diff --git a/devices/pcx86/machine/5150/cga/256kb/debugger/machine.xml b/devices/pcx86/machine/5150/cga/256kb/debugger/machine.xml
index d0d690390..0f6b09865 100644
--- a/devices/pcx86/machine/5150/cga/256kb/debugger/machine.xml
+++ b/devices/pcx86/machine/5150/cga/256kb/debugger/machine.xml
@@ -2,15 +2,15 @@
 <?xml-stylesheet type="text/xsl" href="/versions/pcx86/1.35.0/machine.xsl"?>
 <machine id="ibm5150" type="pcx86" border="1" pos="center" background="white">
 	<name pos="center">IBM PC (Model 5150), CGA, 256K, Debugger</name>
-	<computer id="pc-cga-256k" name="IBM PC" resume="1"/>
+	<computer id="pc-cga-256k" name="IBM PC"/>
 	<cpu id="cpu8088" model="8088"/>
-	<debugger id="debugger"/>
 	<ram id="ramLow" addr="0x00000" test="false" comment="no memory test"/>
 	<rom id="romBASIC" addr="0xf6000" size="0x8000" file="/devices/pcx86/rom/5150/basic/BASIC100.json"/>
 	<rom id="romBIOS" addr="0xfe000" size="0x2000" file="/devices/pcx86/rom/5150/1981-04-24/PCBIOS-REV1.json"/>
 	<video ref="/devices/pcx86/video/ibm/cga/ibm-cga.xml"/>
 	<fdc ref="/disks/pcx86/compiled/library.xml"/>
 	<keyboard ref="/devices/pcx86/keyboard/us83-buttons-minimal.xml"/>
+	<debugger id="debugger"/>
 	<panel ref="/devices/pcx86/panel/wide.xml"/>
 	<chipset id="chipset" model="5150" sw1="01001001" sw2="10011000" pos="left" padLeft="8px" padBottom="8px">
 		<control type="switches" label="SW1" binding="sw1" left="0px"/>
diff --git a/devices/pcx86/machine/5150/cga/256kb/machine.xml b/devices/pcx86/machine/5150/cga/256kb/machine.xml
index c229f04db..1bf512b0a 100644
--- a/devices/pcx86/machine/5150/cga/256kb/machine.xml
+++ b/devices/pcx86/machine/5150/cga/256kb/machine.xml
@@ -2,7 +2,7 @@
 <?xml-stylesheet type="text/xsl" href="/versions/pcx86/1.35.0/machine.xsl"?>
 <machine id="ibm5150" type="pcx86" border="1" pos="center" background="white">
 	<name pos="center">IBM PC (Model 5150), CGA, 256K</name>
-	<computer id="pc-cga-256k" name="IBM PC"/>
+	<computer id="pc-cga-256k" name="IBM PC" resume="1"/>
 	<cpu id="cpu8088" model="8088"/>
 	<ram id="ramLow" addr="0x00000" test="false" comment="no memory test"/>
 	<rom id="romBASIC" addr="0xf6000" size="0x8000" file="/devices/pcx86/rom/5150/basic/BASIC100.json"/>
diff --git a/devices/pcx86/machine/5150/cga/64kb/donkey/state.json b/devices/pcx86/machine/5150/cga/64kb/donkey/state.json
index 9a8f535fc..f1789fc4d 100644
--- a/devices/pcx86/machine/5150/cga/64kb/donkey/state.json
+++ b/devices/pcx86/machine/5150/cga/64kb/donkey/state.json
@@ -1 +1 @@
-{"timestamp":"2013-02-02 10:53:08","version":"1.06","ibm5150.cpu8088":{"0":[61,4136,0,1120,39708,7076,9,7076],"1":[3835,62976,1613,1613,1613,62022],"2":[25808,25808,0,0,0,-1,-1],"3":[1,306291588],"4":[0,[6291607,6291620,-268377405,6291620,6291620,-268370092,0,0,-268370267,49746828,0,49756524,49756524,0,-268374185,0,-268373915,-268371891,-268371903,1408,-268376263,-268371879,-268376018,-268374062,-167772160,-268376334,-268370322,49746934,49747136,-268373852,-268374073,0,11599889,11599893,45154628,45154567,49743235,6291477,6291480,45154695,0,0,0,0,0,0,0,0,-1325392406,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,49742170,49743184,49742170,49743841,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742678,49742170,49742798,49743302,49742938,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742986,49742962,49742170,49742170,49742566,49742170,49742170,49742170,49742170,49746364,49746531,49742170,49743600,49743553,49742170,49742170,49743260,49742170,49742170,49742170,49742170,49745049,49742170,49743488,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49743793,49743608,49743321,49743341,49743375,49743429,49743799,49743824,49743471,49743540,49742170,49743450,49743463,49743419,49743620,49743697,49752091,49752159,49742170,49742170,-268375673,-268370267,0,0,-18153472,-226234368,-65280,-294846400,-226299904,6,4194305,60529,4514999,4194304,2080374785,-268376291,324246,0,0,0,0,1073741933,0,3538944,958398518,409935972,627781998,360256101,811742254,527638113,527637517,778245993,73313,142,117448704,2621698,2048,5888,0,0,0,-738187513,840968195,268435702,765,305397760,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-11336115,9498624,26935392,689,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-329706517,61440,0,0,0,66880000,-13761164,1342538286,509040209,46726662,-1090056511,521012618,7878341,-67105863,521053427,-1593471326,-2036137864,8036613,-955938653,-1979680762,2047773701,1595868928,-1671931554,-2111897810,508599301,-2036261106,7906053,-1559918431,1478426746,182941,0,0,-385785111,-1293352851,14215424,-385816343,988348708,55699713,-385658135,11600196,1229062178,1444959055,1769173605,824209007,-1607454674,1244475954,942500981,168624177,544503119,1881171567,-228233119,218106381,1769099274,1919251566,1969317408,168686700,1091177728,1226864757,1696616239,-227577230,771754509,167995040,1377072576,-855526254,1024029718,74805760,-1073082192,-883235190,1711719982,-70319357,-1514515888,8710144,600660058,1141509583,1684633193,1986994277,1818653285,168687471,-1336241664,109456896,-1073085594,-1840112267,382533812,-378224629,1970405437,1007726594,772109568,57026184,-883235190,1448300629,772715607,-855636037,1532911376,1355504984,113651282,-1174404251,11796480,1052383181,549778944,1337593973,96794112,-2144466060,16999734,65593717,-883402240,-1406209401,125075236,1610671258,-2014057728,1347601394,-1275068230,-1173041918,-990511007,-402426866,-1973747750,1355504358,-1174293422,348979200,1954596086,6404804,11844843,-930284853,-795944818,-83663428,332260402,349021104,399311284,-1071312435,375040,33941715,402688,37494644,-523171979,57149126,45529857,130537475,-2017001472,2,-1247614767,12066306,-1193767424,1856176224,1812383488,-956264448,-1761607674,172800,-1996446533,-1560280034,512294918,245563404,270436608,1221376,-1912581960,444376,100663296,-1912557128,327727552,14727420,-13379442,-1510738037,-1245831417,39426,-1157955407,448004352,243999181,-377421818,-611581696,-661731188,-1274910278,169987343,-952732224,166406,-1945712896,-956301310,16938758,-853036032,1008657185,-1910868735,-1899786533,4242643,-1957642189,-1275035626,1394724122,1342243000,42908363,2063515112,1329791486,1312902477,1329799236,16783821,827136,33752064,419435264,1536,211754752,168624128,543449410,1830842991,1769173865,1126197102,1634561391,1226859630,1919251566,1952805488,168686181,46268928,706,0,33554432,33554689,20971584,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,34080768,1828732930,-2098200338,-234683150,-1322843901,1762434818,302026754,1610743808,1090695424,1174429698,242,-352144384,100905986,235347486,-47806177,-64583676,1748926468,863305987,-1896467682,-2032104738,520422438,561300538,-1572797358,-1480981309,-41621500,-1897057506,436651741,113647108,522060828,382533812,-1845448614,-151648074,-997800706,83862417,-947126090,-405674031,-405674031,-947782909,460456447,-271523961,-416644940,-533012597,-527826314,-389772720,710410317,-29068092,1409044680,-63012858,460587524,-1185811573,520487168,1707017998,-203453695,521034149,117469672,-1156191397,118358373,-1962908184,-1956968461,12145147,1504047873,1476577152,520094952,181139463,-1268288320,987834889,-1979549984,-997568288,1476410344,-456080342,-471073790,-855591785,175394323,-58669173,1476621440,118368235,-997537909,-1090516295,-1359870744,624010,83824267,83699339,-872872161,96338352,-64583168,332222468,676905586,33881862,150569160,-973208458,230883761,1936607498,544502373,1802725732,1702130789,1919903264,1769104416,1101030774,1851859002,1953701988,-445945486,1851853325,1701519481,1752637561,1914728037,-110861979,657933,270549120,50595849,100794626,67896332,202113032,1553922,0,0,0,0,-1324052503,1396395266,1077755452,1095912255,-352275391,771523102,11540854,777541839,363529871,777058972,363542271,1998911874,115444457,1448563998,1347637586,-1423537874,378285589,-863234643,-725822322,-2010186986,-1978303194,-788482084,-58524445,-1140621812,-13756460,-100630121,-1423537362,378416661,-326429267,1476413064,1582979419,119496031,604365775,202399761,1308693761,1108423441,1527852305,403606801,201383953,1494119694,251916035,1326282765,772154882,-2130403066,1493228802,-586296818,-587145971,-587145984,1040243968,-1861859834,504259085,1309814802,1913017862,571672081,-1106023149,-1023365101,-1014047949,436651558,-970580476,503585798,20766858,104600436,121376628,138152820,171706228,11535220,-12654141,-1710259736,6291471,1354926787,1477408232,1610617498,1580974848,-1927776500,-1947479752,-787909831,-772812305,-101723665,-410922031,1354960895,-4226892,69789711,-74726568,-570168367,-271458557,242433931,-489561391,-489561391,1042305,-410974997,-99880960,-1094500471,112399391,-1189771585,-1494024188,-251459468,-260715522,79283193,-215961600,-1963625042,339131331,-1210545449,1676198911,1392144897,583710,-389849337,-93191850,-661731188,1946139880,30992625,1912616936,-448823063,-208989580,-1189771585,-1494024181,2105674868,-160153601,1929401064,646628324,-722070127,-964484062,115638287,116846452,1962874282,2124530659,1178288149,-1555074296,78714238,-768352045,-757997359,-2147393909,-201858845,1720375947,1493580544,1392866324,1526922984,51893434,22414298,2118028227,2117814037,-1994951928,-2095743426,-633659197,-1057093006,47835218,399817562,1692976120,-389809917,-5177515,-130353038,113702004,-956361659,478930183,185759373,990409947,58133598,-401966104,-495714494,-402528024,-1070464205,8186051,-964462734,361938693,1912643560,-15144852,-8231054,-1100843777,-1648421498,440597,-2034260493,361938453,-1409283143,41238332,1135216522,96925154,-22026234,922695795,113710462,-60034,1493101032,652748915,-1090810881,196679046,-962268416,-15448826,-1089102402,112792966,-391777536,-1301020986,839039720,-1259813952,-1006653438,-1442396626,-930349035,-2034253682,-1393390827,363438638,-12844876,-1031599499,113672967,-1392548726,-1859745746,1959957,1015206258,-881526496,-402650183,91557544,1979260988,1914715326,-270357830,104345283,-126741434,-439249512,341552779,-29431613,-8216718,-1977191169,-1057095610,197624746,-1196703693,-1381302144,-1515859829,-1409792885,-1424654687,-1414806901,-1431584717,1569269443,-1010814442,360580807,1183514623,1808896,1183449184,291899904,-855765896,28632436,341116475,104521076,208999509,340985543,113704960,16716885,341378759,-1192689665,-806858752,175265793,1946633770,-371657034,-812973947,-922824445,-1662457995,21358848,-1950154576,-12745990,-947715211,394101255,-152210177,1962876485,-402289945,678625087,-1275050358,104541697,427103317,521018962,341182150,1360956160,112916,340989579,520197352,-43587494,2124499058,1161504277,641692950,-1994895989,1435182604,39094544,307596070,637817993,-1995156085,1541996116,293503489,-971475711,-402648762,1364328475,1390956627,1499158529,-19856550,-1326484024,1187431168,-5242863,122063555,-1978507635,11865678,-1023060341,256246680,-725888885,112919,-27465533,-2034291854,768277,-1359855696,-970055820,18196998,-270000558,-401247236,770244302,-448823043,1558718324,536245245,-1006653350,-8193675,-1958972161,991093516,225905742,-1915122861,31986294,-9181176],1,[-1090811045,96015750,-1510759424,-1441427040,112312371,-1847022605,-1070355699,-217665193,-1545055318,-128034048,1072258823,-1863823106,-1974446080,1503854694,-9902060,1476395752,7137475,-969999757,1422598,1006634472,-1007782911,62991255,1727484624,-670868991,1446707380,-32345595,253115332,-32869888,169229252,-33394176,786747588,364193290,1426081418,-1356429010,-1909523947,773172502,363538059,-1993464627,773172006,363665036,-728839028,-1356428498,1012792085,-1017482238,1426081418,-1705881261,6291477,1566269274,1158084291,-126550252,340068038,341417984,-1963011608,1398079558,412766801,1509974016,1935498079,113651419,-402582091,20774758,784589172,363542213,856972430,-1094676800,-2000748534,-1515870976,-1899459419,-390033704,-1070397409,-1391030534,-1423537387,-1093104107,-2134966136,1487250709,1582979419,119496031,788475643,820516224,50915334,686294763,73656326,17122787,13796096,1458060779,49342464,1323836907,72083456,1239948779,48293888,1105725163,71034880,363542213,-486257527,66822,637588099,639714697,170087816,637826294,-1960544888,645866696,-2145368696,-506363679,-980757807,-1993940342,-1607594939,-1178397262,-91553791,1979661698,130515715,-1960753781,868426581,-1308178743,-1017445355,-1962571184,-167047563,-2135030155,242583808,-1014047860,-611398772,1492941544,-24913550,-1241353664,-1106343680,364552981,364648073,364265097,340336267,364387977,363988678,-1291401728,-628424683,-895228169,-1014279659,56354551,13796291,-861710731,-1580168427,1586173386,1943223041,-1544292537,378082756,-796191288,-1576843742,-1047849551,-754692470,-1038710294,-1947797739,1225130952,13796116,1235294836,1977153300,-768391167,-1096550665,-957941995,34976262,199477387,-1022200179,363988678,1539912449,365470147,-1072965237,1177226612,735639297,50623448,-1545915453,-1014295090,1995952691,366125825,365958793,1569400515,1435182618,1960512284,1942629149,868877064,1569400530,-387587304,-8259216,-596439048,-498926713,1245823986,-1038709821,-1323398635,75425813,991278242,1964266262,341155848,1946175034,1443296832,376766228,780883282,512431191,28906577,1393986304,-36968428,116808285,1979651508,1360956172,112916,-47847342,1393985882,4622868,1436745908,1462667540,-1291401708,1049297173,-141879880,365825675,915009795,915084728,906171473,851645896,-8263488,1258720774,1944703252,-1510759423,-996031737,-995934187,-972670187,1996599317,-402608126,-142082209,118359582,340467342,24373713,128316324,1443284511,-154992364,-15355130,-1314904204,985726485,443941702,365043339,267975553,1988957555,-125376494,365051529,364906239,-1314783056,-104597483,1017818307,-972851955,171706884,192279520,856138728,1976110070,-1996420025,-1995159754,118863934,1049299317,-2144987722,-377481651,-1006239523,169101630,-32607013,-387942965,1017837598,-336011238,-1960898858,185878326,-2136050186,-2146108610,113706612,-8383237,-1168701871,2028475643,1493655301,-2112553538,-1921705412,-1331029328,121301002,-1679034829,1340721459,15198465,654147048,-2112463477,-1636499457,272993062,308120358,365561387,365698587,175495794,-730546165,41140539,216582283,-1039234050,-30545899,-1066022645,364910217,365043337,365837955,-402426880,1048837821,1946162642,-17569620,113652082,-1979640397,-1961512682,-1961504242,-401227234,1347879507,1260293662,-74848236,-480552673,-117735058,-1308069105,-1073283328,-1948194027,-1592412618,-125102664,340330027,-1960390093,-235467188,364774971,113648244,184620466,-971410222,51753478,-1912157653,-1827386618,-372129741,-206962317,1074238379,-24393589,638960289,-1592113783,-1993992768,-1163846587,-1139373291,1225253653,-763117309,-1581039360,-1073015344,-828139148,-28055531,113742194,5576,-335673112,918888070,-478145463,1960512127,1959525918,1976303120,440183840,-1565836,-336141818,-1092047852,-535151370,-1408570376,91494972,-502924312,243998710,1049302462,-1762978378,921225355,-401153027,292749819,363988678,364552449,364648075,364265099,8186307,-973010199,-402579899,-102171626,1166616071,1569400340,-32234,-1125611660,365601276,365696651,55171811,13796289,-1979615497,-388823986,1166747216,1435182608,24573714,24433163,365339456,-1039234216,-55449579,365043337,364910217,544522795,-1957592349,25290952,-1954188712,-1072264248,1950958101,-56104957,365043337,364910217,365837955,-1962445824,-401227234,-761135824,1958742805,-1006239438,-45094891,364054214,-1323922943,-1038185707,-770798827,11659285,-1910615977,-401323234,1495267961,-1308040357,-1073283328,-1578702059,-1073015344,-828174476,-48764907,365430471,-504889344,364421628,340330027,365561347,365696651,-1962880381,-1237414966,1161504277,1293624848,638087698,638600585,-1961732727,-384451058,-538313122,197692414,758871242,-628948991,24573696,-754692470,-389510168,451148763,1912650472,-1237414947,365601045,272992550,638962849,856835465,-4537399,18147343,17909446,-617357333,408782630,-713762037,-352256024,-1974250773,-1057094842,-1037377398,1989005707,47378,49617896,13992648,745785915,994296970,1273853179,365043337,-1957506773,23525313,364394123,-1197226493,727341077,-1071775270,300440341,-1008825600,-517289429,646499582,-896854607,-1974350101,1246364750,-754261293,1493849603,-2097509437,58064701,-1190672509,1166671873,206932768,-355344176,-494217008,11982474,1379205059,-1014279343,994300811,696126558,2130706749,-4564183,6088719,1522608984,54658191,56003266,-146669386,734563298,1997912590,-104254718,-194058045,2118650996,1709741001,-1828489996,-746077973,-2115452277,-489124876,268417715,-957057048,1526796614,1172855385,-2029744140,1979649019,-1237414965,1569269269,-768359656,1962160104,-389575688,-130157488,1926793999,501793773,-117472780,-1946782961,-386667553,963835016,1962934146,360620349,373655846,1053094795,-4713399,-1459209728,-1425443563,-1414807298,-1441427040,-33536374,-1180390720,-1510801403,179945523,-1532628224,1170679491,-1325400554,-1993948161,1053038173,-1070394295,82740138,548971941,244000,866823155,702912,-1012225037,-1946843672,1389327098,373656350,2124619534,-198383595,-2115412217,-200873729,-546111568,639747971,200101259,-1190955575,-1070399360,-8203725,1175745791,38046534,-1387204105,-770969097,1074033754,-1421737611,-1330986357,1090093824,-2010732173,-1993424091,773081366,340467340,-1899459389,1529777112,-173086700,-1978507635,-1057094842,1242322571,17909446,-989770101,-1995068618,1418265180,72124678,-1022473076,1260293166,-1899459564,1225181144,-1593802732,1537414237,341156116,460645386,-774337640,1571785699,1443284500,378208276,1371214931,112916,-1963491096,-1256962546,341687808,-1957277267,-167122712,-186492578,780873411,1183454299,-186072320,558205437,-2094836344,1933577853,611682544,-1962887485,-1608577318,-667282362,-472780173,341677963,341513865,-1899459389,-1242395712,-1073042176,-594873740,-1019544182,948045174,-1979550707,1255181021,339583022,339714606,343654230,-41228918,1827206538,1954495490,1946696758,1947024434,1946827845,1947745381,1947941990,1946172514,1945254432,-956388845,167864040,986936804,1188000763,-890517506,1994917808,-339481855,36563025,-1089687209,-1359871995,-773223585,-1493225755,-391507915,-2007039668,-956366987,-611531380,-577846386,-1978369090,-1012599858,837291440,-385175551,-202899156,-1333531649,19064924,-1513378,339714094,-385766168,-167051426,1323831668,92939776,124985404,292817212,167789544,168261092,-33327873,1307135695,-45131777,548458122,-486034605,158772750,25002534,-32934903,787669707,339680810,-889004502,-66592384,-948674725,-503314456,-20911109,145772494,-1342130200,11724832,-1377236816,-385830912,-880083165,132894506,-352309016,-1274957566,1962031616,1962621455,-391468021,-939655049,-337459458,989781993,-17206021,-706132281,518398,-117247741,-385954839,-880148169,393531178,102003785,-1957230818,-1359853570,125110111,-889007626,1573113642,-1325488151,4646976,503732063,536803816,-561357305,-151054615,-24188460,-1461118288,-1257324802,1309682447,806360847,-384845296,-552615921,-988822257,1931492367,1946762257,1588613133,1476397032,48971788,540852874,2134670706,-30538380,1343503622,1476402664,1610615194,116796928,1962873920,826001,1019412576,1008038928,-1022266365,1610613658,1022915584,-1695779565,6291462,1610614426,1947220992,1963146289,2107649762,1946827797,1963539460,-396578808,1810431908,-1909523714,773172502,363538059,1515805528,526212958,-383529721,-2144407749,18104374,1019461682,1008759821,1009087496,773747977,202653088,1373173496,11913354,548407267,-486580248,784554489,339543750,-10491648,1024392750,-11015916,1610613658,1946202112,-1006695195,1342179048,1493121000,-9377597,-1966867596,1979661506,236047,11534432,110817396,-1023385600,1610615194,-1031093504,-12785584,825944,-1950154656,607956210,-35063692,787934206,1948531884,-17635091,11728363,108314634,1946183656,11554555,1914715266,24936983,-401509062,1076625492,976095094,1981040134,1191162370,571818,-2113922072,24456764,244038,771756008,363536069,856192905,-1968460864,568902594,1008301056,1008039456,-1341754070,-1426896577,1060940353,-897580171,1189339649,-1426906960,615301966,1918975103,2004499462,1008741378,1022260256,1021998141,1021735980,1021473851,1021211694,1020949562,1020687394,1020425259,1020163119,1019901019,1019638877,-617364727,-661994610,-472783919,639076646,-1023254644,-986791282,-1911182538,-164424612,-2135294325,866513664,-1898344759,8961730,-1526723905,782607781,340594315,34507046,-2117457152,1980760057,268417283,721423547,-773729831,-773729823,-1982165279,-1996487154,-956299234,-855638010,84330016,-775710208,-773336601,-773336601,-773336601,1381090279,1435731,-1587979685,-523234238,-523181872,-523116336,339805706,-855591741,1958742554,1090913015,339845652,1117839498,318356244,1994402519,1093044451,339910676,1117962494,1980513300,1107740371,1134559508,-1564410348,52696131,41229488,-73219842,471843602,505355807,522067743,521019166,-1577080088,512431171,918885441,1552487851,129762566,839140489,-5192768,129821057,-108791950,183662455,183399670,-2098563886,-445182722,-25026802,-2113047294,-646504966,-1040838030,-1022528509,-105134454,-1036331246,-210567248,11817298,-396879155,110100357,-1070459839,-400617789,-1047789757,-489563509,-489565743,-754724399,-1181564653,-235411189,-1070344053,-745803273,-150943559,1694139121,-360578190,-628427420,11718865,1018811089,-1963854080,-2030962950,-1422473788,106727701,839140489,-5192768,1931017602,1022984952,-24972429,-2098302148,-378313478,-436847440,-1056767819,-1961398087,-1948125222,-161173304,-2084043801,11993298,-763114749,-1148087808,-470292213,-141374841,-2084502557,-1148059438,-201981947,11913354,-1835481974,-796134409,449642932,1355006002,1277185618,1093751888,1126193237,1127304527,1310740047,52448341,33620224,33554434,553779712,131072,1292463104,1048582,85578754,-738197503,-738197221,-434383845,1644519965,1644519941,1644519941,1644519941,1644519941,1644519941,1644519941,1667855201,1868832865,2036689774,1935761966,-1293353971,-50672643,234991080,-1574523897,1572541510,376618772,-1958770394,641942511,-1441369952,-259303763,-796152915,1325808422,637826580,-1407955037,1957349630,-989947895,-92931888,-1515535222,-1031035484,-388823631,642304139,856180227,-1410205742,1435857,1906517504],2,[28353814,1375732154,1510021864,242532922,-225786310,-277491574,206503718,648733931,638019318,-1425717757,172360486,172394790,637599720,-1207153015,648675583,638469770,50423543,-1608098056,-1057089936,376480294,1174813222,-385649900,648937306,340729483,51893432,1369646787,-83667180,-947782909,78709105,-276041773,-661733325,-2134916978,1161216,-959935317,-369049594,1577159,-1012727779,1329903872,1497713486,1094852640,9175123,113704988,1835152,-1426057800,-1426038600,113748907,-268435304,-637121126,65539,154801152,1842080,65536,458758,-523042809,234881024,8388608,0,378077440,521011338,378078990,-1587675133,-523168689,1946247685,341688101,16781241,-498645243,-1093760006,-836037006,-33294197,125353995,66650953,-369278479,2045378168,1727407870,1174611463,100869637,723916401,-654898106,72256038,-1958680365,-796180280,-1038882095,24546086,860407299,-1007224878,-617392610,-2134916210,-1105261051,2025395826,-1079708928,525534594,1442860222,-218102599,96952228,1569260928,-1021354494,514,16777218,4194816,-18153465,-234360832,228596048,-214583296,-205520896,241172487,251662080,2159306,117899292,407830528,-1207959488,-268372100,51048979,0,251985927,257558538,15798106,-230293408,0,34209796,276382546,6750385,521018960,-1559918943,-2002714504,8037125,-895657953,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-268435456,4194481,-272170940,-272170944,-272170944,-272170944,395837508,-268370197,4196360,4259839,-268374419,455298,537264128,-328138688,466878464,334292,537264224,76814804,-234749856,72286721,65929473,11600129,95159885,17105073,433324033,87301076,114229248,154599424,6751788,1230192962,538984771,5066563,0,0,0,11404036,16256,542396993,538976288,5456194,0,0,0,13501188,1920,1347240275,542328140,5456194,0,0,0,13763332,2432,1414680397,1162297671,5456194,0,0,0,14091012,6272,1330401091,1380008530,5456194,0,0,0,14942980,1536,541545794,538976288,5456194,0,0,0,15139588,640,1162625347,1380009038,5456194,0,0,0,15270660,3840,1230198093,538976323,5456194,0,0,0,15794948,4224,1263423300,538990917,5456194,0,0,0,16384772,3584,1163217986,538976288,5456194,0,0,0,16843524,1152,1330468168,538976338,5456194,0,0,0,17040132,640,542134096,538976288,5456194,0,0,0,17171204,768,1414680390,538976345,5456194,0,0,0,17302276,768,1145979204,538976345,5456194,0,0,0,17433348,640,1129464141,538976328,5456194,0,0,0,17564420,768,1380013139,538976339,5456194,0,0,0,17695492,768,137632193,673221118,1126979651,686434649,266950723,1497574414,690753513,623985452,1041884416,545914376,-380091608,1126960911,686434649,266950723,1497574428,690753513,624050988,1209663744,1479623432,978863079,-413585085,1127897411,1139234866,252701016,1377445120,1344307720,-870311961,-819982048,974318112,-334305446,1357714216,827996713,1525289703,1545226752,545848840,1479623464,1496400684,826485801,-1996604891,1479689000,1496400684,843263017,443482149,-1996617626,826550304,826551384,1143744857,-29743823,843327624,826551384,1143744857,-1711266510,1124626458,1139234865,828042072,1496400954,1525373415,843266609,843310936,472443224,1139409187,-349611982,449773658,826542202,1480910680,976313067,-413585085,-380030653,-358936792,693711171,1144675051,1156012082,686381106,-369023460,693645892,-201303317,-32996326,1126703240,1126979633,740907313,975515971,1126729982,1126979634,740907313,2437699,143530777,673220862,743977284,693711172,623985708,680066618,743977540,693711172,624051244,-1743049728,253805576,-1996494555,751308779,8600085,144841534,-413589374,550248466,973590556,457834627,985663660,68034697,460259334,1297287350,-380808217,550124050,420424728,572559674,1802399556,1814067557,1936028527,-2130697695,-2113355749,317151520,471911456,-2093349912,-904164096,-1992638456,100929056,436207616,693711130,624051244,-1743049728,253805576,131072,33554688,458816,50397498,-65792,4195327,134213637,-1610022784,12585728,251715597,537985280,22019841,385966101,-266796672,29367295,-16654307,-266272241,-1039361,-16621531,-265747825,46148607,-4051,-265158657,54539263,-16555979,-1606876273,62929667,1057218621,541131776,72351492,1191469125,-1605827456,79710980,1325719629,542180608,88101637,1459970133,-1604778624,96492293,1594220637,543229440,104882950,1728471141,-1603729792,113273606,1862721645,544278272,121664263,1996972149,-1602680960,130054919,2131222653,545327104,138445576,-2029494139,-1601632128,146836232,-1895243635,546375936,155226889,-1760993131,-1600520208,163617545,-1626742627,547424768,172008202,-1492492123,-1599534464,180398858,-1342181203,548473600,188789515,-1223991115,-1598485632,197180171,-1089740611,549522432,205570828,-955490107,-1597436800,213961484,-805310259,-254735104,222352383,-15900459,-1596387953,230742797,-552738595,551620096,-990450,-15834907,-1342239089,247524110,-284237587,805244672,255914767,-149987083,-252113024,264305663,-15736579,805244928,-982256,134213893,-251002895,-979969,268431629,-250478607,-977921,387018751,-1342238335,297868049,536867101,-249490943,306258943,671084837,-1591143807,314649362,-15539923,15,0,0,0,0,0,0,0,0,0,0,0,0,0,65536,16777218,4194816,20578311,-16776447,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-922746880,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,874512384,825499717,541340704,1111755040,573323017,1095648594,220349773,538976266,892608544,538976288,538976288,538976288,538976288,805965088,540557624,807416632,538976309,538976288,538976288,153100320,1376343876,1296125509,805965125,541147448,874526256,842342453,540095520,874525493,153100341,906576452,1380262444,574968641,1575553549,3,-1899459584,-1127182632,-386203392,431227268,-796253747,567086516,567086772,70518518,-1172605697,162792412,28844493,606194956,1951284319,1968782345,872859370,-930349052,-1127182598,-1896152832,21424344,989932520,1946443286,-100219370,-756547325,18540544,73274939,216532340,-957158655,260614,-1090452546,109971794,-1510210468,1513029541,264405764,-355269455,51773742,-1900006655,156869153,-1979096928,268443853,-722429440,16839357,1835697,177,0,0,0,0,436207616,211747505,9437184,33554450,45154993,16777819,689,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,153354240,721420977,45157890,67110877,156631303,45154816,17043290,-230289574,-150774295,-1945980670,-1898410296,16825552,25487611,567089588,229953674,246686157,116793805,1962869812,64797211,567085492,-854851144,1012868129,1007252558,-957713063,275462,-1896167284,16825552,-388460805,736624966,1578515201,-971607036,17037830,-402599192,372965658,91489374,-352252696,-100219150,62783491,156417793,73139854,-5921284,-2096866770,78712770,19851987,855704342,-2584896,-83853266,1377766942,1509984488,681722116,-2134575613,163470965,29685251,247333748,446934275,480488707,-1605373,218071808,213844854,-1212314880,-1260943614,-1172189943,567083795,66731650,-1170639616,162792236,28844493,-400438004,537657401,1765540020,-989983628,108294716,1631372542,-997532299,-819996789,-1274854470,-1172189943,567083809,-820051280,-1274838854,-1205744375,567086087,-1157686807,-1269824727,1478610185,1545506499,16824836,567089844,901390094,-854608892,1958742561,58767886,567085492,-854849608,-941954271,-855353850,1476839172,-956301308,17056518,131119360,-1274792518,169987367,-1162251072,-789904544,512634620,12452956,131119361,-768349743,-489684051,-1021374725,-1207876422,567092514,-1207892038,567092515,-1342071878,-1172189916,665846151,-977067571,-587017470,-419241470,67303426,1769101059,1881171316,1702129522,1311011939,1914729583,2036621669,1952531492,1699947617,1394895717,1869898597,1869488242,1868963956,610561653,1953067607,1634082917,611609717,1802725700,1634038308,1920410724,539260009,1869771365,1920409714,1852404841,1919164519,543520361,604638529,1919902273,1377840244,2037544037,1732845612,1701998446,220471359,1818838538,1818304613,1633906540,1852795252,1650553888,1646290284,606889057,1850280461,1768710518,1329799268,1312902477,1329802820,1852383309,1769104416,1092642166,1850280461,1953654131,1397703712,1936286752,1852383339,1769104416,1092642166,1851853325,1953701988,1701538162,2037276960,2036689696,1701345056,1701978222,226059361,168633354,1702063689,1679848562,543912809,1752459639,1952539168,1713399907,610626665,1700006413,1852403058,543519841,1668571490,1869226088,1495801954,1059671599,16786464,1330926913,1128618053,5521730,256,0,0,0,0,0,-1,-1,-1,-1,-1,1329791232,1312902477,1329799236,16783693,827136,33752064,419435264,1536,211623168,16777216,785583962,268443853,-986670592,21296057,17236657,689,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1313817600,542721355,1396785696,0,538976256,538976288,538976288,0,0,1868832779,2036689774,1935761966,13],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,-96668183,-150776135,-16310778,-1190955777,-896793693,243911171,857604944,-1982165294,520425486,-164380274,244055691,-201588688,-1899983708,-1949266216,-83874778,-402238744,512428806,-2017066960,-1962868737,-167562466,57999111,-385243927,-389084977,222038129,1894253429,126496264,1975519811,950060014,1208367623,-1274776576,-1156526848,-890765306,317515783,2210554,-300413716,47902,512482190,512296218,512426128,512296220,512426130,512296214,512426092,512296216,512426094,512296210,512426096,512296212,512426098,512295868,512426020,512295870,-81854426,1443782339,1447860926,1458962622,110086997,-1782708480,1592847180,-1698802162,-1017817524,682373575,795423092,690497836,215429533,830606552,592783037,231148787,385161099,486676748,657657428,658057014,656090904,39462686,39584347,42205818,42992261,43319956,43451030,44106396,45286062,46203572,46924482,47776467,47907546,48038620,734,-834059960,29972108,1443025750,1297023940,-1949413555,1234226511,-984857774,1413546129,1385014341,9623361,1279609088,1279886020,8508229,9032773,1224736768,8899660,-2049686189,-1538700544,-1538045180,-1539028219,1296105478,33989,1099486293,-1881911735,-1814478516,1163067392,1397065428,9098309,1163154265,1224770509,-1901836979,0,-822083584,2133067658,1023085547,1022719229,-1963952642,-1654694393,-1979557445,-29314584,-141933631,-1976642678,1958742535,-1639735310,-1976634247,1975859719,-1965389848,-1973855551,73310416,-5193718,1946443426,-1960792051,-29250823,-385649202,-1031141162,-1976695061,-796245241,-108298460,-822197846,-1075248267,2042759688,-381461527,1509623985,1398495577,93644875,738338491,-1967127999,50378184,394997465,2145932123,-1949791739,615263986,-385649281,977471646,-1959299647,1118580466,-495337462,-1406209397,1006984680,-402426834,11535715,2078868338,-225748984,-1073042386,58284633,201327593,-1336870528,-385868546,-1956968355,1118580466,-143015926,-374936766,2101086280,2117867892,-1975315339,1973435399,322627843,58040892,1259557609,1590656688,-1975280289,1921068039,851444438,1508936676,1359717305,-189464786,67561729,-1911132727,244127274,360748310,-988802620,1436553225,208831761,819632,1125275,-1190917958,115869498,69515776,-1962422599,749481714,-1023315071,12048522,-654058749,787647298,1124567212,787647298,1107789996,-2064130581,-63686,1607401845,-1185309345,-11465821,-385402188,-208993380,130974967,24510463,-1654693937,205109593,-826998959,1023132423,1006990590,-820611843,1007127107,-385649267,-1908668200,1793655669,126503689,-1654694193,738691651,-805259903,1372097216,-402435096,-2023881567,968513246,28332556,-1962628958,-1258344717,12780058,1769366852,1428186467,1635148142,1650551913,1124099436,1970105711,1633905006,1852795252,1718968864,544367974,1919252079,2003790950,1936278528,1918312555,543519849,1953460816,1702126437,1766064228,1847618419,1377858671,2036621669,1936278528,1699553387,543254884,1869771333,1681981554,1668178294,1176527973,1970561381,-1308596878,112388425,1019382523,-821988540,1016946270,-368741814,-167770008,-742702292,785418756,172165002,-17271360,-386632246,512490475,-1729494201,-67764216,-997996661,-1308156140,1958742598,1011331592,-1308462078,107407688,132666363,97118221,839829992,139109056,-1576515166,61868107,-1340413208,138453508,-1341636958,138388088,-1594110117,-1073084328,1335888500,1975519747,223340547,1381039055,59697235,1515965323,-389903790,1482302479,-1654694193,1469862490,-964013994,41027900,-397684904,141820428,-16653336,-1845370904,1942678360,-1654694181,-1631287720,1448566361,-1963816367,783897552,-958856448,-1604780025,-16513281,1577477819,1364647559,-81157911,126536587,-349829912,-880018661,1579585768,12295519,-383874816,1583045380,-1946481941,649783499,1587371870,-70560169,-1041708149,1592912678,-2041012897,1515822788,1448566363,-886644248,1632507,1676215154,-401755905,179316434,1579601384,1465818463,-876596650,1963186408,1364443905,82386571,50343609,126507481,-1017444036,1520263006,1465801051,669771862,-1654694197,126507099,1076682532,456925042,1128471411,-1962610503,-29250823,-20958526,-2036336192,-997830460,1038683062,57272581,1486708574,-588529614,1537040222,-1073084534,-883533986,-471268494,-1654694146,1956421208,738691602,1975519788,15919114,1375783912,-1667434083,28491826,-1660792088,-937115622,916586764,446471429,82813632,-385649251,65544340,-390057467,233374269,62777376,-385649981,1600061078,-1548134243,-397717237,108331180,-385867544,2112364688,1346120704,-1712846475,1042432,-400246807,-398393236,-1070465019,-1308331543,-1228918270,32368640,-1560301373,-1070463690,-980752246,-972959768,-543162361,717618692,854553541,87466688,-1654694205,-81876247,-18814896,-385650088,1600060970,652470429,171709554,65736820,-1952620706,-1190860514,-654114774,-437712898,-385649661,-1863713274,-1956723927,-1506870021,1977584470,1007127050,-1023315398,-385869847,-73399276,-33014782,-20382008,-1975270456,1916419079,540852993,141751412,-17485764,-1010237760,-76234742,1869744956,1064640060,167968928,1129366464,738394274,742028060,1007121397,-1977911810,512312071,11993854,512350346,45089538,-1157430878,173539332,126534592,512312131,-1974795522,1021438783,-1950124784,-352125410,-792658282,50438848,45764946,-1965390077,38922472,1515838087,50208393,310104,1019461642,-385650167,809303916,-20906251,10535880,1930378243,1913469977,35556117,1124758787,394937155,-2026403261,15198426,27306475,50045443,309594172,50470539,77799049,50601611,77930121,45845995,17688579,-2041018901,-1017405756,1631324042,2067593586,1596257651,714947,809302643,977073778,1094501365,1530723186,512476149,-1983708357,-1341873378,50045442,512447427,11862794,-654059261,-1014768649,50950714,-385649956,-1017446398,-385815319,717093007,-1107760304,-202682244,-347309635,1196998126,431876587,-1109071073,-538240576,-349414979,500874714,-1514285589,-1110381761,-873782392,-348051267,1089322438,-742538773,-1111692456,-1209319433,-345726531,273792434,1002286571,-1113003164,-1544859860,-349776195,641645982,482187755,-1114313961,-1880398780,-350049603,582335882,-71465493,-1115624695,216610858,521977336,-1107818775,15281061,746110456,-1107821847,-186041969,435731959,-1107824919,-387368287,127385079,-1107827991,-588702845,1687731703,-1107831063,-790034522,607501815,-1107834135,-991351548,682016247,-1107837207,-1192687703,174570999,-1107840279,-1394012071,146193911,-1107843351,-1595331340,930004471,-1107846423,-1796659526,642760183,-1107849495,-1997988993,946322935,-1107852567,2095646612,127581687,-1107855639,1894327884,745651703,-1107858711,1693021248,1422966263,-1107861783,1491677142,129154551,-1107864855,1290340259,388480503,-1107867927,1089016112,1691270647,-1107870999,887687054,1892204023,-1107874071,686366495,655801847,-1107877143,485036379,1699790327,-1107880215,283715006,1695137271,-1107883287,82387559,345554423,-1107886359,-118943637,1689370102,-1107889431,-320272465,128761334,-1107892503,-521579801,639942134,-1107895575,-722910871,946519542,-1107898647,-924236966,1190772214,-1107901719,-1125562712,520797686,-1107904791,-1326889093,1675804150,-1107907863,-1528208068,1234877942,-1107910935,-1729534838,1672330742,-1107914007,-1930859695,1806548470,-1107917079,-2132188111,1665252854,-1107920151,1961452328,1208466934,-1107923223,1760118631,1253359094,-1107926295,1558789907,1058455030,-1107929367,1357453783,1228127734,-1107932439,1156139121,1214365174,-1107935511,954812463,1213185526,-352963863,-167768344,966634,284027638,-253037056,-352976880,-167767554,1399274,349825782,-672467456,-352976827,-167756103,2018026,518974198,-756353536,-352976834,-167755443,6622442,646834934,1860892160,-352976889,-167769901,2045418,127003382,-655690240,-352976889,-167763993,2555882,754903798,-1091897856,-352976889,-167769128,868330,689433334,1072363008,-352976833,-167770208,4185578,433449718,-487918080,-352976811,-167749894,-382919235,935196052,-175183571,-382881603,951973256,-175970041,-385195331,767423868,-176756470,-379312451,992802160,1577530530,1443817662,1005127562,1971666175,-2048371958,-1573180165,1583023924,1443817662,686360458,-326370305,441985,292828073,208996156,-397323696,1515783003,-106108584,116805839,1979647796,872859159,1520500487,688273920,-32934912,5743296,-108205736,232647512,1263583282,1023094760,1007187008,1006925007,1476687144,1477356521,-400737047,-387450124,-397148785,260766995,1912732032,28805960,-388396544,-192282558,-402641944,-729153478,-402643992,1824063538,1960512007,-161173495,-389510172,-997588958,-939327308,567094196,292929546,-620051621,-872543372,1949252780,1949121559,-53221101,1912606440,-387937544,74579975,-527824171,180587203,-1963363109,1915759620,-183878413,-872485262,652788550,-1336720635,-64624630,-852839342,-964011231,-1342165784,3401773,585679498,-399659008,-377421783,-109050004,1913894244,1693024261,-980761090,-1979709208,256193,-721538327,230983178,48771120,-2000385536,-389856505,-387450336,-397148997,260766783,1912732032,28805939,-388396544,-326434962,-402646552,-863305882,-402648600,-192217250,766771378,-1073077811,-1017442699,125098762,1017957374,-1023314630,-386132759,1396901005,-1930950480,750015227,-92266035,-32214478,1023312070,11930994,-109002242,-1325108676,1539702272,2062075274,-398806785,-1047855231,-1325436696,-8918982,1726531210,-40506881,-384935238,-633270251,249184782,1141824067,-633008422,249185806,1292819015,-1144123465,246402830,-737239088,-2050224491,530798606,-2142211328,1265844730,1198838282,138417800,553287875,378027378,1942161471,-2134297802,796082682,242536970,1929417705,133857318,378020211,1942161470,180521498,1010922688,-1743752363,-166940088,-1963947278,46202564,-382604352,-377423031,-389479872,326373397,292823868,225717052,91499836,-351262744,-20316670,-1144943927,-684847134,-747061238,138294922,1084248656,138519048,1947198696,271116304,1933703808,1959922362,1091995652,-1739040248,-619980661,-1959915916,-1324355681,-741463546,13861867,378194827,1067452481,1373828616,45795467,570472448,190444023,1364686016,261875792,775690356,-1185410699,-503906301,-355342127,-394997237,-386223895,1498943396,863291659,138559104,1345090561,1108249169,244488,1946352000,506627,-388766729,24494091,250108224,243947520,-388822974,-1072969421,-1950154379,10938832,-386241303,28380983,494160956,1396490750,-1040312460,292834876,1178388786,-906099084,-596295108,138612360,1108248771,336773896,50272278,168297988,269356287,1393580562,1913805585,-736847341,-2145968107,-2145782504,-568515813,52476190,-352288582,-83498935,1915091587,-840412613,1760046327,518542330,78035963,1979647990,-379954427,1065354302,-2145553519,1065354503,-955485551,2147483527,-41433200,-390856449,-745801365,116087131,-369505047,-1746394159,-226077952,1976109906,-352144124,1227276,-147530568,-2033677327,512446953,-1886713785,-1947729920,1003779107,1946157711,-94873099,-1977406488],4,[589752516,568902027,-389772765,116794140,1962870851,1711732488,1979711232,-1070397884,331006094,378086932,-1943666656,117449230,-1207942982,-1964111872,116846276,1979646053,4438541,-1158760784,216793185,954789379,4372992,-289109266,6688393,6620870,-1017382144,138610422,1394439679,138878603,165879,-126484481,1711732571,1962934016,1694942727,-236192000,579135683,2145970314,-389510622,-527818118,-400394775,71104889,-286719118,1662946040,1958742528,1959329298,807307790,1959329287,824084998,-20382201,-123737917,470192067,250134023,1965243478,-93525757,-386325784,57996952,-386242839,-963970553,-1073032970,-1494678663,1389398776,754345960,1526219496,-2046494080,1342927840,-489663917,-380627788,-10552768,1342643254,721137747,-1260334906,307870464,-1959864317,1358599,-1959864317,-520135929,-225815557,1946161128,1949973513,452623,-1973684359,126537686,-1010106813,-1037384054,37538046,87878770,1381623923,306166611,-930418293,-1974015862,1643937828,-58718094,-2147257477,-1976688404,977683207,-32016956,786724297,-1073084534,1532693625,-1654694310,173430622,-1073034304,-1976637064,-1073069305,-846530439,126496350,-1166688246,1515904651,1137694346,-80655025,843927363,1414548730,1347221809,1291334228,-147631024,1211314688,1949523507,-80508365,-1484107693,-58720210,-1274907139,-134446855,-58718862,1476621052,-72298661,-1073560534,614662324,307870471,-1959864317,12016391,-1959864317,48782087,1591803648,470191967,-419455737,-1190635077,130416698,-85835008,139988616,126548675,17564708,126355258,69469300,-1006944139,-972584198,166395911,1342671610,126353932,1946498136,-87819462,86247306,126355258,-1006955147,-1475900678,202404867,1946630660,-1475901430,872707330,-83659771,117373635,-1006958504,604474106,-2012792317,-1609927673,19662936,1487012722,1405352712,3022475,1960512323,140163865,-1979706439,1943588871,1926811656,1926811652,63144711,-1017385502,26708817,1506937600,1397944180,-385894936,78774134,1509278440,-998024358,922702600,-1269759954,-628404083,54730377,-386388503,133562372,1522254593,-167529464,-1009253404,1381191931,-1898826978,270438106,773753605,-620018944,1622821492,993848320,992756338,527567420,946998588,179363978,-1057090188,1947270272,-2134835698,125047548,-58670850,69039381,-5773309,401086068,-1964227841,-293597984,-1158757238,548405280,32242158,1532633080,-855477672,1358680047,-768388578,512678542,1810367760,-1564462592,-922877846,1509973666,1355765791,-768401838,512678542,116851984,-65434,251595124,57999462,-33547288,-2146941938,520635430,1511982709,-806302376,-1342168902,1512042016,1398198104,1193184081,42465032,1962934016,-54663118,-301972806,-1980840822,-973052402,25862,-1017226407,-967748778,25862,138747531,364427,497547,138878603,-165719064,-16751354,1639590517,-64689152,-1070391570,512481422,-1980103744,-1962926050,-1996242402,520102430,-301973318,1711720430,-83886080,-1017226407,508974933,-628174285,84942478,3409654,-402426625,116785167,1962868805,5695491,1566531103,1381061583,281871540,1961101904,975079692,1009682432,1058441472,916477952,1959014912,-1998321107,1946170918,924748069,959350784,1024887040,-402477056,225771101,-134361624,-16776825,-352160513,889636357,1499135744,1364443995,-167754053,91619079,250089653,133579520,-1257933313,256064,1405311833,167779304,-1340902199,285048849,-1057095052,1962808552,-41621499,-2007250638,-1168981233,585892353,-1731658043,-1017459574,-1324436141,1959345155,-29605082,126487669,11600565,393515068,-12823829,126504565,1006633657,-1256098656,1007792386,1362982306,1493191400,-109000450,1007056145,839021569,1942305472,1273530930,-230496175,-1913512984,200606952,-402098990,-779356538,1478194011,-389807533,-1992032868,-1017226473,-390177189,126506510,-369770263,-1830161367,-233903884,686942184,1358152424,703717352,78758744,-386723096,1398404289,3028735,1359501753,-1185903180,-380563736,512357768,-4848837,-1946802200,1159629283,1972190211,133585707,-402426879,1532624029,512480135,-397737157,125104572,1443817662,-1980411159,-2030031346,195280602,-196351658,-1779891278,1948794101,-221059068,-7804733,175423498,238864638,61959539,126499563,-243079088,-1791208616,-1875112588,-583266700,-859875211,-1089934574,65737401,-1189948225,1464926222,-1056832592,-1161901826,-380152298,1499462856,-1017385758,1347497866,1978746856,1398364201,-1310146302,-570588932,-41939084,-2146470768,309695997,1543231208,-68884285,-404176037,-373072901,568980273,1965571317,-16455431,37538046,11660659,614578923,1958742791,79756802,-60299264,-672660620,-2098674693,-252778245,-1312804269,-6756350,-1874886565,-571996299,1860787952,99175412,-77338379,1022414824,-398166744,173276858,-33131328,1929526472,296833182,1493133800,-1791000485,-466482315,50349758,-349927184,-583040994,-1336733067,-66590703,1968960395,59045383,125042944,1592822760,1274289385,-386615063,1381102553,-1594634520,-796260618,-260904885,1239943028,619195632,-389903630,57871026,1525839081,283661145,144238597,-402652742,393478424,19261523,-2015755430,-390057254,28311797,-1342115608,1529539457,472967363,1256784757,137469980,259309578,137502347,807308115,512447240,1515391028,-1047897255,-1979199768,138191557,-814432254,-402295982,65734599,1510467560,-1108811406,853308416,137470656,-1979660568,183995091,1260287168,46631499,-1995017536,-402115562,512296843,815925298,138190856,832753910,975080200,-2015755512,6285530,137174667,-402116704,512427887,378210360,-634714054,544360052,1709759111,171799552,-2014874432,756976602,137338888,1017170058,-387413496,-756350912,1263262711,-1073559670,1396906610,1258784232,-126493941,137863258,141869066,-167232352,1304784,-1593891095,-930478026,168310688,-1023314495,-1979171680,117303528,-2023831414,1381062366,-385699501,938012751,941000970,975079688,-1965356280,137863873,114944195,512446547,799017005,114681864,512318296,799148077,166127624,-1047864565,-1022871902,-386770712,-399708456,-2024541693,924748250,-268703739,-1175314200,-205881291,-232134652,-1980622104,839393822,136880832,1527260834,-1309531416,47617,1375855592,-4554575,31123711,1457424222,-628637646,74701371,-628635394,-1995954270,-1995956202,1527258654,-291575733,-397212043,619382655,753823720,1408305896,-386809624,141885960,648200446,-238295032,-1979406661,-2012740601,-240261113,136584841,-1996488518,-1962403818,50673438,442296539,1994982261,-792557030,1377202904,-338607277,-387264190,1532624963,57858619,-2013394711,-1949594662,1124603934,-637281789,-1073559670,-2024665486,64588762,-628667429,1514789419,135798409,-347940469,283660980,648043265,1975519752,-628636927,437684675,12276488,471763200,-1972216,136912521,1406830427,-1979722008,1510484758,585685751,-1957539072,-1995955682,-1962402786,721951254,438208986,689867528,-1982073080,1510484254,-1327827109,1381191684,378229331,512428060,-620558302,512350723,512428060,-637335526,512481927,-633665504,175316596,136191627,192207419,664806259,1975519752,-1608389849,-1073608664,132849267,-804771680,1511355352,5957723,-352303896,136814619,74760202,283859802,1172855642,101312512,-1813510541,91547653,-27763878,-1023314488,689343314,-1982138616,-2029508322,-1957471526,-2029507810,723421658,1541076744,-1946195223,-1996145378,-1962592482,-1996145890,-385533666,-1957498741,50674966,1523289050,87760523,-628631037,605981635,180587016,168261056,-2014218809,-466435110,-225778953,-1979678715,-397687852,-109777696,753711080,-244044740,-280106927,1457424222,-268441517,77970265,-1073084534,233374584,-2004933632,136887047,-1056307318,582551432,-108807554,-386928920,57999396,-387009303,512487674,-620558302,-620504317,-387080984,1515843521,-386937112,-2024083521,12174298,47745,-17843992,1369621448,-957853688,18999535,1958742616,8644867,-353616920,1793610321,17688815,-397190822,57929695,1139789544,117251721,1945095400,-272898045,-81884861,75032582,16050267,1381061203,-1962596888,-1157170410,-637337600,-92944130,129682315,-2015755520,-773140006,-1947545110,1359412510,787008395,79387119,1524237056,-628631037,1943681883,-301471485,1125091419,-1958531192,-1996030698,172180247,1400302528,1526996456,1375771112,-338499509,477365685,753641448,29088391,121253405,-28636812,-2013891123,-2017240358,-340596518,-980759042,1457424222,1125616464,-2024582589,77129946,-889270134,82379637,-336867072,378227701,-637336265,-880078734,1125616475,-1957473725,1241856286,57924099,-2014476055,619207642,1482250752,1676169977,-1605215740,-1073084335,-1276639883,-402396412,1239942438,189422083,1541895634,-118991933,-385650173,-1017385643,753604584,966918576,-312875005,1122567028,54108909,-2015786157,1406796762,44888459,-1210545472,-654098176,1532615303,-940642365,230355142,-1564462563,1659439178,490460417,-870498876,1154620738,492653853,-971157051,1472666957,491505693,1109262785,-212984329,530798621,-752983357,-150987251,47578,-621328405,12241547,-146871552,-339047462,-137721032,-147657766,-339047462,26339574,725352629,758908532,-973208972,-397359734,-1226309208,2028491265,1949056001,-324802301,1493281000,1975519832,10283078,-388920494,-628686698,139173978,678680784,-397192624,-880147629,1398463111,1493214952,-628665765,50331835,1976434394,-1796713478,-637314304,1490745178,74701008,-621290505,-1594020888,-1073608630,1364199794,-49551278,39344474