41403430,-879968116,57983803,119589248,227026503,899399,-1426866126,-1092019280,268439802,268439552,67109888,512,0,0,268435456,4096,33558528,4096,134744065,16843016,8,67633152,16843266,266403585,0,-16252409,1056964622,1962949632,1007872770,-352160511,1963080792,11135311,1525226672,2144506,-1040723405,1014235143,115191,1174734452,13796096,180727,973407860,13796096,311799,50660980,13796099,-150978373,16417779,-1958739596,1482579928,1515789488,-815986913,250151088,-2083288070,-1040768830,477364225,-1993977007,-2082829545,-1957542206,503604030,505318958,33875975,1499159071,180727,1397822068,39291174,-1031546229,1541952058,1499159040,311799,-1993951628,-628423593,73612939,-402526744,1474895380,29489151,1360098304,529213011,512634398,1290274590,1499143939,180727,1397820276,39815974,1526750952,79820633,638481408,-1962647669,-402365634,468255567,-10163713,-1594127610,807666704,1191544870,71906957,-218095943,-2076799580,506116,915252467,-386267992,915210350,1743257620,1949732096,6350848,8140429,-1929356824,-402584522,133890130,126494403,68167296,268830927,-661912060,-208986362,-1924743026,-1190901442,-1527578594,75775629,-218101831,-1472295516,535362052,339643648,1632256,7618189,-1929375256,-402621378,1049427978,65536268,-1022887168,-218102599,1347797924,314096976,-788525275,786957280,1476423307,-466434938,-402399023,7244590,323153281,1566104835,1946172611,1946303507,1066253590,-58716489,-2146142969,267092171,-1221096003,-1123489016,280448698,-1182741632,12189952,-1021374976,-1065336832,-526360544,-754601647,-1064412702,-208930165,517761,-1934325202,64107022,-1946842118,717720298,1359864804,-1527527285,-947652565,-203269856,1954595830,169118238,840463570,95506934,56222419,1190824917,-1527527285,-947652565,-1008538848,851740246,787516388,252150922,-422449013,-8090834,-3973618,-1925739009,5159487,16777216,50331905,16843009,33685761,1342243587,851740246,787516388,252165248,-1017618944,-402602008,-337117097,-2133357824,-1014823230,113955,-1021314584,-1191179032,-13434624,-402406525,-1950146650,113410263,-1329548564,-285565932,647883842,-1170126968,619447239,126363137,-927284090,-469046269,-922877324,21465126,-335296838,38242342,-994421821,96699139,-1342176071,18016257,-322129317,155682854,653052594,-1962653816,-1014803497,1685770,-169295822,-678733056,-1677278592,-1303188230,-300896064,-2010715070,-329632953,-1329548718,-331157998,893880358,-1062015910,1122898864,-2010735124,-1303169465,935560142,838863289,11987136,-1993948325,-994426753,-2010715133],193,[64272903,1200105196,63879681,1200105196,-2133357822,-1158936894,653001664,-1023195256,-1341930310,-285565950,1347087426,-284228936,1122895024,-1202697492,-1292957948,-301551410,1347087426,-284948808,1122895280,-1202697492,-1326513915,-331158012,-4304822,313087,-285211464,-2010774390,79184455,76214017,1128761382,-285080392,-2010774390,79184967,76214019,1162315814,-1329297832,-2040991996,-284839740,-1329297832,-994906362,-1329297832,-2040991996,-285036348,-90389603,-330284306,1476888614,-1057076579,-294303421,16574659,1082100518,-1962909464,113410263,71797286,-1014803474,1095971,29228851,506587136,11593819,1200236227,63355394,12146670,1409233665,-1174158461,-689438720,-396403939,-1950154751,113410263,650162924,347088778,1200236271,663365121,108323850,-301742150,-927333141,-1161564669,12059588,-268788735,96699219,-1342176071,12969985,650293851,-301381750,12108978,-1952583933,840020183,-2091651100,431557315,-390057472,-1956970333,113410263,-319120302,280019122,1200236270,313585203,1200236270,330362421,1200236270,1402859062,-1014772046,637239,1894301746,-1017488640,637781178,-1158805622,-1977220140,-1158807225,-1977220146,653132359,-2143266933,-1158936894,-1977220160,-1007811769,-1207712582,-1292957948,67549390,375023,-16657,45663410,-1977159936,76038727,-285146440,1128761894,45614216,-1977159934,76039239,-284949832,1162316326,45614216,76214031,663365315,1136721647,-1007258295,-994422192,67287043,117749999,-1194413329,-1192296443,-1192295418,-1947270652,-253591343,-334837120,11583666,-1017619730,-994422192,50509827,50641135,-1194413329,-1326510075,-2130004986,1946399993,-284249086,-285211464,-1161602982,61866948,-1007688822,1006668326,973567231,1174762692,-1007029525,-994393096,-301879293,626060354,-536207137,-285102006,-1010530728,65537,65537,131074,65538,3,0,196608,196611,196611,262147,317199040,320606986,327291714,335680450,344069186,5314,360841216,369235394,377624130,5826,0,440532992,406984706,415373442,0,352452608,0,0,0,394395648,419567554,423762178,6466,0,356653442,0,0,0,0,0,0,0,0,432144384,405281282,151519240,1661075459,-1876416723,532652075,117884672,0,344952476,-1548118497,33620223,100992003,303108103,370480147,251660311,0,235929600,405339904,151519240,1661075459,-1876416723,532652075,117884672,0,344952476,-1548118497,33620223,100992003,303108103,370480147,251660311,0,235929600,407961344,17825800,1661075459,-2108666017,532644181,117884672,0,680496796,-1548118497,33620223,100992003,303108103,370480147,251660311,0,235929600,407961344,17825800,1661075459,-2108666017,532644181,117884672,0,680496796,-1548118497,33620223,100992003,303108103,370480147,251660311,0,235929600,405339904,155189256,1661075459,-1876416723,532643883,49408,0,344952476,-1564895744,353566975,100925975,303108103,370480147,50331927,0,254803968,405339904,155189256,1661075459,-1876416723,532643883,49408,0,344952476,-1564895744,353566975,100925975,303108103,370480147,50331927,0,254803968,407961344,20971528,1661337601,-2108666017,532643924,49408,0,680496796,-1028024832,387383551,387389207,387389207,387389207,16777495,0,218103808,407961344,1048590,-1509752829,-2108666017,532644181,202067200,0,677217667,-1548066035,134742271,134744072,404230152,404232216,251661848,8,168820736,407961344,561840144,1661337615,-2108666017,532644181,16384,0,680496796,-474376673,33620223,335873027,976828423,1044200507,251658559,0,83886080,65295,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,405274624,4194312,587399168,925706039,285480241,117851904,0,348595425,-1544495096,33620223,100992003,303108103,370480147,251660311,0,235929600,5308160,687865856,1644560399,-2108666017,532644181,16384,0,680496796,-474376673,255,0,0,0,251658559,251658240,84410368,5308175,687865856,1661337615,-2108666017,532644181,16384,0,680496796,-474376673,255,0,0,0,251658559,251658240,84410368,405339919,153092104,1661337615,-1876416723,532643883,49152,0,344952476,-474376704,33620223,100992003,303108103,370480147,251658519,0,83886080,407961359,20971528,1661337615,-2108666017,532643924,49152,0,680496796,-474376704,33620223,100992003,303108103,370480147,251658519,0,83886080,407961359,92274702,-1577058289,441864032,527491152,0,0,341651038,-1955701248,524543,1579008,524288,1572864,83888896,0,118489088,407961359,92274702,-1493172209,391335771,527219280,0,0,341650270,-1962254577,65791,459776,65536,459776,83886336,0,118489088,407961359,25165838,-1576665073,-2108666017,532643924,16384,0,677217667,-474324209,524543,1579008,524288,1572864,83888896,0,83886080,407961349,25165838,-1559887857,-2108666017,532643924,16384,0,677217667,-474324209,33620223,335873027,976828423,1044200507,251658559,0,83886080,405339919,151519246,-1560150013,-1876416723,532652075,202067200,0,341673347,-1548066017,33620223,335873027,976828423,1044200507,251660351,0,235929600,405339904,151519246,-1560150013,-1876416723,532652075,202067200,0,341673347,-1548066017,33620223,335873027,976828423,1044200507,251660351,0,235929600,407961344,17825806,-1560150013,-2108666017,532644181,202067200,0,677217667,-1548066017,33620223,335873027,976828423,1044200507,251660351,0,235929600,407961344,17825806,-1560150013,-2108666017,532644181,202067200,0,677217667,-1548066017,33620223,335873027,976828423,1044200507,251660351,0,235929600,405339904,134742032,1728184323,-1876416723,532652075,235753216,0,344952476,-1548118497,33620223,335873027,976828423,1044200507,251661375,8,235929600,407961344,1048592,1728184323,-2108666017,532644181,235753216,0,680496796,-1548118497,33620223,335873027,976828423,1044200507,251661375,8,235929600,407961344,1048592,1711407107,-2108666017,532644181,235753216,0,680496796,-1548118513,134742271,134744072,404230152,404232216,251661848,8,168820736,491847424,27262992,-486146033,-2108666017,1040941140,16384,0,685739242,-1023088896,1061093631,1061109567,1061109567,1061109567,251658559,0,83886080,491847425,27262992,-486146033,-2108666017,1040941140,16384,0,685739242,-486217984,33620223,335873027,976828423,1044200507,251658559,0,83886080,405339919,18874376,1661861903,-2108666017,532643924,16640,0,680496796,-1548118464,33620223,100992003,168364039,235736075,251674895,0,88080384,609287951,1477655679,609228919,-2027519872,101220100,609748103,1225144959,-385452796,1860763798,-1996032276,57999620,-1979676183,-2130409442,771756003,512270218,378272650,121373795,255605108,-92195468,1752433620,68167306,-2144279424,527708412,75966080,64273149,-1862272128,1049251444,-405797751,13861109,76097152,-1338971265,-2126910713,1946399994,270961203,820281348,1966144640,-2029092827,-1262878204,-294909,-2145815408,645955815,142541961,-2147186370,-268138458,76029448,11535083,201771002,-1942516479,-83816946,75966080,71934707,68167306,-2144279424,1702179068,75958006,-1172868094,255591348,121402228,113667956,-2147023799,2131003174,113665003,-954727292,235177222,71933952,1120731316,73402055,243272460,-385350521,113699709,-954727292,134513926,71933952,243269812,1007158407,1007252993,-2147126524,67405582,1458127565,-2029586709,-764083708,1006884026,1006924815,-972393209,280838,75966080,1662421375,1309067012,-973078524,287238,-1090516807,119407696,-1410088917,71902858,-387234840,904457011,126494450,1252254762,1200236036,75801089,38242854,637830563,-1560066165,-1960442804,-997845945,-1962647389,-402365634,-1070402311,-1158874386,347079616,-289393938,-400509701,-162466248,134514950,381233525,-1107348736,-2091712511,-907533373,313911530,-342628261,71902858,-1964320792,76128472,-389020124,-401481752,-396825796,646641152,-1696070583,-951094030,286726,-228792320,-100594501,1334577033,516225794,-1004141400,-1064563617,729072395,-1979709506,-402372314,527627706,-33060314,75801288,21465894,-100366941,55020326,637602979,-1559935093,-369426162,243990770,870843491,1227262709,-362878972,2028470451,-1610565391,787589608,119283342,78126788,140493862,-1022639988,197018740,1227262464,-178198524,-1977206670,1200236071,1334519297,1468737026,1871390212,1603151366,-1957493240,-1610565416,-386831896,123410878,172460582,175439676,-1909536514,-1576592354,516162692,-1004141400,-1064562593,1752482571,106939430,-1022639988,129916532,1227262464,-184227836,646599282,975570053,642348327,-1977210998,12124487,47617,57641766,90148390,-661957882,-1199578240,65576960,-1341694991,63224323,1256997614,-930475228,21465638,-523181872,-456073078,-461370332,182454816,-284970783,471764526,1661897479,-193665020,471764526,-1474378745,1606690308,197168144,-352094781,-1004105609,-1064564129,1819591435,-1979706178,-402372314,1618146426,72321830,1392909283,109021990,140493862,501804339,-1996032279,58001412,1527841512,1334519303,102753036,2139825747,1606690318,-1995011568,115507204,116845264,1963459721,278915075,-1977219237,1958742535,-1979156461,-33258202,-1274876980,-1961578465,-284925162,471764526,219604999,71908992,-1155631353,1235230336,65284612,126496472,-1341889118,1228832816,41223684,1721909168,-392959740,690825260,689843754,-1,-1953759233,1212681099,-1,-385874968,243918965,116786272,1963459719,616925731,1965046880,503363845,116791019,1963000967,1227262479,-262674428,-2053110155,452612,-1981281616,-1040727296,1450565856,-889270134,-822152566,309513530,-519379574,359915578,1047841338,980741690,-109048853,-1976339456,-338852118,66682925,-443930506,973259904,705721057,-1964375319,2081307850,32080149,-2146440447,74908413,116116106,-305076086,-389821814,-555155453,852462311,-1948134931,1351911921,1648244740,-1962576636,125122,1566915,235128971,-103742386,378212016,-443939741,-1967063313,1405349857,-997533557,71968502,-1023148238,-1017388847,-13443190,-1752439855,243991632,1583285344,525883483,-154182393,134514438,-1070922379,-1259898647,1598213380,113541982,-815986913,-1962646878,-1744548850,-1545472176,-930413490,71908992,-788367609,-401821447,-782499948,1351060451,-8525820,-387497751,988348419,85125351,71902858,-288231285,-288231727,-288231727,-288231727,-422449455,-1867216082,-2115579630,1929382654],194,[-1795215867,113451015,-1491070688,-148820192,-388462047,-1047852535,-402632216,1405288449,-75436750,53572608,719751920,2943203,-50072317,-176829186,-400510888,-50135001,-143275010,471764526,1228832775,125044484,-1174116960,-1007811624,-588521846,1465305738,1583326707,1472891587,-1017140237,75958006,1376941060,-625867850,145288272,632355700,1492048050,-18880422,72222211,-259262325,-956378837,780911358,-318569398,653706122,-1073544118,-1966924026,158591192,350798219,737708805,29524433,-790179839,1228832998,74647044,-405675312,-1023409688,-315482362,-472849456,-1014355084,-453619532,-268175477,-483727734,-2130698520,-2128629522,-31477521,-1963887156,2549959,531689345,-176829442,-337737021,1456114414,1604645719,13009246,13074720,-1973987808,1604645834,-896875682,1605038935,536921985,-204830121,-1966907478,-1610565416,-1047805810,1648265811,87681028,737708891,29524433,-2060547327,1242467076,124932,-1977678141,1390684867,-503847433,-268175477,180456282,1345287387,-886387062,-1957499598,-1947863103,63879880,-285145672,45663410,1482354447,1375736808,63879760,-285211208,417880664,-561331456,-1974339349,1458385610,1604645719,66061150,-287155720,720865987,-1957539585,-1947863101,1347967704,1476398824,1967912963,63224566,-284228936,-994422077,251836419,-1070900497,-315438454,1605038935,-1168972150,45089732,-5219601,-212350326,-1966907478,-1610565416,-1047805810,-655863213,-1956947452,-2116998152,-1962868286,-1962638034,-402372082,113442817,717457951,-436776220,-523116041,-523116335,-268175477,180456282,1343714523,-886387062,-1957499598,-1947863103,-396862776,652738568,-561331456,-783222549,-773795360,-896904736,-506335950,-506338863,-1527556266,-268214689,-497420285,-1966909208,1358899959,-138179758,1524141029,976984,-773795504,65065440,1968720888,726713328,852134592,-773729811,-1964912159,-1426892858,-389851041,1726545923,37677284,71902858,-288231285,-288231727,-288231727,-288231727,-422449455,-1867216082,-2115579630,1929382654,-1795215867,-624745765,824370466,1076074019,-661979868,-1962461976,-42145598,-1023409688,-2131938733,829686011,-427102165,1474880298,737487869,1976368893,548428021,738022120,1976303357,512634615,1048577820,1946616905,73768967,-301737798,-337737021,-661979684,-1962481432,42592450,-785647477,16892545,-422517040,71908992,-804949242,1206374882,-1023409688,-315482362,15779713,-472849456,-1014354828,-453619532,-265554037,-483727734,-2114089240,-2128588562,-31436561,-1963887156,-40441657,542175105,-176829442,-561331204,-1963069973,-1610565416,-1031028594,-1974221570,-402365890,727384783,-1962653178,-2116998152,-1962868286,-1962638034,-402372082,113442817,717457951,-436776220,-141827593,-1956974549,1960512193,-829796304,-315438294,-138310830,-1161262107,95945678,-994906367,-284228936,350771290,-1169141248,95945678,1515777792,-67102232,-337737021,-896904713,1465314610,1583326451,-131338197,-1007754663,-13961334,-1014279600,-661920265,-397387686,727252383,-160085000,-1207712582,-1007743230,-1193768195,-1064394752,-989937013,-1930931629,512449026,-472841142,-472783919,117818155,-125084928,-1031679701,780861697,243991685,31982666,520536832,-466959478,-135923886,-773795359,-1948200480,1525689335,-620052085,-1974462348,852175566,-1047833875,-930355721,166221914,2615296,-561331204,-783222805,-773795360,-896904736,-506335950,-506338863,-1527556266,-265593249,-497420245,-1966909208,1358899959,-138179758,1524141029,-38606760,-773795504,736154080,1968720888,-1974418448,-18535706,1491090116,-1070988683,256195,-1595797271,-466484151,-259268399,-1867216082,-2115579630,1929382654,-1795215867,516105503,2032478501,-1322898139,83093542,-812978894,-405669493,72385931,72097419,71964299,-1962926104,1662422007,113410820,75958006,1948190212,27847691,-319095947,-76283480,-13384787,-83688221,-930349854,-487144310,-1056707278,-133963567,77850819,-402370399,-259325885,71902858,-326951162,-387151096,-1909587898,503782430,17579716,-1174404936,146473088,73197568,-1005161953,-1946125250,1959201728,8435724,-1157594950,1139277832,147096324,-661957693,653706378,-523172790,-13967151,-1017396477,1963392128,-1979402727,4622340,8686149,4622368,1355187013,-344600834,-422504725,333972662,13009152,845856,531689089,-294269186,-1022825085,1149904010,-1073694463,-1048248142,-117345032,-372124976,-227284527,1157650056,-1610564925,-208944498,-288231727,-288231727,-288231727,-288231727,-2071206191,753402960,-1947170048,721716510,-1158902813,95945678,244051720,971506762,374784,205440239,47105,-402587462,-486341746,1381061571,-812978902,-997533557,71968502,75835127,-1023148246,72097419,-1023212317,1499135202,643023707,-789183350,1157645960,1967911171,-349479950,-1610564925,1352778382,2222084,512487563,-483720059,378268811,686294090,205440000,47105,-402587462,-486341846,-1965519933,1244067524,-2061043964,-2134703612,-523173676,-523116335,-1219275837,-1176229248,-1977221112,1946172420,-790164990,-220051761,1157654152,-1962348925,-773729846,65130977,1967873009,-349479979,256195,-1965037335,-2147202778,108335612,-2139036800,-259309621,-288231727,-288231727,-288231727,-288231727,-1959860527,-787312460,184451558,772109056,660706559,1797742787,-1708676313,-399953368,-477494607,-315469488,-108277878,-2054428719,512427088,378209356,-639105974,-1956947459,-2096864490,116786882,1946420359,27847691,-319095947,-76283480,-72629365,-389814046,915014257,-466484151,72393040,-1946285336,-2143528712,918881907,116064524,918913068,-25165700,-402296314,65732614,-1023396888,-523116335,-268181295,79058519,-2134640980,-1398139787,-8026074,1338475295,-327823618,-498639010,841401315,648849925,536839474,-523115797,-523116335,-745869309,-478091311,1371769347,-805305415,182505696,-1963400488,1448565243,-391379786,-1021116350,1954595574,624043527,21312038,639993894,-1409202808,587213288,-2134706493,841353844,639631525,536970546,10848294,-2054674912,-947707903,1976499792,1197432513,-1011359161,726880594,113106,-651962229,-523119861,-661921327,-754198237,-327949871,1499185803,-466435238,75835127,-772568240,-772877842,-772877842,-772877842,-772877842,1350863846,-37885948,12253323,-1950183776,-1962653138,-989559530,1476463670,32043011,-1007238400,1376482432,-1207710022,1525618691,1381439467,-1207712582,1525616386,-1957576661,-50091318,1509614159,-994422177,-1327265277,1465577218,-628403885,76205451,639994406,54920584,-227193863,-232039591,-1293793441,-1207710022,-1292959741,251836612,653706223,1397752965,-402370399,-125043297,-1902116678,-1957143614,-1962638058,-989574610,50400310,1464947696,714838,-947691682,-497329912,1431487472,-439228975,-1392712239,-1185423222,-1014366200,41084112,-492124278,-50110475,1575515466,65586010,-578557696,71902858,-288231285,-288231727,-288231727,-288231727,-422449455,-1867216082,-2115579630,1929382654,-1795215867,-1161614917,-1423325911,841521703,5761065,-315469488,-108277878,-2054428719,512427088,378209356,-2115500982,-1956947461,-2096864490,116786882,1946420359,27847691,-319095947,-76283480,-72694902,-1008213433,-1960896772,-1957210379,1604776907,1074426974,1967848195,-121623568,-1094452797,1049344000,-410975216,-8191952,-1107069648,-963727360,-2061080893,-2146560949,-1274780866,116787572,1946682503,-381498107,-315368251,78134980,637847427,-1064550972,24430347,18081861,1433796362,1721826186,-2132794364,-1022746653,-1979423070,-2132243745,-74838045,-478092336,132612112,1048633098,1979909193,-1979665391,-594876221,184587752,637760749,297016712,2045297546,8710364,74771723,274565158,-478093942,-771378912,1228833003,1400242948,604268192,31686879,537657972,604268194,167906320,-1979599656,-599594813,184569320,637826285,-33464952,-1262223677,-389838334,938007596,1961691904,1569203716,-20709886,-1979468605,-602478397,184558056,637826285,-402432632,-152502188,-919383589,-1460927052,-502827768,1976368889,-1017513483,-661957806,-1660950808,-1062015750,-997801077,-289110290,-1645338448,1388534363,-388461741,-90374197,-1014279444,1122943154,-1964244757,-336831776,-1329548800,1537076768,115917658,-1329548800,-389812704,-1007887448,738012099,744959021,118687507,748357395,750070952,118687507,118687507,118687507,118697154,754396378,758777619,760088339,761998690,766061948,-772764776,956204006,-13747085,-2144633692,319047998,-315412364,78134980,637847427,-1064550972,24430347,-6821819,-947199094,-388285464,-2115436730,1961692159,717720073,653984767,384370056,-991087653,-2096846786,-1004141369,197168189,1157723335,-1258330904,-389576175,334027528,-11605761,108326155,638699395,-420921976,1228832986,812913412,1053034014,-947714904,1036264964,-955531124,505350516,297398923,128250624,-1076196577,297336832,-387108096,-1326916924,-16062462,-86332183,-1157690136,279970752,-68402450,175495946,73737856,-336124705,-872509428,243271541,203424869,-401558520,-1679238512,-19470082,-1965393687,-628954941,-1963022104,13363708,1978143152,-23336742,-1091961718,-388330752,-315368856,-385712664,116841041,1946551433,19195907,-632100782,1526614760,-385786392,-74720711,548723339,-1964664856,-2147186410,-355465502,31713360,-444143528,-1327883031,-634984432,184437992,-1978108453,176164036,604141055,-401558401,468245008,-27858690,-1965426455,-2134575417,52693109,-523181872,254018283,-236448588,-33756967,-369215512,-437724711,-35788583,1593870312,1482185566,119525514,-74723491,548723339,1357194216,1476500968,-370861080,-960833103,-289174781,-1160140567,854328262,1608027108,1515804766,-815986913,-1327914008,-37230576,-478094198,-771247744,-401297173,-1226253936,184322813,-2146863653,-271577881,-806621232,-351279232,-400509750,-397351732,-396886009,1525277892,-397192743,803733516,7399424,-497466533,-944061456,-289175037,-1677473350,-319160085,1059324139,-336797558,-1975573504,614329576,-1966568897,-1009634572,1355188819,-1974418038,4138433,-919348429,958854958,332923690,1059412170,653733376,-670881225,626575891,-147980225,53097766,63575000,-2117528613,-2088763197,-242614063,-1017386614,-1161590190,-1158806584,-1973943351,-285565756,-980811541,-1979651090,-1952583999,-1169112112,1022100422,-1341950721,-75436289,4241664,1347950708,1947204736,133988357,-1312946571,-1873286352,-349195842,1347981371,1947466880,808566278,1485844203,2145104,-1107073304,280572177,1096448,-1107232280,280572145,47872,61362264,-964485004,15001616,-1877218472,61362264,-964489100,4241728,-402652997,-346554162,-396849147,-1950154612,-1977200190,-1977203913,-1977203921,-1957477617,61427935,-402426880,1139343106,1499158783,-1008803257,-544517295,1543425000,931669575,797451843,260580931,-387819197,-1947446589,-2132769081,259264764,-1977213825,-397256185,-989922294,200073795,1124168941,-1977170690,-135767545,-1017461765,-617940085,115917706,629679868,-2142780418,-260960005,24440075,-401493945,-2010711055,11780901,771995473,-1337580406,80016896,704905844,1948304630,1343554562,-805378864,-1973884555,-393586488,1458604632,-385928621,1583087270,978961406,-1010205479,777112323,-376828790,1398206858,1543409128,1497581150,-360916677,33620163,100992003,168364039,235736075,303108111,370480147,437852183,505224219,572596255,639968291,707340327,774712363,842084399,909456435,976828471,1044200507,285540415,621479964,453444136,672403232],195,[621874220,840832042,655560502,874519340,520816185,739775268,554502448,773461286,722932531,941891376,756551229,941891634,33620031,335873027,33619975,335873027,976828423,1044200507,976828479,1044200507,33620031,335873027,33619975,335873027,976828423,1044200507,976828479,1044200507,285540415,336267292,285540392,336267292,756551208,941891634,756551231,941891634,285540415,336267292,285540392,336267292,756551208,941891634,756551231,941891634,63,0,117901056,117901063,117901063,117901063,1061109511,1061109567,63,0,117901056,117901063,117901063,117901063,1061109511,1061109567,33620031,335873027,976828423,1044200507,285540415,336267292,756551208,941891634,134545471,336662027,606084120,942812456,521142335,1061109551,1061109567,523190079,16,0,791092992,1061109559,1061109567,792149823,522133287,522133279,909192479,1061109562,1061109567,909786943,757935409,757935405,235339821,471604245,471604252,236264476,7,0,353439232,471604248,471604252,353901596,235802129,235802126,404100110,471604250,471604252,404364316,336860182,336860180,134479892,269488140,269488144,135008272,4,0,201984000,269488142,269488144,202248208,134744074,134744072,218893064,269488143,269488144,219090960,185273100,185273099,-1175745781,566099977,12276017,-1976675584,147030064,2082012032,418086915,-2146923986,-75495229,-2147255272,-1976690453,-1957669336,1946396893,-71243773,1492910568,-27572898,419135683,-964442244,-1109239528,1227262659,1374718724,-288159567,786878809,311473291,-25041199,91422730,1755643694,-726931150,118687507,848966258,-1909574933,1342644230,18344016,-1004345134,1527548454,1971373046,584381965,650185420,-380107640,-1053633411,-1957628437,20375746,-1979461958,-284643104,503746094,-393586681,1954596342,402896902,-1307644945,-16598844,126494447,-2010726358,-1329286649,-2132440574,653201380,-4970614,-282621914,62443186,146337536,-528027649,1356081385,1086046859,65271553,1492159425,503746094,76031495,-1965813527,-1962653402,145838576,-782635309,-1265946906,-422505840,720513,-13761165,-382523740,118739949,858785555,863712070,537300526,6023175,570722854,-1964977468,-373239090,-1909533747,-1962467834,8841410,-383121483,11850283,78695818,63879762,-1977197841,619237895,-758347263,-19920160,66879684,-1031085450,1356044521,1086046859,65271553,1492683713,503746094,92939783,1406370025,1378398288,-151068032,-1024042270,84112385,-259317760,-1143895208,45679296,1228832771,108135940,-1191083845,-366868733,-234624301,-919930998,-855455536,-126496770,-321723510,653771611,-783219638,-773205527,-1967062039,-1946211617,1277070283,50651908,1509745347,-511649653,-763318265,1049281512,-208993182,-288159567,-1802770735,65537104,-754980608,1980578896,1381178975,-402652743,1532687726,985857567,1963215382,986853958,1963230262,-352458692,71902858,1960500456,-352275452,-397206009,526119097,73539210,73547400,-1325626797,-1966527743,-1979415498,-33273322,1894260426,-2007293973,1476682270,-389611837,-135533889,171709300,121377652,138155892,-771058827,-347412108,-338545946,-2076820766,-338004732,87275932,-437780045,1020062673,-481594620,1374915401,-288159567,-1650343,1443123380,-397258416,1499130487,1397841496,652248656,1157645962,208930876,141823292,74713660,427099964,1426477654,-13572066,1510432031,1351912286,1499158532,518606315,113106,1912798336,1586112005,1381385472,-400665338,1562374689,1482578439,-1023518373,71964218,378152306,-1023540092,-231028994,393347250,1397804798,106320465,179314261,536796648,1516111709,1448631129,-397258416,1499130351,182607448,1963042906,-371070815,1776917739,1962949887,-350288380,1963015271,1013050114,-352160510,1963146331,-1872893181,74777660,1290520830,91557948,1391140614,1964063888,-1874072829,58004028,1016087787,-33262316,1010559944,-385649376,557580439,-1528233099,1965177856,10348803,58008380,1006671593,-385649372,809238671,-471268491,-783554304,350806154,-784078592,-371421976,-527773379,-401544064,854130691,777068241,119283342,73600651,1507597800,16547871,246882676,-2143318595,259260924,-1916991305,50102327,280429940,-1169245507,12124160,1344212481,-1199578240,1944625152,279468248,-1008204940,512634368,243992348,65537123,-180950820,773860547,119283342,2083424762,2114358272,-957744384,773860560,119283342,544524542,-922876146,247007349,1066253568,-922873109,146344053,932035840,280561387,1320860928,204376570,235310081,243923713,-1014365051,171353275,-1979353664,-1878398014,41288508,-684850512,-2069706498,-797972220,723062272,75828875,75765386,1997012864,33521900,-1909581961,168238110,-1006144001,-352289746,784633882,334168332,49250448,-13967478,-1014897711,-1959905407,1594297903,1482185566,-816293857,471764526,851937799,75867108,378259710,-527825821,1048581296,1963394121,-1336873215,-331158007,-536158172,-284577718,-20149672,-2131981620,75238905,16902529,73404041,703072944,1227262696,-804853756,-927410038,16482304,1589119860,33259521,-1866988684,922196225,-1572338555,-1057094524,653780010,-75496315,-788368128,378226912,-527825821,-1594944848,-1057094524,71968502,385233,72131329,-1925214781,-1925477065,-1169245619,94,0,-1518240256,-2120630911,-604012930,-1588225,-16880514,272137470,2084048896,272137470,947664896,947715838,940576892,947715708,402653308,1588284,-402653440,-1588285,1715208447,1013334594,-1715208448,-1013334595,252121087,-858993539,1717976184,2115517542,1060323096,-261083088,2137227232,-429431965,1012570560,1513940967,-119504743,-2132739842,1041105408,34488062,2117867520,1014896664,1717986840,1711302246,-606372096,454761339,946028032,-868717460,120,2122219008,2117867520,406617624,2117867775,404232216,404232192,406617624,202899456,1576190,1613758464,3170558,-1073741824,16695488,1713635328,2385663,1008205824,16777086,-65536,1588350,0,0,2021142528,805318704,1819044864,0,-26448896,1819082348,-1065603072,821562488,-859439104,-966381544,946616320,1993137270,-1067425792,0,1613764608,405823584,405823488,1613764632,1013317632,6700287,808452096,3158268,0,808452096,96,252,0,808452096,403441152,-2134876112,-825852928,2095511262,812658688,-63950800,214726656,-53714888,214726656,2026638392,1815878656,504168140,-121570304,2026638348,-1067436032,2026687736,214760448,808464408,-859015168,2026687608,-859015168,1880624252,808452096,808452096,808452096,808452096,1613764704,405823680,-67108864,16515072,405823488,1613764620,214726656,805318680,-557417472,2025905886,-864538624,-858981172,1718025216,-60397956,-1067041792,1013366976,1718417408,-127113626,1751318016,-27105160,1751318016,-262117256,-1067041792,1046924992,-858993664,-858993412,808482816,2016423984,202120704,2026687500,1818682880,-429495176,1616965632,-26844576,-17906176,-960047362,-152648192,-960049442,-965986304,946652870,1718025216,-262119300,-859015168,477682892,1718025216,-429495172,-523470848,2026642544,817167360,2016423984,-858993664,-53687092,-858993664,813223116,-960051712,-957415722,1824966144,-965986248,-858993664,2016424056,-1933115904,-26856936,1616934912,2019582048,811646976,33950744,404256768,2014844952,1815613440,198,0,0,405811455,0,2013265920,1993112588,1616961536,-597268868,2013265920,2026684620,202120192,1993133180,2013265920,2025913548,1617704960,-262119184,1979711488,209505484,1818288376,-429496714,1879060480,2016423984,201329664,-859042804,1717624952,-429098900,808480768,2016423984,-872415232,-958988546,-134217728,-858993460,2013265920,2026687692,-603979776,1618765414,1979711728,209505484,-603979746,-262117770,2080374784,-133400384,2083524608,406073392,-872415232,1993133260,-872415232,813223116,-973078528,1828650710,-973078528,-965986196,-872415232,209505484,-67108616,-60542824,808459264,472920288,404232192,404232192,808509440,-533712868,14448128,0,940572672,-20527508,-1060341760,202930380,13369464,2127350988,2013273088,2025913548,1019444736,1063665158,2013318144,2127330316,2013323264,2127330316,2016423936,2127330316,2013265920,209240256,1019444792,1012956774,2013318144,2025913548,2013323264,2025913548,1879100416,2016423984,952531968,1008211992,1879105536,2016423984,1815660032,-960037178,3158016,-855847816,-67101696,-60786592,2130706432,2144108300,-865321472,-825438978,13400064,2026687608,13369344,2026687608,14680064,2026687608,13400064,2127350988,14680064,2127350988,13369344,209505484,1008255992,406611558,-872363008,2026687692,2115508224,410960064,1684813848,-52010768,2026687488,821833980,-858982352,-959461638,404426439,-669509572,2013273200,2127330316,1879062528,2016423984,1835008,2026687608,1835008,2127350988,16252928,-858993416,-872350720,-857932564,1819032576,8257598,1819031552,8126520,805318656,2026684512,0,12632316,0,789756,-859389184,-865717282,-859389169,-814794789,1579011,404232216,1714618368,3368652,1724645376,13395507,579346944,579347080,1437226376,1437226410,-612901974,-612901906,404232430,404232216,404232216,404289560,-132638696,404289560,909522456,909571638,54,909573632,-134217674,404289560,-164219368,909571590,909522486,909522486,-33554378,909571590,-164219338,65030,909522432,65078,-132638720,63512,0,404289536,404232216,7960,404232192,65304,0,404291328,404232216,404234008,24,65280,404232192,404291352,521672728,404234008,909522456,909522742,926299702,16176,1056964608,909522736,-147442122,65280,-16777216,909571840,926299702,909522736,-16777162,65280,-147442176,909571840,-15198154,65280,909522432,65334,-16777216,404291328,24,909573888,909522486,16182,521672704,7960,520093696,404234008,24,909524736,909522486,909573942,-15198154,404291352,404232216,63512,0,404233984,-232,-1,255,-256,-252645121,-252645136,252645360,252645135,-241,255,1979711488,1994180828,-864550912,-1057436424,-855899968,-1061109568,1828585472,1819044972,1624046592,-53714896,2113929216,1893259480,1717960704,1618765414,-596246336,404232216,2016476160,813223116,-965986052,946652926,-965986304,-294884154,405806080,2026687612,2113929216,8313819,2114717184,1618926555,-1067435840,945864952,-859015168,-858993460,16515072,16515324,-63950848,-67096528,405823488,-67084240,1613764608,-67102672,454757888,404232216,404232216,-656926696,3158128,808452348,-596246528,14448128,1819031552,56,0,6168,0,6144,202116864,1013771276,1819047964,27756,806907904,30816,1006632960,3947580,0,0,0,0,0,0,-1518240256,-1715633791,32385,2113929216,-9217,2130700227,0,-26476544,2097086206,4152,0,-25413616,1063036,0,1010571264,417851367,15384,402653184,-33220,1008212094,0,0,406600728,0,-256],196,[-1008205825,-6205,16777215,1006632960,1715618406,60,-256,-1113996289,-3958339,16777215,437132800,-859015118,30924,1006632960,1013343846,404258328,0,1060323072,1882206256,57584,2130706432,1667465059,-421042333,192,-619177984,-616765636,6168,-2147483648,-17243968,-2134843144,0,235274752,239009342,518,402653184,404258364,406617624,0,1717986816,6710886,26214,2130706432,2078006235,454761243,0,945866364,1824966252,2093354040,0,0,-16843264,0,2117867520,2115508248,8263740,402653184,404258364,404232216,0,404232192,2115508248,6204,0,-32761856,6156,0,805306368,811662944,0,0,-1061158912,65216,0,671088640,678231660,0,0,2084059152,16711292,0,-16908288,943225980,16,0,0,0,0,1010571264,1579068,6168,1717960704,9318,0,0,-26448896,-26448788,27756,2081953792,2093007558,2093385222,6168,-1040187392,806882502,50790,939524096,1983409260,1993133276,0,1613770800,0,0,201326592,808464408,202911792,0,202911744,202116108,12312,0,-12818944,26172,0,402653184,404258328,0,0,0,404232192,48,0,65024,0,0,0,404226048,0,201720320,-1067438056,128,2080374784,-153170234,2093401830,0,2016942080,404232216,32280,2080374784,403441350,-20553680,0,113671168,101071878,31942,201326592,-865321956,504106238,0,-1061093888,101121216,31942,939524096,-54476704,2093401798,0,113704448,808458252,12336,2080374784,2093401798,2093401798,0,-960070656,101088966,30732,0,6168,1579008,0,404226048,402653184,12312,100663296,1613764620,101455920,0,0,2113929342,0,1610612736,101455920,1613764620,0,-960070656,1579020,6168,2080374784,-555825466,2093014238,0,1815613440,-956381498,50886,-67108864,2087085670,-60397978,0,-1033487360,-1027555136,15462,-134217728,1717986924,-127113626,0,1650916864,1651013736,65126,-33554432,2020106854,-262119320,0,-1033487360,-958480192,14950,-973078528,-20527418,-960051514,0,404241408,404232216,15384,503316480,202116108,2026687500,0,1818682880,1819048044,58982,-268435456,1616928864,-26844576,0,-17906176,-960047362,50886,-973078528,-553715994,-960051506,0,-965986304,-960051514,14444,-67108864,2087085670,-262119328,0,-960070656,-556349754,920700,-67108864,2087085670,-429496724,0,-960070656,-972277664,31942,2113929216,404249214,1008211992,0,-960051712,-960051514,31942,-973078528,-960051514,272133318,0,-960051712,-19474746,27772,-973078528,943221958,-960074696,0,1717986816,404241510,15384,-33554432,806915270,-20528544,0,808467456,808464432,15408,-2147483648,946921664,33951260,0,202128384,202116108,15372,1815613440,198,0,0,0,0,-16777216,405811200,0,0,0,0,-864285576,30412,-536870912,1819828320,2087085670,0,0,-1061108100,31942,469762048,1815874572,1993133260,0,0,-1057044868,31942,939524096,-262118292,-262119328,0,0,-858993546,2026638460,-536870912,1986814048,-429496730,0,1579008,404232248,15384,100663296,101580806,1711670790,15462,1616961536,1819831398,58982,939524096,404232216,1008211992,0,0,-690553108,50902,0,1725693952,1717986918,0,0,-960051588,31942,0,1725693952,1618765414,61536,0,-858993546,504106108,0,1994129408,-262119322,0,0,477152892,31942,268435456,821833776,473313328,0,0,-858993460,30412,0,1717960704,406611558,0,0,-690567482,27902,0,1824915456,-965986248,0,0,-960051514,-133429634,0,-855769088,-26857448,0,404229632,404254744,3608,402653184,1579032,404232216,0,404254720,404229656,28696,1979711488,220,0,0,268435456,-960074696,254,1006632960,-1061109146,205285058,31750,13421568,-858993460,30412,403439616,-964952016,2093400318,0,7092240,-864285576,30412,-872415232,209191116,1993133180,0,1585248,-864285576,30412,1815609344,209190968,1993133180,0,1006632960,1013342310,3933708,940572672,-964951956,2093400318,0,13421568,-1057044868,31942,811597824,-964952040,2093400318,0,6710784,404232248,15384,1008205824,406323302,1008211992,0,1585248,404232248,15384,-960102400,-965986288,-960037178,939524096,939538540,-20527508,50886,1613764608,1617362432,-26845060,0,-872415232,-662817162,28376,1040187392,-20132756,-825439028,0,7092240,-960051588,31942,-973078528,-964951866,2093401798,0,1585248,-960051588,31942,2016411648,-859045684,1993133260,0,1585248,-858993460,30412,-973078528,-960102202,108971718,30732,1815660230,-960051514,14444,-960102400,-960051712,2093401798,0,1715214360,1013342304,6168,1815609344,1626366052,-52010912,0,1013343744,2115534360,6168,-856162304,-859506484,-959656738,0,404232974,404258328,1893210136,806879232,209191008,1993133180,0,3151884,404232248,15384,806879232,-964951968,2093401798,0,6303768,-858993460,30412,1979711488,1725694172,1717986918,1979711488,-423231268,-824246538,50886,1815871488,2113945196,0,0,946629688,31744,0,805306368,808452144,2093401696,0,0,-1061093888,192,0,-33554432,394758,0,-859389760,-597675816,1041763462,-1061158912,819514566,1050594918,1542,1579008,1010571288,6204,0,-663996928,13932,0,-671088640,-663996820,0,289673472,289673540,289673540,1430524228,1437226410,1437226410,1437226410,-579347030,-579347081,-579347081,410508663,404232216,404232216,404232216,404232216,404232216,404232440,404232216,404232216,418912504,404232216,909522456,909522486,909522678,3552822,0,922615808,909522486,54,418906112,404232440,907548696,909522486,922093302,909522486,909522486,909522486,909522486,3552822,0,922093310,909522486,909522486,116799030,254,905969664,909522486,16660022,0,404232192,418912280,248,0,0,418906112,404232216,404232216,404232216,31,402653184,404232216,16717848,0,0,0,404232447,404232216,404232216,404690968,404232216,24,0,255,402653184,404232216,419371032,404232216,404232216,404690968,404232223,907548696,909522486,909588022,909522486,909522486,808924726,63,0,0,909586495,909522486,909522486,16201270,255,0,0,922157311,909522486,909522486,808924726,909522487,3552822,0,16711935,0,909522432,16201270,909522679,406206006,404232216,16711935,0,909522432,909522486,255,0,0,419365119,404232216,24,0,909522687,909522486,909522486,4142646,0,404232192,404690968,31,0,0,404690975,404232216,24,0,909522495,909522486,909522486,922695222,909522486,404232246,419371032,404232447,404232216,404232216,16259096,0,0,0,404232223,-15198184,-1,-1,-1,255,0,-1,-251658241,-252645136,-252645136,-252645136,252645360,252645135,252645135,-15790321,-1,65535,0,0,-596246528,1994184920,0,2080374784,-960037690,1086374140,-33554432,-1061108026,-1061109568,0,-33554432,1819044972,27756,-33554432,405823686,-20553680,0,0,-656877442,28888,0,1717986816,1616936038,192,1979711488,404232412,6168,2113929216,1717976088,2115517542,0,-965986304,-960037178,14444,939524096,-960051604,-294884244,0,405806592,1717976588,15462,0,-612499456,32475,0,2114323200,2129910747,49248,469762048,2086690864,472932448,0,-964952064,-960051514,50886,0,-33554178,16646144,0,404226048,1579134,65280,805306368,201722904,2113941528,0,806882304,202911840,32256,234881024,404232987,404232216,404232216,404232216,-669509608,28888,0,2113935384,1579008,0,1979711488,-596246308,0,1815609344,14444,0,0,0,1579008,0,0,0,24,0,202116111,1827408908,7228,1826095104,1819044972,0,0,1613813872,63688,0,0,2088532992,8158332,0,0,0,0,7424,1713635328,2385663,0,1667432482,8803,0,721420288,402653184,419371032,6168,2949120,0,65280,0,19712,-603985981,-1010580541,195,-16777132,404265435,1008211992,1442840576,-1010630656,-1010580541,1588326,5701632,-1010580736,-2368573,26214,22528,1013367747,-1016710120,195,-1023410087,1013367747,1008211992,1509949440,-1006698496,806882438,16761697,7143424,0,-606339098,56283,30208,-1023410176,1013367747,24,119,-1010630656,1728043995,-1862270976,0,2115713902,7855320,10158080,-1015146472,2126758080,6168,40192,406611651,419371263,24,1727791262,1717730406,-211392913,-251658240,404226048,404291352,16711704,16121856,1579008,65280,6168,0,0,0,0,0,-2119859842,-2120630911,32385,0,-2359426,-1588225,32511,0,-26476544,2097086206,4152,0,940572672,947715708,16,0,1010571264,417851367,15384,0,2117867520,410976255,15384,0,0,406600728,0,-65536,-1,-406600729,-1,65535,1006632960,1715618406,60,-65536,-1006632961,-1715618407,-61,65535,840568350,-858993544,30924,0,1717986876,2115517542,6168,0,809448255,1882206256,57584,0,1669292927,1734566755,12642023,0,-619177984,-616765636,6168,-2147483648,-118431552,-521078530,32960,33554432,1042157062,236863230,518,0,410926104,1014896664,24,0,1717986918,6710886,26214,0,-606348417],197,[454761339,6939,2080374784,1815634118,946652870,8177164,0,0,-16908288,65278,0,410926104,1014896664,32280,0,410926104,404232216,6168,0,404232216,2115508248,6204,0,402653184,403504652,0,0,805306368,811662944,0,0,0,-20922176,0,0,671088640,678231660,0,0,940572672,-25396168,254,0,-16908288,943225980,16,0,0,0,0,0,1010580504,1579032,6168,1711276032,2385510,0,0,0,-26448896,-26448788,27756,404226048,-1060977028,-2046425476,404257990,0,-960364544,1613764620,34502,0,946629688,-858989450,30412,805306368,6303792,0,0,0,808458252,808464432,3096,0,202119216,202116108,12312,0,1711276032,1715273532,0,0,402653184,404258328,0,0,0,402653184,3151896,0,0,65024,0,0,0,0,6168,0,100794368,1613764620,32960,0,-960074696,-960047402,14444,0,410531864,404232216,32280,0,201770620,-1067438056,65222,0,101107324,101058108,31942,0,1815878668,202178252,7692,0,-1061109506,101058300,31942,0,-1061134280,-960051460,31942,0,101107454,808458252,12336,0,-960051588,-960051588,31942,0,-960051588,101058174,30732,0,404226048,402653184,24,0,404226048,402653184,12312,0,403441152,405823536,1548,0,2113929216,8257536,0,0,405823488,403441164,24624,0,214353532,1579032,6168,0,-960070656,-589373730,31936,0,-965986288,-960037178,50886,0,1717987068,1717986940,64614,0,-1061001668,-1027555136,15462,0,1717988600,1717986918,63596,0,1751279358,1650485368,65126,0,1751279358,1616930936,61536,0,-1061001668,-960045376,14950,0,-960051514,-960051458,50886,0,404232252,404232216,15384,0,202116126,-859042804,30924,0,1818650342,1718384760,58982,0,1616929008,1650483296,65126,0,-16847162,-960051498,50886,0,-17373498,-960049442,50886,0,-960051588,-960051514,31942,0,1717987068,1616928892,61536,0,-960051588,-691616058,235699422,0,1717987068,1717988476,58982,0,1623639676,-972682184,31942,0,408583806,404232216,15384,0,-960051514,-960051514,31942,0,-960051514,1824966342,4152,0,-960051514,-19474730,27886,0,2087503558,1820080184,50886,0,1717986918,404232252,15384,0,210159358,-1033883624,65222,0,808464444,808464432,15408,0,-524255232,236730480,518,0,202116156,202116108,15372,940572672,50796,0,0,0,0,0,-16777216,808452096,24,0,0,0,2013265920,-859014132,30412,0,2019582176,1717986924,31846,0,2080374784,-1061109562,31942,0,1007422492,-858993556,30412,0,2080374784,-1061093690,31942,0,1617194040,1616929008,61536,0,1979711488,-858993460,-871596852,120,1818255584,1717986934,58982,0,939530264,404232216,15384,0,234882566,101058054,1717962246,60,1717592288,1819834476,58982,0,404232248,404232216,15384,0,-335544320,-690563330,50902,0,-603979776,1717986918,26214,0,2080374784,-960051514,31942,0,-603979776,1717986918,1616936038,240,1979711488,-858993460,202144972,30,-603979776,1616930422,61536,0,2080374784,205021382,31942,0,-63950832,808464432,7222,0,-872415232,-858993460,30412,0,1711276032,1717986918,6204,0,-973078528,-690563386,27902,0,-973078528,943208556,50796,0,-973078528,-960051514,201752262,248,-33554432,1613764812,65222,0,404232206,404232304,3608,0,404232216,404232192,6168,0,404232304,404232206,28696,0,56438,0,0,0,940572672,-960051604,254,0,-1061001668,1724039360,2080771132,0,-872415028,-858993460,30412,201326592,2080387096,-1061093690,31942,268435456,2013293624,-859014132,30412,0,2013266124,-859014132,30412,1610612736,2013272112,-859014132,30412,939524096,2013280364,-859014132,30412,0,1715208192,1013342304,3933708,268435456,2080402488,-1061093690,31942,0,2080374982,-1061093690,31942,1610612736,2080380976,-1061093690,31942,0,939524198,404232216,15384,402653184,939550268,404232216,15384,1610612736,939530288,404232216,15384,-973078528,1815613440,-956381498,50886,1815609344,1815609400,-956381498,50886,806879232,1727922272,1616936032,65126,0,-872415232,-662817162,28376,0,-859018178,-858993410,52940,268435456,2080402488,-960051514,31942,0,2080374982,-960051514,31942,1610612736,2080380976,-960051514,31942,805306368,-872362888,-858993460,30412,1610612736,-872409040,-858993460,30412,0,-973078330,-960051514,201752262,-973078408,-960070656,-960051514,31942,-973078528,-960051712,-960051514,31942,402653184,1617312792,1013342304,6168,939524096,-262118292,1616928864,64742,0,406611558,410916990,6168,-134217728,-990327604,-858988852,50892,234881024,404232219,404232318,1893210136,402653184,2013290544,-859014132,30412,201326592,939536408,404232216,15384,402653184,2080399408,-960051514,31942,402653184,-872390608,-858993460,30412,0,-603923338,1717986918,26214,-596246528,-152648192,-959521026,50886,1006632960,4090988,126,0,939524096,3697772,124,0,0,805318704,-960470992,31942,0,0,-1061109506,192,0,0,101058302,6,-1073741824,-859389248,-597676008,1041763462,-1073741824,-859389248,-832163816,101072542,0,402659352,1010571288,6204,0,905969664,913102956,0,0,-671088640,-663996820,0,1141964800,1141982225,1141982225,1141982225,-1437252591,-1437226411,-1437226411,-1437226411,2011015765,2011002845,2011002845,2011002845,404256733,404232216,404232216,404232216,404232216,404232216,404289560,404232216,404232216,-132638696,404289560,404232216,909514776,909522486,909571638,909522486,13878,0,909573632,909522486,13878,-134217728,404289560,404232216,909514776,-164219338,909571590,909522486,909522486,909522486,909522486,909522486,13878,-33554432,909571590,909522486,909522486,-164219338,65030,0,909508608,909522486,65078,0,404226048,-132638696,63512,0,0,0,404289536,404232216,404232216,404232216,7960,0,404226048,404232216,65304,0,0,0,404291328,404232216,404232216,404232216,404234008,404232216,6168,0,65280,0,404226048,404232216,404291352,404232216,404232216,521672728,404234008,404232216,909514776,909522486,909522742,909522486,909522486,926299702,16176,0,0,1056964608,909522736,909522486,909522486,-147442122,65280,0,0,-16777216,909571840,909522486,909522486,926299702,909522736,909522486,13878,-16777216,65280,0,909508608,-147442122,909571840,909522486,404239926,-15198184,65280,0,909508608,909522486,65334,0,0,-16777216,404291328,404232216,6168,0,909573888,909522486,909522486,909522486,16182,0,404226048,521672728,7960,0,0,520093696,404234008,404232216,6168,0,909524736,909522486,909522486,909522486,909573942,909522486,404239926,-15198184,404291352,404232216,404232216,404232216,63512,0,0,0,404233984,404232216,-59368,-1,-1,-1,65535,0,-256,-1,-252641281,-252645136,-252645136,-252645136,252702960,252645135,252645135,252645135,-61681,-1,255,0,0,1979711488,-656877348,30428,0,-858993544,-960049960,52422,0,-1060714754,-1061109568,49344,0,1828585472,1819044972,27756,0,1623653888,1613764656,65222,0,2113929216,-656877352,28888,0,1717960704,2087085670,12607584,0,-596246528,404232216,6168,0,1008238080,1013343846,32280,0,-965986304,-960037178,14444,0,-960074696,1819045062,61036,0,202911774,1717986878,15462,0,2113929216,2128337883,0,0,2114323200,2129910747,49248,0,1616916508,1616928892,7216,0,-960070656,-960051514,50886,0,16646144,65024,254,0,404226048,1579134,65280,0,202911744,806882310,32256,0,806882304,202911840,32256,0,404429582,404232216,404232216,404232216,404232216,-656926696,28888,0,404226048,402685440,24,0,1979711488,-596246308,0,939524096,3697772,0,0,0,0,1579008,0,0,0,1572864,0,251658240,202116108,1819077644,7228,-671088640,1819044972,108,0,1879048192,-933220136,248,0,0,2088501248,2088533116,124,0,0,0,0,1900544,0,1728013860,36,805306368,1715208192,-606354493,1013367747,0,-1023410099,-603979801,-1010580541,195,21504,412736511,404232216,15384,5636096,-1010580736,-1010580541,1588326,1459617792,-1010630656,-607927357,1718026203,0,-1023410088,406611651,-1016710120,195,22784,1724105667,404232252,15384,5898240,-2033975552,1613764620,16761793,1828716544,0,-603986432,-606348325,0,118,-1010630656,1013367747,24,30464,-1023410176,-606354493,26367,7864320,0,406611651,12805692,-1862270976,0,456879616,2010962046,0,404226203,-1061108866,410960832,24,40192,406611651,419371263,6168,10354688,2087085820,1718576738,15951462,-1426063360,-1027555328,806931654,110874208,7948,-1061158740,416073410,-1764858320,394814,503316480],256,[1024,0],257,[1024,0],258,[1024,0],259,[1024,0],260,[1024,0],261,[1024,0],262,[1024,0],263,[1024,0],264,[1024,0],265,[1024,0],266,[1024,0],267,[1024,0],268,[1024,0],269,[1024,0],270,[1024,0],271,[1024,0],272,[1024,0],273,[1024,0],274,[1024,0],275,[1024,0],276,[1024,0],277,[1024,0],278,[1024,0],279,[1024,0],280,[1024,0],281,[1024,0],282,[1024,0],283,[1024,0],284,[1024,0],285,[1024,0],286,[1024,0],287,[1024,0],288,[1024,0],289,[1024,0],290,[1024,0],291,[1024,0],292,[1024,0],293,[1024,0],294,[1024,0],295,[1024,0],296,[1024,0],297,[1024,0],298,[1024,0],299,[1024,0],300,[1024,0],301,[1024,0],302,[1024,0],303,[1024,0],304,[1024,0],305,[1024,0],306,[1024,0],307,[1024,0],308,[1024,0],309,[1024,0],310,[1024,0],311,[1024,0],312,[1024,0],313,[1024,0],314,[1024,0],315,[1024,0],316,[1024,0],317,[1024,0],318,[1024,0],319,[1024,0],320,[1024,0],321,[1024,0],322,[1024,0],323,[1024,0],324,[1024,0],325,[1024,0],326,[1024,0],327,[1024,0],328,[1024,0],329,[1024,0],330,[1024,0],331,[1024,0],332,[1024,0],333,[1024,0],334,[1024,0],335,[1024,0],336,[1024,0],337,[1024,0],338,[1024,0],339,[1024,0],340,[1024,0],341,[1024,0],342,[1024,0],343,[1024,0],344,[1024,0],345,[1024,0],346,[1024,0],347,[1024,0],348,[1024,0],349,[1024,0],350,[1024,0],351,[1024,0],352,[1024,0],353,[1024,0],354,[1024,0],355,[1024,0],356,[1024,0],357,[1024,0],358,[1024,0],359,[1024,0],360,[1024,0],361,[1024,0],362,[1024,0],363,[1024,0],364,[1024,0],365,[1024,0],366,[1024,0],367,[1024,0],368,[1024,0],369,[1024,0],370,[1024,0],371,[1024,0],372,[1024,0],373,[1024,0],374,[1024,0],375,[1024,0],376,[1024,0],377,[1024,0],378,[1024,0],379,[1024,0],380,[1024,0],381,[1024,0],382,[1024,0],383,[1024,0],384,[1024,0],385,[1024,0],386,[1024,0],387,[1024,0],388,[1024,0],389,[1024,0],390,[1024,0],391,[1024,0],392,[1024,0],393,[1024