diff --git a/apps/pc/1981/visicalc/manifest.xml b/apps/pc/1981/visicalc/manifest.xml
index f1fff0346f..7579ef062f 100644
--- a/apps/pc/1981/visicalc/manifest.xml
+++ b/apps/pc/1981/visicalc/manifest.xml
@@ -17,4 +17,4 @@
 		<file dir="../">README.md</file>
 		<link href="http://www.bricklin.com/history/vclicense.htm">VisiCalc License</link>
 	</disk>
-</manifest>
\ No newline at end of file
+</manifest>
diff --git a/apps/pc/1981/visicalc/state.json b/apps/pc/1981/visicalc/state.json
index dcff944737..9d03c500af 100644
--- a/apps/pc/1981/visicalc/state.json
+++ b/apps/pc/1981/visicalc/state.json
@@ -1 +1 @@
-{"timestamp":"2014-04-12 09:41:54","version":"0.0.0","browser":"Mozilla/5.0 (Macintosh; Intel Mac OS X 10_9_2) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/34.0.1847.116 Safari/537.36","ibm5150.cpu8088":{"0":[0,29602,4,128,29584,29684,27917,27877],"1":[753,1536,1536,1536,1536,62023],"2":[24576,24576,0,0,0,-1,-1],"3":[1,162297928],"4":[0,[14364995,7340351,4026589891,7340351,7340351,4026597204,0,0,4026597029,4026591623,0,0,0,0,4026593111,7340351,4026593381,4026595405,4026595393,4026592345,4026591033,4026595417,4026591278,4026593234,4127195136,4026590962,4026596974,100687814,4026597203,4026593444,1314,0,14355451,87294336,87294604,87294617,100688519,14357716,14357793,14362599,14355463,7340326,0,0,0,0,87294829,0,3674999018,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4276813824,4068732928,4294902016,4000120896,4068667392,6,4194305,60529,4514999,4194304,2080374785,4026591005,324246,0,0,0,0,1073741949,0,3538944,470614070,811736077,470624058,392765540,470618994,778252150,7181,0,33751040,65547,100665088,5244674,16384,6912,0,0,0,3019898983,640690435,268435702,468,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1651310592,538968064,661483363,0,0,1610612736,132712,4608,48194153,705233445,16142591,2,0,1610612736,722536,17152,1296912195,541347393,541937475,0,0,1610612736,2950760,17664,1230196289,538976288,542333267,0,0,1610612736,5244520,1664,1297239878,538989633,541937475,0,0,1610612736,5506664,6016,1145784387,538987347,541937475,0,0,1610612736,6293096,6400,542333267,538976288,541937475,0,0,1610612736,7145064,1408,1263749444,1498435395,541937475,0,0,1610612736,7341672,2444,1263749444,1347243843,541937475,0,0,1610612736,7669352,2074,1347243843,538976288,541937475,0,0,1610612736,7997032,2523,1229734981,538976334,541937475,0,0,1610612736,8324712,4608,1162104653,538976288,541937475,0,0,1610612736,8914536,3139,1397310534,538976331,541937475,0,0,1610612736,9373288,6177,1262698818,538988629,541937475,0,0,1610612736,10225256,3687,4196360,4259839,4026592877,455298,83951616,3966828608,3837198336,328837,83951728,97728000,4060217456,4276813824,4060606464,14352397,8978963,4064677765,460571,0,0,0,0,1560281088,235133702,2550201348,302053380,2768310785,302292228,302060033,1392573441,302087937,3305220609,302105857,302060033,4211145729,302129665,1661098753,1157784322,302060034,4227928577,4160973056,302060032,201526273,302060035,4227928577,4160817408,302060032,2869078785,302173186,3674295041,2301542656,771784990,8586892,733894347,1445915392,3955241552,2958054916,4177409,1347821803,183222322,28332118,1347814635,1774060208,1443621632,3942667710,398349828,1381060608,102651223,2241998419,516238848,1200226433,224889345,2333233035,2325156951,3828482631,4026789891,209128252,243254423,620699406,418055092,516228016,1328087169,3951146002,2166277387,2311074560,28578375,2166277422,55019776,1562314587,1482250847,1358678878,3019900859,1477496078,2232847055,3287691776,1376175662,3482321665,7340501,8814611,1329791121,538976334,3808436256,115888392,3802814720,867429368,1376159424,1975519745,186043669,1039168704,41251328,3221885104,646448245,2697134418,3221881170,28579701,460592845,108380171,382533812,4057579,2952951154,2166277392,222791680,3925830633,48824142,3338005248,86534,2397909790,436651741,113647108,522060828,652075971,1363608970,1596575063,3958694489,1879213775,2256535552,1090557696,538990677,2552242208,28674,2533394048,1297040128,538976305,3808428064,8185873,126271539,58048522,2852128488,32111330,3892491519,3304456255,1476817934,3723037616,1474872318,168266240,3893654976,3304456229,2819585025,3893064736,1072234455,3909584896,3018456923,780542,4134805672,1948304630,3032214513,4275693571,3905098957,130416670,3819694848,92939945,3892425799,3304521703,2953147520,4270254346,2464934882,2348724968,4190339546,49857281,2147483760,10879110,542003792,538976288,7341683,8814592,1347158182,538980692,3808436256,92939804,2852570695,3828482050,1946165480,2855698442,4067754242,3808311273,4266060260,1962937064,2160391923,535425909,3892491518,399375955,3304456880,2953868545,147125770,3304458612,2952950816,3284142601,7340989,8814600,1279459515,608912207,8224,2735049510,3224568586,2334530253,2334523981,1018168405,11920886,1891221763,4158294807,2965933025,65533540,13796296,3405971639,2449527427,3909860241,3515343863,65271698,13796289,375698,3364549622,3297378485,4093088408,28627083,2850626253,3451925501,168165658,2344717059,3521303002,3521302993,332596177,196711105,2347890665,4156568536,3117648881,4059496648,1919220352,1693089795,3520760565,3506483920,3979730,4203409911,3297178102,51028304,2343262379,1441377219,1879173117,2248146944,33603840,113153,512,33554432,117833729,3205165568,3304456193,857830404,63487743,410321978,449642676,453071915,3372942156,3523938933,4202890868,1191278376,8462021,3910041481,2317810948,1108005,8462021,2299357064,1334579839,4243515668,1397903696,3783314570,4177101048,4273209972,973544639,1946407686,3204805187,1022035759,146473392,21018944,3204514234,3304457349,4261901570,2210660032,3304466625,50885633,4268799945,2294480582,2106065525,139299078,2282382728,1569196869,257263629,1482250843,16908483,1073872897,4261494784,524289,1,3942652904,3439773457,3942712067,3439773446,3892314883,57868301,3925625833,113704028,4160881613,3366067171,3643181315,3906963203,4069261146,1426321667,141900561,145753206,104514553,158467027,1946622880,3955293710,3476979722,57999619,2718021352,243860436,865207249,225834962,378061566,1300956118,4157747983,3575023857,64463619,2349060513,3521565126,3521565158,2180187110,1912733638,3504244507,713077999,987662311,2315417312,3297399008,1476416232,443860010,3897755216,3347054626,6547458,3898083163,3372089366,3892496256,11796531,378084045,243860425,3287811019,2337297239,46629115,3120362379,2334523648,76228125,2870774054,4074915398,63977088,1599821825,1958742723,224758523,640337150,3761898454,3767140982,3905194576,710410251,48550084,2967399420,376321,63776394,3608578896,3523653891,3593865958,2261420803,3558247401,1913900291,2169526336,50580798,3020322049,1913900292,3783284784,702820927,33804550,3591276744,223164931,113646198,2315322326,4261664054,259340998,4130473586,64423679,64304776,11817155,1314395085,4236249204,1476621440,1048614635,1946158032,123427590,251607528,2730789383,129566293,105889536,1166716658,3507391238,3643181827,2160326915,67637312,100794371,525316,3341191692,107462403,2247994857,470058244,470232839,2231840519,28678,2885715584,1414548480,538976306,1879480096,2256535552,1275113984,540234832,4280295456,28927,2634057344,1297040128,538976306,4130545184,3767197326,222301417,1986610186,543515753,1919252079,2003790950,52693517,5653828,84216320,131584,1481982208,538976288,538976288,65536,0,33,1879168448,0,0,132608,1313817344,538976288,538976288,65538,0,33,1879130323,0,75816,66048,1314017280,538976288,538976288,65536,0,33,1879213760,0,0,536870912,541283842,538976288,1297040160,65751,27520,3087008656,889193025,14080,7045120,0,0,0,0,0,0,0,0,0,0,16777216,512,2147680256,393216,83832592,603979776,771763200,0,0,1109329161,1769691,49807579,20971632,131184,3678408450,1879130112,3380610048,1309725712,538987605,18882592,1,16843264,4278190080,256,369431040,16778241,0,0,301994238,1006633221,1879097600,67114496,269,0,3003121664,16833282,234881024,1280,0,0,3674387200,256,3366373376,3366308005,522002341,522067742,505355807,393247,1668680895,3341,0,0,0,0,268443853,4036008448,16838915,201786633,201785563,219,4278190080,4294967295,4294967295,4294967295,4294967295,0,0,0,0,0,0,0,0,0,13312461,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],1,[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,218517760,0,541283840,538976288,1297040160,5632,0,0,8448,0,637603840,18089612,3841982602,2351361330,2497092,33489153,14369405,260,4279911424,3187802367,1879213570,3674250240,7045120,1073741824,922760602,768,637534208,199,2147483648,889290753,4294967040,2785017855,10692097,17109504,1207959975,7340352,21025747,1834745968,67072,723910656,4144035590,61032664,3210223360,61866017,17743786,203,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2415919104,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4026597099,61959,87309824,14355551,14414339,0,0,0,0,4026597099,4196360,4259839,4026592877,455298,131073,3966828608,4196360,4259839,4026592877,455298,117768193,3966828608,1115488257,328837,117768304,97714192,4060479600,7340032,7341410,77328966,14352715,1115488368,3932160,3933458,722485263,1048577,76560,16,25165884,1115488256,263442,965410818,290804999,87293995,213848322,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4026531840,4194523,14412821,4276813936,4060344320,4276813824,520192,4060607001,1835056,6750215,4199424,4152143872,4064735232,28116749,458828,41877511,14352603,7340335,913922,14356635,33812994,722089174,908987568,213845300,653083788,212872271,872422656,2566914821,16833280,4248565760,1073743109,154,0,0,3019899392,2149640960,1989171196,3472928794,2402179160,2617435398,4281225466,2147673398,2005935353,3907095272,2351825116,771967006,54926985,3683568524,21038846,2734876065,3886091218,198222594,646533208,378274533,512623335,646513061,378273838,3414949936,2428294030,521075466,1049165618,113639748,3321954629,59654,3822181514,1961102076,217874459,4236249718,2147841105,209015036,21118592,3156112640,434834384,21104326,1124517376,817692417,1174861323,91553537,593750096,2822176600,3086953985,512429332,512623430,4207084360,1091501614,646655489,2385380069,2332223254,4622572,198353198,48603950,198222126,48735022,3472884712,2402159847,1477240838,1582979419,119496031,3895918382,2402206476,101509126,1448563998,1347637586,3308186347,3271746870,883363502,893596848,895890784,275320893,898184570,928724373,268187493,779948079,249048803,762515257,755707139,770781013,271191492,231149524,230952393,266276292,756747716,258944291,285151149,757797147,283389235,747318382,750529707,264244785,666766841,238555105,284102231,338890351,301796882,313332618,970734387,1003371193,989674491,1018117217,1009007870,1038302283,372118962,666441283,665528308,1070153497,298848714,342167139,286592556,1043218023,2999173170,2317293056,308144322,359858096,639154920,1242388107,71731750,2334572798,3313697358,4280477718,2298760329,1820919380,239373314,2334070467,2332817182,2701915406,99093497,39619071,2298760329,3221930756,28312948,503565289,375345671,16498207,4090006445,3284153253,15704118,906044611,3271618466,192266250,922669032,2281784992,4274193988,2148103624,2285240802,3271640598,3905159088,1153957556,2348892418,3905097812,1153957544,2348879362,381882452,3905063455,4290253239,3894702847,3526563859,637534907,1225608843,386132049,1128399221,643561442,4261693066,652489408,3892465291,1284111980,106727684,2298631305,3224552196,1309066806,2318794755,906186278,3892530339,1552875084,2394960660,704192,2768275647,2779096485,592570789,2987009000,173175296,2701490404,3271426367,272992550,637726881,2702329225,2300969714,396432453,1166616067,3304295190,3087070014,104464639,158663393,2881552043,46506155,49258666,178962686,2382656722,3103995166,2784165904,516145202,4294948871,272992550,612034755,4017289867,3289400715,3221951085,1569449336,1344164374,4029581622,109852162,501744370,113727499,4294902571,3892991464,1594296820,3909053673,4289726860,3347300978,1300964897,1976110061,8435971,1179046451,53812878,4144120971,4155330801,1523715057,1967129716,2343256577,11578050,1933638019,629679619,435218627,2283881865,2105746261,57884686,3273946504,4078865206,244004352,1105723637,39619069,3272625289,4078340406,512505344,2999124213,2317293056,273017026,2766671730,4246661142,2348969097,3224505924,3288314051,4289732374,3340498152,4278274310,1191626751,3909091073,1170610797,2105540871,141885188,4278470087,444917760,1964667368,2687943657,918749502,973151904,906326992,20846216,1019382467,909800959,48578244,3454589747,3035460111,101705729,719850357,1300244000,3224518678,1702897347,451460886,3906679584,4034006956,4008182196,854553605,99084516,29053891,261548032,1156979570,292847640,1959089694,71628313,1948212752,3945385220,583683,3905117176,4201779060,3892570960,62136277,1946530024,45373686,4161120488,1017917123,3908662308,4125828076,512306883,2351825720,3405986310,3291370246,637745182,216961,3406256897,1445050344,2415666152,3905095748,3290824728,4229359647,2348965001,3905097796,2300968968,1603020311,3677602562,3632972686,3822183377,113653443,2399076775,116797122,1962869159,512634375,116064677,2398871528,4130542684,2159672971,782627584,27723510,238449919,3118150431,3892707348,343025788,854087430,637760040,123667966,117803558,126494214,3806479111,27604735,2401653595,2348815878,2382472454,113651419,2701132199,3375562754,3264141710,3204483262,112787466,648409856,721420963,268385730,4290249590,834319,78764075,3666796755,2298480291,3338668062,3439329286,84330016,113744384,567083088,5375686,2301543371,3271664926,788216808,27604735,3271705743,4294651880,4171044468,3828484843,4294648808,4187821684,2409366665,3921876548,2884174000,651225088,4069258610,118918190,113716739,174588677,3341684912,188934,143190245,3614573488,1053153397,4146791219,141950806,922689302,3224568599,3892516771,1366427186,3288825320,637743934,17122758,3088107395,2343247918],2,[3892516630,783812229,3898256174,784598653,844759792,418244800,51844747,53690053,2314666846,2312254228,1418265172,88458756,639571457,3892332170,1340676461,3294255871,839053358,415099072,53690053,2214003550,80091886,4292208869,971572656,639691007,1377720946,2380853899,1968140808,51880269,2267469963,3221953630,3195281246,3347316107,785877790,49626752,1174565888,785288006,49692288,1174696960,187427649,858354907,1031808731,1191474176,2968972099,104476207,41222393,1135238320,1482169067,3588817840,4219683838,3677602624,1958742700,1949187174,3008541,1916861315,1166681839,558426367,844038517,3341200064,4294908998,179097323,1010791616,3906041134,179044387,3946017984,3903477703,326369211,1946172544,401124364,2867819809,1946135272,1606637570,994791363,1358525690,4282747430,1478557160,1263529588,2857364971,3925759465,1139277989,2348315173,129165554,561377650,51854987,427097867,474909478,1979709827,109635605,2348376040,1552811604,1490283278,3909464152,4181458472,279970933,1053160939,3744138035,141950803,118890262,2952968639,768319,3224546035,152692906,2382746344,2332243230,775794163,2210690336,1034755782,3145018926,113712918,131391,3322262248,369280262,1929714920,4029596838,387877634,373483523,3904909914,1053103923,56296243,3842492127,2969456361,378661635,1975519775,4179003910,4263504640,2282059208,3271620886,108382462,16389770,3372092651,378013045,2965569786,2917712895,106203640,2214431683,2880242375,4272738443,3237915336,27845682,3304982133,4142655696,2326447242,2863441368,2880305290,3939698097,2344747848,4157748170,1204325361,648848711,2903918216,652736170,2869315075,2301018371,723913542,3640069446,3906194314,1183393344,1187456525,3271557148,67896834,1082130440,50595842,378285818,2301493991,235070758,187743255,1090977334,503773953,166207254,443686659,1946927592,118359573,112845874,348700416,74821362,90540582,4194826503,1091501622,646657537,2385904357,4211271446,2351889099,771942166,48572041,817633038,117323275,117113153,3894351390,1914634940,194570445,2704716267,619184396,3271652096,507059974,108331009,67271,1048576000,1952055296,190698,3633112043,198147,650153536,16000,638219341,16000,4177687642,2160326851,1509949502,3655923828,653488895,81539,652965120,200331,51249473,243934720,243793920,3622502400,3224567808,211891792,4290111489,520492402,81539,2149413888,1509949502,2582121332,1491825663,233375664,4147308796,39618907,4075489456,1929355496,51284970,3392887296,3515548278,2010725202,2351264974,1086522328,512344206,3408592899,243869257,1303576579,7814,2000934,113714688,1,27631926,2348810659,3915071704,3230464942,4282247240,3341158770,262,2968316672,2359290633,686311616,3942806527,3906506375,4151508789,200331,1993947985,4286179740,922126312,24450700,1929824054,906146561,24577735,2738225153,1156973235,58032152,3892347113,371127928,857675271,1746831835,1914603521,23444225,168040121,3105387748,3439199502,381227380,1959591432,168671570,1265945854,3020361657,1695451270,1731102721,533498369,906022120,23608971,2147534839,3783921524,1008368104,914715649,23668352,2149521149,108332541,2718003872,646578867,3572892009,3892503680,2704733680,3032679091,179760007,4263933156,4261770444,3272701132,4280382719,350757748,591695616,3273737359,3892323304,384305151,5302294,1501379,1359395816,1494616296,1072220427,3013621248,2968089858,2402730778,3892403462,4281791920,906031926,16070399,2334070302,2298574094,2332095758,2298573582,2332095246,520189710,17712327,3906374400,317395106,1560710966,110048769,2402681077,3892376326,4281791836,3305200934,1149966708,1638086150,512505345,4281729379,2332123422,2738227268,4281729377,3271647518,4132525910,134399238,633217141,71628545,259293184,180781910,3103963583,2817720324,3306058846,4294869812,385475445,1583307039,512505539,2089419523,3234824196,920643456,50411145,784655851,1059324174,18744890,638350069,1946175034,1858348550,2314529560,2349002798,3271750150,2974830935,370585604,21741319,1353341098,866828682,3347295168,3766900744,1355056810,2360066955,1482271704,2443940523,3143618951,1472397643,145838161,4010672694,2714168064,4282188585,2205578751,202558,3287876213,51846795,57989899,3104963560,1139277825,2347528721,184751894,3893065170,113705456,4294902079,1048646635,267911955,512296050,3549102867,3941129010,1317676560,851574276,4289745389,638755560,100814475,53690052,281510743,3922837555,24357875,3237896106,88442918,3795998983,20947416,3116628032,548929540,2863395616,50673291,2208960688,1149962951,1150003990,3263933204,2881500075,3135816619,1392144922,583710,3905117959,4201781933,2682789654,3892605694,3905100409,1048576991,1963459269,19589123,503353064,53812878,3825870730,976630644,1946346278,189265452,906327048,53937918,118944651,3103963583,2800943115,2149986164,1950351229,784605173,2196243184,3955520256,243998541,238747967,74646313,53022345,48440890,243916916,3958965035,523012657,46474890,1946732022,147125769,3828533364,4236252395,2210362376,1827147718,4127683587,4278379014,784642164,2317746928,118882406,20947395,2969649059,870372100,3521171922,1586177746,3773005826,3666605047,107604051,857115483,281182979,52877827,2713911894,104530239,628359979,549684032,527620667,48963210,507167742,410125044,53288587,267975553,4219668339,3942806018,2747529639,3287810367,48963208,503398307,53690053,1107842443,105572383,2783697715,475958054,376757003,267975553,520501362,3894310541,645071346,474400550,521535488,396607539,48996867,51618632,189172518,274107174,4104307243,353798402,396477187,1183393283,3674981148,521589876,51846793,71731750,4104306942,184543234,51592841,3677541259,48963208,2299457768,3271759126,10414160,911856010,46468744,259246219,3523871861,78644341,3224552441,1950018553,906211372,46466806,169375000,1360558317,891194934,191859203,1963050486,36562947,2953081945,852617989,3942887616,906080268,46466806,4173427728,521556163,3107881116,91565570,3942756509,3288767760,503514430,3247113815,521431784,1488980487,45089908,3288777721,1191380286,512644638,4085973813,4076866489,119496356,74907964,3287859210,3224617977,49652534,3305555510,3903591938,1131682082,1017962634,1315271738,374742606,1048589831,1946157306,10807301,417876083,3919590912,3325448192,59654,1493086696,15311414,3035176798,3904909824,2977039515,4175961878,516159498,4293781590,4264959838,2147677702,1081344060,3892729374,1929838656,3911147013,1482162306,3538421526,3284205079,4110876214,214206978,509619232,118902870,1476410856,3001606259,1914658559,2481499362,1320907800,2313901598,855532520,118932416,855644351,243939017,2800943127,3897429108,975575081,4067753797,3903636473,4168423526,3103963583,317194249,1949187096,408217614,3221882740,3802793332,2210658797,548405953,521579251,3288037864,4262651934,3897951775,3364493071,1602275712,1979136775,9103619,76174878,1048583958,1946157306,118883863,133909992,3221884530,1583248501,518522646,3284205079,3897624151,123337885,3312480863,4127404862,1947208519,1048589909,1946157289,2362936081,2149539800,1349779517,4203435806,344709262,4146847531,1364611155,2332587519,4257409242,3904909914,1582894743,1049320280,4144169779,526376707,3221882250,2336693876,396421367,1692992373,3375517439,526369785,3221882250,4153082996,3237921785,1589845782,2332330527,4190112503,4029596867,2747282178,933364031,698566659,53191427,2687914179,3505783493,371508514,1460061016,29053782,476047360,2315503491,3305324830,637747766,639202697,639327628,370695560,3906679583,3347258433,1075743235,1010222339,1971922435,1569465881,1569203739,3323926040,82950,21300934,1600019201,1460060935,113660758,3321954628,83206,115923763,63406876,408783398,54533768,427148582,1010207030,512505347,3308651326,2315453750,1959073884,1569203737,1971922456,1569465881,3139376667,3471310849,63406875,408783398,54599304,427148582,1110870326,512505347,3308651332,2315453750,1959073884,1569203737,1971922456,1569465881,3911128603,451477371,2027620867,70248452,4080977091,1086584320,3287680884,842626052,11200960,3750436614,3224621619,922355176,50673349,2348381416,914797783,21905035,2147534839,535300468,1023052563,2346152961,1040398074,1995112797,1965081590,29619911,2682848116,2394983424,870288344,1371704274,3892314553,911866302,50673349,3893982405,703074725,2259965945,1312721718,13104897,3893589120,912200402,22873799,20709377,3224558964,912200427,22888067,505378049,1528729142,520456705,1493630774,113718785,334,1947876423,3758963716,535515058,222079660,80085877,3758767114,856126963,367454454,521535756,2315144168,369160246,155093279,3288954115,637732158,3206047104,3271834344,2348711912,184610870,2160162294,2147625534,113706612,4286579242,3126265425,2296906282,1493655318,2147626174,2692028988,1336548016,2447903408,3958780693,31713449,1702419210,639132648,638862729,3893777801,516097112,770187030,4085981182,440183889,1709704564,1492574741,3894395179,703331784,4075339827,918894328,786957061,3034024952,1049310855,3354853710,158629888,2333202920,1946238170,1570840539,87999489,651309827,2332980727,66185416,1087078595,3924017203,3317926430,2332095262,2832348155,2830202144,2828039426,2338813188,440369346,3109116532,2464677889,3308673528,3305309494,1189615988,4157270032,914863191,21905035,2147534839,1944588660,3342229265,16866566,1946237952,1594485725,1564377910,477364225,117388866,507969881,1528729142,440238081,906589215,21890759,3068264448,3911172747,3515613035,521598699,1726502662,2332520985,63341559,123674374,104347331,4168220958,75090174,20881462,49259062,4094593731,2297558530,2315447078,2347578056,33756438,14057684,51584651,53288585,719853795,2178909957,1930426619,2314461698,2332241182,3906767575,3224504597,3571978164,4186686218,139364902,256281126,3968525362,2337296722,2156751,443832664,4058173443,3905915738,2557739026,3993421366,3051880450,1946237968,3277505518,1720329809,1183458838,3892728577,585889622,1108112,3325487476,16969222,1007718376,3287184385,1720329809,1183458838,3892728577,3649894245,3309182495,2716340854,131698422,244004443,727646557,920254415,2835435169,1354989568,3372090762,49259062,2333623690,4127919733,2159937141,242583808,119442486,2300515843,167970110,839023040,4139968704,856257368,3959867081,3277521922,1916862083,2314613250,2734886670,378077963,512426765,512295155,113640201,3321889516,191750,3875003019,1375936419,3874997131,2210595675,1584726226,2332238243,52404688,39750438,1316213563,430175223,488016131,651201283,2718189090,3247112939,89033254,378137299,3874947859,100911243,3531800819,2702865408,3640066291,860356981,2750871506,3874947855,49022662,3821570818,87999504,1569334787,113689368,855704300,87999689,2713934595,3649766173,242532363,38152998,3626752247,3271754867,597941043,868453123,1995908818,52929282,52762249,52631051,20828277,650867968,2734835339,378077989,650314535,638600587,722623883,453189382,1912807710,185234718,991458496,2332193729,4029596872,4288407554,51580555],3,[184933096,3909711049,2968060337,12970240,51451529,51584649,52641411,3892540416,1048774177,1946157863,109832417,113696626,2315322093,2332224278,2332239630,3892515614,1347880613,4112420435,3897643520,1515978245,2317801987,3605528646,122013191,71645697,1429815669,960262664,930285661,359808,1347956340,1428902487,2346383112,2348321783,1317742274,65140482,281445368,906422737,16057998,24356339,1599735716,4622886,3892819432,2977236898,1499012886,2165236571,1930426619,4278235680,3942846726,52797826,292864011,3892519843,158467565,52233927,1860698112,87475205,50962691,103544971,3526557939,239897382,104591863,578028303,49022662,1959922433,3959866905,3391816450,4110847494,3224605440,24373713,2477519786,3364569095,4129750667,2029983813,51618068,493191462,153546752,295771461,1166616067,51093787,51189387,55117795,13796289,3816866625,1569203775,4029596696,4266125314,2332237729,3808633110,2210464632,4146462930,3632988790,24498699,1317676616,1357435653,1053034066,2334524165,2334527557,637997653,2332194551,1959922632,463683585,2747282179,832766767,3643496451,947150706,647219851,721577719,14320577,3531850499,2334911232,72214728,3085441251,856912645,3959867081,195100930,219581187,87999491,1575731971,17557904,561431083,799265331,823560451,624853763,292814851,52903555,4278875136,3338872582,206086,244013056,3706192659,320768259,286689539,1958882051,1369498400,1541982347,2742179845,378259595,1229062929,3706192756,320768259,286689539,591299331,125042691,51584651,2701409000,3221947175,100754804,1860698905,3976644100,378142978,512426731,243991315,2330460967,1380996868,1183458899,64588544,96725210,17253830,1963214138,139802898,1564020082,3339219720,16712773,3892695528,3765765566,2385926747,3892376862,1532623843,199434006,117375154,3068855057,2717848809,3221947173,597888884,67364867,52233927,3102212096,87999491,53453059,53546635,74825739,141871371,272957734,307040550,51318411,2348693481,1959398344,77115,637590147,637695735,3540340362,3905457128,484639459,1912893928,87999651,52404483,272992550,637739425,856835465,4263111113,3893362618,3790275826,3288783667,637732158,639327625,639196551,1926529,3674933232,3521693556,650308356,1997364795,8579093,124992907,3540300113,2180602351,370147303,3025191711,268418944,1477178600,6482115,208876939,3540300113,3867236834,82509839,4026590849,898232843,859227446,88393219,1048589825,369099511,1355904031,4188098899,891194882,281445123,521544840,4212558672,114178,1458094130,859751685,88458755,281510657,2114135631,92821506,1532567318,113689432,1342178039,2337427795,65589699,651310019,4144123531,1174611697,1380993286,852527953,114368,3305444584,2365797174,1482231932,1006109530,2317972929,4263450117,2718103302,378077945,843186939,114368,3305434344,2365797174,92934268,4204928790,49921794,2338019674,1491653059,4293362115,2684531712,451412719,49258507,2968609768,1720329743,21734145,21825222,1309067009,637534209,2719368842,503710040,637619131,118650565,384882664,1049298719,3354853710,3111485440,2250695730,4020246374,1495665154,1947564033,3305030401,18955973,1946436923,2201863668,4101373951,3322121448,973145925,141886533,4278470087,61138944,1963168232,2126849770,71694098,242556928,45817622,4269008896,53690053,1426459883,557761846,84338689,3347253085,512505360,521535835,22625929,2317751984,1268973926,1292289537,113705473,334,373721638,100751522,1996432926,1996432916,21740306,3892780894,369618988,1312721695,13104897,640775552,3306571402,973167926,326371908,921493224,22625989,138840614,258378278,385500553,4294948895,474383654,650314101,3273410185,922671849,855854241,378091218,602473292,3909202154,911272488,55445190,109983235,4202889637,3120788230,3666542598,1793590867,1918574574,64523271,172995,3089427288,3263377664,3540300047,3825986026,2251744306,167832102,113653476,1946157902,113653254,3892380494,4281787648,2399249718,2649297988,113126,1031862923,2198042111,1166739399,592808737,1053034179,2334524165,3816889693,2334527487,3674938197,3391823476,3389196403,2334577203,3808893277,4248561678,267976577,3750167923,3287474754,3276423431,51582603,48963210,3892388072,113640163,2332099309,2332231990,588155902,2314797827,3288533310,2198025022,1040388295,113443613,3892445368,3280797642,16057998,4270316430,24373713,128316324,859751734,274566403,4259902251,1983587841,3892539906,521536079,52011459,52011840,52102715,41353648,3892756530,512688010,3922788597,4087611763,3308652453,3322098462,2365654343,4264235127,4220254091,637647848,1912763963,34465795,4139982614,4278381830,3953141108,650182146,1979991610,320768791,4177232131,3893523215,1049230441,117375763,11535121,4160940962,1388575171,1183458899,2327903748,2344757984,47569,50087144,13992136,762563131,994296970,1273853179,51584649,2337460523,1727473345,154569474,2747663107,1515717385,503437867,3898278673,3733651473,717892547,2295135969,2332224294,1372449738,89033254,3805497930,52876042,3277392726,1031862923,2198042111,28903367,541428224,3490469259,3505050080,2330102488,3271603926,3906679635,1049230281,1381696255,3280687953,641979275,2114805307,81195,3126537087,2078806015,3240843264,6482010,650249026,3053737610,3807855104,237750411,41353995,3287927091,1962641640,3330164748,4219463827,3952280436,2346354621,4221167810,2967656587,3893362618,1499200399,4217628762,2264932328,1979648991,1053034190,3816882949,2300973055,2166757725,4026539365,492636454,1381221127,2346398551,3892510486,1516239707,3526607707,1962618088,3905391608,4164811595,1926793999,451462125,4177494523,2348184335,921955295,18955973,2294297424,1036322629,1979711363,1053112054,3277324577,1962934147,125665530,3321132289,3287411517,3895837702,520486920,3272081035,1172854763,2198717666,1299513337,119457164,557237558,8054785,2302020725,906043662,19082889,1444812011,1709716677,1476686848,1593043800,2299300127,1444807276,4270011589,1476687103,1593043800,2352777503,3341156932,654311173,4278339015,3789220095,3790268611,3308652318,906043702,18955913,587631670,898180609,39685158,885347870,1946162152,3948435460,3340721907,3355442948,4294902340,4147890155,1381090933,3264010636,1499122235,2750821315,2317746941,1053098054,4286775623,990672127,125110357,1963214138,913304322,18955973,1963480379,71645703,1240138357,4286791109,921531903,18955973,106254934,117480424,912153181,50136822,2367190527,28905565,1381455360,91551243,3958689768,4109101059,2304663386,1837697109,239438860,2317804594,1166606406,112644,141882891,138840614,258378278,3892987273,2352414420,906179870,21569164,1049173782,1049166643,3317891399,3019972926,73742591,3761907316,1161430388,2149414148,1946158461,1979666455,1763332,920924760,21169722,4289725045,1476674953,4286791109,382629375,4290298655,71665408,4118085436,4050969610,1124481590,3303699457,1569524845,139823888,2315931019,2330800837,1347508197,1392509369,4100319314,1498962778,4007841795,521585503,2701870312,512426297,2447900983,106727904,2298985477,2687894596,2965569853,3169419775,2199351815,309819385,242546186,175428106,1997340288,3894351365,381881240,185067551,2313182184,1284048468,3284152836,4253089712,2163766040,4084415737,1933377152,1694138606,1381099891,2914721558,440578,3263943219,3946375251,372688158,3937069057,1592285983,2969997291,2936442626,372688130,3935758337,3905142834,3857251482,3892767728,350813330,88400882,3531800577,3896306432,3454597883,3894733808,4243127027,3894209521,3186162414,3892767728,3974691558,3755141361,3808709769,66822,637588099,639714697,170087816,637826294,2334422408,645866696,2149598600,3788603617,3314209489,2301026954,2687896645,3905094380,4289726021,48538166,2687956082,522453701,309665596,2952793017,45727551,108375795,3808871990,1944584194,1929359595,2028210897,4029596877,3810953730,1053105666,4130734899,16958726,1207306613,57934091,907864863,48498374,88458752,2334623745,3674939164,992348532,58133854,3908861928,2045307863,3904795627,3835691354,2313798402,96987136,3330537586,46579461,1913001704,3943491821,3825920114,3116295288,47431426,4076867001,45727652,3103966910,1017905163,503870783,53812878,2854160266,1206903363,3893757382,1064561022,922730547,3672637759,863197418,49295044,2347463144,889622267,45727235,4076866489,859736996,1170613763,118882565,3204633534,230228665,3903124224,2708728556,3892366825,4289724618,3934185667,1347876978,3825909810,4020242552,891194882,866795523,197624768,2877337771,2781907885,4165241765,4131687339,2321438891,2856324292,3263899512,3224588459,2326419627,646592196,2974876439,182768132,2704714436,78709527,2321146067,3224611524,17221059,2351344387,2348018461,4282220794,3347252085,407238151,3898373568,1517421760,4069203538,2971557003,1407963908,2296913686,1843944439,3926649067,1047682823,53681861,552684672,424512294,2334526601,1418268757,1435182594,72648978,341150502,654201993,2299942283,1204223060,521535749,49295044,4622886,855419112,4289774528,73656515,3116312946,768258,2935111600,3325435252,4278379014,2682789458,4029596905,3893785346,91416801,3957997032,3948551993,1493654221,3943059794,183662052,511080676,53690053,1972046987,451092232,223230758,3744142455,3649787475,1526378472,2699608114,503536635,116785971,1946682053,926842887,3111452675,53806734,3116301195,375042,2695230372,2980709061,4089459461,128903339,2878516114,2874654771,915123115,3324379955,3288401220,637726766,1342195338,4227065939,2321438811,1594357984,922644969,21053056,3271652353,508757585,235343446,3335074591,83983622,24839878,2114881806,24886017,18495173,921132008,25036535,779420160,25731126,678757180,2097595958,3325428737,369195782,2282653750,243873281,910229886,26021513,1592208360,1493654303,3224528875,123412318,272417625,54281588,2630041972,1161723958,175374337,1111392310,41222145,3281856717,3906679635,1918627708,3892425974,3681871293,3463779132,3001607218,906619877,15603446,4291291331,2733113780,1408660709,1374214963,3413269487,2464736306,1947221221,1963146462,3892555999,1676149840,2149520901,83006,837288820,646707948,378405605,4058514151,113651419,771752257,21104326,646524416,600638282,48735022,992893084,1963149862,3886099975,3672107266,1244562222,992870915,1946372646,1275115531,3926312494,3857448704,2402196816,1929570054,1458236376,245328,1491038952,3475230046,3070659638,780744194,2169897653,2348875751,5761245,2174206814,2197880807,175440127,1183458896,1134704128,3240843265,642961411,1510106871,3828537347,106314534,3304985202,274086694,3304983154,190200614,3304981106,171369680,637726246,905987722,45549196,3039725878,1992566274,918916114,21118592,911045888,48834185,922355478,21104382,1091501622,378418689,2334524135,3439519014,646522404,2351301349,2349000470,919899844,48834187,1090977334,113653249,4211081538,3039740982,1946303490,113653259,3288269123,3974873138,1048583958,1946157380,3942574083,55445190,2770243074,581967361,920568040,45549196,3038677302,512439810,3683516837,1493178017,578077499,511039803,1048589904],4,[1946354510,3807307792,2332038329,3897250265,3797485655,110049014,521011621,2263416752,113703673,3321889089,4278272774,27598478,3151502,3024523,1490706408,45635672,4281225458,771929910,45430527,3325480955,60166,44618290,3324380277,3108438021,78118920,1948299411,871957252,2980770761,147060227,4177724532,2868103475,2209065873,3287683311,3892933633,1961361523,1174697217,3892341480,376832329,1966750848,1076643345,976619382,1979784710,2868883970,1196314438,3892316345,1015021587,1174893870,3892315065,3263823885,1324942275,18081987,3897489270,594673933,4130737269,4278250246,540809588,3957527925,1965702217,4081037316,1060940458,3397442933,2967005953,1319826208,552119491,1325036545,113653443,369164523,45727495,3105927255,2868051979,3498754098,1015046058,2760733998,16836780,3221886324,775688564,2896825461,1946218984,1958742534,1313754626,3099836466,3250528288,866822914,702912,3903499251,3485402092,2460717570,3116077995,855083778,29344704,855829248,113719039,3841983202,917303947,839049634,1979661540,130188042,2315699843,3903651684,3581078607,1347834398,3204912727,686293689,393371392,326500107,3152551702,3893130211,3325489811,369280262,1491480040,3307636790,526016002,3116304150,540835842,3113907449,250085387,1963684352,4179639301,3802827637,2898524401,1631354660,2050754162,539755127,4000591420,3933479484,1946169832,1952136421,1952267489,1949973725,1950104793,1954299093,1950235857,1948990669,1950170313,1950039237,1949056193,1946762429,3273669817,4218695484,12803132,1396395328,1027423804,1095912255,3526742081,1731677750,1412905526,204921142,37150519,3828802615,3895940662,3897557200,3277324292,540852874,2134655858,4264953204,503376902,117323350,2151022834,50393638,3897558389,3898145734,526310311,3993433654,3480551168,3142983251,837287937,4128010987,1954551876,310022,3955457515,1947024509,1946696736,1963539494,3969922746,4143451136,3364508120,132317365,2582126768,1509548799,113653443,3942645996,915139482,15470334,540840427,154989427,2958094196,4285982814,3896511576,3905159024,62651218,3939428352,65795186,3036360936,3775653889,3828545140,3286303976,244563,3142780139,3263823876,4213762128,3897957976,526310189,1444856667,1962613224,3907269371,526311645,2901576643,4168361020,3959365608,2396032246,854756288,3221925357,3700090484,3275423114,947914102,2315416589,1255181021,15507510,15573558,27967318,4163799094,2331871746,4289652981,58001980,1023387624,922317830,880739898,2134653044,138161012,222046068,171720820,456941684,4063912564,4272560499,4281526470,4164845622,3430219778,3363044154,3955752518,2958617539,4271826951,1642642155,1460515327,4063527103,3788595118,2801789323,3903468685,2287992452,3338600309,3683435916,3717120910,2315365054,3282367438,1776815536,3909791998,4092132964,4286376447,1508400304,3890765566,3986700031,4272547840,184503785,3893458166,2317746258,1931492357,1946762247,4712469,4164845622,125108226,57999114,3914256382,1331167042,2966326013,129192736,1991118563,2105550345,158599425,4074949630,3978177078,48114176,132219083,1952406524,518339,3169582050,2958020350,4260030472,3857195184,3909660925,2687958496,434713727,717982463,3892833231,48955444,3325428145,194566,259322426,192215866,904440492,4274519806,3924288198,4214947534,3355375988,4274317638,50333672,3925410545,1642659514,717982462,1226273999,503714932,4270544647,1605300807,4127683847,717947601,3915236303,1085341334,1610445800,3894281815,119537390,3923675742,4130799372,3909285910,447807098,3908999145,11598138,4279030644,861032643,3903776987,78906738,1524560104,1021348440,1007907841,1007645702,1007383559,1007121416,2953016330,3925525248,106026184,117448936,3788562896,3788628433,4006666705,3515600394,2969647265,3521171972,101341664,1455620407,44940115,855639737,3905063890,3307135062,3892385334,1528815560,44933470,45026955,45160075,20645435,909984372,2738713515,1364590907,3117560658,4059497909,3771850961,3364610257,3892416958,3922788387,3263235187,619184328,3187781888,283640217,940476416,378028545,2464678199,1582914048,2885727427,359845947,3946958891,957253878,63043073,41229488,2594357502,4041786113,3150351103,987169176,1929359554,4292733044,20387465,3922848209,2332407224,2330064858,2147563790,2445149153,3520105217,5433569,2579419018,1239959809,1238075904,2744307971,1398145339,44940112,855639737,1405258706,517965288,18233029,534706152,3752585307,44893839,372688158,3739674625,2707315487,3526558011,1073743801,2297558848,838941974,11846592,61668323,3288064720,2337689936,16759282,3221881995,4236257652,2147906874,1946157692,3221924894,1060910708,708582004,2145916532,3824055803,3221924874,1944587892,1105425915,485214475,3656108339,4270060075,2198696962,3950314750,2088825483,3816110593,24496395,1482252025,4288735427,4069199218,1944195048,167948531,2952951241,1355020547,922726481,27592334,3103791295,2935095316,1325561337,3277347320,306103376,4294935297,723918452,92013637,3946693670,1157834480,683365124,1541666304,50333189,32241912,1354979577,1912618984,92940023,4034199356,3286819890,1407904767,516175441,4130537746,1962933123,442136,72321830,3768358,3347254900,4108469800,3944727590,65796579,1509489411,4219716443,2383115028,2332140806,415728635,3287925752,3825649206,37486603,212862326,920124393,198581900,378085142,3634498516,4282902539,78644339,109897451,1049168859,2397572057,2314171135,2299256118,2349588286,504094982,198448837,536808168,3639280243,53806734,199435912,1971373302,1200236068,1947248651,3943018500,1963501797,1946265848,3829301266,192217099,198721152,3957748992,3104249346,2337669131,3745418227,2382765579,520872198,638281610,2197972360,2767389895,1053056543,3347254239,3810953731,4093175819,1053040406,4263906271,198746117,21334054,2301018163,2300978245,641738309,3289466249,2701908286,2284194781,418349829,602523531,3894351575,91488012,568919728,92939991,4101308220,4278568486,2280186930,115962622,2366504479,1173750613,393592859,3892475391,911997132,46472840,1022625256,2953082367,3955747586,4264421561,4125819507,3308653428,4127404862,1946225479,3943018500,3842492141,17122758,2178452397,370147299,3892540447,2317807412,3337093190,3905481712,74710426,3622503344,521543250,48367303,378332671,113705735,174588677,3247108747,2281824640,520872974,3745835038,3221903903,54265972,95421556,45141227,922644457,199689868,3911092534,110048779,3291876325,100725534,922695251,719850469,378091008,2352349427,906032414,199689870,3911093046,2402730763,906749190,15926927,4110847798,922695168,1371737061,3540300114,64589034,1524207306,1041025,2733163353,3926271,2149976434,1963000189,3892686855,2297167812,3908125928,1150013732,244004356,1284049899,4289652740,3906331113,250150773,651981312,97664,652792692,383314929,3943598367,4251969547,243992240,1435306987,3273590275,451419926,102265597,4250396759,326246238,2315648550,76027975,2333666947,2964712390,2963008260,2281368326,3897643993,521600615,1911053145,1943635965,3943084238,1912814824,3942756356,3894351606,520551705,1173810034,108298267,3526606899,3372095211,3372093308,2274500220,323290065,3944043795,3515322883,2300855689,1911039573,106203600,2649425033,64063378,1427317829,1021700902,2953082369,1924197121,2178517774,1962924259,3943018502,1375529968,4234274896,4117911898,859751478,169809411,638940370,3624626048,189728806,88458790,3909070849,3001806601,2317797683,367528783,72124880,3733778667,54271766,3897708151,1935342717,3943084036,1929526452,637549618,1947944330,1962281490,3943542788,1954588906,1434986067,852355867,1954588900,2110006792,1703552540,3486443525,1418317963,652667654,2149271030,3290836596,1240145021,3372140798,678822716,69992884,62129780,343263486,3803113552,3893457496,3767195889,41287600,3387670782,2750087600,4209706416,1448104529,2699608970,3892867810,3290884351,1593315966,1918458456,1173825251,1950351364,4274585303,3322377416,201418502,113640939,3087204711,1705181206,2747282177,1923219816,1997441281,1930856705,1966508289,2334066177,3137804023,3118989669,2007054041,513272577,4175976019,1979661521,1482184711,2397769648,38047583,240945499,478053158,1393391103,113653335,3893756613,1533008934,520549771,2089010062,74776604,1983686,3105801859,2863398976,4209033226,37532651,28312690,521583851,1945849064,3943084036,1975519987,1300964883,1435182617,3468617751,2298760329,3572172372,424511782,391481638,459636774,921693119,200087177,4011756598,1049179659,2352352241,3893097222,41155247,712293867,891194934,410517251,4279924735,2013208183,376962844,906721279,49231615,4046898486,3701401611,2198303320,95423684,976670443,1946349318,214205191,4041937328,4046898486,911235083,48367303,2352408063,906168086,50661063,3353873000,919368411,53688005,189237336,2400601999,1200561223,440897310,3323479951,906036548,200095429,920404968,53688005,3336898502,369165636,3909070879,3286887649,4189382866,74712691,2599092912,911340171,15271678,3792095030,3907321858,911858704,46468744,313525363,2385961195,2315466014,3303541615,906851549,20920063,387877686,10545411,4080976950,3315611136,2687937026,3114926831,3193110539,371065529,530903839,20947254,4037097131,2704714498,917177074,2869106593,2852865930,2870364043,2870495115,2870757259,2870888331,571742,540846764,24509152,2163278671,259268668,3114938032,2863398915,4208992316,844038517,334080704,918894290,3599433971,3790100034,91447027,166269616,222596050,185560260,2347858112,344593244,3306588214,2302038018,906162222,49415820,1490713576,53151431,3018391551,3646089433,16723433,17109504,117506048,2097152256,3909147458,807600137,808464432,2357211184,2396557000,2361429712,3899822086,2629593890,2384890227,1744693362,3892346856,3823632582,2384890719,8972402,3892342760,2867358019,1461619526,2313408885,1555795805,264471413,3956475057,3540114060,1569317841,1137109137,28377525,2302829288,3051925085,3892736830,4209596113,1117120767,3330563467,3326279687,162529287,2958690536,2688911427,1149764016,793020462,3892319208,1156120579,5564446,2305913019,3916525086,230566064,1826996077,4280960198,1076577478,3321889990,3279946052,1706754224,11123308,3137347560,1203399949,1501184,3127727035,233309361,1461619456,1969011317,3541680136,126407559,3338029635,3287774336,109576368,109605788,109605789,2129163398,33745245,2958922216,2634450944,512344947,4289754020,1940063880,3766919107,3907028560,91577778,2665514584,1364349891,3051902806,1568860253,3035104116,1499356929,2253937498,3905134304,350814211,3766918912,2967504464,2651228160,3766900851,2850603934,3897643777,1532559366,3282650506,2332012264,141794566,3892868288,464519543,2315298793,141794822,2315547840,2328078661,2289278982,141795590,2318628032,2322892294,2215021288,1927821425,2281746443,2960367622,1566989,1904477834,11913354,24217019,2327969483,2215020737,3909585521,109707356,3221779356,3840476020,3091592704,3892540544,2797278597,2133295219,1952240616,17164296,904469424,1568204800,109713267,3221779362,1374162040,1632257,131072,33554688,589888,84017504,1879293184,2097216512,56130,0,0,0,0,0],5,[0,0,0,0,3909091328,1861,0,0,0,0,106758144,66011,16777218,4194816,20578311,3170894593,4261441539,4294967040,255,29688234,17957317,17957138,33227004,17957410,40043099,38077027,17957138,16515346,16253801,17957138,51118860,17957138,16515346,16253193,1179922,0,688878925,0,0,0,268500991,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4294967295,16777217,65596,14369405,1967457934,158793272,3892360168,65601650,3074048,3277741831,1962999168,4185965313,3271652608,1442894568,109971031,3661133125,2313685366,4777984,3892315113,1594294276,116835166,1954575700,64666126,1963501804,3123032315,4243456984,1968049801,3892346344,117309553,117339475,244020561,3456005454,116844149,1954575700,3123294214,3287155672,1968441078,3121509504,2834039770,2969269512,64535077,243924462,1072198990,3401728,1968377598,1968246526,1968049803,3866480126,1968441078,2953213056,64535081,3405890542,3422474238,1968184969,3472804353,378129150,516126034,1967464078,3273631219,1968184971,2348644072,2339718966,3900002846,1049361771,244020551,11892046,1309575619,1344178549,1377208693,113754997,83916117,3338667753,7689478,3065051666,109790182,1122399573,1122419850,3767165412,1642464012,3104289787,4276228096,4151692286,1642513546,35556291,512314112,3905123671,12189708,3070407680,3440430336,1203356448,2347356523,16826353,3282367484,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3171234893,0,0,0,268443853,2942343680,60749078,43582772,201786676,87294171,65793,4294967042,4294967295,4294967295,4294967295,21626880,1332,0,0,0,0,0,0,0,13312461,0,0,538976256,538976288,538976288,0,538976256,538976288,538976288,0,0,855296,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,753129,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,855641319,16711680,23594496,256,216465408,262604107,100724806,80157184,87294501,186403584,743376180,16777472,212860928,42730804,4064675124,1951136896,788475397,503712683,1381390165,777016145,196417164,3005647150,375066123,1958951768,3167981061,4290445696,3444094207,1509654817,3027268096,1914817864,920126314,157752969,5892993,2971568438,3032518155,237096265,7727135,196548155,968506484,1023457289,1064444365,3233470603,1891795216,3100193582,567099904,2416266937,196157070,567099316,3443438672,4186003745,393545038,905984744,196548155,3325431157,602630,2938044214,907209483,196294341,525511,2635494655,1150262521,378418710,2335050677,1477161766,1582979419,119496031,2385387215,3104551198,865076558,73853430,1024007610,410255362,1946158397,144685587,1946159165,144030219,1946159933,143178243,3035111182,2350115587,3167850185,567083392,1303694962,2737709517,99158380,3364682497,229955726,116859341,4294904115,3979552117,158795462,1996932608,1048772618,1946159475,1929824006,2164260617,617278,166265717,3905681665,1908015604,56485896,3440116152,1012868129,1008170062,2397795673,3020501766,3340881225,602886,1845937664,4075290889,3131828994,521013487,2147692264,619070,1048776564,1962936691,150321672,3942849256,151763710,2147685096,619070,382015093,565709739,773967141,772353185,3087013539,567102464,113712910,2419,196937358,567101876,153755275,567103668,2148101281,617278,3224568437,158009030,640614145,110046729,2402158886,1476995078,2160002830,4241664,1370793459,2301501901,3020499486,3452669008,113716769,8456563,1795606062,2150498569,617278,4290457716,3444094207,1895530785,3909317379,1219821385,4151452109,1795606062,2737700873,3624078269,1730054446,1357611273,512306691,3364620643,2159857806,3906506241,3979542707,2281701304,1024029958,74776575,567094964,158547587,3909318143,3454598949,4266256386,196548155,2867333493,1763064578,3323950089,17379846,3892465128,373030447,158665655,990023912,1946773782,41936901,12118507,2283916599,2148253462,91566074,197134022,839304796,3116236809,748601099,157484686,571900,1738647027,172809,157363967,3405775336,1975519824,3441013766,1405156897,298702986,3234906320,41222948,3237921022,1985730618,3955231236,1488990978,125123,2346398667,2332651278,973084694,3020453066,2283916606,1124079630,141880890,567099060,1650312,3104097155,1051983887,3796050381,1394525177,3444683856,2715520545,2737700888,446695728,2749401600,1532493848,519815967,1347507974,1150016910,646458884,118360079,3104290751,3330473992,1487205130,3892797273,521076672,19327058,2722169946,3304458156,4127880320,2148011782,3102278517,127122944,1946273014,127385091,127837101,127968173,16770945,1980563331,835331,154025609,3180062673,4203153127,3120621288,3773302683,252114432,158629896,3020402618,3944860937,128301586,2147535592,602686,2062026100,3128093440,3102214137,201439232,2917671373,3021999104,1953053696,1019543107,4265440370,1969306820,2261922782,168458006,2198697170,619326,113706612,4294904179,154025603,2198303744,34156094,113644149,2197817719,619326,113706612,4294904179,3616261258,520100072,135314127,3120584424,1357383589,3942821888,1894635,519956457,1370771539,815866317,2749074953,1532493848,3166356255,4244302088,2684890554,1474824549,3908007422,1035599903,1698594824,57999369,3892856250,1387921423,649224,3440117688,2914698017,1381191687,2901576534,1014965328,1008038448,739342137,3771832368,50790843,3893857240,116129759,45404298,2824348109,1591243904,3277347674,154778181,3443327160,1024488225,108331012,3909672890,2280193156,2347101183,281066200,12110131,1914817858,868137232,1662946846,16824841,567099316,1052023839,1922900429,3204022534,3132650547,1458047008,514976767,157490830,3103850686,3522963974,2916234217,4225945603,2663039775,623032323,2579112397,623097858,3803849165,623163396,365109709,705110535,1057436423,1376207623,1644647943,2047308295,2399634695,3255282951,3389469447,3691501063,3892830471,4077382919,1769101063,1881171316,1702129522,1631777891,1853169764,1867445353,1701978228,1123640417,1663067233,1634561391,1151362158,1122071649,1663067233,543976545,1836216166,1700000865,1867443045,1329868142,1768169555,1699998579,1919906915,1953459744,1970234912,1867441262,1885433888,1918366309,543519849,1819631974,1634030324,1634082916,1156869237,1928033129,2003067237,544500082,1920415077,1852404841,1919164647,543520361,545918273,1769366884,2123107,0,218103808,1126179850,1095585103,1629537358,1668246636,1869182049,1713414254,2691001449,1919906418,1851868064,2691985262,1919905125,1633820921,1239966580,1919251310,1868710388,539784306,1920230738,1226845305,1919905383,10501989,1818838576,1635005285,543517794,2892259682,1986939184,1684630625,1329802801,825831501,1297040174,1936286752,1852383339,1769104544,1092642166,1717920928,1953264993,1769104416,1630594422,1931502702,1802072692,1851859045,1701519481,1752637561,1914728037,2036621669,1700016304,1852403058,946173025,1651468832,794372128,2688493902,1128618053,1767990816,1701999980,1765098928,1480925294,1353724997,1919381362,1948282209,1646292847,1948280681,1768300655,1852383348,2956422432,1684095536,544370464,1936943469,543649385,1835888451,543452769,1702129225,1701998706,821192052,1713401678,879060338,1684955496,821257580,1697855309,1815490741,828662127,2037588012,1835365491,1818322976,820274548,1635021622,741438578,1769497888,1735289204,1919890096,1835101748,45157,0,1332,0,0,1547321600,1296912195,776228417,5066563,0,0,0,0,0,0,2952866816,268,25947664,16842752,65537,16776960,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16711680,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,623852127,1162889552,606350897,979304484,1229989167,775046480,2368548,185207548,8390130,6030644,7079220,1332,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4278190080,56075,1745856256,503657473,872714637,788921605,872579932,872702981,5,0,168113229,0,0,0,1213481296,1329791037,1162892109,977354051,1297040220,1145979213,1297040174,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,33947725,13108480,2701901219,512491522,1213481296,1329791037,1162892109,977354051,1297040220,1145979213,1297040174,4294901760,393306,2364068618,2747401178,12061468],6,[268443853,2684393984,42792460,43582772,81921332,87295284,65793,4294967042,4294967295,4294967295,4294967295,1937638909,1536,0,0,0,0,0,0,0,13312461,0,0,538976256,538976288,538976288,0,538976256,538976288,538976288,0,0,855296,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,587205097,808464432,2150641712,3633236108,3230584974,1922041484,3161137896,646542236,4259869326,8382567,3892365032,646668259,2296935054,7333888,3899212776,512444074,3822155095,3146734985,3280172380,3540300047,31100139,2313408979,3337130333,2969679171,1113778177,3903741321,108215989,3914781160,2515075066,2220723010,1124075462,2952792006,1510533129,1166558128,2281812128,1149775428,1304623,3909092328,1424498244,1903213312,1903042185,3190337769,3854527757,709150316,725927679,312896,2147566790,3137384643,2847566949,2091008,3127709115,384303175,1834203904,3892621754,512425997,1555723607,432015477,2295564243,4132061959,4151607494,2281746627,2289277958,2289278214,3899950598,48848254,1569843202,109576368,2311287709,2960368670,2735114495,2258617203,3766898912,1969074920,3766900741,1381221278,3898037841,2196266421,3892540509,1583284660,1482381913,3281969286,3909092328,2258567188,3766898912,109576368,2253943710,3905134304,1364394409,1493173992,2839906907,4289652931,1939670666,141869064,2952886248,11004187,1939736202,74760200,3282650506,1939867274,1939932808,863289352,1954940554,109766794,3896013188,11537266,1939867272,401149360,2215021056,3049818737,1904589568,3254700801,109625738,126513540,2315279593,141794310,3909317824,1173749988,57966776,3138749928,662729638,1557391487,99092596,3910905857,2028470325,2316792669,141795846,3893131456,417857873,1940044546,3917483904,109641687,3314185119,2155061947,2258599719,3766898912,1483111912,3902726278,109707285,3221779363,1166673524,125097,2753465283,2330197875,2290135272,2322832902,620736965,3766919039,2329970256,141795078,1477080256,3919503494,82378788,3766900736,1963474078,1008447490,1007055425,2969728858,1915763713,2000239622,3909267714,3142647828,11862961,121243057,3768402844,41245177,1166540977,2839906472,192045372,125270588,539754929,2326349192,2856683713,50397891,4276618756,2955507035,2806351872,1939801736,1918851048,1954489353,4283689219,54264752,11534965,3903276424,2646301642,2148499571,2969466089,2651228160,109757299,3221779357,3905094004,2884108298,1939716955,3279949696,3899129832,11534759,2292336008,2289279750,2289279494,3899891206,109731017,3221779356,11540852,1939605128,1935551976,2330495502,3221792581,3314156917,3282519432,2158120320,2158185856,2155060411,3905126415,12281162,1694623746,2310299019,2322835486,3901404741,3894967728,1940784776,2277199676,2298966893,3916671518,1166671913,2025851066,2315940876,16824016,2820573651,2969613683,2820574031,432015475,2854128075,2286923891,2339614214,2322836510,1979661511,2854128398,2919664243,1705175155,2332043753,2339613726,141797902,1405819328,512476042,2313712554,2919664229,3358087539,1940784776,1940659851,3278208232,1399100904,1954940554,427343880,3901364084,3626520752,74901560,1954940554,3899753915,1944610132,1019710052,3892540674,3898303953,1760126019,2873461348,276348936,1954940554,91799560,1441268596,256356,4167323624,3125119683,276348936,3632926324,2277114039,2312307053,3279137822,1018578314,2332587133,512341085,3150148524,512360447,3150148524,2277141896,8173933,2280884124,2767453434,4203213703,3058040477,1018840458,4261836031,99203661,2289872896,512473669,3347739564,91553596,2887682379,2696659827,2148499571,2155061691,11567119,1904477832,2281746627,2289278982,3279134982,2701560568,2042628211,3049519361,3137384458,126383073,1976434243,2258617337,3766898912,3138041169,3954865121,2333051507,4623082,3247048584,1183378059,4265755392,1508537805,2665514584,1944173507,1942625929,109579440,3905123276,74579975,4177506536,3422980803,1975519347,2289217544,4185153030,3390999491,702835,3405892353,2345895755,24365598,3390998987,109726579,221017036,179427574,2280884124,2767453690,4203213703,1976106653,3422980845,2294873715,4168338438,4285196483,1942750858,930548540,3640003628,3128161723,179925995,4085750784,4093442695,2280884132,3372129786,512486517,179925962,432015360,3390998987,3422980723,2294349427,3279145990,1942750858,141822780,109605552,3287905254,1323877368,4293978623,209305608,132700406,2298458112,3279153414,1356891807,854122630,3766900991,3766919070,3051390544,1919171584,4267977734,2297853381,2322851078,3859187909,2281877619,3899910662,2253914688,3905134304,2258567201,3766898912,4134791611,41189383,2258622710,3766898912,1509901032,2665514584,2328085898,141813254,4160910784,3926297283,1929460851,4160794628,2315941315,1014228486,4160910180,4184125635,3926297283,1975519347,3859188240,1975519347,32110596,803862784,1963015168,3859188232,602536051,1963080704,3859188254,1929591923,128629522,11980938,109761281,117601253,4177527273,4177527273,1356891807,3303596166,3766900990,1677771678,3451519176,256371,3144931258,179925985,4085750784,4093442695,2280884132,3150159354,65631181,1943517952,4265076819,1944173147,2617248441,4203213703,2275734524,2650441715,85584067,1944454794,58048520,2331930345,141815814,3909318080,109772390,3901387764,1944716938,57796648,2030427113,3906532869,104660408,2666070898,3766918912,3152053840,11891691,3405891722,745794490,2329474566,2617292232,4203213703,2275734524,2650441715,2665514584,11593866,158911998,1183378059,4092150272,3909520127,2328398451,812905222,2160129736,1525163893,2330626816,117571654,1681704960,1680607090,48824753,2332078336,4622570,3455992387,719970165,9299968,904397683,2877693,1183509131,671558144,67598792,3909202276,11599874,1183378059,4265755392,3907089869,2749956224,17492221,3053395689,3120607496,3954930657,109757299,3901387753,1945306762,24438840,2160457411,82315124,4110513152,4026960579,2330495603,141813254,939947456,233423848,147163648,2315744704,947119622,109757416,2150396916,109766794,2150396906,24438840,1944500931,3044274363,2043543046,3284154371,1183509131,2617719296,1956465482,109757420,3221779434,3237350265,3909317952,149488781,1086387712,1407779700,1944632317,126486709,57982984,1258293481,4067806718,2315545833,1963338949,3901408001,1944716938,109635584,3321263082,3106108800,3221749765,3787115289,2617815411,4203213703,2275734524,2650441715,2298478779,3916687134,3870949411,80054899,3049818630,4085750784,4093508231,2280884132,103587322,797496199,1975582283,109757433,3221779430,109709940,2150921193,1944651400,52291779,1929309160,4225951747,3908859369,3722969871,3892540414,1743387604,50456828,3908571112,109707907,3901387754,1945372298,109635584,2998629321,1944828531,1381172917,2330626897,3221749830,3364495732,3044270522,1364349702,1183509131,149457408,3892540608,1515782235,4265820763,1508275661,1128422234,3396718078,3908832744,3216767845,2316219763,1958742023,583939,1976434251,57403890,1942554250,204269568,1944716936,2977162938,4085750790,2768108167,4203213703,3247086921,3983917064,1942488714,1944651400,12276675,3067447808,1944702976,2329084172,2019830979,2328362500,3504525528,750947030,4261705828,2328922822,1975519425,1540589532,3489662858,74605628,3338560556,2319648648,1022361607,738685540,3909203556,11927554,2319648648,1975519430,149472230,4145473538,1944454794,58048520,2315445225,141815814,3909318080,1961425743,3926297089,2330495603,678687750,3372648680,1945221747,3111383227,2275147782,4261054451,4085753075,2963143303,3943073792,3037180275,1944173320,126484662,4026589392,124937276,28730412,3053454057,1124567040,3866480126,3681929726,1944585866,611696648,3128158139,129594344,4085750784,4093508231,2280884132,109616634,109736929,3237901257,1942554248,2306077371,2960371486,2969995272,1941551987,1364396213,3128156603,146371514,4085750784,4093442695,2280884132,2159648250,3250213120,2938014579,2969995891,3907553907,192413015,146901593,1374194408,3137369320,146109377,3221749937,41093002,3905971204,4266329992,1508996557,3922773386,512476021,2303423407,3144920862,268334001,126376793,1976434251,1941093265,3111379386,2275147784,4244277235,4085753075,2325609095,745785606,3926296578,4267501683,2331803880,1014228486,739209828,3859187812,2281812083,3899909894,3133406444,3267064811,2969995891,2315302259,432015560,2984807115,2330626816,120193094,125421608,28402692,2969567977,2297072384,1111687238,3782594046,3909520067,2330495603,812905222,3355871464,1941093235,11540149,4265805704,3287905741,504629760,1178350120,2321832528,1014221830,3892670988,3287939576,109757432,205288396,3924297330,1042937,1944454794,1929439464,2294544386,1534322182,109757433,205288396,3387426418,977401,1944454794,1912647400,109626113,4183520230,3422980803,1913338995,1913404432,4188465155,109605552,904492006,9955328,109710707,2598925296,3271652096,2281708777,2322851334,3899912198,124977289,1944454794,1006635241,2315548017,2289296902,3899912198,4183554323,3422980803,1913338995,1913404432,4183222275,109605552,971600870,3859188224,3532915,109710706,753431536,3271651840,2281708777,2322851334,3899912198,124911643,1944454794,1006635241,2315548017,2289296902,3899912198,4183554239,1920154819,1019475970,2952950640,2328099186,3899909638,109576197,1019442150,2669113968,2253447302,1920154848,3766900745,3916607646,2253914116,2965610208,3138041088,126383073,1976434243,3219702777,4168411640,2331955176,745794054,2044261893,104645377,3135832946,2315302391,1944173512,11586305,4266329992,3925440969,11598628,1944651400,4275955907,3908665320,2145974327,4187220217,3908879336,2330525626,4223789305,3908800488,2699622791,3909520121,2042628211,4185122822,3287913192,4182698067,2969003240,4167886849,134711899,1394309312,1543061992,1392516328,3908799208,1357445487,4182239481,3925573352,3706322910,48782327,1407450880,3120003304,3126525958,2275177441,4244277235,4085753075,2325609095,3926296583,126501747,1944651400,3504915267,806552575,2828894,3303588608,1426661119,16915993,3102262016,1547773183,16977423,2900935424,1612727551,16857351,109757184,3771757546,1952646792,1944454794,225643068,3555199664,4211206391,4269040571,2281746447,3279153670,3925280488,2984835823,3909520125,2042628211,4153469187,1944454794,58048520,3908535785,1491664824,1296171775,16977942,4207273984,2969070568,4153206785,3908665064,28375165,3908534760,2783508631,4139641083,3908483816,3035167395,322092022,3909022184,1404827240,4276676627,3908798440,109771403,1139307619,4167690487,16713448,0,3909091378,2179529015,4281264383,3908725481,434699564,4200720639,1944651402,1952974472,3908463336,109772358,3221779560,4289726585,3908503016,4025022507,4195281143,3908575976,887684856,3892490490,636024574,4131252475,3909038568,196147148,2683760104,2253447302,4212058336,2665514584,2258567724,3766898912,3908490728],7,[2253977579,20750048,2258571124,3766898912,3908548840,3572102592,4209174783,2968910568,4138788865,3