,-1995803968,-1962591466,1025411545,-1564462587,-1329395638,-1341985984,139115392,126355210,-1979026493,1929657538,139174404,-385649981,-963974127,57982986,-1964242711,1975519938,-335550205,-1022867038,168315296,-1141345088,-637337600,-92944130,-963978617,1939652610,-355382783,1939729105,214338270,1123060416,46566083,-1157205056,-145547334,-373191974,-1452016463,954778250,-385649918,-1983648843,-402108650,-1168905197,1347551232,-387214616,-1974342487,-1571270458,190515278,-385649189,512295046,1592264780,48985088,-1949791552,772296478,-1073608822,1994982261,1958820587,1128481541,-1766199829,-1976676066,46696967,170423232,-1965502272,-397192760,28966953,-385649408,-454557679,-385650176,1307049990,99350784,167785448,1129929664,-14709970,256227,1405334132,-1979167045,1958742535,-1961886185,-1979167714,512312071,540805196,1614603892,539755122,-1152138405,134088782,139206283,1277069643,-389850360,1027407811,725379188,758969716,-1162213771,-336899553,-1258291014,1949056004,1950039249,1933196509,1915763913,-1965389115,64685054,64619483,-1976554277,50378448,-388331558,-1166737527,-780808706,2028477931,33012479,-399985326,259129403,1118501515,175389500,-16817432,-370051635,-379852147,-639046683,-341186305,-389817721,1319174096,1277070088,-561553912,45174870,-370577688,-621281598,1916878019,-178570237,-216101949,116760582,-216102461,116761094,-216101949,1358660358,-1007090061,116596363,1914765184,552566792,116596361,-1329364541,-216102625,512475910,-75430157,108150512,512476153,-8386829,-2130087392,-1994411797,-1022954722,-1994340480,-1022954722,243974538,114425941,-930478347,-3997326,-1022954738,12568204,-1949856072,637989662,103942026,102893302,807798517,-1010397689,-355341941,-1311077473,65196802,-754667053,74686178,536920705,116594313,-896871029,5572342,-1340836863,-1329061369,-1561800064,61933301,369224403,-1329395981,46670339],5,[-759123767,116761320,-355269967,116594177,1929657539,1426519567,208929024,-654966492,-133761374,-378803773,-503949903,-133761374,5611715,-311115766,611904778,-1476230981,-788368127,-1614070805,-1958018190,2029390539,-923107060,-1174113792,-1631387449,-1009634365,-341849805,14007272,-167693382,16798982,-338623116,-1009646781,-1023388256,139730569,117116553,-1600137078,-13498635,74637520,-118765570,139607688,839742366,786105343,557424523,139861641,1327585987,1159807777,-165584607,87172816,807847202,-154974459,-154858795,85993173,-987577529,1191512102,650453699,-1018755792,14018566,-511649290,1961462279,652489238,1246168458,-788975240,1976434396,583586550,-1948480800,132284906,-772943616,653119981,1296500106,48765304,854911744,180933604,-1979414333,-758954276,-1966857528,-2044400680,-754993967,-753428,326421130,-259341278,-388775886,-963970934,184537320,172913919,-2008386359,1173046812,6154246,-304939083,-175445365,-305009199,225766865,-1258275352,-126530049,1946673792,-1194686934,-321716480,-896871178,-125114157,-688460766,468250122,1962871296,-1964013048,1444347843,1412860168,-2134702328,-292880394,-336858252,-740019540,-1966929208,1445396444,-82408696,-1207910650,1049347982,915080947,243927124,-617412526,-1006834382,116797066,-1560396056,780666941,-1966930186,583152327,-1978960699,583414471,853019333,-1966867976,-771730162,642216901,384318856,642752256,-1013039734,5574282,846450130,1195214886,-146961882,1962938311,-1312322779,-1963750652,619238396,266829839,-955061040,37871243,1914256577,1947806722,1942039044,-1077676550,-946948096,116604555,116731530,138221194,116799114,-1977165006,-1123630275,-555155457,-1964489217,-402296065,-177012879,654284264,1049181576,780666611,-880146699,-1022894709,-387282170,1391001529,1292727039,1944586100,871592959,602625517,137182857,137309832,-336776363,-13375483,-398128781,-176947370,-1979761432,-2012810434,1510405422,-1975678938,131959755,-1564462397,1721893989,-1173911036,-1036386115,1705116789,-397720828,48817312,12276712,1813940480,-397714684,1970594960,753166312,309603388,1407647464,-1981404440,1527016478,-461969333,1307073396,-1447416604,1958885888,-465377250,-465639359,-465901492,-385649332,837288380,-1036374812,1441334132,-1665135896,-402364766,-1712790460,887640552,1364875750,512350603,1088947305,-1978960922,-1982625033,1527015198,57858619,-1645857559,2112422772,773753601,512447232,1128988720,172165002,-385649401,-1958543150,378094359,-102236114,1958742755,1949973734,1979596021,126501643,973114298,1258976450,-387719192,-347347327,-472454947,-1336681612,54108673,1961233128,214272612,854100608,-443815744,966918320,-1979091709,1965571079,1777048844,675022730,-1159134347,-521643035,1976699877,214272541,-1159165312,-1169021817,-1605235967,-259390725,199572713,-385649198,-1974213227,-1144354066,1230185659,1236070795,-126304246,212660619,-1426486400,54108867,675022730,-2023835787,1229543134,1543494888,-481367989,1357448053,1965571327,-482154484,702749672,1089012597,-485299969,-10557140,773753179,1511426816,1478396675,1960459011,260723544,126501699,614252554,1124567167,-1243289368,-1646722304,1373796441,-1962930200,50551326,1511950810,1541048067,-628633621,56368779,-225715653,-1426486356,-1617018209,-260727231,-1020608118,-980758390,-259340518,-645183158,56368777,1544981443,1960459011,1128485669,-1073084534,-2004933476,-1964489977,1125092068,54734730,2019139033,-1377283616,1541048319,512481259,378209112,-633666726,126491764,1346585411,1491362024,91554620,838878440,-1227846976,-338033920,378231261,-633666724,126509428,1129333571,-1964753688,797590287,55793731,1963146457,824084960,260725507,-654114635,-1958487805,990064918,-1177848614,-1974393401,395002631,-1073069245,1405288821,56106635,1918622267,512447477,-633667536,1407939419,1397443403,1541733096,-588774475,-389850140,512484519,-880082084,56104587,56237707,512350763,512427086,512295727,1894253664,1272548324,53419657,168060576,-1961331520,-1962645218,1730055115,-460593148,56237705,56368777,-1327270936,74162689,1705046154,-1962857468,1258303518,-1041645542,-1564462368,1705116779,1478396676,-1949594877,50613790,1511950809,790530819,-628669693,73408139,53419657,-225715653,-1426486356,-1617018209,-260727231,-1982231735,-1962714082,-1962644458,1258303518,58053131,-387648279,57860971,1239668969,-420882037,-470554140,591135153,1371734388,1509956072,125092410,57934908,-387744535,-1976770288,-1982756107,-1023088362,-517543861,58008380,-387899416,-1293360233,-1596945693,-1036385057,1491665779,1392555747,81796747,-637281789,-1975316598,-1393456337,-1017397238,-1330052432,145799428,-498735024,-495065000,53288587,1508007400,-1327188247,61913345,1342681273,1491260136,57804602,-18686743,50045632,-400585917,-1228676441,-373280255,1323829350,-385649913,-29563759,1688339829,-33035516,-385649472,512426106,652738608,1478396171,73703427,57982986,-387987736,1128522292,56106633,853851112,87466688,-1595810328,-1073085333,-1125579916,82813182,58048522,-371033367,485024753,-507451165,-387884055,1860822154,-1897375262,1172851711,-402230048,1172963300,-1564462364,-756546321,-385649914,-1057037291,1860764533,1975582434,-496506621,82386571,50342585,-385351975,1994974201,-514463519,1541996464,1477872389,807308035,1960459008,1124567713,88664146,1408428890,1943961064,-386027461,512427322,635962192,-397190400,512426016,727320324,1501402,-1910580601,-1979494370,401088263,189416197,-370182702,-1014309362,-1979381272,84208071,1407317225,1943943656,94693623,-260702916,-1979343384,93907152,-1813450614,-388462075,-125172338,-1979348504,92596424,1621158026,1959329280,1343654662,-397190397,-1910635150,520587482,-980793021,-277495542,-575346343,1979594216,-509220605,57934892,-2015258391,11779034,529258755,73277065,-1996488517,-1979248098,-1160083513,-628686660,-393553661,126540423,24390716,-397323581,-397352848,-398336260,-397156616,-1645682369,1582913760,-1974018425,-1957473592,-1257827810,-1982266624,-2029579746,1579060186,1943681796,-506599165,-628663717,-1992093816,-1360307433,32178188,82353401,-530388767,-529340334,-561553831,-397323434,797630671,1457424222,-930478198,1134318417,-1073080437,512453748,-633667536,512440691,-633666728,-779472526,512426166,-637336740,512481927,-633666769,-1969397134,-534714175,-2023859877,1364350686,1507886824,-561553830,1129533782,-1659401828,395002715,-1958519975,985762335,-1979550779,-1966789912,57843144,-33547288,1959657157,-1962440178,1111730938,1499067371,1935235417,190467,548455259,-906051074,-91490444,-152354134,1582914461,-2024350073,1359640026,-1192704630,-503715617,-561553831,-346861226,1946434690,-397688063,-1168974324,91488384,-544872367,512447321,-633665767,183042931,11779040,394909955,-1296027069,126370567,-109720834,-1564255653,-1343748328,1946434812,-535303933,784028497,-1965489408,1913207815,-1604626159,-2036398312,-997830460,-385568687,-1212423823,-1948712192,1581400855,-1974018425,1965833223,-551426045,-577050549,-1645673612,-561553695,1976699734,-543954685,1243056459,1364416859,50379451,-2000669991,126370567,50377659,-2027975719,-1152167206,-633667456,-1174047397,736821248,-470302069,-1974282101,-1971379005,1493219024,-544554102,-620496502,1458111347,1943064799,-980794623,57982986,-1981855511,1527190046,-1128574119,-1982266624,-1157164002,-654114765,512350723,1398474518,721453243,995252954,-1979419942,-1596290306,-1073084648,-2135278220,1943681792,1407734533,-1957602560,370576331,337545991,8316935,118759049,-779422326,3663961,118627979,303991107,-634692857,12245771,-1552592128,1405311835,1526734312,-1949594799,-1962470378,-402188770,-628686776,118759049,-779422326,231336793,966967346,1397903623,118625931,50378171,529224665,1541028674,1134499720,1966573726,121217031,242532362,1395368635,683365201,-371653888,1515913763,-1974353063,-1426420985,-1974910397,1975585477,1489197554,1386136710,-1957650607,6416587,1374170228,12303104,-637282045,126393944,716918943,-1965489408,509495,141823292,-963977212,126353428,1515822680,-186006693,719868638,-386436096,-1145372644,64553728,168266458,1499159232,11779011,-1162148885,-1948712192,-1153252585,-654114630,-1950148727,-1382197,-1972142,995809927,512345050,988283707,-556275491,-1041695056,-557192965,1021104105,-385649406,700177925,-1965489408,1958742535,-1393456341,611583036,168266307,1359574464,-404170357,-555001599,120225968,11913354,-1186735869,-654114808,439093130,-1072037588,-1965147415,1121028853,50342331,-1070444071,-68679800,121020417,1007008744,-385649153,-922821063,1290339189,1976106719,-1070441969,-1314194805,1156071952,-573052461,58048766,1507727593,50341819,1125616601,1261930562,1371740040,-1968377461,1121028853,1963080786,754301722,-645180589,-1964434768,2734848,126540035,57982986,1526697448,-1325297176,-755374064,842249817,-1426486336,1976499777,71091192,1962944699,12106499,126540035,-383808949,297524421,-2015821056,77511642,1124075462,-1662516043,1127188701,-2008862840,130433839,-1576488776,-1070464261,-402348126,1539562769,-1631287720,-997810349,-1950054832,-1979389666,1963015175,-612701949,58000444,1493056745,1386136710,-1614050479,-2041527162,2734788,126540291,1968406588,-17569789,-1979187621,1124119823,-1631287720,146428063,-1965423872,-2012398537,67662895,315001568,50825413,1503549657,1527220314,-2008331581,931676951,-2146974141,-2146974141,-561553829,1405848406,50340539,1125616089,509507,121217115,91602954,1526751720,-23861053,-589960869,-1971276463,-91536633,-838974806,-1017514635,512447313,126485737,58000444,-1174545687,-654114774,-1073084534,-1974790028,268321543,-930478294,146397443,-1965489408,1539312135,-1974746279,1958742535,583685,1543095413,-1021661095,82386571,-1963488686,666452691,-1965489408,797590287,260590401,1127188547,834360131,-1311112448,130433920,1976172032,1632504,-402180704,-1073085480,41222320,-2007269200,126372615,-1017462774,-1152167343,-637337550,447863431,1540447976,-389850790,-93126818,-168224196,1397879925,82386571,50342329,509657,509507,-1017553927,1406909160,-1965343000,1975519751,-618403581,394937244,-1975547325,1020299994,-1978764798,126501647,977062654,-28637068,-1023521854,-889306959,-1047894924,1076682532,456940658,-256288653,-1426486524,1124841025,58313470,-1979697687,1965964295,1501192,-342034019,-1426486294,-822197439,-1070407051,-1660617566,-963984549,578030396,510788412,548467572,1101724043,-353644802,-822163714,548461684,1101724043,-160051458,-1763061525,-10426150,82885203,-1863839823,1975582416,-630068989,-1174072645,213189872,-2001931637,-29211897,1542813133,1104697320,1406686184,1409233384,-1325076294,-798889969,57983230,-1160064279,599459057,-401885947,397531943,-402320710,-1017393081,-397225846,57997103,1524283625,-68660655,1364810494,-389641572,-1986135521,1912814366,180521498,-1156287040,126485753,192225340,1128400838,1128335302,1532168134,-1991194998,1392830750,82885187,-225768271,1107789996,1976172099,-2000669963,1358343,126409219,1124567107,-2008873080,126370567,-398306726,1482423910,138171216,-1293417611,1963080706,-1427615208,-401362686,-1319448645,-810162154,58048766,-337998615,-401624798,-1057042521,1482299765,125110332,1380975280,1356655426,1946434642,-646584061,1523641154,-1426420904,1030994,130472451,130433920,2603776],6,[1,-1070409213,1,-2008873080,1,126370567,1,1527220291,1,71042954,1,138154868,1,20717684,1,1709769588,1,-40048424,1,54206091,1,3389891,1,-2135828221,1,-29151352,1,-369527351,1,512481356,1,-1957493527,1,2276299,1,-628631293,1,1162066,1,-1336682237,1,-32506364,1,1125020935,1,-176830210,1,-967091621,1,568918535,1,126507992,1,1352630052,1,-791672950,1,-1979468477,1,-1949249529,1,1111730938,1,-210383362,1,-791674704,1,1487600267,1,-402426466,1,803733562,1,-396796931,1,11665458,1,1929175528,1,1947876360,1,-339542519,1,-402607373,1,512426014,1,-880081687,1,-1157494842,1,-654114777,1,126402610,1,1124567107,1,-2008868984,1,-675354361,1,82386571,1,582732683,1,-1244069120,1,-33060348,1,1958742543,1,-29113599,1,-1007520307,1,-1897333387,1,-806164263,1,-371658008,1,-277492098,1,-645928877,1,2028476849,1,229724366,1,1489924840,1,246534282,1,1540254440,1,-47388477,1,82885203,1,-401624750,1,-1057042853,1,-1315155366,1,-402426864,1,1520291407,1,820577141,1,19917016,1,1088951217,1,1975737294,1,-256158962,1,509444,1,-401886909,1,1952120959,1,-51320829,1,-56442830,1,-239381756,1,-402083580,1,-105185179,1,-402411260,1,314179677,1,-400903931,1,-256193013,1,-401493756,1,-12792317,1,-454491275,1,85179351,1,126487473,1,-675551165,1,71090570,1,126487413,1,41164860,1,-1427624272,1,1976172247,1,-680531739,1,-259387644,1,973089184,1,-1341820218,1,-678172640,1,619185011,1,82885336,1,-1125641551,1,1979661517,1,-1966908484,1,1965702151,1,1057474297,1,1976172099,1,-1974287368,1,-1595387448,1,1348098509,1,50340283,1,1963458266,1,134103816,1,-29162635,1,1019316743,1,1477997858,1,-646660086,1,58000700,1,1020811497,1,1946267651,1,-1010762036,1,1489223730,1,-126614724,1,-2017214454,1,3926234,1,82386571,1,3455315,1,1273551107,1,-1185199365,1,-654114783,1,585631742,1,447828480,1,-1949482264,1,1124395294,1,347200135,1,181221096,1,-898278464,1,-2135172473,1,-2015755520,1,-1948521510,1,-1190973666,1,-654049494,1,-1301030341,1,-1946891031,1,-1073042190,1,803735157,1,-1426420992,1,1342496672,1,-202250158,1,-645194892,1,-633650342,1,-1252912012,1,-1393390836,1,1963407938,1,-838974712,1,1659499381,1,-27764009,1,-1009223224,1,-400969390,1,-1057043241,1,876004186,27,875967542,1,309131,1,994444426,1,1962936503,1,179800836,1,79137024,1,42991360,1,-1215577344,1,76021766,1,146225990,1,-1962642176,1,-1996485961,1,-16775497,1,-1023409529,1,50798779,1,-1962466274,1,-1752579297,1,-1886846968,1,-1886846972,1,-1886846970,1,-2017001462,1,2,1,1583044803,1,119289599,1,-2041001130,1,1515822788,1,1525738331,1,-336897701,1,6201427,1,360038654,1,3022475,1,54992521,1,-1021130870,1,91537662,1,916635698,1,-1950131451,1,-1962719962,1,-385662178,1,1152571245,1,-2133342231,1,41255162,1,-1950154062,1,-2096830178,1,-2084359229,1,126496451,1,-1312567050,1,-1841152,1,635989424,1,-383874091,1,851673860,1,-383874109,1,797411844,1,780845824,1,-555220894,1,6529279,1,2028537736,1,-2041554689,1,256196,1,-1140885527,1,-397200249,1,1673199755,1,6416640,1,-1564178856,1,-1966931870,1,-402181586,1,815857585,1,-385382393,1,1348009803,1,65586310,1,-11867904,1,1395963067,1,-1157602328,1,887686960,1,-997828608,1,-1022938462,1,120794762,1,-1593867032,1,126355249,1,1493114601,1,-389773744,1,501809155,1,887208959,1,3926099,1,-385404485,1,-2041053177,1,120824516,1,1947024579,1,1393032724,1,1543464680,1,326418686,1,121161982,1,229639794,1,509635,1,1223165834,1,1527220479,1,47811,1,28969195,1,-1174148352,1,1402732546,1,-855591856,1,549778967,1,-990507403,1,-166890236,1,225706436,1,116070578,1,48962482,1,-1175905870,1,1011898582,1,-1341819635,1,-2955254,1,-1013097640,1,12276510,1,605946628,1,-1023410176,1,1375735838,1,1384140743,1,-461353017,1,-13568,4,-1,1,131071,1,15083520,1,73440030,1,67767713,5,0,1,234881025,1,235798528,1,32,1,18350080,1,16777473,1,6168,1,5242880,1,1,1,1799,1,0,1,402653185,1,353769240,1,285348610,1,33686032,1,151650818,1,84281090,1,16909060,1,-1006567167,1,-742011696,8,0,1,973078528,79,0,1,573308928,1,1802399588,1,1647212901,1,218133345,61,0,1,50331648,1,272367616,1,269943309,1,0,1,-1726087168,1,855638798,1,-1738014448,6,0,1,1729114880,1,-149937000,1,1,1,-1593835520,1,3355,1,603979776,1,10165264,2,0,1,270796365,1,0,1,463739792,1,228596644,6,67372036,1,1028,25,0,1,58327040,25,0,1,-1543503872,1,27,12,0,1,129536,7,0,1,100663296,4,0,1,926233376,1,14128,8,0,1,50331648,1,2353,2,0,1,-16777216,1,1852793856,1,544826731,1,1935761952,15,0,1,1677721600,69,0,1,1275068416,1,542397257,2,0,1,1375731712,1,872021,2,0,1,1275068416,1,574898511,2,0,1,1392508928,1,574969409,2,0,1,1124073472,1,223628879,2,0,1,738197504,1,1414548514,1,220346929,1,0,1,1409286144,1,223235922,2,0,1,1409286144,1,1179012946,1,13,1,0,1,1258291200,1,2120005,2,0,1,1392508928,1,1162170947,1,741351502,1,221260848,1,0,1,16711680,1,0,1,16777216,1,49751955,5,0,1,32768,1,2979,4,0,1,1347420160,1,2236927,1,3,1,0,1,208797696,3,0,1,370016256,1,5674,2,0,1,360710144,5,0,1,4437,7,0,1,3201,9,0,1,269029393,1,0,1,376242176,13,0,1,288030720,14,0,1,2013528064,1,196612,1,-1526164736,1,8,19,0,1,154208433,2,0,1,32768,1,-1324830464,1,-1324797688,1,8,31,0,1,-334939904,1,1678452745,1,12,12,0,1,-1408382721,1,1411419907,1,1226859880,1,1344294210,1,1869836901,1,543973742,1,1886220099,1,1919251573,1,1852785696,1,7955819,1,62262774,1,1700143247,1,1869181810,1,774971502,1,673198128,1,1866672451,1,1769109872,1,544499815,1,541934153,1,1886547779,1,943272224,1,237502513,1,546243520,1,1701013836,1,1684370286,1,1952533792,1,1634300517,1,539828332,1,1735357008,1,544039282,1,1886351952,1,2037674597,81,0],7,[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-268370197,50393731,4259839,-268374419,455298,50397184,-328138752,-457768960,197120,50397280,2087461376,0,2087911427,1322987,6291456,1294808864,942504289,49,0,0,0,0,0,0,0,-930285056,12245134,-1127051776,-1577354240,-661750778,12238990,-842888448,-398364141,-76414888,34507566,12276092,-1177406720,29229064,28333568,332202676,1482564210,721479656,-32213818,-1107185211,-969211896,-259324813,1452671467,786295632,2080648959,-1199749954,844135746,2133110015,-1269429388,506638,-346156851,12305392,309504,-855506504,879894035,-661731188,-1191182145,-2144993269,-2144985075,536879245,-1074535865,1992163328,768381,1973875708,2146063,-1182956866,-1494024181,-1021377931,-394462786,11861925,-115403059,1309281731,1395486319,1702130553,1768169581,1864395635,1768169586,1696623475,-227577230,1699875341,1667329136,-1408382976,1411419907,1226859880,1344294210,1869836901,543973742,1886220099,1919251573,1852785696,7955819,62262774,1700143247,1869181810,774971502,673198128,1866672451,1769109872,544499815,541934153,1886547779,943272224,237502513,546243520,1701013836,1684370286,1952533792,1634300517,539828332,1735357008,544039282,1886351952,2037674597,543584032,5063241,63901242,1163075735,-1742718393,745148192,239861777,1095959508,1162629197,585573459,2248526,64884310,1745690761,241762318,1095959528,1162629197,585573459,575882585,-233925120,-585053949,287361082,-1086713300,739184416,974203921,672080032,-902119366,254547488,546388499,1296189730,247005218,550110204,202320920,-1858465492,1699750432,1852797810,1126198369,1970302319,577922420,101639680,253804292,974203914,168763594,288102956,-14642886,-720426858,685173033,254547215,-1496627,-1206966122,253427753,550110224,439094031,-1858465492,680984352,-383143153,538976290,538976288,1263423300,538990917,538976288,-383639520,254318335,1090529715,-905700849,738987808,974203930,-1761664879,699600680,254334697,537865237,-1761613527,699600680,604993024,253807108,739912717,546388497,254318335,585705907,538976288,1936876886,544108393,808463921,538976288,-1498592,-1290852202,261881897,550110254,439094799,-1858465492,680984352,-383134705,353315030,701304620,680984553,2735631,70782928,252649663,-902164180,739315488,974203928,673325201,1126181187,1920561263,1952999273,1296189728,1919894304,959520880,2240824,71438340,235872447,-902164180,739708704,974203928,1344413841,1936942450,1634759456,1646290275,1948283489,1868767343,1852404846,2254197,72093720,-388095861,539108070,545857741,281614,72749093,608456003,-568269024,1611676928,1126206212,539247693,572661991,-1994339040,269946144,1779456256,1126206212,539247693,-1761664793,689639208,-1994339040,85069344,1947234816,1126206212,539247693,539107559,550314018,-2012340087,276561924,545850494,284174,76025992,1163075735,1173319,76681393,-14147445,269232279,-299882236,3148832,216459305,-853540816,1394644768,-1992669371,84610592,-1676623360,253796356,985676368,739516618,282263570,546374822,1280264226,1414078532,268444193,-1861963759,1331241504,1163011925,1414483488,1230198048,1411401550,1126188360,1380928591,1095911215,1128876112,1330454611,1330923854,1145118802,1163153473,2236754,79302990,1411522705,542329160,1196380752,541933906,1397052245,1095911200,1128876112,1312890963,1163010116,1380537681,1411404613,542392648,1346454593,777143636,293011490,546374852,1163022370,1411404627,1394623816,1162035536,1380008480,542069792,1414418243,1163218505,-2130697682,-1761292783,1195725600,-669936384,-568292604,572712680,-1994339040,81268256,-502160896,1145914116,552017956,297402590,545981676,608456003,572581664,550314018,-502390647,299237380,545981686,608456003,-14620896,453978262,550314025,302915721,300875781,545981696,608456003,572581664,-853532128,237013280,-117439214,-1996158447,81923616,185729280,-585053947,202510080,-1491036923,237013280,469763343,-33223406,1881284755,2242097,84808230,336470153,305332229,549389583,288104207,-1778380500,-1861939182,1213473312,1344295753,1380405074,1377848641,1230328133,542328146,1096172609,1145389902,1396785696,757089097,1398087725,1329799237,1312902477,1109860420,1128878913,975316801,252649663,288100652,1226867258,-870313241,589831200,540705594,302915752,312737797,546637074,545857703,14,85136096,739320008,545995282,1347240275,609437004,1163469543,-853532077,579665440,1886216563,577987948,65543212,547437088,739778751,974203921,8469184,85201638,317587599,549389698,318242833,548210060,5892673,94376712,739385544,549403153,1190937,95032086,626073734,32775208,322699305,545654196,673526084,740922895,673526340,740922895,673526083,740935695,673526339,2738191,96342860,1313087622,472393035,2687276,96998230,-1811013491,325058567,546112978,455694,98308966,326369472,545654246,472393026,2687276,99619732,-414637950,550248467,973155356,1227367746,485156649,266944512,8600256,100275113,287843650,974382889,304620866,-1055922391,68398848,-1157591290,1124470291,1846536024,-754925510,-1341770221,739321888,686434577,738275612,740935439,-335527380,-1341767661,739715104,686434583,254566671,304884163,4604460,105518087,254288048,689384631,823929066,-1022415871,739388457,469780034,-905554924,371987488,572559674,1802399556,2259301,106828850,739516618,-1858462449,1917067808,1919252073,340787234,550110815,254546703,579942937,1936028240,1884495987,543515489,3875360,106959982,336535754,974720812,1631724177,1869881458,1769435936,577266548,344719419,550110817,254547215,579942937,1701732716,538976371,538976288,3875360,107156650,386867402,974720812,1917854353,544437093,541283141,572530720,348651579,550110820,254547983,579942937,1696624500,544500088,538976288,3875360,107484400,-413589374,550248469,-819935473,974393120,-1945163600,-366388948,747376424,168814937,8600105,108139776,266819907,1480800873,6885351,108795173,254288048,688991332,1678715114,700911404,254324794,688991412,-1274074902,700911404,-2045427712,371247622,-1858463956,977556256,739647690,-1858461937,5067552,110105946,1139235139,974514777,1497571467,540807144,-1240588083,359661576,-1996618086,1480796192,693715756,1380008748,13052965,111416710,266819652,705685865,679870443,334203135,362872873,545392302,-14096551,367717256,538569513,2081366220,388026144,-1206539008,471909382,304893472,-1038737920,-417054458,545995486,-1629119,453978262,550314025,537203214,-1742692038,745148192,545995281,1093178111,300296484,-1340027616,1480796192,693715756,1480796394,740036585,266950979,288106796,977682988,266819651,1480846076,545848890,743981864,740907331,626147651,-1002780884,751308576,373030930,545982156,350676825,-31404768,1143480456,693709912,1263420460,12987429,114693721,1480794251,542655719,-380034834,-404350705,-853518013,135007776,-535399424,1495304966,337702432,-31404768,254288008,689384588,2441772,116004506,548420227,743982120,-366380017,-380091352,254550031,288106901,977682988,-2045894519,379584518,12584692,117315246,572560126,860043347,383189026,-1828845816,827146786,1915825202,824929587,845427500,1145975122,1915843890,1815372850,1815180594,-67100111,-33091050,929309330,1684943186,1915909426,1815503923,1815246131,1832084529,824979757,2241388,119281446,1830982398,757870893,1815311665,1815241777,1916171571,1848796211,829567588,829175669,845951332,389808162,-1828845786,1916040482,1848730674,827470436,2241109,120592203,1294111486,757870891,1795170867,-33080809,1145184914,843329585,844444498,741420365,827076909,741420365,-1996479951,-33078249,1145184914,1378960435,1278301489,844251697,826552658,827666764,1310173696,580058631,1110590530,826552908,827666770,1380069708,1144082994,1429294129,399179825,-1828845736,843334178,1144147010,1429295665,1110527025,827470418,827076932,-520081067,-1341693417,288100648,254339625,1007627304,1110191145,1813507584,546307591,304878120,402522153,545654646,626147651,58989608,404160553,-1979840640,304878120,254339625,755969053,1094921257,486548818,-1912108520,-1810357504,788578311,-33055208,810754706,1073750584,-33052648,1109532818,741617997,2242609,129112164,1294111486,757871147,1295536692,757870891,1295078705,724316459,841698609,3222828,129767559,1294111486,824979757,741419853,825052467,760033580,841821233,741420365,-1358945742,-33044968,860103314,861221196,741420365,1278362673,1278367025,1278362675,1295144241,757870893,-989846991,-33042408,860103314,894775628,741485901,573658419,-635906560,546307591,739577640,740888079,418250772,549914596,740626216,975768079,254288071,168766504,419823657,549914606,740626216,975768335,254288071,185543720,421593129,-1979840520,219097120,-366407380,741150504,740890895,625692228,35202816,1140887048,1393036313,1146349380,-902163735,739118880,546388503,1330594338,2236749,135666019,673221118,1496078404,1143532073,269478232,266950956,1143744793,2113938737,1141383193,1156012081,826554968,978970457,-413650364,266950724,429916177,-1979840470,1480861728,739315689,686434649,266950724,-380031969,740890895,2437700,137632193,673221118,1126979651,686434649,266950723,1497574414,690753513,623985452,1041884416,545914376,-380091608,1126960911,686434649,266950723,1497574428,690753513,624050988,1209663744,1479623432,978863079,-413585085,1127897411,1139234866,252701016,1377445120,1344307720,-870311961,-819982048,974318112,-334305446,1357714216,827996713,1525289703,1545226752,545848840,1479623464,1496400684,826485801,-1996604891,1479689000,1496400684,843263017,443482149,-1996617626,826550304,826551384,1143744857,-29743823,843327624,826551384,1143744857,-1711266510,1124626458,1139234865,828042072,1496400954,1525373415,843266609,843310936,472443224,1139409187,-349611982,449773658,826542202,1480910680,976313067,-413585085,-380030653,-358936792,693711171,1144675051,1156012082,686381106,-369023460,693645892,-201303317,-32996326,1126703240,1126979633,740907313,975515971,1126729982,1126979634,740907313,2437699,143530777,673220862,743977284,693711172,623985708,680066618,743977540,693711172,624051244,-1743049728,253805576,-1996494555,751308779,8600085,144841534],8,[1,-413589374,1,550248466,1,973590556,1,457834627,1,985663660,1,68034697,1,460259334,1,1297287350,1,-380808217,1,550124050,1,420424728,1,572559674,1,1802399556,1,1814067557,1,1936028527,1,-2130697695,1,-2113355749,1,317151520,1,471911456,1,-2093349912,1,-904164096,1,-1992638456,1,100929056,1,436207616,1,88167171,1,-976432947,1,239600339,1,21840643,1,-950927164,1,26,994,0],9,[1024,0],10,[1024,0],11,[1024,0],12,[1024,0],13,[1024,0],14,[1024,0],15,[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,49748662,637584644,45155063,147719928,1129449824,49742583,49757698,61954,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1313817600,542721355,1396785696,0,538976256,538976288,538976288,0,0,1868832779,2036689774,1935761966,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,567086772,173849850,-1899459332,-1899983152,-930284584,156370475,-150990662,1959922658,-18429,-1173791581,162793358,431235533,1470243277,-1270807543,-841971198,-1270959583,-1910387454,-167160802,-16501754,521031541,-1274490950,-383660790,-1494744960,1948597253,1947024478,1915759706,1997093967,-259286965,-1265899823,-24968160,-1271040769,222080002,-1968556428,-350106160,-1173768972,567083966,-855401286,201439265,1743331789,66829055,567087028,-512376822,67700423,-1044774911,-853887991,147963681,1006979304,-1432652763,45404298,-92134963,-2115144435,-1962355985,-794679609,86763528,179445518,567083700,-1089941058,28838240,1008848169,1014985729,-1974569729,157000197,163127472,-1359853824,-1054209616,-1089904478,12124289,-1431546368,-85979844,243847670,-1084358528,28311644,1487020493,7126793,567083440,-1609999966,378145120,-771094181,-922862987,-303494795,140557054,-1107217431,11864219,-1979096897,-215489780,-251420762,-260723298,1486934155,1493568009,1962884105,-372047912,115998358,-24319743,-922825986,1537275764,157327881,157877959,113659715,-1169356437,263457120,1453466061,1958742537,1762051963,-967293687,1158245126,-1073077811,113732212,1094846825,158009030,169987412,-1900841536,-1089907706,-4717536,702975,-776033293,48904,-402382661,222037064,-1993991308,-1404878017,1946436584,222079495,-202699916,-2119561808,1912878331,157335262,-1190921281,-1510801392,520536115,-1560011613,-1556085730,883033097,-34543356,158809730,861697279,159491008,1074365347,-1962316125,-1962323434,-853101350,1443296801,1232469769,-1160081890,448004352,-1960894003,-2130093042,-1174339351,666110304,-922869299,1963474874,1544456993,-1898213879,-745604413,-2114199157,855703785,12079296,-397389055,-1161100340,162793334,-2081873459,163756797,567089844,-1174398279,666110304,-895409715,2032905,-388823631,-955678301,617990,281248514,163976843,378130475,-489485882,-754728309,-784610932,1997029306,-834763847,74776329,-645150677,-1910576245,-1261292581,522308890,163974795,-1274453830,690081063,1946797582,1963042832,-524058362,-1159992561,-2115434551,165323263,-955678301,17395206,163756544,567089844,164118147,-1272810496,157334055,-855636807,1975519777,-1036088366,163881225,-1064385277,-13827802,1963575310,164667870,-1896168189,-769225776,771881737,1386285528,1544456969,-1899983351,49211608,-701563090,1577514761,1979711241,129677830,-1006693399,6110850,-1341491936,6143807,-218100807,161266346,567089844,157157063,297009152,-855614278,1958805025,1577517000,161332745,-402650951,45351004,567091378,62464461,5171200,163133067,163266187,-1308602904,-853422816,-1256289503,1960512265,-1312584918,619238149,9627663,567094706,522503050,-1308588056,-1977496275,99143879,1681653840,1680605810,-1174375448,162793358,313795021,45387499,-841971028,-1007033823,-661929933,549054603,-773402368,1122538967,-392981248,345178173,-1175526912,132651792,-389838080,-980746238,-388724144,-1973813247,-789917454,-789917462,190698,-494872950,-1325239281,583925248,818577613,45404458,314778061,-997840960,-2044215278,181715908,45404299,-1031612794,-1977496272,818053846,-1262280243,129678099,6110850,-1274352864,128170775,7159426,126990880,1555696500,-31339264,-1948551744,-35984941,156376718,448057907,521019853,-1275044678,169987343,129678016,-1070341259,-1560248925,-1556086657,109969514,1555695954,1544456960,-853036023,866116385,1017915126,-1265142758,-841971198,-336403935,7126753,-1542886209,-2113302081,58007612,-1543479874,-218102343,1577502629,-1174405111,448006556,297017805,-855614278,1958742561,1580632849,-385928439,800784098,-855002104,-1648639199,158187273,-1190555202,1017905163,-1979550401,-498882041,158114037,91602954,-32942176,-1677313344,-1106217719,-1648424595,768265,196781811,-1167166456,263457180,113648077,-1912600230,856248862,-853887790,857673249,163423168,-1559642205,-1885140595,-1432141815,161266185,157027979,567093172,28327651,156894854,343261194,-1274450758,-1172189930,-1073084427,113713013,67962,-1274450758,169987368,-1161136960,280234348,330572237,-608558643,-855002105,-12457695,156894966,-1592691457,-2136798800,158120457,567087284,157157119,156778114,-1260489471,161266202,313795021,-1157689879,666108923,-855637575,-1610095839,440142273,229640053,70518470,-391331072,-93061116,540853070,1027406708,742193012,154989428,142392003,567085492,-854851144,-511655135,434672,243908907,78708742,100792531,-2135293944,-853888000,1486958113,-1949748471,116797137,1962869812,244002516,-71693996,1631765251,1868767332,1851878765,-842148764,-842150451,-842150451,-842150451,-842150451,-1093808691,-842148674,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,548647892,1444945952,1769173605,824209007,540028974,538976288,548647859,538976288,538976288,538976288,538976288,538976288,538976288,538976288,538976288,538976288,538976288,-1280068832,538976288,1142956064,1162563151,538976345,538976288,-709315808,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,1960168909,1768300655,1852383348,1835363616,611938927,1635151433,543451500,1986622052,1886593125,1718182757,1952539497,611217257,1769108563,1629513067,2036689696,1701345056,1701978222,544826465,539893806,69476398,1750223172,1163003652,1162690894,1158022531,1163084114,1409615223,-1606070183,1163002885,83952717,1498435395,1342572009,1163089217,-2147481803,1935761937,543253353,1802399588,1647212901,881505,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,49741824,689,0,2541104,1396785665,541147977,1297040160,65663,16256,1049348,13435054,31,4161536,0,0,0,0,0,0,1297040129,538976333,1396785696,0,0,0,637731840,1114113,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4194304,2097152,-18113778,-234360832,247464917,1572887,-234360295,295043136,4198434,4201377,4195119,4198806,270667812,105713700,-167752346,295105094,684993700,-234686976,-167760758,250475014,802684928,1074198016,1285172357,116932599,0],184,[89,253759264,1,255987529,1,253759309,34,253759264,1,256904992,1,259133285,1,258936691,1,258019182,1,253759340,1,258936643,1,259002221,1,259264373,1,259133285,50,253759264,1,181209813,10,181209805,1,253758136,8,253759264,1,169872051,3,169871904,1,172952132,1,172689998,1,173607493,4,169871904,1,253758131,8,253759264,1,169872051,10,169871904,1,253758131,8,253759264,1,169872051,1,169871904,1,173410848,1,175245925,1,174656115,1,174983791,1,170986016,1,170920494,1,169871920,2,169871904,1,253758131,8,253759264,1,181209812,10,181209805,1,253758142,47,253759264,1,256053032,1,253759273,1,258936643,1,259592048,1,258543474,1,258477927,1,253759348,1,255987529,1,253759309,1,258936643,1,259002226,1,254873376,1,255332153,1,253759281,106,253759264,1,242355792,1,242421349,1,236981875,1,242224755,1,241372769,1,236981861,1,241241698,1,236981874,1,242159220,1,241372704,1,242093679,1,241766004,1,242552430,1,253759077,23,253759264,20,251662080,524,119539488],185,[1024,119539488],186,[1024,119539488],187,[1024,119539488],246,[-394358807,-389321817,-1043634942,0,0,0,0,0,0,-1808911616,1534289933,1712675089,-1894367689,-1240404719,202569744,890293806,756113169,1343440942,455030063,1477574189,-1860440034,-1104247518,1393016327,773014302,-1979711457,-1676583138,-1557226194,-550571218,1477617974,-1205716718,-81602542,17825295,-653261808,809305108,6135869,0,1061005568,69508644,1816351296,-834572991,-413978815,324871762,692466502,-782758568,-1824010937,391129681,-1524012972,472494377,-1770094491,-2022641283,209325688,-194870157,-847598215,1026264186,-400852450,-383379672,187234345,1193443369,304483625,-1390709466,-2106896021,-94004117,307664981,-1740324777,927247428,1459701761,-1274967295,-452863743,-117312511,369235201,1342315010,1828872706,-1459452414,-553473534,973284098,1292059395,1761830147,1426287107,1319817044,-750588220,248402950,1426259,-984202925,1095716034,1162200004,1325450704,-1076736180,-984395956,-733065285,1095060633,1381208786,-607237812,483675721,499600979,516702788,1208800079,1092002898,1286851660,1157677267,-984332980,-1051442775,-2033366652,1414743621,1178971346,-1378595255,1314080325,1178971847,-1345568188,9946693,-1580903604,1384236110,-1513794751,-1496037052,-766553518,-724807001,1490408018,-967898160,-237612765,-2100146432,-984428082,534268175,-816558336,1411403657,1397721551,9290325,446978117,1431326208,-1949923884,-766225586,97799896,1292947534,1263465168,-559654587,-649789440,1129251017,-893037503,1313428048,1229757908,1352586323,1159451471,1313442004,1095741637,1397341380,-951086124,616779530,1158860357,27546694,2475599,-766553009,1196574145,-1001407035,-1539028493,1480916995,-683310124,-741060716,-834318336,-1663806022,-271411762,430199875,1330205776,-968443698,1230110941,1334957134,1335412043,1162154451,1163073483,1163052756,-942389933,-733066929,550389212,-833290240,1431586186,1166986834,1166525505,1380930643,-851079995,1431520655,1235797325,-1537980345,147082754,-850047419,1145979307,1514753359,1124121029,-834321070,-800107320,-801024112,-984202844,-1471983426,-800762670,80627663,1225249361,1381239246,1381241764,-1538830775,1128354006,1327014981,-993767851,-884782764,1230132257,1207968455,1389219397,1386401359,-1547286961,-827833791,-834548529,1230176269,1406650190,1090572498,1379996876,-623750064,1413761280,1229037768,1229493972,1169278284,1387447374,-1211804599,-254652672,-1426063360,-1427460631,-554913813,-1477124883,-1108951335,15252711,2088532345,1011241087,2071603250,27522,1681615789,1722313553,1817404163,1702126368,1662608146,1663591233,1667916849,1669948239,1706301655,1480936960,1769414740,1970235508,1329995892,2035482706,2019652718,1920099616,1375761007,1381323845,1769414734,1970235508,1330061428,4347219,544503119,1142974063,4281409,1701604425,543973735,1668183398,1852795252,1818321696,1984888940,1818653285,1325430639,1864397941,1701650534,2037542765,1684952320,1852401253,1814062181,543518313,1651340654,1392538213,1668506229,1953524082,1953853216,543584032,1735287154,1967390821,1667853424,543519841,1768318276,1769236846,1140878959,1936291433,544108393,2048948578,7303781,1701604425,543973735,1701996900,1409315939,543518841,1836280173,1751348321,1953844992,543584032,1769108595,1931503470,1701011824,1920226048,543649385,544173940,1735290732,1920226048,543649385,1836216166,543255669,544173940,1886220131,7890284,661545283,1868767348,1852404846,1426089333,1717920878,1684369001,1702065440,1969627250,1769235310,1308651119,1163010159,1162696019,1397051904,541412693,1752459639,544503151,1869771365,1851064434,1852404336,1818386804,1919230053,7499634,1936943437,543649385,1919250543,6581857,1701734732,1718968864,544367974,1919252079,2003790950,1986348032,543515497,1701669204,7632239,1769366852,1176528227,1953264993,1380926976,1953060640,1953853288,1480936992,1968111700,1718558836,1885425696,1056993893,1229477632,1998603596,1869116521,1461744757,4476485,1145980247,1953068832,1953853288,1229477664,1174422860,1145849161,1702260512,1869375090,1850278007,1852990836,1696623713,1919906418,1684095488,1818846752,1970151525,1919246957,1818838528,1869488229,1868963956,6581877,543449410,1701603686,1685024032,1766195301,1629513068,1634038380,1864399204,7234928,1698955327,1701013878,1328498976,1920091424,1174434415,543517801,1701997665,544826465,1936291941,1056994164,1140866816,543912809,1819047270,1886275840,1881175157,544502625,6581861,543449410,1868785010,1847616626,1700949365,1631715442,1768300644,1847616876,6647137,1766064191,1952671090,1635021600,1701668212,1763734638,1768300654,1409312108,1830842223,544829025,1701603686,115,270451456,1338462720,1338462848,-889133952,-1,-1,-1,-1,-1,1342177281,124911672,118489086,1034,0,0,0,0,0,1792,2098951,0,0,404226304,0,65616,117899264,0,16777216,16842752,16843009,16843009,16843009,16843009,16843009,16843009,544106784,-9744640,1916928013,7037285,50332859,126501852,1974549571,440583,-236201725,24412732,1125092035,1396912010,-770975349,74766983,-633611641,1526730937,-654055820,-1246113813,9562376,512460493,-947257298,-1057045726,1335888244,-1296037373,-380799725,1035085501,-1187401031,-1296484686,884128053,-1187794247,-1296482638,1085454647,-1187007815,-1296485710,984791363,512434923,512295735,45219886,-1190415687,-1296498254,313702666,-1189825863,-1296496974,229816598,916635698,6267397,-1576770910,512426080,512294958,-1070464185,-1576770142,-947256213,-1057045726,512296052,213451593,1159629576,632416515,-1966962087,2663114,54730379,55254665,512481927,-947256505,-1057045726,512297588,-628685996,55975561,55385739,-628630773,1946374075,1963401739,-2028995065,108259802,126402610,149475722,62176036,-1031108659,141771836,108212796,108142396,321661104,-1976643446,-1073069305,1129052277,-227161346,1193184083,-561553917,780717398,1060898698,-1151662475,-722795596,1534246632,1006632634,1971965402,1978591491,-1021130870,57983230,-1336108568,586279167,-1966253648,1872937010,1010558976,-1155294488,-1930950867,2662514,57999916,-852627736,-17525,3022473,167984800,-1958120256,1392721694,1516004840,24635474,41036464,-1394073424,679798818,839807834,54436544,-1070419733,-352108894,1092520725,1926890243,-105229583,1524251647,512354419,-140508353,1958742529,766044586,1915245032,99215522,-922828546,-392390284,141756205,1965462504,-25761533,-1979434776,1965046791,1542514691,20047954,512335194,-1932721341,1877541746,-397323717,-1326957074,-1665136123,55121545,1912664296,1973198089,129034499,-1672364022,447604819,1364827483,-689437837,1386043928,-1604696204,-1073085333,512428149,512295690,512426799,-2023881896,1398363870,-397158141,-1990501611,-2029823970,1497336026,1128485722,1128470409,1224784058,-1958131383,126397682,-1974910397,1975847617,1519242738,-1962926360,-1996166882,-402435554,-1899158711,55713419,82386569,-1946232599,-2030030818,-1963029798,1124567770,24446730,1128481731,-1073084534,540807284,188544371,-35065486,83486724,-2025591573,-350778918,47828,1008170066,1511224364,1376134120,742137204,-1343743628,41216547,-88462276,-402426625,125044236,57945148,-1979882519,-2029831394,-2023859494,-1957472546,-1962921954,1124567755,1268713226,1133868190,991923011,-1948677158,-2005600993,-343575563,-1564462366,-56491267,-1181758206,-1195769541,168266240,-1155500608,-1014365888,-930430678,-988100726,-1212422006,-1950338560,-1958565126,-1958565126,1019456250,-385649374,540803123,-56620684,-1967126014,1127183367,39118928,1949969496,1967799302,-1576947704,-39714052,1968516098,126505132,1951973386,1946630826,126505178,36497475,172223723,1267890368,-1850720452,58020178,-1174347031,-756546709,606726158,787022707,1589269249,2156555,-253215115,191019523,-1342171672,-385649271,1706688520,583691,-1917835659,11397465,-1406209397,24494090,-389510461,-1053159787,1111750261,1330113259,1330905120,4347136,243263579,-1148138157,1093402883,-930430974,-654114635,1528269614,1726501699,-1949791730,615263986,-385649281,977469867,-1957661247,1118580466,-495337462,675070346,-225763980,-784552914,-801368716,921178484,1949187086,365422595,57802928,1476492009,-1406209397,-1073049139,602473337,207247616,-5222272,838947304,50176704,21555288,1543418601,-1406209397,2042628674,-1913961737,-1832038325,-1978921798,787647432,1958742700,-1053146601,351007605,-1448367476,-1579898714,-1986096246,9293198,49004594,-39714384,1515804674,1968218428,16443395,1974549592,16050181,-650319440,-957807756,-437760000,-393236480,1347944674,-1963020823,1949187079,1916419086,9496835,57880636,-1610577431,-1073085699,1515784074,1659437945,1009218814,-385649362,246480473,1375776232,-402396952,-2023882499,-628664610,-1679244406,1539803648,-385837592,1364393471,535299978,14674013,-1605150119,37487355,512432757,-947256157,45137930,-1014362507,263453578,-931984836,-873787132,80269392,6088731,-402349125,57806415,1476698043,-402159024,1129840714,-193607426,-38934181,1107520186,-1406209397,58031908,1107323881,-225769670,-344609746,1006661609,-385649626,-397148731,-396688885,1211894999,41225136,199756976,-397323776,-380039975,984678236,1118501515,180456009,-1023314747,-1679222862,1536413178,-1563886005,1515782909,-401825560,-398196770,-253227879,1022653217,1007186746,1022128944,-370641874,126549299,175317052,108267836,41159228,-1605361488,-1057094915,-922877324,1274978281,540805002,154990964,171767156,-1018957452,966943920,701687811,-417311256,991332690,50044931,159115344,703091544,72792848,1532380648,-397190822,512295837,45810485,-388234496,511048051,1263720707,-1974782070,1396917015,53812875,1515969083,-1956977291,1159629283,-2024099581,-402083366,-1957486877,1577268510,1398201991,3022475,1457424222,-870322712,1963793128,-104404733,-1041693838,250125561,2018745609,1894659,1583188712,-1168712057,126484481,58052412,1376834792,-388331693,669734598,-396553496,1364940209,-2130658990,-695537270,126522573,28364604,-806875531,-186100984,1435756636,1533874920,-930459055,-1978877208,-397717016,57933995,-386316311,-1595402623,-1957473536,-1996203490,-1962922466,1577270046,-1252598137,-2036379262,-997830460,1355056799,-806763386,1367520612,-873905429,-116200968,7727299,-1781706517,-384867351,-1073085739,-1975260299,118113031,-1958485900,378094359,116785198,1962869878,1538282278,-2028156184,1450240218,-1058513488,334191388,-1679255859,1160153373,1126074627,1007127043,1136620858,977012618,-390419598,-1535880690,-1418559188,-1569502660,-1073552334,-1748111221,632618798,126501632,24263228,1948269763,1007186676,-1057032912,180603134,1023112384,1014133259,-1610189538,-1073085696,1947221187,-1572646852,472646400,-181651085,-29620365,126491509,-31553213,-1979664638,35555800,-1576882173,79364865,-1073063936,1124567747,-31553213,1066027778,938009067,-31552768,-23860478,-1564421952,1364329217,-2029845830,-387413286,-628665069,512318041,-1151859970,-1073086460,1913208003,-9836285,-17485764,-1010237760,1006829728,1008169743,-1961659891,1963131422,1128481546,-1975314550,-371554505,27284586,50045443,292816956,50470539,77799049,50601611,77930121,50510787,-1303077399,45267203],247,[-1190874439,988285106,129939743,753234513,-1966568895,-16389912,259385916,-385941784,-797827295,-393592532,-1963003160,1925262021,1589706435,-1151934841,11862880,394844419,1976106563,126508025,-1468715972,-335622424,-20322123,2031006696,-385502565,126547834,378220092,58000201,1274983145,1023323880,1006793742,35031821,-385649405,-1070399841,1258487970,-402652998,24313491,1352618947,991533243,-1977912614,64654078,64685018,1490748378,-1976554338,50378448,1541048282,-1638345237,58049371,1008499945,1007121422,-385649651,1978151075,250132764,61939435,-400817432,1398407061,773753683,-561553920,-1618104234,-2041527162,82530756,-8656815,1006829728,1960478477,1947090108,-155260669,-1957438841,1577254430,-396960121,1396899921,3022475,1935399483,-112203773,1189610354,1225618425,1034030512,-51881213,-1009153262,-1545008974,1972948470,-385894666,-477366790,54861449,62033212,-1947663500,512318454,-390397906,-561553906,-1319391146,-1325208774,-1979665152,-1966241087,-1326953496,1958742781,1959082686,574374842,-1057035916,-1943212940,-985995403,-259340782,72933355,-401282301,1609049564,378136348,-1605237957,-397409541,1582826885,-1974018425,50045160,-980761286,635962996,50044940,1006937018,-1174179323,1012073631,-1959693053,1392812830,-1961391293,989868062,-1961790502,990075934,292772570,990063803,-1341492262,384231514,870898311,383707156,1457424222,1515372264,-1489190053,417870453,468510973,-27268983,225759755,-1963438104,1540459253,334037874,1293322751,-1596296701,-1073085617,-780877174,-1979701088,-170989104,-1978866200,1021872647,-402295667,1267276722,-906048886,58049930,-386090519,742194714,-286546059,-1962717254,-1073042190,1760101237,-1564410123,-91553752,1007127210,-401574781,-2055864843,57987595,-16879127,-402199616,24444055,1260293059,-1948612861,-1996273890,-2030031330,-1964149286,1975519751,1128481540,-1293335741,208726270,-1073030539,-1528233099,-182392323,1375734458,-1645731980,1591379965,1951850119,-388331754,-1960043738,1946370326,-40638456,-504822924,-1965389836,1975716551,-42866429,54599305,1526939298,54468233,-170137255,-1979437848,1965833223,-65411069,91523388,-853874200,-756526261,427055953,1979451112,238863105,-857144459,1947024637,-69146365,50470539,-402540861,-1073021399,-454494604,1973501179,1976499954,-388895762,65732970,1261542376,1979436776,421390339,1072235381,1977039873,661383427,58052156,1006676969,-385649198,1012072612,1013806124,-385649349,-396820201,-397212759,259262371,-396541464,130421442,-1558279392,-855114236,-1558279271,971526916,-401771492,58196273,-402640407,65750401,-1979700832,1958805224,471787555,1726482292,-351827387,996730883,-1073065125,117575284,-33262603,1925528264,412739587,316598363,-9705125,851024589,-383874304,-388431100,126491624,715135093,-387413504,-12829902,-986051468,1827144562,-385650152,237764743,-789119885,-397380885,-236389625,1011898378,1241609426,-1073035638,65602424,47616,463923283,-1628959372,-385648640,-286785515,-1610355900,-662044631,125092094,2095579319,1541048145,689545704,-768845749,-1189907373,512426034,-654113559,-1977913368,-402426617,-789169474,275956226,427081982,-1978140952,2043215554,911619,-393559810,417865904,1976434199,-1998038023,-21173766,-1070425139,-397323693,1515793542,-125124558,512350346,-1017445143,-1614794157,-2041527162,719972548,-488045708,783897586,-1241337344,-1999043587,1526771767,-399907095,-1073074637,1954888899,866314499,-2061954584,58008380,-399496983,1944591664,578480128,1380926696,480766035,57891162,1360610793,-402606766,-1336209083,-57415421,1684361791,1919295599,1931505007,1953653108,-1975320563,1975519751,-225253117,-227204548,1526766569,-854791333,54173852,57982986,1509061609,-401272645