,0],394,[1024,0],395,[1024,0],396,[1024,0],397,[1024,0],398,[1024,0],399,[1024,0],400,[1024,0],401,[1024,0],402,[1024,0],403,[1024,0],404,[1024,0],405,[1024,0],406,[1024,0],407,[1024,0],408,[1024,0],409,[1024,0],410,[1024,0],411,[1024,0],412,[1024,0],413,[1024,0],414,[1024,0],415,[1024,0],416,[1024,0],417,[1024,0],418,[1024,0],419,[1024,0],420,[1024,0],421,[1024,0],422,[1024,0],423,[1024,0],424,[1024,0],425,[1024,0],426,[1024,0],427,[1024,0],428,[1024,0],429,[1024,0],430,[1024,0],431,[1024,0],432,[1024,0],433,[1024,0],434,[1024,0],435,[1024,0],436,[1024,0],437,[1024,0],438,[1024,0],439,[1024,0],440,[1024,0],441,[1024,0],442,[1024,0],443,[1024,0],444,[1024,0],445,[1024,0],446,[1024,0],447,[1024,0],448,[1024,0],449,[1024,0],450,[1024,0],451,[1024,0],452,[1024,0],453,[1024,0],454,[1024,0],455,[1024,0],456,[1024,0],457,[1024,0],458,[1024,0],459,[1024,0],460,[1024,0],461,[1024,0],462,[1024,0],463,[1024,0],464,[1024,0],465,[1024,0],466,[1024,0],467,[1024,0],468,[1024,0],469,[1024,0],470,[1024,0],471,[1024,0],472,[1024,0],473,[1024,0],474,[1024,0],475,[1024,0],476,[1024,0],477,[1024,0],478,[1024,0],479,[1024,0],480,[1024,0],481,[1024,0],482,[1024,0],483,[1024,0],484,[1024,0],485,[1024,0],486,[1024,0],487,[1024,0],488,[1024,0],489,[1024,0],490,[1024,0],491,[1024,0],492,[1024,0],493,[1024,0],494,[1024,0],495,[1024,0],496,[1024,0],497,[1024,0],498,[1024,0],499,[1024,0],500,[1024,0],501,[1024,0],502,[1024,0],503,[1024,0],504,[1024,0],505,[1024,0],506,[1024,0],507,[1024,0],508,[1024,0],509,[1024,0],510,[1024,0],511,[1024,0],4000,[1024,0],4001,[1024,0],4002,[1024,0],4003,[1024,0],4004,[1024,0],4005,[1024,0],4006,[1024,0],4007,[1024,0],4008,[1024,0],4009,[1024,0],4010,[1024,0],4011,[1024,0],4012,[1024,0],4013,[1024,0],4014,[1024,0],4015,[1024,0],4016,[1024,0],4017,[1024,0],4018,[1024,0],4019,[1024,0],4020,[1024,0],4021,[1024,0],4022,[1024,0],4023,[1024,0],4024,[1024,0],4025,[1024,0],4026,[1024,0],4027,[1024,0],4028,[1024,0],4029,[1024,0],4030,[1024,0],4031,[1024,0],4032,[1024,0],4033,[1024,0],4034,[1024,0],4035,[1024,0],4036,[1024,0],4037,[1024,0],4038,[1024,0],4039,[1024,0],4040,[1024,0],4041,[1024,0],4042,[1024,0],4043,[1024,0],4044,[1024,0],4045,[1024,0],4046,[1024,0],4047,[1024,0],4048,[1024,0],4049,[1024,0],4050,[1024,0],4051,[1024,0],4052,[1024,0],4053,[1024,0],4054,[1024,0],4055,[1024,0],4056,[1024,0],4057,[1024,0],4058,[1024,0],4059,[1024,0],4060,[1024,0],4061,[1024,0],4062,[1024,0],4063,[1024,0],4064,[1024,0],4065,[1024,0],4066,[1024,0],4067,[1024,0],4068,[1024,0],4069,[1024,0],4070,[1024,0],4071,[1024,0],4072,[1024,0],4073,[1024,0],4074,[1024,0],4075,[1024,0],4076,[1024,0],4077,[1024,0],4078,[1024,0],4079,[1024,0],4080,[-13436026,-1752439855,1451819088,1611565826,72255744,18119,246465280,-1964227858,263211744,-1007926546,105993040,-1912584008,-1258114624,-402542583,-2147155945,8168192,-38465359,149422512,8299264,1482381575,1431458755,-980627318,4984456,12305806,130491904,-953810944,-64953,-1960379140,-50529249,-75236100,113649152,1946157056,5021704,350994730,1278097552,422912,-352302058,5021895,-1057046230,-524164046,1532648710,1381061571,180049750,375040,855640255,-2131494958,129380546,9672073,-270381233,9682684,-1191182145,-1510801397,9682684,-1182793537,-1510801397,1499094623,1364443995,-396994734,146210840,12087475,-1094676964,-1984692224,-469101107,1499094878,509657947,469809158,-1064380274,-1077922820,79233024,-1096027392,12058632,1096476,386039,13795328,-2013117303,1153827924,80187909,280887391,-268388352,-150990661,-132053533,-1996434816,1418199620,88393220,117753746,3194368,-1699493748,-1107268376,12058648,-393039076,549322849,4241408,1458082483,2670080,-1833709428,-1107276568,12058688,-393038928,1220411457,536918016,921211571,5291520,-1279262536,2877586,5506758,1460061888,1488879616,-268388352,384340659,-1899459584,-132006184,-1191138881,-784269305,128316393,-943496929,-1962934524,81838588,-1996165184,2089288260,89950212,410823,-1336884480,861464718,57983144,-1340085255,860678294,-1783570294,-1556920856,-1733296010,-1976353304,-392711968,2023961398,-1017579520,-393301936,-527813846,168873088,-2147256887,-1901006876,1479745256,-739748157,585653060,47616,-1179212101,82313233,-396967099,-396671810,12189709,-1229473024,-402646599,-1581038353,-1071382432,57950268,-1107262231,-75450618,-2139917058,1853161467,1786043146,-997584713,54264612,37513588,1085735540,1450368826,-2135485506,-997584697,-390067164,1946369026,1946303566,818380803,980606778,-2135482946,-997584697,-390057948,1946369028,1946303538,818380803,510844730,-2135480386,-997584697,-390021084,1946369030,1946303510,818380805,-549845900,-1944188557,-388460856,-1021354084,-1899459554,-2147434792,12182578,-536695680,242547682,-1152384838,263829338,1144907776,-1021313301,120588080,120588080,119539504,121767755,122619680,646580043,1720189001,1008648961,106788611,-1274577270,10741763,39226194,-1696070988,72256256,1988835043,273058572,-1392715634,-2147066229,1979777150,1946631187,1946696719,1946827787,1947024391,-1817406717,-1202708911,-661782464,1960024,-740140769,2122975066,4650503,-1274710783,5236738,1227262495,23496704,1946631363,1946696763,1946827831,1947024435,112943,786958772,-402410496,-1023541207,4855354,-768469899,-25114882,-32803559,-1274367794,1042446,45404722,-1023407896,48762548,1358490368,12256851,-1144812032,-930348990,117913894,57956443,-1664937779,1819142158,-65073469,-2065260368,-1341918534,-1582240256,1690010854,1109977088,-1326576464,-1148918110,468189284,-2069905854,-402651969,1416759655,-222683984,-1548685821,-315390746,1913214696,32815939,-398329368,946997579,-402627399,812803322,745863649,-334673944,58048680,-2127303700,1946157557,1970289685,1692198929,770183794,-1564546035,245636,-1515143445,82543846,-2065259344,-1179111493,12189728,1119479808,-1498413845,568624358,568770340,-756678480,63165670,459487,5289992,-958886370,-16777210,-1928935649,-973078528,-100627450,-5121229,-13373259,1276020742,4765696,-953761650,637534213,-16628281,654114047,-50592373,201129212,92874432,-1040317324,-1014821909,1959606848,-339083772,-2132049460,-1995934208,-2013229794,117476366,-939608893,-2147450362,-1895381504,113704704,-1124007790,317194368,-2134539946,1958742784,1714325522,1729530112,1762560000,1678672128,-1023393536,-2065268816,5244615,113770495,82,5506758,1426507279,113676800,-973078442,22278,4720327,113770495,74,4982470,1292289791,113742336,78,1354243590,-1193767424,-1064435640,-13371853,-62914375,-1146752154,1066139616,-1946164549,113712951,-65456,5375687,113639424,-960495532,-1845471994,5637830,1460061696,512458752,-1205993331,-661782448,206594532,-1604196856,113639424,620691456,1166550768,1642485761,268813862,1894166960,-527797788,1894166704,356836,1065400580,-1053045973,-617414030,637985729,637689225,-1258005111,-1043778818,-1993997087,-24443315,-2010716020,1166550565,2147465473,847249598,-1406731036,-85794814,-989932298,-970684378,-67108858,-389871841,1621295257,-1144485120,-1040842112,-1156877280,-1040842240,-1157401584,12058880,-18614524,-1877571382,616663552,1950366912,67156767,1967178230,134265611,1971372534,671136515,-150732616,-1999962397,-1023373034,11795850,-1979710279,49266887,37487396,-1015020171,1007151873,-2147126015,-404618045,5290014,44095630,183510016,172739,-1545326049,-620101534,28508789,12123954,-1142687996,-470350848,378063614,-943521647,-16756730,1376176127,-973078528,-1073720314,5572294,1443284626,113639424,511705175,5290067,1642387598,135061642,-2065276442,7819,1734,-58398977,-50529028,-50529028,-50529028,-2030240516,-1956518176,-1021355069,0,0,65535,-2147445824,65535,37632,65535,39695,65535,-1073704448,65535,39935,65535,37631,65535,37390,65535,37629,120586311,4653071,16713520,65535,-2018902016,-2013790184,-2010644456,254672920,125310465,218112015,571408385,788475392,146311050,-1329558016,495461935,-50559770,-50529028,-50529028,-50529028,280558844,264277504,627441696,2147483646,-369090033,-268400676,503385902,-436271228,369168174,537855864,68864,771760655,-2020724993,-1912600392,-1973295936,-435680032,650414689,-970580598,-16777210,-1293196826,369168174,537888632,68864,771760655,-2020462849,-1912594248,-423579432,-18076,-1469782790,-502959102,9497080,-452984903,1963042916,-369565179,1625555074,2088044712,444262,192,1711336376,-339476319,2450944,1962934400,1711336205,-1073740089,369098752,15406827,444262,192,1711336278,-1073740089,-1744830464,-949616405,12582918,-345767936,113731072,49152,15441920,444262,192,1711336240,-1073740089,67043328,1894167472,-528059932,1894167472,537707654,317420006,1894167472,-528059932,1894167472,-551238522,280523238,-371683840,1409023708,508973649,-1912586053,65176027,-1963816192,-788498276,143952870,1959922432,-461090697,-855766156,-855750284,-346530956,-347935129,-335484160,679016484,-1862354864,1477823992,616108402,140962036,2029528300,-17374701,-336628277,-335484160,75036708,770375948,472181826,15401228,619577579,1108339484,-351752126,96202240,1020323840,15401996,1257111787,15417930,619446507,-1974979336,-410363656,1499094559,1043255131,912614438,-1381651712,1869459367,864689408,-1853193334,-460663158,1368062602,1357679445,503730771,551947184,547889380,-315468427,-661731188,-1962522994,-1977220002,-218529777,-109050508,1124627955,-1258139905,-1947473151,-2034303786,3976329,-1053161100,-1958480011,-1093145614,-561280627,1946172588,1975597590,138841079,721740928,-422490381,-1785397458,520809353,1482381831,-1142335139,1510416145,1499289691,-2131588145,57999869,-2147332353,74711292,48975695,-1950136505,1979137010,33390624,1325336181,38731522,1946221696,1313820424,-347189682,1179076401,-347716026,-97495,-58716811,1308914688,1176234830,-2145916090,57999869,-2147332353,108265724,1313754959,1195836651,-1950136762,16548082,1313735796,1178993387,1005751235,-2146077193,141820156,1330597711,837504590,1195853639,703284806,1979711107,16547857,1313736308,434851663,1195853382,-41937941,-16550655,-58719674,1325691904,1191373647,-225721529,1946221696,-347123964,-1018738942,-41880949,-16550655,-58719666,1325691904,1191373647,-225721529,1946221696,-347189756,-1018804734,1243515645,39226112,74634042,-889269366,1946273014,717915916,-154064139,-337971490,720710148,-20513071,41281730,1048584564,1912733769,1228832808,326566656,378229328,-1031602077,6660100,1525610276,-2146505896,67127614,1048577906,1963393097,736856956,-1736214,-1947873024,-154825992,65876707,65065409,-1761587706,-561068404,-470355829,16828151,-654900108,-523117065,177653507,974419136,705721286,-204829968,66388901,1976499965,-1963947276,-1977569049,61600714,1976499965,4241654,-454502258,-2145815551,33573182,1048580722,1996685385,1662421771,79856384,-301963872,1228832963,74712576,-489627184,1375752381,-980748149,-1164382926,-487128768,100909315,-1953038258,1085970672,-136120575,1946222790,-136775920,-255360547,1228832800,24380928,-1933114553,-1764061502,-544517286,812957706,745784890,-800002006,-1947807514,-1947169850,-204829957,-1947169884,16155131,16220448,-204830176,63243172,1976499933,-259368736,-422517040,-1950053800,-204829957,-2114221142,-1977614089,61535178,1976499933,1713292266,-1201214157,1,-1178258586,-13418496,-791583074,-102585498,202138084,-215719450,-1150918170,1,1725772646,520537483,12187187,-781803968,1185718227,-1020115386,594932705,-1062706716,460652720,1721633201,-2092510253,-630061826,1713353118,1721750483,530545229,-960249805,-464519164,-435418015,-420273055,-695510687,-389809889,-1977221070,584578565,-1998007609,-389873594,580386850,-790572349,638286332,646579504,1720189001,572965633,-1429796291,4793994,-1023318392,1452015411,1944768770,536919811,-489561391,-489561391,-489555453,-100408623,1048641207,1929773129,-791555836,-153122073,-774796333,-773139990,-2133723414,-942536735,-1329333757,321549,179312242,-2066599086,-1342016064,-855591904,29685271,1526268276,-812953661,6601041,1952165352,1509548550,-402002951,-290716680,-118889895,-2029586749,-3996672,9318890,508973296,-1912586056,243928,524677608,-1949345698,281248747,-1949069574,-1178497311,-888994784,1236914574,12581888,-1897218557,-1583010061,104530512,57999960,1023606946,175440215,-1207950145,-1934890617,1824500680,-1917470720,-1412920149,-1409330248,-1901344628,113518277,-1868365806,-1845064704,-594609408,50446163,-1274837574,-350106353,-1899416817,1377733593,1977320706,1501620618,779403274,-1274871110,-1205744375,567086081,1962950016,-16398835,108334396,567089588,1596211460,-596491972,604199330,59089423,-919358485,61214345,61345417,-1828272319,855769091,-611442990,567089844,59095583,567093172,-1948545506,-1962929130,520094734,-1169077934,666108805,37495245,-1860537000,-1960916949,-524123693,869961231,-853887790,-2051399903,-853036029,-854543327,4030497,985271412,-855002109,201898017,-980540979,-2135237234,-853888000,52001,1850280461,1953654131,1297040160,542196048,1143821133,1679840079,1701540713,224752756,1953383690,1679848037,1702259058,1701868320,1768319331,606106213,168626701,1852400978,1953654131,1936286752,1953785195,1852383333,1769104416,1092642166,543582496,1701012846,1918989171,1393167737,1802072692,1851859045,1701519481,1752637561,1914728037,2036621669,2361869,1230192962,538984771,4544581,-1471873304,-401247231,663355914,-398129688,-1070384696,-335284294,192184488,1317078708,-2013265642,-1023393498,-1471883544,839152897,-396301340,1534394314,-167650840,259264519,-58710134,-2147256937,-327154748,-401478893,-2018229193,141820732,71042996,1639187060,-1343740024,975169604,1342523018,33900230,-966873624,-402651834,-2007474522,112461126,-335284294],4081,[41189544,646480052,1317077057,-1023409898,-1880555725,-167283457,1148551364,-466421621,1006651018,-1274449403,374243585,820707329,578076682,20747188,1957957748,292815420,54269364,-1749808268,28313579,-347858456,-402542587,937968639,-400062463,-947174350,19720387,669525898,281343556,31982453,468239104,-2012771839,1996423751,88508928,897001276,1967353064,1131669522,425600,-390069387,1007625220,-400657661,-269993627,-2006862848,1139337255,1187382960,1187382273,-397410048,1951947834,961013872,-1275014680,-400062462,112214986,67192518,16795334,1545398352,-397118376,-1276626647,-2004372480,1135405095,1187382448,1187382273,-397410048,1951947774,957081679,-1275030040,-400062367,112214926,67192518,16795334,1541466192,-2127268776,71246,-1979681304,663224935,-1975292440,-352304858,-400757972,393560773,-2143105816,1962935934,82362371,71044900,129238389,-402396032,-998227189,4253715,1005070216,38258243,4624128,1996472370,851680534,107383488,1912798336,-2130594807,71246,11803115,167777768,-1273990137,1964025857,605225986,1946364935,-1023233022,1586158387,-1866235642,-1672428800,-1975458566,-465509152,1019488832,-453609510,-1017602752,-1342048582,-152506720,-230823885,-2065258320,66370299,-33686036,-50463235,-1073082588,1458242420,233603984,-1070338933,918870158,1085800568,-958886400,-16760826,-969403160,-973076922,-402651322,1187381401,-1830289146,88524288,1553262592,-2065256528,-1341918534,645983756,-2081423297,-1280307772,602464394,-2030558173,-399265568,-1070390497,-930359157,9444874,-973208972,9518602,-973208972,208989450,-440349186,30244870,1060360,1104734458,963985576,-1975410456,82362592,168813696,-2045807397,9955548,-393017227,494141585,-1280307477,-941039478,-2046555102,583395524,-1975409176,550273248,-1192718672,-3933406,128976246,-1270755864,1106307219,-956371480,1187381255,-269996027,88524379,1541990408,199754935,108956226,-1186855448,-85415829,-503024330,-399250439,-1460863284,-2146732784,1946158462,89062950,129291243,2122318256,91553797,-348034328,-1332497401,1098180609,-1996580376,1100277799,-1879506453,1019413830,1007318016,-1341885183,-1341985901,-1008715257,1867385357,2035494254,1835365491,1936286752,1919885419,1936286752,1919230059,225603442,1885696522,1701011820,1684955424,1920234272,543517545,544829025,544826731,1852139639,1634038304,168655204,906628388,1143812656,1701540713,543519860,1953460034,1667584544,543453807,1869771333,604638578,-1191181637,-2135884312,1910796518,175505212,1951134946,-35079931,-436212501,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1726778197,-65121456,-2048523856,-1912316277,39750619,-75489397,-1341491728,-8067566,-1511456186,268140801,-1341361147,528803348,1566074459,-1341785623,-393943533,118381863,-1156341569,-611450752,1711284239,4389,101616512,-511613440,15,1723927398,-1070373205,1711282337,1745323,650029926,571648,-492083539,-266268677,554675046,1722509048,379699251,-1096063488,1722613788,1726516395,1725992107,309675,-492083539,6340347,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322778,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,5160619,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322772,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,12084907,1711313408,-1070373205,-524162932,-1196726780,-1419313153,47206,-1419378542,-1933560986,81838560,-4674714,-1096063233,862322760,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,4374187,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322748,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,3587755,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-391420412,862346121,329302015,1528760079,-815966106,-1633050967,-1752459381,-1751345268,192349500,-259267534,-13703471,-1013485404,8857216,1977289455,-2029092859,-1007153152,1960512082,1662421778,79856384,201352608,6660616,-1961825298,-2097126634,1704985794,-1560861696,1525547109,-1500331016,-1396003714,-792428544,-1962301510,-1033008376,-1738237777,-1928615972,-781808389,-2094880769,-2094890206,-1753447638,1532582488,526212958,-12537,-1,-1,63498751,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-739639297,-253,-1,-1,62646783,1962230504,1228832816,175244288,4800128,-352095225,-1360490369,1662421802,113410816,-1460871030,-84183807,1946265836,-1429959941,-287114425,1228832963,124912640,4800128,-397314809,1202334337,-389808926,779416823,4800128,-2146995708,117459262,-477481358,-1960155928,-2097126634,-661977406,1963043052,-1460864261,-1946455039,-486822973,1048626159,1912864841,1228832775,141887232,921232266,-1012141270,-1976937752,1049232990,-896794551,1858001550,2042628858,-1898827000,2083964378,8332544,-523116335,-268181295,1946615680,283935587,106415243,-946940020,-125086895,-1258036352,145861640,-489561391,41148624,-906046710,-963972491,-22289782,1541830093,-1939929254,-1176990000,-192217084,2046546093,87238147,-20479573,-70210273,858129273,-276714747,-454942798,20901761,-2082966198,787157188,-779361398,79289995,-1393325312,58326224,-1442500058,536856449,2046611628,87172611,-1309703766,-2115706337,1241595887,-1195124619,-386086912,-2143485871,-1191676193,-661725184,1065474867,964012629,12187187,-670913152,-102573054,1085806708,-2133291520,-16772594,-1152384838,263829338,760342528,1085805547,515935744,62445710,-326414336,1476419327,4241496,-1899767666,-2116340776,1974097215,871773026,40864457,-779361839,-489160020,-1321306629,1391121156,-1912586056,-661774656,1342178232,861271179,486487789,208989451,4241438,243325070,536805394,-661890979,-611558881,-1019487741,-2143478666,-350522657,503734293,-1152384838,347715724,751691776,-1168046305,-661913472,516145667,-1073694714,1962944488,-947897081,-1070336394,516103943,-1073694714,1239120,1342665818,1273545355,-2143463424,133002951,-1896037601,-2116340776,1974097215,871772973,40864457,-779361839,-489160020,-1324780037,-1930767612,-1010695208,-1172437408,-1933881344,1358264,523001576,-2135269113,64523264,-1009634366,1085855886,515935744,1342178232,1593830539,-1021356032,210447953,976111174,-502959068,99350775,76164678,-3974663,-1288523493,-1221151308,766556600,1904806077,1953654135,1869182329,224222064,1685283327,1785227110,-1480889237,2052915168,1651925880,-1364431506,-13959249,555482912,623125312,673850974,137060137,436210447,477961083,674899725,729688354,876360572,960443710,959985440,909456429,858927403,863792,-2075560121,1951232843,1985049935,-1907716792,-1873899700,-1840082608,430931,520887815,488315674,472582684,-1756954614,-1723230136,-1655858357,-1605329073,-1571643055,-23725,-436096944,-435113851,602495108,-148571571,-301677949,-297607034,839248515,-289109276,-1396375998,-169719058,548988415,105352711,12189491,-1951665376,55020055,-1703954,-1,-1,-1,-369098753,-65398,-1,28313168,397444582,1085834470,-1329558016,-425662944,-423611872,116795120,1948254359,645932555,132055191,-821899944,1448302076,-326951343,653036304,9899648,7788832,105286555,-427691893,-390004721,140413700,-268377215,-661732597,-1409281863,-131800950,91543612,233567714,-14308208,140935431,1175058432,1725537032,281314048,1532909855,-816314531,-436096944,-434720635,-434065276,181229728,-1202708785,-661782464,-88067496,7341702,7212683,7083659,-1461116933,-1202708895,-661782464,1846446586,1813416192,1879492096,1492844544,1636690207,-1342170904,407431168,45150346,-1978121752,-402345784,-393603014,-1335790871,803797514,1954588696,-202638589,-1054525,-427163472,-1340595480,-387872254,78649371,350807434,-401887208,34347018,-31130844,41210500,-527826676,-51901520,1630660887,-1325417240,401401863,145805450,-1978145304,-402018064,-930474018,-672648528,-370636265,-1696046833,440575,-1340616984,-387806713,145758151,-1058478454,-1979076585,398059745,-1343747152,604113943,-1327461637,397010955,-443927888,-384326936,-1325768489,395634699,141828264,-1070375941,183033,-2081944912,1971365911,-1979600649,394127590,-511048784,-1340639512,-387610107,-1578887313,-1578697180,1609042864,-1977611241,-401887008,-1863772325,196147808,605507048,-1327461665,390719499,-1973387543,-198919709,1976009964,-209000436,-855705886,-2135625867,-1023363901,-20987853,92874255,-101058055,87631609,-101058055,246465529,199817884,65539607,-1878856960,1975560399,-1325753326,385411117,256014,-812645653,868417828,-1901018176,-471270756,65539606,-1878856960,1975560399,-1325753326,382789805,256014,-812645653,868417828,519816128,-1912586056,279013080,-14326272,1711276287,-432820144,-1468930960,1951950368,878086,520159232,-7935805,1048602740,1946288201,1228832777,41157376,-13412117,1958725518,4622848,158597180,1182073148,-336534344,-257640445,1946499878,-1409614791,-72628084,-1979685472,-1962908122,-1191156970,-1595408372,32815880,-2094580248,1704985794,263515648,-1260071704,-456136701,-890764620,-402541340,-54270779,-464474778,1480632417,-293395084,76113412,1220038686,-455569920,216042081,-1973295608,-973078506,-16777210,1642513542,-872865960,2122381191,393543686,1966383336,-432820201,-1468930960,604533764,204961276,-399250684,779302043,1949611240,-1608204741,-1472919832,-1102023679,266903593,-1975547150,115835103,1946484608,-1607221698,1958798208,-1607549386,616444395,-33246048,-30903092,-2094762808,-202701370,149191,71747328,1187381248,1187446791,-956301300,2630,1966353640,-397808836,-596495256,772558476,-1996270453,-617412010,1966347496,874637322,-1976695438,-1979764196,-1976696226,1854407276,1284124165,72255489,17254086],4082,[1966350568,-242685937,1962950528,-386431225,-142085503,-2009849880,-1070397866,-32086399,-1007187969,-81327871,1326383648,151200021,69280335,557600530,-843122809,72780704,1966321896,868083759,20719218,-964486540,1946303494,214336266,208929596,772195971,1946244155,113672981,22297390,904596596,678690876,22297390,333985397,4161777,-142145675,-2014180120,1418342135,-251598845,1317803912,1418407436,173443332,18245249,-339725568,374243604,213123073,451657778,18239105,839693312,-254482240,1962950528,1358399241,1492241640,-142084217,654901699,35715987,141829897,1326383649,52499733,580341513,1325990689,69283735,1008160530,-223,-1,-536870913,151135490,-162463958,-2144925681,35979999,1358899721,654839798,620945216,-15003902,135263828,48169039,705233445,267800831,-545239288,151135490,-162463958,-2142304241,35979999,1711217426,1325928438,547588864,950348288,16776960,0,509606656,4243280,20766606,494154615,10487542,-2144701183,16818190,-100642328,-31153692,-386162202,-336068576,-1610156523,57999616,-401871880,645922851,-335675232,-1269237503,-899735808,-1325793278,329050123,-1974452212,-401887008,-78113897,196147907,605260264,-527806273,-2065167440,-1006938093,9969289,10094220,10229385,10358409,-92013629,1242002432,-2035019916,-466435079,-335412806,-1930825692,33667584,1007625452,856323343,870003648,-338545719,-326937224,-1997763826,-386269114,-108330899,-940699728,3142,-1995678069,-527824290,839853292,-1961789984,5236959,1586092331,173947660,753656439,1055448971,-153539840,57934276,-167616887,57934532,-167485815,57935044,-167354743,57936068,940072585,-1267400634,1532516603,1566399065,82362717,-1056642111,-356449047,1355020292,1139146928,-930463516,-393592604,1610335064,1086018334,-153383424,16818182,113651317,100728992,512607118,468189344,-453376001,-335666015,-436147456,-437716063,-1610156290,-109805568,10495616,32241791,1595890681,-83885366,106979167,4241438,646568078,378273895,11534441,-202866458,520516608,62152967,1552808911,130491936,-930283521,637853889,-1946007671,216580552,71796774,88589862,677154202,-16267482,-1043297025,-1993997088,-796130745,638380225,637814664,-1845147706,-930327034,915259534,-454515310,-388986112,123601127,638082189,637687689,637814664,16713671,-427773702,17770096,12707871,38242598,637584104,637814664,-63545,88589862,17770130,-536801513,251658509,-13701119,866208046,-805302336,-1912592200,1095888,414767246,-54489600,-13371853,1894121648,1726599505,-145119757,1946157505,-2135907071,683176166,-1898410496,1724944064,2101072,-121498,571441151,-363305472,-268393512,503385902,1558946129,1212868858,-776988299,1105749222,-1341098680,-396302625,125126712,1692860336,-1018679320,1642332852,393494696,-397390258,41156918,76088459,-435680168,-420010911,-1979599775,-343873852,-1044345711,-972880672,-1047768637,-389953909,-1044315388,-1017574168,-1912586056,1763086040,1730579200,2942976,1894121648,-2040461537,-2038373180,-326412860,209052682,-33134975,105808383,183173184,-1090099583,105808383,-815988735,1967633384,-422465509,1202382948,-575663499,-1578606362,-1341557433,-396040449,74729368,-2132409424,-1335926845,278980657,816898186,-820995608,-396402693,108330798,-889585740,1408958466,641227917,-63545,-524171124,1200170500,-1043821566,-2010772248,-970587065,1536820551,-435048198,-423130592,-435900383,-436096991,-419450847,-435048415,-423392608,-436031327,-436096863,-419450719,140283297,385945382,638606477,1428095247,1187507339,1560293380,232784143,17760257,788475632,-1070358195,-1194328049,-796000216,-1912596296,2144472,-466435954,183032,-1207558573,-661782520,-2147479365,1971324543,75464751,-2094434880,1962934911,2145059,-1845147706,-1912594248,-2049088,639601446,251660279,-4717195,-1207702784,-617414404,-1017438457,-1064384372,870774203,-1543453760,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1588592640,807731216,1479556096,121378676,512431474,-478150640,82559024,-1976631502,-341294457,-1576554494,1235222601,-1342129408,1006875834,-1157204985,-725960704,-1983672829,-1744805098,-2097041261,-2081553214,-1070398230,-1577038173,-1976696734,-1549266297,-472842166,445090606,5022632,-1976636463,-2136462681,1705000932,180364288,6660804,849840686,1713801384,1095936,7989254,174885414,189565478,603998624,1963080958,2088773141,242552073,1206437258,-1964471808,4253889,-1995978614,-1610588146,121372745,71042932,1929380024,119584771,12189491,514585376,5291783,146391091,-156503296,268470022,-189069708,515958785,-2097125984,-1007811390,2041169,-523107407,-235532623,1913126016,1505820162,-1962986813,503335198,-561056205,7616197,983534126,1458766760,-374885699,1593570347,-1064380276,119849759,-1744805214,653742672,1319305292,-779003392,-401820439,-782367449,1351388134,84470016,167798432,-2146863617,-534503453,200000266,-472775247,606135168,-1564276001,-1031602074,-1597772283,1183318089,4890624,-1610529144,1183318114,673760007,673730640,134238288,268437504,1073745920,1073758208,673988608,774514989,808462622,808464432,12351,538972176,16986144,466618115,-490529840,466623440,-1784610988,-22733872,466676103,466623440,-279475805,-261809200,-129894323,-415634343,-399574951,-406786094,-26286350,-11272365,-272109404,1251409920,466623519,466623440,466623528,466623440,49808376,58196924,336855672,16847892,1966337,816840766,1085834470,-1950315008,1509954334,-1070338765,857735358,-1178235137,-1410105344,268486017,-277680581,4241490,512344206,-1070399469,-2134916978,5290240,-1765881716,-1415237976,-1070335774,-2134916978,571649,-1426063176,-1325604181,864347697,-1094676800,-1061181306,571649,-1523660660,-1325669717,-1098586574,12560454,2144512,-1523660660,1476125355,855670463,92874432,-432820129,4241540,12245134,1015079954,-1979550412,1914079696,-432754688,-1181698940,-617414626,-997535181,-1978932760,-19266608,-1326193980,198502575,-1364143990,-1978937880,1960000496,-393301998,1074531266,-1901010806,-1341407512,-1333467595,-1148918218,-661913600,951107726,-1732344602,49064,771752633,1111659181,1962884332,46628871,-1416476086,967896546,-1665235738,573352,771752889,-152268115,-527765808,1975794412,1086816261,-337466478,-2065286480,-1079467330,112787576,-1523649792,-109721211,-1912586056,270436824,-432295936,408545412,8851072,-393301996,1084754746,-1380970379,-1475661336,-2146995195,-83851482,2008748523,1200500410,-202053626,645924212,-956628857,402686982,199791792,-1976556533,-1340190496,-393943470,1478488125,-58716300,-402426880,1404043573,1055425766,1085850608,-388461056,158475740,91555132,8857216,-15365,60746239,-2065280848,-1912586056,-430853928,-393301884,-1062729026,-4979340,-1332737301,179366036,-527814620,1387273808,-488078106,1951932399,-1869561072,-622328972,-430723072,-270276476,1342578371,1962123240,-1900006644,7651264,-469383386,270958832,243322624,-1271922672,-855134208,270958608,243322624,-1272971248,-855396352,11200528,-1340143784,-1115363756,954837753,1346380801,1476403432,-789177229,-1336917980,1485104725,1929384168,-430526451,479455364,-400787736,-1161618317,-628376969,168805251,-2025818688,-1258180397,284983312,61870196,-58711883,-402164704,61866053,645931189,147783696,1342181422,1200500307,-221976570,41179227,-1336884231,1485104727,281870516,1405337651,1949367424,1304579,1052288,-1909564624,-1679292857,1946661106,-1329333799,163113102,-527818740,-1259827536,1487979273,521045222,-1329956933,-1903892903,1944585799,-352094990,1521520751,28345574,62406529,28312181,-1326573685,864347739,-1946209326,-947188401,41665586,-1036861186,871621290,223316991,-1003305077,-1057095045,-508640718,-2147125773,-713687054,-2065277776,-1409565284,871366633,39291593,-186118476,343186688,-2065277520,139955027,1334495539,174033676,1528507112,-2065277264,-2129673341,1941607931,-9180925,-2065277008,-423579453,-18076,44590308,-119405452,-4650005,-1469782785,-502237951,-1206862856,-1124065863,-1628853159,-453055717,-1704096,-1,-1,-1,-1,-1,-1,-1909331201,243920896,1235222624,1023288320,858420482,-975466789,-2147453898,1963792764,415364892,-1961462504,1625522649,-389707168,-393609199,183026058,197691904,-401951541,616759359,-166808561,-773271068,350802408,-8338688,-2042071289,-771804421,38702051,5279625,973103776,863307590,-2034224302,1244067781,-1580727552,-388956082,-1269118973,-289109490,-339375550,-301929728,-1966801334,-352261180,-1975325184,-352261183,-1018499584,1122944138,15451530,1257111787,-997538562,15401195,-1047903506,15401195,-436253970,5814302,2025576590,32553715,855642296,-1387282945,-464961815,-435418015,-420273055,32553569,855642296,-1385710081,1933223145,-396929525,1583302963,1273699186,1084776932,47206,259325952,-201524351,-54852236,867625971,1354964928,637897254,1642333576,1642466316,1642525476,-1072994728,854071669,-2132769063,-164425756,-590347087,-498727565,854995961,1712843712,644220043,-141884109,-1476393799,1711764991,1174988993,-930417182,-115353973,-61,-1,-1368195073,-1364808040,-1339183193,-1297895330,-1331907933,-1364807454,-1320570969,-1297895055,-1321487709,-1297894887,-1304120669,-92229008,-854428800,1436307520,1183575179,172394754,-346514083,102654024,-326434710,1981152384,4241418,1726535822,-2127631612,-124314,1724033,872217346,-992440640,-167705546,74711490,18364100,-1912586053,-1965519909,-472836770,-426246354,520554413,1720242017,1948682261,-855592448,273058368,-2143510748,-2126769806,367529335,49211415,95683955,-1023026456,-2013236064,646452294,1720189044,-622279915,-397184507,548406503,138737190,201487552,360611841,202470666,-1977200638,-1073084604,78643829,1476413064,-402634590,-1030879985,2142697611,169180800,-1005975948,-956431755,-2011929078,74711398,74901050,1256917428,-402275608,1114768850,1912856040,-386364867,309528068,1947335808,147322378,300428404,-400037115,753403219,-400592379,2122319108,91556373,1912931560,21954065,1190643061,1962934554,86566920,753402859,707445509,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,-402416407,2104624345,-1341921560,1156982320,41205768,2122318092,292883221,642777612,168248458,-1342016064,4622340,4760152,-1241248024,360611967,168195083,-33393212,342231750,1946248840,1994799620,-351685628,80078900,-1962677528,-386888742],4083,[-85457845,360611843,-402295541,426902526,1912913384,46721044,-236449934,-32869884,-613088946,-352042520,71690243,72607939,1625827442,641773571,-1073199882,17564276,-402634590,-2014837641,-401640956,175243922,1912912872,68216837,350749675,585679620,-399150588,-1977220305,1134693956,1208403456,1223184384,64350212,1760042610,-1948611837,58452208,1912883688,39118863,2112359026,-402296316,65733586,-1023158552,-1575729527,-1974271884,-478146466,-2114223969,-1995606437,1183388230,-402148336,636158903,1208257318,67059016,-4717706,-1059027453,170264288,1183387204,1686775314,-1597178366,1183383669,-1628912880,-1974439421,-1977216930,-805436804,-157233280,57934275,638635904,638475402,-1056619381,503710440,4374279,-1430025558,-1968569936,-1968526652,96905927,-1662515311,61663235,-1209528462,-401968639,91358176,-352111128,-402148347,-389872841,91358021,-352115224,53078019,53995715,1156063090,1208403458,1692954624,57993219,2145914738,-401968639,91358120,-352125464,50456579,51374275,-58718093,-385649407,857604247,-992440640,520160310,-972944664,17670,4589254,1193705472,1139335168,-1163874303,-387055114,-1461189759,58452223,7683712,-2145947134,268453646,-1342102040,32946864,56879342,-385905944,1719731037,-956301798,-402647738,997331855,-1900006626,70698200,-2135744767,1929315304,3532842,1048585586,1929511029,552335363,-1900006626,406242520,-2118967551,1929307112,1192132618,283643904,-1274711296,39446533,40364227,1961369458,1208403457,-1796730880,44361730,-1343746190,-401968640,91357912,-352178712,36825091,-1022081400,1912749288,21620771,4720326,40495248,1912764904,8710163,333975154,-1981533695,20714566,548668788,-1023278360,7675530,-1014969346,274606720,1183386483,306612500,-351254903,340182809,-1977220352,-165281212,-1960440220,-470332644,-1995422071,-960294314,-1275063226,359041025,7612040,18501249,669565696,-1977519616,19140678,201646272,32946848,1370350,547884658,-860617612,1084753643,-1431042699,-1023307032,2145931603,1979661312,-339442172,441111,-1460394823,-401705856,1743314592,1274339840,-2135626123,-1017423367,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,1344940586,4241438,113694862,-1325465458,-434051552,-1900006496,-1862223656,1411317660,-816308480,-335415366,-1023374174,67112970,37756928,-335416902,-1275032158,1960256544,1824413200,1927336115,-102021629,-2040615890,9281760,1149970115,48808197,-1979694430,1134695494,306612736,1151483684,323389952,-1979693662,-390065594,275155462,-1067391872,-1005976596,-1979693406,19140678,201646272,292981408,168814208,4694726,138709542,-301730118,1095875,50489079,-763359674,-490647552,82362636,626577419,516096015,12180366,32553473,-1021349901,1317727538,-578361344,1929300456,3270672,-1910633614,-1172329253,-487718416,12174312,32553473,851668467,5147373,-388145176,208862882,1912605416,32553479,-320689428,616124867,-24319756,-138801038,145288193,971507829,-1259085091,-1017513600,855570920,340167140,359041219,1328838,7612040,18501249,-960235264,36358,7612040,7677578,292873226,605046410,1954561183,1959591438,1954626564,-33822714,-1173230599,11535350,284092654,1929248744,7071747,-1101965629,-239468478,506113,-498930004,-1017226757,857624915,-120025408,-1668284232,5512959,856322847,-1912206656,-350522112,-1145031914,616103956,-1912206604,-401902336,-169681764,-1259375285,113703296,1493172366,547930971,-860617612,27791339,1474823540,-1475941378,-1274842108,-1178339055,-138742748,-322948351,141889704,-488872984,-109005578,66501315,-1007811920,1910796518,-1972312381,-1015945532,-2065284944,-1912586056,7512536,876380390,-436272523,-4987509,1891499827,-769201739,-2065284688,-789159452,-527822812,-452984903,974136417,-502238012,-1232290826,-1124067143,1659483541,-1327895790,1719985730,12250419,28861952,1711276032,12174643,868388416,-781803777,-492083504,281444601,536935041,1135667314,1642366182,1642466316,1642525476,-2065283920,1711276223,443,-583834112,-1966765210,870289140,1073789430,1721689738,-1969237039,1722640116,-253639885,1169179765,1642366182,11583656,-947840139,-8318976,-781049856,41635174,1185973483,1085834470,-2585088,-1107348508,-1209420243,266567889,78771763,91478992,872014406,-339725578,79269905,-1460589824,1711764991,1174988993,-930351646,-2065283152,-561195381,-1124073281,1189721701,-1230587120,-1124068935,-1997949327,-1963005167,-31182267,242549308,-2092149365,1971324098,1166704718,-1007030706,758263857,1953724755,1109421413,1685217647,1767982624,1701999980,840960525,1294807344,1919905125,1917132921,544370546,758329394,1869440333,1092647282,1701995620,1159754611,1919906418,892351008,1835355437,544830063,1869771333,537529714,758591538,1635151433,543451500,1869440333,1126201714,1768320623,1634891111,1852795252,1109396746,543519585,1969516365,536896876,1969516365,1092642156,1867325440,1701606756,536887840,1969516365,1126196588,1342835968,1953067617,1749229689,543908709,1342185521,1953067617,1749229689,543908709,1056972850,1061109567,808517695,1330785585,1917132877,225603442,808722442,1867328818,1751347054,1701670770,1633960224,1919251568,1767982624,1701999980,891292173,1143812400,1819308905,1092647265,1953522020,1176531557,1970039137,168650098,825242400,2036681517,1918988130,1917132900,544370546,1411412591,544502629,1954048326,543519349,1953721929,1701604449,537529700,758198323,1652122955,1685217647,1920091424,168653423,875574048,2036681517,1918988130,1919885412,1937330976,544040308,1953066581,1920091424,168653423,758329395,1652122955,1685217647,1852785440,1819243124,544367980,1869771333,537529714,758198326,1802725700,1702130789,1852785440,1819243124,544367980,1869771333,537529714,758263863,1919971139,1936024431,544370547,1702126916,1869182051,1917132910,745697138,1701597216,543519585,1667590211,1850286187,1818326131,1769234796,168652399,825241888,1328498989,1297044000,1920091424,168653423,842412320,1937330989,544040308,1769238607,544435823,544501582,762602835,1853182504,1952797472,220819573,538976266,1850286112,1953654131,1095320608,1397706311,541280596,1802725732,1702130789,544106784,1986622020,977346661,824183309,1395470902,1702130553,1884233837,1852795252,1917132915,225603442,909189130,1699556660,2037542765,2053722912,1917132901,225603442,909189130,1767124275,639657325,1952531488,1867391077,1699946612,218762612,1378361354,1297437509,540876869,573654562,1497713440,218762537,808656906,2035494194,1835365491,1768838432,1699946612,1769108835,1277196660,543908719,1277195113,1701536623,537529700,538976288,1851072557,1801678700,1937330976,544040308,1953066581,1667584800,1953067637,1867260025,168651619,809056049,1936278573,540024939,1869771333,822742386,758200631,1802725700,1159737632,1919906418,925960717,1143812152,543912809,1631985712,1920298089,822742373,758200375,1802725700,1176514848,1970039137,168650098,842544945,1936278573,1866670187,1869771886,1919249516,1767982624,1701999980,908069389,1143813424,1701540713,543519860,1986622020,2035556453,1159751024,1919906418,1968318509,1699946606,695235956,538970637,1226842144,1919251310,1229201524,1330530113,1128879187,1936286752,1953785195,1852383333,1769096224,1092642166,-670429894,-1272327165,12058864,515344992,62406656,-254531148,1610657792,2209641,-1164198640,-1327962647,863037070,-1334712640,-91822528,-2065297488,-2048524112,-90066,-1573990154,976158718,1979710982,179986,-373634371,-478098150,-1160528449,-53689367,-1896873800,-419450664,-1147017695,529268704,251660279,-491058315,-1960866817,-1899723257,-435375896,-435113887,-434982780,-431837109,-426594229,-423611829,-430657393,-434982845,-432623551,-436162493,-436162496,-1173573568,-1326578702,-1333467631,62437889,-1174294290,-1158806568,-1158937670,-1158937638,-1070464064,-1166558226,-1329893697,-300446975,-1979418741,314114647,-1151353600,-2082435863,-92207678,58000345,1257124016,313583615,2025686246,-528291397,1468713267,-1123109886,-1813398651,264471537,-1164575871,330349170,12158182,-490720511,-436162308,-1975458749,1027663072,242548736,-1179218757,-1262682088,205777339,347143915,-1951365914,15429862,15401195,119828964,-1951342454,-997560090,-1934593562,363884774,-1917811482,15429862,15401195,-2145095196,-1901010806,15429862,15401195,-2145095196,-1971272458,-2146994720,380666060,397444326,-1901034266,-997560090,414216678,482182374,-113972804,-215719452,817390054,-1127182848,430964992,2112390374,-424824596,-18076,44590308,-119402380,-1179119429,1287454749,195815868,45743851,1365304320,-401372997,-463926818,1946265700,-1141972464,498710544,-1133527808,-351565591,-412292866,-1326586904,-393943526,464580086,1676182758,-434327354,264628356,-2065293904,-1341131288,-393943507,514860139,1021871334,-434130925,983427204,-2065293136,-400937240,-873985165,724035639,-433999621,279832708,-2065292368,-1340992280,-393943518,12521891,-1126712064,-2134176279,-75448093,-1341491904,-1115363650,736738537,-433803061,-1335827324,-463149360,1946331236,-453448958,1946265700,610329850,-1963776771,-422465312,-1469782940,-1963297534,-1335826748,-393943515,649122962,1810400486,-433606650,-1158893436,-1326578754,-393943512,699456641,-1947695898,-433410011,-854608764,-855591920,-1973296112,-429126432,-421493151,-433344415,-401690492,78182374,12192884,-1188447456,-402646343,-1578890793,-1578697436,-81518108,1085809126,-958886400,4614,9834112,-1777434496,-386260992,-223334756,-1174707994,116850687,1948254358,-956833273,38406,1048676068,305397874,1085283188,894953552,1968750602,-427815934,896002182,1273402032,-351677464,1967171639,1971365892,164030471,300613808,3948324,876349042,99287671,-1341541400,988303360,-1833895371,1012419558,-436046848,1913046858,-82706432,-1341548568,-393943508,432878370,2133116042,-1084815602,146390876,1605300736,-385649416,-58719947,-167086806,33592838,636027764,268483329,-469056557,-58688647,-2147126102,175486716,9832182,-385649662,-738787064,1975057536,-1777928664,326369792,9840256,-1775861513,116849920,1946288152,-2142966974,-50325466,9832182,-348883960,-1644396490,116796789,1962999958,-1777928662,326369792,9840256,-1775861509,116849920,1946222616,-2146374898,-33548250,9832182,553940228,-117434594,956072131,116793205,1946288278,-1777434612,645924864,-335740778,403603461,243270144,-116916201,503087299,116794997,1962999958,-1777928675,208929280,9834112,-1775861756,99351808,1576576,386826241,-1007090688,1515141,503924597,116785175,1963196439,1392279612,116798325,1963458583,386332214,276038400,9832182,-166234878,536876806,367726708,9832182,-166824702,536876806,645924724,-343998440,389951492,1392279552,-1007091340,908729656,1178942034,1574646,-2146536188,67115022,-393936712,365767574,-2134640315,-83879898,-343604808,8240110,-116895512,-1326402365,-401695741,-239851368,-1847062884,1962884136,8239904,137619536,1946172504,1946237972,1946762256,8239884,-1157202456,451412093,-2134640376,41287676,-58672149,-352160428,-721649517,-1544879499,1967520896,-1873810685,1975057536,9955587,1966603392,11266307,1968372864,13887747,1967586432,14084355],4084,[1946307048,354826791,-2139982848,58020860,-2147450647,2020871420,1966341248,-385830907,-58720004,-1341819596,15919361,116835320,1962999958,386332186,-260832256,1509110,-385649656,116785310,1963982998,-2147095585,-33515994,1576576,-1343686136,-2131016406,33573182,1048577908,1963130953,95965193,-855526465,116807696,1963458584,1355020793,109494323,-1065091047,669516660,-1662298093,-84549399,-81103384,-165026071,268473862,116790644,1946288278,386332181,242549760,9840256,-167056387,50337542,1810432885,1206450943,97338666,-154928645,-2147477498,-1007091084,116835320,1946419223,386332407,-260831232,-1763052880,386332160,-462158848,1509110,-153258744,268473862,116788340,1946288278,-1775861553,243334400,-394264463,-386268857,-79353354,-1070392371,-1078696469,-315420467,65651705,2028210943,1006403635,-58708356,-2144633276,91510780,1968766080,-164319201,134223622,850408821,1509110,-1339263740,386332208,594871040,535506608,766559224,1509110,-1340836600,386332195,192218112,116791728,1963130903,46150146,-390057248,-1007087058,259580938,1195164810,1396442236,113641342,-134217703,751078083,-1685996729,116840238,1963458583,-1685143979,1509110,-163416828,50337542,116798069,1965031447,-1777928682,225772032,192687676,1967979648,-336547836,-155176446,33592838,645924724,-1325596522,298379488,1139523634,1509110,-338332384,-653465374,-646782838,116798699,1963065494,1949187119,1965767817,3729418,-256321931,1020193614,-401967827,-931856342,-347410248,2083531968,421956287,-1576348416,-1007091687,9840256,-1682391299,915126251,909836314,-1012072420,1509110,-167414776,67114758,-1577411389,446890112,1876736,256014,-812645653,-885397309,646589300,-58720183,-2147126780,896927468,-1962891032,-2097126634,-1460926782,-84183807,1946265836,93005563,-83868023,1227262659,83656704,-327154318,-401967610,-1960443779,4622597,9824451,-644955764,-779290741,-326909554,-1208186104,-1979534588,2046611460,-1963947501,146342228,2044907776,-791611135,-169680175,16155050,1976303136,1355187166,-713699330,-661731188,-1946521922,6940924,-1070390669,918935694,1397751932,-611530612,1482408763,-24967819,-1962314752,4843772,-2147220878,-1995914109,-1950154682,853510904,5022207,-796138505,-1618222127,1251999824,854062592,-775748609,-1748892704,1344179139,-2033044736,-772043814,66048495,1225193211,41222656,-100408623,-1949922365,-1158860065,-1957298048,-1308914704,1957163780,525579,1592816970,-1007042509,-1312412834,-1008151805,-1912586056,-424628008,-1564462460,-1901985675,32684544,854480304,1430056128,-1313864076,233538790,9113216,15001601,99091314,-424103936,-402209916,359858587,-2065255760,-1178992453,12189726,57272320,-352210200,-424431573,-1900006524,1053042368,-2135817980,-2147476504,33584446,-1263529358,-1070365466,-1004093298,-1308551106,190593,95929095,314114739,-854543238,1376875283,-335415366,1971365978,-2130935784,82513780,309661864,-489855000,1976303328,1976565465,17426643,162815211,-177073203,332206516,642927986,36504971,-1964471808,115458252,-2147366528,-457175836,1490323972,-1977167862,-822214027,-855375432,-2145684717,376703740,1947335808,284983313,-1047917452,289149220,-1040315020,28958443,-854805504,-402361581,-1007091566,-1612149072,1950394608,-424169462,-117395068,-1332708885,-259200878,-311115766,857659530,-1899459648,-1060926760,225707240,91557692,1877514672,-20840720,-166677048,-469695003,17081338,17174156,-1014317005,225709860,91557692,1273535152,-20381968,98956993,413393921,437160961,5021953,-1593769821,44236878,1275512577,-1943137792,-956281330,1124194310,-636580813,-2011170047,-1023380210,-2065254992,-2135314245,57966842,-1179008069,12189715,33417216,-424234813,-1175733372,1954675328,3794950,-1179003205,12189717,31582208,3860675,-1174387480,1018888695,-198919936,1954588908,-870389748,1967912674,-343886608,32619018,1946238188,-115297277,-1901004093,217034216,-1327461880,-274077554,568640507,568785700,-1088118300,-1195138586,-155582464,78704131,-874583826,-1007812432,1381061627,1428051798,1086254219,-2116121088,-1962933278,83656946,-1668676493,-422510468,38027,880071179,91612292,-351989016,1976368683,87746565,-855760149,1575486837,-31855867,-402295348,283837727,91606270,-351946520,1976368647,99936259,1583292253,-816096934,-1,1793720319,1392513028,-402652741,-1017446398,-397324203,1482227716,-880032931,11598492,1088701414,1088741514,256014,-812645653,-661928826,11598492,1088701414,1088741514,256014,-812645653,726910086,1358660056,-529376503,-1950103838,-436162357,-1975458749,-2042567456,-1327985724,-465312256,-455046592,734299712,1358660056,-503025143,65404892,-2015040552,-1947629838,-1176073255,-355270652,-1107295559,652986049,-2116777072,-1191181342,-792854524,-1877480506,-2010767184,-1434451835,-1177318585,-457310206,-1878791226,-1191385601,-1064390656,653733522,76727853,1075062672,-2054674905,1202356224,-419435806,1381099910,-490613109,178440,1509955816,254593,-402651975,548405261,1509994728,-402652487,-54329343,653733522,76727853,1075062672,1347506727,1476433128,-387818919,1085808323,-958886400,-16772602,-162442465,141869254,-2147462936,-202686226,1949353718,2746376,-351211904,777738739,-397211766,1130037341,-1966869022,1390957319,-498902272,229688310,-1342158616,4450314,16432067,-1157610264,-1679294208,2109457406,3663872,-402620997,-1144783218,719848224,16825088,-1006730776,78768266,115927250,-389707264,616759297,663749647,-400080876,-1144848383,246677511,-1329393459,-1337727306,-1337792968,-465377787,-436007839,-28776351,-64724508,868442598,12123391,784371376,641927050,-2147449464,-203274326,856090111,12123391,-1967092048,-2010758393,-1434451835,133489223,102654147,-2065248080,-1912586056,1730578904,1763085312,-422465536,-1197283196,-1427569804,-422400000,-391008124,-527766282,-269963088,-1143852052,-201916352,280230026,-402613784,-1918780353,8389888,1086050867,-1963723008,-1944155400,8448000,-1329807896,-1199249709,-661782488,-795950962,1711284239,-475,2232191,13147626,17772272,-1331605218,-1199249708,-661782464,6887054,6760075,-1579433496,-768409581,-150978373,15859,602604405,77200,12253322,16744464,-1030875788,-1178586266,-13418496,-1410111748,-964636674,132573968,-1161600737,-1933901824,1751478,-184661272,1464947536,414713374,-942109184,18950,16744448,512236404,1220018252,1723895296,12173363,-50384064,-22285466,-339476785,1595869152,-1017619623,-2013213464,167788838,-2130348828,71246,4623043,4269706,91546634,18239105,-956644608,-16760826,1317671088,216060422,105253388,4138634,168092864,66239172,-1595897106,-390070133,66566662,82624750,603996064,1959016975,1059457072,-1191642368,365793533,2108695410,-1977218895,2122320476,141820673,83984000,95486581,41146682,-470361722,2078857355,1371798524,-1190923078,-773324612,-2136412985,-152959371,82542768,-322452504,1497409602,-1594062141,1177157701,652267525,-1979423498,4628696,638010922,33842422,1191576259,71707136,-1161566326,1067451378,1947149312,-1461137390,-1342016508,1059490307,-771444480,214174436,1978199560,1042710727,67895296,-198919698,4065014,-401967744,-186464416,-335970124,1042710541,652771072,630188069,-1195121614,1727463440,38142732,-100609408,82185446,82232454,-661928826,-2115583350,99008907,99009670,-1006910330,-1073250678,2114585319,172025862,-402293110,-3995078,-1,-1,1358954495,-1595531088,196092134,-1964334616,-401821472,-1004344678,57950376,-1476391192,-402426848,-816316414,1481297232,508757699,4241488,116840590,1946222752,-1674673877,1929629696,-1641118941,477298944,196104280,-390077312,645982815,-1577189216,-1064435558,9969291,-2146467802,123412312,-534425405,-1031563776,-293556221,-1325143421,787403524,-869366645,1120176878,1480737518,1257119524,-289394102,96633674,1122011884,1381024748,-2098723920,-1223855104,-758913008,-1219885452,-759437280,-461088422,-2091774603,-1964243518,1522633440,-1979520018,28361665,1946179816,7454277,1249846400,1522