908552424,2850616748,3892424953,3102275234,4207339767,1944716938,2213077200,4153272566,2331485928,1014229510,2316006401,141813254,3909317824,109770330,3921376230,2148005491,3640001140,1356891807,4176011398,3766900981,2298007710,1936976390,3893014536,2162751058,2162738169,3859188476,1728481395,3909519988,1711704179,4114278516,1944454794,1952777864,1944651402,1952712328,1952712330,1551482888,1952908938,209043464,3908414184,28374439,3287682536,3908373480,669578571,4161202429,2431125876,4119718133,3908425193,109770119,103576554,91871478,266928304,3049818624,1944173312,126536449,3637573840,1952712328,2968834024,3909519360,2419059,1952777866,477478920,1952843402,242794504,1952908938,108314632,3925163752,954791065,4118866421,3908983784,1592326347,1678150398,2290099316,3279153414,2331738088,2289297670,3899942918,3236494540,4253214964,3908881128,2045310068,4187416829,1743258800,4240042229,2331805160,2675172870,2253447302,4108970208,2665514584,443799760,1356891807,1307107462,3766900989,1926811806,4097501187,3925289704,3637510151,770179955,3926297336,2042628211,1946106887,3270915,3908329192,1958477138,4237879315,2331524840,141814278,2316992192,2675173638,2253447302,4102940896,4092068272,3766900980,3909519518,1745259123,2330495604,812902662,3909519592,3790127987,4126009596,3909043689,1072231443,4090161407,3925863400,2028533996,252,3276800,4268157184,2331682792,611576070,1762035840,2281746548,3899910406,190315607,1179059790,2582118400,3895423990,28374051,3908340200,108263052,3925087976,2112418910,4239714547,3908532200,2917725579,1762036479,2285898868,3916720390,4108845059,3926297331,2042628211,1929329668,4086687774,3908864488,3048993679,4224509971,3153282024,3286766558,4167231739,3153553128,133592169,3892933696,837351212,4114475260,1953040010,3901390884,1944651402,109635632,3905123305,233373530,4229097719,3908378345,109771256,2149872617,1953040008,109576368,28341225,3908300264,326366704,1953040010,109592588,3722998889,4160940274,3892315113,109769575,3221779434,4282124153,2397635443,4077250815,3908827624,129757951,4215072788,3153245160,870847536,4157794555,3925268200,526516077,138294086,224329473,189137679,1445462017,56433938,840564481,322715409,201261056,1560305182,805241097,1308954881,872415504,221649243,16711944,0,4278190337,0,65792,1111638595,4278194242,555819297,16732961,689594921,4294902114,958356503,16646731,873091925,4294771250,990127652,16515388,270868305,4294593583,1598051327,19147269,222826496,21448024,1029772543,19726368,1109466880,17378653,1193030143,2378524,1079181056,606733663,1661206529,1296849164,929300225,924262402,660013057,237850927,65281,16777216,1493106689,1345082888,1593835850,307516695,939524609,823345951,1375732023,926298687,889192711,1498823200,4278190093,743835738,84560,1310798910,131371,1480008513,88109,235214341,70241,0,65792,4055099647,109605808,3905123302,1957753257,1944454792,4168804547,1944454794,91583292,48854192,2289283072,141813254,3504915392,3859188472,1953709171,4026960388,3766919027,3907028560,2253976011,109616864,3221779430,4172146883,1944454794,74740796,1945110154,1356891807,2833834118,3766900977,3859187870,3284142195,2683571176,2253447302,4052871392,2665514584,4158384323,2328035699,3899909638,309590211,1945110154,1945680616,4161923081,3925856744,1491599385,3859188472,1945156467,2258569018,3766898912,1492211432,1973346438,4282443782,3892315113,3221815108,4290111683,1088947058,3639133183,4288211191,602408563,256511,150939624,3924345792,3892540159,3905158947,2078865339,3892737791,65666822,4278904832,3905142792,57868265,3288270568,1945587944,109757185,1899787238,3823634037,256510,150923240,921224128,3271652343,1944454794,108360252,3925789160,3454533635,3284142334,74776636,2143380864,2147513064,2155852645,2155855973,2155856229,2323629413,260719407,4130835011,108298437,3913449192,3247046658,2294564232,3321282117,2150986816,4135633229,74719429,2160086400,1947256310,3008200708,147191424,1300236916,3321266373,3271652368,583353738,1166590277,3209021121,3279259648,2305688763,1166720093,3192228036,3766919107,3907028560,2253914433,1166581472,2315302331,376749000,260754177,1127189059,1922436745,3321245578,2147972368,3917460325,1300234244,2680389811,2253447302,1397903840,1922440843,1526731752,141777242,2665514584,387577,2665514584,3825189880,22584,1746339840,403898446,134217728,4278245399,6437,2721280,385613824,134217936,21915671,1124567643,41533448,2800280575,4294044159,3221751690,3905094009,3913547673,806158322,2684326121,2253447302,1098770656,2253973642,199859936,3907553792,3894952303,548464778,24759806,4285262019,2332030441,171752261,3488154485,1964260353,38463747,3275833320,141888828,2952814824,310307085,1356891807,2800279686,3192228352,108380168,2665514584,3372139513,2344502664,2253962333,126394080,3160246595,1166722040,3192203972,79423626,2026765934,3892808200,1933770773,2316268276,3456024173,2965569913,256032,1405351027,304539729,4139998041,1971372357,1702937345,1173782465,58032325,2332015593,4282172229,2328035701,1569375101,1372711103,2322465979,1160430661,3225810622,3892737152,65622725,1387980800,4139664778,1954594885,1392371718,3892315113,2160284390,2155921485,3279995213,2143315328,3087004905,3766918914,1373668944,870863698,1499093842,2665514584,2667689923,2253447302,1397903840,1532108264,2253936986,1371774688,2108745866,2327201066,1078585544,292997176,46238291,3632971589,2328067466,1376315589,2680379739,2253447302,3026029536,146425226,1962884288,1920810007,3979864067,3048885642,1837611776,1174326017,1305018,146163082,4128011712,1971370309,3766900742,1489238430,2292113542,3026029319,3026028867,4172697086,884491658,2873460991,2875556035,4294949759,1940659849,602409648,3093659901,3110436991,3076882559,2286274175,1837611776,3048496521,3060631677,4290397638,4291684547,2332017129,171752261,2447901556,985893439,141931589,1161480074,3271652789,321619,3286922075,1018578314,2333373565,3221795933,548406388,2303395720,1174320221,4190369974,4240238787,3925791976,770243878,2953540160,4293781519,3909009640,3905158765,24330254,677153731,2315672713,2258615109,3766898912,1916817896,3893342219,2598960262,304867582,2665514584,4177327848,3766919107,3907028560,2253979329,3739852512,4263555326,3001595461,3058564862,4041786360,4286114047,3966822595,968558194,3904628762,109576368,669545580,3766918912,2967504464,2735114240,1812367987,2042628212,3766900750,3892359326,11598882,1478034665,3281969286,1953113737,266865328,4278839548,2147533800,2138336806,2144494976,1946512872,4127689273,779387072,108392508,3909361384,3913023592,3237355636,2317055040,1021322472,2316793280,3038717125,3150481920,3405860250,2149844874,1300235381,3619389650,774367305,4127440104,1954599493,1022552078,219865984,1006443238,3909032675,456976484,1239944821,63564008,1625883507,4287097342,1929545448,83421193,82314357,1995031296,3766919167,3907028560,91417494,2665514584,2298458307,2339668742,4185156134,3766919107,1021347408,3893261573,4289783812,1953236616,1953113739,3766900931,645972894,3900666990,2109074339,3050401160,1892662143,2966379913,1124567295,4185247230,2305709243,11586909,1421606581,1867692654,2336425864,4622570,1976434242,3026029555,1867652745,2305871803,3278787614,3766918995,2329970256,3221803333,243274357,3900732526,2280193895,3766900797,1108382,1489984907,2292113542,1569276679,3511549647,2337456987,394972509,1261931075,1183509131,3905116672,2867396407,1037690902,3892321512,4108926377,3766918943,2967504464,1829144831,3766900852,1304734,2670446568,2253447302,2281746656,1484025094,3902726278,317200894,2281746432,3899785734,233373792,256042,3895068649,3941133174,2282795049,3899785734,62598709,4261906546,3041124173,1944173062,1183509131,1975519232,3455992325,3871011445,2330626931,1882980422,28639858,259575294,1183509131,1124567040,3746430538,2315251177,130473309,260066303,1421591424,1125616238,2336438154,4623082,4050968636,2160129619,394925685,2335672899,4623082,141950780,109580464,3277550082,2336039400,512351581,1264284783,1884272971,1843941715,2321242368,931808023,1364410691,1183509131,1019225088,2317186432,4134825222,343179456,3918221657,4127213194,141852864,1323881351,3270912,1125616210,378091402,2337961074,1400139550,2330626907,126353478,58064700,1107301865,512447299,3221779570,3833058073,1864272219,4288080244,3119012697,512475964,2394584175,432015474,3892540115,3905108976,1284193589,677153604,3892365194,3280662666,3498756096,2318554249,3221762628,4282129780,1149901171,1958742067,1933589522,1864272654,1026025588,1953439369,2952793577,1864272833,1124567156,1953439369,3527800515,3894113664,3491969600,512327966,2183039360,1006444031,788340361,1614814719,2447965983,3766919141,2967504464,1946585343,3766900852,3527800478,2670032000,2253447302,2281746656,1484026886,1017045126,3909317923,557580741,3974693749,1965964289,36563203,296812725,21824443,3143259083,3405860116,1356891807,2253971590,2258607840,3766898912,3388885579,2253916793,4243103456,991750652,3799320378,1953760906,3935037578,805324426,1490254056,1017045126,3893523774,99154189,966191333,4280119101,820580016,1966881792,4176996373,3907317736,1950169472,494485021,3910119679,3247046679,2952794089,911629,149490864,3909857280,3387424771,1930378468,3923774469,2258567183,3766898912,199815088,3766900989,4244957342,2147519721,2340403045,1421528413,432015470,1867692755,126538497,2319419971,4209240280,3050265995,940018431,2282058984,4294306095,3445459907,1413268362,1156056437,1271134716,1125616203,3330946954,91607048,4194054888,1569278915,3478489549,4177504488,976677059,3909066985,24321373,728754371,3053229544,1944173318,3221751690,126487924,1140622824,4134915582,1124074985,3900034558,4142415592,2155113990,2565342580,3905157631,1702952805,1390968759,3445459731,1312605066,394926965,2268564035,2332014035,1961375751,1127188486,3909088489,3689544635,2302886713,1435225437,1125615823,3125491592,3221778004,1387975449,2345861487,394835029,4164388931,516417731,2364015731,1569440763,991422671,243272563,3900732526,2615802747,3479013689,3909058793,108200021,3925568232,1552628106,878479656,3896122856,1569390636,3897248717,15210278,4281723391,3896111848,753473316,3815696639,3893771752,1911089356,4186040571,3924353256,468254487,4177687808,604474051,1971338432,32110596,3905157376,24379368,980937155,2328714635,1968454851,2320220929,529156871,3624466570,4292864195,4108846707,957671930,2301123723,4038079580,3908985576,925775780,1223229215,3271652351,2301779083,1911043676,3893326623,4125686475,4269140194,3912820201,3287810049,3941089456,3445459958,583763,3892605787,3287940715,3897360571,24328137,1294318275,1929385704,3247096577,334020620,4271630587,674712552,4177469335,2332078531,3935013981,1006651018,4177688063,619219651,1963407999,1166689053,1977104564,3041233425,175503416,1954596342,3921934338,3913416708,3935043536,1107314314,1954595062,3921805045,3739811773,671934464,3892316648,1994930353,4294044151,2330071784,1170646853,3221749927,2258571380],8,[3766898912,1492673256,3919503494,1173751895,460685474,2158183926,3555198580,171436058,2158314998,1676150388,946857994,3892315113,3216717426,916711497,2166481024,1233265263,577708569,4246761243,4246292779,4246292781,4246292771,4246292782,4246292800,555305256,1530804976,544223009,991981325,3288227137,3897155003,1882142309,577187104,1126214210,239345879,848250190,1193337926,1967726971,1303989582,1381160784,1800622019,1580422228,1478541142,1146561281,3169386075,2290135287,3585837637,908322891,2149754125,3908969125,1300297639,62619832,4125157377,3897291707,3909039625,3150182291,3686419425,905504843,4261490265,2281707240,1307156293,911396,108314632,3902096776,2666072466,1270856503,3894871272,2258624856,3766898912,1491155944,3147751558,129311066,91555642,3372139914,3455994819,3915117173,2258581270,3766898912,1018905994,2953147653,4111722528,804609512,2253946950,1421582048,2315302177,2328560072,4110149895,709436484,3142341191,2800241178,466479142,1558709875,15919415,3895930088,1552615800,677153074,3140953065,1525172872,562971445,1327613522,3980796329,2562457120,645130314,1914279912,1912814602,1011083270,3892884713,2313762458,1252375350,1379216616,3141738934,1387331105,2952790761,2688911427,3909680360,3082492195,890234954,1294062401,3908968923,1702893850,2160295841,3279987021,3892905960,3051945987,888334390,35783169,4228063802,573834273,4263662342,3916238270,247332867,675580525,1964131386,2330495503,1144663620,3909317138,3314155588,58050814,973093865,58134596,2281714665,230565956,4140034413,3916238270,247332867,675580525,1144701182,3909317162,1149763604,1829617192,2968954089,675579905,3911795848,230618777,1236002925,2968948969,1237760912,2952791529,1237367680,3901375880,2582128013,4128892982,1166674613,1962884291,4133152773,3314160821,3908455144,108209411,3909629672,1038628349,581242164,33983231,3766919026,3907028560,1166680689,1954364598,2319813164,1912735368,3127740347,2108715523,1958102314,2315302161,4085750984,4093442695,2280884132,4289764858,1183378059,575858688,4092068723,3766900981,2025851038,401729795,2290135235,2766768709,1283963903,1043584232,878060311,591022115,555973421,3908969339,1170669121,1149895307,2294873640,4266002500,4067789645,1843940942,119793973,3916238526,230555651,230577773,3892555885,3857201222,745692695,1971324150,1997945872,1912683555,2294349343,300483652,2001353728,1913011219,1426491407,2281877613,1157497924,944891950,3278704062,1953834633,3139726824,1390955237,596659251,4263862355,3897226682,364586077,611051595,1929602024,80668931,3190459624,57896205,3892359401,12312718,677153024,3908349672,57877462,3120602345,2277188942,2354940269,1929104104,1019316768,1008759808,2332652801,2347297909,4292143360,158663228,3907941771,3353935998,19523839,3909075433,1170604323,1149895307,776208936,1149815038,1308509736,1324316043,484501582,2330883467,1149775428,1829617192,3892379880,1111285278,4142408565,3967126272,2284733578,230565956,1566829,3892331752,1972044001,675610350,1970081214,3753371862,3893794537,109764036,3221779357,2344812917,3899946278,4092125086,4292995389,3892360424,3051880593,3892540183,1149829093,1829617192,3892354537,2062032909,1962884096,1963015254,9431078,3908293352,574414276,2850554741,586541277,1270111627,574359434,921174901,4265994482,3892322025,2733171015,3909317398,1592328093,1894400,2464744307,4133349631,2330526579,3967126527,3190310142,1122528525,3282072320,1446115304,3909035266,3991462267,925713713,1412900942,1665537113,753467156,3905157394,854127459,374597632,1323828083,2615551,1944188136,4282640387,256195,3892314344,904462125,3709790429,58006332,1023356137,3271652621,3909085417,540859680,742130292,3287810676,3923574760,1095041005,1163313492,1380930627,1347769555,4292035916,3897229242,884679309,580642891,3894862523,57868704,3137534953,3253226249,3892736814,3303617214,682354688,3169387379,3893997568,132706314,1111577841,806176076,571289900,1163267362,1380930627,741346643,3967126400,3892353512,571338982,1431571746,1397050448,2150379533,3907941771,3488088194,572657136,1413563405,741346625,572656944,1552646157,677153070,770749928,221260849,4000680832,976635018,230565956,2336649837,1149955189,675579950,3899461054,1329787026,3900706132,2646334472,2148005491,753468276,3967126272,976635018,242362436,3899461054,1972043820,675610348,1972099445,675610350,1970081214,4032358563,222580549,795339136,708199562,3237881924,3916238270,921175792,33983006,2042628210,4029999123,221260849,3605561378,4029212676,3279949090,821043688,2045280300,3859188239,1919958131,652065600,61931701,91490106,1976172107,652131319,126536449,1356891807,373088390,4024961397,2148348399,3892315881,221310950,3766900864,174057630,3906971368,2148397014,3049304515,3893669892,3353872004,223743471,1936900992,369193332,1229193239,1129742406,1179206688,1061573200,2159034175,3911640762,2159018021,3911643066,2159018013,3911641530,1085276181,3911640762,1085276173,3911641530,1085276165,2284252346,2306111238,3899947030,1827205487,2953016096,1166721795,3766919080,3907028560,2253970188,2042339040,309543,1134298938,1979310237,2025731,3892509160,24313891,3795139,1019412850,3137959184,3303548913,3271651903,3421029369,2984900656,67175423,1996917254,1967144052,2164688915,3598452,2328035699,2289336582,4168382214,3058010819,3640032556,1954285192,2305656763,2322889246,2322889734,2315302344,2339665670,2339665942,3916724766,2159032771,1953957512,1946144488,3150182402,115886931,669210927,3664701695,2955960808,3905157379,24379315,987490499,4173529459,2766688963,3935001328,1006651018,3892802573,3913477709,3588816880,675676718,19414788,1057171519,675218984,3657361663,1939670666,74760200,3287876272,1946091496,1963146255,3909267461,3901358084,3287876528,3905094832,3925356542,95485888,1085326329,1953957512,2301029562,2306111510,2322889246,2080803009,4282902644,3766919107,3907028560,2253928942,54304480,2328035701,686406632,1011025802,940668159,4128077032,74809351,4294437187,4293454147,1356891807,2958286982,3975997450,552466920,3075309696,3991988352,1330795077,2149595730,3766900827,1979661470,3990677520,542060361,1869771365,250183794,4127689216,125141184,1139636456,3909087977,1609095977,3648710703,4193223400,1631717315,1768300644,1847616876,2154130785,1818838529,1869488229,1868963956,2154065525,1634030092,1919230052,2154983282,1769101070,1881171316,1702129522,1684370531,1766065536,1713400691,2154589301,1986348054,543515497,544501614,1767994977,1818386796,1344110693,2004054881,543453807,1970365810,1684370025,1699881088,1864393825,544828526,1701603686,2035490688,1835365491,1818846752,1141735525,1702259058,1920099616,58749551,109641600,2380821632,1954397144,1954547702,1894407,1954547338,1933138920,4274120717,109609136,3925439389,2331508737,3279192070,141893692,4269047483,3287833351,175377724,1929390568,3921894146,2142961691,2148005492,28314997,1954416264,1929384424,3150142210,662729855,2281746559,3279191558,2155118523,2109440015,4163883124,1954416266,527745032,1954547338,1356891807,548462726,1543468008,109627274,124941440,4269047483,2682352911,2253447302,1954397152,2253924304,2680397536,2253447302,1954528224,3145672576,260076669,2281746560,1484029446,3281969286,2155118011,3905126183,1055457283,496035886,3894248936,3941080466,1074980909,3892463336,1702887501,334004131,2571471360,158646280,3895664872,451411974,775547187,2141545856,3895312616,11546182,2953069704,88377344,4261436392,1149896004,189020677,1157558898,71600644,1913275450,775350498,3073267689,2320413440,1340645445,3894456383,2464759631,776136733,1189610354,2571471360,158646280,3895640296,3135766585,1166721842,3766919071,3907028560,2253914120,1166581472,1525203871,2317120301,2258615109,3766898912,2955825640,3934840847,1491978728,3902726278,4140034811,1954587461,3991454465,3940608045,2328035699,2258615109,3766898912,1609043888,518378,2665514584,3907703529,3035164054,423880922,2318205160,3221760324,1149896052,1975519272,10479875,1912735370,846774280,3151667432,126513667,427343880,1126051304,2322851514,619219463,2297072511,1245904966,1954596342,749857006,1837811966,3909136799,4030464440,2151435380,1166681973,1975519391,2504362499,376767804,3044148155,1007127040,1124496639,4108961278,3905260287,585755399,1972386816,3007706650,2316334208,1014104838,3892671743,4218617869,3892315113,3905093637,3150130252,126513667,1979661379,1405351938,1542082792,3905155187,1149954989,1958742057,3007706678,2315940992,3905995845,3186157706,692357866,439091381,3321759102,83884009,2328398362,1958742213,1074548999,1508513000,1074577802,2330594536,3221760068,2280134004,2323689946,3221760324,3232825972,61866677,3271620584,2318135528,1144663364,2315875625,1144663108,3271652648,2301123723,1166683228,3766919099,2967504464,3910461445,3909057512,2253914157,2229903072,733735145,2679850378,2253447302,3893014752,317253878,3766900736,3916032158,1912735370,2286006467,2328046916,171752261,1166674548,1958742175,4099860483,1018905994,2953147653,3916949536,1912735370,58245128,2315275753,1014104582,2317317504,171752261,87823732,2749893749,1277698281,3917488169,2548563973,3917488873,2419916517,1166680437,1946827963,1963277335,3917539341,758065184,3917488169,1944584198,2150445033,3288252649,1018905994,1007514634,3892933893,673245534,2149591382,3910765544,2280129552,3036917977,3921719554,65536000,3641567488,1356891807,3897680006,1482231522,2292113542,1837631301,139298822,4128201960,1954591557,138802699,2953147776,3905415200,134628746,2315679168,1166579013,1963342854,139296772,3859188288,1919958131,3007706685,2953147776,3902793792,1944454794,28378806,74805564,11600822,74806076,380700086,74806332,397477558,1173800586,91570184,3908429905,3921775193,1166672701,1963146246,50718979,4256894133,134711916,1258649024,4118138366,4263669128,4261640653,109709637,3221779433,1170605177,4273340187,2282309002,3221759301,3455977081,50647286,4263789960,188490829,3455976050,1157809546,642091015,134825354,2282059968,11541573,2317174152,20710981,45091189,2149666176,1006638057,2953409794,558727168,452992,706889098,3221752133,11534969,1008747912,3037032961,527272191,34030986,1160387397,3909318940,359989757,2149664246,1173752180,57966623,2281853417,1166548805,524616224,1173809290,712343585,2031961346,30664963,1173801098,443908131,2149402102,1161434228,2316268322,1157768773,952696347,3909317320,3314155953,1931494714,558233100,3909317760,1166541318,541403680,4226351993,509968385,558233215,2316924032,476941000,3221800330,209043850,3221809290,1300235892,3372122142,1074284022,1166541685,59674,35407242,1157767237,1827846941,3498705078,205312769,1381197683,4265803957,1930181824,3912206341,1532690420,3053826131,459264,1913273584,3054119943,190721,126353590,4266328240,1541831114,126353584,762638344,3137342393,4256853244,4085750892,4093508231,2280884132,28351994,4262282632,1173752133,108298275,3911337470,1340735134,1827847166,2953469321,205883404,1308500144,3892738074,4125746845,457570047,3038147712,507901485,2315875456,3221753157,816841333,2129184138,507901670,2953147520,3866355760,3894177162,1173749882,91521055,1659383472,4261458150,41426245,3253209461,541982438,2332029161],9,[1474830445,3007706624,3897586816,11872311,79415434,2328559982,3388886000,126489720,809271076,775746420,758968180,548406389,2133067656,594878524,2319696382,1014965255,4263015728,3247064001,259256376,2133067658,125120572,2957756926,3272050720,108580350,3909092584,1405353974,173902673,135021962,2316072128,1308508935,173902092,2952790761,3862358016,4139998041,1954554181,6088963,2149795318,1407779700,592281600,642091648,2953266568,155551745,2969406952,3852462149,2149926390,766510452,3152385256,1569287410,2282532874,1166675013,738243876,4261771274,4294437317,2258569732,3766898912,3221800330,3588752244,3766900965,3855542686,3471392432,3909520101,2025850995,2323625241,141814278,1007648448,2315678977,2322851334,3895111912,2965628362,3845646400,2315340264,2317296647,3150482152,3455995173,133565816,1124365696,1140848617,2332028905,3900646407,133621009,1124365696,3053449449,1301986048,126536449,91521060,4142409904,652788708,1850915584,3905772937,1569444020,2302886861,126537053,2319419971,1962412248,3479013641,3909096680,2328100833,611372806,1971338432,3895177221,3905152189,971515581,1851046633,3541680136,24072890,3025505235,2286098312,2025850935,7727116,78975664,2582233265,1086387963,2414412661,1979661312,4047291137,1019412853,3892868592,774825158,4140007470,58007744,4143919337,980750528,3137940968,3364506900,3405840565,611453756,544411196,1356891807,126541958,1491355880,1017045126,2953147659,190782,921189808,387556,787023754,2011743204,2151628772,3554928835,2315269608,393537543,4265803957,2148005573,3456039028,4269008570,1259108557,3934979978,1241532040,3288330473,3892317672,2850563881,777817081,3274202249,2328714635,1066025735,2965624970,2215020544,2231797876,2248575092,870693748,2952837353,2231798015,856210292,3892355305,15263191,2181466362,2298458228,2960425990,2231797760,3058010740,58031420,2952830697,2248574976,19327092,1954678410,209240072,2957643195,2231798015,911732,108363836,3913942971,4139450371,355199049,1954678410,108576776,3912435899,2151415821,1874527861,256290,3894568891,2258567233,3766898912,1491429096,3281969286,1954940554,477413384,3716868234,2226782391,2966618481,1963407904,3455994629,3314218869,1954940552,2967870185,2248574976,2298458228,2306114566,2960426782,3125119231,1929389032,216646401,124928,387267,4175762152,2298458307,3899950598,2213073487,345565204,109757432,3221779357,3706193273,3905157631,4000514098,1929474792,3498108970,2305656763,2108732509,2327201160,141657094,2316399808,4268852230,2215020744,3892671601,4017291537,3288317929,3897168827,1273500729,589752340,4248038427,2153265165,3925816262,367525943,877658403,53783810,3842257886,1911095091,942336206,2045297656,4177228544,13625539,3287874419,1018578314,3892671869,3287824409,4175742440,1954921411,3221751690,1166673524,256425,3903341962,540855864,2134640498,99156851,937879552,2258617336,3766898912,1954940554,1166723210,2968029878,4175964285,2101135360,3471313266,3766900791,1489238174,3902726278,3287868357,1929381864,934799363,2108736504,1974879546,2344876290,2320217181,3766918919,3907028560,109765710,3221779590,3364495220,3632922805,2243559607,2329084273,1272154871,2280884124,2767453690,4203213703,3766900893,2231797918,2248575601,2294349428,4168386054,518339,1525154675,2328098871,141854214,4177688000,2231798467,3813402737,1954940554,11913354,2322695610,1138395902,2280884124,2767453434,4203213703,2248575645,2294873716,4168386054,2215021251,2042628212,3444500483,3909017576,11587740,1954743944,4160752616,1954743946,24756232,512476153,3825169543,3894656488,3454533649,590080035,1021683688,3909317887,2311311567,3144976678,1569287764,1901116365,3906166153,3102264532,2722494160,2333766784,2322486302,2160129543,512429429,126512726,58064700,4177314536,3445459907,3795027,3443886683,58054712,3909092329,1569456107,1019448019,1259893840,139134858,2299164096,126538589,24509500,20179139,4177518569,3892555971,3236495579,3844532479,1971372278,4235585543,3271568872,24510268,1086387907,686294645,1894656,3762090020,2062091125,1021322240,3909318080,132645140,2301004544,3491621236,1137532299,3445459267,3840075971,2319648650,3906505279,317203337,239790288,3905094003,2562394772,178548,126536449,41533448,4131636217,41189383,126534648,3121841640,112292838,3388869813,4265810808,2668071629,2253447302,2340365536,4622570,3766900810,2042628254,3905157345,3353928836,3766918916,3051390544,3150481920,3405860099,3221751690,1971372278,6547459,2665514584,58001724,1006646761,3909317898,1676148782,2328398591,1849480005,1357448053,3051475199,1285274368,1435224833,2617422291,4203213703,2275734524,2650441715,3285407113,1020478858,3271652688,1272143243,139134858,3892540608,126493048,108396348,3906166153,2344877846,3280655197,359944252,134711883,1259238592,2329107849,3908602399,3806977928,3790128127,4277201123,3364495140,2595946677,2328559949,3152138247,3405860029,2319658890,618498623,3892606240,1405345628,3908994792,1918567299,4273596675,3286191080,48853424,2675093504,2253447302,3470256352,2665514584,1944454792,3404223427,1569283022,2281746687,1569391173,2319664077,1066025735,126539914,393605180,1929546216,4276667137,2332652034,32046941,4294109663,4261421545,1166672453,3766918914,2346747472,3897818973,2304507415,2253979485,1166581472,3738888194,1929578216,3988505521,4288538887,3892734395,3169386391,38111950,3150914025,2296907757,38111999,3922662888,3921400636,1392553993,1356891807,1055449222,3766900942,3909519518,2953229683,1944173155,1183378059,3455992320,1068562037,1944716936,4283623771,2953443259,4291553791,3555197360,3892424910,2565394126,3487688957,3906138088,3001601948,42592461,1156121459,30205954,3905094003,1055392413,3893129730,2598948799,3520194767,3909087209,57803367,3271697129,3908919016,1618084443,1912709608,38922331,1173771891,1349877761,1926586600,1702937345,48791299,3894505986,2258620528,3766898912,1489893096,1990123654,4217211656,132714494,55410688,4292536704,4140687080,1971323717,3447449610,109605296,2344842214,268368733,4278017419,4250069255,3892426473,2260458421,4284320020,3288240104,3151732456,1569264809,4269992191,4242139331,1929500392,2289217544,4185122310,5236931,4226286963,2328099072,2675172870,2253447302,3447580896,2665514584,443904828,3908872936,91423143,4194184936,14674115,619185522,3921934846,3538419735,3892671232,3287940631,3908863720,91357571,4194175720,3905157315,3905147840,1894317171,3892867841,4108897587,3905157629,91422870,4177565160,3909520067,2366015603,3456493684,3555199091,8448253,3982329,2377845620,2148005492,149488501,4257015808,4177553896,2330495683,2675215110,2253447302,2349239008,3766919028,2329970256,2332461253,1955380084,3145672576,1569274296,4255836415,4134833339,58032135,1493008872,2292113542,1484033030,2292113542,3279194886,4134833339,57966599,3150751465,268334219,2632516468,1955380172,3279949696,3285382120,2298898875,1709768541,3905157373,2162752443,11921868,3892375528,1836195729,2301123723,3890756700,3771918587,1568010300,3908820456,1994916052,2337436191,1552492636,4224510014,977159306,259341380,3127719611,1821011253,1829682751,3137342697,918187317,1047300717,2288848318,1569260653,4250241531,977028234,91373124,48889776,2281811968,230555973,1012697965,4163394697,3427854531,2348513001,126548829,2147567094,1161432180,4177687300,3925848259,1161429001,4177688068,2667688131,2253447302,1776833504,4261638907,1482359365,43966598,4161243143,3761170627,1964032246,7137286,4177527529,1963605187,4214024197,154977272,602407797,3334732283,2315422533,1820998724,1044678718,1178365064,1972063742,3914223342,1569455930,1124567757,3632938890,2705716931,3271652480,3894239464,12054516,565202867,788850771,3896184763,2958757353,789375008,3908022505,3186100609,3757304075,255594276,1569394549,1125616333,1112225674,1183509131,954778368,16181469,2680357235,2253447302,463399136,976965645,3909040976,2253970719,3287916256,1490884328,4171161734,911555,3905845225,1496128380,996748091,6285567,3905094003,1144833772,1161561204,3538440053,3335186650,756767720,2821405592,1001095739,4282094363,3894190056,3287927507,3906647272,57868428,4143968489,780760,3906643176,57868412,2684346601,2253447302,18344160,2665514584,2282308866,2397571397,3150182400,1927826683,3271652123,3905566952,3521642589,1011249691,2147972398,3917486413,254083056,1166677365,1963736076,424015372,4261639296,3655928141,4127240447,1971329349,155581955,1308551306,2332850188,797444701,173902147,4261413865,3051949125,3139839,4273718264,4288604236,3905094003,3049507615,976915,1166544048,1827846924,3272236425,4005240757,2281746540,3455992583,3905157493,1166723437,29423113,1166689140,1975519245,156106268,3127702459,196701426,4085750784,4093442695,2280884132,468295162,155581952,3127704763,196701437,4085750784,4093508231,2280884132,11574778,1183378059,155552256,109639888,112554986,3127702203,126514150,3364544720,3771785424,37996544,3934995207,1241532040,3866480126,3905713129,3871014753,1827847027,3934979761,1241532042,170655925,3321759096,83884009,1127188490,4265805704,2330165193,7596550,155551936,135087498,2317710784,3221753413,4089126516,1827846764,2617248697,4203213703,2275734524,2650441715,1166540976,156106264,3680889027,3906805736,225574937,219783144,1312439630,3924361021,3676170266,417907705,3905157339,484973423,3766918912,2346747472,1552492636,459139122,1476864232,1939792006,449636355,426174659,2168322432,1967013257,4181458237,1480071997,3302156542,752402664,692357184,2328145384,20752965,1166684021,3635144873,1009337482,3909317123,4072348295,3067120189,2329084160,2839906871,4026548268,57819196,2283433705,2011703620,4267370692,1625883507,675579930,58048520,1008359145,3909317375,1166678607,1964719273,440789251,436257784,2187873844,3076882588,3674466431,3906968808,1441328640,3974031556,991481832,454770208,1042710590,3905157375,3287932891,3911132392,3236429830,59875,3909078761,2850610212,1480071960,3763202303,1592264307,4293847519,2346761448,1552492636,412018740,977175309,1563311747,1051269950,3770804479,1760036467,4292667871,219706344,1966751349,1048189758,441313535,1357431800,3746425055,2969551337,3692620016,3336544488,2315422533,1149776964,910460978,2337144390,1313796469,3906990056,3437821976,3743541503,3909059561,1552669604,844925224,3923761128,1702952838,1284210660,911510324,4030252426,3247052917,175296568,2162445696,2285259912,230372436,3764226413,3247096824,410374200,4030252426,1300236914,1820885220,896829495,2305625787,3287867485,1569440761,147294852,3271652800,4263774090,130470026,931808000,2298480582,3899952662,4218617863,1922041486,1829617347,1955464842,101380132,259290255,1955470987,2315182976,3514076702,2328071915,611618310,2399537904,4177687924,2383842243,770200180,1435193857,214076032,3905980929,2304377126,1517587990,2340443529,1098029070,1922567817,1569440760,2384365952,1829617268,1955464842,101380132,259290255,1955470987,2315182976,3514076702,2328071915,611618310,2399537904,3892737396,24313876,13822147,2340443529,1232246798,1922567817,1273545720,4177688320,1370307,3905045480,3263824052,3933471012,3892314298,3287810222,3117112715,3221749762,1569311513,2384366027,1829617268,1955464842],10,[101380132,259290255,1955470987,2315182976,3514076702,3284373227,1003183499,3200502109,1569418509,4276322447,2307874185,2339672094,230600285,47725,1922569865,2749946508,3377826048,2332037306,3511929181,1539542763,1002555368,1937018910,4280018964,443942,3247177984,2210500161,3823698627,1829617407,2298478779,1569423453,29590473,2315182976,1569442141,3411904911,1922041486,2334573560,3271557142,1476902,99140352,2416348672,1381221234,47953,3111426234,102629392,2275149599,4244277235,4085753075,513669767,1493638918,1405311834,2562412882,47732,2617249977,4203213703,2275734524,2650441715,3277544025,3280163155,3540300047,3657521643,3286421851,42681798,975717514,108146756,3916238270,4266000394,3967126349,3287830094,3899461054,1284184006,501764400,158554368,2305625534,401092684,3766918935,3907028560,786962368,3766900743,1170654110,1157497483,4177687848,809798339,1932018746,675580419,1982481466,2294544642,1149773892,1308509760,1323005323,2315302478,3271436628,2315255995,3905955908,3540058739,3604013776,4067803144,3620791248,2438302547,3666664075,3542737617,3822183377,22733777,3666629587,2348762600,2438302682,1996545256,3287898883,3901707659,57802961,2311321947,2304493917,2900902492,2925366270,1922702985,2298478779,971515996,12314626,2344812915,1128498269,2340707721,2666049109,2347397632,1435189852,1078758318,2317896841,1958742209,2328493643,1958742213,2966289981,126372608,2315749451,809777857,3314166131,1932608570,2336901666,4623082,11536264,1183378059,2336375552,4623082,11536264,1183378059,3913960192,1821048765,4289718593,2302827659,1284222557,24569920,2345227659,3520761050,3520276962,3521368547,2585168867,432015474,3489969619,4275818735,2281207245,2552138707,432015474,2552138195,2328098930,1961900231,3280651009,2344865848,512328797,2830857358,2148499572,1955468939,1955731081,4134840507,108363783,3925729256,3666542599,2319652746,2383841591,1829617268,1955464842,101380132,259290255,1955470987,2315182976,3514076702,2328071915,611618310,2399537904,2333766772,2339671574,3661220189,300418675,3271652096,2155129019,2615770919,2416348927,378127218,2515039382,4235389181,1569394547,3378350510,1922041486,4194127592,4255377603,1955468939,1955862153,1955731083,4134840507,745897991,1955468937,2322402750,611618310,2399537904,2333045876,2155122206,512360163,3956372622,378258318,870872212,780797,378264203,394818708,2335672387,2306119190,3195309590,109735181,4028920974,1955530250,512429940,3816846478,2384366078,2397819252,3053564611,4244170752,2348538088,2306118678,3195309590,109735181,4028920974,1955530250,512429940,3816846478,2384366078,2397819252,1284096963,2438302512,3666664075,3542737617,3822183377,3058951121,30509568,1523778003,2292997513,3448374605,3788505269,3280655824,1183378059,3347726848,1183378059,3405857280,1963281918,1149944809,809777704,1149907059,826554921,1435183219,2363132817,702730714,3521368531,3051606499,676104704,3405892353,1284120459,30081321,2220722635,12305400,2220722432,3186148345,3138089983,1569259520,2384365954,529253236,2307022217,3195309598,109735181,4028920974,1955530250,512429940,3816846478,2384366078,2397819252,2382793411,183510132,1970573062,32110852,3200514048,2984799501,2316530687,254050885,2963228040,33982704,2416348786,45859698,2837350770,4226476148,3044317883,2836826894,2332527220,4622570,108330812,3455992387,378138485,4282152105,2984784244,2383841787,1829617268,1955464842,101380132,259290255,1955470987,2315182976,3514076702,2328071915,611618310,2399537904,2326426996,2322727430,2282693864,3314196293,109637668,109998594,3049484944,3748497548,45875120,2953283698,33982704,32031602,230605568,4278904941,142951818,3893458368,158596038,1922041486,4190018536,4293257667,3908676584,2258567283,3766898912,1569412467,2582139780,1569283065,33983108,1022370930,1007514624,3892933648,2666068356,2812415,1356891807,110026886,2565370512,3583764721,2665514584,125108284,1912735368,3906331624,108199975,3908655080,1552678769,777816360,2316469736,611451398,33982704,2416348786,3842369650,2665514584,2416348867,3873302642,1912735370,4028950666,2292139274,2339504646,3314189405,4030525476,1166676085,1124567199,126353584,1922041486,512345080,2830857358,2148499572,2305950395,2339679262,2306117142,3899959830,158595428,1922041486,4189964264,2383842243,378229364,2830857386,2148005492,378087797,230585486,2382793325,183510132,1953795846,2384366351,4276322420,1955470985,3280923601,4197771354,2332035305,394812122,2302117955,3195309590,109735181,4028920974,1955530250,512429940,3816846478,2384366078,2397819252,1956166595,1124075462,2332035014,3044322326,2330626830,2286092358,1962884103,3455992325,378138485,2258597036,3766898912,3153726696,662729896,3766900863,1962884254,4282902787,1922041486,2179515384,1892661971,1912735370,1081413692,2328972798,611451654,2297072511,3141664838,11891203,1971324918,3321774854,2332030441,1958742213,604473874,2297072511,1112211526,4275129854,3119412685,1508404822,5630208,4134667195,74809351,4294437187,3713894723,2322486969,1927335943,2148005390,1189611125,4294306048,2315263209,1962884103,1978612764,3401734,3489663465,1927336160,2615299,3892323560,3404267536,1892662271,3150929289,1569287764,3263873997,1183377803,3330949376,1183377803,2328051968,2297072391,1111687238,3285274110,48857264,2281746432,1038650181,1205798159,4249341979,2152193293,3909044189,1166719640,1975519371,2823129606,2315256809,540846405,2134640498,2196243315,4291750350,1942951144,3499223045,3253322745,2965633279,3451447296,3286927592,2315255739,3279203870,2315255738,3279066134,2298544059,3279065630,1922178699,3892319465,3548844105,1922178699,3541680136,1256784757,2329118464,2258615109,3766898912,3894653011,512478578,2319676590,1960315079,1944603402,3462457550,2340429882,1131582494,3624454026,3897231988,1273548382,2149595854,2451474779,3461408882,2665514584,2345514728,3497170974,3503804643,2329399523,3041833927,1913273344,4262079494,2683730373,2253447302,1019579104,2669441802,2253447302,1678150368,1958742124,4263555079,4843723,2665514584,2281709545,3043779590,751173120,1930050570,2680946424,2253447302,3905260256,2253914149,518561504,3766900736,1566878,1922631306,242597896,1922565770,108204092,3897405515,214159091,3471697968,2311308286,1166726493,1967340704,1832237839,2322413242,1284124780,846129,3127719611,1821011253,810322481,2295819656,1569314893,3679816153,3934978224,2952808072,3646786304,3924297608,4212582584,2317756018,603980294,2416348912,1962949746,261416983,3906297227,158584100,3893338088,1122569962,261548047,4275658123,3611658759,3380021050,4275789195,3628435975,3010922298,2316248297,1014228486,2953146992,3284142080,1944716938,1077682180,921176946,2289217724,2960385542,2330495488,141814022,2042989248,3275754498,3901390628,2149900496,1944651400,1059374474,109633540,2160292842,1700946252,1632403564,980182370,1885688352,1769234789,1451255662,1702194273,1836008320,1684955501,1128407098,1195787588,1380994377,1465275475,1632403501,980182370,1885688352,1769234789,1283483502,1818583649,1818318464,1535141237,1953064005,1866956893,980382752,1869562656,1852400754,2154132577,1819305298,1952539497,1394621029,1668445551,1634869349,543516526,1159754351,1380275278,1885688448,1633905004,540697972,1735549268,1914729573,1701277281,1885688448,1633905004,540697972,1867398478,1634222880,744843118,1379750432,1952541797,2154133097,1651469383,540699745,542056515,2152079442,1970040643,1998614125,1752458345,1701139072,543973750,1701081679,1377843826,1384137504,1818321765,1092631139,1468026144,1868852841,1210071671,824202784,1428181792,1953059968,980641132,1444956192,1310736928,1952531584,1394621025,543520353,1684107084,1952531584,1869357153,1149264993,543257697,1702257011,2003782784,1914729061,1952999273,1818838656,1869881445,1634683936,1867284580,1852400737,1867284583,1852400737,2150244455,1701603654,1919903264,1986089760,2154262121,1701603654,544175136,1701602628,1182819700,543517801,1936291941,539915124,1869881433,1885696544,1701011820,1818576000,543519845,1701603654,1869894528,1701273970,1769296256,541884532,541335635,2149785681,1702063689,1149269106,1952803941,542277733,542277699,1919885379,1414415648,1300255301,979727983,1869760032,774778477,1182822228,1634562671,1142962804,1226852128,1377848352,706749472,1634484864,1132489582,1918985580,1886999680,542711909,1663070068,1768320623,679505266,824191299,741947193,825768241,1718571808,1918990196,1916870757,539784052,778268233,538976288,825049942,844707383,1296189741,1397052461,1350574164,1953393010,1867259962,544367991,1751607666,572533876,1970562387,757083248,2149982252,1852404304,1176517236,744844393,1769099296,1919251566,1769099392,540701806,1970562387,1919885424,1414415648,1350586949,1953393010,1766203450,1634624876,1484809581,1769099392,1919251566,1953459744,1634038304,964720996,4278834776,3976264704,84461831,2248867338,4244700688,1108681984,773152533,3709160213,758589460,4231503415,4097294903,2755149879,4164399927,1208885773,51509777,3272744978,370331410,2601488911,302961167,1662277906,1746169108,3088417301,3308825400,2184784696,4286775086,2164228482,8421504,0,0,0,2633003,791293227,1009527134,1010712124,1170296381,3528413778,1322079571,1229837904,3628158414,1263488844,1329844309,1104432725,1095910742,1313457479,3544334804,1137592659,1096078159,1230193102,1329807822,1096040915,1196379342,3461132337,1355831365,1381061577,1431459028,1279346373,1330562387,1314081236,1163086273,3528413778,1338265153,1137068498,1397706568,65477,2155905152,2692776064,2694881440,2694881440,2684395680,2694840320,2155905184,11331712,2163821952,3897274299,3504929345,4041468106,1642660723,3764226826,3907804553,1552614633,677153078,1945309672,1972093697,4143952108,1954604101,3909201925,1291714563,4131751990,2285126794,1149957189,4114974774,3916238270,2545549493,4192200779,1929383144,1300284161,4289757431,3892350185,2663055426,145745995,1380865347,3908980315,820510770,1268956106,1124637928,1532120661,1314590030,4283328027,3904109544,3840477678,1829682175,3137340393,1569287437,73394412,3287925752,2146919808,2146985344,2147050880,4150624451,1267776127,3908662504,24379297,3967126467,976110730,24260676,1829617347,2301648011,1972054108,676134638,3899461054,24375914,4165828803,2281812096,1972106821,776243948,2331264392,3372101700,2348107144,11595381,3190310024,1239969037,4114975411,4277421354,3880093888,3135832949,3967126281,2163623414,1166673524,256500,2297775498,230565956,4111394925,142951818,3909318080,31984021,4148557557,3892540544,1569452020,1125616260,4132124554,1954608965,47625,2286098312,1435061047,4032662002,3904038888,1435235540,2220723184,178515,2280884124,2767453434,4203213703,3142736541,45706455,4085750784,4093442695,2280884132,2304482810,1972105309,675580652,2297840938,1308502084,1829617383,1972090485,675610350,975717514,57880644,3204399337,1166699789,3766919075,2162198096,3145769805,1173770783,158695672,2158052854,3183149941,4181715023,2665514584,3903014280,3119111419,39839962,3152760041,1055410732,452856,417858418,3303588843,4007127240,3905094003,540722878,1246608256,2348294376,1552495708,3765799738,2330293641,1166554692,1829617379,1944989928],11,[3857236737,912034778,3894959241,24375526,2681027,3287810675,4276450699,1157510212,910461494,1965704250,911015427,4265231498,230570564,3812964973,3287865202,2345151208,1552497244,3686721576,986075624,1552646176,677153076,3906711528,774817346,1552646190,677153078,3906707432,540722738,3017795712,2302303371,451422300,33983220,3796207730,108576776,3909103080,45809687,1892661874,2617278393,4203213703,2275734524,2650441715,3766919160,3907028560,2253969984,24354528,11004355,3905437928,4176016345,3684755675,1354465205,2281746544,3455992583,3001612661,1851046880,2345491849,512341085,1702915922,1300266936,3924328633,1962884297,1019225173,2152101248,3900749645,2531832891,3008358624,3897189819,592315861,1360417361,4283971611,3909558248,938016746,3136016384,3540086864,2155876224,3900684133,1387921446,2329084271,1066025735,1726535818,3763857607,3909093608,2783510436,2344876249,1128516957,3285015945,3134021003,3221778004,3334722329,2315422533,1149776964,709114408,230556786,1143653229,944015418,2337144390,1313793397,1021461898,3137959168,1552482304,6350916,2298478779,1972058204,2281812192,230570052,2960844909,149046666,3893131456,24365387,3991747,3892324073,3485201261,1912781424,2617278393,4203213703,2275734524,2650441715,3935043504,3892332168,24376164,3765799875,2317894910,1144662084,1829617206,3287855990,2335726731,3347727436,3901417472,3355493258,1284098186,114878532,2302303371,2263361628,4106414322,3272007656,2328714635,1066025735,3905149066,109769329,3221778946,115868536,2951407616,3908241385,2749953180,3365332998,108396348,3909529576,3223636292,1853194300,3909076456,1972045617,675580652,1928611130,4129387869,1954608709,4148557339,3893326976,3249602470,2957182856,3909585137,1166671936,2681333,1995785530,4182111753,3909317760,1161429036,4128404981,1971385925,4165334540,2315482496,65664069,4131717632,3190310024,1552641293,844925224,3909049832,230557429,4270319725,2331997929,222096453,247137909,256365,2305625531,3150179933,4276636748,1392264707,4283623248,3137370857,79254584,452864,3109305531,1374158850,649685,3897325499,367588613,3909317588,2364069224,3609454789,3897306043,1948386245,1412376147,4283705901,1929453288,3795203,1877483184,910461634,1915241530,793020969,3895018632,24314076,927238851,1915307066,3289901067,4275566824,3883215172,4142402992,675610306,166317941,452608,3920552936,11535574,3905039848,3287879402,3897319867,485029005,4095338693,1939670666,57982984,3909083113,2277224124,2954791277,977012,3924297330,4294306261,3923162344,1391001450,1969110016,4974632,1631354660,3743679090,1124338408,3863499735,1407011923,1163124818,3697169379,2965078099,2953838196,3905157214,522453025,3272257731,2965573040,317244187,2986772480,780404,109762698,4169823410,2332292585,2339680286,435729493,1476817619,4187938950,2954791875,1124567668,1957699209,4259890168,1939717037,1954547702,4282575107,11584504,2952790761,50759808,4275628405,978604624,3337114170,3907905779,2344812915,1552495196,74836022,42681798,976635018,91433028,4184673726,1308509891,1324184971,3150182478,2042252166,40167499,1146400339,2082690180,1450658851,4267086161,3897246907,1843983229,3909317586,3787183072,1265482315,1493319144,3908981925,3085501342,236972045,3102278515,884720595,4082362443,1943163880,3551979779,3689421232,809798336,2317894792,1149776196,2907367465,1939670666,58310664,3892369641,3001549822,33983215,1978678386,2672134663,158646280,3892410344,3488143301,66512896,1965640958,676134604,2481504629,827797441,1330065165,2688912000,3904977128,789430658,2961199687,2705716801,2952950912,3240355917,2315295208,3221789253,1793590132,2571471368,1651818504,801200616,1173782616,141852827,230574261,387437,247355061,239372909,3188474922,2258595085,3766898912,3806905738,3766900928,3621185694,3892335080,1001390163,3904950504,1223165985,2655357440,91602952,3202890672,2638608064,3892868224,1462747394,3917483347,686292995,2156544,2147485929,2138354470,2147485161,2155131662,1930207720,3003577866,57966708,3285363688,2196311472,2504362688,578076680,3364487349,18961595,2668071627,2253447302,3233081568,2152089391,2665514584,3904920808,2749956050,1128738752,2470808192,3906422760,1149960130,323226130,1284194420,4843536,42681798,135414922,4263998656,675580104,1829617238,3892330472,1412415598,83254912,2953147776,190792,3897972400,2213068813,4266024703,3430255437,1284197966,649224,2298891403,233384012,4274388480,676104641,801125864,1051754584,3904889064,984667540,3149912297,2330479381,3497191665,3991470963,2914576593,109576624,334066869,1273084672,3897262522,2656632894,3723034198,363063571,4269061563,3324802319,3032158215,2148005492,130421364,1266268672,3153147112,1458064162,1042929,3137275846,585649017,1261091825,3287368936,3908114664,2112418089,2303557803,126507904,2042628163,1979595824,20900099,125173052,2139710848,1023404009,2315613695,3277039941,1161461540,2315875754,636070213,190720,384385859,2839886336,1173753717,57966729,3920306152,48824332,2151891712,3917515085,394985388,2268564035,2313420755,1435208029,2354416052,1166540976,2869618830,359996220,2326458344,3221786181,3287876213,4274084328,417959501,1632256,1166673267,2328098985,3538463045,4261638846,3320352325,4291422634,2324258187,2042628103,1962884112,981410839,41265733,132760568,2839886336,3287810677,4292864323,1166722041,1975519374,2344876290,126520413,2354940227,4170075646,3053881539,126507892,74809404,443742531,109768842,4030231734,2319649653,931808023,1945686919,1128481541,3825196149,451463050,3271652096,3771785424,3771785424,1958151816,115917706,1958198016,616761098,1918975103,1021256706,4177687344,1916419267,1933655053,1019476226,3271651911,254019372,199803896,2853365760,65586169,4294830336,4178822120,692357827,58048520,2328036272,4140012357,1954587205,3334691585,2315422533,3221750852,1144661364,33977876,65603652,272892416,230557043,147061101,4261574080,709114560,230557042,2294544749,4266010692,3413478221,1911049806,3905157355,1170604071,1149895307,776243240,1174815880,1972063742,2320387825,1166580293,3225151646,3904875240,2615798737,2655357651,1956267322,80996358,2345790696,1552494172,3223054632,512446803,1284206958,1127188520,2302873480,1500605982,1364443995,1903042187,1259309643,1284059018,1847494952,3277543793,4127198184,1954587205,3905157378,4289724665,3334686088,2315422533,3221760068,1144660596,974156562,91689028,4184673726,272902851,704646633,1144653892,3188029204,3287903501,1913275450,1829617157,1149813753,1308509700,1321497995,4277397582,2327707880,1140982852,3276113932,1284112565,1834203909,126536449,3904849288,1166606023,2328099012,619219463,1971338432,616925712,692357183,2282195523,4165675076,2281812163,1149773892,2160326953,2155132942,2147485161,2138355750,1958217462,2315809920,54320965,2315257321,54317381,3287876211,1958217462,4262032512,1308548941,453087,4275129854,1284231501,146901554,2952951232,1929329665,1140764674,3314157448,41271304,1077674416,1068499570,2148286244,1124567115,3905157187,3890741318,2638607872,2335995008,1552489052,2621830658,3188094080,65629453,1829682688,973620362,477370948,1444562056,1577280744,973620362,57872452,3187949800,2884136205,55568384,3278704062,42681798,2315275752,3221754436,1144655988,2316006952,1144655940,3892540168,1149895701,1958742056,306461222,1149903218,172243460,4276620402,72154627,3909633278,1144651789,4261967636,1157498956,1189049604,1972063742,3276689075,2282243210,1149895236,1975519272,138708998,973093353,108204612,2282777738,1144653932,3892541200,1143604153,2316006152,3372099652,3909633160,1144651792,2316005898,1143613508,2294349322,1149896772,138684968,3271836808,2158314998,2280194932,38046415,1963476010,54823450,1963541546,20759297,149488501,1979661316,65923331,2315262697,54823656,1963541562,1019578896,3909317889,4282123115,1944650613,3477661955,3897213883,3091790737,1539462747,1398502193,1851087706,1166736987,1975519385,4242336003,2157792640,3909213416,1702887897,2328067997,3221788997,2965569909,2571470848,2325628296,65573701,3469469952,1356891807,1153884294,11535116,2282570888,1166580037,2640674970,239388287,256165400,172279376,3766900758,36432286,1958295177,3916238270,914948103,247362745,2571471469,57982984,2315348201,37487684,1592329075,2147808769,1702890357,1300266908,149520539,2622324736,2607120512,2571501183,3144448954,62483576,4085750784,4093442695,2280884132,599432698,1829878637,2617250489,4203213703,2275734524,2650441715,3144510906,448359763,4085750784,4093442695,2280884132,1149935098,71565832,1149815038,239372826,2334147720,2306128158,1400158518,106728286,2333629577,2306128158,1400158518,71600734,4262085768,83242572,3037623424,3150481920,3405868371,65603466,205783552,2282636424,1149902404,172239388,2317108360,1143611460,2147808798,104617844,2380858227,1829617152,4261476584,1149897540,3766918923,3907028560,2253914406,1144692448,2317972491,2473429704,3314208254,3247047484,2258573938,3766898912,115918218,3766900737,189020830,1174275700,16050323,3892360424,183042286,1929460736,3598595,3893251326,2666004492,452608,3909130472,915000649,1173779641,108298395,3916238270,247332867,172264045,739525674,3892541698,230555997,230605677,4265338989,3204122089,4293487885,256250,2331727849,3221788997,4025025397,3449219322,2298498280,4134844726,1954585669,1829617158,3187672041,1149922574,3766918952,2346747472,2306128158,1400158518,106728286,2334678153,2306128158,1400158518,3766900830,2638608030,2281927808,230565956,3441420397,2327532777,20224581,3130672520,2025548923,3892557164,599392275,1829878637,149426869,1835907584,3043840955,2330626842,260702278,3247048584,1183378059,4265755392,3286922701,1016284554,2952950531,1921006595,2290069506,1149932357,1834203917,71501704,2971317507,1124567041,1157808638,256129683,125045874,2966027851,3909584896,3455975428,1284039541,1959394827,4274255874,1166709581,1929591955,3150182846,2733132501,1581861112,1314804566,1178754681,183041630,3107358976,1829617268,2298480617,3195320630,1149922574,272926728,2284340362,1157501508,272902674,3188999304,1300262157,585728165,1170626298,182977163,1308509696,1324840331,2680381006,2253447302,2773319904,2281746560,1149768260,340035600,2665514584,340036291,1149812990,3053565700,846082,4262085770,71600328,28705463,34358410,2258572356,3766898912,4169857024,1477270666,10412166,2331020016,256150227,2316125226,172264136,739525674,3907553794,3890744316,2281746681,2258568516,3766898912,1489763304,4271825030,189020864,3790203250,189041401,1149815038,2470808069,3498760438,233374385,356813312,1149812990,2471856645,1149895089,2328363029,3137385928,3405868371,2089426826,12814860,2328922832,189041399,739591210,2316530690,33599720,3456013125,3364551029,3892997258,1877478318,172264185,1149815038,3414616068,2030324990,4185057784,3334085552,3441800287,3439506465,2282759190,3899982342,15270225,3092258304,3633184768,1361477720,3273621252,12079134,1490587136,72420992,516104064,47184,4133017742,2147766534,1344193311,2382364856,243292376,528483409,3439506639,974136342,1953825286,28623617,3032684237,605474050,33962512,2282321013,1953825286,6547715,382534068],12,[4108911477,3439375360,1963146262,5236995,1962811019,1962942089,1929386472,14280963,266872712,3909317376,126353615,1958416000,4289980800,1962804991,1962819201,108360956,1962804935,512455868,507213054,225801468,1962942091,1962811017,4178291688,3905157315,1139277957,4286572799,4286310595,3287876213,134223336,2315744457,3909136617,1139277832,3909317376,3287875555,1962673919,1962688129,108360956,1962673863,512455868,797603068,1962673919,1962688129,108360956,1962673863,512455868,260732156,1962810939,645924213,3279910075,4290495882,440672,4183885242,74778426,387576,3795993155,2332521203,1124567770,3351457674,3161783302,4261857140,2155134068,2138356518,3137795779,1304658036,1196443723,2147647571,2147713025,425988,51281928,1491632245,8436225,567089844,12079134,1490587136,72361600,615522175,3026356154,3894529317,3905093637,3452109086,3223605265,3906078385,109625598,3833623833,3523654080,438733036,3833616501,2297221134,3279231782,1356891807,109764742,3962122,2253916276,347119328,2253964281,109616864,1323922698,1364414464,13690962,1482381658,1963591304,1963923081,3044355514,1019316736,2953147921,17623303,225755144,2280884124,2767453434,4203213703,2332930205,4622570,3899993531,57869885,3892373481,57868327,2315313129,1014303494,3909317956,1379664209,2749956981,1968192515,78571779,58017596,4177827817,1964947651,3110211771,817496067,2943074,109578610,243299595,3279975692,1142956064,1142956097,1142956098,1142956099,1142956100,1347702860,1380798275,1196708432,2315016022,2306162182,2339717134,2339716670,1074695155,1973875573,4161047046,63135327,1131757598,3815953209,3277742073,1963591306,41222204,512476152,3825169672,4160750312,2281746627,3145009670,512320195,512324868,512324870,516125960,47184,2337855630,1963080903,3910578181,3932171,246416757,2952790761,1342605322,1343127556,11567108,129027871,1356891807,3035160710,3766900991,2965633438,2328099074,1014303238,3909317888,109772785,1144812811,128976244,3137328617,330563676,2817008077,1958742016,4285327368,3219718576,4286179583,222086136,401087093,3271652096,1963722486,4127945856,2155152134,3921871989,179306498,1963335307,149480447,3271652096,4134799932,69110723,3907256181,57868413,2164227561,2138377254,1964451456,405176447,2380824437,10479616,1964508918,3892802688,280035099,11584505,8128136,2315279546,1014303238,3892737408,65601720,13690880,1005126515,369527039,8436597,1964252809,2305060027,3899983902,3287810444,12079134,1490587136,72353526,2148430976,2130989094,72353418,132733727,2328043519,1014308358,2953278752,3925849088,1076625412,109633674,646447196,104494354,74872089,3287881392,582730744,1007127157,2953082144,3121055786,146079837,3137346793,126514474,192225340,1964050166,2332324992,3128233758,62193765,2315256041,1965702151,77457667,91569980,1964510848,2297072512,1111687238,3816148478,263504888,1676157389,2042628351,4177637380,1109819587,716930933,69110117,3271667829,567087028,150947304,3271652800,3019922618,3894529302,3221815094,95421561,3401303033,102664548,3271602293,108363836,3909108712,109707327,3221779734,2129139316,2668720896,2253447302,2812128,1493033704,3281969286,1929388008,3572024065,386332413,292913269,3152576688,3909317884,384368134,3271652350,1555743683,3440423936,4275103777,91865096,3957850544,2258617341,3766898912,1964445312,3766900864,337546142,1124567157,1964377738,2151465214,317197173,3271652096,2952822971,369526784,337545589,3133405301,364118108,2280137165,1958742270,2281746445,3899987462,95485254,11584505,3036709051,1124567168,4185247230,512476152,109737236,3372119318,116797557,1954575682,4188419,3019922618,3894529300,3221814854,20714356,719913845,1946369024,2025731,1967263360,3145773184,109576320,126514454,337545539,1975519349,518403,179356664,2952790761,3622326275,3287898364,1963591306,41254972,1488700409,102664550,1651293045,1963466377,1929392872,4245481731,1929400296,4244826371,1929414632,4244433155,1964770954,1710818952,11847934,23476411,486968003,3322382453,1382451462,1965145027,540805002,109709173,48850425,976235520,1987386118,4179013638,2281702889,4168424454,582681027,1007127157,3271652640,41173564,2336474105,1713421251,3120562873,401106488,2281992956,3279232262,822096177,808649013,53491202,839135793,942933300,120994054,11928066,1964775050,109759230,95515933,118284498,348979380,2160391928,3287875956,1967326856,11927988,1710823050,349031166,1967326858,3892315880,3899916300,3304519875,3271652764,74630137,3271675008,4193857768,548425923,1965098632,1720270464,3909317970,109772526,2151445770,3287876213,2305234107,3145008670,512320108,468219144,3909317376,954792954,3909317376,109771762,109606172,113665780,3276826249,2322932155,1965046791,4094069255,190822,104476716,108426522,3925415600,109576197,3287840028,3053564929,471239168,3452632693,3304519703,2953016321,4173592854,1974060278,3287925505,1967392392,4102684852,1727272586,399362814,1967392394,3909083368,3899981648,220105155,4167166069,1964115594,108396348,567089588,109625598,31981660,767214336,10479733,3019922618,3894529297,4282186802,28312693,1323877369,3271652600,1912621032,317244161,6076928,567087796,1023152616,2967696895,1019476227,3271652613,1356891807,3897680006,1482291910,1017045126,2315613443,977349,91554364,99156912,3909136384,1499004928,800769017,8502133,552077493,2335092736,4622570,9026370,283640757,2332930048,4622570,2339712442,4285861150,1007127267,2332783648,4622570,3455992387,79949685,2297072448,2957115462,2297072442,3049455686,1964947983,3892349672,24313878,3270851,3905094003,24313907,1947024579,3284400386,1964948051,1072170165,1526887168,1966750915,3913505285,78970889,3899989690,4166713427,1965210307,535365813,1949187072,286162952,300515445,716849920,3892557173,24313866,287736003,3287842677,126505299,3892326376,74776649,3287833433,1929401064,3277543683,1183378059,1532576256,1976434243,4161243867,2334175427,4622570,1976434242,1631372278,2050754162,539755127,2336207043,4622570,1976434242,403603700,3150151797,79259853,2617719296,4192247107,539889091,1759689530,973095097,2638453767,24443360,1650574329,1717920867,1785292903,1852664939,1920036975,1987409011,2054781047,1145258561,1212630597,1280002633,1347374669,1414746705,1482118741,825252441,892613426,959985462,250096191,1294368768,45121397,281870516,3439414249,875570193,2148431152,2138395686,1967457991,199864320,1410236416,113737845,3087037765,1353914807,1226738115,2315302517,3540431319,2315302114,3540300231,3520070112,3489708000,2311258595,3279243038,1967726219,401130435,1292795904,1465286773,1967601291,915013259,552105291,3277741824,1967982326,3271652736,1967990400,1465274495,1967863435,82378379,1482579712,109971139,2350806341,1409742529,242516085,3959675578,4218749352,27847930,3650026356,2149579693,91555836,48853172,2332537856,1409742536,242516085,3959675578,4218749352,27847930,3247176564,3272080299,4283557968,4287686744,1158057478,3892819061,3272015894,4282247248,4286376024,1158057478,3899700341,3272015874,1195281239,4140338037,2155172870,3669626484,27847683,3975871349,4218683816,4222337419,1967589119,1967589119,1967720191,129287007,3019899625,4281919600,24444988,109971139,3901388101,3897624458,1129971638,4101361150,468239111,3020075263,3071331584,2988160512,3439506432,47888,3288253160,1023345128,3271652608,129296522,300490928,4277200896,24444988,3035138755,3911233648,512425984,2337502537,1400194846,1158057478,3897643125,1482293086,4118138366,512318215,2304472391,3279243550,2348709608,2960476446,3923257424,4253089706,3271652608,1962998144,4243112705,106386944,1967457934,158793272,3892360168,65601650,3074048,3277741831,1962999168,4185965313,3271652608,1442894568,109971031,3661133125,2313685366,4777984,3892315113,1594294276,116835166,1954575700,64666126,1963501804,3123032315,4243456984,1968049801,3892346344,117309553,117339475,244020561,3456005454,116844149,1954575700,3123294214,3287155672,1968441078,3121509504,2834039770,2969269512,64535077,243924462,1072198990,3401728,1968377598,1968246526,1968049803,3866480126,1968441078,2953213056,64535081,3405890542,3422474238,1968184969,3472804353,378129150,516126034,1967464078,3273631219,1968184971,2348644072,2339718966,3900002846,1049361771,244020551,11892046,1309575619,1344178549,1377208693,113754997,83916117,3338667753,7689478,3065051666,109790182,1122399573,1122419850,3767165412,1642464012,3104289787,4276228096,4151692286,1642513546,35556291,512314112,3905123671,12189708,3070407680,3440430336,1203356448,2347356523,16826353,3282367484,0,0,0,0,447487998,9,0,0,17152,0,0,1685414527,117,1970114304,4278222848,393100042,32768,8408577,447610880,8190,0,0,0,0,140,0,0,0,0,0,0,0,0,33554432,4076978179,68460,0,0,4278190080,65792,25165824,16842752,8388608,16843008,369098753,402653961,80,0,0,0,0,0,4278255872,16843072,65793,0,0,0,0,0,504695811,1111044135,0,0,0,0,0,0,0,0,0,0,587202560,808464432,3158064,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,539575080,959920433,943272236,1867718705,1635218534,1092642162,745763954,1668172064,538976302,759387680,1496725297,1112091954,1163144525,2118739,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],13,[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1903165440,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15728640,237807104,631880223,3910906856,1048836594,1946159475,1933476114,3287285513,2384331184,2720833566,3273591153,751044343,91619327,3945126842,751018195,750913082,2028471156,3291908868,3909038892,2545550468,461170726,378156724,567083100,1962934077,4158781386,2348452835,73853168,3911623098,3125943134,1102318332,179970509,3443635211,2747282209,113642103,1510017390,1939651267,1274217984,403963903,1877541544,2686357247,2013724204,3441013770,2722169889,4240116490,2332526602,3033084883,1914817852,3034090453