,512452107,-389872829,-1152176236,-521600522,1948466176,482273522,1360366777,11543100,1604517808,-388008700,126488795,175451196,1604501554,-107091964,1877476587,-397198568,-1017442000,73375827,175423498,216547248,-400510954,48764423,57891100,1360568809,983744562,738706947,1398528647,-1337241006,54108800,-386310424,126493349,1965571147,11879200,1290323454,-385649159,574419432,1172898677,1948794111,1965636843,1976434409,-114169627,742131572,-907476108,-561553679,1007127126,-385649620,28376881,-402347614,-1449131934,1959329284,-14685949,84797523,-1930951819,-397714670,-2023819013,126506718,-1955320772,-320320677,1539312376,183042932,738707199,-1957493013,218324510,983744562,-561553917,-402330794,-399763550,-2023874280,-1974315298,1949056007,54173706,57982986,218139625,1386397746,425912324,-1947663500,78243886,-398953136,-259327845,574417034,983567988,-1967126013,-1241352976,1261221178,1477424872,-930479356,168055456,-1023314496,-628637302,1578551995,1381424775,-386207511,1348008035,-1682373316,57889046,-380438039,-397716739,125106255,57945148,1593729257,1263984263,1962426088,-9705213,54173786,-628637686,904463220,-379891177,1659436450,1975519994,126501653,-1308161469,-385649404,-1958481714,378094359,149422903,1971600632,-11540003,-417933848,-402651927,1260918478,-1320025930,363194369,-1293378099,-1564462591,512296104,512426834,-1973877934,824084743,1944468483,-381893887,-382962318,209047690,1006828448,1975683587,282519811,-445445060,-1241284421,-1965423872,931802821,-713832902,389986641,-842626479,1954495646,1917926500,1023288429,-1603832710,53215995,1038680949,-4191504,2030347062,1173763,77936383,149488506,-1623785728,-1590231292,-1979513852,1374194378,1360536505,53550731,-1224776727,1927687168,1929591860,-805225424,986067664,1945144006,-270604029,53550729,-336120088,1399187680,-1186187288,2142659881,-397227541,1398428595,-350539335,1019579070,-1023315356,79319633,453229412,51505235,1994982260,-1558279169,-927378684,1503456037,-56442486,50044930,225822010,678691388,58000444,1929412585,-1963947463,1946696901,1019644462,-1973980152,1946434757,1019644518,-385649405,1702096764,-1258050885,64553728,260714201,797584963,-1558279334,-389852924,635982604,512318284,-1990523743,1493475102,1264248922,-1152190488,-56622186,46190594,316181187,-1966921017,529215224,-980753409,1274472528,50045528,-747371460,-1558279845,-388895996,1515803287,-352083781,1642617805,1248192587,1531652328,77930121,-1558279845,1407576836,1357437575,1172855626,1246357579,-397657111,58062387,1945036009,1355606275,1914064616,14412035,57876540,-839483415,1975582367,23783683,-381892354,-365111948,-1343683723,1965177856,221112579,58053436,1006759145,-385649370,-717487919,-387445643,2662645,38004819,-734215333,-655880843,512447477,-135789753,1019435850,-399608358,-1679231545,591144980,-1192751755,1088967429,1541048102,-402652183,-2081939719,-2024593132,1977289690,-153229053,1531678184,1976581315,33614083,58054716,1007717353,-385649208,-600032304,1290339189,1977498670,318368003,58054204,1007644905,-385649275,-616814024,-1528233099,1976646715,41871619,-386047768,-1020718034,1575517622,1377733629,-689417469,-389850269,-2024596076,-1558279718,21096452,-1343749260,-1966908598,1918974983,1937456377,-1017174795,57943612,-1158255383,417857536,-1709835,963923772,880101436,-1975319115,-2758649,-2028655896,1007317978,743273274,-347508176,1934048262,53947459,64685019,182125531,-2015851837,1976434394,-309532207,-187307957,611572359,57817148,-1175622679,55642064,60584667,60322523,1502900955,808190133,-654063478,-705963385,-2025154072,-1975270438,1015098375,1393456391,1022663400,57957160,-1337335575,-805260025,1372097216,-1963686168,1929723073,-58464222,739463656,-2025220888,-1558279206,-561553916,-628665514,-2029754904,-561553702,-400430250,-2023817474,-1014343970,192023612,-1580393668,-402427053,-1168420741,-1336796715,78160385,-855590471,785974176,-822204417,-2055935428,-2123092676,725403390,1019412853,-1610910487,-20734389,1505759936,-16464606,-118964198,-1240470711,-65869734,-145714456,-1558279725,434723076,50045180,-922875844,-922826498,1355123395,1481668328,1970945114,1250552067,58030908,-1186437399,1011967244,184776006,1346159578,-635239563,1966881987,-1009110269,91566652,-738731469,601094083,-1009518630,-806757845,6529096,-1343749141,-1967063501,-1967115560,1233447416,1375743720,1593717224,-1957241209,-360425,-1125579915,129699572,922702693,-1605237936,1011876603,-402426621,-2024272649,77839322,-211687221,1006633145,1007711003,-401837551,44102483,-792720893,-2016900400,1227738,-628631293,-2496317,303097938,113436903,1457424222,-1017440375,-378220484,477417788,1393687016,1158804968,1192358376,125098636,-418256408,-1996055576,-1023193066,-402525208,-628686368,-628680823,675022730,854131572,-219027211,-1977925656,1965636615,-182195965,739359208,-907481365,50044929,-1991196662,-2029825506,186616794,-385649189,126544756,57944124,-402600215,512357051,-628686031,55713419,672237032,1397801010,-2135893369,-402441822,-628679952,1457424222,1342372768,-90445742,55713417,824084827,1105745923,-402345727,-121958345,-1948515329,1207560419,1342372768,55713419,691799946,1005065076,-1957483503,-402444002,-349433550,-459122511,-1073063933,-73249164,47874,-1075258365,572231,-477373437,-33311910,-225752381,2025851564,1246382838,33749920,-1595372861,-930479132,1681704194,1424556914,-1014345485,-423952203,-1965489405,14674120,1360840121,-191239855,55713419,1408367336,53550731,688966120,512316080,2090861361,1342440451,-930428720,1477416680,-789133174,-661995266,-603717705,-1168907381,-1628961926,512318208,512426874,512295908,-880082052,-1174176069,-2031615002,-1963423232,-467760680,1344178947,512312068,-947256240,1302512394,824085252,-107943933,-242358197,703136628,-41031446,750391669,-1558279421,1926904580,142403590,-1962350872,-1979483618,1137937143,1125091907,1094791050,2059092289,3139587,-477373817,72359563,1344178507,180849156,72196803,609441883,59554567,11913354,-51848957,-1950131204,126397682,-1974910397,1975585477,-1957444622,1124085278,1968954123,-385043724,-404166194,-2135895793,167983522,-372733433,2117867867,-1645673612,126501865,1971534915,212134147,58040380,1010282473,-385649246,-2115422016,74836201,-370353529,1642659129,-1477946876,-873976817,-389850624,-1007747088,1392503784,1258336848,1961933544,260892679,11593772,1592822360,-1604919673,-1073086370,-628683915,853182444,1959142082,-373072914,591194420,-1763165068,-57546504,2112378997,-1228502496,181466624,-385648192,-796200525,256436306,7137324,-997810342,1405388368,46303826,-1328510272,-997810412,-372996528,1357389832,5040368,253814864,4515884,-397257896,854073543,2042628666,-244193021,394811971,787006299,867756032,738208162,83653390,-19859940,-1564343616,-389873622,451473427,-1662495752,1541048140,-1073035638,-268310333,-386397976,57999339,1274098409,-1963986200,2145960898,-387429387,1503841775,1374352104,-1960306200,1258502942,1961875176,245950478,532932652,-1070464334,-1155426584,512360447,1978138670,-1341819632,7315969,260725339,1127189059,-1056258678,1038680949,274393321,132645749,260722957,1127189059,-561553839,1004177238,57891290,1592336105,1398201991,-1982167215,-402437858,-1973729878,1946762247,-400510971,417860595,33012480,-402651672,-1746203469,-1073084534,-389873291,-347924631,33012211,-1070399562,839056546,73310912,-349734424,-29146874,-1965067058,-1950348793,-696997127,678562620,-796254148,574371954,-56620427],248,[-1576979454,581960444,276118076,-805110624,-804818216,-1560468272,984613628,58310666,-1979695895,1949187280,22538249,-1070463885,1587550443,1958742532,1975582223,-1960792053,-29250823,-1023314482,1587675568,1019382276,1007120907,-385649888,-108330697,-1602032726,-657456388,-657439886,1383323856,-650377334,-1514450605,-814394592,-1393456311,-948613828,-1393456311,-1082833604,-1393456311,-1217048004,-1393456311,-1351271876,-27568040,-20513082,-339280186,-1973724883,-13244153,201522336,50110978,-1597784014,67896060,-791612437,126543730,58033212,1023402472,-402426481,126549989,126533886,-1975319179,1132405767,58040636,1011087592,-1979025999,-381926649,24424880,1381061451,918266829,-1310160383,1136787008,-745867382,168266286,-1611500352,-193356221,973572654,-2014808635,1959804122,-1965999102,-1973855551,-1609796144,-1073085346,1587675312,1008069380,839349595,73310912,1587551723,-1329591804,73310975,548408692,1101724043,58052350,-1979341591,772205506,-1975318646,-1954601776,-29250823,-385649202,-1039530611,-1472403079,-1070463627,1527013026,-385981207,24251839,1915763907,-180732677,-1998042173,1347506925,1492001256,1361163705,58002236,1010983145,-385649396,512442979,334037762,-1604691633,1337066240,108268348,1219628092,649073781,1101724043,-1066086658,-108281206,-822197846,27309684,-1308345341,-1308200448,-1308462047,1007127075,-402426592,126501714,1958742595,-1426486486,1959722561,50438287,-361626564,-1952560737,1100983537,1006925214,1007186990,1006924868,-1294764731,-1966085376,1958742722,-1426486519,1976499777,512475905,-1360461058,-403576579,32893009,1364286041,1944592616,-1963488757,-561553709,-633646250,15270770,120437742,1499002600,1577704891,-2024350073,1478396890,-1393390845,1101724043,1977236290,-1982231564,-1023191010,-402640152,-1910627133,-1979494370,-286712057,1501432,615639122,738941416,1526496744,1342606854,-1426420989,2062074631,82334708,1541048064,1806547395,-127276975,-1530005896,1006937760,-387091056,-394766165,-1186430232,12226944,1077602560,1358957241,-712313462,742143348,-397276300,-292885132,1952107146,184608806,-312022996,-396878476,1378618102,1961715944,-457774845,58053131,-2014491927,-561553702,1373275990,1525107944,1189630290,1524206567,-628630981,753468275,1482250989,367743571,57923843,-2014503191,-105163814,1541028863,283706227,395006701,-628633077,-1978895270,118113031,-2019669089,1372943834,1493181672,-1957536934,-771013865,-628681612,1457424222,-1992041849,64653079,1541048281,-1246108437,222056712,1034076210,807308035,-1975301376,118113031,1136853365,-398256245,-1073026181,-930419596,167984544,1958841024,1017498971,-401050201,-1992496285,1558766709,1963867371,-1394060579,1976699884,1009380106,1389131022,1408016104,-1612280600,229678665,2028486514,603765512,1466558546,1096869979,1364417369,1531007464,-1544860838,1701080661,1701734758,1768693860,2123118,-361427652,-329127854,1138394963,260719427,-1339061693,603437838,-31552685,-2008329470,260590383,1527220299,54370499,-126566390,-385922583,-398325326,-398390866,-397211222,-1606088282,-1073085347,1860764532,512447459,-628685990,56368779,57989691,1541627113,808191882,1240007539,1912749283,-482154237,-33268574,73245376,-1008036120,168266286,-386370368,-347930621,-997810189,-372996528,158598937,1408402664,-347666712,-759475424,1453713444,1510793704,-1880554637,-1975299575,1157687303,-1073084534,-454499211,203327814,1067378688,1632813915,1836016750,1836412448,544367970,1684366707,858597408,943077170,544175136,909586995,-1325389513,-1325208803,-2029996774,773753818,1511950592,-19233020,216550341,1008170218,-401902302,-1073026557,574360692,-1589840523,-851698316,-1073027979,-1975315083,118113031,58053002,1138925033,-1992091765,-402367978,-1891833385,-397342859,-346428399,1971600601,48779527,-823436820,440189322,225707914,-1552633540,-1586122180,-1653223938,1954692291,1971534998,1959657108,-375527181,-628643724,3022475,1511951187,773753092,1373275904,1494341608,-377362357,1948592826,139520008,2042252076,-561553883,773753174,-1018012928,-1465888609,78225924,1352638040,-1465728974,-1013032956,-1979524120,260719367,1513065027,-689418159,-259368958,-1975314550,797590287,180521563,-1023314490,19711626,-1070401166,-1057045958,-822152845,-242496770,121258412,1956529055,1927935452,1039657023,-51902229,-402396355,803752622,42592256,1361647545,1396901770,1526770664,-1975316598,911407,-388461997,-1017511333,-1779957328,53263104,1124567123,-1017440375,-1977436853,-5155851,-33060285,1958742721,1959148040,1975859716,1965178095,-390993917,1019578963,-32672468,1959395009,126503687,-176938948,-561553829,-628669610,-1259814518,53263103,512447152,512295692,61867171,-402457694,800734743,-1982186749,1526926366,-1686829174,-385871686,-398204638,-320274542,1048373249,-822163714,-242514572,81389740,58002748,1090889192,-1073025813,-1638399253,512446623,-628685988,53419659,-930426634,-654049355,1926904643,790530319,-628669693,1489215064,-1013005178,247111256,-385649408,-1069883190,-625389409,512446758,512295690,12256047,512447232,-1152187556,378209038,-633666804,1948723897,10283267,-1996234053,-1962652130,-1996269026,-1962652898,-1962715106,990137110,-1977912102,1128481543,323348560,1963146328,7464965,-796213198,-637337418,512482795,394986574,512479755,427033434,512350855,1128465486,1128470411,-637281657,72031881,-1209279865,1544981337,1977236227,7137539,1346570122,-118996157,1125091858,1480798090,1020855123,-1981975293,1526936350,11865994,-654059261,-1948612797,-2029833442,1960459226,667269572,180367953,-1639735545,1134499722,-1623749986,24485443,-1949594685,990064414,1926859738,-2023859213,-633645346,1457424222,1943636819,1482185187,-1018080685,-620012710,-1974732428,260721455,529156947,-654114633,-779422326,-1949594805,-402444514,-2007286624,797459215,-380905077,1397882592,77799051,1457424222,1592828136,-396960121,126499821,-1558279341,117592836,1929383866,-545724157,1526586344,1577076968,-396960121,-1957494721,-2029834978,977114,-1157624856,-2023876806,-380414242,1583087111,-1974018425,260719367,-1976595901,-20709672,-1023314485,-1951600245,1111599866,-1830227477,-1558279365,-388331772,-628686816,-1974278795,1255246581,512429962,-633666769,-1070462347,-654055286,53419657,-288504997,51125899,1261406795,994774922,-1980860966,-1023210466,1360756665,855619560,-1963947328,-1010824697,1360756665,1979706856,-413800189,-1961391293,-389829390,250150190,756976630,1494714371,-386043159,-739711489,-135780348,-873966859,-85447676,80013549,-561553879,-320318634,-402295567,65795553,1526708712,-402651672,548468181,-389903792,-393544468,-20578728,-1950583603,-2013057762,-838974713,-1343489675,838902760,-561553728,-1329034666,126505811,57853242,-1313159798,1374179584,1398495741,1127189059,-578142326,-654114635,-1461138549,-388461828,-396689673,-387318003,6744316,-225750438,-339400020,-1965389892,6088711,-838941186,-1729559691,-1243065882,-997828607,-561553762,695581014,986250833,1912648967,-930430207,-1054210166,-393559494,-359992462,-16717629,-1897331851,1137740529,55779211,-2010150182,-561553865,-397717162,-1092033257,-2007279297,-628636881,688120296,-1974379943,15254506,-318510875,-1326382360,376721409,-185341864,58048522,1357260521,738442728,-387126040,-1276626435,-1957483517,1577362206,-396960121,-1545016103,-397203197,-628621744,1364745049,1365575609,1360756665,1156076112,-1973921026,-1966539032,-1341703480,-1952288000,-1073042190,-1720400502,-1975318646,1066025775,11918730,-1054156541,1381099658,1457424222,-1958539382,1381194519,-1393390767,510986042,1959394882,-838974708,1515908981,-1070441895,1515871171,717589081,-20905273,1515832256,-838974629,-437530507,671293928,-401827864,1381185889,-1958487417,1545505559,1926904579,807308050,1943681792,-397190390,1398537006,1530511080,1457424222,738390504,183768552,-385649216,-1974409909,6744071,-335222702,-41228205,1499191943,1592298072,1398201991,1583679419,-1974018425,1958742721,705137296,-385649723,-1057037029,41075002,-846544502,11913726,394937170,-1975547325,-1965489190,-628663576,-1958539382,-1965390049,1975519937,-225721599,1107789996,1959394883,1976434420,-5061647,125053244,738357736,-386689560,-1020722582,1961858792,452867,-386067736,378272636,512426844,-873921745,-1615540753,-2041527162,635982788,-385649660,1482364893,1369359494,138170527,1743261813,1958742563,-389480935,145761123,154941675,548409461,-385889560,119808846,-1638337419,540853081,698359922,-387413504,-973200582,-838988940,58049850,1946186472,1962884105,-390005243,-1638391001,1481678681,578611358,-390738493,1031013308,1930933992,1397903859,604321440,87466696,1528351976,1805670746,1958742532,822798595,168095648,-1157139264,-380432664,1364394221,120437586,1515127528,1527623769,554887363,583854275,-126566390,130419691,57337856,1963062971,-1330197241,-13768691,1946377192,-1010814461,-1394032590,-1010814430,1587591117,1975519744,-991378687,-402426369,-1863777828,-495065087,548399187,-1326964364,1975519999,45109264,-1946579992,1510157598,-790030455,2078822649,-796239623,-1141093656,512294918,61867171,1526922146,512447427,11862794,-654059261,-1020647760,-5187446,-125122790,-603781518,-1023315109,2891403,512314187,129631045,-623580928,53419577,1381099891,-100210605,962157147,1929588510,1977871322,807308246,24766464,-1576770398,1034027838,1124567043,-1992095864,-855418850,807308206,-1345500416,54206089,168060320,840398272,73245376,-1258005342,56671002,130461901,-838974716,129693813,768768,842516200,55550656,-125118326,55385737,55975561,50994827,168061856,-1996196416,839069470,8186048,56106635,56237705,56368777,168060320,-402426432,916460980,1963009029,87466499,740199257,-1991554304,1124287774,-1951281853,51297251,51125897,-386403352,-1070405942,-661981046,58465929,-1996206686,-1996233698,-1996206050,-1576830434,1364394809,54206091,-1009108029,-50623650,-1957255634,-1979025953,1916419079,485081857,-642586143,512481927,292814896,1390992007,1256739810,1524206556,199820146,512314339,-628685986,-16943677,1963584448,58039543,-1659559960,54730377,-1996288325,-1157428194,-1957036276,1392520734,583240348,1958805191,1411287308,1126075139,1444841731,-34215933,120765341,350815092,-633214502,-1336930384,-47585186,-398457768,-320209629,1444842493,-1160049917,57999377,-1948695063,-1996270570,-1023398378,-1564462408,-389872522,1397885128,-402362693,512439819,-2023881894,1827165918,937971948,-1377293057,-393586680,988569320,-385649467,-2023827192,-628664610,1511951187,1977236227,1583045139,1381424775,1530254056,-402362694,-1017432629,-1327405335,54108673,1963488232,966939635,-1963095549,1229539801,1236070795,-126304246,-637318839,512481927,-633666724,-1951599989,1117760249,-1639866466,-1958088587,1545505241,126507779,-1217057732,-337648920,-997828426,-1966908514,1916877831,-178569991,-34674237,742194036,-68679308,-1058518048,-387025697,1949105810,739675112,1949056000,4712451,-542513077,-397511598,1949105786,3663944,-543561653,904463220,-561553704,-289713322,1943681792,921197357,1395094016,56106635,50336953,1943682009,-1982167271,1526925854,2891401,-392762533,-770968848,-1729559691,803849184,739675133,169224960,-1950684413,-1950209085,-1295137840,-383874221,1541081860,1311769027,-47128272,1529868591,456142896,1444842288,4909056,-339541644,-352210940],249,[-1560301566,-1057095568,-1224645144,780289,199813237,6219807,-1597784014,-1019608996,125040756,-1070409590,-31525399,519104963,973101984,-1327270717,1958951425,-372506915,698359518,1959213568,-372769071,512433874,28770395,5774985,-1960917527,-402631138,-1233846263,-1979700832,-1329206280,1959213569,-372244823,1537220266,-1594324480,-662044580,-1770862806,-397360898,1486880921,985923072,1942748867,1925659149,-1342016247,-1563886079,-27787176,-385649208,-555220989,1537262366,-1596421632,-125173668,-244137174,-397360898,1486880895,1925396992,2026322448,649475,-5242251,1487061246,-922855424,-1142304908,1528728350,6135808,-980752246,41141050,-952444790,-125173133,12044170,-1057045718,1342206650,-637281657,-2008873080,-922860793,-628622987,-1564462504,1503789144,5939712,1358900201,-1258276888,-1966568959,-1426420795,-1393390774,-930420342,1976106584,-347028735,28659946,-1979705368,-1949988152,-1958565126,-376787726,-27735926,1357018312,-1168905237,11993204,-637285378,-628684918,-1010818469,7649875,-872546121,126409219,-1017390457,1105766093,1444842241,1478396160,2727936,518766846,216547248,-400510726,-1070401017,-855627870,18802855,5643915,5774985,1520617354,81913856,91540478,-1343749712,588048639,-400342552,149429156,590932003,41229116,-1073080912,1911030645,512446492,-628686760,5643915,-1036336246,-947251595,74696250,5774985,973101728,-1979354169,5939911,2746456,-1250686350,-402522648,-1377044077,1962476348,-155454207,993837825,-118883467,-29144100,787642569,-160102598,848608195,-320336207,-385648129,844103687,7512768,849525592,-655881039,-385648129,-1974468576,-792720703,852003520,-1142388032,-654101842,1125616174,1480034862,1444842322,540852992,-1071512718,1946631363,1946762489,1946893557,1946959089,1914453229,1914715140,-1010814235,84279821,470551299,236920349,168367487,100798984,235733765,889132415,885666902,867119929,891630855,872494413,854799479,233321409,1489532157,-138674507,-113121279,222037896,171708788,-980810123,-311099844,1976434243,852360936,-1157134144,-1597832714,-1073086350,1642609268,-628666114,-2030041146,-389808422,698352425,1959209472,1354825227,1476457960,-143275778,5643915,1493056488,-1070413686,1118501515,-91504246,-1010814294,-1073083728,39512259,-1258162246,5808382,28820282,1962944928,1478396691,166220288,698374910,-1610255360,-922877862,-402629982,-980811204,276086818,-34674606,-1224116902,-1597768191,-454361047,-21964153,-259340758,1007127115,168326176,-33065536,1258517710,-968626197,-628686841,-1219490384,461170689,-51901008,32947191,851704152,33006272,1979557864,-339476988,-352079625,-20477219,83371208,-1967063544,2728168,41141562,-980752246,167801504,1975880384,1959213580,-386364923,-1070458058,1959209667,1352683771,1370112,1492626152,-243939074,7512259,1923272950,-1010814464,1444842323,1923108864,1958742528,256003,-1597809832,-1019609000,-1152184203,134086746,973089184,-2013105401,1352686343,-389510656,275906959,844160116,-47650624,-420953090,-872523775,28820478,-1605114901,-952500183,11996021,973102496,-33524285,-389546301,1398472713,840609256,-1329374272,1959213569,-338690556,-872525036,698355316,-386364928,74841296,1457424222,445179995,973101216,-1609927229,-922877862,1520567156,21161984,-55646125,-1006759563,99090871,-561553918,33286230,1541860187,840586728,-1847016512,-1609861636,-1019608997,-1006762892,698413291,-1594324480,-930480048,438495313,1959788121,1958742538,1958820595,-20447505,438626503,-389824462,28770452,1394219496,-402632544,-27590227,2728135,-952450818,1105784181,-1213893124,-339476991,-1564462366,149618800,-400955928,259129674,1946173672,-386798651,1005066710,-402164991,-1233911759,-1070403093,-1564462397,149618800,-400966168,259195170,1946167016,-386798613,333978030,-402165247,-596377577,48820715,-1949046016,-402631138,-864683324,-1763114569,1444842490,-85989376,698400373,-369587712,-872482150,-1041758860,-17337093,-1605254205,-952500134,1743264370,1501209,1118501515,1457424222,-2023829506,74733278,-538195970,-1073036455,548405877,4581571,-74782640,576198004,1022457024,-1595050976,-1053163440,-1047861644,1489223714,698401785,1959213568,-389546471,-28114748,12314831,-1597505957,-1057095639,-344602822,1352716286,11003904,-397323325,1348010148,-1696022134,-930457600,-33543776,986185408,-1964542521,1405311937,704666784,1949266627,1528728354,-561553920,-1014344874,-1610589278,1554120797,-94705664,-561553829,1528727894,-1219273984,419031041,-385765285,512490246,-872546218,-1410858124,-100734952,-1010041253,-76402628,309475900,-210616004,175266620,-344825540,41057084,-1071463431,28791747,-1979700832,1709724136,-12822248,-939653004,-243937794,1398522715,-1528299081,-373073128,1240012867,2662936,54992523,-1021130998,-628637442,334227572,1946285755,1134361057,-388860439,57989500,1540977385,55121545,1926461672,-633542397,1128520075,1128470411,-388331693,-1973735858,1946762247,-400510971,-1125583721,33012712,-387405336,512488791,-872546218,-872543884,904398196,-17337094,401664195,1020371177,-385649654,-1957432213,-1979389666,1539508935,141888176,-401756080,-1017580457,-1326165272,-196220915,1271073456,1977073384,-1880571135,1538862326,-927968969,-1070464277,-1979516254,-390869745,57931721,852508649,-1561818432,-1975320434,1915632647,1007514690,1006924602,-402296016,863172523,-1252923254,9353983,-973176820,1118501515,1007127107,1006924602,-387091664,-395053173,-462148036,658294154,-169278606,-1901962801,1007127040,-1172409562,-1236125693,1948597250,1019674244,-1023314652,557631230,146209140,-210492612,616663640,-1227847041,532370176,-1965423869,-1974772937,50045638,-1596517656,-922877127,2062091125,-385648639,126484496,58009644,738250217,-385649357,-1070464826,1392720290,168054176,72000192,512433780,2126119804,-1982201085,-2029761762,771221978,168053408,841249984,72000192,56237707,72031881,56106635,-399647511,851705604,-1963947328,-2023859760,1539528414,1457424222,946518610,-411772357,991550138,1232362202,1457424222,-73379501,-1595373054,-989724530,-930430722,1090565457,512442689,55771996,-397190695,-1990513639,-1962714082,1511950809,130435843,1977236224,931683064,394877507,31320131,1531107975,-1564462397,-125172570,512350346,1088947363,-1157138974,512294918,-1017445213,-98661549,-561553918,1391495766,9353809,179106443,-2026015552,-805174054,-389510440,-1047858237,-1975316598,-28228817,1408595400,1342213792,686348935,512317655,73072821,1507381250,1261406283,-922873976,512488821,149618869,852953832,9347776,168058016,185103552,-385649198,1498021983,-1631287720,-2023826809,-2024581410,-1967063334,1007127280,1015575596,1007121449,-385649571,-1662464448,1377733077,512318211,11666170,1393027922,1355056799,512476294,-1343683750,49979436,57982986,1489903849,-1952529274,-385649205,120204117,-1729559691,637440,-1597105687,126354171,-1227847101,-997828608,-385649250,260571338,-399538109,-1975320365,-218765112,512312131,260571953,49979459,-1047867184,1352601458,872701088,-1245148661,1939757056,1100962052,-1626371938,797459280,712697923,-922837416,1352653429,-896864630,-637281657,-806812813,-220403470,56368777,509515,-126494149,-1975402446,824085488,-2028500477,64685018,1272612825,1125615947,1922979907,-1964471738,1124567752,395008950,-2023865533,995120862,-385649958,501808975,1490682666,-880031490,-73342091,63671042,1912876251,182125320,51082432,2059406043,190723,56219907,-1948612647,-1023192546,1539316473,1124567747,-1979665071,1507394504,-1621995069,9353808,-1968377205,-1949958424,1128443122,-838989944,-1638337163,-389850790,1793645658,-215947223,-1948612805,-352017634,54173706,292864010,1406830426,983744562,-1665073661,170887762,-385649211,-1958488737,-1977292001,45175765,1011025802,-385649316,540803485,-1040316811,-327823874,-1326806437,30861404,854622952,-1966044480,30075120,126546058,1965112387,24111363,1383342908,58009148,-33464087,-385649203,725352750,-646707024,1124567627,1433677372,58023740,1006712809,983331932,1018590471,1008235556,-1968278230,37503941,126485618,548414524,-838989195,851362558,1125123264,-972897538,-1023479670,-838991695,126509428,1949187139,1948466206,1965833453,214338083,-336557504,1007127265,1949216803,-10098429,-29163087,1959657153,1124567606,-210492612,1005894226,-1963488686,1952333011,121291521,977533813,1140225287,-243988678,751143491,1525314052,-18314662,65749958,-1973757305,-1023521850,477431844,-980759810,343195658,757860234,-29620620,145754741,-972946428,-838930294,1702141275,48779857,1364810459,-1964340653,1019282117,-385650151,-963980253,1558741004,-361240517,-655864997,292878802,1006844578,1007121467,-385649620,-991376536,-628663854,1385976667,-987101302,-1979664829,52399056,180718298,-385649472,116129453,-402621464,-1654919385,1491665780,-402426882,-2023821337,484988638,65625068,1575535576,-1966211584,82330375,-1312101393,-1325012224,1476520705,1172884990,1956469504,1860719056,662694106,-1957473959,-1979407586,-1979665943,-980791099,57982986,-387145240,512485860,173540515,-385649216,120258398,548464778,-838941186,1340670837,-290330369,-1974405909,-1329591610,-402426837,-1017581917,53812873,-387453720,-628633073,-1627363608,1151311428,50886046,-1981576231,-1962719970,1392520734,53812875,686510675,-1981217932,-388331574,1735721023,512353163,378209093,378077230,1128465498,1128470411,512302987,-628686802,1406782696,1529316584,-1313273484,1374259712,-1949205015,-1996203490,1526738462,1877563737,310225,-1975264253,-2101787897,1975597568,1095943,-286533373,973124025,-1023314751,112793401,66614272,-1159992359,803799070,121301194,-781326261,1927828852,1827165145,-398625571,-1947716854,-1558279192,394937092,-1959294397,540847346,-2008938123,394808119,-401605045,1264314588,1959869160,1950039074,-267851771,753421100,-399724335,-1158943313,-1461181776,-390403859,-1595399504,-388502547,-1947603353,1403571670,-2014776694,1007252481,-401640390,-143064706,844879498,-839077696,-963984469,-922828246,91423292,1642704077,1912945865,-916788989,-1974381991,-1159165240,-2023866724,-1974249762,1918974983,1937456134,1361062914,-225711990,1111731246,1968817466,1976172053,787647458,2025851564,452867,173693787,-1073036352,-225711240,-1073042386,2040414879,1540197109,787647315,1975519916,-922818122,1145198923,1380144127,1347223118,1140666708,-63876287,-1856472320,-1118263464,1403637080,-997810350,-1161525680,-637337554,120258480,-796213246,11971277,54440379,394931930,931802691,-1631287720,12048522,-1976641021,-1976679657,1524270903,1457424222,4547,0,0,0,0,0,-402653184,-397158383,126544268,1333051402,1125616195,-628473974,-1070411638,-402194526,-2036334885,-997830460,-1241190215,-20775413,-1974635318,1914715143,1949187110,-1426486488,-822197439,-2040993419,-2036359484,-997830460,-257888118,1958804996,-997828602,-373072994,-347879384,-1576947510,-964032769,-277607620,-344849604,548465780,1101724043,-353644802,-108322640,-822197846,-1158941067,-29161590,2062074826,-1596421409,-1019607841,-370605197,50378695,-1948612645,50651166,-1608545318,-1057094346,126540660,-713768950,3062355,126540291,91425084,-1058415411,126507975,-1007042550,-818550709,58008380,-389075224,-2023825622,-397191458,58064811,-1983407127],250,[-1023088354,1360304313,-1965613848,1965833223,-1847045287,168266472,-385649216,-1958492292,604473887,1006744287,-1307216823,1951349762,1006940687,-1308003246,1950432264,-950736637,-1343729061,591146221,-790101131,-556996402,753770984,-1073036662,1038680949,-1293397817,-1973856002,-371339823,-1444413309,1007127294,1963242114,-827987879,28476732,1329352052,1228677236,1810380660,1743274477,1676169453,1609060589,1541948909,1474842349,145900781,2028481771,-313726770,-313989035,-314251180,-314513328,-314775467,-352144812,-832706543,1122841064,1307389416,-397729614,602459727,535314925,-1974316051,1965243399,-834803709,182335976,-385649216,-556939600,-1974775116,-836114224,-974584972,-561553722,-1614640554,-2041527162,-1662495804,-385649410,-1973762411,-855032634,-385649697,-1185692029,-654114770,11548552,-40769189,1975519827,87465994,57934116,-402438423,359988843,82386569,1929556051,-42866429,1357504717,52750534,834294619,-1998978304,-1963423225,-383874600,117594884,1526728646,65796547,-1614794227,-39851952,-1638340147,343167135,741083018,209043466,-389179672,1481829482,1352661406,-1070444385,1424490930,-383874049,3258628,-1638344445,-2145075174,916586764,-1617012731,-1564468656,126485743,58310666,1476450537,-402426722,-1070404777,-369218328,1122551557,1273679357,-1295169816,58063232,1946515944,-334436328,-1303364564,-402229870,-335950545,-335484920,-1296037311,-1974427902,-1576000318,-1638398878,-1057075041,838885282,-19011392,-1957454248,-1979389666,-2145101049,350815093,1676170205,73572577,57982986,-1962640920,-1996269538,-1962474466,1392521246,82386571,167823080,-385648192,1307115542,73572549,57982986,1527030504,1654833202,-20387580,190555,-1595349013,1979464704,437119235,535423949,807308229,-390067712,1189675011,-397369600,-63176573,921240437,-845260774,-989795860,616799832,73638432,58039896,-389746199,1671490167,73703940,838904808,-51255104,-1988098106,-402331362,-1073086389,-305286280,-1597713431,-1073085340,686293876,-953686012,512312131,1525154648,-1564462358,1139279158,82813182,57982986,-372508183,-628636220,53419659,-633611641,485005426,-1564462358,-337050314,-1957538839,-1174083298,-637337554,1532626826,1394505155,649744465,173101635,1498989504,-260454146,1532609371,742131594,-454494347,126505419,58008380,-389293336,-2023826474,-1168943394,-112049362,683271167,81764417,916504555,2025851397,1093188044,-543113166,850324228,-1964471616,-63838011,-1610610746,-973208353,-277625558,916635698,-376051707,3153547,509515,1539562473,-1631287720,-1622060461,-2041527162,-383874108,-402214908,-473104379,-1614550039,-2041527162,-628665660,50343611,-2029548838,154950362,-890698893,-997828608,-561553762,-454468778,1381192186,82386571,-823654224,-370881025,1532674996,820560729,-368777013,-369039324,512447272,-1152187159,512294912,1583023337,-396960121,-1974281454,1965833223,-888543221,1543228904,126533682,-739749729,-1638389271,1457424222,-1014345569,58048522,1405888233,-2015229976,-1638376998,678711455,1021843176,-2011991037,-906083577,-1638339467,512318297,-380566295,-1638342093,3022475,54992521,-1022957221,1946118888,-1020204797,-439495189,1392513768,48759221,851663616,1124567232,-109720066,-383874109,3389956,1489230339,-1013005178,1979385832,-1023743741,57871024,-839249175,-1024529946,1979380712,-1025054461,57871536,-839254295,-1025840665,1979375592,-1026365181,57872048,-839259415,-1027151384,1978335208,-903878397,1206435890,-381504772,591184626,753446261,-385554214,1405258284,1543176424,-1178400886,844180972,-64689728,-1177149720,549066395,-1977912020,-1189614634,-397339496,1374224332,521922802,294304082,-259342286,1364250762,-22681517,1810432883,1965046978,-20513274,1022260686,-1978436318,1019382504,1975880236,-1963619831,-25040683,-138718350,-1962953471,1019644616,1958840866,1393376302,1012619636,-1977322230,1019382472,1958840876,9037827,-27924397,1009152603,-1978895091,1948269762,-1339278315,168784909,973829312,974025926,-401967934,-397213597,1935408687,574378930,540804212,552084853,1008759550,1022850080,1008235564,-855345907,-1961855775,-1979389666,-401428280,-489816611,1539425257,-1157625914,-1031142922,125050924,1726480565,-389850144,1352652087,1489578728,1934663582,600107011,57843288,1529070824,1958742723,1124567291,-193606146,-389682343,1621229638,1958804992,-1046550269,45240659,1543161576,855391208,6333120,-386131223,-1073086426,-1057093772,2112422773,-1563885887,1364394080,28491826,1543151336,855387880,6333120,-87234213,1392030952,-927340469,-1341950630,-397229311,-399710330,1263665195,1976084200,844781829,1944634304,417869031,-628664064,512350467,-628685052,-930486197,636027764,-5219647,-796399421,-602806189,-1009088678,-1962079303,-2030030818,1478396890,1977236227,398181121,46369378,-1965520191,-1979706169,-1393390600,841925930,1991987207,46369377,-1965520187,-1979706169,841898232,-1950285305,-29185286,-1325238839,1976434187,-351423044,218872248,3153547,512481927,-633666728,1992011636,46369377,-1965520187,-1979706169,-1393390600,841924906,398151687,46369378,-1965520191,-1979706169,841898232,-1950023161,-29185286,-1325238839,1976434187,-351423043,512447417,-947257298,-27540702,-1023314752,1688227999,1958742532,-923408125,-1966891432,1967143943,-944904189,-1979711303,1020365557,-1977649942,-1664140281,-1729625227,-429070137,-679548888,-429594542,-680073172,702963176,-1957454503,1946500382,47875,-774306913,-690905378,87891593,87498377,512478091,57935163,50331835,991857114,958302469,1541048069,-339725629,1342418946,1493148904,1392520936,1929586920,41936902,1526879720,-953030461,1409256680,-1157425944,175374335,-402495256,-662044133,132645047,-1329374435,-1974316797,216550352,-401902393,1009575390,-402426836,-1031088386,46262355,820577139,1499093960,-1949896727,-1979369698,-1967052093,449284824,1945668293,717238981,450398915,-1966921017,-1950090760,-1979369186,-1966986557,449284824,-336033082,512447454,-628685511,87629449,-253181093,-1957604353,1577400094,-1990795641,1493514014,-488062117,-397258242,-387259030,1994981101,1952013055,-446896045,-447158228,-385649342,1340604512,-397195547,-1041759651,39315711,1946131688,-5642237,1927828291,-402426881,1396965295,1510055144,-397323687,1397752027,1776867975,-396862718,-119013161,1230657792,-1056258678,-1017388171,-397192623,512426053,512296253,512427319,512296251,1515914553,-1957444775,1392851230,-388331694,-1990459430,-2029700834,-3086118,958302555,924748549,-880062203,1543487976,87498377,-1209480309,-842834945,30402744,-385928216,250085833,-402426881,1397948200,-2013338392,1240579034,96142195,-561553846,1943681878,-48330476,512318214,-709163273,-115439287,-338000122,-561553898,-115439274,1238743814,116858505,512350855,1515915005,-81884845,13887494,99111514,-381593344,-964034016,-657407990,-1031081846,-796206896,-216101949,116760582,-216102461,116761094,-216101949,16482566,-2130087392,-1994391317,-1022954722,542163841,116596361,-216101949,16482566,-2130087392,-1994411797,-1022954722,536920961,116596361,-1967027517,-771730162,-1979255538,-1023315256,116590335,-1967027517,-771730162,-1979255546,-1023315256,116592383,-1077506877,-946948096,116596363,-1979217370,570881302,1427016386,1927991808,-337063420,-1010397448,12568204,-1949856072,-1962478818,116760809,572969206,-166819321,-183623162,650185222,-846526584,-1950103922,-1612000791,45210251,-754720045,-489487183,-2130414690,-1994391358,-1962478826,-154498347,16798982,128980084,-2135898078,-173872942,-754732794,-216661526,61915910,-922564574,-388841296,-1324943966,32166658,-1022954730,-956282720,1678064390,1946565632,1008497426,-971476476,33576198,87885511,-960298848,16798982,87885511,-960298688,21766,1929657539,1426519567,208929024,-654966492,-133761374,-983701053,1437664036,-157097482,-1597769722,-1073086379,-318051468,-2135218312,17204226,-1157401600,-885325504,1258517151,-167064693,-92205960,74580168,-1023359046,-768359522,-1614203965,-963843861,-1900543809,198413255,-1955826478,637989662,-174051446,-153056762,1427016400,-165770752,-1964498426,184230652,1081363183,-858601262,512487283,-2010773773,-217645265,-182024186,-775255290,-152448535,16798982,-494860683,116064259,516737,-1411126831,116826364,116604555,1049209587,-1679096077,116596363,-2010150874,-1912146650,2145960902,-48888834,-82429178,722039302,1040644886,116987647,-149487810,-1008475642,-811341741,-397163685,-1017439961,48,0,0,0,0,0,263454720,1218580685,1009300480,-1274187262,1963408464,185383175,6819465,2696840,-1982100230,503533598,-1912602438,270436826,1295301381,7085705,-1990769477,-1946128354,-1946128882,520122894,-1157614872,12124696,-1178497536,-1943666566,637534863,1284769735,-536558717,-1898214159,-515315517,-855526149,108521495,-397632581,1676226271,1290649138,-1190767685,-61669366,126397486,1975519811,-1014801418,-1007689712,788479695,1422591744,1226859880,1344294210,1869836901,543973742,1886220099,1919251573,1935753760,234840937,1936876886,544108393,808333635,1866670128,1769109872,544499815,541934153,1886547779,943272224,917297,1093481778,942502512,1397312561,1375739988,872021,1145130828,1095958562,2245974,1414418243,573308941,827609164,860730,1313821268,1381236749,222709327,1497713408,1129512992,1313162578,808202272,864300,1377718428,-1912602438,270438106,171632645,6952584,378063614,525992030,1456446808,167796384,-1609468480,-1073086358,28576373,11540173,-922877324,1587594078,1958742528,-1564462584,61866078,-1604888893,-1073086358,11826293,-1073080627,1583285108,-58698813,-2147126725,1014121980,3022475,1977289539,1312078611,976100017,1124889639,-906051330,-1070402443,852749147,-1948200732,-1618268456,512295171,251527275,-389021590,244072708,-521469843,751076944,-166677701,106150883,133617667,-864790273,7020169,7151244,6950654,-28111637,-1576569400,548405354,-987843861,-1979684066,117382919,-1073086357,-1602682252,-880016972,7216778,41148218,646499582,2133065834,1599834741,-12916386,539897886,589439250,639968279,421015858,337580816,756100886,1364405269,1315749462,788270769,1960852140,-906082807,-1070402443,-1406270741,-1017423522,508037959,474815819,169615184,41092724,307364214,240090963,209126773,471670303,168496141,1381061532,1946631248,1963801677,1862727178,57999104,-402617368,74711596,963968828,578030652,-1186035781,-29163512,773617865,-160102598,-645144112,1364126137,-508035282,1444842287,250135296,-401675516,250085438,-519182336,619185131,1499093001,1354997083,4800138,5119626,-1275067975,1477496073,1911051203,-1579008,-397163685,146014312,-1017442099,-1962937368,-1010005272,5643915,5643913,1307071388,-1013097728,-33532000,-1974418488,704653582,-33532146,-1979664959,-1979692738,-1342157026,-855002080,1444317968,-17660416,-1261764914,1477496066,367547331,1228835328,1327401472,688818688,-1342130944,-855002080,1380997904,-226045045,-889270530,4800138,281871028,1405311066,-1979666094,-386692369,112459803,267063501,11620947,-141890678,-1275065624,-401552121,1532624924,1173699,2692746,-822162690,28364286,5193354,4825283,1252000747,17229824,646586485,-58720184,1377268743,-2146959174,41026300,-466426160,-1910578441,72262618,-1664919009,-1169141165,11796480,-990505011],251,[-166824672,225772740,1946273014,-350703091,-350506490,-384191998,1347991486,91557180,-823653712,1532647679,-1824734307,-1791205260,-583252364,-471316876,1958742734,1019805240,-1171098870,-487194608,-1031679862,-397277613,-399712862,-397162799,260757580,1913649536,1125101826,1599813515,-67062445,763929843,1526756840,-1075713597,49020848,104464560,1906442353,-402426880,-1863843746,-1101806658,179897939,1455816192,149440176,-578137637,-1410858825,-400510956,1582947067,-1392750250,91537418,-352316440,-401755915,1582947047,-32455037,1540257225,1012318443,-1342016243,-623777765,-1605319842,121372744,71042164,-1070464397,-1017593846,-1230123693,-1979665896,-1275049666,-1609511678,-1073086351,512365429,243925071,11862057,281872820,1543376360,-402148413,158728128,167791776,-1291684416,106151536,698353077,-1339540480,-1258130383,-1974251510,-402633186,1448804407,-61798735,-1665135956,839021910,2484416,24485214,-906077874,384362613,-964469248,-1057073136,41040444,-838979408,-1343699083,851663869,-1073065024,548406901,5185162,41225532,-1185866832,162791425,-1023536947,281871028,-1966908583,-1258272498,1210485248,29685248,-847248524,83656832,-973207182,1913060480,1371930114,208940092,1506632168,-397285238,1081392476,752627176,359935036,181226984,-1342016320,-444573312,1374161411,1958559720,-602871773,1949056044,-852432884,1372097113,1958554600,-604182513,-853481428,-346427254,-1101666042,-1963881895,-1979700954,176104645,839546048,181799634,-337218095,687636507,-25162636,-2133167356,208798969,-25111573,-2133953784,-915207943,-1073032822,1048584308,1946615880,1007071580,1951446018,-30886870,1976106697,-2134509908,-906093195,45160939,1948843136,-2134510071,-1040315020,-906098197,1971373558,-2000028158,-1593824986,243793992,378077256,-1053163447,129505908,4956928,1302578310,1327925248,-29693952,1336017780,7268352,-1275049312,-1022309115,2688570,646591604,1346109512,675022708,-1729559692,133988541,1353712757,-192930581,133988354,-855768459,2728528,4728456,4785863,770179072,1405310976,-1292051736,691961895,41166848,414601138,5193354,-1979711303,-855198527,47632,4800138,281871028,-1185738773,243859456,1218445385,-855591936,-574756848,-386022936,-1645676662,-389850116,1534393764,1371406513,1212055552,58000896,-1967319319,-397322708,1081392084,125054012,1506527720,1498540170,-108375215,-8331894,-2146929408,57805051,-1273967744,1527827723,1958456296,-1146755069,747134553,-28964748,83460289,113687922,-1023410097,-3973543,-16757450,1006652214,-401574868,540855166,-1973872525,1978159560,-399739717,1009572422,-401378260,272419686,-1662450830,-393586244,-1151670191,736629108,1340615898,1930443979,-1973790231,1498501840,-2131654054,243863526,-980811701,270852304,-444546550,-790245369,-790245147,281147109,-847248524,1408109184,12048522,1302466340,1311672320,1328449536,-854871040,-3974384,1006655030,-400526292,-1073034502,440163188,646600563,-469106575,423363700,-1973793933,-504868144,-394562374,1009572274,-401050580,-1073034542,646591348,-533069783,-1973802126,-1041739024,-10783558,-402626506,1009572238,-400985044,-1073034578,41222320,173613232,-1578610200,-349342534,-1143609085,752446952,1019908584,1509061408,169928064,1372097256,1958380520,-648746993,-898045908,-646766532,1372097113,-444575399,1745783055,28596480,-1990586163,-2046798314,-19988750,1049252810,45350985,-1017442099,-352276400,548425731,1347637660,1492794856,1745783643,1913058816,41221888,-401996619,281870772,-1017602727,0,-1,-1,-1,-907502512,1397454075,-963882415,-1912602433,922691271,-14286724,637566518,8128199,-1943644936,-1912570354,42053830,-1291816442,1228835459,112896,281872820,12568204,650612224,8259215,2080804646,1522961920,1486707545,-1178736445,-385853792,-1259800974,6678713,1450569226,-385160694,646598772,-499515351,-109033358,-1606192358,-1073086351,-109050508,1396142873,-822152822,1049283326,45350985,146018509,1348145357,1018787816,-1341885396,-402134272,-399714238,-397358746,1479137338,1951973386,-372995582,-1863715310,387258,702031336,-668931901,-919410648,-669456302,-919934932,954778457,1955937465,-670504952,-339725603,-1188435963,883097520,882950912,1958742528,-920917968,695405116,448419411,-466464170,-259268399,498401070,1532937046,1062614211,1280722518,1918266198,-2141816746,-1873377194,-1171920554,-1979697733,509447,-1946837015,-385861858,966790854,-175314688,281871540,1961101904,975079692,1009682432,1058441472,-997566464,-789133058,-1946848279,-385861090,1017122458,-178198272,-33538400,-178722368,-33538656,-179246656,-33537888,-179770944,-33538144,-180295232,180913384,1007842496,-1269533948,1102795520,-1965554944,669604615,28988405,16890114,-100659269,254078190,-102644934,-1020130333,-28253814,-338152761,1962871532,-1143502310,79233089,-722053120,-388963838,663224947,-17309117,-68651574,4300891,-369827351,552122719,1955937464,-688855032,-339725603,-1206786043,1168310192,1168163584,1958742528,-939267874,-680328132,242483624,-922873676,1085538932,-385822488,-1152125780,-1073086394,-1975320204,509447,-191174309,1448431772,12197463,-1898279424,-1593503714,-1005977498,251595124,57999462,-1610602520,-1073086412,921174900,4562944,57982986,520120808,1482514015,113692573,-1593835419,-1073020826,-95283084,6620918,-1173916161,619446369,113766140,102,1405311739,78926417,173019341,-1995672348,-2013251042,-1996473298,1476411158,838874784,169440452,908495076,-1995344896,-2013251810,-1996474066,-1342161642,3515135,-1017423526,4635475,1962950528,-401558521,126353425,4161603,1085540213,-2013264664,1388534535,-335412806,-922827742,1522829976,649411,-1174023240,-346947580,1712753464,1962019328,1694942727,-236192000,-958469949,1915091587,-1075293678,1911041237,189946314,1510438354,-369148951,-790054893,1227519,-147530568,1694955249,141950720,4438608,1492039344,-301972806,1978582154,6404615,-301789972,1712752986,1694942720,180551680,1497451866,420501776,1494243674,1494243600,1499082000,1297757200,1158699329,1494243674,1494243600,1494243600,1666866448,1497451866,1499102224,1494243600,1494243600,-1441769200,1851437402,-1424991909,1499197531,1813010704,1980782940,571496796,-1675463230,512316240,394790121,-970079357,1128464391,-968675448,-2008875001,130433807,-1655153920,-1365710397,-2134680744,41255162,1489175218,1503577222,1522752346,-2084349605,126496451,-1950101258,-2096830178,-1950143549,-2096830178,-1950141757,-1979389666,-1023398009,-967747754,-1526382842,-1090195266,146343232,-492504064,1583307261,-1152298045,145818944,1965047680,-906083571,1556018805,88653573,1421742315,88129285,-1493432143,-906090635,92993909,158598202,427147274,1963001078,-1962636780,-2012944098,-1157615225,250108404,-339725824,1509866247,-117439256,1405311833,3022475,1960512323,-1144825086,1129514323,126486705,1140119016,-160052738,-873976144,-1014801420,-163270647,393535751,133583024,-1341098720,-2146961854,1102055797,1967130614,1531817986,787785192,172165002,-1007323712,1970226720,-13736850,1394606093,1886415211,-13736859,12124173,1376684032,-387272699,-471204163,89308158,130418570,1975519744,-213456891,-487997430,1376684286,-341579515,-1963013912,-1325389522,-387076096,-1209401711,-2041554690,-196810556,5705354,512477694,-1886911255,-1427570638,-997828354,-1963439639,-1325374930,-23861248,1659399600,-22025986,-2013240416,-25106169,-997830568,-385874968,1793654401,6536181,259263804,-397211650,945553045,-1341689337,-957879539,126484487,-1996587800,-2041003257,6464196,6398147,57982986,-2136151831,41286626,1369571762,-1564410363,-896924336,-2139037312,452264425,-2132705079,1947255542,550076419,167796896,-1325239104,1976109569,1594291721,41221888,243810481,-4913848,-756520784,-400061699,-990446034,-166955775,58032577,-1342165016,-400561153,820510771,-1946651906,-167450338,-2130693753,300419701,-972721407,348166,1638007216,-35133440,-385808442,1069284794,1161477,365757364,89373635,1392513465,365757108,48825203,1587567361,1975519744,-1522565114,-373037451,1637919785,1958804992,-1564462581,1621229665,-439490304,82386571,3246070,-387287679,535298107,1407380225,939549115,-1962052313,-167450338,-2130693753,-1023314597,-1263801879,-1840897,-997830568,-385874968,652803405,-33060864,-401902399,260635997,-44570429,1404768138,-33508091,260587977,365757364,-956480280,-389873401,260767037,1404764341,-1009188091,-1628962380,256255,-1594026775,19662160,-1144848013,126485841,167774150,-1023314752,1929382632,1342621191,-1073086459,-3938109,-1040316534,-1996686104,-51386353,57937722,-2134654966,-579534785,190544,1404814168,16824581,365757108,1403000178,-53745659,-823654520,17286908,1962526974,-2134640639,91555068,1877547186,-1423578709,738545824,-373286399,243796115,1525220689,1594279657,-1991049216,-1962586850,-1996271594,-1962587370,721880078,1225689547,-397258491,1499135652,6332507,1946599434,-1262318078,118869251,-1174369816,12124165,-42645248,-386239158,-1094516618,-1937046189,1621098506,-1665136128,1343059281,55988563,-434706215,1482381662,74776892,957579,1958742534,211061518,1959329280,1343654660,-1262318077,118869250,-1655106958,512428917,-654114768,1478396227,-444536573,-804919216,83656792,414319989,-374688279,-397694357,91599347,-352295776,-1041700861,74825738,48955824,1688338608,-840922624,-607272171,-134091783,-1952648309,-1979407090,-1564396861,-947256153,-578100174,1939734322,767755015,48955649,-469056725,-2143482504,-1961528832,46433246,85417449,192479360,-997990773,501213442,-1577025531,-1514470234,-2146467836,-13443445,-1014969472,54068934,-641275776,-388330669,82314986,1579059653,-400510716,-396636389,393523552,684732904,1389996008,742131594,1290274165,-386798671,-1993748450,235092766,1348331960,55588607,73283327,991857611,-397163773,1815872782,1279003252,1899759220,1362887284,640074587,640034342,640034342,640034342,640034342,640034342,623257126,606348581,589505316,572662306,539042081,522133536,505290527,488447262,471604253,437984027,421075482,404232473,387389208,370546199,353703190,320082964,303239955,286331410,269488145,252645136,219024910,202181901,185273