074039,1350611968,1139146928,-997834524,-997834524,-329713525,695584644,510993540,-436162480,-2042567613,-2042567484,-131377212,1562443649,-546154401,-872493598,-863976331,-339725696,-2082436599,-2132015638,-2084364572,1122895042,-383731902,134271549,1010313240,-590285567,-452272944,-472849456,-617422070,-960562298,787678155,-58055670,-1341930877,-360452480,-1947389437,786878961,-869366645,1122010862,-1975368978,1246424775,1257160754,-1006691608,426967612,168084099,-335120960,-351517048,535003142,-2081504374,-51903254,68666366,25166592,6291648,1572912,393228,131075,22391296,268960770,-8372192,-426725376,964996,-489929538,774171394,-1327461716,-387848049,-672624720,1960852200,-426594070,47748,-1179218757,-991428582,-1325470726,-1014700399,-2065263696,149292208,233230566,247061222,-867910144,-1712782366,-1951650304,47833,-301987655,-69057810,-1191132998,-286392312,-85835198,-2082043930,-2098822682,-1981379610,-527791386,-1002797084,15424117,-1002798108,15422069,-1002798620,15420021,-1002798364,15417973,-1002796060,15415925,-1002796572,15413877,-1002796316,15411829,-2065263440,-1191182150,-320077816,1975794242,-1158159849,146342080,1122823168,1975794242,-1946754553,-9377333,-1157627718,448378508,-99751936,-1783562517,233211110,11590374,-790230810,199639216,199639472,199639728,199639984,-689520464,-689552976,-689552720,-689552464,-2065262928,-1325753149,-405739382,41189544,-2135886357,-1964522008,-394088208,-930420802,-1209498448,-1645704473,-756496758,2000370688,-1950054811,-389969168,993788101,-662022025,-1159150198,1998011392,-1946645939,-2033634365,599347660,-1813907678,1018778200,-1176373504,-503897565,324655107,-1966699567,-1262187832,-773523822,868746209,332071872,-2083420208,-938276926,-623777327,-623777327,-623777327,449642932,-1901064469,216482280,-1327461884,-415373170,4241414,-1070344050,-1960394610,637542446,2098887,645975636,-453115797,-419552223,3980065,-151517720,16804614,12193397,-1232291072,-402646343,-18089729,539920678,1797685248,-1022886400,1085820958,-2133291520,16804622,551952560,-1966137512,82624736,181735204,4241603,512481422,-472186864,272555419,1089536,58048522,-469578880,-423579552,-1469782940,-352160766,-1469782792,-453348351,1963239520,46396935,199958645,1963115510,-35422202,-2138038037,-1168900637,1337655296,4045240,1543012072,-1578890005,-1578705116,-81518108,512303590,-1329397744,-393943413,460456284,276104508,-1157627718,800700328,-128063488,-1023358744,108265532,-385826584,-2035285873,-5208858,-390504218,518541571,1692686839,91554216,-1947601950,1012982784,-502958854,8448488,-2065266768,-468481863,1963042916,-152547062,-203269642,-1332712725,-461052280,1957313632,-1874400509,-2065266256,1692839600,-452984903,1946331236,-336010747,179933232,-1469783040,1359574273,1509343464,418116578,-2065266000,-1336909596,-463149395,1963108452,803756282,-1878594568,-2065265232,4241603,243325070,-1157693422,-675610624,1423799,-1007182104,-1912586056,302940376,12254976,-1209222400,-402643783,-1329334393,-1184569682,1692729343,276038312,12253410,-1206863104,-402645063,-18090133,-427773757,-424824700,-1469782940,-453348094,1946265700,-345971708,-427708170,-425021308,655407460],4085,[27813092,-397342347,-497420763,-1341461517,-461052286,1951743072,-427577326,47748,-1179119429,484966431,-1325470729,-1333467516,-463149472,1963108452,-430067462,-1414479008,1692689638,-92994904,-469736263,1963042916,-622309111,-203269643,-1934620181,1625588966,-117314568,-100991549,-370477578,-707339547,-1700419158,1431738005,12539390,-796672768,-2135465495,-75448093,-1086884544,-1799553023,-1219434032,-1899459578,-798638144,-1979706183,1974399683,-1172641022,-474284032,2341302,-1326017816,-460527602,246685708,-1998004090,-1017313308,83654,-335101309,-1475941757,-1469156092,-965839870,-1342111418,-331158000,-1337270134,-331157999,1309027146,268778752,-1070398852,512425778,707657801,-2133762425,41484508,243974195,-75497398,-2143849980,846465019,-235525967,-372193142,1317595600,40273923,1183375568,-2046578427,-740019488,105286112,4800128,-804883194,1724973670,130188038,-235486226,-2013051256,61932134,-472654710,-771334519,88508640,50586603,50529541,1049232387,121372770,138174580,171722356,222060404,28920692,-401951744,62173785,-21867288,1242970818,840725760,-2134442286,326441470,45403902,-1263387416,-1304958968,-386102701,-1269104576,-1305745406,4793994,-1023318392,518521780,1959922354,-339018001,-402410266,-768429551,-189014549,-167254015,-402410301,-25120255,-33262568,-1261900858,-1309415416,1381104778,4800128,-2146864121,50350398,11993718,856031672,-1978091831,1241532950,1521602792,488424281,943142186,1961101894,-117081853,18213315,2134506624,853314295,-2020987137,116824863,1963458583,386332392,376767488,116817700,1946353687,11528451,1509110,-379358144,-58720103,-1207601905,1995150336,1966472320,-1777928687,175374848,9840256,-1795114755,-1073061653,-58695816,-2141293565,1567887100,1948056704,939294812,116791925,1947205782,-1777928634,91554304,-342490952,-1775861707,871103744,176037948,897343804,830307132,116793124,1946288278,-913551335,247447950,506322,-1359821686,-2146994856,-50293210,-538386252,-1262225152,-339725710,-343953195,-1683308847,1925718504,1022028745,1019444321,750747514,-2135168224,-697026564,1966472320,-1777928690,125043200,9840256,-2134643715,158601212,-1976693889,-342140537,-339725675,-1687568751,1925702120,386332297,-2106245120,2112430124,-2139151105,292894204,9832182,-2146798590,-50293210,1273734324,486310032,116789621,1946288278,-1775861750,-1498088192,-2138032661,91557884,736863668,-997568368,-1047606900,-1879044679,-743981060,1951969010,1948269602,50102292,-58715524,1007647758,1007254625,839221114,1632448,-998194183,-1326126218,32697328,471538190,724117543,926233651,473336826,1174702336,-2110375098,-1962642176,989888566,1946163766,473336081,938015488,-1202698985,365793538,1358676824,-402620997,-1017580555,1183449524,374243584,1388511233,-1476380184,-1329374656,-1341985904,-515839984,-152546621,106334975,58053130,604301504,1958742543,1996766215,32241667,-389850375,663403882,-1022311178,48991920,266866352,378258401,-1024065520,-2146274303,158646498,1967192704,-352144888,-352210425,-117394941,-1963160893,-469105050,-524287116,-1895430140,-1008236032,1720384650,1961101830,81838083,102813942,-410386289,-1598016573,1720320143,1961101830,82362371,-1023406299,-1974316208,115916996,-301729862,-1979675744,-1061149480,-1007287064,201487361,-1058766847,646504458,1532625035,48808792,-386173707,-1007895336,1978988776,-1127290629,-1007761526,-2044949722,-1251077,-404161658,-397360129,1253513658,-1962943000,-406845570,108923394,-385887768,292887183,-1090517063,-1175977918,1191545087,115931362,1093044224,-1597810688,-1062731710,145237876,-2135686028,646586859,-990511037,-805014480,-166401044,74712004,200000766,1954596086,-352013310,-1023364094,-1912586053,9485275,1972584320,13101315,-1071380598,168224960,-28216128,-1289456184,-1272466171,-1273770752,14674036,-1325135432,-841862399,-385650157,-58720124,168064260,-1266977344,-1273770752,12576919,-1205287552,28378121,332255795,-58702221,168064260,-29526592,-2139392821,-1209325075,-315488845,332202164,-1830283340,67221504,-768405327,477303757,332202164,2129139124,67221504,-768405583,645075917,1182059518,-789854722,-2147446597,192190271,1927808180,-1589855744,-1265609237,6809652,-341758022,45387850,-1157604120,1065353360,-1173982092,938189077,-1593263472,-1265618453,4450305,-341771334,-823619546,-400329219,-266011179,1006954688,-1594115583,-922873484,1956710586,-1161232886,57975074,-392086342,1405288579,939561147,-2012580825,-29824985,9375360,-389850362,1752563089,-1057122072,-533068568,-58699660,1007187252,1011315715,-1337756668,-557520845,-64748532,-527776758,-1125633104,-39786274,947200168,-863969142,-401690592,12246699,-1172391136,-402630215,29225115,216000512,281874356,281870516,-2065252944,867176171,2145968266,-2030361378,-562173756,-1031057213,-1030827469,-1426032449,1487653004,102654147,-1475370993,-2065276752,-1910767432,4242392,-1943616626,637561110,6760073,6555335,1638924288,-639073050,-2130086743,268461070,56748288,-1330698008,-947591582,-2147449338,-2012821760,-402653184,-2128172802,872444478,-1592822510,-2036137860,8298752,-385840989,1459356158,-1945756073,-1144811813,-611450832,-1081930562,196673683,128316160,-1335992545,-393943453,125020800,-2065275728,-2121265173,-2147453378,-2129235200,-2147458034,2082376448,1981712640,2115930880,2015267072,-1391073280,195917544,-385649472,512426478,-343867274,512295040,512426106,-343867268,512295040,-1868562304,9413120,113640116,-402587502,512426745,-1014955894,512295040,-1073020794,243339892,65636,6696584,6755977,6885000,-2065275472,7872139,8003209,8265355,8396425,8793739,8439169,-1577021024,280232079,9569990,44820481,9051787,8920713,309641227,6557313,780664834,378077294,243794031,-2002714511,67110144,725582011,989891870,-1959169085,50366510,-2130672082,-1593802555,-2103246707,-1895381504,646643456,113639564,-402587502,-1073020207,243339892,131172,7220872,7280265,7409288,4241414,-2135048050,-389707008,-1123571681,113639552,-1342111598,-402606850,44630885,-2129497088,1140876302,1781434368,1796638976,1829668864,8823040,-150732613,973254883,-1977518910,-1845049630,921174272,174339,243339892,262244,6958728,7018121,7147144,184584353,86537408,-470350848,-494268240,9569990,50849793,1946157737,1678672146,-2013263872,-1996459474,-2013236458,-1593805554,327816,1065401092,9248299,611566395,-1275032416,-1845049602,-756547328,174338,243339892,524388,7483016,7542409,7671432,-2065275216,8789643,320768294,-2011264256,-1968132096,-604903197,-410340944,-1310987544,1678178048,1946189824,-402542334,1739630758,1048675558,41943174,-1280307598,215729640,-1327461760,-608048973,116851380,-65436,62128756,-1326936144,-429346597,-1335827324,-396040672,1692668552,-93060696,-527802140,-1341862784,1348789856,1477604328,1625736330,-1340970008,-194713858,1773207019,12289254,-1878463744,-2065274192,-1207959109,-661782464,6887054,6760075,-308615085,1977289563,10021123,-2065273936,-1910767432,1678178264,1946157312,-310450154,243985714,-242548634,6885002,6755979,-139980056,67134470,-401181696,-315429536,6950538,243986827,378208365,166199403,1678178216,1946157568,-314382314,243985714,-242548626,7409290,7280267,-139995416,134243334,-401181696,-315429596,7474826,243986827,378208373,-840433549,1678178215,1946161152,-318314481,-1157627718,448378508,-323360768,6555383,410320895,-135467032,1073767430,-385649664,1642397477,74760360,-2065271632,-1326069016,260367980,127995817,1405313311,1840306314,-1014332186,1857083530,-1014332186,8396427,8003129,243345014,8388708,8003211,8527497,-1962914584,956335134,1929412638,-2145481980,-1977710336,-1875842304,243341428,8388708,8527497,-1962923800,-1996454882,-352286178,-1336897514,1485104751,8527497,-1962929944,-1996454882,-134182370,24428555,1405311993,1890584151,646481126,-997588916,-125049806,-2147483461,16814654,1085803125,-1950315008,-1521620795,8535683,-1207143168,113704960,132,-1342142743,-1199249807,-1064435640,1431787091,939560864,1996508166,-776673275,-169344021,1583308208,-1979026597,-1207940050,1441464321,1086555024,1397839868,4988554,855640249,-775932929,7643,-1963531605,-1207940066,-1007288320,-1207733246,1537933569,1048600409,1962999954,4241420,-980696946,-857160957,-2111948380,-1207535872,166395904,1275494544,2129199360,-2078373377,1940934656,123241702,113466207,-1336913065,1485104754,1342196898,-1912584005,571843,-13379446,-607010765,-1358954467,-186500235,-469399002,1958783073,868233734,1194847231,-469398746,1958783073,-1077923321,652935169,9584256,-1206946559,-1064435648,1074120075,-387413248,-346512305,642731816,108332338,624043591,-970537846,-930480123,4992650,-2065269584,-1547334824,-678756220,-352320840,985726481,-385648928,-12714118,-1191676928,1599799296,216580871,-1511458289,242613221,-124779848,-386263603,-1862539880,909899892,74776706,8402571,1717897,-454507525,2112420366,-1597768731,-2134704105,594804988,1977617725,470661125,792533483,-1207601696,267072815,2005204096,1961901071,1977629707,-1107251198,49020927,-158992845,16548035,-264501644,11534965,512381891,-1014366184,-478121180,98811908,646628106,-461373290,-1595930100,-1017446377,1534395708,1996750720,536576086,-397323913,-76214556,9905792,250276079,1625748400,-150995015,268474118,-136180875,-1341204504,-345970956,-1759084508,-907481344,-1060664818,-1022753312,-4628250,-1761151233,158666752,-1310132254,-420171762,-1759084448,-1017528576,473336826,1175226624,-2110375098,-1962642176,989888566,1946163766,473336073,-121622016,28312555,1355021305,1601439804,1735657788,376815748,-1088125212,-1071349748,-570029522,780592743,1742612106,-922849557,-2031872395,-2146648284,170836004,-429400826,646590086,1424713693,209045758,2133100260,-2031730676,1156251828,1333119230,11831012,91504808,-461315958,-431999937,-466752634,209659014,-1266227520,-2094929152,728891897,1999829379,3323942,1077985579,-2031820662,-2146648284,-1005928412,15435494,-419786064,16547915,-997587852,1492863718,-1467554621,-1475840704,-1274776192,-1473385720,-1272875712,775889920,1742603834,28581492,-586794450,840266855,3324388,1094830123,149621172,-2136471372,45351541,-466434934,346286275,141885364,547881140,28574324,-466434934,1012988867,-385649150,-326958838,-1930654920,-1899983152,872254424,3717568,-175396109,638614669,-64057,122013222,1170613888,-970588154,647103813,148935,1170613760,2089664516,96937496,-970522625,637536069,411078,88458790,-1143960430,-470351856,-763312893,3671296,637588096,637683081,855922056,13822171,-1796668557,947686656,604342822,1950366912,1179043335,8513792,-402652485,2037514420,172377738,-1923255104,-561311620,-401050483,-208994194,788521151,-147964533,-1928396795,-14272388,637957173,-335608378,96871940,-388287492,2089615469,93267512,309643518,-1088061402,-402652485,762445913,38160070,-2144983061,45826061,4712448,1187388274,367722822,641236109,-478143094,-972655552,-352238010,1179043332,952402690,-1008552863,-13238276,1979646581,108396292,-218102599,149848997,-1895239805,1150223940,38047492,-1916599153,-1993992068,28901981,-846744576,2089665301,1569269264,112898,365791156,-61],4086,[1430346987,1380927572,1094918227,1194539330,859390540,961763154,1128940595,1347302201,692267074,2037411651,1751607666,1329799284,1363234893,1836008224,1702131056,1866670194,1919905906,1869182049,959520878,942420536,876096563,741685292,-382978504,837474889,686817422,692273960,1866679081,2037411951,1769108089,1751607145,544502888,1329808160,1347243343,1363231056,1126178897,1836019523,1970303085,1702130805,544371301,1866679072,1886548591,1919905648,1952538994,1869179252,544108143,959525152,842545209,942418994,741552952,876099628,942418996,741684536,909654060,942418998,758593336,1816215853,543976556,1769108000,1751607145,1937011816,1914708083,1936024946,1919247731,1702262386,778331237,-435310546,-434982780,-1172131765,-1276247992,1894400,1273369264,-2065297744,1273402032,1253712560,-2135691776,-1342175768,-1018435950,-1979645767,-330570045,1038934154,410320930,-1833897502,313543654,-1933882394,1620406,-371107139,-18094435,-61,-1,-1,1358954495,1084776932,-816315787,-2048523856,-2065296976,-427773700,-419450768,-392042975,1642332420,-527702990,-337537347,-24407983,41077899,-930298370,-1064380274,-1912590152,16825552,-390642754,-310116144,1404962932,13035703,-91805717,-754973511,178666,-1962892568,65176023,309504,-1342138648,-854674400,-1177406704,-1998061566,-175377408,-13369421,-371068227,-292837980,-661733325,126606131,1642334089,1642465292,-4983413,280887091,-1517884958,1642393227,1642526500,1084776932,-523404,4241637,1049352334,-406780909,47878,-1908408135,-1376557349,1084776932,-1014952843,-549777408,-1070339466,-208935425,-13380213,-371042627,-359946866,856679296,-804998702,1107653595,-768345630,283508729,653758976,76735083,1983462448,-1274608638,-502215410,179094508,-1274645312,-351220466,803783669,237466896,-1900006625,4243392,-1418648415,-1418647903,-1593803585,-1582599896,-1079283414,748749068,782347121,129739633,243712,-356314931,-268377749,2011696816,-1327461678,-764352492,57999784,-1977561984,1958783172,536918547,-1179082565,1491599446,302940388,1122762496,292823208,-1155530566,1455012000,-465442816,1183360,268891903,292880640,-1155530566,465156342,-467015680,1183360,1947248895,536918545,-1179053637,350748696,302940388,1625620224,1692844208,-385876039,1692708440,125043368,669775330,-385876039,1692708424,74777000,401339874,-2136448796,12194165,-1185170656,-402631239,243327959,872349714,-322508563,-392887950,-1070399443,1181194,115868532,302433792,1623392256,-1157627718,414824771,-475404288,1946500245,4974595,1181382,-87858944,-47963676,856039910,650153664,2367115,604423974,-68950528,-496506797,512304731,-1341718492,-1184569760,-1041694721,-1469782867,-503155710,-431640331,-464469152,-434065312,-1261479904,-2145989376,-143311876,-61,-1,67187455,8388608,0,285290752,67266304,8388608,0,285376000,100820736,8388608,0,285370112,134479872,33554432,0,285474560,100903936,33554432,0,285453056,84064512,8388608,0,285390848,134336000,16777216,9,285343488,84122880,8388608,0,285449216,251888640,-65536,2048,285442816,84136960,-65536,0,285463552,117677312,8388608,0,285449216,151231744,8388608,2048,285449216,134374400,16777216,0,285369088,67359744,8388608,0,285463552,0,0,0,0,67265536,0,0,285369344,84136960,8388608,0,285463552,84133376,8388608,0,285459968,184742400,-65536,2048,285405440,84073728,16777216,0,285400064,117628160,16777216,0,285400064,100869376,-65536,0,285418752,134454272,-65536,7,285449216,235128320,-65536,2055,285459968,268682752,-65536,2055,285459968,235142912,-65536,2055,285474560,168019456,-65536,2055,285459968,268626944,-65536,2055,285404160,100869376,-65536,0,436413696,67266304,8388608,0,419587840,134375168,8388608,0,419587840,151226624,8388608,2055,419662080,134409216,-65536,7,570616832,117687808,-65536,7,570672640,134465024,-65536,7,570672640,151242240,-65536,2055,570672640,84133376,-65536,7,570672640,268591872,-65536,2055,1057121024,184811264,-65536,2055,553910016,251920128,-65536,2055,570687232,251920128,-65536,2055,553910016,268697344,-65536,2055,1057226496,67314944,-65536,0,436413696,33760512,-65536,0,436413696,134409216,-65536,7,553839616,100854784,-65536,7,553839616,84133376,8388608,0,419677696,200015616,-67106672,7340033,-2097152000,-50657596,-2065297488,-2048524112,-386938950,-628166725,-2065253968,1358955449,332202164,-1183055685,28835841,1494469890,208814707,-1,-1,-561714689,-1146036766,-92240666,-1339591552,-839325682,511000744,1086053004,-1965322752,-1912572626,1961691866,1963501581,-423972855,8436356,416130795,1971372790,-941075682,-2065409043,-1804288708,163121035,-201618688,-1105300049,1072206685,-1325470976,-387937741,-81474134,-1461140346,-21003827,1974097153,-1467554619,-1475840640,-1341885120,-1337203054,-360388932,31744,-83442557,-393014082,11796486,432871117,1017917180,-402295772,-169091079,-1104928061,-1959854112,76230196,1947140265,-1877218557,-2134842240,309608700,772475624,1742538438,113651234,-400267298,-1950151936,2210291,1973941094,-210417140,-930352245,1957163878,82805511,-117117309,-6657,-50593793,-1957341666,4243180,-461054322,1441270645,-192419596,-1276512140,1976368640,172917033,1719730752,-385876470,58061924,-402612759,91616361,-336318488,174490094,1317142463,-385875702,-855768954,1256719733,-25302028,-402295348,1961620642,41274622,-855740693,-202898059,-2140804108,141888508,-386664472,1491858523,1963785344,172917022,1719730752,-385876470,1148515336,-2114698520,-4257178,17452673,-2143950080,91557372,-336315672,-335773653,-689437323,-2145260556,91614460,-336236824,-302219241,-1528298123,-2146571275,91615228,-336220440,233603075,-820027811,1085820958,-1193767424,-1595474165,-1065049884,-527823756,-1005936156,-1595498010,196089579,551821542,208978052,78176394,568591989,568771594,1962933376,-434065404,1797687328,-820029440,7911761,-402393926,-1460885428,-502893184,149682678,-1472272240,1084769004,-15527,1926651112,-727390190,-1192751758,-402099497,57858066,-1008166168,-1342001176,-396040531,-54328664,-1157226912,-611450816,9832182,-467962752,1974156384,-1777434614,645939200,-1333854058,-81730016,-369098819,116785453,1950351510,1012982849,-2132249279,-1090480602,9834112,386826256,-1336926208,-881793010,242565288,1743269040,1967171787,388399109,-1336353024,-81730016,-2147371288,-553609690,-369098819,398393573,-8591360,1625610378,-850414343,48405,548407410,-369418010,-527826743,1967537232,403109397,242550784,1943454440,548469257,-369418010,548405410,-2131025690,125165820,9834112,-2145654014,125166076,9834112,-2146440447,175439612,1979382912,-1760657399,-346550272,-1310158722,403109376,1702103040,-58133,-1,-1,-1,-1,1913047039,-384683008,-58657327,-2147126188,125162748,1509110,-2143914744,477382396,1967520896,-1777928697,678756608,1926455784,1392279587,-461103500,250288760,1509110,-166824696,67114758,645924724,-336134120,-24057853,354846808,1042432,-2063546648,1629423597,-386268043,1355743266,9840256,-1777928451,309592320,-2139102080,91506172,1948122240,-1775861755,-1017577984,18802768,1692839600,379634520,-684660736,-58714252,-33262258,-2146964544,158681852,679004414,-352315742,354826787,-2143128576,91499260,1966537856,-1777928697,829751808,1964899456,-1777928697,628424960,561570948,504027955,427032598,1348592720,1642527780,201330664,-396237310,1967849480,1642485999,1397801816,1139146928,-662028060,-125157148,1139146928,-527810332,-528072476,-2116539565,1526799867,1482418806,396382403,82362368,646580004,-461373289,1959016967,-1759084532,101251072,48758935,1354979328,5433425,645942645,-386989929,-307232680,-4628250,-1761151233,192221184,1172895714,-420171776,-2144867488,-285173978,-1610598424,-390070249,-2147015676,-134179034,9897480,-4628250,-1761151233,41226240,645986274,1505689751,-95370408,201365408,-1761180096,-79648768,-1185823912,1692673808,-85982552,-15527,889192447,-1060551223,-1058225940,-1494359572,1223468780,2089903007,948965519,508951456,1381390086,-1957670063,-1900006420,2016855256,4241408,113694862,-2113994688,16651878,-1979627894,-58718618,1008431874,1008432920,1007056392,739471893,853051916,786682367,-331376641,20711403,1072230262,1552557799,1075742722,374243584,1532690944,1600019033,-815980793,1973608936,-1550194673,602409586,-2130349056,71246,-435769149,180367882,-1190300444,28442628,-499457328,58063584,-1008931096,33652352,1183524981,1096460,1174660087,13796098,1930361472,8292881,-617414910,-763116797,251297792,1187382386,1048577025,1946157121,1094615054,125044992,182244584,858289636,4623040,55347750,-754941766,1222834146,115918987,1942160349,21400081,175441064,1317079476,-352321258,1005097082,846492929,22973183,-1959861295,-420490873,-352145397,-1978997248,-414652164,-1965229592,1072170878,75401959,-2081998360,1072169926,-2142877977,1963262334,-415963131,-1952441621,605796096,-1224182592,1967171619,-399853822,2089477906,-418584575,-402264445,393544135,-1090517063,-152567742,-386173733,-1997757492,-220051707,-1998112536,-402636506,-469041417,1448156867,1096188,-661733325,1449045235,-1207955271,-661778432,1499376883,-1583028193,-1947703691,-165180765,225775812,1971846272,65830915,-2011970432,-428546009,199641776,-385876039,78699561,1727456306,1942160128,-351685628,6613038,45100661,1303841510,-1964604952,-406845570,108923394,-2082048536,2078802886,80118758,-2082048536,1525155822,-2129758977,71246,4269704,184444648,-504839196,6601178,1960527080,-1258692090,-401020032,129016596,108956398,-387566104,125108467,-1476339480,-1014975296,1317667248,-2065640954,1962950150,1040582683,-1562318848,280518,1962916840,1013982219,-394300048,2054553520,-388329496,663397062,-167426422,41164996,1334501584,988033540,-2007010111,-1152187321,1340604420,-1208329257,-439031793,-1073250678,2114585319,-439818234,-1969057304,-1075313537,2095643621,859010304,1552557787,21400073,74711868,343213372,-1572607917,-2146127781,41222908,-667283536,-1014627725,57989899,-388562456,-1062731723,717439156,707406378,707406378,707406378,707406378,707406378,1344940586,4241438,243325070,-1333788610,-1205803488,365793537,-1211148257,-447682552,-352320839,4366851,-488293400,4366584,28899523,1930808720,1040643595,460619776,485221426,-1191181125,-1070383863,4065014,-401771136,-186474000,-387156661,-2135631279,4073088,-1008465281,707406378,707406378,-550884822,251798786,-162201829,367593487,1256605337,-1209646395,-454760445,-1008407064,-1,-1,-1,-1,-1,-1,-1],4087,[-1,-1,-1,-1,-1,-1,-1,-1,-1,352092415,-58718350,-1271695937,-326370284,-1912586050,269912798,820150272,-2135424834,58011898,-1951399746,-1912577258,-1950054714,-2117826832,-788463642,-1795215642,-1947625530,503774119,1398167381,-347057583,-76,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,170731576,471402015,117835522,0,173690993,471402015,117835522,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,170731576,471402015,117835522,0,173690993,421070361,202050818,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,0,0,0,1342578261,1448235347,-421482409,-907477884,47873,-1897922376,-1437222696,1595,-315467147,134794,-1106648639,1340604416,-1958120191,1223459801,-796070773,-41172850,1220132915,-1951730944,276598261,71681574,96937486,-970522625,-1919285947,-970581892,654181445,-64057,88458790,-1954040686,-840314421,1220838165,-2065243728,-2065243472,-1900019528,-1437222696,1595,-1557643,842429696,34507501,165789952,1006632888,723940568,1925266371,264471328,-990335,738197432,1925266371,48656,1962983912,-387329784,333971618,17426432,-402623256,1583284457,1482381658,-1017307385,16115742,-1912602440,-1899459392,4243416,-1559917786,-947687132,93005314,-1049549149,-1014954773,-1993940992,8175389,-1559917786,-947687128,93005314,644950691,213851529,93005313,-2089735005,-1960443193,1898881797,-1340241626,528803555,243985714,-507445246,82034953,-2084316925,527696123,-3964597,14909711,216777200,721424568,-268387901,-524303986,1032529663,-1023047642,855665384,-536823562,-74727282,243985714,-507445246,-1012534520,861032784,-805131054,-763036702,-1017620134,1465255454,-1073694383,-315440754,34507302,165789952,-1961432701,-1899393799,-533807399,-218102855,1583307175,1405296391,1348926643,-90438059,-54657229,-1801786894,1717372829,-466461864,-21802045,-1286347541,-387978241,-4980699,203690100,205259188,45353076,41223336,-997588812,1355015218,-117511942,1692836784,-87860997,-1325861912,-463149395,1946265700,-345971708,-119346954,1692837296,1375263720,-467201863,-519985052,41179642,-1672453916,-1325873176,241493678,-352320536,1489997826,-15365,16777216,33554432,67108864,134217728,268435456,536870912,1073741824,-2147483648,65536,131072,262144,524288,1048576,2097152,4194304,8388608,256,512,1024,2048,4096,8192,16384,32768,1,2,4,8,16,32,64,128,0,-16777217,-33554433,-67108865,-134217729,-268435457,-536870913,-1073741825,2147483647,-65537,-131073,-262145,-524289,-1048577,-2097153,-4194305,-8388609,-257,-513,-1025,-2049,-4097,-8193,-16385,-32769,-2,-3,-5,-9,-17,-33,-65,-129,-1,-2065269328,788521150,-147966837,1947140100,32565507,-2132410192,369168174,537855870,68864,-369090033,2684076,-1912600392,-1973295912,-435680032,41057,1642520710,-2134842240,57950460,-2147382551,1073742350,-1912588104,536918464,-211356109,-1174622938,-13426688,-1431652250,-211375446,-661952853,-1912588104,-1175047208,-1385816064,1958951782,9824515,-352160695,536918513,-1201209549,1840672182,1722544998,951638155,869830144,536918518,996584806,1231975875,-185925004,857735353,1438148351,1716868437,-1956205581,3717336,-164374386,1713373369,-1019517267,1950959477,-1191908606,-661782480,-1192003397,2092564484,-1107348736,552203629,8174081,-369789251,-13434601,-1124041542,-1964378751,-1172933902,-1933770628,-226498059,-75429006,208991228,-336331589,-436096826,10217856,-1912600392,645932736,-1195442174,-1064435648,-1157626696,2092626808,-1107348736,-857082431,8174080,-369767747,146276547,-1899918336,243279552,-1908408318,309441,855669946,-169361921,1928471785,8174256,-369757507,-1519193575,-1157626696,2092626940,-1107348736,-1997933051,8174080,-369750339,146276479,-1899918336,645932736,-1900085246,309441,855669946,-164905473,1928454377,8174091,-369740099,57930197,-1191223575,-661782520,140928,444095,-2132476928,91553852,134784,1095744,-661733234,1711284239,-475,2232191,16149994,17772272,-469269474,1946172544,-1177406709,-793051117,-792598346,-2065269072,-2132361166,-1175221309,-211419103,-176862555,-930352245,-5901466,862330597,28862189,1711276032,12174643,-1627442368,1724961126,-453385557,-435418015,-420273055,29058657,1711276032,-1956192973,857671365,-1175155978,-427147264,-741251426,1727302303,-1020041555,343273697,1084776932,47206,141885440,-1451602586,-1010814177,1342178502,202138084,-215719450,1717068262,427147275,-2037398296,266633440,78771763,91479248,872014406,-339725578,82739985,-1476393799,1711764991,1174988993,-930417182,-115353973,253649091,-1331687512,-1199249803,-661782464,6760073,6887052,-1342177095,1367664246,1502182376,-914356620,9496833,-2065270864,1507537745,108321547,-352138880,-1047883775,112492774,41208074,2024802228,-464485146,-434065312,-191698844,27813092,1625619060,-863969142,-2115481596,1622169844,-397384474,-1973881736,1482745540,-1998024784,-194320195,1692860080,-1325536268,-125507975,-1332738325,-108730758,-1912586056,1763086040,1730579200,-352095744,-2132504535,-1040791414,-1173523454,-1933901824,1751478,-187742488,1946272246,47629,-1179218757,887619610,2075194575,-1592818458,1629464847,47299,821566927,8781824,-256,-1,-1,-1,-1,-1,-1205928961,-661782464,520098721,-1506613041,707406543,707406378,2147254314,-58700682,-2145946432,1114870524,-2114417833,-1048641305,-13760529,-336034667,-1084780537,-336883200,182879,-121308990,-1587939130,-121069095,-1563188594,-1532189539,-121702210,-121702210,-121702210,-120784694,-58677880,-117148337,-83885366,-889616716,855310338,1600111588,-152311573,-219417365,-286527253,-466460833,536932815,554180881,553722116,-1592680193,-1593663120,-1778409215,-893741638,567923929,-872802310,-738733065,167772407,1018,992,-436162360,-436162428,-1643989883,-1001222,-1192230641,-661782464,78144740,-359767435,-2065301072,1692838576,-452984903,1963042916,-336010747,45125693,1625588966,-2065300560,-2065300304,-1897922376,-2116340776,1968548415,-109658872,-47251666,-435834632,-939476860,-617359218,1437220737,1992099957,788475641,112261377,1085834470,-1193767424,250281984,-2065299536,1894158256,15401195,-661949980,1894158256,15401195,1910898864,1963588480,-1433081597,-2065299280,1963654016,-1873286397,-236535758,-1896873800,-1093520424,196737233,-796218368,-102568276,-1191141190,196083720,-1073025810,548406644,-2081168658,91496698,-352313158,-436162330,-1331632608,-2138774007,41290747,-13500237,-1959861296,-1191647305,-661782464,179365631,1085834470,-2585088,-1342150866,-1333467637,-350165472,-435375895,610395268,-1335761165,-848239090,-231,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,65535,0,-2122448896,-1715633755,-8487295,-406585381,-26444033,947715838,940572688,947715708,2084044816,2097086008,269515832,2097052728,31800,406600728,-65536,-406600729,1006698495,1715618406,-1006698436,-1715618407,118489027,-859013873,1715239116,406611558,859773054,1882206271,1669325040,1734566783,1520025830,1021830972,-528443046,-520552712,235012224,239009342,1008205826,2115508350,1717966908,6710886,-612433818,454786011,1665007643,946629688,30924,2122186752,1008205950,1014896766,1008271128,404232318,404226072,1014896664,402653208,403504652,805306368,811662944,0,-20922176,603979776,610729830,402653184,-33220,-16777216,406617855,0,0,2016411648,3158136,1819017264,108,1819017216,1828613374,2083520620,-133400384,-973078480,1714428108,1815609542,-857967048,1616904310,192,806879232,811622496,811597848,806885400,1711276128,1715273532,805306368,808516656,0,805306368,24624,64512,0,805306368,201719856,-1067438056,-964951936,-420028722,1882194044,808464432,-864550660,-866109428,-864550660,-871614452,1008468088,218025068,-1057226722,-871625480,1614282872,-858982208,-855900040,808458252,-864550864,-859014964,-864550792,403471564,805306480,805306416,805306416,805306416,806903856,811647072,24,-67108612,811597824,806882328,-864550816,3151884,-964952016,-1059135778,2016411768,-855847732,1727791308,1717992550,1715208444,1723908288,1828192316,1818650214,1660813560,1651013736,1660813566,1617459304,1715208432,1724825792,-859045826,-858981172,813170892,808464432,203292792,-859042804,1726349432,1718384748,1626341606,1717723232,-289013506,-958988546,-423231290,-959521034,1815609542,1824966342,1727791160,1616936038,-864550672,2027736268,1727791132,1718385766,-864550682,-870551328,-1258553224,808464432,-859045768,-858993460,-859045636,2026687692,-960102352,-285288762,-960102202,1815623788,-859045690,808483020,-956432264,1714559116,1618477310,1616928864,1623195768,101455920,410517506,404232216,940572792,50796,0,0,808517376,24,0,-864285576,1625292918,1717992544,220,-859779976,203161720,-859014132,118,-1057174408,1815609464,1616965728,240,2093796470,1625356300,1717991020,3145958,808464496,786552,-871625716,1625323724,1819831398,812646630,808464432,120,-687931700,198,-858993416,204,-858993544,120,2087085788,61536,2093796470,7692,1617327836,240,209240188,806355192,875573372,24,-858993460,118,2026687692,48,-16853306,108,1815637190,198,2093796556,63500,1680906492,807141628,808509488,404226076,404226072,819986456,808459312,-596246304,0,268435456,-960074696,1408958718,-13443958,523137,-472840329,-2052587730,1541681918,-644039217,496825500,1922912413,-241325411,645988253,-839909313,-434065380,525883936,1380982479,-1912586056,1812398040,-16485120,-2097123834,402681406,-1330113675,1812343552,-1559595776,1856176236,1889681408,4235264,527826748,4130550,-468159481,1954588806,1950394386,-432069618,-426594170,-576704949,-28645785,1962950670,-1173573474,-152173582,117456646,-2031842188,-2039119704,-2106244952,-2031697908,1273402032,-34839,-369098753,-5670,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-805306369,-768401824,399311540,1954596086,4242258,28367758,16778886,1131675964,-1912870661,281874356,-1269699446,1494273283,-1261292718,-1273967358,-401552120,393383402,-717569282,-689377934,839676557,-2134442286,-546170370,445499624,45374153,-1996877619,520159246,1101665,1073758208,57344,-1,-1,-1,-1,-1,-1,-1,-1623725569,2143190966,541733959,1329804080,1363234893,16319978,825237744,792212015,-1728301000],4088,[-13436026,-1752439855,1451819088,1611565826,72255744,18119,246465280,-1964227858,263211744,-1007926546,105993040,-1912584008,-1258114624,-402542583,-2147155945,8168192,-38465359,149422512,8299264,1482381575,1431458755,-980627318,4984456,12305806,130491904,-953810944,-64953,-1960379140,-50529249,-75236100,113649152,1946157056,5021704,350994730,1278097552,422912,-352302058,5021895,-1057046230,-524164046,1532648710,1381061571,180049750,375040,855640255,-2131494958,129380546,9672073,-270381233,9682684,-1191182145,-1510801397,9682684,-1182793537,-1510801397,1499094623,1364443995,-396994734,146210840,12087475,-1094676964,-1984692224,-469101107,1499094878,509657947,469809158,-1064380274,-1077922820,79233024,-1096027392,12058632,1096476,386039,13795328,-2013117303,1153827924,80187909,280887391,-268388352,-150990661,-132053533,-1996434816,1418199620,88393220,117753746,3194368,-1699493748,-1107268376,12058648,-393039076,549322849,4241408,1458082483,2670080,-1833709428,-1107276568,12058688,-393038928,1220411457,536918016,921211571,5291520,-1279262536,2877586,5506758,1460061888,1488879616,-268388352,384340659,-1899459584,-132006184,-1191138881,-784269305,128316393,-943496929,-1962934524,81838588,-1996165184,2089288260,89950212,410823,-1336884480,861464718,57983144,-1340085255,860678294,-1783570294,-1556920856,-1733296010,-1976353304,-392711968,2023961398,-1017579520,-393301936,-527813846,168873088,-2147256887,-1901006876,1479745256,-739748157,585653060,47616,-1179212101,82313233,-396967099,-396671810,12189709,-1229473024,-402646599,-1581038353,-1071382432,57950268,-1107262231,-75450618,-2139917058,1853161467,1786043146,-997584713,54264612,37513588,1085735540,1450368826,-2135485506,-997584697,-390067164,1946369026,1946303566,818380803,980606778,-2135482946,-997584697,-390057948,1946369028,1946303538,818380803,510844730,-2135480386,-997584697,-390021084,1946369030,1946303510,818380805,-549845900,-1944188557,-388460856,-1021354084,-1899459554,-2147434792,12182578,-536695680,242547682,-1152384838,263829338,1144907776,-1021313301,120588080,120588080,119539504,121767755,122619680,646580043,1720189001,1008648961,106788611,-1274577270,10741763,39226194,-1696070988,72256256,1988835043,273058572,-1392715634,-2147066229,1979777150,1946631187,1946696719,1946827787,1947024391,-1817406717,-1202708911,-661782464,1960024,-740140769,2122975066,4650503,-1274710783,5236738,1227262495,23496704,1946631363,1946696763,1946827831,1947024435,112943,786958772,-402410496,-1023541207,4855354,-768469899,-25114882,-32803559,-1274367794,1042446,45404722,-1023407896,48762548,1358490368,12256851,-1144812032,-930348990,117913894,57956443,-1664937779,1819142158,-65073469,-2065260368,-1341918534,-1582240256,1690010854,1109977088,-1326576464,-1148918110,468189284,-2069905854,-402651969,1416759655,-222683984,-1548685821,-315390746,1913214696,32815939,-398329368,946997579,-402627399,812803322,745863649,-334673944,58048680,-2127303700,1946157557,1970289685,1692198929,770183794,-1564546035,245636,-1515143445,82543846,-2065259344,-1179111493,12189728,1119479808,-1498413845,568624358,568770340,-756678480,63165670,459487,5289992,-958886370,-16777210,-1928935649,-973078528,-100627450,-5121229,-13373259,1276020742,4765696,-953761650,637534213,-16628281,654114047,-50592373,201129212,92874432,-1040317324,-1014821909,1959606848,-339083772,-2132049460,-1995934208,-2013229794,117476366,-939608893,-2147450362,-1895381504,113704704,-1124007790,317194368,-2134539946,1958742784,1714325522,1729530112,1762560000,1678672128,-1023393536,-2065268816,5244615,113770495,82,5506758,1426507279,113676800,-973078442,22278,4720327,113770495,74,4982470,1292289791,113742336,78,1354243590,-1193767424,-1064435640,-13371853,-62914375,-1146752154,1066139616,-1946164549,113712951,-65456,5375687,113639424,-960495532,-1845471994,5637830,1460061696,512458752,-1205993331,-661782448,206594532,-1604196856,113639424,620691456,1166550768,1642485761,268813862,1894166960,-527797788,1894166704,356836,1065400580,-1053045973,-617414030,637985729,637689225,-1258005111,-1043778818,-1993997087,-24443315,-2010716020,1166550565,2147465473,847249598,-1406731036,-85794814,-989932298,-970684378,-67108858,-389871841,1621295257,-1144485120,-1040842112,-1156877280,-1040842240,-1157401584,12058880,-18614524,-1877571382,616663552,1950366912,67156767,1967178230,134265611,1971372534,671136515,-150732616,-1999962397,-1023373034,11795850,-1979710279,49266887,37487396,-1015020171,1007151873,-2147126015,-404618045,5290014,44095630,183510016,172739,-1545326049,-620101534,28508789,12123954,-1142687996,-470350848,378063614,-943521647,-16756730,1376176127,-973078528,-1073720314,5572294,1443284626,113639424,511705175,5290067,1642387598,135061642,-2065276442,7819,1734,-58398977,-50529028,-50529028,-50529028,-2030240516,-1956518176,-1021355069,0,0,65535,-2147446080,65535,37376,65535,39439,65535,-1073704448,65535,39679,65535,37631,65535,37390,65535,37629,120586311,4653071,16713520,65535,-2018902016,-2013790184,-2010644456,254672920,125310465,218112015,571408385,788475392,146311050,-1329558016,495461935,-50559770,-50529028,-50529028,-50529028,280558844,264277504,627441696,2147483646,-369090033,-268400676,503385902,-436271228,369168174,537855864,68864,771760655,-2020724993,-1912600392,-1973295936,-435680032,650414689,-970580598,-16777210,-1293196826,369168174,537888632,68864,771760655,-2020462849,-1912594248,-423579432,-18076,-1469782790,-502959102,9497080,-452984903,1963042916,-369565179,1625555074,2088044712,444262,192,1711336376,-339476319,2450944,1962934400,1711336205,-1073740089,369098752,15406827,444262,192,1711336278,-1073740089,-1744830464,-949616405,12582918,-345767936,113731072,49152,15441920,444262,192,1711336240,-1073740089,67043328,1894167472,-528059932,1894167472,537707654,317420006,1894167472,-528059932,1894167472,-551238522,280523238,-371683840,1409023708,508973649,-1912586053,65176027,-1963816192,-788498276,143952870,1959922432,-461090697,-855766156,-855750284,-346530956,-347935129,-335484160,679016484,-1862354864,1477823992,616108402,140962036,2029528300,-17374701,-336628277,-335484160,75036708,770375948,472181826,15401228,619577579,1108339484,-351752126,96202240,1020323840,15401996,1257111787,15417930,619446507,-1974979336,-410363656,1499094559,1043255131,912614438,-1381651712,1869459367,864689408,-1853193334,-460663158,1368062602,1357679445,503730771,551947184,547889380,-315468427,-661731188,-1962522994,-1977220002,-218529777,-109050508,1124627955,-1258139905,-1947473151,-2034303786,3976329,-1053161100,-1958480011,-1093145614,-561280627,1946172588,1975597590,138841079,721740928,-422490381,-1785397458,520809353,1482381831,-1142335139,1510416145,1499289691,-2131588145,57999869,-2147332353,74711292,48975695,-1950136505,1979137010,33390624,1325336181,38731522,1946221696,1313820424,-347189682,1179076401,-347716026,-97495,-58716811,1308914688,1176234830,-2145916090,57999869,-2147332353,108265724,1313754959,1195836651,-1950136762,16548082,1313735796,1178993387,1005751235,-2146077193,141820156,1330597711,837504590,1195853639,703284806,1979711107,16547857,1313736308,434851663,1195853382,-41937941,-16550655,-58719674,1325691904,1191373647,-225721529,1946221696,-347123964,-1018738942,-41880949,-16550655,-58719666,1325691904,1191373647,-225721529,1946221696,-347189756,-1018804734,1243515645,39226112,74634042,-889269366,1946273014,717915916,-154064139,-337971490,720710148,-20513071,41281730,1048584564,1912733769,1228832808,326566656,378229328,-1031602077,6660100,1525610276,-2146505896,67127614,1048577906,1963393097,736856956,-1736214,-1947873024,-154825992,65876707,65065409,-1761587706,-561068404,-470355829,16828151,-654900108,-523117065,177653507,974419136,705721286,-204829968,66388901,1976499965,-1963947276,-1977569049,61600714,1976499965,4241654,-454502258,-2145815551,33573182,1048580722,1996685385,1662421771,79856384,-301963872,1228832963,74712576,-489627184,1375752381,-980748149,-1164382926,-487128768,100909315,-1953038258,1085970672,-136120575,1946222790,-136775920,-255360547,1228832800,24380928,-1933114553,-1764061502,-544517286,812957706,745784890,-800002006,-1947807514,-1947169850,-204829957,-1947169884,16155131,16220448,-204830176,63243172,1976499933,-259368736,-422517040,-1950053800,-204829957,-2114221142,-1977614089,61535178,1976499933,1713292266,-1201214157,1,-1178258586,-13418496,-791583074,-102585498,202138084,-215719450,-1150918170,1,1725772646,520537483,12187187,-781803968,1185718227,-1020115386,594932705,-1062706716,460652720,1721633201,-2092510253,-630061826,1713353118,1721750483,530545229,-960249805,-464519164,-435418015,-420273055,-695510687,-389809889,-1977221070,584578565,-1998007609,-389873594,580386850,-790572349,638286332,646579504,1720189001,572965633,-1429796291,4793994,-1023318392,1452015411,1944768770,536919811,-489561391,-489561391,-489555453,-100408623,1048641207,1929773129,-791555836,-153122073,-774796333,-773139990,-2133723414,-942536735,-1329333757,321549,179312242,-2066599086,-1342016064,-855591904,29685271,1526268276,-812953661,6601041,1952165352,1509548550,-402002951,-290716680,-118889895,-2029586749,-3996672,9318890,508973296,-1912586056,243928,524677608,-1949345698,281248747,-1949069574,-1178497311,-888994784,1236914574,12581888,-1897218557,-1583010061,104530512,57999960,1023606946,175440215,-1207950145,-1934890617,1824500680,-1917470720,-1412920149,-1409330248,-1901344628,113518277,-1868365806,-1845064704,-594609408,50446163,-1274837574,-350106353,-1899416817,1377733593,1977320706,1501620618,779403274,-1274871110,-1205744375,567086081,1962950016,-16398835,108334396,567089588,1596211460,-596491972,604199330,59089423,-919358485,61214345,61345417,-1828272319,855769091,-611442990,567089844,59095583,567093172,-1948545506,-1962929130,520094734,-1169077934,666108805,37495245,-1860537000,-1960916949,-524123693,869961231,-853887790,-2051399903,-853036029,-854543327,4030497,985271412,-855002109,201898017,-980540979,-2135237234,-853888000,52001,1850280461,1953654131,1297040160,542196048,1143821133,1679840079,1701540713,224752756,1953383690,1679848037,1702259058,1701868320,1768319331,606106213,168626701,1852400978,1953654131,1936286752,1953785195,1852383333,1769104416,1092642166,543582496,1701012846,1918989171,1393167737,1802072692,1851859045,1701519481,1752637561,1914728037,2036621669,2361869,1230192962,538984771,4544581,-1471873304,-401247231,663355914,-398129688,-1070384696,-335284294,192184488,1317078708,-2013265642,-1023393498,-1471883544,839152897,-396301340,1534394314,-167650840,259264519,-58710134,-2147256937,-327154748,-401478893,-2018229193,141820732,71042996,1639187060,-1343740024,975169604,1342523018,33900230,-966873624,-402651834,-2007474522,112461126,-335284294],4089,[41189544,646480052,1317077057,-1023409898,-1880555725,-167283457,1148551364,-466421621,1006651018,-1274449403,374243585,820707329,578076682,20747188,1957957748,292815420,54269364,-1749808268,28313579,-347858456,-402542587,937968639,-400062463,-947174350,19720387,669525898,281343556,31982453,468239104,-2012771839,1996423751,88508928,897001276,1967353064,1131669522,425600,-390069387,1007625220,-400657661,-269993627,-2006862848,1139337255,1187382960,1187382273,-397410048,1951947834,961013872,-1275014680,-400062462,112214986,67192518,16795334,1545398352,-397118376,-1276626647,-2004372480,1135405095,1187382448,1187382273,-397410048,1951947774,957081679,-1275030040,-400062367,112214926,67192518,16795334,1541466192,-2127268776,71246,-1979681304,663224935,-1975292440,-352304858,-400757972,393560773,-2143105816,1962935934,82362371,71044900,129238389,-402396032,-998227189,4253715,1005070216,38258243,4624128,1996472370,851680534,107383488,1912798336,-2130594807,71246,11803115,167777768,-1273990137,1964025857,605225986,1946364935,-1023233022,1586158387,-1866235642,-1672428800,-1975458566,-465509152,1019488832,-453609510,-1017602752,-1342048582,-152506720,-230823885,-2065258320,66370299,-33686036,-50463235,-1073082588,1458242420,233603984,-1070338933,918870158,1085800568,-958886400,-16760826,-969403160,-973076922,-402651322,1187381401,-1830289146,88524288,1553262592,-2065256528,-1341918534,645983756,-2081423297,-1280307772,602464394,-2030558173,-399265568,-1070390497,-930359157,9444874,-973208972,9518602,-973208972,208989450,-440349186,30244870,1060360,1104734458,963985576,-1975410456,82362592,168813696,-2045807397,9955548,-393017227,494141585,-1280307477,-941039478,-2046555102,583395524,-1975409176,550273248,-1192718672,-3933406,128976246,-1270755864,1106307219,-956371480,1187381255,-269996027,88524379,1541990408,199754935,108956226,-1186855448,-85415829,-503024330,-399250439,-1460863284,-2146732784,1946158462,89062950,129291243,2122318256,91553797,-348034328,-1332497401,1098180609,-1996580376,1100277799,-1879506453,1019413830,1007318016,-1341885183,-1341985901,-1008715257,1867385357,2035494254,1835365491,1936286752,1919885419,1936286752,1919230059,225603442,1885696522,1701011820,1684955424,1920234272,543517545,544829025,544826731,1852139639,1634038304,168655204,906628388,1143812656,1701540713,543519860,1953460034,1667584544,543453807,1869771333,604638578,-1191181637,-2135884312,1910796518,175505212,1951134946,-35079931,-436212501,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1726778197,-65121456,-2048523856,-1912316277,39750619,-75489397,-1341491728,-8067566,-1511456186,268140801,-1341361147,528803348,1566074459,-1341785623,-393943533,118381863,-1156341569,-611450752,1711284239,4389,101616512,-511613440,15,1723927398,-1070373205,1711282337,1745323,650029926,571648,-492083539,-266268677,554675046,1722509048,379699251,-1096063488,1722613788,1726516395,1725992107,309675,-492083539,6340347,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322778,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,5160619,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322772,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,12084907,1711313408,-1070373205,-524162932,-1196726780,-1419313153,47206,-1419378542,-1933560986,81838560,-4674714,-1096063233,862322760,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,4374187,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322748,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,3587755,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-391420412,862346121,329302015,1528760079,-815966106,-1633050967,-1752459381,-1751345268,192349500,-259267534,-13703471,-1013485404,8857216,1977289455,-2029092859,-1007153152,1960512082,1662421778,79856384,201352608,6660616,-1961825298,-2097126634,1704985794,-1560861696,1525547109,-1500331016,-1396003714,-792428544,-1962301510,-1033008376,-1738237777,-1928615972,-781808389,-2094880769,-2094890206,-1753447638,1532582488,526212958,-12537,-1,-1,63498751,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-739639297,-253,-1,-1,62646783,1962230504,1228832816,175244288,4800128,-352095225,-1360490369,1662421802,113410816,-1460871030,-84183807,1946265836,-1429959941,-287114425,1228832963,124912640,4800128,-397314809,1202334337,-389808926,779416823,4800128,-2146995708,117459262,-477481358,-1960155928,-2097126634,-661977406,1963043052,-1460864261,-1946455039,-486822973,1048626159,1912864841,1228832775,141887232,921232266,-1012141270,-1976937752,1049232990,-896794551,1858001550,2042628858,-1898827000,2083964378,8332544,-523116335,-268181295,1946615680,283935587,106415243,-946940020,-125086895,-1258036352,145861640,-489561391,41148624,-906046710,-963972491,-22289782,1541830093,-1939929254,-1176990000,-192217084,2046546093,87238147,-20479573,-70210273,858129273,-276714747,-454942798,20901761,-2082966198,787157188,-779361398,79289995,-1393325312,58326224,-1442500058,536856449,2046611628,87172611,-1309703766,-2115706337,1241595887,-1195124619,-386086912,-2143485871,-1191676193,-661725184,1065474867,964012629,12187187,-670913152,-102573054,1085806708,-2133291520,-16772594,-1152384838,263829338,760342528,1085805547,515935744,62445710,-326414336,1476419327,4241496,-1899767666,-2116340776,1974097215,871773026,40864457,-779361839,-489160020,-1321306629,1391121156,-1912586056,-661774656,1342178232,861271179,486487789,208989451,4241438,243325070,536805394,-661890979,-611558881,-1019487741,-2143478666,-350522657,503734293,-1152384838,347715724,751691776,-1168046305,-661913472,516145667,-1073694714,1962944488,-947897081,-1070336394,516103943,-1073694714,1239120,1342665818,1273545355,-2143463424,133002951,-1896037601,-2116340776,1974097215,871772973,40864457,-779361839,-489160020,-1324780037,-1930767612,-1010695208,-1172437408,-1933881344,1358264,523001576,-2135269113,64523264,-1009634366,1085855886,515935744,1342178232,1593830539,-1021356032,210447953,976111174,-502959068,99350775,76164678,-3974663,-1288523493,-1221151308,766556600,1904806077,1953654135,1869182329,224222064,1685283327,1785227110,-1480889237,2052915168,1651925880,-1364431506,-13959249,555482912,623125312,673850974,137060137,436210447,477961083,674899725,729688354,876360572,960443710,959985440,909456429,858927403,863792,-2075560121,1951232843,1985049935,-1907716792,-1873899700,-1840082608,430931,520887815,488315674,472582684,-1756954614,-1723230136,-1655858357