,3122777406,1018432266,3329368525,1052039307,719856077,1845937682,915079177,1048775289,1979648371,1929824006,3958374409,1845937699,915079177,1017907833,2339861884,3087734806,567098624,3633024114,1200029616,1614360,858491839,222068937,1894318965,2084339967,2863462516,947129660,1971076161,1170614005,910757375,730467976,2033617230,437685002,3375583499,3443261624,3094501665,4289779851,2719500166,377946137,378080024,233507610,2316208182,914968107,3068660345,4276817425,4026597099,8450567,4276814080,4060344320,1939996800,1610614272,4064675328,49373292,18023011,1457586512,534847698,4143972352,8388608,1951268368,1837591951,1007222783,4277564706,1967013069,1044152370,648808053,172885758,1006954216,1944155405,172951052,1760231433,172998487,1947024556,81127492,104480628,963914916,166587306,637978406,3942648074,3341158717,151660038,1463675648,3943311039,2162199251,594902268,1996946982,77195274,74714428,326466620,1827217158,652248830,989822336,844038517,2287971008,4236265253,4261770253,4284803521,2000584742,343146506,638221247,175718025,3895167934,2863400027,4201975100,730467976,2000584742,118358026,2755559619,74723116,41168700,2328058940,3892337686,2548566452,3070686725,376767021,553663412,2481459314,45309,196681726,850064128,915129280,2320379304,3236495172,991982847,2317907186,4294961156,3947758452,24936690,168588334,977076036,2699563380,4177688063,313027,567098292,2328041331,4287490052,855078393,22841051,567098292,1552477298,4248102913,3040250182,6078253,3442016952,3991454497,1958507708,2332033117,1656971971,4194329283,6078457,3442019768,749969697,523,3324880035,388869126,28311976,95421044,2720842658,113716418,11460,3022869946,3894529306,1939668785,1353711626,50464769,3187805417,1438580828,4292315949,2767388687,567086848,30050,3893914088,1357383458,3221903361,116787713,1954557293,4239976707,113643956,3338600449,268458758,1948676765,3208622104,196673537,2343236352,3207443766,246939740,3022114049,5618193,3897565645,3948413601,5618177,3237880269,1877542517,10611196,751044097,3895287230,116785362,1963011492,761839105,1947206902,663796232,3944215016,15132673,187528609,3212211392,3092262086,1487609857,95539339,254077139,3370651831,2855120897,522502794,2953756392,3330976301,1342564353,1919171584,3898878978,512429739,3674942721,548942452,3956386592,3956403153,3956337409,1639368586,108137532,41185462,3221883905,212861557,2095583415,2855972878,1961411329,2865138190,3131752499,1961372870,3255762433,2687399212,3265408195,5105708,765724161,4263080962,1965927438,2886125075,3451524865,390653990,3440117944,3008545,485036545,3892949247,4109045312,3106719423,2767388673,3114934448,2767388675,1386922035,3895248385,3277461279,501817520,3115995662,521018881,521603560,915129178,1049308537,3224579329,3901479051,3506446521,2513949158,2499825409,4909203,3791656083,751222766,2451050497,2466260968,2499808744,855640552,3334121985,382593324,3906243152,2321154049,3505049601,3505049834,190698,3800094346,2969728001,583925248,818577613,3263877418,3222455041,314869287,3297126336,696498883,2885713921,376750090,1006723816,3893326861,225705217,766721664,3120985088,2884184034,768257,2885705150,41238332,4186175970,3123410177,1474832251,8437270,80205451,179830785,2904673548,3883197450,201400040,1953381377,2625190940,2650743528,330618229,3439352833,2800242721,3686422528,1958805029,3202925313,2148103164,2995006,2615870068,765998593,3892341951,28836067,2149698857,536898817,1948877754,3122115603,567083100,7071745,633649752,3312828670,3204062697,3102212097,1963801600,99543299,3087144424,567098625,1915083706,2396556259,858563102,244004353,1068772541,3364561357,3142794723,1085538305,1918575053,1958820617,3241888228,29042945,1140897792,3270910413,3910956416,2384336129,2150408222,618814,3121378335,1001663489,3224510925,3287926760,154470019,924222209,3126001673,2335574374,3022967070,112897,2338005453,3809047240,157720583,678763009,856067590,3444159497,113706785,2305,2953415912,1933476109,1979707401,1929824001,3338665737,17395206,82357443,1325036545,1948269763,1950170126,1949056010,1950039041,3272162306,3892347326,1048641503,1946157057,2336638475,4291946718,175496763,108268801,3911626682,3504929058,3204914941,4290248705,3224611583,2963975083,3108481544,1068498945,1438296819,3441079341,5618209,567087361,666745424,2685711848,1074004060,91570177,70037664,196012097,1958742616,668252673,3910441448,3485138307,345040935,3106757889,3334406155,4090989356,168671396,2864722689,3893657321,65600867,4250790144,3894909441,3334411370,3442521132,3828502561,4059433473,3771860145,280609802,3905980945,783351041,3297401002,179430450,78770678,3289047041,2316308665,4252231888,3131752499,820587521,521018900,32106502,2149975666,175439873,2952973544,186574910,2317760747,3221899009,607924340,233309556,653257483,3141993729,3221891522,3280149620,38135811,125044481,1962950528,114551793,4278652503,123666689,520603883,700234435,2954090217,2953767681,2953505563,2953243454,2952981308,180807937,2885714110,2795758642,2822146349,3070674433,113639469,2332044723,2335025206,2335024641,1362879446,4107003990,1529719459,56221185,3822488523,3903605033,74840599,766707201,91569980,766971520,1965702146,3071180801,1290273325,973501694,1965859846,3224522241,1011221638,2281862413,2822146308,2785970433,2159985453,3221924864,65537396,3272424449,4263372972,993789045,3276732021,3892374785,712310752,3892364264,887619926,4292012033,376716092,1947024556,23455761,91503361,1962798824,23390213,3224627947,82363137,4226148352,1031808707,3121116416,521021441,101902825,99582751,753457035,4294541569,3924325376,1994920667,17098752,15919105,3897062494,3924295899,3895913216,1014235137,2891373363,259263804,4151655740,1015071489,4277171469,1592585159,108317694,3911764481,3897816790,4267376700,3893392591,2699558913,222080000,3823633780,3287739136,748690945,186392206,1015084595,2347791360,309454849,2902152936,4218798090,2092887275,3187927809,508962945,1912612328,3908537104,4152819713,721479912,4078896846,3277725604,3945298945,679591427,1912604136,2423974707,3008513,748684942,470191654,1375679243,3903608577,642187375,1979663674,1609818626,208951553,5630033,1031808601,4192236800,2332499457,1088968702,1459940096,1493188328,4186437889,222068931,3903589236,1072169015,1966947329,2159985648,3221924864,2900886900,3272424449,748684942,470191654,3909038859,2149974017,4151640125,3946688707,3116380674,2935095553,1918975171,2004499462,3273665538,988304129,2212072192,4214948587,1364207730,4101957633,46367579,3956475057,3444225091,2382797825,3895238662,2634544243,108222553,3911583233,648738214,1479,113465691,1220578305,2703671438,78708739,3364610259,3032680193,69324057,139389249,3892316648,3334732289,23558,6035082,1074053770,108347393,749733378,3192963326,1202990424,91431169,2162761486,760594418,3025721227,2778770177,216640044,109970961,2703633568,2737178881,2149974038,619070,3307604597,3087772417,567092513,109983239,1236544674,12067073,3894529356,45677850,1914817853,3101199105,567100416,1971372790,3443438605,682080769,3943741928,4130508841,3087256192,567100417,244051,1052039987,3796050381,1169447681,1169433037,1169433037,1051992525,2385912065,506241054,2734692513,3602385263,3150663681,12058625,4129410372,880050370,1947255297,891926575,3230409165,1996525629,856404993,3021000155,2316356879,3066756820,2344628993,3020404680,856739078,3019945938,3272658177,2888417470,3979528330,2326529716,3793865985,3013723129,3104181036,653048364,2176726273,4210419712,125046076,977120582,3909317889,1273560774,3070686972,108331565,567098113,2196330355,1304825,968099445,1232281857,3911710394,2210067490,3203984169,3102212097,1947024634,749969905,750323211,1965485057,4228704482,766969590,3739796226,3020322049,1931595066,672381460,3136548329,2649236993,201439247,2431132109,213894136,79858177,1967144000,2953183750,2864774700,749020673,111884976,3036121887,1914817863,3273592321,2885683385,24387644,2901992106,309600257,783343754,2865006250,1017905841,2852353025,3224565986,113689514,2164263287,619265,3339089407,4278809350,3983862271,167656961,3125769471,236858709,3441079327,4290387713,2148709385,654910,297011060,167642625,169987328,515864000,3189706247,2042572033,1049175561,78383612,1950366784,1048585729,1946159480,2872751107,654276072,234833153,118365958,167517835,1946173312,2901641985,4218752316,2713638539,730578697,1017956609,2316858661,973732646,1175483684,2901641985,74714428,4159416897,2867063646,1963801601,2285259229,2301331982,4127849494,4278808065,326377230,4282762790,730577444,638487809,234833350,3924753897,2384391933,3123486721,1048651993,4278192499,113706613,4294904065,4070893855,855671230,2684784329,158973697,2720448562,2250639736,168392454,650867969,167526025,4261856806,485031689,624733441,2284219765,3892968230,222099727,1034757121,91508297,1970170173,4177389654,1965571073,4176865358,125118780,748691086,2902374145,1114901820,510929212,1948925098,1967078401,113649158,3892382206,3816159447,4282762753,4173719565,230218219,2105550336,41225473,3903569971,1034811571,91508548],14,[1970234369,4171622469,1047792956,2886312383,1963801601,117319418,2200308087,4278809406,3341158145,619270,1048585983,1963002366,3206481409,2042497535,24936457,4261705018,3087628289,567093504,3401210051,4055689512,749667841,8502784,1022907112,2347463693,703446785,4119527605,3813084554,1963125555,2317790209,3292153637,3430942068,3804510752,4177764097,1195842955,2900063646,3128167740,1979195905,4162185425,385278975,3102420143,2898866945,2708737340,1962412776,4092281091,125058305,2440301884,2901797804,2306161980,1022880257,1602384909,343189235,234847360,1017953281,3904336909,4134926299,418119600,4157728769,3224563061,1438584555,687978541,263463169,567138187,749668086,4127356159,1958742529,3942443267,2348262120,2179563982,2148411393,2148436480,2316208128,730578731,229680129,3978553770,3677489847,1947024556,4152485889,808193140,3891708806,3280388866,2384390657,2318180382,520711206,3812278322,3372131841,512664299,866200736,4294945033,3230544641,3375618190,4186685835,2343498313,3108390401,2784165897,1962884483,3342175000,922746625,748691086,1963801772,3965179,2300969729,512672565,116862112,4294904115,3526619905,154474121,154605193,3204480744,196673537,4062228480,1090614702,4144753027,243873281,2481466709,1949973750,4136429601,125110785,1022789096,4145247290,4278792966,3907679489,521011261,3911760058,1572859934,244004353,3897634133,207222370,87696928,132841985,975577132,1204843781,1273555170,1998601217,1947024582,4131448839,4185197884,787888385,785456779,567099060,512630467,3526560001,3443327160,521499169,785490742,378263553,243992885,12060983,3273772354,126540289,4179574828,9496771,512627314,108342273,158205638,113689345,3271559534,1006665729,3121181186,1323827330,4097698059,748690945,158211722,1589255950,3911772969,1474883329,855750656,91556978,567083442,3453104641,243974945,3372875904,3224559989,3666485505,3895019962,1153043222,1977289257,691976705,3893037545,28835874,1963618862,3273772289,567134462,2148436675,1976109568,3444880385,3134753313,3421186387,2885705150,1866211329,229448565,1849434144,4236248693,3272504577,1969645117,540847112,3237872501,675985921,503759865,3230582924,113760398,851969,730400454,2315700096,3893166379,2582118401,3406241536,3892347326,222098799,767244545,17492015,110117867,3204910679,716450817,2342003149,65458672,13009392,3118041857,2767388675,2343182512,2999618499,2264069633,766743236,3120635625,1340614436,4291291137,3139909050,2968006445,1916171264,3275402241,3342468212,3588762741,3106370048,1015023361,2953540621,2347038308,12773576,3297383425,3355639988,1963801772,3442193417,1975519745,364561153,168093735,2176759531,4107921409,309595452,3896130235,518717556,3442258945,3912938273,1471807656,165734439,872410625,661174985,3896130235,1718878271,3398120193,1017958963,975336461,3005642179,6219777,4102692722,1947024556,1975728656,5171201,3565817714,1963801772,3442324488,1958742529,659077681,3943273960,159574198,2310670849,3894529323,2344546931,222068779,501748737,2316268032,3275402484,4219473524,1308914945,985858226,4202035655,2315256808,283689729,2330948096,649440,181732466,17620993,738495171,1022980656,4101174538,106414849,3334407950,3083176492,2746384,2326446849,2222273,2326446986,1697990,1966799617,2855186435,216580746,2864722688,3895248385,1594296591,2248856771,808455620,41234433,12044074,1351795627,1476970216,1377747713,777081680,748691086,175586944,3892737281,719847433,1482381568,2160271194,665089,649729908,1023457290,3686408653,2332783105,2264903896,413276231,521061120,2163009793,675646,1048589940,1946159694,172997121,3443327416,856519201,2345219026,1107474433,283845069,856313786,3443307721,639744513,3633039474,1200029616,1679896,272531457,225771310,784545419,772880009,772802049,2347578367,3006186294,779075371,4127757825,594837703,1963050998,32303344,3220352769,12070105,3139554601,3669896601,356420353,109766702,3892481001,3224568760,2737617665,3164744895,288787244,3275131182,46196737,2347303796,38856961,3114516531,749904385,2720976034,3416403656,751084334,2720975105,279063729,779068206,2737682595,2560830977,760587053,1210914211,2720842146,3013750273,8502829,3979553715,3895357375,1198655489,1954596854,3422995973,3354788142,151680001,153925422,3945576750,2160588509,117310465,2706779314,1874734803,3217435438,3338874113,2284696995,1093514254,1049142515,113716481,11447,2695883614,2980196044,3504394241,784704224,2687075258,3221892274,37487617,2481521526,766754283,544538940,70037505,3325736001,3204579654,3349884344,2930433,71747072,4638210,110159872,33652225,1048581493,1966747065,72253454,767213313,18118,2332456424,1031799422,3121902849,2105550818,2859809534,33572550,100945409,3120978408,3114346220,2147499308,279548929,3021239296,505531732,748691086,1973675009,28843785,857853230,8503021,1874799361,118614062,1963050998,3073247733,147191553,2148300032,2928958,113640820,1443114497,3190739873,3324718703,53352639,773169921,773066376,2292511553,1580078910,552125697,3888113668,3892583144,2615738461,34793473,751056523,1978203955,646298351,3909512449,1048634526,1962945713,773372507,3892732417,3686461250,61860133,785621334,724463361,773373894,363054851,336496686,2767405313,773275272,3905260382,1726481351,63039489,749813376,856388864,750494400,2720841473,914959548,213855939,773045548,2332335617,3274577206,785137280,3942806784,2347578113,3006186294,779075371,4127603432,3950280705,1963050998,4287686896,3087031487,567093505,2150504609,41171708,1076641968,3019922433,8972305,4030130332,3909317789,3224567553,750847622,192200714,3204451513,1438526721,849670957,784835264,773144203,3895285249,1048639006,1962945713,386332167,158597633,3895335098,1894253963,5368046,749813249,3892999424,91357452,750454470,2973663233,225706028,4127311592,4281208838,3974693633,846076,113641333,3942657212,4282706177,116789940,1963077143,3286501891,3122312193,567094613,6077016,3221889485,2936456705,414842924,1023457326,4034011597,512350209,12070508,2300693847,2301545750,3090075393,567100416,2290147968,1949199894,3359539201,108265518,3911784378,512426573,244002305,378219709,3391827135,1088949877,3393093633,1702166574,750587531,2719911454,3443504129,1433542433,1373882507,778976896,2147972353,3066686,3515554676,750730891,2382764545,4063011334,91555758,749668094,2345741057,3205366730,3205400876,3171826476,3893129729,1048576235,1962946250,2156915472,3042817,1048577908,1946168495,1813941121,3443438593,1048625953,1962945724,750231800,1946284545,3206449974,3172875052,3892933932,41156609,3677602809,2719911454,436717356,117382913,113650879,2684366535,3828494025,750716417,20776306,3898831872,3564437622,784940545,2337764352,2335050782,2335100686,2150550785,3065150,750006644,3788513741,3788628225,3788628433,3456822992,3442127953,3169419521,3521742343,3504787681,3504787686,2162610177,3590979797,3092903306,567105281,567098881,751044351,750520062,512476152,3873975809,767081215,567099828,751044295,3907715073,1345106336,1476396776,749798970,3389441537,1048576046,1946168507,8448259,3892395009,376767238,778976896,2148496640,2928897,1948661690,3339109979,28836142,3342761985,74776622,3375578292,3442325690,639744513,212024946,3137783342,3632988460,3443785729,236357665,2160260654,3080729204,1963729921,785096713,784860682,544872564,477366273,843317688,550142198,772675208,216736001,113669611,2147757771,70173966,784809473,3894244608,410321538,778976896,3121706241,4159186523,3204892418,4261412908,3274623489,772546187,243779891,4091751615,784926209,784809600,861238528,512630482,1085549569,3122602445,527574508,3547645995,772670977,4128535680,539889158,1048578677,1962946049,1014253887,3895042746,117310114,1048587265,1946168507,203328276,3443438638,767080961,567099828,750454470,4227983616,3515339265,3443655096,2940108833,74711084,567099393,2047616195,136597520,1479461026,3416392705,3305506862,785096750,2160312330,4281185025,213847157,766754092,3892368104,3224562689,772736646,58048522,2332065769,3207443713,12070165,2703346985,4236258744,2952950785,3406727744,2722114606,3080727829,388401665,33695022,326418442,259376186,785137153,4261966848,841879558,872868800,3502514689,3422948072,749838894,3771785424,2150548737,3065918,3416401013,1976109614,1958742529,3205401369,2954093356,4281533978,748815873,1963437810,1049186053,1455107263,2973663233,57933868,3190659515,1049308438,146353409,1060940800,126485109,24387644,4058137345,1015022513,2953999392,1017948718,2315416833,1948269575,3796085249,2864722673,71759361,2334291202,96633813,3443327160,2333504001,1140898008,1051992525,3270910413,4131484929,1946420294,89557819,1950023296,2151723521,2565357802,2211810289,2122974658,115834881,1963392896,41323286,989756544,1187382785,99287552,16795334,2153704270,91554305,18118,3443242179,3894833697,4203472129,3364601907,1336865353,3324814752,973209601,91553605,4638378,72253441,3991553,4638403,75401728,1946470390,4638209,41323266,1946172544,775716896,2088770305,91503358,16795334,2262512206,3443241985,1914471969,3841255428,3928746435,2147646977,3087794502,146353727,2259350272,3297159681,2868052913,3282747442,415125585,767082241,749735562,2088823178,91568641,2319526913,25002184,2315810106,742868741,988318209,3894441449,460587040,2348762251,575733505,259348673,74788412,132899850,1966012673,1491929602,1973863257,4286349486,3953685505,1364336373,521031763,2284635835,3151203073,3414884353,567099572,1515805528,1397801729,45819056,1343351552,149622192,3945050113,3224588291,113491,4203435857,117440257,2935097118,1239021319,3443569737,990474753,1594193345,3277347673,109977358,3971623937,1048585765,1946159735,113649161,3120564737,4092143857,2747282403,3600953043,785883649,1469905034,3903637811,326494855,4134805505,4067690812,785843846,3933519882,3892374017,3275419103,3481273717,1021045632,3909317889,104464592,58010788,2147537385,326449665,2885746408,2298542824,3324957502,3069185,2298512873,3324957502,3069190,1977999873,2963296280,3896575020,984613079,1476448769,785596041,785712838,1965964288,3590782465,3573990958,1060962094,3481273205,1965702145,47153189,1048577972,1946169046,2952967169,3576048191,2253550126,2248795105,9562113,4158841222,2296963462,2149217765,3354788865,2302440706,4281258814,3324957446,4281259265,785778374,6940672,3978684588,1961472513,1947024424,2751871524,975074348,1008366593,3330700602,3944808260,694663696,3923962113,4281526325,4187840334,787173059,2164379393,3900702925,1011280243,3907482637,3773300737,1364657900,884934414,375044,125152769,3539993016,1508379616,11536223,4171063041,4265716419,3274626310,1364678150,12079873,650153712,4294852224,4161303805,1599690753,3099789150,3230580736,2166816563,1957319937,8389898,1928331325,652274669,839015681,3521368575,2143519715,4286636929,637535745,843517322,1976110061,3955426052,1190300417,125085427,3347314947,2162486019,91504385,1965046912,109850351,2301504945,4180520705,4290484971,3444094207,3444093985,3092271873,773727522,748691086,3439496890],15,[2396687361,3025805250,2384579925,8436442,567089665,186425638,1526738083,3540245132,136705,2387270284,378094298,3666739201,268499713,3677553266,3822257329,3532577420,3224625921,785446736,766588671,2939617070,3418525185,1631717901,543712116,1701603686,1936289025,1735289203,220465677,1936607498,544502273,1802725732,1953068832,1633820776,543712001,1701603686,1851853325,1919950948,544436993,544829025,544826731,1852139639,1634038273,168655204,1684095524,1836016416,1684955393,544370464,1701603686,1835101728,604638465,1819309380,1952539497,1768300645,1847616769,543518049,1176531567,543517801,544501505,1853189990,604638564,1970499145,1667851777,1953391977,1936286752,1886593131,224748289,1968120842,1718558836,1986946336,1852797441,1953391981,1634759456,168650083,1818838529,1919098981,1769234789,1696624239,1919906305,1176766989,543517801,1852727651,1646294017,1868767333,1684367728,1953394464,1953046529,1718379891,1126435341,1702129263,1864397825,1701060710,1852404851,1869182049,1869357057,1646294131,1919903333,1868767333,168655105,1766203428,1932027244,1868767273,1684367617,539232781,1701603654,539587368,2036473857,544433524,1701147238,1227098637,1818326529,1679844457,1702259058,1701868320,1768319233,1769234787,168652399,1920226084,543517441,1701519457,1752637561,1914728037,2036621569,773860896,606088736,1635151433,543451393,1634886000,1702126957,604638578,1299084545,1968467567,1684363109,1182099540,1632856321,1225395572,1818326638,1679844457,610628609,1920103747,544501349,1702125924,544434433,1158286628,1919251566,2003136032,1952539649,606091877,1850280461,1768710518,1769218049,1126458733,1701999221,1948284014,543517953,606106473,1850018317,544367988,544695553,1701669236,1092886586,2032166258,1931506945,543519349,1311725864,606093097,1229208577,538984018,1112089632,1699749965,1852797697,1126198369,1970302319,544367988,542330625,1936876886,544108393,1867915300,1701672193,544106784,1986622052,539238501,606106369,1935763488,544173600,1700946284,1850287105,1768710518,1768169572,1952671090,226062849,1851073546,1701601889,544175136,1634038273,1679844724,1667592809,2037542772,1227098625,1818326638,1881171049,745043041,1953459713,1919509536,1869898597,221018482,544370433,1701996900,1919906915,1869488249,1835343873,226063472,1967989770,1931506803,1768121601,1327528294,1919885390,1179012896,539232769,1701996868,1919906915,1718558841,1310990337,1632641135,606103668,1213481296,1330794497,1028935757,1635151433,543451500,1986621953,1852383333,1634038560,543712114,1752457473,1227098637,1818326638,1679844457,1667855873,604638565,1700946252,1869488236,1868963841,224685685,2035491850,2019652718,1920099585,168653423,1329990948,1633886290,1953459713,543515168,1953719662,168649829,1953384705,1701671525,1952541028,1768300645,1696621825,1919906418,1920295968,543649385,1701865729,1126435341,1869508193,1868832884,1852400129,544830049,1684104562,1919295603,1629515009,1986356256,224748393,1718559754,604638465,168652399,1163018788,1763724097,1445208065,1179210309,1936269401,1128604704,1763725057,1227104371,1818326638,1881171049,543716353,1713402479,543517801,1701667182,1227098625,1818326638,1847616617,1700949365,1718558721,1918988320,1952804193,225669733,1917133825,544370546,1953067639,543649385,1679847169,1667855973,604638565,532488,844831489,407585866,1343807828,2202931603,241194497,1276053319,255987467,196960015,1159322113,4182249219,251613454,1330512640,169187841,1330795077,1447382098,371739717,1230521601,367678547,1229194240,167379282,1313165825,21318977,1375997106,2986430021,1380255233,21320513,1141115965,1023495237,1498678529,4009837904,1163002892,17039437,1347371777,449577305,1430343686,520111443,1094976769,939541844,1230243096,3456124237,1163265025,240582738,1280267780,51234817,2785100801,1212352018,22169924,1292047014,316211457,1145785606,3640742473,1146225426,101912065,1229213010,319684946,1163018758,2449492737,1163265815,1497778514,68667136,5522689,1342640143,1347243858,268042324,1413566465,262144072,1230521605,298385492,1414808321,301400409,1212368133,391708751,1414481665,378929231,1229476614,1442862150,1179190017,68505600,5394246,1124340840,1392530177,41943058,218981238,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1979875328,855395,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,6044226,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1107296256,776164865,5066563,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,76611584,100467969,42163247,73663796,67110196,1,0,0,7024640,16842753,540934146,842215712,3553584,842080257,1631006778,1129709568,538976288,1061101569,63,2097152256,56130,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1129710080,538976288,1329799200,8193,0,0,59815936,1803550721,943980544,65024,0,1,0,0,0,1,0,0,0,1,0,130,23,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,3876382465,16777484,845568,72449,2301212929,3878272043,4228704012,2690309,1630276609,2906157,3876368384,2953238284,15877633,0,0,0,12066561,2283916595,856000022,855750866,1370759425,512303565,3280864649,3005137974,109848065,2300969008,3019910686,2317471001,3440292865,93037089,3535275185,250139392,2747466497,4024960391,2332330756,1418396252,272928257,1007574158,2953278979,79227137,37550849,2301556084,772099614,89130636,89301505,1728497198,12058629,1914817853,1403203073,3101199109,567100416,1954595574,3942821889,113716939,1381,1376187950,1618280961,1312212270,184847109,772830656,92872193,771763361,184902051,4232410304,4281581569,847249337,1957622464,3909791749,1974337537,3750451188,2970600323,116118276,567101441,57891103,2382397417,1638084288,3247198465,992922371,1493534494,4130565239,2767453953,515448590,1394510592,90749445,3437764097,3443504131,63891489,1316095775,1962941953,1950253849,91553797,90638022,90743041,1952075069,1297759496,3270050676,91005185,3771925937,91227691,4127545251,33903105,1053043572,2334524750,92578565,38112001,3909440931,145752250,196084459,512437761,1760036179,3443438595,2548652065,4290465793,1219763967,1478435277,2197819397,3597799681,3531064123,90652288,51934464,1912959489,2009283525,1913007041,1946551045,990147073,2332194499,3632996035,90381961,567101441,2745397791,268764517,1732149248,192151553,90375683,89589291,2734690349,2225276161,2265332485,53114629,990205702,1980073729,1732149295,628359173,371970187,369296641,372966743,360121735,721782689,3942995713,2177535178,989878722,3956700098,4282837249,91231883,3540300114,212949218,3364612097,89333387,1107343390,2334073293,2164610817,1913651451,266386179,89595433,3540300033,2345372643,503665438,92544654,3897676289,1068761723,2112365005,991910146,192240385,92544513,89603715,2344645888,2701481217,3238200694,2701483939,1570964856,2080818177,89760517,3238248588,855989155,2148961025,1394510597,12066309,522308930,3119055617,1846971390,1757041157,1882373,1394510593,417865221,3443504130,35317793,3732036097,3204450233,2335049064,2198164790,57999361,637586921,3633061317,3633235459,3322087169,3347253129,3823258116,3119193862,788424449,89261814,772568066,89011909,2225286657,3141659397,1219821567,3674939853,2301550081,3020251934,773967176,84239779,2737700865,3951232388,244002320,3241870727,3358263297,41405243,4219591051,141758464,78758657,65790163,1358954424,1394510638,2345218817,1107343569,2335056333,1493521182,2216594945,1372730117,3019990760,3894529343,996016385,3909318086,4130274784,33903110,2704155137,271385988,1537420800,113716741,16778497,914959950,2737702237,3633186143,1025,1394510638,19261445,567099060,771827457,89261814,3909317634,2335048025,3188024577,2704146433,3221947745,2387084660,773097729,1208313249,344578190,3444946002,784502273,92870281,922693210,2401633633,771763201,90388107,2301030915,771752502,89011713,1959089694,833798,6078289,2767395841,2880159795,505372249,175424854,2315283457,2879714108,3307167403,2159608436,4093217537,784989860,93011514,4186571894,4281467393,2334013998,2315548165,839052249,13953025,4279530751,1962873460,309657364,168201985,110044672,3224567820,110090382,110034945,508690570,2300481070,8436229,567089665,4130232863,17125894,3308136052,772103425,89013956,274566182,478760526,242583809,1493615918,1569465861,1166616084,2422532865,771782888,89732805,378416890,2335048961,4211432742,3264108062,3280722574,12276481,911360,777241435,92872331,1526727169,777002691,184902049,1208448192,512350209,2704146433,3221947749,2387085172,18778369,3273611264,4278197736,3828487796,4187816961,3901753835,1962868750,2633538838,2399144961,2833978948,918888214,1354959795,378154497,28837254,1512164659,186434392,83887361,1392853760,65608,10108678,392449,393226,587205097,808464432,2150641665,3633236108,3230584974,1922041484,3161137896,3019900432,33947663,0],176,[1,1882288193,38,1881174048,1,1881174083,1,1883467816,1,1881174057,1,1882812465,1,1882812471,1,1882288172,1,1882746937,1,1881174065,1,1886351443,1,1886679142,1,1885433975,1,1885696114,1,1883336736,1,1886679154,1,1881960563,1,1883861024,1,1885565038,1,1881174062,1,1881174048,1,1884712992,1,1882026051,1,1882681393,1,1884909622,1,1882026034,1,1883402313,1,1882026061,1,1883598932,1,1884581971,12,1881174048,1,120588081,1,120588067,3,120588080,36,119539488,3,1881174048,1,1883336736,4,1881174048,1,1881174082,3,1881174048,1,1883467808,4,1881174048,1,1881174084,3,1881174048,1,1883598880,4,1881174048,1,1881174086,3,1881174048,1,1883729952,4,1881174048,1,1881174088,1,1881174048,1,119566368,2,119539488,1,1881174048,1,1881174065,4,1881174048,34,119539488,1,1881174048,1,119566386,38,119539488,1,1881174048,1,119566387,38,119539488,1,1881174048,1,119566388,38,119539488,1,1881174048,1,119566389,38,119539488,1,1881174048,1,119566390,38,119539488,1,1881174048,1,119566391,38,119539488,1,1881174048,1,119566392,38,119539488,1,1881174048,1,119566393,38,119539488,1,1882288160,1,119566384,38,119539488,1,1882288160,1,119566385,38,119539488,1,1882288160,1,119566386,38,119539488,1,1882288160,1,119566387,38,119539488,1,1882288160,1,119566388,38,119539488,1,1882288160,1,119566389,38,119539488,1,1882288160,1,119566390,38,119539488,1,1882288160,1,119566391,38,119539488,1,1882288160,1,119566392,38,119539488,1,1882288160,1,119566393,38,119539488,1,1882353696,1,119566384,38,119539488,1,1882353696,1,119566385,62,119539488],246,[3900608489,3905645479,3251332354,0,0,0,0,0,0,2486055680,1534289933,1712675089,2400599607,3054562577,202569744,890293806,756113169,1343440942,455030063,1477574189,2434527262,3190719778,1393016327,773014302,2315255839,2618384158,2737741102,3744396078,1477617974,3089250578,4213364754,17825295,3641705488,809305108,6135869,0,1061005568,69508644,1816351296,3460394305,3880988481,324871762,692466502,3512208728,2470956359,391129681,2770954324,472494377,2524872805,2272326013,209325688,4100097139,3447369081,1026264186,3894114846,3911587624,187234345,1193443369,304483625,2904257830,2188071275,4200963179,307664981,2554642519,927247428,1459701761,3020000001,3842103553,4177654785,369235201,1342315010,1828872706,2835514882,3741493762,973284098,1292059395,1761830147,1426287107,1319817044,3544379076,248402950,1426259,3310764371,1095716034,1162200004,1325450704,3218231116,3310571340,3561902011,1095060633,1381208786,3687729484,483675721,499600979,516702788,1208800079,1092002898,1286851660,1157677267,3310634316,3243524521,2261600644,1414743621,1178971346,2916372041,1314080325,1178971847,2949399108,9946693,2714063692,1384236110,2781172545,2798930244,3528413778,3570160295,1490408018,3327069136,4057354531,2194820864,3310539214,534268175,3478408960,1411403657,1397721551,9290325,446978117,1431326208,2345043412,3528741710,97799896,1292947534,1263465168,3735312709,3645177856,1129251017,3401929793,1313428048,1229757908,1352586323,1159451471,1313442004,1095741637,1397341380,3343881172,616779530,1158860357,27546694,2475599,3528414287,1196574145,3293560261,2755938803,1480916995,3611657172,3553906580,3460648960,2631161274,4023555534,430199875,1330205776,3326523598,1230110941,1334957134,1335412043,1162154451,1163073483,1163052756,3352577363,3561900367,550389212,3461677056,1431586186,1166986834,1166525505,1380930643,3443887301,1431520655,1235797325,2756986951,147082754,3444919877,1145979307,1514753359,1124121029,3460646226,3494859976,3493943184,3310764452,2822983870,3494204626,80627663,1225249361,1381239246,1381241764,2756136521,1128354006,1327014981,3301199445,3410184532,1230132257,1207968455,1389219397,1386401359,2747680335,3467133505,3460418767,1230176269,1406650190,1090572498,1379996876,3671217232,1413761280,1229037768,1229493972,1169278284,1387447374,3083162697,4040314624,2868903936,2867506665,3740053483,2817842413,3186015961,15252711,2088532345,1011241087,2071603250,27522,1681615789,1722313553,1817404163,1702126368,1662608146,1663591233,1667916849,1669948239,1706301655,1480936960,1769414740,1970235508,1329995892,2035482706,2019652718,1920099616,1375761007,1381323845,1769414734,1970235508,1330061428,4347219,544503119,1142974063,4281409,1701604425,543973735,1668183398,1852795252,1818321696,1984888940,1818653285,1325430639,1864397941,1701650534,2037542765,1684952320,1852401253,1814062181,543518313,1651340654,1392538213,1668506229,1953524082,1953853216,543584032,1735287154,1967390821,1667853424,543519841,1768318276,1769236846,1140878959,1936291433,544108393,2048948578,7303781,1701604425,543973735,1701996900,1409315939,543518841,1836280173,1751348321,1953844992,543584032,1769108595,1931503470,1701011824,1920226048,543649385,544173940,1735290732,1920226048,543649385,1836216166,543255669,544173940,1886220131,7890284,661545283,1868767348,1852404846,1426089333,1717920878,1684369001,1702065440,1969627250,1769235310,1308651119,1163010159,1162696019,1397051904,541412693,1752459639,544503151,1869771365,1851064434,1852404336,1818386804,1919230053,7499634,1936943437,543649385,1919250543,6581857,1701734732,1718968864,544367974,1919252079,2003790950,1986348032,543515497,1701669204,7632239,1769366852,1176528227,1953264993,1380926976,1953060640,1953853288,1480936992,1968111700,1718558836,1885425696,1056993893,1229477632,1998603596,1869116521,1461744757,4476485,1145980247,1953068832,1953853288,1229477664,1174422860,1145849161,1702260512,1869375090,1850278007,1852990836,1696623713,1919906418,1684095488,1818846752,1970151525,1919246957,1818838528,1869488229,1868963956,6581877,543449410,1701603686,1685024032,1766195301,1629513068,1634038380,1864399204,7234928,1698955327,1701013878,1328498976,1920091424,1174434415,543517801,1701997665,544826465,1936291941,1056994164,1140866816,543912809,1819047270,1886275840,1881175157,544502625,6581861,543449410,1868785010,1847616626,1700949365,1631715442,1768300644,1847616876,6647137,1766064191,1952671090,1635021600,1701668212,1763734638,1768300654,1409312108,1830842223,544829025,1701603686,115,270451456,1338462720,1338462848,3405833344,4294967295,4294967295,4294967295,4294967295,4294967295,1342177281,124911672,118489086,1034,0,0,0,0,0,1792,2098951,0,0,404226304,0,65616,117899264,0,16777216,16842752,16843009,16843009,16843009,16843009,16843009,16843009,544106784,4285222656,1916928013,7037285,50332859,126501852,1974549571,440583,4058765571,24412732,1125092035,1396912010,3523991947,74766983,3661355655,1526730937,3640911476,3048853483,9562376,512460493,3347709998,3237921570,1335888244,2998929923,3914167571,1035085501,3107566265,2998482610,884128053,3107173049,2998484658,1085454647,3107959481,2998481586,984791363,512434923,512295735,45219886,3104551609,2998469042,313702666,3105141433,2998470322,229816598,916635698,6267397,2718196386,512426080,512294958,3224503111,2718197154,3347711083,3237921570,512296052,213451593,1159629576,632416515,2328005209,2663114,54730379,55254665,512481927,3347710791,3237921570,512297588,3666281300,55975561,55385739,3666336523,1946374075,1963401739,2265972231,108259802,126402610,149475722,62176036,3263858637,141771836,108212796,108142396,321661104,2318323850,3221897991,1129052277,4067805950,1193184083,3733413379,780717398,1060898698,3143304821,3572171700,1534246632,1006632634,1971965402,1978591491,3273836426,57983230,2958858728,586279167,2328713648,1872937010,1010558976,3139672808,2364016429,2662514,57999916,3442339560,4294949771,3022473,167984800,2336847040,1392721694,1516004840,24635474,41036464,2900893872,679798818,839807834,54436544,3224547563,3942858402,1092520725,1926890243,4189737713,1524251647,512354419,4154458943,1958742529,766044586,1915245032,99215522,3372138750,3902577012,141756205,1965462504,4269205763,2315532520,1965046791,1542514691,20047954,512335194,2362245955,1877541746,3897643579,2968010222,2629831173,55121545,1912664296,1973198089,129034499,2622603274,447604819,1364827483,3605529459,1386043928,2690271092,3221881963,512428149,512295690,512426799,2271085400,1398363870,3897809155,2304465685,2265143326,1497336026,1128485722,1128470409,1224784058,2336835913,126397682,2320056899,1975847617,1519242738,2332040936,2298800414,3892531742,2395808585,55713419,82386569,2348734697,2264936478,2331937498,1124567770,24446730,1128481731,3221882762,540807284,188544371,4259901810,83486724,2269375723,3944188378,47828,1008170066,1511224364,1376134120,742137204,2951223668,41216547,4206505020,3892540671,125044236,57945148,2315084777,2265135902,2271107802,2337494750,2332045342,1124567755,1268713226,1133868190,991923011,2346290138,2289366303,3951391733,2730504930,4238476029,3113209090,3099197755,168266240,3139466688,3280601408,3364536618,3306866570,3082545290,2344628736,2336402170,2336402170,1019456250,3909317922,540803123,4238346612,2327841282,1127183367,39118928,1949969496,1967799302,2718019592,4255253244,1968516098,126505132,1951973386,1946630826,126505178,36497475,172223723,1267890368,2444246844,58020178,3120620265,3538420587,606726158,787022707,1589269249,2156555,4041752181,191019523,2952795624,3909318025,1706688520,583691,2377131637,11397465,2888757899,24494090,3905456835,3241807509,1111750261,1330113259,1330905120,4347136,243263579,3146829139,1093402883,3364536322,3640852661,1528269614,1726501699,2345175566,615263986,3909318015,977469867,2337306049,1118580466,3799629834,675070346,4069203316,3510414382,3493598580,921178484,1949187086,365422595,57802928,1476492009,2888757899,3221918157,602473337,207247616,4289745024,838947304,50176704,21555288,1543418601,2888757899,2042628674,2381005559,2462928971,2316045498,787647432,1958742700,3241820695,351007605,2846599820,2715068582,2308871050,9293198,49004594,4255252912,1515804674,1968218428,16443395,1974549592,16050181,3644647856,3337159540,3857207296,3901730816,1347944674,2331946473,1949187079,1916419086,9496835,57880636,2684389865,3221881597,1515784074,1659437945,1009218814,3909317934,246480473,1375776232,3892570344,2271084797,3666302686,2615722890,1539803648,3909129704,1364393471,535299978,14674013,2689817177,37487355,512432757,3347711139,45137930,3280604789,263453578,3362982460,3421180164,80269392,6088731,3892618171,57806415,1476698043,3892808272,1129840714,4101359870,4256033115,1107520186,2888757899,58031908,1107323881,4069197626,3950357550,1006661609,3909317670,3897818565,3898278411,1211894999,41225136,199756976,3897643520,3914927321,984678236,1118501515,180456009,3271652549,2615744434,1536413178,2731081291,1515782909,3893141736,3896770526,4041739417,1022653217,1007186746,1022128944,3924325422,126549299,175317052,108267836,41159228,2689605808,3237872381,3372089972,1274978281,540805002,154990964,171767156,3276009844,966943920,701687811,3877656040,991332690,50044931,159115344,703091544,72792848,1532380648,3897776474,512295837,45810485,3906732800,511048051,1263720707,2320185226,1396917015,53812875,1515969083,2337990005,1159629283,2270867715,3892883930,2337480419,1577268510,1398201991,3022475,1457424222,3424644584,1963793128,4190562563,3253273458,250125561,2018745609,1894659,1583188712,3126255239,126484481,58052412,1376834792,3906635603,669734598,3898413800,1364940209,2164308306,3599430026,126522573,28364604,3488091765,4108866312,1435756636,1533874920,3364508241,2316090088,3897250280,57933995,3908650985,2699564673,2337493760,2298763806,2332044830,1577270046,3042369159,2258588034,3297136836,1355056799,3488203910,1367520612,3421061867,4178766328,7727299,2513260779,3910099945,3221881557,2319706997,118113031,2336481396,378094359,116785198,1962869878,1538282278,2266811112,1450240218,3236453808,334191388,2615711437,1160153373,1126074627,1007127043,1136620858,977012618,3904547698,2759086606,2876408108,2725464636,3221414962,2546856075,632618798,126501632,24263228,1948269763,1007186676,3237934384,180603134,1023112384,1014133259,2684777758,3221881600,1947221187,2722320444,472646400,4113316211,4265346931,126491509,4263414083,2315302658,35555800,2718085123,79364865,3221903360,1124567747,4263414083,1066027778,938009067,4263414528,4271106818,2730545344,1364329217,2265121466,3907554010,3666302227,512318041,3143107326,3221880836,1913208003,4285131011,4277481532,3284729536,1006829728,1008169743,2333307405,1963131422,1128481546,2319652746,3923412791,27284586,50045443,292816956,50470539,77799049,50601611,77930121,50510787,2991889897,45267203],247,[3104092857,988285106,129939743,753234513,2328398401,4278577384,259385916,3909025512,3497140001,3901374764,2331964136,1925262021,1589706435,3143032455,11862880,394844419,1976106563,126508025,2826251324,3959344872,4274645173,2031006696,3909464731,126547834,378220092,58000201,1274983145,1023323880,1006793742,35031821,3909317891,3224567455,1258487970,3892314298,24313491,1352618947,991533243,2317054682,64654078,64685018,1490748378,2318412958,50378448,1541048282,2656622059,58049371,1008499945,1007121422,3909317645,1978151075,250132764,61939435,3894149864,1398407061,773753683,3733413376,2676863062,2253440134,82530756,4286310481,1006829728,1960478477,1947090108,4139706627,2337528455,1577254430,3898007175,1396899921,3022475,1935399483,4182763523,1189610354,1225618425,1034030512,4243086083,3285814034,2749958322,1972948470,3909072630,3817600506,54861449,62033212,2347303796,512318454,3904569390,3733413390,2975576150,2969758522,2315302144,2328726209,2968013800,1958742781,1959082686,574374842,3237931380,2351754356,3308971893,4035626514,72933355,3893684995,1609049564,378136348,2689729339,3897557755,1582826885,2320948871,50045160,3314206010,635962996,50044940,1006937018,3120787973,1012073631,2335274243,1392812830,2333576003,989868062,2333176794,990075934,292772570,990063803,2953475034,384231514,870898311,383707156,1457424222,1515372264,2805777243,417870453,468510973,4267698313,225759755,2331529192,1540459253,334037874,1293322751,2698670595,3221881679,3514090122,2315266208,4123978192,2316101096,1021872647,3892671629,1267276722,3388918410,58049930,3908876777,742194714,4008421237,2332250042,3221925106,1760101237,2730557173,4203413544,1007127210,3893392515,2239102453,57987595,4278088169,3892767680,24444055,1260293059,2346354435,2298693406,2264935966,2330818010,1975519751,1128481540,3001631555,208726270,3221936757,2766734197,4112574973,1375734458,2649235316,1591379965,1951850119,3906635542,2334923558,1946370326,4254328840,3790144372,2329577460,1975716551,4252100867,54599305,1526939298,54468233,4124830041,2315529448,1965833223,4229556227,91523388,3441093096,3538441035,427055953,1979451112,238863105,3437822837,1947024637,4225820931,50470539,3892426435,3221945897,3840472692,1973501179,1976499954,3906071534,65732970,1261542376,1979436776,421390339,1072235381,1977039873,661383427,58052156,1006676969,3909318098,1012072612,1013806124,3909317947,3898147095,3897754537,259262371,3898425832,130421442,2736687904,3439853060,2736688025,971526916,3893195804,58196273,3892326889,65750401,2315266464,1958805224,471787555,1726482292,3943139909,996730883,3221902171,117575284,4261704693,1925528264,412739587,316598363,4285262171,851024589,3911092992,3906536196,126491624,715135093,3907553792,4282137394,3308915828,1827144562,3909317144,237764743,3505847411,3897586411,4058577671,1011898378,1241609426,3221931658,65602424,47616,463923283,2666007924,3909318656,4008181781,2684611396,3632922665,125092094,2095579319,1541048145,689545704,3526121547,3105059923,512426034,3640853737,2317053928,3892540679,3505797822,275956226,427081982,2316826344,2043215554,911619,3901407486,417865904,1976434199,2296929273,4273793530,3224542157,3897643603,1515793542,4169842738,512350346,3277522153,2680173139,2253440134,719972548,3806921588,783897586,3053629952,2295923709,1526771767,3895060201,3221892659,1954888899,866314499,2233012712,58008380,3895470313,1944591664,578480128,1380926696,480766035,57891162,1360610793,3892360530,2958758213,4237551875,1684361791,1919295599,1931505007,1953653108,2319646733,1975519751,4069714179,4067762748,1526766569,3440175963,54173852,57982986,1509061609,3893694651,512452107,3905094467,3142791060,3773366774,1948466176,482273522,1360366777,11543100,1604517808,3906958596,126488795,175451196,1604501554,4187875332,1877476587,3897768728,3277525296,73375827,175423498,216547248,3894456342,48764423,57891100,1360568809,983744562,738706947,1398528647,2957726290,54108800,3908656872,126493349,1965571147,11879200,1290323454,3909318137,574419432,1172898677,1948794111,1965636843,1976434409,4180797669,742131572,3387491188,3733413617,1007127126,3909317676,28376881,3892619682,2845835362,1959329284,4280281347,84797523,2364015477,3897252626,2271148283,126506718,2339646524,3974646619,1539312376,183042932,738707199,2337474283,218324510,983744562,3733413379,3892636502,3895203746,2271093016,2320651998,1949056007,54173706,57982986,218139625,1386397746,425912324,2347303796,78243886,3896014160,4035639451,574417034,983567988,2327841283,3053614320,1261221178,1477424872,3364487940,168055456,3271652800,3666329994,1578551995,1381424775,3908759785,1348008035,2612593980,57889046,3914529257,3897250557,125106255,57945148,1593729257,1263984263,1962426088,4285262083,54173786,3666329610,904463220,3915076119,1659436450,1975519994,126501653,2986805827,3909317892,2336485582,378094359,149422903,1971600632,4283427293,3877033448,3892315369,1260918478,2974941366,363194369,3001589197,2730504705,512296104,512426834,2321089362,824084743,1944468483,3913073409,3912004978,209047690,1006828448,1975683587,282519811,3849522236,3053682875,2329543424,931802821,3581134394,389986641,3452340817,1954495646,1917926500,1023288429,2691134586,53215995,1038680949,4290775792,2030347062,1173763,77936383,149488506,2671181568,2704736004,2315453444,1374194378,1360536505,53550731,3070190569,1927687168,1929591860,3489741872,986067664,1945144006,4024363267,53550729,3958847208,1399187680,3108780008,2142659881,3897739755,1398428595,3944427961,1019579070,3271651940,79319633,453229412,51505235,1994982260,2736688127,3367588612,1503456037,4238524810,50044930,225822010,678691388,58000444,1929412585,2331019833,1946696901,1019644462,2320987144,1946434757,1019644518,3909317891,1702096764,3036916411,64553728,260714201,797584963,2736687962,3905114372,635982604,512318284,2304443553,1493475102,1264248922,3142776808,4238345110,46190594,316181187,2328046279,529215224,3314213887,1274472528,50045528,3547595836,2736687451,3906071300,1515803287,3942883515,1642617805,1248192587,1531652328,77930121,2736687451,1407576836,1357437575,1172855626,1246357579,3897310185,58062387,1945036009,1355606275,1914064616,14412035,57876540,3455483881,1975582367,23783683,3913074942,3929855348,2951283573,1965177856,221112579,58053436,1006759145,3909317926,3577479377,3907521653,2662645,38004819,3560751963,3639086453,512447477,4159177543,1019435850,3895358938,2615735751,591144980,3102215541,1088967429,1541048102,3892315113,2213027577,2270374164,1977289690,4141738243,1531678184,1976581315,33614083,58054716,1007717353,3909318088,3694934992,1290339189,1977498670,318368003,58054204,1007644905,3909318021,3678153272,2766734197,1976646715,41871619,3908919528,3274249262,1575517622,1377733629,3605549827,3905117027,2270371220,2736687578,21096452,2951218036,2328058698,1918974983,1937456377,3277792501,57943612,3136711913,417857536,4293257461,963923772,880101436,2319648181,4292208647,2266311400,1007317978,743273274,3947459120,1934048262,53947459,64685019,182125531,2279115459,1976434394,3985435089,4107659339,611572359,57817148,3119344617,55642064,60584667,60322523,1502900955,808190133,3640903818,3589003911,2269813224,2319696858,1015098375,1393456391,1022663400,57957160,2957631721,3489707271,1372097216,2331281128,1929723073,4236503074,739463656,2269746408,2736688090,3733413380,3666301782,2265212392,3733413594,3894537046,2271149822,3280623326,192023612,2714573628,3892540243,3126546555,2958170581,78160385,3439376825,785974176,3472762879,2239031868,2171874620,725403390,1019412853,2684056809,4274232907,1505759936,4278502690,4176003098,3054496585,4229097562,4149252840,2736687571,434723076,50045180,3372091452,3372140798,1355123395,1481668328,1970945114,1250552067,58030908,3108529897,1011967244,184776006,1346159578,3659727733,1966881987,3285857027,91566652,3556235827,601094083,3285448666,3488209451,6529096,2951218155,2327903795,2327851736,1233447416,1375743720,1593717224,2337726087,4294606871,3169387381,129699572,922702693,2689729360,1011876603,3892540675,2270694647,77839322,4083280075,1006633145,1007711003,3893129745,44102483,3502246403,2278066896,1227738,3666336003,4292470979,303097938,113436903,1457424222,3277526921,3916746812,477417788,1393687016,1158804968,1192358376,125098636,3876710888,2298911720,3271774230,3892442088,3666280928,3666286473,675022730,854131572,4075940085,2317041640,1965636615,4112771331,739359208,3387485931,50044929,2303770634,2265141790,186616794,3909318107,126544756,57944124,3892367081,512357051,3666281265,55713419,672237032,1397801010,2159073927,3892525474,3666287344,1457424222,1342372768,4204521554,55713417,824084827,1105745923,3892621569,4173008951,2346451967,1207560419,1342372768,55713419,691799946,1005065076,2337483793,3892523294,3945533746,3835844785,3221903363,4221718132,47874,3219708931,572231,3817593859,4261655386,4069214915,2025851564,1246382838,33749920,2699594435,3364488164,1681704194,1424556914,3280621811,3871015093,2329477891,14674120,1360840121,4103727441,55713419,1408367336,53550731,688966120,512316080,2090861361,1342440451,3364538576,1477416680,3505834122,3632972030,3691249591,3126059915,2666005370,512318208,512426874,512295908,3414885244,3120791227,2263352294,2331544064,3827206616,1344178947,512312068,3347711056,1302512394,824085252,4187023363,4052609099,703136628,4253935850,750391669,2736687875,1926904580,142403590,2332616424,2315483678,1137937143,1125091907,1094791050,2059092289,3139587,3817593479,72359563,1344178507,180849156,72196803,609441883,59554567,11913354,4243118339,2344836092,126397682,2320056899,1975585477,2337522674,1124085278,1968954123,3909923572,3890801102,2159071503,167983522,3922233863,2117867867,2649293684,126501865,1971534915,212134147,58040380,1010282473,3909318050,2179545280,74836201,3924613767,1642659129,2817020420,3420990479,3905116672,3287220208,1392503784,1258336848,1961933544,260892679,11593772,1592822360,2690047623,3221880926,3666283381,853182444,1959142082,3921894382,591194420,2531802228,4237420792,2112378997,3066464800,181466624,3909319104,3498766771,256436306,7137324,3297156954,1405388368,46303826,2966457024,3297156884,3921970768,1357389832,5040368,253814864,4515884,3897709400,854073543,2042628666,4050774275,394811971,787006299,867756032,738208162,83653390,4275107356,2730623680,3905093674,451473427,2632471544,1541048140,3221931658,4026656963,3908569320,57999339,1274098409,2330981096,2145960898,3907537909,1503841775,1374352104,2334661096,1258502942,1961875176,245950478,532932652,3224502962,3139540712,512360447,1978138670,2953147664,7315969,260725339,1127189059,3238708618,1038680949,274393321,132645749,260722957,1127189059,3733413457,1004177238,57891290,1592336105,1398201991,2312800081,3892529438,2321237418,1946762247,3894456325,417860595,33012480,3892315624,2548763827,3221882762,3905094005,3947042665,33012211,3224567734,839056546,73310912,3945232872,4265820422,2329900238,2344618503,3597970169,678562620,3498713148,574371954,4238346869],248,[2717987842,581960444,276118076,3489856672,3490149080,2734499024,984613628,58310666,2315271401,1949187280,22538249,3224503411,1587550443,1958742532,1975582223,2334175243,4265716473,3271652814,1587675568,1019382276,1007120907,3909317408,4186636599,2692934570,3637510908,3637527410,1383323856,3644589962,2780516691,3480572704,2901510985,3346353468,2901510985,3212133692,2901510985,3077919292,2901510985,2943695420,4267399256,4274454214,3955687110,2321242413,4281723143,201522336,50110978,2697183282,67896060,3503354859,126543730,58033212,1023402472,3892540815,126549989,126533886,2319648117,1132405767,58040636,1011087592,2315941297,3913040647,24424880,1381061451,918266829,2984806913,1136787008,3549099914,168266286,2683466944,4101611075,973572654,2280158661,1959804122,2328968194,2321111745,2685171152,3221881950,1587675312,1008069380,839349595,73310912,1587551723,2965375492,73310975,548408692,1101724043,58052350,2315625705,772205506,2319648650,2340365520,4265716473,3909318094,3255436685,2822564217,3224503669,1527013026,3908986089,24251839,1915763907,4114234619,2296925123,1347506925,1492001256,1361163705,58002236,1010983145,3909317900,512442979,334037762,2690275663,1337066240,108268348,1219628092,649073781,1101724043,3228880638,4186686090,3472769450,27309684,2986621955,2986766848,2986505249,1007127075,3892540704,126501714,1958742595,2868480810,1959722561,50438287,3933340732,2342406559,1100983537,1006925214,1007186990,1006924868,3000202565,2328881920,1958742722,2868480777,1976499777,512475905,2934506238,3891390717,32893009,1364286041,1944592616,2331478539,3733413587,3661321046,15270770,120437742,1499002600,1577704891,2270617223,1478396890,2901576451,1101724043,1977236290,2312735732,3271776286,3892327144,2384340163,2315472926,4008255239,1501432,615639122,738941416,1526496744,1342606854,2868546307,2062074631,82334708,1541048064,1806547395,4167690321,2764961400,1006937760,3907876240,3900201131,3108537064,12226944,1077602560,1358957241,3582653834,742143348,3897690996,4002082164,1952107146,184608806,3982944300,3898088820,1378618102,1961715944,3837192451,58053131,2280475369,3733413594,1373275990,1525107944,1189630290,1524206567,3666336315,753468275,1482250989,367743571,57923843,2280464105,4189803482,1541028863,283706227,395006701,3666334219,2316072026,118113031,2275298207,1372943834,1493181672,2337430362,3523953431,3666285684,1457424222,2302925447,64653079,1541048281,3048858859,222056712,1034076210,807308035,2319665920,118113031,1136853365,3896711051,3221941115,3364547700,167984544,1958841024,1017498971,3893917095,2302471011,1558766709,1963867371,2900906717,1976699884,1009380106,1389131022,1408016104,2682686696,229678665,2028486514,603765512,1466558546,1096869979,1364417369,1531007464,2750106458,1701080661,1701734758,1768693860,2123118,3933539644,3965839442,1138394963,260719427,2955905603,603437838,4263414611,2286637826,260590383,1527220299,54370499,4168400906,3909044713,3896641970,3896576430,3897756074,2688879014,3221881949,1860764532,512447459,3666281306,56368779,57989691,1541627113,808191882,1240007539,1912749283,3812813059,4261698722,73245376,3286931176,168266286,3908596928,3947036675,3297157107,3921970768,158598937,1408402664,3947300584,3535491872,1453713444,1510793704,2414412659,2319667721,1157687303,3221882762,3840468085,203327814,1067378688,1632813915,1836016750,1836412448,544367970,1684366707,858597408,943077170,544175136,909586995,2969577783,2969758493,2264970522,773753818,1511950592,4275734276,216550341,1008170218,3893064994,3221940739,574360692,2705126773,3443268980,3221939317,2319652213,118113031,58053002,1138925033,2302875531,3892599318,2403133911,3897624437,3948538897,1971600601,48779527,3471530476,440189322,225707914,2742333756,2708845116,2641743358,1954692291,1971534998,1959657108,3919440115,3666323572,3022475,1511951187,773753092,1373275904,1494341608,3917604939,1948592826,139520008,2042252076,3733413413,773753174,3276954368,2829078687,78225924,1352638040,2829238322,3281934340,2315443176,260719367,1513065027,3605549137,4035598338,2319652746,797590287,180521563,3271652806,19711626,3224566130,3237921338,3472814451,4052470526,121258412,1956529055,1927935452,1039657023,4243065067,3892570941,803752622,42592256,1361647545,1396901770,1526770664,2319650698,911407,3906505299,3277455963,2515009968,53263104,1124567123,3277526921,2317530443,4289811445,4261907011,1958742721,1959148040,1975859716,1965178095,3903973379,1019578963,4262294828,1959395009,126503687,4118028348,3733413467,3666297686,3035152778,53263103,512447152,512295692,61867171,3892509602,800734743,2312780547,1526926366,2608138122,3909095610,3896762658,3974692754,1048373249,3472803582,4052452724,81389740,58002748,1090889192,3221941483,2656568043,512446623,3666281308,53419659,3364540662,3640917941,1926904643,790530319,3666297603,1489215064,3281962118,247111256,3909317888,3225084106,3669577887,512446758,512295690,12256047,512447232,3142779740,378209038,3661300492,1948723897,10283267,2298733243,2332315166,2298698270,2332314398,2332252190,990137110,2317055194,1128481543,323348560,1963146328,7464965,3498754098,3657629878,512482795,394986574,512479755,427033434,512350855,1128465486,1128470411,3657685639,72031881,3085687431,1544981337,1977236227,7137539,1346570122,4175971139,1125091858,1480798090,1020855123,2312992003,1526936350,11865994,3640908035,2346354499,2265133854,1960459226,667269572,180367953,2655231751,1134499722,2671217310,24485443,2345372611,990064414,1926859738,2271108083,3661321950,1457424222,1943636819,1482185187,3276886611,3674954586,2320234868,260721455,529156947,3640852663,3515544970,2345372491,3892522782,2287680672,797459215,3914062219,1397882592,77799051,1457424222,1592828136,3898007175,126499821,2736687955,117592836,1929383866,3749243139,1526586344,1577076968,3898007175,2337472575,2265132318,977114,3137342440,2271090490,3914553054,1583087111,2320948871,260719367,2318371395,4274257624,3271652811,2343367051,1111599866,2464739819,2736687931,3906635524,3666280480,2320688501,1255246581,512429962,3661300527,3224504949,3640912010,53419657,4006462299,51125899,1261406795,994774922,2314106330,3271756830,1360756665,855619560,2331019968,3284142599,1360756665,1979706856,3881167107,2333576003,3905137906,250150190,756976630,1494714371,3908924137,3555255807,4159186948,3421000437,4209519620,80013549,3733413417,3974648662,3892671729,65795553,1526708712,3892315624,548468181,3905063504,3901422828,4274388568,2344383693,2281909534,3455992583,2951477621,838902760,3733413568,2965932630,126505811,57853242,2981807498,1374179584,1398495741,1127189059,3716824970,3640852661,2833828747,3906505468,3898277623,3907649293,6744316,4069216858,3955567276,2329577404,6088711,3456026110,2565407605,3051901414,3297138689,3733413534,695581014,986250833,1912648967,3364537089,3240757130,3901407802,3934974834,4278249667,2397635445,1137740529,55779211,2284817114,3733413431,3897250134,3202934039,2287687999,3666330415,688120296,2320587353,15254506,3976456421,2968584936,376721409,4109625432,58048522,1357260521,738442728,3907841256,3018340861,2337483779,1577362206,3898007175,2749951193,3897764099,3666345552,1364745049,1365575609,1360756665,1156076112,2321046270,2328428264,2953263816,2342679296,3221925106,2574566794,2319648650,1066025775,11918730,3240810755,1381099658,1457424222,2336427914,1381194519,2901576529,510986042,1959394882,3455992588,1515908981,3224525401,1515871171,717589081,4274062023,1515832256,3455992667,3857436789,671293928,3893139432,1381185889,2336479879,1545505559,1926904579,807308050,1943681792,3897776906,1398537006,1530511080,1457424222,738390504,183768552,3909318080,2320557387,6744071,3959744594,4253739091,1499191943,1592298072,1398201991,1583679419,2320948871,1958742721,705137296,3909317573,3237930267,41075002,3448422794,11913726,394937170,2319419971,2329478106,3666303720,2336427914,2329577247,1975519937,4069245697,1107789996,1959394883,1976434420,4289905649,125053244,738357736,3908277736,3274244714,1961858792,452867,3908899560,378272636,512426844,3421045551,2679426543,2253440134,635982788,3909317636,1482364893,1369359494,138170527,1743261813,1958742563,3905486361,145761123,154941675,548409461,3909077736,119808846,2656629877,540853081,698359922,3907553792,3321766714,3455978356,58049850,1946186472,1962884105,3904962053,2656576295,1481678681,578611358,3904228803,1031013308,1930933992,1397903859,604321440,87466696,1528351976,1805670746,1958742532,822798595,168095648,3137828032,3914534632,1364394221,120437586,1515127528,1527623769,554887363,583854275,4168400906,130419691,57337856,1963062971,2964770055,4281198605,1946377192,3284152835,2900934706,3284152866,1587591117,1975519744,3303588609,3892540927,2431189468,3799902209,548399187,2968002932,1975519999,45109264,2348387304,1510157598,3504936841,2078822649,3498727673,3153873640,512294918,61867171,1526922146,512447427,11862794,3640908035,3274319536,4289779850,4169844506,3691185778,3271652187,2891403,512314187,129631045,3671386368,53419577,1381099891,4194756691,962157147,1929588510,1977871322,807308246,24766464,2718196898,1034027838,1124567043,2302871432,3439548446,807308206,2949466880,54206089,168060320,840398272,73245376,3036961954,56671002,130461901,3455992580,129693813,768768,842516200,55550656,4169848970,55385737,55975561,50994827,168061856,2298770880,839069470,8186048,56106635,56237705,56368777,168060320,3892540864,916460980,1963009029,87466499,740199257,2303412992,1124287774,2343685443,51297251,51125897,3908563944,3224561354,3632986250,58465929,2298760610,2298733598,2298761246,2718136862,1364394809,54206091,3285859267,4244343646,2337711662,2315941343,1916419079,485081857,3652381153,512481927,292814896,1390992007,1256739810,1524206556,199820146,512314339,3666281310,4278023619,1963584448,58039543,2635407336,54730377,2298678971,3137539102,2337931020,1392520734,583240348,1958805191,1411287308,1126075139,1444841731,4260751363,120765341,350815092,3661752794,2958036912,4247382110,3896509528,3974757667,1444842493,3134917379,57999377,2346272233,2298696726,3271568918,2730504888,3905094774,1397885128,3892604603,512439819,2271085402,1827165918,937971948,2917674239,3901380616,988569320,3909317829,2271140104,3666302686,1511951187,1977236227,1583045139,1381424775,1530254056,3892604602,3277534667,2967561961,54108673,1963488232,966939635,2331871747,1229539801,1236070795,4168663050,3657648457,512481927,3661300572,2343367307,1117760249,2655100830,2336878709,1545505241,126507779,3077909564,3957318376,3297138870,2328058782,1916877831,4116397305,4260293059,742194036,4226287988,3236449248,3907941599,1949105810,739675112,1949056000,4712451,3752454219,3897455698,1949105786,3663944,3751405643,904463220,3733413592,4005253974,1943681792,921197357,1395094016,56106635,50336953,1943682009,2312800025,1526925854,2891401,3902204763,3523998448,2565407605,803849184,739675133,169224960,2344282883,2344758211,2999829456,3911093075,1541081860,1311769027,4247839024,1529868591,456142896,1444842288,4909056,3955425652,3942756356],249,[2734665730,3237871728,3070322152,780289,199813237,6219807,2697183282,3275358300,125040756,3224557706,4263441897,519104963,973101984,2967696579,1958951425,3922460381,698359518,1959213568,3922198225,512433874,28770395,5774985,2334049769,3892336158,3061121033,2315266464,2965761016,1959213569,3922722473,1537220266,2700642816,3632922716,2524104490,3897606398,1486880921,985923072,1942748867,1925659149,2952951049,2731081217,4267180120,3909318088,3739746307,1537262366,2698545664,4169793628,4050830122,3897606398,1486880895,1925396992,2026322448,649475,4289725045,1487061246,3372111872,3152662388,1528728350,6135808,3314215050,41141050,3342522506,4169794163,12044170,3237921578,1342206650,3657685639,2286094216,3372106503,3666344309,2730504792,1503789144,5939712,1358900201,3036690408,2328398337,2868546501,2901576522,3364546954,1976106584,3947938561,28659946,2315261928,2344979144,2336402170,3918179570,4267231370,1357018312,3126062059,11993204,3657681918,3666282378,3284148827,7649875,3422421175,126409219,3277576839,1105766093,1444842241,1478396160,2727936,518766846,216547248,3894456570,3224566279,3439339426,18802855,5643915,5774985,1520617354,81913856,91540478,2951217584,588048639,3894624744,149429156,590932003,41229116,3221886384,1911030645,512446492,3666280536,5643915,3258631050,3347715701,74696250,5774985,973101728,2315613127,5939911,2746456,3044280946,3892444648,2917923219,1962476348,4139513089,993837825,4176083829,4265823196,787642569,4134864698,848608195,3974631089,3909319167,844103687,7512768,849525592,3639086257,3909319167,2320498720,3502246593,852003520,3152579264,3640865454,1125616174,1480034862,1444842322,540852992,3223454578,1946631363,1946762489,1946893557,1946959089,1914453229,1914715140,3284153061,84279821,470551299,236920349,168367487,100798984,235733765,889132415,885666902,867119929,891630855,872494413,854799479