356,168430091,151587082,117966856,101058311,84215302,67372037,50529027,16908802,257,-65536,-16843009,-33686019,-67306244,-84214789,-101057798,-117901063,-134744073,-168364298,-185272843,-202115852,-218959117,-235802127,-269422352,-286330897,-303173906,-320017171,-336860181,-370480406,-387388951,-404232216,-421075225,-454695451,-471538460,-488447005,-505290270,-953949983,-941822637,1551237721,485102676,1939015176,606378345,-797439702,-1389510717,1649085524,-331573286,-86110204,659275216,966071078,-1323389627,1140659791,-827118517,352131585,1113585502,-1707336414,-755501771,13312074,-2018119037,-528538755,1959901073,1486759710,302392694,-289002938,-1769492781,1966878071,-1105932988,-1836371686,1838809237,-148032447,-922713926,-629393551,497045620,286997271,-452434798,-1788723652,508198326,492716396,-1829859694,-1531624173,2007642678,1306675256,-1785413948,-1330820250,494729018,1557745424,618411273,-1274064332,773014091,1351177569,-1127478929,615274764,-335606837,-304718801,-419508547,-1264165029,1885290806,1640981257,-864611964,2051237419,-1080764955],252,[1818913110,935134639,1199926534,-978565349,426143783,-1223206686,1340109649,309237645,-1546094845,-687194768,-858949085,-858993460,32076,0,33024,0,33824,0,34632,0,35450,1073741824,36380,1342177280,37187,603979776,38004,-1769996288,38936,-1138753536,39742,1797783552,40558,49872896,41493,1136082944,42298,-727379968,43112,-2065225216,44049,-434047872,44853,1604923808,45667,466206468,46606,-1564725563,1073789233,191576694,-402604962,-954006391,1644216330,2028717484,2055258925,-685328617,-1399798184,-2038943122,1471531527,1746288394,-308097751,-1038364980,344313939,1498505536,430363652,1873131920,537974565,-879810572,-1811228082,1060731128,-1190339071,-1895311562,1733288225,-221655804,-2128354231,1870413893,1891035004,-978474965,1290070813,924389942,-534974907,-2065738045,1813180790,319526458,118945050,-1748075575,1222441024,-1111352645,227146608,1989759157,65302,0,82935808,-1710981067,612571639,1971536739,-1450930739,75662207,-2130706432,-2092060446,-2096008694,2134181108,-2144243176,625304878,1682186531,-2147471316,-1921080122,2051014659,5960464,1316134912,2328,-388717296,-402653184,1525878,199491584,596,1000000000,0,390625,-1769996288,152,256000000,0,-1609612736,655360390,-400093184,167797763,256,-7307264,-1,-32769,-1,1006632959,125909162,1952024700,1999017952,2048794052,2086883422,2121661978,-2144243176,-2130706432,517470981,-1725536890,590633095,-1520574073,1225776006,-1277754749,33117,1644462464,1350468405,2038320164,8366761,193003520,-2089923004,-42065159,-1631386813,294,858927408,926299444,1111570744,1178944579,-1146471494,1927840056,78028810,175278140,77932160,-381193088,1748768973,-1516219790,2042628612,-1568726007,-340065115,922702690,922682531,1189610661,-2132637168,460620228,-387698096,1532498388,-1763159974,1645722372,1527938024,-628436429,-2096488215,-466484028,78063240,-1173229079,12255232,99281281,855942079,-945029952,-1014956027,-844358935,-1523154759,914391044,-377486159,-1160969334,1525275015,-2017735420,71821785,870890701,85715225,-1310074489,-1984049915,-385572066,-1093859221,-796157870,1510534888,-2017473085,163047897,-645414707,-2129793559,1971323131,-389952237,-768407341,-393183045,1273496581,138799386,55827447,1476686042,-855533079,146139330,-1556676774,-1523122428,145352708,-353805733,1388546819,1918561015,-371684603,-1009974922,143779923,-1556676774,-1523122428,142993412,1391024731,1977289481,-1489598452,-83442172,770245634,-1558279919,47108,-1845189213,58310667,201326522,-955876901,-16472826,-1556154369,-371684604,-645463766,-2028415000,-397163559,-2091181499,-1950153533,-1962630378,-1023105778,434656156,-1014801638,-389833468,512343723,1743324323,-1096685558,77799049,-854956567,-1961391164,-385875297,-10615987,-16473290,-16472778,-2017079834,413198553,-389817977,57939812,-1012689943,-840377721,-1245695488,-1144599144,-930478938,11874184,-802191293,1942474192,18933763,-645208694,-401591319,861142674,-1558279717,-1987987708,-972774114,67304198,1528038632,50005702,-1047805180,1939006199,-718935805,78363587,-379275334,-1413808122,1689893380,77838930,1914107880,77576707,852331203,-2029458451,50045146,-53965928,-74714485,-695491341,-389816437,-242497482,738065291,-1527561782,-812918133,-1664877503,-389833399,58005180,-844960791,-385648440,-1549724029,1958742788,2030153734,-1006653438,-619986893,1539568501,-661940029,50005702,-1558279934,113689348,-1023147269,-369113880,-909246489,-1242998181,103147523,199842395,309516,-1660974871,-1656547446,1127713436,-1656549493,-1013103716,120109907,1528170216,1361491641,855619048,-1563767360,-1262812367,537380356,-968685814,1793667079,-1597256437,166397093,-437728051,-167218153,450941136,-1019382592,914410957,864027815,-1948387621,-1950213181,449022672,-1010267455,2014708712,-389100038,58201551,-401025559,-806873086,402450712,-1037319285,124784244,-1070463112,2026094846,-1071973895,1977236419,-371510523,-1031077850,77799049,113761035,1189,113706617,-64347,12238859,-1174177536,1056440319,-628423517,77799049,-516248125,38146420,-1732182524,-180621309,-695472267,986855913,1963129606,1965832937,-796244251,-1912194388,33846272,182250434,-1743752000,9420689,1955702515,-1963982074,-1949766718,-1950131242,1261341683,-1091830780,780923787,-369360036,984416269,1175549153,-268199764,1005585325,-1947240978,-749475362,50005562,742058357,-1404639883,9307706,-1073029259,-1852305804,-218067009,74748326,-789843965,-1949267027,-754587170,-1021962008,168076705,-2131397404,-2147179210,11589581,-1576755550,-1298135894,1958742532,77963746,-663428086,78716555,77926016,-1324449664,-863338492,-1482502358,1931637764,-154958318,78095065,78003848,1877496144,-2141693675,1601386745,568916051,78094357,-1144835493,-1430387554,309508,511245560,1124536749,1945756227,78035730,880019454,79252299,1260376320,-369434037,430772713,-498908409,-166038535,-1191181929,1263206404,-85846025,-16776007,1124496647,1962467907,217377224,-1609724439,-2145123161,77932160,-1526331265,512344836,378078373,-1581054813,-469105499,914419828,176161957,-1578142465,-469105499,-919347084,77805195,-1979406430,1942956748,-2032536051,-1507948065,-1814067708,-527772025,-1264786638,180619904,-1964756260,1959332860,435782470,-1986194830,-1979407562,621061926,-1005944705,-1023105630,1913190784,-1964864996,854821590,149520603,1948239094,550273232,-863974421,-352067040,-607062002,-590292271,1964033270,-1644961043,-869653127,-233053814,-1021651317,796121226,78059254,-755510026,-989932554,1967268213,1975778846,50785050,1943540438,-1509491188,-804686844,-790965797,287631836,-385046039,635964520,-1314864365,78094852,-166942743,-16472570,116846708,1962869938,-1323398171,-185341948,78716553,-133913413,-1156341272,-386399056,922686362,1592263846,-1509519595,4241668,1359539025,78298104,-1961658392,149718012,-1107103869,79234224,-1510736640,-1190889282,-1430585340,-1375930364,1128466201,276036066,-1962933063,78299124,-1952058372,82573542,-116865917,-402350405,-497478856,-1526270282,158629892,77989631,132712821,77511436,-384622616,-1796730831,-2012777198,-385571042,-16118784,2062091125,-195565550,-768345461,-208929142,549052298,780883200,-1516239709,-337147388,-674105339,1465308881,-266601173,1583285363,-998046485,-772409340,-489434670,2044398564,-1509491190,1560835332,-787765783,-1965829678,-1965651230,1574931187,319819241,1364677625,-397397972,-1739058608,512433785,-75430749,426970317,-472790133,-654056495,-670833711,512297848,1223361699,-351767984,619204659,-954930430,293894,2114373412,-1147898876,-2081946498,-401180397,-10874308,-16473290,-402348746,1515913867,-335688472,31975443,-401464344,-396750098,-622329225,-51451903,-1017421991,-1070409267,-855635479,-972967718,134413062,78120646,632602113,-1946209450,-134771761,-2031595311,-1073063919,113640821,-1979579653,1965440007,-1341658877,1956392252,1948990469,-68662527,-402230280,-169214147,1638120959,-225717709,8796718,-2130021376,1952554237,-269923036,-1662156289,786813281,1781573375,1784638027,1785162335,1785948781,1782606400,-1662468046,4319232,1090530793,1374222197,1370454289,1223186259,1499160321,-385899543,-512429172,-385885207,199819485,12380160,838862313,11987136,-401771107,568857389,1392867857,1527967208,2046168003,735770370,1951101143,-2096596920,494020602,1376402921,1512489603,-1169026183,-1169003856,317415170,650281818,2027616899,244005,-1031675181,-628662222,282781778,-1142421390,25552913,91818731,13232211,285599835,-1964391589,1048616720,1963459323,149528068,1465097728,1593859304,-1946799269,-133895978,758911858,-688454539,725353963,-389873292,24311794,-855998013,-1174048244,-269778945,702544,-2141527305,-164482838,-538193917,1402732812,5171287,-164406433,1290327691,91594239,911443,-389856421,-109572008,1956409321,273606705,58021499,-845382679,-402294321,1223360575,-73268048,-1524725246,-1491171324,-1558803708,-1574532604,1087143940,-377435264,501747157,1965388560,-1672812285,58314957,-1342173464,50045448,-1616658381,77701892,-1957276989,-402349290,1516109955,267577539,512427385,-842857309,-385649199,-1499423720,1922055172,-385649615,-1516200954,2025851396,-1677924093,-1157627718,-1964474368,114026747,-1173238296,-2135228416,283961488,-538377356,-2147435621,-1516229141,-1665136124,2133067129,-1174100574,12255232,-77076352,1006937760,-1660521072,-1209410696,115861659,2040388235,-1982073086,-972774626,33749766,853226435,78102244,-31546,312976,91869707,80141047,-1965127040,-958952718,67304198,-855094295,78029014,175423498,168080032,-385583680,-1950150920,-402345698,922743002,512296102,1458046129,-1544516847,2025522342,78816004,-1962628163,1958742784,48940,9162635,-1957485577,-2116090914,50632643,1107391239,24363267,-1962440382,-8168502,1191474182,-1948521657,-1615113279,1526761732,1946615427,-347716092,77446846,506365,-507508052,-2147126021,537173518,168076704,-1509519424,-1156614140,79234206,1125634304,-369434045,117312537,-143326042,-402137623,74714739,58064650,-401710871,244052026,-315489115,-1979407455,1381061629,-487108527,-145175925,1942488035,-628407807,-487106470,24365059,1524237122,65205848,-787647528,-19279397,1963238918,126937347,158990090,77989630,-2081880203,-774778617,-1965716781,-1965061389,200075745,145773507,296747634,-930420598,1223203921,1958742530,-1660126974,192630873,2035814404,-1660294374,69659481,259610631,200730704,48269912,35028705,34401256,986054341,1912845800,-18314740,-352145211,-1245380092,-20382205,-1672455224,1307101490,805815808,-398261899,-2142568216,-93048769,1949187968,1486701313,1352412020,-1274167320,-1274905787,1126664260,130456920,-972719829,-654955257,-989974604,-93124052,-2042414588,1124567492,509507,-1262757497,-838941948,512300665,130417490,130433838,1975909936,-919387144,-838984981,130419829,1377732910,-919387389,-906097941,130418293,61948716,75566729,-1123699517,-639081995,-1769263361,1162149888,77805195,-1057083472,-93064661,126415363,-1556707005,1976368644,-4790051,-1023408186,-1107099207,116064262,-1107032903,-1279328252,1958476804,-1558803614,-964012540,-522984398,-684793722,-1964846166,-294302003,-1157626426,-27720525,809468105,-498924683,-370621448,1366784780,77577811,-1190876225,-201588732,58058917,78756691,1527643624,-1090212930,79234207,-1510736896,-823655564,-1508996596,-1192656892,-386344458,1499136858,-1335777602,-13703159,1345302608,1354825304,1929417960,10742007,1966750808,822593033,805815875,126354155,-922855357,-1101932683,-1547762529,178436,1504048124,1364404715,-401663768,1532625777,1947048424,-1524725493,-1558804220,208922628,-1293418064,-1524725501,-1558804220,-1336190716,1642904067,1358874600,1592283731,800087309,-1057073072,236447824,53409651,771752086,171538,-398113467,-2024272584,126376917,-922855357,1111674485,78965387,1375646697,506198,-133914689,413937404,-102611195,1371756894,-1090517063,-50854753,84978734,1509548615,860967875,45832191,78028894,-1073031378,-1738595468,-1957169109,-773598760,-2115776029,-396348733,91425724,-351537432,211347673,-335781144,1617345489,-401837592,108203286],253,[1594609640,-1712826545,-1156681205,2011717754,-62789620,-351720360,1532581889,-1144799222,797574324,646586545,-990509949,973960224,1965732329,80016903,-376831371,-1075310712,-1120766734,976118181,1946157190,-1661107959,1294365793,-310251285,-439262820,1638334254,1970304368,2037414256,2037414256,2037413232,1013988464,130435952,-2094626256,281343492,-968162188,-990501881,1258648836,-315478136,-339735869,805815814,1976106563,-1981234184,805816061,1976106563,-1262763019,537380356,180480083,175742043,1395460038,1527573736,-968687348,-1013108729,-571942707,1124627967,-1157625914,-389872460,309922504,856096953,75736000,75566729,-369271064,2028601137,176285948,1625883513,-1023314529,-805001568,113660136,-801110874,-1157323242,166200491,309517,221767761,78321291,78454411,1526184936,-162797477,77991678,-502631335,-1073456925,77989376,170912195,1462091455,-972773185,753402117,-385649398,125432118,175505162,168006633,-385649153,-620099059,-8379271,-385650023,1397923567,77805311,77936383,1526805736,190638170,1527463912,-385649574,-1516200237,2042628612,1908653833,-1568725929,1381172389,-1669346432,77936383,77805311,1510016232,187492443,1397890677,-1157627718,535334912,2035964683,1532665103,-1174389527,12255232,-149755519,1393457565,19916882,-974601590,-799319550,-1559851048,-1526296828,645963524,-1635842907,-1329658765,1381193597,1510020584,-83629989,1408271849,16771154,78780041,77792967,113704960,-2130705243,78786257,1532626803,-555199917,-1308166150,1962934020,-396666347,-1914172383,-87300086,384326490,176351244,1532679915,-1508996413,-1192656892,-638174861,77904796,100234,231304,211599370,25659520,42452480,-1667385344,585630585,-387108352,2040332306,2549763,77465286,57908480,-1023296023,-386378927,1499138426,1405351650,-2096848965,74645807,-135576765,-1152138405,134087839,-347929739,-1966908423,-2147178994,1098094825,-1952654858,-1962630378,168076574,512269531,113640615,-2137520986,-1667399477,-360511879,14385153,-922030798,-338688396,-85796143,91856797,-33393342,91463107,-1444289486,175742465,-738798857,-2147368317,-1312620333,-1509021032,-1427376124,2114479848,47697,-394198853,158665150,77797001,77928073,78028995,1352171564,77989574,186378368,-396265797,1532625432,-401927960,-2017785476,34269281,-1847043238,-18326795,-119937014,451435354,-2144224268,-378398534,-185992803,-1805850212,1356891807,48955824,1436729394,-997828604,47774,72556169,-370670732,991857091,-1817384957,-477374603,72562315,-847956167,44534354,-2091757568,-2013920061,2021720063,178497,-1074557956,-1510800221,-162310565,-16493306,1455296373,82805508,-218103111,1958752933,-263460861,77839967,-67108167,-1956731405,42765076,80118528,-263591850,-1014814741,1125092100,344677955,72681206,-1962510849,-352037354,1892745988,1377077557,1128470411,-1511500968,710499313,-249567035,378080116,-779419602,2095698823,-1981576294,-1962719970,-2147271906,158673983,-392501528,-1813381310,-1700206189,1465275217,-1153912238,-1514208098,78036484,-1185736213,-772276220,-498908393,133585914,-30837440,-30772212,-165251894,561577733,746643573,-2145749496,360057066,-1190878018,-201523193,-1641643868,-1091887100,-350220416,1583307474,58087771,-385583895,1049233088,62456998,2027620864,-2146274004,494012655,-225780086,-461319030,1961550368,-724502512,-741289263,1967178998,1976565255,110881240,-350172032,-1505851148,75032836,190547,770229083,67812096,-397210389,-1017446398,-1157619736,1048577123,2013332648,-971868921,33859590,-1330675224,-1349916659,-2065167696,184337327,1644412671,116787828,2038432935,1644936707,1913027560,77577992,-352320327,80118537,-1190878273,-1523711998,-389808926,-397211379,-1226307711,99113975,-379889152,-1976633427,-152528889,776163336,-1549596789,46367492,-1559786706,-1014823771,1499092994,1360819272,-2024583086,-142350119,-1959898277,-1618268649,-353894398,-1014801423,-1008801020,1944637523,17426691,-396315973,803735254,1527345671,1274749928,-1020983354,-1257901080,-1258130672,96331783,82314100,1064852474,-989671286,75630122,-654965383,855294696,11659465,75577087,-119871406,-2130276518,-2127102204,180367876,-402230078,971569843,-2130276360,-2127102204,75603972,-1979550999,75604176,41205770,-259340034,-930430462,-1070463880,293193866,1397903696,1527097832,-27764390,-1963886400,717392609,2042954433,75669527,-956671256,843263495,717238985,-389731646,384563787,1376027296,75577087,-1037384406,58245378,-386255128,922681383,1374160001,75669752,75564687,1515765770,512427893,1743323986,-20839935,-402425656,1542060559,46500353,-20895038,753437376,83656451,-1597470205,1076102275,-930479499,83814595,41027508,-924315468,1962498820,-397389047,1532688651,1352459914,75568779,178058762,-33393454,-1645083958,116787572,1963197571,718208514,1357286132,1323893624,1347441408,1476714984,-143276802,-402341912,1347946382,-771750983,78047460,-997584782,1622326168,1810421763,106293253,1857752811,-1731949984,1407768579,100198405,293100376,-1040295592,1347637329,1476697576,839052123,-1596131612,-536738686,-1073036034,116787572,1963197571,-1966277118,1489580780,75577087,-2110879664,-144775164,2128874072,-389772795,-1554450113,-1073085311,-1974793099,1949187079,512312065,-1655176366,-1006496398,75638410,-469056470,116787572,1963197571,180420098,-162862912,1206507915,-153056768,62144708,-466484619,-1996192861,-1979416306,78953440,-165673018,57936068,1395328966,1526970088,130418809,-488090835,-968664315,-773312505,75735299,75566731,-1276574856,6875645,-130291629,-2013039525,130433839,78887680,1379830595,-2129229053,75669508,-81009614,1131739179,540805002,708634228,28631668,-397388981,-466425110,-160158404,-227267780,-294378436,376778812,-355145661,-347402125,126372611,1961101912,46433272,173585387,1543206116,-1020983354,-1979415647,-804866612,-2129228824,1393259268,-213522350,-379928526,-963969473,58197292,1391994600,1492507368,1975519824,-922858751,350750328,509688,75564687,-385918487,1836319467,-1549726599,762628,-1576753760,195100685,653733376,-125083029,1839254154,-136039838,33557286,-1595657528,-147980275,40004390,786707144,1651381899,-1976641789,308440862,-1490646823,-1568624636,378078374,512229387,78643213,-385680478,-1279525960,2144516,1128466179,-31130910,-352318557,186026913,220105216,-1329581312,78029440,78063240,1408995305,77511505,8390529,1929380793,-12369138,-502762233,-1509490952,1495257348,116793460,1979647134,-1624866811,-1514406396,-1979217404,603980455,-2132508545,663281674,-997997733,-74913532,-2132745088,477331652,309674652,1975778973,-607061741,77989630,-380106123,1973287786,-18710525,77839958,1178997897,78069386,-2139102335,478732042,-242498722,-1962625816,166220238,-2146864638,-1207654850,132845433,78003840,-402228840,-806878720,75938564,1493455336,76463953,-402356549,-2034564043,73263108,-402522648,-2034563918,70576132,-1157497880,-974650220,-2096925951,1474823403,74799364,-856964610,1978198411,-1009939708,77932160,9431167,-1156588614,-85425335,266058482,-394180165,-1516114587,2013036548,180552051,604600768,77963903,1350414520,-1610586904,1950090406,-608564877,-2092319985,871549161,2139143122,-394271872,712508054,-394212480,686353705,276339713,-2135174605,-316938112,2013338344,55633923,12309043,-317986689,-402425699,-1514470590,180367876,58301447,-1149225088,-1092066764,108633594,-2147179077,-1144815561,-135765405,-251664383,-386810136,-1528298579,33614071,-402406424,132705270,-256317437,-1523122237,-1556676860,-11081724,922704730,922682531,-102234971,-13834239,300505691,77963758,158973962,1467855039,-1516077276,-2114158588,968821874,-768387205,-394198853,-1564807696,2131344176,2013389288,2067971898,-1556676777,-1523122428,-1277707772,-394175045,1515973733,77805311,77936383,-1157520408,837313097,-10855430,-16473290,-402348746,1515913616,-1142051864,115958354,266058490,-377402949,-1833243611,-2147042550,-387176215,222081111,602407797,126496433,1975519811,-1614822418,309508,-67108680,-1195136013,-1549598720,77964036,2812099,-1549726087,1958742788,2030153760,-1009191396,-1499409203,1958742532,77963280,125091850,91816368,214161654,-73350399,-33014782,-20382008,-236403768,1393324799,-396268869,-303562546,868441066,-2147435566,-1007964952,-1140860952,292708394,-840431381,1614461951,-1410857102,-260708352,-1523122237,-1556676860,-83442172,-1662515198,-277813248,115891034,79283185,1125634304,-1006968253,-788527943,-498382049,-1887386630,-501219326,-1329872127,150568964,-1185864078,-1430585337,-1977120252,-2013265529,-136166649,126402610,149520473,1948312704,-1440347943,-2955004,259311882,-1209468847,-2013898241,1963982850,-1010834759,-1090216002,-1174666069,92995588,-24868443,-1007164673,-1190888257,116064258,-1190889281,788267012,1135282059,-1946623421,-1018475553,-352015425,77578218,-1413487125,309508,-201531769,-1008826459,-1151904943,-1413544801,309508,1610607080,1371756891,-1413785773,77577988,378137579,512296099,-1950153563,-1962630378,-1023105762,1929301992,9038143,-1014343853,77923890,-620085384,-1516169608,1925393156,-1590004414,-1037368157,829766002,1609285682,103531403,728892581,-1031068811,77792811,427106674,1206632498,-1514186925,839355140,2030347526,-1524200941,2028210692,167882758,-1339233344,669776383,178513,-1516183929,2042628612,-34109694,-502893145,-352276229,-1341754611,-339736063,184528901,1599732160,-1313094821,-1084796156,92931237,41486130,-1185827861,-991231996,-396230725,-1746338062,-972327425,33749766,77792967,784564224,38443,43915822,166249216,-1610057474,-1073085275,-1581052296,-1073019741,-389869192,142147060,914412237,-1015020379,1023714209,175472640,-397159475,-379851301,519569382,-1144847197,870843513,77053696,-1207957319,-201588736,75014827,-1023104350,1929230312,-22877949,-1618274421,-1178402814,-1511522300,-385649923,45743766,-24057600,-2030041927,77577211,1929220072,-25106173,45735815,77840128,1944714119,309758,-402350145,57867636,-1174510103,-1547763710,-27465468,1929208808,-14817021,-385954327,79297880,-1190956288,-1084424190,905905317,-85831857,-1413495979,309508,971510251,77578237,1929381049,77840134,1476395705,1195836815,-1018103070,2046631912,-707935487,-1259797646,-199497229,-1158021120,-628228000,-762396018,1688387634,-1148078844,-1699086336,787647238,1124567212,1976434242,118406388,-1141239091,-470351808,-1020535924,-167771973,108392644,-523041615,-1991518069,-1962922978,-853349917,-157143888,12040961,842663878,49914560,-1577056606,1705116779,2662916,-1996288325,-1157428194,512295802,512426978,-1991573460,1258490398,118405971,-543030096,512316164,-543161120,46202372,-1227846976,1524237056,512481927,394790112,1127712835,-1190862944,-1073086412,-628683148,-628631293,1128470409,-227161858,-654058873,-922856637,-1962592606,-1962614754,3390231,512350723,1130038500,3153545,54861449,616729178,-1966044418,-1966921022,449219288,1945668295,-1385633533,-338492495,37537674,12256114,717392386,-1965520189,-1966662970,-385649672,512339274,-628686070,2891401,53419657,512353163,512426821,-628686800,732773864,1397443546,-444536741,-394273605,-1729561729,-1013978708,1954103840,1713402725,6645106,21,0,0,0,0,0],254,[808466229,540095792,1380994883,1112088622,959520845,-522702536,12181997,-645137344,-1157627976,-13915563,-45110541,-880019573,1975792300,610460709,1962979520,16547869,-1031142540,-2132155734,242483452,-226041718,-663468036,113231,-87830293,1939789236,2068608334,-1622640310,-321780303,1085292915,997318864,1923015730,2016703542,-1624212942,-321780303,-456119950,-4709008,-661718529,-1014047860,-779173492,-494153076,-175379317,125042315,125159219,199455736,-201231161,-1595539280,-1716485146,-55548954,-1070964250,-301737798,-1195720450,12119555,-1143959824,381476864,20179424,78697845,1420822758,-919911450,-1047864950,1085293030,1105478630,-75442166,-503024385,-1967854607,-423023677,-431968191,574743619,-503024424,-1331631116,-1337727404,-431888878,-1962954739,-1174893864,12189704,-1192301056,-1964244735,-667161376,2062091124,-303938817,-545992458,31915952,1487929830,11537382,182847718,199639472,199639728,199639984,-1912586056,1914604504,-1900008704,735612608,610329855,-1325136884,-1948200180,-52393272,-453123414,1947149410,268483096,11591818,12173966,-201380992,12747178,1976368648,-434917137,-435638240,-435572703,-1900008671,4243136,512351886,1048641650,305397874,-661768076,-1908412228,-1141339184,130482212,1128522422,-1209528436,1710981124,-5108107,-1979401496,-889279805,1053685365,-1124460786,770301976,-385649410,817430205,-1127182848,-953810688,-1023408122,113714914,-268435446,-1191171351,-1070456832,1124532782,-1073022238,1380012227,542725193,1128613955,1345462347,1414091329,1212358745,541803333,-1900008655,113714880,-11272172,369542950,-84934656,568721584,-1073077788,-5231755,568599014,561316100,571900,-1207951169,-1196694858,-2085883904,-203291453,737928242,-486612279,1961102078,16890376,-100422168,838907124,-419516179,-435113951,-1978224317,-163518783,74842052,-571737630,-5238095,11813094,568786608,1979696374,-369499444,28573750,-419450800,-434065375,1355765792,1084777188,431884404,965090,-2136470805,666767476,965090,-855637832,65464336,-816253702,825242144,4243452,331226894,2144767,-5200397,917512678,11551718,1088831718,-1912586056,58255576,1957362560,-432230362,-460287903,1979655264,302448150,113714688,-424542176,570869542,-1326448640,-1339955458,-1302206772,1610660612,1979631848,1976237575,-1878529033,-402587206,1625555678,279118004,1966089216,10021123,-58662778,-32934864,553418944,61866613,-840684976,-1152362480,-1195724800,268482819,-58719824,-1156877264,-658851840,1073789187,-1896953602,4241603,1048696974,305397874,-611447436,1962702568,16955910,1476559336,-855591856,1881192464,683278123,-1410073600,-58699688,62569008,-625343628,721990659,-1004344119,-102628235,-919923733,1959011052,-335945212,-771510008,-337349140,16955910,1476541928,281870516,-1912586056,270961368,216301568,-453638992,-796192764,1659164811,548671268,363062518,1090224896,-1070923148,329499395,1916698880,1947350016,67156813,989860025,-1907984687,-2084335909,-1014951743,1397818368,-70064046,1952013146,-1965388570,-1312388376,-387395068,-964034498,937955108,-1312454144,-387395068,-980811730,669519652,-488063488,-402651975,1256784464,4241408,378263694,-771031019,12185716,16482560,-1142458608,-1679093760,-1155592674,-1260919625,-855591154,549658384,825307187,808857907,2013510705,805468163,875770417,943142453,1128415545,-1203354300,-661782464,1195648,-398887935,736297394,1642483120,1974139776,-422793182,-431181727,-490132639,1012983038,-1978043392,-771444248,-6493976,254068106,-1090546200,79291559,29288448,-1064386517,234893497,-17580513,-67100481,1085842931,-1327985152,-1335761331,-1339955457,-1203509578,1122370771,1122419850,270820068,-402625630,1005065278,-2129861868,1929724155,284918022,-1106676988,62514347,24045568,568786096,-1476390752,-385649407,-1129316167,11805158,-990506035,-1172277761,481297394,-490132498,872342270,-2013153838,-402637290,124913907,-320331083,-1106676984,62514350,19589120,-222688080,113765891,1966106,1836743,-1313013730,48868,5671726,720284336,-1438847808,-1802959243,1178992648,-41859771,-462035785,-1174404933,-1460927494,-955746824,-134217593,-1169997053,-1460927750,-955746824,-134217593,-1958526206,-771509818,-1564276024,28966929,262728706,243271029,-1341128687,-2136938880,16781886,28968564,1107968,-2147430423,16781886,787022709,-8984070,-1205929316,-661782464,410318346,635963059,-16850432,-2131397170,16781886,-844102027,-387227162,233308595,-16850432,-487230006,536797950,-1229929571,867714022,-1975327227,-465377596,216042081,727836163,-16850231,-1963297333,-1016994108,1642466480,-500607303,-422792962,-431181727,-419581855,11860769,-990459605,-503155201,-1973361415,-422793000,1375454049,610395216,727836351,218030793,-1335761344,1478551072,1085853529,-2133291520,16781886,28706165,788485609,-1220148086,-854674432,-1191910896,281873933,-854717768,-1191460080,-661782464,-1476390751,-1188858879,-1269759996,1913900288,-1157450732,-1014104064,-1166278469,28901376,-855527424,74668307,416145634,8126698,268032,-1073643517,805330944,201332736,1377762048,-1957603498,-1159278094,-628228032,38027,376754699,410313738,1316277502,58051838,-33519127,-385649204,1599668409,-820028834,-1031544694,-293556221,-1026501494,-1026506032,-494812464,700383246,-1946549273,1107296404,21334574,-1976677650,-1031541243,616860163,-360452577,-301944830,-2091877909,61867202,-2083965970,-1460927806,-502762208,-864003847,732425040,279506121,-102627211,-2134081448,726309099,547941577,-102627211,-2134081448,-360478485,-1047897851,-8459794,7415424,79856511,-2081554000,-919928126,1965074668,-1258692089,-10294912,27847754,116787573,1954545777,619506676,-1948218850,-335544172,-1946204183,-2097151852,-1964243518,-370392352,519831352,4242259,-469050482,-855766156,-855760780,526069108,-91161649,1711755,1842747,126612340,-1996480792,1526733342,-1946497249,989862430,-1962927074,526121735,-1610612022,526057495,46367695,4127617,515572597,978502400,490227269,1082144298,67637280,-15007486,-256,-226,2147426303,85398015,353965074,454037257,33491485,117834771,202050056,-1,51911196,219021846,-1,-14614529,1633705822,1701077858,-39066,-8061065,-9109645,-8978571,842079231,909456435,809056311,151534893,1919252337,1769306484,1566273647,1935802125,1751606884,996961130,1560240167,1986230394,745369186,721366830,469704959,606289953,707157541,727656744,1464926216,1498698309,1347373397,-15893125,1178882881,1263159367,2116172364,1482325247,1312970307,1061043277,553582847,1448432895,1515804759,1750948955,1818978921,1886350957,959985521,909456429,858927403,1212624432,-11796663,1347419981,-78425519,1381061456,102651734,4241660,1625610382,-1973296048,-427815712,-421493151,-527804319,58064700,604141033,-1090056577,146401410,-1968246272,-385649468,-276758392,-1976637309,-1461155163,-2141948544,124981500,1517064,-167738391,67114758,1379690613,116794741,1946681367,-1873024253,1509110,-166890208,50337542,817368436,30992722,1509110,-2064419837,1962940454,405145677,388378624,1968323584,1375778881,-2147370519,443748604,639685878,-1204027369,429927541,-2013219840,1006639398,-383814656,-722075229,1582624,-2143546133,116789363,1946681368,1950694423,405176325,-1325730048,119596576,1516134175,-816293031,1509110,-385649400,116785295,1946419223,1968389169,1913046829,-384683008,1330836945,1280004432,1229473613,319951120,387323156,522066200,589439264,740697380,808398381,960246321,548406645,-1090443799,179956362,1974399488,-1947238126,1679594,-453637452,430098179,-963908864,6406,-234874183,-1341819474,16312576,208798268,141758012,-1334393728,15264000,57883452,1023370217,-1141279929,636086627,386332161,1534329856,410338876,-1996480837,-1996482018,-973071330,-2147454714,12065741,11856128,561333564,1576576,-434065400,1228832800,125044480,-1610360646,-152174491,134223878,384432501,1966554367,1912649734,-1157593623,993847442,2028667763,-389235824,1006683113,-164793529,50337542,255613812,12060277,-1872631025,158676796,551952560,-622262835,1916484862,-379995386,-1157589015,1089202463,1509110,-165645024,50337542,1245454453,1312557940,1194069108,-337020229,1244510327,733487851,-165811378,50337542,1177346165,-337023557,1916484619,-352276476,-387597561,-684799746,527761212,1962933376,386332186,544489472,1509110,1007645699,1008038465,68253530,-384963808,1631387228,2050754162,539755127,1842827,1625879435,438189052,-1995869184,471763204,-29693696,-385872408,992804404,-527771858,-1460993872,-1152298160,1642332352,-419683248,4766049,34406114,1220108774,1274995200,-430380171,1482381665,1364458435,1431787038,-1091794094,-561119168,-1157620504,-1572860,1076267009,1093044736,33325056,1599953653,1532567390,-1979710774,1059487984,-469074176,-855758988,113669236,-2147483583,326305018,1786039550,58051838,-33515799,-26708788,-966232884,16793862,66239171,4169978,-523107151,209002664,108347560,108298408,-1057046274,135053566,1040631534,113639424,201326657,-386142716,1117782568,1958755328,1091469319,300621824,1206387636,113409,-1157534232,1743257603,1101054721,1185989376,-1274955288,-1338578074,-2131367102,-2147467506,-1477948752,-347229183,506660,-1157545496,1005060105,1030913,-1157548568,-1410793455,1057914880,1253081088,-1274969624,-972524731,151011590,1354956976,-1328903599,-85929471,4196038,1057391871,-2144242432,-268419290,4130312,-770658053,214043360,-222670324,-161812989,-2147467514,347804276,14739456,141878282,-18691797,-152318722,-521643525,-58042368,1265762486,-1863453762,9758806,-805214582,-2132487964,-502659868,-2147449368,58019327,-1962974487,7923941,-402561398,-511049614,-1157599768,-1813512185,637696,-1157591576,-2014838773,899840,1577091560,1912684776,24373317,-1090764942,615252034,1010529472,-1406569152,78962896,-523230094,280289488,-523232142,376572084,-523181872,242353332,62185680,-523237262,41026228,638066868,2011693121,787006209,1877525249,-1008455167,-189116078,-322358525,208945320,243333602,1501560897,-1007069094,-1460877005,-503024256,-1964250119,66435780,-1017488914,-1900008674,2016855512,-1964257024,-999153888,1359065283,-1059927414,1040614489,135492864,-1275052538,-5445625,-1477909878,7530751,263465330,-1962959384,-6756126,-1813453430,6220031,1227676,1375712744,167913145,-502893340,-338886914,-1013097997,-435362223,-1312781301,-1967074556,66069736,-33393725,82202821,82232458,254068106,-427130394,-388906966,441168,-1962969624,-523020084,98979912,99009674,-1056745383,-436031399,518570762,-1273728512,-14096376,1912622312,4366346,1614569508,-1007156620,4263552,-71042752,45306195,116836659,1971322942,-17309172,-2131528245,-2147466994,645963001,-1652621250,-71083175,1085820958,-2133291520,-2147467762,551952560,-53534888,1358971583,129192786,-189085389,-2136413181,-102626187,4263552,1515977088,-1460878503,-2146994880,536887566,-331157525,-1186527864,-18743286,279505994,-872544652,-471086475,-1017554341,973096352,4694213,146475636,-21960704,-1057045366,-809254614,134358274,-162463958,519767065,1397839442,-1912586050,-772633634,143952870,1959922432,1961101836,1959591438,1959591490,1582914346,1355751258,-919401805],255,[-1964227858,1971366112,-17309170,-2131528245,-461372980,-1340806151,-1326562803,1348005388,562315,-527766462,1526260864,-192888182,1354951496,-1341996413,-390533624,-42645501,-336720720,-806290213,452063473,821537266,1106418930,-1007452685,1425274611,670316786,2063016692,117242866,1397838366,-1974446250,-773573948,1039174624,74580000,21490008,-1912586056,-1207912232,1064587,3204993,1966145411,-1342130173,-1973895026,771770662,-263871233,170731576,471402015,117835522,0,173690993,471402015,117835522,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,268437504,1073758208,1347430440,1347430440,690825260,689843754,-1291594566,822051584,128976757,-33311558,-1562342717,378077257,1344143459,79856466,1525597066,-661733333,7610053,1096024,1912798336,-2133261552,158467324,-58664701,50491911,-466464551,1122944138,126534910,-498449426,857692403,1312721407,1644611072,12124160,83656736,-58717070,855929863,-1190728768,548931584,-945032441,1728077830,4825088,-259267534,6493835,772063875,-252410742,6660846,-326858194,-1545325840,-427753398,-1959919602,-1980701556,-1191162866,1354694664,856104448,1118565312,1048588464,1963327561,-297816062,1593861794,1515805534,-1261500641,1611565322,190464,378269163,-997588893,-980794642,-997569810,1122943230,-1007763062,-315437174,-242490927,5280905,6438456,-1031076491,-352320792,8382654,235128971,-103743410,-1041756492,-544553985,-472776910,5281675,6295179,1482382943,-821616808,-1962909022,-1744810994,-1545472176,-930414514,213187025,1543476200,-2020875311,-1192755120,-9180673,6493835,-1610235261,-16121754,-534507915,169862016,1721953987,-11015936,-338632924,537719667,646639595,1235222602,1648265728,1499356928,1409236969,-997533557,4859638,-1023148238,-1017388847,-58664822,-2146930172,57935868,1392636905,971555211,53703680,719751920,7727331,-50072317,-176829186,-400510888,-50134928,-143275010,-1912586056,1228832984,125044480,-1174379104,-370277416,-561316127,1048632043,1912733769,1228832793,309789440,64666194,145288272,632355700,-301737798,2129156696,1309017087,-1946645760,-19846160,851640006,1244564461,-1964178688,1244067523,113246976,16482335,1456114371,1604711255,-896875682,1605104471,-661979709,1912929408,133988360,-1494678668,-1031056639,1962906600,-1963971808,-387765530,-181665841,-855704277,-1336347275,-3479520,-872481493,1474951029,-337736961,83656941,-58718094,-385649657,451412649,-1946973440,-2097126634,520488642,1963043052,-1460864261,-1376029695,-1963056919,-1947389233,-1947807247,855658628,50783195,-503296994,-20190982,-2134648829,141690108,1946680448,28436739,1364255626,-1946169112,-1956947461,-2097126634,-1460926782,-84183807,1946265836,-1413248005,-370613509,-58655279,-2146930172,57935868,1342275305,-6297519,1532623755,6493835,-335101309,-76217944,27847930,-1014301836,-387823702,-386031383,-1977221071,-758898172,-758215968,-40900160,518541392,585683456,210380484,-2134641061,-722072203,-1056256990,1476692006,855470313,1408625601,1378398288,-151068032,-1024042270,84112385,-259317760,-1143895208,45679296,1228832771,108135936,-1191083845,-366868733,-234624301,-919930998,-855455536,-126496770,-321723510,-661994661,1793638795,737708802,29524433,-790179839,1228832998,74647040,-405675312,-316006650,-472849456,-1014354572,-453619532,-268175477,-483727734,-2130673432,-2128629522,-31477521,-1963887156,8972487,531689345,-176829442,-1963141911,-34804770,-1031022454,-1962798872,-2116998152,-805240382,-2132356890,100682046,-489683597,105375697,-2115163617,-805244729,1961087203,-1262253522,-1947929008,-1963971593,-387765530,-293535711,-276750256,-855760816,-947195531,-2130695704,-31436561,-51022389,-1963166487,-1964250146,-212379958,-2124521564,-2128609082,1444937927,-204830121,-1017225308,-212350326,-947822678,-1974001664,1605039050,1342223555,-1962834456,-2143528712,1857947251,267063034,723419180,-975270154,-1946125258,-783147046,-773795360,-2131754016,100682046,1462530591,-1408977322,1971373046,648849942,536839560,-28326013,1592554958,-471709857,654046441,-1398143694,-8048090,-1964971233,-387460653,1448542417,-391379786,-1021116194,1954595574,624043527,21312038,639993894,-1409202808,587253224,-2134706493,841353844,639631525,536970546,10848294,-2054674912,-947707903,1976499792,-2090901823,-1226702137,-386165527,-259325738,-1962349437,1228833004,520488448,79043186,1183319178,-2071313152,1183326208,-964475648,1976499792,-1877480469,79095505,-2130671384,-400555834,-293535615,-822206544,1858072181,-2096689414,-175437587,369144060,8436255,146364246,1604776704,-31558562,147293120,1022195018,722629632,-992440640,-1946125250,1959201728,-343887868,147096530,-2131029783,-1014365213,244049,-523181872,-119351286,-1017513078,-1168944814,28901376,601393920,-774698023,-1948134944,198779864,1944179155,1539476460,-1966908839,21269028,-1296039751,-121535232,-788987532,-773205550,-1997376535,-1018888106,1392529569,-997533557,4859638,-523116335,-1023148246,1347470171,281871284,1946696792,1947024473,1946827870,1946631262,1648265825,-1190480896,281870337,372949758,913637450,-25165646,-1272089320,-855591166,4825104,108135484,11994940,146015861,-58060595,-1190788680,414580736,4855434,281922302,-95950504,45401854,-92211989,-17337344,-1292637238,-2131760384,-394979074,45332971,-336672792,84083675,50529029,-1962888188,-2097126634,-1460926782,-1468500732,-1266781182,1662421776,-289109504,-393548734,-1966801334,-331157820,512419210,-14024631,-1583379922,734211063,2030063110,47107,1048576945,1912864841,1228832810,594806528,-218748750,-318576502,-13968246,4800128,-1325107962,-739979260,-1965782301,-789655312,-166532114,-1979692490,-757822736,-1964471584,-738250020,1375843555,6493835,-301481341,526278490,119480095,-1205929009,-661782464,520098721,-1205929009,-661782464,520097953,1344207823,-1912586056,1898348760,-396853504,-903938044,-469106686,-855764108,-855762828,-855762316,669582197,-109005823,610395331,711059191,1642382308,-169146356,-1101639341,-1024983033,610460673,7053840,-163611974,-2147454714,-1964440716,58018304,-402619159,-337444666,-1190954822,568590848,568721676,7407350,1366062464,184593896,-982230583,82039611,-387793037,-1679235470,7006208,1232410172,1364941150,6883015,12255231,1896281601,594903040,1912623080,637920030,1229129608,-387285174,1038614592,-2115753472,251685182,-486116067,-1261573370,1522859521,-162475733,326435780,-352313368,57953806,1593795305,-768910503,-464517964,-419552223,-12392415,33325144,1364444149,-397342543,551747622,2156627,52028248,-251952680,1503655174,-392243760,-906100519,-980754315,-1017423368,-101975719,-1979685703,-469734618,974136418,-1560747580,11534443,1088701414,1088741514,512476294,-668270489,-1023383645,1642352979,17628452,-1229954586,-1494727706,77641728,-1191148056,-386332672,-85852056,6482168,380656473,-956283672,-16750330,16825087,-402159066,48431157,2135574851,6922739,-2041523977,2353376,2091096,-680146677,2144593,2812153,-1336280350,-1203509584,870842369,-25499648,1371783211,-1310160304,-1663709176,-1660941336,-33544984,1492284873,-1598504103,-1207733756,-464518576,1948263522,610460922,1492808992,-997571866,-1581038874,-657391511,1912131793,135279876,-1546595847,-389873559,1119092259,-502857543,1976303358,50167,0,-2122448896,-1715633755,-8487295,-406585381,-26444033,947715838,940572688,947715708,2084046864,2097086008,269515832,2097052728,31800,406600728,-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,-960074696,519766270,4241488,173594766,-33065756,-82414388,-1594175713,113639536,-1962934160,-1962906098,-352293866,378141418,243859564,113639534,-352321424,1344207834,4241490,117430414,74776684,7210751,7224963,-2129038056,-1342149570,-955157248,28166,1812383488,-973078528,16805894,4198142,645925749,-1326448577,66238988,-1340289554,1512105504,-1513152680,-2014314242,15728873,0,0,0,1459617792,15728879,1694498816,1307574512,1106247928,1508901112,972030188,1508901095,787480824,-756023064,15728879,-218759168,1861222630,1408237822,1408237823,-1527774977,-940572432,15728879,-822083584,1397759739,1354256977,-2133291520,16777278,113663860,-1275002880,-1978610417,-400968244,-1269759915,1494273283,-1261292718,-1273967358,168873224,-1342016064,-768388576,399369266,633665114,-1023532683,-545928646,-494218702,2353234,986119770,1523611118,281871028,1734,1510664960,281871028,1734,1532582655,869211992,-1327222062,840420618,-854740764,-15593,-1,-1,-1,-1,-1,14703594,791949552,942617650,-335544527]]},"ibm5150.panel":null,"ibm5150.chipset":{"0":[109,240,109,240],"1":[4,0,null,0,[[false,[255,255],[255,255],[255,255],[255,255],88,null,null],[true,[255,255],[255,255],[255,255],[255,255],65,null,null],[true,[228,36],[255,1],[228,38],[255,1],70,0,null],[true,[255,255],[255,255],[255,255],[255,255],67,null,null]]],"2":[[[0,[19,8,null,9],4,188,0,0,7,null]]],"3":[182,[[[0,0],[240,170],[144,15],[50,246],0,6,48,2,2,true,true,true,306132485],[[18,0],[18,0],[18,0],[0,0],0,4,16,1,1,true,false,true,306212038],[[51,5],[51,5],[51,5],[0,0],0,6,48,2,2,true,false,true,306212038]]],"4":[null,76,null,153,128]},"ibm5150.romBASIC":null,"ibm5150.romBIOS":null,"ibm5150.ramLow":null,"ibm5150.keyboard":{"0":[true,true]},"ibm5150.videoCGA":{"0":[false,1,null,null,null,[]],"1":[true,40,32,9,15,[56,40,45,10,31,6,25,28,2,7,39,7,0,0,3,152]],"2":[2,3,1]},"ibm5150.fdcNEC":{"0":[0,0,128,[0,0,0,32,0,7,2,42,255],0,0,12,[[0,true,0,2,32,7,8,512,512,102,"PC-DOS 1.00","/disks/pcx86/dos/ibm/1.00/PCDOS100.json"],[192,true,0,2,0,null,null,null,null,102,null,""],[192,true,0,2,0,null,null,null,null,102,null,""],[192,true,0,2,0,null,null,null,null,102,null,""]],[["PC-DOS 2.00 (Disk 1)","/disks/pcx86/dos/ibm/2.00/PCDOS200-DISK1.json",[["/disks/pcx86/dos/ibm/2.00/PCDOS200-DISK1.json",-1200841428]]],["PC-DOS 2.00 (Disk 2)","/disks/pcx86/dos/ibm/2.00/PCDOS200-DISK2.json",[["/disks/pcx86/dos/ibm/2.00/PCDOS200-DISK2.json",-2139005430]]],["PC-DOS 1.00","/disks/pcx86/dos/ibm/1.00/PCDOS100.json",[["/disks/pcx86/dos/ibm/1.00/PCDOS100.json",1968233120]]]]]},"ibm5150.debugger":{"0":[3836,62976,1011452],"1":[0,0,0],"2":["d",false,0]}}