,-1605329073,-1571643055,-23725,-436096944,-435113851,602495108,-148571571,-301677949,-297607034,839248515,-289109276,-1396375998,-169719058,548988415,105352711,12189491,-1951665376,55020055,-1703954,-1,-1,-1,-369098753,-65398,-1,28313168,397444582,1085834470,-1329558016,-425662944,-423611872,116795120,1948254359,645932555,132055191,-821899944,1448302076,-326951343,653036304,9899648,7788832,105286555,-427691893,-390004721,140413700,-268377215,-661732597,-1409281863,-131800950,91543612,233567714,-14308208,140935431,1175058432,1725537032,281314048,1532909855,-816314531,-436096944,-434720635,-434065276,181229728,-1202708785,-661782464,-88067496,7341702,7212683,7083659,-1461116933,-1202708895,-661782464,1846446586,1813416192,1879492096,1492844544,1636690207,-1342170904,407431168,45150346,-1978121752,-402345784,-393603014,-1335790871,803797514,1954588696,-202638589,-1054525,-427163472,-1340595480,-387872254,78649371,350807434,-401887208,34347018,-31130844,41210500,-527826676,-51901520,1630660887,-1325417240,401401863,145805450,-1978145304,-402018064,-930474018,-672648528,-370636265,-1696046833,440575,-1340616984,-387806713,145758151,-1058478454,-1979076585,398059745,-1343747152,604113943,-1327461637,397010955,-443927888,-384326936,-1325768489,395634699,141828264,-1070375941,183033,-2081944912,1971365911,-1979600649,394127590,-511048784,-1340639512,-387610107,-1578887313,-1578697180,1609042864,-1977611241,-401887008,-1863772325,196147808,605507048,-1327461665,390719499,-1973387543,-198919709,1976009964,-209000436,-855705886,-2135625867,-1023363901,-20987853,92874255,-101058055,87631609,-101058055,246465529,199817884,65539607,-1878856960,1975560399,-1325753326,385411117,256014,-812645653,868417828,-1901018176,-471270756,65539606,-1878856960,1975560399,-1325753326,382789805,256014,-812645653,868417828,519816128,-1912586056,279013080,-14326272,1711276287,-432820144,-1468930960,1951950368,878086,520159232,-7935805,1048602740,1946288201,1228832777,41157376,-13412117,1958725518,4622848,158597180,1182073148,-336534344,-257640445,1946499878,-1409614791,-72628084,-1979685472,-1962908122,-1191156970,-1595408372,32815880,-2094580248,1704985794,263515648,-1260071704,-456136701,-890764620,-402541340,-54270779,-464474778,1480632417,-293395084,76113412,1220038686,-455569920,216042081,-1973295608,-973078506,-16777210,1642513542,-872865960,2122381191,393543686,1966383336,-432820201,-1468930960,604533764,204961276,-399250684,779302043,1949611240,-1608204741,-1472919832,-1102023679,266903593,-1975547150,115835103,1946484608,-1607221698,1958798208,-1607549386,616444395,-33246048,-30903092,-2094762808,-202701370,149191,71747328,1187381248,1187446791,-956301300,2630,1966353640,-397808836,-596495256,772558476,-1996270453,-617412010,1966347496,874637322,-1976695438,-1979764196,-1976696226,1854407276,1284124165,72255489,17254086],4090,[1966350568,-242685937,1962950528,-386431225,-142085503,-2009849880,-1070397866,-32086399,-1007187969,-81327871,1326383648,151200021,69280335,557600530,-843122809,72780704,1966321896,868083759,20719218,-964486540,1946303494,214336266,208929596,772195971,1946244155,113672981,22297390,904596596,678690876,22297390,333985397,4161777,-142145675,-2014180120,1418342135,-251598845,1317803912,1418407436,173443332,18245249,-339725568,374243604,213123073,451657778,18239105,839693312,-254482240,1962950528,1358399241,1492241640,-142084217,654901699,35715987,141829897,1326383649,52499733,580341513,1325990689,69283735,1008160530,-223,-1,-536870913,151135490,-162463958,-2144925681,35979999,1358899721,654839798,620945216,-15003902,135263828,48169039,705233445,267800831,-545239288,151135490,-162463958,-2142304241,35979999,1711217426,1325928438,547588864,950348288,16776960,0,509606656,4243280,20766606,494154615,10487542,-2144701183,16818190,-100642328,-31153692,-386162202,-336068576,-1610156523,57999616,-401871880,645922851,-335675232,-1269237503,-899735808,-1325793278,329050123,-1974452212,-401887008,-78113897,196147907,605260264,-527806273,-2065167440,-1006938093,9969289,10094220,10229385,10358409,-92013629,1242002432,-2035019916,-466435079,-335412806,-1930825692,33667584,1007625452,856323343,870003648,-338545719,-326937224,-1997763826,-386269114,-108330899,-940699728,3142,-1995678069,-527824290,839853292,-1961789984,5236959,1586092331,173947660,753656439,1055448971,-153539840,57934276,-167616887,57934532,-167485815,57935044,-167354743,57936068,940072585,-1267400634,1532516603,1566399065,82362717,-1056642111,-356449047,1355020292,1139146928,-930463516,-393592604,1610335064,1086018334,-153383424,16818182,113651317,100728992,512607118,468189344,-453376001,-335666015,-436147456,-437716063,-1610156290,-109805568,10495616,32241791,1595890681,-83885366,106979167,4241438,646568078,378273895,11534441,-202866458,520516608,62152967,1552808911,130491936,-930283521,637853889,-1946007671,216580552,71796774,88589862,677154202,-16267482,-1043297025,-1993997088,-796130745,638380225,637814664,-1845147706,-930327034,915259534,-454515310,-388986112,123601127,638082189,637687689,637814664,16713671,-427773702,17770096,12707871,38242598,637584104,637814664,-63545,88589862,17770130,-536801513,251658509,-13701119,866208046,-805302336,-1912592200,1095888,414767246,-54489600,-13371853,1894121648,1726599505,-145119757,1946157505,-2135907071,683176166,-1898410496,1724944064,2101072,-121498,571441151,-363305472,-268393512,503385902,1558946129,1212868858,-776988299,1105749222,-1341098680,-396302625,125126712,1692860336,-1018679320,1642332852,393494696,-397390258,41156918,76088459,-435680168,-420010911,-1979599775,-343873852,-1044345711,-972880672,-1047768637,-389953909,-1044315388,-1017574168,-1912586056,1763086040,1730579200,2942976,1894121648,-2040461537,-2038373180,-326412860,209052682,-33134975,105808383,183173184,-1090099583,105808383,-815988735,1967633384,-422465509,1202382948,-575663499,-1578606362,-1341557433,-396040449,74729368,-2132409424,-1335926845,278980657,816898186,-820995608,-396402693,108330798,-889585740,1408958466,641227917,-63545,-524171124,1200170500,-1043821566,-2010772248,-970587065,1536820551,-435048198,-423130592,-435900383,-436096991,-419450847,-435048415,-423392608,-436031327,-436096863,-419450719,140283297,385945382,638606477,1428095247,1187507339,1560293380,232784143,17760257,788475632,-1070358195,-1194328049,-796000216,-1912596296,2144472,-466435954,183032,-1207558573,-661782520,-2147479365,1971324543,75464751,-2094434880,1962934911,2145059,-1845147706,-1912594248,-2049088,639601446,251660279,-4717195,-1207702784,-617414404,-1017438457,-1064384372,870774203,-1543453760,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1588592640,807731216,1479556096,121378676,512431474,-478150640,82559024,-1976631502,-341294457,-1576554494,1235222601,-1342129408,1006875834,-1157204985,-725960704,-1983672829,-1744805098,-2097041261,-2081553214,-1070398230,-1577038173,-1976696734,-1549266297,-472842166,445090606,5022632,-1976636463,-2136462681,1705000932,180364288,6660804,849840686,1713801384,1095936,7989254,174885414,189565478,603998624,1963080958,2088773141,242552073,1206437258,-1964471808,4253889,-1995978614,-1610588146,121372745,71042932,1929380024,119584771,12189491,514585376,5291783,146391091,-156503296,268470022,-189069708,515958785,-2097125984,-1007811390,2041169,-523107407,-235532623,1913126016,1505820162,-1962986813,503335198,-561056205,7616197,983534126,1458766760,-374885699,1593570347,-1064380276,119849759,-1744805214,653742672,1319305292,-779003392,-401820439,-782367449,1351388134,84470016,167798432,-2146863617,-534503453,200000266,-472775247,606135168,-1564276001,-1031602074,-1597772283,1183318089,4890624,-1610529144,1183318114,673760007,673730640,134238288,268437504,1073745920,1073758208,673988608,774514989,808462622,808464432,12351,538972176,16986144,466618115,-490529840,466623440,-1784610988,-22733872,466676103,466623440,-279475805,-261809200,-129894323,-415634343,-399574951,-406786094,-26286350,-11272365,-272109404,1251409920,466623519,466623440,466623528,466623440,49808376,58196924,336855672,16847892,1966337,816840766,1085834470,-1950315008,1509954334,-1070338765,857735358,-1178235137,-1410105344,268486017,-277680581,4241490,512344206,-1070399469,-2134916978,5290240,-1765881716,-1415237976,-1070335774,-2134916978,571649,-1426063176,-1325604181,864347697,-1094676800,-1061181306,571649,-1523660660,-1325669717,-1098586574,12560454,2144512,-1523660660,1476125355,855670463,92874432,-432820129,4241540,12245134,1015079954,-1979550412,1914079696,-432754688,-1181698940,-617414626,-997535181,-1978932760,-19266608,-1326193980,198502575,-1364143990,-1978937880,1960000496,-393301998,1074531266,-1901010806,-1341407512,-1333467595,-1148918218,-661913600,951107726,-1732344602,49064,771752633,1111659181,1962884332,46628871,-1416476086,967896546,-1665235738,573352,771752889,-152268115,-527765808,1975794412,1086816261,-337466478,-2065286480,-1079467330,112787576,-1523649792,-109721211,-1912586056,270436824,-432295936,408545412,8851072,-393301996,1084754746,-1380970379,-1475661336,-2146995195,-83851482,2008748523,1200500410,-202053626,645924212,-956628857,402686982,199791792,-1976556533,-1340190496,-393943470,1478488125,-58716300,-402426880,1404043573,1055425766,1085850608,-388461056,158475740,91555132,8857216,-15365,60746239,-2065280848,-1912586056,-430853928,-393301884,-1062729026,-4979340,-1332737301,179366036,-527814620,1387273808,-488078106,1951932399,-1869561072,-622328972,-430723072,-270276476,1342578371,1962123240,-1900006644,7651264,-469383386,270958832,243322624,-1271922672,-855134208,270958608,243322624,-1272971248,-855396352,11200528,-1340143784,-1115363756,954837753,1346380801,1476403432,-789177229,-1336917980,1485104725,1929384168,-430526451,479455364,-400787736,-1161618317,-628376969,168805251,-2025818688,-1258180397,284983312,61870196,-58711883,-402164704,61866053,645931189,147783696,1342181422,1200500307,-221976570,41179227,-1336884231,1485104727,281870516,1405337651,1949367424,1304579,1052288,-1909564624,-1679292857,1946661106,-1329333799,163113102,-527818740,-1259827536,1487979273,521045222,-1329956933,-1903892903,1944585799,-352094990,1521520751,28345574,62406529,28312181,-1326573685,864347739,-1946209326,-947188401,41665586,-1036861186,871621290,223316991,-1003305077,-1057095045,-508640718,-2147125773,-713687054,-2065277776,-1409565284,871366633,39291593,-186118476,343186688,-2065277520,139955027,1334495539,174033676,1528507112,-2065277264,-2129673341,1941607931,-9180925,-2065277008,-423579453,-18076,44590308,-119405452,-4650005,-1469782785,-502237951,-1206862856,-1124065863,-1628853159,-453055717,-1704096,-1,-1,-1,-1,-1,-1,-1909331201,243920896,1235222624,1023288320,858420482,-975466789,-2147453898,1963792764,415364892,-1961462504,1625522649,-389707168,-393609199,183026058,197691904,-401951541,616759359,-166808561,-773271068,350802408,-8338688,-2042071289,-771804421,38702051,5279625,973103776,863307590,-2034224302,1244067781,-1580727552,-388956082,-1269118973,-289109490,-339375550,-301929728,-1966801334,-352261180,-1975325184,-352261183,-1018499584,1122944138,15451530,1257111787,-997538562,15401195,-1047903506,15401195,-436253970,5814302,2025576590,32553715,855642296,-1387282945,-464961815,-435418015,-420273055,32553569,855642296,-1385710081,1933223145,-396929525,1583302963,1273699186,1084776932,47206,259325952,-201524351,-54852236,867625971,1354964928,637897254,1642333576,1642466316,1642525476,-1072994728,854071669,-2132769063,-164425756,-590347087,-498727565,854995961,1712843712,644220043,-141884109,-1476393799,1711764991,1174988993,-930417182,-115353973,-61,-1,-1368195073,-1364808040,-1339183193,-1297895330,-1331907933,-1364807454,-1320570969,-1297895055,-1321487709,-1297894887,-1304120669,-92229008,-854428800,1436307520,1183575179,172394754,-346514083,102654024,-326434710,1981152384,4241418,1726535822,-2127631612,-124314,1724033,872217346,-992440640,-167705546,74711490,18364100,-1912586053,-1965519909,-472836770,-426246354,520554413,1720242017,1948682261,-855592448,273058368,-2143510748,-2126769806,367529335,49211415,95683955,-1023026456,-2013236064,646452294,1720189044,-622279915,-397184507,548406503,138737190,201487552,360611841,202470666,-1977200638,-1073084604,78643829,1476413064,-402634590,-1030879985,2142697611,169180800,-1005975948,-956431755,-2011929078,74711398,74901050,1256917428,-402275608,1114768850,1912856040,-386364867,309528068,1947335808,147322378,300428404,-400037115,753403219,-400592379,2122319108,91556373,1912931560,21954065,1190643061,1962934554,86566920,753402859,707445509,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,-402416407,2104624345,-1341921560,1156982320,41205768,2122318092,292883221,642777612,168248458,-1342016064,4622340,4760152,-1241248024,360611967,168195083,-33393212,342231750,1946248840,1994799620,-351685628,80078900,-1962677528,-386888742],4091,[-85457845,360611843,-402295541,426902526,1912913384,46721044,-236449934,-32869884,-613088946,-352042520,71690243,72607939,1625827442,641773571,-1073199882,17564276,-402634590,-2014837641,-401640956,175243922,1912912872,68216837,350749675,585679620,-399150588,-1977220305,1134693956,1208403456,1223184384,64350212,1760042610,-1948611837,58452208,1912883688,39118863,2112359026,-402296316,65733586,-1023158552,-1575729527,-1974271884,-478146466,-2114223969,-1995606437,1183388230,-402148336,636158903,1208257318,67059016,-4717706,-1059027453,170264288,1183387204,1686775314,-1597178366,1183383669,-1628912880,-1974439421,-1977216930,-805436804,-157233280,57934275,638635904,638475402,-1056619381,503710440,4374279,-1430025558,-1968569936,-1968526652,96905927,-1662515311,61663235,-1209528462,-401968639,91358176,-352111128,-402148347,-389872841,91358021,-352115224,53078019,53995715,1156063090,1208403458,1692954624,57993219,2145914738,-401968639,91358120,-352125464,50456579,51374275,-58718093,-385649407,857604247,-992440640,520160310,-972944664,17670,4589254,1193705472,1139335168,-1163874303,-387055114,-1461189759,58452223,7683712,-2145947134,268453646,-1342102040,32946864,56879342,-385905944,1719731037,-956301798,-402647738,997331855,-1900006626,70698200,-2135744767,1929315304,3532842,1048585586,1929511029,552335363,-1900006626,406242520,-2118967551,1929307112,1192132618,283643904,-1274711296,39446533,40364227,1961369458,1208403457,-1796730880,44361730,-1343746190,-401968640,91357912,-352178712,36825091,-1022081400,1912749288,21620771,4720326,40495248,1912764904,8710163,333975154,-1981533695,20714566,548668788,-1023278360,7675530,-1014969346,274606720,1183386483,306612500,-351254903,340182809,-1977220352,-165281212,-1960440220,-470332644,-1995422071,-960294314,-1275063226,359041025,7612040,18501249,669565696,-1977519616,19140678,201646272,32946848,1370350,547884658,-860617612,1084753643,-1431042699,-1023307032,2145931603,1979661312,-339442172,441111,-1460394823,-401705856,1743314592,1274339840,-2135626123,-1017423367,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,1344940586,4241438,113694862,-1325465458,-434051552,-1900006496,-1862223656,1411317660,-816308480,-335415366,-1023374174,67112970,37756928,-335416902,-1275032158,1960256544,1824413200,1927336115,-102021629,-2040615890,9281760,1149970115,48808197,-1979694430,1134695494,306612736,1151483684,323389952,-1979693662,-390065594,275155462,-1067391872,-1005976596,-1979693406,19140678,201646272,292981408,168814208,4694726,138709542,-301730118,1095875,50489079,-763359674,-490647552,82362636,626577419,516096015,12180366,32553473,-1021349901,1317727538,-578361344,1929300456,3270672,-1910633614,-1172329253,-487718416,12174312,32553473,851668467,5147373,-388145176,208862882,1912605416,32553479,-320689428,616124867,-24319756,-138801038,145288193,971507829,-1259085091,-1017513600,855570920,340167140,359041219,1328838,7612040,18501249,-960235264,36358,7612040,7677578,292873226,605046410,1954561183,1959591438,1954626564,-33822714,-1173230599,11535350,284092654,1929248744,7071747,-1101965629,-239468478,506113,-498930004,-1017226757,857624915,-120025408,-1668284232,5512959,856322847,-1912206656,-350522112,-1145031914,616103956,-1912206604,-401902336,-169681764,-1259375285,113703296,1493172366,547930971,-860617612,27791339,1474823540,-1475941378,-1274842108,-1178339055,-138742748,-322948351,141889704,-488872984,-109005578,66501315,-1007811920,1910796518,-1972312381,-1015945532,-2065284944,-1912586056,7512536,876380390,-436272523,-4987509,1891499827,-769201739,-2065284688,-789159452,-527822812,-452984903,974136417,-502238012,-1232290826,-1124067143,1659483541,-1327895790,1719985730,12250419,28861952,1711276032,12174643,868388416,-781803777,-492083504,281444601,536935041,1135667314,1642366182,1642466316,1642525476,-2065283920,1711276223,443,-583834112,-1966765210,870289140,1073789430,1721689738,-1969237039,1722640116,-253639885,1169179765,1642366182,11583656,-947840139,-8318976,-781049856,41635174,1185973483,1085834470,-2585088,-1107348508,-1209420243,266567889,78771763,91478992,872014406,-339725578,79269905,-1460589824,1711764991,1174988993,-930351646,-2065283152,-561195381,-1124073281,1189721701,-1230587120,-1124068935,-1997949327,-1963005167,-31182267,242549308,-2092149365,1971324098,1166704718,-1007030706,758263857,1953724755,1109421413,1685217647,1767982624,1701999980,840960525,1294807344,1919905125,1917132921,544370546,758329394,1869440333,1092647282,1701995620,1159754611,1919906418,892351008,1835355437,544830063,1869771333,537529714,758591538,1635151433,543451500,1869440333,1126201714,1768320623,1634891111,1852795252,1109396746,543519585,1969516365,536896876,1969516365,1092642156,1867325440,1701606756,536887840,1969516365,1126196588,1342835968,1953067617,1749229689,543908709,1342185521,1953067617,1749229689,543908709,1056972850,1061109567,808517695,1330785585,1917132877,225603442,808722442,1867328818,1751347054,1701670770,1633960224,1919251568,1767982624,1701999980,891292173,1143812400,1819308905,1092647265,1953522020,1176531557,1970039137,168650098,825242400,2036681517,1918988130,1917132900,544370546,1411412591,544502629,1954048326,543519349,1953721929,1701604449,537529700,758198323,1652122955,1685217647,1920091424,168653423,875574048,2036681517,1918988130,1919885412,1937330976,544040308,1953066581,1920091424,168653423,758329395,1652122955,1685217647,1852785440,1819243124,544367980,1869771333,537529714,758198326,1802725700,1702130789,1852785440,1819243124,544367980,1869771333,537529714,758263863,1919971139,1936024431,544370547,1702126916,1869182051,1917132910,745697138,1701597216,543519585,1667590211,1850286187,1818326131,1769234796,168652399,825241888,1328498989,1297044000,1920091424,168653423,842412320,1937330989,544040308,1769238607,544435823,544501582,762602835,1853182504,1952797472,220819573,538976266,1850286112,1953654131,1095320608,1397706311,541280596,1802725732,1702130789,544106784,1986622020,977346661,824183309,1395470902,1702130553,1884233837,1852795252,1917132915,225603442,909189130,1699556660,2037542765,2053722912,1917132901,225603442,909189130,1767124275,639657325,1952531488,1867391077,1699946612,218762612,1378361354,1297437509,540876869,573654562,1497713440,218762537,808656906,2035494194,1835365491,1768838432,1699946612,1769108835,1277196660,543908719,1277195113,1701536623,537529700,538976288,1851072557,1801678700,1937330976,544040308,1953066581,1667584800,1953067637,1867260025,168651619,809056049,1936278573,540024939,1869771333,822742386,758200631,1802725700,1159737632,1919906418,925960717,1143812152,543912809,1631985712,1920298089,822742373,758200375,1802725700,1176514848,1970039137,168650098,842544945,1936278573,1866670187,1869771886,1919249516,1767982624,1701999980,908069389,1143813424,1701540713,543519860,1986622020,2035556453,1159751024,1919906418,1968318509,1699946606,695235956,538970637,1226842144,1919251310,1229201524,1330530113,1128879187,1936286752,1953785195,1852383333,1769096224,1092642166,-670429894,-1272327165,12058864,515344992,62406656,-254531148,1610657792,2209641,-1164198640,-1327962647,863037070,-1334712640,-91822528,-2065297488,-2048524112,-90066,-1573990154,976158718,1979710982,179986,-373634371,-478098150,-1160528449,-53689367,-1896873800,-419450664,-1147017695,529268704,251660279,-491058315,-1960866817,-1899723257,-435375896,-435113887,-434982780,-431837109,-426594229,-423611829,-430657393,-434982845,-432623551,-436162493,-436162496,-1173573568,-1326578702,-1333467631,62437889,-1174294290,-1158806568,-1158937670,-1158937638,-1070464064,-1166558226,-1329893697,-300446975,-1979418741,314114647,-1151353600,-2082435863,-92207678,58000345,1257124016,313583615,2025686246,-528291397,1468713267,-1123109886,-1813398651,264471537,-1164575871,330349170,12158182,-490720511,-436162308,-1975458749,1027663072,242548736,-1179218757,-1262682088,205777339,347143915,-1951365914,15429862,15401195,119828964,-1951342454,-997560090,-1934593562,363884774,-1917811482,15429862,15401195,-2145095196,-1901010806,15429862,15401195,-2145095196,-1971272458,-2146994720,380666060,397444326,-1901034266,-997560090,414216678,482182374,-113972804,-215719452,817390054,-1127182848,430964992,2112390374,-424824596,-18076,44590308,-119402380,-1179119429,1287454749,195815868,45743851,1365304320,-401372997,-463926818,1946265700,-1141972464,498710544,-1133527808,-351565591,-412292866,-1326586904,-393943526,464580086,1676182758,-434327354,264628356,-2065293904,-1341131288,-393943507,514860139,1021871334,-434130925,983427204,-2065293136,-400937240,-873985165,724035639,-433999621,279832708,-2065292368,-1340992280,-393943518,12521891,-1126712064,-2134176279,-75448093,-1341491904,-1115363650,736738537,-433803061,-1335827324,-463149360,1946331236,-453448958,1946265700,610329850,-1963776771,-422465312,-1469782940,-1963297534,-1335826748,-393943515,649122962,1810400486,-433606650,-1158893436,-1326578754,-393943512,699456641,-1947695898,-433410011,-854608764,-855591920,-1973296112,-429126432,-421493151,-433344415,-401690492,78182374,12192884,-1188447456,-402646343,-1578890793,-1578697436,-81518108,1085809126,-958886400,4614,9834112,-1777434496,-386260992,-223334756,-1174707994,116850687,1948254358,-956833273,38406,1048676068,305397874,1085283188,894953552,1968750602,-427815934,896002182,1273402032,-351677464,1967171639,1971365892,164030471,300613808,3948324,876349042,99287671,-1341541400,988303360,-1833895371,1012419558,-436046848,1913046858,-82706432,-1341548568,-393943508,432878370,2133116042,-1084815602,146390876,1605300736,-385649416,-58719947,-167086806,33592838,636027764,268483329,-469056557,-58688647,-2147126102,175486716,9832182,-385649662,-738787064,1975057536,-1777928664,326369792,9840256,-1775861513,116849920,1946288152,-2142966974,-50325466,9832182,-348883960,-1644396490,116796789,1962999958,-1777928662,326369792,9840256,-1775861509,116849920,1946222616,-2146374898,-33548250,9832182,553940228,-117434594,956072131,116793205,1946288278,-1777434612,645924864,-335740778,403603461,243270144,-116916201,503087299,116794997,1962999958,-1777928675,208929280,9834112,-1775861756,99351808,1576576,386826241,-1007090688,1515141,503924597,116785175,1963196439,1392279612,116798325,1963458583,386332214,276038400,9832182,-166234878,536876806,367726708,9832182,-166824702,536876806,645924724,-343998440,389951492,1392279552,-1007091340,908729656,1178942034,1574646,-2146536188,67115022,-393936712,365767574,-2134640315,-83879898,-343604808,8240110,-116895512,-1326402365,-401695741,-239851368,-1847062884,1962884136,8239904,137619536,1946172504,1946237972,1946762256,8239884,-1157202456,451412093,-2134640376,41287676,-58672149,-352160428,-721649517,-1544879499,1967520896,-1873810685,1975057536,9955587,1966603392,11266307,1968372864,13887747,1967586432,14084355],4092,[1946307048,354826791,-2139982848,58020860,-2147450647,2020871420,1966341248,-385830907,-58720004,-1341819596,15919361,116835320,1962999958,386332186,-260832256,1509110,-385649656,116785310,1963982998,-2147095585,-33515994,1576576,-1343686136,-2131016406,33573182,1048577908,1963130953,95965193,-855526465,116807696,1963458584,1355020793,109494323,-1065091047,669516660,-1662298093,-84549399,-81103384,-165026071,268473862,116790644,1946288278,386332181,242549760,9840256,-167056387,50337542,1810432885,1206450943,97338666,-154928645,-2147477498,-1007091084,116835320,1946419223,386332407,-260831232,-1763052880,386332160,-462158848,1509110,-153258744,268473862,116788340,1946288278,-1775861553,243334400,-394264463,-386268857,-79353354,-1070392371,-1078696469,-315420467,65651705,2028210943,1006403635,-58708356,-2144633276,91510780,1968766080,-164319201,134223622,850408821,1509110,-1339263740,386332208,594871040,535506608,766559224,1509110,-1340836600,386332195,192218112,116791728,1963130903,46150146,-390057248,-1007087058,259580938,1195164810,1396442236,113641342,-134217703,751078083,-1685996729,116840238,1963458583,-1685143979,1509110,-163416828,50337542,116798069,1965031447,-1777928682,225772032,192687676,1967979648,-336547836,-155176446,33592838,645924724,-1325596522,298379488,1139523634,1509110,-338332384,-653465374,-646782838,116798699,1963065494,1949187119,1965767817,3729418,-256321931,1020193614,-401967827,-931856342,-347410248,2083531968,421956287,-1576348416,-1007091687,9840256,-1682391299,915126251,909836314,-1012072420,1509110,-167414776,67114758,-1577411389,446890112,1876736,256014,-812645653,-885397309,646589300,-58720183,-2147126780,896927468,-1962891032,-2097126634,-1460926782,-84183807,1946265836,93005563,-83868023,1227262659,83656704,-327154318,-401967610,-1960443779,4622597,9824451,-644955764,-779290741,-326909554,-1208186104,-1979534588,2046611460,-1963947501,146342228,2044907776,-791611135,-169680175,16155050,1976303136,1355187166,-713699330,-661731188,-1946521922,6940924,-1070390669,918935694,1397751932,-611530612,1482408763,-24967819,-1962314752,4843772,-2147220878,-1995914109,-1950154682,853510904,5022207,-796138505,-1618222127,1251999824,854062592,-775748609,-1748892704,1344179139,-2033044736,-772043814,66048495,1225193211,41222656,-100408623,-1949922365,-1158860065,-1957298048,-1308914704,1957163780,525579,1592816970,-1007042509,-1312412834,-1008151805,-1912586056,-424628008,-1564462460,-1901985675,32684544,854480304,1430056128,-1313864076,233538790,9113216,15001601,99091314,-424103936,-402209916,359858587,-2065255760,-1178992453,12189726,57272320,-352210200,-424431573,-1900006524,1053042368,-2135817980,-2147476504,33584446,-1263529358,-1070365466,-1004093298,-1308551106,190593,95929095,314114739,-854543238,1376875283,-335415366,1971365978,-2130935784,82513780,309661864,-489855000,1976303328,1976565465,17426643,162815211,-177073203,332206516,642927986,36504971,-1964471808,115458252,-2147366528,-457175836,1490323972,-1977167862,-822214027,-855375432,-2145684717,376703740,1947335808,284983313,-1047917452,289149220,-1040315020,28958443,-854805504,-402361581,-1007091566,-1612149072,1950394608,-424169462,-117395068,-1332708885,-259200878,-311115766,857659530,-1899459648,-1060926760,225707240,91557692,1877514672,-20840720,-166677048,-469695003,17081338,17174156,-1014317005,225709860,91557692,1273535152,-20381968,98956993,413393921,437160961,5021953,-1593769821,44236878,1275512577,-1943137792,-956281330,1124194310,-636580813,-2011170047,-1023380210,-2065254992,-2135314245,57966842,-1179008069,12189715,33417216,-424234813,-1175733372,1954675328,3794950,-1179003205,12189717,31582208,3860675,-1174387480,1018888695,-198919936,1954588908,-870389748,1967912674,-343886608,32619018,1946238188,-115297277,-1901004093,217034216,-1327461880,-274077554,568640507,568785700,-1088118300,-1195138586,-155582464,78704131,-874583826,-1007812432,1381061627,1428051798,1086254219,-2116121088,-1962933278,83656946,-1668676493,-422510468,38027,880071179,91612292,-351989016,1976368683,87746565,-855760149,1575486837,-31855867,-402295348,283837727,91606270,-351946520,1976368647,99936259,1583292253,-816096934,-1,1793720319,1392513028,-402652741,-1017446398,-397324203,1482227716,-880032931,11598492,1088701414,1088741514,256014,-812645653,-661928826,11598492,1088701414,1088741514,256014,-812645653,726910086,1358660056,-529376503,-1950103838,-436162357,-1975458749,-2042567456,-1327985724,-465312256,-455046592,734299712,1358660056,-503025143,65404892,-2015040552,-1947629838,-1176073255,-355270652,-1107295559,652986049,-2116777072,-1191181342,-792854524,-1877480506,-2010767184,-1434451835,-1177318585,-457310206,-1878791226,-1191385601,-1064390656,653733522,76727853,1075062672,-2054674905,1202356224,-419435806,1381099910,-490613109,178440,1509955816,254593,-402651975,548405261,1509994728,-402652487,-54329343,653733522,76727853,1075062672,1347506727,1476433128,-387818919,1085808323,-958886400,-16772602,-162442465,141869254,-2147462936,-202686226,1949353718,2746376,-351211904,777738739,-397211766,1130037341,-1966869022,1390957319,-498902272,229688310,-1342158616,4450314,16432067,-1157610264,-1679294208,2109457406,3663872,-402620997,-1144783218,719848224,16825088,-1006730776,78768266,115927250,-389707264,616759297,663749647,-400080876,-1144848383,246677511,-1329393459,-1337727306,-1337792968,-465377787,-436007839,-28776351,-64724508,868442598,12123391,784371376,641927050,-2147449464,-203274326,856090111,12123391,-1967092048,-2010758393,-1434451835,133489223,102654147,-2065248080,-1912586056,1730578904,1763085312,-422465536,-1197283196,-1427569804,-422400000,-391008124,-527766282,-269963088,-1143852052,-201916352,280230026,-402613784,-1918780353,8389888,1086050867,-1963723008,-1944155400,8448000,-1329807896,-1199249709,-661782488,-795950962,1711284239,-475,2232191,13147626,17772272,-1331605218,-1199249708,-661782464,6887054,6760075,-1579433496,-768409581,-150978373,15859,602604405,77200,12253322,16744464,-1030875788,-1178586266,-13418496,-1410111748,-964636674,132573968,-1161600737,-1933901824,1751478,-184661272,1464947536,414713374,-942109184,18950,16744448,512236404,1220018252,1723895296,12173363,-50384064,-22285466,-339476785,1595869152,-1017619623,-2013213464,167788838,-2130348828,71246,4623043,4269706,91546634,18239105,-956644608,-16760826,1317671088,216060422,105253388,4138634,168092864,66239172,-1595897106,-390070133,66566662,82624750,603996064,1959016975,1059457072,-1191642368,365793533,2108695410,-1977218895,2122320476,141820673,83984000,95486581,41146682,-470361722,2078857355,1371798524,-1190923078,-773324612,-2136412985,-152959371,82542768,-322452504,1497409602,-1594062141,1177157701,652267525,-1979423498,4628696,638010922,33842422,1191576259,71707136,-1161566326,1067451378,1947149312,-1461137390,-1342016508,1059490307,-771444480,214174436,1978199560,1042710727,67895296,-198919698,4065014,-401967744,-186464416,-335970124,1042710541,652771072,630188069,-1195121614,1727463440,38142732,-100609408,82185446,82232454,-661928826,-2115583350,99008907,99009670,-1006910330,-1073250678,2114585319,172025862,-402293110,-3995078,-1,-1,1358954495,-1595531088,196092134,-1964334616,-401821472,-1004344678,57950376,-1476391192,-402426848,-816316414,1481297232,508757699,4241488,116840590,1946222752,-1674673877,1929629696,-1641118941,477298944,196104280,-390077312,645982815,-1577189216,-1064435558,9969291,-2146467802,123412312,-534425405,-1031563776,-293556221,-1325143421,787403524,-869366645,1120176878,1480737518,1257119524,-289394102,96633674,1122011884,1381024748,-2098723920,-1223855104,-758913008,-1219885452,-759437280,-461088422,-2091774603,-1964243518,1522633440,-1979520018,28361665,1946179816,7454277,1249846400,1522074039,1350611968,1139146928,-997834524,-997834524,-329713525,695584644,510993540,-436162480,-2042567613,-2042567484,-131377212,1562443649,-546154401,-872493598,-863976331,-339725696,-2082436599,-2132015638,-2084364572,1122895042,-383731902,134271549,1010313240,-590285567,-452272944,-472849456,-617422070,-960562298,787678155,-58055670,-1341930877,-360452480,-1947389437,786878961,-869366645,1122010862,-1975368978,1246424775,1257160754,-1006691608,426967612,168084099,-335120960,-351517048,535003142,-2081504374,-51903254,68666366,25166592,6291648,1572912,393228,131075,22391296,268960770,-8372192,-426725376,964996,-489929538,774171394,-1327461716,-387848049,-672624720,1960852200,-426594070,47748,-1179218757,-991428582,-1325470726,-1014700399,-2065263696,149292208,233230566,247061222,-867910144,-1712782366,-1951650304,47833,-301987655,-69057810,-1191132998,-286392312,-85835198,-2082043930,-2098822682,-1981379610,-527791386,-1002797084,15424117,-1002798108,15422069,-1002798620,15420021,-1002798364,15417973,-1002796060,15415925,-1002796572,15413877,-1002796316,15411829,-2065263440,-1191182150,-320077816,1975794242,-1158159849,146342080,1122823168,1975794242,-1946754553,-9377333,-1157627718,448378508,-99751936,-1783562517,233211110,11590374,-790230810,199639216,199639472,199639728,199639984,-689520464,-689552976,-689552720,-689552464,-2065262928,-1325753149,-405739382,41189544,-2135886357,-1964522008,-394088208,-930420802,-1209498448,-1645704473,-756496758,2000370688,-1950054811,-389969168,993788101,-662022025,-1159150198,1998011392,-1946645939,-2033634365,599347660,-1813907678,1018778200,-1176373504,-503897565,324655107,-1966699567,-1262187832,-773523822,868746209,332071872,-2083420208,-938276926,-623777327,-623777327,-623777327,449642932,-1901064469,216482280,-1327461884,-415373170,4241414,-1070344050,-1960394610,637542446,2098887,645975636,-453115797,-419552223,3980065,-151517720,16804614,12193397,-1232291072,-402646343,-18089729,539920678,1797685248,-1022886400,1085820958,-2133291520,16804622,551952560,-1966137512,82624736,181735204,4241603,512481422,-472186864,272555419,1089536,58048522,-469578880,-423579552,-1469782940,-352160766,-1469782792,-453348351,1963239520,46396935,199958645,1963115510,-35422202,-2138038037,-1168900637,1337655296,4045240,1543012072,-1578890005,-1578705116,-81518108,512303590,-1329397744,-393943413,460456284,276104508,-1157627718,800700328,-128063488,-1023358744,108265532,-385826584,-2035285873,-5208858,-390504218,518541571,1692686839,91554216,-1947601950,1012982784,-502958854,8448488,-2065266768,-468481863,1963042916,-152547062,-203269642,-1332712725,-461052280,1957313632,-1874400509,-2065266256,1692839600,-452984903,1946331236,-336010747,179933232,-1469783040,1359574273,1509343464,418116578,-2065266000,-1336909596,-463149395,1963108452,803756282,-1878594568,-2065265232,4241603,243325070,-1157693422,-675610624,1423799,-1007182104,-1912586056,302940376,12254976,-1209222400,-402643783,-1329334393,-1184569682,1692729343,276038312,12253410,-1206863104,-402645063,-18090133,-427773757,-424824700,-1469782940,-453348094,1946265700,-345971708,-427708170,-425021308,655407460],4093,[27813092,-397342347,-497420763,-1341461517,-461052286,1951743072,-427577326,47748,-1179119429,484966431,-1325470729,-1333467516,-463149472,1963108452,-430067462,-1414479008,1692689638,-92994904,-469736263,1963042916,-622309111,-203269643,-1934620181,1625588966,-117314568,-100991549,-370477578,-707339547,-1700419158,1431738005,12539390,-796672768,-2135465495,-75448093,-1086884544,-1799553023,-1219434032,-1899459578,-798638144,-1979706183,1974399683,-1172641022,-474284032,2341302,-1326017816,-460527602,246685708,-1998004090,-1017313308,83654,-335101309,-1475941757,-1469156092,-965839870,-1342111418,-331158000,-1337270134,-331157999,1309027146,268778752,-1070398852,512425778,707657801,-2133762425,41484508,243974195,-75497398,-2143849980,846465019,-235525967,-372193142,1317595600,40273923,1183375568,-2046578427,-740019488,105286112,4800128,-804883194,1724973670,130188038,-235486226,-2013051256,61932134,-472654710,-771334519,88508640,50586603,50529541,1049232387,121372770,138174580,171722356,222060404,28920692,-401951744,62173785,-21867288,1242970818,840725760,-2134442286,326441470,45403902,-1263387416,-1304958968,-386102701,-1269104576,-1305745406,4793994,-1023318392,518521780,1959922354,-339018001,-402410266,-768429551,-189014549,-167254015,-402410301,-25120255,-33262568,-1261900858,-1309415416,1381104778,4800128,-2146864121,50350398,11993718,856031672,-1978091831,1241532950,1521602792,488424281,943142186,1961101894,-117081853,18213315,2134506624,853314295,-2020987137,116824863,1963458583,386332392,376767488,116817700,1946353687,11528451,1509110,-379358144,-58720103,-1207601905,1995150336,1966472320,-1777928687,175374848,9840256,-1795114755,-1073061653,-58695816,-2141293565,1567887100,1948056704,939294812,116791925,1947205782,-1777928634,91554304,-342490952,-1775861707,871103744,176037948,897343804,830307132,116793124,1946288278,-913551335,247447950,506322,-1359821686,-2146994856,-50293210,-538386252,-1262225152,-339725710,-343953195,-1683308847,1925718504,1022028745,1019444321,750747514,-2135168224,-697026564,1966472320,-1777928690,125043200,9840256,-2134643715,158601212,-1976693889,-342140537,-339725675,-1687568751,1925702120,386332297,-2106245120,2112430124,-2139151105,292894204,9832182,-2146798590,-50293210,1273734324,486310032,116789621,1946288278,-1775861750,-1498088192,-2138032661,91557884,736863668,-997568368,-1047606900,-1879044679,-743981060,1951969010,1948269602,50102292,-58715524,1007647758,1007254625,839221114,1632448,-998194183,-1326126218,32697328,471538190,724117543,926233651,473336826,1174702336,-2110375098,-1962642176,989888566,1946163766,473336081,938015488,-1202698985,365793538,1358676824,-402620997,-1017580555,1183449524,374243584,1388511233,-1476380184,-1329374656,-1341985904,-515839984,-152546621,106334975,58053130,604301504,1958742543,1996766215,32241667,-389850375,663403882,-1022311178,48991920,266866352,378258401,-1024065520,-2146274303,158646498,1967192704,-352144888,-352210425,-117394941,-1963160893,-469105050,-524287116,-1895430140,-1008236032,1720384650,1961101830,81838083,102813942,-410386289,-1598016573,1720320143,1961101830,82362371,-1023406299,-1974316208,115916996,-301729862,-1979675744,-1061149480,-1007287064,201487361,-1058766847,646504458,1532625035,48808792,-386173707,-1007895336,1978988776,-1127290629,-1007761526,-2044949722,-1251077,-404161658,-397360129,1253513658,-1962943000,-406845570,108923394,-385887768,292887183,-1090517063,-1175977918,1191545087,115931362,1093044224,-1597810688,-1062731710,145237876,-2135686028,646586859,-990511037,-805014480,-166401044,74712004,200000766,1954596086,-352013310,-1023364094,-1912586053,9485275,1972584320,13101315,-1071380598,168224960,-28216128,-1289456184,-1272466171,-1273770752,14674036,-1325135432,-841862399,-385650157,-58720124,168064260,-1266977344,-1273770752,12576919,-1205287552,28378121,332255795,-58702221,168064260,-29526592,-2139392821,-1209325075,-315488845,332202164,-1830283340,67221504,-768405327,477303757,332202164,2129139124,67221504,-768405583,645075917,1182059518,-789854722,-2147446597,192190271,1927808180,-1589855744,-1265609237,6809652,-341758022,45387850,-1157604120,1065353360,-1173982092,938189077,-1593263472,-1265618453,4450305,-341771334,-823619546,-400329219,-266011179,1006954688,-1594115583,-922873484,1956710586,-1161232886,57975074,-392086342,1405288579,939561147,-2012580825,-29824985,9375360,-389850362,1752563089,-1057122072,-533068568,-58699660,1007187252,1011315715,-1337756668,-557520845,-64748532,-527776758,-1125633104,-39786274,947200168,-863969142,-401690592,12246699,-1172391136,-402630215,29225115,216000512,281874356,281870516,-2065252944,867176171,2145968266,-2030361378,-562173756,-1031057213,-1030827469,-1426032449,1487653004,102654147,-1475370993,-2065276752,-1910767432,4242392,-1943616626,637561110,6760073,6555335,1638924288,-639073050,-2130086743,268461070,56748288,-1330698008,-947591582,-2147449338,-2012821760,-402653184,-2128172802,872444478,-1592822510,-2036137860,8298752,-385840989,1459356158,-1945756073,-1144811813,-611450832,-1081930562,196673683,128316160,-1335992545,-393943453,125020800,-2065275728,-2121265173,-2147453378,-2129235200,-2147458034,2082376448,1981712640,2115930880,2015267072,-1391073280,195917544,-385649472,512426478,-343867274,512295040,512426106,-343867268,512295040,-1868562304,9413120,113640116,-402587502,512426745,-1014955894,512295040,-1073020794,243339892,65636,6696584,6755977,6885000,-2065275472,7872139,8003209,8265355,8396425,8793739,8439169,-1577021024,280232079,9569990,44820481,9051787,8920713,309641227,6557313,780664834,378077294,243794031,-2002714511,67110144,725582011,989891870,-1959169085,50366510,-2130672082,-1593802555,-2103246707,-1895381504,646643456,113639564,-402587502,-1073020207,243339892,131172,7220872,7280265,7409288,4241414,-2135048050,-389707008,-1123571681,113639552,-1342111598,-402606850,44630885,-2129497088,1140876302,1781434368,1796638976,1829668864,8823040,-150732613,973254883,-1977518910,-1845049630,921174272,174339,243339892,262244,6958728,7018121,7147144,184584353,86537408,-470350848,-494268240,9569990,50849793,1946157737,1678672146,-2013263872,-1996459474,-2013236458,-1593805554,327816,1065401092,9248299,611566395,-1275032416,-1845049602,-756547328,174338,243339892,524388,7483016,7542409,7671432,-2065275216,8789643,320768294,-2011264256,-1968132096,-604903197,-410340944,-1310987544,1678178048,1946189824,-402542334,1739630758,1048675558,41943174,-1280307598,215729640,-1327461760,-608048973,116851380,-65436,62128756,-1326936144,-429346597,-1335827324,-396040672,1692668552,-93060696,-527802140,-1341862784,1348789856,1477604328,1625736330,-1340970008,-194713858,1773207019,12289254,-1878463744,-2065274192,-1207959109,-661782464,6887054,6760075,-308615085,1977289563,10021123,-2065273936,-1910767432,1678178264,1946157312,-310450154,243985714,-242548634,6885002,6755979,-139980056,67134470,-401181696,-315429536,6950538,243986827,378208365,166199403,1678178216,1946157568,-314382314,243985714,-242548626,7409290,7280267,-139995416,134243334,-401181696,-315429596,7474826,243986827,378208373,-840433549,1678178215,1946161152,-318314481,-1157627718,448378508,-323360768,6555383,410320895,-135467032,1073767430,-385649664,1642397477,74760360,-2065271632,-1326069016,260367980,127995817,1405313311,1840306314,-1014332186,1857083530,-1014332186,8396427,8003129,243345014,8388708,8003211,8527497,-1962914584,956335134,1929412638,-2145481980,-1977710336,-1875842304,243341428,8388708,8527497,-1962923800,-1996454882,-352286178,-1336897514,1485104751,8527497,-1962929944,-1996454882,-134182370,24428555,1405311993,1890584151,646481126,-997588916,-125049806,-2147483461,16814654,1085803125,-1950315008,-1521620795,8535683,-1207143168,113704960,132,-1342142743,-1199249807,-1064435640,1431787091,939560864,1996508166,-776673275,-169344021,1583308208,-1979026597,-1207940050,1441464321,1086555024,1397839868,4988554,855640249,-775932929,7643,-1963531605,-1207940066,-1007288320,-1207733246,1537933569,1048600409,1962999954,4241420,-980696946,-857160957,-2111948380,-1207535872,166395904,1275494544,2129199360,-2078373377,1940934656,123241702,113466207,-1336913065,1485104754,1342196898,-1912584005,571843,-13379446,-607010765,-1358954467,-186500235,-469399002,1958783073,868233734,1194847231,-469398746,1958783073,-1077923321,652935169,9584256,-1206946559,-1064435648,1074120075,-387413248,-346512305,642731816,108332338,624043591,-970537846,-930480123,4992650,-2065269584,-1547334824,-678756220,-352320840,985726481,-385648928,-12714118,-1191676928,1599799296,216580871,-1511458289,242613221,-124779848,-386263603,-1862539880,909899892,74776706,8402571,1717897,-454507525,2112420366,-1597768731,-2134704105,594804988,1977617725,470661125,792533483,-1207601696,267072815,2005204096,1961901071,1977629707,-1107251198,49020927,-158992845,16548035,-264501644,11534965,512381891,-1014366184,-478121180,98811908,646628106,-461373290,-1595930100,-1017446377,1534395708,1996750720,536576086,-397323913,-76214556,9905792,250276079,1625748400,-150995015,268474118,-136180875,-1341204504,-345970956,-1759084508,-907481344,-1060664818,-1022753312,-4628250,-1761151233,158666752,-1310132254,-420171762,-1759084448,-1017528576,473336826,1175226624,-2110375098,-1962642176,989888566,1946163766,473336073,-121622016,28312555,1355021305,1601439804,1735657788,376815748,-1088125212,-1071349748,-570029522,780592743,1742612106,-922849557,-2031872395,-2146648284,170836004,-429400826,646590086,1424713693,209045758,2133100260,-2031730676,1156251828,1333119230,11831012,91504808,-461315958,-431999937,-466752634,209659014,-1266227520,-2094929152,728891897,1999829379,3323942,1077985579,-2031820662,-2146648284,-1005928412,15435494,-419786064,16547915,-997587852,1492863718,-1467554621,-1475840704,-1274776192,-1473385720,-1272875712,775889920,1742603834,28581492,-586794450,840266855,3324388,1094830123,149621172,-2136471372,45351541,-466434934,346286275,141885364,547881140,28574324,-466434934,1012988867,-385649150,-326958838,-1930654920,-1899983152,872254424,3717568,-175396109,638614669,-64057,122013222,1170613888,-970588154,647103813,148935,1170613760,2089664516,96937496,-970522625,637536069,411078,88458790,-1143960430,-470351856,-763312893,3671296,637588096,637683081,855922056,13822171,-1796668557,947686656,604342822,1950366912,1179043335,8513792,-402652485,2037514420,172377738,-1923255104,-561311620,-401050483,-208994194,788521151,-147964533,-1928396795,-14272388,637957173,-335608378,96871940,-388287492,2089615469,93267512,309643518,-1088061402,-402652485,762445913,38160070,-2144983061,45826061,4712448,1187388274,367722822,641236109,-478143094,-972655552,-352238010,1179043332,952402690,-1008552863,-13238276,1979646581,108396292,-218102599,149848997,-1895239805,1150223940,38047492,-1916599153,-1993992068,28901981,-846744576,2089665301,1569269264,112898,365791156,-61],4094,[1430346987,1380927572,1094918227,1194539330,859390540,961763154,1128940595,1347302201,692267074,2037411651,1751607666,1329799284,1363234893,1836008224,1702131056,1866670194,1919905906,1869182049,959520878,942420536,876096563,741685292,-382978504,837474889,686817422,692273960,1866679081,2037411951,1769108089,1751607145,544502888,1329808160,1347243343,1363231056,1126178897,1836019523,1970303085,1702130805,544371301,1866679072,1886548591,1919905648,1952538994,1869179252,544108143,959525152,842545209,942418994,741552952,876099628,942418996,741684536,909654060,942418998,758593336,1816215853,543976556,1769108000,1751607145,1937011816,1914708083,1936024946,1919247731,1702262386,778331237,-435310546,-434982780,-1172131765,-1276247992,1894400,1273369264,-2065297744,1273402032,1253712560,-2135691776,-1342175768,-1018435950,-1979645767,-330570045,1038934154,410320930,-1833897502,313543654,-1933882394,1620406,-371107139,-18094435,-61,-1,-1,1358954495,1084776932,-816315787,-2048523856,-2065296976,-427773700,-419450768,-392042975,1642332420,-527702990,-337537347,-24407983,41077899,-930298370,-1064380274,-1912590152,16825552,-390642754,-310116144,1404962932,13035703,-91805717,-754973511,178666,-1962892568,65176023,309504,-1342138648,-854674400,-1177406704,-1998061566,-175377408,-13369421,-371068227,-292837980,-661733325,126606131,1642334089,1642465292,-4983413,280887091,-1517884958,1642393227,1642526500,1084776932,-523404,4241637,1049352334,-406780909,47878,-1908408135,-1376557349,1084776932,-1014952843,-549777408,-1070339466,-208935425,-13380213,-371042627,-359946866,856679296,-804998702,1107653595,-768345630,283508729,653758976,76735083,1983462448,-1274608638,-502215410,179094508,-1274645312,-351220466,803783669,237466896,-1900006625,4243392,-1418648415,-1418647903,-1593803585,-1582599896,-1079283414,748749068,782347121,129739633,243712,-356314931,-268377749,2011696816,-1327461678,-764352492,57999784,-1977561984,1958783172,536918547,-1179082565,1491599446,302940388,1122762496,292823208,-1155530566,1455012000,-465442816,1183360,268891903,292880640,-1155530566,465156342,-467015680,1183360,1947248895,536918545,-1179053637,350748696,302940388,1625620224,1692844208,-385876039,1692708440,125043368,669775330,-385876039,1692708424,74777000,401339874,-2136448796,12194165,-1185170656,-402631239,243327959,872349714,-322508563,-392887950,-1070399443,1181194,115868532,302433792,1623392256,-1157627718,414824771,-475404288,1946500245,4974595,1181382,-87858944,-47963676,856039910,650153664,2367115,604423974,-68950528,-496506797,512304731,-1341718492,-1184569760,-1041694721,-1469782867,-503155710,-431640331,-464469152,-434065312,-1261479904,-2145989376,-143311876,-61,-1,67187455,8388608,0,285290752,67266304,8388608,0,285376000,100820736,8388608,0,285370112,134479872,33554432,0,285474560,100903936,33554432,0,285453056,84064512,8388608,0,285390848,134336000,16777216,9,285343488,84122880,8388608,0,285449216,251888640,-65536,2048,285442816,84136960,-65536,0,285463552,117677312,8388608,0,285449216,151231744,8388608,2048,285449216,134374400,16777216,0,285369088,67359744,8388608,0,285463552,0,0,0,0,67265536,0,0,285369344,84136960,8388608,0,285463552,84133376,8388608,0,285459968,184742400,-65536,2048,285405440,84073728,16777216,0,285400064,117628160,16777216,0,285400064,100869376,-65536,0,285418752,134454272,-65536,7,285449216,235128320,-65536,2055,285459968,268682752,-65536,2055,285459968,235142912,-65536,2055,285474560,168019456,-65536,2055,285459968,268626944,-65536,2055,285404160,100869376,-65536,0,436413696,67266304,8388608,0,419587840,134375168,8388608,0,419587840,151226624,8388608,2055,419662080,134409216,-65536,7,570616832,117687808,-65536,7,570672640,134465024,-65536,7,570672640,151242240,-65536,2055,570672640,84133376,-65536,7,570672640,268591872,-65536,2055,1057121024,184811264,-65536,2055,553910016,251920128,-65536,2055,570687232,251920128,-65536,2055,553910016,268697344,-65536,2055,1057226496,67314944,-65536,0,436413696,33760512,-65536,0,436413696,134409216,-65536,7,553839616,100854784,-65536,7,553839616,84133376,8388608,0,419677696,200015616,-67106672,7340033,-2097152000,-50657596,-2065297488,-2048524112,-386938950,-628166725,-2065253968,1358955449,332202164,-1183055685,28835841,1494469890,208814707,-1,-1,-561714689,-1146036766,-92240666,-1339591552,-839325682,511000744,1086053004,-1965322752,-1912572626,1961691866,1963501581,-423972855,8436356,416130795,1971372790,-941075682,-2065409043,-1804288708,163121035,-201618688,-1105300049,1072206685,-1325470976,-387937741,-81474134,-1461140346,-21003827,1974097153,-1467554619,-1475840640,-1341885120,-1337203054,-360388932,31744,-83442557,-393014082,11796486,432871117,1017917180,-402295772,-169091079,-1104335677,-1959854112,76230196,1947140265,-1877218557,-2134842240,309608700,772475624,1742538438,113651234,-400267298,-1950151936,2210291,1973941094,-210417140,-930352245,1957163878,82805511,-117117309,-6657,-50593793,-1957341666,4243180,-461054322,1441270645,-192419596,-1276512140,1976368640,172917033,1719730752,-385876470,58061924,-402612759,91616361,-336318488,174490094,1317142463,-385875702,-855768954,1256719733,-25302028,-402295348,1961620642,41274622,-855740693,-202898059,-2140804108,141888508,-386664472,1491858523,1963785344,172917022,1719730752,-385876470,1148515336,-2114698520,-4257178,17452673,-2143950080,91557372,-336315672,-335773653,-689437323,-2145260556,91614460,-336236824,-302219241,-1528298123,-2146571275,91615228,-336220440,233603075,-820027811,1085820958,-1193767424,-1595474165,-1065049884,-527823756,-1005936156,-1595498010,196089579,551821542,208978052,78176394,568591989,568771594,1962933376,-434065404,1797687328,-820029440,7911761,-402393926,-1460885428,-502893184,149682678,-1472272240,1084769004,-15527,1926