,233321409,1489532157,4156292789,4181846017,222037896,171708788,3314157173,3983867452,1976434243,852360936,3137833152,2697134582,3221880946,1642609268,3666301182,2264926150,3905158874,698352425,1959209472,1354825227,1476457960,4151691518,5643915,1493056488,3224553610,1118501515,4203463050,3284153002,3221883568,39512259,3036805050,5808382,28820282,1962944928,1478396691,166220288,698374910,2684711936,3372089434,3892337314,3314156092,276086818,4260292690,3070850394,2697199105,3840606249,4273003143,4035626538,1007127115,168326176,4261901760,1258517710,3326341099,3666280455,3075476912,461170689,4243066288,32947191,851704152,33006272,1979557864,3955490308,3942887671,4274490077,83371208,2327903752,2728168,41141562,3314215050,167801504,1975880384,1959213580,3908602373,3224509238,1959209667,1352683771,1370112,1492626152,4051028222,7512259,1923272950,3284152832,1444842323,1923108864,1958742528,256003,2697157464,3275358296,3142783093,134086746,973089184,2281861895,1352686343,3905456640,275906959,844160116,4247316672,3874014206,3422443521,28820478,2689852395,3342467113,11996021,973102496,4261443011,3905420995,1398472713,840609256,2965593024,1959213569,3956276740,3422442260,698355316,3908602368,74841296,1457424222,445179995,973101216,2685040067,3372089434,1520567156,21161984,4239321171,3288207733,99090871,3733413378,33286230,1541860187,840586728,2447950784,2685105660,3275358299,3288204404,698413291,2700642816,3364487248,438495313,1959788121,1958742538,1958820595,4274519791,438626503,3905142834,28770452,1394219496,3892334752,4267377069,2728135,3342516478,1105784181,3081074172,3955490305,2730504930,149618800,3894011368,259129674,1946173672,3908168645,1005066710,3892802305,3061055537,3224564203,2730504899,149618800,3894001128,259195170,1946167016,3908168683,333978030,3892802049,3698589719,48820715,2345921280,3892336158,3430283972,2531852727,1444842490,4208977920,698400373,3925379584,3422485146,3253208436,4277630203,2689713091,3342467162,1743264370,1501209,1118501515,1457424222,2271137790,74733278,3756771326,3221930841,548405877,4581571,4220184656,576198004,1022457024,2699916320,3241803856,3247105652,1489223714,698401785,1959213568,3905420825,4266852548,12314831,2697461339,3237871657,3950364474,1352716286,11003904,3897643971,1348010148,2598945162,3364509696,4261423520,986185408,2330424775,1405311937,704666784,1949266627,1528728354,3733413376,3280622422,2684378018,1554120797,4200261632,3733413467,1528727894,3075693312,419031041,3909202011,512490246,3422421078,2884109172,4194232344,3284926043,4218564668,309475900,4084351292,175266620,3950141756,41057084,3223503865,28791747,2315266464,1709724136,4282145048,3355314292,4051029502,1398522715,2766668215,3921894168,1240012867,2662936,54992523,3273836298,3666329854,334227572,1946285755,1134361057,3906106857,57989500,1540977385,55121545,1926461672,3661424899,1128520075,1128470411,3906635603,2321231438,1946762247,3894456325,3169383575,33012712,3907561960,512488791,3422421078,3422423412,904398196,4277630202,401664195,1020371177,3909317642,2337535083,2315577630,1539508935,141888176,3893211216,3277386839,2968802024,4098746381,1271073456,1977073384,2414396161,1538862326,3366998327,3224503019,2315451042,3904097551,57931721,852508649,2733148864,2319646862,1915632647,1007514690,1006924602,3892671280,863172523,3042044042,9353983,3321790476,1118501515,1007127107,1006924602,3907875632,3899914123,3832819260,658294154,4125688690,2393004495,1007127040,3122557734,3058841603,1948597250,1019674244,3271652644,557631230,146209140,4084474684,616663640,3067120255,532370176,2329543427,2320194359,50045638,2698449640,3372090169,2062091125,3909318657,126484496,58009644,738250217,3909317939,3224502470,1392720290,168054176,72000192,512433780,2126119804,2312766211,2265205534,771221978,168053408,841249984,72000192,56237707,72031881,56106635,3895319785,851705604,2331019968,2271107536,1539528414,1457424222,946518610,3883194939,991550138,1232362202,1457424222,4221587795,2699594242,3305242766,3364536574,1090565457,512442689,55771996,3897776601,2304453657,2332253214,1511950809,130435843,1977236224,931683064,394877507,31320131,1531107975,2730504899,4169794726,512350346,1088947363,3137828322,512294918,3277522083,4196305747,3733413378,1391495766,9353809,179106443,2268951744,3489793242,3905456856,3247109059,2319650698,4266738479,1408595400,1342213792,686348935,512317655,73072821,1507381250,1261406283,3372093320,512488821,149618869,852953832,9347776,168058016,185103552,3909318098,1498021983,2663679576,2271140487,2270385886,2327903962,1007127280,1015575596,1007121449,3909317725,2632502848,1377733077,512318211,11666170,1393027922,1355056799,512476294,2951283546,49979436,57982986,1489903849,2342438022,3909318091,120204117,2565407605,637440,2697861609,126354171,3067120195,3297138688,3909318046,260571338,3895429187,2319646931,4076202184,512312131,260571953,49979459,3247100112,1352601458,872701088,3049818635,1939757056,1100962052,2668595358,797459280,712697923,3372129880,1352653429,3398102666,3657685639,3488154483,4074563826,56368777,509515,4168473147,2319564850,824085488,2266466819,64685018,1272612825,1125615947,1922979907,2330495558,1124567752,395008950,2271101763,995120862,3909317338,501808975,1490682666,3414935806,4221625205,63671042,1912876251,182125320,51082432,2059406043,190723,56219907,2346354649,3271774750,1539316473,1124567747,2315302225,1507394504,2672972227,9353808,2326590091,2345008872,1128443122,3455977352,2656630133,3905116506,1793645658,4079020073,2346354491,3942949662,54173706,292864010,1406830426,983744562,2629893635,170887762,3909318085,2336478559,2317675295,45175765,1011025802,3909317980,540803485,3254650485,3967143422,2968160859,30861404,854622952,2328922816,30075120,126546058,1965112387,24111363,1383342908,58009148,4261503209,3909318093,725352750,3648260272,1124567627,1433677372,58023740,1006712809,983331932,1018590471,1008235556,2326689066,37503941,126485618,548414524,3455978101,851362558,1125123264,3322069758,3271487626,3455975601,126509428,1949187139,1948466206,1965833453,214338083,3958409792,1007127265,1949216803,4284868867,4265804209,1959657153,1124567606,4084474684,1005894226,2331478610,1952333011,121291521,977533813,1140225287,4050978618,751143491,1525314052,4276652634,65749958,2321209991,3271445446,477431844,3314207486,343195658,757860234,4265346676,145754741,3322020868,3456037002,1702141275,48779857,1364810459,2330626643,1019282117,3909317145,3330987043,1558741004,3933726779,3639102299,292878802,1006844578,1007121467,3909317676,3303590760,3666303442,1385976667,3307865994,2315302467,52399056,180718298,3909317824,116129453,3892345832,2640047911,1491665780,3892540414,2271145959,484988638,65625068,1575535576,2328755712,82330375,2982865903,2969955072,1476520705,1172884990,1956469504,1860719056,662694106,2337493337,2315559710,2315301353,3314176197,57982986,3907822056,512485860,173540515,3909318080,120258398,548464778,3456026110,1340670837,4004636927,2320561387,2965375686,3892540459,3277385379,53812873,3907513576,3666334223,2667603688,1151311428,50886046,2313391065,2332247326,1392520734,53812875,686510675,2313749364,3906635722,1735721023,512353163,378209093,378077230,1128465498,1128470411,512302987,3666280494,1406782696,1529316584,2981693812,1374259712,2345762281,2298763806,1526738462,1877563737,310225,2319703043,2193179399,1975597568,1095943,4008433923,973124025,3271652545,112793401,66614272,3134974937,803799070,121301194,3513641035,1927828852,1827165145,3896341725,2347250442,2736688104,394937092,2335672899,540847346,2286029173,394808119,3893362251,1264314588,1959869160,1950039074,4027115525,753421100,3895242961,3136023983,2833785520,3904563437,2699567792,3906464749,2347363943,1403571670,2280190602,1007252481,3893326906,4151902590,844879498,3455889600,3330982827,3372139050,91423292,1642704077,1912945865,3378178307,2320585305,3135802056,2271100572,2320717534,1918974983,1937456134,1361062914,4069255306,1111731246,1968817466,1976172053,787647458,2025851564,452867,173693787,3221930944,4069256056,3221924910,2040414879,1540197109,787647315,1975519916,3372149174,1145198923,1380144127,1347223118,1140666708,4231091009,2438494976,3176703832,1403637080,3297156946,3133441616,3657629742,120258480,3498754050,11971277,54440379,394931930,931802691,2663679576,12048522,2318326275,2318287639,1524270903,1457424222,4547,0,0,0,0,0,3892314112,3897808913,126544268,1333051402,1125616195,3666493322,3224555658,3892772770,2258632411,3297136836,3053777081,4274191883,2320331978,1914715143,1949187110,2868480808,3472769857,2253973877,2258607812,3297136836,4037079178,1958804996,3297138694,3921894302,3947087912,2718019786,3330934527,4017359676,3950117692,548465780,1101724043,3941322494,4186644656,3472769450,3136026229,4265805706,2062074826,2698545887,3275359455,3924362099,50378695,2346354651,50651166,2686421978,3237872950,126540660,3581198346,3062355,126540291,91425084,3236551885,126507975,3287924746,3476416587,58008380,3905892072,2271141674,3897775838,58064811,2311560169],250,[3271878942,1360304313,2329353448,1965833223,2447922009,168266472,3909318080,2336475004,604473887,1006744287,2987750473,1951349762,1006940687,2986964050,1950432264,3344230659,2951238235,591146221,3504866165,3737970894,753770984,3221930634,1038680949,3001569479,2321111294,3923627473,2850553987,1007127294,1963242114,3466979417,28476732,1329352052,1228677236,1810380660,1743274477,1676169453,1609060589,1541948909,1474842349,145900781,2028481771,3981240526,3980978261,3980716116,3980453968,3980191829,3942822484,3462260753,1122841064,1307389416,3897237682,602459727,535314925,2320651245,1965243399,3460163587,182335976,3909318080,3738027696,2320192180,3458853072,3320382324,3733413574,2680326742,2253440134,2632471492,3909317886,2321204885,3439934662,3909317599,3109275267,3640852526,11548552,4254198107,1975519827,87465994,57934116,3892528873,359988843,82386569,1929556051,4252100867,1357504717,52750534,834294619,2295988992,2331544071,3911092696,117594884,1526728646,65796547,2680173069,4255115344,2656627149,343167135,741083018,209043466,3905787624,1481829482,1352661406,3224522911,1424490930,3911093247,3258628,2656622851,2149892122,916586764,2677954565,2730498640,126485743,58310666,1476450537,3892540574,3224562519,3925748968,1122551557,1273679357,2999797480,58063232,1946515944,3960530968,2991602732,3892737426,3959016751,3959482376,2998929985,2320539394,2718966978,2656568418,3237892255,838885282,4275955904,2337513048,2315577630,2149866247,350815093,1676170205,73572577,57982986,2332326376,2298697758,2332492830,1392521246,82386571,167823080,3909319104,1307115542,73572549,57982986,1527030504,1654833202,4274579716,190555,2699618283,1979464704,437119235,535423949,807308229,3904899584,1189675011,3897597696,4231790723,921240437,3449706522,3305171436,616799832,73638432,58039896,3905221097,1671490167,73703940,838904808,4243712192,2306869190,3892635934,3221880907,3989681016,2697253865,3221881956,686293876,3341281284,512312131,1525154648,2730504938,1139279158,82813182,57982986,3922459113,3666331076,53419659,3661355655,485005426,2730504938,3957916982,2337428457,3120883998,3657629742,1532626826,1394505155,649744465,173101635,1498989504,4034513150,1532609371,742131594,3840472949,126505419,58008380,3905673960,2271140822,3126023902,4182917934,683271167,81764417,916504555,2025851397,1093188044,3751854130,850324228,2330495680,4231129285,2684356550,3321758943,4017341738,916635698,3918915589,3153547,509515,1539562473,2663679576,2672906835,2253440134,3911093188,3892752388,3821862917,2680417257,2253440134,3666301636,50343611,2265418458,154950362,3404268403,3297138688,3733413534,3840498518,1381192186,82386571,3471313072,3924086271,1532674996,820560729,3926190283,3925927972,512447272,3142780137,512294912,1583023337,3898007175,2320685842,1965833223,3406424075,1543228904,126533682,3555217567,2656578025,1457424222,3280621727,58048522,1405888233,2279737320,2656590298,678711455,1021843176,2282976259,3388883719,2656627829,512318297,3914401001,2656625203,3022475,54992521,3272010075,1946118888,3274762499,3855472107,1392513768,48759221,851663616,1124567232,4185247230,3911093187,3389956,1489230339,3281962118,1979385832,3271223555,57871024,3455718121,3270437350,1979380712,3269912835,57871536,3455713001,3269126631,1979375592,3268602115,57872048,3455707881,3267815912,1978335208,3391088899,1206435890,3913462524,591184626,753446261,3909413082,1405258284,1543176424,3116566410,844180972,4230277568,3117817576,549066395,2317055276,3105352662,3897627800,1374224332,521922802,294304082,4035625010,1364250762,4272285779,1810432883,1965046978,4274454022,1022260686,2316530978,1019382504,1975880236,2331347465,4269926613,4156248946,2332013825,1019644616,1958840866,1393376302,1012619636,2317645066,1019382472,1958840876,9037827,4267042899,1009152603,2316072205,1948269762,2955688981,168784909,973829312,974025926,3892999362,3897753699,1935408687,574378930,540804212,552084853,1008759550,1022850080,1008235564,3439621389,2333111521,2315577630,3893539016,3805150685,1539425257,3137341382,3263824374,125050924,1726480565,3905117152,1352652087,1489578728,1934663582,600107011,57843288,1529070824,1958742723,1124567291,4101361150,3905284953,1621229638,1958804992,3248417027,45240659,1543161576,855391208,6333120,3908836073,3221880870,3237873524,2112422773,2731081409,1364394080,28491826,1543151336,855387880,6333120,4207733083,1392030952,3367626827,2953016666,3897737985,3895256966,1263665195,1976084200,844781829,1944634304,417869031,3666303232,512350467,3666282244,3364481099,636027764,4289747649,3498567875,3692161107,3285878618,2332887993,2264936478,1478396890,1977236227,398181121,46369378,2329447105,2315261127,2901576696,841925930,1991987207,46369377,2329447109,2315261127,841898232,2344681991,4265782010,2969728457,1976434187,3943544252,218872248,3153547,512481927,3661300568,1992011636,46369377,2329447109,2315261127,2901576696,841924906,398151687,46369378,2329447105,2315261127,841898232,2344944135,4265782010,2969728457,1976434187,3943544253,512447417,3347709998,4267426594,3271652544,1688227999,1958742532,3371559171,2328075864,1967143943,3350063107,2315255993,1020365557,2317317354,2630827015,2565342069,3865897159,3615418408,3865372754,3614894124,702963176,2337512793,1946500382,47875,3520660383,3604061918,87891593,87498377,512478091,57935163,50331835,991857114,958302469,1541048069,3955241667,1342418946,1493148904,1392520936,1929586920,41936902,1526879720,3341936835,1409256680,3137541352,175374335,3892472040,3632923163,132645047,2965592861,2320650499,216550352,3893064903,1009575390,3892540460,3263878910,46262355,820577139,1499093960,2345070569,2315597598,2327915203,449284824,1945668293,717238981,450398915,2328046279,2344876536,2315598110,2327980739,449284824,3958934214,512447454,3666281785,87629449,4041786203,2337362943,1577400094,2304171655,1493514014,3806905179,3897709054,3907708266,1994981101,1952013055,3848071251,3847809068,3909317954,1340604512,3897771749,3253207645,39315711,1946131688,4289325059,1927828291,3892540415,1396965295,1510055144,3897643609,1397752027,1776867975,3898104578,4175954135,1230657792,3238708618,3277579125,3897774673,512426053,512296253,512427319,512296251,1515914553,2337522521,1392851230,3906635602,2304507866,2265266462,4291881178,958302555,924748549,3414905093,1543487976,87498377,3085486987,3452132351,30402744,3909039080,250085833,3892540415,1397948200,2281628904,1240579034,96142195,3733413450,1943681878,4246636820,512318214,3585804023,4179528009,3956967174,3733413398,4179528022,1238743814,116858505,512350855,1515915005,4213082451,13887494,99111514,3913373952,3330933280,3637559306,3263885450,3498760400,4078865347,116760582,4078864835,116761094,4078865347,16482566,2164879904,2300575979,3272012574,542163841,116596361,4078865347,16482566,2164879904,2300555499,3272012574,536920961,116596361,2327939779,3523237134,2315711758,3271652040,116590335,2327939779,3523237134,2315711750,3271652040,116592383,3217460419,3348019200,116596363,2315749926,570881302,1427016386,1927991808,3957903876,3284569848,12568204,2345111224,2332488478,116760809,572969206,4128147975,4111344134,650185222,3448440712,2344863374,2682966505,45210251,3540247251,3805480113,2164552606,2300575938,2332488470,4140468949,16798982,128980084,2159069218,4121094354,3540234502,4078305770,61915910,3372402722,3906126000,2970023330,32166658,3272012566,3338684576,1678064390,1946565632,1008497426,3323490820,33576198,87885511,3334668448,16798982,87885511,3334668608,21766,1929657539,1426519567,208929024,3640000804,4161205922,3311266243,1437664036,4137869814,2697197574,3221880917,3976915828,2159748984,17204226,3137565696,3409641792,1258517151,4127902603,4202761336,74580168,3271608250,3526607774,2680763331,3331123435,2394423487,198413255,2339140818,637989662,4120915850,4141910534,1427016400,4129196544,2330468870,184230652,1081363183,3436366034,512487283,2284193523,4077322031,4112943110,3519712006,4142518761,16798982,3800106613,116064259,516737,2883840465,116826364,116604555,1049209587,2615871219,116596363,2284816422,2382820646,2145960902,4246078462,4212538118,722039302,1040644886,116987647,4145479486,3286491654,3483625555,3897803611,3277527335,48,0,0,0,0,0,263454720,1218580685,1009300480,3020780034,1963408464,185383175,6819465,2696840,2312867066,503533598,2382364858,270436826,1295301381,7085705,2304197819,2348838942,2348838414,520122894,3137352424,12124696,3116469760,2351300730,637534863,1284769735,3758408579,2396753137,3779651779,3439441147,108521495,3897334715,1676226271,1290649138,3104199611,4233297930,126397486,1975519811,3280165878,3287277584,788479695,1422591744,1226859880,1344294210,1869836901,543973742,1886220099,1919251573,1935753760,234840937,1936876886,544108393,808333635,1866670128,1769109872,544499815,541934153,1886547779,943272224,917297,1093481778,942502512,1397312561,1375739988,872021,1145130828,1095958562,2245974,1414418243,573308941,827609164,860730,1313821268,1381236749,222709327,1497713408,1129512992,1313162578,808202272,864300,1377718428,2382364858,270438106,171632645,6952584,378063614,525992030,1456446808,167796384,2685498816,3221880938,28576373,11540173,3372089972,1587594078,1958742528,2730504712,61866078,2690078403,3221880938,11826293,3221886669,1583285108,4236268483,2147840571,1014121980,3022475,1977289539,1312078611,976100017,1124889639,3388915966,3224564853,852749147,2346766564,2676698840,512295171,251527275,3905945706,244072708,3773497453,751076944,4128289595,106150883,133617667,3430177023,7020169,7151244,6950654,4266855659,2718397896,548405354,3307123435,2315283230,117382919,3221880939,2692285044,3414950324,7216778,41148218,646499582,2133065834,1599834741,4282050910,539897886,589439250,639968279,421015858,337580816,756100886,1364405269,1315749462,788270769,1960852140,3388884489,3224564853,2888696555,3277543774,508037959,474815819,169615184,41092724,307364214,240090963,209126773,471670303,168496141,1381061532,1946631248,1963801677,1862727178,57999104,3892349928,74711596,963968828,578030652,3108931515,4265803784,773617865,4134864698,3649823184,1364126137,3786932014,1444842287,250135296,3893291780,250085438,3775784960,619185131,1499093001,1354997083,4800138,5119626,3019899321,1477496073,1911051203,4293388288,3897803611,146014312,3277525197,2332029928,3284962024,5643915,5643913,1307071388,3281869568,4261435296,2320548808,704653582,4261435150,2315302337,2315274558,2952810270,3439965216,1444317968,4277306880,3033202382,1477496066,367547331,1228835328,1327401472,688818688,2952836352,3439965216,1380997904,4068922251,3405696766,4800138,281871028,1405311066,2315301202,3908274927,112459803,267063501,11620947,4153076618,3019901672,3893415175,1532624924,1173699,2692746,3472804606,28364286,5193354,4825283,1252000747,17229824,646586485,4236247112,1377268743,2148008122,41026300,3828541136,2384388855,72262618,2630048287,3125826131,11796480,3304462285],251,[4128142624,225772740,1946273014,3944264205,3944460806,3910775298,1347991486,91557180,3471313584,1532647679,2470232989,2503762036,3711714932,3823650420,1958742734,1019805240,3123868426,3807772688,3263287434,3897689683,3895254434,3897804497,260757580,1913649536,1125101826,1599813515,4227904851,763929843,1526756840,3219253699,49020848,104464560,1906442353,3892540416,2431123550,3193160638,179897939,1455816192,149440176,3716829659,2884108471,3894456340,1582947067,2902217046,91537418,3942650856,3893211381,1582947047,4262512259,1540257225,1012318443,2952951053,3671189531,2689647454,121372744,71042164,3224502899,3277373450,3064843603,2315301400,3019917630,2685455618,3221880945,512365429,243925071,11862057,281872820,1543376360,3892818883,158728128,167791776,3003282880,106151536,698353077,2955426816,3036836913,2320715786,3892334110,1448804407,4233168561,2629831340,839021910,2484416,24485214,3388889422,384362613,3330498048,3237894160,41040444,3455987888,2951268213,851663869,3221902272,548406901,5185162,41225532,3109100464,162791425,3271430349,281871028,2328058713,3036694798,1210485248,29685248,3447718772,83656832,3321760114,1913060480,1371930114,208940092,1506632168,3897682058,1081392476,752627176,359935036,181226984,2952950976,3850393984,1374161411,1958559720,3692095523,1949056044,3442534412,1372097113,1958554600,3690784783,3441485868,3948540042,3193301254,2331085401,2315266342,176104645,839546048,181799634,3957749201,687636507,4269804660,2161799940,208798969,4269855723,2161013512,3379759353,3221934474,1048584308,1946615880,1007071580,1951446018,4264080426,1976106697,2160457388,3388874101,45160939,1948843136,2160457225,3254652276,3388869099,1971373558,2294939138,2701142310,243793992,378077256,3241803849,129505908,4956928,1302578310,1327925248,4265273344,1336017780,7268352,3019917984,3272658181,2688570,646591604,1346109512,675022708,2565407604,133988541,1353712757,4102036715,133988354,3439198837,2728528,4728456,4785863,770179072,1405310976,3002915560,691961895,41166848,414601138,5193354,2315255993,3439768769,47632,4800138,281871028,3109228523,243859456,1218445385,3439375360,3720210448,3908944360,2649290634,3905117180,1534393764,1371406513,1212055552,58000896,2327647977,3897644588,1081392084,125054012,1506527720,1498540170,4186592081,4286635402,2148037888,57805051,3020999552,1527827723,1958456296,3148212227,747134553,4266002548,83460289,113687922,3271557199,4290993753,4278209846,1006652214,3893392428,540855166,2321094771,1978159560,3895227579,1009572422,3893589036,272419686,2632516466,3901381052,3143297105,736629108,1340615898,1930443979,2321177065,1498501840,2163313242,243863526,3314155595,270852304,3850420746,3504721927,3504722149,281147109,3447718772,1408109184,12048522,1302466340,1311672320,1328449536,3440096256,4290992912,1006655030,3894441004,3221932794,440163188,646600563,3825860721,423363700,2321173363,3790099152,3900404922,1009572274,3893916716,3221932754,646591348,3761897513,2321165170,3253228272,4284183738,3892340790,1009572238,3893982252,3221932718,41222320,173613232,2716357096,3945624762,3151358211,752446952,1019908584,1509061408,169928064,1372097256,1958380520,3646220303,3396921388,3648200764,1372097113,3850391897,1745783055,28596480,2304381133,2248168982,4274978546,1049252810,45350985,3277525197,3942690896,548425731,1347637660,1492794856,1745783643,1913058816,41221888,3892970677,281870772,3277364569,0,4294967295,4294967295,4294967295,3387464784,1397454075,3331084881,2382364863,922691271,4280680572,637566518,8128199,2351322360,2382396942,42053830,3003150854,1228835459,112896,281872820,12568204,650612224,8259215,2080804646,1522961920,1486707545,3116230851,3909113504,3035166322,6678713,1450569226,3909806602,646598772,3795451945,4185933938,2688774938,3221880945,4185916788,1396142873,3472814474,1049283326,45350985,146018509,1348145357,1018787816,2953081900,3892833024,3895253058,3897608550,1479137338,1951973386,3921971714,2431251986,387258,702031336,3626035395,3375556648,3625510994,3375032364,954778457,1955937465,3624462344,3955241693,3106531333,883097520,882950912,1958742528,3374049328,695405116,448419411,3828503126,4035698897,498401070,1532937046,1062614211,1280722518,1918266198,2153150550,2421590102,3123046742,2315269563,509447,2348130281,3909105438,966790854,4119652608,281871540,1961101904,975079692,1009682432,1058441472,3297400832,3505834238,2348119017,3909106206,1017122458,4116769024,4261428896,4116244928,4261428640,4115720640,4261429408,4115196352,4261429152,4114672064,180913384,1007842496,3025433348,1102795520,2329412352,669604615,28988405,16890114,4194308027,254078190,4192322362,3274836963,4266713482,3956814535,1962871532,3151464986,79233089,3572914176,3906003458,663224947,4277658179,4226315722,4300891,3925139945,552122719,1955937464,3606112264,3955241693,3088181253,1168310192,1168163584,1958742528,3355699422,3614639164,242483624,3372093620,1085538932,3909144808,3142841516,3221880902,2319647092,509447,4103792987,1448431772,12197463,2396687872,2701463582,3288989798,251595124,57999462,2684364776,3221880884,921174900,4562944,57982986,520120808,1482514015,113692573,2701131877,3221946470,4199684212,6620918,3121051135,619446369,113766140,102,1405311739,78926417,173019341,2299294948,2281716254,2298493998,1476411158,838874784,169440452,908495076,2299622400,2281715486,2298493230,2952805654,3515135,3277543770,4635475,1962950528,3893408775,126353425,4161603,1085540213,2281702632,1388534535,3959554490,3372139554,1522829976,649411,3120944056,3948019716,1712753464,1962019328,1694942727,4058775296,3336497347,1915091587,3219673618,1911041237,189946314,1510438354,3925818345,3504912403,1227519,4147436728,1694955249,141950720,4438608,1492039344,3992994490,1978582154,6404615,3993177324,1712752986,1694942720,180551680,1497451866,420501776,1494243674,1494243600,1499082000,1297757200,1158699329,1494243674,1494243600,1494243600,1666866448,1497451866,1499102224,1494243600,1494243600,2853198096,1851437402,2869975387,1499197531,1813010704,1980782940,571496796,2619504066,512316240,394790121,3324887939,1128464391,3326291848,2286092295,130433807,2639813376,2929256899,2160286552,41255162,1489175218,1503577222,1522752346,2210617691,126496451,2344866038,2198137118,2344823747,2198137118,2344825539,2315577630,3271569287,3327219542,2768584454,3204772030,146343232,3802463232,1583307261,3142669251,145818944,1965047680,3388883725,1556018805,88653573,1421742315,88129285,2801535153,3388876661,92993909,158598202,427147274,1963001078,2332330516,2282023198,3137352071,250108404,3955241472,1509866247,4177528040,1405311833,3022475,1960512323,3150142210,1129514323,126486705,1140119016,4134914558,3420991152,3280165876,4131696649,393535751,133583024,2953868576,2148005442,1102055797,1967130614,1531817986,787785192,172165002,3287643584,1970226720,4281230446,1394606093,1886415211,4281230437,12124173,1376684032,3907694597,3823763133,89308158,130418570,1975519744,4081510405,3806969866,1376684286,3953387781,2331953384,2969577774,3907891200,3085565585,2253412606,4098156740,5705354,512477694,2408056041,2867396658,3297138942,2331527657,2969592366,4271106048,1659399600,4272941310,2281726880,4269861127,3297136728,3909092328,1793654401,6536181,259263804,3897755646,945553045,2953277959,3337087757,126484487,2298379496,2253964039,6464196,6398147,57982986,2158815465,41286626,1369571762,2730556933,3398042960,2155929984,452264425,2162262217,1947255542,550076419,167796896,2969728192,1976109569,1594291721,41221888,243810481,4290053448,3538446512,3894905597,3304521262,4128011521,58032577,2952802280,3894406143,820510771,2348315390,4127516958,2164273543,300419701,3322245889,348166,1638007216,4259833856,3909158854,1069284794,1161477,365757364,89373635,1392513465,365757108,48825203,1587567361,1975519744,2772402182,3921929845,1637919785,1958804992,2730504715,1621229665,3855476992,82386571,3246070,3907679617,535298107,1407380225,939549115,2332914983,4127516958,2164273543,3271652699,3031165417,4293126399,3297136728,3909092328,652803405,4261906432,3893064897,260635997,4250396867,1404768138,4261459205,260587977,365757364,3338487016,3905093895,260767037,1404764341,3285779205,2666004916,256255,2700940521,19662160,3150119283,126485841,167774150,3271652544,1929382632,1342621191,3221880837,4291029187,3254650762,2298281192,4243580943,57937722,2160312330,3715432511,190544,1404814168,16824581,365757108,1403000178,4241221637,3471312776,17286908,1962526974,2160326657,91555068,1877547186,2871388587,738545824,3921680897,243796115,1525220689,1594279657,2303918080,2332380446,2298695702,2332379926,721880078,1225689547,3897708805,1499135652,6332507,1946599434,3032649218,118869251,3120597480,12124165,4252322048,3908728138,3200450678,2357921107,1621098506,2629831168,1343059281,55988563,3860261081,1482381662,74776892,957579,1958742534,211061518,1959329280,1343654660,3032649219,118869250,2639860338,512428917,3640852528,1478396227,3850430723,3490048080,83656792,414319989,3920279017,3897272939,91599347,3942671520,3253266435,74825738,48955824,1688338608,3454044672,3687695125,4160875513,2342318987,2315560206,2730570435,3347711143,3716867122,1939734322,767755015,48955649,3825910571,2151484792,2333438464,46433246,85417449,192479360,3296976523,501213442,2717941765,2780497062,2148499460,4281523851,3279997824,54068934,3653691520,3906636627,82314986,1579059653,3894456580,3898330907,393523552,684732904,1389996008,742131594,1290274165,3908168625,2301218846,235092766,1348331960,55588607,73283327,991857611,3897803523,1815872782,1279003252,1899759220,1362887284,640074587,640034342,640034342,640034342,640034342,640034342,623257126,606348581,589505316,572662306,539042081,522133536,505290527,488447262,471604253,437984027,421075482,404232473,387389208,370546199,353703190,320082964,303239955,286331410,269488145,252645136,219024910,202181901,185273356,168430091,151587082,117966856,101058311,84215302,67372037,50529027,16908802,257,4294901760,4278124287,4261281277,4227661052,4210752507,4193909498,4177066233,4160223223,4126602998,4109694453,4092851444,4076008179,4059165169,4025544944,4008636399,3991793390,3974950125,3958107115,3924486890,3907578345,3890735080,3873892071,3840271845,3823428836,3806520291,3789677026,3341017313,3353144659,1551237721,485102676,1939015176,606378345,3497527594,2905456579,1649085524,3963394010,4208857092,659275216,966071078,2971577669,1140659791,3467848779,352131585,1113585502,2587630882,3539465525,13312074,2276848259,3766428541,1959901073,1486759710,302392694,4005964358,2525474515,1966878071,3189034308,2458595610,1838809237,4146934849,3372253370,3665573745,497045620,286997271,3842532498,2506243644,508198326,492716396,2465107602,2763343123,2007642678,1306675256,2509553348,2964147046,494729018,1557745424,618411273,3020902964,773014091,1351177569,3167488367,615274764,3959360459,3990248495,3875458749,3030802267,1885290806,1640981257,3430355332,2051237419,3214202341],252,[1818913110,935134639,1199926534,3316401947,426143783,3071760610,1340109649,309237645,2748872451,3607772528,3436018211,3435973836,32076,0,33024,0,33824,0,34632,0,35450,1073741824,36380,1342177280,37187,603979776,38004,2524971008,38936,3156213760,39742,1797783552,40558,49872896,41493,1136082944,42298,3567587328,43112,2229742080,44049,3860919424,44853,1604923808,45667,466206468,46606,2730241733,1073789233,191576694,3892362334,3340960905,1644216330,2028717484,2055258925,3609638679,2895169112,2256024174,1471531527,1746288394,3986869545,3256602316,344313939,1498505536,430363652,1873131920,537974565,3415156724,2483739214,1060731128,3104628225,2399655734,1733288225,4073311492,2166613065,1870413893,1891035004,3316492331,1290070813,924389942,3759992389,2229229251,1813180790,319526458,118945050,2546891721,1222441024,3183614651,227146608,1989759157,65302,0,82935808,2583986229,612571639,1971536739,2844036557,75662207,2164260864,2202906850,2198958602,2134181108,2150724120,625304878,1682186531,2147495980,2373887174,2051014659,5960464,1316134912,2328,3906250000,3892314112,1525878,199491584,596,1000000000,0,390625,2524971008,152,256000000,0,2685354560,655360390,3894874112,167797763,256,4287660032,4294967295,4294934527,4294967295,1006632959,125909162,1952024700,1999017952,2048794052,2086883422,2121661978,2150724120,2164260864,517470981,2569430406,590633095,2774393223,1225776006,3017212547,33117,1644462464,1350468405,2038320164,8366761,193003520,2205044292,4252902137,2663580483,294,858927408,926299444,1111570744,1178944579,3148495802,1927840056,78028810,175278140,77932160,3913774208,1748768973,2778747506,2042628612,2726241289,3954902181,922702690,922682531,1189610661,2162330128,460620228,3907269200,1532498388,2531807322,1645722372,1527938024,3666530867,2198479081,3828483268,78063240,3121738217,12255232,99281281,855942079,3349937344,3280011269,3450608361,2771812537,914391044,3917481137,3133997962,1525275015,2277231876,71821785,870890701,85715225,2984892807,2310917381,3909395230,3201108075,3498809426,1510534888,2277494211,163047897,3649552589,2165173737,1971323131,3905015059,3526559955,3901784251,1273496581,138799386,55827447,1476686042,3439434217,146139330,2738290522,2771844868,145352708,3941161563,1388546819,1918561015,3923282693,3284992374,143779923,2738290522,2771844868,142993412,1391024731,1977289481,2805368844,4211525124,770245634,2736687377,47108,2449778083,58310667,201326522,3339090395,4278494470,2738812927,3923282692,3649503530,2266552296,3897803737,2203785797,2344813763,2332336918,3271861518,434656156,3280165658,3905133828,512343723,1743324323,3198281738,77799049,3440010729,2333576132,3909091999,4284351309,4278494006,4278494518,2277887462,413198553,3905149319,57939812,3282277353,3454589575,3049271808,3150368152,3364488358,11874184,3492776003,1942474192,18933763,3649758602,3893375977,861142674,2736687579,2306979588,3322193182,67304198,1528038632,50005702,3247162116,1939006199,3576031491,78363587,3915691962,2881159174,1689893380,77838930,1914107880,77576707,852331203,2265508845,50045146,4241001368,4220252811,3599475955,3905150859,4052469814,738065291,2767405514,3482049163,2630089793,3905133897,58005180,3450006505,3909318856,2745243267,1958742788,2030153734,3288313858,3674980403,1539568501,3633027267,50005702,2736687362,113689348,3271820027,3925853416,3385720807,3051969115,103147523,199842395,309516,2633992425,2638419850,1127713436,2638417803,3281863580,120109907,1528170216,1361491641,855619048,2731199936,3032154929,537380356,3326281482,1793667079,2697710859,166397093,3857239245,4127749143,450941136,3275584704,914410957,864027815,2346579675,2344754115,449022672,3284699841,2014708712,3905867258,58201551,3893941737,3488094210,402450712,3257648011,124784244,3224504184,2026094846,3222993401,1977236419,3923456773,3263889446,77799049,113761035,1189,113706617,4294902949,12238859,3120789760,1056440319,3666543779,77799049,3778719171,38146420,2562784772,4114345987,3599495029,986855913,1963129606,1965832937,3498723045,2382772908,33846272,182250434,2551215296,9420689,1955702515,2330985222,2345200578,2344836054,1261341683,3203136516,780923787,3925607260,984416269,1175549153,4026767532,1005585325,2347726318,3545491934,50005562,742058357,2890327413,9307706,3221938037,2442661492,4076900287,74748326,3505123331,2345700269,3540380126,3273005288,168076705,2163569892,2147788086,11589581,2718211746,2996831402,1958742532,77963746,3631539210,78716555,77926016,2970517632,3431628804,2812464938,1931637764,4140008978,78095065,78003848,1877496144,2153273621,1601386745,568916051,78094357,3150131803,2864579742,309508,511245560,1124536749,1945756227,78035730,880019454,79252299,1260376320,3925533259,430772713,3796058887,4128928761,3103785367,1263206404,4209121271,4278191289,1124496647,1962467907,217377224,2685242857,2149844135,77932160,2768636031,512344836,378078373,2713912483,3825861797,914419828,176161957,2716824831,3825861797,3375620212,77805195,2315560866,1942956748,2262431245,2787019231,2480899588,3767195271,3030180658,180619904,2330211036,1959332860,435782470,2308772466,2315559734,621061926,3289022591,3271861666,1913190784,2330102300,854821590,149520603,1948239094,550273232,3430992875,3942900256,3687905294,3704675025,1964033270,2650006253,3425314169,4061913482,3273315979,796121226,78059254,3539457270,3305034742,1967268213,1975778846,50785050,1943540438,2785476108,3490280452,3504001499,287631836,3909921257,635964520,2980102931,78094852,4128024553,4278494726,116846708,1962869938,2971569125,4109625348,78716553,4161053883,3138626024,3908568240,922686362,1592263846,2785447701,4241668,1359539025,78298104,2333308904,149718012,3187863427,79234224,2784230656,3104078014,2864381956,2919036932,1128466201,276036066,2332034233,78299124,2342908924,82573542,4178101379,3892616891,3797488440,2768697014,158629892,77989631,132712821,77511436,3910344680,2498236465,2282190098,3909396254,4278848512,2062091125,4099401746,3526621835,4086038154,549052298,780883200,2778727587,3957819908,3620861957,1465308881,4028366123,1583285363,3296920811,3522557956,3805532626,2044398564,2785476106,1560835332,3507201513,2329137618,2329316066,1574931187,319819241,1364677625,3897569324,2555908688,512433785,4219536547,426970317,3822177163,3640910801,3624133585,512297848,1223361699,3943199312,619204659,3340036866,293894,2114373412,3147068420,2213020798,3893786899,4284092988,4278494006,3892618550,1515913867,3959278824,31975443,3893502952,3898217198,3672638071,4243515393,3277545305,3224558029,3439331817,3321999578,134413062,78120646,632602113,2348757846,4160195535,2263371985,3221903377,113640821,2315387643,1965440007,2953308419,1956392252,1948990469,4226304769,3892737016,4125753149,1638120959,4069249587,8796718,2164945920,1952554237,4025044260,2632811007,786813281,1781573375,1784638027,1785162335,1785948781,1782606400,2632499250,4319232,1090530793,1374222197,1370454289,1223186259,1499160321,3909067753,3782538124,3909082089,199819485,12380160,838862313,11987136,3893196189,568857389,1392867857,1527967208,2046168003,735770370,1951101143,2198370376,494020602,1376402921,1512489603,3125941113,3125963440,317415170,650281818,2027616899,244005,3263292115,3666305074,282781778,3152545906,25552913,91818731,13232211,285599835,2330575707,1048616720,1963459323,149528068,1465097728,1593859304,2348168027,4161071318,758911858,3606512757,725353963,3905094004,24311794,3438969283,3120919052,4025188351,702544,2153439991,4130484458,3756773379,1402732812,5171287,4130560863,1290327691,91594239,911443,3905110875,4185395288,1956409321,273606705,58021499,3449584617,3892672975,1223360575,4221699248,2770242050,2803795972,2736163588,2720434692,1087143940,3917532032,501747157,1965388560,2622155011,58314957,2952793832,50045448,2678308915,77701892,2337690307,3892618006,1516109955,267577539,512427385,3452109987,3909318097,2795543576,1922055172,3909317681,2778766342,2025851396,2617043203,3137339578,2330492928,114026747,3121729000,2159738880,283961488,3756589940,2147531675,2778738155,2629831172,2133067129,3120866722,12255232,4217890944,1006937760,2634446224,3085556600,115861659,2040388235,2312894210,3322192670,33749766,853226435,78102244,4294935750,312976,91869707,80141047,2329840256,3336014578,67304198,3439873001,78029014,175423498,168080032,3909383616,2344816376,3892621598,922743002,512296102,1458046129,2750450449,2025522342,78816004,2332339133,1958742784,48940,9162635,2337481719,2178876382,50632643,1107391239,24363267,2332526914,4286798794,1191474182,2346445639,2679854017,1526761732,1946615427,3947251204,77446846,506365,3787459244,2147841275,537173518,168076704,2785447872,3138353156,79234206,1125634304,3925533251,117312537,4151641254,3892829673,74714739,58064650,3893256425,244052026,3979478181,2315559841,1381061629,3807858769,4149791371,1942488035,3666559489,3807860826,24365059,1524237122,65205848,3507319768,4275687899,1963238918,126937347,158990090,77989630,2213087093,3520188679,2329250515,2329905907,200075745,145773507,296747634,3364546698,1223203921,1958742530,2634840322,192630873,2035814404,2634672922,69659481,259610631,200730704,48269912,35028705,34401256,986054341,1912845800,4276652556,3942822085,3049587204,4274585091,2622512072,1307101490,805815808,3896705397,2152399080,4201918527,1949187968,1486701313,1352412020,3020799976,3020061509,1126664260,130456920,3322247467,3640012039,3304992692,4201843244,2252552708,1124567492,509507,3032209799,3456025348,512300665,130417490,130433838,1975909936,3375580152,3455982315,130419829,1377732910,3375579907,3388869355,130418293,61948716,75566729,3171267779,3655885301,2525703935,1162149888,77805195,3237883824,4201902635,126415363,2738260291,1976368644,4290177245,3271559110,3187868089,116064262,3187934393,3015639044,1958476804,2736163682,3330954756,3771982898,3610173574,2330121130,4000665293,3137340870,4267246771,809468105,3796042613,3924345848,1366784780,77577811,3104091071,4093378564,58058917,78756691,1527643624,3204754366,79234207,2784230400,3471311732,2785970700,3102310404,3908622838,1499136858,2959189694,4281264137,1345302608,1354825304,1929417960,10742007,1966750808,822593033,805815875,126354155,3372111939,3193034613,2747204767,178436,1504048124,1364404715,3893303528,1532625777,1947048424,2770241803,2736163076,208922628,3001549232,2770241795,2736163076,2958776580,1642904067,1358874600,1592283731,800087309,3237894224,236447824,53409651,771752086,171538,3896853829,2270694712,126376917,3372111939,1111674485,78965387,1375646697,506198,4161052607,413937404,4192356101,1371756894,3204450233,4244112543,84978734,1509548615,860967875,45832191,78028894,3221935918,2556371828,2337798187,3521368536,2179191267,3898618563,91425724,3943429864,211347673,3959186152,1617345489,3893129704,108203286],253,[1594609640,2582140751,3138286091,2011717754,4232177676,3943246936,1532581889,3150168074,797574324,646586545,3304457347,973960224,1965732329,80016903,3918135925,3219656584,3174200562,976118181,1946157190,2633859337,1294365793,3984716011,3855704476,1638334254,1970304368,2037414256,2037414256,2037413232,1013988464,130435952,2200341040,281343492,3326805108,3304465415,1258648836,3979489160,3955231427,805815814,1976106563,2313733112,805816061,1976106563,3032204277,537380356,180480083,175742043,1395460038,1527573736,3326279948,3281858567,3723024589,1124627967,3137341382,3905094836,309922504,856096953,75736000,75566729,3925696232,2028601137,176285948,1625883513,3271652767,3489965728,113660136,3493856422,3137644054,166200491,309517,221767761,78321291,78454411,1526184936,4132169819,77991678,3792335961,3221510371,77989376,170912195,1462091455,3322194111,753402117,3909317898,125432118,175505162,168006633,3909318143,3674868237,4286588025,3909317273,1397923567,77805311,77936383,1526805736,190638170,1527463912,3909317722,2778767059,2042628612,1908653833,2726241367,1381172389,2625620864,77936383,77805311,1510016232,187492443,1397890677,3137339578,535334912,2035964683,1532665103,3120577769,12255232,4145211777,1393457565,19916882,3320365706,3495647746,2735116248,2768670468,645963524,2659124389,2965308531,1381193597,1510020584,4211337307,1408271849,16771154,78780041,77792967,113704960,2164262053,78786257,1532626803,3739767379,2986801146,1962934020,3898300949,2380794913,4207667210,384326490,176351244,1532679915,2785970883,3102310404,3656792435,77904796,100234,231304,211599370,25659520,42452480,2627581952,585630585,3907858944,2040332306,2549763,77465286,57908480,3271671273,3908588369,1499138426,1405351650,2198118331,74645807,4159390531,3142828891,134087839,3947037557,2328058873,2147788302,1098094825,2342312438,2332336918,168076574,512269531,113640615,2157446310,2627567819,3934455417,14385153,3372936498,3956278900,4209171153,91856797,4261573954,91463107,2850677810,175742465,3556168439,2147598979,2982346963,2785946264,2867591172,2114479848,47697,3900768443,158665150,77797001,77928073,78028995,1352171564,77989574,186378368,3898701499,1532625432,3893039336,2277181820,34269281,2447924058,4276640501,4175030282,451435354,2150743028,3916568762,4108974493,2489117084,1356891807,48955824,1436729394,3297138692,47774,72556169,3924296564,991857091,2477582339,3817592693,72562315,3447011129,44534354,2203209728,2281047235,2021720063,178497,3220409340,2784167075,4132656731,4278473990,1455296373,82805508,4076864185,1958752933,4031506435,77839967,4227859129,2338235891,42765076,80118528,4031375446,3280152555,1125092100,344677955,72681206,2332456447,3942929942,1892745988,1377077557,1128470411,2783466328,710499313,4045400261,378080116,3515547694,2095698823,2313391002,2332247326,2147695390,158673983,3902465768,2481585986,2594761107,1465275217,3141055058,2780759198,78036484,3109231083,3522691076,3796058903,133585914,4264129856,4264195084,4129715402,561577733,746643573,2149217800,360057066,3104089278,4093444103,2653323428,3203080196,3944746880,1583307474,58087771,3909383401,1049233088,62456998,2027620864,2148693292,494012655,4069187210,3833648266,1961550368,3570464784,3553678033,1967178998,1976565255,110881240,3944795264,2789116148,75032836,190547,770229083,67812096,3897756907,3277520898,3137347560,1048577123,2013332648,3323098375,33859590,2964292072,2945050637,2229799600,184337327,1644412671,116787828,2038432935,1644936707,1913027560,77577992,3942646969,80118537,3104089023,2771255298,3905158370,3897755917,3068659585,99113975,3915078144,2318333869,4142438407,776163336,2745370507,46367492,2735180590,3280143525,1499092994,1360819272,2270384210,4152617177,2335069019,2676698647,3941072898,3280165873,3286166276,1944637523,17426691,3898651323,803735254,1527345671,1274749928,3273983942,3037066216,3036836624,96331783,82314100,1064852474,3305296010,75630122,3640001913,855294696,11659465,75577087,4175095890,2164690778,2167865092,180367876,3892737218,971569843,2164690936,2167865092,75603972,2315416297,75604176,41205770,4035627262,3364536834,3224503416,293193866,1397903696,1527097832,4267202906,2331080896,717392609,2042954433,75669527,3338296040,843263495,717238985,3905235650,384563787,1376027296,75577087,3257582890,58245378,3908712168,922681383,1374160001,75669752,75564687,1515765770,512427893,1743323986,4274127361,3892541640,1542060559,46500353,4274072258,753437376,83656451,2697497091,1076102275,3364487797,83814595,41027508,3370651828,1962498820,3897578249,1532688651,1352459914,75568779,178058762,4261573842,2649883338,116787572,1963197571,718208514,1357286132,1323893624,1347441408,1476714984,4151690494,3892625384,1347946382,3523216313,78047460,3297382514,1622326168,1810421763,106293253,1857752811,2563017312,1407768579,100198405,293100376,3254671704,1347637329,1476697576,839052123,2698835684,3758228610,3221931262,116787572,1963197571,2328690178,1489580780,75577087,2184087632,4150192132,2128874072,3905194501,2740517183,3221881985,2320174197,1949187079,512312065,2639790930,3288470898,75638410,3825910826,116787572,1963197571,180420098,4132104384,1206507915,4141910528,62144708,3828482677,2298774435,2315550990,78953440,4129294278,57936068,1395328966,1526970088,130418809,3806876461,3326302981,3521654791,75735299,75566731,3018392440,6875645,4164675667,2281927771,130433839,78887680,1379830595,2165738243,75669508,4213957682,1131739179,540805002,708634228,28631668,3897578315,3828542186,4134808892,4067699516,4000588860,376778812,3939821635,3947565171,126372611,1961101912,46433272,173585387,1543206116,3273983942,2315551649,3490100684,2165738472,1393259268,4081444946,3915038770,3330997823,58197292,1391994600,1492507368,1975519824,3372108545,350750328,509688,75564687,3909048809,1836319467,2745240697,762628,2718213536,195100685,653733376,4169884267,1839254154,4158927458,33557286,2699309768,4146987021,40004390,786707144,1651381899,2318325507,308440862,2804320473,2726342660,378078374,512229387,78643213,3909286818,3015441336,2144516,1128466179,4263836386,3942648739,186026913,220105216,2965385984,78029440,78063240,1408995305,77511505,8390529,1929380793,4282598158,3792205063,2785476344,1495257348,116793460,1979647134,2670100485,2780560900,2315749892,603980455,2162458751,663281674,3296969563,4220053764,2162222208,477331652,309674652,1975778973,3687905555,77989630,3914861173,1973287786,4276256771,77839958,1178997897,78069386,2155864961,478732042,4052468574,2332341480,166220238,2148102658,3087312446,132845433,78003840,3892738456,3488088576,75938564,1493455336,76463953,3892610747,2260403253,73263108,3892444648,2260403378,70576132,3137469416,3320317076,2198041345,1474823403,74799364,3438002686,1978198411,3285027588,77932160,9431167,3138378682,4209541961,266058482,3900787131,2778852709,2013036548,180552051,604600768,77963903,1350414520,2684380392,1950090406,3686402419,2202647311,871549161,2139143122,3900695424,712508054,3900754816,686353705,276339713,2159792691,3978029184,2013338344,55633923,12309043,3976980607,3892541597,2780496706,180367876,58301447,3145742208,3202900532,108633594,2147788219,3150151735,4159201891,4043302913,3908157160,2766668717,33614071,3892560872,132705270,4038649859,2771845059,2738290436,4283885572,922704730,922682531,4192732325,4281133057,300505691,77963758,158973962,1467855039,2778890020,2180808708,968821874,3526580091,3900768443,2730159600,2131344176,2013389288,2067971898,2738290519,2771844868,3017259524,3900792251,1515973733,77805311,77936383,3137446888,837313097,4284111866,4278494006,3892618550,1515913616,3152915432,115958354,266058490,3917564347,2461723685,2147924746,3907791081,222081111,602407797,126496433,1975519811,2680144878,309508,4227858616,3099831283,2745368576,77964036,2812099,2745241209,1958742788,2030153760,3285775900,2795558093,1958742532,77963280,125091850,91816368,214161654,4221616897,4261952514,4274585288,4058563528,1393324799,3898698427,3991404750,868441066,2147531730,3287002344,3154106344,292708394,3454535915,1614461951,2884110194,4034258944,2771845059,2738290436,4211525124,2632452098,4017154048,115891034,79283185,1125634304,3287999043,3506439353,3796585247,2407580666,3793747970,2965095169,150568964,3109103218,2864381959,2317847044,2281701767,4158800647,126402610,149520473,1948312704,2854619353,4292012292,259311882,3085498449,2281069055,1963982850,3284132537,3204751294,3120301227,92995588,4270098853,3287802623,3104079039,116064258,3104078015,788267012,1135282059,2348343875,3276491743,3942951871,77578218,2881480171,309508,4093435527,3286140837,3143062353,2881422495,309508,1610607080,1371756891,2881181523,77577988,378137579,512296099,2344813733,2332336918,3271861534,1929301992,9038143,3280623443,77923890,3674881912,2778797688,1925393156,2704962882,3257599139,829766002,1609285682,103531403,728892581,3263898485,77792811,427106674,1206632498,2780780371,839355140,2030347526,2770766355,2028210692,167882758,2955733952,669776383,178513,2778783367,2042628612,4260857602,3792074151,3942691067,2953212685,3955231233,184528901,1599732160,2981872475,3210171140,92931237,41486130,3109139435,3303735300,3898736571,2548629234,3322639871,33749766,77792967,784564224,38443,43915822,166249216,2684909822,3221882021,2713915000,3221947555,3905098104,142147060,914412237,3279946917,1023714209,175472640,3897807821,3915115995,519569382,3150120099,870843513,77053696,3087009977,4093378560,75014827,3271862946,1929230312,4272089347,2676692875,3116564482,2783444996,3909317373,45743766,4270909696,2264925369,77577211,1929220072,4269861123,45735815,77840128,1944714119,309758,3892617151,57867636,3120457193,2747203586,4267501828,1929208808,4280150275,3909012969,79297880,3104011008,3210543106,905905317,4209135439,2881471317,309508,971510251,77578237,1929381049,77840134,1476395705,1195836815,3276864226,2046631912,3587031809,3035169650,4095470067,3136946176,3666739296,3532571278,1688387634,3146888452,2595880960,787647238,1124567212,1976434242,118406388,3153728205,3824615488,3274431372,4127195323,108392644,3771925681,2303449227,2332044318,3441617379,4137823408,12040961,842663878,49914560,2717910690,1705116779,2662916,2298678971,3137539102,512295802,512426978,2303393836,1258490398,118405971,3751937200,512316164,3751806176,46202372,3067120320,1524237056,512481927,394790112,1127712835,3104104352,3221880884,3666284148,3666336003,1128470409,4067805438,3640908423,3372110659,2332374690,2332352542,3390231,512350723,1130038500,3153545,54861449,616729178,2328922878,2328046274,449219288,1945668295,2909333763,3956474801,37537674,12256114,717392386,2329447107,2328304326,3909317624,512339274,3666281226,2891401,53419657,512353163,512426821,3666280496,732773864,1397443546,3850430555,3900693691,2565405567,3280988588,1954103840,1713402725,6645106,21,0,0,0,0,0],254,[808466229,540095792,1380994883,1112088622,959520845,3772264760,12181997,3649829952,3137339320,4281051733,4249856755,3414947723,1975792300,610460709,1962979520,16547869,3263824756,2162811562,242483452,4068925578,3631499260,113231,4207137003,1939789236,2068608334,2672326986,3973186993,1085292915,997318864,1923015730,2016703542,2670754354,3973186993,3838847346,4290258288,3633248767,3280919436,3515793804,3800814220,4119587979,125042315,125159219,199455736,4093736135,2699428016,2578482150,4239418342,3224003046,3993229498,3099246846,12119555,3151007472,381476864,20179424,78697845,1420822758,3375055846,3247102346,1085293030,1105478630,4219525130,3791942911,2327112689,3871943619,3862999105,574743619,3791942872,2963336180,2957239892,3863078418,2332012557,3120073432,12189704,3102666240,2330722561,3627805920,2062091124,3991028479,3748974838,31915952,1487929830,11537382,182847718,199639472,199639728,199639984,2382381240,1914604504,2394958592,735612608,610329855,2969830412,2346767116,4242574024,3841843882,1947149410,268483096,11591818,12173966,4093586304,12747178,1976368648,3860050159,3859329056,3859394593,2394958625,4243136,512351886,1048641650,305397874,3633199220,2386555068,3153628112,130482212,1128522422,3085438860,1710981124,4289859189,2315565800,3405687491,1053685365,3170506510,770301976,3909317886,817430205,3167784448,3341156608,3271559174,113714914,4026531850,3103795945,3224510464,1124532782,3221945058,1380012227,542725193,1128613955,1345462347,1414091329,1212358745,541803333,2394958641,113714880,4283695124,369542950,4210032640,568721584,3221889508,4289735541,568599014,561316100,571900,3087016127,3098272438,2209083392,4091675843,737928242,3808355017,1961102078,16890376,4194545128,838907124,3875451117,3859853345,2316742979,4131448513,74842052,3723229666,4289729201,11813094,568786608,1979696374,3925467852,28573750,3875516496,3860901921,1355765792,1084777188,431884404,965090,2158496491,666767476,965090,3439329464,65464336,3478713594,825242144,4243452,331226894,2144767,4289766899,917512678,11551718,1088831718,2382381240,58255576,1957362560,3862736934,3834679393,1979655264,302448150,113714688,3870425120,570869542,2968518656,2955011838,2992760524,1610660612,1979631848,1976237575,2416438263,3892380090,1625555678,279118004,1966089216,10021123,4236304518,4262032432,553418944,61866613,3454282320,3142604816,3099242496,268482819,4236247472,3138090032,3636115456,1073789187,2398013694,4241603,1048696974,305397874,3683519860,1962702568,16955910,1476559336,3439375440,1881192464,683278123,2884893696,4236267608,62569008,3669623668,721990659,3290623177,4192339061,3375043563,1959011052,3959022084,3523457288,3957618156,16955910,1476541928,281870516,2382381240,270961368,216301568,3841328304,3498774532,1659164811,548671268,363062518,1090224896,3224044148,329499395,1916698880,1947350016,67156813,989860025,2386982609,2210631387,3280015553,1397818368,4224903250,1952013146,2329578726,2982578920,3907572228,3330932798,937955108,2982513152,3907572228,3314155566,669519652,3806903808,3892315321,1256784464,4241408,378263694,3523936277,12185716,16482560,3152508688,2615873536,3139374622,3034047671,3439376142,549658384,825307187,808857907,2013510705,805468163,875770417,943142453,1128415545,3091612996,3633184832,1195648,3896079361,736297394,1642483120,1974139776,3872174114,3863785569,3804834657,1012983038,2316923904,3523523048,4288473320,254068106,3204421096,79291559,29288448,3230580779,234893497,4277386783,4227866815,1085842931,2966982144,2959205965,2955011839,3091457718,1122370771,1122419850,270820068,3892341666,1005065278,2165105428,1929724155,284918022,3188290308,62514347,24045568,568786096,2818576544,3909317889,3165651129,11805158,3304461261,3122689535,481297394,3804834798,872342270,2281813458,3892330006,124913907,3974636213,3188290312,62514350,19589120,4072279216,113765891,1966106,1836743,2981953566,48868,5671726,720284336,2856119488,2492008053,1178992648,4253107525,3832931511,3120562363,2834039802,3339220472,4160749703,3124970243,2834039546,3339220472,4160749703,2336441090,3523457478,2730691272,28966929,262728706,243271029,2953838609,2158028416,16781886,28968564,1107968,2147536873,16781886,787022709,4285983226,3089037980,3633184832,410318346,635963059,4278116864,2163570126,16781886,3450865269,3907740134,233308595,4278116864,3807737290,536797950,3065037725,867714022,2319640069,3829589700,216042081,727836163,4278117065,2331669963,3277973188,1642466480,3794359993,3872174334,3863785569,3875385441,11860769,3304507691,3791812095,2321605881,3872174296,1375454049,610395216,727836351,218030793,2959205952,1478551072,1085853529,2161675776,16781886,28706165,788485609,3074819210,3440292864,3103056400,281873933,3440249528,3103507216,3633184832,2818576545,3106108417,3025207300,1913900288,3137516564,3280863232,3128688827,28901376,3439439872,74668307,416145634,8126698,268032,3221323779,805330944,201332736,1377762048,2337363798,3135689202,3666739264,38027,376754699,410313738,1316277502,58051838,4261448169,3909318092,1599668409,3474938462,3263422602,4001411075,3268465802,3268461264,3800154832,700383246,2348418023,1107296404,21334574,2318289646,3263426053,616860163,3934514719,3993022466,2203089387,61867202,2211001326,2834039490,3792205088,3430963449,732425040,279506121,4192340085,2160885848,726309099,547941577,4192340085,2160885848,3934488811,3247069445,4286507502,7415424,79856511,2213413296,3375039170,1965074668,3036275207,4284672384,27847754,116787573,1954545777,619506676,2346748446,3959423124,2348763113,2197815444,2330723778,3924574944,519831352,4242259,3825916814,3439201140,3439206516,526069108,4203805647,1711755,1842747,126612340,2298486504,1526733342,2348470047,989862430,2332040222,526121735,2684355274,526057495,46367695,4127617,515572597,978502400,490227269,1082144298,67637280,4279959810,4294967040,4294967070,2147426303,85398015,353965074,454037257,33491485,117834771,202050056,4294967295,51911196,219021846,4294967295,4280352767,1633705822,1701077858,4294928230,4286906231,4285857651,4285988725,842079231,909456435,809056311,151534893,1919252337,1769306484,1566273647,1935802125,1751606884,996961130,1560240167,1986230394,745369186,721366830,469704959,606289953,707157541,727656744,1464926216,1498698309,1347373397,4279074171,1178882881,1263159367,2116172364,1482325247,1312970307,1061043277,553582847,1448432895,1515804759,1750948955,1818978921,1886350957,959985521,909456429,858927403,1212624432,4283170633,1347419981,4216541777,1381061456,102651734,4241660,1625610382,2321671248,3867151584,3873474145,3767162977,58064700,604141033,3204910719,146401410,2326721024,3909317828,4018208904,2318329987,2833812133,2153018752,124981500,1517064,4127228905,67114758,1379690613,116794741,1946681367,2421943043,1509110,4128077088,50337542,817368436,30992722,1509110,2230547459,1962940454,405145677,388378624,1968323584,1375778881,2147596777,443748604,639685878,3090939927,429927541,2281747456,1006639398,3911152640,3572892067,1582624,2151421163,116789363,1946681368,1950694423,405176325,2969237248,119596576,1516134175,3478674265,1509110,3909317896,116785295,1946419223,1968389169,1913046829,3910284288,1330836945,1280004432,1229473613,319951120,387323156,522066200,589439264,740697380,808398381,960246321,548406645,3204523497,179956362,1974399488,2347729170,1679594,3841329844,430098179,3331058432,6406,4060093113,2953147822,16312576,208798268,141758012,2960573568,15264000,57883452,1023370217,3153687367,636086627,386332161,1534329856,410338876,2298486459,2298485278,3321895966,2147512582,12065741,11856128,561333564,1576576,3860901896,1228832800,125044480,2684606650,4142792805,134223878,384432501,1966554367,1912649734,3137373673,993847442,2028667763,3905731472,1006683113,4130173767,50337542,255613812,12060277,2422336271,158676796,551952560,3672704461,1916484862,3914971910,3137378281,1089202463,1509110,4129322272,50337542,1245454453,1312557940,1194069108,3957947067,1244510327,733487851,4129155918,50337542,1177346165,3957943739,1916484619,3942690820,3907369735,3610167550,527761212,1962933376,386332186,544489472,1509110,1007645699,1008038465,68253530,3910003488,1631387228,2050754162,539755127,1842827,1625879435,438189052,2299098112,471763204,4265273600,3909094888,992804404,3767195438,2833973424,3142669136,1642332352,3875284048,4766049,34406114,1220108774,1274995200,3864587125,1482381665,1364458435,1431787038,3203173202,3733848128,3137346792,4293394436,1076267009,1093044736,33325056,1599953653,1532567390,2315256522,1059487984,3825893120,3439208308,113669236,2147483713,326305018,1786039550,58051838,4261451497,4268258508,3328734412,16793862,66239171,4169978,3771860145,209002664,108347560,108298408,3237921022,135053566,1040631534,113639424,201326657,3908824580,1117782568,1958755328,1091469319,300621824,1206387636,113409,3137433064,1743257603,1101054721,1185989376,3020012008,2956389222,2163600194,2147499790,2817018544,3947738113,506660,3137421800,1005060105,1030913,3137418728,2884173841,1057914880,1253081088,3019997672,3322442565,151011590,1354956976,2966063697,4209037825,4196038,1057391871,2150724864,4026548006,4130312,3524309243,214043360,4072296972,4133154307,2147499782,347804276,14739456,141878282,4276275499,4142648574,3773323771,4236924928,1265762486,2431513534,9758806,3489752714,2162479332,3792307428,2147517928,58019327,2331992809,7923941,3892405898,3783917682,3137367528,2481455111,637696,3137375720,2280128523,899840,1577091560,1912684776,24373317,3204202354,615252034,1010529472,2888398144,78962896,3771737202,280289488,3771735154,376572084,3771785424,242353332,62185680,3771730034,41026228,638066868,2011693121,787006209,1877525249,3286512129,4105851218,3972608771,208945320,243333602,1501560897,3287898202,2834090291,3791943040,2330717177,66435780,3277478382,2394958622,2016855512,2330710272,3295813408,1359065283,3235039882,1040614489,135492864,3019914758,4289521671,2817057418,7530751,263465330,2332007912,4288211170,2481513866,6220031,1227676,1375712744,167913145,3792073956,3956080382,3281869299,3859605073,2982185995,2327892740,66069736,4261573571,82202821,82232458,254068106,3867836902,3906060330,441168,2331997672,3771947212,98979912,99009674,3238221913,3858935897,518570762,3021238784,4280870920,1912622312,4366346,1614569508,3287810676,4263552,4223924544,45306195,116836659,1971322942,4277658124,2163439051,2147500302,645963001,2642346046,4223884121,1085820958,2161675776,2147499534,551952560,4241432408,1358971583,129192786,4105881907,2158554115,4192341109,4263552,1515977088,2834088793,2147972416,536887566,3963809771,3108439432,4276224010,279505994,3422422644,3823880821,3277412955,973096352,4694213,146475636,4273006592,3237921930,3485712682,134358274,4132503338,519767065,1397839442,2382381246,3522333662,143952870,1959922432,1961101836,1959591438,1959591490,1582914346,1355751258,3375565491],255,[2330739438,1971366112,4277658126,2163439051,3833594316,2954161145,2968404493,1348005388,562315,3767200834,1526260864,4102079114,1354951496,2952970883,3904433672,4252321795,3958246576,3488677083,452063473,821537266,1106418930,3287514611,1425274611,670316786,2063016692,117242866,1397838366,2320521046,3521393348,1039174624,74580000,21490008,2382381240,3087055064,1064587,3204993,1966145411,2952837123,2321072270,771770662,4031096063,170731576,471402015,117835522,0,173690993,471402015,117835522,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,268437504,1073758208,1347430440,1347430440,690825260,689843754,3003372730,822051584,128976757,4261655738,2732624579,378077257,1344143459,79856466,1525597066,3633233963,7610053,1096024,1912798336,2161705744,158467324,4236302595,50491911,3828502745,1122944138,126534910,3796517870,857692403,1312721407,1644611072,12124160,83656736,4236250226,855929863,3104238528,548931584,3349934855,1728077830,4825088,4035699762,6493835,772063875,4042556554,6660846,3968109102,2749641456,3867213898,2335047694,2314265740,3103804430,1354694664,856104448,1118565312,1048588464,1963327561,3997151234,1593861794,1515805534,3033466655,1611565322,190464,378269163,3297378403,3314172654,3297397486,1122943230,3287204234,3979530122,4052476369,5280905,6438456,3263890805,3942646504,8382654,235128971,4191223886,3253210804,3750413311,3822190386,5281675,6295179,1482382943,3473350488,2332058274,2550156302,2749495120,3364552782,213187025,1543476200,2274091985,3102