+{"timestamp":"2013-02-02 10:53:08","version":"1.06","ibm5150.cpu8088":{"0":[61,4136,0,1120,39708,7076,9,7076],"1":[3835,62976,1613,1613,1613,62022],"2":[25808,25808,0,0,0,-1,-1],"3":[1,306291588],"4":[0,[6291607,6291620,-268377405,6291620,6291620,-268370092,0,0,-268370267,49746828,0,49756524,49756524,0,-268374185,0,-268373915,-268371891,-268371903,1408,-268376263,-268371879,-268376018,-268374062,-167772160,-268376334,-268370322,49746934,49747136,-268373852,-268374073,0,11599889,11599893,45154628,45154567,49743235,6291477,6291480,45154695,0,0,0,0,0,0,0,0,-1325392406,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,49742170,49743184,49742170,49743841,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742678,49742170,49742798,49743302,49742938,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742986,49742962,49742170,49742170,49742566,49742170,49742170,49742170,49742170,49746364,49746531,49742170,49743600,49743553,49742170,49742170,49743260,49742170,49742170,49742170,49742170,49745049,49742170,49743488,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49742170,49743793,49743608,49743321,49743341,49743375,49743429,49743799,49743824,49743471,49743540,49742170,49743450,49743463,49743419,49743620,49743697,49752091,49752159,49742170,49742170,-268375673,-268370267,0,0,-18153472,-226234368,-65280,-294846400,-226299904,6,4194305,60529,4514999,4194304,2080374785,-268376291,324246,0,0,0,0,1073741933,0,3538944,958398518,409935972,627781998,360256101,811742254,527638113,527637517,778245993,73313,142,117448704,2621698,2048,5888,0,0,0,-738187513,840968195,268435702,765,305397760,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-11336115,9498624,26935392,689,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-329706517,61440,0,0,0,66880000,-13761164,1342538286,509040209,46726662,-1090056511,521012618,7878341,-67105863,521053427,-1593471326,-2036137864,8036613,-955938653,-1979680762,2047773701,1595868928,-1671931554,-2111897810,508599301,-2036261106,7906053,-1559918431,1478426746,182941,0,0,-385785111,-1293352851,14215424,-385816343,988348708,55699713,-385658135,11600196,1229062178,1444959055,1769173605,824209007,-1607454674,1244475954,942500981,168624177,544503119,1881171567,-228233119,218106381,1769099274,1919251566,1969317408,168686700,1091177728,1226864757,1696616239,-227577230,771754509,167995040,1377072576,-855526254,1024029718,74805760,-1073082192,-883235190,1711719982,-70319357,-1514515888,8710144,600660058,1141509583,1684633193,1986994277,1818653285,168687471,-1336241664,109456896,-1073085594,-1840112267,382533812,-378224629,1970405437,1007726594,772109568,57026184,-883235190,1448300629,772715607,-855636037,1532911376,1355504984,113651282,-1174404251,11796480,1052383181,549778944,1337593973,96794112,-2144466060,16999734,65593717,-883402240,-1406209401,125075236,1610671258,-2014057728,1347601394,-1275068230,-1173041918,-990511007,-402426866,-1973747750,1355504358,-1174293422,348979200,1954596086,6404804,11844843,-930284853,-795944818,-83663428,332260402,349021104,399311284,-1071312435,375040,33941715,402688,37494644,-523171979,57149126,45529857,130537475,-2017001472,2,-1247614767,12066306,-1193767424,1856176224,1812383488,-956264448,-1761607674,172800,-1996446533,-1560280034,512294918,245563404,270436608,1221376,-1912581960,444376,100663296,-1912557128,327727552,14727420,-13379442,-1510738037,-1245831417,39426,-1157955407,448004352,243999181,-377421818,-611581696,-661731188,-1274910278,169987343,-952732224,166406,-1945712896,-956301310,16938758,-853036032,1008657185,-1910868735,-1899786533,4242643,-1957642189,-1275035626,1394724122,1342243000,42908363,2063515112,1329791486,1312902477,1329799236,16783821,827136,33752064,419435264,1536,211754752,168624128,543449410,1830842991,1769173865,1126197102,1634561391,1226859630,1919251566,1952805488,168686181,46268928,706,0,33554432,33554689,20971584,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,34080768,1828732930,-2098200338,-234683150,-1322843901,1762434818,302026754,1610743808,1090695424,1174429698,242,-352144384,100905986,235347486,-47806177,-64583676,1748926468,863305987,-1896467682,-2032104738,520422438,561300538,-1572797358,-1480981309,-41621500,-1897057506,436651741,113647108,522060828,382533812,-1845448614,-151648074,-997800706,83862417,-947126090,-405674031,-405674031,-947782909,460456447,-271523961,-416644940,-533012597,-527826314,-389772720,710410317,-29068092,1409044680,-63012858,460587524,-1185811573,520487168,1707017998,-203453695,521034149,117469672,-1156191397,118358373,-1962908184,-1956968461,12145147,1504047873,1476577152,520094952,181139463,-1268288320,987834889,-1979549984,-997568288,1476410344,-456080342,-471073790,-855591785,175394323,-58669173,1476621440,118368235,-997537909,-1090516295,-1359870744,624010,83824267,83699339,-872872161,96338352,-64583168,332222468,676905586,33881862,150569160,-973208458,230883761,1936607498,544502373,1802725732,1702130789,1919903264,1769104416,1101030774,1851859002,1953701988,-445945486,1851853325,1701519481,1752637561,1914728037,-110861979,657933,270549120,50595849,100794626,67896332,202113032,1553922,0,0,0,0,-1324052503,1396395266,1077755452,1095912255,-352275391,771523102,11540854,777541839,363529871,777058972,363542271,1998911874,115444457,1448563998,1347637586,-1423537874,378285589,-863234643,-725822322,-2010186986,-1978303194,-788482084,-58524445,-1140621812,-13756460,-100630121,-1423537362,378416661,-326429267,1476413064,1582979419,119496031,604365775,202399761,1308693761,1108423441,1527852305,403606801,201383953,1494119694,251916035,1326282765,772154882,-2130403066,1493228802,-586296818,-587145971,-587145984,1040243968,-1861859834,504259085,1309814802,1913017862,571672081,-1106023149,-1023365101,-1014047949,436651558,-970580476,503585798,20766858,104600436,121376628,138152820,171706228,11535220,-12654141,-1710259736,6291471,1354926787,1477408232,1610617498,1580974848,-1927776500,-1947479752,-787909831,-772812305,-101723665,-410922031,1354960895,-4226892,69789711,-74726568,-570168367,-271458557,242433931,-489561391,-489561391,1042305,-410974997,-99880960,-1094500471,112399391,-1189771585,-1494024188,-251459468,-260715522,79283193,-215961600,-1963625042,339131331,-1210545449,1676198911,1392144897,583710,-389849337,-93191850,-661731188,1946139880,30992625,1912616936,-448823063,-208989580,-1189771585,-1494024181,2105674868,-160153601,1929401064,646628324,-722070127,-964484062,115638287,116846452,1962874282,2124530659,1178288149,-1555074296,78714238,-768352045,-757997359,-2147393909,-201858845,1720375947,1493580544,1392866324,1526922984,51893434,22414298,2118028227,2117814037,-1994951928,-2095743426,-633659197,-1057093006,47835218,399817562,1692976120,-389809917,-5177515,-130353038,113702004,-956361659,478930183,185759373,990409947,58133598,-401966104,-495714494,-402528024,-1070464205,8186051,-964462734,361938693,1912643560,-15144852,-8231054,-1100843777,-1648421498,440597,-2034260493,361938453,-1409283143,41238332,1135216522,96925154,-22026234,922695795,113710462,-60034,1493101032,652748915,-1090810881,196679046,-962268416,-15448826,-1089102402,112792966,-391777536,-1301020986,839039720,-1259813952,-1006653438,-1442396626,-930349035,-2034253682,-1393390827,363438638,-12844876,-1031599499,113672967,-1392548726,-1859745746,1959957,1015206258,-881526496,-402650183,91557544,1979260988,1914715326,-270357830,104345283,-126741434,-439249512,341552779,-29431613,-8216718,-1977191169,-1057095610,197624746,-1196703693,-1381302144,-1515859829,-1409792885,-1424654687,-1414806901,-1431584717,1569269443,-1010814442,360580807,1183514623,1808896,1183449184,291899904,-855765896,28632436,341116475,104521076,208999509,340985543,113704960,16716885,341378759,-1192689665,-806858752,175265793,1946633770,-371657034,-812973947,-922824445,-1662457995,21358848,-1950154576,-12745990,-947715211,394101255,-152210177,1962876485,-402289945,678625087,-1275050358,104541697,427103317,521018962,341182150,1360956160,112916,340989579,520197352,-43587494,2124499058,1161504277,641692950,-1994895989,1435182604,39094544,307596070,637817993,-1995156085,1541996116,293503489,-971475711,-402648762,1364328475,1390956627,1499158529,-19856550,-1326484024,1187431168,-5242863,122063555,-1978507635,11865678,-1023060341,256246680,-725888885,112919,-27465533,-2034291854,768277,-1359855696,-970055820,18196998,-270000558,-401247236,770244302,-448823043,1558718324,536245245,-1006653350,-8193675,-1958972161,991093516,225905742,-1915122861,31986294,-9181176],1,[-1090811045,96015750,-1510759424,-1441427040,112312371,-1847022605,-1070355699,-217665193,-1545055318,-128034048,1072258823,-1863823106,-1974446080,1503854694,-9902060,1476395752,7137475,-969999757,1422598,1006634472,-1007782911,62991255,1727484624,-670868991,1446707380,-32345595,253115332,-32869888,169229252,-33394176,786747588,364193290,1426081418,-1356429010,-1909523947,773172502,363538059,-1993464627,773172006,363665036,-728839028,-1356428498,1012792085,-1017482238,1426081418,-1705881261,6291477,1566269274,1158084291,-126550252,340068038,341417984,-1963011608,1398079558,412766801,1509974016,1935498079,113651419,-402582091,20774758,784589172,363542213,856972430,-1094676800,-2000748534,-1515870976,-1899459419,-390033704,-1070397409,-1391030534,-1423537387,-1093104107,-2134966136,1487250709,1582979419,119496031,788475643,820516224,50915334,686294763,73656326,17122787,13796096,1458060779,49342464,1323836907,72083456,1239948779,48293888,1105725163,71034880,363542213,-486257527,66822,637588099,639714697,170087816,637826294,-1960544888,645866696,-2145368696,-506363679,-980757807,-1993940342,-1607594939,-1178397262,-91553791,1979661698,130515715,-1960753781,868426581,-1308178743,-1017445355,-1962571184,-167047563,-2135030155,242583808,-1014047860,-611398772,1492941544,-24913550,-1241353664,-1106343680,364552981,364648073,364265097,340336267,364387977,363988678,-1291401728,-628424683,-895228169,-1014279659,56354551,13796291,-861710731,-1580168427,1586173386,1943223041,-1544292537,378082756,-796191288,-1576843742,-1047849551,-754692470,-1038710294,-1947797739,1225130952,13796116,1235294836,1977153300,-768391167,-1096550665,-957941995,34976262,199477387,-1022200179,363988678,1539912449,365470147,-1072965237,1177226612,735639297,50623448,-1545915453,-1014295090,1995952691,366125825,365958793,1569400515,1435182618,1960512284,1942629149,868877064,1569400530,-387587304,-8259216,-596439048,-498926713,1245823986,-1038709821,-1323398635,75425813,991278242,1964266262,341155848,1946175034,1443296832,376766228,780883282,512431191,28906577,1393986304,-36968428,116808285,1979651508,1360956172,112916,-47847342,1393985882,4622868,1436745908,1462667540,-1291401708,1049297173,-141879880,365825675,915009795,915084728,906171473,851645896,-8263488,1258720774,1944703252,-1510759423,-996031737,-995934187,-972670187,1996599317,-402608126,-142082209,118359582,340467342,24373713,128316324,1443284511,-154992364,-15355130,-1314904204,985726485,443941702,365043339,267975553,1988957555,-125376494,365051529,364906239,-1314783056,-104597483,1017818307,-972851955,171706884,192279520,856138728,1976110070,-1996420025,-1995159754,118863934,1049299317,-2144987722,-377481651,-1006239523,169101630,-32607013,-387942965,1017837598,-336011238,-1960898858,185878326,-2136050186,-2146108610,113706612,-8383237,-1168701871,2028475643,1493655301,-2112553538,-1921705412,-1331029328,121301002,-1679034829,1340721459,15198465,654147048,-2112463477,-1636499457,272993062,308120358,365561387,365698587,175495794,-730546165,41140539,216582283,-1039234050,-30545899,-1066022645,364910217,365043337,365837955,-402426880,1048837821,1946162642,-17569620,113652082,-1979640397,-1961512682,-1961504242,-401227234,1347879507,1260293662,-74848236,-480552673,-117735058,-1308069105,-1073283328,-1948194027,-1592412618,-125102664,340330027,-1960390093,-235467188,364774971,113648244,184620466,-971410222,51753478,-1912157653,-1827386618,-372129741,-206962317,1074238379,-24393589,638960289,-1592113783,-1993992768,-1163846587,-1139373291,1225253653,-763117309,-1581039360,-1073015344,-828139148,-28055531,113742194,5576,-335673112,918888070,-478145463,1960512127,1959525918,1976303120,440183840,-1565836,-336141818,-1092047852,-535151370,-1408570376,91494972,-502924312,243998710,1049302462,-1762978378,921225355,-401153027,292749819,363988678,364552449,364648075,364265099,8186307,-973010199,-402579899,-102171626,1166616071,1569400340,-32234,-1125611660,365601276,365696651,55171811,13796289,-1979615497,-388823986,1166747216,1435182608,24573714,24433163,365339456,-1039234216,-55449579,365043337,364910217,544522795,-1957592349,25290952,-1954188712,-1072264248,1950958101,-56104957,365043337,364910217,365837955,-1962445824,-401227234,-761135824,1958742805,-1006239438,-45094891,364054214,-1323922943,-1038185707,-770798827,11659285,-1910615977,-401323234,1495267961,-1308040357,-1073283328,-1578702059,-1073015344,-828174476,-48764907,365430471,-504889344,364421628,340330027,365561347,365696651,-1962880381,-1237414966,1161504277,1293624848,638087698,638600585,-1961732727,-384451058,-538313122,197692414,758871242,-628948991,24573696,-754692470,-389510168,451148763,1912650472,-1237414947,365601045,272992550,638962849,856835465,-4537399,18147343,17909446,-617357333,408782630,-713762037,-352256024,-1974250773,-1057094842,-1037377398,1989005707,47378,49617896,13992648,745785915,994296970,1273853179,365043337,-1957506773,23525313,364394123,-1197226493,727341077,-1071775270,300440341,-1008825600,-517289429,646499582,-896854607,-1974350101,1246364750,-754261293,1493849603,-2097509437,58064701,-1190672509,1166671873,206932768,-355344176,-494217008,11982474,1379205059,-1014279343,994300811,696126558,2130706749,-4564183,6088719,1522608984,54658191,56003266,-146669386,734563298,1997912590,-104254718,-194058045,2118650996,1709741001,-1828489996,-746077973,-2115452277,-489124876,268417715,-957057048,1526796614,1172855385,-2029744140,1979649019,-1237414965,1569269269,-768359656,1962160104,-389575688,-130157488,1926793999,501793773,-117472780,-1946782961,-386667553,963835016,1962934146,360620349,373655846,1053094795,-4713399,-1459209728,-1425443563,-1414807298,-1441427040,-33536374,-1180390720,-1510801403,179945523,-1532628224,1170679491,-1325400554,-1993948161,1053038173,-1070394295,82740138,548971941,244000,866823155,702912,-1012225037,-1946843672,1389327098,373656350,2124619534,-198383595,-2115412217,-200873729,-546111568,639747971,200101259,-1190955575,-1070399360,-8203725,1175745791,38046534,-1387204105,-770969097,1074033754,-1421737611,-1330986357,1090093824,-2010732173,-1993424091,773081366,340467340,-1899459389,1529777112,-173086700,-1978507635,-1057094842,1242322571,17909446,-989770101,-1995068618,1418265180,72124678,-1022473076,1260293166,-1899459564,1225181144,-1593802732,1537414237,341156116,460645386,-774337640,1571785699,1443284500,378208276,1371214931,112916,-1963491096,-1256962546,341687808,-1957277267,-167122712,-186492578,780873411,1183454299,-186072320,558205437,-2094836344,1933577853,611682544,-1962887485,-1608577318,-667282362,-472780173,341677963,341513865,-1899459389,-1242395712,-1073042176,-594873740,-1019544182,948045174,-1979550707,1255181021,339583022,339714606,343654230,-41228918,1827206538,1954495490,1946696758,1947024434,1946827845,1947745381,1947941990,1946172514,1945254432,-956388845,167864040,986936804,1188000763,-890517506,1994917808,-339481855,36563025,-1089687209,-1359871995,-773223585,-1493225755,-391507915,-2007039668,-956366987,-611531380,-577846386,-1978369090,-1012599858,837291440,-385175551,-202899156,-1333531649,19064924,-1513378,339714094,-385766168,-167051426,1323831668,92939776,124985404,292817212,167789544,168261092,-33327873,1307135695,-45131777,548458122,-486034605,158772750,25002534,-32934903,787669707,339680810,-889004502,-66592384,-948674725,-503314456,-20911109,145772494,-1342130200,11724832,-1377236816,-385830912,-880083165,132894506,-352309016,-1274957566,1962031616,1962621455,-391468021,-939655049,-337459458,989781993,-17206021,-706132281,518398,-117247741,-385954839,-880148169,393531178,102003785,-1957230818,-1359853570,125110111,-889007626,1573113642,-1325488151,4646976,503732063,536803816,-561357305,-151054615,-24188460,-1461118288,-1257324802,1309682447,806360847,-384845296,-552615921,-988822257,1931492367,1946762257,1588613133,1476397032,48971788,540852874,2134670706,-30538380,1343503622,1476402664,1610615194,116796928,1962873920,826001,1019412576,1008038928,-1022266365,1610613658,1022915584,-1695779565,6291462,1610614426,1947220992,1963146289,2107649762,1946827797,1963539460,-396578808,1810431908,-1909523714,773172502,363538059,1515805528,526212958,-383529721,-2144407749,18104374,1019461682,1008759821,1009087496,773747977,202653088,1373173496,11913354,548407267,-486580248,784554489,339543750,-10491648,1024392750,-11015916,1610613658,1946202112,-1006695195,1342179048,1493121000,-9377597,-1966867596,1979661506,236047,11534432,110817396,-1023385600,1610615194,-1031093504,-12785584,825944,-1950154656,607956210,-35063692,787934206,1948531884,-17635091,11728363,108314634,1946183656,11554555,1914715266,24936983,-401509062,1076625492,976095094,1981040134,1191162370,571818,-2113922072,24456764,244038,771756008,363536069,856192905,-1968460864,568902594,1008301056,1008039456,-1341754070,-1426896577,1060940353,-897580171,1189339649,-1426906960,615301966,1918975103,2004499462,1008741378,1022260256,1021998141,1021735980,1021473851,1021211694,1020949562,1020687394,1020425259,1020163119,1019901019,1019638877,-617364727,-661994610,-472783919,639076646,-1023254644,-986791282,-1911182538,-164424612,-2135294325,866513664,-1898344759,8961730,-1526723905,782607781,340594315,34507046,-2117457152,1980760057,268417283,721423547,-773729831,-773729823,-1982165279,-1996487154,-956299234,-855638010,84330016,-775710208,-773336601,-773336601,-773336601,1381090279,1435731,-1587979685,-523234238,-523181872,-523116336,339805706,-855591741,1958742554,1090913015,339845652,1117839498,318356244,1994402519,1093044451,339910676,1117962494,1980513300,1107740371,1134559508,-1564410348,52696131,41229488,-73219842,471843602,505355807,522067743,521019166,-1577080088,512431171,918885441,1552487851,129762566,839140489,-5192768,129821057,-108791950,183662455,183399670,-2098563886,-445182722,-25026802,-2113047294,-646504966,-1040838030,-1022528509,-105134454,-1036331246,-210567248,11817298,-396879155,110100357,-1070459839,-400617789,-1047789757,-489563509,-489565743,-754724399,-1181564653,-235411189,-1070344053,-745803273,-150943559,1694139121,-360578190,-628427420,11718865,1018811089,-1963854080,-2030962950,-1422473788,106727701,839140489,-5192768,1931017602,1022984952,-24972429,-2098302148,-378313478,-436847440,-1056767819,-1961398087,-1948125222,-161173304,-2084043801,11993298,-763114749,-1148087808,-470292213,-141374841,-2084502557,-1148059438,-201981947,11913354,-1835481974,-796134409,449642932,1355006002,1277185618,1093751888,1126193237,1127304527,1310740047,52448341,33620224,33554434,553779712,131072,1292463104,1048582,85578754,-738197503,-738197221,-434383845,1644519965,1644519941,1644519941,1644519941,1644519941,1644519941,1644519941,1667855201,1868832865,2036689774,1935761966,-1293353971,-50672643,234991080,-1574523897,1572541510,376618772,-1958770394,641942511,-1441369952,-259303763,-796152915,1325808422,637826580,-1407955037,1957349630,-989947895,-92931888,-1515535222,-1031035484,-388823631,642304139,856180227,-1410205742,1435857,1906517504],2,[28353814,1375732154,1510021864,242532922,-225786310,-277491574,206503718,648733931,638019318,-1425717757,172360486,172394790,637599720,-1207153015,648675583,638469770,50423543,-1608098056,-1057089936,376480294,1174813222,-385649900,648937306,340729483,51893432,1369646787,-83667180,-947782909,78709105,-276041773,-661733325,-2134916978,1161216,-959935317,-369049594,1577159,-1012727779,1329903872,1497713486,1094852640,9175123,113704988,1835152,-1426057800,-1426038600,113748907,-268435304,-637121126,65539,154801152,1842080,65536,458758,-523042809,234881024,8388608,0,378077440,521011338,378078990,-1587675133,-523168689,1946247685,341688101,16781241,-498645243,-1093760006,-836037006,-33294197,125353995,66650953,-369278479,2045378168,1727407870,1174611463,100869637,723916401,-654898106,72256038,-1958680365,-796180280,-1038882095,24546086,860407299,-1007224878,-617392610,-2134916210,-1105261051,2025395826,-1079708928,525534594,1442860222,-218102599,96952228,1569260928,-1021354494,514,16777218,4194816,-18153465,-234360832,228596048,-214583296,-205520896,241172487,251662080,2159306,117899292,407830528,-1207959488,-268372100,51048979,0,251985927,257558538,15798106,-230293408,0,34209796,276382546,6750385,521018960,-1559918943,-2002714504,8037125,-895657953,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-268435456,4194481,-272170940,-272170944,-272170944,-272170944,395837508,-268370197,4196360,4259839,-268374419,455298,537264128,-328138688,466878464,334292,537264224,76814804,-234749856,72286721,65929473,11600129,95159885,17105073,433324033,87301076,114229248,154599424,6751788,1230192962,538984771,5066563,0,0,0,11404036,16256,542396993,538976288,5456194,0,0,0,13501188,1920,1347240275,542328140,5456194,0,0,0,13763332,2432,1414680397,1162297671,5456194,0,0,0,14091012,6272,1330401091,1380008530,5456194,0,0,0,14942980,1536,541545794,538976288,5456194,0,0,0,15139588,640,1162625347,1380009038,5456194,0,0,0,15270660,3840,1230198093,538976323,5456194,0,0,0,15794948,4224,1263423300,538990917,5456194,0,0,0,16384772,3584,1163217986,538976288,5456194,0,0,0,16843524,1152,1330468168,538976338,5456194,0,0,0,17040132,640,542134096,538976288,5456194,0,0,0,17171204,768,1414680390,538976345,5456194,0,0,0,17302276,768,1145979204,538976345,5456194,0,0,0,17433348,640,1129464141,538976328,5456194,0,0,0,17564420,768,1380013139,538976339,5456194,0,0,0,17695492,768,137632193,673221118,1126979651,686434649,266950723,1497574414,690753513,623985452,1041884416,545914376,-380091608,1126960911,686434649,266950723,1497574428,690753513,624050988,1209663744,1479623432,978863079,-413585085,1127897411,1139234866,252701016,1377445120,1344307720,-870311961,-819982048,974318112,-334305446,1357714216,827996713,1525289703,1545226752,545848840,1479623464,1496400684,826485801,-1996604891,1479689000,1496400684,843263017,443482149,-1996617626,826550304,826551384,1143744857,-29743823,843327624,826551384,1143744857,-1711266510,1124626458,1139234865,828042072,1496400954,1525373415,843266609,843310936,472443224,1139409187,-349611982,449773658,826542202,1480910680,976313067,-413585085,-380030653,-358936792,693711171,1144675051,1156012082,686381106,-369023460,693645892,-201303317,-32996326,1126703240,1126979633,740907313,975515971,1126729982,1126979634,740907313,2437699,143530777,673220862,743977284,693711172,623985708,680066618,743977540,693711172,624051244,-1743049728,253805576,-1996494555,751308779,8600085,144841534,-413589374,550248466,973590556,457834627,985663660,68034697,460259334,1297287350,-380808217,550124050,420424728,572559674,1802399556,1814067557,1936028527,-2130697695,-2113355749,317151520,471911456,-2093349912,-904164096,-1992638456,100929056,436207616,693711130,624051244,-1743049728,253805576,131072,33554688,458816,50397498,-65792,4195327,134213637,-1610022784,12585728,251715597,537985280,22019841,385966101,-266796672,29367295,-16654307,-266272241,-1039361,-16621531,-265747825,46148607,-4051,-265158657,54539263,-16555979,-1606876273,62929667,1057218621,541131776,72351492,1191469125,-1605827456,79710980,1325719629,542180608,88101637,1459970133,-1604778624,96492293,1594220637,543229440,104882950,1728471141,-1603729792,113273606,1862721645,544278272,121664263,1996972149,-1602680960,130054919,2131222653,545327104,138445576,-2029494139,-1601632128,146836232,-1895243635,546375936,155226889,-1760993131,-1600520208,163617545,-1626742627,547424768,172008202,-1492492123,-1599534464,180398858,-1342181203,548473600,188789515,-1223991115,-1598485632,197180171,-1089740611,549522432,205570828,-955490107,-1597436800,213961484,-805310259,-254735104,222352383,-15900459,-1596387953,230742797,-552738595,551620096,-990450,-15834907,-1342239089,247524110,-284237587,805244672,255914767,-149987083,-252113024,264305663,-15736579,805244928,-982256,134213893,-251002895,-979969,268431629,-250478607,-977921,387018751,-1342238335,297868049,536867101,-249490943,306258943,671084837,-1591143807,314649362,-15539923,15,0,0,0,0,0,0,0,0,0,0,0,0,0,65536,16777218,4194816,20578311,-16776447,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-922746880,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,874512384,825499717,541340704,1111755040,573323017,1095648594,220349773,538976266,892608544,538976288,538976288,538976288,538976288,805965088,540557624,807416632,538976309,538976288,538976288,153100320,1376343876,1296125509,805965125,541147448,874526256,842342453,540095520,874525493,153100341,906576452,1380262444,574968641,1575553549,3,-1899459584,-1127182632,-386203392,431227268,-796253747,567086516,567086772,70518518,-1172605697,162792412,28844493,606194956,1951284319,1968782345,872859370,-930349052,-1127182598,-1896152832,21424344,989932520,1946443286,-100219370,-756547325,18540544,73274939,216532340,-957158655,260614,-1090452546,109971794,-1510210468,1513029541,264405764,-355269455,51773742,-1900006655,156869153,-1979096928,268443853,-722429440,16839357,1835697,177,0,0,0,0,436207616,211747505,9437184,33554450,45154993,16777819,689,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,153354240,721420977,45157890,67110877,156631303,45154816,17043290,-230289574,-150774295,-1945980670,-1898410296,16825552,25487611,567089588,229953674,246686157,116793805,1962869812,64797211,567085492,-854851144,1012868129,1007252558,-957713063,275462,-1896167284,16825552,-388460805,736624966,1578515201,-971607036,17037830,-402599192,372965658,91489374,-352252696,-100219150,62783491,156417793,73139854,-5921284,-2096866770,78712770,19851987,855704342,-2584896,-83853266,1377766942,1509984488,681722116,-2134575613,163470965,29685251,247333748,446934275,480488707,-1605373,218071808,213844854,-1212314880,-1260943614,-1172189943,567083795,66731650,-1170639616,162792236,28844493,-400438004,537657401,1765540020,-989983628,108294716,1631372542,-997532299,-819996789,-1274854470,-1172189943,567083809,-820051280,-1274838854,-1205744375,567086087,-1157686807,-1269824727,1478610185,1545506499,16824836,567089844,901390094,-854608892,1958742561,58767886,567085492,-854849608,-941954271,-855353850,1476839172,-956301308,17056518,131119360,-1274792518,169987367,-1162251072,-789904544,512634620,12452956,131119361,-768349743,-489684051,-1021374725,-1207876422,567092514,-1207892038,567092515,-1342071878,-1172189916,665846151,-977067571,-587017470,-419241470,67303426,1769101059,1881171316,1702129522,1311011939,1914729583,2036621669,1952531492,1699947617,1394895717,1869898597,1869488242,1868963956,610561653,1953067607,1634082917,611609717,1802725700,1634038308,1920410724,539260009,1869771365,1920409714,1852404841,1919164519,543520361,604638529,1919902273,1377840244,2037544037,1732845612,1701998446,220471359,1818838538,1818304613,1633906540,1852795252,1650553888,1646290284,606889057,1850280461,1768710518,1329799268,1312902477,1329802820,1852383309,1769104416,1092642166,1850280461,1953654131,1397703712,1936286752,1852383339,1769104416,1092642166,1851853325,1953701988,1701538162,2037276960,2036689696,1701345056,1701978222,226059361,168633354,1702063689,1679848562,543912809,1752459639,1952539168,1713399907,610626665,1700006413,1852403058,543519841,1668571490,1869226088,1495801954,1059671599,16786464,1330926913,1128618053,5521730,256,0,0,0,0,0,-1,-1,-1,-1,-1,1329791232,1312902477,1329799236,16783693,827136,33752064,419435264,1536,211623168,16777216,785583962,268443853,-986670592,21296057,17236657,689,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1313817600,542721355,1396785696,0,538976256,538976288,538976288,0,0,1868832779,2036689774,1935761966,13],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,-96668183,-150776135,-16310778,-1190955777,-896793693,243911171,857604944,-1982165294,520425486,-164380274,244055691,-201588688,-1899983708,-1949266216,-83874778,-402238744,512428806,-2017066960,-1962868737,-167562466,57999111,-385243927,-389084977,222038129,1894253429,126496264,1975519811,950060014,1208367623,-1274776576,-1156526848,-890765306,317515783,2210554,-300413716,47902,512482190,512296218,512426128,512296220,512426130,512296214,512426092,512296216,512426094,512296210,512426096,512296212,512426098,512295868,512426020,512295870,-81854426,1443782339,1447860926,1458962622,110086997,-1782708480,1592847180,-1698802162,-1017817524,682373575,795423092,690497836,215429533,830606552,592783037,231148787,385161099,486676748,657657428,658057014,656090904,39462686,39584347,42205818,42992261,43319956,43451030,44106396,45286062,46203572,46924482,47776467,47907546,48038620,734,-834059960,29972108,1443025750,1297023940,-1949413555,1234226511,-984857774,1413546129,1385014341,9623361,1279609088,1279886020,8508229,9032773,1224736768,8899660,-2049686189,-1538700544,-1538045180,-1539028219,1296105478,33989,1099486293,-1881911735,-1814478516,1163067392,1397065428,9098309,1163154265,1224770509,-1901836979,0,-822083584,2133067658,1023085547,1022719229,-1963952642,-1654694393,-1979557445,-29314584,-141933631,-1976642678,1958742535,-1639735310,-1976634247,1975859719,-1965389848,-1973855551,73310416,-5193718,1946443426,-1960792051,-29250823,-385649202,-1031141162,-1976695061,-796245241,-108298460,-822197846,-1075248267,2042759688,-381461527,1509623985,1398495577,93644875,738338491,-1967127999,50378184,394997465,2145932123,-1949791739,615263986,-385649281,977471646,-1959299647,1118580466,-495337462,-1406209397,1006984680,-402426834,11535715,2078868338,-225748984,-1073042386,58284633,201327593,-1336870528,-385868546,-1956968355,1118580466,-143015926,-374936766,2101086280,2117867892,-1975315339,1973435399,322627843,58040892,1259557609,1590656688,-1975280289,1921068039,851444438,1508936676,1359717305,-189464786,67561729,-1911132727,244127274,360748310,-988802620,1436553225,208831761,819632,1125275,-1190917958,115869498,69515776,-1962422599,749481714,-1023315071,12048522,-654058749,787647298,1124567212,787647298,1107789996,-2064130581,-63686,1607401845,-1185309345,-11465821,-385402188,-208993380,130974967,24510463,-1654693937,205109593,-826998959,1023132423,1006990590,-820611843,1007127107,-385649267,-1908668200,1793655669,126503689,-1654694193,738691651,-805259903,1372097216,-402435096,-2023881567,968513246,28332556,-1962628958,-1258344717,12780058,1769366852,1428186467,1635148142,1650551913,1124099436,1970105711,1633905006,1852795252,1718968864,544367974,1919252079,2003790950,1936278528,1918312555,543519849,1953460816,1702126437,1766064228,1847618419,1377858671,2036621669,1936278528,1699553387,543254884,1869771333,1681981554,1668178294,1176527973,1970561381,-1308596878,112388425,1019382523,-821988540,1016946270,-368741814,-167770008,-742702292,785418756,172165002,-17271360,-386632246,512490475,-1729494201,-67764216,-997996661,-1308156140,1958742598,1011331592,-1308462078,107407688,132666363,97118221,839829992,139109056,-1576515166,61868107,-1340413208,138453508,-1341636958,138388088,-1594110117,-1073084328,1335888500,1975519747,223340547,1381039055,59697235,1515965323,-389903790,1482302479,-1654694193,1469862490,-964013994,41027900,-397684904,141820428,-16653336,-1845370904,1942678360,-1654694181,-1631287720,1448566361,-1963816367,783897552,-958856448,-1604780025,-16513281,1577477819,1364647559,-81157911,126536587,-349829912,-880018661,1579585768,12295519,-383874816,1583045380,-1946481941,649783499,1587371870,-70560169,-1041708149,1592912678,-2041012897,1515822788,1448566363,-886644248,1632507,1676215154,-401755905,179316434,1579601384,1465818463,-876596650,1963186408,1364443905,82386571,50343609,126507481,-1017444036,1520263006,1465801051,669771862,-1654694197,126507099,1076682532,456925042,1128471411,-1962610503,-29250823,-20958526,-2036336192,-997830460,1038683062,57272581,1486708574,-588529614,1537040222,-1073084534,-883533986,-471268494,-1654694146,1956421208,738691602,1975519788,15919114,1375783912,-1667434083,28491826,-1660792088,-937115622,916586764,446471429,82813632,-385649251,65544340,-390057467,233374269,62777376,-385649981,1600061078,-1548134243,-397717237,108331180,-385867544,2112364688,1346120704,-1712846475,1042432,-400246807,-398393236,-1070465019,-1308331543,-1228918270,32368640,-1560301373,-1070463690,-980752246,-972959768,-543162361,717618692,854553541,87466688,-1654694205,-81876247,-18814896,-385650088,1600060970,652470429,171709554,65736820,-1952620706,-1190860514,-654114774,-437712898,-385649661,-1863713274,-1956723927,-1506870021,1977584470,1007127050,-1023315398,-385869847,-73399276,-33014782,-20382008,-1975270456,1916419079,540852993,141751412,-17485764,-1010237760,-76234742,1869744956,1064640060,167968928,1129366464,738394274,742028060,1007121397,-1977911810,512312071,11993854,512350346,45089538,-1157430878,173539332,126534592,512312131,-1974795522,1021438783,-1950124784,-352125410,-792658282,50438848,45764946,-1965390077,38922472,1515838087,50208393,310104,1019461642,-385650167,809303916,-20906251,10535880,1930378243,1913469977,35556117,1124758787,394937155,-2026403261,15198426,27306475,50045443,309594172,50470539,77799049,50601611,77930121,45845995,17688579,-2041018901,-1017405756,1631324042,2067593586,1596257651,714947,809302643,977073778,1094501365,1530723186,512476149,-1983708357,-1341873378,50045442,512447427,11862794,-654059261,-1014768649,50950714,-385649956,-1017446398,-385815319,717093007,-1107760304,-202682244,-347309635,1196998126,431876587,-1109071073,-538240576,-349414979,500874714,-1514285589,-1110381761,-873782392,-348051267,1089322438,-742538773,-1111692456,-1209319433,-345726531,273792434,1002286571,-1113003164,-1544859860,-349776195,641645982,482187755,-1114313961,-1880398780,-350049603,582335882,-71465493,-1115624695,216610858,521977336,-1107818775,15281061,746110456,-1107821847,-186041969,435731959,-1107824919,-387368287,127385079,-1107827991,-588702845,1687731703,-1107831063,-790034522,607501815,-1107834135,-991351548,682016247,-1107837207,-1192687703,174570999,-1107840279,-1394012071,146193911,-1107843351,-1595331340,930004471,-1107846423,-1796659526,642760183,-1107849495,-1997988993,946322935,-1107852567,2095646612,127581687,-1107855639,1894327884,745651703,-1107858711,1693021248,1422966263,-1107861783,1491677142,129154551,-1107864855,1290340259,388480503,-1107867927,1089016112,1691270647,-1107870999,887687054,1892204023,-1107874071,686366495,655801847,-1107877143,485036379,1699790327,-1107880215,283715006,1695137271,-1107883287,82387559,345554423,-1107886359,-118943637,1689370102,-1107889431,-320272465,128761334,-1107892503,-521579801,639942134,-1107895575,-722910871,946519542,-1107898647,-924236966,1190772214,-1107901719,-1125562712,520797686,-1107904791,-1326889093,1675804150,-1107907863,-1528208068,1234877942,-1107910935,-1729534838,1672330742,-1107914007,-1930859695,1806548470,-1107917079,-2132188111,1665252854,-1107920151,1961452328,1208466934,-1107923223,1760118631,1253359094,-1107926295,1558789907,1058455030,-1107929367,1357453783,1228127734,-1107932439,1156139121,1214365174,-1107935511,954812463,1213185526,-352963863,-167768344,966634,284027638,-253037056,-352976880,-167767554,1399274,349825782,-672467456,-352976827,-167756103,2018026,518974198,-756353536,-352976834,-167755443,6622442,646834934,1860892160,-352976889,-167769901,2045418,127003382,-655690240,-352976889,-167763993,2555882,754903798,-1091897856,-352976889,-167769128,868330,689433334,1072363008,-352976833,-167770208,4185578,433449718,-487918080,-352976811,-167749894,-382919235,935196052,-175183571,-382881603,951973256,-175970041,-385195331,767423868,-176756470,-379312451,992802160,1577530530,1443817662,1005127562,1971666175,-2048371958,-1573180165,1583023924,1443817662,686360458,-326370305,441985,292828073,208996156,-397323696,1515783003,-106108584,116805839,1979647796,872859159,1520500487,688273920,-32934912,5743296,-108205736,232647512,1263583282,1023094760,1007187008,1006925007,1476687144,1477356521,-400737047,-387450124,-397148785,260766995,1912732032,28805960,-388396544,-192282558,-402641944,-729153478,-402643992,1824063538,1960512007,-161173495,-389510172,-997588958,-939327308,567094196,292929546,-620051621,-872543372,1949252780,1949121559,-53221101,1912606440,-387937544,74579975,-527824171,180587203,-1963363109,1915759620,-183878413,-872485262,652788550,-1336720635,-64624630,-852839342,-964011231,-1342165784,3401773,585679498,-399659008,-377421783,-109050004,1913894244,1693024261,-980761090,-1979709208,256193,-721538327,230983178,48771120,-2000385536,-389856505,-387450336,-397148997,260766783,1912732032,28805939,-388396544,-326434962,-402646552,-863305882,-402648600,-192217250,766771378,-1073077811,-1017442699,125098762,1017957374,-1023314630,-386132759,1396901005,-1930950480,750015227,-92266035,-32214478,1023312070,11930994,-109002242,-1325108676,1539702272,2062075274,-398806785,-1047855231,-1325436696,-8918982,1726531210,-40506881,-384935238,-633270251,249184782,1141824067,-633008422,249185806,1292819015,-1144123465,246402830,-737239088,-2050224491,530798606,-2142211328,1265844730,1198838282,138417800,553287875,378027378,1942161471,-2134297802,796082682,242536970,1929417705,133857318,378020211,1942161470,180521498,1010922688,-1743752363,-166940088,-1963947278,46202564,-382604352,-377423031,-389479872,326373397,292823868,225717052,91499836,-351262744,-20316670,-1144943927,-684847134,-747061238,138294922,1084248656,138519048,1947198696,271116304,1933703808,1959922362,1091995652,-1739040248,-619980661,-1959915916,-1324355681,-741463546,13861867,378194827,1067452481,1373828616,45795467,570472448,190444023,1364686016,261875792,775690356,-1185410699,-503906301,-355342127,-394997237,-386223895,1498943396,863291659,138559104,1345090561,1108249169,244488,1946352000,506627,-388766729,24494091,250108224,243947520,-388822974,-1072969421,-1950154379,10938832,-386241303,28380983,494160956,1396490750,-1040312460,292834876,1178388786,-906099084,-596295108,138612360,1108248771,336773896,50272278,168297988,269356287,1393580562,1913805585,-736847341,-2145968107,-2145782504,-568515813,52476190,-352288582,-83498935,1915091587,-840412613,1760046327,518542330,78035963,1979647990,-379954427,1065354302,-2145553519,1065354503,-955485551,2147483527,-41433200,-390856449,-745801365,116087131,-369505047,-1746394159,-226077952,1976109906,-352144124,1227276,-147530568,-2033677327,512446953,-1886713785,-1947729920,1003779107,1946157711,-94873099,-1977406488],4,[589752516,568902027,-389772765,116794140,1962870851,1711732488,1979711232,-1070397884,331006094,378086932,-1943666656,117449230,-1207942982,-1964111872,116846276,1979646053,4438541,-1158760784,216793185,954789379,4372992,-289109266,6688393,6620870,-1017382144,138610422,1394439679,138878603,165879,-126484481,1711732571,1962934016,1694942727,-236192000,579135683,2145970314,-389510622,-527818118,-400394775,71104889,-286719118,1662946040,1958742528,1959329298,807307790,1959329287,824084998,-20382201,-123737917,470192067,250134023,1965243478,-93525757,-386325784,57996952,-386242839,-963970553,-1073032970,-1494678663,1389398776,754345960,1526219496,-2046494080,1342927840,-489663917,-380627788,-10552768,1342643254,721137747,-1260334906,307870464,-1959864317,1358599,-1959864317,-520135929,-225815557,1946161128,1949973513,452623,-1973684359,126537686,-1010106813,-1037384054,37538046,87878770,1381623923,306166611,-930418293,-1974015862,1643937828,-58718094,-2147257477,-1976688404,977683207,-32016956,786724297,-1073084534,1532693625,-1654694310,173430622,-1073034304,-1976637064,-1073069305,-846530439,126496350,-1166688246,1515904651,1137694346,-80655025,843927363,1414548730,1347221809,1291334228,-147631024,1211314688,1949523507,-80508365,-1484107693,-58720210,-1274907139,-134446855,-58718862,1476621052,-72298661,-1073560534,614662324,307870471,-1959864317,12016391,-1959864317,48782087,1591803648,470191967,-419455737,-1190635077,130416698,-85835008,139988616,126548675,17564708,126355258,69469300,-1006944139,-972584198,166395911,1342671610,126353932,1946498136,-87819462,86247306,126355258,-1006955147,-1475900678,202404867,1946630660,-1475901430,872707330,-83659771,117373635,-1006958504,604474106,-2012792317,-1609927673,19662936,1487012722,1405352712,3022475,1960512323,140163865,-1979706439,1943588871,1926811656,1926811652,63144711,-1017385502,26708817,1506937600,1397944180,-385894936,78774134,1509278440,-998024358,922702600,-1269759954,-628404083,54730377,-386388503,133562372,1522254593,-167529464,-1009253404,1381191931,-1898826978,270438106,773753605,-620018944,1622821492,993848320,992756338,527567420,946998588,179363978,-1057090188,1947270272,-2134835698,125047548,-58670850,69039381,-5773309,401086068,-1964227841,-293597984,-1158757238,548405280,32242158,1532633080,-855477672,1358680047,-768388578,512678542,1810367760,-1564462592,-922877846,1509973666,1355765791,-768401838,512678542,116851984,-65434,251595124,57999462,-33547288,-2146941938,520635430,1511982709,-806302376,-1342168902,1512042016,1398198104,1193184081,42465032,1962934016,-54663118,-301972806,-1980840822,-973052402,25862,-1017226407,-967748778,25862,138747531,364427,497547,138878603,-165719064,-16751354,1639590517,-64689152,-1070391570,512481422,-1980103744,-1962926050,-1996242402,520102430,-301973318,1711720430,-83886080,-1017226407,508974933,-628174285,84942478,3409654,-402426625,116785167,1962868805,5695491,1566531103,1381061583,281871540,1961101904,975079692,1009682432,1058441472,916477952,1959014912,-1998321107,1946170918,924748069,959350784,1024887040,-402477056,225771101,-134361624,-16776825,-352160513,889636357,1499135744,1364443995,-167754053,91619079,250089653,133579520,-1257933313,256064,1405311833,167779304,-1340902199,285048849,-1057095052,1962808552,-41621499,-2007250638,-1168981233,585892353,-1731658043,-1017459574,-1324436141,1959345155,-29605082,126487669,11600565,393515068,-12823829,126504565,1006633657,-1256098656,1007792386,1362982306,1493191400,-109000450,1007056145,839021569,1942305472,1273530930,-230496175,-1913512984,200606952,-402098990,-779356538,1478194011,-389807533,-1992032868,-1017226473,-390177189,126506510,-369770263,-1830161367,-233903884,686942184,1358152424,703717352,78758744,-386723096,1398404289,3028735,1359501753,-1185903180,-380563736,512357768,-4848837,-1946802200,1159629283,1972190211,133585707,-402426879,1532624029,512480135,-397737157,125104572,1443817662,-1980411159,-2030031346,195280602,-196351658,-1779891278,1948794101,-221059068,-7804733,175423498,238864638,61959539,126499563,-243079088,-1791208616,-1875112588,-583266700,-859875211,-1089934574,65737401,-1189948225,1464926222,-1056832592,-1161901826,-380152298,1499462856,-1017385758,1347497866,1978746856,1398364201,-1310146302,-570588932,-41939084,-2146470768,309695997,1543231208,-68884285,-404176037,-373072901,568980273,1965571317,-16455431,37538046,11660659,614578923,1958742791,79756802,-60299264,-672660620,-2098674693,-252778245,-1312804269,-6756350,-1874886565,-571996299,1860787952,99175412,-77338379,1022414824,-398166744,173276858,-33131328,1929526472,296833182,1493133800,-1791000485,-466482315,50349758,-349927184,-583040994,-1336733067,-66590703,1968960395,59045383,125042944,1592822760,1274289385,-386615063,1381102553,-1594634520,-796260618,-260904885,1239943028,619195632,-389903630,57871026,1525839081,283661145,144238597,-402652742,393478424,19261523,-2015755430,-390057254,28311797,-1342115608,1529539457,472967363,1256784757,137469980,259309578,137502347,807308115,512447240,1515391028,-1047897255,-1979199768,138191557,-814432254,-402295982,65734599,1510467560,-1108811406,853308416,137470656,-1979660568,183995091,1260287168,46631499,-1995017536,-402115562,512296843,815925298,138190856,832753910,975080200,-2015755512,6285530,137174667,-402116704,512427887,378210360,-634714054,544360052,1709759111,171799552,-2014874432,756976602,137338888,1017170058,-387413496,-756350912,1263262711,-1073559670,1396906610,1258784232,-126493941,137863258,141869066,-167232352,1304784,-1593891095,-930478026,168310688,-1023314495,-1979171680,117303528,-2023831414,1381062366,-385699501,938012751,941000970,975079688,-1965356280,137863873,114944195,512446547,799017005,114681864,512318296,799148077,166127624,-1047864565,-1022871902,-386770712,-399708456,-2024541693,924748250,-268703739,-1175314200,-205881291,-232134652,-1980622104,839393822,136880832,1527260834,-1309531416,47617,1375855592,-4554575,31123711,1457424222,-628637646,74701371,-628635394,-1995954270,-1995956202,1527258654,-291575733,-397212043,619382655,753823720,1408305896,-386809624,141885960,648200446,-238295032,-1979406661,-2012740601,-240261113,136584841,-1996488518,-1962403818,50673438,442296539,1994982261,-792557030,1377202904,-338607277,-387264190,1532624963,57858619,-2013394711,-1949594662,1124603934,-637281789,-1073559670,-2024665486,64588762,-628667429,1514789419,135798409,-347940469,283660980,648043265,1975519752,-628636927,437684675,12276488,471763200,-1972216,136912521,1406830427,-1979722008,1510484758,585685751,-1957539072,-1995955682,-1962402786,721951254,438208986,689867528,-1982073080,1510484254,-1327827109,1381191684,378229331,512428060,-620558302,512350723,512428060,-637335526,512481927,-633665504,175316596,136191627,192207419,664806259,1975519752,-1608389849,-1073608664,132849267,-804771680,1511355352,5957723,-352303896,136814619,74760202,283859802,1172855642,101312512,-1813510541,91547653,-27763878,-1023314488,689343314,-1982138616,-2029508322,-1957471526,-2029507810,723421658,1541076744,-1946195223,-1996145378,-1962592482,-1996145890,-385533666,-1957498741,50674966,1523289050,87760523,-628631037,605981635,180587016,168261056,-2014218809,-466435110,-225778953,-1979678715,-397687852,-109777696,753711080,-244044740,-280106927,1457424222,-268441517,77970265,-1073084534,233374584,-2004933632,136887047,-1056307318,582551432,-108807554,-386928920,57999396,-387009303,512487674,-620558302,-620504317,-387080984,1515843521,-386937112,-2024083521,12174298,47745,-17843992,1369621448,-957853688,18999535,1958742616,8644867,-353616920,1793610321,17688815,-397190822,57929695,1139789544,117251721,1945095400,-272898045,-81884861,75032582,16050267,1381061203,-1962596888,-1157170410,-637337600,-92944130,129682315,-2015755520,-773140006,-1947545110,1359412510,787008395,79387119,1524237056,-628631037,1943681883,-301471485,1125091419,-1958531192,-1996030698,172180247,1400302528,1526996456,1375771112,-338499509,477365685,753641448,29088391,121253405,-28636812,-2013891123,-2017240358,-340596518,-980759042,1457424222,1125616464,-2024582589,77129946,-889270134,82379637,-336867072,378227701,-637336265,-880078734,1125616475,-1957473725,1241856286,57924099,-2014476055,619207642,1482250752,1676169977,-1605215740,-1073084335,-1276639883,-402396412,1239942438,189422083,1541895634,-118991933,-385650173,-1017385643,753604584,966918576,-312875005,1122567028,54108909,-2015786157,1406796762,44888459,-1210545472,-654098176,1532615303,-940642365,230355142,-1564462563,1659439178,490460417,-870498876,1154620738,492653853,-971157051,1472666957,491505693,1109262785,-212984329,530798621,-752983357,-150987251,47578,-621328405,12241547,-146871552,-339047462,-137721032,-147657766,-339047462,26339574,725352629,758908532,-973208972,-397359734,-1226309208,2028491265,1949056001,-324802301,1493281000,1975519832,10283078,-388920494,-628686698,139173978,678680784,-397192624,-880147629,1398463111,1493214952,-628665765,50331835,1976434394,-1796713478,-637314304,1490745178,74701008,-621290505,-1594020888,-1073608630,1364199794,-49551278,39344474,-1995803968,-1962591466,1025411545,-1564462587,-1329395638,-1341985984,139115392,126355210,-1979026493,1929657538,139174404,-385649981,-963974127,57982986,-1964242711,1975519938,-335550205,-1022867038,168315296,-1141345088,-637337600,-92944130,-963978617,1939652610,-355382783,1939729105,214338270,1123060416,46566083,-1157205056,-145547334,-373191974,-1452016463,954778250,-385649918,-1983648843,-402108650,-1168905197,1347551232,-387214616,-1974342487,-1571270458,190515278,-385649189,512295046,1592264780,48985088,-1949791552,772296478,-1073608822,1994982261,1958820587,1128481541,-1766199829,-1976676066,46696967,170423232,-1965502272,-397192760,28966953,-385649408,-454557679,-385650176,1307049990,99350784,167785448,1129929664,-14709970,256227,1405334132,-1979167045,1958742535,-1961886185,-1979167714,512312071,540805196,1614603892,539755122,-1152138405,134088782,139206283,1277069643,-389850360,1027407811,725379188,758969716,-1162213771,-336899553,-1258291014,1949056004,1950039249,1933196509,1915763913,-1965389115,64685054,64619483,-1976554277,50378448,-388331558,-1166737527,-780808706,2028477931,33012479,-399985326,259129403,1118501515,175389500,-16817432,-370051635,-379852147,-639046683,-341186305,-389817721,1319174096,1277070088,-561553912,45174870,-370577688,-621281598,1916878019,-178570237,-216101949,116760582,-216102461,116761094,-216101949,1358660358,-1007090061,116596363,1914765184,552566792,116596361,-1329364541,-216102625,512475910,-75430157,108150512,512476153,-8386829,-2130087392,-1994411797,-1022954722,-1994340480,-1022954722,243974538,114425941,-930478347,-3997326,-1022954738,12568204,-1949856072,637989662,103942026,102893302,807798517,-1010397689,-355341941,-1311077473,65196802,-754667053,74686178,536920705,116594313,-896871029,5572342,-1340836863,-1329061369,-1561800064,61933301,369224403,-1329395981,46670339],5,[-759123767,116761320,-355269967,116594177,1929657539,1426519567,208929024,-654966492,-133761374,-378803773,-503949903,-133761374,5611715,-311115766,611904778,-1476230981,-788368127,-1614070805,-1958018190,2029390539,-923107060,-1174113792,-1631387449,-1009634365,-341849805,14007272,-167693382,16798982,-338623116,-1009646781,-1023388256,139730569,117116553,-1600137078,-13498635,74637520,-118765570,139607688,839742366,786105343,557424523,139861641,1327585987,1159807777,-165584607,87172816,807847202,-154974459,-154858795,85993173,-987577529,1191512102,650453699,-1018755792,14018566,-511649290,1961462279,652489238,1246168458,-788975240,1976434396,583586550,-1948480800,132284906,-772943616,653119981,1296500106,48765304,854911744,180933604,-1979414333,-758954276,-1966857528,-2044400680,-754993967,-753428,326421130,-259341278,-388775886,-963970934,184537320,172913919,-2008386359,1173046812,6154246,-304939083,-175445365,-305009199,225766865,-1258275352,-126530049,1946673792,-1194686934,-321716480,-896871178,-125114157,-688460766,468250122,1962871296,-1964013048,1444347843,1412860168,-2134702328,-292880394,-336858252,-740019540,-1966929208,1445396444,-82408696,-1207910650,1049347982,915080947,243927124,-617412526,-1006834382,116797066,-1560396056,780666941,-1966930186,583152327,-1978960699,583414471,853019333,-1966867976,-771730162,642216901,384318856,642752256,-1013039734,5574282,846450130,1195214886,-146961882,1962938311,-1312322779,-1963750652,619238396,266829839,-955061040,37871243,1914256577,1947806722,1942039044,-1077676550,-946948096,116604555,116731530,138221194,116799114,-1977165006,-1123630275,-555155457,-1964489217,-402296065,-177012879,654284264,1049181576,780666611,-880146699,-1022894709,-387282170,1391001529,1292727039,1944586100,871592959,602625517,137182857,137309832,-336776363,-13375483,-398128781,-176947370,-1979761432,-2012810434,1510405422,-1975678938,131959755,-1564462397,1721893989,-1173911036,-1036386115,1705116789,-397720828,48817312,12276712,1813940480,-397714684,1970594960,753166312,309603388,1407647464,-1981404440,1527016478,-461969333,1307073396,-1447416604,1958885888,-465377250,-465639359,-465901492,-385649332,837288380,-1036374812,1441334132,-1665135896,-402364766,-1712790460,887640552,1364875750,512350603,1088947305,-1978960922,-1982625033,1527015198,57858619,-1645857559,2112422772,773753601,512447232,1128988720,172165002,-385649401,-1958543150,378094359,-102236114,1958742755,1949973734,1979596021,126501643,973114298,1258976450,-387719192,-347347327,-472454947,-1336681612,54108673,1961233128,214272612,854100608,-443815744,966918320,-1979091709,1965571079,1777048844,675022730,-1159134347,-521643035,1976699877,214272541,-1159165312,-1169021817,-1605235967,-259390725,199572713,-385649198,-1974213227,-1144354066,1230185659,1236070795,-126304246,212660619,-1426486400,54108867,675022730,-2023835787,1229543134,1543494888,-481367989,1357448053,1965571327,-482154484,702749672,1089012597,-485299969,-10557140,773753179,1511426816,1478396675,1960459011,260723544,126501699,614252554,1124567167,-1243289368,-1646722304,1373796441,-1962930200,50551326,1511950810,1541048067,-628633621,56368779,-225715653,-1426486356,-1617018209,-260727231,-1020608118,-980758390,-259340518,-645183158,56368777,1544981443,1960459011,1128485669,-1073084534,-2004933476,-1964489977,1125092068,54734730,2019139033,-1377283616,1541048319,512481259,378209112,-633666726,126491764,1346585411,1491362024,91554620,838878440,-1227846976,-338033920,378231261,-633666724,126509428,1129333571,-1964753688,797590287,55793731,1963146457,824084960,260725507,-654114635,-1958487805,990064918,-1177848614,-1974393401,395002631,-1073069245,1405288821,56106635,1918622267,512447477,-633667536,1407939419,1397443403,1541733096,-588774475,-389850140,512484519,-880082084,56104587,56237707,512350763,512427086,512295727,1894253664,1272548324,53419657,168060576,-1961331520,-1962645218,1730055115,-460593148,56237705,56368777,-1327270936,74162689,1705046154,-1962857468,1258303518,-1041645542,-1564462368,1705116779,1478396676,-1949594877,50613790,1511950809,790530819,-628669693,73408139,53419657,-225715653,-1426486356,-1617018209,-260727231,-1982231735,-1962714082,-1962644458,1258303518,58053131,-387648279,57860971,1239668969,-420882037,-470554140,591135153,1371734388,1509956072,125092410,57934908,-387744535,-1976770288,-1982756107,-1023088362,-517543861,58008380,-387899416,-1293360233,-1596945693,-1036385057,1491665779,1392555747,81796747,-637281789,-1975316598,-1393456337,-1017397238,-1330052432,145799428,-498735024,-495065000,53288587,1508007400,-1327188247,61913345,1342681273,1491260136,57804602,-18686743,50045632,-400585917,-1228676441,-373280255,1323829350,-385649913,-29563759,1688339829,-33035516,-385649472,512426106,652738608,1478396171,73703427,57982986,-387987736,1128522292,56106633,853851112,87466688,-1595810328,-1073085333,-1125579916,82813182,58048522,-371033367,485024753,-507451165,-387884055,1860822154,-1897375262,1172851711,-402230048,1172963300,-1564462364,-756546321,-385649914,-1057037291,1860764533,1975582434,-496506621,82386571,50342585,-385351975,1994974201,-514463519,1541996464,1477872389,807308035,1960459008,1124567713,88664146,1408428890,1943961064,-386027461,512427322,635962192,-397190400,512426016,727320324,1501402,-1910580601,-1979494370,401088263,189416197,-370182702,-1014309362,-1979381272,84208071,1407317225,1943943656,94693623,-260702916,-1979343384,93907152,-1813450614,-388462075,-125172338,-1979348504,92596424,1621158026,1959329280,1343654662,-397190397,-1910635150,520587482,-980793021,-277495542,-575346343,1979594216,-509220605,57934892,-2015258391,11779034,529258755,73277065,-1996488517,-1979248098,-1160083513,-628686660,-393553661,126540423,24390716,-397323581,-397352848,-398336260,-397156616,-1645682369,1582913760,-1974018425,-1957473592,-1257827810,-1982266624,-2029579746,1579060186,1943681796,-506599165,-628663717,-1992093816,-1360307433,32178188,82353401,-530388767,-529340334,-561553831,-397323434,797630671,1457424222,-930478198,1134318417,-1073080437,512453748,-633667536,512440691,-633666728,-779472526,512426166,-637336740,512481927,-633666769,-1969397134,-534714175,-2023859877,1364350686,1507886824,-561553830,1129533782,-1659401828,395002715,-1958519975,985762335,-1979550779,-1966789912,57843144,-33547288,1959657157,-1962440178,1111730938,1499067371,1935235417,190467,548455259,-906051074,-91490444,-152354134,1582914461,-2024350073,1359640026,-1192704630,-503715617,-561553831,-346861226,1946434690,-397688063,-1168974324,91488384,-544872367,512447321,-633665767,183042931,11779040,394909955,-1296027069,126370567,-109720834,-1564255653,-1343748328,1946434812,-535303933,784028497,-1965489408,1913207815,-1604626159,-2036398312,-997830460,-385568687,-1212423823,-1948712192,1581400855,-1974018425,1965833223,-551426045,-577050549,-1645673612,-561553695,1976699734,-543954685,1243056459,1364416859,50379451,-2000669991,126370567,50377659,-2027975719,-1152167206,-633667456,-1174047397,736821248,-470302069,-1974282101,-1971379005,1493219024,-544554102,-620496502,1458111347,1943064799,-980794623,57982986,-1981855511,1527190046,-1128574119,-1982266624,-1157164002,-654114765,512350723,1398474518,721453243,995252954,-1979419942,-1596290306,-1073084648,-2135278220,1943681792,1407734533,-1957602560,370576331,337545991,8316935,118759049,-779