651112,-727390190,-1192751758,-402099497,57858066,-1008166168,-1342001176,-396040531,-54328664,-1157226912,-611450816,9832182,-467962752,1974156384,-1777434614,645939200,-1333854058,-81730016,-369098819,116785453,1950351510,1012982849,-2132249279,-1090480602,9834112,386826256,-1336926208,-881793010,242565288,1743269040,1967171787,388399109,-1336353024,-81730016,-2147371288,-553609690,-369098819,398393573,-8591360,1625610378,-850414343,48405,548407410,-369418010,-527826743,1967537232,403109397,242550784,1943454440,548469257,-369418010,548405410,-2131025690,125165820,9834112,-2145654014,125166076,9834112,-2146440447,175439612,1979382912,-1760657399,-346550272,-1310158722,403109376,1702103040,-58133,-1,-1,-1,-1,1913047039,-384683008,-58657327,-2147126188,125162748,1509110,-2143914744,477382396,1967520896,-1777928697,678756608,1926455784,1392279587,-461103500,250288760,1509110,-166824696,67114758,645924724,-336134120,-24057853,354846808,1042432,-2063546648,1629423597,-386268043,1355743266,9840256,-1777928451,309592320,-2139102080,91506172,1948122240,-1775861755,-1017577984,18802768,1692839600,379634520,-684660736,-58714252,-33262258,-2146964544,158681852,679004414,-352315742,354826787,-2143128576,91499260,1966537856,-1777928697,829751808,1964899456,-1777928697,628424960,561570948,504027955,427032598,1348592720,1642527780,201330664,-396237310,1967849480,1642485999,1397801816,1139146928,-662028060,-125157148,1139146928,-527810332,-528072476,-2116539565,1526799867,1482418806,396382403,82362368,646580004,-461373289,1959016967,-1759084532,101251072,48758935,1354979328,5433425,645942645,-386989929,-307232680,-4628250,-1761151233,192221184,1172895714,-420171776,-2144867488,-285173978,-1610598424,-390070249,-2147015676,-134179034,9897480,-4628250,-1761151233,41226240,645986274,1505689751,-95370408,201365408,-1761180096,-79648768,-1185823912,1692673808,-85982552,-15527,889192447,-1060551223,-1058225940,-1494359572,1223468780,2089903007,948965519,508951456,1381390086,-1957670063,-1900006420,2016855256,4241408,113694862,-2113994688,16651878,-1979627894,-58718618,1008431874,1008432920,1007056392,739471893,853051916,786682367,-331376641,20711403,1072230262,1552557799,1075742722,374243584,1532690944,1600019033,-815980793,1973608936,-1550194673,602409586,-2130349056,71246,-435769149,180367882,-1190300444,28442628,-499457328,58063584,-1008931096,33652352,1183524981,1096460,1174660087,13796098,1930361472,8292881,-617414910,-763116797,251297792,1187382386,1048577025,1946157121,1094615054,125044992,182244584,858289636,4623040,55347750,-754941766,1222834146,115918987,1942160349,21400081,175441064,1317079476,-352321258,1005097082,846492929,22973183,-1959861295,-420490873,-352145397,-1978997248,-414652164,-1965229592,1072170878,75401959,-2081998360,1072169926,-2142877977,1963262334,-415963131,-1952441621,605796096,-1224182592,1967171619,-399853822,2089477906,-418584575,-402264445,393544135,-1090517063,-152567742,-386173733,-1997757492,-220051707,-1998112536,-402636506,-469041417,1448156867,1096188,-661733325,1449045235,-1207955271,-661778432,1499376883,-1583028193,-1947703691,-165180765,225775812,1971846272,65830915,-2011970432,-428546009,199641776,-385876039,78699561,1727456306,1942160128,-351685628,6613038,45100661,1303841510,-1964604952,-406845570,108923394,-2082048536,2078802886,80118758,-2082048536,1525155822,-2129758977,71246,4269704,184444648,-504839196,6601178,1960527080,-1258692090,-401020032,129016596,108956398,-387566104,125108467,-1476339480,-1014975296,1317667248,-2065640954,1962950150,1040582683,-1562318848,280518,1962916840,1013982219,-394300048,2054553520,-388329496,663397062,-167426422,41164996,1334501584,988033540,-2007010111,-1152187321,1340604420,-1208329257,-439031793,-1073250678,2114585319,-439818234,-1969057304,-1075313537,2095643621,859010304,1552557787,21400073,74711868,343213372,-1572607917,-2146127781,41222908,-667283536,-1014627725,57989899,-388562456,-1062731723,717439156,707406378,707406378,707406378,707406378,707406378,1344940586,4241438,243325070,-1333788610,-1205803488,365793537,-1211148257,-447682552,-352320839,4366851,-488293400,4366584,28899523,1930808720,1040643595,460619776,485221426,-1191181125,-1070383863,4065014,-401771136,-186474000,-387156661,-2135631279,4073088,-1008465281,707406378,707406378,-550884822,251798786,-162201829,367593487,1256605337,-1209646395,-454760445,-1008407064,-1,-1,-1,-1,-1,-1,-1],4095,[-1,-1,-1,-1,-1,-1,-1,-1,-1,352092415,-58718350,-1271695937,-326370284,-1912586050,269912798,820150272,-2135424834,58011898,-1951399746,-1912577258,-1950054714,-2117826832,-788463642,-1795215642,-1947625530,503774119,1398167381,-347057583,-76,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,170731576,471402015,117835522,0,173690993,471402015,117835522,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,170731576,471402015,117835522,0,173690993,421070361,202050818,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,0,0,0,1342578261,1448235347,-421482409,-907477884,47873,-1897922376,-1437222696,1595,-315467147,134794,-1106648639,1340604416,-1958120191,1223459801,-796070773,-41172850,1220132915,-1951730944,276598261,71681574,96937486,-970522625,-1919285947,-970581892,654181445,-64057,88458790,-1954040686,-840314421,1220838165,-2065243728,-2065243472,-1900019528,-1437222696,1595,-1557643,842429696,34507501,165789952,1006632888,723940568,1925266371,264471328,-990335,738197432,1925266371,48656,1962983912,-387329784,333971618,17426432,-402623256,1583284457,1482381658,-1017307385,16115742,-1912602440,-1899459392,4243416,-1559917786,-947687132,93005314,-1049549149,-1014954773,-1993940992,8175389,-1559917786,-947687128,93005314,644950691,213851529,93005313,-2089735005,-1960443193,1898881797,-1340241626,528803555,243985714,-507445246,82034953,-2084316925,527696123,-3964597,14909711,216777200,721424568,-268387901,-524303986,1032529663,-1023047642,855665384,-536823562,-74727282,243985714,-507445246,-1012534520,861032784,-805131054,-763036702,-1017620134,1465255454,-1073694383,-315440754,34507302,165789952,-1961432701,-1899393799,-533807399,-218102855,1583307175,1405296391,1348926643,-90438059,-54657229,-1801786894,1717372829,-466461864,-21802045,-1286347541,-387978241,-4980699,203690100,205259188,45353076,41223336,-997588812,1355015218,-117511942,1692836784,-87860997,-1325861912,-463149395,1946265700,-345971708,-119346954,1692837296,1375263720,-467201863,-519985052,41179642,-1672453916,-1325873176,241493678,-352320536,1489997826,-15365,16777216,33554432,67108864,134217728,268435456,536870912,1073741824,-2147483648,65536,131072,262144,524288,1048576,2097152,4194304,8388608,256,512,1024,2048,4096,8192,16384,32768,1,2,4,8,16,32,64,128,0,-16777217,-33554433,-67108865,-134217729,-268435457,-536870913,-1073741825,2147483647,-65537,-131073,-262145,-524289,-1048577,-2097153,-4194305,-8388609,-257,-513,-1025,-2049,-4097,-8193,-16385,-32769,-2,-3,-5,-9,-17,-33,-65,-129,-1,-2065269328,788521150,-147966837,1947140100,32565507,-2132410192,369168174,537855870,68864,-369090033,2684076,-1912600392,-1973295912,-435680032,41057,1642520710,-2134842240,57950460,-2147382551,1073742350,-1912588104,536918464,-211356109,-1174622938,-13426688,-1431652250,-211375446,-661952853,-1912588104,-1175047208,-1385816064,1958951782,9824515,-352160695,536918513,-1201209549,1840672182,1722544998,951638155,869830144,536918518,996584806,1231975875,-185925004,857735353,1438148351,1716868437,-1956205581,3717336,-164374386,1713373369,-1019517267,1950959477,-1191908606,-661782480,-1192003397,2092564484,-1107348736,552203629,8174081,-369789251,-13434601,-1124041542,-1964378751,-1172933902,-1933770628,-226498059,-75429006,208991228,-336331589,-436096826,10217856,-1912600392,645932736,-1195442174,-1064435648,-1157626696,2092626808,-1107348736,-857082431,8174080,-369767747,146276547,-1899918336,243279552,-1908408318,309441,855669946,-169361921,1928471785,8174256,-369757507,-1519193575,-1157626696,2092626940,-1107348736,-1997933051,8174080,-369750339,146276479,-1899918336,645932736,-1900085246,309441,855669946,-164905473,1928454377,8174091,-369740099,57930197,-1191223575,-661782520,140928,444095,-2132476928,91553852,134784,1095744,-661733234,1711284239,-475,2232191,16149994,17772272,-469269474,1946172544,-1177406709,-793051117,-792598346,-2065269072,-2132361166,-1175221309,-211419103,-176862555,-930352245,-5901466,862330597,28862189,1711276032,12174643,-1627442368,1724961126,-453385557,-435418015,-420273055,29058657,1711276032,-1956192973,857671365,-1175155978,-427147264,-741251426,1727302303,-1020041555,343273697,1084776932,47206,141885440,-1451602586,-1010814177,1342178502,202138084,-215719450,1717068262,427147275,-2037398296,266633440,78771763,91479248,872014406,-339725578,82739985,-1476393799,1711764991,1174988993,-930417182,-115353973,253649091,-1331687512,-1199249803,-661782464,6760073,6887052,-1342177095,1367664246,1502182376,-914356620,9496833,-2065270864,1507537745,108321547,-352138880,-1047883775,112492774,41208074,2024802228,-464485146,-434065312,-191698844,27813092,1625619060,-863969142,-2115481596,1622169844,-397384474,-1973881736,1482745540,-1998024784,-194320195,1692860080,-1325536268,-125507975,-1332738325,-108730758,-1912586056,1763086040,1730579200,-352095744,-2132504535,-1040791414,-1173523454,-1933901824,1751478,-187742488,1946272246,47629,-1179218757,887619610,2075194575,-1592818458,1629464847,47299,821566927,8781824,-256,-1,-1,-1,-1,-1,-1205928961,-661782464,520098721,-1506613041,707406543,707406378,2147254314,-58700682,-2145946432,1114870524,-2114417833,-1048641305,-13760529,-336034667,-1084780537,-336883200,182879,-121308990,-1587939130,-121069095,-1563188594,-1532189539,-121702210,-121702210,-121702210,-120784694,-58677880,-117148337,-83885366,-889616716,855310338,1600111588,-152311573,-219417365,-286527253,-466460833,536932815,554180881,553722116,-1592680193,-1593663120,-1778409215,-893741638,567923929,-872802310,-738733065,167772407,1018,992,-436162360,-436162428,-1643989883,-1001222,-1192230641,-661782464,78144740,-359767435,-2065301072,1692838576,-452984903,1963042916,-336010747,45125693,1625588966,-2065300560,-2065300304,-1897922376,-2116340776,1968548415,-109658872,-47251666,-435834632,-939476860,-617359218,1437220737,1992099957,788475641,112261377,1085834470,-1193767424,250281984,-2065299536,1894158256,15401195,-661949980,1894158256,15401195,1910898864,1963588480,-1433081597,-2065299280,1963654016,-1873286397,-236535758,-1896873800,-1093520424,196737233,-796218368,-102568276,-1191141190,196083720,-1073025810,548406644,-2081168658,91496698,-352313158,-436162330,-1331632608,-2138774007,41290747,-13500237,-1959861296,-1191647305,-661782464,179365631,1085834470,-2585088,-1342150866,-1333467637,-350165472,-435375895,610395268,-1335761165,-848239090,-231,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,65535,0,-2122448896,-1715633755,-8487295,-406585381,-26444033,947715838,940572688,947715708,2084044816,2097086008,269515832,2097052728,31800,406600728,-65536,-406600729,1006698495,1715618406,-1006698436,-1715618407,118489027,-859013873,1715239116,406611558,859773054,1882206271,1669325040,1734566783,1520025830,1021830972,-528443046,-520552712,235012224,239009342,1008205826,2115508350,1717966908,6710886,-612433818,454786011,1665007643,946629688,30924,2122186752,1008205950,1014896766,1008271128,404232318,404226072,1014896664,402653208,403504652,805306368,811662944,0,-20922176,603979776,610729830,402653184,-33220,-16777216,406617855,0,0,2016411648,3158136,1819017264,108,1819017216,1828613374,2083520620,-133400384,-973078480,1714428108,1815609542,-857967048,1616904310,192,806879232,811622496,811597848,806885400,1711276128,1715273532,805306368,808516656,0,805306368,24624,64512,0,805306368,201719856,-1067438056,-964951936,-420028722,1882194044,808464432,-864550660,-866109428,-864550660,-871614452,1008468088,218025068,-1057226722,-871625480,1614282872,-858982208,-855900040,808458252,-864550864,-859014964,-864550792,403471564,805306480,805306416,805306416,805306416,806903856,811647072,24,-67108612,811597824,806882328,-864550816,3151884,-964952016,-1059135778,2016411768,-855847732,1727791308,1717992550,1715208444,1723908288,1828192316,1818650214,1660813560,1651013736,1660813566,1617459304,1715208432,1724825792,-859045826,-858981172,813170892,808464432,203292792,-859042804,1726349432,1718384748,1626341606,1717723232,-289013506,-958988546,-423231290,-959521034,1815609542,1824966342,1727791160,1616936038,-864550672,2027736268,1727791132,1718385766,-864550682,-870551328,-1258553224,808464432,-859045768,-858993460,-859045636,2026687692,-960102352,-285288762,-960102202,1815623788,-859045690,808483020,-956432264,1714559116,1618477310,1616928864,1623195768,101455920,410517506,404232216,940572792,50796,0,0,808517376,24,0,-864285576,1625292918,1717992544,220,-859779976,203161720,-859014132,118,-1057174408,1815609464,1616965728,240,2093796470,1625356300,1717991020,3145958,808464496,786552,-871625716,1625323724,1819831398,812646630,808464432,120,-687931700,198,-858993416,204,-858993544,120,2087085788,61536,2093796470,7692,1617327836,240,209240188,806355192,875573372,24,-858993460,118,2026687692,48,-16853306,108,1815637190,198,2093796556,63500,1680906492,807141628,808509488,404226076,404226072,819986456,808459312,-596246304,0,268435456,-960074696,1408958718,-13443958,523137,-472840329,-2052587730,1541681918,-644039217,496825500,1922912413,-241325411,645988253,-839909313,-434065380,525883936,1380982479,-1912586056,1812398040,-16485120,-2097123834,402681406,-1330113675,1812343552,-1559595776,1856176236,1889681408,4235264,527826748,4130550,-468159481,1954588806,1950394386,-432069618,-426594170,-576704949,-28645785,1962950670,-1173573474,-152173582,117456646,-2031842188,-2039119704,-2106244952,-2031697908,1273402032,-34839,-369098753,-5670,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-805306369,-768401824,399311540,1954596086,4242258,28367758,16778886,1131675964,-1912870661,281874356,-1269699446,1494273283,-1261292718,-1273967358,-401552120,393383402,-717569282,-689377934,839676557,-2134442286,-546170370,445499624,45374153,-1996877619,520159246,-12447,0,196608,-1,-1,-1,-1,-1,-1,-1,-1623725569,2143190966,541733959,1329804080,1363234893,16319978,825237744,792212015,-1728301000],1048560,[-13436026,-1752439855,1451819088,1611565826,72255744,18119,246465280,-1964227858,263211744,-1007926546,105993040,-1912584008,-1258114624,-402542583,-2147155945,8168192,-38465359,149422512,8299264,1482381575,1431458755,-980627318,4984456,12305806,130491904,-953810944,-64953,-1960379140,-50529249,-75236100,113649152,1946157056,5021704,350994730,1278097552,422912,-352302058,5021895,-1057046230,-524164046,1532648710,1381061571,180049750,375040,855640255,-2131494958,129380546,9672073,-270381233,9682684,-1191182145,-1510801397,9682684,-1182793537,-1510801397,1499094623,1364443995,-396994734,146210840,12087475,-1094676964,-1984692224,-469101107,1499094878,509657947,469809158,-1064380274,-1077922820,79233024,-1096027392,12058632,1096476,386039,13795328,-2013117303,1153827924,80187909,280887391,-268388352,-150990661,-132053533,-1996434816,1418199620,88393220,117753746,3194368,-1699493748,-1107268376,12058648,-393039076,549322849,4241408,1458082483,2670080,-1833709428,-1107276568,12058688,-393038928,1220411457,536918016,921211571,5291520,-1279262536,2877586,5506758,1460061888,1488879616,-268388352,384340659,-1899459584,-132006184,-1191138881,-784269305,128316393,-943496929,-1962934524,81838588,-1996165184,2089288260,89950212,410823,-1336884480,861464718,57983144,-1340085255,860678294,-1783570294,-1556920856,-1733296010,-1976353304,-392711968,2023961398,-1017579520,-393301936,-527813846,168873088,-2147256887,-1901006876,1479745256,-739748157,585653060,47616,-1179212101,82313233,-396967099,-396671810,12189709,-1229473024,-402646599,-1581038353,-1071382432,57950268,-1107262231,-75450618,-2139917058,1853161467,1786043146,-997584713,54264612,37513588,1085735540,1450368826,-2135485506,-997584697,-390067164,1946369026,1946303566,818380803,980606778,-2135482946,-997584697,-390057948,1946369028,1946303538,818380803,510844730,-2135480386,-997584697,-390021084,1946369030,1946303510,818380805,-549845900,-1944188557,-388460856,-1021354084,-1899459554,-2147434792,12182578,-536695680,242547682,-1152384838,263829338,1144907776,-1021313301,120588080,120588080,119539504,121767755,122619680,646580043,1720189001,1008648961,106788611,-1274577270,10741763,39226194,-1696070988,72256256,1988835043,273058572,-1392715634,-2147066229,1979777150,1946631187,1946696719,1946827787,1947024391,-1817406717,-1202708911,-661782464,1960024,-740140769,2122975066,4650503,-1274710783,5236738,1227262495,23496704,1946631363,1946696763,1946827831,1947024435,112943,786958772,-402410496,-1023541207,4855354,-768469899,-25114882,-32803559,-1274367794,1042446,45404722,-1023407896,48762548,1358490368,12256851,-1144812032,-930348990,117913894,57956443,-1664937779,1819142158,-65073469,-2065260368,-1341918534,-1582240256,1690010854,1109977088,-1326576464,-1148918110,468189284,-2069905854,-402651969,1416759655,-222683984,-1548685821,-315390746,1913214696,32815939,-398329368,946997579,-402627399,812803322,745863649,-334673944,58048680,-2127303700,1946157557,1970289685,1692198929,770183794,-1564546035,245636,-1515143445,82543846,-2065259344,-1179111493,12189728,1119479808,-1498413845,568624358,568770340,-756678480,63165670,459487,5289992,-958886370,-16777210,-1928935649,-973078528,-100627450,-5121229,-13373259,1276020742,4765696,-953761650,637534213,-16628281,654114047,-50592373,201129212,92874432,-1040317324,-1014821909,1959606848,-339083772,-2132049460,-1995934208,-2013229794,117476366,-939608893,-2147450362,-1895381504,113704704,-1124007790,317194368,-2134539946,1958742784,1714325522,1729530112,1762560000,1678672128,-1023393536,-2065268816,5244615,113770495,82,5506758,1426507279,113676800,-973078442,22278,4720327,113770495,74,4982470,1292289791,113742336,78,1354243590,-1193767424,-1064435640,-13371853,-62914375,-1146752154,1066139616,-1946164549,113712951,-65456,5375687,113639424,-960495532,-1845471994,5637830,1460061696,512458752,-1205993331,-661782448,206594532,-1604196856,113639424,620691456,1166550768,1642485761,268813862,1894166960,-527797788,1894166704,356836,1065400580,-1053045973,-617414030,637985729,637689225,-1258005111,-1043778818,-1993997087,-24443315,-2010716020,1166550565,2147465473,847249598,-1406731036,-85794814,-989932298,-970684378,-67108858,-389871841,1621295257,-1144485120,-1040842112,-1156877280,-1040842240,-1157401584,12058880,-18614524,-1877571382,616663552,1950366912,67156767,1967178230,134265611,1971372534,671136515,-150732616,-1999962397,-1023373034,11795850,-1979710279,49266887,37487396,-1015020171,1007151873,-2147126015,-404618045,5290014,44095630,183510016,172739,-1545326049,-620101534,28508789,12123954,-1142687996,-470350848,378063614,-943521647,-16756730,1376176127,-973078528,-1073720314,5572294,1443284626,113639424,511705175,5290067,1642387598,135061642,-2065276442,7819,1734,-58398977,-50529028,-50529028,-50529028,-2030240516,-1956518176,-1021355069,0,0,65535,-2147446080,65535,37376,65535,39439,65535,-1073704448,65535,39679,65535,37631,65535,37390,65535,37629,120586311,4653071,16713520,65535,-2018902016,-2013790184,-2010644456,254672920,125310465,218112015,571408385,788475392,146311050,-1329558016,495461935,-50559770,-50529028,-50529028,-50529028,280558844,264277504,627441696,2147483646,-369090033,-268400676,503385902,-436271228,369168174,537855864,68864,771760655,-2020724993,-1912600392,-1973295936,-435680032,650414689,-970580598,-16777210,-1293196826,369168174,537888632,68864,771760655,-2020462849,-1912594248,-423579432,-18076,-1469782790,-502959102,9497080,-452984903,1963042916,-369565179,1625555074,2088044712,444262,192,1711336376,-339476319,2450944,1962934400,1711336205,-1073740089,369098752,15406827,444262,192,1711336278,-1073740089,-1744830464,-949616405,12582918,-345767936,113731072,49152,15441920,444262,192,1711336240,-1073740089,67043328,1894167472,-528059932,1894167472,537707654,317420006,1894167472,-528059932,1894167472,-551238522,280523238,-371683840,1409023708,508973649,-1912586053,65176027,-1963816192,-788498276,143952870,1959922432,-461090697,-855766156,-855750284,-346530956,-347935129,-335484160,679016484,-1862354864,1477823992,616108402,140962036,2029528300,-17374701,-336628277,-335484160,75036708,770375948,472181826,15401228,619577579,1108339484,-351752126,96202240,1020323840,15401996,1257111787,15417930,619446507,-1974979336,-410363656,1499094559,1043255131,912614438,-1381651712,1869459367,864689408,-1853193334,-460663158,1368062602,1357679445,503730771,551947184,547889380,-315468427,-661731188,-1962522994,-1977220002,-218529777,-109050508,1124627955,-1258139905,-1947473151,-2034303786,3976329,-1053161100,-1958480011,-1093145614,-561280627,1946172588,1975597590,138841079,721740928,-422490381,-1785397458,520809353,1482381831,-1142335139,1510416145,1499289691,-2131588145,57999869,-2147332353,74711292,48975695,-1950136505,1979137010,33390624,1325336181,38731522,1946221696,1313820424,-347189682,1179076401,-347716026,-97495,-58716811,1308914688,1176234830,-2145916090,57999869,-2147332353,108265724,1313754959,1195836651,-1950136762,16548082,1313735796,1178993387,1005751235,-2146077193,141820156,1330597711,837504590,1195853639,703284806,1979711107,16547857,1313736308,434851663,1195853382,-41937941,-16550655,-58719674,1325691904,1191373647,-225721529,1946221696,-347123964,-1018738942,-41880949,-16550655,-58719666,1325691904,1191373647,-225721529,1946221696,-347189756,-1018804734,1243515645,39226112,74634042,-889269366,1946273014,717915916,-154064139,-337971490,720710148,-20513071,41281730,1048584564,1912733769,1228832808,326566656,378229328,-1031602077,6660100,1525610276,-2146505896,67127614,1048577906,1963393097,736856956,-1736214,-1947873024,-154825992,65876707,65065409,-1761587706,-561068404,-470355829,16828151,-654900108,-523117065,177653507,974419136,705721286,-204829968,66388901,1976499965,-1963947276,-1977569049,61600714,1976499965,4241654,-454502258,-2145815551,33573182,1048580722,1996685385,1662421771,79856384,-301963872,1228832963,74712576,-489627184,1375752381,-980748149,-1164382926,-487128768,100909315,-1953038258,1085970672,-136120575,1946222790,-136775920,-255360547,1228832800,24380928,-1933114553,-1764061502,-544517286,812957706,745784890,-800002006,-1947807514,-1947169850,-204829957,-1947169884,16155131,16220448,-204830176,63243172,1976499933,-259368736,-422517040,-1950053800,-204829957,-2114221142,-1977614089,61535178,1976499933,1713292266,-1201214157,1,-1178258586,-13418496,-791583074,-102585498,202138084,-215719450,-1150918170,1,1725772646,520537483,12187187,-781803968,1185718227,-1020115386,594932705,-1062706716,460652720,1721633201,-2092510253,-630061826,1713353118,1721750483,530545229,-960249805,-464519164,-435418015,-420273055,-695510687,-389809889,-1977221070,584578565,-1998007609,-389873594,580386850,-790572349,638286332,646579504,1720189001,572965633,-1429796291,4793994,-1023318392,1452015411,1944768770,536919811,-489561391,-489561391,-489555453,-100408623,1048641207,1929773129,-791555836,-153122073,-774796333,-773139990,-2133723414,-942536735,-1329333757,321549,179312242,-2066599086,-1342016064,-855591904,29685271,1526268276,-812953661,6601041,1952165352,1509548550,-402002951,-290716680,-118889895,-2029586749,-3996672,9318890,508973296,-1912586056,243928,524677608,-1949345698,281248747,-1949069574,-1178497311,-888994784,1236914574,12581888,-1897218557,-1583010061,104530512,57999960,1023606946,175440215,-1207950145,-1934890617,1824500680,-1917470720,-1412920149,-1409330248,-1901344628,113518277,-1868365806,-1845064704,-594609408,50446163,-1274837574,-350106353,-1899416817,1377733593,1977320706,1501620618,779403274,-1274871110,-1205744375,567086081,1962950016,-16398835,108334396,567089588,1596211460,-596491972,604199330,59089423,-919358485,61214345,61345417,-1828272319,855769091,-611442990,567089844,59095583,567093172,-1948545506,-1962929130,520094734,-1169077934,666108805,37495245,-1860537000,-1960916949,-524123693,869961231,-853887790,-2051399903,-853036029,-854543327,4030497,985271412,-855002109,201898017,-980540979,-2135237234,-853888000,52001,1850280461,1953654131,1297040160,542196048,1143821133,1679840079,1701540713,224752756,1953383690,1679848037,1702259058,1701868320,1768319331,606106213,168626701,1852400978,1953654131,1936286752,1953785195,1852383333,1769104416,1092642166,543582496,1701012846,1918989171,1393167737,1802072692,1851859045,1701519481,1752637561,1914728037,2036621669,2361869,1230192962,538984771,4544581,-1471873304,-401247231,663355914,-398129688,-1070384696,-335284294,192184488,1317078708,-2013265642,-1023393498,-1471883544,839152897,-396301340,1534394314,-167650840,259264519,-58710134,-2147256937,-327154748,-401478893,-2018229193,141820732,71042996,1639187060,-1343740024,975169604,1342523018,33900230,-966873624,-402651834,-2007474522,112461126,-335284294],1048561,[41189544,646480052,1317077057,-1023409898,-1880555725,-167283457,1148551364,-466421621,1006651018,-1274449403,374243585,820707329,578076682,20747188,1957957748,292815420,54269364,-1749808268,28313579,-347858456,-402542587,937968639,-400062463,-947174350,19720387,669525898,281343556,31982453,468239104,-2012771839,1996423751,88508928,897001276,1967353064,1131669522,425600,-390069387,1007625220,-400657661,-269993627,-2006862848,1139337255,1187382960,1187382273,-397410048,1951947834,961013872,-1275014680,-400062462,112214986,67192518,16795334,1545398352,-397118376,-1276626647,-2004372480,1135405095,1187382448,1187382273,-397410048,1951947774,957081679,-1275030040,-400062367,112214926,67192518,16795334,1541466192,-2127268776,71246,-1979681304,663224935,-1975292440,-352304858,-400757972,393560773,-2143105816,1962935934,82362371,71044900,129238389,-402396032,-998227189,4253715,1005070216,38258243,4624128,1996472370,851680534,107383488,1912798336,-2130594807,71246,11803115,167777768,-1273990137,1964025857,605225986,1946364935,-1023233022,1586158387,-1866235642,-1672428800,-1975458566,-465509152,1019488832,-453609510,-1017602752,-1342048582,-152506720,-230823885,-2065258320,66370299,-33686036,-50463235,-1073082588,1458242420,233603984,-1070338933,918870158,1085800568,-958886400,-16760826,-969403160,-973076922,-402651322,1187381401,-1830289146,88524288,1553262592,-2065256528,-1341918534,645983756,-2081423297,-1280307772,602464394,-2030558173,-399265568,-1070390497,-930359157,9444874,-973208972,9518602,-973208972,208989450,-440349186,30244870,1060360,1104734458,963985576,-1975410456,82362592,168813696,-2045807397,9955548,-393017227,494141585,-1280307477,-941039478,-2046555102,583395524,-1975409176,550273248,-1192718672,-3933406,128976246,-1270755864,1106307219,-956371480,1187381255,-269996027,88524379,1541990408,199754935,108956226,-1186855448,-85415829,-503024330,-399250439,-1460863284,-2146732784,1946158462,89062950,129291243,2122318256,91553797,-348034328,-1332497401,1098180609,-1996580376,1100277799,-1879506453,1019413830,1007318016,-1341885183,-1341985901,-1008715257,1867385357,2035494254,1835365491,1936286752,1919885419,1936286752,1919230059,225603442,1885696522,1701011820,1684955424,1920234272,543517545,544829025,544826731,1852139639,1634038304,168655204,906628388,1143812656,1701540713,543519860,1953460034,1667584544,543453807,1869771333,604638578,-1191181637,-2135884312,1910796518,175505212,1951134946,-35079931,-436212501,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1726778197,-65121456,-2048523856,-1912316277,39750619,-75489397,-1341491728,-8067566,-1511456186,268140801,-1341361147,528803348,1566074459,-1341785623,-393943533,118381863,-1156341569,-611450752,1711284239,4389,101616512,-511613440,15,1723927398,-1070373205,1711282337,1745323,650029926,571648,-492083539,-266268677,554675046,1722509048,379699251,-1096063488,1722613788,1726516395,1725992107,309675,-492083539,6340347,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322778,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,5160619,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322772,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,12084907,1711313408,-1070373205,-524162932,-1196726780,-1419313153,47206,-1419378542,-1933560986,81838560,-4674714,-1096063233,862322760,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,4374187,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322748,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,3587755,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-391420412,862346121,329302015,1528760079,-815966106,-1633050967,-1752459381,-1751345268,192349500,-259267534,-13703471,-1013485404,8857216,1977289455,-2029092859,-1007153152,1960512082,1662421778,79856384,201352608,6660616,-1961825298,-2097126634,1704985794,-1560861696,1525547109,-1500331016,-1396003714,-792428544,-1962301510,-1033008376,-1738237777,-1928615972,-781808389,-2094880769,-2094890206,-1753447638,1532582488,526212958,-12537,-1,-1,63498751,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-739639297,-253,-1,-1,62646783,1962230504,1228832816,175244288,4800128,-352095225,-1360490369,1662421802,113410816,-1460871030,-84183807,1946265836,-1429959941,-287114425,1228832963,124912640,4800128,-397314809,1202334337,-389808926,779416823,4800128,-2146995708,117459262,-477481358,-1960155928,-2097126634,-661977406,1963043052,-1460864261,-1946455039,-486822973,1048626159,1912864841,1228832775,141887232,921232266,-1012141270,-1976937752,1049232990,-896794551,1858001550,2042628858,-1898827000,2083964378,8332544,-523116335,-268181295,1946615680,283935587,106415243,-946940020,-125086895,-1258036352,145861640,-489561391,41148624,-906046710,-963972491,-22289782,1541830093,-1939929254,-1176990000,-192217084,2046546093,87238147,-20479573,-70210273,858129273,-276714747,-454942798,20901761,-2082966198,787157188,-779361398,79289995,-1393325312,58326224,-1442500058,536856449,2046611628,87172611,-1309703766,-2115706337,1241595887,-1195124619,-386086912,-2143485871,-1191676193,-661725184,1065474867,964012629,12187187,-670913152,-102573054,1085806708,-2133291520,-16772594,-1152384838,263829338,760342528,1085805547,515935744,62445710,-326414336,1476419327,4241496,-1899767666,-2116340776,1974097215,871773026,40864457,-779361839,-489160020,-1321306629,1391121156,-1912586056,-661774656,1342178232,861271179,486487789,208989451,4241438,243325070,536805394,-661890979,-611558881,-1019487741,-2143478666,-350522657,503734293,-1152384838,347715724,751691776,-1168046305,-661913472,516145667,-1073694714,1962944488,-947897081,-1070336394,516103943,-1073694714,1239120,1342665818,1273545355,-2143463424,133002951,-1896037601,-2116340776,1974097215,871772973,40864457,-779361839,-489160020,-1324780037,-1930767612,-1010695208,-1172437408,-1933881344,1358264,523001576,-2135269113,64523264,-1009634366,1085855886,515935744,1342178232,1593830539,-1021356032,210447953,976111174,-502959068,99350775,76164678,-3974663,-1288523493,-1221151308,766556600,1904806077,1953654135,1869182329,224222064,1685283327,1785227110,-1480889237,2052915168,1651925880,-1364431506,-13959249,555482912,623125312,673850974,137060137,436210447,477961083,674899725,729688354,876360572,960443710,959985440,909456429,858927403,863792,-2075560121,1951232843,1985049935,-1907716792,-1873899700,-1840082608,430931,520887815,488315674,472582684,-1756954614,-1723230136,-1655858357,-1605329073,-1571643055,-23725,-436096944,-435113851,602495108,-148571571,-301677949,-297607034,839248515,-289109276,-1396375998,-169719058,548988415,105352711,12189491,-1951665376,55020055,-1703954,-1,-1,-1,-369098753,-65398,-1,28313168,397444582,1085834470,-1329558016,-425662944,-423611872,116795120,1948254359,645932555,132055191,-821899944,1448302076,-326951343,653036304,9899648,7788832,105286555,-427691893,-390004721,140413700,-268377215,-661732597,-1409281863,-131800950,91543612,233567714,-14308208,140935431,1175058432,1725537032,281314048,1532909855,-816314531,-436096944,-434720635,-434065276,181229728,-1202708785,-661782464,-88067496,7341702,7212683,7083659,-1461116933,-1202708895,-661782464,1846446586,1813416192,1879492096,1492844544,1636690207,-1342170904,407431168,45150346,-1978121752,-402345784,-393603014,-1335790871,803797514,1954588696,-202638589,-1054525,-427163472,-1340595480,-387872254,78649371,350807434,-401887208,34347018,-31130844,41210500,-527826676,-51901520,1630660887,-1325417240,401401863,145805450,-1978145304,-402018064,-930474018,-672648528,-370636265,-1696046833,440575,-1340616984,-387806713,145758151,-1058478454,-1979076585,398059745,-1343747152,604113943,-1327461637,397010955,-443927888,-384326936,-1325768489,395634699,141828264,-1070375941,183033,-2081944912,1971365911,-1979600649,394127590,-511048784,-1340639512,-387610107,-1578887313,-1578697180,1609042864,-1977611241,-401887008,-1863772325,196147808,605507048,-1327461665,390719499,-1973387543,-198919709,1976009964,-209000436,-855705886,-2135625867,-1023363901,-20987853,92874255,-101058055,87631609,-101058055,246465529,199817884,65539607,-1878856960,1975560399,-1325753326,385411117,256014,-812645653,868417828,-1901018176,-471270756,65539606,-1878856960,1975560399,-1325753326,382789805,256014,-812645653,868417828,519816128,-1912586056,279013080,-14326272,1711276287,-432820144,-1468930960,1951950368,878086,520159232,-7935805,1048602740,1946288201,1228832777,41157376,-13412117,1958725518,4622848,158597180,1182073148,-336534344,-257640445,1946499878,-1409614791,-72628084,-1979685472,-1962908122,-1191156970,-1595408372,32815880,-2094580248,1704985794,263515648,-1260071704,-456136701,-890764620,-402541340,-54270779,-464474778,1480632417,-293395084,76113412,1220038686,-455569920,216042081,-1973295608,-973078506,-16777210,1642513542,-872865960,2122381191,393543686,1966383336,-432820201,-1468930960,604533764,204961276,-399250684,779302043,1949611240,-1608204741,-1472919832,-1102023679,266903593,-1975547150,115835103,1946484608,-1607221698,1958798208,-1607549386,616444395,-33246048,-30903092,-2094762808,-202701370,149191,71747328,1187381248,1187446791,-956301300,2630,1966353640,-397808836,-596495256,772558476,-1996270453,-617412010,1966347496,874637322,-1976695438,-1979764196,-1976696226,1854407276,1284124165,72255489,17254086],1048562,[1966350568,-242685937,1962950528,-386431225,-142085503,-2009849880,-1070397866,-32086399,-1007187969,-81327871,1326383648,151200021,69280335,557600530,-843122809,72780704,1966321896,868083759,20719218,-964486540,1946303494,214336266,208929596,772195971,1946244155,113672981,22297390,904596596,678690876,22297390,333985397,4161777,-142145675,-2014180120,1418342135,-251598845,1317803912,1418407436,173443332,18245249,-339725568,374243604,213123073,451657778,18239105,839693312,-254482240,1962950528,1358399241,1492241640,-142084217,654901699,35715987,141829897,1326383649,52499733,580341513,1325990689,69283735,1008160530,-223,-1,-536870913,151135490,-162463958,-2144925681,35979999,1358899721,654839798,620945216,-15003902,135263828,48169039,705233445,267800831,-545239288,151135490,-162463958,-2142304241,35979999,1711217426,1325928438,547588864,950348288,16776960,0,509606656,4243280,20766606,494154615,10487542,-2144701183,16818190,-100642328,-31153692,-386162202,-336068576,-1610156523,57999616,-401871880,645922851,-335675232,-1269237503,-899735808,-1325793278,329050123,-1974452212,-401887008,-78113897,196147907,605260264,-527806273,-2065167440,-1006938093,9969289,10094220,10229385,10358409,-92013629,1242002432,-2035019916,-466435079,-335412806,-1930825692,33667584,1007625452,856323343,870003648,-338545719,-326937224,-1997763826,-386269114,-108330899,-940699728,3142,-1995678069,-527824290,839853292,-1961789984,5236959,1586092331,173947660,753656439,1055448971,-153539840,57934276,-167616887,57934532,-167485815,57935044,-167354743,57936068,940072585,-1267400634,1532516603,1566399065,82362717,-1056642111,-356449047,1355020292,1139146928,-930463516,-393592604,1610335064,1086018334,-153383424,16818182,113651317,100728992,512607118,468189344,-453376001,-335666015,-436147456,-437716063,-1610156290,-109805568,10495616,32241791,1595890681,-83885366,106979167,4241438,646568078,378273895,11534441,-202866458,520516608,62152967,1552808911,130491936,-930283521,637853889,-1946007671,216580552,71796774,88589862,677154202,-16267482,-1043297025,-1993997088,-796130745,638380225,637814664,-1845147706,-930327034,915259534,-454515310,-388986112,123601127,638082189,637687689,637814664,16713671,-427773702,17770096,12707871,38242598,637584104,637814664,-63545,88589862,17770130,-536801513,251658509,-13701119,866208046,-805302336,-1912592200,1095888,414767246,-54489600,-13371853,1894121648,1726599505,-145119757,1946157505,-2135907071,683176166,-1898410496,1724944064,2101072,-121498,571441151,-363305472,-268393512,503385902,1558946129,1212868858,-776988299,1105749222,-1341098680,-396302625,125126712,1692860336,-1018679320,1642332852,393494696,-397390258,41156918,76088459,-435680168,-420010911,-1979599775,-343873852,-1044345711,-972880672,-1047768637,-389953909,-1044315388,-1017574168,-1912586056,1763086040,1730579200,2942976,1894121648,-2040461537,-2038373180,-326412860,209052682,-33134975,105808383,183173184,-1090099583,105808383,-815988735,1967633384,-422465509,1202382948,-575663499,-1578606362,-1341557433,-396040449,74729368,-2132409424,-1335926845,278980657,816898186,-820995608,-396402693,108330798,-889585740,1408958466,641227917,-63545,-524171124,1200170500,-1043821566,-2010772248,-970587065,1536820551,-435048198,-423130592,-435900383,-436096991,-419450847,-435048415,-423392608,-436031327,-436096863,-419450719,140283297,385945382,638606477,1428095247,1187507339,1560293380,232784143,17760257,788475632,-1070358195,-1194328049,-796000216,-1912596296,2144472,-466435954,183032,-1207558573,-661782520,-2147479365,1971324543,75464751,-2094434880,1962934911,2145059,-1845147706,-1912594248,-2049088,639601446,251660279,-4717195,-1207702784,-617414404,-1017438457,-1064384372,870774203,-1543453760,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1588592640,807731216,1479556096,121378676,512431474,-478150640,82559024,-1976631502,-341294457,-1576554494,1235222601,-1342129408,1006875834,-1157204985,-725960704,-1983672829,-1744805098,-2097041261,-2081553214,-1070398230,-1577038173,-1976696734,-1549266297,-472842166,445090606,5022632,-1976636463,-2136462681,1705000932,180364288,6660804,849840686,1713801384,1095936,7989254,174885414,189565478,603998624,1963080958,2088773141,242552073,1206437258,-1964471808,4253889,-1995978614,-1610588146,121372745,71042932,1929380024,119584771,12189491,514585376,5291783,146391091,-156503296,268470022,-189069708,515958785,-2097125984,-1007811390,2041169,-523107407,-235532623,1913126016,1505820162,-1962986813,503335198,-561056205,7616197,983534126,1458766760,-374885699,1593570347,-1064380276,119849759,-1744805214,653742672,1319305292,-779003392,-401820439,-782367449,1351388134,84470016,167798432,-2146863617,-534503453,200000266,-472775247,606135168,-1564276001,-1031602074,-1597772283,1183318089,4890624,-1610529144,1183318114,673760007,673730640,134238288,268437504,1073745920,1073758208,673988608,774514989,808462622,808464432,12351,538972176,16986144,466618115,-490529840,466623440,-1784610988,-22733872,466676103,466623440,-279475805,-261809200,-129894323,-415634343,-399574951,-406786094,-26286350,-11272365,-272109404,1251409920,466623519,466623440,466623528,466623440,49808376,58196924,336855672,16847892,1966337,816840766,1085834470,-1950315008,1509954334,-1070338765,857735358,-1178235137,-1410105344,268486017,-277680581,4241490,512344206,-1070399469,-2134916978,5290240,-1765881716,-1415237976,-1070335774,-2134916978,571649,-1426063176,-1325604181,864347697,-1094676800,-1061181306,571649,-1523660660,-1325669717,-1098586574,12560454,2144512,-1523660660,1476125355,855670463,92874432,-432820129,4241540,12245134,1015079954,-1979550412,1914079696,-432754688,-1181698940,-617414626,-997535181,-1978932760,-19266608,-1326193980,198502575,-1364143990,-1978937880,1960000496,-393301998,1074531266,-1901010806,-1341407512,-1333467595,-1148918218,-661913600,951107726,-1732344602,49064,771752633,1111659181,1962884332,46628871,-1416476086,967896546,-1665235738,573352,771752889,-152268115,-527765808,1975794412,1086816261,-337466478,-2065286480,-1079467330,112787576,-1523649792,-109721211,-1912586056,270436824,-432295936,408545412,8851072,-393301996,1084754746,-1380970379,-1475661336,-2146995195,-83851482,2008748523,1200500410,-202053626,645924212,-956628857,402686982,199791792,-1976556533,-1340190496,-393943470,1478488125,-58716300,-402426880,1404043573,1055425766,1085850608,-388461056,158475740,91555132,8857216,-15365,60746239,-2065280848,-1912586056,-430853928,-393301884,-1062729026,-4979340,-1332737301,179366036,-527814620,1387273808,-488078106,1951932399,-1869561072,-622328972,-430723072,-270276476,1342578371,1962123240,-1900006644,7651264,-469383386,270958832,243322624,-1271922672,-855134208,270958608,243322624,-1272971248,-855396352,11200528,-1340143784,-1115363756,954837753,1346380801,1476403432,-789177229,-1336917980,1485104725,1929384168,-430526451,479455364,-400787736,-1161618317,-628376969,168805251,-2025818688,-1258180397,284983312,61870196,-58711883,-402164704,61866053,645931189,147783696,1342181422,1200500307,-221976570,41179227,-1336884231,1485104727,281870516,1405337651,1949367424,1304579,1052288,-1909564624,-1679292857,1946661106,-1329333799,163113102,-527818740,-1259827536,1487979273,521045222,-1329956933,-1903892903,1944585799,-352094990,1521520751,28345574,62406529,28312181,-1326573685,864347739,-1946209326,-947188401,41665586,-1036861186,871621290,223316991,-1003305077,-1057095045,-508640718,-2147125773,-713687054,-2065277776,-1409565284,871366633,39291593,-186118476,343186688,-2065277520,139955027,1334495539,174033676,1528507112,-2065277264,-2129673341,1941607931,-9180925,-2065277008,-423579453,-18076,44590308,-119405452,-4650005,-1469782785,-502237951,-1206862856,-1124065863,-1628853159,-453055717,-1704096,-1,-1,-1,-1,-1,-1,-1909331201,243920896,1235222624,1023288320,858420482,-975466789,-2147453898,1963792764,415364892,-1961462504,1625522649,-389707168,-393609199,183026058,197691904,-401951541,616759359,-166808561,-773271068,350802408,-8338688,-2042071289,-771804421,38702051,5279625,973103776,863307590,-2034224302,1244067781,-1580727552,-388956082,-1269118973,-289109490,-339375550,-301929728,-1966801334,-352261180,-1975325184,-352261183,-1018499584,1122944138,15451530,1257111787,-997538562,15401195,-1047903506,15401195,-436253970,5814302,2025576590,32553715,855642296,-1387282945,-464961815,-435418015,-420273055,32553569,855642296,-1385710081,1933223145,-396929525,1583302963,1273699186,1084776932,47206,259325952,-201524351,-54852236,867625971,1354964928,637897254,1642333576,1642466316,1642525476,-1072994728,854071669,-2132769063,-164425756,-590347087,-498727565,854995961,1712843712,644220043,-141884109,-1476393799,1711764991,1174988993,-930417182,-115353973,-61,-1,-1368195073,-1364808040,-1339183193,-1297895330,-1331907933,-1364807454,-1320570969,-1297895055,-1321487709,-1297894887,-1304120669,-92229008,-854428800,1436307520,1183575179,172394754,-346514083,102654024,-326434710,1981152384,4241418,1726535822,-2127631612,-124314,1724033,872217346,-992440640,-167705546,74711490,18364100,-1912586053,-1965519909,-472836770,-426246354,520554413,1720242017,1948682261,-855592448,273058368,-2143510748,-2126769806,367529335,49211415,95683955,-1023026456,-2013236064,646452294,1720189044,-622279915,-397184507,548406503,138737190,201487552,360611841,202470666,-1977200638,-1073084604,78643829,1476413064,-402634590,-1030879985,2142697611,169180800,-1005975948,-956431755,-2011929078,74711398,74901050,1256917428,-402275608,1114768850,1912856040,-386364867,309528068,1947335808,147322378,300428404,-400037115,753403219,-400592379,2122319108,91556373,1912931560,21954065,1190643061,1962934554,86566920,753402859,707445509,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,-402416407,2104624345,-1341921560,1156982320,41205768,2122318092,292883221,642777612,168248458,-1342016064,4622340,4760152,-1241248024,360611967,168195083,-33393212,342231750,1946248840,1994799620,-351685628,80078900,-1962677528,-386888742],1048563,[-85457845,360611843,-402295541,426902526,1912913384,46721044,-236449934,-32869884,-613088946,-352042520,71690243,72607939,1625827442,641773571,-1073199882,17564276,-402634590,-2014837641,-401640956,175243922,1912912872,68216837,350749675,585679620,-399150588,-1977220305,1134693956,1208403456,1223184384,64350212,1760042610,-1948611837,58452208,1912883688,39118863,2112359026,-402296316,65733586,-1023158552,-1575729527,-1974271884,-478146466,-2114223969,-1995606437,1183388230,-402148336,636158903,1208257318,67059016,-4717706,-1059027453,170264288,1183387204,1686775314,-1597178366,1183383669,-1628912880,-1974439421,-1977216930,-805436804,-157233280,57934275,638635904,638475402,-1056619381,503710440,4374279,-1430025558,-1968569936,-1968526652,96905927,-1662515311,61663235,-1209528462,-401968639,91358176,-352111128,-402148347,-389872841,91358021,-352115224,53078019,53995715,1156063090,1208403458,1692954624,57993219,2145914738,-401968639,91358120,-352125464,50456579,51374275,-58718093,-385649407,857604247,-992440640,520160310,-972944664,17670,4589254,1193705472,1139335168,-1163874303,-387055114,-1461189759,58452223,7683712,-2145947134,268453646,-1342102040,32946864,56879342,-385905944,1719731037,-956301798,-402647738,997331855,-1900006626,70698200,-2135744767,1929315304,3532842,1048585586,1929511029,552335363,-1900006626,406242520,-2118967551,1929307112,1192132618,283643904,-1274711296,39446533,40364227,1961369458,1208403457,-1796730880,44361730,-1343746190,-401968640,91357912,-352178712,36825091,-1022081400,1912749288,21620771,4720326,40495248,1912764904,8710163,333975154,-1981533695,20714566,548668788,-1023278360,7675530,-1014969346,274606720,1183386483,306612500,-351254903,340182809,-1977220352,-165281212,-1960440220,-470332644,-1995422071,-960294314,-1275063226,359041025,7612040,18501249,669565696,-1977519616,19140678,201646272,32946848,1370350,547884658,-860617612,1084753643,-1431042699,-1023307032,2145931603,1979661312,-339442172,441111,-1460394823,-401705856,1743314592,1274339840,-2135626123,-1017423367,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,1344940586,4241438,113694862,-1325465458,-434051552,-1900006496,-1862223656,1411317660,-816308480,-335415366,-1023374174,67112970,37756928,-335416902,-1275032158,1960256544,1824413200,1927336115,-102021629,-2040615890,9281760,1149970115,48808197,-1979694430,1134695494,306612736,1151483684,323389952,-1979693662,-390065594,275155462,-1067391872,-1005976596,-1979693406,19140678,201646272,292981408,168814208,4694726,138709542,-301730118,1095875,50489079,-763359674,-490647552,82362636,626577419,516096015,12180366,32553473,-1021349901,1317727538,-578361344,1929300456,3270672,-1910633614,-1172329253,-487718416,12174312,32553473,851668467,5147373,-388145176,208862882,1912605416,32553479,-320689428,616124867,-24319756,-138801038,145288193,971507829,-1259085091,-1017513600,855570920,340167140,359041219,1328838,7612040,18501249,-960235264,36358,7612040,7677578,292873226,605046410,1954561183,1959591438,1954626564,-33822714,-1173230599,11535350,284092654,1929248744,7071747,-1101965629,-239468478,506113,-498930004,-1017226757,857624915,-120025408,-1668284232,5512959,856322847,-1912206656,-350522112,-1145031914,616103956,-1912206604,-401902336,-169681764,-1259375285,113703296,1493172366,547930971,-860617612,27791339,1474823540,-1475941378,-1274842108,-1178339055,-138742748,-322948351,141889704,-488872984,-109005578,66501315,-1007811920,1910796518,-1972312381,-1015945532,-2065284944,-1912586056,7512536,876380390,-436272523,-4987509,1891499827,-769201739,-2065284688,-789159452,-527822812,-452984903,974136417,-502238012,-1232290826,-1124067143,1659483541,-1327895790,1719985730,12250419,28861952,1711276032,12174643,868388416,-781803777,-492083504,281444601,536935041,1135667314,1642366182,1642466316,1642525476,-2065283920,1711276223,443,-583834112,-1966765210,870289140,1073789430,1721689738,-1969237039,1722640116,-253639885,1169179765,1642366182,11583656,-947840139,-8318976,-781049856,41635174,1185973483,1085834470,-2585088,-1107348508,-1209420243,266567889,78771763,91478992,872014406,-339725578,79269905,-1460589824,1711764991,1174988993,-930351646,-2065283152,-561195381,-1124073281,1189721701,-1230587120,-1124068935,-1997949327,-1963005167,-31182267,242549308,-2092149365,1971324098,1166704718,-1007030706,758263857,1953724755,1109421413,1685217647,1767982624,1701999980,840960525,1294807344,1919905125,1917132921,544370546,758329394,1869440333,1092647282,1701995620,1159754611,1919906418,892351008,1835355437,544830063,1869771333,537529714,758591538,1635151433,543451500,1869440333,1126201714,1768320623,1634891111,1852795252,1109396746,543519585,1969516365,536896876,1969516365,1092642156,1867325440,1701606756,536887840,1969516365,1126196588,1342835968,1953067617,1749229689,543908709,1342185521,1953067617,1749229689,543908709,1056972850,1061109567,808517695,1330785585,1917132877,225603442,808722442,1867328818,1751347054,1701670770,1633960224,1919251568,1767982624,1701999980,891292173,1143812400,1819308905,1092647265,1953522020,1176531557,1970039137,168650098,825242400,2036681517,1918988130,1917132900,544370546,1411412591,544502629,1954048326,543519349,1953721929,1701604449,537529700,758198323,1652122955,1685217647,1920091424,168653423,875574048,2036681517,1918988130,1919885412,1937330976,544040308,1953066581,1920091424,168653423,758329395,1652122955,1685217647,1852785440,1819243124,544367980,1869771333,537529714,758198326,1802725700,1702130789,1852785440,1819243124,544367980,1869771333,537529714,758263863,1919971139,1936024431,544370547,1702126916,1869182051,1917132910,745697138,1701597216,543519585,1667590211,1850286187,1818326131,1769234796,168652399,825241888,1328498989,1297044000,1920091424,168653423,842412320,1937330989,544040308,1769238607,544435823,544501582,762602835,1853182504,1952797472,220819573,538976266,1850286112,1953654131,1095320608,1397706311,541280596,1802725732,1702130789,544106784,1986622020,977346661,824183309,1395470902,1702130553,1884233837,1852795252,1917132915,225603442,909189130,1699556660,2037542765,2053722912,1917132901,225603442,909189130,1767124275,639657325,1952531488,1867391077,1699946612,218762612,1378361354,1297437509,540876869,573654562,1497713440,218762537,808656906,2035494194,1835365491,1768838432,1699946612,1769108835,1277196660,543908719,1277195113,1701536623,537529700,538976288,1851072557,1801678700,1937330976,544040308,1953066581,1667584800,1953067637,1867260025,168651619,809056049,1936278573,540024939,1869771333,822742386,758200631,1802725700,1159737632,1919906418,925960717,1143812152,543912809,1631985712,1920298089,822742373,758200375,1802725700,1176514848,1970039137,168650098,842544945,1936278573,1866670187,1869771886,1919249516,1767982624,1701999980,908069389,1143813424,1701540713,543519860,1986622020,2035556453,1159751024,1919906418,1968318509,1699946606,695235956,538970637,1226842144,1919251310,1229201524,1330530113,1128879