212176,4285786623,6493835,2684732035,4278845542,3760459381,169862016,1721953987,4283951360,3956334372,537719667,646639595,1235222602,1648265728,1499356928,1409236969,3297433739,4859638,3271819058,3277578449,4236302474,2148037124,57935868,1392636905,971555211,53703680,719751920,7727331,4244894979,4118138110,3894456408,4244832368,4151692286,2382381240,1228832984,125044480,3120588192,3924689880,3733651169,1048632043,1912733769,1228832793,309789440,64666194,145288272,632355700,3993229498,2129156696,1309017087,2348321536,4275121136,851640006,1244564461,2330788608,1244067523,113246976,16482335,1456114371,1604711255,3398091614,1605104471,3632987587,1912929408,133988360,2800288628,3263910657,1962906600,2330995488,3907201766,4113301455,3439263019,2958620021,4291487776,3422485803,1474951029,3957230335,83656941,4236249202,3909317639,451412649,2347993856,2197840662,520488642,1963043052,2834103035,2918937601,2331910377,2347578063,2347160049,855658628,50783195,3791670302,4274776314,2160318467,141690108,1946680448,28436739,1364255626,2348798184,2338019835,2197840662,2834040514,4210783489,1946265836,2881719291,3924353787,4236312017,2148037124,57935868,1342275305,4288669777,1532623755,6493835,3959865987,4218749352,27847930,3280665460,3907143594,3908935913,2317746225,3536069124,3536751328,4254067136,518541392,585683456,210380484,2160326235,3572895093,3238710306,1476692006,855470313,1408625601,1378398288,4143899264,3270925026,84112385,4035649536,3151072088,45679296,1228832771,108135936,3103883451,3928098563,4060342995,3375036298,3439511760,4168470526,3973243786,3632972635,1793638795,737708802,29524433,3504787457,1228832998,74647040,3889291984,3978960646,3822117840,3280612724,3841347764,4026791819,3811239562,2164293864,2166337774,4263489775,2331080140,8972487,531689345,4118137854,2331825385,4260162526,3263944842,2332168424,2177969144,3489726914,2162610406,100682046,3805283699,105375697,2179803679,3489722567,1961087203,3032713774,2347038288,2330995703,3907201766,4001431585,4018217040,3439206480,3347771765,2164271592,4263530735,4243944907,2331800809,2330717150,4082587338,2170445732,2166358214,1444937927,4090137175,3277741988,4082616970,3347144618,2320965632,1605039050,1342223555,2332132840,2151438584,1857947251,267063034,723419180,3319697142,2348842038,3511820250,3521171936,2163213280,100682046,1462530591,2885989974,1971373046,648849942,536839560,4266641283,1592554958,3823257439,654046441,2896823602,4286919206,2329996063,3907506643,1448542417,3903587510,3273851102,1954595574,624043527,21312038,639993894,2885764488,587253224,2160260803,841353844,639631525,536970546,10848294,2240292384,3347259393,1976499792,2204065473,3068265159,3908801769,4035641558,2332617859,1228833004,520488448,79043186,1183319178,2223654144,1183326208,3330491648,1976499792,2417486827,79095505,2164295912,3894411462,4001431681,3472760752,1858072181,2198277882,4119529709,369144060,8436255,146364246,1604776704,4263408734,147293120,1022195018,722629632,3302526656,2348842046,1959201728,3951079428,147096530,2163937513,3280602083,244049,3771785424,4175616010,3277454218,3126022482,28901376,601393920,3520269273,2346832352,198779864,1944179155,1539476460,2328058457,21269028,2998927545,4173432064,3505979764,3521761746,2297590761,3276079190,1392529569,3297433739,4859638,3771850961,3271819050,1347470171,281871284,1946696792,1947024473,1946827870,1946631262,1648265825,3104486400,281870337,372949758,913637450,4269801650,3022877976,3439376130,4825104,108135484,11994940,146015861,4236906701,3104178616,414580736,4855434,281922302,4199016792,45401854,4202755307,4277629952,3002330058,2163206912,3899988222,45332971,3958294504,84083675,50529029,2332079108,2197840662,2834040514,2826466564,3028186114,1662421776,4005857792,3901418562,2328165962,3963809476,512419210,4280942665,2711587374,734211063,2030063110,47107,1048576945,1912864841,1228832810,594806528,4076218546,3976390794,4280999050,4800128,2969859334,3554988036,2329184995,3505311984,4128435182,2315274806,3537144560,2330495712,3556717276,1375843555,6493835,3993485955,526278490,119480095,3089038287,3633184832,520098721,3089038287,3633184832,520097953,1344207823,2382381240,1898348760,3898113792,3391029252,3825860610,3439203188,3439204468,3439204980,669582197,4185961473,610395331,711059191,1642382308,4125820940,3193327955,3269984263,610460673,7053840,4131355322,2147512582,2330526580,58018304,3892348137,3957522630,3104012474,568590848,568721676,7407350,1366062464,184593896,3312736713,82039611,3907174259,2615731826,7006208,1232410172,1364941150,6883015,12255231,1896281601,594903040,1912623080,637920030,1229129608,3907682122,1038614592,2179213824,251685182,3808851229,3033393926,1522859521,4132491563,326435780,3942653928,57953806,1593795305,3526056793,3830449332,3875415073,4282574881,33325144,1364444149,3897624753,551747622,2156627,52028248,4043014616,1503655174,3902723536,3388866777,3314212981,3277543928,4192991577,2315281593,3825232678,974136418,2734219716,11534443,1088701414,1088741514,512476294,3626696807,3271583651,1642352979,17628452,3065012710,2800239590,77641728,3103819240,3908634624,4209115240,6482168,380656473,3338683624,4278216966,16825087,3892808230,48431157,2135574851,6922739,2253443319,2353376,2091096,3614820619,2144593,2812153,2958686946,3091457712,870842369,4269467648,1371783211,2984806992,2631258120,2634025960,4261422312,1492284873,2696463193,3087233540,3830448720,1948263522,610460922,1492808992,3297395430,2713928422,3637575785,1912131793,135279876,2748371449,3905093737,1119092259,3792109753,1976303358,50167,0,2172518400,2579333541,4286480001,3888381915,4268523263,947715838,940572688,947715708,2084046864,2097086008,269515832,2097052728,31800,406600728,4294901760,3888366567,1006698495,1715618406,3288268860,2579348889,118489027,3435953423,1715239116,406611558,859773054,1882206271,1669325040,1734566783,1520025830,1021830972,3766524250,3774414584,235012224,239009342,1008205826,2115508350,1717966908,6710886,3682533478,454786011,1665007643,946629688,30924,2122186752,1008205950,1014896766,1008271128,404232318,404226072,1014896664,402653208,403504652,805306368,811662944,0,4274045120,603979776,610729830,402653184,4294934076,4278190080,406617855,0,0,2016411648,3158136,1819017264,108,1819017216,1828613374,2083520620,4161566912,3321888816,1714428108,1815609542,3437000248,1616904310,192,806879232,811622496,811597848,806885400,1711276128,1715273532,805306368,808516656,0,805306368,24624,64512,0,805306368,201719856,3227529240,3330015360,3874938574,1882194044,808464432,3430416636,3428857868,3430416636,3423352844,1008468088,218025068,3237740574,3423341816,1614282872,3435985088,3439067256,808458252,3430416432,3435952332,3430416504,403471564,805306480,805306416,805306416,805306416,806903856,811647072,24,4227858684,811597824,806882328,3430416480,3151884,3330015280,3235831518,2016411768,3439119564,1727791308,1717992550,1715208444,1723908288,1828192316,1818650214,1660813560,1651013736,1660813566,1617459304,1715208432,1724825792,3435921470,3435986124,813170892,808464432,203292792,3435924492,1726349432,1718384748,1626341606,1717723232,4005953790,3335978750,3871736006,3335446262,1815609542,1824966342,1727791160,1616936038,3430416624,2027736268,1727791132,1718385766,3430416614,3424415968,3036414072,808464432,3435921528,3435973836,3435921660,2026687692,3334864944,4009678534,3334865094,1815623788,3435921606,808483020,3338535032,1714559116,1618477310,1616928864,1623195768,101455920,410517506,404232216,940572792,50796,0,0,808517376,24,0,3430681720,1625292918,1717992544,220,3435187320,203161720,3435953164,118,3237792888,1815609464,1616965728,240,2093796470,1625356300,1717991020,3145958,808464496,786552,3423341580,1625323724,1819831398,812646630,808464432,120,3607035596,198,3435973880,204,3435973752,120,2087085788,61536,2093796470,7692,1617327836,240,209240188,806355192,875573372,24,3435973836,118,2026687692,48,4278113990,108,1815637190,198,2093796556,63500,1680906492,807141628,808509488,404226076,404226072,819986456,808459312,3698720992,0,268435456,3334892600,519766270,4241488,173594766,4261901540,4212552908,2700791583,113639536,2332033136,2332061198,3942673430,378141418,243859564,113639534,3942645872,1344207834,4241490,117430414,74776684,7210751,7224963,2165929240,2952817726,3339810048,28166,1812383488,3321888768,16805894,4198142,645925749,2968518719,66238988,2954677742,1512105504,2781814616,2280653054,15728873,0,0,0,1459617792,15728879,1694498816,1307574512,1106247928,1508901112,972030188,1508901095,787480824,3538944232,15728879,4076208128,1861222630,1408237822,1408237823,2767192319,3354394864,15728879,3472883712,1397759739,1354256977,2161675776,16777278,113663860,3019964416,2316356879,3893999052,3025207381,1494273283,3033674578,3020999938,168873224,2952951232,3526578720,399369266,633665114,3271434613,3749038650,3800748594,2353234,986119770,1523611118,281871028,1734,1510664960,281871028,1734,1532582655,869211992,2967745234,840420618,3440226532,4294951703,4294967295,4294967295,4294967295,4294967295,4294967295,14703594,791949552,942617650,3959422769]]},"ibm5150.panel":null,"ibm5150.chipset":{"0":[125,240,125,240],"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,[48,81],[255,1],[48,83],[255,1],70,0,null],[true,[255,255],[255,255],[255,255],[255,255],67,null,null]]],"2":[[[0,[19,8,null,9],4,188,0,0,7,10]]],"3":[182,[[[0,0],[242,247],[150,92],[38,246],0,6,48,2,2,false,true,true,162138818],[[18,0],[18,0],[18,0],[0,0],0,4,16,1,1,true,false,true,162218365],[[51,5],[51,5],[51,5],[0,0],0,6,48,2,2,true,false,true,162218365]]],"4":[null,77,null,153,128]},"ibm5150.romBASIC":null,"ibm5150.romBIOS":null,"ibm5150.ramLow":null,"ibm5150.keyboard":{"0":[true,true]},"ibm5150.videoMDA":{"0":[true,41,null,9,15,[97,80,82,15,25,6,25,25,2,13,11,12,0,0,8,112]],"1":[false,0,null,null,null,[]],"2":[3,7,7],"3":[]},"ibm5150.fdcNEC":{"0":[1,1,128,[1,0,0,7,0,6,2,42,255],0,0,45,[[0,true,0,2,0,8,9,512,512,102,"PC-DOS 2.00 (Disk 1)","/disks/pc/dos/ibm/2.00/PCDOS200-DISK1.json"],[0,true,0,2,7,6,9,512,512,102,"VisiCalc","/apps/pc/1981/visicalc/disk.json"],[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 2)","/disks/pc/dos/ibm/2.00/PCDOS200-DISK2.json",[["/disks/pc/dos/ibm/2.00/PCDOS200-DISK2.json",-1667401150]]],["PC-DOS 2.00 (Disk 1)","/disks/pc/dos/ibm/2.00/PCDOS200-DISK1.json",[["/disks/pc/dos/ibm/2.00/PCDOS200-DISK1.json",1517270209]]],["VisiCalc","/apps/pc/1981/visicalc/disk.json",[["/apps/pc/1981/visicalc/disk.json",910845318]]]]]},"ibm5150.debugger":{"0":[755,1536,25331],"1":[0,0,0],"2":["d",false,0]}}
+{"parms":{"id":"ibm5150.pc-mda-64k","name":"IBM PC","buswidth":"20","resume":"0","state":"/apps/pc/1981/visicalc/state.json"},"timestamp":"2014-11-11 12:26:33","version":"1.x.x","url":"http://pcjs:8088/apps/pc/1981/visicalc/?gort=debug&autostart=false","browser":"Mozilla/5.0 (Macintosh; Intel Mac OS X 10_10_0) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/38.0.2125.111 Safari/537.36","ibm5150.cpu8088":{"0":[0,29602,4,128,29582,29684,27917,27877,0],"1":[24686,[1536,24576,65535,0,true,"CS",0,0],[1536,24576,65535,0,false,"DS",0,0],[1536,24576,65535,0,false,"SS",0,0],[1536,24576,65535,0,false,"ES",0,0],null,62022],"2":["DS","SS",0,0,0,-1,-1],"3":[1,143218173,1],"4":[0,[14364995,7340351,-268377405,7340351,7340351,-268370092,0,0,-268370267,-268375673,0,0,0,0,-268374185,7340351,-268373915,-268371891,-268371903,-268374951,-268376263,-268371879,-268376018,-268374062,-167772160,-268376334,-268370322,100687814,-268370093,-268373852,1314,0,14355451,87294336,87294604,87294617,100688519,14357716,14357793,14362599,14355463,7340326,0,0,0,0,87294829,0,-619968278,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-18153472,-226234368,-65280,-294846400,-226299904,6,4194305,60529,4514999,4194304,2080374785,-268376291,324246,0,0,0,0,1073741949,0,3014656,470614062,811736077,470624058,778252150,7181,0,0,0,196608,65683,83887872,5244674,16384,6912,0,0,0,-1275068313,707799299,268435702,396,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1651310592,538968064,661483363,0,0,1610612736,132712,4608,48194153,705233445,16142591,2,0,1610612736,722536,17152,1296912195,541347393,541937475,0,0,1610612736,2950760,17664,1230196289,538976288,542333267,0,0,1610612736,5244520,1664,1297239878,538989633,541937475,0,0,1610612736,5506664,6016,1145784387,538987347,541937475,0,0,1610612736,6293096,6400,542333267,538976288,541937475,0,0,1610612736,7145064,1408,1263749444,1498435395,541937475,0,0,1610612736,7341672,2444,1263749444,1347243843,541937475,0,0,1610612736,7669352,2074,1347243843,538976288,541937475,0,0,1610612736,7997032,2523,1229734981,538976334,541937475,0,0,1610612736,8324712,4608,1162104653,538976288,541937475,0,0,1610612736,8914536,3139,1397310534,538976331,541937475,0,0,1610612736,9373288,6177,1262698818,538988629,541937475,0,0,1610612736,10225256,3687,84231506,4259839,-268374419,455298,83951616,-328138688,-457768960,328837,83951728,97728000,-234749840,-18153472,-234360832,14352397,8978963,-230289531,460571,0,0,0,0,1560281088,235133702,-1744765948,302053380,-1526656511,302292228,302060033,1392573441,302087937,-989746687,302105857,302060033,-83821567,302129665,1661098753,1157784322,302060034,-67038719,-133994240,302060032,201526273,302060035,-67038719,-134149888,302060032,-1425888511,302173186,-620672255,-1993424640,771784990,8586892,733894347,1445915392,-339725744,-1336912380,4177409,1347821803,183222322,28332118,1347814635,1774060208,1443621632,-352299586,398349828,1381060608,102651223,-2052968877,516238848,1200226433,224889345,-1961734261,-1969810345,-466484665,-268177405,209128252,243254423,620699406,418055092,516228016,1328087169,-343821294,-2128689909,-1983892736,28578375,-2128689874,55019776,1562314587,1482250847,1358678878,-1275066437,1477496078,-2062120241,-1007275520,1376175662,-812645631,7340501,8814611,1329791121,538976334,-486531040,115888392,-492152576,867429368,1376159424,1975519745,186043669,1039168704,41251328,-1073082192,646448245,-1597832878,-1073086126,28579701,460592845,108380171,382533812,4057579,-1342016142,-2128689904,222791680,-369136663,48824142,-956962048,86534,-1897057506,436651741,113647108,522060828,652075971,1363608970,1596575063,-336272807,1879213775,-2038431744,1090557696,538990677,-1742725088,28674,-1761573248,1297040128,538976305,-486539232,8185873,126271539,58048522,-1442838808,32111330,-402475777,-990511041,1476817934,-571929680,1474872318,168266240,-401312320,-990511067,-1475382271,-401902560,1072234455,-385382400,-1276510373,780542,-160161624,1948304630,-1262752783,-19273725,-389868339,130416670,-475272448,92939945,-402541497,-990445593,-1341819776,-24712950,-1830032414,-1946242328,-104627750,49857281,-2147483536,10879110,542003792,538976288,7341683,8814592,1347158182,538980692,-486531040,92939804,-1442396601,-466485246,1946165480,-1439268854,-227213054,-486656023,-28907036,1962937064,-2134575373,535425909,-402475778,399375955,-990510416,-1341098751,147125770,-990508684,-1342016480,-1010824695,7340989,8814600,1279459515,608912207,8224,-1559917786,-1070398710,-1960437043,-1960443315,1018168405,11920886,1891221763,-136672489,-1329034271,65533540,13796296,-888995657,-1845439869,-385107055,-779623433,65271698,13796289,375698,-930417674,-997588811,-201878888,28627083,-1444341043,-843041795,168165658,-1950250237,-773664294,-773664303,332596177,196711105,-1947076631,-138398760,-1177318415,-235470648,1919220352,1693089795,-774206731,-788483376,3979730,-91557385,-997789194,51028304,-1951704917,1441377219,1879173117,-2046820352,33603840,64001,512,33554432,117833729,-1089801728,-990511103,857830404,63487743,410321978,449642676,453071915,-922025140,-771028363,-92076428,1191278376,8462021,-384925815,-1977156348,1108005,8462021,-1995610232,1334579839,-51451628,1397903696,-511652726,-117866248,-21757324,973544639,1946407686,-1090162109,1022035759,146473392,21018944,-1090453062,-990509947,-33065726,-2084307264,-990500671,50885633,-26167351,-2000486714,2106065525,139299078,-2012584568,1569196869,257263629,1482250843,16908483,1073872897,-33472512,524289,1,-352314392,-855193839,-352255229,-855193850,-402652413,57868301,-369341463,113704028,-134085683,-928900125,-651785981,-388004093,-225706150,1426321667,141900561,145753206,104514553,158467027,1946622880,-339673586,-817987574,57999619,-1576945944,243860436,865207249,225834962,378061566,1300956118,-137219313,-719943439,64463619,-1945906783,-773402170,-773402138,-2114780186,1912733638,-790722789,713077999,987662311,-1979549984,-997568288,1476416232,443860010,-397212080,-947912670,6547458,-396884133,-922877930,-402471040,11796531,378084045,243860425,-1007156277,-1957670057,46629115,-1174604917,-1960443648,76228125,-1424193242,-220051898,63977088,1599821825,1958742723,224758523,640337150,-533068842,-527826314,-389772720,710410251,48550084,-1327567876,376321,63776394,-686388400,-771313405,-701101338,-2033546493,-736719895,1913900291,-2125440960,50580798,-1274645247,1913900292,-511682512,702820927,33804550,-703690552,223164931,113646198,-1979644970,-33303242,259340998,-164493710,64423679,64304776,11817155,1314395085,-58718092,1476621440,1048614635,1946158032,123427590,251607528,-1564177913,129566293,105889536,1166716658,-787576058,-651785469,-2134640381,67637312,100794371,525316,-953775604,107462403,-2046972439,470058244,470232839,-2063126777,28678,-1409251712,1414548480,538976306,1879480096,-2038431744,1275113984,540234832,-14671840,28927,-1660909952,1297040128,538976306,-164422112,-527769970,222301417,1986610186,543515753,1919252079,2003790950,52693517,5653828,84216320,131584,1481982208,538976288,538976288,65536,0,33,1879168448,0,0,132608,1313817344,538976288,538976288,65536,0,33,1879130323,0,28013,66048,1314017280,538976288,538976288,65536,0,33,1879213760,0,0,536870912,541283842,538976288,1297040160,65751,27520,-1207958640,889193025,14080,7045120,0,0,0,0,0,0,0,0,0,0,16777216,512,-2147483648,393216,83832592,603979776,771763200,0,0,1109329161,1769691,49807579,20971632,131184,301989890,1879130117,-914357248,1309725712,538987605,18882592,1,16843264,-16777216,251658496,369154880,16778241,0,0,-616554498,1006633216,1879097600,83889664,768,0,-1291845632,16833282,234881024,1280,0,0,-620580096,256,-928593920,-928659291,522002341,522067742,505355807,393247,1668680895,13,0,0,0,0,268443853,-258958848,16838915,201786633,201785563,219,-16777216,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,13312461,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],1,[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,409600,1,541283840,538976288,1297040160,5632,0,0,8448,0,637603840,18089612,-452984694,-1943605966,2497092,33489153,14369405,260,-15055872,-1107164929,1879213570,-620717056,7045120,1073741824,922760602,768,637534208,199,-2147483648,889290753,-256,-1509949441,262350337,16833344,1207959975,7340352,21025747,1834745968,67072,723910656,-150931706,61032664,-1084743936,61866017,17743786,203,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1879048192,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14352384,0,0,0,0,0,0,4259839,-268374419,455298,131073,-328138688,117899265,4259839,-268374419,455298,117768193,-328138688,1115488257,328837,117768304,97730591,-234487696,7340032,7341410,77328966,14352715,1115488368,3948559,3932379,722468864,1075773441,76560,16415,25165884,1115504655,262363,965410818,290804999,87293995,213848322,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-334168064,4194523,3474099,-268435456,7340251,-268370197,61959,-18153472,520192,-234360295,1835056,6750215,4197120,-142823424,-230232064,28116749,458828,41877511,14352603,7340335,913922,14356635,33747458,722089174,908987568,213845300,653083788,212872271,872422656,-1728052475,16833280,-46401536,1073743109,154,0,0,-1275067904,-2145326336,1989171196,-822038502,-1892788136,-1677531898,-13741830,-2147293898,2005935353,-387872024,-1943142180,771967006,54926985,-611398772,21038846,-1560091231,-408876078,198222594,646533208,378274533,512623335,646513061,378273838,-880017360,-1866673266,521075466,1049165618,113639748,-973012667,59654,-472785782,1961102076,217874459,-58717578,-2147126191,209015036,21118592,-1138854656,434834384,21104326,1124517376,817692417,1174861323,91553537,593750096,-1472790696,-1208013311,512429332,512623430,-87882936,1091501614,646655489,-1909587227,-1962744042,4622572,198353198,48603950,198222126,48735022,-822082584,-1892807449,1477240838,1582979419,119496031,-399048914,-1892760820,101509126,1448563998,1347637586,-986780949,-1023220426,883363502,893596848,895890784,275320893,898184570,928724373,268187493,779948079,249048803,762515257,755707139,770781013,271191492,231149524,230952393,266276292,756747716,258944291,285151149,757797147,283389235,747318382,750529707,264244785,666766841,238555105,284102231,338890351,301796882,313332618,970734387,1003371193,989674491,1018117217,1009007870,1038302283,372118962,666441283,665528308,1070153497,298848714,342167139,286592556,1043218023,-1295794126,-1977674240,308144322,359858096,639154920,1242388107,71731750,-1960394498,-981269938,-14489578,-1996206967,1820919380,239373314,-1960896829,-1962150114,-1593051890,99093497,39619071,-1996206967,-1073036540,28312948,503565289,375345671,16498207,-204960851,-1010814043,15704118,906044611,-1023348830,192266250,922669032,-2013182304,-20773308,-2146863672,-2009726494,-1023326698,-389808208,1153957556,-1946074878,-389869484,1153957544,-1946087934,381882452,-389903841,-4714057,-400264449,-768403437,637534907,1225608843,386132049,1128399221,643561442,-33274230,652489408,-402502005,1284111980,106727684,-1996335991,-1070415100,1309066806,-1976172541,906186278,-402436957,1552875084,-1900006636,704192,-1526691649,-1515870811,592570789,-1307958296,173175296,-1593476892,-1023540929,272992550,637726881,-1592638071,-1993997582,396432453,1166616067,-990672106,-1207897282,104464639,158663393,-1413415253,46506155,49258666,178962686,-1912310574,-1190972130,-1510801392,516145202,-18425,272992550,612034755,-277677429,-1005566581,-1073016211,1569449336,1344164374,-265385674,109852162,501744370,113727499,-64725,-401975832,1594296820,-385913623,-5240436,-947666318,1300964897,1976110061,8435971,1179046451,53812878,-150846325,-139636495,1523715057,1967129716,-1951710719,11578050,1933638019,629679619,435218627,-2011085431,2105746261,57884686,-1021020792,-216102090,244004352,1105723637,39619069,-1022342007,-216626890,512505344,-1295843083,-1977674240,273017026,-1528295566,-48306154,-1945998199,-1070461372,-1006653245,-5234922,-954469144,-16692986,1191626751,-385876223,1170610797,2105540871,141885188,-16497209,444917760,1964667368,-1607023639,918749502,973151904,906326992,20846216,1019382467,909800959,48578244,-840377549,-1259507185,101705729,719850357,1300244000,-1070448618,1702897347,451460886,-388287712,-260960340,-286785100,854553605,99084516,29053891,261548032,1156979570,292847640,1959089694,71628313,1948212752,-349582076,583683,-389850120,-93188236,-402396336,62136277,1946530024,45373686,-133846808,1017917123,-386304988,-169139220,512306883,-1943141576,-888980986,-1003597050,637745182,216961,-888710399,1445050344,-1879301144,-389871548,-1004142568,-65607649,-1946002295,-389869500,-1993998328,1603020311,-617364734,-661994610,-472783919,113653443,-1895890521,116797122,1962869159,512634375,116064677,-1896095768,-164424612,-2135294325,782627584,27723510,238449919,-1176816865,-402259948,343025788,854087430,637760040,123667966,117803558,126494214,-488488185,27604735,-1893313701,-1946151418,-1912494842,113651419,-1593835097,-919404542,-1030825586,-1090484034,112787466,648409856,721420963,268385730,-4717706,834319,78764075,-628170541,-1996487005,-956299234,-855638010,84330016,113744384,567083088,5375686,-1993423925,-1023302370,788216808,27604735,-1023261553,-315416,-123922828,-466482453,-318488,-107145612,-1885600631,-373090748,-1410793296,651225088,-225708686,118918190,113716739,174588677,-953282384,188934,143190245,-680393808,1053153397,-148176077,141950806,922689302,-1070398697,-402450525,1366427186,-1006141976,637743934,17122758,-1206859901,-1951719378],2,[-402450666,783812229,-396711122,784598653,844759792,418244800,51844747,53690053,-1980300450,-1982713068,1418265172,88458756,639571457,-402635126,1340676461,-1000711425,839053358,415099072,53690053,-2080963746,80091886,-2758427,971572656,639691007,1377720946,-1914113397,1968140808,51880269,-2027497333,-1073013666,-1099686050,-947651189,785877790,49626752,1174565888,785288006,49692288,1174696960,187427649,858354907,1031808731,1191474176,-1325995197,104476207,41222393,1135238320,1482169067,-706149456,-75283458,-617364672,1958742700,1949187174,3008541,1916861315,1166681839,558426367,844038517,-953767232,-58298,179097323,1010791616,-388926162,179044387,-348949312,-391489593,326369211,1946172544,401124364,-1427147487,1946135272,1606637570,994791363,1358525690,-12219866,1478557160,1263529588,-1437602325,-369207831,1139277989,-1946652123,129165554,561377650,51854987,427097867,474909478,1979709827,109635605,-1946591256,1552811604,1490283278,-385503144,-113508824,279970933,1053160939,-550829261,141950803,118890262,-1341998657,768319,-1070421261,152692906,-1912220952,-1962724066,775794163,-2084276960,1034755782,-1149948370,113712918,131391,-972705048,369280262,1929714920,-265370458,387877634,373483523,-390057382,1053103923,56296243,-452475169,-1325510935,378661635,1975519775,-115963386,-31462656,-2012908088,-1023346410,108382462,16389770,-922874645,378013045,-1329397510,-1377254401,106203640,-2080535613,-1414724921,-22228853,-1057051960,27845682,-989985163,-152311600,-1968520054,-1431525928,-1414662006,-355269199,-1950219448,-137219126,1204325361,648848711,-1391049080,652736170,-1425652221,-1993948925,723913542,-654897850,-388772982,1183393344,1187456525,-1023410148,67896834,1082130440,50595842,378285818,-1993473305,235070758,187743255,1090977334,503773953,166207254,443686659,1946927592,118359573,112845874,348700416,74821362,90540582,-100140793,1091501622,646657537,-1909062939,-83695850,-1943078197,771942166,48572041,817633038,117323275,117113153,-400615906,1914634940,194570445,-1590251029,619184396,-1023315200,507059974,108331009,67271,1048576000,1952055296,190698,-661855253,198147,650153536,16000,638219341,16000,-117279654,-2134640445,1509949502,-639043468,653488895,81539,652965120,200331,51249473,243934720,243793920,-672464896,-1070399488,211891792,-4855807,520492402,81539,-2145553408,1509949502,-1712845964,1491825663,233375664,-147658500,39618907,-219477840,1929355496,51284970,-902080000,-779419018,2010725202,-1943702322,1086522328,512344206,-886374397,243869257,1303576579,7814,2000934,113714688,1,27631926,-1946156637,-379895592,-1064502354,-12720056,-953808526,262,-1326650624,-1935676663,686311616,-352160769,-388460921,-143458507,200331,1993947985,-8787556,922126312,24450700,1929824054,906146561,24577735,-1556742143,1156973235,58032152,-402620183,371127928,857675271,1746831835,1914603521,23444225,168040121,-1189579548,-855767794,381227380,1959591432,168671570,1265945854,-1274605639,1695451270,1731102721,533498369,906022120,23608971,-2147432457,-511045772,1008368104,914715649,23668352,-2145446147,108332541,-1576963424,646578867,-722075287,-402463616,-1590233616,-1262288205,179760007,-31034140,-33196852,-1022266164,-14584577,350757748,591695616,-1021229937,-402643992,384305151,5302294,1501379,1359395816,1494616296,1072220427,-1281346048,-1326877438,-1892236518,-402563834,-13175376,906031926,16070399,-1960896994,-1996393202,-1962871538,-1996393714,-1962872050,520189710,17712327,-388592896,317395106,1560710966,110048769,-1892286219,-402590970,-13175460,-989766362,1149966708,1638086150,512505345,-13237917,-1962843874,-1556740028,-13237919,-1023319778,-162441386,134399238,633217141,71628545,259293184,180781910,-1191003713,-1477246972,-988908450,-97484,385475445,1583307039,512505539,2089419523,-1060143100,920643456,50411145,784655851,1059324174,18744890,638350069,1946175034,1858348550,-1980437736,-1945964498,-1023217146,-1320136361,370585604,21741319,1353341098,866828682,-947672128,-528066552,1355056810,-1934900341,1482271704,-1851026773,-1151348345,1472397643,145838161,-284294602,-1580799232,-12778711,-2089388545,202558,-1007091083,51846795,57989899,-1190003736,1139277825,-1947438575,184751894,-401902126,113705456,-65217,1048646635,267911955,512296050,-745864429,-353838286,1317676560,851574276,-5221907,638755560,100814475,53690052,281510743,-372129741,24357875,-1057071190,88442918,-498968313,20947416,-1178339264,548929540,-1431571680,50673291,-2086006608,1149962951,1150003990,-1031034092,-1413467221,-1159150677,1392144922,583710,-389849337,-93185363,-1612177642,-402361602,-389866887,1048576991,1963459269,19589123,503353064,53812878,-469096566,976630644,1946346278,189265452,906327048,53937918,118944651,-1191003713,-1494024181,-2144981132,1950351229,784605173,-2098724112,-339447040,243998541,238747967,74646313,53022345,48440890,243916916,-336002261,523012657,46474890,1946732022,147125769,-466433932,-58714901,-2084604920,1827147718,-167283709,-16588282,784642164,-1977220368,118882406,20947395,-1325318237,870372100,-773795374,1586177746,-521961470,-628362249,107604051,857115483,281182979,52877827,-1581055402,104530239,628359979,549684032,527620667,48963210,507167742,410125044,53288587,267975553,-75298957,-352161278,-1547437657,-1007156929,48963208,503398307,53690053,1107842443,105572383,-1511269581,475958054,376757003,267975553,520501362,-400656755,645071346,474400550,521535488,396607539,48996867,51618632,189172518,274107174,-190660053,353798402,396477187,1183393283,-619986148,521589876,51846793,71731750,-190660354,184543234,51592841,-617426037,48963208,-1995509528,-1023208170,10414160,911856010,46468744,259246219,-771095435,78644341,-1070414855,1950018553,906211372,46466806,169375000,1360558317,891194934,191859203,1963050486,36562947,-1341885351,852617989,-352079680,906080268,46466806,-121539568,521556163,-1187086180,91565570,-352210787,-1006199536,503514430,-1047853481,521431784,1488980487,45089908,-1006189575,1191380286,512644638,-208993483,-218100807,119496356,74907964,-1007108086,-1070349319,49652534,-989411786,-391375358,1131682082,1017962634,1315271738,374742606,1048589831,1946157306,10807301,417876083,-375376384,-969519104,59654,1493086696,15311414,-1259790498,-390057472,-1317927781,-119005418,516159498,-1185706,-30007458,-2147289594,1081344060,-402237922,1929838656,-383820283,1482162306,-756545770,-1010762217,-184091082,214206978,509619232,118902870,1476410856,-1293361037,1914658559,-1813467934,1320907800,-1981065698,855532520,118932416,855644351,243939017,-1494024169,-397538188,975575081,-227213499,-391330823,-126543770,-1191003713,317194249,1949187096,408217614,-1073084556,-492173964,-2084308499,548405953,521579251,-1006929432,-32315362,-397015521,-930474225,1602275712,1979136775,9103619,76174878,1048583958,1946157306,118883863,133909992,-1073082766,1583248501,518522646,-1010762217,-397343145,123337885,-982486433,-167562434,1947208519,1048589909,1946157289,-1932031215,-2145427496,1349779517,-91531490,344709262,-148119765,1364611155,-1962379777,-37558054,-390057382,1582894743,1049320280,-150797517,526376707,-1073085046,-1958273420,396421367,1692992373,-919449857,526369785,-1073085046,-141884300,-1057045511,1589845782,-1962636769,-104854793,-265370429,-1547685118,933364031,698566659,53191427,-1607053117,-789183803,371508514,1460061016,29053782,476047360,-1979463805,-989642466,637747766,639202697,639327628,370695560,-388287713,-947708863,1075743235,1010222339,1971922435,1569465881,1569203739,-971041256,82950,21300934,1600019201,1460060935,113660758,-973012668,83206,115923763,63406876,408783398,54533768,427148582,1010207030,512505347,-986315970,-1979513546,1959073884,1569203737,1971922456,1569465881,-1155590629,-823656447,63406875,408783398,54599304,427148582,1110870326,512505347,-986315964,-1979513546,1959073884,1569203737,1971922456,1569465881,-383838693,451477371,2027620867,70248452,-213990205,1086584320,-1007286412,842626052,11200960,-544530682,-1070345677,922355176,50673349,-1946585880,914797783,21905035,-2147432457,535300468,1023052563,-1948814335,1040398074,1995112797,1965081590,29619911,-1612119180,-1899983872,870288344,1371704274,-402652743,911866302,50673349,-400984891,703074725,-2035001351,1312721718,13104897,-401378176,912200402,22873799,20709377,-1070408332,912200427,22888067,505378049,1528729142,520456705,1493630774,113718785,334,1947876423,-536003580,535515058,222079660,80085877,-536200182,856126963,367454454,521535756,-1979823128,369160246,155093279,-1006013181,637732158,-1088920192,-1023132952,-1946255384,184610870,-2134805002,-2147341762,113706612,-8388054,-1168701871,-1998061014,1493655318,-2147341122,-1602938308,1336548016,-1847063888,-336186603,31713449,1702419210,639132648,638862729,-401189495,516097112,770187030,-208986114,440183889,1709704564,1492574741,-400572117,703331784,-219627469,918894328,786957061,-1260942344,1049310855,-940113586,158629888,-1961764376,1946238170,1570840539,87999489,651309827,-1961986569,66185416,1087078595,-370950093,-977040866,-1962872034,-1462619141,-1464765152,-1466927870,-1956154108,440369346,-1185850764,-1830289407,-986293768,-989657802,1189615988,-137697264,914863191,21905035,-2147432457,1944588660,-952738031,16866566,1946237952,1594485725,1564377910,477364225,117388866,507969881,1528729142,440238081,906589215,21890759,-1226702848,-383794549,-779354261,521598699,1726502662,-1962446311,63341559,123674374,104347331,-126746338,75090174,20881462,49259062,-200373565,-1997408766,-1979520218,-1947389240,33756438,14057684,51584651,53288585,719853795,-2116057339,1930426619,-1980505598,-1962726114,-388199721,-1070462699,-722989132,-108281078,139364902,256281126,-326441934,-1957670574,2156751,443832664,-236793853,-389051558,-1737228270,-301545930,-1243086846,1946237968,-1017461778,1720329809,1183458838,-402238719,585889622,1108112,-969479820,16969222,1007718376,-1007782911,1720329809,1183458838,-402238719,-645073051,-985784801,-1578626442,131698422,244004443,727646557,920254415,-1459532127,1354989568,-922876534,49259062,-1961343606,-167047563,-2135030155,242583808,119442486,-1994451453,167970110,839023040,-154998592,856257368,-335100215,-1017445374,1916862083,-1980354046,-1560080626,378077963,512426765,512295155,113640201,-973077780,191750,-419964277,1375936419,-419970165,-2084371621,1584726226,-1962729053,52404688,39750438,1316213563,430175223,488016131,651201283,-1576778206,-1047854357,89033254,378137299,-420019437,100911243,-763166477,-1592101888,-654901005,860356981,-1544095790,-420019441,49022662,-473396478,87999504,1569334787,113689368,855704300,87999689,-1581032701,-645201123,242532363,38152998,-668215049,-1023212429,597941043,868453123,1995908818,52929282,52762249,52631051,20828277,650867968,-1560131957,378077989,650314535,638600587,722623883,453189382,1912807710,185234718,991458496,-1962773567,-265370424,-6559742,51580555],3,[184933096,-385256247,-1326906959,12970240,51451529,51584649,52641411,-402426880,1048774177,1946157863,109832417,113696626,-1979645203,-1962743018,-1962727666,-402451682,1347880613,-182546861,-397323776,1515978245,-1977165309,-689438650,122013191,71645697,1429815669,960262664,930285661,359808,1347956340,1428902487,-1948584184,-1946645513,1317742274,65140482,281445368,906422737,16057998,24356339,1599735716,4622886,-402147864,-1317730398,1499012886,-2129730725,1930426619,-16731616,-352120570,52797826,292864011,-402447453,158467565,52233927,1860698112,87475205,50962691,103544971,-768409357,239897382,104591863,578028303,49022662,1959922433,-335100391,-903150846,-184119802,-1070361856,24373713,-1817447510,-930398201,-165216629,2029983813,51618068,493191462,153546752,295771461,1166616067,51093787,51189387,55117795,13796289,-478100671,1569203775,-265370600,-28841982,-1962729567,-486334186,-2084502664,-148504366,-661978506,24498699,1317676616,1357435653,1053034066,-1960443131,-1960439739,637997653,-1962772745,1959922632,463683585,-1547685117,832766767,-651470845,947150706,647219851,721577719,14320577,-763116797,-1960056064,72214728,-1209526045,856912645,-335100215,195100930,219581187,87999491,1575731971,17557904,561431083,799265331,823560451,624853763,292814851,52903555,-16092160,-956094714,206086,244013056,-588774637,320768259,286689539,1958882051,1369498400,1541982347,-1552787451,378259595,1229062929,-588774540,320768259,286689539,591299331,125042691,51584651,-1593558296,-1073020121,100754804,1860698905,-318323196,378142978,512426731,243991315,-1964506329,1380996868,1183458899,64588544,96725210,17253830,1963214138,139802898,1564020082,-955747576,16712773,-402271768,-529201730,-1909040549,-402590434,1532623843,199434006,117375154,-1226112239,-1577118487,-1073020123,597888884,67364867,52233927,-1192755200,87999491,53453059,53546635,74825739,141871371,272957734,307040550,51318411,-1946273815,1959398344,77115,637590147,637695735,-754626934,-389510168,484639459,1912893928,87999651,52404483,272992550,637739425,856835465,-31856183,-401604678,-504691470,-1006183629,637732158,639327625,639196551,1926529,-620034064,-773273740,650308356,1997364795,8579093,124992907,-754667183,-2114364945,370147303,-1269775585,268418944,1477178600,6482115,208876939,-754667183,-427730462,82509839,-268376447,898232843,859227446,88393219,1048589825,369099511,1355904031,-106868397,891194882,281445123,521544840,-82408624,114178,1458094130,859751685,88458755,281510657,2114135631,92821506,1532567318,113689432,1342178039,-1957539501,65589699,651310019,-150843765,1174611697,1380993286,852527953,114368,-989522712,-1929170122,1482231932,1006109530,-1976994367,-31517179,-1576863994,378077945,843186939,114368,-989532952,-1929170122,92934268,-90038506,49921794,-1956947622,1491653059,-1605181,-1610435584,451412719,49258507,-1326357528,1720329743,21734145,21825222,1309067009,637534209,-1575598454,503710040,637619131,118650565,384882664,1049298719,-940113586,-1183481856,-2044271566,-274720922,1495665154,1947564033,-989936895,18955973,1946436923,-2093103628,-193593345,-972845848,973145925,141886533,-16497209,61138944,1963168232,2126849770,71694098,242556928,45817622,-25958400,53690053,1426459883,557761846,84338689,-947714211,512505360,521535835,22625929,-1977215312,1268973926,1292289537,113705473,334,373721638,100751522,1996432926,1996432916,21740306,-402186402,369618988,1312721695,13104897,640775552,-988395894,973167926,326371908,921493224,22625989,138840614,258378278,385500553,-18401,474383654,650314101,-1021557111,922671849,855854241,378091218,602473292,-385765142,911272488,55445190,109983235,-92077659,-1174179066,-628424698,1793590867,1918574574,64523271,172995,-1205540008,-1031589632,-754667249,-468981270,-2043222990,167832102,113653476,1946157902,113653254,-402586802,-13179648,-1895717578,-1645669308,113126,1031862923,-2096925185,1166739399,592808737,1053034179,-1960443131,-478077603,-1960439809,-620029099,-903143820,-905770893,-1960390093,-486074019,-46405618,267976577,-544799373,-1007492542,-1018543865,51582603,48963210,-402579224,113640163,-1962867987,-1962735306,588155902,-1980169469,-1006433986,-2096942274,1040388295,113443613,-402521928,-1014169654,16057998,-24650866,24373713,128316324,859751734,274566403,-35065045,1983587841,-402427390,521536079,52011459,52011840,52102715,41353648,-402210766,512688010,-372178699,-207355533,-986314843,-972868834,-1929312953,-30732169,-74713205,637647848,1912763963,34465795,-154984682,-16585466,-341826188,650182146,1979991610,320768791,-117735165,-401444081,1049230441,117375763,11535121,-134026334,1388575171,1183458899,-1967063548,-1950209312,47569,50087144,13992136,762563131,994296970,1273853179,51584649,-1957506773,1727473345,154569474,-1547304189,1515717385,503437867,-396688623,-561315823,717892547,-1999831327,-1962743002,1372449738,89033254,-489469366,52876042,-1017574570,1031862923,-2096925185,28903367,541428224,-804498037,-789917216,-1964864808,-1023363370,-388287661,1049230281,1381696255,-1014279343,641979275,2114805307,81195,-1168430209,2078806015,-1054124032,6482010,650249026,-1241229686,-487112192,237750411,41353995,-1007040205,1962641640,-964802548,-75503469,-342686860,-1948612675,-73799486,-1327310709,-401604678,1499200399,-77338534,-2030034968,1979648991,1053034190,-478084347,-1993994241,-2128209571,-268427931,492636454,1381221127,-1948568745,-402456810,1516239707,-768359589,1962618088,-389575688,-130155701,1926793999,451462125,-117472773,-1946782961,921955295,18955973,-2000669872,1036322629,1979711363,1053112054,-1017642719,1962934147,125665530,-973835007,-1007555779,-399129594,520486920,-1022886261,1172854763,-2096249630,1299513337,119457164,557237558,8054785,-1992946571,906043662,19082889,1444812011,1709716677,1476686848,1593043800,-1995667169,1444807276,-24955707,1476687103,1593043800,-1942189793,-953810364,654311173,-16628281,-505747201,-504698685,-986314978,906043702,18955913,587631670,898180609,39685158,885347870,1946162152,-346531836,-954245389,-939524348,-64956,-147077141,1381090933,-1030956660,1499122235,-1544145981,-1977220355,1053098054,-8191673,990672127,125110357,1963214138,913304322,18955973,1963480379,71645703,1240138357,-8176187,921531903,18955973,106254934,117480424,912153181,50136822,-1927776769,28905565,1381455360,91551243,-336277528,-185866237,-1990303910,1837697109,239438860,-1977162702,1166606406,112644,141882891,138840614,258378278,-401980023,-1942552876,906179870,21569164,1049173782,1049166643,-977075897,-1274994370,73742591,-533059980,1161430388,-2145553148,1946158461,1979666455,1763332,920924760,21169722,-5242251,1476674953,-8176187,382629375,-4668641,71665408,-176881860,-243997686,1124481590,-991267839,1569524845,139823888,-1979036277,-1964166459,1347508197,1392509369,-194647982,1498962778,-287125501,521585503,-1593096984,512426297,-1847066313,106727904,-1995981819,-1607072700,-1329397443,-1125547521,-2095615481,309819385,242546186,175428106,1997340288,-400615931,381881240,185067551,-1981785112,1284048468,-1010814460,-41877584,-2131201256,-210551559,1933377152,1694138606,1381099891,-1380245738,440578,-1031024077,-348592045,372688158,-357898239,1592285983,-1324970005,-1358524670,372688130,-359208959,-389824462,-437715814,-402199568,350813330,88400882,-763166719,-398660864,-840369413,-400233488,-51840269,-400757775,-1108804882,-402199568,-320275738,-539825935,-486257527,66822,637588099,639714697,170087816,637826294,-1960544888,645866696,-2145368696,-506363679,-980757807,-1993940342,-1607070651,-389872916,-5241275,48538166,-1607011214,522453701,309665596,-1342174279,45727551,108375795,-486095306,1944584194,1929359595,2028210897,-265370419,-484013566,1053105666,-164232397,16958726,1207306613,57934091,907864863,48498374,88458752,-1960343551,-620028132,992348532,58133854,-386105368,2045307863,-390171669,-459275942,-1981168894,96987136,-964429710,46579461,1913001704,-351475475,-469047182,-1178672008,47431426,-218100295,45727652,-1191000386,1017905163,503870783,53812878,-1440807030,1206903363,-401209914,1064561022,922730547,-622329537,863197418,49295044,-1947504152,889622267,45727235,-218100807,859736996,1170613763,118882565,-1090333762,230228665,-391843072,-1586238740,-402600471,-5242678,-360781629,1347876978,-469057486,-274724744,891194882,866795523,197624768,-1417629525,-1513059411,-129725531,-163279957,-1973528405,-1438643004,-1031067784,-1070378837,-1968547669,646592196,-1320090857,182768132,-1590252860,78709527,-1973821229,-1070355772,17221059,-1943622909,-1946948835,-12746502,-947715211,407238151,-396593728,1517421760,-225763758,-1323410293,1407963908,-1998053610,1843944439,-368318229,1047682823,53681861,552684672,424512294,-1960440695,1418268757,1435182594,72648978,341150502,654201993,-1995025013,1204223060,521535749,49295044,4622886,855419112,-5192768,73656515,-1178654350,768258,-1359855696,-969532044,-16588282,-1612177838,-265370391,-401181950,91416801,-336970264,-346415303,1493654221,-351907502,183662052,511080676,53690053,1972046987,451092232,223230758,-550824841,-645179821,1526378472,-1595359182,503536635,116785971,1946682053,926842887,-1183514621,53806734,-1178666101,375042,-1599736924,-1314258235,-205507835,128903339,-1416451182,-1420312525,915123115,-970587341,-1006566076,637726766,1342195338,-67901357,-1973528485,1594357984,922644969,21053056,-1023314943,508757585,235343446,-959892705,83983622,24839878,2114881806,24886017,18495173,921132008,25036535,779420160,25731126,678757180,2097595958,-969538559,369195782,-2012313546,243873281,910229886,26021513,1592208360,1493654303,-1070438421,123412318,272417625,54281588,-1664925324,1161723958,175374337,1111392310,41222145,-1013110579,-388287661,1918627708,-402541322,-613096003,-831188164,-1293360078,906619877,15603446,-3675965,-1561853516,1408660709,1374214963,-881697809,-1830230990,1947221221,1963146462,-402411297,1676149840,-2145446395,83006,837288820,646707948,378405605,-236453145,113651419,771752257,21104326,646524416,600638282,48735022,992893084,1963149862,-408867321,-622860030,1244562222,992870915,1946372646,1275115531,-368654802,-437518592,-1892770480,1929570054,1458236376,245328,1491038952,-819737250,-1224307658,780744194,-2125069643,-1946091545,5761245,-2120760482,-2097086489,175440127,1183458896,1134704128,-1054124031,642961411,1510106871,-466429949,106314534,-989982094,274086694,-989984142,190200614,-989986190,171369680,637726246,905987722,45549196,-1255241418,1992566274,918916114,21118592,911045888,48834185,922355478,21104382,1091501622,378418689,-1960443161,-855448282,646522404,-1943665947,-1945966826,919899844,48834187,1090977334,113653249,-83885758,-1255226314,1946303490,113653259,-1006698173,-320094158,1048583958,1946157380,-352393213,55445190,-1524724222,581967361,920568040,45549196,-1256289994,512439810,-611450459,1493178017,578077499,511039803,1048589904],4,[1946354510,-487659504,-1962928967,-397717031,-497481641,110049014,521011621,-2031550544,113703673,-973078207,-16694522,27598478,3151502,3024523,1490706408,45635672,-13741838,771929910,45430527,-969486341,60166,44618290,-970587019,-1186529275,78118920,1948299411,871957252,-1314196535,147060227,-117242764,-1426863821,-2085901423,-1007283985,-402033663,1961361523,1174697217,-402625816,376832329,1966750848,1076643345,976619382,1979784710,-1426083326,1196314438,-402650951,1015021587,1174893870,-402652231,-1031143411,1324942275,18081987,-397478026,594673933,-164230027,-16717050,540809588,-337439371,1965702217,-213929980,1060940458,-897524363,-1327961343,1319826208,552119491,1325036545,113653443,369164523,45727495,-1189040041,-1426915317,-796213198,1015046058,-1534233298,16836780,-1073080972,775688564,-1398141835,1946218984,1958742534,1313754626,-1195130830,-1044439008,866822914,702912,-391468045,-809565204,-1834249726,-1178889301,855083778,29344704,855829248,113719039,-452984094,917303947,839049634,1979661540,130188042,-1979267453,-391315612,-713888689,1347834398,-1090054569,686293689,393371392,326500107,-1142415594,-401837085,-969477485,369280262,1491480040,-987330506,526016002,-1178663146,540835842,-1181059847,250085387,1963684352,-115327995,-492139659,-1396442895,1631354660,2050754162,539755127,-294375876,-361487812,1946169832,1952136421,1952267489,1949973725,1950104793,1954299093,1950235857,1948990669,1950170313,1950039237,1949056193,1946762429,-1021297479,-76271812,12803132,1396395328,1027423804,1095912255,-768225215,1731677750,1412905526,204921142,37150519,-466164681,-399026634,-397410096,-1017643004,540852874,2134655858,-30014092,503376902,117323350,-2143944462,50393638,-397408907,-396821562,526310311,-301533642,-814416128,-1151984045,837287937,-166956309,1954551876,310022,-339509781,1947024509,1946696736,1963539494,-325044550,-151516160,-930459176,132317365,-1712840528,1509548799,113653443,-352321300,915139482,15470334,540840427,154989427,-1336873100,-8984482,-398455720,-389808272,62651218,-355538944,65795186,-1258606360,-519313407,-466422156,-1008663320,244563,-1152187157,-1031143420,-81205168,-397009320,526310189,1444856667,1962613224,-387697925,526311645,-1393390653,-126606276,-335601688,-1898935050,854756288,-1073041939,-594876812,-1019544182,947914102,-1979550707,1255181021,15507510,15573558,27967318,-131168202,-1963095550,-5314315,58001980,1023387624,922317830,880739898,2134653044,138161012,222046068,171720820,456941684,-231054732,-22406797,-13440826,-130121674,-864747518,-931923142,-339214778,-1336349757,-23140345,1642642155,1460515327,-231440193,-506372178,-1493177973,-391498611,-2006974844,-956366987,-611531380,-577846386,-1979602242,-1012599858,1776815536,-385175298,-202834332,-8590849,1508400304,-404201730,-308267265,-22419456,184503785,-401509130,-1977221038,1931492357,1946762247,4712469,-130121674,125108226,57999114,-380710914,1331167042,-1328641283,129192736,1991118563,2105550345,158599425,-220017666,-316790218,48114176,132219083,1952406524,518339,-1125385246,-1336946946,-34936824,-437772112,-385306371,-1607008800,434713727,717982463,-402134065,48955444,-969539151,194566,259322426,192215866,904440492,-20447490,-370679098,-80019762,-939591308,-20649658,50333672,-369556751,1642659514,717982462,1226273999,503714932,-24422649,1605300807,-167283449,717947601,-379730993,1085341334,1610445800,-400685481,119537390,-371291554,-164167924,-385681386,447807098,-385968151,11598138,-15936652,861032643,-391190309,78906738,1524560104,1021348440,1007907841,1007645702,1007383559,1007121416,-1341950966,-369442048,106026184,117448936,-506404400,-506338863,-288300591,-779366902,-1325320031,-773795324,101341664,1455620407,44940115,855639737,-389903406,-987832234,-402581962,1528815560,44933470,45026955,45160075,20645435,909984372,-1556253781,1364590907,-1177406638,-235469387,-523116335,-930357039,-402550338,-372178909,-1031732109,619184328,-1107185408,283640217,940476416,378028545,-1830289097,1582914048,-1409239869,359845947,-348008405,957253878,63043073,41229488,-1700609794,-253181183,-1144616193,987169176,1929359554,-2234252,20387465,-372119087,-1962560072,-1964902438,-2147403506,-1849818143,-774862079,5433569,-1715548278,1239959809,1238075904,-1550659325,1398145339,44940112,855639737,1405258706,517965288,18233029,534706152,-542381989,44893839,372688158,-555292671,-1587651809,-768409285,1073743801,-1997408448,838941974,11846592,61668323,-1006902576,-1957277360,16759282,-1073085301,-58709644,-2147060422,1946157692,-1073042402,1060910708,708582004,2145916532,-470911493,-1073042422,1944587892,1105425915,485214475,-638858957,-24907221,-2096270334,-344652546,2088825483,-478856703,24496395,1482252025,-6231869,-225768078,1944195048,167948531,-1342016055,1355020547,922726481,27592334,-1191176001,-1359871980,1325561337,-1017619976,306103376,-31999,723918452,92013637,-348273626,1157834480,683365124,1541666304,50333189,32241912,1354979577,1912618984,92940023,-260767940,-1008147406,1407904767,516175441,-164429550,1962933123,442136,72321830,3768358,-947712396,-186497496,-350239706,65796579,1509489411,-75250853,-1911852268,-1962826490,415728635,-1007041544,-469318090,37486603,212862326,920124393,198581900,378085142,-660468780,-12064757,78644339,109897451,1049168859,-1897395239,-1980796161,-1995711178,-1945379010,504094982,198448837,536808168,-655687053,53806734,199435912,1971373302,1200236068,1947248651,-351948796,1963501797,1946265848,-465666030,192217099,198721152,-337218304,-1190717950,-1957298165,-549549069,-1912201717,520872198,638281610,-2096994936,-1527577401,1053056543,-947713057,-484013565,-201791477,1053040406,-31061025,198746117,21334054,-1993949133,-1993989051,641738309,-1005501047,-1593059010,-2010772515,418349829,602523531,-400615721,91488012,568919728,92939991,-193659076,-16398810,-2014780366,115962622,-1928462817,1173750613,393592859,-402491905,911997132,46472840,1022625256,-1341884929,-339219710,-30545735,-169147789,-986313868,-167562434,1946225479,-351948796,-452475155,17122758,-2116514899,370147299,-402426849,-1977159884,-957874106,-389485584,74710426,-672463952,521543250,48367303,378332671,113705735,174588677,-1047858549,-2013142656,520872974,-549132258,-1073063393,54265972,95421556,45141227,922644457,199689868,-383874762,110048779,-1003090971,100725534,922695251,719850469,378091008,-1942617869,906032414,199689870,-383874250,-1892236533,906749190,15926927,-184119498,922695168,1371737061,-754667182,64589034,1524207306,1041025,-1561803943,3926271,-2144990862,1963000189,-402280441,-1997799484,-386841368,1150013732,244004356,1284049899,-5314556,-388636183,250150773,651981312,97664,652792692,383314929,-351368929,-42997749,243992240,1435306987,-1021377021,451419926,102265597,-44570537,326246238,-1979318746,76027975,-1961300349,-1330254906,-1331959036,-2013598970,-397323303,521600615,1911053145,1943635965,-351883058,1912814824,-352210940,-400615690,520551705,1173810034,108298267,-768360397,-922872085,-922873988,-2020467076,323290065,-350923501,-779644413,-1994111607,1911039573,106203600,-1645542263,64063378,1427317829,1021700902,-1341884927,1924197121,-2116449522,1962924259,-351948794,1375529968,-60692400,-177055398,859751478,169809411,638940370,-670341248,189728806,88458790,-385896447,-1293160695,-1977169613,367528783,72124880,-561188629,54271766,-397259145,1935342717,-351883260,1929526452,637549618,1947944330,1962281490,-351424508,1954588906,1434986067,852355867,1954588900,2110006792,1703552540,-808523771,1418317963,652667654,-2145696266,-1004130700,1240145021,-922826498,678822716,69992884,62129780,343263486,-491853744,-401509800,-527771407,41287600,-907296514,-1544879696,-85260880,1448104529,-1595358326,-402099486,-1004082945,1593315966,1918458456,1173825251,1950351364,-20381993,-972589880,201418502,113640939,-1207762585,1705181206,-1547685119,1923219816,1997441281,1930856705,1966508289,-1960901119,-1157163273,-1175977627,2007054041,513272577,-118991277,1979661521,1482184711,-1897197648,38047583,240945499,478053158,1393391103,113653335,-401210683,1533008934,520549771,2089010062,74776604,1983686,-1189165437,-1431568320,-85934070,37532651,28312690,521583851,1945849064,-351883260,1975519987,1300964883,1435182617,-826349545,-1996206967,-722794924,424511782,391481638,459636774,921693119,200087177,-283210698,1049179659,-1942615055,-401870074,41155247,712293867,891194934,410517251,-15042561,2013208183,376962844,906721279,49231615,-248068810,-593565685,-2096663976,95423684,976670443,1946349318,214205191,-253029968,-248068810,911235083,48367303,-1942559233,906168086,50661063,-941094296,919368411,53688005,189237336,-1894365297,1200561223,440897310,-971487345,906036548,200095429,920404968,53688005,-958068794,369165636,-385896417,-1008079647,-105584430,74712691,-1695874384,911340171,15271678,-502872266,-387645438,911858704,46468744,313525363,-1909006101,-1979501282,-991425681,906851549,20920063,387877686,10545411,-213990346,-979356160,-1607030270,-1180040465,-1101856757,371065529,530903839,20947254,-257870165,-1590252798,917177074,-1425860703,-1442101366,-1424603253,-1424472181,-1424210037,-1424078965,571742,540846764,24509152,-2131688625,259268668,-1180029264,-1431568381,-85974980,844038517,334080704,918894290,-695533325,-504867262,91447027,166269616,222596050,185560260,-1947109184,344593244,-988379082,-1992929278,906162222,49415820,1490713576,53151431,-1276575745,-648877863,-53783,33554431,1006698496,2097152256,-1912546494,947209478,-402032898,1927807155,256256,117452520,-2134679969,24445181,16351427,-389873291,1465254098,1158057478,1994012789,9037833,-385857304,82313219,1583286016,1409742531,242516085,-335291718,-76216152,-658889296,-1979912701,-394965490,1911029885,1392967168,1359412853,1309576053,1976434293,1409742566,108298357,-658888272,-154931709,-2139794426,-625340812,145288195,632355701,-301737798,1309575677,4188277,-33541144,-25865458,-1955245810,-25866738,-152668723,-2139794426,699401844,-301737798,-20250173,-1983119665,24465438,-19988790,1377208778,-1910586507,-210418402,-1950146651,-394964962,915144054,512456007,1810396498,1195281405,1309576053,-1023363723,1968049801,1968184969,1968313993,1426507715,-385548171,113704966,302019925,-424234758,1426492227,-1975327115,-465377596,216042081,-77470205,12126131,-16850416,-1963493941,-1016994108,138891,1461619019,216580981,47616,11993780,550310093,1799862723,-242488879,-67043137,12821747,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,131072,33554688,589888,84017504,1879293184,2097216512,56130,0,0,0,0,0],5,[0,0,0,0,-385875968,1861,0,0,0,0,106758144,66011,16777218,4194816,20578311,-1124072703,-33525757,-256,255,29688234,17957317,17957138,33227004,17957410,40043099,38077027,17957138,16515346,16253801,17957138,51118860,17957138,16515346,16253193,1179922,0,688878925,0,0,0,268500991,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14368783,16777217,65543,14369405,587205097,808464432,-2144325584,-661731188,-1064382322,1922041484,-1133829400,646542236,-35097970,8382567,-402602264,646668259,-1998032242,7333888,-395754520,512444074,-472812201,-1148232311,-1014794916,-754667249,31100139,-1981558317,-957836963,-1325288125,1113778177,-391225975,108215989,-380186136,-1779892230,-2074244286,1124075462,-1342175290,1510533129,1166558128,-2013155168,1149775428,1304623,-385874968,1424498244,1903213312,1903042185,-1104629527,-440439539,709150316,725927679,312896,-2147400506,-1157582653,-1447400347,2091008,-1167258181,384303175,1834203904,-402345542,512425997,1555723607,432015477,-1999403053,-162905337,-143359802,-2013220669,-2005689338,-2005689082,-395016698,48848254,1569843202,109576368,-1983679587,-1334598626,-1559852801,-2036350093,-528068384,1969074920,-528066555,1381221278,-396929455,-2098700875,-402426787,1583284660,1482381913,-1012998010,-385874968,-2036400108,-528068384,109576368,-2041023586,-389832992,1364394409,1493173992,-1455060389,-5314365,1939670666,141869064,-1342081048,11004187,1939736202,74760200,-1012316790,1939867274,1939932808,863289352,1954940554,109766794,-398954108,11537266,1939867272,401149360,-2079946240,-1245148559,1904589568,-1040266495,109625738,126513540,-1979687703,141794310,-385649472,1173749988,57966776,-1156217368,662729638,1557391487,99092596,-384061439,2028470325,-1978174627,141795846,-401835840,417857873,-1123732403,0,0,0,268443853,-1352623616,60749078,43582772,201786676,87294171,65793,-254,-1,-1,-1,21626880,1332,0,0,0,0,0,0,0,13312461,0,0,538976256,538976288,538976288,0,538976256,538976288,538976288,0,0,3328,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,753129,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,855641319,16711680,23594496,256,216465408,262604107,100724806,80157184,87294501,186403584,743376180,16777472,212860928,42730804,-230292172,1951136896,788475397,503712683,1381390165,777016145,196417164,-1289320146,375066123,1958951768,-1126986235,-4521600,-850873089,1509654817,-1267699200,1914817864,920126314,157752969,5892993,-1323398858,-1262449141,237096265,7727135,196548155,968506484,1023457289,1064444365,-1061496693,1891795216,-1194773714,567099904,-1878700359,196157070,567099316,-851528624,-108963551,393545038,905984744,196548155,-969536139,602630,-1356923082,907209483,196294341,525511,-1659472641,1150262521,378418710,-1959916619,1477161766,1582979419,119496031,-1909580081,-1190416098,865076558,73853430,1024007610,410255362,1946158397,144685587,1946159165,144030219,1946159933,143178243,-1259856114,-1944851709,-1127117111,567083392,1303694962,-1557257779,99158380,-930284799,229955726,116859341,-63181,-315415179,158795462,1996932608,1048772618,1946159475,1929824006,-2130706679,617278,166265717,-389285631,1908015604,56485896,-854851144,1012868129,1008170062,-1897171623,-1274465530,-954086071,602886,1845937664,-219676407,-1163138302,521013487,-2147275032,619070,1048776564,1962936691,150321672,-352118040,151763710,-2147282200,619070,382015093,565709739,773967141,772353185,-1207953757,567102464,113712910,2419,196937358,567101876,153755275,567103668,-2146866015,617278,-1070398859,158009030,640614145,110046729,-1892808410,1476995078,-2134964466,4241664,1370793459,-1993465395,-1274467810,-842298288,113716769,8456563,1795606062,-2144468727,617278,-4509580,-850873089,1895530785,-385649917,1219821385,-143515187,1795606062,-1557266423,-670889027,1730054446,1357611273,512306691,-930346653,-2135109490,-388461055,-315424589,-2013265992,1024029958,74776575,567094964,158547587,-385649153,-840368347,-28710910,196548155,-1427633803,1763064578,-971017207,17379846,-402502168,373030447,158665655,990023912,1946773782,41936901,12118507,-2011050697,-2146713834,91566074,197134022,839304796,-1178730487,748601099,157484686,571900,1738647027,172809,157363967,-889191960,1975519824,-853953530,1405156897,298702986,-1060060976,41222948,-1057046274,1985730618,-339736060,1488990978,125123,-1948568629,-1962316018,973084694,-1274514230,-2011050690,1124079630,141880890,567099060,1650312,-1190870141,1051983887,-498916915,1394525177,-850283440,-1579446751,-1557266408,446695728,-1545565696,1532493848,519815967,1347507974,1150016910,646458884,118360079,-1190676545,-964493304,1487205130,-402170023,521076672,19327058,-1572797350,-990509140,-167086976,-2146955514,-1192688779,127122944,1946273014,127385091,127837101,127968173,16770945,1980563331,835331,154025609,-1114904623,-91814169,-1174346008,-521664613,252114432,158629896,-1274564678,-350106359,128301586,-2147431704,602686,2062026100,-1166873856,-1192753159,201439232,-1377295923,-1272968192,1953053696,1019543107,-29526926,1969306820,-2033044514,168458006,-2096270126,619326,113706612,-63117,154025603,-2096663552,34156094,113644149,-2097149577,619326,113706612,-63117,-678706038,520100072,135314127,-1174382872,1357383589,-352145408,1894635,519956457,1370771539,815866317,-1545892343,1532493848,-1128611041,-50665208,-1610076742,1474824549,-386959874,1035599903,1698594824,57999369,-402111046,1387921423,649224,-854849608,-1380269279,1381191687,-1393390762,1014965328,1008038448,739342137,-523134928,50790843,-401110056,116129759,45404298,-1470619187,1591243904,-1017619622,154778181,-851640136,1024488225,108331012,-385294406,-2014774140,-1947866113,281066200,12110131,1914817858,868137232,1662946846,16824841,567099316,1052023839,1922900429,-1090944762,-1162316749,1458047008,514976767,157490830,-1191116610,-772003322,-1378733079,-69021693,-1631927521,623032323,-1715854899,623097858,-491118131,623163396,365109709,705110535,1057436423,1376207623,1644647943,2047308295,-1895332601,-1039684345,-905497849,-603466233,-402136825,-217584377,1769101063,1881171316,1702129522,1631777891,1853169764,1867445353,1701978228,1123640417,1663067233,1634561391,1151362158,1122071649,1663067233,543976545,1836216166,1700000865,1867443045,1329868142,1768169555,1699998579,1919906915,1953459744,1970234912,1867441262,1885433888,1918366309,543519849,1819631974,1634030324,1634082916,1156869237,1928033129,2003067237,544500082,1920415077,1852404841,1919164647,543520361,545918273,1769366884,2123107,0,218103808,1126179850,1095585103,1629537358,1668246636,1869182049,1713414254,-1603965847,1919906418,1851868064,-1602982034,1919905125,1633820921,1239966580,1919251310,1868710388,539784306,1920230738,1226845305,1919905383,10501989,1818838576,1635005285,543517794,-1402707614,1986939184,1684630625,1329802801,825831501,1297040174,1936286752,1852383339,1769104544,1092642166,1717920928,1953264993,1769104416,1630594422,1931502702,1802072692,1851859045,1701519481,1752637561,1914728037,2036621669,1700016304,1852403058,946173025,1651468832,794372128,-1606473394,1128618053,1767990816,1701999980,1765098928,1480925294,1353724997,1919381362,1948282209,1646292847,1948280681,1768300655,1852383348,-1338544864,1684095536,544370464,1936943469,543649385,1835888451,543452769,1702129225,1701998706,821192052,1713401678,879060338,1684955496,821257580,1697855309,1815490741,828662127,2037588012,1835365491,1818322976,820274548,1635021622,741438578,1769497888,1735289204,1919890096,1835101748,45157,0,1332,0,0,1547321600,1296912195,776228417,5066563,0,0,0,0,0,0,-1342100480,268,25947664,16842752,65537,16776960,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16711680,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,623852127,1162889552,606350897,979304484,1229989167,775046480,2368548,185207548,8390130,6030644,7079220,1332,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-16777216,56075,1745856256,503657473,872714637,788921605,872579932,872702981,5,0,168113229,0,0,0,1213481296,1329791037,1162892109,977354051,1297040220,1145979213,1297040174,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,33947725,13108480,-1593066077,512491522,1213481296,1329791037,1162892