422326,3663961,118627979,303991107,-634692857,12245771,-1552592128,1405311835,1526734312,-1949594799,-1962470378,-402188770,-628686776,118759049,-779422326,231336793,966967346,1397903623,118625931,50378171,529224665,1541028674,1134499720,1966573726,121217031,242532362,1395368635,683365201,-371653888,1515913763,-1974353063,-1426420985,-1974910397,1975585477,1489197554,1386136710,-1957650607,6416587,1374170228,12303104,-637282045,126393944,716918943,-1965489408,509495,141823292,-963977212,126353428,1515822680,-186006693,719868638,-386436096,-1145372644,64553728,168266458,1499159232,11779011,-1162148885,-1948712192,-1153252585,-654114630,-1950148727,-1382197,-1972142,995809927,512345050,988283707,-556275491,-1041695056,-557192965,1021104105,-385649406,700177925,-1965489408,1958742535,-1393456341,611583036,168266307,1359574464,-404170357,-555001599,120225968,11913354,-1186735869,-654114808,439093130,-1072037588,-1965147415,1121028853,50342331,-1070444071,-68679800,121020417,1007008744,-385649153,-922821063,1290339189,1976106719,-1070441969,-1314194805,1156071952,-573052461,58048766,1507727593,50341819,1125616601,1261930562,1371740040,-1968377461,1121028853,1963080786,754301722,-645180589,-1964434768,2734848,126540035,57982986,1526697448,-1325297176,-755374064,842249817,-1426486336,1976499777,71091192,1962944699,12106499,126540035,-383808949,297524421,-2015821056,77511642,1124075462,-1662516043,1127188701,-2008862840,130433839,-1576488776,-1070464261,-402348126,1539562769,-1631287720,-997810349,-1950054832,-1979389666,1963015175,-612701949,58000444,1493056745,1386136710,-1614050479,-2041527162,2734788,126540291,1968406588,-17569789,-1979187621,1124119823,-1631287720,146428063,-1965423872,-2012398537,67662895,315001568,50825413,1503549657,1527220314,-2008331581,931676951,-2146974141,-2146974141,-561553829,1405848406,50340539,1125616089,509507,121217115,91602954,1526751720,-23861053,-589960869,-1971276463,-91536633,-838974806,-1017514635,512447313,126485737,58000444,-1174545687,-654114774,-1073084534,-1974790028,268321543,-930478294,146397443,-1965489408,1539312135,-1974746279,1958742535,583685,1543095413,-1021661095,82386571,-1963488686,666452691,-1965489408,797590287,260590401,1127188547,834360131,-1311112448,130433920,1976172032,1632504,-402180704,-1073085480,41222320,-2007269200,126372615,-1017462774,-1152167343,-637337550,447863431,1540447976,-389850790,-93126818,-168224196,1397879925,82386571,50342329,509657,509507,-1017553927,1406909160,-1965343000,1975519751,-618403581,394937244,-1975547325,1020299994,-1978764798,126501647,977062654,-28637068,-1023521854,-889306959,-1047894924,1076682532,456940658,-256288653,-1426486524,1124841025,58313470,-1979697687,1965964295,1501192,-342034019,-1426486294,-822197439,-1070407051,-1660617566,-963984549,578030396,510788412,548467572,1101724043,-353644802,-822163714,548461684,1101724043,-160051458,-1763061525,-10426150,82885203,-1863839823,1975582416,-630068989,-1174072645,213189872,-2001931637,-29211897,1542813133,1104697320,1406686184,1409233384,-1325076294,-798889969,57983230,-1160064279,599459057,-401885947,397531943,-402320710,-1017393081,-397225846,57997103,1524283625,-68660655,1364810494,-389641572,-1986135521,1912814366,180521498,-1156287040,126485753,192225340,1128400838,1128335302,1532168134,-1991194998,1392830750,82885187,-225768271,1107789996,1976172099,-2000669963,1358343,126409219,1124567107,-2008873080,126370567,-398306726,1482423910,138171216,-1293417611,1963080706,-1427615208,-401362686,-1319448645,-810162154,58048766,-337998615,-401624798,-1057042521,1482299765,125110332,1380975280,1356655426,1946434642,-646584061,1523641154,-1426420904,1030994,130472451,130433920,2603776],6,[1,-1070409213,1,-2008873080,1,126370567,1,1527220291,1,71042954,1,138154868,1,20717684,1,1709769588,1,-40048424,1,54206091,1,3389891,1,-2135828221,1,-29151352,1,-369527351,1,512481356,1,-1957493527,1,2276299,1,-628631293,1,1162066,1,-1336682237,1,-32506364,1,1125020935,1,-176830210,1,-967091621,1,568918535,1,126507992,1,1352630052,1,-791672950,1,-1979468477,1,-1949249529,1,1111730938,1,-210383362,1,-791674704,1,1487600267,1,-402426466,1,803733562,1,-396796931,1,11665458,1,1929175528,1,1947876360,1,-339542519,1,-402607373,1,512426014,1,-880081687,1,-1157494842,1,-654114777,1,126402610,1,1124567107,1,-2008868984,1,-675354361,1,82386571,1,582732683,1,-1244069120,1,-33060348,1,1958742543,1,-29113599,1,-1007520307,1,-1897333387,1,-806164263,1,-371658008,1,-277492098,1,-645928877,1,2028476849,1,229724366,1,1489924840,1,246534282,1,1540254440,1,-47388477,1,82885203,1,-401624750,1,-1057042853,1,-1315155366,1,-402426864,1,1520291407,1,820577141,1,19917016,1,1088951217,1,1975737294,1,-256158962,1,509444,1,-401886909,1,1952120959,1,-51320829,1,-56442830,1,-239381756,1,-402083580,1,-105185179,1,-402411260,1,314179677,1,-400903931,1,-256193013,1,-401493756,1,-12792317,1,-454491275,1,85179351,1,126487473,1,-675551165,1,71090570,1,126487413,1,41164860,1,-1427624272,1,1976172247,1,-680531739,1,-259387644,1,973089184,1,-1341820218,1,-678172640,1,619185011,1,82885336,1,-1125641551,1,1979661517,1,-1966908484,1,1965702151,1,1057474297,1,1976172099,1,-1974287368,1,-1595387448,1,1348098509,1,50340283,1,1963458266,1,134103816,1,-29162635,1,1019316743,1,1477997858,1,-646660086,1,58000700,1,1020811497,1,1946267651,1,-1010762036,1,1489223730,1,-126614724,1,-2017214454,1,3926234,1,82386571,1,3455315,1,1273551107,1,-1185199365,1,-654114783,1,585631742,1,447828480,1,-1949482264,1,1124395294,1,347200135,1,181221096,1,-898278464,1,-2135172473,1,-2015755520,1,-1948521510,1,-1190973666,1,-654049494,1,-1301030341,1,-1946891031,1,-1073042190,1,803735157,1,-1426420992,1,1342496672,1,-202250158,1,-645194892,1,-633650342,1,-1252912012,1,-1393390836,1,1963407938,1,-838974712,1,1659499381,1,-27764009,1,-1009223224,1,-400969390,1,-1057043241,1,876004186,27,875967542,1,309131,1,994444426,1,1962936503,1,179800836,1,79137024,1,42991360,1,-1215577344,1,76021766,1,146225990,1,-1962642176,1,-1996485961,1,-16775497,1,-1023409529,1,50798779,1,-1962466274,1,-1752579297,1,-1886846968,1,-1886846972,1,-1886846970,1,-2017001462,1,2,1,1583044803,1,119289599,1,-2041001130,1,1515822788,1,1525738331,1,-336897701,1,6201427,1,360038654,1,3022475,1,54992521,1,-1021130870,1,91537662,1,916635698,1,-1950131451,1,-1962719962,1,-385662178,1,1152571245,1,-2133342231,1,41255162,1,-1950154062,1,-2096830178,1,-2084359229,1,126496451,1,-1312567050,1,-1841152,1,635989424,1,-383874091,1,851673860,1,-383874109,1,797411844,1,780845824,1,-555220894,1,6529279,1,2028537736,1,-2041554689,1,256196,1,-1140885527,1,-397200249,1,1673199755,1,6416640,1,-1564178856,1,-1966931870,1,-402181586,1,815857585,1,-385382393,1,1348009803,1,65586310,1,-11867904,1,1395963067,1,-1157602328,1,887686960,1,-997828608,1,-1022938462,1,120794762,1,-1593867032,1,126355249,1,1493114601,1,-389773744,1,501809155,1,887208959,1,3926099,1,-385404485,1,-2041053177,1,120824516,1,1947024579,1,1393032724,1,1543464680,1,326418686,1,121161982,1,229639794,1,509635,1,1223165834,1,1527220479,1,47811,1,28969195,1,-1174148352,1,1402732546,1,-855591856,1,549778967,1,-990507403,1,-166890236,1,225706436,1,116070578,1,48962482,1,-1175905870,1,1011898582,1,-1341819635,1,-2955254,1,-1013097640,1,12276510,1,605946628,1,-1023410176,1,1375735838,1,1384140743,1,-461353017,1,-13568,4,-1,1,131071,1,15083520,1,73440030,1,67767713,5,0,1,234881025,1,235798528,1,32,1,18350080,1,16777473,1,6168,1,5242880,1,1,1,1799,1,0,1,402653185,1,353769240,1,285348610,1,33686032,1,151650818,1,84281090,1,16909060,1,-1006567167,1,-742011696,8,0,1,973078528,79,0,1,573308928,1,1802399588,1,1647212901,1,218133345,61,0,1,50331648,1,272367616,1,269943309,1,0,1,-1726087168,1,855638798,1,-1738014448,6,0,1,1729114880,1,-149937000,1,1,1,-1593835520,1,3355,1,603979776,1,10165264,2,0,1,270796365,1,0,1,463739792,1,228596644,6,67372036,1,1028,25,0,1,58327040,25,0,1,-1543503872,1,27,12,0,1,129536,7,0,1,100663296,4,0,1,926233376,1,14128,8,0,1,50331648,1,2353,2,0,1,-16777216,1,1852793856,1,544826731,1,1935761952,15,0,1,1677721600,69,0,1,1275068416,1,542397257,2,0,1,1375731712,1,872021,2,0,1,1275068416,1,574898511,2,0,1,1392508928,1,574969409,2,0,1,1124073472,1,223628879,2,0,1,738197504,1,1414548514,1,220346929,1,0,1,1409286144,1,223235922,2,0,1,1409286144,1,1179012946,1,13,1,0,1,1258291200,1,2120005,2,0,1,1392508928,1,1162170947,1,741351502,1,221260848,1,0,1,16711680,1,0,1,16777216,1,49751955,5,0,1,32768,1,2979,4,0,1,1347420160,1,2236927,1,3,1,0,1,208797696,3,0,1,370016256,1,5674,2,0,1,360710144,5,0,1,4437,7,0,1,3201,9,0,1,269029393,1,0,1,376242176,13,0,1,288030720,14,0,1,2013528064,1,196612,1,-1526164736,1,8,19,0,1,154208433,2,0,1,32768,1,-1324830464,1,-1324797688,1,8,31,0,1,-334939904,1,1678452745,1,12,12,0,1,-1408382721,1,1411419907,1,1226859880,1,1344294210,1,1869836901,1,543973742,1,1886220099,1,1919251573,1,1852785696,1,7955819,1,62262774,1,1700143247,1,1869181810,1,774971502,1,673198128,1,1866672451,1,1769109872,1,544499815,1,541934153,1,1886547779,1,943272224,1,237502513,1,546243520,1,1701013836,1,1684370286,1,1952533792,1,1634300517,1,539828332,1,1735357008,1,544039282,1,1886351952,1,2037674597,81,0],7,[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-268370197,50393731,4259839,-268374419,455298,50397184,-328138752,-457768960,197120,50397280,2087461376,0,2087911427,1322987,6291456,1294808864,942504289,49,0,0,0,0,0,0,0,-930285056,12245134,-1127051776,-1577354240,-661750778,12238990,-842888448,-398364141,-76414888,34507566,12276092,-1177406720,29229064,28333568,332202676,1482564210,721479656,-32213818,-1107185211,-969211896,-259324813,1452671467,786295632,2080648959,-1199749954,844135746,2133110015,-1269429388,506638,-346156851,12305392,309504,-855506504,879894035,-661731188,-1191182145,-2144993269,-2144985075,536879245,-1074535865,1992163328,768381,1973875708,2146063,-1182956866,-1494024181,-1021377931,-394462786,11861925,-115403059,1309281731,1395486319,1702130553,1768169581,1864395635,1768169586,1696623475,-227577230,1699875341,1667329136,-1408382976,1411419907,1226859880,1344294210,1869836901,543973742,1886220099,1919251573,1852785696,7955819,62262774,1700143247,1869181810,774971502,673198128,1866672451,1769109872,544499815,541934153,1886547779,943272224,237502513,546243520,1701013836,1684370286,1952533792,1634300517,539828332,1735357008,544039282,1886351952,2037674597,543584032,5063241,63901242,1163075735,-1742718393,745148192,239861777,1095959508,1162629197,585573459,2248526,64884310,1745690761,241762318,1095959528,1162629197,585573459,575882585,-233925120,-585053949,287361082,-1086713300,739184416,974203921,672080032,-902119366,254547488,546388499,1296189730,247005218,550110204,202320920,-1858465492,1699750432,1852797810,1126198369,1970302319,577922420,101639680,253804292,974203914,168763594,288102956,-14642886,-720426858,685173033,254547215,-1496627,-1206966122,253427753,550110224,439094031,-1858465492,680984352,-383143153,538976290,538976288,1263423300,538990917,538976288,-383639520,254318335,1090529715,-905700849,738987808,974203930,-1761664879,699600680,254334697,537865237,-1761613527,699600680,604993024,253807108,739912717,546388497,254318335,585705907,538976288,1936876886,544108393,808463921,538976288,-1498592,-1290852202,261881897,550110254,439094799,-1858465492,680984352,-383134705,353315030,701304620,680984553,2735631,70782928,252649663,-902164180,739315488,974203928,673325201,1126181187,1920561263,1952999273,1296189728,1919894304,959520880,2240824,71438340,235872447,-902164180,739708704,974203928,1344413841,1936942450,1634759456,1646290275,1948283489,1868767343,1852404846,2254197,72093720,-388095861,539108070,545857741,281614,72749093,608456003,-568269024,1611676928,1126206212,539247693,572661991,-1994339040,269946144,1779456256,1126206212,539247693,-1761664793,689639208,-1994339040,85069344,1947234816,1126206212,539247693,539107559,550314018,-2012340087,276561924,545850494,284174,76025992,1163075735,1173319,76681393,-14147445,269232279,-299882236,3148832,216459305,-853540816,1394644768,-1992669371,84610592,-1676623360,253796356,985676368,739516618,282263570,546374822,1280264226,1414078532,268444193,-1861963759,1331241504,1163011925,1414483488,1230198048,1411401550,1126188360,1380928591,1095911215,1128876112,1330454611,1330923854,1145118802,1163153473,2236754,79302990,1411522705,542329160,1196380752,541933906,1397052245,1095911200,1128876112,1312890963,1163010116,1380537681,1411404613,542392648,1346454593,777143636,293011490,546374852,1163022370,1411404627,1394623816,1162035536,1380008480,542069792,1414418243,1163218505,-2130697682,-1761292783,1195725600,-669936384,-568292604,572712680,-1994339040,81268256,-502160896,1145914116,552017956,297402590,545981676,608456003,572581664,550314018,-502390647,299237380,545981686,608456003,-14620896,453978262,550314025,302915721,300875781,545981696,608456003,572581664,-853532128,237013280,-117439214,-1996158447,81923616,185729280,-585053947,202510080,-1491036923,237013280,469763343,-33223406,1881284755,2242097,84808230,336470153,305332229,549389583,288104207,-1778380500,-1861939182,1213473312,1344295753,1380405074,1377848641,1230328133,542328146,1096172609,1145389902,1396785696,757089097,1398087725,1329799237,1312902477,1109860420,1128878913,975316801,252649663,288100652,1226867258,-870313241,589831200,540705594,302915752,312737797,546637074,545857703,14,85136096,739320008,545995282,1347240275,609437004,1163469543,-853532077,579665440,1886216563,577987948,65543212,547437088,739778751,974203921,8469184,85201638,317587599,549389698,318242833,548210060,5892673,94376712,739385544,549403153,1190937,95032086,626073734,32775208,322699305,545654196,673526084,740922895,673526340,740922895,673526083,740935695,673526339,2738191,96342860,1313087622,472393035,2687276,96998230,-1811013491,325058567,546112978,455694,98308966,326369472,545654246,472393026,2687276,99619732,-414637950,550248467,973155356,1227367746,485156649,266944512,8600256,100275113,287843650,974382889,304620866,-1055922391,68398848,-1157591290,1124470291,1846536024,-754925510,-1341770221,739321888,686434577,738275612,740935439,-335527380,-1341767661,739715104,686434583,254566671,304884163,4604460,105518087,254288048,689384631,823929066,-1022415871,739388457,469780034,-905554924,371987488,572559674,1802399556,2259301,106828850,739516618,-1858462449,1917067808,1919252073,340787234,550110815,254546703,579942937,1936028240,1884495987,543515489,3875360,106959982,336535754,974720812,1631724177,1869881458,1769435936,577266548,344719419,550110817,254547215,579942937,1701732716,538976371,538976288,3875360,107156650,386867402,974720812,1917854353,544437093,541283141,572530720,348651579,550110820,254547983,579942937,1696624500,544500088,538976288,3875360,107484400,-413589374,550248469,-819935473,974393120,-1945163600,-366388948,747376424,168814937,8600105,108139776,266819907,1480800873,6885351,108795173,254288048,688991332,1678715114,700911404,254324794,688991412,-1274074902,700911404,-2045427712,371247622,-1858463956,977556256,739647690,-1858461937,5067552,110105946,1139235139,974514777,1497571467,540807144,-1240588083,359661576,-1996618086,1480796192,693715756,1380008748,13052965,111416710,266819652,705685865,679870443,334203135,362872873,545392302,-14096551,367717256,538569513,2081366220,388026144,-1206539008,471909382,304893472,-1038737920,-417054458,545995486,-1629119,453978262,550314025,537203214,-1742692038,745148192,545995281,1093178111,300296484,-1340027616,1480796192,693715756,1480796394,740036585,266950979,288106796,977682988,266819651,1480846076,545848890,743981864,740907331,626147651,-1002780884,751308576,373030930,545982156,350676825,-31404768,1143480456,693709912,1263420460,12987429,114693721,1480794251,542655719,-380034834,-404350705,-853518013,135007776,-535399424,1495304966,337702432,-31404768,254288008,689384588,2441772,116004506,548420227,743982120,-366380017,-380091352,254550031,288106901,977682988,-2045894519,379584518,12584692,117315246,572560126,860043347,383189026,-1828845816,827146786,1915825202,824929587,845427500,1145975122,1915843890,1815372850,1815180594,-67100111,-33091050,929309330,1684943186,1915909426,1815503923,1815246131,1832084529,824979757,2241388,119281446,1830982398,757870893,1815311665,1815241777,1916171571,1848796211,829567588,829175669,845951332,389808162,-1828845786,1916040482,1848730674,827470436,2241109,120592203,1294111486,757870891,1795170867,-33080809,1145184914,843329585,844444498,741420365,827076909,741420365,-1996479951,-33078249,1145184914,1378960435,1278301489,844251697,826552658,827666764,1310173696,580058631,1110590530,826552908,827666770,1380069708,1144082994,1429294129,399179825,-1828845736,843334178,1144147010,1429295665,1110527025,827470418,827076932,-520081067,-1341693417,288100648,254339625,1007627304,1110191145,1813507584,546307591,304878120,402522153,545654646,626147651,58989608,404160553,-1979840640,304878120,254339625,755969053,1094921257,486548818,-1912108520,-1810357504,788578311,-33055208,810754706,1073750584,-33052648,1109532818,741617997,2242609,129112164,1294111486,757871147,1295536692,757870891,1295078705,724316459,841698609,3222828,129767559,1294111486,824979757,741419853,825052467,760033580,841821233,741420365,-1358945742,-33044968,860103314,861221196,741420365,1278362673,1278367025,1278362675,1295144241,757870893,-989846991,-33042408,860103314,894775628,741485901,573658419,-635906560,546307591,739577640,740888079,418250772,549914596,740626216,975768079,254288071,168766504,419823657,549914606,740626216,975768335,254288071,185543720,421593129,-1979840520,219097120,-366407380,741150504,740890895,625692228,35202816,1140887048,1393036313,1146349380,-902163735,739118880,546388503,1330594338,2236749,135666019,673221118,1496078404,1143532073,269478232,266950956,1143744793,2113938737,1141383193,1156012081,826554968,978970457,-413650364,266950724,429916177,-1979840470,1480861728,739315689,686434649,266950724,-380031969,740890895,2437700,137632193,673221118,1126979651,686434649,266950723,1497574414,690753513,623985452,1041884416,545914376,-380091608,1126960911,686434649,266950723,1497574428,690753513,624050988,1209663744,1479623432,978863079,-413585085,1127897411,1139234866,252701016,1377445120,1344307720,-870311961,-819982048,974318112,-334305446,1357714216,827996713,1525289703,1545226752,545848840,1479623464,1496400684,826485801,-1996604891,1479689000,1496400684,843263017,443482149,-1996617626,826550304,826551384,1143744857,-29743823,843327624,826551384,1143744857,-1711266510,1124626458,1139234865,828042072,1496400954,1525373415,843266609,843310936,472443224,1139409187,-349611982,449773658,826542202,1480910680,976313067,-413585085,-380030653,-358936792,693711171,1144675051,1156012082,686381106,-369023460,693645892,-201303317,-32996326,1126703240,1126979633,740907313,975515971,1126729982,1126979634,740907313,2437699,143530777,673220862,743977284,693711172,623985708,680066618,743977540,693711172,624051244,-1743049728,253805576,-1996494555,751308779,8600085,144841534],8,[1,-413589374,1,550248466,1,973590556,1,457834627,1,985663660,1,68034697,1,460259334,1,1297287350,1,-380808217,1,550124050,1,420424728,1,572559674,1,1802399556,1,1814067557,1,1936028527,1,-2130697695,1,-2113355749,1,317151520,1,471911456,1,-2093349912,1,-904164096,1,-1992638456,1,100929056,1,436207616,1,88167171,1,-976432947,1,239600339,1,21840643,1,-950927164,1,26,994,0],9,[1024,0],10,[1024,0],11,[1024,0],12,[1024,0],13,[1024,0],14,[1024,0],15,[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,49748662,637584644,45155063,147719928,1129449824,49742583,49757698,61954,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1313817600,542721355,1396785696,0,538976256,538976288,538976288,0,0,1868832779,2036689774,1935761966,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,567086772,173849850,-1899459332,-1899983152,-930284584,156370475,-150990662,1959922658,-18429,-1173791581,162793358,431235533,1470243277,-1270807543,-841971198,-1270959583,-1910387454,-167160802,-16501754,521031541,-1274490950,-383660790,-1494744960,1948597253,1947024478,1915759706,1997093967,-259286965,-1265899823,-24968160,-1271040769,222080002,-1968556428,-350106160,-1173768972,567083966,-855401286,201439265,1743331789,66829055,567087028,-512376822,67700423,-1044774911,-853887991,147963681,1006979304,-1432652763,45404298,-92134963,-2115144435,-1962355985,-794679609,86763528,179445518,567083700,-1089941058,28838240,1008848169,1014985729,-1974569729,157000197,163127472,-1359853824,-1054209616,-1089904478,12124289,-1431546368,-85979844,243847670,-1084358528,28311644,1487020493,7126793,567083440,-1609999966,378145120,-771094181,-922862987,-303494795,140557054,-1107217431,11864219,-1979096897,-215489780,-251420762,-260723298,1486934155,1493568009,1962884105,-372047912,115998358,-24319743,-922825986,1537275764,157327881,157877959,113659715,-1169356437,263457120,1453466061,1958742537,1762051963,-967293687,1158245126,-1073077811,113732212,1094846825,158009030,169987412,-1900841536,-1089907706,-4717536,702975,-776033293,48904,-402382661,222037064,-1993991308,-1404878017,1946436584,222079495,-202699916,-2119561808,1912878331,157335262,-1190921281,-1510801392,520536115,-1560011613,-1556085730,883033097,-34543356,158809730,861697279,159491008,1074365347,-1962316125,-1962323434,-853101350,1443296801,1232469769,-1160081890,448004352,-1960894003,-2130093042,-1174339351,666110304,-922869299,1963474874,1544456993,-1898213879,-745604413,-2114199157,855703785,12079296,-397389055,-1161100340,162793334,-2081873459,163756797,567089844,-1174398279,666110304,-895409715,2032905,-388823631,-955678301,617990,281248514,163976843,378130475,-489485882,-754728309,-784610932,1997029306,-834763847,74776329,-645150677,-1910576245,-1261292581,522308890,163974795,-1274453830,690081063,1946797582,1963042832,-524058362,-1159992561,-2115434551,165323263,-955678301,17395206,163756544,567089844,164118147,-1272810496,157334055,-855636807,1975519777,-1036088366,163881225,-1064385277,-13827802,1963575310,164667870,-1896168189,-769225776,771881737,1386285528,1544456969,-1899983351,49211608,-701563090,1577514761,1979711241,129677830,-1006693399,6110850,-1341491936,6143807,-218100807,161266346,567089844,157157063,297009152,-855614278,1958805025,1577517000,161332745,-402650951,45351004,567091378,62464461,5171200,163133067,163266187,-1308602904,-853422816,-1256289503,1960512265,-1312584918,619238149,9627663,567094706,522503050,-1308588056,-1977496275,99143879,1681653840,1680605810,-1174375448,162793358,313795021,45387499,-841971028,-1007033823,-661929933,549054603,-773402368,1122538967,-392981248,345178173,-1175526912,132651792,-389838080,-980746238,-388724144,-1973813247,-789917454,-789917462,190698,-494872950,-1325239281,583925248,818577613,45404458,314778061,-997840960,-2044215278,181715908,45404299,-1031612794,-1977496272,818053846,-1262280243,129678099,6110850,-1274352864,128170775,7159426,126990880,1555696500,-31339264,-1948551744,-35984941,156376718,448057907,521019853,-1275044678,169987343,129678016,-1070341259,-1560248925,-1556086657,109969514,1555695954,1544456960,-853036023,866116385,1017915126,-1265142758,-841971198,-336403935,7126753,-1542886209,-2113302081,58007612,-1543479874,-218102343,1577502629,-1174405111,448006556,297017805,-855614278,1958742561,1580632849,-385928439,800784098,-855002104,-1648639199,158187273,-1190555202,1017905163,-1979550401,-498882041,158114037,91602954,-32942176,-1677313344,-1106217719,-1648424595,768265,196781811,-1167166456,263457180,113648077,-1912600230,856248862,-853887790,857673249,163423168,-1559642205,-1885140595,-1432141815,161266185,157027979,567093172,28327651,156894854,343261194,-1274450758,-1172189930,-1073084427,113713013,67962,-1274450758,169987368,-1161136960,280234348,330572237,-608558643,-855002105,-12457695,156894966,-1592691457,-2136798800,158120457,567087284,157157119,156778114,-1260489471,161266202,313795021,-1157689879,666108923,-855637575,-1610095839,440142273,229640053,70518470,-391331072,-93061116,540853070,1027406708,742193012,154989428,142392003,567085492,-854851144,-511655135,434672,243908907,78708742,100792531,-2135293944,-853888000,1486958113,-1949748471,116797137,1962869812,244002516,-71693996,1631765251,1868767332,1851878765,-842148764,-842150451,-842150451,-842150451,-842150451,-1093808691,-842148674,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,548647892,1444945952,1769173605,824209007,540028974,538976288,548647859,538976288,538976288,538976288,538976288,538976288,538976288,538976288,538976288,538976288,538976288,-1280068832,538976288,1142956064,1162563151,538976345,538976288,-709315808,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,-842150451,1960168909,1768300655,1852383348,1835363616,611938927,1635151433,543451500,1986622052,1886593125,1718182757,1952539497,611217257,1769108563,1629513067,2036689696,1701345056,1701978222,544826465,539893806,69476398,1750223172,1163003652,1162690894,1158022531,1163084114,1409615223,-1606070183,1163002885,83952717,1498435395,1342572009,1163089217,-2147481803,1935761937,543253353,1802399588,1647212901,881505,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,49741824,689,0,2541104,1396785665,541147977,1297040160,65663,16256,1049348,13435054,31,4161536,0,0,0,0,0,0,1297040129,538976333,1396785696,0,0,0,637731840,1114113,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4194304,2097152,-18113778,-234360832,247464917,1572887,-234360295,295043136,4198434,4201377,4195119,4198806,270667812,105713700,-167752346,295105094,684993700,-234686976,-167760758,250475014,802684928,1074198016,1285172357,116932599,0],184,[89,253759264,1,255987529,1,253759309,34,253759264,1,256904992,1,259133285,1,258936691,1,258019182,1,253759340,1,258936643,1,259002221,1,259264373,1,259133285,50,253759264,1,181209813,10,181209805,1,253758136,8,253759264,1,169872051,3,169871904,1,172952132,1,172689998,1,173607493,4,169871904,1,253758131,8,253759264,1,169872051,10,169871904,1,253758131,8,253759264,1,169872051,1,169871904,1,173410848,1,175245925,1,174656115,1,174983791,1,170986016,1,170920494,1,169871920,2,169871904,1,253758131,8,253759264,1,181209812,10,181209805,1,253758142,47,253759264,1,256053032,1,253759273,1,258936643,1,259592048,1,258543474,1,258477927,1,253759348,1,255987529,1,253759309,1,258936643,1,259002226,1,254873376,1,255332153,1,253759281,106,253759264,1,242355792,1,242421349,1,236981875,1,242224755,1,241372769,1,236981861,1,241241698,1,236981874,1,242159220,1,241372704,1,242093679,1,241766004,1,242552430,1,253759077,23,253759264,20,251662080,524,119539488],185,[1024,119539488],186,[1024,119539488],187,[1024,119539488],246,[-394358807,-389321817,-1043634942,0,0,0,0,0,0,-1808911616,1534289933,1712675089,-1894367689,-1240404719,202569744,890293806,756113169,1343440942,455030063,1477574189,-1860440034,-1104247518,1393016327,773014302,-1979711457,-1676583138,-1557226194,-550571218,1477617974,-1205716718,-81602542,17825295,-653261808,809305108,6135869,0,1061005568,69508644,1816351296,-834572991,-413978815,324871762,692466502,-782758568,-1824010937,391129681,-1524012972,472494377,-1770094491,-2022641283,209325688,-194870157,-847598215,1026264186,-400852450,-383379672,187234345,1193443369,304483625,-1390709466,-2106896021,-94004117,307664981,-1740324777,927247428,1459701761,-1274967295,-452863743,-117312511,369235201,1342315010,1828872706,-1459452414,-553473534,973284098,1292059395,1761830147,1426287107,1319817044,-750588220,248402950,1426259,-984202925,1095716034,1162200004,1325450704,-1076736180,-984395956,-733065285,1095060633,1381208786,-607237812,483675721,499600979,516702788,1208800079,1092002898,1286851660,1157677267,-984332980,-1051442775,-2033366652,1414743621,1178971346,-1378595255,1314080325,1178971847,-1345568188,9946693,-1580903604,1384236110,-1513794751,-1496037052,-766553518,-724807001,1490408018,-967898160,-237612765,-2100146432,-984428082,534268175,-816558336,1411403657,1397721551,9290325,446978117,1431326208,-1949923884,-766225586,97799896,1292947534,1263465168,-559654587,-649789440,1129251017,-893037503,1313428048,1229757908,1352586323,1159451471,1313442004,1095741637,1397341380,-951086124,616779530,1158860357,27546694,2475599,-766553009,1196574145,-1001407035,-1539028493,1480916995,-683310124,-741060716,-834318336,-1663806022,-271411762,430199875,1330205776,-968443698,1230110941,1334957134,1335412043,1162154451,1163073483,1163052756,-942389933,-733066929,550389212,-833290240,1431586186,1166986834,1166525505,1380930643,-851079995,1431520655,1235797325,-1537980345,147082754,-850047419,1145979307,1514753359,1124121029,-834321070,-800107320,-801024112,-984202844,-1471983426,-800762670,80627663,1225249361,1381239246,1381241764,-1538830775,1128354006,1327014981,-993767851,-884782764,1230132257,1207968455,1389219397,1386401359,-1547286961,-827833791,-834548529,1230176269,1406650190,1090572498,1379996876,-623750064,1413761280,1229037768,1229493972,1169278284,1387447374,-1211804599,-254652672,-1426063360,-1427460631,-554913813,-1477124883,-1108951335,15252711,2088532345,1011241087,2071603250,27522,1681615789,1722313553,1817404163,1702126368,1662608146,1663591233,1667916849,1669948239,1706301655,1480936960,1769414740,1970235508,1329995892,2035482706,2019652718,1920099616,1375761007,1381323845,1769414734,1970235508,1330061428,4347219,544503119,1142974063,4281409,1701604425,543973735,1668183398,1852795252,1818321696,1984888940,1818653285,1325430639,1864397941,1701650534,2037542765,1684952320,1852401253,1814062181,543518313,1651340654,1392538213,1668506229,1953524082,1953853216,543584032,1735287154,1967390821,1667853424,543519841,1768318276,1769236846,1140878959,1936291433,544108393,2048948578,7303781,1701604425,543973735,1701996900,1409315939,543518841,1836280173,1751348321,1953844992,543584032,1769108595,1931503470,1701011824,1920226048,543649385,544173940,1735290732,1920226048,543649385,1836216166,543255669,544173940,1886220131,7890284,661545283,1868767348,1852404846,1426089333,1717920878,1684369001,1702065440,1969627250,1769235310,1308651119,1163010159,1162696019,1397051904,541412693,1752459639,544503151,1869771365,1851064434,1852404336,1818386804,1919230053,7499634,1936943437,543649385,1919250543,6581857,1701734732,1718968864,544367974,1919252079,2003790950,1986348032,543515497,1701669204,7632239,1769366852,1176528227,1953264993,1380926976,1953060640,1953853288,1480936992,1968111700,1718558836,1885425696,1056993893,1229477632,1998603596,1869116521,1461744757,4476485,1145980247,1953068832,1953853288,1229477664,1174422860,1145849161,1702260512,1869375090,1850278007,1852990836,1696623713,1919906418,1684095488,1818846752,1970151525,1919246957,1818838528,1869488229,1868963956,6581877,543449410,1701603686,1685024032,1766195301,1629513068,1634038380,1864399204,7234928,1698955327,1701013878,1328498976,1920091424,1174434415,543517801,1701997665,544826465,1936291941,1056994164,1140866816,543912809,1819047270,1886275840,1881175157,544502625,6581861,543449410,1868785010,1847616626,1700949365,1631715442,1768300644,1847616876,6647137,1766064191,1952671090,1635021600,1701668212,1763734638,1768300654,1409312108,1830842223,544829025,1701603686,115,270451456,1338462720,1338462848,-889133952,-1,-1,-1,-1,-1,1342177281,124911672,118489086,1034,0,0,0,0,0,1792,2098951,0,0,404226304,0,65616,117899264,0,16777216,16842752,16843009,16843009,16843009,16843009,16843009,16843009,544106784,-9744640,1916928013,7037285,50332859,126501852,1974549571,440583,-236201725,24412732,1125092035,1396912010,-770975349,74766983,-633611641,1526730937,-654055820,-1246113813,9562376,512460493,-947257298,-1057045726,1335888244,-1296037373,-380799725,1035085501,-1187401031,-1296484686,884128053,-1187794247,-1296482638,1085454647,-1187007815,-1296485710,984791363,512434923,512295735,45219886,-1190415687,-1296498254,313702666,-1189825863,-1296496974,229816598,916635698,6267397,-1576770910,512426080,512294958,-1070464185,-1576770142,-947256213,-1057045726,512296052,213451593,1159629576,632416515,-1966962087,2663114,54730379,55254665,512481927,-947256505,-1057045726,512297588,-628685996,55975561,55385739,-628630773,1946374075,1963401739,-2028995065,108259802,126402610,149475722,62176036,-1031108659,141771836,108212796,108142396,321661104,-1976643446,-1073069305,1129052277,-227161346,1193184083,-561553917,780717398,1060898698,-1151662475,-722795596,1534246632,1006632634,1971965402,1978591491,-1021130870,57983230,-1336108568,586279167,-1966253648,1872937010,1010558976,-1155294488,-1930950867,2662514,57999916,-852627736,-17525,3022473,167984800,-1958120256,1392721694,1516004840,24635474,41036464,-1394073424,679798818,839807834,54436544,-1070419733,-352108894,1092520725,1926890243,-105229583,1524251647,512354419,-140508353,1958742529,766044586,1915245032,99215522,-922828546,-392390284,141756205,1965462504,-25761533,-1979434776,1965046791,1542514691,20047954,512335194,-1932721341,1877541746,-397323717,-1326957074,-1665136123,55121545,1912664296,1973198089,129034499,-1672364022,447604819,1364827483,-689437837,1386043928,-1604696204,-1073085333,512428149,512295690,512426799,-2023881896,1398363870,-397158141,-1990501611,-2029823970,1497336026,1128485722,1128470409,1224784058,-1958131383,126397682,-1974910397,1975847617,1519242738,-1962926360,-1996166882,-402435554,-1899158711,55713419,82386569,-1946232599,-2030030818,-1963029798,1124567770,24446730,1128481731,-1073084534,540807284,188544371,-35065486,83486724,-2025591573,-350778918,47828,1008170066,1511224364,1376134120,742137204,-1343743628,41216547,-88462276,-402426625,125044236,57945148,-1979882519,-2029831394,-2023859494,-1957472546,-1962921954,1124567755,1268713226,1133868190,991923011,-1948677158,-2005600993,-343575563,-1564462366,-56491267,-1181758206,-1195769541,168266240,-1155500608,-1014365888,-930430678,-988100726,-1212422006,-1950338560,-1958565126,-1958565126,1019456250,-385649374,540803123,-56620684,-1967126014,1127183367,39118928,1949969496,1967799302,-1576947704,-39714052,1968516098,126505132,1951973386,1946630826,126505178,36497475,172223723,1267890368,-1850720452,58020178,-1174347031,-756546709,606726158,787022707,1589269249,2156555,-253215115,191019523,-1342171672,-385649271,1706688520,583691,-1917835659,11397465,-1406209397,24494090,-389510461,-1053159787,1111750261,1330113259,1330905120,4347136,243263579,-1148138157,1093402883,-930430974,-654114635,1528269614,1726501699,-1949791730,615263986,-385649281,977469867,-1957661247,1118580466,-495337462,675070346,-225763980,-784552914,-801368716,921178484,1949187086,365422595,57802928,1476492009,-1406209397,-1073049139,602473337,207247616,-5222272,838947304,50176704,21555288,1543418601,-1406209397,2042628674,-1913961737,-1832038325,-1978921798,787647432,1958742700,-1053146601,351007605,-1448367476,-1579898714,-1986096246,9293198,49004594,-39714384,1515804674,1968218428,16443395,1974549592,16050181,-650319440,-957807756,-437760000,-393236480,1347944674,-1963020823,1949187079,1916419086,9496835,57880636,-1610577431,-1073085699,1515784074,1659437945,1009218814,-385649362,246480473,1375776232,-402396952,-2023882499,-628664610,-1679244406,1539803648,-385837592,1364393471,535299978,14674013,-1605150119,37487355,512432757,-947256157,45137930,-1014362507,263453578,-931984836,-873787132,80269392,6088731,-402349125,57806415,1476698043,-402159024,1129840714,-193607426,-38934181,1107520186,-1406209397,58031908,1107323881,-225769670,-344609746,1006661609,-385649626,-397148731,-396688885,1211894999,41225136,199756976,-397323776,-380039975,984678236,1118501515,180456009,-1023314747,-1679222862,1536413178,-1563886005,1515782909,-401825560,-398196770,-253227879,1022653217,1007186746,1022128944,-370641874,126549299,175317052,108267836,41159228,-1605361488,-1057094915,-922877324,1274978281,540805002,154990964,171767156,-1018957452,966943920,701687811,-417311256,991332690,50044931,159115344,703091544,72792848,1532380648,-397190822,512295837,45810485,-388234496,511048051,1263720707,-1974782070,1396917015,53812875,1515969083,-1956977291,1159629283,-2024099581,-402083366,-1957486877,1577268510,1398201991,3022475,1457424222,-870322712,1963793128,-104404733,-1041693838,250125561,2018745609,1894659,1583188712,-1168712057,126484481,58052412,1376834792,-388331693,669734598,-396553496,1364940209,-2130658990,-695537270,126522573,28364604,-806875531,-186100984,1435756636,1533874920,-930459055,-1978877208,-397717016,57933995,-386316311,-1595402623,-1957473536,-1996203490,-1962922466,1577270046,-1252598137,-2036379262,-997830460,1355056799,-806763386,1367520612,-873905429,-116200968,7727299,-1781706517,-384867351,-1073085739,-1975260299,118113031,-1958485900,378094359,116785198,1962869878,1538282278,-2028156184,1450240218,-1058513488,334191388,-1679255859,1160153373,1126074627,1007127043,1136620858,977012618,-390419598,-1535880690,-1418559188,-1569502660,-1073552334,-1748111221,632618798,126501632,24263228,1948269763,1007186676,-1057032912,180603134,1023112384,1014133259,-1610189538,-1073085696,1947221187,-1572646852,472646400,-181651085,-29620365,126491509,-31553213,-1979664638,35555800,-1576882173,79364865,-1073063936,1124567747,-31553213,1066027778,938009067,-31552768,-23860478,-1564421952,1364329217,-2029845830,-387413286,-628665069,512318041,-1151859970,-1073086460,1913208003,-9836285,-17485764,-1010237760,1006829728,1008169743,-1961659891,1963131422,1128481546,-1975314550,-371554505,27284586,50045443,292816956,50470539,77799049,50601611,77930121,50510787,-1303077399,45267203],247,[-1190874439,988285106,129939743,753234513,-1966568895,-16389912,259385916,-385941784,-797827295,-393592532,-1963003160,1925262021,1589706435,-1151934841,11862880,394844419,1976106563,126508025,-1468715972,-335622424,-20322123,2031006696,-385502565,126547834,378220092,58000201,1274983145,1023323880,1006793742,35031821,-385649405,-1070399841,1258487970,-402652998,24313491,1352618947,991533243,-1977912614,64654078,64685018,1490748378,-1976554338,50378448,1541048282,-1638345237,58049371,1008499945,1007121422,-385649651,1978151075,250132764,61939435,-400817432,1398407061,773753683,-561553920,-1618104234,-2041527162,82530756,-8656815,1006829728,1960478477,1947090108,-155260669,-1957438841,1577254430,-396960121,1396899921,3022475,1935399483,-112203773,1189610354,1225618425,1034030512,-51881213,-1009153262,-1545008974,1972948470,-385894666,-477366790,54861449,62033212,-1947663500,512318454,-390397906,-561553906,-1319391146,-1325208774,-1979665152,-1966241087,-1326953496,1958742781,1959082686,574374842,-1057035916,-1943212940,-985995403,-259340782,72933355,-401282301,1609049564,378136348,-1605237957,-397409541,1582826885,-1974018425,50045160,-980761286,635962996,50044940,1006937018,-1174179323,1012073631,-1959693053,1392812830,-1961391293,989868062,-1961790502,990075934,292772570,990063803,-1341492262,384231514,870898311,383707156,1457424222,1515372264,-1489190053,417870453,468510973,-27268983,225759755,-1963438104,1540459253,334037874,1293322751,-1596296701,-1073085617,-780877174,-1979701088,-170989104,-1978866200,1021872647,-402295667,1267276722,-906048886,58049930,-386090519,742194714,-286546059,-1962717254,-1073042190,1760101237,-1564410123,-91553752,1007127210,-401574781,-2055864843,57987595,-16879127,-402199616,24444055,1260293059,-1948612861,-1996273890,-2030031330,-1964149286,1975519751,1128481540,-1293335741,208726270,-1073030539,-1528233099,-182392323,1375734458,-1645731980,1591379965,1951850119,-388331754,-1960043738,1946370326,-40638456,-504822924,-1965389836,1975716551,-42866429,54599305,1526939298,54468233,-170137255,-1979437848,1965833223,-65411069,91523388,-853874200,-756526261,427055953,1979451112,238863105,-857144459,1947024637,-69146365,50470539,-402540861,-1073021399,-454494604,1973501179,1976499954,-388895762,65732970,1261542376,1979436776,421390339,1072235381,1977039873,661383427,58052156,1006676969,-385649198,1012072612,1013806124,-385649349,-396820201,-397212759,259262371,-396541464,130421442,-1558279392,-855114236,-1558279271,971526916,-401771492,58196273,-402640407,65750401,-1979700832,1958805224,471787555,1726482292,-351827387,996730883,-1073065125,117575284,-33262603,1925528264,412739587,316598363,-9705125,851024589,-383874304,-388431100,126491624,715135093,-387413504,-12829902,-986051468,1827144562,-385650152,237764743,-789119885,-397380885,-236389625,1011898378,1241609426,-1073035638,65602424,47616,463923283,-1628959372,-385648640,-286785515,-1610355900,-662044631,125092094,2095579319,1541048145,689545704,-768845749,-1189907373,512426034,-654113559,-1977913368,-402426617,-789169474,275956226,427081982,-1978140952,2043215554,911619,-393559810,417865904,1976434199,-1998038023,-21173766,-1070425139,-397323693,1515793542,-125124558,512350346,-1017445143,-1614794157,-2041527162,719972548,-488045708,783897586,-1241337344,-1999043587,1526771767,-399907095,-1073074637,1954888899,866314499,-2061954584,58008380,-399496983,1944591664,578480128,1380926696,480766035,57891162,1360610793,-402606766,-1336209083,-57415421,1684361791,1919295599,1931505007,1953653108,-1975320563,1975519751,-225253117,-227204548,1526766569,-854791333,54173852,57982986,1509061609,-401272645,512452107,-389872829,-1152176236,-521600522,1948466176,482273522,1360366777,11543100,1604517808,-388008700,126488795,175451196,1604501554,-107091964,1877476587,-397198568,-1017442000,73375827,175423498,216547248,-400510954,48764423,57891100,1360568809,983744562,738706947,1398528647,-1337241006,54108800,-386310424,126493349,1965571147,11879200,1290323454,-385649159,574419432,1172898677,1948794111,1965636843,1976434409,-114169627,742131572,-907476108,-561553679,1007127126,-385649620,28376881,-402347614,-1449131934,1959329284,-14685949,84797523,-1930951819,-397714670,-2023819013,126506718,-1955320772,-320320677,1539312376,183042932,738707199,-1957493013,218324510,983744562,-561553917,-402330794,-399763550,-2023874280,-1974315298,1949056007,54173706,57982986,218139625,1386397746,425912324,-1947663500,78243886,-398953136,-259327845,574417034,983567988,-1967126013,-1241352976,1261221178,1477424872,-930479356,168055456,-1023314496,-628637302,1578551995,1381424775,-386207511,1348008035,-1682373316,57889046,-380438039,-397716739,125106255,57945148,1593729257,1263984263,1962426088,-9705213,54173786,-628637686,904463220,-379891177,1659436450,1975519994,126501653,-1308161469,-385649404,-1958481714,378094359,149422903,1971600632,-11540003,-417933848,-402651927,1260918478,-1320025930,363194369,-1293378099,-1564462591,512296104,512426834,-1973877934,824084743,1944468483,-381893887,-382962318,209047690,1006828448,1975683587,282519811,-445445060,-1241284421,-1965423872,931802821,-713832902,389986641,-842626479,1954495646,1917926500,1023288429,-1603832710,53215995,1038680949,-4191504,2030347062,1173763,77936383,149488506,-1623785728,-1590231292,-1979513852,1374194378,1360536505,53550731,-1224776727,1927687168,1929591860,-805225424,986067664,1945144006,-270604029,53550729,-336120088,1399187680,-1186187288,2142659881,-397227541,1398428595,-350539335,1019579070,-1023315356,79319633,453229412,51505235,1994982260,-1558279169,-927378684,1503456037,-56442486,50044930,225822010,678691388,58000444,1929412585,-1963947463,1946696901,1019644462,-1973980152,1946434757,1019644518,-385649405,1702096764,-1258050885,64553728,260714201,797584963,-1558279334,-389852924,635982604,512318284,-1990523743,1493475102,1264248922,-1152190488,-56622186,46190594,316181187,-1966921017,529215224,-980753409,1274472528,50045528,-747371460,-1558279845,-388895996,1515803287,-352083781,1642617805,1248192587,1531652328,77930121,-1558279845,1407576836,1357437575,1172855626,1246357579,-397657111,58062387,1945036009,1355606275,1914064616,14412035,57876540,-839483415,1975582367,23783683,-381892354,-365111948,-1343683723,1965177856,221112579,58053436,1006759145,-385649370,-717487919,-387445643,2662645,38004819,-734215333,-655880843,512447477,-135789753,1019435850,-399608358,-1679231545,591144980,-1192751755,1088967429,1541048102,-402652183,-2081939719,-2024593132,1977289690,-153229053,1531678184,1976581315,33614083,58054716,1007717353,-385649208,-600032304,1290339189,1977498670,318368003,58054204,1007644905,-385649275,-616814024,-1528233099,1976646715,41871619,-386047768,-1020718034,1575517622,1377733629,-689417469,-389850269,-2024596076,-1558279718,21096452,-1343749260,-1966908598,1918974983,1937456377,-1017174795,57943612,-1158255383,417857536,-1709835,963923772,880101436,-1975319115,-2758649,-2028655896,1007317978,743273274,-347508176,1934048262,53947459,64685019,182125531,-2015851837,1976434394,-309532207,-187307957,611572359,57817148,-1175622679,55642064,60584667,60322523,1502900955,808190133,-654063478,-705963385,-2025154072,-1975270438,1015098375,1393456391,1022663400,57957160,-1337335575,-805260025,1372097216,-1963686168,1929723073,-58464222,739463656,-2025220888,-1558279206,-561553916,-628665514,-2029754904,-561553702,-400430250,-2023817474,-1014343970,192023612,-1580393668,-402427053,-1168420741,-1336796715,78160385,-855590471,785974176,-822204417,-2055935428,-2123092676,725403390,1019412853,-1610910487,-20734389,1505759936,-16464606,-118964198,-1240470711,-65869734,-145714456,-1558279725,434723076,50045180,-922875844,-922826498,1355123395,1481668328,1970945114,1250552067,58030908,-1186437399,1011967244,184776006,1346159578,-635239563,1966881987,-1009110269,91566652,-738731469,601094083,-1009518630,-806757845,6529096,-1343749141,-1967063501,-1967115560,1233447416,1375743720,1593717224,-1957241209,-360425,-1125579915,129699572,922702693,-1605237936,1011876603,-402426621,-2024272649,77839322,-211687221,1006633145,1007711003,-401837551,44102483,-792720893,-2016900400,1227738,-628631293,-2496317,303097938,113436903,1457424222,-1017440375,-378220484,477417788,1393687016,1158804968,1192358376,125098636,-418256408,-1996055576,-1023193066,-402525208,-628686368,-628680823,675022730,854131572,-219027211,-1977925656,1965636615,-182195965,739359208,-907481365,50044929,-1991196662,-2029825506,186616794,-385649189,126544756,57944124,-402600215,512357051,-628686031,55713419,672237032,1397801010,-2135893369,-402441822,-628679952,1457424222,1342372768,-90445742,55713417,824084827,1105745923,-402345727,-121958345,-1948515329,1207560419,1342372768,55713419,691799946,1005065076,-1957483503,-402444002,-349433550,-459122511,-1073063933,-73249164,47874,-1075258365,572231,-477373437,-33311910,-225752381,2025851564,1246382838,33749920,-1595372861,-930479132,1681704194,1424556914,-1014345485,-423952203,-1965489405,14674120,1360840121,-191239855,55713419,1408367336,53550731,688966120,512316080,2090861361,1342440451,-930428720,1477416680,-789133174,-661995266,-603717705,-1168907381,-1628961926,512318208,512426874,512295908,-880082052,-1174176069,-2031615002,-1963423232,-467760680,1344178947,512312068,-947256240,1302512394,824085252,-107943933,-242358197,703136628,-41031446,750391669,-1558279421,1926904580,142403590,-1962350872,-1979483618,1137937143,1125091907,1094791050,2059092289,3139587,-477373817,72359563,1344178507,180849156,72196803,609441883,59554567,11913354,-51848957,-1950131204,126397682,-1974910397,1975585477,-1957444622,1124085278,1968954123,-385043724,-404166194,-2135895793,167983522,-372733433,2117867867,-1645673612,126501865,1971534915,212134147,58040380,1010282473,-385649246,-2115422016,74836201,-370353529,1642659129,-1477946876,-873976817,-389850624,-1007747088,1392503784,1258336848,1961933544,260892679,11593772,1592822360,-1604919673,-1073086370,-628683915,853182444,1959142082,-373072914,591194420,-1763165068,-57546504,2112378997,-1228502496,181466624,-385648192,-796200525,256436306,7137324,-997810342,1405388368,46303826,-1328510272,-997810412,-372996528,1357389832,5040368,253814864,4515884,-397257896,854073543,2042628666,-244193021,394811971,787006299,867756032,738208162,83653390,-19859940,-1564343616,-389873622,451473427,-1662495752,1541048140,-1073035638,-268310333,-386397976,57999339,1274098409,-1963986200,2145960898,-387429387,1503841775,1374352104,-1960306200,1258502942,1961875176,245950478,532932652,-1070464334,-1155426584,512360447,1978138670,-1341819632,7315969,260725339,1127189059,-1056258678,1038680949,274393321,132645749,260722957,1127189059,-561553839,1004177238,57891290,1592336105,1398201991,-1982167215,-402437858,-1973729878,1946762247,-400510971,417860595,33012480,-402651672,-1746203469,-1073084534,-389873291,-347924631,33012211,-1070399562,839056546,73310912,-349734424,-29146874,-1965067058,-1950348793,-696997127,678562620,-796254148,574371954,-56620427],248,[-1576979454,581960444,276118076,-805110624,-804818216,-1560468272,984613628,58310666,-1979695895,1949187280,22538249,-1070463885,1587550443,1958742532,1975582223,-1960792053,-29250823,-1023314482,1587675568,1019382276,1007120907,-385649888,-108330697,-1602032726,-657456388,-657439886,1383323856,-650377334,-1514450605,-814394592,-1393456311,-948613828,-1393456311,-1082833604,-1393456311,-1217048004,-1393456311,-1351271876,-27568040,-20513082,-339280186,-1973724883,-13244153,201522336,50110978,-1597784014,67896060,-791612437,126543730,58033212,1023402472,-402426481,126549989,126533886,-1975319179,1132405767,58040636,1011087592,-1979025999,-381926649,24424880,1381061451,918266829,-1310160383,1136787008,-745867382,168266286,-1611500352,-193356221,973572654,-2014808635,1959804122,-1965999102,-1973855551,-1609796144,-1073085346,1587675312,1008069380,839349595,73310912,1587551723,-1329591804,73310975,548408692,1101724043,58052350,-1979341591,772205506,-1975318646,-1954601776,-29250823,-385649202,-1039530611,-1472403079,-1070463627,1527013026,-385981207,24251839,1915763907,-180732677,-1998042173,1347506925,1492001256,1361163705,58002236,1010983145,-385649396,512442979,334037762,-1604691633,1337066240,108268348,1219628092,649073781,1101724043,-1066086658,-108281206,-822197846,27309684,-1308345341,-1308200448,-1308462047,1007127075,-402426592,126501714,1958742595,-1426486486,1959722561,50438287,-361626564,-1952560737,1100983537,1006925214,1007186990,1006924868,-1294764731,-1966085376,1958742722,-1426486519,1976499777,512475905,-1360461058,-403576579,32893009,1364286041,1944592616,-1963488757,-561553709,-633646250,15270770,120437742,1499002600,1577704891,-2024350073,1478396890,-1393390845,1101724043,1977236290,-1982231564,-1023191010,-402640152,-1910627133,-1979494370,-286712057,1501432,615639122,738941416,1526496744,