187,1936286752,1953785195,1852383333,1769096224,1092642166,-670429894,-1272327165,12058864,515344992,62406656,-254531148,1610657792,2209641,-1164198640,-1327962647,863037070,-1334712640,-91822528,-2065297488,-2048524112,-90066,-1573990154,976158718,1979710982,179986,-373634371,-478098150,-1160528449,-53689367,-1896873800,-419450664,-1147017695,529268704,251660279,-491058315,-1960866817,-1899723257,-435375896,-435113887,-434982780,-431837109,-426594229,-423611829,-430657393,-434982845,-432623551,-436162493,-436162496,-1173573568,-1326578702,-1333467631,62437889,-1174294290,-1158806568,-1158937670,-1158937638,-1070464064,-1166558226,-1329893697,-300446975,-1979418741,314114647,-1151353600,-2082435863,-92207678,58000345,1257124016,313583615,2025686246,-528291397,1468713267,-1123109886,-1813398651,264471537,-1164575871,330349170,12158182,-490720511,-436162308,-1975458749,1027663072,242548736,-1179218757,-1262682088,205777339,347143915,-1951365914,15429862,15401195,119828964,-1951342454,-997560090,-1934593562,363884774,-1917811482,15429862,15401195,-2145095196,-1901010806,15429862,15401195,-2145095196,-1971272458,-2146994720,380666060,397444326,-1901034266,-997560090,414216678,482182374,-113972804,-215719452,817390054,-1127182848,430964992,2112390374,-424824596,-18076,44590308,-119402380,-1179119429,1287454749,195815868,45743851,1365304320,-401372997,-463926818,1946265700,-1141972464,498710544,-1133527808,-351565591,-412292866,-1326586904,-393943526,464580086,1676182758,-434327354,264628356,-2065293904,-1341131288,-393943507,514860139,1021871334,-434130925,983427204,-2065293136,-400937240,-873985165,724035639,-433999621,279832708,-2065292368,-1340992280,-393943518,12521891,-1126712064,-2134176279,-75448093,-1341491904,-1115363650,736738537,-433803061,-1335827324,-463149360,1946331236,-453448958,1946265700,610329850,-1963776771,-422465312,-1469782940,-1963297534,-1335826748,-393943515,649122962,1810400486,-433606650,-1158893436,-1326578754,-393943512,699456641,-1947695898,-433410011,-854608764,-855591920,-1973296112,-429126432,-421493151,-433344415,-401690492,78182374,12192884,-1188447456,-402646343,-1578890793,-1578697436,-81518108,1085809126,-958886400,4614,9834112,-1777434496,-386260992,-223334756,-1174707994,116850687,1948254358,-956833273,38406,1048676068,305397874,1085283188,894953552,1968750602,-427815934,896002182,1273402032,-351677464,1967171639,1971365892,164030471,300613808,3948324,876349042,99287671,-1341541400,988303360,-1833895371,1012419558,-436046848,1913046858,-82706432,-1341548568,-393943508,432878370,2133116042,-1084815602,146390876,1605300736,-385649416,-58719947,-167086806,33592838,636027764,268483329,-469056557,-58688647,-2147126102,175486716,9832182,-385649662,-738787064,1975057536,-1777928664,326369792,9840256,-1775861513,116849920,1946288152,-2142966974,-50325466,9832182,-348883960,-1644396490,116796789,1962999958,-1777928662,326369792,9840256,-1775861509,116849920,1946222616,-2146374898,-33548250,9832182,553940228,-117434594,956072131,116793205,1946288278,-1777434612,645924864,-335740778,403603461,243270144,-116916201,503087299,116794997,1962999958,-1777928675,208929280,9834112,-1775861756,99351808,1576576,386826241,-1007090688,1515141,503924597,116785175,1963196439,1392279612,116798325,1963458583,386332214,276038400,9832182,-166234878,536876806,367726708,9832182,-166824702,536876806,645924724,-343998440,389951492,1392279552,-1007091340,908729656,1178942034,1574646,-2146536188,67115022,-393936712,365767574,-2134640315,-83879898,-343604808,8240110,-116895512,-1326402365,-401695741,-239851368,-1847062884,1962884136,8239904,137619536,1946172504,1946237972,1946762256,8239884,-1157202456,451412093,-2134640376,41287676,-58672149,-352160428,-721649517,-1544879499,1967520896,-1873810685,1975057536,9955587,1966603392,11266307,1968372864,13887747,1967586432,14084355],1048564,[1946307048,354826791,-2139982848,58020860,-2147450647,2020871420,1966341248,-385830907,-58720004,-1341819596,15919361,116835320,1962999958,386332186,-260832256,1509110,-385649656,116785310,1963982998,-2147095585,-33515994,1576576,-1343686136,-2131016406,33573182,1048577908,1963130953,95965193,-855526465,116807696,1963458584,1355020793,109494323,-1065091047,669516660,-1662298093,-84549399,-81103384,-165026071,268473862,116790644,1946288278,386332181,242549760,9840256,-167056387,50337542,1810432885,1206450943,97338666,-154928645,-2147477498,-1007091084,116835320,1946419223,386332407,-260831232,-1763052880,386332160,-462158848,1509110,-153258744,268473862,116788340,1946288278,-1775861553,243334400,-394264463,-386268857,-79353354,-1070392371,-1078696469,-315420467,65651705,2028210943,1006403635,-58708356,-2144633276,91510780,1968766080,-164319201,134223622,850408821,1509110,-1339263740,386332208,594871040,535506608,766559224,1509110,-1340836600,386332195,192218112,116791728,1963130903,46150146,-390057248,-1007087058,259580938,1195164810,1396442236,113641342,-134217703,751078083,-1685996729,116840238,1963458583,-1685143979,1509110,-163416828,50337542,116798069,1965031447,-1777928682,225772032,192687676,1967979648,-336547836,-155176446,33592838,645924724,-1325596522,298379488,1139523634,1509110,-338332384,-653465374,-646782838,116798699,1963065494,1949187119,1965767817,3729418,-256321931,1020193614,-401967827,-931856342,-347410248,2083531968,421956287,-1576348416,-1007091687,9840256,-1682391299,915126251,909836314,-1012072420,1509110,-167414776,67114758,-1577411389,446890112,1876736,256014,-812645653,-885397309,646589300,-58720183,-2147126780,896927468,-1962891032,-2097126634,-1460926782,-84183807,1946265836,93005563,-83868023,1227262659,83656704,-327154318,-401967610,-1960443779,4622597,9824451,-644955764,-779290741,-326909554,-1208186104,-1979534588,2046611460,-1963947501,146342228,2044907776,-791611135,-169680175,16155050,1976303136,1355187166,-713699330,-661731188,-1946521922,6940924,-1070390669,918935694,1397751932,-611530612,1482408763,-24967819,-1962314752,4843772,-2147220878,-1995914109,-1950154682,853510904,5022207,-796138505,-1618222127,1251999824,854062592,-775748609,-1748892704,1344179139,-2033044736,-772043814,66048495,1225193211,41222656,-100408623,-1949922365,-1158860065,-1957298048,-1308914704,1957163780,525579,1592816970,-1007042509,-1312412834,-1008151805,-1912586056,-424628008,-1564462460,-1901985675,32684544,854480304,1430056128,-1313864076,233538790,9113216,15001601,99091314,-424103936,-402209916,359858587,-2065255760,-1178992453,12189726,57272320,-352210200,-424431573,-1900006524,1053042368,-2135817980,-2147476504,33584446,-1263529358,-1070365466,-1004093298,-1308551106,190593,95929095,314114739,-854543238,1376875283,-335415366,1971365978,-2130935784,82513780,309661864,-489855000,1976303328,1976565465,17426643,162815211,-177073203,332206516,642927986,36504971,-1964471808,115458252,-2147366528,-457175836,1490323972,-1977167862,-822214027,-855375432,-2145684717,376703740,1947335808,284983313,-1047917452,289149220,-1040315020,28958443,-854805504,-402361581,-1007091566,-1612149072,1950394608,-424169462,-117395068,-1332708885,-259200878,-311115766,857659530,-1899459648,-1060926760,225707240,91557692,1877514672,-20840720,-166677048,-469695003,17081338,17174156,-1014317005,225709860,91557692,1273535152,-20381968,98956993,413393921,437160961,5021953,-1593769821,44236878,1275512577,-1943137792,-956281330,1124194310,-636580813,-2011170047,-1023380210,-2065254992,-2135314245,57966842,-1179008069,12189715,33417216,-424234813,-1175733372,1954675328,3794950,-1179003205,12189717,31582208,3860675,-1174387480,1018888695,-198919936,1954588908,-870389748,1967912674,-343886608,32619018,1946238188,-115297277,-1901004093,217034216,-1327461880,-274077554,568640507,568785700,-1088118300,-1195138586,-155582464,78704131,-874583826,-1007812432,1381061627,1428051798,1086254219,-2116121088,-1962933278,83656946,-1668676493,-422510468,38027,880071179,91612292,-351989016,1976368683,87746565,-855760149,1575486837,-31855867,-402295348,283837727,91606270,-351946520,1976368647,99936259,1583292253,-816096934,-1,1793720319,1392513028,-402652741,-1017446398,-397324203,1482227716,-880032931,11598492,1088701414,1088741514,256014,-812645653,-661928826,11598492,1088701414,1088741514,256014,-812645653,726910086,1358660056,-529376503,-1950103838,-436162357,-1975458749,-2042567456,-1327985724,-465312256,-455046592,734299712,1358660056,-503025143,65404892,-2015040552,-1947629838,-1176073255,-355270652,-1107295559,652986049,-2116777072,-1191181342,-792854524,-1877480506,-2010767184,-1434451835,-1177318585,-457310206,-1878791226,-1191385601,-1064390656,653733522,76727853,1075062672,-2054674905,1202356224,-419435806,1381099910,-490613109,178440,1509955816,254593,-402651975,548405261,1509994728,-402652487,-54329343,653733522,76727853,1075062672,1347506727,1476433128,-387818919,1085808323,-958886400,-16772602,-162442465,141869254,-2147462936,-202686226,1949353718,2746376,-351211904,777738739,-397211766,1130037341,-1966869022,1390957319,-498902272,229688310,-1342158616,4450314,16432067,-1157610264,-1679294208,2109457406,3663872,-402620997,-1144783218,719848224,16825088,-1006730776,78768266,115927250,-389707264,616759297,663749647,-400080876,-1144848383,246677511,-1329393459,-1337727306,-1337792968,-465377787,-436007839,-28776351,-64724508,868442598,12123391,784371376,641927050,-2147449464,-203274326,856090111,12123391,-1967092048,-2010758393,-1434451835,133489223,102654147,-2065248080,-1912586056,1730578904,1763085312,-422465536,-1197283196,-1427569804,-422400000,-391008124,-527766282,-269963088,-1143852052,-201916352,280230026,-402613784,-1918780353,8389888,1086050867,-1963723008,-1944155400,8448000,-1329807896,-1199249709,-661782488,-795950962,1711284239,-475,2232191,13147626,17772272,-1331605218,-1199249708,-661782464,6887054,6760075,-1579433496,-768409581,-150978373,15859,602604405,77200,12253322,16744464,-1030875788,-1178586266,-13418496,-1410111748,-964636674,132573968,-1161600737,-1933901824,1751478,-184661272,1464947536,414713374,-942109184,18950,16744448,512236404,1220018252,1723895296,12173363,-50384064,-22285466,-339476785,1595869152,-1017619623,-2013213464,167788838,-2130348828,71246,4623043,4269706,91546634,18239105,-956644608,-16760826,1317671088,216060422,105253388,4138634,168092864,66239172,-1595897106,-390070133,66566662,82624750,603996064,1959016975,1059457072,-1191642368,365793533,2108695410,-1977218895,2122320476,141820673,83984000,95486581,41146682,-470361722,2078857355,1371798524,-1190923078,-773324612,-2136412985,-152959371,82542768,-322452504,1497409602,-1594062141,1177157701,652267525,-1979423498,4628696,638010922,33842422,1191576259,71707136,-1161566326,1067451378,1947149312,-1461137390,-1342016508,1059490307,-771444480,214174436,1978199560,1042710727,67895296,-198919698,4065014,-401967744,-186464416,-335970124,1042710541,652771072,630188069,-1195121614,1727463440,38142732,-100609408,82185446,82232454,-661928826,-2115583350,99008907,99009670,-1006910330,-1073250678,2114585319,172025862,-402293110,-3995078,-1,-1,1358954495,-1595531088,196092134,-1964334616,-401821472,-1004344678,57950376,-1476391192,-402426848,-816316414,1481297232,508757699,4241488,116840590,1946222752,-1674673877,1929629696,-1641118941,477298944,196104280,-390077312,645982815,-1577189216,-1064435558,9969291,-2146467802,123412312,-534425405,-1031563776,-293556221,-1325143421,787403524,-869366645,1120176878,1480737518,1257119524,-289394102,96633674,1122011884,1381024748,-2098723920,-1223855104,-758913008,-1219885452,-759437280,-461088422,-2091774603,-1964243518,1522633440,-1979520018,28361665,1946179816,7454277,1249846400,1522074039,1350611968,1139146928,-997834524,-997834524,-329713525,695584644,510993540,-436162480,-2042567613,-2042567484,-131377212,1562443649,-546154401,-872493598,-863976331,-339725696,-2082436599,-2132015638,-2084364572,1122895042,-383731902,134271549,1010313240,-590285567,-452272944,-472849456,-617422070,-960562298,787678155,-58055670,-1341930877,-360452480,-1947389437,786878961,-869366645,1122010862,-1975368978,1246424775,1257160754,-1006691608,426967612,168084099,-335120960,-351517048,535003142,-2081504374,-51903254,68666366,25166592,6291648,1572912,393228,131075,22391296,268960770,-8372192,-426725376,964996,-489929538,774171394,-1327461716,-387848049,-672624720,1960852200,-426594070,47748,-1179218757,-991428582,-1325470726,-1014700399,-2065263696,149292208,233230566,247061222,-867910144,-1712782366,-1951650304,47833,-301987655,-69057810,-1191132998,-286392312,-85835198,-2082043930,-2098822682,-1981379610,-527791386,-1002797084,15424117,-1002798108,15422069,-1002798620,15420021,-1002798364,15417973,-1002796060,15415925,-1002796572,15413877,-1002796316,15411829,-2065263440,-1191182150,-320077816,1975794242,-1158159849,146342080,1122823168,1975794242,-1946754553,-9377333,-1157627718,448378508,-99751936,-1783562517,233211110,11590374,-790230810,199639216,199639472,199639728,199639984,-689520464,-689552976,-689552720,-689552464,-2065262928,-1325753149,-405739382,41189544,-2135886357,-1964522008,-394088208,-930420802,-1209498448,-1645704473,-756496758,2000370688,-1950054811,-389969168,993788101,-662022025,-1159150198,1998011392,-1946645939,-2033634365,599347660,-1813907678,1018778200,-1176373504,-503897565,324655107,-1966699567,-1262187832,-773523822,868746209,332071872,-2083420208,-938276926,-623777327,-623777327,-623777327,449642932,-1901064469,216482280,-1327461884,-415373170,4241414,-1070344050,-1960394610,637542446,2098887,645975636,-453115797,-419552223,3980065,-151517720,16804614,12193397,-1232291072,-402646343,-18089729,539920678,1797685248,-1022886400,1085820958,-2133291520,16804622,551952560,-1966137512,82624736,181735204,4241603,512481422,-472186864,272555419,1089536,58048522,-469578880,-423579552,-1469782940,-352160766,-1469782792,-453348351,1963239520,46396935,199958645,1963115510,-35422202,-2138038037,-1168900637,1337655296,4045240,1543012072,-1578890005,-1578705116,-81518108,512303590,-1329397744,-393943413,460456284,276104508,-1157627718,800700328,-128063488,-1023358744,108265532,-385826584,-2035285873,-5208858,-390504218,518541571,1692686839,91554216,-1947601950,1012982784,-502958854,8448488,-2065266768,-468481863,1963042916,-152547062,-203269642,-1332712725,-461052280,1957313632,-1874400509,-2065266256,1692839600,-452984903,1946331236,-336010747,179933232,-1469783040,1359574273,1509343464,418116578,-2065266000,-1336909596,-463149395,1963108452,803756282,-1878594568,-2065265232,4241603,243325070,-1157693422,-675610624,1423799,-1007182104,-1912586056,302940376,12254976,-1209222400,-402643783,-1329334393,-1184569682,1692729343,276038312,12253410,-1206863104,-402645063,-18090133,-427773757,-424824700,-1469782940,-453348094,1946265700,-345971708,-427708170,-425021308,655407460],1048565,[27813092,-397342347,-497420763,-1341461517,-461052286,1951743072,-427577326,47748,-1179119429,484966431,-1325470729,-1333467516,-463149472,1963108452,-430067462,-1414479008,1692689638,-92994904,-469736263,1963042916,-622309111,-203269643,-1934620181,1625588966,-117314568,-100991549,-370477578,-707339547,-1700419158,1431738005,12539390,-796672768,-2135465495,-75448093,-1086884544,-1799553023,-1219434032,-1899459578,-798638144,-1979706183,1974399683,-1172641022,-474284032,2341302,-1326017816,-460527602,246685708,-1998004090,-1017313308,83654,-335101309,-1475941757,-1469156092,-965839870,-1342111418,-331158000,-1337270134,-331157999,1309027146,268778752,-1070398852,512425778,707657801,-2133762425,41484508,243974195,-75497398,-2143849980,846465019,-235525967,-372193142,1317595600,40273923,1183375568,-2046578427,-740019488,105286112,4800128,-804883194,1724973670,130188038,-235486226,-2013051256,61932134,-472654710,-771334519,88508640,50586603,50529541,1049232387,121372770,138174580,171722356,222060404,28920692,-401951744,62173785,-21867288,1242970818,840725760,-2134442286,326441470,45403902,-1263387416,-1304958968,-386102701,-1269104576,-1305745406,4793994,-1023318392,518521780,1959922354,-339018001,-402410266,-768429551,-189014549,-167254015,-402410301,-25120255,-33262568,-1261900858,-1309415416,1381104778,4800128,-2146864121,50350398,11993718,856031672,-1978091831,1241532950,1521602792,488424281,943142186,1961101894,-117081853,18213315,2134506624,853314295,-2020987137,116824863,1963458583,386332392,376767488,116817700,1946353687,11528451,1509110,-379358144,-58720103,-1207601905,1995150336,1966472320,-1777928687,175374848,9840256,-1795114755,-1073061653,-58695816,-2141293565,1567887100,1948056704,939294812,116791925,1947205782,-1777928634,91554304,-342490952,-1775861707,871103744,176037948,897343804,830307132,116793124,1946288278,-913551335,247447950,506322,-1359821686,-2146994856,-50293210,-538386252,-1262225152,-339725710,-343953195,-1683308847,1925718504,1022028745,1019444321,750747514,-2135168224,-697026564,1966472320,-1777928690,125043200,9840256,-2134643715,158601212,-1976693889,-342140537,-339725675,-1687568751,1925702120,386332297,-2106245120,2112430124,-2139151105,292894204,9832182,-2146798590,-50293210,1273734324,486310032,116789621,1946288278,-1775861750,-1498088192,-2138032661,91557884,736863668,-997568368,-1047606900,-1879044679,-743981060,1951969010,1948269602,50102292,-58715524,1007647758,1007254625,839221114,1632448,-998194183,-1326126218,32697328,471538190,724117543,926233651,473336826,1174702336,-2110375098,-1962642176,989888566,1946163766,473336081,938015488,-1202698985,365793538,1358676824,-402620997,-1017580555,1183449524,374243584,1388511233,-1476380184,-1329374656,-1341985904,-515839984,-152546621,106334975,58053130,604301504,1958742543,1996766215,32241667,-389850375,663403882,-1022311178,48991920,266866352,378258401,-1024065520,-2146274303,158646498,1967192704,-352144888,-352210425,-117394941,-1963160893,-469105050,-524287116,-1895430140,-1008236032,1720384650,1961101830,81838083,102813942,-410386289,-1598016573,1720320143,1961101830,82362371,-1023406299,-1974316208,115916996,-301729862,-1979675744,-1061149480,-1007287064,201487361,-1058766847,646504458,1532625035,48808792,-386173707,-1007895336,1978988776,-1127290629,-1007761526,-2044949722,-1251077,-404161658,-397360129,1253513658,-1962943000,-406845570,108923394,-385887768,292887183,-1090517063,-1175977918,1191545087,115931362,1093044224,-1597810688,-1062731710,145237876,-2135686028,646586859,-990511037,-805014480,-166401044,74712004,200000766,1954596086,-352013310,-1023364094,-1912586053,9485275,1972584320,13101315,-1071380598,168224960,-28216128,-1289456184,-1272466171,-1273770752,14674036,-1325135432,-841862399,-385650157,-58720124,168064260,-1266977344,-1273770752,12576919,-1205287552,28378121,332255795,-58702221,168064260,-29526592,-2139392821,-1209325075,-315488845,332202164,-1830283340,67221504,-768405327,477303757,332202164,2129139124,67221504,-768405583,645075917,1182059518,-789854722,-2147446597,192190271,1927808180,-1589855744,-1265609237,6809652,-341758022,45387850,-1157604120,1065353360,-1173982092,938189077,-1593263472,-1265618453,4450305,-341771334,-823619546,-400329219,-266011179,1006954688,-1594115583,-922873484,1956710586,-1161232886,57975074,-392086342,1405288579,939561147,-2012580825,-29824985,9375360,-389850362,1752563089,-1057122072,-533068568,-58699660,1007187252,1011315715,-1337756668,-557520845,-64748532,-527776758,-1125633104,-39786274,947200168,-863969142,-401690592,12246699,-1172391136,-402630215,29225115,216000512,281874356,281870516,-2065252944,867176171,2145968266,-2030361378,-562173756,-1031057213,-1030827469,-1426032449,1487653004,102654147,-1475370993,-2065276752,-1910767432,4242392,-1943616626,637561110,6760073,6555335,1638924288,-639073050,-2130086743,268461070,56748288,-1330698008,-947591582,-2147449338,-2012821760,-402653184,-2128172802,872444478,-1592822510,-2036137860,8298752,-385840989,1459356158,-1945756073,-1144811813,-611450832,-1081930562,196673683,128316160,-1335992545,-393943453,125020800,-2065275728,-2121265173,-2147453378,-2129235200,-2147458034,2082376448,1981712640,2115930880,2015267072,-1391073280,195917544,-385649472,512426478,-343867274,512295040,512426106,-343867268,512295040,-1868562304,9413120,113640116,-402587502,512426745,-1014955894,512295040,-1073020794,243339892,65636,6696584,6755977,6885000,-2065275472,7872139,8003209,8265355,8396425,8793739,8439169,-1577021024,280232079,9569990,44820481,9051787,8920713,309641227,6557313,780664834,378077294,243794031,-2002714511,67110144,725582011,989891870,-1959169085,50366510,-2130672082,-1593802555,-2103246707,-1895381504,646643456,113639564,-402587502,-1073020207,243339892,131172,7220872,7280265,7409288,4241414,-2135048050,-389707008,-1123571681,113639552,-1342111598,-402606850,44630885,-2129497088,1140876302,1781434368,1796638976,1829668864,8823040,-150732613,973254883,-1977518910,-1845049630,921174272,174339,243339892,262244,6958728,7018121,7147144,184584353,86537408,-470350848,-494268240,9569990,50849793,1946157737,1678672146,-2013263872,-1996459474,-2013236458,-1593805554,327816,1065401092,9248299,611566395,-1275032416,-1845049602,-756547328,174338,243339892,524388,7483016,7542409,7671432,-2065275216,8789643,320768294,-2011264256,-1968132096,-604903197,-410340944,-1310987544,1678178048,1946189824,-402542334,1739630758,1048675558,41943174,-1280307598,215729640,-1327461760,-608048973,116851380,-65436,62128756,-1326936144,-429346597,-1335827324,-396040672,1692668552,-93060696,-527802140,-1341862784,1348789856,1477604328,1625736330,-1340970008,-194713858,1773207019,12289254,-1878463744,-2065274192,-1207959109,-661782464,6887054,6760075,-308615085,1977289563,10021123,-2065273936,-1910767432,1678178264,1946157312,-310450154,243985714,-242548634,6885002,6755979,-139980056,67134470,-401181696,-315429536,6950538,243986827,378208365,166199403,1678178216,1946157568,-314382314,243985714,-242548626,7409290,7280267,-139995416,134243334,-401181696,-315429596,7474826,243986827,378208373,-840433549,1678178215,1946161152,-318314481,-1157627718,448378508,-323360768,6555383,410320895,-135467032,1073767430,-385649664,1642397477,74760360,-2065271632,-1326069016,260367980,127995817,1405313311,1840306314,-1014332186,1857083530,-1014332186,8396427,8003129,243345014,8388708,8003211,8527497,-1962914584,956335134,1929412638,-2145481980,-1977710336,-1875842304,243341428,8388708,8527497,-1962923800,-1996454882,-352286178,-1336897514,1485104751,8527497,-1962929944,-1996454882,-134182370,24428555,1405311993,1890584151,646481126,-997588916,-125049806,-2147483461,16814654,1085803125,-1950315008,-1521620795,8535683,-1207143168,113704960,132,-1342142743,-1199249807,-1064435640,1431787091,939560864,1996508166,-776673275,-169344021,1583308208,-1979026597,-1207940050,1441464321,1086555024,1397839868,4988554,855640249,-775932929,7643,-1963531605,-1207940066,-1007288320,-1207733246,1537933569,1048600409,1962999954,4241420,-980696946,-857160957,-2111948380,-1207535872,166395904,1275494544,2129199360,-2078373377,1940934656,123241702,113466207,-1336913065,1485104754,1342196898,-1912584005,571843,-13379446,-607010765,-1358954467,-186500235,-469399002,1958783073,868233734,1194847231,-469398746,1958783073,-1077923321,652935169,9584256,-1206946559,-1064435648,1074120075,-387413248,-346512305,642731816,108332338,624043591,-970537846,-930480123,4992650,-2065269584,-1547334824,-678756220,-352320840,985726481,-385648928,-12714118,-1191676928,1599799296,216580871,-1511458289,242613221,-124779848,-386263603,-1862539880,909899892,74776706,8402571,1717897,-454507525,2112420366,-1597768731,-2134704105,594804988,1977617725,470661125,792533483,-1207601696,267072815,2005204096,1961901071,1977629707,-1107251198,49020927,-158992845,16548035,-264501644,11534965,512381891,-1014366184,-478121180,98811908,646628106,-461373290,-1595930100,-1017446377,1534395708,1996750720,536576086,-397323913,-76214556,9905792,250276079,1625748400,-150995015,268474118,-136180875,-1341204504,-345970956,-1759084508,-907481344,-1060664818,-1022753312,-4628250,-1761151233,158666752,-1310132254,-420171762,-1759084448,-1017528576,473336826,1175226624,-2110375098,-1962642176,989888566,1946163766,473336073,-121622016,28312555,1355021305,1601439804,1735657788,376815748,-1088125212,-1071349748,-570029522,780592743,1742612106,-922849557,-2031872395,-2146648284,170836004,-429400826,646590086,1424713693,209045758,2133100260,-2031730676,1156251828,1333119230,11831012,91504808,-461315958,-431999937,-466752634,209659014,-1266227520,-2094929152,728891897,1999829379,3323942,1077985579,-2031820662,-2146648284,-1005928412,15435494,-419786064,16547915,-997587852,1492863718,-1467554621,-1475840704,-1274776192,-1473385720,-1272875712,775889920,1742603834,28581492,-586794450,840266855,3324388,1094830123,149621172,-2136471372,45351541,-466434934,346286275,141885364,547881140,28574324,-466434934,1012988867,-385649150,-326958838,-1930654920,-1899983152,872254424,3717568,-175396109,638614669,-64057,122013222,1170613888,-970588154,647103813,148935,1170613760,2089664516,96937496,-970522625,637536069,411078,88458790,-1143960430,-470351856,-763312893,3671296,637588096,637683081,855922056,13822171,-1796668557,947686656,604342822,1950366912,1179043335,8513792,-402652485,2037514420,172377738,-1923255104,-561311620,-401050483,-208994194,788521151,-147964533,-1928396795,-14272388,637957173,-335608378,96871940,-388287492,2089615469,93267512,309643518,-1088061402,-402652485,762445913,38160070,-2144983061,45826061,4712448,1187388274,367722822,641236109,-478143094,-972655552,-352238010,1179043332,952402690,-1008552863,-13238276,1979646581,108396292,-218102599,149848997,-1895239805,1150223940,38047492,-1916599153,-1993992068,28901981,-846744576,2089665301,1569269264,112898,365791156,-61],1048566,[1430346987,1380927572,1094918227,1194539330,859390540,961763154,1128940595,1347302201,692267074,2037411651,1751607666,1329799284,1363234893,1836008224,1702131056,1866670194,1919905906,1869182049,959520878,942420536,876096563,741685292,-382978504,837474889,686817422,692273960,1866679081,2037411951,1769108089,1751607145,544502888,1329808160,1347243343,1363231056,1126178897,1836019523,1970303085,1702130805,544371301,1866679072,1886548591,1919905648,1952538994,1869179252,544108143,959525152,842545209,942418994,741552952,876099628,942418996,741684536,909654060,942418998,758593336,1816215853,543976556,1769108000,1751607145,1937011816,1914708083,1936024946,1919247731,1702262386,778331237,-435310546,-434982780,-1172131765,-1276247992,1894400,1273369264,-2065297744,1273402032,1253712560,-2135691776,-1342175768,-1018435950,-1979645767,-330570045,1038934154,410320930,-1833897502,313543654,-1933882394,1620406,-371107139,-18094435,-61,-1,-1,1358954495,1084776932,-816315787,-2048523856,-2065296976,-427773700,-419450768,-392042975,1642332420,-527702990,-337537347,-24407983,41077899,-930298370,-1064380274,-1912590152,16825552,-390642754,-310116144,1404962932,13035703,-91805717,-754973511,178666,-1962892568,65176023,309504,-1342138648,-854674400,-1177406704,-1998061566,-175377408,-13369421,-371068227,-292837980,-661733325,126606131,1642334089,1642465292,-4983413,280887091,-1517884958,1642393227,1642526500,1084776932,-523404,4241637,1049352334,-406780909,47878,-1908408135,-1376557349,1084776932,-1014952843,-549777408,-1070339466,-208935425,-13380213,-371042627,-359946866,856679296,-804998702,1107653595,-768345630,283508729,653758976,76735083,1983462448,-1274608638,-502215410,179094508,-1274645312,-351220466,803783669,237466896,-1900006625,4243392,-1418648415,-1418647903,-1593803585,-1582599896,-1079283414,748749068,782347121,129739633,243712,-356314931,-268377749,2011696816,-1327461678,-764352492,57999784,-1977561984,1958783172,536918547,-1179082565,1491599446,302940388,1122762496,292823208,-1155530566,1455012000,-465442816,1183360,268891903,292880640,-1155530566,465156342,-467015680,1183360,1947248895,536918545,-1179053637,350748696,302940388,1625620224,1692844208,-385876039,1692708440,125043368,669775330,-385876039,1692708424,74777000,401339874,-2136448796,12194165,-1185170656,-402631239,243327959,872349714,-322508563,-392887950,-1070399443,1181194,115868532,302433792,1623392256,-1157627718,414824771,-475404288,1946500245,4974595,1181382,-87858944,-47963676,856039910,650153664,2367115,604423974,-68950528,-496506797,512304731,-1341718492,-1184569760,-1041694721,-1469782867,-503155710,-431640331,-464469152,-434065312,-1261479904,-2145989376,-143311876,-61,-1,67187455,8388608,0,285290752,67266304,8388608,0,285376000,100820736,8388608,0,285370112,134479872,33554432,0,285474560,100903936,33554432,0,285453056,84064512,8388608,0,285390848,134336000,16777216,9,285343488,84122880,8388608,0,285449216,251888640,-65536,2048,285442816,84136960,-65536,0,285463552,117677312,8388608,0,285449216,151231744,8388608,2048,285449216,134374400,16777216,0,285369088,67359744,8388608,0,285463552,0,0,0,0,67265536,0,0,285369344,84136960,8388608,0,285463552,84133376,8388608,0,285459968,184742400,-65536,2048,285405440,84073728,16777216,0,285400064,117628160,16777216,0,285400064,100869376,-65536,0,285418752,134454272,-65536,7,285449216,235128320,-65536,2055,285459968,268682752,-65536,2055,285459968,235142912,-65536,2055,285474560,168019456,-65536,2055,285459968,268626944,-65536,2055,285404160,100869376,-65536,0,436413696,67266304,8388608,0,419587840,134375168,8388608,0,419587840,151226624,8388608,2055,419662080,134409216,-65536,7,570616832,117687808,-65536,7,570672640,134465024,-65536,7,570672640,151242240,-65536,2055,570672640,84133376,-65536,7,570672640,268591872,-65536,2055,1057121024,184811264,-65536,2055,553910016,251920128,-65536,2055,570687232,251920128,-65536,2055,553910016,268697344,-65536,2055,1057226496,67314944,-65536,0,436413696,33760512,-65536,0,436413696,134409216,-65536,7,553839616,100854784,-65536,7,553839616,84133376,8388608,0,419677696,200015616,-67106672,7340033,-2097152000,-50657596,-2065297488,-2048524112,-386938950,-628166725,-2065253968,1358955449,332202164,-1183055685,28835841,1494469890,208814707,-1,-1,-561714689,-1146036766,-92240666,-1339591552,-839325682,511000744,1086053004,-1965322752,-1912572626,1961691866,1963501581,-423972855,8436356,416130795,1971372790,-941075682,-2065409043,-1804288708,163121035,-201618688,-1105300049,1072206685,-1325470976,-387937741,-81474134,-1461140346,-21003827,1974097153,-1467554619,-1475840640,-1341885120,-1337203054,-360388932,31744,-83442557,-393014082,11796486,432871117,1017917180,-402295772,-169091079,-1104335677,-1959854112,76230196,1947140265,-1877218557,-2134842240,309608700,772475624,1742538438,113651234,-400267298,-1950151936,2210291,1973941094,-210417140,-930352245,1957163878,82805511,-117117309,-6657,-50593793,-1957341666,4243180,-461054322,1441270645,-192419596,-1276512140,1976368640,172917033,1719730752,-385876470,58061924,-402612759,91616361,-336318488,174490094,1317142463,-385875702,-855768954,1256719733,-25302028,-402295348,1961620642,41274622,-855740693,-202898059,-2140804108,141888508,-386664472,1491858523,1963785344,172917022,1719730752,-385876470,1148515336,-2114698520,-4257178,17452673,-2143950080,91557372,-336315672,-335773653,-689437323,-2145260556,91614460,-336236824,-302219241,-1528298123,-2146571275,91615228,-336220440,233603075,-820027811,1085820958,-1193767424,-1595474165,-1065049884,-527823756,-1005936156,-1595498010,196089579,551821542,208978052,78176394,568591989,568771594,1962933376,-434065404,1797687328,-820029440,7911761,-402393926,-1460885428,-502893184,149682678,-1472272240,1084769004,-15527,1926651112,-727390190,-1192751758,-402099497,57858066,-1008166168,-1342001176,-396040531,-54328664,-1157226912,-611450816,9832182,-467962752,1974156384,-1777434614,645939200,-1333854058,-81730016,-369098819,116785453,1950351510,1012982849,-2132249279,-1090480602,9834112,386826256,-1336926208,-881793010,242565288,1743269040,1967171787,388399109,-1336353024,-81730016,-2147371288,-553609690,-369098819,398393573,-8591360,1625610378,-850414343,48405,548407410,-369418010,-527826743,1967537232,403109397,242550784,1943454440,548469257,-369418010,548405410,-2131025690,125165820,9834112,-2145654014,125166076,9834112,-2146440447,175439612,1979382912,-1760657399,-346550272,-1310158722,403109376,1702103040,-58133,-1,-1,-1,-1,1913047039,-384683008,-58657327,-2147126188,125162748,1509110,-2143914744,477382396,1967520896,-1777928697,678756608,1926455784,1392279587,-461103500,250288760,1509110,-166824696,67114758,645924724,-336134120,-24057853,354846808,1042432,-2063546648,1629423597,-386268043,1355743266,9840256,-1777928451,309592320,-2139102080,91506172,1948122240,-1775861755,-1017577984,18802768,1692839600,379634520,-684660736,-58714252,-33262258,-2146964544,158681852,679004414,-352315742,354826787,-2143128576,91499260,1966537856,-1777928697,829751808,1964899456,-1777928697,628424960,561570948,504027955,427032598,1348592720,1642527780,201330664,-396237310,1967849480,1642485999,1397801816,1139146928,-662028060,-125157148,1139146928,-527810332,-528072476,-2116539565,1526799867,1482418806,396382403,82362368,646580004,-461373289,1959016967,-1759084532,101251072,48758935,1354979328,5433425,645942645,-386989929,-307232680,-4628250,-1761151233,192221184,1172895714,-420171776,-2144867488,-285173978,-1610598424,-390070249,-2147015676,-134179034,9897480,-4628250,-1761151233,41226240,645986274,1505689751,-95370408,201365408,-1761180096,-79648768,-1185823912,1692673808,-85982552,-15527,889192447,-1060551223,-1058225940,-1494359572,1223468780,2089903007,948965519,508951456,1381390086,-1957670063,-1900006420,2016855256,4241408,113694862,-2113994688,16651878,-1979627894,-58718618,1008431874,1008432920,1007056392,739471893,853051916,786682367,-331376641,20711403,1072230262,1552557799,1075742722,374243584,1532690944,1600019033,-815980793,1973608936,-1550194673,602409586,-2130349056,71246,-435769149,180367882,-1190300444,28442628,-499457328,58063584,-1008931096,33652352,1183524981,1096460,1174660087,13796098,1930361472,8292881,-617414910,-763116797,251297792,1187382386,1048577025,1946157121,1094615054,125044992,182244584,858289636,4623040,55347750,-754941766,1222834146,115918987,1942160349,21400081,175441064,1317079476,-352321258,1005097082,846492929,22973183,-1959861295,-420490873,-352145397,-1978997248,-414652164,-1965229592,1072170878,75401959,-2081998360,1072169926,-2142877977,1963262334,-415963131,-1952441621,605796096,-1224182592,1967171619,-399853822,2089477906,-418584575,-402264445,393544135,-1090517063,-152567742,-386173733,-1997757492,-220051707,-1998112536,-402636506,-469041417,1448156867,1096188,-661733325,1449045235,-1207955271,-661778432,1499376883,-1583028193,-1947703691,-165180765,225775812,1971846272,65830915,-2011970432,-428546009,199641776,-385876039,78699561,1727456306,1942160128,-351685628,6613038,45100661,1303841510,-1964604952,-406845570,108923394,-2082048536,2078802886,80118758,-2082048536,1525155822,-2129758977,71246,4269704,184444648,-504839196,6601178,1960527080,-1258692090,-401020032,129016596,108956398,-387566104,125108467,-1476339480,-1014975296,1317667248,-2065640954,1962950150,1040582683,-1562318848,280518,1962916840,1013982219,-394300048,2054553520,-388329496,663397062,-167426422,41164996,1334501584,988033540,-2007010111,-1152187321,1340604420,-1208329257,-439031793,-1073250678,2114585319,-439818234,-1969057304,-1075313537,2095643621,859010304,1552557787,21400073,74711868,343213372,-1572607917,-2146127781,41222908,-667283536,-1014627725,57989899,-388562456,-1062731723,717439156,707406378,707406378,707406378,707406378,707406378,1344940586,4241438,243325070,-1333788610,-1205803488,365793537,-1211148257,-447682552,-352320839,4366851,-488293400,4366584,28899523,1930808720,1040643595,460619776,485221426,-1191181125,-1070383863,4065014,-401771136,-186474000,-387156661,-2135631279,4073088,-1008465281,707406378,707406378,-550884822,251798786,-162201829,367593487,1256605337,-1209646395,-454760445,-1008407064,-1,-1,-1,-1,-1,-1,-1],1048567,[-1,-1,-1,-1,-1,-1,-1,-1,-1,352092415,-58718350,-1271695937,-326370284,-1912586050,269912798,820150272,-2135424834,58011898,-1951399746,-1912577258,-1950054714,-2117826832,-788463642,-1795215642,-1947625530,503774119,1398167381,-347057583,-76,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,170731576,471402015,117835522,0,173690993,471402015,117835522,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,170731576,471402015,117835522,0,173690993,421070361,202050818,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,0,0,0,1342578261,1448235347,-421482409,-907477884,47873,-1897922376,-1437222696,1595,-315467147,134794,-1106648639,1340604416,-1958120191,1223459801,-796070773,-41172850,1220132915,-1951730944,276598261,71681574,96937486,-970522625,-1919285947,-970581892,654181445,-64057,88458790,-1954040686,-840314421,1220838165,-2065243728,-2065243472,-1900019528,-1437222696,1595,-1557643,842429696,34507501,165789952,1006632888,723940568,1925266371,264471328,-990335,738197432,1925266371,48656,1962983912,-387329784,333971618,17426432,-402623256,1583284457,1482381658,-1017307385,16115742,-1912602440,-1899459392,4243416,-1559917786,-947687132,93005314,-1049549149,-1014954773,-1993940992,8175389,-1559917786,-947687128,93005314,644950691,213851529,93005313,-2089735005,-1960443193,1898881797,-1340241626,528803555,243985714,-507445246,82034953,-2084316925,527696123,-3964597,14909711,216777200,721424568,-268387901,-524303986,1032529663,-1023047642,855665384,-536823562,-74727282,243985714,-507445246,-1012534520,861032784,-805131054,-763036702,-1017620134,1465255454,-1073694383,-315440754,34507302,165789952,-1961432701,-1899393799,-533807399,-218102855,1583307175,1405296391,1348926643,-90438059,-54657229,-1801786894,1717372829,-466461864,-21802045,-1286347541,-387978241,-4980699,203690100,205259188,45353076,41223336,-997588812,1355015218,-117511942,1692836784,-87860997,-1325861912,-463149395,1946265700,-345971708,-119346954,1692837296,1375263720,-467201863,-519985052,41179642,-1672453916,-1325873176,241493678,-352320536,1489997826,-15365,16777216,33554432,67108864,134217728,268435456,536870912,1073741824,-2147483648,65536,131072,262144,524288,1048576,2097152,4194304,8388608,256,512,1024,2048,4096,8192,16384,32768,1,2,4,8,16,32,64,128,0,-16777217,-33554433,-67108865,-134217729,-268435457,-536870913,-1073741825,2147483647,-65537,-131073,-262145,-524289,-1048577,-2097153,-4194305,-8388609,-257,-513,-1025,-2049,-4097,-8193,-16385,-32769,-2,-3,-5,-9,-17,-33,-65,-129,-1,-2065269328,788521150,-147966837,1947140100,32565507,-2132410192,369168174,537855870,68864,-369090033,2684076,-1912600392,-1973295912,-435680032,41057,1642520710,-2134842240,57950460,-2147382551,1073742350,-1912588104,536918464,-211356109,-1174622938,-13426688,-1431652250,-211375446,-661952853,-1912588104,-1175047208,-1385816064,1958951782,9824515,-352160695,536918513,-1201209549,1840672182,1722544998,951638155,869830144,536918518,996584806,1231975875,-185925004,857735353,1438148351,1716868437,-1956205581,3717336,-164374386,1713373369,-1019517267,1950959477,-1191908606,-661782480,-1192003397,2092564484,-1107348736,552203629,8174081,-369789251,-13434601,-1124041542,-1964378751,-1172933902,-1933770628,-226498059,-75429006,208991228,-336331589,-436096826,10217856,-1912600392,645932736,-1195442174,-1064435648,-1157626696,2092626808,-1107348736,-857082431,8174080,-369767747,146276547,-1899918336,243279552,-1908408318,309441,855669946,-169361921,1928471785,8174256,-369757507,-1519193575,-1157626696,2092626940,-1107348736,-1997933051,8174080,-369750339,146276479,-1899918336,645932736,-1900085246,309441,855669946,-164905473,1928454377,8174091,-369740099,57930197,-1191223575,-661782520,140928,444095,-2132476928,91553852,134784,1095744,-661733234,1711284239,-475,2232191,16149994,17772272,-469269474,1946172544,-1177406709,-793051117,-792598346,-2065269072,-2132361166,-1175221309,-211419103,-176862555,-930352245,-5901466,862330597,28862189,1711276032,12174643,-1627442368,1724961126,-453385557,-435418015,-420273055,29058657,1711276032,-1956192973,857671365,-1175155978,-427147264,-741251426,1727302303,-1020041555,343273697,1084776932,47206,141885440,-1451602586,-1010814177,1342178502,202138084,-215719450,1717068262,427147275,-2037398296,266633440,78771763,91479248,872014406,-339725578,82739985,-1476393799,1711764991,1174988993,-930417182,-115353973,253649091,-1331687512,-1199249803,-661782464,6760073,6887052,-1342177095,1367664246,1502182376,-914356620,9496833,-2065270864,1507537745,108321547,-352138880,-1047883775,112492774,41208074,2024802228,-464485146,-434065312,-191698844,27813092,1625619060,-863969142,-2115481596,1622169844,-397384474,-1973881736,1482745540,-1998024784,-194320195,1692860080,-1325536268,-125507975,-1332738325,-108730758,-1912586056,1763086040,1730579200,-352095744,-2132504535,-1040791414,-1173523454,-1933901824,1751478,-187742488,1946272246,47629,-1179218757,887619610,2075194575,-1592818458,1629464847,47299,821566927,8781824,-256,-1,-1,-1,-1,-1,-1205928961,-661782464,520098721,-1506613041,707406543,707406378,2147254314,-58700682,-2145946432,1114870524,-2114417833,-1048641305,-13760529,-336034667,-1084780537,-336883200,182879,-121308990,-1587939130,-121069095,-1563188594,-1532189539,-121702210,-121702210,-121702210,-120784694,-58677880,-117148337,-83885366,-889616716,855310338,1600111588,-152311573,-219417365,-286527253,-466460833,536932815,554180881,553722116,-1592680193,-1593663120,-1778409215,-893741638,567923929,-872802310,-738733065,167772407,1018,992,-436162360,-436162428,-1643989883,-1001222,-1192230641,-661782464,78144740,-359767435,-2065301072,1692838576,-452984903,1963042916,-336010747,45125693,1625588966,-2065300560,-2065300304,-1897922376,-2116340776,1968548415,-109658872,-47251666,-435834632,-939476860,-617359218,1437220737,1992099957,788475641,112261377,1085834470,-1193767424,250281984,-2065299536,1894158256,15401195,-661949980,1894158256,15401195,1910898864,1963588480,-1433081597,-2065299280,1963654016,-1873286397,-236535758,-1896873800,-1093520424,196737233,-796218368,-102568276,-1191141190,196083720,-1073025810,548406644,-2081168658,91496698,-352313158,-436162330,-1331632608,-2138774007,41290747,-13500237,-1959861296,-1191647305,-661782464,179365631,1085834470,-2585088,-1342150866,-1333467637,-350165472,-435375895,610395268,-1335761165,-848239090,-231,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,65535,0,-2122448896,-1715633755,-8487295,-406585381,-26444033,947715838,940572688,947715708,2084044816,2097086008,269515832,2097052728,31800,406600728,-65536,-406600729,1006698495,1715618406,-1006698436,-1715618407,118489027,-859013873,1715239116,406611558,859773054,1882206271,1669325040,1734566783,1520025830,1021830972,-528443046,-520552712,235012224,239009342,1008205826,2115508350,1717966908,6710886,-612433818,454786011,1665007643,946629688,30924,2122186752,1008205950,1014896766,1008271128,404232318,404226072,1014896664,402653208,403504652,805306368,811662944,0,-20922176,603979776,610729830,402653184,-33220,-16777216,406617855,0,0,2016411648,3158136,1819017264,108,1819017216,1828613374,2083520620,-133400384,-973078480,1714428108,1815609542,-857967048,1616904310,192,806879232,811622496,811597848,806885400,1711276128,1715273532,805306368,808516656,0,805306368,24624,64512,0,805306368,201719856,-1067438056,-964951936,-420028722,1882194044,808464432,-864550660,-866109428,-864550660,-871614452,1008468088,218025068,-1057226722,-871625480,1614282872,-858982208,-855900040,808458252,-864550864,-859014964,-864550792,403471564,805306480,805306416,805306416,805306416,806903856,811647072,24,-67108612,811597824,806882328,-864550816,3151884,-964952016,-1059135778,2016411768,-855847732,1727791308,1717992550,1715208444,1723908288,1828192316,1818650214,1660813560,1651013736,1660813566,1617459304,1715208432,1724825792,-859045826,-858981172,813170892,808464432,203292792,-859042804,1726349432,1718384748,1626341606,1717723232,-289013506,-958988546,-423231290,-959521034,1815609542,1824966342,1727791160,1616936038,-864550672,2027736268,1727791132,1718385766,-864550682,-870551328,-1258553224,808464432,-859045768,-858993460,-859045636,2026687692,-960102352,-285288762,-960102202,1815623788,-859045690,808483020,-956432264,1714559116,1618477310,1616928864,1623195768,101455920,410517506,404232216,940572792,50796,0,0,808517376,24,0,-864285576,1625292918,1717992544,220,-859779976,203161720,-859014132,118,-1057174408,1815609464,1616965728,240,2093796470,1625356300,1717991020,3145958,808464496,786552,-871625716,1625323724,1819831398,812646630,808464432,120,-687931700,198,-858993416,204,-858993544,120,2087085788,61536,2093796470,7692,1617327836,240,209240188,806355192,875573372,24,-858993460,118,2026687692,48,-16853306,108,1815637190,198,2093796556,63500,1680906492,807141628,808509488,404226076,404226072,819986456,808459312,-596246304,0,268435456,-960074696,1408958718,-13443958,523137,-472840329,-2052587730,1541681918,-644039217,496825500,1922912413,-241325411,645988253,-839909313,-434065380,525883936,1380982479,-1912586056,1812398040,-16485120,-2097123834,402681406,-1330113675,1812343552,-1559595776,1856176236,1889681408,4235264,527826748,4130550,-468159481,1954588806,1950394386,-432069618,-426594170,-576704949,-28645785,1962950670,-1173573474,-152173582,117456646,-2031842188,-2039119704,-2106244952,-2031697908,1273402032,-34839,-369098753,-5670,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-805306369,-768401824,399311540,1954596086,4242258,28367758,16778886,1131675964,-1912870661,281874356,-1269699446,1494273283,-1261292718,-1273967358,-401552120,393383402,-717569282,-689377934,839676557,-2134442286,-546170370,445499624,45374153,-1996877619,520159246,-12447,0,196608,-1,-1,-1,-1,-1,-1,-1,-1623725569,2143190966,541733959,1329804080,1363234893,16319978,825237744,792212015,-1728301000],1048568,[-13436026,-1752439855,1451819088,1611565826,72255744,18119,246465280,-1964227858,263211744,-1007926546,105993040,-1912584008,-1258114624,-402542583,-2147155945,8168192,-38465359,149422512,8299264,1482381575,1431458755,-980627318,4984456,12305806,130491904,-953810944,-64953,-1960379140,-50529249,-75236100,113649152,1946157056,5021704,350994730,1278097552,422912,-352302058,5021895,-1057046230,-524164046,1532648710,1381061571,180049750,375040,855640255,-2131494958,129380546,9672073,-270381233,9682684,-1191182145,-1510801397,9682684,-1182793537,-1510801397,1499094623,1364443995,-396994734,146210840,12087475,-1094676964,-1984692224,-469101107,1499094878,509657947,469809158,-1064380274,-1077922820,79233024,-1096027392,12058632,1096476,386039,13795328,-2013117303,1153827924,80187909,280887391,-268388352,-150990661,-132053533,-1996434816,1418199620,88393220,117753746,3194368,-1699493748,-1107268376,12058648,-393039076,549322849,4241408,1458082483,2670080,-1833709428,-1107276568,12058688,-393038928,1220411457,536918016,921211571,5291520,-1279262536,2877586,5506758,1460061888,1488879616,-268388352,384340659,-1899459584,-132006184,-1191138881,-784269305,128316393,-943496929,-1962934524,81838588,-1996165184,2089288260,89950212,410823,-1336884480,861464718,57983144,-1340085255,860678294,-1783570294,-1556920856,-1733296010,-1976353304,-392711968,2023961398,-1017579520,-393301936,-527813846,168873088,-2147256887,-1901006876,1479745256,-739748157,585653060,47616,-1179212101,82313233,-396967099,-396671810,12189709,-1229473024,-402646599,-1581038353,-1071382432,57950268,-1107262231,-75450618,-2139917058,1853161467,1786043146,-997584713,54264612,37513588,1085735540,1450368826,-2135485506,-997584697,-390067164,1946369026,1946303566,818380803,980606778,-2135482946,-997584697,-390057948,1946369028,1946303538,818380803,510844730,-2135480386,-997584697,-390021084,1946369030,1946303510,818380805,-549845900,-1944188557,-388460856,-1021354084,-1899459554,-2147434792,12182578,-536695680,242547682,-1152384838,263829338,1144907776,-1021313301,120588080,120588080,119539504,121767755,122619680,646580043,1720189001,1008648961,106788611,-1274577270,10741763,39226194,-1696070988,72256256,1988835043,273058572,-1392715634,-2147066229,1979777150,1946631187,1946696719,1946827787,1947024391,-1817406717,-1202708911,-661782464,1960024,-740140769,2122975066,4650503,-1274710783,5236738,1227262495,23496704,1946631363,1946696763,1946827831,1947024435,112943,786958772,-402410496,-1023541207,4855354,-768469899,-25114882,-32803559,-1274367794,1042446,45404722,-1023407896,48762548,1358490368,12256851,-1144812032,-930348990,117913894,57956443,-1664937779,1819142158,-65073469,-2065260368,-1341918534,-1582240256,1690010854,1109977088,-1326576464,-1148918110,468189284,-2069905854,-402651969,1416759655,-222683984,-1548685821,-315390746,1913214696,32815939,-398329368,946997579,-402627399,812803322,745863649,-334673944,58048680,-2127303700,1946157557,1970289685,1692198929,770183794,-1564546035,245636,-1515143445,82543846,-2065259344,-1179111493,12189728,1119479808,-1498413845,568624358,568770340,-756678480,63165670,459487,5289992,-958886370,-16777210,-1928935649,-973078528,-100627450,-5121229,-13373259,1276020742,4765696,-953761650,637534213,-16628281,654114047,-50592373,201129212,92874432,-1040317324,-1014821909,1959606848,-339083772,-2132049460,-1995934208,-2013229794,117476366,-939608893,-2147450362,-1895381504,113704704,-1124007790,317194368,-2134539946,1958742784,1714325522,1729530112,1762560000,1678672128,-1023393536,-2065268816,5244615,113770495,82,5506758,1426507279,113676800,-973078442,22278,4720327,113770495,74,4982470,1292289791,113742336,78,1354243590,-1193767424,-1064435640,-13371853,-62914375,-1146752154,1066139616,-1946164549,113712951,-65456,5375687,113639424,-960495532,-1845471994,5637830,1460061696,512458752,-1205993331,-661782448,206594532,-1604196856,113639424,620691456,1166550768,1642485761,268813862,1894166960,-527797788,1894166704,356836,1065400580,-1053045973,-617414030,637985729,637689225,-1258005111,-1043778818,-1993997087,-24443315,-2010716020,1166550565,2147465473,847249598,-1406731036,-85794814,-989932298,-970684378,-67108858,-389871841,1621295257,-1144485120,-1040842112,-1156877280,-1040842240,-1157401584,12058880,-18614524,-1877571382,616663552,1950366912,67156767,1967178230,134265611,1971372534,671136515,-150732616,-1999962397,-1023373034,11795850,-1979710279,49266887,37487396,-1015020171,1007151873,-2147126015,-404618045,5290014,44095630,183510016,172739,-1545326049,-620101534,28508789,12123954,-1142687996,-470350848,378063614,-943521647,-16756730,1376176127,-973078528,-1073720314,5572294,1443284626,113639424,511705175,5290067,1642387598,135061642,-2065276442,7819,1734,-58398977,-50529028,-50529028,-50529028,-2030240516,-1956518176,-1021355069,0,0,65535,-2147446080,65535,37376,65535,39439,65535,-1073704448,65535,39679,65535,37631,65535,37390,65535,37629,120586311,4653071,16713520,65535,-2018902016,-2013790184,-2010644456,254672920,125310465,218112015,571408385,788475392,146311050,-1329558016,495461935,-50559770,-50529028,-50529028,-50529028,280558844,264277504,627441696,2147483646,-369090033,-268400676,503385902,-436271228,369168174,537855864,68864,771760655,-2020724993,-1912600392,-1973295936,-435680032,650414689,-970580598,-16777210,-1293196826,369168174,537888632,68864,771760655,-2020462849,-1912594248,-423579432,-18076,-1469782790,-502959102,9497080,-452984903,1963042916,-369565179,1625555074,2088044712,444262,192,1711336