109,977354051,1297040220,1145979213,1297040174,-65536,393306,-1930898678,-1547566118,12061468],6,[268443853,-1610573312,42792460,43582772,81921332,87295284,65793,-254,-1,-1,-1,1937638909,1536,0,0,0,0,0,0,0,13312461,0,0,538976256,538976288,538976288,0,538976256,538976288,538976288,0,0,3328,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,587205097,808464432,-2144325584,-661731188,-1064382322,1922041484,-1133829400,646542236,-35097970,8382567,-402602264,646668259,-1998032242,7333888,-395754520,512444074,-472812201,-1148232311,-1014794916,-754667249,31100139,-1981558317,-957836963,-1325288125,1113778177,-391225975,108215989,-380186136,-1779892230,-2074244286,1124075462,-1342175290,1510533129,1166558128,-2013155168,1149775428,1304623,-385874968,1424498244,1903213312,1903042185,-1104629527,-440439539,709150316,725927679,312896,-2147400506,-1157582653,-1447400347,2091008,-1167258181,384303175,1834203904,-402345542,512425997,1555723607,432015477,-1999403053,-162905337,-143359802,-2013220669,-2005689338,-2005689082,-395016698,48848254,1569843202,109576368,-1983679587,-1334598626,-1559852801,-2036350093,-528068384,1969074920,-528066555,1381221278,-396929455,-2098700875,-402426787,1583284660,1482381913,-1012998010,-385874968,-2036400108,-528068384,109576368,-2041023586,-389832992,1364394409,1493173992,-1455060389,-5314365,1939670666,141869064,-1342081048,11004187,1939736202,74760200,-1012316790,1939867274,1939932808,863289352,1954940554,109766794,-398954108,11537266,1939867272,401149360,-2079946240,-1245148559,1904589568,-1040266495,109625738,126513540,-1979687703,141794310,-385649472,1173749988,57966776,-1156217368,662729638,1557391487,99092596,-384061439,2028470325,-1978174627,141795846,-401835840,417857873,1940044546,-377483392,109641687,-980782177,-2139905349,-2036367577,-528068384,1483111912,-392241018,109707285,-1073187933,1166673524,125097,-1541502013,-1964769421,-2004832024,-1972134394,620736965,-528048257,-1964997040,141795078,1477080256,-375463802,82378788,-528066560,1963474078,1008447490,1007055425,-1325238438,1915763713,2000239622,-385699582,-1152319468,11862961,121243057,-526564452,41245177,1166540977,-1455060824,192045372,125270588,539754929,-1968618104,-1438283583,50397891,-18348540,-1339460261,-1488615424,1939801736,1918851048,1954489353,-11278077,54264752,11534965,-391690872,-1648665654,-2146467725,-1325501207,-1643739136,109757299,-1073187939,-389873292,-1410858998,1939716955,-1015017600,-395837464,11534759,-2002631288,-2005687546,-2005687802,-395076090,109731017,-1073187940,11540852,1939605128,1935551976,-1964471794,-1073174715,-980810379,-1012447864,-2136846976,-2136781440,-2139906885,-389840881,12281162,1694623746,-1984668277,-1972131810,-393562555,-399999568,1940784776,-2017767620,-1996000403,-378295778,1166671913,2025851066,-1979026420,16824016,-1474393645,-1325353613,-1474393265,432015475,-1440839221,-2008043405,-1955353082,-1972130786,1979661511,-1440838898,-1375303053,1705175155,-1962923543,-1955353570,141797902,1405819328,512476042,-1981254742,-1375303067,-936879757,1940784776,1940659851,-1016759064,1399100904,1954940554,427343880,-393603212,-668446544,74901560,1954940554,-395213381,1944610132,1019710052,-402426622,-396663343,1760126019,-1421505948,276348936,1954940554,91799560,1441268596,256356,-127643672,-1169847613,276348936,-662040972,-2017853257,-1982660243,-1015829474,1018578314,-1962380163,512341085,-1144818772,512360447,-1144818772,-2017825400,8173933,-2014083172,-1527513862,-91753593,-1236926819,1018840458,-33131265,99203661,-2005094400,512473669,-947227732,91553596,-1407284917,-1598307469,-2146467725,-2139905605,11567119,1904477832,-2013220669,-2005688314,-1015832314,-1593406728,2042628211,-1245447935,-1157582838,126383073,1976434243,-2036349959,-528068384,-1156926127,-340102175,-1961915789,4623082,-1047918712,1183378059,-29211904,1508537805,-1629452712,1944173507,1942625929,109579440,-389844020,74579975,-117460760,-871986493,1975519347,-2005749752,-109814266,-903967805,702835,-889074943,-1949071541,24365598,-903968309,109726579,221017036,179427574,-2014083172,-1527513606,-91753593,1976106653,-871986451,-2000093581,-126628858,-9770813,1942750858,930548540,-654963668,-1166805573,179925995,-209216512,-201524601,-2014083164,-922837510,512486517,179925962,432015360,-903968309,-871986573,-2000617869,-1015821306,1942750858,141822780,109605552,-1007062042,1323877368,-988673,209305608,132700406,-1996509184,-1015813882,1356891807,854122630,-528066305,-528048226,-1243576752,1919171584,-26989562,-1997113915,-1972116218,-435779387,-2013089677,-395056634,-2041052608,-389832992,-2036400095,-528068384,-160175685,41189383,-2036344586,-528068384,1509901032,-1629452712,-1966881398,141813254,-134056512,-368670013,1929460851,-134172668,-1979025981,1014228486,-134057116,-110841661,-368670013,1975519347,-435779056,1975519347,32110596,803862784,1963015168,-435779064,602536051,1963080704,-435779042,1929591923,128629522,11980938,109761281,117601253,-117440023,-117440023,1356891807,-991371130,-528066306,1677771678,-843448120,256371,-1150036038,179925985,-209216512,-201524601,-2014083164,-1144807942,65631181,1943517952,-29890477,1944173147,-1677718855,-91753593,-2019232772,-1644525581,85584067,1944454794,58048520,-1963036951,141815814,-385649216,109772390,-393579532,1944716938,57796648,2030427113,-388434427,104660408,-1628896398,-528048384,-1142913456,11891691,-889075574,745794490,-1965492730,-1677675064,-91753593,-2019232772,-1644525581,-1629452712,11593866,158911998,1183378059,-202817024,-385447169,-1966568845,812905222,-2134837560,1525163893,-1964340480,117571654,1681704960,1680607090,48824753,-1962888960,4622570,-838974909,719970165,9299968,904397683,2877693,1183509131,671558144,67598792,-385765020,11599874,1183378059,-29211904,-387877427,-1545011072,17492221,-1241571607,-1174359800,-340036639,109757299,-393579543,1945306762,24438840,-2134509885,82315124,-184454144,-268006717,-1964471693,141813254,939947456,233423848,147163648,-1979222592,947119622,109757416,-2144570380,109766794,-2144570390,24438840,1944500931,-1250692933,2043543046,-1010812925,1183509131,-1677248000,1956465482,109757420,-1073187862,-1057617031,-385649344,149488781,1086387712,1407779700,1944632317,126486709,57982984,1258293481,-227160578,-1979421463,1963338949,-393559295,1944716938,109635584,-973704214,-1188858496,-1073217531,-507852007,-1677151885,-91753593,-2019232772,-1644525581,-1996488517,-378280162,-424017885,80054899,-1245148666,-209216512,-201459065,-2014083164,103587322,797496199,1975582283,109757433,-1073187866,109709940,-2144046103,1944651400,52291779,1929309160,-69015549,-386107927,-571997425,-402426882,1743387604,50456828,-386396184,109707907,-393579542,1945372298,109635584,-1296337975,1944828531,1381172917,-1964340399,-1073217466,-930471564,-1250696774,1364349702,1183509131,149457408,-402426688,1515782235,-29146533,1508275661,1128422234,-898249218,-386134552,-1078199451,-1978747533,1958742023,583939,1976434251,57403890,1942554250,204269568,1944716936,-1317804358,-209216506,-1526859129,-91753593,-1047880375,-311050232,1942488714,1944651400,12276675,-1227519488,1944702976,-1965883124,2019830979,-1966604796,-790441768,750947030,-33261468,-1966044474,1975519425,1540589532,-805304438,74605628,-956406740,-1975318648,1022361607,738685540,-385763740,11927554,-1975318648,1975519430,149472230,-149493758,1944454794,58048520,-1979522071,141815814,-385649216,1961425743,-368670207,-1964471693,678687750,-922318616,1945221747,-1183584069,-2019819514,-33912845,-209214221,-1331823993,-351893504,-1257787021,1944173320,126484662,-268377904,124937276,28730412,-1241513239,1124567040,-428487170,-613037570,1944585866,611696648,-1166809157,129594344,-209216512,-201459065,-2014083164,109616634,109736929,-1057066039,1942554248,-1988889925,-1334595810,-1324972024,1941551987,1364396213,-1166810693,146371514,-209216512,-201524601,-2014083164,-2135319046,-1044754176,-1356952717,-1324971405,-387413389,192413015,146901593,1374194408,-1157597976,146109377,-1073217359,41093002,-388996092,-28637304,1508996557,-372193910,512476021,-1991543889,-1150046434,268334001,126376793,1976434251,1941093265,-1183587910,-2019819512,-50690061,-209214221,-1969358201,745785606,-368670718,-27465613,-1963163416,1014228486,739209828,-435779484,-2013155213,-395057402,-1161560852,-1027902485,-1324971405,-1979665037,432015560,-1310160181,-1964340480,120193094,125421608,28402692,-1325399319,-1997894912,1111687238,-512373250,-385447229,-1964471693,812905222,-939095832,1941093235,11540149,-29161592,-1007061555,504629760,1178350120,-1973134768,1014221830,-402296308,-1007027720,109757432,205288396,-370669966,1042937,1944454794,1929439464,-2000422910,1534322182,109757433,205288396,-907540878,977401,1944454794,1912647400,109626113,-111447066,-871986493,1913338995,1913404432,-106502141,109605552,904492006,9955328,109710707,-1696042000,-1023315200,-2013258519,-1972115962,-395055098,124977289,1944454794,1006635241,-1979419279,-2005670394,-395055098,-111412973,-871986493,1913338995,1913404432,-111745021,109605552,971600870,-435779072,3532915,109710706,753431536,-1023315456,-2013258519,-1972115962,-395055098,124911643,1944454794,1006635241,-1979419279,-2005670394,-395055098,-111413057,1920154819,1019475970,-1342016656,-1966868110,-395057658,109576197,1019442150,-1625853328,-2041519994,1920154848,-528066551,-378359650,-2041053180,-1329357088,-1156926208,126383073,1976434243,-1075264519,-126555656,-1963012120,745794054,2044261893,104645377,-1159134350,-1979664905,1944173512,11586305,-28637304,-369526327,11598628,1944651400,-19011389,-386301976,2145974327,-107747079,-386087960,-1964441670,-71177991,-386166808,-1595344505,-385447175,2042628211,-109844474,-1007054104,-112269229,-1325964056,-127080447,134711899,1394309312,1543061992,1392516328,-386168088,1357445487,-112727815,-369393944,-588644386,48782327,1407450880,-1174963992,-1168441338,-2019789855,-50690061,-209214221,-1969358201,-368670713,126501747,1944651400,-790052029,806552575,2828894,-991378688,1426661119,16915993,-1192705280,1547773183,16977423,-1394031872,1612727551,16857351,109757184,-523209750,1952646792,1944454794,225643068,-739767632,-83760905,-25926725,-2013220849,-1015813626,-369686808,-1310131473,-385447171,2042628211,-141498109,1944454794,58048520,-386431511,1491664824,1296171775,16977942,-87693312,-1325896728,-141760511,-386302232,28375165,-386432536,-1511458665,-155326213,-386483480,-1259799901,322092022,-385945112,1404827240,-18290669,-386168856,109771403,1139307619,-127276809,16713448,0,-385875918,-2115438281,-13702913,-386241815,434699564,-94246657,1944651402,1952974472,-386503960,109772358,-1073187736,-5240711,-386464280,-269944789,-99686153,-386391320,887684856,-402476806,636024574,-163714821,-385928728,196147148,-1611207192,-2041519994,-82908960,-1629452712,-2036399572,-528068384,-386476568],7,[-2040989717,20750048,-2036396172,-528068384,-386418456,-722864704,-85792513,-1326056728,-156178431,-386414872,-1444350548,-402542343,-1192692062,-87627529,1944716938,-2081890096,-141694730,-1963481368,1014229510,-1978960895,141813254,-385649472,109770330,-373591066,-2146961805,-654966156,1356891807,-118955898,-528066315,-1996959586,1936976390,-401952760,-2132216238,-2132229127,-435778820,1728481395,-385447308,1711704179,-180688780,1944454794,1952777864,1944651402,1952712328,1952712330,1551482888,1952908938,209043464,-386553112,28374439,-1007284760,-386593816,669578571,-133764867,-1863841420,-175249163,-386542103,109770119,103576554,91871478,266928304,-1245148672,1944173312,126536449,-657393456,1952712328,-1326133272,-385447936,2419059,1952777866,477478920,1952843402,242794504,1952908938,108314632,-369803544,954791065,-176100875,-385983512,1592326347,1678150398,-2004867980,-1015813882,-1963229208,-2005669626,-395024378,-1058472756,-41752332,-386086168,2045310068,-107550467,1743258800,-54925067,-1963162136,-1619794426,-2041519994,-185997088,-1629452712,443799760,1356891807,1307107462,-528066307,1926811806,-197466109,-369677592,-657457145,770179955,-368669960,2042628211,1946106887,3270915,-386638104,1958477138,-57087981,-1963442456,141814278,-1977975104,-1619793658,-2041519994,-192026400,-202899024,-528066316,-385447778,1745259123,-1964471692,812902662,-385447704,-504839309,-168957700,-385923607,1072231443,-204805889,-369103896,2028533996,252,3276800,-26810112,-1963284504,611576070,1762035840,-2013220748,-395056890,190315607,1179059790,-1712848896,-399543306,28374051,-386627096,108263052,-369879320,2112418910,-55252749,-386435096,-1377241717,1762036479,-2009068428,-378246906,-186122237,-368669965,2042628211,1929329668,-208279522,-386102808,-1245973617,-70457325,-1141685272,-1008200738,-127735557,-1141414168,133592169,-402033600,837351212,-180492036,1953040010,-393576412,1944651402,109635632,-389843991,233373530,-65869577,-386588951,109771256,-2145094679,1953040008,109576368,28341225,-386667032,326366704,1953040010,109592588,-571968407,-134027022,-402652183,109769575,-1073187862,-12843143,-1897331853,-217716481,-386139672,129757951,-79894508,-1141722136,870847536,-137172741,-369699096,526516077,138294086,224329473,189137679,1445462017,56433938,840564481,322715409,201261056,1560305182,805241097,1308954881,872415504,221649243,16711944,0,-16776959,0,65792,1111638595,-16773054,555819297,16732961,689594921,-65182,958356503,16646731,873091925,-196046,990127652,16515388,270868305,-373713,1598051327,19147269,222826496,21448024,1029772543,19726368,1109466880,17378653,1193030143,2378524,1079181056,606733663,1661206529,1296849164,929300225,924262402,660013057,237850927,65281,16777216,1493106689,1345082888,1593835850,307516695,939524609,823345951,1375732023,926298687,889192711,1498823200,-16777203,743835738,84560,1310798910,131371,1480008513,88109,235214341,70241,0,65792,-239867649,109605808,-389843994,1957753257,1944454792,-126162749,1944454794,91583292,48854192,-2005684224,141813254,-790051904,-435778824,1953709171,-268006908,-528048269,-387938736,-2040991285,109616864,-1073187866,-122820413,1944454794,74740796,1945110154,1356891807,-1461133178,-528066319,-435779426,-1010825101,-1611396120,-2041519994,-242095904,-1629452712,-136582973,-1966931597,-395057658,309590211,1945110154,1945680616,-133044215,-369110552,1491599385,-435778824,1945156467,-2036398278,-528068384,1492211432,1973346438,-12523514,-402652183,-1073152188,-4855613,1088947058,-655834113,-6756105,602408563,256511,150939624,-370621504,-402427137,-389808349,2078865339,-402229505,65666822,-16062464,-389824504,57868265,-1006696728,1945587944,109757185,1899787238,-471333259,256510,150923240,921224128,-1023314953,1944454794,108360252,-369178136,-840433661,-1010824962,74776636,2143380864,-2147454232,-2139114651,-2139111323,-2139111067,-1971337883,260719407,-164132285,108298437,-381518104,-1047920638,-2000403064,-973685179,-2143980480,-159334067,74719429,-2134880896,1947256310,-1286766588,147191424,1300236916,-973700923,-1023314928,583353738,1166590277,-1085946175,-1015707648,-1989278533,1166720093,-1102739260,-528048189,-387938736,-2041052863,1166581472,-1979664965,376749000,260754177,1127189059,1922436745,-973721718,-2146994928,-377506971,1300234244,-1614577485,-2041519994,1397903840,1922440843,1526731752,141777242,-1629452712,387577,-1629452712,-469777416,22584,1746339840,403898446,134217728,-16721897,6437,2721280,385613824,134217936,21915671,1124567643,41533448,-1494686721,-923137,-1073215606,-389873287,-381419623,806158322,-1610641175,-2041519994,1098770656,-2040993654,199859936,-387413504,-400014993,548464778,24759806,-9705277,-1962936855,171752261,-806812811,1964260353,38463747,-1019133976,141888828,-1342152472,310307085,1356891807,-1494687610,-1102738944,108380168,-1629452712,-922827783,-1950464632,-2041004963,126394080,-1134720701,1166722040,-1102763324,79423626,2026765934,-402159096,1933770773,-1978699020,-838943123,-1329397383,256032,1405351027,304539729,-154969255,1971372357,1702937345,1173782465,58032325,-1962951703,-12795067,-1966931595,1569375101,1372711103,-1972501317,1160430661,-1069156674,-402230144,65622725,1387980800,-155302518,1954594885,1392371718,-402652183,-2134682906,-2139045811,-1014972083,2143315328,-1207962391,-528048382,1373668944,870863698,1499093842,-1629452712,-1627277373,-2041519994,1397903840,1532108264,-2041030310,1371774688,2108745866,-1967766230,1078585544,292997176,46238291,-661995707,-1966899830,1376315589,-1614587557,-2041519994,-1268937760,146425226,1962884288,1920810007,-315103229,-1246081654,1837611776,1174326017,1305018,146163082,-166955584,1971370309,-528066554,1489238430,-2002853754,-1268937977,-1268938429,-122270210,884491658,-1421506305,-1419411261,-17537,1940659849,602409648,-1201307395,-1184530305,-1218084737,-2008693121,1837611776,-1246470775,-1234335619,-4569658,-3282749,-1962950167,171752261,-1847065740,985893439,141931589,1161480074,-1023314507,321619,-1008045221,1018578314,-1961593731,-1073171363,548406388,-1991571576,1174320221,-104597322,-54728509,-369175320,770243878,-1341427136,-1185777,-385957656,-389808531,24330254,677153731,-1979294583,-2036352187,-528068384,1916817896,-401625077,-1696007034,304867582,-1629452712,-117639448,-528048189,-387938736,-2040987967,-555114784,-31411970,-1293371835,-1236402434,-253180936,-8853249,-328144701,968558194,-390338534,109576368,669545580,-528048384,-1327462832,-1559853056,1812367987,2042628212,-528066546,-402607970,11598882,1478034665,-1012998010,1953113737,266865328,-16127748,-2147433496,2138336806,2144494976,1946512872,-167278023,779387072,108392508,-385605912,-381943704,-1057611660,-1977912256,1021322472,-1978174016,-1256250171,-1144485376,-889107046,-2145122422,1300235381,-675577646,774367305,-167527192,1954599493,1022552078,219865984,1006443238,-385934621,456976484,1239944821,63564008,1625883507,-7869954,1929545448,83421193,82314357,1995031296,-528048129,-387938736,91417494,-1629452712,-1996508989,-1955298554,-109811162,-528048189,1021347408,-401705723,-5183484,1953236616,1953113739,-528066365,645972894,-394300306,2109074339,-1244566136,1892662143,-1328587383,1124567295,-109720066,-1989258053,11586909,1421606581,1867692654,-1958541432,4622570,1976434242,-1268937741,1867652745,-1989095493,-1016179682,-528048301,-1964997040,-1073163963,243274357,-394234770,-2014773401,-528066499,1108382,1489984907,-2002853754,1569276679,-783417649,-1957510309,394972509,1261931075,1183509131,-389850624,-1427570889,1037690902,-402645784,-186040919,-528048353,-1327462832,1829144831,-528066444,1304734,-1624520728,-2041519994,-2013220640,1484025094,-392241018,317200894,-2013220864,-395181562,233373792,256042,-399898647,-353834122,-2012172247,-395181562,62598709,-33060750,-1253843123,1944173062,1183509131,1975519232,-838974971,-423955851,-1964340365,1882980422,28639858,259575294,1183509131,1124567040,-548536758,-1979716119,130473309,260066303,1421591424,1125616238,-1958529142,4623082,-243998660,-2134837677,394925685,-1959294397,4623082,141950780,109580464,-1017417214,-1958927896,512351581,1264284783,1884272971,1843941715,-1973724928,931808023,1364410691,1183509131,1019225088,-1977780864,-160142074,343179456,-376745639,-167754102,141852864,1323881351,3270912,1125616210,378091402,-1957006222,1400139550,-1964340389,126353478,58064700,1107301865,512447299,-1073187726,-461909223,1864272219,-6887052,-1175954599,512475964,-1900383121,432015474,-402427181,-389858320,1284193589,677153604,-402602102,-1014304630,-796211200,-1976413047,-1073204668,-12837516,1149901171,1958742067,1933589522,1864272654,1026025588,1953439369,-1342173719,1864272833,1124567156,1953439369,-767166781,-400853632,-802997696,512327966,-2111927936,1006444031,788340361,1614814719,-1847001313,-528048155,-1327462832,1946585343,-528066444,-767166818,-1624935296,-2041519994,-2013220640,1484026886,1017045126,-385649373,557580741,-320273547,1965964289,36563203,296812725,21824443,-1151708213,-889107180,1356891807,-2040995706,-2036359456,-528068384,-906081717,-2041050503,-51863840,991750652,-495646918,1953760906,-359929718,805324426,1490254056,1017045126,-401443522,99154189,966191333,-14848195,820580016,1966881792,-117970923,-387649560,1950169472,494485021,-384847617,-1047920617,-1342173207,911629,149490864,-385110016,-907542525,1930378468,-371192827,-2036400113,-528068384,199815088,-528066307,-50009954,-2147447575,-1954564251,1421528413,432015470,1867692755,126538497,-1975547325,-85727016,-1244701301,940018431,-2012908312,-661201,-849507389,1413268362,1156056437,1271134716,1125616203,-964020342,91607048,-100912408,1569278915,-816477747,-117462808,976677059,-385900311,24321373,728754371,-1241737752,1944173318,-1073215606,126487924,1140622824,-160051714,1124074985,-394932738,-152551704,-2139853306,-1729624716,-389809665,1702952805,1390968759,-849507565,1312605066,394926965,-2026403261,-1962953261,1961375751,1127188486,-385878807,-605422661,-1992080583,1435225437,1125615823,-1169475704,-1073189292,1387975449,-1949105809,394835029,-130578365,516417731,-1930951565,1569440763,991422671,243272563,-394234770,-1679164549,-815953607,-385908503,108200021,-369399064,1552628106,878479656,-398844440,1569390636,-397718579,15210278,-13243905,-398855448,753473316,-479270657,-401195544,1911089356,-108926725,-370614040,468254487,-117279488,604474051,1971338432,32110596,-389809920,24379368,980937155,-1966252661,1968454851,-1974746367,529156871,-670500726,-2103101,-186120589,957671930,-1993843573,-256887716,-385981720,925775780,1223229215,-1023314945,-1993188213,1911043676,-401640673,-169280821,-25827102,-382147095,-1007157247,-353877840,-849507338,583763,-402361509,-1007026581,-397606725,24328137,1294318275,1929385704,-1047870719,334020620,-23336709,674712552,-117497961,-1962888765,-359953315,1006651018,-117279233,619219651,1963407999,1166689053,1977104564,-1253733871,175503416,1954596342,-373032958,-381550588,-359923760,1107314314,1954595062,-373162251,-555155523,671934464,-402650648,1994930353,-923145,-1964895512,1170646853,-1073217369,-2036395916],8,[-528068384,1492673256,-375463802,1173751895,460685474,-2136783370,-739768716,171436058,-2136652298,1676150388,946857994,-402652183,-1078249870,916711497,-2128486272,1233265263,577708569,-48206053,-48674517,-48674515,-48674525,-48674514,-48674496,555305256,1530804976,544223009,991981325,-1006740159,-397812293,1882142309,577187104,1126214210,239345879,848250190,1193337926,1967726971,1303989582,1381160784,1800622019,1580422228,1478541142,1146561281,-1125581221,-2004832009,-709129659,908322891,-2145213171,-385998171,1300297639,62619832,-169809919,-397675589,-385927671,-1144785005,-608547871,905504843,-33477031,-2013260056,1307156293,911396,108314632,-392870520,-1628894830,1270856503,-400096024,-2036342440,-528068384,1491155944,-1147215738,129311066,91555642,-922827382,-838972477,-379850123,-2036386026,-528068384,1018905994,-1341819643,-183244768,804609512,-2041020346,1421582048,-1979665119,-1966407224,-184817401,709436484,-1152626105,-1494726118,466479142,1558709875,15919415,-399037208,1552615800,677153074,-1154014231,1525172872,562971445,1327613522,-314170967,-1732510176,645130314,1914279912,1912814602,1011083270,-402082583,-1981204838,1252375350,1379216616,-1153228362,1387331105,-1342176535,-1606055869,-385286936,-1212475101,890234954,1294062401,-385998373,1702893850,-2134671455,-1014980275,-402061336,-1243021309,888334390,35783169,-66903494,573834273,-31304954,-378729026,247332867,675580525,1964131386,-1964471793,1144663620,-385650158,-980811708,58050814,973093865,58134596,-2013252631,230565956,-154932883,-378729026,247332867,675580525,1144701182,-385650134,1149763604,1829617192,-1326013207,675579905,-383171448,230618777,1236002925,-1326018327,1237760912,-1342175767,1237367680,-393591416,-1712839283,-166074314,1166674613,1962884291,-161814523,-980806475,-386512152,108209411,-385337624,1038628349,581242164,33983231,-528048270,-387938736,1166680689,1954364598,-1975154132,1912735368,-1167226949,2108715523,1958102314,-1979665135,-209216312,-201524601,-2014083164,-5202438,1183378059,575858688,-202898573,-528066315,2025851038,401729795,-2004832061,-1528198587,1283963903,1043584232,878060311,591022115,555973421,-385997957,1170669121,1149895307,-2000093656,-28964796,-227177651,1843940942,119793973,-378728770,230555651,230577773,-402411411,-437766074,745692695,1971324150,1997945872,1912683555,-2000617953,300483652,2001353728,1913011219,1426491407,-2013089683,1157497924,944891950,-1016263234,1953834633,-1155240472,1390955237,596659251,-31104941,-397740614,364586077,611051595,1929602024,80668931,-1104507672,57896205,-402607895,12312718,677153024,-386617624,57877462,-1174364951,-2017778354,-1940027027,1929104104,1019316768,1008759808,-1962314495,-1947669387,-2823936,158663228,-387025525,-941031298,19523839,-385891863,1170604323,1149895307,776208936,1149815038,1308509736,1324316043,484501582,-1964083829,1149775428,1829617192,-402587416,1111285278,-152558731,-327841024,-2010233718,230565956,1566829,-402635544,1972044001,675610350,1970081214,-541595434,-401172759,109764036,-1073187939,-1950154379,-395021018,-202842210,-1971907,-402606872,-1243086703,-402427113,1149829093,1829617192,-402612759,2062032909,1962884096,1963015254,9431078,-386673944,574414276,-1444412555,586541277,1270111627,574359434,921174901,-28972814,-402645271,-1561796281,-385649898,1592328093,1894400,-1830222989,-161617665,-1964440717,-327840769,-1104657154,1122528525,-1012894976,1446115304,-385932030,-303505029,925713713,1412900942,1665537113,753467156,-389809902,854127459,374597632,1323828083,2615551,1944188136,-12326909,256195,-402652952,904462125,-585176867,58006332,1023356137,-1023314675,-385881879,540859680,742130292,-1007156620,-371392536,1095041005,1163313492,1380930627,1347769555,-2931380,-397738054,884679309,580642891,-400104773,57868704,-1157432343,-1041741047,-402230482,-991350082,682354688,-1125579917,-400969728,132706314,1111577841,806176076,571289900,1163267362,1380930627,741346643,-327840896,-402613784,571338982,1431571746,1397050448,-2144587763,-387025525,-806879102,572657136,1413563405,741346625,572656944,1552646157,677153070,770749928,221260849,-294286464,976635018,230565956,-1958317459,1149955189,675579950,-395506242,1329787026,-394261164,-1648632824,-2146961805,753468276,-327841024,976635018,242362436,-395506242,1972043820,675610348,1972099445,675610350,1970081214,-262608733,222580549,795339136,708199562,-1057085372,-378729026,921175792,33983006,2042628210,-264968173,221260849,-689405918,-265754620,-1015018206,821043688,2045280300,-435779057,1919958131,652065600,61931701,91490106,1976172107,652131319,126536449,1356891807,373088390,-270005899,-2146618897,-402651415,221310950,-528066432,174057630,-387995928,-2146570282,-1245662781,-401297404,-941095292,223743471,1936900992,369193332,1229193239,1129742406,1179206688,1061573200,-2135933121,-383326534,-2135949275,-383324230,-2135949283,-383325766,1085276181,-383326534,1085276173,-383325766,1085276165,-2010714950,-1988856058,-395020266,1827205487,-1341951200,1166721795,-528048216,-387938736,-2040997108,2042339040,309543,1134298938,1979310237,2025731,-402458136,24313891,3795139,1019412850,-1157008112,-991418383,-1023315393,-873937927,-1310066640,67175423,1996917254,1967144052,-2130278381,3598452,-1966931597,-2005630714,-126585082,-1236956477,-654934740,1954285192,-1989310533,-1972078050,-1972077562,-1979664952,-1955301626,-1955301354,-378242530,-2135934525,1953957512,1946144488,-1144784894,115886931,669210927,-630265601,-1339006488,-389809917,24379315,987490499,-121437837,-1528278333,-359965968,1006651018,-402164723,-381489587,-706150416,675676718,19414788,1057171519,675218984,-637605633,1939670666,74760200,-1007091024,1946091496,1963146255,-385699835,-393609212,-1007090768,-389872464,-369610754,95485888,1085326329,1953957512,-1993937734,-1988855786,-1972078050,2080803009,-12064652,-528048189,-387938736,-2041038354,54304480,-1966931595,686406632,1011025802,940668159,-166890264,74809351,-530109,-1513149,1356891807,-1336680314,-318969846,552466920,-1219657600,-302978944,1330795077,-2145371566,-528066469,1979661470,-304289776,542060361,1869771365,250183794,-167278080,125141184,1139636456,-385879319,1609095977,-646256593,-101743896,1631717315,1768300644,1847616876,-2140836511,1818838529,1869488229,1868963956,-2140901771,1634030092,1919230052,-2139984014,1769101070,1881171316,1702129522,1684370531,1766065536,1713400691,-2140377995,1986348054,543515497,544501614,1767994977,1818386796,1344110693,2004054881,543453807,1970365810,1684370025,1699881088,1864393825,544828526,1701603686,2035490688,1835365491,1818846752,1141735525,1702259058,1920099616,58749551,109641600,-1914145664,1954397144,1954547702,1894407,1954547338,1933138920,-20846579,109609136,-369527907,-1963458559,-1015775226,141893692,-25919813,-1007133945,175377724,1929390568,-373073150,2142961691,-2146961804,28314997,1954416264,1929384424,-1144825086,662729855,-2013220737,-1015775738,-2139848773,2109440015,-131084172,1954416266,527745032,1954547338,1356891807,548462726,1543468008,109627274,124941440,-25919813,-1612614385,-2041519994,1954397152,-2041042992,-1614569760,-2041519994,1954528224,-1149294720,260076669,-2013220736,1484029446,-1012998010,-2139849285,-389841113,1055457283,496035886,-400718360,-353886830,1074980909,-402503960,1702887501,334004131,-1723495936,158646280,-399302424,451411974,775547187,2141545856,-399654680,11546182,-1341897592,88377344,-33530904,1149896004,189020677,1157558898,71600644,1913275450,775350498,-1221699607,-1974553856,1340645445,-400510913,-1830207665,776136733,1189610354,-1723495936,158646280,-399327000,-1159200711,1166721842,-528048225,-387938736,-2041053176,1166581472,1525203871,-1977846995,-2036352187,-528068384,-1339141656,-360126449,1491978728,-392241018,-154932485,1954587461,-303512831,-354359251,-1966931597,-2036352187,-528068384,1609043888,518378,-1629452712,-387263767,-1259803242,423880922,-1976762136,-1073206972,1149896052,1975519272,10479875,1912735370,846774280,-1143299864,126513667,427343880,1126051304,-1972115782,619219463,-1997894785,1245904966,1954596342,749857006,1837811966,-385830497,-264502856,-2143531916,1166681973,1975519391,-1790604797,376767804,-1250819141,1007127040,1124496639,-186006018,-389707009,585755399,1972386816,-1287260646,-1978633088,1014104838,-402295553,-76349427,-402652183,-389873659,-1144837044,126513667,1979661379,1405351938,1542082792,-389812109,1149954989,1958742057,-1287260618,-1979026304,-388971451,-1108809590,692357866,439091381,-973208194,83884009,-1966568934,1958742213,1074548999,1508513000,1074577802,-1964372760,-1073207228,-2014833292,-1971277350,-1073206972,-1062141324,61866677,-1023346712,-1976831768,1144663364,-1979091671,1144663108,-1023314648,-1993843573,1166683228,-528048197,-1327462832,-384505851,-385909784,-2041053139,-2065064224,733735145,-1615116918,-2041519994,-401952544,317253878,-528066560,-378935138,1912735370,-2008960829,-1966920380,171752261,1166674548,1958742175,-195106813,1018905994,-1341819643,-378017760,1912735370,58245128,-1979691543,1014104582,-1977649792,171752261,87823732,-1545073547,1277698281,-377479127,-1746403323,-377478423,-1875050779,1166680437,1946827963,1963277335,-377427955,758065184,-377479127,1944584198,-2144522263,-1006714647,1018905994,1007514634,-402033403,673245534,-2145375914,-384201752,-2014837744,-1258049319,-373247742,65536000,-653399808,1356891807,-397287290,1482231522,-2002853754,1837631301,139298822,-166765336,1954591557,138802699,-1341819520,-389552096,134628746,-1979288128,1166579013,1963342854,139296772,-435779008,1919958131,-1287260611,-1341819520,-392173504,1944454794,28378806,74805564,11600822,74806076,380700086,74806332,397477558,1173800586,91570184,-386537391,-373192103,1166672701,1963146246,50718979,-38073163,134711916,1258649024,-176828930,-31298168,-33326643,109709637,-1073187863,1170605177,-21627109,-2012658294,-1073207995,-838990215,50647286,-31177336,188490829,-838991246,1157809546,642091015,134825354,-2012907328,11541573,-1977793144,20710981,45091189,-2145301120,1006638057,-1341557502,558727168,452992,706889098,-1073215163,11534969,1008747912,-1257934335,527272191,34030986,1160387397,-385648356,359989757,-2145303050,1173752180,57966623,-2013113879,1166548805,524616224,1173809290,712343585,2031961346,30664963,1173801098,443908131,-2145565194,1161434228,-1978698974,1157768773,952696347,-385649976,-980811343,1931494714,558233100,-385649536,1166541318,541403680,-68615303,509968385,558233215,-1978043264,476941000,-1073166966,209043850,-1073158006,1300235892,-922845154,1074284022,1166541685,59674,35407242,1157767237,1827846941,-796262218,205312769,1381197683,-29163339,1930181824,-382760955,1532690420,-1241141165,459264,1913273584,-1240847353,190721,126353590,-28639056,1541831114,126353584,762638344,-1157624903,-38114052,-209216404,-201459065,-2014083164,28351994,-32684664,1173752133,108298275,-383629826,1340735134,1827847166,-1341497975,205883404,1308500144,-402229222,-169220451,457570047,-1256819584,507901485,-1979091840,-1073214139,816841333,2129184138,507901670,-1341819776,-428611536,-400790134,1173749882,91521055,1659383472,-33509146,41426245,-1041757835,541982438,-1962938135],9,[1474830445,-1287260672,-397380480,11872311,79415434,-1966407314,-906081296,126489720,809271076,775746420,758968180,548406389,2133067656,594878524,-1975270914,1014965255,-31951568,-1047903295,259256376,2133067658,125120572,-1337210370,-1022916576,108580350,-385874712,1405353974,173902673,135021962,-1978895168,1308508935,173902092,-1342176535,-432609280,-154969255,1954554181,6088963,-2145171978,1407779700,592281600,642091648,-1341700728,155551745,-1325560344,-442505147,-2145040906,766510452,-1142582040,1569287410,-2012434422,1166675013,738243876,-33196022,-529979,-2036397564,-528068384,-1073166966,-706215052,-528066331,-439424610,-823574864,-385447195,2025850995,-1971342055,141814278,1007648448,-1979288319,-1972115962,-399855384,-1329338934,-449320896,-1979627032,-1977670649,-1144485144,-838972123,133565816,1124365696,1140848617,-1962938391,-394320889,133621009,1124365696,-1241517847,1301986048,126536449,91521060,-152557392,652788708,1850915584,-389194359,1569444020,-1992080435,126537053,-1975547325,1962412248,-815953655,-385870616,-1966866463,611372806,1971338432,-399790075,-389815107,971515581,1851046633,-753287160,24072890,-1269462061,-2008868984,2025850935,7727116,78975664,-1712734031,1086387963,-1880554635,1979661312,-247676159,1019412853,-402098704,774825158,-154959826,58007744,-151047959,980750528,-1157026328,-930460396,-889126731,611453756,544411196,1356891807,126541958,1491355880,1017045126,-1341819637,190782,921189808,387556,787023754,2011743204,-2143338524,-740038461,-1979697688,393537543,-29163339,-2146961723,-838928268,-25958726,1259108557,-359987318,1241532040,-1006636823,-402649624,-1444403415,777817081,-1020765047,-1966252661,1066025735,-1329342326,-2079946752,-2063169420,-2046392204,870693748,-1342129943,-2063169281,856210292,-402611991,15263191,-2113500934,-1996509068,-1334541306,-2063169536,-1236956556,58031420,-1342136599,-2046392320,19327092,1954678410,209240072,-1337324101,-2063169281,911732,108363836,-381024325,-155516925,355199049,1954678410,108576776,-382531397,-2143551475,1874527861,256290,-400398405,-2036400063,-528068384,1491429096,-1012998010,1954940554,477413384,-578099062,-2068184905,-1328348815,1963407904,-838972667,-980748427,1954940552,-1327097111,-2046392320,-1996509068,-1988852730,-1334540514,-1169848065,1929389032,216646401,124928,387267,-119205144,-1996508989,-395016698,-2081893809,345565204,109757432,-1073187939,-588774023,-389809665,-294453198,1929474792,-796858326,-1989310533,2108732509,-1967766136,141657094,-1978567488,-26115066,-2079946552,-402295695,-277675759,-1006649367,-397798469,1273500729,589752340,-46928869,-2141702131,-369151034,367525943,877658403,53783810,-452709410,1911095091,942336206,2045297656,-117738752,13625539,-1007092877,1018578314,-402295427,-1007142887,-119224856,1954921411,-1073215606,1166673524,256425,-391625334,540855864,2134640498,99156851,937879552,-2036349960,-528068384,1954940554,1166723210,-1326937418,-119003011,2101135360,-823654030,-528066505,1489238174,-392241018,-1007098939,1929381864,934799363,2108736504,1974879546,-1950091006,-1974750115,-528048377,-387938736,109765710,-1073187706,-930472076,-662044491,-2051407689,-1965883023,1272154871,-2014083172,-1527513606,-91753593,-528066403,-2063169378,-2046391695,-2000617868,-126581242,518339,1525154675,-1966868425,141854214,-117279296,-2063168829,-481564559,1954940554,11913354,-1972271686,1138395902,-2014083172,-1527513862,-91753593,-2046391651,-2000093580,-126581242,-2079946045,2042628212,-850466813,-385949720,11587740,1954743944,-134214680,1954743946,24756232,512476153,-469797753,-400310808,-840433647,590080035,1021683688,-385649409,-1983655729,-1149990618,1569287764,1901116365,-388801143,-1192702764,-1572473136,-1961200512,-1972480994,-2134837753,512429429,126512726,58064700,-117652760,-849507389,3795027,-851080613,58054712,-385874967,1569456107,1019448019,1259893840,139134858,-1995803200,126538589,24509500,20179139,-117448727,-402411325,-1058471717,-450434817,1971372278,-59381753,-1023398424,24510268,1086387907,686294645,1894656,-532877276,2062091125,1021322240,-385649216,132645140,-1993962752,-803346060,1137532299,-849508029,-454891325,-1975318646,-388462017,317203337,239790288,-389873293,-1732572524,178548,126536449,41533448,-163331079,41189383,126534648,-1173125656,112292838,-906097483,-29156488,-1626895667,-2041519994,-1954601760,4622570,-528066486,2042628254,-389809951,-941038460,-528048380,-1243576752,-1144485376,-889107197,-1073215606,1971372278,6547459,-1629452712,58001724,1006646761,-385649398,1676148782,-1966568705,1849480005,1357448053,-1243492097,1285274368,1435224833,-1677545005,-91753593,-2019232772,-1644525581,-1009560183,1020478858,-1023314608,1272143243,139134858,-402426688,126493048,108396348,-388801143,-1950089450,-1014312099,359944252,134711883,1259238592,-1965859447,-386364897,-487989368,-504839169,-17766173,-930472156,-1699020619,-1966407347,-1142829049,-889107267,-1975308406,618498623,-402361056,1405345628,-385972504,1918567299,-21370621,-1008776216,48853424,-1619873792,-2041519994,-824710944,-1629452712,1944454792,-890743869,1569283022,-2013220609,1569391173,-1975303219,1066025735,126539914,393605180,1929546216,-18300159,-1962315262,32046941,-857633,-33545751,1166672453,-528048382,-1948219824,-397148323,-1990459881,-2040987811,1166581472,-556079102,1929578216,-306461775,-6428409,-402232901,-1125580905,38111950,-1144053271,-1998059539,38111999,-372304408,-373566660,1392553993,1356891807,1055449222,-528066354,-385447778,-1341737613,1944173155,1183378059,-838974976,1068562037,1944716936,-11343525,-1341524037,-3413505,-739769936,-402542386,-1729573170,-807278339,-388829208,-1293365348,42592461,1156121459,30205954,-389873293,1055392413,-401837566,-1696018497,-774772529,-385880087,57803367,-1023270167,-386048280,1618084443,1912709608,38922331,1173771891,1349877761,1926586600,1702937345,48791299,-400461310,-2036346768,-528068384,1489893096,1990123654,-77755640,132714494,55410688,-2430592,-154280216,1971323717,-847517686,109605296,-1950125082,268368733,-16949877,-44898041,-402540823,-2034508875,-10647276,-1006727192,-1143234840,1569264809,-24975105,-52827965,1929500392,-2005749752,-109844986,5236931,-68680333,-1966868224,-1619794426,-2041519994,-847386400,-1629452712,443904828,-386094360,91423143,-100782360,14674115,619185522,-373032450,-756547561,-402296064,-1007026665,-386103576,91357571,-100791576,-389809981,-389819456,1894317171,-402099455,-186069709,-389809667,91422870,-117402136,-385447229,-1928951693,-838473612,-739768205,8448253,3982329,-1917121676,-2146961804,149488501,-37951488,-117413400,-1964471613,-1619752186,-2041519994,-1945728288,-528048268,-1964997040,-1962506043,1955380084,-1149294720,1569274296,-39130881,-160133957,58032135,1493008872,-2002853754,1484033030,-2002853754,-1015772410,-160133957,57966599,-1144215831,268334219,-1662450828,1955380172,-1015017600,-1009585176,-1996068421,1709768541,-389809923,-2132214853,11921868,-402591768,1836195729,-1993843573,-404210596,-523048709,1568010300,-386146840,1994916052,-1957531105,1552492636,-70457282,977159306,259341380,-1167247685,1821011253,1829682751,-1157624599,918187317,1047300717,-2006118978,1569260653,-44725765,977028234,91373124,48889776,-2013155328,230555973,1012697965,-131572599,-867112765,-1946454295,126548829,-2147400202,1161432180,-117279996,-369119037,1161429001,-117279228,-1627279165,-2041519994,1776833504,-33328389,1482359365,43966598,-133724153,-533796669,1964032246,7137286,-117439767,1963605187,-80943099,154977272,602407797,-960235013,-1979544763,1820998724,1044678718,1178365064,1972063742,-380743954,1569455930,1124567757,-662028406,-1589250365,-1023314816,-400727832,12054516,565202867,788850771,-398782533,-1336209943,789375008,-386944791,-1108866687,-537663221,255594276,1569394549,1125616333,1112225674,1183509131,954778368,16181469,-1614610061,-2041519994,463399136,976965645,-385926320,-2040996577,-1007051040,1490884328,-123805562,911555,-389122071,1496128380,996748091,6285567,-389873293,1144833772,1161561204,-756527243,-959780646,756767720,-1473561704,1001095739,-12872933,-400777240,-1007039789,-388320024,57868428,-150998807,780760,-388324120,57868412,-1610620695,-2041519994,18344160,-1629452712,-2012658430,-1897395899,-1144784896,1927826683,-1023315173,-389400344,-773324707,1011249691,-2146994898,-377480883,254083056,1166677365,1963736076,424015372,-33328000,-639039155,-167726849,1971329349,155581955,1308551306,-1962117108,797444701,173902147,-33553431,-1243018171,3139839,-21249032,-6363060,-389873293,-1245459681,976915,1166544048,1827846924,-1022730871,-289726539,-2013220756,-838974713,-389809803,1166723437,29423113,1166689140,1975519245,156106268,-1167264837,196701426,-209216512,-201524601,-2014083164,468295162,155581952,-1167262533,196701437,-209216512,-201459065,-2014083164,11574778,1183378059,155552256,109639888,112554986,-1167265093,126514150,-930422576,-523181872,37996544,-359972089,1241532040,-428487170,-389254167,-423952543,1827847027,-359987535,1241532042,170655925,-973208200,83884009,1127188490,-29161592,-1964802103,7596550,155551936,135087498,-1977256512,-1073213883,-205840780,1827846764,-1677718599,-91753593,-2019232772,-1644525581,1166540976,156106264,-614078269,-388161560,225574937,219783144,1312439630,-370606275,-618797030,417907705,-389809957,484973423,-528048384,-1948219824,1552492636,459139122,1476864232,1939792006,449636355,426174659,-2126644864,1967013257,-113509059,1480071997,-992810754,752402664,692357184,-1966821912,20752965,1166684021,-659822423,1009337482,-385650173,-222619001,-1227847107,-1965883136,-1455060425,-268419028,57819196,-2011533591,2011703620,-27596604,1625883507,675579930,58048520,1008359145,-385649921,1166678607,1964719273,440789251,436257784,-2107093452,-1218084708,-620500865,-387998488,1441328640,-320935740,991481832,454770208,1042710590,-389809921,-1007034405,-383834904,-1058537466,59875,-385888535,-1444357084,1480071960,-531764993,1592264307,-1119777,-1948205848,1552492636,412018740,977175309,1563311747,1051269950,-524162817,1760036467,-2299425,219706344,1966751349,1048189758,441313535,1357431800,-548542241,-1325415959,-602347280,-958422808,-1979544763,1149776964,910460978,-1957822906,1313796469,-387977240,-857145320,-551425793,-385907735,1552669604,844925224,-371206168,1702952838,1284210660,911510324,-264714870,-1047914379,175296568,-2132521600,-2009707384,230372436,-530740883,-1047870472,410374200,-264714870,1300236914,1820885220,896829495,-1989341509,-1007099811,1569440761,147294852,-1023314496,-31193206,130470026,931808000,-1996486714,-395014634,-76349433,1922041486,1829617347,1955464842,101380132,259290255,1955470987,-1979784320,-780890594,-1966895381,611618310,-1895429392,-117279372,-1911125053,770200180,1435193857,214076032,-388986367,-1990590170,1517587990,-1954523767,1098029070,1922567817,1569440760,-1910601344,1829617268,1955464842,101380132,259290255,1955470987,-1979784320,-780890594,-1966895381,611618310,-1895429392,-402229900,24313876,13822147,-1954523767,1232246798,1922567817,1273545720,-117278976,1370307,-389921816,-1031143244,-361496284,-402652998,-1007157074,-1177854581,-1073217534,1569311513,-1910601269,1829617268,1955464842],10,[101380132,259290255,1955470987,-1979784320,-780890594,-1010594069,1003183499,-1094465187,1569418509,-18644849,-1987093111,-1955295202,230600285,47725,1922569865,-1545020788,-917141248,-1962929990,-783038115,1539542763,1002555368,1937018910,-14948332,443942,-1047789312,-2084467135,-471268669,1829617407,-1996488517,1569423453,29590473,-1979784320,1569442141,-883062385,1922041486,-1960393736,-1023410154,1476902,99140352,-1878618624,1381221234,47953,-1183541062,102629392,-2019817697,-50690061,-209214221,513669767,1493638918,1405311834,-1732554414,47732,-1677717319,-91753593,-2019232772,-1644525581,-1017423271,-1014804141,-754667249,-637445653,-1008545445,42681798,975717514,108146756,-378729026,-28966902,-327840947,-1007137202,-395506242,1284184006,501764400,158554368,-1989341762,401092684,-528048361,-387938736,786962368,-528066553,1170654110,1157497483,-117279448,809798339,1932018746,675580419,1982481466,-2000422654,1149773892,1308509760,1323005323,-1979664818,-1023530668,-1979711301,-389011388,-754908557,-690953520,-227164152,-674176048,-1856664749,-628303221,-752229679,-472783919,22733777,-628337709,-1946204696,-1856664614,1996545256,-1007068413,-393259637,57802961,-1983645349,-1990473379,-1394064804,-1369601026,1922702985,-1996488517,971515996,12314626,-1950154381,1128498269,-1954259575,-1628918187,-1947569664,1435189852,1078758318,-1977070455,1958742209,-1966473653,1958742213,-1328677315,126372608,-1979217845,809777857,-980801165,1932608570,-1958065630,4623082,11536264,1183378059,-1958591744,4623082,11536264,1183378059,-381007104,1821048765,-5248703,-1992139637,1284222557,24569920,-1949739637,-774206246,-774690334,-773598749,-1709798429,432015474,-804997677,-19148561,-2013760051,-1742828589,432015474,-1742829101,-1966868366,1961900231,-1014316287,-1950101448,512328797,-1464109938,-2146467724,1955468939,1955731081,-160126789,108363783,-369238040,-628424697,-1975314550,-1911125705,1829617268,1955464842,101380132,259290255,1955470987,-1979784320,-780890594,-1966895381,611618310,-1895429392,-1961200524,-1955295722,-633747107,300418675,-1023315200,-2139838277,-1679196377,-1878618369,378127218,-1779927914,-59578115,1569394547,-916616786,1922041486,-100839704,-39589693,1955468939,1955862153,1955731083,-160126789,745897991,1955468937,-1972564546,611618310,-1895429392,-1961921420,-2139845090,512360163,-338594674,378258318,870872212,780797,378264203,394818708,-1959294909,-1988848106,-1099657706,109735181,-266046322,1955530250,512429940,-478120818,-1910601218,-1897148044,-1241402685,-50796544,-1946429208,-1988848618,-1099657706,109735181,-266046322,1955530250,512429940,-478120818,-1910601218,-1897148044,1284096963,-1856664784,-628303221,-752229679,-472783919,-1236016175,30509568,1523778003,-2001969783,-846592691,-506462027,-1014311472,1183378059,-947240448,1183378059,-889110016,1963281918,1149944809,809777704,1149907059,826554921,1435183219,-1931834479,702730714,-773598765,-1243360797,676104704,-889074943,1284120459,30081321,-2074244661,12305400,-2074244864,-1108818951,-1156877313,1569259520,-1910601342,529253236,-1987945079,-1099657698,109735181,-266046322,1955530250,512429940,-478120818,-1910601218,-1897148044,-1912173885,183510132,1970573062,32110852,-1094453248,-1310167795,-1978436609,254050885,-1331739256,33982704,-1878618510,45859698,-1457616526,-68491148,-1250649413,-1458140402,-1962440076,4622570,108330812,-838974909,378138485,-12815191,-1310183052,-1911125509,1829617268,1955464842,101380132,259290255,1955470987,-1979784320,-780890594,-1966895381,611618310,-1895429392,-1968540300,-1972239866,-2012273432,-980771003,109637668,109998594,-1245482352,-546469748,45875120,-1341683598,33982704,32031602,230605568,-16062355,142951818,-401508928,158596038,1922041486,-104948760,-1709629,-386290712,-2036400013,-528068384,1569412467,-1712827516,1569283065,33983108,1022370930,1007514624,-402033648,-1628898940,2812415,1356891807,110026886,-1729596784,-711202575,-1629452712,125108284,1912735368,-388635672,108199975,-386312216,1552678769,777816360,-1978497560,611451398,33982704,-1878618510,-452597646,-1629452712,-1878618429,-421664654,1912735370,-266016630,-2002828022,-1955462650,-980777891,-264441820,1166676085,1124567199,126353584,1922041486,512345080,-1464109938,-2146467724,-1989016901,-1955288034,-1988850154,-395007466,158595428,1922041486,-105003032,-1911125053,378229364,-1464109910,-2146961804,378087797,230585486,-1912173971,183510132,1953795846,-1910600945,-18644876,1955470985,-1014043695,-97195942,-1962931991,394812122,-1992849341,-1099657706,109735181,-266046322,1955530250,512429940,-478120818,-1910601218,-1897148044,1956166595,1124075462,-1962932282,-1250644970,-1964340466,-2008874938,1962884103,-838974971,378138485,-2036370260,-528068384,-1141240600,662729896,-528066433,1962884254,-12064509,1922041486,-2115451912,1892661971,1912735370,1081413692,-1965994498,611451654,-1997894785,-1153302458,11891203,1971324918,-973192442,-1962936855,1958742213,604473874,-1997894785,1112211526,-19837442,-1175554611,1508404822,5630208,-160300101,74809351,-530109,-581072573,-1972480327,1927335943,-2146961906,1189611125,-661248,-1979704087,1962884103,1978612764,3401734,-805303831,1927336160,2615299,-402643736,-890699760,1892662271,-1144038007,1569287764,-1031093299,1183377803,-964017920,1183377803,-1966915328,-1997894905,1111687238,-1009693186,48857264,-2013220864,1038650181,1205798159,-45625317,-2142774003,-385923107,1166719640,1975519371,-1471837690,-1979710487,540846405,2134640498,-2098723981,-3216946,1942951144,-795744251,-1041644551,-1329334017,-843520000,-1008039704,-1979711557,-1015763426,-1979711558,-1015901162,-1996423237,-1015901666,1922178699,-402647831,-746123191,1922178699,-753287160,1256784757,-1965848832,-2036352187,-528068384,-400314285,512478578,-1975290706,1960315079,1944603402,-832509746,-1954537414,1131582494,-670513270,-397735308,1273548382,-2145371442,-1843492517,-833558414,-1629452712,-1949452568,-797796322,-791162653,-1965567773,-1253133369,1913273344,-32887802,-1611236923,-2041519994,1019579104,-1625525494,-2041519994,1678150368,1958742124,-31412217,4843723,-1629452712,-2013257751,-1251187706,751173120,1930050570,-1614020872,-2041519994,-389707040,-2041053147,518561504,-528066560,1566878,1922631306,242597896,1922565770,108204092,-397561781,214159091,-823269328,-1983659010,1166726493,1967340704,1832237839,-1972554054,1284124780,846129,-1167247685,1821011253,810322481,-1999147640,1569314893,-615151143,-359989072,-1342159224,-648180992,-370669688,-82384712,-1977211278,603980294,-1878618384,1962949746,261416983,-388670069,158584100,-401629208,1122569962,261548047,-19309173,-683308537,-914946246,-19178101,-666531321,-1284044998,-1978718999,1014228486,-1341820304,-1010825216,1944716938,1077682180,921176946,-2005749572,-1334581754,-1964471808,141814022,2042989248,-1019212798,-393576668,-2145066800,1944651400,1059374474,109633540,-2134674454,1700946252,1632403564,980182370,1885688352,1769234789,1451255662,1702194273,1836008320,1684955501,1128407098,1195787588,1380994377,1465275475,1632403501,980182370,1885688352,1769234789,1283483502,1818583649,1818318464,1535141237,1953064005,1866956893,980382752,1869562656,1852400754,-2140834719,1819305298,1952539497,1394621029,1668445551,1634869349,543516526,1159754351,1380275278,1885688448,1633905004,540697972,1735549268,1914729573,1701277281,1885688448,1633905004,540697972,1867398478,1634222880,744843118,1379750432,1952541797,-2140834199,1651469383,540699745,542056515,-2142887854,1970040643,1998614125,1752458345,1701139072,543973750,1701081679,1377843826,1384137504,1818321765,1092631139,1468026144,1868852841,1210071671,824202784,1428181792,1953059968,980641132,1444956192,1310736928,1952531584,1394621025,543520353,1684107084,1952531584,1869357153,1149264993,543257697,1702257011,2003782784,1914729061,1952999273,1818838656,1869881445,1634683936,1867284580,1852400737,1867284583,1852400737,-2144722841,1701603654,1919903264,1986089760,-2140705175,1701603654,544175136,1701602628,1182819700,543517801,1936291941,539915124,1869881433,1885696544,1701011820,1818576000,543519845,1701603654,1869894528,1701273970,1769296256,541884532,541335635,-2145181615,1702063689,1149269106,1952803941,542277733,542277699,1919885379,1414415648,1300255301,979727983,1869760032,774778477,1182822228,1634562671,1142962804,1226852128,1377848352,706749472,1634484864,1132489582,1918985580,1886999680,542711909,1663070068,1768320623,679505266,824191299,741947193,825768241,1718571808,1918990196,1916870757,539784052,778268233,538976288,825049942,844707383,1296189741,1397052461,1350574164,1953393010,1867259962,544367991,1751607666,572533876,1970562387,757083248,-2144985044,1852404304,1176517236,744844393,1769099296,1919251566,1769099392,540701806,1970562387,1919885424,1414415648,1350586949,1953393010,1766203450,1634624876,1484809581,1769099392,1919251566,1953459744,1634038304,964720996,-16132520,-318702592,84461831,-2046099958,-50266608,1108681984,773152533,-585807083,758589460,-63463881,-197672393,-1539817417,-130567369,1208885773,51509777,-1022222318,370331410,-1693478385,302961167,1662277906,1746169108,-1206549995,-986141896,-2110182600,-8192210,-2130738814,8421504,0,0,0,2633003,791293227,1009527134,1010712124,1170296381,-766553518,1322079571,1229837904,-666808882,1263488844,1329844309,1104432725,1095910742,1313457479,-750632492,1137592659,1096078159,1230193102,1329807822,1096040915,1196379342,-833834959,1355831365,1381061577,1431459028,1279346373,1330562387,1314081236,1163086273,-766553518,1338265153,1137068498,1397706568,65477,-2139062144,-1602191232,-1600085856,-1600085856,-1610571616,-1600126976,-2139062112,11331712,-2131145344,-397692997,-790037951,-253499190,1642660723,-530740470,-387162743,1552614633,677153078,1945309672,1972093697,-151015188,1954604101,-385765371,1291714563,-163215306,-2009840502,1149957189,-179992522,-378729026,-1749417803,-102766517,1929383144,1300284161,-5209865,-402617111,-1631911870,145745995,1380865347,-385986981,820510770,1268956106,1124637928,1532120661,1314590030,-11639269,-390857752,-454489618,1829682175,-1157626903,1569287437,73394412,-1007041544,2146919808,2146985344,2147050880,-144342845,1267776127,-386304792,24379297,-327840829,976110730,24260676,1829617347,-1993319285,1972054108,676134638,-395506242,24375914,-129138493,-2013155200,1972106821,776243948,-1963702904,-922865596,-1946860152,11595381,-1104657272,1239969037,-179991885,-17545942,-414873408,-1159134347,-327841015,-2131343882,1166673524,256500,-1997191798,230565956,-183572371,142951818,-385649216,31984021,-146409739,-402426752,1569452020,1125616260,-162842742,1954608965,47625,-2008868984,1435061047,-262305294,-390928408,1435235540,-2074244112,178515,-2014083172,-1527513862,-91753593,-1152230755,45706455,-209216512,-201524601,-2014083164,-1990484486,1972105309,675580652,-1997126358,1308502084,1829617383,1972090485,675610350,975717514,57880644,-1090567959,1166699789,-528048221,-2132769200,-1149197491,1173770783,158695672,-2136914442,-1111817355,-113252273,-1629452712,-391953016,-1175855877,39839962,-1142207255,1055410732,452856,417858418,-991378453,-287840056,-389873293,540722878,1246608256,-1946672920,1552495708,-529167558,-1964673655,1166554692,1829617379,1944989928],11,[-437730559,912034778,-400008055,24375526,2681027,-1007156621,-18516597,1157510212,910461494,1965704250,911015427,-29735798,230570564,-482002323,-1007102094,-1949816088,1552497244,-608245720,986075624,1552646176,677153076,-388255768,774817346,1552646190,677153078,-388259864,540722738,-1277171584,-1992663925,451422300,33983220,-498759566,108576776,-385864216,45809687,1892661874,-1677688903,-91753593,-2019232772,-1644525581,-528048136,-387938736,-2040997312,24354528,11004355,-389529368,-118950951,-610211621,1354465205,-2013220752,-838974713,-1293354635,1851046880,-1949475447,512341085,1702915922,1300266936,-370638663,1962884297,1019225173,-2142866048,-394217651,-1763134405,-1286608672,-397777477,592315861,1360417361,-10995685,-385409048,938016746,-1158950912,-754880432,-2139091072,-394283163,1387921446,-1965883025,1066025735,1726535818,-531109689,-385873688,-1511456860,-1950091047,1128516957,-1009951351,-1160946293,-1073189292,-960244967,-1979544763,1149776964,709114408,230556786,1143653229,944015418,-1957822906,1313793397,1021461898,-1157008128,1552482304,6350916,-1996488517,1972058204,-2013155104,230570052,-1334122387,149046666,-401835840,24365387,3991747,-402643223,-809766035,1912781424,-1677688903,-91753593,-2019232772,-1644525581,-359923792,-402635128,24376164,-529167421,-1977072386,1144662084,1829617206,-1007111306,-1959240565,-947239860,-393549824,-939474038,1284098186,114878532,-1992663925,-2031605668,-188552974,-1022959640,-1966252661,1066025735,-389818230,109769329,-1073188350,115868536,-1343559680,-386725911,-1545014116,-929634298,108396348,-385437720,-1071331004,1853194300,-385890840,1972045617,675580652,1928611130,-165579427,1954608709,-146409957,-401640320,-1045364826,-1337784440,-385382159,1166671936,2681333,1995785530,-112855543,-385649536,1161429036,-166562315,1971385925,-129632756,-1979484800,65664069,-163249664,-1104657272,1552641293,844925224,-385917464,230557429,-24647571,-1962969367,222096453,247137909,256365,-1989341765,-1144787363,-18330548,1392264707,-11344048,-1157596439,79254584,452864,-1185661765,1374158850,649685,-397641797,367588613,-385649708,-1930898072,-685512507,-397661253,1948386245,1412376147,-11261395,1929453288,3795203,1877483184,910461634,1915241530,793020969,-399948664,24314076,927238851,1915307066,-1005066229,-19400472,-411752124,-152564304,675610306,166317941,452608,-374414360,11535574,-389927448,-1007087894,-397647429,485029005,-199628603,1939670666,57982984,-385884183,-2017743172,-1340176019,977012,-370669966,-661035,-371804952,1391001450,1969110016,4974632,1631354660,-551288206,1124338408,-431467561,1407011923,1163124818,-597797917,-1329889197,-1341129100,-389810082,522453025,-1022709565,-1329394256,317244187,-1308194816,780404,109762698,-125143886,-1962674711,-1955287010,435729493,1476817619,-107028346,-1340175421,1124567668,1957699209,-35077128,1939717037,1954547702,-12392189,11584504,-1342176535,50759808,-19338891,978604624,-957853126,-387061517,-1950154381,1552495196,74836022,42681798,976635018,91433028,-110293570,1308509891,1324184971,-1144784818,2042252166,40167499,1146400339,2082690180,1450658851,-27881135,-397720389,1843983229,-385649710,-507784224,1265482315,1493319144,-385985371,-1209465954,236972045,-1192688781,884720595,-212604853,1943163880,-742987517,-605546064,809798336,-1977072504,1149776196,-1387599831,1939670666,58310664,-402597655,-1293417474,33983215,1978678386,-1622832633,158646280,-402556952,-806823995,66512896,1965640958,676134604,-1813462667,827797441,1330065165,-1606055296,-389990168,789430658,-1333767609,-1589250495,-1342016384,-1054611379,-1979672088,-1073178043,1793590132,-1723495928,1651818504,801200616,1173782616,141852827,230574261,387437,247355061,239372909,-1106492374,-2036372211,-528068384,-488061558,-528066368,-673781602,-402632216,1001390163,-390016792,1223165985,-1639609856,91602952,-1092076624,-1656359232,-402099072,1462747394,-377483949,686292995,2156544,-2147481367,2138354470,-2147482135,-2139835634,1930207720,-1291389430,57966708,-1009603608,-2098655824,-1790604608,578076680,-930479947,18961595,-1626895669,-2041519994,-1061885728,-2142877905,-1629452712,-390046488,-1545011246,1128738752,-1824159104,-388544536,1149960130,323226130,1284194420,4843536,42681798,135414922,-30968640,675580104,1829617238,-402636824,1412415598,83254912,-1341819520,190792,-396994896,-2081898483,-28942593,-864711859,1284197966,649224,-1996075893,233384012,-20578816,676104641,801125864,1051754584,-390078232,984667540,-1145054999,-1964487915,-797775631,-303496333,-1380390703,109576624,334066869,1273084672,-397704774,-1638334402,-571933098,363063571,-25905733,-970164977,-1262809081,-2146961804,130421364,1266268672,-1141820184,1458064162,1042929,-1157691450,585649017,1261091825,-1007598360,-386852632,2112418089,-1991409493,126507904,2042628163,1979595824,20900099,125173052,2139710848,1023404009,-1979353601,-1017927355,1161461540,-1979091542,636070213,190720,384385859,-1455080960,1173753717,57966729,-374661144,48824332,-2143075584,-377452211,394985388,-2026403261,-1981546541,1435208029,-1940551244,1166540976,-1425348466,359996220,-1968508952,-1073181115,-1007091083,-20882968,417959501,1632256,1166673267,-1966868311,-756504251,-33328450,-974614971,-3544662,-1970709109,2042628103,1962884112,981410839,41265733,132760568,-1455080960,-1007156619,-2102973,1166722041,1975519374,-1950091006,126520413,-1940027069,-124891650,-1241085757,126507892,74809404,443742531,109768842,-264735562,-1975317643,931808023,1945686919,1128481541,-469771147,451463050,-1023315200,-523181872,-523181872,1958151816,115917706,1958198016,616761098,1918975103,1021256706,-117279952,1916419267,1933655053,1019476226,-1023315385,254019372,199803896,-1441601536,65586169,-136960,-116145176,692357827,58048520,-1966931024,-154954939,1954587205,-960275711,-1979544763,-1073216444,1144661364,33977876,65603652,272892416,230557043,147061101,-33393216,709114560,230557042,-2000422547,-28956604,-881489075,1911049806,-389809941,1170604071,1149895307,776243240,1174815880,1972063742,-1974579471,1166580293,-1069815650,-390092056,-1679168559,-1639609645,1956267322,80996358,-1949176600,1552494172,-1071912664,512446803,1284206958,1127188520,-1992093816,1500605982,1364443995,1903042187,1259309643,1284059018,1847494952,-1017423503,-167769112,1954587205,-389809918,-5242631,-960281208,-1979544763,-1073207228,1144660596,974156562,91689028,-110293570,272902851,704646633,1144653892,-1106938092,-1007063795,1913275450,1829617157,1149813753,1308509700,1321497995,-17569714,-1967259416,1140982852,-1018853364,1284112565,1834203909,126536449,-390118008,1166606023,-1966868284,619219463,1971338432,616925712,692357183,-2012771773,-129292220,-2013155133,1149773892,-2134640343,-2139834354,-2147482135,2138355750,1958217462,-1979157376,54320965,-1979709975,54317381,-1007091085,1958217462,-32934784,1308548941,453087,-19837442,1284231501,146901554,-1342016064,1929329665,1140764674,-980809848,41271304,1077674416,1068499570,-2146681052,1124567115,-389810109,-404225978,-1656359424,-1958972288,1552489052,-1673136638,-1106873216,65629453,1829682688,973620362,477370948,1444562056,1577280744,973620362,57872452,-1107017496,-1410831091,55568384,-1016263234,42681798,-1979691544,-1073212860,1144655988,-1978960344,1144655940,-402427128,1149895701,1958742056,306461222,1149903218,172243460,-18346894,72154627,-385334018,1144651789,-32999660,1157498956,1189049604,1972063742,-1018278221,-2012724086,1149895236,1975519272,138708998,973093353,108204612,-2012189558,1144653932,-402426096,1143604153,-1978961144,-922867644,-385334136,1144651792,-1978961398,1143613508,-2000617974,1149896772,138684968,-1023130488,-2136652298,-2014772364,38046415,1963476010,54823450,1963541546,20759297,149488501,1979661316,65923331,-1979704599,54823656,1963541562,1019578896,-385649407,-12844181,1944650613,-817305341,-397753413,-1203176559,1539462747,1398502193,1851087706,1166736987,1975519385,-52631293,-2137174656,-385753880,1702887897,-1966899299,-1073178299,-1329397387,-1723496448,-1969339000,65573701,-825497344,1356891807,1153884294,11535116,-2012396408,1166580037,-1654292326,239388287,256165400,172279376,-528066538,36432286,1958295177,-378729026,914948103,247362745,-1723495827,57982984,-1979619095,37487684,1592329075,-2147158527,1702890357,1300266908,149520539,-1672642560,-1687846784,-1723466113,-1150518342,62483576,-209216512,-201524601,-2014083164,599432698,1829878637,-1677716807,-91753593,-2019232772,-1644525581,-1150456390,448359763,-209216512,-201524601,-2014083164,1149935098,71565832,1149815038,239372826,-1960819576,-1988839138,1400158518,106728286,-1961337719,-1988839138,1400158518,71600734,-32881528,83242572,-1257343872,-1144485376,-889098925,65603466,205783552,-2012330872,1149902404,172239388,-1977858936,1143611460,-2147158498,