1342606854,-1426420989,2062074631,82334708,1541048064,1806547395,-127276975,-1530005896,1006937760,-387091056,-394766165,-1186430232,12226944,1077602560,1358957241,-712313462,742143348,-397276300,-292885132,1952107146,184608806,-312022996,-396878476,1378618102,1961715944,-457774845,58053131,-2014491927,-561553702,1373275990,1525107944,1189630290,1524206567,-628630981,753468275,1482250989,367743571,57923843,-2014503191,-105163814,1541028863,283706227,395006701,-628633077,-1978895270,118113031,-2019669089,1372943834,1493181672,-1957536934,-771013865,-628681612,1457424222,-1992041849,64653079,1541048281,-1246108437,222056712,1034076210,807308035,-1975301376,118113031,1136853365,-398256245,-1073026181,-930419596,167984544,1958841024,1017498971,-401050201,-1992496285,1558766709,1963867371,-1394060579,1976699884,1009380106,1389131022,1408016104,-1612280600,229678665,2028486514,603765512,1466558546,1096869979,1364417369,1531007464,-1544860838,1701080661,1701734758,1768693860,2123118,-361427652,-329127854,1138394963,260719427,-1339061693,603437838,-31552685,-2008329470,260590383,1527220299,54370499,-126566390,-385922583,-398325326,-398390866,-397211222,-1606088282,-1073085347,1860764532,512447459,-628685990,56368779,57989691,1541627113,808191882,1240007539,1912749283,-482154237,-33268574,73245376,-1008036120,168266286,-386370368,-347930621,-997810189,-372996528,158598937,1408402664,-347666712,-759475424,1453713444,1510793704,-1880554637,-1975299575,1157687303,-1073084534,-454499211,203327814,1067378688,1632813915,1836016750,1836412448,544367970,1684366707,858597408,943077170,544175136,909586995,-1325389513,-1325208803,-2029996774,773753818,1511950592,-19233020,216550341,1008170218,-401902302,-1073026557,574360692,-1589840523,-851698316,-1073027979,-1975315083,118113031,58053002,1138925033,-1992091765,-402367978,-1891833385,-397342859,-346428399,1971600601,48779527,-823436820,440189322,225707914,-1552633540,-1586122180,-1653223938,1954692291,1971534998,1959657108,-375527181,-628643724,3022475,1511951187,773753092,1373275904,1494341608,-377362357,1948592826,139520008,2042252076,-561553883,773753174,-1018012928,-1465888609,78225924,1352638040,-1465728974,-1013032956,-1979524120,260719367,1513065027,-689418159,-259368958,-1975314550,797590287,180521563,-1023314490,19711626,-1070401166,-1057045958,-822152845,-242496770,121258412,1956529055,1927935452,1039657023,-51902229,-402396355,803752622,42592256,1361647545,1396901770,1526770664,-1975316598,911407,-388461997,-1017511333,-1779957328,53263104,1124567123,-1017440375,-1977436853,-5155851,-33060285,1958742721,1959148040,1975859716,1965178095,-390993917,1019578963,-32672468,1959395009,126503687,-176938948,-561553829,-628669610,-1259814518,53263103,512447152,512295692,61867171,-402457694,800734743,-1982186749,1526926366,-1686829174,-385871686,-398204638,-320274542,1048373249,-822163714,-242514572,81389740,58002748,1090889192,-1073025813,-1638399253,512446623,-628685988,53419659,-930426634,-654049355,1926904643,790530319,-628669693,1489215064,-1013005178,247111256,-385649408,-1069883190,-625389409,512446758,512295690,12256047,512447232,-1152187556,378209038,-633666804,1948723897,10283267,-1996234053,-1962652130,-1996269026,-1962652898,-1962715106,990137110,-1977912102,1128481543,323348560,1963146328,7464965,-796213198,-637337418,512482795,394986574,512479755,427033434,512350855,1128465486,1128470411,-637281657,72031881,-1209279865,1544981337,1977236227,7137539,1346570122,-118996157,1125091858,1480798090,1020855123,-1981975293,1526936350,11865994,-654059261,-1948612797,-2029833442,1960459226,667269572,180367953,-1639735545,1134499722,-1623749986,24485443,-1949594685,990064414,1926859738,-2023859213,-633645346,1457424222,1943636819,1482185187,-1018080685,-620012710,-1974732428,260721455,529156947,-654114633,-779422326,-1949594805,-402444514,-2007286624,797459215,-380905077,1397882592,77799051,1457424222,1592828136,-396960121,126499821,-1558279341,117592836,1929383866,-545724157,1526586344,1577076968,-396960121,-1957494721,-2029834978,977114,-1157624856,-2023876806,-380414242,1583087111,-1974018425,260719367,-1976595901,-20709672,-1023314485,-1951600245,1111599866,-1830227477,-1558279365,-388331772,-628686816,-1974278795,1255246581,512429962,-633666769,-1070462347,-654055286,53419657,-288504997,51125899,1261406795,994774922,-1980860966,-1023210466,1360756665,855619560,-1963947328,-1010824697,1360756665,1979706856,-413800189,-1961391293,-389829390,250150190,756976630,1494714371,-386043159,-739711489,-135780348,-873966859,-85447676,80013549,-561553879,-320318634,-402295567,65795553,1526708712,-402651672,548468181,-389903792,-393544468,-20578728,-1950583603,-2013057762,-838974713,-1343489675,838902760,-561553728,-1329034666,126505811,57853242,-1313159798,1374179584,1398495741,1127189059,-578142326,-654114635,-1461138549,-388461828,-396689673,-387318003,6744316,-225750438,-339400020,-1965389892,6088711,-838941186,-1729559691,-1243065882,-997828607,-561553762,695581014,986250833,1912648967,-930430207,-1054210166,-393559494,-359992462,-16717629,-1897331851,1137740529,55779211,-2010150182,-561553865,-397717162,-1092033257,-2007279297,-628636881,688120296,-1974379943,15254506,-318510875,-1326382360,376721409,-185341864,58048522,1357260521,738442728,-387126040,-1276626435,-1957483517,1577362206,-396960121,-1545016103,-397203197,-628621744,1364745049,1365575609,1360756665,1156076112,-1973921026,-1966539032,-1341703480,-1952288000,-1073042190,-1720400502,-1975318646,1066025775,11918730,-1054156541,1381099658,1457424222,-1958539382,1381194519,-1393390767,510986042,1959394882,-838974708,1515908981,-1070441895,1515871171,717589081,-20905273,1515832256,-838974629,-437530507,671293928,-401827864,1381185889,-1958487417,1545505559,1926904579,807308050,1943681792,-397190390,1398537006,1530511080,1457424222,738390504,183768552,-385649216,-1974409909,6744071,-335222702,-41228205,1499191943,1592298072,1398201991,1583679419,-1974018425,1958742721,705137296,-385649723,-1057037029,41075002,-846544502,11913726,394937170,-1975547325,-1965489190,-628663576,-1958539382,-1965390049,1975519937,-225721599,1107789996,1959394883,1976434420,-5061647,125053244,738357736,-386689560,-1020722582,1961858792,452867,-386067736,378272636,512426844,-873921745,-1615540753,-2041527162,635982788,-385649660,1482364893,1369359494,138170527,1743261813,1958742563,-389480935,145761123,154941675,548409461,-385889560,119808846,-1638337419,540853081,698359922,-387413504,-973200582,-838988940,58049850,1946186472,1962884105,-390005243,-1638391001,1481678681,578611358,-390738493,1031013308,1930933992,1397903859,604321440,87466696,1528351976,1805670746,1958742532,822798595,168095648,-1157139264,-380432664,1364394221,120437586,1515127528,1527623769,554887363,583854275,-126566390,130419691,57337856,1963062971,-1330197241,-13768691,1946377192,-1010814461,-1394032590,-1010814430,1587591117,1975519744,-991378687,-402426369,-1863777828,-495065087,548399187,-1326964364,1975519999,45109264,-1946579992,1510157598,-790030455,2078822649,-796239623,-1141093656,512294918,61867171,1526922146,512447427,11862794,-654059261,-1020647760,-5187446,-125122790,-603781518,-1023315109,2891403,512314187,129631045,-623580928,53419577,1381099891,-100210605,962157147,1929588510,1977871322,807308246,24766464,-1576770398,1034027838,1124567043,-1992095864,-855418850,807308206,-1345500416,54206089,168060320,840398272,73245376,-1258005342,56671002,130461901,-838974716,129693813,768768,842516200,55550656,-125118326,55385737,55975561,50994827,168061856,-1996196416,839069470,8186048,56106635,56237705,56368777,168060320,-402426432,916460980,1963009029,87466499,740199257,-1991554304,1124287774,-1951281853,51297251,51125897,-386403352,-1070405942,-661981046,58465929,-1996206686,-1996233698,-1996206050,-1576830434,1364394809,54206091,-1009108029,-50623650,-1957255634,-1979025953,1916419079,485081857,-642586143,512481927,292814896,1390992007,1256739810,1524206556,199820146,512314339,-628685986,-16943677,1963584448,58039543,-1659559960,54730377,-1996288325,-1157428194,-1957036276,1392520734,583240348,1958805191,1411287308,1126075139,1444841731,-34215933,120765341,350815092,-633214502,-1336930384,-47585186,-398457768,-320209629,1444842493,-1160049917,57999377,-1948695063,-1996270570,-1023398378,-1564462408,-389872522,1397885128,-402362693,512439819,-2023881894,1827165918,937971948,-1377293057,-393586680,988569320,-385649467,-2023827192,-628664610,1511951187,1977236227,1583045139,1381424775,1530254056,-402362694,-1017432629,-1327405335,54108673,1963488232,966939635,-1963095549,1229539801,1236070795,-126304246,-637318839,512481927,-633666724,-1951599989,1117760249,-1639866466,-1958088587,1545505241,126507779,-1217057732,-337648920,-997828426,-1966908514,1916877831,-178569991,-34674237,742194036,-68679308,-1058518048,-387025697,1949105810,739675112,1949056000,4712451,-542513077,-397511598,1949105786,3663944,-543561653,904463220,-561553704,-289713322,1943681792,921197357,1395094016,56106635,50336953,1943682009,-1982167271,1526925854,2891401,-392762533,-770968848,-1729559691,803849184,739675133,169224960,-1950684413,-1950209085,-1295137840,-383874221,1541081860,1311769027,-47128272,1529868591,456142896,1444842288,4909056,-339541644,-352210940],249,[-1560301566,-1057095568,-1224645144,780289,199813237,6219807,-1597784014,-1019608996,125040756,-1070409590,-31525399,519104963,973101984,-1327270717,1958951425,-372506915,698359518,1959213568,-372769071,512433874,28770395,5774985,-1960917527,-402631138,-1233846263,-1979700832,-1329206280,1959213569,-372244823,1537220266,-1594324480,-662044580,-1770862806,-397360898,1486880921,985923072,1942748867,1925659149,-1342016247,-1563886079,-27787176,-385649208,-555220989,1537262366,-1596421632,-125173668,-244137174,-397360898,1486880895,1925396992,2026322448,649475,-5242251,1487061246,-922855424,-1142304908,1528728350,6135808,-980752246,41141050,-952444790,-125173133,12044170,-1057045718,1342206650,-637281657,-2008873080,-922860793,-628622987,-1564462504,1503789144,5939712,1358900201,-1258276888,-1966568959,-1426420795,-1393390774,-930420342,1976106584,-347028735,28659946,-1979705368,-1949988152,-1958565126,-376787726,-27735926,1357018312,-1168905237,11993204,-637285378,-628684918,-1010818469,7649875,-872546121,126409219,-1017390457,1105766093,1444842241,1478396160,2727936,518766846,216547248,-400510726,-1070401017,-855627870,18802855,5643915,5774985,1520617354,81913856,91540478,-1343749712,588048639,-400342552,149429156,590932003,41229116,-1073080912,1911030645,512446492,-628686760,5643915,-1036336246,-947251595,74696250,5774985,973101728,-1979354169,5939911,2746456,-1250686350,-402522648,-1377044077,1962476348,-155454207,993837825,-118883467,-29144100,787642569,-160102598,848608195,-320336207,-385648129,844103687,7512768,849525592,-655881039,-385648129,-1974468576,-792720703,852003520,-1142388032,-654101842,1125616174,1480034862,1444842322,540852992,-1071512718,1946631363,1946762489,1946893557,1946959089,1914453229,1914715140,-1010814235,84279821,470551299,236920349,168367487,100798984,235733765,889132415,885666902,867119929,891630855,872494413,854799479,233321409,1489532157,-138674507,-113121279,222037896,171708788,-980810123,-311099844,1976434243,852360936,-1157134144,-1597832714,-1073086350,1642609268,-628666114,-2030041146,-389808422,698352425,1959209472,1354825227,1476457960,-143275778,5643915,1493056488,-1070413686,1118501515,-91504246,-1010814294,-1073083728,39512259,-1258162246,5808382,28820282,1962944928,1478396691,166220288,698374910,-1610255360,-922877862,-402629982,-980811204,276086818,-34674606,-1224116902,-1597768191,-454361047,-21964153,-259340758,1007127115,168326176,-33065536,1258517710,-968626197,-628686841,-1219490384,461170689,-51901008,32947191,851704152,33006272,1979557864,-339476988,-352079625,-20477219,83371208,-1967063544,2728168,41141562,-980752246,167801504,1975880384,1959213580,-386364923,-1070458058,1959209667,1352683771,1370112,1492626152,-243939074,7512259,1923272950,-1010814464,1444842323,1923108864,1958742528,256003,-1597809832,-1019609000,-1152184203,134086746,973089184,-2013105401,1352686343,-389510656,275906959,844160116,-47650624,-420953090,-872523775,28820478,-1605114901,-952500183,11996021,973102496,-33524285,-389546301,1398472713,840609256,-1329374272,1959213569,-338690556,-872525036,698355316,-386364928,74841296,1457424222,445179995,973101216,-1609927229,-922877862,1520567156,21161984,-55646125,-1006759563,99090871,-561553918,33286230,1541860187,840586728,-1847016512,-1609861636,-1019608997,-1006762892,698413291,-1594324480,-930480048,438495313,1959788121,1958742538,1958820595,-20447505,438626503,-389824462,28770452,1394219496,-402632544,-27590227,2728135,-952450818,1105784181,-1213893124,-339476991,-1564462366,149618800,-400955928,259129674,1946173672,-386798651,1005066710,-402164991,-1233911759,-1070403093,-1564462397,149618800,-400966168,259195170,1946167016,-386798613,333978030,-402165247,-596377577,48820715,-1949046016,-402631138,-864683324,-1763114569,1444842490,-85989376,698400373,-369587712,-872482150,-1041758860,-17337093,-1605254205,-952500134,1743264370,1501209,1118501515,1457424222,-2023829506,74733278,-538195970,-1073036455,548405877,4581571,-74782640,576198004,1022457024,-1595050976,-1053163440,-1047861644,1489223714,698401785,1959213568,-389546471,-28114748,12314831,-1597505957,-1057095639,-344602822,1352716286,11003904,-397323325,1348010148,-1696022134,-930457600,-33543776,986185408,-1964542521,1405311937,704666784,1949266627,1528728354,-561553920,-1014344874,-1610589278,1554120797,-94705664,-561553829,1528727894,-1219273984,419031041,-385765285,512490246,-872546218,-1410858124,-100734952,-1010041253,-76402628,309475900,-210616004,175266620,-344825540,41057084,-1071463431,28791747,-1979700832,1709724136,-12822248,-939653004,-243937794,1398522715,-1528299081,-373073128,1240012867,2662936,54992523,-1021130998,-628637442,334227572,1946285755,1134361057,-388860439,57989500,1540977385,55121545,1926461672,-633542397,1128520075,1128470411,-388331693,-1973735858,1946762247,-400510971,-1125583721,33012712,-387405336,512488791,-872546218,-872543884,904398196,-17337094,401664195,1020371177,-385649654,-1957432213,-1979389666,1539508935,141888176,-401756080,-1017580457,-1326165272,-196220915,1271073456,1977073384,-1880571135,1538862326,-927968969,-1070464277,-1979516254,-390869745,57931721,852508649,-1561818432,-1975320434,1915632647,1007514690,1006924602,-402296016,863172523,-1252923254,9353983,-973176820,1118501515,1007127107,1006924602,-387091664,-395053173,-462148036,658294154,-169278606,-1901962801,1007127040,-1172409562,-1236125693,1948597250,1019674244,-1023314652,557631230,146209140,-210492612,616663640,-1227847041,532370176,-1965423869,-1974772937,50045638,-1596517656,-922877127,2062091125,-385648639,126484496,58009644,738250217,-385649357,-1070464826,1392720290,168054176,72000192,512433780,2126119804,-1982201085,-2029761762,771221978,168053408,841249984,72000192,56237707,72031881,56106635,-399647511,851705604,-1963947328,-2023859760,1539528414,1457424222,946518610,-411772357,991550138,1232362202,1457424222,-73379501,-1595373054,-989724530,-930430722,1090565457,512442689,55771996,-397190695,-1990513639,-1962714082,1511950809,130435843,1977236224,931683064,394877507,31320131,1531107975,-1564462397,-125172570,512350346,1088947363,-1157138974,512294918,-1017445213,-98661549,-561553918,1391495766,9353809,179106443,-2026015552,-805174054,-389510440,-1047858237,-1975316598,-28228817,1408595400,1342213792,686348935,512317655,73072821,1507381250,1261406283,-922873976,512488821,149618869,852953832,9347776,168058016,185103552,-385649198,1498021983,-1631287720,-2023826809,-2024581410,-1967063334,1007127280,1015575596,1007121449,-385649571,-1662464448,1377733077,512318211,11666170,1393027922,1355056799,512476294,-1343683750,49979436,57982986,1489903849,-1952529274,-385649205,120204117,-1729559691,637440,-1597105687,126354171,-1227847101,-997828608,-385649250,260571338,-399538109,-1975320365,-218765112,512312131,260571953,49979459,-1047867184,1352601458,872701088,-1245148661,1939757056,1100962052,-1626371938,797459280,712697923,-922837416,1352653429,-896864630,-637281657,-806812813,-220403470,56368777,509515,-126494149,-1975402446,824085488,-2028500477,64685018,1272612825,1125615947,1922979907,-1964471738,1124567752,395008950,-2023865533,995120862,-385649958,501808975,1490682666,-880031490,-73342091,63671042,1912876251,182125320,51082432,2059406043,190723,56219907,-1948612647,-1023192546,1539316473,1124567747,-1979665071,1507394504,-1621995069,9353808,-1968377205,-1949958424,1128443122,-838989944,-1638337163,-389850790,1793645658,-215947223,-1948612805,-352017634,54173706,292864010,1406830426,983744562,-1665073661,170887762,-385649211,-1958488737,-1977292001,45175765,1011025802,-385649316,540803485,-1040316811,-327823874,-1326806437,30861404,854622952,-1966044480,30075120,126546058,1965112387,24111363,1383342908,58009148,-33464087,-385649203,725352750,-646707024,1124567627,1433677372,58023740,1006712809,983331932,1018590471,1008235556,-1968278230,37503941,126485618,548414524,-838989195,851362558,1125123264,-972897538,-1023479670,-838991695,126509428,1949187139,1948466206,1965833453,214338083,-336557504,1007127265,1949216803,-10098429,-29163087,1959657153,1124567606,-210492612,1005894226,-1963488686,1952333011,121291521,977533813,1140225287,-243988678,751143491,1525314052,-18314662,65749958,-1973757305,-1023521850,477431844,-980759810,343195658,757860234,-29620620,145754741,-972946428,-838930294,1702141275,48779857,1364810459,-1964340653,1019282117,-385650151,-963980253,1558741004,-361240517,-655864997,292878802,1006844578,1007121467,-385649620,-991376536,-628663854,1385976667,-987101302,-1979664829,52399056,180718298,-385649472,116129453,-402621464,-1654919385,1491665780,-402426882,-2023821337,484988638,65625068,1575535576,-1966211584,82330375,-1312101393,-1325012224,1476520705,1172884990,1956469504,1860719056,662694106,-1957473959,-1979407586,-1979665943,-980791099,57982986,-387145240,512485860,173540515,-385649216,120258398,548464778,-838941186,1340670837,-290330369,-1974405909,-1329591610,-402426837,-1017581917,53812873,-387453720,-628633073,-1627363608,1151311428,50886046,-1981576231,-1962719970,1392520734,53812875,686510675,-1981217932,-388331574,1735721023,512353163,378209093,378077230,1128465498,1128470411,512302987,-628686802,1406782696,1529316584,-1313273484,1374259712,-1949205015,-1996203490,1526738462,1877563737,310225,-1975264253,-2101787897,1975597568,1095943,-286533373,973124025,-1023314751,112793401,66614272,-1159992359,803799070,121301194,-781326261,1927828852,1827165145,-398625571,-1947716854,-1558279192,394937092,-1959294397,540847346,-2008938123,394808119,-401605045,1264314588,1959869160,1950039074,-267851771,753421100,-399724335,-1158943313,-1461181776,-390403859,-1595399504,-388502547,-1947603353,1403571670,-2014776694,1007252481,-401640390,-143064706,844879498,-839077696,-963984469,-922828246,91423292,1642704077,1912945865,-916788989,-1974381991,-1159165240,-2023866724,-1974249762,1918974983,1937456134,1361062914,-225711990,1111731246,1968817466,1976172053,787647458,2025851564,452867,173693787,-1073036352,-225711240,-1073042386,2040414879,1540197109,787647315,1975519916,-922818122,1145198923,1380144127,1347223118,1140666708,-63876287,-1856472320,-1118263464,1403637080,-997810350,-1161525680,-637337554,120258480,-796213246,11971277,54440379,394931930,931802691,-1631287720,12048522,-1976641021,-1976679657,1524270903,1457424222,4547,0,0,0,0,0,-402653184,-397158383,126544268,1333051402,1125616195,-628473974,-1070411638,-402194526,-2036334885,-997830460,-1241190215,-20775413,-1974635318,1914715143,1949187110,-1426486488,-822197439,-2040993419,-2036359484,-997830460,-257888118,1958804996,-997828602,-373072994,-347879384,-1576947510,-964032769,-277607620,-344849604,548465780,1101724043,-353644802,-108322640,-822197846,-1158941067,-29161590,2062074826,-1596421409,-1019607841,-370605197,50378695,-1948612645,50651166,-1608545318,-1057094346,126540660,-713768950,3062355,126540291,91425084,-1058415411,126507975,-1007042550,-818550709,58008380,-389075224,-2023825622,-397191458,58064811,-1983407127],250,[-1023088354,1360304313,-1965613848,1965833223,-1847045287,168266472,-385649216,-1958492292,604473887,1006744287,-1307216823,1951349762,1006940687,-1308003246,1950432264,-950736637,-1343729061,591146221,-790101131,-556996402,753770984,-1073036662,1038680949,-1293397817,-1973856002,-371339823,-1444413309,1007127294,1963242114,-827987879,28476732,1329352052,1228677236,1810380660,1743274477,1676169453,1609060589,1541948909,1474842349,145900781,2028481771,-313726770,-313989035,-314251180,-314513328,-314775467,-352144812,-832706543,1122841064,1307389416,-397729614,602459727,535314925,-1974316051,1965243399,-834803709,182335976,-385649216,-556939600,-1974775116,-836114224,-974584972,-561553722,-1614640554,-2041527162,-1662495804,-385649410,-1973762411,-855032634,-385649697,-1185692029,-654114770,11548552,-40769189,1975519827,87465994,57934116,-402438423,359988843,82386569,1929556051,-42866429,1357504717,52750534,834294619,-1998978304,-1963423225,-383874600,117594884,1526728646,65796547,-1614794227,-39851952,-1638340147,343167135,741083018,209043466,-389179672,1481829482,1352661406,-1070444385,1424490930,-383874049,3258628,-1638344445,-2145075174,916586764,-1617012731,-1564468656,126485743,58310666,1476450537,-402426722,-1070404777,-369218328,1122551557,1273679357,-1295169816,58063232,1946515944,-334436328,-1303364564,-402229870,-335950545,-335484920,-1296037311,-1974427902,-1576000318,-1638398878,-1057075041,838885282,-19011392,-1957454248,-1979389666,-2145101049,350815093,1676170205,73572577,57982986,-1962640920,-1996269538,-1962474466,1392521246,82386571,167823080,-385648192,1307115542,73572549,57982986,1527030504,1654833202,-20387580,190555,-1595349013,1979464704,437119235,535423949,807308229,-390067712,1189675011,-397369600,-63176573,921240437,-845260774,-989795860,616799832,73638432,58039896,-389746199,1671490167,73703940,838904808,-51255104,-1988098106,-402331362,-1073086389,-305286280,-1597713431,-1073085340,686293876,-953686012,512312131,1525154648,-1564462358,1139279158,82813182,57982986,-372508183,-628636220,53419659,-633611641,485005426,-1564462358,-337050314,-1957538839,-1174083298,-637337554,1532626826,1394505155,649744465,173101635,1498989504,-260454146,1532609371,742131594,-454494347,126505419,58008380,-389293336,-2023826474,-1168943394,-112049362,683271167,81764417,916504555,2025851397,1093188044,-543113166,850324228,-1964471616,-63838011,-1610610746,-973208353,-277625558,916635698,-376051707,3153547,509515,1539562473,-1631287720,-1622060461,-2041527162,-383874108,-402214908,-473104379,-1614550039,-2041527162,-628665660,50343611,-2029548838,154950362,-890698893,-997828608,-561553762,-454468778,1381192186,82386571,-823654224,-370881025,1532674996,820560729,-368777013,-369039324,512447272,-1152187159,512294912,1583023337,-396960121,-1974281454,1965833223,-888543221,1543228904,126533682,-739749729,-1638389271,1457424222,-1014345569,58048522,1405888233,-2015229976,-1638376998,678711455,1021843176,-2011991037,-906083577,-1638339467,512318297,-380566295,-1638342093,3022475,54992521,-1022957221,1946118888,-1020204797,-439495189,1392513768,48759221,851663616,1124567232,-109720066,-383874109,3389956,1489230339,-1013005178,1979385832,-1023743741,57871024,-839249175,-1024529946,1979380712,-1025054461,57871536,-839254295,-1025840665,1979375592,-1026365181,57872048,-839259415,-1027151384,1978335208,-903878397,1206435890,-381504772,591184626,753446261,-385554214,1405258284,1543176424,-1178400886,844180972,-64689728,-1177149720,549066395,-1977912020,-1189614634,-397339496,1374224332,521922802,294304082,-259342286,1364250762,-22681517,1810432883,1965046978,-20513274,1022260686,-1978436318,1019382504,1975880236,-1963619831,-25040683,-138718350,-1962953471,1019644616,1958840866,1393376302,1012619636,-1977322230,1019382472,1958840876,9037827,-27924397,1009152603,-1978895091,1948269762,-1339278315,168784909,973829312,974025926,-401967934,-397213597,1935408687,574378930,540804212,552084853,1008759550,1022850080,1008235564,-855345907,-1961855775,-1979389666,-401428280,-489816611,1539425257,-1157625914,-1031142922,125050924,1726480565,-389850144,1352652087,1489578728,1934663582,600107011,57843288,1529070824,1958742723,1124567291,-193606146,-389682343,1621229638,1958804992,-1046550269,45240659,1543161576,855391208,6333120,-386131223,-1073086426,-1057093772,2112422773,-1563885887,1364394080,28491826,1543151336,855387880,6333120,-87234213,1392030952,-927340469,-1341950630,-397229311,-399710330,1263665195,1976084200,844781829,1944634304,417869031,-628664064,512350467,-628685052,-930486197,636027764,-5219647,-796399421,-602806189,-1009088678,-1962079303,-2030030818,1478396890,1977236227,398181121,46369378,-1965520191,-1979706169,-1393390600,841925930,1991987207,46369377,-1965520187,-1979706169,841898232,-1950285305,-29185286,-1325238839,1976434187,-351423044,218872248,3153547,512481927,-633666728,1992011636,46369377,-1965520187,-1979706169,-1393390600,841924906,398151687,46369378,-1965520191,-1979706169,841898232,-1950023161,-29185286,-1325238839,1976434187,-351423043,512447417,-947257298,-27540702,-1023314752,1688227999,1958742532,-923408125,-1966891432,1967143943,-944904189,-1979711303,1020365557,-1977649942,-1664140281,-1729625227,-429070137,-679548888,-429594542,-680073172,702963176,-1957454503,1946500382,47875,-774306913,-690905378,87891593,87498377,512478091,57935163,50331835,991857114,958302469,1541048069,-339725629,1342418946,1493148904,1392520936,1929586920,41936902,1526879720,-953030461,1409256680,-1157425944,175374335,-402495256,-662044133,132645047,-1329374435,-1974316797,216550352,-401902393,1009575390,-402426836,-1031088386,46262355,820577139,1499093960,-1949896727,-1979369698,-1967052093,449284824,1945668293,717238981,450398915,-1966921017,-1950090760,-1979369186,-1966986557,449284824,-336033082,512447454,-628685511,87629449,-253181093,-1957604353,1577400094,-1990795641,1493514014,-488062117,-397258242,-387259030,1994981101,1952013055,-446896045,-447158228,-385649342,1340604512,-397195547,-1041759651,39315711,1946131688,-5642237,1927828291,-402426881,1396965295,1510055144,-397323687,1397752027,1776867975,-396862718,-119013161,1230657792,-1056258678,-1017388171,-397192623,512426053,512296253,512427319,512296251,1515914553,-1957444775,1392851230,-388331694,-1990459430,-2029700834,-3086118,958302555,924748549,-880062203,1543487976,87498377,-1209480309,-842834945,30402744,-385928216,250085833,-402426881,1397948200,-2013338392,1240579034,96142195,-561553846,1943681878,-48330476,512318214,-709163273,-115439287,-338000122,-561553898,-115439274,1238743814,116858505,512350855,1515915005,-81884845,13887494,99111514,-381593344,-964034016,-657407990,-1031081846,-796206896,-216101949,116760582,-216102461,116761094,-216101949,16482566,-2130087392,-1994391317,-1022954722,542163841,116596361,-216101949,16482566,-2130087392,-1994411797,-1022954722,536920961,116596361,-1967027517,-771730162,-1979255538,-1023315256,116590335,-1967027517,-771730162,-1979255546,-1023315256,116592383,-1077506877,-946948096,116596363,-1979217370,570881302,1427016386,1927991808,-337063420,-1010397448,12568204,-1949856072,-1962478818,116760809,572969206,-166819321,-183623162,650185222,-846526584,-1950103922,-1612000791,45210251,-754720045,-489487183,-2130414690,-1994391358,-1962478826,-154498347,16798982,128980084,-2135898078,-173872942,-754732794,-216661526,61915910,-922564574,-388841296,-1324943966,32166658,-1022954730,-956282720,1678064390,1946565632,1008497426,-971476476,33576198,87885511,-960298848,16798982,87885511,-960298688,21766,1929657539,1426519567,208929024,-654966492,-133761374,-983701053,1437664036,-157097482,-1597769722,-1073086379,-318051468,-2135218312,17204226,-1157401600,-885325504,1258517151,-167064693,-92205960,74580168,-1023359046,-768359522,-1614203965,-963843861,-1900543809,198413255,-1955826478,637989662,-174051446,-153056762,1427016400,-165770752,-1964498426,184230652,1081363183,-858601262,512487283,-2010773773,-217645265,-182024186,-775255290,-152448535,16798982,-494860683,116064259,516737,-1411126831,116826364,116604555,1049209587,-1679096077,116596363,-2010150874,-1912146650,2145960902,-48888834,-82429178,722039302,1040644886,116987647,-149487810,-1008475642,-811341741,-397163685,-1017439961,48,0,0,0,0,0,263454720,1218580685,1009300480,-1274187262,1963408464,185383175,6819465,2696840,-1982100230,503533598,-1912602438,270436826,1295301381,7085705,-1990769477,-1946128354,-1946128882,520122894,-1157614872,12124696,-1178497536,-1943666566,637534863,1284769735,-536558717,-1898214159,-515315517,-855526149,108521495,-397632581,1676226271,1290649138,-1190767685,-61669366,126397486,1975519811,-1014801418,-1007689712,788479695,1422591744,1226859880,1344294210,1869836901,543973742,1886220099,1919251573,1935753760,234840937,1936876886,544108393,808333635,1866670128,1769109872,544499815,541934153,1886547779,943272224,917297,1093481778,942502512,1397312561,1375739988,872021,1145130828,1095958562,2245974,1414418243,573308941,827609164,860730,1313821268,1381236749,222709327,1497713408,1129512992,1313162578,808202272,864300,1377718428,-1912602438,270438106,171632645,6952584,378063614,525992030,1456446808,167796384,-1609468480,-1073086358,28576373,11540173,-922877324,1587594078,1958742528,-1564462584,61866078,-1604888893,-1073086358,11826293,-1073080627,1583285108,-58698813,-2147126725,1014121980,3022475,1977289539,1312078611,976100017,1124889639,-906051330,-1070402443,852749147,-1948200732,-1618268456,512295171,251527275,-389021590,244072708,-521469843,751076944,-166677701,106150883,133617667,-864790273,7020169,7151244,6950654,-28111637,-1576569400,548405354,-987843861,-1979684066,117382919,-1073086357,-1602682252,-880016972,7216778,41148218,646499582,2133065834,1599834741,-12916386,539897886,589439250,639968279,421015858,337580816,756100886,1364405269,1315749462,788270769,1960852140,-906082807,-1070402443,-1406270741,-1017423522,508037959,474815819,169615184,41092724,307364214,240090963,209126773,471670303,168496141,1381061532,1946631248,1963801677,1862727178,57999104,-402617368,74711596,963968828,578030652,-1186035781,-29163512,773617865,-160102598,-645144112,1364126137,-508035282,1444842287,250135296,-401675516,250085438,-519182336,619185131,1499093001,1354997083,4800138,5119626,-1275067975,1477496073,1911051203,-1579008,-397163685,146014312,-1017442099,-1962937368,-1010005272,5643915,5643913,1307071388,-1013097728,-33532000,-1974418488,704653582,-33532146,-1979664959,-1979692738,-1342157026,-855002080,1444317968,-17660416,-1261764914,1477496066,367547331,1228835328,1327401472,688818688,-1342130944,-855002080,1380997904,-226045045,-889270530,4800138,281871028,1405311066,-1979666094,-386692369,112459803,267063501,11620947,-141890678,-1275065624,-401552121,1532624924,1173699,2692746,-822162690,28364286,5193354,4825283,1252000747,17229824,646586485,-58720184,1377268743,-2146959174,41026300,-466426160,-1910578441,72262618,-1664919009,-1169141165,11796480,-990505011],251,[-166824672,225772740,1946273014,-350703091,-350506490,-384191998,1347991486,91557180,-823653712,1532647679,-1824734307,-1791205260,-583252364,-471316876,1958742734,1019805240,-1171098870,-487194608,-1031679862,-397277613,-399712862,-397162799,260757580,1913649536,1125101826,1599813515,-67062445,763929843,1526756840,-1075713597,49020848,104464560,1906442353,-402426880,-1863843746,-1101806658,179897939,1455816192,149440176,-578137637,-1410858825,-400510956,1582947067,-1392750250,91537418,-352316440,-401755915,1582947047,-32455037,1540257225,1012318443,-1342016243,-623777765,-1605319842,121372744,71042164,-1070464397,-1017593846,-1230123693,-1979665896,-1275049666,-1609511678,-1073086351,512365429,243925071,11862057,281872820,1543376360,-402148413,158728128,167791776,-1291684416,106151536,698353077,-1339540480,-1258130383,-1974251510,-402633186,1448804407,-61798735,-1665135956,839021910,2484416,24485214,-906077874,384362613,-964469248,-1057073136,41040444,-838979408,-1343699083,851663869,-1073065024,548406901,5185162,41225532,-1185866832,162791425,-1023536947,281871028,-1966908583,-1258272498,1210485248,29685248,-847248524,83656832,-973207182,1913060480,1371930114,208940092,1506632168,-397285238,1081392476,752627176,359935036,181226984,-1342016320,-444573312,1374161411,1958559720,-602871773,1949056044,-852432884,1372097113,1958554600,-604182513,-853481428,-346427254,-1101666042,-1963881895,-1979700954,176104645,839546048,181799634,-337218095,687636507,-25162636,-2133167356,208798969,-25111573,-2133953784,-915207943,-1073032822,1048584308,1946615880,1007071580,1951446018,-30886870,1976106697,-2134509908,-906093195,45160939,1948843136,-2134510071,-1040315020,-906098197,1971373558,-2000028158,-1593824986,243793992,378077256,-1053163447,129505908,4956928,1302578310,1327925248,-29693952,1336017780,7268352,-1275049312,-1022309115,2688570,646591604,1346109512,675022708,-1729559692,133988541,1353712757,-192930581,133988354,-855768459,2728528,4728456,4785863,770179072,1405310976,-1292051736,691961895,41166848,414601138,5193354,-1979711303,-855198527,47632,4800138,281871028,-1185738773,243859456,1218445385,-855591936,-574756848,-386022936,-1645676662,-389850116,1534393764,1371406513,1212055552,58000896,-1967319319,-397322708,1081392084,125054012,1506527720,1498540170,-108375215,-8331894,-2146929408,57805051,-1273967744,1527827723,1958456296,-1146755069,747134553,-28964748,83460289,113687922,-1023410097,-3973543,-16757450,1006652214,-401574868,540855166,-1973872525,1978159560,-399739717,1009572422,-401378260,272419686,-1662450830,-393586244,-1151670191,736629108,1340615898,1930443979,-1973790231,1498501840,-2131654054,243863526,-980811701,270852304,-444546550,-790245369,-790245147,281147109,-847248524,1408109184,12048522,1302466340,1311672320,1328449536,-854871040,-3974384,1006655030,-400526292,-1073034502,440163188,646600563,-469106575,423363700,-1973793933,-504868144,-394562374,1009572274,-401050580,-1073034542,646591348,-533069783,-1973802126,-1041739024,-10783558,-402626506,1009572238,-400985044,-1073034578,41222320,173613232,-1578610200,-349342534,-1143609085,752446952,1019908584,1509061408,169928064,1372097256,1958380520,-648746993,-898045908,-646766532,1372097113,-444575399,1745783055,28596480,-1990586163,-2046798314,-19988750,1049252810,45350985,-1017442099,-352276400,548425731,1347637660,1492794856,1745783643,1913058816,41221888,-401996619,281870772,-1017602727,0,-1,-1,-1,-907502512,1397454075,-963882415,-1912602433,922691271,-14286724,637566518,8128199,-1943644936,-1912570354,42053830,-1291816442,1228835459,112896,281872820,12568204,650612224,8259215,2080804646,1522961920,1486707545,-1178736445,-385853792,-1259800974,6678713,1450569226,-385160694,646598772,-499515351,-109033358,-1606192358,-1073086351,-109050508,1396142873,-822152822,1049283326,45350985,146018509,1348145357,1018787816,-1341885396,-402134272,-399714238,-397358746,1479137338,1951973386,-372995582,-1863715310,387258,702031336,-668931901,-919410648,-669456302,-919934932,954778457,1955937465,-670504952,-339725603,-1188435963,883097520,882950912,1958742528,-920917968,695405116,448419411,-466464170,-259268399,498401070,1532937046,1062614211,1280722518,1918266198,-2141816746,-1873377194,-1171920554,-1979697733,509447,-1946837015,-385861858,966790854,-175314688,281871540,1961101904,975079692,1009682432,1058441472,-997566464,-789133058,-1946848279,-385861090,1017122458,-178198272,-33538400,-178722368,-33538656,-179246656,-33537888,-179770944,-33538144,-180295232,180913384,1007842496,-1269533948,1102795520,-1965554944,669604615,28988405,16890114,-100659269,254078190,-102644934,-1020130333,-28253814,-338152761,1962871532,-1143502310,79233089,-722053120,-388963838,663224947,-17309117,-68651574,4300891,-369827351,552122719,1955937464,-688855032,-339725603,-1206786043,1168310192,1168163584,1958742528,-939267874,-680328132,242483624,-922873676,1085538932,-385822488,-1152125780,-1073086394,-1975320204,509447,-191174309,1448431772,12197463,-1898279424,-1593503714,-1005977498,251595124,57999462,-1610602520,-1073086412,921174900,4562944,57982986,520120808,1482514015,113692573,-1593835419,-1073020826,-95283084,6620918,-1173916161,619446369,113766140,102,1405311739,78926417,173019341,-1995672348,-2013251042,-1996473298,1476411158,838874784,169440452,908495076,-1995344896,-2013251810,-1996474066,-1342161642,3515135,-1017423526,4635475,1962950528,-401558521,126353425,4161603,1085540213,-2013264664,1388534535,-335412806,-922827742,1522829976,649411,-1174023240,-346947580,1712753464,1962019328,1694942727,-236192000,-958469949,1915091587,-1075293678,1911041237,189946314,1510438354,-369148951,-790054893,1227519,-147530568,1694955249,141950720,4438608,1492039344,-301972806,1978582154,6404615,-301789972,1712752986,1694942720,180551680,1497451866,420501776,1494243674,1494243600,1499082000,1297757200,1158699329,1494243674,1494243600,1494243600,1666866448,1497451866,1499102224,1494243600,1494243600,-1441769200,1851437402,-1424991909,1499197531,1813010704,1980782940,571496796,-1675463230,512316240,394790121,-970079357,1128464391,-968675448,-2008875001,130433807,-1655153920,-1365710397,-2134680744,41255162,1489175218,1503577222,1522752346,-2084349605,126496451,-1950101258,-2096830178,-1950143549,-2096830178,-1950141757,-1979389666,-1023398009,-967747754,-1526382842,-1090195266,146343232,-492504064,1583307261,-1152298045,145818944,1965047680,-906083571,1556018805,88653573,1421742315,88129285,-1493432143,-906090635,92993909,158598202,427147274,1963001078,-1962636780,-2012944098,-1157615225,250108404,-339725824,1509866247,-117439256,1405311833,3022475,1960512323,-1144825086,1129514323,126486705,1140119016,-160052738,-873976144,-1014801420,-163270647,393535751,133583024,-1341098720,-2146961854,1102055797,1967130614,1531817986,787785192,172165002,-1007323712,1970226720,-13736850,1394606093,1886415211,-13736859,12124173,1376684032,-387272699,-471204163,89308158,130418570,1975519744,-213456891,-487997430,1376684286,-341579515,-1963013912,-1325389522,-387076096,-1209401711,-2041554690,-196810556,5705354,512477694,-1886911255,-1427570638,-997828354,-1963439639,-1325374930,-23861248,1659399600,-22025986,-2013240416,-25106169,-997830568,-385874968,1793654401,6536181,259263804,-397211650,945553045,-1341689337,-957879539,126484487,-1996587800,-2041003257,6464196,6398147,57982986,-2136151831,41286626,1369571762,-1564410363,-896924336,-2139037312,452264425,-2132705079,1947255542,550076419,167796896,-1325239104,1976109569,1594291721,41221888,243810481,-4913848,-756520784,-400061699,-990446034,-166955775,58032577,-1342165016,-400561153,820510771,-1946651906,-167450338,-2130693753,300419701,-972721407,348166,1638007216,-35133440,-385808442,1069284794,1161477,365757364,89373635,1392513465,365757108,48825203,1587567361,1975519744,-1522565114,-373037451,1637919785,1958804992,-1564462581,1621229665,-439490304,82386571,3246070,-387287679,535298107,1407380225,939549115,-1962052313,-167450338,-2130693753,-1023314597,-1263801879,-1840897,-997830568,-385874968,652803405,-33060864,-401902399,260635997,-44570429,1404768138,-33508091,260587977,365757364,-956480280,-389873401,260767037,1404764341,-1009188091,-1628962380,256255,-1594026775,19662160,-1144848013,126485841,167774150,-1023314752,1929382632,1342621191,-1073086459,-3938109,-1040316534,-1996686104,-51386353,57937722,-2134654966,-579534785,190544,1404814168,16824581,365757108,1403000178,-53745659,-823654520,17286908,1962526974,-2134640639,91555068,1877547186,-1423578709,738545824,-373286399,243796115,1525220689,1594279657,-1991049216,-1962586850,-1996271594,-1962587370,721880078,1225689547,-397258491,1499135652,6332507,1946599434,-1262318078,118869251,-1174369816,12124165,-42645248,-386239158,-1094516618,-1937046189,1621098506,-1665136128,1343059281,55988563,-434706215,1482381662,74776892,957579,1958742534,211061518,1959329280,1343654660,-1262318077,118869250,-1655106958,512428917,-654114768,1478396227,-444536573,-804919216,83656792,414319989,-374688279,-397694357,91599347,-352295776,-1041700861,74825738,48955824,1688338608,-840922624,-607272171,-134091783,-1952648309,-1979407090,-1564396861,-947256153,-578100174,1939734322,767755015,48955649,-469056725,-2143482504,-1961528832,46433246,85417449,192479360,-997990773,501213442,-1577025531,-1514470234,-2146467836,-13443445,-1014969472,54068934,-641275776,-388330669,82314986,1579059653,-400510716,-396636389,393523552,684732904,1389996008,742131594,1290274165,-386798671,-1993748450,235092766,1348331960,55588607,73283327,991857611,-397163773,1815872782,1279003252,1899759220,1362887284,640074587,640034342,640034342,640034342,640034342,640034342,623257126,606348581,589505316,572662306,539042081,522133536,505290527,488447262,471604253,437984027,421075482,404232473,387389208,370546199,353703190,320082964,303239955,286331410,269488145,252645136,219024910,202181901,185273356,168430091,151587082,117966856,101058311,84215302,67372037,50529027,16908802,257,-65536,-16843009,-33686019,-67306244,-84214789,-101057798,-117901063,-134744073,-168364298,-185272843,-202115852,-218959117,-235802127,-269422352,-286330897,-303173906,-320017171,-336860181,-370480406,-387388951,-404232216,-421075225,-454695451,-471538460,-488447005,-505290270,-953949983,-941822637,1551237721,485102676,1939015176,606378345,-797439702,-1389510717,1649085524,-331573286,-86110204,659275216,966071078,-1323389627,1140659791,-827118517,352131585,1113585502,-1707336414,-755501771,13312074,-2018119037,-528538755,1959901073,1486759710,302392694,-289002938,-1769492781,1966878071,-1105932988,-1836371686,1838809237,-148032447,-922713926,-629393551,497045620,286997271,-452434798,-1788723652,508198326,492716396,-1829859694,-1531624173,2007642678,1306675256,-1785413948,-1330820250,494729018,1557745424,618411273,-1274064332,773014091,1351177569,-1127478929,615274764,-335606837,-304718801,-419508547,-1264165029,1885290806,1640981257,-864611964,2051237419,-1080764955],252,[1818913110,935134639,1199926534,-978565349,426143783,-1223206686,1340109649,309237645,-1546094845,-687194768,-858949085,-858993460,32076,0,33024,0,33824,0,34632,0,35450,1073741824,36380,1342177280,37187,603979776,38004,-1769996288,38936,-1138753536,39742,1797783552,40558,49872896,41493,1136082944,42298,-727379968,43112,-2065225216,44049,-434047872,44853,1604923808,45667,466206468,46606,-1564725563,1073789233,191576694,-402604962,-954006391,1644216330,2028717484,2055258925,-685328617,-1399798184,-2038943122,1471531527,1746288394,-308097751,-1038364980,344313939,1498505536,430363652,1873131920,537974565,-879810572,-1811228082,1060731128,-1190339071,-1895311562,1733288225,-221655804,-2128354231,1870413893,1891035004,-978474965,1290070813,924389942,-534974907,-2065738045,1813180790,319526458,118945050,-1748075575,1222441024,-1111352645,227146608,1989759157,65302,0,82935808,-1710981067,612571639,1971536739,-1450930739,75662207,-2130706432,-2092060446,-2096008694,2134181108,-2144243176,625304878,1682186531,-2147471316,-1921080122,2051014659,5960464,1316134912,2328,-388717296,-402653184,1525878,199491584,596,1000000000,0,390625,-1769996288,152,256000000,0,-1609612736,655360390,-400093184,167797763,256,-7307264,-1,-32769,-1,1006632959,125909162,1952024700,1999017952,2048794052,2086883422,2121661978,-2144243176,-2130706432,517470981,-1725536890,590633095,-1520574073,1225776006,-1277754749,33117,1644462464,1350468405,2038320164,8366761,193003520,-2089923004,-42065159,-1631386813,294,858927408,926299444,1111570744,1178944579,-1146471494,1927840056,78028810,175278140,77932160,-381193088,1748768973,-1516219790,2042628612,-1568726007,-340065115,922702690,922682531,1189610661,-2132637168,460620228,-387698096,1532498388,-1763159974,1645722372,1527938024,-628436429,-2096488215,-466484028,78063240,-1173229079,12255232,99281281,855942079,-945029952,-1014956027,-844358935,-1523154759,914391044,-377486159,-1160969334,1525275015,-2017735420,71821785,870890701,85715225,-1310074489,-1984049915,-385572066,-1093859221,-796157870,1510534888,-2017473085,163047897,-645414707,-2129793559,1971323131,-389952237,-768407341,-393183045,1273496581,138799386,55827447,1476686042,-855533079,146139330,-1556676774,-1523122428,145352708,-353805733,1388546819,1918561015,-371684603,-1009974922,143779923,-1556676774,-1523122428,142993412,1391024731,1977289481,-1489598452,-83442172,770245634,-1558279919,47108,-1845189213,58310667,201326522,-955876901,-16472826,-1556154369,-371684604,-645463766,-2028415000,-397163559,-2091181499,-1950153533,-1962630378,-1023105778,434656156,-1014801638,-389833468,512343723,1743324323,-1096685558,77799049,-854956567,-1961391164,-385875297,-10615987,-16473290,-16472778,-2017079834,413198553,-389817977,57939812,-1012689943,-840377721,-1245695488,-1144599144,-930478938,11874184,-802191293,1942474192,18933763,-645208694,-401591319,861142674,-1558279717,-1987987708,-972774114,67304198,1528038632,50005702,-1047805180,1939006199,-718935805,78363587,-379275334,-1413808122,1689893380,77838930,1914107880,77576707,852331203,-2029458451,50045146,-53965928,-74714485,-695491341,-389816437,-242497482,738065291,-1527561782,-812918133,-1664877503,-389833399,58005180,-844960791,-385648440,-1549724029,1958742788,2030153734,-1006653438,-619986893,1539568501,-661940029,50005702,-1558279934,113689348,-1023147269,-369113880,-909246489,-1242998181,103147523,199842395,309516,-1660974871,-1656547446,1127713436,-1656549493,-1013103716,120109907,1528170216,1361491641,855619048,-1563767360,-1262812367,537380356,-968685814,1793667079,-1597256437,166397093,-437728051,-167218153,450941136,-1019382592,914410957,864027815,-1948387621,-1950213181,449022672,-1010267455,2014708712,-389100038,58201551,-401025559,-806873086,402450712,-1037319285,124784244,-1070463112,2026094846,-1071973895,1977236419,-371510523,-1031077850,77799049,113761035,1189,113706617,-64347,12238859,-1174177536,1056440319,-628423517,77799049,-516248125,38146420,-1732182524,-180621309,-695472267,986855913,1963129606,1965832937,-796244251,-1912194388,33846272,182250434,-1743752000,9420689,1955702515,-1963982074,-1949766718,-1950131242,1261341683,-1091830780,780923787,-369360036,984416269,1175549153,-268199764,1005585325,-1947240978,-749475362,50005562,742058357,-1404639883,9307706,-1073029259,-1852305804,-218067009,74748326,-789843965,-1949267027,-754587170,-1021962008,168076705,-2131397404,-2147179210,11589581,-1576755550,-1298135894,1958742532,77963746,-663428086,78716555,77926016,-1324449664,-863338492,-1482502358,1931637764,-154958318,78095065,78003848,1877496144,-2141693675,1601386745,568916051,78094357,-1144835493,-1430387554,309508,511245560,1124536749,1945756227,78035730,880019454,79252299,1260376320,-369434037,430772713,-498908409,-166038535,-1191181929,1263206404,-85846025,-16776007,1124496647,1962467907,217377224,-1609724439,-2145123161,77932160,-1526331265,512344836,378078373,-1581054813,-469105499,914419828,176161957,-1578142465,-469105499,-919347084,77805195,-1979406430,1942956748,-2032536051,-1507948065,-1814067708,-527772025,-1264786638,180619904,-1964756260,1959332860,435782470,-1986194830,-1979407562,621061926,-1005944705,-1023105630,1913190784,-1964864996,854821590,149520603,1948239094,550273232,-863974421,-352067040,-607062002,-590292271,1964033270,-1644961043,-869653127,-233053814,-1021651317,796121226,78059254,-755510026,-989932554,1967268213,1975778846,50785050,1943540438,-1509491188,-804686844,-790965797,287631836,-385046039,635964520,-1314864365,78094852,-166942743,-16472570,116846708,1962869938,-1323398171,-185341948,78716553,-133913413,-1156341272,-386399056,922686362,1592263846,-1509519595,4241668,1359539025,78298104,-1961658392,149718012,-1107103869,79234224,-1510736640,-1190889282,-1430585340,-1375930364,1128466201,276036066,-1962933063,78299124,-1952058372,82573542,-116865917,-402350405,-497478856,-1526270282,158629892,77989631,132712821,77511436,-384622616,-1796730831,-2012777198,-385571042,-16118784,2062091125,-195565550,-768345461,-208929142,549052298,780883200,-1516239709,-337147388,-674105339,1465308881,-266601173,1583285363,-998046485,-772409340,-489434670,2044398564,-1509491190,1560835332,-787765783,-1965829678,-1965651230,1574931187,319819241,1364677625,-397397972,-1739058608,512433785,-75430749,426970317,-472790133,-654056495,-670833711,512297848,1223361699,-351767984,619204659,-954930430,293894,2114373412,-1147898876,-2081946498,-401180397,-10874308,-16473290,-402348746,1515913867,-335688472,31975443,-401464344,-396750098,-622329225,-51451903,-1017421991,-1070409267,-855635479,-972967718,134413062,78120646,632602113,-1946209450,-134771761,-2031595311,-1073063919,113640821,-1979579653,1965440007,-1341658877,1956392252,1948990469,-68662527,-402230280,-169214147,1638120959,-225717709,8796718,-2130021376,1952554237,-269923036,-1662156289,786813281,1781573375,1784638027,1785162335,1785948781,1782606400,-1662468046,4319232,1090530793,1374222197,1370454289,1223186259,1499160321,-385899543,-512429172,-385885207,199819485,12380160,838862313,11987136,-401771107,568857389,1392867857,1527967208,2046168003,735770370,1951101143,-2096596920,494020602,1376402921,1512489603,-1169026183,-1169003856,317415170,650281818,2027616899,244005,-1031675181,-628662222,282781778,-1142421390,25552913,91818731,13232211,285599835,-1964391589,1048616720,1963459323,149528068,1465097728,1593859304,-1946799269,-133895978,758911858,-688454539,725353963,-389873292,24311794,-855998013,-1174048244,-269778945,702544,-2141527305,-164482838,-538193917,1402732812,5171287,-164406433,1290327691,91594239,911443,-389856421,-109572008,1956409321,273606705,58021499,-845382679,-402294321,1223360575,-73268048,-1524725246,-1491171324,-1558803708,-1574532604,1087143940,-377435264,501747157,1965388560,-1672812285,58314957,-1342173464,50045448,-1616658381,77701892,-1957276989,-402349290,1516109955,267577539,512427385,-842857309,-385649199,-1499423720,1922055172,-385649615,-1516200954,2025851396,-1677924093,-1157627718,-1964474368,114026747,-1173238296,-2135228416,283961488,-538377356,-2147435621,-1516229141,-1665136124,2133067129,-1174100574,12255232,-77076352,1006