376,-339476319,2450944,1962934400,1711336205,-1073740089,369098752,15406827,444262,192,1711336278,-1073740089,-1744830464,-949616405,12582918,-345767936,113731072,49152,15441920,444262,192,1711336240,-1073740089,67043328,1894167472,-528059932,1894167472,537707654,317420006,1894167472,-528059932,1894167472,-551238522,280523238,-371683840,1409023708,508973649,-1912586053,65176027,-1963816192,-788498276,143952870,1959922432,-461090697,-855766156,-855750284,-346530956,-347935129,-335484160,679016484,-1862354864,1477823992,616108402,140962036,2029528300,-17374701,-336628277,-335484160,75036708,770375948,472181826,15401228,619577579,1108339484,-351752126,96202240,1020323840,15401996,1257111787,15417930,619446507,-1974979336,-410363656,1499094559,1043255131,912614438,-1381651712,1869459367,864689408,-1853193334,-460663158,1368062602,1357679445,503730771,551947184,547889380,-315468427,-661731188,-1962522994,-1977220002,-218529777,-109050508,1124627955,-1258139905,-1947473151,-2034303786,3976329,-1053161100,-1958480011,-1093145614,-561280627,1946172588,1975597590,138841079,721740928,-422490381,-1785397458,520809353,1482381831,-1142335139,1510416145,1499289691,-2131588145,57999869,-2147332353,74711292,48975695,-1950136505,1979137010,33390624,1325336181,38731522,1946221696,1313820424,-347189682,1179076401,-347716026,-97495,-58716811,1308914688,1176234830,-2145916090,57999869,-2147332353,108265724,1313754959,1195836651,-1950136762,16548082,1313735796,1178993387,1005751235,-2146077193,141820156,1330597711,837504590,1195853639,703284806,1979711107,16547857,1313736308,434851663,1195853382,-41937941,-16550655,-58719674,1325691904,1191373647,-225721529,1946221696,-347123964,-1018738942,-41880949,-16550655,-58719666,1325691904,1191373647,-225721529,1946221696,-347189756,-1018804734,1243515645,39226112,74634042,-889269366,1946273014,717915916,-154064139,-337971490,720710148,-20513071,41281730,1048584564,1912733769,1228832808,326566656,378229328,-1031602077,6660100,1525610276,-2146505896,67127614,1048577906,1963393097,736856956,-1736214,-1947873024,-154825992,65876707,65065409,-1761587706,-561068404,-470355829,16828151,-654900108,-523117065,177653507,974419136,705721286,-204829968,66388901,1976499965,-1963947276,-1977569049,61600714,1976499965,4241654,-454502258,-2145815551,33573182,1048580722,1996685385,1662421771,79856384,-301963872,1228832963,74712576,-489627184,1375752381,-980748149,-1164382926,-487128768,100909315,-1953038258,1085970672,-136120575,1946222790,-136775920,-255360547,1228832800,24380928,-1933114553,-1764061502,-544517286,812957706,745784890,-800002006,-1947807514,-1947169850,-204829957,-1947169884,16155131,16220448,-204830176,63243172,1976499933,-259368736,-422517040,-1950053800,-204829957,-2114221142,-1977614089,61535178,1976499933,1713292266,-1201214157,1,-1178258586,-13418496,-791583074,-102585498,202138084,-215719450,-1150918170,1,1725772646,520537483,12187187,-781803968,1185718227,-1020115386,594932705,-1062706716,460652720,1721633201,-2092510253,-630061826,1713353118,1721750483,530545229,-960249805,-464519164,-435418015,-420273055,-695510687,-389809889,-1977221070,584578565,-1998007609,-389873594,580386850,-790572349,638286332,646579504,1720189001,572965633,-1429796291,4793994,-1023318392,1452015411,1944768770,536919811,-489561391,-489561391,-489555453,-100408623,1048641207,1929773129,-791555836,-153122073,-774796333,-773139990,-2133723414,-942536735,-1329333757,321549,179312242,-2066599086,-1342016064,-855591904,29685271,1526268276,-812953661,6601041,1952165352,1509548550,-402002951,-290716680,-118889895,-2029586749,-3996672,9318890,508973296,-1912586056,243928,524677608,-1949345698,281248747,-1949069574,-1178497311,-888994784,1236914574,12581888,-1897218557,-1583010061,104530512,57999960,1023606946,175440215,-1207950145,-1934890617,1824500680,-1917470720,-1412920149,-1409330248,-1901344628,113518277,-1868365806,-1845064704,-594609408,50446163,-1274837574,-350106353,-1899416817,1377733593,1977320706,1501620618,779403274,-1274871110,-1205744375,567086081,1962950016,-16398835,108334396,567089588,1596211460,-596491972,604199330,59089423,-919358485,61214345,61345417,-1828272319,855769091,-611442990,567089844,59095583,567093172,-1948545506,-1962929130,520094734,-1169077934,666108805,37495245,-1860537000,-1960916949,-524123693,869961231,-853887790,-2051399903,-853036029,-854543327,4030497,985271412,-855002109,201898017,-980540979,-2135237234,-853888000,52001,1850280461,1953654131,1297040160,542196048,1143821133,1679840079,1701540713,224752756,1953383690,1679848037,1702259058,1701868320,1768319331,606106213,168626701,1852400978,1953654131,1936286752,1953785195,1852383333,1769104416,1092642166,543582496,1701012846,1918989171,1393167737,1802072692,1851859045,1701519481,1752637561,1914728037,2036621669,2361869,1230192962,538984771,4544581,-1471873304,-401247231,663355914,-398129688,-1070384696,-335284294,192184488,1317078708,-2013265642,-1023393498,-1471883544,839152897,-396301340,1534394314,-167650840,259264519,-58710134,-2147256937,-327154748,-401478893,-2018229193,141820732,71042996,1639187060,-1343740024,975169604,1342523018,33900230,-966873624,-402651834,-2007474522,112461126,-335284294],1048569,[41189544,646480052,1317077057,-1023409898,-1880555725,-167283457,1148551364,-466421621,1006651018,-1274449403,374243585,820707329,578076682,20747188,1957957748,292815420,54269364,-1749808268,28313579,-347858456,-402542587,937968639,-400062463,-947174350,19720387,669525898,281343556,31982453,468239104,-2012771839,1996423751,88508928,897001276,1967353064,1131669522,425600,-390069387,1007625220,-400657661,-269993627,-2006862848,1139337255,1187382960,1187382273,-397410048,1951947834,961013872,-1275014680,-400062462,112214986,67192518,16795334,1545398352,-397118376,-1276626647,-2004372480,1135405095,1187382448,1187382273,-397410048,1951947774,957081679,-1275030040,-400062367,112214926,67192518,16795334,1541466192,-2127268776,71246,-1979681304,663224935,-1975292440,-352304858,-400757972,393560773,-2143105816,1962935934,82362371,71044900,129238389,-402396032,-998227189,4253715,1005070216,38258243,4624128,1996472370,851680534,107383488,1912798336,-2130594807,71246,11803115,167777768,-1273990137,1964025857,605225986,1946364935,-1023233022,1586158387,-1866235642,-1672428800,-1975458566,-465509152,1019488832,-453609510,-1017602752,-1342048582,-152506720,-230823885,-2065258320,66370299,-33686036,-50463235,-1073082588,1458242420,233603984,-1070338933,918870158,1085800568,-958886400,-16760826,-969403160,-973076922,-402651322,1187381401,-1830289146,88524288,1553262592,-2065256528,-1341918534,645983756,-2081423297,-1280307772,602464394,-2030558173,-399265568,-1070390497,-930359157,9444874,-973208972,9518602,-973208972,208989450,-440349186,30244870,1060360,1104734458,963985576,-1975410456,82362592,168813696,-2045807397,9955548,-393017227,494141585,-1280307477,-941039478,-2046555102,583395524,-1975409176,550273248,-1192718672,-3933406,128976246,-1270755864,1106307219,-956371480,1187381255,-269996027,88524379,1541990408,199754935,108956226,-1186855448,-85415829,-503024330,-399250439,-1460863284,-2146732784,1946158462,89062950,129291243,2122318256,91553797,-348034328,-1332497401,1098180609,-1996580376,1100277799,-1879506453,1019413830,1007318016,-1341885183,-1341985901,-1008715257,1867385357,2035494254,1835365491,1936286752,1919885419,1936286752,1919230059,225603442,1885696522,1701011820,1684955424,1920234272,543517545,544829025,544826731,1852139639,1634038304,168655204,906628388,1143812656,1701540713,543519860,1953460034,1667584544,543453807,1869771333,604638578,-1191181637,-2135884312,1910796518,175505212,1951134946,-35079931,-436212501,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1726778197,-65121456,-2048523856,-1912316277,39750619,-75489397,-1341491728,-8067566,-1511456186,268140801,-1341361147,528803348,1566074459,-1341785623,-393943533,118381863,-1156341569,-611450752,1711284239,4389,101616512,-511613440,15,1723927398,-1070373205,1711282337,1745323,650029926,571648,-492083539,-266268677,554675046,1722509048,379699251,-1096063488,1722613788,1726516395,1725992107,309675,-492083539,6340347,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322778,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,5160619,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322772,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,12084907,1711313408,-1070373205,-524162932,-1196726780,-1419313153,47206,-1419378542,-1933560986,81838560,-4674714,-1096063233,862322760,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,4374187,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-1096063484,862322748,38046656,-1956205722,-14326268,1711341567,-1070373205,1711555723,3587755,-1950338202,-1419378108,1711573862,-219,1722508800,1150009395,-391420412,862346121,329302015,1528760079,-815966106,-1633050967,-1752459381,-1751345268,192349500,-259267534,-13703471,-1013485404,8857216,1977289455,-2029092859,-1007153152,1960512082,1662421778,79856384,201352608,6660616,-1961825298,-2097126634,1704985794,-1560861696,1525547109,-1500331016,-1396003714,-792428544,-1962301510,-1033008376,-1738237777,-1928615972,-781808389,-2094880769,-2094890206,-1753447638,1532582488,526212958,-12537,-1,-1,63498751,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-739639297,-253,-1,-1,62646783,1962230504,1228832816,175244288,4800128,-352095225,-1360490369,1662421802,113410816,-1460871030,-84183807,1946265836,-1429959941,-287114425,1228832963,124912640,4800128,-397314809,1202334337,-389808926,779416823,4800128,-2146995708,117459262,-477481358,-1960155928,-2097126634,-661977406,1963043052,-1460864261,-1946455039,-486822973,1048626159,1912864841,1228832775,141887232,921232266,-1012141270,-1976937752,1049232990,-896794551,1858001550,2042628858,-1898827000,2083964378,8332544,-523116335,-268181295,1946615680,283935587,106415243,-946940020,-125086895,-1258036352,145861640,-489561391,41148624,-906046710,-963972491,-22289782,1541830093,-1939929254,-1176990000,-192217084,2046546093,87238147,-20479573,-70210273,858129273,-276714747,-454942798,20901761,-2082966198,787157188,-779361398,79289995,-1393325312,58326224,-1442500058,536856449,2046611628,87172611,-1309703766,-2115706337,1241595887,-1195124619,-386086912,-2143485871,-1191676193,-661725184,1065474867,964012629,12187187,-670913152,-102573054,1085806708,-2133291520,-16772594,-1152384838,263829338,760342528,1085805547,515935744,62445710,-326414336,1476419327,4241496,-1899767666,-2116340776,1974097215,871773026,40864457,-779361839,-489160020,-1321306629,1391121156,-1912586056,-661774656,1342178232,861271179,486487789,208989451,4241438,243325070,536805394,-661890979,-611558881,-1019487741,-2143478666,-350522657,503734293,-1152384838,347715724,751691776,-1168046305,-661913472,516145667,-1073694714,1962944488,-947897081,-1070336394,516103943,-1073694714,1239120,1342665818,1273545355,-2143463424,133002951,-1896037601,-2116340776,1974097215,871772973,40864457,-779361839,-489160020,-1324780037,-1930767612,-1010695208,-1172437408,-1933881344,1358264,523001576,-2135269113,64523264,-1009634366,1085855886,515935744,1342178232,1593830539,-1021356032,210447953,976111174,-502959068,99350775,76164678,-3974663,-1288523493,-1221151308,766556600,1904806077,1953654135,1869182329,224222064,1685283327,1785227110,-1480889237,2052915168,1651925880,-1364431506,-13959249,555482912,623125312,673850974,137060137,436210447,477961083,674899725,729688354,876360572,960443710,959985440,909456429,858927403,863792,-2075560121,1951232843,1985049935,-1907716792,-1873899700,-1840082608,430931,520887815,488315674,472582684,-1756954614,-1723230136,-1655858357,-1605329073,-1571643055,-23725,-436096944,-435113851,602495108,-148571571,-301677949,-297607034,839248515,-289109276,-1396375998,-169719058,548988415,105352711,12189491,-1951665376,55020055,-1703954,-1,-1,-1,-369098753,-65398,-1,28313168,397444582,1085834470,-1329558016,-425662944,-423611872,116795120,1948254359,645932555,132055191,-821899944,1448302076,-326951343,653036304,9899648,7788832,105286555,-427691893,-390004721,140413700,-268377215,-661732597,-1409281863,-131800950,91543612,233567714,-14308208,140935431,1175058432,1725537032,281314048,1532909855,-816314531,-436096944,-434720635,-434065276,181229728,-1202708785,-661782464,-88067496,7341702,7212683,7083659,-1461116933,-1202708895,-661782464,1846446586,1813416192,1879492096,1492844544,1636690207,-1342170904,407431168,45150346,-1978121752,-402345784,-393603014,-1335790871,803797514,1954588696,-202638589,-1054525,-427163472,-1340595480,-387872254,78649371,350807434,-401887208,34347018,-31130844,41210500,-527826676,-51901520,1630660887,-1325417240,401401863,145805450,-1978145304,-402018064,-930474018,-672648528,-370636265,-1696046833,440575,-1340616984,-387806713,145758151,-1058478454,-1979076585,398059745,-1343747152,604113943,-1327461637,397010955,-443927888,-384326936,-1325768489,395634699,141828264,-1070375941,183033,-2081944912,1971365911,-1979600649,394127590,-511048784,-1340639512,-387610107,-1578887313,-1578697180,1609042864,-1977611241,-401887008,-1863772325,196147808,605507048,-1327461665,390719499,-1973387543,-198919709,1976009964,-209000436,-855705886,-2135625867,-1023363901,-20987853,92874255,-101058055,87631609,-101058055,246465529,199817884,65539607,-1878856960,1975560399,-1325753326,385411117,256014,-812645653,868417828,-1901018176,-471270756,65539606,-1878856960,1975560399,-1325753326,382789805,256014,-812645653,868417828,519816128,-1912586056,279013080,-14326272,1711276287,-432820144,-1468930960,1951950368,878086,520159232,-7935805,1048602740,1946288201,1228832777,41157376,-13412117,1958725518,4622848,158597180,1182073148,-336534344,-257640445,1946499878,-1409614791,-72628084,-1979685472,-1962908122,-1191156970,-1595408372,32815880,-2094580248,1704985794,263515648,-1260071704,-456136701,-890764620,-402541340,-54270779,-464474778,1480632417,-293395084,76113412,1220038686,-455569920,216042081,-1973295608,-973078506,-16777210,1642513542,-872865960,2122381191,393543686,1966383336,-432820201,-1468930960,604533764,204961276,-399250684,779302043,1949611240,-1608204741,-1472919832,-1102023679,266903593,-1975547150,115835103,1946484608,-1607221698,1958798208,-1607549386,616444395,-33246048,-30903092,-2094762808,-202701370,149191,71747328,1187381248,1187446791,-956301300,2630,1966353640,-397808836,-596495256,772558476,-1996270453,-617412010,1966347496,874637322,-1976695438,-1979764196,-1976696226,1854407276,1284124165,72255489,17254086],1048570,[1966350568,-242685937,1962950528,-386431225,-142085503,-2009849880,-1070397866,-32086399,-1007187969,-81327871,1326383648,151200021,69280335,557600530,-843122809,72780704,1966321896,868083759,20719218,-964486540,1946303494,214336266,208929596,772195971,1946244155,113672981,22297390,904596596,678690876,22297390,333985397,4161777,-142145675,-2014180120,1418342135,-251598845,1317803912,1418407436,173443332,18245249,-339725568,374243604,213123073,451657778,18239105,839693312,-254482240,1962950528,1358399241,1492241640,-142084217,654901699,35715987,141829897,1326383649,52499733,580341513,1325990689,69283735,1008160530,-223,-1,-536870913,151135490,-162463958,-2144925681,35979999,1358899721,654839798,620945216,-15003902,135263828,48169039,705233445,267800831,-545239288,151135490,-162463958,-2142304241,35979999,1711217426,1325928438,547588864,950348288,16776960,0,509606656,4243280,20766606,494154615,10487542,-2144701183,16818190,-100642328,-31153692,-386162202,-336068576,-1610156523,57999616,-401871880,645922851,-335675232,-1269237503,-899735808,-1325793278,329050123,-1974452212,-401887008,-78113897,196147907,605260264,-527806273,-2065167440,-1006938093,9969289,10094220,10229385,10358409,-92013629,1242002432,-2035019916,-466435079,-335412806,-1930825692,33667584,1007625452,856323343,870003648,-338545719,-326937224,-1997763826,-386269114,-108330899,-940699728,3142,-1995678069,-527824290,839853292,-1961789984,5236959,1586092331,173947660,753656439,1055448971,-153539840,57934276,-167616887,57934532,-167485815,57935044,-167354743,57936068,940072585,-1267400634,1532516603,1566399065,82362717,-1056642111,-356449047,1355020292,1139146928,-930463516,-393592604,1610335064,1086018334,-153383424,16818182,113651317,100728992,512607118,468189344,-453376001,-335666015,-436147456,-437716063,-1610156290,-109805568,10495616,32241791,1595890681,-83885366,106979167,4241438,646568078,378273895,11534441,-202866458,520516608,62152967,1552808911,130491936,-930283521,637853889,-1946007671,216580552,71796774,88589862,677154202,-16267482,-1043297025,-1993997088,-796130745,638380225,637814664,-1845147706,-930327034,915259534,-454515310,-388986112,123601127,638082189,637687689,637814664,16713671,-427773702,17770096,12707871,38242598,637584104,637814664,-63545,88589862,17770130,-536801513,251658509,-13701119,866208046,-805302336,-1912592200,1095888,414767246,-54489600,-13371853,1894121648,1726599505,-145119757,1946157505,-2135907071,683176166,-1898410496,1724944064,2101072,-121498,571441151,-363305472,-268393512,503385902,1558946129,1212868858,-776988299,1105749222,-1341098680,-396302625,125126712,1692860336,-1018679320,1642332852,393494696,-397390258,41156918,76088459,-435680168,-420010911,-1979599775,-343873852,-1044345711,-972880672,-1047768637,-389953909,-1044315388,-1017574168,-1912586056,1763086040,1730579200,2942976,1894121648,-2040461537,-2038373180,-326412860,209052682,-33134975,105808383,183173184,-1090099583,105808383,-815988735,1967633384,-422465509,1202382948,-575663499,-1578606362,-1341557433,-396040449,74729368,-2132409424,-1335926845,278980657,816898186,-820995608,-396402693,108330798,-889585740,1408958466,641227917,-63545,-524171124,1200170500,-1043821566,-2010772248,-970587065,1536820551,-435048198,-423130592,-435900383,-436096991,-419450847,-435048415,-423392608,-436031327,-436096863,-419450719,140283297,385945382,638606477,1428095247,1187507339,1560293380,232784143,17760257,788475632,-1070358195,-1194328049,-796000216,-1912596296,2144472,-466435954,183032,-1207558573,-661782520,-2147479365,1971324543,75464751,-2094434880,1962934911,2145059,-1845147706,-1912594248,-2049088,639601446,251660279,-4717195,-1207702784,-617414404,-1017438457,-1064384372,870774203,-1543453760,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1543503872,-2046820320,-1588592640,807731216,1479556096,121378676,512431474,-478150640,82559024,-1976631502,-341294457,-1576554494,1235222601,-1342129408,1006875834,-1157204985,-725960704,-1983672829,-1744805098,-2097041261,-2081553214,-1070398230,-1577038173,-1976696734,-1549266297,-472842166,445090606,5022632,-1976636463,-2136462681,1705000932,180364288,6660804,849840686,1713801384,1095936,7989254,174885414,189565478,603998624,1963080958,2088773141,242552073,1206437258,-1964471808,4253889,-1995978614,-1610588146,121372745,71042932,1929380024,119584771,12189491,514585376,5291783,146391091,-156503296,268470022,-189069708,515958785,-2097125984,-1007811390,2041169,-523107407,-235532623,1913126016,1505820162,-1962986813,503335198,-561056205,7616197,983534126,1458766760,-374885699,1593570347,-1064380276,119849759,-1744805214,653742672,1319305292,-779003392,-401820439,-782367449,1351388134,84470016,167798432,-2146863617,-534503453,200000266,-472775247,606135168,-1564276001,-1031602074,-1597772283,1183318089,4890624,-1610529144,1183318114,673760007,673730640,134238288,268437504,1073745920,1073758208,673988608,774514989,808462622,808464432,12351,538972176,16986144,466618115,-490529840,466623440,-1784610988,-22733872,466676103,466623440,-279475805,-261809200,-129894323,-415634343,-399574951,-406786094,-26286350,-11272365,-272109404,1251409920,466623519,466623440,466623528,466623440,49808376,58196924,336855672,16847892,1966337,816840766,1085834470,-1950315008,1509954334,-1070338765,857735358,-1178235137,-1410105344,268486017,-277680581,4241490,512344206,-1070399469,-2134916978,5290240,-1765881716,-1415237976,-1070335774,-2134916978,571649,-1426063176,-1325604181,864347697,-1094676800,-1061181306,571649,-1523660660,-1325669717,-1098586574,12560454,2144512,-1523660660,1476125355,855670463,92874432,-432820129,4241540,12245134,1015079954,-1979550412,1914079696,-432754688,-1181698940,-617414626,-997535181,-1978932760,-19266608,-1326193980,198502575,-1364143990,-1978937880,1960000496,-393301998,1074531266,-1901010806,-1341407512,-1333467595,-1148918218,-661913600,951107726,-1732344602,49064,771752633,1111659181,1962884332,46628871,-1416476086,967896546,-1665235738,573352,771752889,-152268115,-527765808,1975794412,1086816261,-337466478,-2065286480,-1079467330,112787576,-1523649792,-109721211,-1912586056,270436824,-432295936,408545412,8851072,-393301996,1084754746,-1380970379,-1475661336,-2146995195,-83851482,2008748523,1200500410,-202053626,645924212,-956628857,402686982,199791792,-1976556533,-1340190496,-393943470,1478488125,-58716300,-402426880,1404043573,1055425766,1085850608,-388461056,158475740,91555132,8857216,-15365,60746239,-2065280848,-1912586056,-430853928,-393301884,-1062729026,-4979340,-1332737301,179366036,-527814620,1387273808,-488078106,1951932399,-1869561072,-622328972,-430723072,-270276476,1342578371,1962123240,-1900006644,7651264,-469383386,270958832,243322624,-1271922672,-855134208,270958608,243322624,-1272971248,-855396352,11200528,-1340143784,-1115363756,954837753,1346380801,1476403432,-789177229,-1336917980,1485104725,1929384168,-430526451,479455364,-400787736,-1161618317,-628376969,168805251,-2025818688,-1258180397,284983312,61870196,-58711883,-402164704,61866053,645931189,147783696,1342181422,1200500307,-221976570,41179227,-1336884231,1485104727,281870516,1405337651,1949367424,1304579,1052288,-1909564624,-1679292857,1946661106,-1329333799,163113102,-527818740,-1259827536,1487979273,521045222,-1329956933,-1903892903,1944585799,-352094990,1521520751,28345574,62406529,28312181,-1326573685,864347739,-1946209326,-947188401,41665586,-1036861186,871621290,223316991,-1003305077,-1057095045,-508640718,-2147125773,-713687054,-2065277776,-1409565284,871366633,39291593,-186118476,343186688,-2065277520,139955027,1334495539,174033676,1528507112,-2065277264,-2129673341,1941607931,-9180925,-2065277008,-423579453,-18076,44590308,-119405452,-4650005,-1469782785,-502237951,-1206862856,-1124065863,-1628853159,-453055717,-1704096,-1,-1,-1,-1,-1,-1,-1909331201,243920896,1235222624,1023288320,858420482,-975466789,-2147453898,1963792764,415364892,-1961462504,1625522649,-389707168,-393609199,183026058,197691904,-401951541,616759359,-166808561,-773271068,350802408,-8338688,-2042071289,-771804421,38702051,5279625,973103776,863307590,-2034224302,1244067781,-1580727552,-388956082,-1269118973,-289109490,-339375550,-301929728,-1966801334,-352261180,-1975325184,-352261183,-1018499584,1122944138,15451530,1257111787,-997538562,15401195,-1047903506,15401195,-436253970,5814302,2025576590,32553715,855642296,-1387282945,-464961815,-435418015,-420273055,32553569,855642296,-1385710081,1933223145,-396929525,1583302963,1273699186,1084776932,47206,259325952,-201524351,-54852236,867625971,1354964928,637897254,1642333576,1642466316,1642525476,-1072994728,854071669,-2132769063,-164425756,-590347087,-498727565,854995961,1712843712,644220043,-141884109,-1476393799,1711764991,1174988993,-930417182,-115353973,-61,-1,-1368195073,-1364808040,-1339183193,-1297895330,-1331907933,-1364807454,-1320570969,-1297895055,-1321487709,-1297894887,-1304120669,-92229008,-854428800,1436307520,1183575179,172394754,-346514083,102654024,-326434710,1981152384,4241418,1726535822,-2127631612,-124314,1724033,872217346,-992440640,-167705546,74711490,18364100,-1912586053,-1965519909,-472836770,-426246354,520554413,1720242017,1948682261,-855592448,273058368,-2143510748,-2126769806,367529335,49211415,95683955,-1023026456,-2013236064,646452294,1720189044,-622279915,-397184507,548406503,138737190,201487552,360611841,202470666,-1977200638,-1073084604,78643829,1476413064,-402634590,-1030879985,2142697611,169180800,-1005975948,-956431755,-2011929078,74711398,74901050,1256917428,-402275608,1114768850,1912856040,-386364867,309528068,1947335808,147322378,300428404,-400037115,753403219,-400592379,2122319108,91556373,1912931560,21954065,1190643061,1962934554,86566920,753402859,707445509,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,-402416407,2104624345,-1341921560,1156982320,41205768,2122318092,292883221,642777612,168248458,-1342016064,4622340,4760152,-1241248024,360611967,168195083,-33393212,342231750,1946248840,1994799620,-351685628,80078900,-1962677528,-386888742],1048571,[-85457845,360611843,-402295541,426902526,1912913384,46721044,-236449934,-32869884,-613088946,-352042520,71690243,72607939,1625827442,641773571,-1073199882,17564276,-402634590,-2014837641,-401640956,175243922,1912912872,68216837,350749675,585679620,-399150588,-1977220305,1134693956,1208403456,1223184384,64350212,1760042610,-1948611837,58452208,1912883688,39118863,2112359026,-402296316,65733586,-1023158552,-1575729527,-1974271884,-478146466,-2114223969,-1995606437,1183388230,-402148336,636158903,1208257318,67059016,-4717706,-1059027453,170264288,1183387204,1686775314,-1597178366,1183383669,-1628912880,-1974439421,-1977216930,-805436804,-157233280,57934275,638635904,638475402,-1056619381,503710440,4374279,-1430025558,-1968569936,-1968526652,96905927,-1662515311,61663235,-1209528462,-401968639,91358176,-352111128,-402148347,-389872841,91358021,-352115224,53078019,53995715,1156063090,1208403458,1692954624,57993219,2145914738,-401968639,91358120,-352125464,50456579,51374275,-58718093,-385649407,857604247,-992440640,520160310,-972944664,17670,4589254,1193705472,1139335168,-1163874303,-387055114,-1461189759,58452223,7683712,-2145947134,268453646,-1342102040,32946864,56879342,-385905944,1719731037,-956301798,-402647738,997331855,-1900006626,70698200,-2135744767,1929315304,3532842,1048585586,1929511029,552335363,-1900006626,406242520,-2118967551,1929307112,1192132618,283643904,-1274711296,39446533,40364227,1961369458,1208403457,-1796730880,44361730,-1343746190,-401968640,91357912,-352178712,36825091,-1022081400,1912749288,21620771,4720326,40495248,1912764904,8710163,333975154,-1981533695,20714566,548668788,-1023278360,7675530,-1014969346,274606720,1183386483,306612500,-351254903,340182809,-1977220352,-165281212,-1960440220,-470332644,-1995422071,-960294314,-1275063226,359041025,7612040,18501249,669565696,-1977519616,19140678,201646272,32946848,1370350,547884658,-860617612,1084753643,-1431042699,-1023307032,2145931603,1979661312,-339442172,441111,-1460394823,-401705856,1743314592,1274339840,-2135626123,-1017423367,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,707406378,1344940586,4241438,113694862,-1325465458,-434051552,-1900006496,-1862223656,1411317660,-816308480,-335415366,-1023374174,67112970,37756928,-335416902,-1275032158,1960256544,1824413200,1927336115,-102021629,-2040615890,9281760,1149970115,48808197,-1979694430,1134695494,306612736,1151483684,323389952,-1979693662,-390065594,275155462,-1067391872,-1005976596,-1979693406,19140678,201646272,292981408,168814208,4694726,138709542,-301730118,1095875,50489079,-763359674,-490647552,82362636,626577419,516096015,12180366,32553473,-1021349901,1317727538,-578361344,1929300456,3270672,-1910633614,-1172329253,-487718416,12174312,32553473,851668467,5147373,-388145176,208862882,1912605416,32553479,-320689428,616124867,-24319756,-138801038,145288193,971507829,-1259085091,-1017513600,855570920,340167140,359041219,1328838,7612040,18501249,-960235264,36358,7612040,7677578,292873226,605046410,1954561183,1959591438,1954626564,-33822714,-1173230599,11535350,284092654,1929248744,7071747,-1101965629,-239468478,506113,-498930004,-1017226757,857624915,-120025408,-1668284232,5512959,856322847,-1912206656,-350522112,-1145031914,616103956,-1912206604,-401902336,-169681764,-1259375285,113703296,1493172366,547930971,-860617612,27791339,1474823540,-1475941378,-1274842108,-1178339055,-138742748,-322948351,141889704,-488872984,-109005578,66501315,-1007811920,1910796518,-1972312381,-1015945532,-2065284944,-1912586056,7512536,876380390,-436272523,-4987509,1891499827,-769201739,-2065284688,-789159452,-527822812,-452984903,974136417,-502238012,-1232290826,-1124067143,1659483541,-1327895790,1719985730,12250419,28861952,1711276032,12174643,868388416,-781803777,-492083504,281444601,536935041,1135667314,1642366182,1642466316,1642525476,-2065283920,1711276223,443,-583834112,-1966765210,870289140,1073789430,1721689738,-1969237039,1722640116,-253639885,1169179765,1642366182,11583656,-947840139,-8318976,-781049856,41635174,1185973483,1085834470,-2585088,-1107348508,-1209420243,266567889,78771763,91478992,872014406,-339725578,79269905,-1460589824,1711764991,1174988993,-930351646,-2065283152,-561195381,-1124073281,1189721701,-1230587120,-1124068935,-1997949327,-1963005167,-31182267,242549308,-2092149365,1971324098,1166704718,-1007030706,758263857,1953724755,1109421413,1685217647,1767982624,1701999980,840960525,1294807344,1919905125,1917132921,544370546,758329394,1869440333,1092647282,1701995620,1159754611,1919906418,892351008,1835355437,544830063,1869771333,537529714,758591538,1635151433,543451500,1869440333,1126201714,1768320623,1634891111,1852795252,1109396746,543519585,1969516365,536896876,1969516365,1092642156,1867325440,1701606756,536887840,1969516365,1126196588,1342835968,1953067617,1749229689,543908709,1342185521,1953067617,1749229689,543908709,1056972850,1061109567,808517695,1330785585,1917132877,225603442,808722442,1867328818,1751347054,1701670770,1633960224,1919251568,1767982624,1701999980,891292173,1143812400,1819308905,1092647265,1953522020,1176531557,1970039137,168650098,825242400,2036681517,1918988130,1917132900,544370546,1411412591,544502629,1954048326,543519349,1953721929,1701604449,537529700,758198323,1652122955,1685217647,1920091424,168653423,875574048,2036681517,1918988130,1919885412,1937330976,544040308,1953066581,1920091424,168653423,758329395,1652122955,1685217647,1852785440,1819243124,544367980,1869771333,537529714,758198326,1802725700,1702130789,1852785440,1819243124,544367980,1869771333,537529714,758263863,1919971139,1936024431,544370547,1702126916,1869182051,1917132910,745697138,1701597216,543519585,1667590211,1850286187,1818326131,1769234796,168652399,825241888,1328498989,1297044000,1920091424,168653423,842412320,1937330989,544040308,1769238607,544435823,544501582,762602835,1853182504,1952797472,220819573,538976266,1850286112,1953654131,1095320608,1397706311,541280596,1802725732,1702130789,544106784,1986622020,977346661,824183309,1395470902,1702130553,1884233837,1852795252,1917132915,225603442,909189130,1699556660,2037542765,2053722912,1917132901,225603442,909189130,1767124275,639657325,1952531488,1867391077,1699946612,218762612,1378361354,1297437509,540876869,573654562,1497713440,218762537,808656906,2035494194,1835365491,1768838432,1699946612,1769108835,1277196660,543908719,1277195113,1701536623,537529700,538976288,1851072557,1801678700,1937330976,544040308,1953066581,1667584800,1953067637,1867260025,168651619,809056049,1936278573,540024939,1869771333,822742386,758200631,1802725700,1159737632,1919906418,925960717,1143812152,543912809,1631985712,1920298089,822742373,758200375,1802725700,1176514848,1970039137,168650098,842544945,1936278573,1866670187,1869771886,1919249516,1767982624,1701999980,908069389,1143813424,1701540713,543519860,1986622020,2035556453,1159751024,1919906418,1968318509,1699946606,695235956,538970637,1226842144,1919251310,1229201524,1330530113,1128879187,1936286752,1953785195,1852383333,1769096224,1092642166,-670429894,-1272327165,12058864,515344992,62406656,-254531148,1610657792,2209641,-1164198640,-1327962647,863037070,-1334712640,-91822528,-2065297488,-2048524112,-90066,-1573990154,976158718,1979710982,179986,-373634371,-478098150,-1160528449,-53689367,-1896873800,-419450664,-1147017695,529268704,251660279,-491058315,-1960866817,-1899723257,-435375896,-435113887,-434982780,-431837109,-426594229,-423611829,-430657393,-434982845,-432623551,-436162493,-436162496,-1173573568,-1326578702,-1333467631,62437889,-1174294290,-1158806568,-1158937670,-1158937638,-1070464064,-1166558226,-1329893697,-300446975,-1979418741,314114647,-1151353600,-2082435863,-92207678,58000345,1257124016,313583615,2025686246,-528291397,1468713267,-1123109886,-1813398651,264471537,-1164575871,330349170,12158182,-490720511,-436162308,-1975458749,1027663072,242548736,-1179218757,-1262682088,205777339,347143915,-1951365914,15429862,15401195,119828964,-1951342454,-997560090,-1934593562,363884774,-1917811482,15429862,15401195,-2145095196,-1901010806,15429862,15401195,-2145095196,-1971272458,-2146994720,380666060,397444326,-1901034266,-997560090,414216678,482182374,-113972804,-215719452,817390054,-1127182848,430964992,2112390374,-424824596,-18076,44590308,-119402380,-1179119429,1287454749,195815868,45743851,1365304320,-401372997,-463926818,1946265700,-1141972464,498710544,-1133527808,-351565591,-412292866,-1326586904,-393943526,464580086,1676182758,-434327354,264628356,-2065293904,-1341131288,-393943507,514860139,1021871334,-434130925,983427204,-2065293136,-400937240,-873985165,724035639,-433999621,279832708,-2065292368,-1340992280,-393943518,12521891,-1126712064,-2134176279,-75448093,-1341491904,-1115363650,736738537,-433803061,-1335827324,-463149360,1946331236,-453448958,1946265700,610329850,-1963776771,-422465312,-1469782940,-1963297534,-1335826748,-393943515,649122962,1810400486,-433606650,-1158893436,-1326578754,-393943512,699456641,-1947695898,-433410011,-854608764,-855591920,-1973296112,-429126432,-421493151,-433344415,-401690492,78182374,12192884,-1188447456,-402646343,-1578890793,-1578697436,-81518108,1085809126,-958886400,4614,9834112,-1777434496,-386260992,-223334756,-1174707994,116850687,1948254358,-956833273,38406,1048676068,305397874,1085283188,894953552,1968750602,-427815934,896002182,1273402032,-351677464,1967171639,1971365892,164030471,300613808,3948324,876349042,99287671,-1341541400,988303360,-1833895371,1012419558,-436046848,1913046858,-82706432,-1341548568,-393943508,432878370,2133116042,-1084815602,146390876,1605300736,-385649416,-58719947,-167086806,33592838,636027764,268483329,-469056557,-58688647,-2147126102,175486716,9832182,-385649662,-738787064,1975057536,-1777928664,326369792,9840256,-1775861513,116849920,1946288152,-2142966974,-50325466,9832182,-348883960,-1644396490,116796789,1962999958,-1777928662,326369792,9840256,-1775861509,116849920,1946222616,-2146374898,-33548250,9832182,553940228,-117434594,956072131,116793205,1946288278,-1777434612,645924864,-335740778,403603461,243270144,-116916201,503087299,116794997,1962999958,-1777928675,208929280,9834112,-1775861756,99351808,1576576,386826241,-1007090688,1515141,503924597,116785175,1963196439,1392279612,116798325,1963458583,386332214,276038400,9832182,-166234878,536876806,367726708,9832182,-166824702,536876806,645924724,-343998440,389951492,1392279552,-1007091340,908729656,1178942034,1574646,-2146536188,67115022,-393936712,365767574,-2134640315,-83879898,-343604808,8240110,-116895512,-1326402365,-401695741,-239851368,-1847062884,1962884136,8239904,137619536,1946172504,1946237972,1946762256,8239884,-1157202456,451412093,-2134640376,41287676,-58672149,-352160428,-721649517,-1544879499,1967520896,-1873810685,1975057536,9955587,1966603392,11266307,1968372864,13887747,1967586432,14084355],1048572,[1946307048,354826791,-2139982848,58020860,-2147450647,2020871420,1966341248,-385830907,-58720004,-1341819596,15919361,116835320,1962999958,386332186,-260832256,1509110,-385649656,116785310,1963982998,-2147095585,-33515994,1576576,-1343686136,-2131016406,33573182,1048577908,1963130953,95965193,-855526465,116807696,1963458584,1355020793,109494323,-1065091047,669516660,-1662298093,-84549399,-81103384,-165026071,268473862,116790644,1946288278,386332181,242549760,9840256,-167056387,50337542,1810432885,1206450943,97338666,-154928645,-2147477498,-1007091084,116835320,1946419223,386332407,-260831232,-1763052880,386332160,-462158848,1509110,-153258744,268473862,116788340,1946288278,-1775861553,243334400,-394264463,-386268857,-79353354,-1070392371,-1078696469,-315420467,65651705,2028210943,1006403635,-58708356,-2144633276,91510780,1968766080,-164319201,134223622,850408821,1509110,-1339263740,386332208,594871040,535506608,766559224,1509110,-1340836600,386332195,192218112,116791728,1963130903,46150146,-390057248,-1007087058,259580938,1195164810,1396442236,113641342,-134217703,751078083,-1685996729,116840238,1963458583,-1685143979,1509110,-163416828,50337542,116798069,1965031447,-1777928682,225772032,192687676,1967979648,-336547836,-155176446,33592838,645924724,-1325596522,298379488,1139523634,1509110,-338332384,-653465374,-646782838,116798699,1963065494,1949187119,1965767817,3729418,-256321931,1020193614,-401967827,-931856342,-347410248,2083531968,421956287,-1576348416,-1007091687,9840256,-1682391299,915126251,909836314,-1012072420,1509110,-167414776,67114758,-1577411389,446890112,1876736,256014,-812645653,-885397309,646589300,-58720183,-2147126780,896927468,-1962891032,-2097126634,-1460926782,-84183807,1946265836,93005563,-83868023,1227262659,83656704,-327154318,-401967610,-1960443779,4622597,9824451,-644955764,-779290741,-326909554,-1208186104,-1979534588,2046611460,-1963947501,146342228,2044907776,-791611135,-169680175,16155050,1976303136,1355187166,-713699330,-661731188,-1946521922,6940924,-1070390669,918935694,1397751932,-611530612,1482408763,-24967819,-1962314752,4843772,-2147220878,-1995914109,-1950154682,853510904,5022207,-796138505,-1618222127,1251999824,854062592,-775748609,-1748892704,1344179139,-2033044736,-772043814,66048495,1225193211,41222656,-100408623,-1949922365,-1158860065,-1957298048,-1308914704,1957163780,525579,1592816970,-1007042509,-1312412834,-1008151805,-1912586056,-424628008,-1564462460,-1901985675,32684544,854480304,1430056128,-1313864076,233538790,9113216,15001601,99091314,-424103936,-402209916,359858587,-2065255760,-1178992453,12189726,57272320,-352210200,-424431573,-1900006524,1053042368,-2135817980,-2147476504,33584446,-1263529358,-1070365466,-1004093298,-1308551106,190593,95929095,314114739,-854543238,1376875283,-335415366,1971365978,-2130935784,82513780,309661864,-489855000,1976303328,1976565465,17426643,162815211,-177073203,332206516,642927986,36504971,-1964471808,115458252,-2147366528,-457175836,1490323972,-1977167862,-822214027,-855375432,-2145684717,376703740,1947335808,284983313,-1047917452,289149220,-1040315020,28958443,-854805504,-402361581,-1007091566,-1612149072,1950394608,-424169462,-117395068,-1332708885,-259200878,-311115766,857659530,-1899459648,-1060926760,225707240,91557692,1877514672,-20840720,-166677048,-469695003,17081338,17174156,-1014317005,225709860,91557692,1273535152,-20381968,98956993,413393921,437160961,5021953,-1593769821,44236878,1275512577,-1943137792,-956281330,1124194310,-636580813,-2011170047,-1023380210,-2065254992,-2135314245,57966842,-1179008069,12189715,33417216,-424234813,-1175733372,1954675328,3794950,-1179003205,12189717,31582208,3860675,-1174387480,1018888695,-198919936,1954588908,-870389748,1967912674,-343886608,32619018,1946238188,-115297277,-1901004093,217034216,-1327461880,-274077554,568640507,568785700,-1088118300,-1195138586,-155582464,78704131,-874583826,-1007812432,1381061627,1428051798,1086254219,-2116121088,-1962933278,83656946,-1668676493,-422510468,38027,880071179,91612292,-351989016,1976368683,87746565,-855760149,1575486837,-31855867,-402295348,283837727,91606270,-351946520,1976368647,99936259,1583292253,-816096934,-1,1793720319,1392513028,-402652741,-1017446398,-397324203,1482227716,-880032931,11598492,1088701414,1088741514,256014,-812645653,-661928826,11598492,1088701414,1088741514,256014,-812645653,726910086,1358660056,-529376503,-1950103838,-436162357,-1975458749,-2042567456,-1327985724,-465312256,-455046592,734299712,1358660056,-503025143,65404892,-2015040552,-1947629838,-1176073255,-355270652,-1107295559,652986049,-2116777072,-1191181342,-792854524,-1877480506,-2010767184,-1434451835,-1177318585,-457310206,-1878791226,-1191385601,-1064390656,653733522,76727853,1075062672,-2054674905,1202356224,-419435806,1381099910,-490613109,178440,1509955816,254593,-402651975,548405261,1509994728,-402652487,-54329343,653733522,76727853,1075062672,1347506727,1476433128,-387818919,1085808323,-958886400,-16772602,-162442465,141869254,-2147462936,-202686226,1949353718,2746376,-351211904,777738739,-397211766,1130037341,-1966869022,1390957319,-498902272,229688310,-1342158616,4450314,16432067,-1157610264,-1679294208,2109457406,3663872,-402620997,-1144783218,719848224,16825088,-1006730776,78768266,115927250,-389707264,616759297,663749647,-400080876,-1144848383,246677511,-1329393459,-1337727306,-1337792968,-465377787,-436007839,-28776351,-64724508,868442598,12123391,784371376,641927050,-2147449464,-203274326,856090111,12123391,-1967092048,-2010758393,-1434451835,133489223,102654147,-2065248080,-1912586056,1730578904,1763085312,-422465536,-1197283196,-1427569804,-422400000,-391008124,-527766282,-269963088,-1143852052,-201916352,280230026,-402613784,-1918780353,8389888,1086050867,-1963723008,-1944155400,8448000,-1329807896,-1199249709,-661782488,-795950962,1711284239,-475,2232191,13147626,17772272,-1331605218,-1199249708,-661782464,6887054,6760075,-1579433496,-768409581,-150978373,15859,602604405,77200,12253322,16744464,-1030875788,-1178586266,-13418496,-1410111748,-964636674,132573968,-1161600737,-1933901824,1751478,-184661272,1464947536,414713374,-942109184,18950,16744448,512236404,1220018252,1723895296,12173363,-50384064,-22285466,-339476785,1595869152,-1017619623,-2013213464,167788838,-2130348828,71246,4623043,4269706,91546634,18239105,-956644608,-16760826,1317671088,216060422,105253388,4138634,168092864,66239172,-1595897106,-390070133,66566662,82624750,603996064,1959016975,1059457072,-1191642368,365793533,2108695410,-1977218895,2122320476,141820673,83984000,95486581,41146682,-470361722,2078857355,1371798524,-1190923078,-773324612,-2136412985,-152959371,82542768,-322452504,1497409602,-1594062141,1177157701,652267525,-1979423498,4628696,638010922,33842422,1191576259,71707136,-1161566326,1067451378,1947149312,-1461137390,-1342016508,1059490307,-771444480,214174436,1978199560,1042710727,67895296,-198919698,4065014,-401967744,-186464416,-335970124,1042710541,652771072,630188069,-1195121614,1727463440,38142732,-100609408,82185446,82232454,-661928826,-2115583350,99008907,99009670,-1006910330,-1073250678,2114585319,172025862,-402293110,-3995078,-1,-1,1358954495,-1595531088,196092134,-1964334616,-401821472,-1004344678,57950376,-1476391192,-402426848,-816316414,1481297232,508757699,4241488,116840590,1946222752,-1674673877,1929629696,-1641118941,477298944,196104280,-390077312,645982815,-1577189216,-1064435558,9969291,-2146467802,123412312,-534425405,-1031563776,-293556221,-1325143421,787403524,-869366645,1120176878,1480737518,1257119524,-289394102,96633674,1122011884,1381024748,-2098723920,-1223855104,-758913008,-1219885452,-759437280,-461088422,-2091774603,-1964243518,1522633440,-1979520018,28361665,1946179816,7454277,1249846400,1522074039,1350611968,1139146928,-997834524,-997834524,-329713525,695584644,510993540,-436162480,-2042567613,-2042567484,-131377212,1562443649,-546154401,-872493598,-863976331,-339725696,-2082436599,-2132015638,-2084364572,1122895042,-383731902,134271549,1010313240,-590285567,-452272944,-472849456,-617422070,-960562298,787678155,-58055670,-1341930877,-360452480,-1947389437,786878961,-869366645,1122010862,-1975368978,1246424775,1257160754,-1006691608,426967612,168084099,-335120960,-351517048,535003142,-2081504374,-51903254,68666366,25166592,6291648,1572912,393228,131075,22391296,268960770,-8372192,-426725376,964996,-489929538,774171394,-1327461716,-387848049,-672624720,1960852200,-426594070,47748,-1179218757,-991428582,-1325470726,-1014700399,-2065263696,149292208,233230566,247061222,-867910144,-1712782366,-1951650304,47833,-301987655,-69057810,-1191132998,-286392312,-85835198,-2082043930,-2098822682,-1981379610,-527791386,-1002797084,15424117,-1002798108,15422069,-1002798620,15420021,-1002798364,15417973,-1002796060,15415925,-1002796572,15413877,-1002796316,15411829,-2065263440,-1191182150,-320077816,1975794242,-1158159849,146342080,1122823168,1975794242,-1946754553,-9377333,-1157627718,448378508,-99751936,-1783562517,233211110,11590374,-790230810,199639216,199639472,199639728,199639984,-689520464,-689552976,-689552720,-689552464,-2065262928,-1325753149,-405739382,41189544,-2135886357,-1964522008,-394088208,-930420802,-1209498448,-1645704473,-756496758,2000370688,-1950054811,-389969168,993788101,-662022025,-1159150198,1998011392,-1946645939,-2033634365,599347660,-1813907678,1018778200,-1176373504,-503897565,324655107,-1966699567,-1262187832,-773523822,868746209,332071872,-2083420208,-938276926,-623777327,-623777327,-623777327,449642932,-1901064469,216482280,-1327461884,-415373170,4241414,-1070344050,-1960394610,637542446,2098887,645975636,-453115797,-419552223,3980065,-151517720,16804614,12193397,-1232291072,-402646343,-18089729,539920678,1797685248,-1022886400,1085820958,-2133291520,16804622,551952560,-1966137512,82624736,181735204,4241603,512481422,-472186864,272555419,1089536,58048522,-469578880,-423579552,-1469782940,-352160766,-1469782792,-453348351,1963239520,46396935,199958645,1963115510,-35422202,-2138038037,-1168900637,1337655296,4045240,1543012072,-1578890005,-1578705116,-81518108,512303590,-1329397744,-393943413,460456284,276104508,-1157627718,800700328,-128063488,-1023358744,108265532,-385826584,-2035285873,-5208858,-390504218,518541571,1692686839,91554216,-1947601950,1012982784,-502958854,8448488,-2065266768,-468481863,1963042916,-152547062,-203269642,-1332712725,-461052280,1957313632,-1874400509,-2065266256,1692839600,-452984903,1946331236,-336010747,179933232,-1469783040,1359574273,1509343464,418116578,-2065266000,-1336909596,-463149395,1963108452,803756282,-1878594568,-2065265232,4241603,243325070,-1157693422,-675610624,1423799,-1007182104,-1912586056,302940376,12254976,-1209222400,-402643783,-1329334393,-1184569682,1692729343,276038312,12253410,-1206863104,-402645063,-18090133,-427773757,-424824700,-1469782940,-453348094,1946265700,-345971708,-427708170,-425021308,655407460],1048573,[27813092,-397342347,-497420763,-1341461517,-461052286,1951743072,-427577326,47748,-1179119429,484966431,-1325470729,-1333467516,-463149472,1963108452,-430067462,-1414479008,1692689638,-92994904,-469736263,1963042916,-622309111,-203269643,-1934620181,1625588966,-117314568,-100991549,-370477578,-707339547,-1700419158,1431738005,12539390,-796672768,-2135465495,-75448093,-1086884544,-1799553023,-1219434032,-1899459578,-798638144,-1979706183,1974399683,-1172641022,-474284032,2341302,-1326017816,-460527602,246685708,-1998004090,-1017313308,83654,-335101309,-1475941757,-1469156092,-965839870,-1342111418,-331158000,-1337270134,-331157999,1309027146,268778752,-1070398852,512425778,707657801,-2133762425,41484508,243974195,-75497398,-2143849980,846465019,-235525967,-372193142,1317595600,40273923,1183375568,-2046578427,-740019488,105286112,4800128,-804883194,1724973670,130188038,-235486226,-2013051256,61932134,-472654710,-771334519,88508640,50586603,50529541,1049232387,121372770,138174580,171722356,222060404,28920692,-401951744,62173785,-21867288,1242970818,840725760,-2134442286,326441470,45403902,-1263387416,-1304958968,-386102701,-1269104576,-1305745406,4793994,-1023318392,518521780,1959922354,-339018001,-402410266,-768429551,-189014549,-167254015,-402410301,-25120255,-33262568,-1261900858,-1309415416,1381104778,4800128,-2146864121,50350398,11993718,856031672,-1978091831,1241532950,1521602792,488424281,943142186,1961101894,-117081853,18213315,2134506624,853314295,-2020987137,116824863,1963458583,386332392,376767488,116817700,1946353687,11528451,1509110,-379358144,-58720103,-1207601905,1995150336,1966472320,-1777928687,175374848,9840256,-1795114755,-1073061653,-58695816,-2141293565,1567887100,1948056704,939294812,116791925,1947205782,-1777928634,91554304,-342490952,-1775861707,871103744,176037948,897343804,830307132,116793124,1946288278,-913551335,247447950,506322,-1359821686,-2146994856,-50293210,-538386252,-1262225152,-339725710,-343953195,-1683308847,1925718504,1022028745,1019444321,750747514,-2135168224,-697026564,1966472320,-1777928690,125043200,9840256,-2134643715,158601212,-1976693889,-342140537,-339725675,-1687568751,1925702120,386332297,-2106245120,2112430124,-2139151105,292894204,9832182,-2146798590,-50293210,1273734324,486310032,116789621,1946288278,-1775861750,-1498088192,-2138032661,91557884,736863668,-997568368,-1047606900,-1879044679,-743981060,1951969010,1948269602,50102292,-58715524,1007647758,1007254625,839221114,1632448,-998194183,-1326126218,32697328,471538190,724117543,926233651,473336826,1174702336,-2110375098,-1962642176,989888566,1946163766,473336081,938015488,-1202698985,365793538,1358676824,-402620997,-1017580555,1183449524,374243584,1388511233,-1476380184,-1329374656,-1341985904,-515839984,-152546621,106334975,58053130,604301504,1958742543,1996766215,32241667,-389850375,663403882,-1022311178,48991920,266866352,378258401,-1024065520,-2146274303,158646498,1967192704,-352144888,-352210425,-117394941,-1963160893,-469105050,-524287116,-1895430140,-1008236032,1720384650,1961101830,81838083,102813942,-410386289,-1598016573,1720320143,1961101830,82362371,-1023406299,-1974316208,115916996,-301729862,-1979675744,-1061149480,-1007287064,201487361,-1058766847,646504458,1532625035,48808792,-386173707,-1007895336,1978988776,-1127290629,-1007761526,-2044949722,-1251077,-404161658,-397360129,1253513658,-1962943000,-406845570,108923394,-385887768,292887183,-1090517063,-1175977918,1191545087,115931362,1093044224,-1597810688,-1062731710,145237876,-2135686028,646586859,-990511037,-805014480,-166401044,74712004,200000766,1954596086,-352013310,-1023364094,-1912586053,9485275,1972584320,13101315,-1071380598,168224960,-28216128,-1289456184,-1272466171,-1273770752,14674036,-1325135432,-841862399,-385650157,-58720124,168064260,-1266977344,-1273770752,12576919,-1205287552,28378121,332255795,-58702221,168064260,-29526592,-2139392821,-1209325075,-315488845,332202164,-1830283340,67221504,-768405327,477303757,332202164,2129139124,67221504,-768405583,645075917,1182059518,-789854722,-2147446597,192190271,1927808180,-1589855744,-1265609237,6809652,-341758022,45387850,-1157604120,1065353360,-1173982092,938189077,-1593263472,-1265618453,4450305,-341771334,-823619546,-400329219,-266011179,1006954688,-1594115583,-922873484,1956710586,-1161232886,57975074,-392086342,1405288579,939561147,-2012580825,-29824985,9375360,-389850362,1752563089,-1057122072,-533068568,-58699660,1007187252,1011315715,-1337756668,-557520845,-64748532,-527776758,-1125633104,-39786274,947200168,-863969142,-401690592,12246699,-1172391136,-402630215,29225115,216000512,281874356,281870516,-2065252944,867176171,2145968266,-2030361378,-562173756,-1031057213,-1030827469,-1426032449,1487653004,102654147,-1475370993,-2065276752,-1910767432,4242392,-1943616626,637561110,6760073,6555335,1638924288,-639073050,-2130086743,268461070,56748288,-1330698008,-947591582,-2147449338,-2012821760,-402653184,-2128