104617844,-1914109069,1829617152,-33490712,1149897540,-528048373,-387938736,-2041052890,1144692448,-1976994805,-1821537592,-980759042,-1047919812,-2036393358,-528068384,115918218,-528066559,189020830,1174275700,16050323,-402606872,183042286,1929460736,3598595,-401715970,-1628962804,452608,-385836824,915000649,1173779641,108298395,-378729026,247332867,172264045,739525674,-402425598,230555997,230605677,-29628307,-1090845207,-1479411,256250,-1963239447,-1073178299,-269941899,-845747974,-1996469016,-160122570,1954585669,1829617158,-1107295255,1149922574,-528048344,-1948219824,-1988839138,1400158518,106728286,-1960289143,-1988839138,1400158518,-528066466,-1656359266,-2013039488,230565956,-853546899,-1967434519,20224581,-1164294776,2025548923,-402410132,599392275,1829878637,149426869,1835907584,-1251126341,-1964340454,260702278,-1047918712,1183378059,-29211904,-1008044595,1016284554,-1342016765,1921006595,-2004897790,1149932357,1834203917,71501704,-1323649789,1124567041,1157808638,256129683,125045874,-1328939445,-385382400,-838991868,1284039541,1959394827,-20711422,1166709581,1929591955,-1144784450,-1561834795,1581861112,1314804566,1178754681,183041630,-1187608320,1829617268,-1996486679,-1099646666,1149922574,272926728,-2010626934,1157501508,272902674,-1105967992,1300262157,585728165,1170626298,182977163,1308509696,1324840331,-1614586290,-2041519994,-1521647392,-2013220736,1149768260,340035600,-1629452712,340036291,1149812990,-1241401596,846082,-32881526,71600328,28705463,34358410,-2036394940,-528068384,-125110272,1477270666,10412166,-1963947280,256150227,-1978842070,172264136,739525674,-387413502,-404222980,-2013220615,-2036398780,-528068384,1489763304,-23142266,189020864,-504764046,189041401,1149815038,-1824159227,-796206858,233374385,356813312,1149812990,-1823110651,1149895089,-1966604267,-1157581368,-889098925,2089426826,12814860,-1966044464,189041399,739591210,-1978436606,33599720,-838954171,-930416267,-401970038,1877478318,172264185,1149815038,-880351228,2030324990,-109909512,-960881744,-853167009,-855460831,-2012208106,-394984954,15270225,-1202708992,-661782528,1361477720,-1021346044,12079134,1490587136,72420992,516104064,47184,-161949554,-2147200762,1344193311,-1912602440,243292376,528483409,-855460657,974136342,1953825286,28623617,-1262283059,605474050,33962512,-2012646283,1953825286,6547715,382534068],12,[-186055819,-855591936,1963146262,5236995,1962811019,1962942089,1929386472,14280963,266872712,-385649920,126353615,1958416000,-4986496,1962804991,1962819201,108360956,1962804935,512455868,507213054,225801468,1962942091,1962811017,-116675608,-389809981,1139277957,-8394497,-8656701,-1007091083,134223336,-1979222839,-385830679,1139277832,-385649920,-1007091741,1962673919,1962688129,108360956,1962673863,512455868,797603068,1962673919,1962688129,108360956,1962673863,512455868,260732156,1962810939,645924213,-1015057221,-4471414,440672,-111082054,74778426,387576,-498974141,-1962446093,1124567770,-943509622,-1133183994,-33110156,-2139833228,2138356518,-1157171517,1304658036,1196443723,-2147319725,-2147254271,425988,51281928,1491632245,8436225,567089844,12079134,1490587136,72361600,615522175,-1268611142,-400437979,-389873659,-842858210,-1071362031,-388888911,109625598,-461343463,-771313216,438733036,-461350795,-1997746162,-1015735514,1356891807,109764742,3962122,-2041051020,347119328,-2041003015,109616864,1323922698,1364414464,13690962,1482381658,1963591304,1963923081,-1250611782,1019316736,-1341819375,17623303,225755144,-2014083172,-1527513862,-91753593,-1962037091,4622570,-394973765,57869885,-402593815,57868327,-1979654167,1014303494,-385649340,1379664209,-1545010315,1968192515,78571779,58017596,-117139479,1964947651,-1184755525,817496067,2943074,109578610,243299595,-1014991604,1142956064,1142956097,1142956098,1142956099,1142956100,1347702860,1380798275,1196708432,-1979951274,-1988805114,-1955250162,-1955250626,1074695155,1973875573,-133920250,63135327,1131757598,-479014087,-1017225223,1963591306,41222204,512476152,-469797624,-134216984,-2013220669,-1149957626,512320195,512324868,512324870,516125960,47184,-1957111666,1963080903,-384389115,3932171,246416757,-1342176535,1342605322,1343127556,11567108,129027871,1356891807,-1259806586,-528066305,-1329333858,-1966868222,1014303238,-385649408,109772785,1144812811,128976244,-1157638679,330563676,-1477959219,1958742016,-9639928,-1075248720,-8787713,222086136,401087093,-1023315200,1963722486,-167021440,-2139815162,-373095307,179306498,1963335307,149480447,-1023315200,-160167364,69110723,-387711115,57868413,-2130739735,2138377254,1964451456,405176447,-1914142859,10479616,1964508918,-402164608,280035099,11584505,8128136,-1979687750,1014303238,-402229888,65601720,13690880,1005126515,369527039,8436597,1964252809,-1989907269,-394983394,-1007156852,12079134,1490587136,72353526,-2146536320,2130989094,72353418,132733727,-1966923777,1014308358,-1341688544,-369118208,1076625412,109633674,646447196,104494354,74872089,-1007085904,582730744,1007127157,-1341885152,-1173911510,146079837,-1157620503,126514474,192225340,1964050166,-1962642304,-1166733538,62193765,-1979711255,1965702151,77457667,91569980,1964510848,-1997894784,1111687238,-478818818,263504888,1676157389,2042628351,-117329916,1109819587,716930933,69110117,-1023299467,567087028,150947304,-1023314496,-1275044678,-400437994,-1073152202,95421561,-893664263,102664548,-1023365003,108363836,-385858584,109707327,-1073187562,2129139316,-1626246400,-2041519994,2812128,1493033704,-1012998010,1929388008,-722943231,386332413,292913269,-1142390608,-385649412,384368134,-1023314946,1555743683,-854543360,-19863519,91865096,-337116752,-2036349955,-528068384,1964445312,-528066432,337546142,1124567157,1964377738,-2143502082,317197173,-1023315200,-1342144325,369526784,337545589,-1161561995,364118108,-2014830131,1958742270,-2013220851,-394979834,95485254,11584505,-1258258245,1124567168,-109720066,512476152,109737236,-922847978,116797557,1954575682,4188419,-1275044678,-400437996,-1073152442,20714356,719913845,1946369024,2025731,1967263360,-1149194112,109576320,126514454,337545539,1975519349,518403,179356664,-1342176535,-672641021,-1007068932,1963591306,41254972,1488700409,102664550,1651293045,1963466377,1929392872,-49485565,1929400296,-50140925,1929414632,-50534141,1964770954,1710818952,11847934,23476411,486968003,-972584843,1382451462,1965145027,540805002,109709173,48850425,976235520,1987386118,-115953658,-2013264407,-126542842,582681027,1007127157,-1023314656,41173564,-1958493191,1713421251,-1174404423,401106488,-2012974340,-1015735034,822096177,808649013,53491202,839135793,942933300,120994054,11928066,1964775050,109759230,95515933,118284498,348979380,-2134575368,-1007091340,1967326856,11927988,1710823050,349031166,1967326858,-402651416,-395050996,-990447421,-1023314532,74630137,-1023292288,-101109528,548425923,1965098632,1720270464,-385649326,109772526,-2143521526,-1007091083,-1989733189,-1149958626,512320108,468219144,-385649920,954792954,-385649920,109771762,109606172,113665780,-1018141047,-1972035141,1965046791,-200898041,190822,104476716,108426522,-369551696,109576197,-1007127268,-1241402367,471239168,-842334603,-990447593,-1341950975,-121374442,1974060278,-1007041791,1967392392,-192282444,1727272586,399362814,1967392394,-385883928,-394985648,220105155,-127801227,1964115594,108396348,567089588,109625598,31981660,767214336,10479733,-1275044678,-400437999,-12780494,28312693,1323877369,-1023314696,1912621032,317244161,6076928,567087796,1023152616,-1327270401,1019476227,-1023314683,1356891807,-397287290,1482291910,1017045126,-1979353853,977349,91554364,99156912,-385830912,1499004928,800769017,8502133,552077493,-1959874560,4622570,9026370,283640757,-1962037248,4622570,-1955254854,-9106146,1007127267,-1962183648,4622570,-838974909,79949685,-1997894848,-1337851834,-1997894854,-1245511610,1964947983,-402617624,24313878,3270851,-389873293,24313907,1947024579,-1010566910,1964948051,1072170165,1526887168,1966750915,-381462011,78970889,-394977606,-128253869,1965210307,535365813,1949187072,286162952,300515445,716849920,-402410123,24313866,287736003,-1007124619,126505299,-402640920,74776649,-1007133863,1929401064,-1017423613,1183378059,1532576256,1976434243,-133723429,-1960791869,4622570,1976434242,1631372278,2050754162,539755127,-1958760253,4622570,1976434242,403603700,-1144815499,79259853,-1677248000,-102720189,539889091,1759689530,973095097,-1656513529,24443360,1650574329,1717920867,1785292903,1852664939,1920036975,1987409011,2054781047,1145258561,1212630597,1280002633,1347374669,1414746705,1482118741,825252441,892613426,959985462,250096191,1294368768,45121397,281870516,-855553047,875570193,-2146536144,2138395686,1967457991,199864320,1410236416,113737845,-1207929531,1353914807,1226738115,-1979664779,-754535977,-1979665182,-754667065,-774897184,-805259296,-1983708701,-1015724258,1967726219,401130435,1292795904,1465286773,1967601291,915013259,552105291,-1017225472,1967982326,-1023314560,1967990400,1465274495,1967863435,82378379,1482579712,109971139,-1944160955,1409742529,242516085,-335291718,-76217944,27847930,-644940940,-2145387603,91555836,48853172,-1962429440,1409742536,242516085,-335291718,-76217944,27847930,-1047790732,-1022886997,-11409328,-7280552,1158057478,-402148235,-1022951402,-12720048,-8591272,1158057478,-395266955,-1022951422,1195281239,-154629259,-2139794426,-625340812,27847683,-319095947,-76283480,-72629877,1967589119,1967589119,1967720191,129287007,-1275067671,-13047696,24444988,109971139,-393579195,-397342838,1129971638,-193606146,468239111,-1274892033,-1223635712,-1306806784,-855460864,47888,-1006714136,1023345128,-1023314688,129296522,300490928,-17766400,24444988,-1259828541,-383733648,512425984,-1957464759,1400194846,1158057478,-397324171,1482293086,-176828930,512318215,-1990494905,-1015723746,-1946257688,-1334490850,-371709872,-41877590,-1023314688,1962998144,-51854591,106386944,1967457934,158793272,-402607128,65601650,3074048,-1017225465,1962999168,-109001983,-1023314688,1442894568,109971031,-633834171,-1981281930,4777984,-402652183,1594294276,116835166,1954575700,64666126,1963501804,-1171934981,-51510312,1968049801,-402620952,117309553,117339475,244020561,-838961842,116844149,1954575700,-1171673082,-1007811624,1968441078,-1173457792,-1460927526,-1325697784,64535077,243924462,1072198990,3401728,1968377598,1968246526,1968049803,-428487170,1968441078,-1341754240,64535081,-889076754,-872493058,1968184969,-822162943,378129150,516126034,1967464078,-1021336077,1968184971,-1946323224,-1955248330,-394964450,1049361771,244020551,11892046,1309575619,1344178549,1377208693,113754997,83916117,-956299543,7689478,-1229915630,109790182,1122399573,1122419850,-527801884,1642464012,-1190677509,-18739200,-143275010,1642513546,35556291,512314112,-389843625,12189708,-1224559616,-854536960,1203356448,-1947610773,16826353,-1012599812,0,0,0,0,447487998,9,0,0,17152,0,0,1685414527,117,1970114304,-16744448,393100042,32768,8408577,447610880,8190,0,0,0,0,140,0,0,0,0,0,0,0,0,33554432,-217989117,68460,0,0,-16777216,65792,25165824,16842752,8388608,16843008,369098753,402653961,80,0,0,0,0,0,-16711424,16843072,65793,0,0,0,0,0,504695811,1111044135,0,0,0,0,0,0,0,0,0,0,587202560,808464432,3158064,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,539575080,959920433,943272236,1867718705,1635218534,1092642162,745763954,1668172064,538976302,759387680,1496725297,1112091954,1163144525,2118739,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],13,[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1903165440,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15728640,237807104,631880223,-384060440,1048836594,1946159475,1933476114,-1007681783,-1910636112,-1574133730,-1021376143,751044343,91619327,-349840454,751018195,750913082,2028471156,-1003058428,-385928404,-1749416828,461170726,378156724,567083100,1962934077,-136185910,-1946514461,73853168,-383344198,-1169024162,1102318332,179970509,-851332085,-1547685087,113642103,1510017390,1939651267,1274217984,403963903,1877541544,-1608610049,2013724204,-853953526,-1572797407,-54850806,-1962440694,-1261882413,1914817852,-1260876843,-1172189890,1018432266,-965598771,1052039307,719856077,1845937682,915079177,1048775289,1979648371,1929824006,-336592887,1845937699,915079177,1017907833,-1955105412,-1207232490,567098624,-661943182,1200029616,1614360,858491839,222068937,1894318965,2084339967,-1431504780,947129660,1971076161,1170614005,910757375,730467976,2033617230,437685002,-919383797,-851705672,-1200465631,-5187445,-1575467130,377946137,378080024,233507610,-1978759114,914968107,-18150791,-234622976,-18088213,-225972224,128,-395640768,1940058112,1610614272,-230291968,49373292,18023011,1457586512,534847698,-150994944,8388608,1951268368,1837591951,1007222783,-17402590,1967013069,1044152370,648808053,172885758,1006954216,1944155405,172951052,1760231433,172998487,1947024556,81127492,104480628,963914916,166587306,637978406,-352319222,-953808579,151660038,1463675648,-351656257,-2132768045,594902268,1996946982,77195274,74714428,326466620,1827217158,652248830,989822336,844038517,-2006996288,-58702043,-33197043,-10163775,2000584742,343146506,638221247,175718025,-399799362,-1431567269,-92992196,730467976,2000584742,118358026,-1539407677,74723116,41168700,-1966908356,-402629610,-1746400844,-1224280571,376767021,553663412,-1813507982,45309,196681726,850064128,915129280,-1974587992,-1058472124,991982847,-1977060110,-6140,-347208844,24936690,168588334,977076036,-1595403916,-117279233,313027,567098292,-1966925965,-7477244,855078393,22841051,567098292,1552477298,-46864383,-1254717114,6078253,-852950344,-303512799,1958507708,-1962934179,1656971971,-100638013,6078457,-852947528,749969697,523,-970087261,388869126,28311976,95421044,-1574124638,113716418,11460,-1272097350,-400437990,1939668785,1353711626,50464769,-1107161879,1438580828,-2651347,-1527578609,567086848,30050,-401053208,1357383458,-1073063935,116787713,1954557293,-54990589,113643956,-956366847,268458758,1948676765,-1086345192,196673537,-1951730944,-1087523530,246939740,-1272853247,5618193,-397401651,-346553695,5618177,-1057087027,1877542517,10611196,751044097,-399680066,116785362,1963011492,761839105,1947206902,663796232,-350752280,15132673,187528609,-1082755904,-1202705210,1487609857,95539339,254077139,-924315465,-1439846399,522502794,-1341210904,-963990995,1342564353,1919171584,-396088318,512429739,-620024575,548942452,-338580704,-338564143,-338629887,1639368586,108137532,41185462,-1073083391,212861557,2095583415,-1438994418,1961411329,-1429829106,-1163214797,1961372870,-1039204863,-1607568084,-1029559101,5105708,765724161,-31886334,1965927438,-1408842221,-843442431,390653990,-854849352,3008545,485036545,-402018049,-185921984,-1188247873,-1527578623,-1180032848,-1527578621,1386922035,-399718911,-1017506017,501817520,-1178971634,521018881,521603560,915129178,1049308537,-1070387967,-393488245,-788520775,-1781018138,-1795141887,4909203,-503311213,751222766,-1843916799,-1828706328,-1795158552,855640552,-960845311,382593324,-388724144,-1973813247,-789917695,-789917462,190698,-494872950,-1325239295,583925248,818577613,-1031089878,-1072512255,314869287,-997840960,696498883,-1409253375,376750090,1006723816,-401640435,225705217,766721664,-1173982208,-1410783262,768257,-1409262146,41238332,-108791326,-1171557119,1474832251,8437270,80205451,179830785,-1390293748,-411769846,201400040,1953381377,-1669776356,-1644223768,330618229,-855614463,-1494724575,-608544768,1958805029,-1092041983,-2146864132,2995006,-1679097228,765998593,-402625345,28836067,-2145268439,536898817,1948877754,-1172851693,567083100,7071745,633649752,-982138626,-1090904599,-1192755199,1963801600,99543299,-1207822872,567098625,1915083706,-1898411037,858563102,244004353,1068772541,-930405939,-1152172573,1085538305,1918575053,1958820617,-1053079068,29042945,1140897792,-1024056883,-384010880,-1910631167,-2144559074,618814,-1173588961,1001663489,-1070456371,-1007040536,154470019,924222209,-1168965623,-1959392922,-1272000226,112897,-1956961843,-485920056,157720583,678763009,856067590,-850807799,113706785,2305,-1341551384,1933476109,1979707401,1929824001,-956301559,17395206,82357443,1325036545,1948269763,1950170126,1949056010,1950039041,-1022804990,-402619970,1048641503,1946157057,-1958328821,-3020578,175496763,108268801,-383340614,-790038238,-1090052355,-4718591,-1070355713,-1330992213,-1186485752,1068498945,1438296819,-853887955,5618209,567087361,666745424,-1609255448,1074004060,91570177,70037664,196012097,1958742616,668252673,-384525848,-809828989,345040935,-1188209407,-960561141,-203977940,168671396,-1430244607,-401309975,65600867,-44177152,-400057855,-960555926,-852446164,-466464735,-235533823,-523107151,280609802,-388986351,783351041,-997566294,179430450,78770678,-1005920255,-1978658631,-42735408,-1163214797,820587521,521018900,32106502,-2144991630,175439873,-1341993752,186574910,-1977206549,-1073068287,607924340,233309556,653257483,-1152973567,-1073075774,-1014817676,38135811,125044481,1962950528,114551793,-16314793,123666689,520603883,700234435,-1340877079,-1341199615,-1341461733,-1341723842,-1341985988,180807937,-1409253186,-1499208654,-1472820947,-1224292863,113639469,-1962922573,-1959942090,-1959942655,1362879446,-187963306,1529719459,56221185,-472478773,-391362263,74840599,766707201,91569980,766971520,1965702146,-1223786495,1290273325,973501694,1965859846,-1070445055,1011221638,-2013104883,-1472820988,-1508996863,-2134981843,-1073042432,65537396,-1022542847,-31594324,993789045,-1018235275,-402592511,712310752,-402603032,887619926,-2955263,376716092,1947024556,23455761,91503361,1962798824,23390213,-1070339349,82363137,-68818944,1031808707,-1173850880,521021441,101902825,99582751,753457035,-425727,-370641920,1994920667,17098752,15919105,-397904802,-370671397,-399054080,1014235137,-1403593933,259263804,-143311556,1015071489,-17795827,1592585159,108317694,-383202815,-397150506,-27590596,-401574705,-1595408383,222080000,-471333516,-1007228160,748690945,186392206,1015084595,-1947175936,309454849,-1392814360,-76169206,2092887275,-1107039487,508962945,1912612328,-386430192,-142147583,721479912,-216070450,-1017241692,-349668351,679591427,1912604136,-1870992589,3008513,748684942,470191654,1375679243,-391358719,642187375,1979663674,1609818626,208951553,5630033,1031808601,-102730496,-1962467839,1088968702,1459940096,1493188328,-108529407,222068931,-391378060,1072169015,1966947329,-2134981648,-1073042432,-1394080396,-1022542847,748684942,470191654,-385928437,-2144993279,-143327171,-348278589,-1178586622,-1359871743,1918975171,2004499462,-1021301758,988304129,-2082895104,-80018709,1364207730,-193009663,46367579,-338492239,-850742205,-1912169471,-399728634,-1660423053,108222553,-383384063,648738214,1479,113465691,1220578305,-1591295858,78708739,-930357037,-1262287103,69324057,139389249,-402650648,-960235007,23558,6035082,1074053770,108347393,749733378,-1102003970,1202990424,91431169,-2132205810,760594418,-1269246069,-1516197119,216640044,109970961,-1591333728,-1557788415,-2144993258,619070,-987362699,-1207194879,567092513,109983239,1236544674,12067073,-400437940,45677850,1914817853,-1193768191,567100416,1971372790,-851528691,682080769,-351225368,-164458455,-1207711104,567100417,244051,1052039987,-498916915,1169447681,1169433037,1169433037,1051992525,-1909055231,506241054,-1560274783,-692582033,-1144303615,12058625,-165556924,880050370,1947255297,891926575,-1064558131,1996525629,856404993,-1273967141,-1978610417,-1228210476,-1950338303,-1274562616,856739078,-1275021358,-1022309119,-1406549826,-315438966,-1968437580,-501101311,-1281244167,-1190786260,653048364,-2118241023,-84547584,125046076,977120582,-385649407,1273560774,-1224280324,108331565,567098113,-2098636941,1304825,968099445,1232281857,-383256902,-2084899806,-1090983127,-1192755199,1947024634,749969905,750323211,1965485057,-66262814,766969590,-555171070,-1274645247,1931595066,672381460,-1158418967,-1645730303,201439247,-1863835187,213894136,79858177,1967144000,-1341783546,-1430192596,749020673,111884976,-1258845409,1914817863,-1021374975,-1409283911,24387644,-1392975190,309600257,783343754,-1429961046,1017905841,-1442614271,-1070401310,113689514,-2130704009,619265,-955877889,-16157946,-311105025,167656961,-1169197825,236858709,-853887969,-4579583,-2146257911,654910,297011060,167642625,169987328,515864000,-1105261049,2042572033,1049175561,78383612,1950366784,1048585729,1946159480,-1422216189,654276072,234833153,118365958,167517835,1946173312,-1393325311,-76214980,-1581328757,730578697,1017956609,-1978108635,973732646,1175483684,-1393325311,74714428,-135550399,-1427903650,1963801601,-2009708067,-1993635314,-167117802,-16159231,326377230,-12204506,730577444,638487809,234833350,-370213399,-1910575363,-1171480575,1048651993,-16774797,113706613,-63231,-224073441,855671230,-1610182967,158973697,-1574518734,-2044327560,168392454,650867969,167526025,-33110490,485031689,624733441,-2010747531,-401999066,222099727,1034757121,91508297,1970170173,-117577642,1965571073,-118101938,125118780,748691086,-1392593151,1114901820,510929212,1948925098,1967078401,113649158,-402585090,-478807849,-12204543,-121247731,230218219,2105550336,41225473,-391397325,1034811571,91508548],14,[1970234369,-123344827,1047792956,-1408654913,1963801601,117319418,-2094659209,-16157890,-953809151,619270,1048585983,1963002366,-1088485887,2042497535,24936457,-33262278,-1207339007,567093504,-893757245,-239277784,749667841,8502784,1022907112,-1947503603,703446785,-175439691,-481882742,1963125555,-1977177087,-1002813659,-864025228,-490456544,-117203199,1195842955,-1394903650,-1166799556,1979195905,-132781871,385278975,-1192547153,-1396100351,-1586229956,1962412776,-202686205,125058305,-1854665412,-1393169492,-1988805316,1022880257,1602384909,343189235,234847360,1017953281,-390630387,-160040997,418119600,-137238527,-1070404235,1438584555,687978541,263463169,567138187,749668086,-167611137,1958742529,-352524029,-1946705176,-2115403314,-2146555903,-2146530816,-1978759168,730578731,229680129,-316413526,-617477449,1947024556,-142481407,808193140,-403258490,-1014578430,-1910576639,-1976786914,520711206,-482688974,-922835455,512664299,866200736,-22263,-1064422655,-919349106,-108281461,-1951468983,-1186576895,-1510801399,1962884483,-952792296,922746625,748691086,1963801772,3965179,-1993997567,512672565,116862112,-63181,-768347391,154474121,154605193,-1090486552,196673537,-232738816,1090614702,-150214269,243873281,-1813500587,1949973750,-158537695,125110785,1022789096,-149720006,-16174330,-387287807,521011261,-383207238,1572859934,244004353,-397333163,207222370,87696928,132841985,975577132,1204843781,1273555170,1998601217,1947024582,-163518457,-109769412,787888385,785456779,567099060,512630467,-768407295,-851640136,521499169,785490742,378263553,243992885,12060983,-1021194942,126540289,-115392468,9496771,512627314,108342273,158205638,113689345,-1023407762,1006665729,-1173786110,1323827330,-197269237,748690945,158211722,1589255950,-383194327,1474883329,855750656,91556978,567083442,-841862655,243974945,-922091392,-1070407307,-628481791,-399947334,1153043222,1977289257,691976705,-401929751,28835874,1963618862,-1021195007,567134462,-2146530621,1976109568,-850086911,-1160213983,-873780909,-1409262146,1866211329,229448565,1849434144,-58718603,-1022462719,1969645117,540847112,-1057094795,675985921,503759865,-1064384372,113760398,851969,730400454,-1979267200,-401800917,-1712848895,-888725760,-402619970,222098799,767244545,17492015,110117867,-1090056617,716450817,-1952964147,65458672,13009392,-1176925439,-1527578621,-1951784784,-1295348797,-2030897663,766743236,-1174331671,1340614436,-3676159,-1155058246,-1326960851,1916171264,-1019565055,-952499084,-706204555,-1188597248,1015023361,-1341426675,-1947928988,12773576,-997583871,-939327308,1963801772,-852773879,1975519745,364561153,168093735,-2118207765,-187045887,309595452,-398837061,518717556,-852708351,-382029023,1471807656,165734439,872410625,661174985,-398837061,1718878271,-896847103,1017958963,975336461,-1289325117,6219777,-192274574,1947024556,1975728656,5171201,-729149582,1963801772,-852642808,1958742529,659077681,-351693336,159574198,-1984296447,-400437973,-1950420365,222068779,501748737,-1978699264,-1019564812,-75493772,1308914945,985858226,-92931641,-1979710488,283689729,-1964019200,649440,181732466,17620993,738495171,1022980656,-193792758,106414849,-960559346,-1211790804,2746384,-1968520447,2222273,-1968520310,1697990,1966799617,-1439780861,216580746,-1430244608,-399718911,1594296591,-2046110525,808455620,41234433,12044074,1351795627,1476970216,1377747713,777081680,748691086,175586944,-402230015,719847433,1482381568,-2134696102,665089,649729908,1023457290,-608558643,-1962184191,-2030063400,413276231,521061120,-2131957503,675646,1048589940,1946159694,172997121,-851639880,856519201,-1949748270,1107474433,283845069,856313786,-851659575,639744513,-661927822,1200029616,1679896,272531457,225771310,784545419,772880009,772802049,-1947388929,-1288781002,779075371,-167209471,594837703,1963050998,32303344,-1074614527,12070105,-1155412695,-625070695,356420353,109766702,-402486295,-1070398536,-1557349631,-1130222401,288787244,-1019836114,46196737,-1947663500,38856961,-1180450765,749904385,-1573991262,-878563640,751084334,-1573992191,279063729,779068206,-1557284701,-1734136319,760587053,1210914211,-1574125150,-1281217023,8502829,-315413581,-399609921,1198655489,1954596854,-871971323,-940179154,151680001,153925422,-349390546,-2134378787,117310465,-1588187982,1874734803,-1077531858,-956093183,-2010270301,1093514254,1049142515,113716481,11447,-1599083682,-1314771252,-790573055,784704224,-1607892038,-1073075022,37487617,-1813445770,766754283,544538940,70037505,-969231295,-1090387642,-945082952,2930433,71747072,4638210,110159872,33652225,1048581493,1966747065,72253454,767213313,18118,-1962510872,1031799422,-1173064447,2105550818,-1435157762,33572550,100945409,-1173988888,-1180621076,-2147467988,279548929,-1273728000,505531732,748691086,1973675009,28843785,857853230,8503021,1874799361,118614062,1963050998,-1221719563,147191553,-2146667264,2928958,113640820,1443114497,-1104227423,-970248593,53352639,773169921,773066376,-2002455743,1580078910,552125697,-406853628,-402384152,-1679228835,34793473,751056523,1978203955,646298351,-385454847,1048634526,1962945713,773372507,-402234879,-608506046,61860133,785621334,724463361,773373894,363054851,336496686,-1527561983,773275272,-389706914,1726481351,63039489,749813376,856388864,750494400,-1574125823,914959548,213855939,773045548,-1962631679,-1020390090,785137280,-352160512,-1947389183,-1288781002,779075371,-167363864,-344686591,1963050998,-7280400,-1207935809,567093505,-2144462687,41171708,1076641968,-1275044863,8972305,-264836964,-385649507,-1070399743,750847622,192200714,-1090515783,1438526721,849670957,784835264,773144203,-399682047,1048639006,1962945713,386332167,158597633,-399632198,1894253963,5368046,749813249,-401967872,91357452,750454470,-1321304063,225706028,-167655704,-13758458,-320273663,846076,113641333,-352310084,-12261119,116789940,1963077143,-1008465405,-1172655103,567094613,6077016,-1073077811,-1358510591,414842924,1023457326,-260955699,512350209,12070508,-1994273449,-1993421546,-1204891903,567100416,-2004819328,1949199894,-935428095,108265518,-383182918,512426573,244002305,378219709,-903140161,1088949877,-901873663,1702166574,750587531,-1575055842,-851463167,1433542433,1373882507,778976896,-2146994943,3066686,-779412620,750730891,-1912202751,-231955962,91555758,749668094,-1949226239,-1089600566,-1089566420,-1123140820,-401837567,1048576235,1962946250,-2138051824,3042817,1048577908,1946168495,1813941121,-851528703,1048625953,1962945724,750231800,1946284545,-1088517322,-1122092244,-402033364,41156609,-617364487,-1575055842,436717356,117382913,113650879,-1610600761,-466473271,750716417,20776306,-396135424,-730529674,784940545,-1957202944,-1959916514,-1959866610,-2144416511,3065150,750006644,-506453555,-506339071,-506338863,-838144304,-852839343,-1125547775,-773224953,-790179615,-790179610,-2132357119,-703987499,-1202063990,567105281,567098881,751044351,750520062,512476152,-420991487,767081215,567099828,751044295,-387252223,1345106336,1476396776,749798970,-905525759,1048576046,1946168507,8448259,-402572287,376767238,778976896,-2146470656,2928897,1948661690,-955857317,28836142,-952205311,74776622,-919389004,-852641606,639744513,212024946,-1157183954,-661978836,-851181567,236357665,-2134706642,-1214238092,1963729921,785096713,784860682,544872564,477366273,843317688,550142198,772675208,216736001,113669611,-2147209525,70173966,784809473,-400722688,410321538,778976896,-1173261055,-135780773,-1090074878,-33554388,-1020343807,772546187,243779891,-203215681,784926209,784809600,861238528,512630482,1085549569,-1172364851,527574508,-747321301,772670977,-166431616,539889158,1048578677,1962946049,1014253887,-399924550,117310114,1048587265,1946168507,203328276,-851528658,767080961,567099828,750454470,-66983680,-779628031,-851312200,-1354858463,74711084,567099393,2047616195,136597520,1479461026,-878574591,-989460434,785096750,-2134654966,-13782271,213847157,766754092,-402599192,-1070404607,772736646,58048522,-1962901527,-1087523583,12070165,-1591620311,-58708552,-1342016511,-888239552,-1572852690,-1214239467,388401665,33695022,326418442,259376186,785137153,-33000448,841879558,872868800,-792452607,-872019224,749838894,-523181872,-2144418559,3065918,-878566283,1976109614,1958742529,-1089565927,-1340873940,-13433318,748815873,1963437810,1049186053,1455107263,-1321304063,57933868,-1104307781,1049308438,146353409,1060940800,126485109,24387644,-236829951,1015022513,-1340967904,1017948718,-1979550463,1948269575,-498882047,-1430244623,71759361,-1960676094,96633813,-851640136,-1961463295,1140898008,1051992525,-1024056883,-163482367,1946420294,89557819,1950023296,-2143243775,-1729609494,-2083157007,2122974658,115834881,1963392896,41323286,989756544,1187382785,99287552,16795334,-2141263026,91554305,18118,-851725117,-400133599,-91495167,-930365389,1336865353,-970152544,973209601,91553605,4638378,72253441,3991553,4638403,75401728,1946470390,4638209,41323266,1946172544,775716896,2088770305,91503358,16795334,-2032455090,-851725311,1914471969,-453711868,-366220861,-2147320319,-1207172794,146353727,-2035617024,-997807615,-1426914383,-1012219854,415125585,767082241,749735562,2088823178,91568641,-1975440383,25002184,-1979157190,742868741,988318209,-400525847,460587040,-1946205045,575733505,259348673,74788412,132899850,1966012673,1491929602,1973863257,-8617810,-341281791,1364336373,521031763,-2010331461,-1143764223,-880082943,567099572,1515805528,1397801729,45819056,1343351552,149622192,-349917183,-1070379005,113491,-91531439,117440257,-1359870178,1239021319,-851397559,990474753,1594193345,-1017619623,109977358,-323343359,1048585765,1946159735,113649161,-1174402559,-202823439,-1547684893,-694014253,785883649,1469905034,-391329485,326494855,-160161791,-227276484,785843846,-361447414,-402593279,-1019548193,-813693579,1021045632,-385649407,104464592,58010788,-2147429911,326449665,-1409220888,-1996424472,-970009794,3069185,-1996454423,-970009794,3069190,1977999873,-1331671016,-398392276,984613079,1476448769,785596041,785712838,1965964288,-704184831,-720976338,1060962094,-813694091,1965702145,47153189,1048577972,1946169046,-1342000127,-718919105,-2041417170,-2046172191,9562113,-136126074,-1998003834,-2145749531,-940178431,-1992526590,-13708482,-970009850,-13708031,785778374,6940672,-316282708,1961472513,1947024424,-1543095772,975074348,1008366593,-964266694,-350159036,694663696,-371005183,-13440971,-107126962,787173059,-2130587903,-394264371,1011280243,-387484659,-521666559,1364657900,884934414,375044,125152769,-754974280,1508379616,11536223,-123904255,-29250877,-1020340986,1364678150,12079873,650153712,-115072,-133663491,1599690753,-1195178146,-1064386560,-2128150733,1957319937,8389898,1928331325,652274669,839015681,-773598721,2143519715,-8330367,637535745,843517322,1976110061,-339541244,1190300417,125085427,-947652349,-2132481277,91504385,1965046912,109850351,-1993462351,-114446591,-4482325,-850873089,-850873311,-1202695423,773727522,748691086,-855470406],15,[-1898279935,-1269162046,-1910387371,8436442,567089665,186425638,1526738083,-754722164,136705,-1907697012,378094298,-628228095,268499713,-617414030,-472709967,-762389876,-1070341375,785446736,766588671,-1355350226,-876442111,1631717901,543712116,1701603686,1936289025,1735289203,220465677,1936607498,544502273,1802725732,1953068832,1633820776,543712001,1701603686,1851853325,1919950948,544436993,544829025,544826731,1852139639,1634038273,168655204,1684095524,1836016416,1684955393,544370464,1701603686,1835101728,604638465,1819309380,1952539497,1768300645,1847616769,543518049,1176531567,543517801,544501505,1853189990,604638564,1970499145,1667851777,1953391977,1936286752,1886593131,224748289,1968120842,1718558836,1986946336,1852797441,1953391981,1634759456,168650083,1818838529,1919098981,1769234789,1696624239,1919906305,1176766989,543517801,1852727651,1646294017,1868767333,1684367728,1953394464,1953046529,1718379891,1126435341,1702129263,1864397825,1701060710,1852404851,1869182049,1869357057,1646294131,1919903333,1868767333,168655105,1766203428,1932027244,1868767273,1684367617,539232781,1701603654,539587368,2036473857,544433524,1701147238,1227098637,1818326529,1679844457,1702259058,1701868320,1768319233,1769234787,168652399,1920226084,543517441,1701519457,1752637561,1914728037,2036621569,773860896,606088736,1635151433,543451393,1634886000,1702126957,604638578,1299084545,1968467567,1684363109,1182099540,1632856321,1225395572,1818326638,1679844457,610628609,1920103747,544501349,1702125924,544434433,1158286628,1919251566,2003136032,1952539649,606091877,1850280461,1768710518,1769218049,1126458733,1701999221,1948284014,543517953,606106473,1850018317,544367988,544695553,1701669236,1092886586,2032166258,1931506945,543519349,1311725864,606093097,1229208577,538984018,1112089632,1699749965,1852797697,1126198369,1970302319,544367988,542330625,1936876886,544108393,1867915300,1701672193,544106784,1986622052,539238501,606106369,1935763488,544173600,1700946284,1850287105,1768710518,1768169572,1952671090,226062849,1851073546,1701601889,544175136,1634038273,1679844724,1667592809,2037542772,1227098625,1818326638,1881171049,745043041,1953459713,1919509536,1869898597,221018482,544370433,1701996900,1919906915,1869488249,1835343873,226063472,1967989770,1931506803,1768121601,1327528294,1919885390,1179012896,539232769,1701996868,1919906915,1718558841,1310990337,1632641135,606103668,1213481296,1330794497,1028935757,1635151433,543451500,1986621953,1852383333,1634038560,543712114,1752457473,1227098637,1818326638,1679844457,1667855873,604638565,1700946252,1869488236,1868963841,224685685,2035491850,2019652718,1920099585,168653423,1329990948,1633886290,1953459713,543515168,1953719662,168649829,1953384705,1701671525,1952541028,1768300645,1696621825,1919906418,1920295968,543649385,1701865729,1126435341,1869508193,1868832884,1852400129,544830049,1684104562,1919295603,1629515009,1986356256,224748393,1718559754,604638465,168652399,1163018788,1763724097,1445208065,1179210309,1936269401,1128604704,1763725057,1227104371,1818326638,1881171049,543716353,1713402479,543517801,1701667182,1227098625,1818326638,1847616617,1700949365,1718558721,1918988320,1952804193,225669733,1917133825,544370546,1953067639,543649385,1679847169,1667855973,604638565,532488,844831489,407585866,1343807828,-2092035693,241194497,1276053319,255987467,196960015,1159322113,-112718077,251613454,1330512640,169187841,1330795077,1447382098,371739717,1230521601,367678547,1229194240,167379282,1313165825,21318977,1375997106,-1308537275,1380255233,21320513,1141115965,1023495237,1498678529,-285129392,1163002892,17039437,1347371777,449577305,1430343686,520111443,1094976769,939541844,1230243096,-838843059,1163265025,240582738,1280267780,51234817,-1509866495,1212352018,22169924,1292047014,316211457,1145785606,-654224823,1146225426,101912065,1229213010,319684946,1163018758,-1845474559,1163265815,1497778514,68667136,5522689,1342640143,1347243858,268042324,1413566465,262144072,1230521605,298385492,1414808321,301400409,1212368133,391708751,1414481665,378929231,1229476614,1442862150,1179190017,68505600,5394246,1124340840,1392530177,41943058,877430,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1979875328,3427,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,6044226,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1107296256,776164865,5066563,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,76611584,100467969,42163247,73663796,67110196,1,0,0,7024640,1,809369600,976236602,908998192,808976385,0,1129709568,538976288,1061101569,63,2097152256,56130,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1129710080,538976288,1329799200,8193,0,0,59815936,1803550721,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,-352321536,133169406,393217,-653918182,1025796,72449,-1993754367,-416695253,-66263284,2690309,16706305,217188336,-1341785044,-1341723124,15860225,0,0,0,12066561,-2011050701,856000022,855750866,1370759425,512303565,-1014102647,-1289829322,109848065,-1993998288,-1275056610,-1977496295,-854674431,93037089,-759692111,250139392,-1547500799,-270006905,-1962636540,1418396252,272928257,1007574158,-1341688317,79227137,37550849,-1993411212,772099614,89130636,89301505,1728497198,12058629,1914817853,1403203073,-1193768187,567100416,1954595574,-352145407,113716939,1381,1376187950,1618280961,1312212270,184847109,772830656,92872193,771763361,184902051,-62556992,-13385727,847249337,1957622464,-385175547,1974337537,-544516108,-1324366973,116118276,567101441,57891103,-1912569879,1638084288,-1047768831,992922371,1493534494,-164402057,-1527513343,515448590,1394510592,90749445,-857203199,-851463165,63891489,1316095775,1962941953,1950253849,91553797,90638022,90743041,1952075069,1297759496,-1024916620,91005185,-523041359,91227691,-167422045,33903105,1053043572,-1960442546,92578565,38112001,-385526365,145752250,196084459,512437761,1760036179,-851528701,-1746315231,-4501503,1219763967,1478435277,-2097147899,-697167615,-763903173,90652288,51934464,1912959489,2009283525,1913007041,1946551045,990147073,-1962772797,-661971261,90381961,567101441,-1549569505,268764517,1732149248,192151553,90375683,89589291,-1560276947,-2069691135,-2029634811,53114629,990205702,1980073729,1732149295,628359173,371970187,369296641,372966743,360121735,721782689,-351971583,-2117432118,989878722,-338267198,-12130047,91231883,-754667182,212949218,-930355199,89333387,1107343390,-1960894003,-2130356479,1913651451,266386179,89595433,-754667263,-1949594653,503665438,92544654,-397291007,1068761723,2112365005,991910146,192240385,92544513,89603715,-1950321408,-1593486079,-1056766602,-1593483357,1570964856,2080818177,89760517,-1056718708,855989155,-2146006271,1394510597,12066309,522308930,-1175911679,1846971390,1757041157,1882373,1394510593,417865221,-851463166,35317793,-562931199,-1090517063,-1959918232,-2096802506,57999361,637586921,-661905979,-661731837,-972880127,-947714167,-471709180,-1175773434,788424449,89261814,772568066,89011909,-2069680639,-1153307899,1219821567,-620027443,-1993417215,-1274715362,773967176,84239779,-1557266431,-343734908,244002320,-1053096569,-936703999,41405243,-75376245,141758464,78758657,65790163,1358954424,1394510638,-1949748479,1107343569,-1959910963,1493521182,-2078372351,1372730117,-1274976536,-400437953,996016385,-385649210,-164692512,33903110,-1590812159,271385988,1537420800,113716741,16778497,914959950,-1557265059,-661781153,1025,1394510638,19261445,567099060,771827457,89261814,-385649662,-1959919271,-1106942719,-1590820863,-1073019551,-1907882636,773097729,1208313249,344578190,-850021294,784502273,92870281,922693210,-1893333663,771763201,90388107,-1993936381,771752502,89011713,1959089694,833798,6078289,-1527571455,-1414807501,505372249,175424854,-1979683839,-1415253188,-987799893,-2135358860,-201749759,784989860,93011514,-108395402,-13499903,-1960953298,-1979419131,839052249,13953025,-15436545,1962873460,309657364,168201985,110044672,-1070399476,110090382,110034945,508690570,-1994486226,8436229,567089665,-164734433,17125894,-986831244,772103425,89013956,274566182,478760526,242583809,1493615918,1569465861,1166616084,-1872434431,771782888,89732805,378416890,-1959918335,-83534554,-1030859234,-1014244722,12276481,911360,777241435,92872331,1526727169,777002691,184902049,1208448192,512350209,-1590820863,-1073019547,-1907882124,18778369,-1021356032,-16769560,-466479500,-107150335,-393213461,1962868750,-1661428458,-1895822335,-1460988348,918888214,1354959795,378154497,28837254,1512164659,186434392,83887361,1392853760,65608,10108678,392449,393226,587205097,808464432,-2144325631,-661731188,-1064382322,1922041484,-1133829400,-1275066864,33947663,0],176,[1,1882288193,38,1881174048,1,1881174083,1,1883467816,1,1881174057,1,1882812465,1,1882812471,1,1882288172,1,1882746937,1,1881174065,1,1886351443,1,1886679142,1,1885433975,1,1885696114,1,1883336736,1,1886679154,1,1881960563,1,1883861024,1,1885565038,1,1881174062,1,1881174048,1,1884712992,1,1882026051,1,1882681393,1,1884909622,1,1882026034,1,1883402313,1,1882026061,1,1883598932,1,1884581971,12,1881174048,1,120588081,1,120588067,3,120588080,36,119539488,3,1881174048,1,1883336736,4,1881174048,1,1881174082,3,1881174048,1,1883467808,4,1881174048,1,1881174084,3,1881174048,1,1883598880,4,1881174048,1,1881174086,3,1881174048,1,1883729952,4,1881174048,1,1881174088,1,1881174048,1,119566368,2,119539488,1,1881174048,1,1881174065,4,1881174048,34,119539488,1,1881174048,1,119566386,38,119539488,1,1881174048,1,119566387,38,119539488,1,1881174048,1,119566388,38,119539488,1,1881174048,1,119566389,38,119539488,1,1881174048,1,119566390,38,119539488,1,1881174048,1,119566391,38,119539488,1,1881174048,1,119566392,38,119539488,1,1881174048,1,119566393,38,119539488,1,1882288160,1,119566384,38,119539488,1,1882288160,1,119566385,38,119539488,1,1882288160,1,119566386,38,119539488,1,1882288160,1,119566387,38,119539488,1,1882288160,1,119566388,38,119539488,1,1882288160,1,119566389,38,119539488,1,1882288160,1,119566390,38,119539488,1,1882288160,1,119566391,38,119539488,1,1882288160,1,119566392,38,119539488,1,1882288160,1,119566393,38,119539488,1,1882353696,1,119566384,38,119539488,1,1882353696,1,119566385,62,119539488],246,[3900608489,3905645479,3251332354,0,0,0,0,0,0,2486055680,1534289933,1712675089,2400599607,3054562577,202569744,890293806,756113169,1343440942,455030063,1477574189,2434527262,3190719778,1393016327,773014302,2315255839,2618384158,2737741102,3744396078,1477617974,3089250578,4213364754,17825295,3641705488,809305108,6135869,0,1061005568,69508644,1816351296,3460394305,3880988481,324871762,692466502,3512208728,2470956359,391129681,2770954324,472494377,2524872805,2272326013,209325688,4100097139,3447369081,1026264186,3894114846,3911587624,187234345,1193443369,304483625,2904257830,2188071275,4200963179,307664981,2554642519,927247428,1459701761,3020000001,3842103553,4177654785,369235201,1342315010,1828872706,2835514882,3741493762,973284098,1292059395,1761830147,1426287107,1319817044,3544379076,248402950,1426259,3310764371,1095716034,1162200004,1325450704,3218231116,3310571340,3561902011,1095060633,1381208786,3687729484,483675721,499600979,516702788,1208800079,1092002898,1286851660,1157677267,3310634316,3243524521,2261600644,1414743621,1178971346,2916372041,1314080325,1178971847,2949399108,9946693,2714063692,1384236110,2781172545,2798930244,3528413778,3570160295,1490408018,3327069136,4057354531,2194820864,3310539214,534268175,3478408960,1411403657,1397721551,9290325,446978117,1431326208,2345043412,3528741710,97799896,1292947534,1263465168,3735312709,3645177856,1129251017,3401929793,1313428048,1229757908,1352586323,1159451471,1313442004,1095741637,1397341380,3343881172,616779530,1158860357,27546694,2475599,3528414287,1196574145,3293560261,2755938803,1480916995,3611657172,3553906580,3460648960,2631161274,4023555534,430199875,1330205776,3326523598,1230110941,1334957134,1335412043,1162154451,1163073483,1163052756,3352577363,3561900367,550389212,3461677056,1431586186,1166986834,1166525505,1380930643,3443887301,1431520655,1235797325,2756986951,147082754,3444919877,1145979307,1514753359,1124121029,3460646226,3494859976,3493943184,3310764452,2822983870,3494204626,80627663,1225249361,1381239246,1381241764,2756136521,1128354006,1327014981,3301199445,3410184532,1230132257,1207968455,1389219397,1386401359,2747680335,3467133505,3460418767,1230176269,1406650190,1090572498,1379996876,3671217232,1413761280,1229037768,1229493972,1169278284,1387447374,3083162697,4040314624,2868903936,2867506665,3740053483,2817842413,3186015961,15252711,2088532345,1011241087,2071603250,27522,1681615789,1722313553,1817404163,1702126368,1662608146,1663591233,1667916849,1669948239,1706301655,1480936960,1769414740,1970235508,1329995892,2035482706,2019652718,1920099616,1375761007,1381323845,1769414734,1970235508,1330061428,4347219,544503119,1142974063,4281409,1701604425,543973735,1668183398,1852795252,1818321696,1984888940,1818653285,1325430639,1864397941,1701650534,2037542765,1684952320,1852401253,1814062181,543518313,1651340654,1392538213,1668506229,1953524082,1953853216,543584032,1735287154,1967390821,1667853424,543519841,1768318276,1769236846,1140878959,1936291433,544108393,2048948578,7303781,1701604425,543973735,1701996900,1409315939,543518841,1836280173,1751348321,1953844992,543584032,1769108595,1931503470,1701011824,1920226048,543649385,544173940,1735290732,1920226048,543649385,1836216166,543255669,544173940,1886220131,7890284,661545283,1868767348,1852404846,1426089333,1717920878,1684369001,1702065440,1969627250,1769235310,1308651119,1163010159,1162696019,1397051904,541412693,1752459639,544503151,1869771365,1851064434,1852404336,1818386804,1919230053,7499634,1936943437,543649385,1919250543,6581857,1701734732,1718968864,544367974,1919252079,2003790950,1986348032,543515497,1701669204,7632239,1769366852,1176528227,1953264993,1380926976,1953060640,1953853288,1480936992,1968111700,1718558836,1885425696,1056993893,1229477632,1998603596,1869116521,1461744757,4476485,1145980247,1953068832,1953853288,1229477664,1174422860,1145849161,1702260512,1869375090,1850278007,1852990836,1696623713,1919906418,1684095488,1818846752,1970151525,1919246957,1818838528,1869488229,1868963956,6581877,543449410,1701603686,1685024032,1766195301,1629513068,1634038380,1864399204,7234928,1698955327,1701013878,1328498976,1920091424,1174434415,543517801,1701997665,544826465,1936291941,1056994164,1140866816,543912809,1819047270,1886275840,1881175157,544502625,6581861,543449410,1868785010,1847616626,1700949365,1631715442,1768300644,1847616876,6647137,1766064191,1952671090,1635021600,1701668212,1763734638,1768300654,1409312108,1830842223,544829025,1701603686,115,270451456,1338462720,1338462848,3405833344,4294967295,4294967295,4294967295,4294967295,4294967295,1342177281,124911672,118489086,1034,0,0,0,0,0,1792,2098951,0,0,404226304,0,65616,117899264,0,16777216,16842752,16843009,16843009,16843009,16843009,16843009,16843009,544106784,4285222656,1916928013,7037285,50332859,126501852,1974549571,440583,4058765571,24412732,1125092035,1396912010,3523991947,74766983,3661355655,1526730937,3640911476,3048853483,9562376,512460493,3347709998,3237921570,1335888244,2998929923,3914167571,1035085501,3107566265,2998482610,884128053,3107173049,2998484658,1085454647,3107959481,2998481586,984791363,512434923,512295735,45219886,3104551609,2998469042,313702666,3105141433,2998470322,229816598,916635698,6267397,2718196386,512426080,512294958,3224503111,2718197154,3347711083,3237921570,512296052,213451593,1159629576,632416515,2328005209,2663114,54730379,55254665,512481927,3347710791,3237921570,512297588,3666281300,55975561,55385739,3666336523,1946374075,1963401739,2265972231,108259802,126402610,149475722,62176036,3263858637,141771836,108212796,108142396,321661104,2318323850,3221897991,1129052277,4067805950,1193184083,3733413379,780717398,1060898698,3143304821,3572171700,1534246632,1006632634,1971965402,1978591491,3273836426,57983230,2958858728,586279167,2328713648,1872937010,1010558976,3139672808,2364016429,2662514,57999916,3442339560,4294949771,3022473,167984800,2336847040,1392721694,1516004840,24635474,41036464,2900893872,679798818,839807834,54436544,3224547563,3942858402,1092520725,1926890243,4189737713,1524251647,512354419,4154458943,1958742529,766044586,1915245032,99215522,3372138750,3902577012,141756205,1965462504,4269205763,2315532520,1965046791,1542514691,20047954,512335194,2362245955,1877541746,3897643579,2968010222,2629831173,55121545,1912664296,1973198089,129034499,2622603274,447604819,1364827483,3605529459,1386043928,2690271092,3221881963,512428149,512295690,512426799,2271085400,1398363870,3897809155,2304465685,2265143326,1497336026,1128485722,1128470409,1224784058,2336835913,126397682,2320056899,1975847617,1519242738,2332040936,2298800414,3892531742,2395808585,55713419,82386569,2348734697,2264936478,2331937498,1124567770,24446730,1128481731,3221882762,540807284,188544371,4259901810,83486724,2269375723,3944188378,47828,1008170066,1511224364,1376134120,742137204,2951223668,41216547,4206505020,3892540671,125044236,57945148,2315084777,2265135902,2271107802,2337494750,2332045342,1124567755,1268713226,1133868190,991923011,2346290138,2289366303,3951391733,2730504930,4238476029,3113209090,3099197755,168266240,3139466688,3280601408,3364536618,3306866570,3082545290,2344628736,2336402170,2336402170,1019456250,3909317922,540803123,4238346612,2327841282,1127183367,39118928,1949969496,1967799302,2718019592,4255253244,1968516098,126505132,1951973386,1946630826,126505178,36497475,172223723,1267890368,2444246844,58020178,3120620265,3538420587,606726158,787022707,1589269249,2156555,4041752181,191019523,2952795624,3909318025,1706688520,583691,2377131637,11397465,2888757899,24494090,3905456835,3241807509,1111750261,1330113259,1330905120,4347136,243263579,3146829139,1093402883,3364536322,3640852661,1528269614,1726501699,2345175566,615263986,3909318015,977469867,2337306049,1118580466,3799629834,675070346,4069203316,3510414382,3493598580,921178484,1949187086,365422595,57802928,1476492009,2888757899,3221918157,602473337,207247616,4289745024,838947304,50176704,21555288,1543418601,2888757899,2042628674,2381005559,2462928971,2316045498,787647432,1958742700,3241820695,351007605,2846599820,2715068582,2308871050,9293198,49004594,4255252912,1515804674,1968218428,16443395,1974549592,16050181,3644647856,3337159540,3857207296,3901730816,1347944674,2331946473,1949187079,1916419086,9496835,57880636,2684389865,3221881597,1515784074,1659437945,1009218814,3909317934,246480473,1375776232,3892570344,2271084797,3666302686,2615722890,1539803648,3909129704,1364393471,535299978,14674013,2689817177,37487355,512432757,3347711139,45137930,3280604789,263453578,3362982460,3421180164,80269392,6088731,3892618171,57806415,1476698043,3892808272,1129840714,4101359870,4256033115,1107520186,2888757899,58031908,1107323881,4069197626,3950357550,1006661609,3909317670,3897818565,3898278411,1211894999,41225136,199756976,3897643520,3914927321,984678236,1118501515,180456009,3271652549,2615744434,1536413178,2731081291,1515782909,3893141736,3896770526,4041739417,1022653217,1007186746,1022128944,3924325422,126549299,175317052,108267836,41159228,2689605808,3237872381,3372089972,1274978281,540805002,154990964,171767156,3276009844,966943920,701687811,3877656040,991332690,50044931,159115344,703091544,72792848,1532380648,3897776474,512295837,45810485,3906732800,511048051,1263720707,2320185226,1396917015,53812875,1515969083,2337990005,1159629283,2270867715,3892883930,2337480419,1577268510,1398201991,3022475,1457424222,3424644584,1963793128,4190562563,3253273458,250125561,2018745609,1894659,1583188712,3126255239,126484481,58052412,1376834792,3906635603,669734598,3898413800,1364940209,2164308306,3599430026,126522573,28364604,3488091765,4108866312,1435756636,1533874920,3364508241,2316090088,3897250280,57933995,3908650985,2699564673,2337493760,2298763806,2332044830,1577270046,3042369159,2258588034,3297136836,1355056799,3488203910,1367520612,3421061867,4178766328,7727299,2513260779,3910099945,3221881557,2319706997,118113031,2336481396,378094359,116785198,1962869878,1538282278,2266811112,1450240218,3236453808,334191388,2615711437,1160153373,1126074627,1007127043,1136620858,977012618,3904547698,2759086606,2876408108,2725464636,3221414962,2546856075,632618798,126501632,24263228,1948269763,1007186676,3237934384,180603134,1023112384,1014133259,2684777758,3221881600,1947221187,2722320444,472646400,4113316211,4265346931,126491509,4263414083,2315302658,35555800,2718085123,79364865,3221903360,1124567747,4263414083,1066027778,938009067,4263414528,4271106818,2730545344,1364329217,2265121466,3907554010,3666302227,512318041,3143107326,3221880836,1913208003,4285131011,4277481532,3284729536,1006829728,1008169743,2333307405,1963131422,1128481546,2319652746,3923412791,27284586,50045443,292816956,50470539,77799049,50601611,77930121,50510787,2991889897,45267203],247,[3104092857,988285106,129939743,753234513,2328398401,4278577384,259385916,3909025512,3497140001,3901374764,2331964136,1925262021,1589706435,3143032455,11862880,394844419,1976106563,126508025,2826251324,3959344872,4274645173,2031006696,3909464731,126547834,378220092,58000201,1274983145,1023323880,1006793742,35031821,3909317891,3224567455,1258487970,3892314298,24313491,1352618947,991533243,2317054682,64654078,64685018,1490748378,2318412958,50378448,1541048282,2656622059,58049371,1008499945,1007121422,3909317645,1978151075,250132764,61939435,3894149864,1398407061,773753683,3733413376,2676863062,2253440134,82530756,4286310481,1006829728,1960478477,1947090108,4139706627,2337528455,1577254430,3898007175,1396899921,3022475,1935399483,4182763523,1189610354,1225618425,1034030512,4243086083,3285814034,2749958322,1972948470,3909072630,3817600506,54861449,62033212,2347303796,512318454,3904569390,3733413390,2975576150,2969758522,2315302144,2328726209,2968013800,1958742781,1959082686,574374842,3237931380,2351754356,3308971893,4035626514,72933355,3893684995,1609049564,378136348,2689729339,3897557755,1582826885,2320948871,50045160,3314206010,635962996,50044940,1006937018,3120787973,1012073631,2335274243,1392812830,2333576003,989868062,2333176794,990075934,292772570,990063803,2953475034,384231514,870898311,383707156,1457424222,1515372264,2805777243,417870453,468510973,4267698313,225759755,2331529192,1540459253,334037874,1293322751,2698670595,3221881679,3514090122,2315266208,4123978192,2316101096,1021872647,3892671629,1267276722,3388918410,58049930,3908876777,742194714,4008421237,2332250042,3221925106,1760101237,2730557173,4203413544,1007127210,3893392515,2239102453,57987595,4278088169,3892767680,24444055,1260293059,2346354435,2298693406,2264935966,2330818010,1975519751,1128481540,3001631555,208726270,3221936757,2766734197,4112574973,1375734458,2649235316,1591379965,1951850119,3906635542,2334923558,1946370326,4254328840,3790144372,2329577460,1975716551,4252100867,54599305,1526939298,54468233,4124830041,2315529448,1965833223,4229556227,91523388,3441093096,3538441035,427055953,1979451112,238863105,3437822837,1947024637,4225820931,50470539,3892426435,3221945897,3840472692,1973501179,1976499954,3906071534,65732970,1261542376,1979436776,421390339,1072235381,1977039873,661383427,58052156,1006676969,3909318098,1012072612,1013806124,3909317947,3898147095,3897754537,259262371,3898425832,130421442,2736687904,3439853060,2736688025,971526916,3893195804,58196273,3892326889,65750401,2315266464,1958805224,471787555,1726482292,3943139909,996730883,3221902171,117575284,4261704693,1925528264,412739587,316598363,4285262171,851024589,3911092992,3906536196,126491624,715135093,3907553792,4282137394,3308915828,1827144562,3909317144,237764743,3505847411,3897586411,4058577671,1011898378,1241609426,3221931658,65602424,47616,463923283,2666007924,3909318656,4008181781,2684611396,3632922665,125092094,2095579319,1541048145,689545704,3526121547,3105059923,512426034,3640853737,2317053928,3892540679,3505797822,275956226,427081982,2316826344,2043215554,911619,3901407486,417865904,1976434199,2296929273,4273793530,3224542157,3897643603,1515793542,4169842738,512350346,3277522153,2680173139,2253440134,719972548,3806921588,783897586,3053629952,2295923709,1526771767,3895060201,3221892659,1954888899,866314499,2233012712,58008380,3895470313,1944591664,578480128,1380926696,480766035,57891162,1360610793,3892360530,2958758213,4237551875,1684361791,1919295599,1931505007,1953653108,2319646733,1975519751,4069714179,4067762748,1526766569,3440175963,54173852,57982986,1509061609,3893694651,512452107,3905094467,3142791060,3773366774,1948466176,482273522,1360366777,11543100,1604517808,3906958596,126488795,175451196,1604501554,4187875332,1877476587,3897768728,3277525296,73375827,175423498,216547248,3894456342,48764423,57891100,1360568809,983744562,738706947,1398528647,2957726290,54108800,3908656872,126493349,1965571147,11879200,1290323454,3909318137,574419432,1172898677,1948794111,1965636843,1976434409,4180797669,742131572,3387491188,3733413617,1007127126,3909317676,28376881,3892619682,2845835362,1959329284,4280281347,84797523,2364015477,3897252626,2271148283,126506718,2339646524,3974646619,1539312376,183042932,738707199,2337474283,218324510,983744562,3733413379,3892636502,3895203746,2271093016,2320651998,1949056007,54173706,57982986,218139625,1386397746,425912324,2347303796,78243886,3896014160,4035639451,574417034,983567988,2327841283,3053614320,1261221178,1477424872,3364487940,168055456,3271652800,3666329994,1578551995,1381424775,3908759785,1348008035,2612593980,57889046,3914529257,3897250557,125106255,57945148,1593729257,1263984263,1962426088,4285262083,54173786,3666329610,904463220,3915076119,1659436450,1975519994,126501653,2986805827,3909317892,2336485582,378094359,149422903,1971600632,4283427293,3877033448,3892315369,1260918478,2974941366,363194369,3001589197,2730504705,512296104,512426834,2321089362,824084743,1944468483,3913073409,3912004978,209047690,1006828448,1975683587,282519811,3849522236,3053682875,2329543424,931802821,3581134394,389986641,3452340817,1954495646,1917926500,1023288429,2691134586,53215995,1038680949,4290775792,2030347062,1173763,77936383,149488506,2671181568,2704736004,2315453444,1374194378,1360536505,53550731,3070190569,1927687168,1929591860,3489741872,986067664,1945144006,4024363267,53550729,3958847208,1399187680,3108780008,2142659881,3897739755,1398428595,3944427961,1019579070,3271651940,79319633,453229412,51505235,1994982260,2736688127,3367588612,1503456037,4238524810,50044930,225822010,678691388,58000444,1929412585,2331019833,1946696901,1019644462,2320987144,1946434757,1019644518,3909317891,1702096764,3036916411,64553728,260714201,797584963,2736687962,3905114372,635982604,512318284,2304443553,1493475102,1264248922,3142776808,4238345110,46190594,316181187,2328046279,529215224,3314213887,1274472528,50045528,3547595836,2736687451,3906071300,1515803287,3942883515,1642617805,1248192587,1531652328,77930121,2736687451,1407576836,1357437575,1172855626,1246357579,3897310185,58062387,1945036009,1355606275,1914064616,14412035,57876540,3455483881,1975582367,23783683,3913074942,3929855348,2951283573,1965177856,221112579,58053436,1006759145,3909317926,3577479377,3907521653,2662645,38004819,3560751963,3639086453,512447477,4159177543,1019435850,3895358938,2615735751,591144980,3102215541,1088967429,1541048102,3892315113,2213027577,2270374164,1977289690,4141738243,1531678184,1976581315,33614083,58054716,1007717353,3909318088,3694934992,1290339189,1977498670,318368003,58054204,1007644905,3909318021,3678153272,2766734197,1976646715,41871619,3908919528,3274249262,1575517622,1377733629,3605549827,3905117027,2270371220,2736687578,21096452,2951218036,2328058698,1918974983,1937456377,3277792501,57943612,3136711913,417857536,4293257461,963923772,880101436,2319648181,4292208647,2266311400,1007317978,743273274,3947459120,1934048262,53947459,64685019,182125531,2279115459,1976434394,3985435089,4107659339,611572359,57817148,3119344617,55642064,60584667,60322523,1502900955,808190133,3640903818,3589003911,2269813224,2319696858,1015098375,1393456391,1022663400,57957160,2957631721,3489707271,1372097216,2331281128,1929723073,4236503074,739463656,2269746408,2736688090,3733413380,3666301782,2265212392,3733413594,3894537046,2271149822,3280623326,192023612,2714573628,3892540243,3126546555,2958170581,78160385,3439376825,785974176,3472762879,2239031868,2171874620,725403390,1019412853,2684056809,4274232907,1505759936,4278502690,4176003098,3054496585,4229097562,4149252840,2736687571,434723076,50045180,3372091452,3372140798,1355123395,1481668328,1970945114,1250552067,58030908,3108529897,1011967244,184776006,1346159578,3659727733,1966881987,3285857027,91566652,3556235827,601094083,3285448666,3488209451,6529096,2951218155,2327903795,2327851736,1233447416,1375743720,1593717224,2337726087,4294606871,3169387381,129699572,922702693,2689729360,1011876603,3892540675,2270694647,77839322,4083280075,1006633145,1007711003,3893129745,44102483,3502246403,2278066896,1227738,3666336003,4292470979,303097938,113436903,1457424222,3277526921,3916746812,477417788,1393687016,1158804968,1192358376,125098636,3876710888,2298911720,3271774230,3892442088,3666280928,3666286473,675022730,854131572,4075940085,2317041640,1965636615,4112771331,739359208,3387485931,50044929,2303770634,2265141790,186616794,3909318107,126544756,57944124,3892367081,512357051,3666281265,55713419,672237032,1397801010,2159073927,3892525474,3666287344,1457424222,1342372768,4204521554,55713417,824084827,1105745923,3892621569,4173008951,2346451967,1207560419,1342372768,55713419,691799946,1005065076,2337483793,3892523294,3945533746,3835844785,3221903363,4221718132,47874,3219708931,572231,3817593859,4261655386,4069214915,2025851564,1246382838,33749920,2699594435,3364488164,1681704194,1424556914,3280621811,3871015093,2329477891,14674120,1360840121,4103727441,55713419,1408367336,53550731,688966120,512316080,2090861361,1342440451,3364538576,1477416680,3505834122,3632972030,3691249591,3126059915,2666005370,512318208,512426874,512295908,3414885244,3120791227,2263352294,2331544064,3827206616,1344178947,512312068,3347711056,1302512394,824085252,4187023363,4052609099,703136628,4253935850,750391669,2736687875,1926904580,142403590,2332616424,2315483678,1137937143,1125091907,1094791050,2059092289,3139587,3817593479,72359563,1344178507,180849156,72196803,609441883,59554567,11913354,4243118339,2344836092,126397682,2320056899,1975585477,2337522674,1124085278,1968954123,3909923572,3890801102,2159071503,167983522,3922233863,2117867867,2649293684,126501865,1971534915,212134147,58040380,1010282473,3909318050,2179545280,74836201,3924613767,1642659129,2817020420,3420990479,3905116672,3287220208,1392503784,1258336848,1961933544,260892679,11593772,1592822360,2690047623,3221880926,3666283381,853182444,1959142082,3921894382,591194420,2531802228,4237420792,2112378997,3066464800,181466624,3909319104,3498766771,256436306,7137324,3297156954,1405388368,46303826,2966457024,3297156884,3921970768,1357389832,5040368,253814864,4515884,3897709400,854073543,2042628666,4050774275,394811971,787006299,867756032,738208162,83653390,4275107356,2730623680,3905093674,451473427,2632471544,1541048140,3221931658,4026656963,3908569320,57999339,1274098409,2330981096,2145960898,3907537909,1503841775,1374352104,2334661096,1258502942,1961875176,245950478,532932652,3224502962,3139540712,512360447,1978138670,2953147664,7315969,260725339,1127189059,3238708618,1038680949,274393321,132645749,260722957,1127189059,3733413457,1004177238,57891290,1592336105,1398201991,2312800081,3892529438,2321237418,1946762247,3894456325,417860595,33012480,3892315624,2548763827,3221882762,3905094005,3947042665,33012211,3224567734,839056546,73310912,3945232872,4265820422,2329900238,2344618503,3597970169,678562620,3498713148,574371954,4238346869],248,[2717987842,581960444,276118076,3489856672,3490149080,2734499024,984613628,58310666,2315271401,1949187280,22538249,3224503411,1587550443,1958742532,1975582223,2334175243,4265716473,3271652814,1587675568,1019382276,1007120907,3909317408,4186636599,2692934570,3637510908,3637527410,1383323856