937760,-1660521072,-1209410696,115861659,2040388235,-1982073086,-972774626,33749766,853226435,78102244,-31546,312976,91869707,80141047,-1965127040,-958952718,67304198,-855094295,78029014,175423498,168080032,-385583680,-1950150920,-402345698,922743002,512296102,1458046129,-1544516847,2025522342,78816004,-1962628163,1958742784,48940,9162635,-1957485577,-2116090914,50632643,1107391239,24363267,-1962440382,-8168502,1191474182,-1948521657,-1615113279,1526761732,1946615427,-347716092,77446846,506365,-507508052,-2147126021,537173518,168076704,-1509519424,-1156614140,79234206,1125634304,-369434045,117312537,-143326042,-402137623,74714739,58064650,-401710871,244052026,-315489115,-1979407455,1381061629,-487108527,-145175925,1942488035,-628407807,-487106470,24365059,1524237122,65205848,-787647528,-19279397,1963238918,126937347,158990090,77989630,-2081880203,-774778617,-1965716781,-1965061389,200075745,145773507,296747634,-930420598,1223203921,1958742530,-1660126974,192630873,2035814404,-1660294374,69659481,259610631,200730704,48269912,35028705,34401256,986054341,1912845800,-18314740,-352145211,-1245380092,-20382205,-1672455224,1307101490,805815808,-398261899,-2142568216,-93048769,1949187968,1486701313,1352412020,-1274167320,-1274905787,1126664260,130456920,-972719829,-654955257,-989974604,-93124052,-2042414588,1124567492,509507,-1262757497,-838941948,512300665,130417490,130433838,1975909936,-919387144,-838984981,130419829,1377732910,-919387389,-906097941,130418293,61948716,75566729,-1123699517,-639081995,-1769263361,1162149888,77805195,-1057083472,-93064661,126415363,-1556707005,1976368644,-4790051,-1023408186,-1107099207,116064262,-1107032903,-1279328252,1958476804,-1558803614,-964012540,-522984398,-684793722,-1964846166,-294302003,-1157626426,-27720525,809468105,-498924683,-370621448,1366784780,77577811,-1190876225,-201588732,58058917,78756691,1527643624,-1090212930,79234207,-1510736896,-823655564,-1508996596,-1192656892,-386344458,1499136858,-1335777602,-13703159,1345302608,1354825304,1929417960,10742007,1966750808,822593033,805815875,126354155,-922855357,-1101932683,-1547762529,178436,1504048124,1364404715,-401663768,1532625777,1947048424,-1524725493,-1558804220,208922628,-1293418064,-1524725501,-1558804220,-1336190716,1642904067,1358874600,1592283731,800087309,-1057073072,236447824,53409651,771752086,171538,-398113467,-2024272584,126376917,-922855357,1111674485,78965387,1375646697,506198,-133914689,413937404,-102611195,1371756894,-1090517063,-50854753,84978734,1509548615,860967875,45832191,78028894,-1073031378,-1738595468,-1957169109,-773598760,-2115776029,-396348733,91425724,-351537432,211347673,-335781144,1617345489,-401837592,108203286],253,[1594609640,-1712826545,-1156681205,2011717754,-62789620,-351720360,1532581889,-1144799222,797574324,646586545,-990509949,973960224,1965732329,80016903,-376831371,-1075310712,-1120766734,976118181,1946157190,-1661107959,1294365793,-310251285,-439262820,1638334254,1970304368,2037414256,2037414256,2037413232,1013988464,130435952,-2094626256,281343492,-968162188,-990501881,1258648836,-315478136,-339735869,805815814,1976106563,-1981234184,805816061,1976106563,-1262763019,537380356,180480083,175742043,1395460038,1527573736,-968687348,-1013108729,-571942707,1124627967,-1157625914,-389872460,309922504,856096953,75736000,75566729,-369271064,2028601137,176285948,1625883513,-1023314529,-805001568,113660136,-801110874,-1157323242,166200491,309517,221767761,78321291,78454411,1526184936,-162797477,77991678,-502631335,-1073456925,77989376,170912195,1462091455,-972773185,753402117,-385649398,125432118,175505162,168006633,-385649153,-620099059,-8379271,-385650023,1397923567,77805311,77936383,1526805736,190638170,1527463912,-385649574,-1516200237,2042628612,1908653833,-1568725929,1381172389,-1669346432,77936383,77805311,1510016232,187492443,1397890677,-1157627718,535334912,2035964683,1532665103,-1174389527,12255232,-149755519,1393457565,19916882,-974601590,-799319550,-1559851048,-1526296828,645963524,-1635842907,-1329658765,1381193597,1510020584,-83629989,1408271849,16771154,78780041,77792967,113704960,-2130705243,78786257,1532626803,-555199917,-1308166150,1962934020,-396666347,-1914172383,-87300086,384326490,176351244,1532679915,-1508996413,-1192656892,-638174861,77904796,100234,231304,211599370,25659520,42452480,-1667385344,585630585,-387108352,2040332306,2549763,77465286,57908480,-1023296023,-386378927,1499138426,1405351650,-2096848965,74645807,-135576765,-1152138405,134087839,-347929739,-1966908423,-2147178994,1098094825,-1952654858,-1962630378,168076574,512269531,113640615,-2137520986,-1667399477,-360511879,14385153,-922030798,-338688396,-85796143,91856797,-33393342,91463107,-1444289486,175742465,-738798857,-2147368317,-1312620333,-1509021032,-1427376124,2114479848,47697,-394198853,158665150,77797001,77928073,78028995,1352171564,77989574,186378368,-396265797,1532625432,-401927960,-2017785476,34269281,-1847043238,-18326795,-119937014,451435354,-2144224268,-378398534,-185992803,-1805850212,1356891807,48955824,1436729394,-997828604,47774,72556169,-370670732,991857091,-1817384957,-477374603,72562315,-847956167,44534354,-2091757568,-2013920061,2021720063,178497,-1074557956,-1510800221,-162310565,-16493306,1455296373,82805508,-218103111,1958752933,-263460861,77839967,-67108167,-1956731405,42765076,80118528,-263591850,-1014814741,1125092100,344677955,72681206,-1962510849,-352037354,1892745988,1377077557,1128470411,-1511500968,710499313,-249567035,378080116,-779419602,2095698823,-1981576294,-1962719970,-2147271906,158673983,-392501528,-1813381310,-1700206189,1465275217,-1153912238,-1514208098,78036484,-1185736213,-772276220,-498908393,133585914,-30837440,-30772212,-165251894,561577733,746643573,-2145749496,360057066,-1190878018,-201523193,-1641643868,-1091887100,-350220416,1583307474,58087771,-385583895,1049233088,62456998,2027620864,-2146274004,494012655,-225780086,-461319030,1961550368,-724502512,-741289263,1967178998,1976565255,110881240,-350172032,-1505851148,75032836,190547,770229083,67812096,-397210389,-1017446398,-1157619736,1048577123,2013332648,-971868921,33859590,-1330675224,-1349916659,-2065167696,184337327,1644412671,116787828,2038432935,1644936707,1913027560,77577992,-352320327,80118537,-1190878273,-1523711998,-389808926,-397211379,-1226307711,99113975,-379889152,-1976633427,-152528889,776163336,-1549596789,46367492,-1559786706,-1014823771,1499092994,1360819272,-2024583086,-142350119,-1959898277,-1618268649,-353894398,-1014801423,-1008801020,1944637523,17426691,-396315973,803735254,1527345671,1274749928,-1020983354,-1257901080,-1258130672,96331783,82314100,1064852474,-989671286,75630122,-654965383,855294696,11659465,75577087,-119871406,-2130276518,-2127102204,180367876,-402230078,971569843,-2130276360,-2127102204,75603972,-1979550999,75604176,41205770,-259340034,-930430462,-1070463880,293193866,1397903696,1527097832,-27764390,-1963886400,717392609,2042954433,75669527,-956671256,843263495,717238985,-389731646,384563787,1376027296,75577087,-1037384406,58245378,-386255128,922681383,1374160001,75669752,75564687,1515765770,512427893,1743323986,-20839935,-402425656,1542060559,46500353,-20895038,753437376,83656451,-1597470205,1076102275,-930479499,83814595,41027508,-924315468,1962498820,-397389047,1532688651,1352459914,75568779,178058762,-33393454,-1645083958,116787572,1963197571,718208514,1357286132,1323893624,1347441408,1476714984,-143276802,-402341912,1347946382,-771750983,78047460,-997584782,1622326168,1810421763,106293253,1857752811,-1731949984,1407768579,100198405,293100376,-1040295592,1347637329,1476697576,839052123,-1596131612,-536738686,-1073036034,116787572,1963197571,-1966277118,1489580780,75577087,-2110879664,-144775164,2128874072,-389772795,-1554450113,-1073085311,-1974793099,1949187079,512312065,-1655176366,-1006496398,75638410,-469056470,116787572,1963197571,180420098,-162862912,1206507915,-153056768,62144708,-466484619,-1996192861,-1979416306,78953440,-165673018,57936068,1395328966,1526970088,130418809,-488090835,-968664315,-773312505,75735299,75566731,-1276574856,6875645,-130291629,-2013039525,130433839,78887680,1379830595,-2129229053,75669508,-81009614,1131739179,540805002,708634228,28631668,-397388981,-466425110,-160158404,-227267780,-294378436,376778812,-355145661,-347402125,126372611,1961101912,46433272,173585387,1543206116,-1020983354,-1979415647,-804866612,-2129228824,1393259268,-213522350,-379928526,-963969473,58197292,1391994600,1492507368,1975519824,-922858751,350750328,509688,75564687,-385918487,1836319467,-1549726599,762628,-1576753760,195100685,653733376,-125083029,1839254154,-136039838,33557286,-1595657528,-147980275,40004390,786707144,1651381899,-1976641789,308440862,-1490646823,-1568624636,378078374,512229387,78643213,-385680478,-1279525960,2144516,1128466179,-31130910,-352318557,186026913,220105216,-1329581312,78029440,78063240,1408995305,77511505,8390529,1929380793,-12369138,-502762233,-1509490952,1495257348,116793460,1979647134,-1624866811,-1514406396,-1979217404,603980455,-2132508545,663281674,-997997733,-74913532,-2132745088,477331652,309674652,1975778973,-607061741,77989630,-380106123,1973287786,-18710525,77839958,1178997897,78069386,-2139102335,478732042,-242498722,-1962625816,166220238,-2146864638,-1207654850,132845433,78003840,-402228840,-806878720,75938564,1493455336,76463953,-402356549,-2034564043,73263108,-402522648,-2034563918,70576132,-1157497880,-974650220,-2096925951,1474823403,74799364,-856964610,1978198411,-1009939708,77932160,9431167,-1156588614,-85425335,266058482,-394180165,-1516114587,2013036548,180552051,604600768,77963903,1350414520,-1610586904,1950090406,-608564877,-2092319985,871549161,2139143122,-394271872,712508054,-394212480,686353705,276339713,-2135174605,-316938112,2013338344,55633923,12309043,-317986689,-402425699,-1514470590,180367876,58301447,-1149225088,-1092066764,108633594,-2147179077,-1144815561,-135765405,-251664383,-386810136,-1528298579,33614071,-402406424,132705270,-256317437,-1523122237,-1556676860,-11081724,922704730,922682531,-102234971,-13834239,300505691,77963758,158973962,1467855039,-1516077276,-2114158588,968821874,-768387205,-394198853,-1564807696,2131344176,2013389288,2067971898,-1556676777,-1523122428,-1277707772,-394175045,1515973733,77805311,77936383,-1157520408,837313097,-10855430,-16473290,-402348746,1515913616,-1142051864,115958354,266058490,-377402949,-1833243611,-2147042550,-387176215,222081111,602407797,126496433,1975519811,-1614822418,309508,-67108680,-1195136013,-1549598720,77964036,2812099,-1549726087,1958742788,2030153760,-1009191396,-1499409203,1958742532,77963280,125091850,91816368,214161654,-73350399,-33014782,-20382008,-236403768,1393324799,-396268869,-303562546,868441066,-2147435566,-1007964952,-1140860952,292708394,-840431381,1614461951,-1410857102,-260708352,-1523122237,-1556676860,-83442172,-1662515198,-277813248,115891034,79283185,1125634304,-1006968253,-788527943,-498382049,-1887386630,-501219326,-1329872127,150568964,-1185864078,-1430585337,-1977120252,-2013265529,-136166649,126402610,149520473,1948312704,-1440347943,-2955004,259311882,-1209468847,-2013898241,1963982850,-1010834759,-1090216002,-1174666069,92995588,-24868443,-1007164673,-1190888257,116064258,-1190889281,788267012,1135282059,-1946623421,-1018475553,-352015425,77578218,-1413487125,309508,-201531769,-1008826459,-1151904943,-1413544801,309508,1610607080,1371756891,-1413785773,77577988,378137579,512296099,-1950153563,-1962630378,-1023105762,1929301992,9038143,-1014343853,77923890,-620085384,-1516169608,1925393156,-1590004414,-1037368157,829766002,1609285682,103531403,728892581,-1031068811,77792811,427106674,1206632498,-1514186925,839355140,2030347526,-1524200941,2028210692,167882758,-1339233344,669776383,178513,-1516183929,2042628612,-34109694,-502893145,-352276229,-1341754611,-339736063,184528901,1599732160,-1313094821,-1084796156,92931237,41486130,-1185827861,-991231996,-396230725,-1746338062,-972327425,33749766,77792967,784564224,38443,43915822,166249216,-1610057474,-1073085275,-1581052296,-1073019741,-389869192,142147060,914412237,-1015020379,1023714209,175472640,-397159475,-379851301,519569382,-1144847197,870843513,77053696,-1207957319,-201588736,75014827,-1023104350,1929230312,-22877949,-1618274421,-1178402814,-1511522300,-385649923,45743766,-24057600,-2030041927,77577211,1929220072,-25106173,45735815,77840128,1944714119,309758,-402350145,57867636,-1174510103,-1547763710,-27465468,1929208808,-14817021,-385954327,79297880,-1190956288,-1084424190,905905317,-85831857,-1413495979,309508,971510251,77578237,1929381049,77840134,1476395705,1195836815,-1018103070,2046631912,-707935487,-1259797646,-199497229,-1158021120,-628228000,-762396018,1688387634,-1148078844,-1699086336,787647238,1124567212,1976434242,118406388,-1141239091,-470351808,-1020535924,-167771973,108392644,-523041615,-1991518069,-1962922978,-853349917,-157143888,12040961,842663878,49914560,-1577056606,1705116779,2662916,-1996288325,-1157428194,512295802,512426978,-1991573460,1258490398,118405971,-543030096,512316164,-543161120,46202372,-1227846976,1524237056,512481927,394790112,1127712835,-1190862944,-1073086412,-628683148,-628631293,1128470409,-227161858,-654058873,-922856637,-1962592606,-1962614754,3390231,512350723,1130038500,3153545,54861449,616729178,-1966044418,-1966921022,449219288,1945668295,-1385633533,-338492495,37537674,12256114,717392386,-1965520189,-1966662970,-385649672,512339274,-628686070,2891401,53419657,512353163,512426821,-628686800,732773864,1397443546,-444536741,-394273605,-1729561729,-1013978708,1954103840,1713402725,6645106,21,0,0,0,0,0],254,[808466229,540095792,1380994883,1112088622,959520845,-522702536,12181997,-645137344,-1157627976,-13915563,-45110541,-880019573,1975792300,610460709,1962979520,16547869,-1031142540,-2132155734,242483452,-226041718,-663468036,113231,-87830293,1939789236,2068608334,-1622640310,-321780303,1085292915,997318864,1923015730,2016703542,-1624212942,-321780303,-456119950,-4709008,-661718529,-1014047860,-779173492,-494153076,-175379317,125042315,125159219,199455736,-201231161,-1595539280,-1716485146,-55548954,-1070964250,-301737798,-1195720450,12119555,-1143959824,381476864,20179424,78697845,1420822758,-919911450,-1047864950,1085293030,1105478630,-75442166,-503024385,-1967854607,-423023677,-431968191,574743619,-503024424,-1331631116,-1337727404,-431888878,-1962954739,-1174893864,12189704,-1192301056,-1964244735,-667161376,2062091124,-303938817,-545992458,31915952,1487929830,11537382,182847718,199639472,199639728,199639984,-1912586056,1914604504,-1900008704,735612608,610329855,-1325136884,-1948200180,-52393272,-453123414,1947149410,268483096,11591818,12173966,-201380992,12747178,1976368648,-434917137,-435638240,-435572703,-1900008671,4243136,512351886,1048641650,305397874,-661768076,-1908412228,-1141339184,130482212,1128522422,-1209528436,1710981124,-5108107,-1979401496,-889279805,1053685365,-1124460786,770301976,-385649410,817430205,-1127182848,-953810688,-1023408122,113714914,-268435446,-1191171351,-1070456832,1124532782,-1073022238,1380012227,542725193,1128613955,1345462347,1414091329,1212358745,541803333,-1900008655,113714880,-11272172,369542950,-84934656,568721584,-1073077788,-5231755,568599014,561316100,571900,-1207951169,-1196694858,-2085883904,-203291453,737928242,-486612279,1961102078,16890376,-100422168,838907124,-419516179,-435113951,-1978224317,-163518783,74842052,-571737630,-5238095,11813094,568786608,1979696374,-369499444,28573750,-419450800,-434065375,1355765792,1084777188,431884404,965090,-2136470805,666767476,965090,-855637832,65464336,-816253702,825242144,4243452,331226894,2144767,-5200397,917512678,11551718,1088831718,-1912586056,58255576,1957362560,-432230362,-460287903,1979655264,302448150,113714688,-424542176,570869542,-1326448640,-1339955458,-1302206772,1610660612,1979631848,1976237575,-1878529033,-402587206,1625555678,279118004,1966089216,10021123,-58662778,-32934864,553418944,61866613,-840684976,-1152362480,-1195724800,268482819,-58719824,-1156877264,-658851840,1073789187,-1896953602,4241603,1048696974,305397874,-611447436,1962702568,16955910,1476559336,-855591856,1881192464,683278123,-1410073600,-58699688,62569008,-625343628,721990659,-1004344119,-102628235,-919923733,1959011052,-335945212,-771510008,-337349140,16955910,1476541928,281870516,-1912586056,270961368,216301568,-453638992,-796192764,1659164811,548671268,363062518,1090224896,-1070923148,329499395,1916698880,1947350016,67156813,989860025,-1907984687,-2084335909,-1014951743,1397818368,-70064046,1952013146,-1965388570,-1312388376,-387395068,-964034498,937955108,-1312454144,-387395068,-980811730,669519652,-488063488,-402651975,1256784464,4241408,378263694,-771031019,12185716,16482560,-1142458608,-1679093760,-1155592674,-1260919625,-855591154,549658384,825307187,808857907,2013510705,805468163,875770417,943142453,1128415545,-1203354300,-661782464,1195648,-398887935,736297394,1642483120,1974139776,-422793182,-431181727,-490132639,1012983038,-1978043392,-771444248,-6493976,254068106,-1090546200,79291559,29288448,-1064386517,234893497,-17580513,-67100481,1085842931,-1327985152,-1335761331,-1339955457,-1203509578,1122370771,1122419850,270820068,-402625630,1005065278,-2129861868,1929724155,284918022,-1106676988,62514347,24045568,568786096,-1476390752,-385649407,-1129316167,11805158,-990506035,-1172277761,481297394,-490132498,872342270,-2013153838,-402637290,124913907,-320331083,-1106676984,62514350,19589120,-222688080,113765891,1966106,1836743,-1313013730,48868,5671726,720284336,-1438847808,-1802959243,1178992648,-41859771,-462035785,-1174404933,-1460927494,-955746824,-134217593,-1169997053,-1460927750,-955746824,-134217593,-1958526206,-771509818,-1564276024,28966929,262728706,243271029,-1341128687,-2136938880,16781886,28968564,1107968,-2147430423,16781886,787022709,-8984070,-1205929316,-661782464,410318346,635963059,-16850432,-2131397170,16781886,-844102027,-387227162,233308595,-16850432,-487230006,536797950,-1229929571,867714022,-1975327227,-465377596,216042081,727836163,-16850231,-1963297333,-1016994108,1642466480,-500607303,-422792962,-431181727,-419581855,11860769,-990459605,-503155201,-1973361415,-422793000,1375454049,610395216,727836351,218030793,-1335761344,1478551072,1085853529,-2133291520,16781886,28706165,788485609,-1220148086,-854674432,-1191910896,281873933,-854717768,-1191460080,-661782464,-1476390751,-1188858879,-1269759996,1913900288,-1157450732,-1014104064,-1166278469,28901376,-855527424,74668307,416145634,8126698,268032,-1073643517,805330944,201332736,1377762048,-1957603498,-1159278094,-628228032,38027,376754699,410313738,1316277502,58051838,-33519127,-385649204,1599668409,-820028834,-1031544694,-293556221,-1026501494,-1026506032,-494812464,700383246,-1946549273,1107296404,21334574,-1976677650,-1031541243,616860163,-360452577,-301944830,-2091877909,61867202,-2083965970,-1460927806,-502762208,-864003847,732425040,279506121,-102627211,-2134081448,726309099,547941577,-102627211,-2134081448,-360478485,-1047897851,-8459794,7415424,79856511,-2081554000,-919928126,1965074668,-1258692089,-10294912,27847754,116787573,1954545777,619506676,-1948218850,-335544172,-1946204183,-2097151852,-1964243518,-370392352,519831352,4242259,-469050482,-855766156,-855760780,526069108,-91161649,1711755,1842747,126612340,-1996480792,1526733342,-1946497249,989862430,-1962927074,526121735,-1610612022,526057495,46367695,4127617,515572597,978502400,490227269,1082144298,67637280,-15007486,-256,-226,2147426303,85398015,353965074,454037257,33491485,117834771,202050056,-1,51911196,219021846,-1,-14614529,1633705822,1701077858,-39066,-8061065,-9109645,-8978571,842079231,909456435,809056311,151534893,1919252337,1769306484,1566273647,1935802125,1751606884,996961130,1560240167,1986230394,745369186,721366830,469704959,606289953,707157541,727656744,1464926216,1498698309,1347373397,-15893125,1178882881,1263159367,2116172364,1482325247,1312970307,1061043277,553582847,1448432895,1515804759,1750948955,1818978921,1886350957,959985521,909456429,858927403,1212624432,-11796663,1347419981,-78425519,1381061456,102651734,4241660,1625610382,-1973296048,-427815712,-421493151,-527804319,58064700,604141033,-1090056577,146401410,-1968246272,-385649468,-276758392,-1976637309,-1461155163,-2141948544,124981500,1517064,-167738391,67114758,1379690613,116794741,1946681367,-1873024253,1509110,-166890208,50337542,817368436,30992722,1509110,-2064419837,1962940454,405145677,388378624,1968323584,1375778881,-2147370519,443748604,639685878,-1204027369,429927541,-2013219840,1006639398,-383814656,-722075229,1582624,-2143546133,116789363,1946681368,1950694423,405176325,-1325730048,119596576,1516134175,-816293031,1509110,-385649400,116785295,1946419223,1968389169,1913046829,-384683008,1330836945,1280004432,1229473613,319951120,387323156,522066200,589439264,740697380,808398381,960246321,548406645,-1090443799,179956362,1974399488,-1947238126,1679594,-453637452,430098179,-963908864,6406,-234874183,-1341819474,16312576,208798268,141758012,-1334393728,15264000,57883452,1023370217,-1141279929,636086627,386332161,1534329856,410338876,-1996480837,-1996482018,-973071330,-2147454714,12065741,11856128,561333564,1576576,-434065400,1228832800,125044480,-1610360646,-152174491,134223878,384432501,1966554367,1912649734,-1157593623,993847442,2028667763,-389235824,1006683113,-164793529,50337542,255613812,12060277,-1872631025,158676796,551952560,-622262835,1916484862,-379995386,-1157589015,1089202463,1509110,-165645024,50337542,1245454453,1312557940,1194069108,-337020229,1244510327,733487851,-165811378,50337542,1177346165,-337023557,1916484619,-352276476,-387597561,-684799746,527761212,1962933376,386332186,544489472,1509110,1007645699,1008038465,68253530,-384963808,1631387228,2050754162,539755127,1842827,1625879435,438189052,-1995869184,471763204,-29693696,-385872408,992804404,-527771858,-1460993872,-1152298160,1642332352,-419683248,4766049,34406114,1220108774,1274995200,-430380171,1482381665,1364458435,1431787038,-1091794094,-561119168,-1157620504,-1572860,1076267009,1093044736,33325056,1599953653,1532567390,-1979710774,1059487984,-469074176,-855758988,113669236,-2147483583,326305018,1786039550,58051838,-33515799,-26708788,-966232884,16793862,66239171,4169978,-523107151,209002664,108347560,108298408,-1057046274,135053566,1040631534,113639424,201326657,-386142716,1117782568,1958755328,1091469319,300621824,1206387636,113409,-1157534232,1743257603,1101054721,1185989376,-1274955288,-1338578074,-2131367102,-2147467506,-1477948752,-347229183,506660,-1157545496,1005060105,1030913,-1157548568,-1410793455,1057914880,1253081088,-1274969624,-972524731,151011590,1354956976,-1328903599,-85929471,4196038,1057391871,-2144242432,-268419290,4130312,-770658053,214043360,-222670324,-161812989,-2147467514,347804276,14739456,141878282,-18691797,-152318722,-521643525,-58042368,1265762486,-1863453762,9758806,-805214582,-2132487964,-502659868,-2147449368,58019327,-1962974487,7923941,-402561398,-511049614,-1157599768,-1813512185,637696,-1157591576,-2014838773,899840,1577091560,1912684776,24373317,-1090764942,615252034,1010529472,-1406569152,78962896,-523230094,280289488,-523232142,376572084,-523181872,242353332,62185680,-523237262,41026228,638066868,2011693121,787006209,1877525249,-1008455167,-189116078,-322358525,208945320,243333602,1501560897,-1007069094,-1460877005,-503024256,-1964250119,66435780,-1017488914,-1900008674,2016855512,-1964257024,-999153888,1359065283,-1059927414,1040614489,135492864,-1275052538,-5445625,-1477909878,7530751,263465330,-1962959384,-6756126,-1813453430,6220031,1227676,1375712744,167913145,-502893340,-338886914,-1013097997,-435362223,-1312781301,-1967074556,66069736,-33393725,82202821,82232458,254068106,-427130394,-388906966,441168,-1962969624,-523020084,98979912,99009674,-1056745383,-436031399,518570762,-1273728512,-14096376,1912622312,4366346,1614569508,-1007156620,4263552,-71042752,45306195,116836659,1971322942,-17309172,-2131528245,-2147466994,645963001,-1652621250,-71083175,1085820958,-2133291520,-2147467762,551952560,-53534888,1358971583,129192786,-189085389,-2136413181,-102626187,4263552,1515977088,-1460878503,-2146994880,536887566,-331157525,-1186527864,-18743286,279505994,-872544652,-471086475,-1017554341,973096352,4694213,146475636,-21960704,-1057045366,-809254614,134358274,-162463958,519767065,1397839442,-1912586050,-772633634,143952870,1959922432,1961101836,1959591438,1959591490,1582914346,1355751258,-919401805],255,[-1964227858,1971366112,-17309170,-2131528245,-461372980,-1340806151,-1326562803,1348005388,562315,-527766462,1526260864,-192888182,1354951496,-1341996413,-390533624,-42645501,-336720720,-806290213,452063473,821537266,1106418930,-1007452685,1425274611,670316786,2063016692,117242866,1397838366,-1974446250,-773573948,1039174624,74580000,21490008,-1912586056,-1207912232,1064587,3204993,1966145411,-1342130173,-1973895026,771770662,-263871233,170731576,471402015,117835522,0,173690993,471402015,117835522,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,268437504,1073758208,1347430440,1347430440,690825260,689843754,-1291594566,822051584,128976757,-33311558,-1562342717,378077257,1344143459,79856466,1525597066,-661733333,7610053,1096024,1912798336,-2133261552,158467324,-58664701,50491911,-466464551,1122944138,126534910,-498449426,857692403,1312721407,1644611072,12124160,83656736,-58717070,855929863,-1190728768,548931584,-945032441,1728077830,4825088,-259267534,6493835,772063875,-252410742,6660846,-326858194,-1545325840,-427753398,-1959919602,-1980701556,-1191162866,1354694664,856104448,1118565312,1048588464,1963327561,-297816062,1593861794,1515805534,-1261500641,1611565322,190464,378269163,-997588893,-980794642,-997569810,1122943230,-1007763062,-315437174,-242490927,5280905,6438456,-1031076491,-352320792,8382654,235128971,-103743410,-1041756492,-544553985,-472776910,5281675,6295179,1482382943,-821616808,-1962909022,-1744810994,-1545472176,-930414514,213187025,1543476200,-2020875311,-1192755120,-9180673,6493835,-1610235261,-16121754,-534507915,169862016,1721953987,-11015936,-338632924,537719667,646639595,1235222602,1648265728,1499356928,1409236969,-997533557,4859638,-1023148238,-1017388847,-58664822,-2146930172,57935868,1392636905,971555211,53703680,719751920,7727331,-50072317,-176829186,-400510888,-50134928,-143275010,-1912586056,1228832984,125044480,-1174379104,-370277416,-561316127,1048632043,1912733769,1228832793,309789440,64666194,145288272,632355700,-301737798,2129156696,1309017087,-1946645760,-19846160,851640006,1244564461,-1964178688,1244067523,113246976,16482335,1456114371,1604711255,-896875682,1605104471,-661979709,1912929408,133988360,-1494678668,-1031056639,1962906600,-1963971808,-387765530,-181665841,-855704277,-1336347275,-3479520,-872481493,1474951029,-337736961,83656941,-58718094,-385649657,451412649,-1946973440,-2097126634,520488642,1963043052,-1460864261,-1376029695,-1963056919,-1947389233,-1947807247,855658628,50783195,-503296994,-20190982,-2134648829,141690108,1946680448,28436739,1364255626,-1946169112,-1956947461,-2097126634,-1460926782,-84183807,1946265836,-1413248005,-370613509,-58655279,-2146930172,57935868,1342275305,-6297519,1532623755,6493835,-335101309,-76217944,27847930,-1014301836,-387823702,-386031383,-1977221071,-758898172,-758215968,-40900160,518541392,585683456,210380484,-2134641061,-722072203,-1056256990,1476692006,855470313,1408625601,1378398288,-151068032,-1024042270,84112385,-259317760,-1143895208,45679296,1228832771,108135936,-1191083845,-366868733,-234624301,-919930998,-855455536,-126496770,-321723510,-661994661,1793638795,737708802,29524433,-790179839,1228832998,74647040,-405675312,-316006650,-472849456,-1014354572,-453619532,-268175477,-483727734,-2130673432,-2128629522,-31477521,-1963887156,8972487,531689345,-176829442,-1963141911,-34804770,-1031022454,-1962798872,-2116998152,-805240382,-2132356890,100682046,-489683597,105375697,-2115163617,-805244729,1961087203,-1262253522,-1947929008,-1963971593,-387765530,-293535711,-276750256,-855760816,-947195531,-2130695704,-31436561,-51022389,-1963166487,-1964250146,-212379958,-2124521564,-2128609082,1444937927,-204830121,-1017225308,-212350326,-947822678,-1974001664,1605039050,1342223555,-1962834456,-2143528712,1857947251,267063034,723419180,-975270154,-1946125258,-783147046,-773795360,-2131754016,100682046,1462530591,-1408977322,1971373046,648849942,536839560,-28326013,1592554958,-471709857,654046441,-1398143694,-8048090,-1964971233,-387460653,1448542417,-391379786,-1021116194,1954595574,624043527,21312038,639993894,-1409202808,587253224,-2134706493,841353844,639631525,536970546,10848294,-2054674912,-947707903,1976499792,-2090901823,-1226702137,-386165527,-259325738,-1962349437,1228833004,520488448,79043186,1183319178,-2071313152,1183326208,-964475648,1976499792,-1877480469,79095505,-2130671384,-400555834,-293535615,-822206544,1858072181,-2096689414,-175437587,369144060,8436255,146364246,1604776704,-31558562,147293120,1022195018,722629632,-992440640,-1946125250,1959201728,-343887868,147096530,-2131029783,-1014365213,244049,-523181872,-119351286,-1017513078,-1168944814,28901376,601393920,-774698023,-1948134944,198779864,1944179155,1539476460,-1966908839,21269028,-1296039751,-121535232,-788987532,-773205550,-1997376535,-1018888106,1392529569,-997533557,4859638,-523116335,-1023148246,1347470171,281871284,1946696792,1947024473,1946827870,1946631262,1648265825,-1190480896,281870337,372949758,913637450,-25165646,-1272089320,-855591166,4825104,108135484,11994940,146015861,-58060595,-1190788680,414580736,4855434,281922302,-95950504,45401854,-92211989,-17337344,-1292637238,-2131760384,-394979074,45332971,-336672792,84083675,50529029,-1962888188,-2097126634,-1460926782,-1468500732,-1266781182,1662421776,-289109504,-393548734,-1966801334,-331157820,512419210,-14024631,-1583379922,734211063,2030063110,47107,1048576945,1912864841,1228832810,594806528,-218748750,-318576502,-13968246,4800128,-1325107962,-739979260,-1965782301,-789655312,-166532114,-1979692490,-757822736,-1964471584,-738250020,1375843555,6493835,-301481341,526278490,119480095,-1205929009,-661782464,520098721,-1205929009,-661782464,520097953,1344207823,-1912586056,1898348760,-396853504,-903938044,-469106686,-855764108,-855762828,-855762316,669582197,-109005823,610395331,711059191,1642382308,-169146356,-1101639341,-1024983033,610460673,7053840,-163611974,-2147454714,-1964440716,58018304,-402619159,-337444666,-1190954822,568590848,568721676,7407350,1366062464,184593896,-982230583,82039611,-387793037,-1679235470,7006208,1232410172,1364941150,6883015,12255231,1896281601,594903040,1912623080,637920030,1229129608,-387285174,1038614592,-2115753472,251685182,-486116067,-1261573370,1522859521,-162475733,326435780,-352313368,57953806,1593795305,-768910503,-464517964,-419552223,-12392415,33325144,1364444149,-397342543,551747622,2156627,52028248,-251952680,1503655174,-392243760,-906100519,-980754315,-1017423368,-101975719,-1979685703,-469734618,974136418,-1560747580,11534443,1088701414,1088741514,512476294,-668270489,-1023383645,1642352979,17628452,-1229954586,-1494727706,77641728,-1191148056,-386332672,-85852056,6482168,380656473,-956283672,-16750330,16825087,-402159066,48431157,2135574851,6922739,-2041523977,2353376,2091096,-680146677,2144593,2812153,-1336280350,-1203509584,870842369,-25499648,1371783211,-1310160304,-1663709176,-1660941336,-33544984,1492284873,-1598504103,-1207733756,-464518576,1948263522,610460922,1492808992,-997571866,-1581038874,-657391511,1912131793,135279876,-1546595847,-389873559,1119092259,-502857543,1976303358,50167,0,-2122448896,-1715633755,-8487295,-406585381,-26444033,947715838,940572688,947715708,2084046864,2097086008,269515832,2097052728,31800,406600728,-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,-960074696,519766270,4241488,173594766,-33065756,-82414388,-1594175713,113639536,-1962934160,-1962906098,-352293866,378141418,243859564,113639534,-352321424,1344207834,4241490,117430414,74776684,7210751,7224963,-2129038056,-1342149570,-955157248,28166,1812383488,-973078528,16805894,4198142,645925749,-1326448577,66238988,-1340289554,1512105504,-1513152680,-2014314242,15728873,0,0,0,1459617792,15728879,1694498816,1307574512,1106247928,1508901112,972030188,1508901095,787480824,-756023064,15728879,-218759168,1861222630,1408237822,1408237823,-1527774977,-940572432,15728879,-822083584,1397759739,1354256977,-2133291520,16777278,113663860,-1275002880,-1978610417,-400968244,-1269759915,1494273283,-1261292718,-1273967358,168873224,-1342016064,-768388576,399369266,633665114,-1023532683,-545928646,-494218702,2353234,986119770,1523611118,281871028,1734,1510664960,281871028,1734,1532582655,869211992,-1327222062,840420618,-854740764,-15593,-1,-1,-1,-1,-1,14703594,791949552,942617650,-335544527]]},"ibm5150.panel":null,"ibm5150.chipset":{"0":[109,240,109,240],"1":[4,0,null,0,[[false,[255,255],[255,255],[255,255],[255,255],88,null,null],[true,[255,255],[255,255],[255,255],[255,255],65,null,null],[true,[228,36],[255,1],[228,38],[255,1],70,0,null],[true,[255,255],[255,255],[255,255],[255,255],67,null,null]]],"2":[[[0,[19,8,null,9],4,188,0,0,7,null]]],"3":[182,[[[0,0],[240,170],[144,15],[50,246],0,6,48,2,2,true,true,true,306132485],[[18,0],[18,0],[18,0],[0,0],0,4,16,1,1,true,false,true,306212038],[[51,5],[51,5],[51,5],[0,0],0,6,48,2,2,true,false,true,306212038]]],"4":[null,76,null,153,128]},"ibm5150.romBASIC":null,"ibm5150.romBIOS":null,"ibm5150.ramLow":null,"ibm5150.keyboard":{"0":[true,true]},"ibm5150.videoCGA":{"0":[false,1,null,null,null,[]],"1":[true,40,32,9,15,[56,40,45,10,31,6,25,28,2,7,39,7,0,0,3,152]],"2":[2,3,1]},"ibm5150.fdcNEC":{"0":[0,0,128,[0,0,0,32,0,7,2,42,255],0,0,12,[[0,true,0,2,32,7,8,512,512,102,"PC-DOS 1.00","/disks/pcx86/dos/ibm/1.00/PCDOS100.json"],[192,true,0,2,0,null,null,null,null,102,null,""],[192,true,0,2,0,null,null,null,null,102,null,""],[192,true,0,2,0,null,null,null,null,102,null,""]],[["PC-DOS 2.00 (Disk 1)","/disks/pcx86/dos/ibm/2.00/PCDOS200-DISK1.json",[["/disks/pcx86/dos/ibm/2.00/PCDOS200-DISK1.json",-1200841428]]],["PC-DOS 2.00 (Disk 2)","/disks/pcx86/dos/ibm/2.00/PCDOS200-DISK2.json",[["/disks/pcx86/dos/ibm/2.00/PCDOS200-DISK2.json",-2139005430]]],["PC-DOS 1.00","/disks/pcx86/dos/ibm/1.00/PCDOS100.json",[["/disks/pcx86/dos/ibm/1.00/PCDOS100.json",807903259]]]]]},"ibm5150.debugger":{"0":[3836,62976,1011452],"1":[0,0,0],"2":["d",false,0]}}
diff --git a/disks/pcx86/shareware/pcsig08/README.md b/disks/pcx86/shareware/pcsig08/README.md
index 22357ba5f..1f9fee0a2 100644
--- a/disks/pcx86/shareware/pcsig08/README.md
+++ b/disks/pcx86/shareware/pcsig08/README.md
@@ -4,12 +4,20 @@ title: PC-SIG Library 8th Edition CD-ROM (April 1990)
 permalink: /disks/pcx86/shareware/pcsig08/
 machines:
   - type: pcx86
-    id: ibm5150-pcdos100
+    id: ibm5150-pcsig08
     config: /disks/pcx86/shareware/pcsig08/machine.xml
+    autoMount:
+      A:
+        path: /disks/pcx86/dos/ibm/3.30/PCDOS330-DISK1.json
+      B:
+        path: /disks/pcx86/dos/ibm/3.30/PCDOS330-DISK2.json
 ---
 
 PC-SIG Library 8th Edition CD-ROM (April 1990)
 ----------------------------------------------
 
-{% include machine.html id="ibm5150-pcdos100" %}
+The machine below has access to all 2,121 diskette images from the PC-SIG Library 8th Edition CD-ROM (April 1990).
 
+The same machine is also available [with the PCjs Debugger](debugger/).
+
+{% include machine.html id="ibm5150-pcsig08" %}
diff --git a/disks/pcx86/shareware/pcsig08/debugger/README.md b/disks/pcx86/shareware/pcsig08/debugger/README.md
new file mode 100644
index 000000000..0d90e53e7
--- /dev/null
+++ b/disks/pcx86/shareware/pcsig08/debugger/README.md
@@ -0,0 +1,23 @@
+---
+layout: page
+title: PC-SIG Library 8th Edition CD-ROM (April 1990) (with Debugger)
+permalink: /disks/pcx86/shareware/pcsig08/debugger/
+machines:
+  - type: pcx86
+    id: ibm5150-pcsig08
+    config: /disks/pcx86/shareware/pcsig08/debugger/machine.xml
+    autoMount:
+      A:
+        path: /disks/pcx86/dos/ibm/3.30/PCDOS330-DISK1.json
+      B:
+        path: /disks/pcx86/dos/ibm/3.30/PCDOS330-DISK2.json
+---
+
+PC-SIG Library 8th Edition CD-ROM (April 1990)
+----------------------------------------------
+
+The machine below has access to all 2,121 diskette images from the PC-SIG Library 8th Edition CD-ROM (April 1990).
+
+The same machine is also available [without the PCjs Debugger](../).
+
+{% include machine.html id="ibm5150-pcsig08" %}
diff --git a/disks/pcx86/shareware/pcsig08/debugger/machine.xml b/disks/pcx86/shareware/pcsig08/debugger/machine.xml
new file mode 100644
index 000000000..4bd4e3bc2
--- /dev/null
+++ b/disks/pcx86/shareware/pcsig08/debugger/machine.xml
@@ -0,0 +1,20 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<?xml-stylesheet type="text/xsl" href="/versions/pcx86/1.35.0/machine.xsl"?>
+<machine id="ibm5150" type="pcx86" border="1" pos="center" background="white">
+	<name pos="center">IBM PC (Model 5150), CGA, 256K</name>
+	<computer id="pc-cga-256k" name="IBM PC"/>
+	<cpu id="cpu8088" model="8088"/>
+	<ram id="ramLow" addr="0x00000" test="false" comment="no memory test"/>
+	<rom id="romBASIC" addr="0xf6000" size="0x8000" file="/devices/pcx86/rom/5150/basic/BASIC100.json"/>
+	<rom id="romBIOS" addr="0xfe000" size="0x2000" file="/devices/pcx86/rom/5150/1981-04-24/PCBIOS-REV1.json"/>
+	<video ref="/devices/pcx86/video/ibm/cga/ibm-cga.xml"/>
+	<fdc ref="/disks/pcx86/shareware/pcsig08/fdc.xml"/>
+	<keyboard ref="/devices/pcx86/keyboard/us83-buttons-minimal.xml"/>
+	<debugger id="debugger"/>
+	<panel ref="/devices/pcx86/panel/wide.xml"/>
+	<chipset id="chipset" model="5150" sw1="01001001" sw2="10011000" pos="left" padLeft="8px" padBottom="8px">
+		<control type="switches" label="SW1" binding="sw1" left="0px"/>
+		<control type="switches" label="SW2" binding="sw2" left="0px"/>
+		<control type="description" binding="swdesc" left="0px"/>
+	</chipset>
+</machine>
diff --git a/disks/pcx86/shareware/pcsig08/fdc.xml b/disks/pcx86/shareware/pcsig08/fdc.xml
index 08e2eed46..754e289a7 100644
--- a/disks/pcx86/shareware/pcsig08/fdc.xml
+++ b/disks/pcx86/shareware/pcsig08/fdc.xml
@@ -5,6 +5,11 @@
 		<manifest ref="/disks/pcx86/dos/ibm/1.00/manifest.xml"/>
 		<manifest ref="/disks/pcx86/dos/ibm/1.10/manifest.xml"/>
 		<manifest ref="/disks/pcx86/dos/ibm/2.00/manifest.xml"/>
+		<manifest ref="/disks/pcx86/dos/ibm/2.10/manifest.xml"/>
+		<manifest ref="/disks/pcx86/dos/ibm/3.00/manifest.xml"/>
+		<manifest ref="/disks/pcx86/dos/ibm/3.10/manifest.xml"/>
+		<manifest ref="/disks/pcx86/dos/ibm/3.20/manifest.xml"/>
+		<manifest ref="/disks/pcx86/dos/ibm/3.30/manifest.xml"/>
 		<manifest ref="/disks/pcx86/shareware/pcsig08/manifest.xml"/>
 	</control>
 	<control type="button" binding="loadDisk">Load</control>
diff --git a/disks/pcx86/shareware/pcsig08/machine.xml b/disks/pcx86/shareware/pcsig08/machine.xml
index ca0eb3220..1a9d7186d 100644
--- a/disks/pcx86/shareware/pcsig08/machine.xml
+++ b/disks/pcx86/shareware/pcsig08/machine.xml
@@ -2,7 +2,7 @@
 <?xml-stylesheet type="text/xsl" href="/versions/pcx86/1.35.0/machine.xsl"?>
 <machine id="ibm5150" type="pcx86" border="1" pos="center" background="white">
 	<name pos="center">IBM PC (Model 5150), CGA, 256K</name>
-	<computer id="pc-cga-256k" name="IBM PC"/>
+	<computer id="pc-cga-256k" name="IBM PC" resume="1"/>
 	<cpu id="cpu8088" model="8088"/>
 	<ram id="ramLow" addr="0x00000" test="false" comment="no memory test"/>
 	<rom id="romBASIC" addr="0xf6000" size="0x8000" file="/devices/pcx86/rom/5150/basic/BASIC100.json"/>
diff --git a/disks/pcx86/shareware/pcsig08/manifest.xml b/disks/pcx86/shareware/pcsig08/manifest.xml
index ae2be51b7..2d20c886a 100644
--- a/disks/pcx86/shareware/pcsig08/manifest.xml
+++ b/disks/pcx86/shareware/pcsig08/manifest.xml
@@ -1,7 +1,7 @@
 <?xml version="1.0" encoding="UTF-8"?>
 <?xml-stylesheet type="text/xsl" href="/versions/pcx86/1.35.0/manifest.xsl"?>
 <manifest type="software">
-	<title>PC-SIG Library 8th Edition CD-ROM (April 1990)</title>
+	<title prefix="PCSIG08">PC-SIG Library 8th Edition CD-ROM (April 1990)</title>
 	<disk id="disk01" chs="40:1:8" dir="DISK0001" href="http://archive.pcjs.org/disks/pcx86/shareware/pcsig08/disks/DISK0001.json" md5="26c1178eece4b725713de211829cf35a" md5json="afa08bf7b6a0d90e2e72d41f4795ddf5">
 		<name>DISK0001</name>
 		<file size="512" time="1985-10-03 08:15:06" attr="0x20" md5="6f80d362cd6051287e80c1cd2be89112">ASK.COM</file>
diff --git a/modules/pcx86/lib/disk.js b/modules/pcx86/lib/disk.js
index a70c99beb..b6801e2f7 100644
--- a/modules/pcx86/lib/disk.js
+++ b/modules/pcx86/lib/disk.js
@@ -197,13 +197,17 @@ class Disk extends Component {
     {
         super("Disk", {'id': controller.idMachine + ".disk" + Str.toHex(++Disk.nDisks, 4)}, Messages.DISK);
 
+        this.controller = controller;
+
         /*
          * Route all non-Debugger messages (eg, notice() and println() calls) through
          * this.controller (eg, controller.notice() and controller.println()), because
          * the Computer component is unaware of any Disk objects and therefore will not
          * set up the usual overrides when a Control Panel is installed.
          */
-        this.controller = controller;
+        this.notice = controller.notice;
+        this.println = controller.println;
+
         this.cmp = controller.cmp;
         this.dbg = controller.dbg;
         this.drive = drive;
@@ -345,7 +349,7 @@ class Disk extends Component {
             }
             while ((response = this.findDirtySectors(false))) {
                 if ((nErrorCode = response[0])) {
-                    this.controller.notice('Unable to save "' + this.sDiskName + '" (error ' + nErrorCode + ')');
+                    this.notice('Unable to save "' + this.sDiskName + '" (error ' + nErrorCode + ')');
                     break;
                 }
             }
@@ -358,7 +362,7 @@ class Disk extends Component {
              * all diskettes to their original state) and discarding remote changes (which could leave the remote disk
              * in a bad state).
              */
-            if (!nErrorCode && fSave) this.controller.notice(this.sDiskName + " saved");
+            if (!nErrorCode && fSave) this.notice(this.sDiskName + " saved");
         }
         return true;
     }
@@ -527,7 +531,7 @@ class Disk extends Component {
                 }
             }
         }
-        return !!Web.getResource(sDiskURL, null, true, function(sURL, sResponse, nErrorCode) {
+        return !!Web.getResource(sDiskURL, null, true, function loadDone(sURL, sResponse, nErrorCode) {
             disk.doneLoad(sURL, sResponse, nErrorCode);
         });
     }
@@ -612,7 +616,7 @@ class Disk extends Component {
                 if (BACKTRACK || SYMBOLS) this.buildFileTable();
                 disk = this;
             } else {
-                this.controller.notice('Unable to connect to disk "' + this.sDiskPath + '" (error ' + nErrorCode + ': ' + sDiskData + ')', fPrintOnly);
+                this.notice('Unable to connect to disk "' + this.sDiskPath + '" (error ' + nErrorCode + ': ' + sDiskData + ')', fPrintOnly);
             }
         }
         else if (nErrorCode) {
@@ -623,7 +627,7 @@ class Disk extends Component {
              * that yet.  For now, we rely on the lack of a specific error (nErrorCode < 0), and suppress the
              * notify() alert if there's no specific error AND the computer is not powered up yet.
              */
-            this.controller.notice("Unable to load disk \"" + this.sDiskName + "\" (error " + nErrorCode + ": " + sURL + ")", fPrintOnly);
+            this.notice("Unable to load disk \"" + this.sDiskName + "\" (error " + nErrorCode + ": " + sURL + ")", fPrintOnly);
         } else {
             if (DEBUG && this.messageEnabled()) {
                 this.printMessage('doneLoad("' + this.sDiskPath + '")');
@@ -763,24 +767,30 @@ class Disk extends Component {
                                     var ab = sector['bytes'];
                                     if (ab === undefined || !ab.length) {
                                         /*
-                                         * It would be odd if there was neither a 'bytes' nor 'data' array; I'm just
-                                         * being paranoid.  It's more likely that the 'bytes' array is simply empty,
-                                         * in which case we need only create an empty 'data' array and turn the byte
-                                         * pattern, if any, into a dword pattern.
+                                         * If there is neither a 'bytes' nor 'data' array, then our job is simple:
+                                         * create an empty 'data' array; it will be filled in with the dword pattern
+                                         * as needed later.
+                                         *
+                                         * The only wrinkle is if there *is* a 'bytes' array but it's empty, in which
+                                         * case we must assume that the pattern was a byte pattern, so convert it to a
+                                         * dword pattern.
                                          */
-                                        adw = [];
-                                        this.assert((dwPattern & 0xff) == dwPattern);
-                                        dwPattern = sector['pattern'] = (dwPattern | (dwPattern << 8) | (dwPattern << 16) | (dwPattern << 24));
-                                        sector['data'] = adw;
-                                    } else {
+                                        sector['data'] = adw = [];
+                                        if (ab) {
+                                            this.assert((dwPattern & 0xff) == dwPattern);
+                                            sector['pattern'] = (dwPattern | (dwPattern << 8) | (dwPattern << 16) | (dwPattern << 24));
+                                        }
+                                    }
+                                    else {
                                         /*
                                          * To keep the conversion code simple, we'll do any necessary pattern-filling first,
                                          * to fully "inflate" the sector, eliminating the possibility of partial dwords and
                                          * saving any code downstream from dealing with byte-size patterns.
                                          */
                                         var cb = length << 2;
+                                        this.assert((dwPattern & 0xff) == dwPattern);
                                         for (var ib = ab.length; ib < cb; ib++) {
-                                            ab[ib] = dwPattern; // the pattern for byte-arrays was only a byte
+                                            ab[ib] = dwPattern;         // the pattern for byte-arrays was only a byte
                                         }
                                         this.fill(sector, ab, 0);
                                     }
@@ -2096,22 +2106,27 @@ class Disk extends Component {
                      */
                 }
                 /*
-                 * v1.01 failed to indicate an error if either one of these failure conditions occurred.  Although maybe that's
-                 * just as well, since v1.01 also failed to properly deal with situations where the user mounted different diskette(s)
-                 * prior to exiting (hopefully fixed in v1.02).
-                 */
-                else if (aDiskInfo[1] != null && this.dwChecksum != null && aDiskInfo[1] != this.dwChecksum) {
-                    sReason = "original checksum (" + aDiskInfo[1] + ") differs from current checksum (" + this.dwChecksum + ")";
-                    nChanges = -2;
-                }
-                /*
-                 * Checksum is more important than disk path, and for now, I want the flexibility to move disk images.
+                 * v1.01 failed to indicate an error if either one of these failure conditions occurred.  Although maybe
+                 * that's just as well, since v1.01 also failed to properly deal with situations where the user mounted
+                 * different diskette(s) prior to exiting (hopefully fixed in v1.02).
                  *
-                else if (aDiskInfo[0] != this.sDiskPath) {
-                    sReason = "original path '" + aDiskInfo[0] + "' differs from current path '" + this.sDiskPath + "'";
-                    nChanges = -1;
-                }
+                 * UPDATE: We also check aDiskInfo[0] first, because if it's null, then presumably there was no previous
+                 * disk, and I'd like the addition of a disk to a machine to not be fatal to the restoration process.
                  */
+                else if (aDiskInfo[0] != null) {
+                    if (aDiskInfo[1] != null && this.dwChecksum != null && aDiskInfo[1] != this.dwChecksum) {
+                        sReason = "original checksum (" + aDiskInfo[1] + ") differs from current checksum (" + this.dwChecksum + ")";
+                        nChanges = -2;
+                    }
+                    /*
+                     * Checksum is more important than disk path, and for now, I want the flexibility to move disk images.
+                     *
+                     *  else if (aDiskInfo[0] != this.sDiskPath) {
+                     *      sReason = "original path '" + aDiskInfo[0] + "' differs from current path '" + this.sDiskPath + "'";
+                     *      nChanges = -1;
+                     *  }
+                     */
+                }
             }
 
             if (!this.aDiskData.length) nChanges = -1;
@@ -2167,7 +2182,7 @@ class Disk extends Component {
              * We're suppressing checksum messages for the general public for now....
              */
             if (DEBUG || nChanges != -2) {
-                this.controller.notice("Unable to restore disk '" + this.sDiskName + ": " + sReason);
+                this.notice("Unable to restore disk '" + this.sDiskName + ": " + sReason);
             }
         } else {
             if (DEBUG && this.messageEnabled()) {