172802,872444478,-1592822510,-2036137860,8298752,-385840989,1459356158,-1945756073,-1144811813,-611450832,-1081930562,196673683,128316160,-1335992545,-393943453,125020800,-2065275728,-2121265173,-2147453378,-2129235200,-2147458034,2082376448,1981712640,2115930880,2015267072,-1391073280,195917544,-385649472,512426478,-343867274,512295040,512426106,-343867268,512295040,-1868562304,9413120,113640116,-402587502,512426745,-1014955894,512295040,-1073020794,243339892,65636,6696584,6755977,6885000,-2065275472,7872139,8003209,8265355,8396425,8793739,8439169,-1577021024,280232079,9569990,44820481,9051787,8920713,309641227,6557313,780664834,378077294,243794031,-2002714511,67110144,725582011,989891870,-1959169085,50366510,-2130672082,-1593802555,-2103246707,-1895381504,646643456,113639564,-402587502,-1073020207,243339892,131172,7220872,7280265,7409288,4241414,-2135048050,-389707008,-1123571681,113639552,-1342111598,-402606850,44630885,-2129497088,1140876302,1781434368,1796638976,1829668864,8823040,-150732613,973254883,-1977518910,-1845049630,921174272,174339,243339892,262244,6958728,7018121,7147144,184584353,86537408,-470350848,-494268240,9569990,50849793,1946157737,1678672146,-2013263872,-1996459474,-2013236458,-1593805554,327816,1065401092,9248299,611566395,-1275032416,-1845049602,-756547328,174338,243339892,524388,7483016,7542409,7671432,-2065275216,8789643,320768294,-2011264256,-1968132096,-604903197,-410340944,-1310987544,1678178048,1946189824,-402542334,1739630758,1048675558,41943174,-1280307598,215729640,-1327461760,-608048973,116851380,-65436,62128756,-1326936144,-429346597,-1335827324,-396040672,1692668552,-93060696,-527802140,-1341862784,1348789856,1477604328,1625736330,-1340970008,-194713858,1773207019,12289254,-1878463744,-2065274192,-1207959109,-661782464,6887054,6760075,-308615085,1977289563,10021123,-2065273936,-1910767432,1678178264,1946157312,-310450154,243985714,-242548634,6885002,6755979,-139980056,67134470,-401181696,-315429536,6950538,243986827,378208365,166199403,1678178216,1946157568,-314382314,243985714,-242548626,7409290,7280267,-139995416,134243334,-401181696,-315429596,7474826,243986827,378208373,-840433549,1678178215,1946161152,-318314481,-1157627718,448378508,-323360768,6555383,410320895,-135467032,1073767430,-385649664,1642397477,74760360,-2065271632,-1326069016,260367980,127995817,1405313311,1840306314,-1014332186,1857083530,-1014332186,8396427,8003129,243345014,8388708,8003211,8527497,-1962914584,956335134,1929412638,-2145481980,-1977710336,-1875842304,243341428,8388708,8527497,-1962923800,-1996454882,-352286178,-1336897514,1485104751,8527497,-1962929944,-1996454882,-134182370,24428555,1405311993,1890584151,646481126,-997588916,-125049806,-2147483461,16814654,1085803125,-1950315008,-1521620795,8535683,-1207143168,113704960,132,-1342142743,-1199249807,-1064435640,1431787091,939560864,1996508166,-776673275,-169344021,1583308208,-1979026597,-1207940050,1441464321,1086555024,1397839868,4988554,855640249,-775932929,7643,-1963531605,-1207940066,-1007288320,-1207733246,1537933569,1048600409,1962999954,4241420,-980696946,-857160957,-2111948380,-1207535872,166395904,1275494544,2129199360,-2078373377,1940934656,123241702,113466207,-1336913065,1485104754,1342196898,-1912584005,571843,-13379446,-607010765,-1358954467,-186500235,-469399002,1958783073,868233734,1194847231,-469398746,1958783073,-1077923321,652935169,9584256,-1206946559,-1064435648,1074120075,-387413248,-346512305,642731816,108332338,624043591,-970537846,-930480123,4992650,-2065269584,-1547334824,-678756220,-352320840,985726481,-385648928,-12714118,-1191676928,1599799296,216580871,-1511458289,242613221,-124779848,-386263603,-1862539880,909899892,74776706,8402571,1717897,-454507525,2112420366,-1597768731,-2134704105,594804988,1977617725,470661125,792533483,-1207601696,267072815,2005204096,1961901071,1977629707,-1107251198,49020927,-158992845,16548035,-264501644,11534965,512381891,-1014366184,-478121180,98811908,646628106,-461373290,-1595930100,-1017446377,1534395708,1996750720,536576086,-397323913,-76214556,9905792,250276079,1625748400,-150995015,268474118,-136180875,-1341204504,-345970956,-1759084508,-907481344,-1060664818,-1022753312,-4628250,-1761151233,158666752,-1310132254,-420171762,-1759084448,-1017528576,473336826,1175226624,-2110375098,-1962642176,989888566,1946163766,473336073,-121622016,28312555,1355021305,1601439804,1735657788,376815748,-1088125212,-1071349748,-570029522,780592743,1742612106,-922849557,-2031872395,-2146648284,170836004,-429400826,646590086,1424713693,209045758,2133100260,-2031730676,1156251828,1333119230,11831012,91504808,-461315958,-431999937,-466752634,209659014,-1266227520,-2094929152,728891897,1999829379,3323942,1077985579,-2031820662,-2146648284,-1005928412,15435494,-419786064,16547915,-997587852,1492863718,-1467554621,-1475840704,-1274776192,-1473385720,-1272875712,775889920,1742603834,28581492,-586794450,840266855,3324388,1094830123,149621172,-2136471372,45351541,-466434934,346286275,141885364,547881140,28574324,-466434934,1012988867,-385649150,-326958838,-1930654920,-1899983152,872254424,3717568,-175396109,638614669,-64057,122013222,1170613888,-970588154,647103813,148935,1170613760,2089664516,96937496,-970522625,637536069,411078,88458790,-1143960430,-470351856,-763312893,3671296,637588096,637683081,855922056,13822171,-1796668557,947686656,604342822,1950366912,1179043335,8513792,-402652485,2037514420,172377738,-1923255104,-561311620,-401050483,-208994194,788521151,-147964533,-1928396795,-14272388,637957173,-335608378,96871940,-388287492,2089615469,93267512,309643518,-1088061402,-402652485,762445913,38160070,-2144983061,45826061,4712448,1187388274,367722822,641236109,-478143094,-972655552,-352238010,1179043332,952402690,-1008552863,-13238276,1979646581,108396292,-218102599,149848997,-1895239805,1150223940,38047492,-1916599153,-1993992068,28901981,-846744576,2089665301,1569269264,112898,365791156,-61],1048574,[1430346987,1380927572,1094918227,1194539330,859390540,961763154,1128940595,1347302201,692267074,2037411651,1751607666,1329799284,1363234893,1836008224,1702131056,1866670194,1919905906,1869182049,959520878,942420536,876096563,741685292,-382978504,837474889,686817422,692273960,1866679081,2037411951,1769108089,1751607145,544502888,1329808160,1347243343,1363231056,1126178897,1836019523,1970303085,1702130805,544371301,1866679072,1886548591,1919905648,1952538994,1869179252,544108143,959525152,842545209,942418994,741552952,876099628,942418996,741684536,909654060,942418998,758593336,1816215853,543976556,1769108000,1751607145,1937011816,1914708083,1936024946,1919247731,1702262386,778331237,-435310546,-434982780,-1172131765,-1276247992,1894400,1273369264,-2065297744,1273402032,1253712560,-2135691776,-1342175768,-1018435950,-1979645767,-330570045,1038934154,410320930,-1833897502,313543654,-1933882394,1620406,-371107139,-18094435,-61,-1,-1,1358954495,1084776932,-816315787,-2048523856,-2065296976,-427773700,-419450768,-392042975,1642332420,-527702990,-337537347,-24407983,41077899,-930298370,-1064380274,-1912590152,16825552,-390642754,-310116144,1404962932,13035703,-91805717,-754973511,178666,-1962892568,65176023,309504,-1342138648,-854674400,-1177406704,-1998061566,-175377408,-13369421,-371068227,-292837980,-661733325,126606131,1642334089,1642465292,-4983413,280887091,-1517884958,1642393227,1642526500,1084776932,-523404,4241637,1049352334,-406780909,47878,-1908408135,-1376557349,1084776932,-1014952843,-549777408,-1070339466,-208935425,-13380213,-371042627,-359946866,856679296,-804998702,1107653595,-768345630,283508729,653758976,76735083,1983462448,-1274608638,-502215410,179094508,-1274645312,-351220466,803783669,237466896,-1900006625,4243392,-1418648415,-1418647903,-1593803585,-1582599896,-1079283414,748749068,782347121,129739633,243712,-356314931,-268377749,2011696816,-1327461678,-764352492,57999784,-1977561984,1958783172,536918547,-1179082565,1491599446,302940388,1122762496,292823208,-1155530566,1455012000,-465442816,1183360,268891903,292880640,-1155530566,465156342,-467015680,1183360,1947248895,536918545,-1179053637,350748696,302940388,1625620224,1692844208,-385876039,1692708440,125043368,669775330,-385876039,1692708424,74777000,401339874,-2136448796,12194165,-1185170656,-402631239,243327959,872349714,-322508563,-392887950,-1070399443,1181194,115868532,302433792,1623392256,-1157627718,414824771,-475404288,1946500245,4974595,1181382,-87858944,-47963676,856039910,650153664,2367115,604423974,-68950528,-496506797,512304731,-1341718492,-1184569760,-1041694721,-1469782867,-503155710,-431640331,-464469152,-434065312,-1261479904,-2145989376,-143311876,-61,-1,67187455,8388608,0,285290752,67266304,8388608,0,285376000,100820736,8388608,0,285370112,134479872,33554432,0,285474560,100903936,33554432,0,285453056,84064512,8388608,0,285390848,134336000,16777216,9,285343488,84122880,8388608,0,285449216,251888640,-65536,2048,285442816,84136960,-65536,0,285463552,117677312,8388608,0,285449216,151231744,8388608,2048,285449216,134374400,16777216,0,285369088,67359744,8388608,0,285463552,0,0,0,0,67265536,0,0,285369344,84136960,8388608,0,285463552,84133376,8388608,0,285459968,184742400,-65536,2048,285405440,84073728,16777216,0,285400064,117628160,16777216,0,285400064,100869376,-65536,0,285418752,134454272,-65536,7,285449216,235128320,-65536,2055,285459968,268682752,-65536,2055,285459968,235142912,-65536,2055,285474560,168019456,-65536,2055,285459968,268626944,-65536,2055,285404160,100869376,-65536,0,436413696,67266304,8388608,0,419587840,134375168,8388608,0,419587840,151226624,8388608,2055,419662080,134409216,-65536,7,570616832,117687808,-65536,7,570672640,134465024,-65536,7,570672640,151242240,-65536,2055,570672640,84133376,-65536,7,570672640,268591872,-65536,2055,1057121024,184811264,-65536,2055,553910016,251920128,-65536,2055,570687232,251920128,-65536,2055,553910016,268697344,-65536,2055,1057226496,67314944,-65536,0,436413696,33760512,-65536,0,436413696,134409216,-65536,7,553839616,100854784,-65536,7,553839616,84133376,8388608,0,419677696,200015616,-67106672,7340033,-2097152000,-50657596,-2065297488,-2048524112,-386938950,-628166725,-2065253968,1358955449,332202164,-1183055685,28835841,1494469890,208814707,-1,-1,-561714689,-1146036766,-92240666,-1339591552,-839325682,511000744,1086053004,-1965322752,-1912572626,1961691866,1963501581,-423972855,8436356,416130795,1971372790,-941075682,-2065409043,-1804288708,163121035,-201618688,-1105300049,1072206685,-1325470976,-387937741,-81474134,-1461140346,-21003827,1974097153,-1467554619,-1475840640,-1341885120,-1337203054,-360388932,31744,-83442557,-393014082,11796486,432871117,1017917180,-402295772,-169091079,-1104335677,-1959854112,76230196,1947140265,-1877218557,-2134842240,309608700,772475624,1742538438,113651234,-400267298,-1950151936,2210291,1973941094,-210417140,-930352245,1957163878,82805511,-117117309,-6657,-50593793,-1957341666,4243180,-461054322,1441270645,-192419596,-1276512140,1976368640,172917033,1719730752,-385876470,58061924,-402612759,91616361,-336318488,174490094,1317142463,-385875702,-855768954,1256719733,-25302028,-402295348,1961620642,41274622,-855740693,-202898059,-2140804108,141888508,-386664472,1491858523,1963785344,172917022,1719730752,-385876470,1148515336,-2114698520,-4257178,17452673,-2143950080,91557372,-336315672,-335773653,-689437323,-2145260556,91614460,-336236824,-302219241,-1528298123,-2146571275,91615228,-336220440,233603075,-820027811,1085820958,-1193767424,-1595474165,-1065049884,-527823756,-1005936156,-1595498010,196089579,551821542,208978052,78176394,568591989,568771594,1962933376,-434065404,1797687328,-820029440,7911761,-402393926,-1460885428,-502893184,149682678,-1472272240,1084769004,-15527,1926651112,-727390190,-1192751758,-402099497,57858066,-1008166168,-1342001176,-396040531,-54328664,-1157226912,-611450816,9832182,-467962752,1974156384,-1777434614,645939200,-1333854058,-81730016,-369098819,116785453,1950351510,1012982849,-2132249279,-1090480602,9834112,386826256,-1336926208,-881793010,242565288,1743269040,1967171787,388399109,-1336353024,-81730016,-2147371288,-553609690,-369098819,398393573,-8591360,1625610378,-850414343,48405,548407410,-369418010,-527826743,1967537232,403109397,242550784,1943454440,548469257,-369418010,548405410,-2131025690,125165820,9834112,-2145654014,125166076,9834112,-2146440447,175439612,1979382912,-1760657399,-346550272,-1310158722,403109376,1702103040,-58133,-1,-1,-1,-1,1913047039,-384683008,-58657327,-2147126188,125162748,1509110,-2143914744,477382396,1967520896,-1777928697,678756608,1926455784,1392279587,-461103500,250288760,1509110,-166824696,67114758,645924724,-336134120,-24057853,354846808,1042432,-2063546648,1629423597,-386268043,1355743266,9840256,-1777928451,309592320,-2139102080,91506172,1948122240,-1775861755,-1017577984,18802768,1692839600,379634520,-684660736,-58714252,-33262258,-2146964544,158681852,679004414,-352315742,354826787,-2143128576,91499260,1966537856,-1777928697,829751808,1964899456,-1777928697,628424960,561570948,504027955,427032598,1348592720,1642527780,201330664,-396237310,1967849480,1642485999,1397801816,1139146928,-662028060,-125157148,1139146928,-527810332,-528072476,-2116539565,1526799867,1482418806,396382403,82362368,646580004,-461373289,1959016967,-1759084532,101251072,48758935,1354979328,5433425,645942645,-386989929,-307232680,-4628250,-1761151233,192221184,1172895714,-420171776,-2144867488,-285173978,-1610598424,-390070249,-2147015676,-134179034,9897480,-4628250,-1761151233,41226240,645986274,1505689751,-95370408,201365408,-1761180096,-79648768,-1185823912,1692673808,-85982552,-15527,889192447,-1060551223,-1058225940,-1494359572,1223468780,2089903007,948965519,508951456,1381390086,-1957670063,-1900006420,2016855256,4241408,113694862,-2113994688,16651878,-1979627894,-58718618,1008431874,1008432920,1007056392,739471893,853051916,786682367,-331376641,20711403,1072230262,1552557799,1075742722,374243584,1532690944,1600019033,-815980793,1973608936,-1550194673,602409586,-2130349056,71246,-435769149,180367882,-1190300444,28442628,-499457328,58063584,-1008931096,33652352,1183524981,1096460,1174660087,13796098,1930361472,8292881,-617414910,-763116797,251297792,1187382386,1048577025,1946157121,1094615054,125044992,182244584,858289636,4623040,55347750,-754941766,1222834146,115918987,1942160349,21400081,175441064,1317079476,-352321258,1005097082,846492929,22973183,-1959861295,-420490873,-352145397,-1978997248,-414652164,-1965229592,1072170878,75401959,-2081998360,1072169926,-2142877977,1963262334,-415963131,-1952441621,605796096,-1224182592,1967171619,-399853822,2089477906,-418584575,-402264445,393544135,-1090517063,-152567742,-386173733,-1997757492,-220051707,-1998112536,-402636506,-469041417,1448156867,1096188,-661733325,1449045235,-1207955271,-661778432,1499376883,-1583028193,-1947703691,-165180765,225775812,1971846272,65830915,-2011970432,-428546009,199641776,-385876039,78699561,1727456306,1942160128,-351685628,6613038,45100661,1303841510,-1964604952,-406845570,108923394,-2082048536,2078802886,80118758,-2082048536,1525155822,-2129758977,71246,4269704,184444648,-504839196,6601178,1960527080,-1258692090,-401020032,129016596,108956398,-387566104,125108467,-1476339480,-1014975296,1317667248,-2065640954,1962950150,1040582683,-1562318848,280518,1962916840,1013982219,-394300048,2054553520,-388329496,663397062,-167426422,41164996,1334501584,988033540,-2007010111,-1152187321,1340604420,-1208329257,-439031793,-1073250678,2114585319,-439818234,-1969057304,-1075313537,2095643621,859010304,1552557787,21400073,74711868,343213372,-1572607917,-2146127781,41222908,-667283536,-1014627725,57989899,-388562456,-1062731723,717439156,707406378,707406378,707406378,707406378,707406378,1344940586,4241438,243325070,-1333788610,-1205803488,365793537,-1211148257,-447682552,-352320839,4366851,-488293400,4366584,28899523,1930808720,1040643595,460619776,485221426,-1191181125,-1070383863,4065014,-401771136,-186474000,-387156661,-2135631279,4073088,-1008465281,707406378,707406378,-550884822,251798786,-162201829,367593487,1256605337,-1209646395,-454760445,-1008407064,-1,-1,-1,-1,-1,-1,-1],1048575,[-1,-1,-1,-1,-1,-1,-1,-1,-1,352092415,-58718350,-1271695937,-326370284,-1912586050,269912798,820150272,-2135424834,58011898,-1951399746,-1912577258,-1950054714,-2117826832,-788463642,-1795215642,-1947625530,503774119,1398167381,-347057583,-76,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,170731576,471402015,117835522,0,173690993,471402015,117835522,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,170731576,471402015,117835522,0,173690993,421070361,202050818,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,0,0,0,1342578261,1448235347,-421482409,-907477884,47873,-1897922376,-1437222696,1595,-315467147,134794,-1106648639,1340604416,-1958120191,1223459801,-796070773,-41172850,1220132915,-1951730944,276598261,71681574,96937486,-970522625,-1919285947,-970581892,654181445,-64057,88458790,-1954040686,-840314421,1220838165,-2065243728,-2065243472,-1900019528,-1437222696,1595,-1557643,842429696,34507501,165789952,1006632888,723940568,1925266371,264471328,-990335,738197432,1925266371,48656,1962983912,-387329784,333971618,17426432,-402623256,1583284457,1482381658,-1017307385,16115742,-1912602440,-1899459392,4243416,-1559917786,-947687132,93005314,-1049549149,-1014954773,-1993940992,8175389,-1559917786,-947687128,93005314,644950691,213851529,93005313,-2089735005,-1960443193,1898881797,-1340241626,528803555,243985714,-507445246,82034953,-2084316925,527696123,-3964597,14909711,216777200,721424568,-268387901,-524303986,1032529663,-1023047642,855665384,-536823562,-74727282,243985714,-507445246,-1012534520,861032784,-805131054,-763036702,-1017620134,1465255454,-1073694383,-315440754,34507302,165789952,-1961432701,-1899393799,-533807399,-218102855,1583307175,1405296391,1348926643,-90438059,-54657229,-1801786894,1717372829,-466461864,-21802045,-1286347541,-387978241,-4980699,203690100,205259188,45353076,41223336,-997588812,1355015218,-117511942,1692836784,-87860997,-1325861912,-463149395,1946265700,-345971708,-119346954,1692837296,1375263720,-467201863,-519985052,41179642,-1672453916,-1325873176,241493678,-352320536,1489997826,-15365,16777216,33554432,67108864,134217728,268435456,536870912,1073741824,-2147483648,65536,131072,262144,524288,1048576,2097152,4194304,8388608,256,512,1024,2048,4096,8192,16384,32768,1,2,4,8,16,32,64,128,0,-16777217,-33554433,-67108865,-134217729,-268435457,-536870913,-1073741825,2147483647,-65537,-131073,-262145,-524289,-1048577,-2097153,-4194305,-8388609,-257,-513,-1025,-2049,-4097,-8193,-16385,-32769,-2,-3,-5,-9,-17,-33,-65,-129,-1,-2065269328,788521150,-147966837,1947140100,32565507,-2132410192,369168174,537855870,68864,-369090033,2684076,-1912600392,-1973295912,-435680032,41057,1642520710,-2134842240,57950460,-2147382551,1073742350,-1912588104,536918464,-211356109,-1174622938,-13426688,-1431652250,-211375446,-661952853,-1912588104,-1175047208,-1385816064,1958951782,9824515,-352160695,536918513,-1201209549,1840672182,1722544998,951638155,869830144,536918518,996584806,1231975875,-185925004,857735353,1438148351,1716868437,-1956205581,3717336,-164374386,1713373369,-1019517267,1950959477,-1191908606,-661782480,-1192003397,2092564484,-1107348736,552203629,8174081,-369789251,-13434601,-1124041542,-1964378751,-1172933902,-1933770628,-226498059,-75429006,208991228,-336331589,-436096826,10217856,-1912600392,645932736,-1195442174,-1064435648,-1157626696,2092626808,-1107348736,-857082431,8174080,-369767747,146276547,-1899918336,243279552,-1908408318,309441,855669946,-169361921,1928471785,8174256,-369757507,-1519193575,-1157626696,2092626940,-1107348736,-1997933051,8174080,-369750339,146276479,-1899918336,645932736,-1900085246,309441,855669946,-164905473,1928454377,8174091,-369740099,57930197,-1191223575,-661782520,140928,444095,-2132476928,91553852,134784,1095744,-661733234,1711284239,-475,2232191,16149994,17772272,-469269474,1946172544,-1177406709,-793051117,-792598346,-2065269072,-2132361166,-1175221309,-211419103,-176862555,-930352245,-5901466,862330597,28862189,1711276032,12174643,-1627442368,1724961126,-453385557,-435418015,-420273055,29058657,1711276032,-1956192973,857671365,-1175155978,-427147264,-741251426,1727302303,-1020041555,343273697,1084776932,47206,141885440,-1451602586,-1010814177,1342178502,202138084,-215719450,1717068262,427147275,-2037398296,266633440,78771763,91479248,872014406,-339725578,82739985,-1476393799,1711764991,1174988993,-930417182,-115353973,253649091,-1331687512,-1199249803,-661782464,6760073,6887052,-1342177095,1367664246,1502182376,-914356620,9496833,-2065270864,1507537745,108321547,-352138880,-1047883775,112492774,41208074,2024802228,-464485146,-434065312,-191698844,27813092,1625619060,-863969142,-2115481596,1622169844,-397384474,-1973881736,1482745540,-1998024784,-194320195,1692860080,-1325536268,-125507975,-1332738325,-108730758,-1912586056,1763086040,1730579200,-352095744,-2132504535,-1040791414,-1173523454,-1933901824,1751478,-187742488,1946272246,47629,-1179218757,887619610,2075194575,-1592818458,1629464847,47299,821566927,8781824,-256,-1,-1,-1,-1,-1,-1205928961,-661782464,520098721,-1506613041,707406543,707406378,2147254314,-58700682,-2145946432,1114870524,-2114417833,-1048641305,-13760529,-336034667,-1084780537,-336883200,182879,-121308990,-1587939130,-121069095,-1563188594,-1532189539,-121702210,-121702210,-121702210,-120784694,-58677880,-117148337,-83885366,-889616716,855310338,1600111588,-152311573,-219417365,-286527253,-466460833,536932815,554180881,553722116,-1592680193,-1593663120,-1778409215,-893741638,567923929,-872802310,-738733065,167772407,1018,992,-436162360,-436162428,-1643989883,-1001222,-1192230641,-661782464,78144740,-359767435,-2065301072,1692838576,-452984903,1963042916,-336010747,45125693,1625588966,-2065300560,-2065300304,-1897922376,-2116340776,1968548415,-109658872,-47251666,-435834632,-939476860,-617359218,1437220737,1992099957,788475641,112261377,1085834470,-1193767424,250281984,-2065299536,1894158256,15401195,-661949980,1894158256,15401195,1910898864,1963588480,-1433081597,-2065299280,1963654016,-1873286397,-236535758,-1896873800,-1093520424,196737233,-796218368,-102568276,-1191141190,196083720,-1073025810,548406644,-2081168658,91496698,-352313158,-436162330,-1331632608,-2138774007,41290747,-13500237,-1959861296,-1191647305,-661782464,179365631,1085834470,-2585088,-1342150866,-1333467637,-350165472,-435375895,610395268,-1335761165,-848239090,-231,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,65535,0,-2122448896,-1715633755,-8487295,-406585381,-26444033,947715838,940572688,947715708,2084044816,2097086008,269515832,2097052728,31800,406600728,-65536,-406600729,1006698495,1715618406,-1006698436,-1715618407,118489027,-859013873,1715239116,406611558,859773054,1882206271,1669325040,1734566783,1520025830,1021830972,-528443046,-520552712,235012224,239009342,1008205826,2115508350,1717966908,6710886,-612433818,454786011,1665007643,946629688,30924,2122186752,1008205950,1014896766,1008271128,404232318,404226072,1014896664,402653208,403504652,805306368,811662944,0,-20922176,603979776,610729830,402653184,-33220,-16777216,406617855,0,0,2016411648,3158136,1819017264,108,1819017216,1828613374,2083520620,-133400384,-973078480,1714428108,1815609542,-857967048,1616904310,192,806879232,811622496,811597848,806885400,1711276128,1715273532,805306368,808516656,0,805306368,24624,64512,0,805306368,201719856,-1067438056,-964951936,-420028722,1882194044,808464432,-864550660,-866109428,-864550660,-871614452,1008468088,218025068,-1057226722,-871625480,1614282872,-858982208,-855900040,808458252,-864550864,-859014964,-864550792,403471564,805306480,805306416,805306416,805306416,806903856,811647072,24,-67108612,811597824,806882328,-864550816,3151884,-964952016,-1059135778,2016411768,-855847732,1727791308,1717992550,1715208444,1723908288,1828192316,1818650214,1660813560,1651013736,1660813566,1617459304,1715208432,1724825792,-859045826,-858981172,813170892,808464432,203292792,-859042804,1726349432,1718384748,1626341606,1717723232,-289013506,-958988546,-423231290,-959521034,1815609542,1824966342,1727791160,1616936038,-864550672,2027736268,1727791132,1718385766,-864550682,-870551328,-1258553224,808464432,-859045768,-858993460,-859045636,2026687692,-960102352,-285288762,-960102202,1815623788,-859045690,808483020,-956432264,1714559116,1618477310,1616928864,1623195768,101455920,410517506,404232216,940572792,50796,0,0,808517376,24,0,-864285576,1625292918,1717992544,220,-859779976,203161720,-859014132,118,-1057174408,1815609464,1616965728,240,2093796470,1625356300,1717991020,3145958,808464496,786552,-871625716,1625323724,1819831398,812646630,808464432,120,-687931700,198,-858993416,204,-858993544,120,2087085788,61536,2093796470,7692,1617327836,240,209240188,806355192,875573372,24,-858993460,118,2026687692,48,-16853306,108,1815637190,198,2093796556,63500,1680906492,807141628,808509488,404226076,404226072,819986456,808459312,-596246304,0,268435456,-960074696,1408958718,-13443958,523137,-472840329,-2052587730,1541681918,-644039217,496825500,1922912413,-241325411,645988253,-839909313,-434065380,525883936,1380982479,-1912586056,1812398040,-16485120,-2097123834,402681406,-1330113675,1812343552,-1559595776,1856176236,1889681408,4235264,527826748,4130550,-468159481,1954588806,1950394386,-432069618,-426594170,-576704949,-28645785,1962950670,-1173573474,-152173582,117456646,-2031842188,-2039119704,-2106244952,-2031697908,1273402032,-34839,-369098753,-5670,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-805306369,-768401824,399311540,1954596086,4242258,28367758,16778886,1131675964,-1912870661,281874356,-1269699446,1494273283,-1261292718,-1273967358,-401552120,393383402,-717569282,-689377934,839676557,-2134442286,-546170370,445499624,45374153,-1996877619,520159246,-12447,0,196608,-1,-1,-1,-1,-1,-1,-1,-1623725569,2143190966,541733959,1329804080,1363234893,16319978,825237744,792212015,-1728301000],false],"parms":{"id":"deskpro386.cpu386","name":"","model":80386,"stepping":"","fpu":0,"cycles":0,"multiplier":1,"autoStart":true,"csStart":-1,"csInterval":-1,"csStop":-1}},"deskpro386.chipset":{"0":[65,240,65,240],"1":[[]],"2":[[[0,[17,8,4,1],4,184,0,0,7,10],[0,[17,112,2,1],4,189,0,0,7,10]]],"3":[0,[[[0,0],[0,0],[164,100],[174,97],0,6,48,2,2,true,false,true,583121052,0,false],[[18,0],[18,0],[18,0],[0,0],0,4,16,1,1,true,false,true,583387718,0,false],[[56,5],[56,5],[56,5],[0,0],0,6,48,2,2,false,false,true,147932979,0,false],[[0,0],[0,0],[0,0],[0,0],null,null,null,null,null,null,null,null,null,0,false],[[0,0],[0,0],[0,0],[0,0],null,null,null,null,null,null,null,null,null,0,false],[[0,0],[0,0],[0,0],[0,0],null,null,null,null,null,null,null,null,null,0,false]],null],"4":[null,0,null,null,128],"5":[28,174,69,156,172,209],"6":[0,[188,0,64,null,null,null,null,0],51,[24,0,15,0,15,0,6,11,3,16,166,2,80,128,0,0,34,0,32,0,65,128,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,9,0,4,32,248,null,null,null,null,null,null,null,null,null,null,null,null],576000000,583403343],"parms":{"id":"deskpro386.chipset","name":"","model":"deskpro386","scaleTimers":false,"sw1":"","sw2":"","sound":true,"floppies":[1200,1200],"monitor":"vga","rtcDate":""}},"deskpro386.ramCPQ":{"0":[65532,2],"parms":{"id":"deskpro386.ramCPQ","name":"","comment":"COMPAQ memory at 0xFA0000","addr":16384000,"size":393216,"test":true}},"deskpro386.keyboard":{"0":[true,false],"parms":{"id":"deskpro386.keyboard","name":"","model":"us84"}},"deskpro386.videoVGA":{"0":[false,41,null,249,3855,[97,80,82,15,25,6,25,25,2,13,11,12,0,0,0,255,56,40],null,0],"1":[false,0,null,null,15,[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,255,null,null],null,0],"2":[7,3,3],"3":[true,41,48,48,3599,[95,79,80,130,85,129,191,31,0,79,13,14,0,0,7,50,156,142,143,40,31,150,185,163,255],[true,32,[0,1,2,3,4,5,20,7,56,57,58,59,60,61,62,63,12,0,15,8,0],16,103,0,4,[3,0,3,0,3],0,0,4,[0,0,0,0,0,16,14,0,255],1824,[753664,32768,262144],[1,1859,1,1909,2,1906,1,1893,1,1902,1,1908,1,1824,1,1892,1,1889,1,1908,1,1893,1,1824,1,1897,1,1907,1,1824,1,1862,1,8259442,1,10815337,1,8455968,1,10028832,1,8455987,1,1837,2,1841,1,1837,1,1842,1,1840,1,1841,1,1846,3,1824,1,8259360,1,14354208,1,16713504,1,15140640,1,16713504,12,1824,1,7079712,2,16647968,1,3671840,12,1824,1,1050400,2,8128288,1,1050400,10,1824,1,1861,1,1902,1,3934068,1,15140709,1,15140722,1,1574688,1,1902,1,1893,1,1911,1,1824,1,1892,1,1889,1,1908,1,1893,1,1824,1,1832,2,1901,1,3933997,1,16713572,1,8259428,1,1574701,2,1913,1,1833,1,1850,9,1824,1,1574688,1,3933984,11,1824,3,16713504,1,15140640,1,12781344,3,16713504,11,1824,1,6686496,1,4327200,1,3933984,10,1824,1,16713539,1,16713589,1,16713586,1,10028914,1,12388197,1,12781422,1,16713588,1,16713504,1,1908,1,1897,1,1901,1,1893,1,1824,1,1897,1,1907,1,1824,1,1841,1,1967925,1,1705786,1,7866161,1,13371189,1,13371194,1,1841,1,1843,1,1838,1,1848,1,1844,6,1824,1,3933984,2,6686496,2,1574688,11,1824,2,4130592,2,3147552,1,15730464,11,1824,2,8324896,2,6489888,1,15140640,1,12584736,9,1824,1,1861,1,1902,1,1574772,1,3934053,1,3934066,1,1574688,1,1902,1,1893,1,1911,1,1824,1,1908,1,1897,1,1901,1,1893,1,1850,2,1824,1,12584736,1,15730464,1,16647968,1,15730464,1,12584736,11,1824,1,395040,1,1967904,1,16647968,1,1967904,1,395040,11,1824,1,1574688,1,8259360,1,1574688,1,8259360,1,1574688,11,1824,5,6686496,11,1824,1,8324896,1,14354208,1,8062752,2,1771296,11,1824,1,12977952,1,3671840,1,12977952,1,7079712,1,788256,1,8128288,13,1824,2,16647968,11,1824,1,1574688,1,8259360,1,1574688,1,8259360,1,1574688,11,1824,1,1574688,1,8259360,3,1574688,11,1824,4,1574688,1,3933984,13,1824,2,788256,14,1824,2,6293280,14,1824,2,12584736,14,1824,2,6686496,11,1824,1,1876,1,1896,1,1050469,1,3671840,1,8128323,1,16648015,1,1869,1,1872,1,1857,1,1873,1,1824,1,1872,1,1893,1,1906,1,1907,1,1903,1,1902,1,1889,1,16648044,1,8128288,1,3671875,1,1050479,1,1901,1,1904,1,1909,1,1908,1,1893,1,1906,1,1824,1,1869,1,1875,1,1837,1,1860,1,1871,1,1875,14,1824,1,1574688,1,3933984,3,1574688,11,1824,1,6686496,1,2361120,13,1824,1,1878,1,1893,1,7079794,1,7079795,1,7079785,1,7079791,1,1902,1,1824,1,1843,1,1838,1,1841,1,1840,4,1824,1,1574688,1,8128288,1,12715808,1,8128288,1,395040,1,12977952,1,1574688,11,1824,1,12715808,1,788256,1,3147552,1,12977952,11,1824,1,3671840,1,7079712,1,7735072,2,13371168,11,1824,1,3147552,1,6293280,14,1824,1,788256,3,3147552,1,1574688,11,1824,1,3147552,3,788256,1,1574688,13,1824,2,3933984,14,1824,2,1574688,16,1824,1,1574688,1,3147552,9,1824,1,1832,1,1859,1,1833,1,1824,1,1859,1,1903,1,1904,1,1913,1,1906,1,1897,1,1895,1,1896,1,1908,1,1824,1,1859,1,1871,1,1869,1,1872,1,1857,1,1873,1,1824,1,1574723,1,1903,1,1901,1,1904,1,1909,1,1908,1,1893,1,1906,1,1824,1,1859,1,1903,1,1906,1,1904,1,132910,1,788256,1,3147569,1,12584761,1,1848,1,1842,1,1836,1,1848,1,1843,1,1836,1,1848,1,1844,1,1836,1,1848,1,1845,1,3933984,1,12781344,1,14354208,1,12781344,1,6686496,11,1824,1,1574688,1,7866144,3,1574688,10,1824,1,1832,1,8128323,1,395049,1,1574688,1,6293315,1,12978031,1,1904,1,1913,1,1906,1,1897,1,1895,1,1896,1,1908,1,1824,1,1869,1,1897,1,1891,1,8128370,1,395119,1,3934067,1,395119,1,12978022,1,1908,1,1824,1,1859,1,1903,1,1906,1,1904,1,1838,1,1824,1,1841,1,1849,1,1848,1,788273,1,3933996,1,13371192,1,788274,1,788268,1,1848,1,1843,1,1836,1,1848,1,1844,1,1836,1,1848,1,1845,3,1824,1,16647968,1,12584736,1,16516896,1,395040,1,12977952,11,1824,1,3671840,1,12584736,1,16516896,2,12977952,11,1824,1,16647968,1,395040,1,788256,2,3147552,11,1824,1,8128288,1,12977952,1,8128288,2,12977952,11,1824,1,8128288,1,12977952,1,8259360,1,395040,1,788256,12,1824,1,1574688,2,1824,1,1574688,12,1824,1,1574688,2,1824,1,1574688,10,1824,1,1859,1,1854,1,788324,1,3147625,1,3147634,1,788256,14,1824,1,8259360,13,1824,1,3147552,2,788256,1,3147552,11,1824,1,8128288,1,12977952,3,1574688,12,1824,1,12977952,2,14550816,1,12584736,11,1824,1,1050400,1,7079712,3,12977952,11,1824,1,16516896,1,6686496,1,8128288,2,6686496,11,1824,1,3933984,1,12715808,2,12584736,1,6686496,11,1824,1,16254752,3,6686496,1,7079712,11,1824,1,16647968,1,6424352,1,7866144,1,6293280,1,6686496,11,1824,1,16648022,1,6424431,1,7866220,1,6293365,1,6293357,1,1893,1,1824,1,1897,1,1902,1,1824,1,1892,1,1906,1,1897,1,1910,1,1893,1,1824,1,3934019,1,12715808,1,12584808,1,12978017,1,6686579,1,1824,1,1902,1,1903,1,1824,1,1900,1,1889,1,1890,1,1893,1,1900,2,1824,2,12977952,1,16647968,2,12977952,11,1824,1,3933984,4,1574688,11,1824,1,1967904,2,788256,2,13371168,11,1824,1,15075140,1,6686569,1,7866226,1,7079781,1,6686563,1,1908,1,1903,1,1906,1,1913,1,1824,1,1903,1,1894,2,1824,1,1859,1,1850,1,15730524,3,6293280,1,6686496,11,1824,1,12781344,1,16713504,1,14354208,2,12781344,11,1824,1,12977952,1,16123680,1,14550816,2,12977952,11,1824,1,8128288,4,12977952,11,1824,1,16516896,1,6686496,1,8128288,2,6293280,11,1824,1,8128288,3,12977952,1,14550816,1,788256,10,1824,1,16516896,1,6686496,1,8128288,2,6686496,11,1824,1,8128288,1,12977952,1,3671840,1,395040,1,12977952,11,1824,1,16713504,1,10028832,3,1574688,10,1824,1,1859,1,12977999,2,12977997,1,12977985,1,12977998,1,1860,2,1824,1,1859,1,1871,1,1869,4,1824,1,1842,1,12781363,1,12781362,1,12781361,1,12781360,1,3933984,1,1824,1,1841,1,1840,1,1837,1,1843,1,1841,1,1837,1,1848,1,1846,2,1824,1,12781361,1,12781362,1,12781370,1,14354224,1,6686512,1,1904,10,1824,1,12781344,1,6686496,1,1574688,1,3933984,1,12781344,11,1824,2,12781344,1,3933984,2,1574688,10,1824,1,1879,1,16713545,1,8783694,1,1574707,1,6293304,1,12781366,7,1824,1,1852,1,1860,1,1865,1,1874,1,3934014,4,3147552,2,1824,1,1843,1,1837,1,1841,1,1840,1,1837,1,1841,1,1846,2,1824,1,1841,1,12584754,1,7341882,1,1836850,1,395057,1,1904,10,1824,1,3933984,4,788256,10,1824,1,1050400,1,7079712,22,1824,1,1842,1,1824,1,1862,1,1897,1,1900,1,1893,1,1832,1,1907,1,3147561,1,1574688,1,1824,1,1841,1,1849,2,1845,1,1840,1,1842,1,1840,1,1848,1,1824,1,1890,1,1913,1,1908,1,1893,1,1907,1,1824,1,1894,1,788338,2,13371237,11,1824,1,14681888,1,6293280,1,7079712,2,6686496,13,1824,1,12977952,1,12584736,1,12977952,11,1824,1,1836832,1,788256,1,7079712,2,13371168,13,1824,1,12977952,1,12584736,1,12977952,11,1824,1,3671840,1,6555424,1,15730464,2,6293280,13,1824,3,13371168,1,788256,1,7866144,9,1824,1,14681888,1,6293280,1,7735072,2,6686496,10,1824,1,1859,1,1574718,1,1891,1,1574756,1,1574688,1,1574775,1,1897,1,1902,1,1843,1,1848,1,1846,6,1824,1,395040,1,1824,3,395040,1,6686496,1,3933984,9,1824,1,14681888,1,6293280,1,7079712,1,7866144,1,6686496,11,1824,1,3671840,4,1574688,13,1824,1,16713504,2,14354208,13,1824,3,6686496,13,1824,3,12977952,13,1824,3,6686496,1,6293280,1,15730464,11,1824,3,13371168,1,788256,1,1967904,11,1824,1,7735072,2,6293280,10,1824,1,1859,1,1854,1,1824,1,12977952,1,3671840,1,12977952,11,1824,1,1050400,3,3147552,1,3540768,13,1824,3,13371168,13,1824,2,12781344,1,3933984,13,1824,1,12781344,1,14354208,1,16713504,13,1824,1,6686496,1,1574688,1,6686496,13,1824,3,12977952,1,395040,1,16254752,11,1824,1,13371168,1,3147552,1,12977952,11,1824,1,919328,1,1574688,1,7341856,2,1574688,11,1824,2,1574688,1,1824,2,1574688,11,1824,1,7341856,1,1574688,1,919328,2,1574688,11,1824,1,7735072,16,1824,1,1050400,1,7079712,1,12977952,1,16647968,11,1824,1,3933984,1,12715808,1,12584736,1,12715808,1,3933984,1,395040,10,1824,1,13371168,1,1824,3,13371168,11,1824,1,1574688,1,1824,1,12977952,1,12584736,1,12977952,11,1824,1,3671840,1,1824,1,788256,2,13371168,11,1824,1,13371168,1,1824,1,788256,2,13371168,11,1824,1,3147552,1,1824,1,788256,2,13371168,11,1824,1,7079712,1,1824,1,788256,2,13371168,12,1824,1,3933984,1,6293280,1,6686496,1,788256,1,3933984,10,1824,1,3671840,1,1824,1,12977952,1,12584736,1,12977952,11,1824,1,12977952,1,1824,1,12977952,1,12584736,1,12977952,11,1824,1,3147552,1,1824,1,12977952,1,12584736,1,12977952,11,1824,1,6686496,1,1824,3,1574688,11,1824,1,3933984,1,1824,3,1574688,11,1824,1,3147552,1,1824,3,1574688,12,1824,1,3671840,1,12977952,1,16647968,1,12977952,10,1824,3,3671840,1,12977952,1,16647968,1,12977952,10,1824,1,1574688,1,6293280,1,16647968,2,6293280,1,6686496,13,1824,1,3868448,1,8259360,1,14419744,11,1824,1,4065056,1,13371168,1,16647968,2,13371168,11,1824,1,3671840,1,1824,3,12977952,11,1824,1,12977952,1,1824,3,12977952,11,1824,1,3147552,1,1824,3,12977952,11,1824,1,7866144,1,1824,3,13371168,11,1824,1,3147552,1,1824,3,13371168,11,1824,1,12977952,1,1824,3,12977952,1,395040,1,7866144,10,1824,4,12977952,12,1824,4,12977952,11,1824,1,1574688,1,12781344,1,12584736,1,12781344,1,1574688,11,1824,1,7079712,3,6293280,1,15075104,11,1824,1,12781344,1,3933984,2,16713504,1,1574688,11,1824,1,6686496,1,8128288,3,6686496,11,1824,1,1771296,1,1574688,1,8259360,2,1574688,1,14157600,10,1824,1,3147552,1,1824,1,788256,2,13371168,11,1824,1,1574688,1,1824,3,1574688,11,1824,1,3147552,1,1824,3,12977952,11,1824,1,3147552,1,1824,3,13371168,11,1824,1,7735072,1,1824,3,6686496,10,1824,1,7735072,1,1824,1,15075104,1,16647968,1,13502240,1,12977952,11,1824,1,7079712,1,4065056,1,8259360,13,1824,1,7079712,1,3671840,1,8128288,13,1824,1,3147552,1,1824,1,3147552,1,12584736,1,12977952,13,1824,1,16647968,2,12584736,13,1824,1,16647968,2,395040,11,1824,1,12584736,1,12977952,1,1574688,1,6293280,1,10159904,1,788256,10,1824,1,12584736,1,12977952,1,1574688,1,6686496,1,9832224,1,395040,10,1824,1,1574688,1,1824,1,1574688,2,3933984,13,1824,2,7079712,14,1824,2,7079712,11,1824,8,1115936,8,1824,8,5572384,8,1824,8,14485280,8,1824,8,1574688,8,1824,8,1574688,8,1824,8,1574688,8,1824,8,3540768,12,1824,4,3540768,11,1824,5,1574688,8,1824,3,3540768,1,395040,4,3540768,8,1824,8,3540768,11,1824,1,395040,4,3540768,8,1824,3,3540768,1,395040,12,1824,4,3540768,12,1824,4,1574688,16,1824,4,1574688,8,1824,4,1574688,12,1824,4,1574688,16,1824,4,1574688,8,1824,8,1574688,24,1824,8,1574688,8,1824,8,1574688,8,1824,8,3540768,8,1824,3,3540768,1,3147552,15,1824,1,3147552,4,3540768,8,1824,3,3540768,17,1824,4,3540768,8,1824,3,3540768,1,3147552,4,3540768,24,1824,3,3540768,1,1824,4,3540768,8,1824,3,1574688,13,1824,4,3540768,16,1824,4,1574688,12,1824,4,3540768,8,1824,4,3540768,12,1824,4,1574688,15,1824,5,1574688,12,1824,4,3540768,8,1824,8,3540768,8,1824,8,1574688,8,1824,4,1574688,16,1824,4,1574688,8,1824,8,16713504,12,1824,4,16713504,8,1824,8,15730464,8,1824,8,984864,8,1824,4,16713504,15,1824,1,14419744,1,14157600,1,14419744,11,1824,1,7866144,1,13371168,1,14157600,2,12977952,11,1824,1,16647968,1,12977952,3,12584736,12,1824,1,16647968,3,7079712,12,1824,1,12977952,2,3147552,1,12977952,13,1824,3,14157600,12,1824,3,6686496,1,6293280,1,12584736,11,1824,1,7735072,3,1574688,12,1824,1,1574688,2,6686496,1,1574688,12,1824,1,7079712,2,12977952,1,7079712,11,1824,1,3671840,2,12977952,2,7079712,11,1824,1,1967904,1,1574688,1,4065056,2,6686496,13,1824,2,14354208,13,1824,1,395040,1,14354208,1,15927072,1,6293280,11,1824,1,1836832,1,6293280,1,8128288,1,6293280,1,3147552,12,1824,4,12977952,12,1824,1,16647968,2,1824,1,16647968,12,1824,1,1574688,1,8259360,1,1574688,13,1824,1,1574688,1,395040,1,1574688,13,1824,1,1574688,1,6293280,1,1574688,12,1824,1,919328,1,1771296,5,1574688,8,1824,4,1574688,2,14157600,12,1824,1,1574688,2,1824,1,1574688,13,1824,1,14419744,1,7735072,12,1824,1,7079712,1,3671840,17,1824,1,1574688,15,1824,1,1574688,12,1824,3,788256,1,7079712,1,3933984,11,1824,3,7079712,13,1824,1,14157600,1,6293280,1,16254752,14,1824,4,8128288,12314,1824,16384,0,17,0,2,8454144,1,12386304,1,8454144,1,8257536,11,0,2,16711680,1,12779520,1,16711680,1,8257536,12,0,2,16646144,1,8126464,1,1048576,12,0,1,3670016,1,16646144,1,3670016,12,0,1,1572864,1,3932160,1,15138816,1,1572864,1,3932160,11,0,1,1572864,1,8257536,1,16711680,1,1572864,1,3932160,13,0,1,3932160,1,1572864,11,0,3,16711680,1,12779520,1,15138816,3,16711680,10,0,1,3932160,1,4325376,1,6684672,11,0,2,16711680,1,12779520,1,12386304,1,10027008,3,16711680,9,0,1,917504,1,3276800,2,13369344,1,7864320,11,0,2,6684672,1,3932160,1,8257536,1,1572864,11,0,1,3342336,2,3145728,1,7340032,1,14680064,11,0,3,6488064,1,6750208,1,15073280,11,0,1,1572864,1,14352384,1,15138816,1,14352384,1,1572864,10,0,1,8388608,1,14680064,2,16252928,1,14680064,1,8388608,10,0,1,131072,1,917504,2,4063232,1,917504,1,131072,11,0,1,3932160,2,1572864,1,3932160,12,0,3,6684672,1,0,1,6684672,11,0,2,14352384,3,1769472,10,0,1,8126464,1,6291456,1,7077888,1,12976128,1,3670016,1,12976128,14,0,2,16646144,11,0,1,3932160,2,1572864,1,3932160,1,8257536,11,0,1,3932160,4,1572864,11,0,3,1572864,1,8257536,1,1572864,12,0,1,1572864,1,16646144,1,1572864,13,0,1,3145728,1,16646144,1,3145728,14,0,1,12582912,1,16646144,13,0,1,2359296,1,16711680,1,2359296,13,0,1,3670016,1,8126464,1,16646144,13,0,1,16646144,1,8126464,1,3670016,28,0,2,3932160,1,1572864,1,0,1,1572864,10,0,2,6684672,15,0,1,7077888,1,16646144,1,7077888,1,16646144,1,7077888,10,0,1,1572864,1,12976128,1,12582912,1,393216,1,8781824,1,8126464,1,1572864,11,0,1,12976128,1,1572864,1,6291456,1,8781824,11,0,1,7077888,1,3670016,1,14417920,1,13369344,1,7733248,10,0,2,3145728,15,0,1,1572864,3,3145728,1,786432,11,0,1,1572864,3,786432,1,3145728,12,0,1,6684672,1,16711680,1,6684672,13,0,1,1572864,1,8257536,1,1572864,15,0,2,1572864,13,0,1,16646144,17,0,1,1572864,12,0,1,393216,1,1572864,1,6291456,1,8388608,11,0,1,6684672,1,12779520,1,14352384,1,12779520,1,3932160,11,0,1,3670016,3,1572864,1,8257536,11,0,1,12976128,1,786432,1,3145728,1,12582912,1,16646144,11,0,1,12976128,3,393216,1,8126464,11,0,1,1835008,1,7077888,1,16646144,1,786432,1,1966080,11,0,2,12582912,2,393216,1,8126464,11,0,1,6291456,1,12582912,2,12976128,1,8126464,11,0,1,12976128,1,393216,1,1572864,2,3145728,11,0,4,12976128,1,8126464,11,0,2,12976128,2,393216,1,7864320,12,0,1,1572864,1,0,1,1572864,13,0,1,1572864,1,0,1,1572864,1,3145728,11,0,1,393216,1,1572864,1,6291456,1,1572864,1,393216,12,0,1,8257536,14,0,1,6291456,1,1572864,1,393216,1,1572864,1,6291456,11,0,1,12976128,1,786432,1,1572864,1,0,1,1572864,11,0,1,8126464,1,12976128,1,14548992,1,14417920,1,8126464,11,0,1,3670016,1,12976128,1,16646144,2,12976128,11,0,4,6684672,1,16515072,11,0,1,6684672,2,12582912,1,12713984,1,3932160,11,0,1,7077888,3,6684672,1,16252928,11,0,1,6684672,2,6815744,1,6422528,1,16646144,11,0,1,6684672,2,6815744,1,6291456,1,15728640,11,0,1,6684672,1,12582912,1,14548992,1,12976128,1,3801088,11,0,5,12976128,11,0,4,1572864,1,3932160,11,0,3,786432,1,13369344,1,7864320,11,0,1,6684672,1,7077888,1,7864320,1,6684672,1,15073280,11,0,3,6291456,1,6422528,1,16646144,11,0,1,15138816,1,16711680,3,12779520,11,0,1,15073280,1,16646144,1,13500416,2,12976128,11,0,4,12976128,1,8126464,11,0,2,6684672,2,6291456,1,15728640,11,0,3,12976128,1,14024704,1,8126464,1,917504,10,0,2,6684672,1,7077888,1,6684672,1,15073280,11,0,1,12976128,1,6291456,1,786432,1,12976128,1,8126464,11,0,1,14352384,3,1572864,1,3932160,11,0,4,12976128,1,8126464,11,0,3,12779520,1,6684672,1,1572864,11,0,2,12779520,1,14352384,1,16711680,1,6684672,11,0,1,12779520,1,3932160,1,1572864,1,6684672,1,12779520,11,0,1,12779520,1,6684672,2,1572864,1,3932160,11,0,1,12779520,1,786432,1,3145728,1,12648448,1,16711680,11,0,4,3145728,1,3932160,11,0,1,8388608,1,14680064,1,3670016,1,917504,1,131072,11,0,4,786432,1,3932160,10,0,1,3670016,1,12976128,20,0,1,16711680,9,0,1,3145728,17,0,1,7864320,1,8126464,1,13369344,1,7733248,11,0,1,6291456,1,7864320,2,6684672,1,8126464,12,0,1,8126464,2,12582912,1,8126464,11,0,1,786432,1,3932160,2,13369344,1,7733248,12,0,1,8126464,1,16646144,1,12582912,1,8126464,11,0,1,7077888,3,6291456,1,15728640,12,0,1,7733248,2,13369344,1,8126464,1,13369344,10,0,1,6291456,1,7077888,2,6684672,1,15073280,11,0,1,1572864,1,3670016,2,1572864,1,3932160,11,0,1,393216,1,917504,3,393216,1,6684672,10,0,1,6291456,1,6684672,1,7864320,1,7077888,1,15073280,11,0,4,1572864,1,3932160,12,0,1,15073280,3,14352384,12,0,1,14417920,3,6684672,12,0,1,8126464,2,12976128,1,8126464,12,0,1,14417920,2,6684672,1,8126464,1,6291456,11,0,1,7733248,2,13369344,1,8126464,1,786432,11,0,1,14417920,1,6684672,1,6291456,1,15728640,12,0,1,8126464,1,6291456,1,786432,1,8126464,11,0,1,3145728,1,16515072,2,3145728,1,1835008,12,0,3,13369344,1,7733248,12,0,2,12779520,1,6684672,1,1572864,12,0,2,12779520,1,14352384,1,6684672,12,0,1,12779520,2,3932160,1,12779520,12,0,3,12976128,1,8257536,1,786432,11,0,1,16646144,1,1572864,1,6291456,1,16646144,11,0,4,1572864,1,917504,11,0,5,1572864,11,0,4,1572864,1,7340032,11,0,1,14417920,16,0,1,3670016,2,12976128,12,0,1,6684672,2,12582912,1,6684672,1,786432,1,8126464,11,0,3,13369344,1,7733248,10,0,1,786432,1,3145728,1,8126464,1,16646144,1,12582912,1,8126464,10,0,1,1048576,1,7077888,1,7864320,1,8126464,1,13369344,1,7733248,12,0,1,7864320,1,8126464,1,13369344,1,7733248,10,0,1,6291456,1,1572864,1,7864320,1,8126464,1,13369344,1,7733248,10,0,2,3670016,1,7864320,1,8126464,1,13369344,1,7733248,12,0,1,6684672,1,6291456,1,3932160,1,393216,10,0,1,1048576,1,7077888,1,8126464,1,16646144,1,12582912,1,8126464,12,0,1,8126464,1,16646144,1,12582912,1,8126464,10,0,1,6291456,1,1572864,1,8126464,1,16646144,1,12582912,1,8126464,12,0,1,3670016,2,1572864,1,3932160,10,0,1,1572864,1,6684672,1,3670016,2,1572864,1,3932160,10,0,1,6291456,1,1572864,1,3670016,2,1572864,1,3932160,10,0,1,12976128,1,1048576,1,7077888,3,12976128,10,0,1,7077888,1,0,1,7077888,3,12976128,10,0,1,3145728,1,0,1,6684672,1,8126464,1,6291456,1,16646144,12,0,1,7208960,1,1769472,1,14155776,1,7798784,11,0,1,7077888,3,13369344,1,13500416,10,0,1,1048576,1,7077888,1,8126464,2,12976128,1,8126464,12,0,1,8126464,2,12976128,1,8126464,10,0,1,6291456,1,1572864,1,8126464,2,12976128,1,8126464,10,0,1,3145728,4,13369344,1,7733248,10,0,1,6291456,1,1572864,3,13369344,1,7733248,12,0,3,12976128,1,8257536,1,786432,9,0,1,12976128,1,8126464,3,12976128,1,8126464,10,0,5,12976128,1,8126464,10,0,1,1572864,1,8257536,2,12582912,1,8257536,1,1572864,10,0,1,3670016,1,6553600,1,15728640,2,6291456,1,16515072,11,0,1,6684672,4,1572864,10,0,1,16515072,1,6684672,1,6422528,1,7274496,1,6684672,1,15925248,10,0,1,917504,5,1572864,1,7340032,9,0,1,1572864,1,6291456,1,7864320,1,8126464,1,13369344,1,7733248,10,0,1,786432,1,3145728,1,3670016,2,1572864,1,3932160,10,0,1,1572864,1,6291456,1,8126464,2,12976128,1,8126464,10,0,1,1572864,1,6291456,3,13369344,1,7733248,11,0,2,14417920,3,6684672,10,0,1,14417920,1,12976128,1,16121856,1,14548992,2,12976128,10,0,1,3932160,1,7077888,14,0,1,3670016,1,7077888,15,0,2,3145728,1,6291456,1,12976128,1,8126464,13,0,2,12582912,14,0,2,393216,11,0,1,12582912,1,12713984,1,13369344,1,3145728,1,13500416,1,393216,1,2031616,9,0,1,12582912,1,12713984,1,13369344,1,3145728,1,13500416,1,4063232,1,393216,10,0,3,1572864,1,3932160,1,1572864,12,0,1,3538944,1,14155776,1,3538944,13,0,1,14155776,1,3538944,1,14155776,11,0,8,4456448,8,0,8,11141120,8,0,8,7798784,8,0,8,1572864,8,0,3,1572864,1,16252928,4,1572864,8,0,2,1572864,2,16252928,4,1572864,8,0,3,3538944,1,16121856,4,3538944,11,0,1,16646144,4,3538944,10,0,2,16252928,4,1572864,8,0,2,3538944,2,16121856,4,3538944,8,0,8,3538944,10,0,1,16646144,1,16121856,4,3538944,8,0,2,3538944,1,16121856,1,16646144,12,0,3,3538944,1,16646144,12,0,2,1572864,2,16252928,15,0,1,16252928,4,1572864,8,0,3,1572864,1,2031616,12,0,3,1572864,1,16711680,15,0,1,16711680,4,1572864,8,0,3,1572864,1,2031616,4,1572864,11,0,1,16711680,12,0,3,1572864,1,16711680,4,1572864,8,0,2,1572864,2,2031616,4,1572864,8,0,3,3538944,1,3604480,4,3538944,8,0,2,3538944,1,3604480,1,4128768,14,0,1,4128768,1,3604480,4,3538944,8,0,2,3538944,1,16187392,1,16711680,14,0,1,16711680,1,16187392,4,3538944,8,0,2,3538944,2,3604480,4,3538944,10,0,2,16711680,12,0,2,3538944,2,16187392,4,3538944,8,0,2,1572864,2,16711680,12,0,3,3538944,1,16711680,14,0,2,16711680,4,1572864,11,0,1,16711680,4,3538944,8,0,3,3538944,1,4128768,12,0,2,1572864,2,2031616,14,0,2,2031616,4,1572864,11,0,1,4128768,4,3538944,8,0,3,3538944,1,16711680,4,3538944,8,0,2,1572864,2,16711680,4,1572864,8,0,3,1572864,1,16252928,15,0,1,2031616,4,1572864,8,0,8,16711680,11,0,5,16711680,8,0,8,15728640,8,0,8,983040,8,0,3,16711680,15,0,1,7733248,2,14155776,1,7733248,11,0,3,13369344,1,12976128,1,13369344,11,0,1,12976128,4,12582912,12,0,4,7077888,11,0,1,16646144,1,6291456,1,1572864,1,6291456,1,16646144,12,0,1,8257536,2,14155776,1,7340032,12,0,2,6684672,1,8126464,1,6291456,12,0,1,14417920,3,1572864,11,0,1,8257536,1,3932160,1,6684672,1,3932160,1,8257536,11,0,1,3670016,1,12976128,1,16646144,1,12976128,1,3670016,11,0,1,7077888,1,12976128,2,7077888,1,15597568,11,0,1,3145728,1,786432,2,6684672,1,3932160,12,0,1,8257536,1,14352384,1,8257536,12,0,1,196608,1,8257536,1,14352384,1,8257536,1,12582912,11,0,1,3145728,3,6291456,1,1835008,11,0,1,8126464,4,12976128,13,0,1,16646144,14,0,2,1572864,1,0,1,16711680,11,0,1,3145728,2,786432,1,3145728,1,8257536,11,0,1,786432,2,3145728,1,786432,1,8257536,11,0,1,1769472,6,1572864,8,0,4,1572864,1,14155776,1,7340032,12,0,1,1572864,1,8257536,1,1572864,13,0,1,7733248,1,0,1,14417920,11,0,1,3670016,1,7077888,17,0,1,1572864,28,0,1,983040,2,786432,1,15466496,1,7077888,1,1835008,10,0,1,14155776,2,7077888,13,0,1,7340032,1,3145728,1,13107200,15,0,3,8126464,28699,0],-2147478512,0,65535,0,-1,0,-1,0,0,0,0,1,255,64,0,0,[0,172032,2688,174720,42,172074,2730,174762,86016,258048,88704,260736,86058,258090,88746,260778,1344,173376,4032,176064,1386,173418,4074,176106,87360,259392,90048,262080,87402,259434,90090,262122,21,172053,2709,174741,63,172095,2751,174783,86037,258069,88725,260757,86079,258111,88767,260799,1365,173397,4053,176085,1407,173439,4095,176127,87381,259413,90069,262101,87423,259455,90111,262143,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],0],"parms":{"id":"deskpro386.videoVGA","name":"","model":"vga","mode":7,"screenWidth":1280,"screenHeight":960,"memory":0,"switches":"","scale":true,"charCols":80,"charRows":25,"fontROM":"","screenColor":"black","touchScreen":"mouse","autoLock":true}},"deskpro386.com1":{"0":[0,0,48,0,1,3,0,96,48,[]],"parms":{"id":"deskpro386.com1","name":"","adapter":1,"binding":"","tabSize":0,"charBOL":0}},"deskpro386.com2":{"0":[0,0,48,0,1,3,0,96,48,[]],"parms":{"id":"deskpro386.com2","name":"","adapter":2,"binding":"print","tabSize":0,"charBOL":0}},"deskpro386.mouse":{"0":[false,-1,-1,0,0,false,false,0],"parms":{"id":"deskpro386.mouse","name":"","serial":"com1"}},"deskpro386.fdcNEC":{"0":[1,0,128,[3,223,2,null,null,null,null,null,null],0,0,12,[[192,["Floppy Drive",80,2,15,512,true,80,2,15],0,102,0,null,null,null,null,false,null,""],[192,["Floppy Drive",80,2,15,512,true,80,2,15],0,102,0,null,null,null,null,false,null,""],[192,["Floppy Drive",40,2,9,512,true,40,2,9],0,102,0,null,null,null,null,false,null,""],[192,["Floppy Drive",40,2,9,512,true,40,2,9],0,102,0,null,null,null,null,false,null,""]],[],0,0],"parms":{"id":"deskpro386.fdcNEC","name":"","autoMount":"{A: {name: \"COMPAQ MS-DOS 3.10 (Disk 1)\", path: \"/disks/pc/dos/compaq/3.10/COMPAQ-DOS310-DISK1.json\"}, B: {name: \"COMPAQ MS-DOS 3.10 (Disk 2)\", path: \"/disks/pc/dos/compaq/3.10/COMPAQ-DOS310-DISK2.json\"}}"}},"deskpro386.hdcAT":{"0":[0,32,0,2,0,0,161,80,32,[0,0],[[0,0,false,[null,null,null,null,null,null,null,null],null,1,4,0,3,null,0,512,[["/disks/pc/fixed/20mb/COMPAQ310-WIN386201-VGA.json",-2030506118,615,4,17,512]]]]],"parms":{"id":"deskpro386.hdcAT","name":"","drives":"[{name:\"20Mb Hard Disk\",type:2,path:\"/disks/pc/fixed/20mb/PCDOS330-EMPTY.json\"}]","type":"at"}},"deskpro386.debugger":{"0":[19993,366,25849,false,false,false,0,true],"1":[0,null,null,false,null,null,null,null],"2":[["d state"],false,1073741872],"3":[],"parms":{"id":"deskpro386.debugger","name":"","commands":"","messages":"fault|int"}}}