,3644589962,2780516691,3480572704,2901510985,3346353468,2901510985,3212133692,2901510985,3077919292,2901510985,2943695420,4267399256,4274454214,3955687110,2321242413,4281723143,201522336,50110978,2697183282,67896060,3503354859,126543730,58033212,1023402472,3892540815,126549989,126533886,2319648117,1132405767,58040636,1011087592,2315941297,3913040647,24424880,1381061451,918266829,2984806913,1136787008,3549099914,168266286,2683466944,4101611075,973572654,2280158661,1959804122,2328968194,2321111745,2685171152,3221881950,1587675312,1008069380,839349595,73310912,1587551723,2965375492,73310975,548408692,1101724043,58052350,2315625705,772205506,2319648650,2340365520,4265716473,3909318094,3255436685,2822564217,3224503669,1527013026,3908986089,24251839,1915763907,4114234619,2296925123,1347506925,1492001256,1361163705,58002236,1010983145,3909317900,512442979,334037762,2690275663,1337066240,108268348,1219628092,649073781,1101724043,3228880638,4186686090,3472769450,27309684,2986621955,2986766848,2986505249,1007127075,3892540704,126501714,1958742595,2868480810,1959722561,50438287,3933340732,2342406559,1100983537,1006925214,1007186990,1006924868,3000202565,2328881920,1958742722,2868480777,1976499777,512475905,2934506238,3891390717,32893009,1364286041,1944592616,2331478539,3733413587,3661321046,15270770,120437742,1499002600,1577704891,2270617223,1478396890,2901576451,1101724043,1977236290,2312735732,3271776286,3892327144,2384340163,2315472926,4008255239,1501432,615639122,738941416,1526496744,1342606854,2868546307,2062074631,82334708,1541048064,1806547395,4167690321,2764961400,1006937760,3907876240,3900201131,3108537064,12226944,1077602560,1358957241,3582653834,742143348,3897690996,4002082164,1952107146,184608806,3982944300,3898088820,1378618102,1961715944,3837192451,58053131,2280475369,3733413594,1373275990,1525107944,1189630290,1524206567,3666336315,753468275,1482250989,367743571,57923843,2280464105,4189803482,1541028863,283706227,395006701,3666334219,2316072026,118113031,2275298207,1372943834,1493181672,2337430362,3523953431,3666285684,1457424222,2302925447,64653079,1541048281,3048858859,222056712,1034076210,807308035,2319665920,118113031,1136853365,3896711051,3221941115,3364547700,167984544,1958841024,1017498971,3893917095,2302471011,1558766709,1963867371,2900906717,1976699884,1009380106,1389131022,1408016104,2682686696,229678665,2028486514,603765512,1466558546,1096869979,1364417369,1531007464,2750106458,1701080661,1701734758,1768693860,2123118,3933539644,3965839442,1138394963,260719427,2955905603,603437838,4263414611,2286637826,260590383,1527220299,54370499,4168400906,3909044713,3896641970,3896576430,3897756074,2688879014,3221881949,1860764532,512447459,3666281306,56368779,57989691,1541627113,808191882,1240007539,1912749283,3812813059,4261698722,73245376,3286931176,168266286,3908596928,3947036675,3297157107,3921970768,158598937,1408402664,3947300584,3535491872,1453713444,1510793704,2414412659,2319667721,1157687303,3221882762,3840468085,203327814,1067378688,1632813915,1836016750,1836412448,544367970,1684366707,858597408,943077170,544175136,909586995,2969577783,2969758493,2264970522,773753818,1511950592,4275734276,216550341,1008170218,3893064994,3221940739,574360692,2705126773,3443268980,3221939317,2319652213,118113031,58053002,1138925033,2302875531,3892599318,2403133911,3897624437,3948538897,1971600601,48779527,3471530476,440189322,225707914,2742333756,2708845116,2641743358,1954692291,1971534998,1959657108,3919440115,3666323572,3022475,1511951187,773753092,1373275904,1494341608,3917604939,1948592826,139520008,2042252076,3733413413,773753174,3276954368,2829078687,78225924,1352638040,2829238322,3281934340,2315443176,260719367,1513065027,3605549137,4035598338,2319652746,797590287,180521563,3271652806,19711626,3224566130,3237921338,3472814451,4052470526,121258412,1956529055,1927935452,1039657023,4243065067,3892570941,803752622,42592256,1361647545,1396901770,1526770664,2319650698,911407,3906505299,3277455963,2515009968,53263104,1124567123,3277526921,2317530443,4289811445,4261907011,1958742721,1959148040,1975859716,1965178095,3903973379,1019578963,4262294828,1959395009,126503687,4118028348,3733413467,3666297686,3035152778,53263103,512447152,512295692,61867171,3892509602,800734743,2312780547,1526926366,2608138122,3909095610,3896762658,3974692754,1048373249,3472803582,4052452724,81389740,58002748,1090889192,3221941483,2656568043,512446623,3666281308,53419659,3364540662,3640917941,1926904643,790530319,3666297603,1489215064,3281962118,247111256,3909317888,3225084106,3669577887,512446758,512295690,12256047,512447232,3142779740,378209038,3661300492,1948723897,10283267,2298733243,2332315166,2298698270,2332314398,2332252190,990137110,2317055194,1128481543,323348560,1963146328,7464965,3498754098,3657629878,512482795,394986574,512479755,427033434,512350855,1128465486,1128470411,3657685639,72031881,3085687431,1544981337,1977236227,7137539,1346570122,4175971139,1125091858,1480798090,1020855123,2312992003,1526936350,11865994,3640908035,2346354499,2265133854,1960459226,667269572,180367953,2655231751,1134499722,2671217310,24485443,2345372611,990064414,1926859738,2271108083,3661321950,1457424222,1943636819,1482185187,3276886611,3674954586,2320234868,260721455,529156947,3640852663,3515544970,2345372491,3892522782,2287680672,797459215,3914062219,1397882592,77799051,1457424222,1592828136,3898007175,126499821,2736687955,117592836,1929383866,3749243139,1526586344,1577076968,3898007175,2337472575,2265132318,977114,3137342440,2271090490,3914553054,1583087111,2320948871,260719367,2318371395,4274257624,3271652811,2343367051,1111599866,2464739819,2736687931,3906635524,3666280480,2320688501,1255246581,512429962,3661300527,3224504949,3640912010,53419657,4006462299,51125899,1261406795,994774922,2314106330,3271756830,1360756665,855619560,2331019968,3284142599,1360756665,1979706856,3881167107,2333576003,3905137906,250150190,756976630,1494714371,3908924137,3555255807,4159186948,3421000437,4209519620,80013549,3733413417,3974648662,3892671729,65795553,1526708712,3892315624,548468181,3905063504,3901422828,4274388568,2344383693,2281909534,3455992583,2951477621,838902760,3733413568,2965932630,126505811,57853242,2981807498,1374179584,1398495741,1127189059,3716824970,3640852661,2833828747,3906505468,3898277623,3907649293,6744316,4069216858,3955567276,2329577404,6088711,3456026110,2565407605,3051901414,3297138689,3733413534,695581014,986250833,1912648967,3364537089,3240757130,3901407802,3934974834,4278249667,2397635445,1137740529,55779211,2284817114,3733413431,3897250134,3202934039,2287687999,3666330415,688120296,2320587353,15254506,3976456421,2968584936,376721409,4109625432,58048522,1357260521,738442728,3907841256,3018340861,2337483779,1577362206,3898007175,2749951193,3897764099,3666345552,1364745049,1365575609,1360756665,1156076112,2321046270,2328428264,2953263816,2342679296,3221925106,2574566794,2319648650,1066025775,11918730,3240810755,1381099658,1457424222,2336427914,1381194519,2901576529,510986042,1959394882,3455992588,1515908981,3224525401,1515871171,717589081,4274062023,1515832256,3455992667,3857436789,671293928,3893139432,1381185889,2336479879,1545505559,1926904579,807308050,1943681792,3897776906,1398537006,1530511080,1457424222,738390504,183768552,3909318080,2320557387,6744071,3959744594,4253739091,1499191943,1592298072,1398201991,1583679419,2320948871,1958742721,705137296,3909317573,3237930267,41075002,3448422794,11913726,394937170,2319419971,2329478106,3666303720,2336427914,2329577247,1975519937,4069245697,1107789996,1959394883,1976434420,4289905649,125053244,738357736,3908277736,3274244714,1961858792,452867,3908899560,378272636,512426844,3421045551,2679426543,2253440134,635982788,3909317636,1482364893,1369359494,138170527,1743261813,1958742563,3905486361,145761123,154941675,548409461,3909077736,119808846,2656629877,540853081,698359922,3907553792,3321766714,3455978356,58049850,1946186472,1962884105,3904962053,2656576295,1481678681,578611358,3904228803,1031013308,1930933992,1397903859,604321440,87466696,1528351976,1805670746,1958742532,822798595,168095648,3137828032,3914534632,1364394221,120437586,1515127528,1527623769,554887363,583854275,4168400906,130419691,57337856,1963062971,2964770055,4281198605,1946377192,3284152835,2900934706,3284152866,1587591117,1975519744,3303588609,3892540927,2431189468,3799902209,548399187,2968002932,1975519999,45109264,2348387304,1510157598,3504936841,2078822649,3498727673,3153873640,512294918,61867171,1526922146,512447427,11862794,3640908035,3274319536,4289779850,4169844506,3691185778,3271652187,2891403,512314187,129631045,3671386368,53419577,1381099891,4194756691,962157147,1929588510,1977871322,807308246,24766464,2718196898,1034027838,1124567043,2302871432,3439548446,807308206,2949466880,54206089,168060320,840398272,73245376,3036961954,56671002,130461901,3455992580,129693813,768768,842516200,55550656,4169848970,55385737,55975561,50994827,168061856,2298770880,839069470,8186048,56106635,56237705,56368777,168060320,3892540864,916460980,1963009029,87466499,740199257,2303412992,1124287774,2343685443,51297251,51125897,3908563944,3224561354,3632986250,58465929,2298760610,2298733598,2298761246,2718136862,1364394809,54206091,3285859267,4244343646,2337711662,2315941343,1916419079,485081857,3652381153,512481927,292814896,1390992007,1256739810,1524206556,199820146,512314339,3666281310,4278023619,1963584448,58039543,2635407336,54730377,2298678971,3137539102,2337931020,1392520734,583240348,1958805191,1411287308,1126075139,1444841731,4260751363,120765341,350815092,3661752794,2958036912,4247382110,3896509528,3974757667,1444842493,3134917379,57999377,2346272233,2298696726,3271568918,2730504888,3905094774,1397885128,3892604603,512439819,2271085402,1827165918,937971948,2917674239,3901380616,988569320,3909317829,2271140104,3666302686,1511951187,1977236227,1583045139,1381424775,1530254056,3892604602,3277534667,2967561961,54108673,1963488232,966939635,2331871747,1229539801,1236070795,4168663050,3657648457,512481927,3661300572,2343367307,1117760249,2655100830,2336878709,1545505241,126507779,3077909564,3957318376,3297138870,2328058782,1916877831,4116397305,4260293059,742194036,4226287988,3236449248,3907941599,1949105810,739675112,1949056000,4712451,3752454219,3897455698,1949105786,3663944,3751405643,904463220,3733413592,4005253974,1943681792,921197357,1395094016,56106635,50336953,1943682009,2312800025,1526925854,2891401,3902204763,3523998448,2565407605,803849184,739675133,169224960,2344282883,2344758211,2999829456,3911093075,1541081860,1311769027,4247839024,1529868591,456142896,1444842288,4909056,3955425652,3942756356],249,[2734665730,3237871728,3070322152,780289,199813237,6219807,2697183282,3275358300,125040756,3224557706,4263441897,519104963,973101984,2967696579,1958951425,3922460381,698359518,1959213568,3922198225,512433874,28770395,5774985,2334049769,3892336158,3061121033,2315266464,2965761016,1959213569,3922722473,1537220266,2700642816,3632922716,2524104490,3897606398,1486880921,985923072,1942748867,1925659149,2952951049,2731081217,4267180120,3909318088,3739746307,1537262366,2698545664,4169793628,4050830122,3897606398,1486880895,1925396992,2026322448,649475,4289725045,1487061246,3372111872,3152662388,1528728350,6135808,3314215050,41141050,3342522506,4169794163,12044170,3237921578,1342206650,3657685639,2286094216,3372106503,3666344309,2730504792,1503789144,5939712,1358900201,3036690408,2328398337,2868546501,2901576522,3364546954,1976106584,3947938561,28659946,2315261928,2344979144,2336402170,3918179570,4267231370,1357018312,3126062059,11993204,3657681918,3666282378,3284148827,7649875,3422421175,126409219,3277576839,1105766093,1444842241,1478396160,2727936,518766846,216547248,3894456570,3224566279,3439339426,18802855,5643915,5774985,1520617354,81913856,91540478,2951217584,588048639,3894624744,149429156,590932003,41229116,3221886384,1911030645,512446492,3666280536,5643915,3258631050,3347715701,74696250,5774985,973101728,2315613127,5939911,2746456,3044280946,3892444648,2917923219,1962476348,4139513089,993837825,4176083829,4265823196,787642569,4134864698,848608195,3974631089,3909319167,844103687,7512768,849525592,3639086257,3909319167,2320498720,3502246593,852003520,3152579264,3640865454,1125616174,1480034862,1444842322,540852992,3223454578,1946631363,1946762489,1946893557,1946959089,1914453229,1914715140,3284153061,84279821,470551299,236920349,168367487,100798984,235733765,889132415,885666902,867119929,891630855,872494413,854799479,233321409,1489532157,4156292789,4181846017,222037896,171708788,3314157173,3983867452,1976434243,852360936,3137833152,2697134582,3221880946,1642609268,3666301182,2264926150,3905158874,698352425,1959209472,1354825227,1476457960,4151691518,5643915,1493056488,3224553610,1118501515,4203463050,3284153002,3221883568,39512259,3036805050,5808382,28820282,1962944928,1478396691,166220288,698374910,2684711936,3372089434,3892337314,3314156092,276086818,4260292690,3070850394,2697199105,3840606249,4273003143,4035626538,1007127115,168326176,4261901760,1258517710,3326341099,3666280455,3075476912,461170689,4243066288,32947191,851704152,33006272,1979557864,3955490308,3942887671,4274490077,83371208,2327903752,2728168,41141562,3314215050,167801504,1975880384,1959213580,3908602373,3224509238,1959209667,1352683771,1370112,1492626152,4051028222,7512259,1923272950,3284152832,1444842323,1923108864,1958742528,256003,2697157464,3275358296,3142783093,134086746,973089184,2281861895,1352686343,3905456640,275906959,844160116,4247316672,3874014206,3422443521,28820478,2689852395,3342467113,11996021,973102496,4261443011,3905420995,1398472713,840609256,2965593024,1959213569,3956276740,3422442260,698355316,3908602368,74841296,1457424222,445179995,973101216,2685040067,3372089434,1520567156,21161984,4239321171,3288207733,99090871,3733413378,33286230,1541860187,840586728,2447950784,2685105660,3275358299,3288204404,698413291,2700642816,3364487248,438495313,1959788121,1958742538,1958820595,4274519791,438626503,3905142834,28770452,1394219496,3892334752,4267377069,2728135,3342516478,1105784181,3081074172,3955490305,2730504930,149618800,3894011368,259129674,1946173672,3908168645,1005066710,3892802305,3061055537,3224564203,2730504899,149618800,3894001128,259195170,1946167016,3908168683,333978030,3892802049,3698589719,48820715,2345921280,3892336158,3430283972,2531852727,1444842490,4208977920,698400373,3925379584,3422485146,3253208436,4277630203,2689713091,3342467162,1743264370,1501209,1118501515,1457424222,2271137790,74733278,3756771326,3221930841,548405877,4581571,4220184656,576198004,1022457024,2699916320,3241803856,3247105652,1489223714,698401785,1959213568,3905420825,4266852548,12314831,2697461339,3237871657,3950364474,1352716286,11003904,3897643971,1348010148,2598945162,3364509696,4261423520,986185408,2330424775,1405311937,704666784,1949266627,1528728354,3733413376,3280622422,2684378018,1554120797,4200261632,3733413467,1528727894,3075693312,419031041,3909202011,512490246,3422421078,2884109172,4194232344,3284926043,4218564668,309475900,4084351292,175266620,3950141756,41057084,3223503865,28791747,2315266464,1709724136,4282145048,3355314292,4051029502,1398522715,2766668215,3921894168,1240012867,2662936,54992523,3273836298,3666329854,334227572,1946285755,1134361057,3906106857,57989500,1540977385,55121545,1926461672,3661424899,1128520075,1128470411,3906635603,2321231438,1946762247,3894456325,3169383575,33012712,3907561960,512488791,3422421078,3422423412,904398196,4277630202,401664195,1020371177,3909317642,2337535083,2315577630,1539508935,141888176,3893211216,3277386839,2968802024,4098746381,1271073456,1977073384,2414396161,1538862326,3366998327,3224503019,2315451042,3904097551,57931721,852508649,2733148864,2319646862,1915632647,1007514690,1006924602,3892671280,863172523,3042044042,9353983,3321790476,1118501515,1007127107,1006924602,3907875632,3899914123,3832819260,658294154,4125688690,2393004495,1007127040,3122557734,3058841603,1948597250,1019674244,3271652644,557631230,146209140,4084474684,616663640,3067120255,532370176,2329543427,2320194359,50045638,2698449640,3372090169,2062091125,3909318657,126484496,58009644,738250217,3909317939,3224502470,1392720290,168054176,72000192,512433780,2126119804,2312766211,2265205534,771221978,168053408,841249984,72000192,56237707,72031881,56106635,3895319785,851705604,2331019968,2271107536,1539528414,1457424222,946518610,3883194939,991550138,1232362202,1457424222,4221587795,2699594242,3305242766,3364536574,1090565457,512442689,55771996,3897776601,2304453657,2332253214,1511950809,130435843,1977236224,931683064,394877507,31320131,1531107975,2730504899,4169794726,512350346,1088947363,3137828322,512294918,3277522083,4196305747,3733413378,1391495766,9353809,179106443,2268951744,3489793242,3905456856,3247109059,2319650698,4266738479,1408595400,1342213792,686348935,512317655,73072821,1507381250,1261406283,3372093320,512488821,149618869,852953832,9347776,168058016,185103552,3909318098,1498021983,2663679576,2271140487,2270385886,2327903962,1007127280,1015575596,1007121449,3909317725,2632502848,1377733077,512318211,11666170,1393027922,1355056799,512476294,2951283546,49979436,57982986,1489903849,2342438022,3909318091,120204117,2565407605,637440,2697861609,126354171,3067120195,3297138688,3909318046,260571338,3895429187,2319646931,4076202184,512312131,260571953,49979459,3247100112,1352601458,872701088,3049818635,1939757056,1100962052,2668595358,797459280,712697923,3372129880,1352653429,3398102666,3657685639,3488154483,4074563826,56368777,509515,4168473147,2319564850,824085488,2266466819,64685018,1272612825,1125615947,1922979907,2330495558,1124567752,395008950,2271101763,995120862,3909317338,501808975,1490682666,3414935806,4221625205,63671042,1912876251,182125320,51082432,2059406043,190723,56219907,2346354649,3271774750,1539316473,1124567747,2315302225,1507394504,2672972227,9353808,2326590091,2345008872,1128443122,3455977352,2656630133,3905116506,1793645658,4079020073,2346354491,3942949662,54173706,292864010,1406830426,983744562,2629893635,170887762,3909318085,2336478559,2317675295,45175765,1011025802,3909317980,540803485,3254650485,3967143422,2968160859,30861404,854622952,2328922816,30075120,126546058,1965112387,24111363,1383342908,58009148,4261503209,3909318093,725352750,3648260272,1124567627,1433677372,58023740,1006712809,983331932,1018590471,1008235556,2326689066,37503941,126485618,548414524,3455978101,851362558,1125123264,3322069758,3271487626,3455975601,126509428,1949187139,1948466206,1965833453,214338083,3958409792,1007127265,1949216803,4284868867,4265804209,1959657153,1124567606,4084474684,1005894226,2331478610,1952333011,121291521,977533813,1140225287,4050978618,751143491,1525314052,4276652634,65749958,2321209991,3271445446,477431844,3314207486,343195658,757860234,4265346676,145754741,3322020868,3456037002,1702141275,48779857,1364810459,2330626643,1019282117,3909317145,3330987043,1558741004,3933726779,3639102299,292878802,1006844578,1007121467,3909317676,3303590760,3666303442,1385976667,3307865994,2315302467,52399056,180718298,3909317824,116129453,3892345832,2640047911,1491665780,3892540414,2271145959,484988638,65625068,1575535576,2328755712,82330375,2982865903,2969955072,1476520705,1172884990,1956469504,1860719056,662694106,2337493337,2315559710,2315301353,3314176197,57982986,3907822056,512485860,173540515,3909318080,120258398,548464778,3456026110,1340670837,4004636927,2320561387,2965375686,3892540459,3277385379,53812873,3907513576,3666334223,2667603688,1151311428,50886046,2313391065,2332247326,1392520734,53812875,686510675,2313749364,3906635722,1735721023,512353163,378209093,378077230,1128465498,1128470411,512302987,3666280494,1406782696,1529316584,2981693812,1374259712,2345762281,2298763806,1526738462,1877563737,310225,2319703043,2193179399,1975597568,1095943,4008433923,973124025,3271652545,112793401,66614272,3134974937,803799070,121301194,3513641035,1927828852,1827165145,3896341725,2347250442,2736688104,394937092,2335672899,540847346,2286029173,394808119,3893362251,1264314588,1959869160,1950039074,4027115525,753421100,3895242961,3136023983,2833785520,3904563437,2699567792,3906464749,2347363943,1403571670,2280190602,1007252481,3893326906,4151902590,844879498,3455889600,3330982827,3372139050,91423292,1642704077,1912945865,3378178307,2320585305,3135802056,2271100572,2320717534,1918974983,1937456134,1361062914,4069255306,1111731246,1968817466,1976172053,787647458,2025851564,452867,173693787,3221930944,4069256056,3221924910,2040414879,1540197109,787647315,1975519916,3372149174,1145198923,1380144127,1347223118,1140666708,4231091009,2438494976,3176703832,1403637080,3297156946,3133441616,3657629742,120258480,3498754050,11971277,54440379,394931930,931802691,2663679576,12048522,2318326275,2318287639,1524270903,1457424222,4547,0,0,0,0,0,3892314112,3897808913,126544268,1333051402,1125616195,3666493322,3224555658,3892772770,2258632411,3297136836,3053777081,4274191883,2320331978,1914715143,1949187110,2868480808,3472769857,2253973877,2258607812,3297136836,4037079178,1958804996,3297138694,3921894302,3947087912,2718019786,3330934527,4017359676,3950117692,548465780,1101724043,3941322494,4186644656,3472769450,3136026229,4265805706,2062074826,2698545887,3275359455,3924362099,50378695,2346354651,50651166,2686421978,3237872950,126540660,3581198346,3062355,126540291,91425084,3236551885,126507975,3287924746,3476416587,58008380,3905892072,2271141674,3897775838,58064811,2311560169],250,[3271878942,1360304313,2329353448,1965833223,2447922009,168266472,3909318080,2336475004,604473887,1006744287,2987750473,1951349762,1006940687,2986964050,1950432264,3344230659,2951238235,591146221,3504866165,3737970894,753770984,3221930634,1038680949,3001569479,2321111294,3923627473,2850553987,1007127294,1963242114,3466979417,28476732,1329352052,1228677236,1810380660,1743274477,1676169453,1609060589,1541948909,1474842349,145900781,2028481771,3981240526,3980978261,3980716116,3980453968,3980191829,3942822484,3462260753,1122841064,1307389416,3897237682,602459727,535314925,2320651245,1965243399,3460163587,182335976,3909318080,3738027696,2320192180,3458853072,3320382324,3733413574,2680326742,2253440134,2632471492,3909317886,2321204885,3439934662,3909317599,3109275267,3640852526,11548552,4254198107,1975519827,87465994,57934116,3892528873,359988843,82386569,1929556051,4252100867,1357504717,52750534,834294619,2295988992,2331544071,3911092696,117594884,1526728646,65796547,2680173069,4255115344,2656627149,343167135,741083018,209043466,3905787624,1481829482,1352661406,3224522911,1424490930,3911093247,3258628,2656622851,2149892122,916586764,2677954565,2730498640,126485743,58310666,1476450537,3892540574,3224562519,3925748968,1122551557,1273679357,2999797480,58063232,1946515944,3960530968,2991602732,3892737426,3959016751,3959482376,2998929985,2320539394,2718966978,2656568418,3237892255,838885282,4275955904,2337513048,2315577630,2149866247,350815093,1676170205,73572577,57982986,2332326376,2298697758,2332492830,1392521246,82386571,167823080,3909319104,1307115542,73572549,57982986,1527030504,1654833202,4274579716,190555,2699618283,1979464704,437119235,535423949,807308229,3904899584,1189675011,3897597696,4231790723,921240437,3449706522,3305171436,616799832,73638432,58039896,3905221097,1671490167,73703940,838904808,4243712192,2306869190,3892635934,3221880907,3989681016,2697253865,3221881956,686293876,3341281284,512312131,1525154648,2730504938,1139279158,82813182,57982986,3922459113,3666331076,53419659,3661355655,485005426,2730504938,3957916982,2337428457,3120883998,3657629742,1532626826,1394505155,649744465,173101635,1498989504,4034513150,1532609371,742131594,3840472949,126505419,58008380,3905673960,2271140822,3126023902,4182917934,683271167,81764417,916504555,2025851397,1093188044,3751854130,850324228,2330495680,4231129285,2684356550,3321758943,4017341738,916635698,3918915589,3153547,509515,1539562473,2663679576,2672906835,2253440134,3911093188,3892752388,3821862917,2680417257,2253440134,3666301636,50343611,2265418458,154950362,3404268403,3297138688,3733413534,3840498518,1381192186,82386571,3471313072,3924086271,1532674996,820560729,3926190283,3925927972,512447272,3142780137,512294912,1583023337,3898007175,2320685842,1965833223,3406424075,1543228904,126533682,3555217567,2656578025,1457424222,3280621727,58048522,1405888233,2279737320,2656590298,678711455,1021843176,2282976259,3388883719,2656627829,512318297,3914401001,2656625203,3022475,54992521,3272010075,1946118888,3274762499,3855472107,1392513768,48759221,851663616,1124567232,4185247230,3911093187,3389956,1489230339,3281962118,1979385832,3271223555,57871024,3455718121,3270437350,1979380712,3269912835,57871536,3455713001,3269126631,1979375592,3268602115,57872048,3455707881,3267815912,1978335208,3391088899,1206435890,3913462524,591184626,753446261,3909413082,1405258284,1543176424,3116566410,844180972,4230277568,3117817576,549066395,2317055276,3105352662,3897627800,1374224332,521922802,294304082,4035625010,1364250762,4272285779,1810432883,1965046978,4274454022,1022260686,2316530978,1019382504,1975880236,2331347465,4269926613,4156248946,2332013825,1019644616,1958840866,1393376302,1012619636,2317645066,1019382472,1958840876,9037827,4267042899,1009152603,2316072205,1948269762,2955688981,168784909,973829312,974025926,3892999362,3897753699,1935408687,574378930,540804212,552084853,1008759550,1022850080,1008235564,3439621389,2333111521,2315577630,3893539016,3805150685,1539425257,3137341382,3263824374,125050924,1726480565,3905117152,1352652087,1489578728,1934663582,600107011,57843288,1529070824,1958742723,1124567291,4101361150,3905284953,1621229638,1958804992,3248417027,45240659,1543161576,855391208,6333120,3908836073,3221880870,3237873524,2112422773,2731081409,1364394080,28491826,1543151336,855387880,6333120,4207733083,1392030952,3367626827,2953016666,3897737985,3895256966,1263665195,1976084200,844781829,1944634304,417869031,3666303232,512350467,3666282244,3364481099,636027764,4289747649,3498567875,3692161107,3285878618,2332887993,2264936478,1478396890,1977236227,398181121,46369378,2329447105,2315261127,2901576696,841925930,1991987207,46369377,2329447109,2315261127,841898232,2344681991,4265782010,2969728457,1976434187,3943544252,218872248,3153547,512481927,3661300568,1992011636,46369377,2329447109,2315261127,2901576696,841924906,398151687,46369378,2329447105,2315261127,841898232,2344944135,4265782010,2969728457,1976434187,3943544253,512447417,3347709998,4267426594,3271652544,1688227999,1958742532,3371559171,2328075864,1967143943,3350063107,2315255993,1020365557,2317317354,2630827015,2565342069,3865897159,3615418408,3865372754,3614894124,702963176,2337512793,1946500382,47875,3520660383,3604061918,87891593,87498377,512478091,57935163,50331835,991857114,958302469,1541048069,3955241667,1342418946,1493148904,1392520936,1929586920,41936902,1526879720,3341936835,1409256680,3137541352,175374335,3892472040,3632923163,132645047,2965592861,2320650499,216550352,3893064903,1009575390,3892540460,3263878910,46262355,820577139,1499093960,2345070569,2315597598,2327915203,449284824,1945668293,717238981,450398915,2328046279,2344876536,2315598110,2327980739,449284824,3958934214,512447454,3666281785,87629449,4041786203,2337362943,1577400094,2304171655,1493514014,3806905179,3897709054,3907708266,1994981101,1952013055,3848071251,3847809068,3909317954,1340604512,3897771749,3253207645,39315711,1946131688,4289325059,1927828291,3892540415,1396965295,1510055144,3897643609,1397752027,1776867975,3898104578,4175954135,1230657792,3238708618,3277579125,3897774673,512426053,512296253,512427319,512296251,1515914553,2337522521,1392851230,3906635602,2304507866,2265266462,4291881178,958302555,924748549,3414905093,1543487976,87498377,3085486987,3452132351,30402744,3909039080,250085833,3892540415,1397948200,2281628904,1240579034,96142195,3733413450,1943681878,4246636820,512318214,3585804023,4179528009,3956967174,3733413398,4179528022,1238743814,116858505,512350855,1515915005,4213082451,13887494,99111514,3913373952,3330933280,3637559306,3263885450,3498760400,4078865347,116760582,4078864835,116761094,4078865347,16482566,2164879904,2300575979,3272012574,542163841,116596361,4078865347,16482566,2164879904,2300555499,3272012574,536920961,116596361,2327939779,3523237134,2315711758,3271652040,116590335,2327939779,3523237134,2315711750,3271652040,116592383,3217460419,3348019200,116596363,2315749926,570881302,1427016386,1927991808,3957903876,3284569848,12568204,2345111224,2332488478,116760809,572969206,4128147975,4111344134,650185222,3448440712,2344863374,2682966505,45210251,3540247251,3805480113,2164552606,2300575938,2332488470,4140468949,16798982,128980084,2159069218,4121094354,3540234502,4078305770,61915910,3372402722,3906126000,2970023330,32166658,3272012566,3338684576,1678064390,1946565632,1008497426,3323490820,33576198,87885511,3334668448,16798982,87885511,3334668608,21766,1929657539,1426519567,208929024,3640000804,4161205922,3311266243,1437664036,4137869814,2697197574,3221880917,3976915828,2159748984,17204226,3137565696,3409641792,1258517151,4127902603,4202761336,74580168,3271608250,3526607774,2680763331,3331123435,2394423487,198413255,2339140818,637989662,4120915850,4141910534,1427016400,4129196544,2330468870,184230652,1081363183,3436366034,512487283,2284193523,4077322031,4112943110,3519712006,4142518761,16798982,3800106613,116064259,516737,2883840465,116826364,116604555,1049209587,2615871219,116596363,2284816422,2382820646,2145960902,4246078462,4212538118,722039302,1040644886,116987647,4145479486,3286491654,3483625555,3897803611,3277527335,48,0,0,0,0,0,263454720,1218580685,1009300480,3020780034,1963408464,185383175,6819465,2696840,2312867066,503533598,2382364858,270436826,1295301381,7085705,2304197819,2348838942,2348838414,520122894,3137352424,12124696,3116469760,2351300730,637534863,1284769735,3758408579,2396753137,3779651779,3439441147,108521495,3897334715,1676226271,1290649138,3104199611,4233297930,126397486,1975519811,3280165878,3287277584,788479695,1422591744,1226859880,1344294210,1869836901,543973742,1886220099,1919251573,1935753760,234840937,1936876886,544108393,808333635,1866670128,1769109872,544499815,541934153,1886547779,943272224,917297,1093481778,942502512,1397312561,1375739988,872021,1145130828,1095958562,2245974,1414418243,573308941,827609164,860730,1313821268,1381236749,222709327,1497713408,1129512992,1313162578,808202272,864300,1377718428,2382364858,270438106,171632645,6952584,378063614,525992030,1456446808,167796384,2685498816,3221880938,28576373,11540173,3372089972,1587594078,1958742528,2730504712,61866078,2690078403,3221880938,11826293,3221886669,1583285108,4236268483,2147840571,1014121980,3022475,1977289539,1312078611,976100017,1124889639,3388915966,3224564853,852749147,2346766564,2676698840,512295171,251527275,3905945706,244072708,3773497453,751076944,4128289595,106150883,133617667,3430177023,7020169,7151244,6950654,4266855659,2718397896,548405354,3307123435,2315283230,117382919,3221880939,2692285044,3414950324,7216778,41148218,646499582,2133065834,1599834741,4282050910,539897886,589439250,639968279,421015858,337580816,756100886,1364405269,1315749462,788270769,1960852140,3388884489,3224564853,2888696555,3277543774,508037959,474815819,169615184,41092724,307364214,240090963,209126773,471670303,168496141,1381061532,1946631248,1963801677,1862727178,57999104,3892349928,74711596,963968828,578030652,3108931515,4265803784,773617865,4134864698,3649823184,1364126137,3786932014,1444842287,250135296,3893291780,250085438,3775784960,619185131,1499093001,1354997083,4800138,5119626,3019899321,1477496073,1911051203,4293388288,3897803611,146014312,3277525197,2332029928,3284962024,5643915,5643913,1307071388,3281869568,4261435296,2320548808,704653582,4261435150,2315302337,2315274558,2952810270,3439965216,1444317968,4277306880,3033202382,1477496066,367547331,1228835328,1327401472,688818688,2952836352,3439965216,1380997904,4068922251,3405696766,4800138,281871028,1405311066,2315301202,3908274927,112459803,267063501,11620947,4153076618,3019901672,3893415175,1532624924,1173699,2692746,3472804606,28364286,5193354,4825283,1252000747,17229824,646586485,4236247112,1377268743,2148008122,41026300,3828541136,2384388855,72262618,2630048287,3125826131,11796480,3304462285],251,[4128142624,225772740,1946273014,3944264205,3944460806,3910775298,1347991486,91557180,3471313584,1532647679,2470232989,2503762036,3711714932,3823650420,1958742734,1019805240,3123868426,3807772688,3263287434,3897689683,3895254434,3897804497,260757580,1913649536,1125101826,1599813515,4227904851,763929843,1526756840,3219253699,49020848,104464560,1906442353,3892540416,2431123550,3193160638,179897939,1455816192,149440176,3716829659,2884108471,3894456340,1582947067,2902217046,91537418,3942650856,3893211381,1582947047,4262512259,1540257225,1012318443,2952951053,3671189531,2689647454,121372744,71042164,3224502899,3277373450,3064843603,2315301400,3019917630,2685455618,3221880945,512365429,243925071,11862057,281872820,1543376360,3892818883,158728128,167791776,3003282880,106151536,698353077,2955426816,3036836913,2320715786,3892334110,1448804407,4233168561,2629831340,839021910,2484416,24485214,3388889422,384362613,3330498048,3237894160,41040444,3455987888,2951268213,851663869,3221902272,548406901,5185162,41225532,3109100464,162791425,3271430349,281871028,2328058713,3036694798,1210485248,29685248,3447718772,83656832,3321760114,1913060480,1371930114,208940092,1506632168,3897682058,1081392476,752627176,359935036,181226984,2952950976,3850393984,1374161411,1958559720,3692095523,1949056044,3442534412,1372097113,1958554600,3690784783,3441485868,3948540042,3193301254,2331085401,2315266342,176104645,839546048,181799634,3957749201,687636507,4269804660,2161799940,208798969,4269855723,2161013512,3379759353,3221934474,1048584308,1946615880,1007071580,1951446018,4264080426,1976106697,2160457388,3388874101,45160939,1948843136,2160457225,3254652276,3388869099,1971373558,2294939138,2701142310,243793992,378077256,3241803849,129505908,4956928,1302578310,1327925248,4265273344,1336017780,7268352,3019917984,3272658181,2688570,646591604,1346109512,675022708,2565407604,133988541,1353712757,4102036715,133988354,3439198837,2728528,4728456,4785863,770179072,1405310976,3002915560,691961895,41166848,414601138,5193354,2315255993,3439768769,47632,4800138,281871028,3109228523,243859456,1218445385,3439375360,3720210448,3908944360,2649290634,3905117180,1534393764,1371406513,1212055552,58000896,2327647977,3897644588,1081392084,125054012,1506527720,1498540170,4186592081,4286635402,2148037888,57805051,3020999552,1527827723,1958456296,3148212227,747134553,4266002548,83460289,113687922,3271557199,4290993753,4278209846,1006652214,3893392428,540855166,2321094771,1978159560,3895227579,1009572422,3893589036,272419686,2632516466,3901381052,3143297105,736629108,1340615898,1930443979,2321177065,1498501840,2163313242,243863526,3314155595,270852304,3850420746,3504721927,3504722149,281147109,3447718772,1408109184,12048522,1302466340,1311672320,1328449536,3440096256,4290992912,1006655030,3894441004,3221932794,440163188,646600563,3825860721,423363700,2321173363,3790099152,3900404922,1009572274,3893916716,3221932754,646591348,3761897513,2321165170,3253228272,4284183738,3892340790,1009572238,3893982252,3221932718,41222320,173613232,2716357096,3945624762,3151358211,752446952,1019908584,1509061408,169928064,1372097256,1958380520,3646220303,3396921388,3648200764,1372097113,3850391897,1745783055,28596480,2304381133,2248168982,4274978546,1049252810,45350985,3277525197,3942690896,548425731,1347637660,1492794856,1745783643,1913058816,41221888,3892970677,281870772,3277364569,0,4294967295,4294967295,4294967295,3387464784,1397454075,3331084881,2382364863,922691271,4280680572,637566518,8128199,2351322360,2382396942,42053830,3003150854,1228835459,112896,281872820,12568204,650612224,8259215,2080804646,1522961920,1486707545,3116230851,3909113504,3035166322,6678713,1450569226,3909806602,646598772,3795451945,4185933938,2688774938,3221880945,4185916788,1396142873,3472814474,1049283326,45350985,146018509,1348145357,1018787816,2953081900,3892833024,3895253058,3897608550,1479137338,1951973386,3921971714,2431251986,387258,702031336,3626035395,3375556648,3625510994,3375032364,954778457,1955937465,3624462344,3955241693,3106531333,883097520,882950912,1958742528,3374049328,695405116,448419411,3828503126,4035698897,498401070,1532937046,1062614211,1280722518,1918266198,2153150550,2421590102,3123046742,2315269563,509447,2348130281,3909105438,966790854,4119652608,281871540,1961101904,975079692,1009682432,1058441472,3297400832,3505834238,2348119017,3909106206,1017122458,4116769024,4261428896,4116244928,4261428640,4115720640,4261429408,4115196352,4261429152,4114672064,180913384,1007842496,3025433348,1102795520,2329412352,669604615,28988405,16890114,4194308027,254078190,4192322362,3274836963,4266713482,3956814535,1962871532,3151464986,79233089,3572914176,3906003458,663224947,4277658179,4226315722,4300891,3925139945,552122719,1955937464,3606112264,3955241693,3088181253,1168310192,1168163584,1958742528,3355699422,3614639164,242483624,3372093620,1085538932,3909144808,3142841516,3221880902,2319647092,509447,4103792987,1448431772,12197463,2396687872,2701463582,3288989798,251595124,57999462,2684364776,3221880884,921174900,4562944,57982986,520120808,1482514015,113692573,2701131877,3221946470,4199684212,6620918,3121051135,619446369,113766140,102,1405311739,78926417,173019341,2299294948,2281716254,2298493998,1476411158,838874784,169440452,908495076,2299622400,2281715486,2298493230,2952805654,3515135,3277543770,4635475,1962950528,3893408775,126353425,4161603,1085540213,2281702632,1388534535,3959554490,3372139554,1522829976,649411,3120944056,3948019716,1712753464,1962019328,1694942727,4058775296,3336497347,1915091587,3219673618,1911041237,189946314,1510438354,3925818345,3504912403,1227519,4147436728,1694955249,141950720,4438608,1492039344,3992994490,1978582154,6404615,3993177324,1712752986,1694942720,180551680,1497451866,420501776,1494243674,1494243600,1499082000,1297757200,1158699329,1494243674,1494243600,1494243600,1666866448,1497451866,1499102224,1494243600,1494243600,2853198096,1851437402,2869975387,1499197531,1813010704,1980782940,571496796,2619504066,512316240,394790121,3324887939,1128464391,3326291848,2286092295,130433807,2639813376,2929256899,2160286552,41255162,1489175218,1503577222,1522752346,2210617691,126496451,2344866038,2198137118,2344823747,2198137118,2344825539,2315577630,3271569287,3327219542,2768584454,3204772030,146343232,3802463232,1583307261,3142669251,145818944,1965047680,3388883725,1556018805,88653573,1421742315,88129285,2801535153,3388876661,92993909,158598202,427147274,1963001078,2332330516,2282023198,3137352071,250108404,3955241472,1509866247,4177528040,1405311833,3022475,1960512323,3150142210,1129514323,126486705,1140119016,4134914558,3420991152,3280165876,4131696649,393535751,133583024,2953868576,2148005442,1102055797,1967130614,1531817986,787785192,172165002,3287643584,1970226720,4281230446,1394606093,1886415211,4281230437,12124173,1376684032,3907694597,3823763133,89308158,130418570,1975519744,4081510405,3806969866,1376684286,3953387781,2331953384,2969577774,3907891200,3085565585,2253412606,4098156740,5705354,512477694,2408056041,2867396658,3297138942,2331527657,2969592366,4271106048,1659399600,4272941310,2281726880,4269861127,3297136728,3909092328,1793654401,6536181,259263804,3897755646,945553045,2953277959,3337087757,126484487,2298379496,2253964039,6464196,6398147,57982986,2158815465,41286626,1369571762,2730556933,3398042960,2155929984,452264425,2162262217,1947255542,550076419,167796896,2969728192,1976109569,1594291721,41221888,243810481,4290053448,3538446512,3894905597,3304521262,4128011521,58032577,2952802280,3894406143,820510771,2348315390,4127516958,2164273543,300419701,3322245889,348166,1638007216,4259833856,3909158854,1069284794,1161477,365757364,89373635,1392513465,365757108,48825203,1587567361,1975519744,2772402182,3921929845,1637919785,1958804992,2730504715,1621229665,3855476992,82386571,3246070,3907679617,535298107,1407380225,939549115,2332914983,4127516958,2164273543,3271652699,3031165417,4293126399,3297136728,3909092328,652803405,4261906432,3893064897,260635997,4250396867,1404768138,4261459205,260587977,365757364,3338487016,3905093895,260767037,1404764341,3285779205,2666004916,256255,2700940521,19662160,3150119283,126485841,167774150,3271652544,1929382632,1342621191,3221880837,4291029187,3254650762,2298281192,4243580943,57937722,2160312330,3715432511,190544,1404814168,16824581,365757108,1403000178,4241221637,3471312776,17286908,1962526974,2160326657,91555068,1877547186,2871388587,738545824,3921680897,243796115,1525220689,1594279657,2303918080,2332380446,2298695702,2332379926,721880078,1225689547,3897708805,1499135652,6332507,1946599434,3032649218,118869251,3120597480,12124165,4252322048,3908728138,3200450678,2357921107,1621098506,2629831168,1343059281,55988563,3860261081,1482381662,74776892,957579,1958742534,211061518,1959329280,1343654660,3032649219,118869250,2639860338,512428917,3640852528,1478396227,3850430723,3490048080,83656792,414319989,3920279017,3897272939,91599347,3942671520,3253266435,74825738,48955824,1688338608,3454044672,3687695125,4160875513,2342318987,2315560206,2730570435,3347711143,3716867122,1939734322,767755015,48955649,3825910571,2151484792,2333438464,46433246,85417449,192479360,3296976523,501213442,2717941765,2780497062,2148499460,4281523851,3279997824,54068934,3653691520,3906636627,82314986,1579059653,3894456580,3898330907,393523552,684732904,1389996008,742131594,1290274165,3908168625,2301218846,235092766,1348331960,55588607,73283327,991857611,3897803523,1815872782,1279003252,1899759220,1362887284,640074587,640034342,640034342,640034342,640034342,640034342,623257126,606348581,589505316,572662306,539042081,522133536,505290527,488447262,471604253,437984027,421075482,404232473,387389208,370546199,353703190,320082964,303239955,286331410,269488145,252645136,219024910,202181901,185273356,168430091,151587082,117966856,101058311,84215302,67372037,50529027,16908802,257,4294901760,4278124287,4261281277,4227661052,4210752507,4193909498,4177066233,4160223223,4126602998,4109694453,4092851444,4076008179,4059165169,4025544944,4008636399,3991793390,3974950125,3958107115,3924486890,3907578345,3890735080,3873892071,3840271845,3823428836,3806520291,3789677026,3341017313,3353144659,1551237721,485102676,1939015176,606378345,3497527594,2905456579,1649085524,3963394010,4208857092,659275216,966071078,2971577669,1140659791,3467848779,352131585,1113585502,2587630882,3539465525,13312074,2276848259,3766428541,1959901073,1486759710,302392694,4005964358,2525474515,1966878071,3189034308,2458595610,1838809237,4146934849,3372253370,3665573745,497045620,286997271,3842532498,2506243644,508198326,492716396,2465107602,2763343123,2007642678,1306675256,2509553348,2964147046,494729018,1557745424,618411273,3020902964,773014091,1351177569,3167488367,615274764,3959360459,3990248495,3875458749,3030802267,1885290806,1640981257,3430355332,2051237419,3214202341],252,[1818913110,935134639,1199926534,3316401947,426143783,3071760610,1340109649,309237645,2748872451,3607772528,3436018211,3435973836,32076,0,33024,0,33824,0,34632,0,35450,1073741824,36380,1342177280,37187,603979776,38004,2524971008,38936,3156213760,39742,1797783552,40558,49872896,41493,1136082944,42298,3567587328,43112,2229742080,44049,3860919424,44853,1604923808,45667,466206468,46606,2730241733,1073789233,191576694,3892362334,3340960905,1644216330,2028717484,2055258925,3609638679,2895169112,2256024174,1471531527,1746288394,3986869545,3256602316,344313939,1498505536,430363652,1873131920,537974565,3415156724,2483739214,1060731128,3104628225,2399655734,1733288225,4073311492,2166613065,1870413893,1891035004,3316492331,1290070813,924389942,3759992389,2229229251,1813180790,319526458,118945050,2546891721,1222441024,3183614651,227146608,1989759157,65302,0,82935808,2583986229,612571639,1971536739,2844036557,75662207,2164260864,2202906850,2198958602,2134181108,2150724120,625304878,1682186531,2147495980,2373887174,2051014659,5960464,1316134912,2328,3906250000,3892314112,1525878,199491584,596,1000000000,0,390625,2524971008,152,256000000,0,2685354560,655360390,3894874112,167797763,256,4287660032,4294967295,4294934527,4294967295,1006632959,125909162,1952024700,1999017952,2048794052,2086883422,2121661978,2150724120,2164260864,517470981,2569430406,590633095,2774393223,1225776006,3017212547,33117,1644462464,1350468405,2038320164,8366761,193003520,2205044292,4252902137,2663580483,294,858927408,926299444,1111570744,1178944579,3148495802,1927840056,78028810,175278140,77932160,3913774208,1748768973,2778747506,2042628612,2726241289,3954902181,922702690,922682531,1189610661,2162330128,460620228,3907269200,1532498388,2531807322,1645722372,1527938024,3666530867,2198479081,3828483268,78063240,3121738217,12255232,99281281,855942079,3349937344,3280011269,3450608361,2771812537,914391044,3917481137,3133997962,1525275015,2277231876,71821785,870890701,85715225,2984892807,2310917381,3909395230,3201108075,3498809426,1510534888,2277494211,163047897,3649552589,2165173737,1971323131,3905015059,3526559955,3901784251,1273496581,138799386,55827447,1476686042,3439434217,146139330,2738290522,2771844868,145352708,3941161563,1388546819,1918561015,3923282693,3284992374,143779923,2738290522,2771844868,142993412,1391024731,1977289481,2805368844,4211525124,770245634,2736687377,47108,2449778083,58310667,201326522,3339090395,4278494470,2738812927,3923282692,3649503530,2266552296,3897803737,2203785797,2344813763,2332336918,3271861518,434656156,3280165658,3905133828,512343723,1743324323,3198281738,77799049,3440010729,2333576132,3909091999,4284351309,4278494006,4278494518,2277887462,413198553,3905149319,57939812,3282277353,3454589575,3049271808,3150368152,3364488358,11874184,3492776003,1942474192,18933763,3649758602,3893375977,861142674,2736687579,2306979588,3322193182,67304198,1528038632,50005702,3247162116,1939006199,3576031491,78363587,3915691962,2881159174,1689893380,77838930,1914107880,77576707,852331203,2265508845,50045146,4241001368,4220252811,3599475955,3905150859,4052469814,738065291,2767405514,3482049163,2630089793,3905133897,58005180,3450006505,3909318856,2745243267,1958742788,2030153734,3288313858,3674980403,1539568501,3633027267,50005702,2736687362,113689348,3271820027,3925853416,3385720807,3051969115,103147523,199842395,309516,2633992425,2638419850,1127713436,2638417803,3281863580,120109907,1528170216,1361491641,855619048,2731199936,3032154929,537380356,3326281482,1793667079,2697710859,166397093,3857239245,4127749143,450941136,3275584704,914410957,864027815,2346579675,2344754115,449022672,3284699841,2014708712,3905867258,58201551,3893941737,3488094210,402450712,3257648011,124784244,3224504184,2026094846,3222993401,1977236419,3923456773,3263889446,77799049,113761035,1189,113706617,4294902949,12238859,3120789760,1056440319,3666543779,77799049,3778719171,38146420,2562784772,4114345987,3599495029,986855913,1963129606,1965832937,3498723045,2382772908,33846272,182250434,2551215296,9420689,1955702515,2330985222,2345200578,2344836054,1261341683,3203136516,780923787,3925607260,984416269,1175549153,4026767532,1005585325,2347726318,3545491934,50005562,742058357,2890327413,9307706,3221938037,2442661492,4076900287,74748326,3505123331,2345700269,3540380126,3273005288,168076705,2163569892,2147788086,11589581,2718211746,2996831402,1958742532,77963746,3631539210,78716555,77926016,2970517632,3431628804,2812464938,1931637764,4140008978,78095065,78003848,1877496144,2153273621,1601386745,568916051,78094357,3150131803,2864579742,309508,511245560,1124536749,1945756227,78035730,880019454,79252299,1260376320,3925533259,430772713,3796058887,4128928761,3103785367,1263206404,4209121271,4278191289,1124496647,1962467907,217377224,2685242857,2149844135,77932160,2768636031,512344836,378078373,2713912483,3825861797,914419828,176161957,2716824831,3825861797,3375620212,77805195,2315560866,1942956748,2262431245,2787019231,2480899588,3767195271,3030180658,180619904,2330211036,1959332860,435782470,2308772466,2315559734,621061926,3289022591,3271861666,1913190784,2330102300,854821590,149520603,1948239094,550273232,3430992875,3942900256,3687905294,3704675025,1964033270,2650006253,3425314169,4061913482,3273315979,796121226,78059254,3539457270,3305034742,1967268213,1975778846,50785050,1943540438,2785476108,3490280452,3504001499,287631836,3909921257,635964520,2980102931,78094852,4128024553,4278494726,116846708,1962869938,2971569125,4109625348,78716553,4161053883,3138626024,3908568240,922686362,1592263846,2785447701,4241668,1359539025,78298104,2333308904,149718012,3187863427,79234224,2784230656,3104078014,2864381956,2919036932,1128466201,276036066,2332034233,78299124,2342908924,82573542,4178101379,3892616891,3797488440,2768697014,158629892,77989631,132712821,77511436,3910344680,2498236465,2282190098,3909396254,4278848512,2062091125,4099401746,3526621835,4086038154,549052298,780883200,2778727587,3957819908,3620861957,1465308881,4028366123,1583285363,3296920811,3522557956,3805532626,2044398564,2785476106,1560835332,3507201513,2329137618,2329316066,1574931187,319819241,1364677625,3897569324,2555908688,512433785,4219536547,426970317,3822177163,3640910801,3624133585,512297848,1223361699,3943199312,619204659,3340036866,293894,2114373412,3147068420,2213020798,3893786899,4284092988,4278494006,3892618550,1515913867,3959278824,31975443,3893502952,3898217198,3672638071,4243515393,3277545305,3224558029,3439331817,3321999578,134413062,78120646,632602113,2348757846,4160195535,2263371985,3221903377,113640821,2315387643,1965440007,2953308419,1956392252,1948990469,4226304769,3892737016,4125753149,1638120959,4069249587,8796718,2164945920,1952554237,4025044260,2632811007,786813281,1781573375,1784638027,1785162335,1785948781,1782606400,2632499250,4319232,1090530793,1374222197,1370454289,1223186259,1499160321,3909067753,3782538124,3909082089,199819485,12380160,838862313,11987136,3893196189,568857389,1392867857,1527967208,2046168003,735770370,1951101143,2198370376,494020602,1376402921,1512489603,3125941113,3125963440,317415170,650281818,2027616899,244005,3263292115,3666305074,282781778,3152545906,25552913,91818731,13232211,285599835,2330575707,1048616720,1963459323,149528068,1465097728,1593859304,2348168027,4161071318,758911858,3606512757,725353963,3905094004,24311794,3438969283,3120919052,4025188351,702544,2153439991,4130484458,3756773379,1402732812,5171287,4130560863,1290327691,91594239,911443,3905110875,4185395288,1956409321,273606705,58021499,3449584617,3892672975,1223360575,4221699248,2770242050,2803795972,2736163588,2720434692,1087143940,3917532032,501747157,1965388560,2622155011,58314957,2952793832,50045448,2678308915,77701892,2337690307,3892618006,1516109955,267577539,512427385,3452109987,3909318097,2795543576,1922055172,3909317681,2778766342,2025851396,2617043203,3137339578,2330492928,114026747,3121729000,2159738880,283961488,3756589940,2147531675,2778738155,2629831172,2133067129,3120866722,12255232,4217890944,1006937760,2634446224,3085556600,115861659,2040388235,2312894210,3322192670,33749766,853226435,78102244,4294935750,312976,91869707,80141047,2329840256,3336014578,67304198,3439873001,78029014,175423498,168080032,3909383616,2344816376,3892621598,922743002,512296102,1458046129,2750450449,2025522342,78816004,2332339133,1958742784,48940,9162635,2337481719,2178876382,50632643,1107391239,24363267,2332526914,4286798794,1191474182,2346445639,2679854017,1526761732,1946615427,3947251204,77446846,506365,3787459244,2147841275,537173518,168076704,2785447872,3138353156,79234206,1125634304,3925533251,117312537,4151641254,3892829673,74714739,58064650,3893256425,244052026,3979478181,2315559841,1381061629,3807858769,4149791371,1942488035,3666559489,3807860826,24365059,1524237122,65205848,3507319768,4275687899,1963238918,126937347,158990090,77989630,2213087093,3520188679,2329250515,2329905907,200075745,145773507,296747634,3364546698,1223203921,1958742530,2634840322,192630873,2035814404,2634672922,69659481,259610631,200730704,48269912,35028705,34401256,986054341,1912845800,4276652556,3942822085,3049587204,4274585091,2622512072,1307101490,805815808,3896705397,2152399080,4201918527,1949187968,1486701313,1352412020,3020799976,3020061509,1126664260,130456920,3322247467,3640012039,3304992692,4201843244,2252552708,1124567492,509507,3032209799,3456025348,512300665,130417490,130433838,1975909936,3375580152,3455982315,130419829,1377732910,3375579907,3388869355,130418293,61948716,75566729,3171267779,3655885301,2525703935,1162149888,77805195,3237883824,4201902635,126415363,2738260291,1976368644,4290177245,3271559110,3187868089,116064262,3187934393,3015639044,1958476804,2736163682,3330954756,3771982898,3610173574,2330121130,4000665293,3137340870,4267246771,809468105,3796042613,3924345848,1366784780,77577811,3104091071,4093378564,58058917,78756691,1527643624,3204754366,79234207,2784230400,3471311732,2785970700,3102310404,3908622838,1499136858,2959189694,4281264137,1345302608,1354825304,1929417960,10742007,1966750808,822593033,805815875,126354155,3372111939,3193034613,2747204767,178436,1504048124,1364404715,3893303528,1532625777,1947048424,2770241803,2736163076,208922628,3001549232,2770241795,2736163076,2958776580,1642904067,1358874600,1592283731,800087309,3237894224,236447824,53409651,771752086,171538,3896853829,2270694712,126376917,3372111939,1111674485,78965387,1375646697,506198,4161052607,413937404,4192356101,1371756894,3204450233,4244112543,84978734,1509548615,860967875,45832191,78028894,3221935918,2556371828,2337798187,3521368536,2179191267,3898618563,91425724,3943429864,211347673,3959186152,1617345489,3893129704,108203286],253,[1594609640,2582140751,3138286091,2011717754,4232177676,3943246936,1532581889,3150168074,797574324,646586545,3304457347,973960224,1965732329,80016903,3918135925,3219656584,3174200562,976118181,1946157190,2633859337,1294365793,3984716011,3855704476,1638334254,1970304368,2037414256,2037414256,2037413232,1013988464,130435952,2200341040,281343492,3326805108,3304465415,1258648836,3979489160,3955231427,805815814,1976106563,2313733112,805816061,1976106563,3032204277,537380356,180480083,175742043,1395460038,1527573736,3326279948,3281858567,3723024589,1124627967,3137341382,3905094836,309922504,856096953,75736000,75566729,3925696232,2028601137,176285948,1625883513,3271652767,3489965728,113660136,3493856422,3137644054,166200491,309517,221767761,78321291,78454411,1526184936,4132169819,77991678,3792335961,3221510371,77989376,170912195,1462091455,3322194111,753402117,3909317898,125432118,175505162,168006633,3909318143,3674868237,4286588025,3909317273,1397923567,77805311,77936383,1526805736,190638170,1527463912,3909317722,2778767059,2042628612,1908653833,2726241367,1381172389,2625620864,77936383,77805311,1510016232,187492443,1397890677,3137339578,535334912,2035964683,1532665103,3120577769,12255232,4145211777,1393457565,19916882,3320365706,3495647746,2735116248,2768670468,645963524,2659124389,2965308531,1381193597,1510020584,4211337307,1408271849,16771154,78780041,77792967,113704960,2164262053,78786257,1532626803,3739767379,2986801146,1962934020,3898300949,2380794913,4207667210,384326490,176351244,1532679915,2785970883,3102310404,3656792435,77904796,100234,231304,211599370,25659520,42452480,2627581952,585630585,3907858944,2040332306,2549763,77465286,57908480,3271671273,3908588369,1499138426,1405351650,2198118331,74645807,4159390531,3142828891,134087839,3947037557,2328058873,2147788302,1098094825,2342312438,2332336918,168076574,512269531,113640615,2157446310,2627567819,3934455417,14385153,3372936498,3956278900,4209171153,91856797,4261573954,91463107,2850677810,175742465,3556168439,2147598979,2982346963,2785946264,2867591172,2114479848,47697,3900768443,158665150,77797001,77928073,78028995,1352171564,77989574,186378368,3898701499,1532625432,3893039336,2277181820,34269281,2447924058,4276640501,4175030282,451435354,2150743028,3916568762,4108974493,2489117084,1356891807,48955824,1436729394,3297138692,47774,72556169,3924296564,991857091,2477582339,3817592693,72562315,3447011129,44534354,2203209728,2281047235,2021720063,178497,3220409340,2784167075,4132656731,4278473990,1455296373,82805508,4076864185,1958752933,4031506435,77839967,4227859129,2338235891,42765076,80118528,4031375446,3280152555,1125092100,344677955,72681206,2332456447,3942929942,1892745988,1377077557,1128470411,2783466328,710499313,4045400261,378080116,3515547694,2095698823,2313391002,2332247326,2147695390,158673983,3902465768,2481585986,2594761107,1465275217,3141055058,2780759198,78036484,3109231083,3522691076,3796058903,133585914,4264129856,4264195084,4129715402,561577733,746643573,2149217800,360057066,3104089278,4093444103,2653323428,3203080196,3944746880,1583307474,58087771,3909383401,1049233088,62456998,2027620864,2148693292,494012655,4069187210,3833648266,1961550368,3570464784,3553678033,1967178998,1976565255,110881240,3944795264,2789116148,75032836,190547,770229083,67812096,3897756907,3277520898,3137347560,1048577123,2013332648,3323098375,33859590,2964292072,2945050637,2229799600,184337327,1644412671,116787828,2038432935,1644936707,1913027560,77577992,3942646969,80118537,3104089023,2771255298,3905158370,3897755917,3068659585,99113975,3915078144,2318333869,4142438407,776163336,2745370507,46367492,2735180590,3280143525,1499092994,1360819272,2270384210,4152617177,2335069019,2676698647,3941072898,3280165873,3286166276,1944637523,17426691,3898651323,803735254,1527345671,1274749928,3273983942,3037066216,3036836624,96331783,82314100,1064852474,3305296010,75630122,3640001913,855294696,11659465,75577087,4175095890,2164690778,2167865092,180367876,3892737218,971569843,2164690936,2167865092,75603972,2315416297,75604176,41205770,4035627262,3364536834,3224503416,293193866,1397903696,1527097832,4267202906,2331080896,717392609,2042954433,75669527,3338296040,843263495,717238985,3905235650,384563787,1376027296,75577087,3257582890,58245378,3908712168,922681383,1374160001,75669752,75564687,1515765770,512427893,1743323986,4274127361,3892541640,1542060559,46500353,4274072258,753437376,83656451,2697497091,1076102275,3364487797,83814595,41027508,3370651828,1962498820,3897578249,1532688651,1352459914,75568779,178058762,4261573842,2649883338,116787572,1963197571,718208514,1357286132,1323893624,1347441408,1476714984,4151690494,3892625384,1347946382,3523216313,78047460,3297382514,1622326168,1810421763,106293253,1857752811,2563017312,1407768579,100198405,293100376,3254671704,1347637329,1476697576,839052123,2698835684,3758228610,3221931262,116787572,1963197571,2328690178,1489580780,75577087,2184087632,4150192132,2128874072,3905194501,2740517183,3221881985,2320174197,1949187079,512312065,2639790930,3288470898,75638410,3825910826,116787572,1963197571,180420098,4132104384,1206507915,4141910528,62144708,3828482677,2298774435,2315550990,78953440,4129294278,57936068,1395328966,1526970088,130418809,3806876461,3326302981,3521654791,75735299,75566731,3018392440,6875645,4164675667,2281927771,130433839,78887680,1379830595,2165738243,75669508,4213957682,1131739179,540805002,708634228,28631668,3897578315,3828542186,4134808892,4067699516,4000588860,376778812,3939821635,3947565171,126372611,1961101912,46433272,173585387,1543206116,3273983942,2315551649,3490100684,2165738472,1393259268,4081444946,3915038770,3330997823,58197292,1391994600,1492507368,1975519824,3372108545,350750328,509688,75564687,3909048809,1836319467,2745240697,762628,2718213536,195100685,653733376,4169884267,1839254154,4158927458,33557286,2699309768,4146987021,40004390,786707144,1651381899,2318325507,308440862,2804320473,2726342660,378078374,512229387,78643213,3909286818,3015441336,2144516,1128466179,4263836386,3942648739,186026913,220105216,2965385984,78029440,78063240,1408995305,77511505,8390529,1929380793,4282598158,3792205063,2785476344,1495257348,116793460,1979647134,2670100485,2780560900,2315749892,603980455,2162458751,663281674,3296969563,4220053764,2162222208,477331652,309674652,1975778973,3687905555,77989630,3914861173,1973287786,4276256771,77839958,1178997897,78069386,2155864961,478732042,4052468574,2332341480,166220238,2148102658,3087312446,132845433,78003840,3892738456,3488088576,75938564,1493455336,76463953,3892610747,2260403253,73263108,3892444648,2260403378,70576132,3137469416,3320317076,2198041345,1474823403,74799364,3438002686,1978198411,3285027588,77932160,9431167,3138378682,4209541961,266058482,3900787131,2778852709,2013036548,180552051,604600768,77963903,1350414520,2684380392,1950090406,3686402419,2202647311,871549161,2139143122,3900695424,712508054,3900754816,686353705,276339713,2159792691,3978029184,2013338344,55633923,12309043,3976980607,3892541597,2780496706,180367876,58301447,3145742208,3202900532,108633594,2147788219,3150151735,4159201891,4043302913,3908157160,2766668717,33614071,3892560872,132705270,4038649859,2771845059,2738290436,4283885572,922704730,922682531,4192732325,4281133057,300505691,77963758,158973962,1467855039,2778890020,2180808708,968821874,3526580091,3900768443,2730159600,2131344176,2013389288,2067971898,2738290519,2771844868,3017259524,3900792251,1515973733,77805311,77936383,3137446888,837313097,4284111866,4278494006,3892618550,1515913616,3152915432,115958354,266058490,3917564347,2461723685,2147924746,3907791081,222081111,602407797,126496433,1975519811,2680144878,309508,4227858616,3099831283,2745368576,77964036,2812099,2745241209,1958742788,2030153760,3285775900,2795558093,1958742532,77963280,125091850,91816368,214161654,4221616897,4261952514,4274585288,4058563528,1393324799,3898698427,3991404750,868441066,2147531730,3287002344,3154106344,292708394,3454535915,1614461951,2884110194,4034258944,2771845059,2738290436,4211525124,2632452098,4017154048,115891034,79283185,1125634304,3287999043,3506439353,3796585247,2407580666,3793747970,2965095169,150568964,3109103218,2864381959,2317847044,2281701767,4158800647,126402610,149520473,1948312704,2854619353,4292012292,259311882,3085498449,2281069055,1963982850,3284132537,3204751294,3120301227,92995588,4270098853,3287802623,3104079039,116064258,3104078015,788267012,1135282059,2348343875,3276491743,3942951871,77578218,2881480171,309508,4093435527,3286140837,3143062353,2881422495,309508,1610607080,1371756891,2881181523,77577988,378137579,512296099,2344813733,2332336918,3271861534,1929301992,9038143,3280623443,77923890,3674881912,2778797688,1925393156,2704962882,3257599139,829766002,1609285682,103531403,728892581,3263898485,77792811,427106674,1206632498,2780780371,839355140,2030347526,2770766355,2028210692,167882758,2955733952,669776383,178513,2778783367,2042628612,4260857602,3792074151,3942691067,2953212685,3955231233,184528901,1599732160,2981872475,3210171140,92931237,41486130,3109139435,3303735300,3898736571,2548629234,3322639871,33749766,77792967,784564224,38443,43915822,166249216,2684909822,3221882021,2713915000,3221947555,3905098104,142147060,914412237,3279946917,1023714209,175472640,3897807821,3915115995,519569382,3150120099,870843513,77053696,3087009977,4093378560,75014827,3271862946,1929230312,4272089347,2676692875,3116564482,2783444996,3909317373,45743766,4270909696,2264925369,77577211,1929220072,4269861123,45735815,77840128,1944714119,309758,3892617151,57867636,3120457193,2747203586,4267501828,1929208808,4280150275,3909012969,79297880,3104011008,3210543106,905905317,4209135439,2881471317,309508,971510251,77578237,1929381049,77840134,1476395705,1195836815,3276864226,2046631912,3587031809,3035169650,4095470067,3136946176,3666739296,3532571278,1688387634,3146888452,2595880960,787647238,1124567212,1976434242,118406388,3153728205,3824615488,3274431372,4127195323,108392644,3771925681,2303449227,2332044318,3441617379,4137823408,12040961,842663878,49914560,2717910690,1705116779,2662916,2298678971,3137539102,512295802,512426978,2303393836,1258490398,118405971,3751937200,512316164,3751806176,46202372,3067120320,1524237056,512481927,394790112,1127712835,3104104352,3221880884,3666284148,3666336003,1128470409,4067805438,3640908423,3372110659,2332374690,2332352542,3390231,512350723,1130038500,3153545,54861449,616729178,2328922878,2328046274,449219288,1945668295,2909333763,3956474801,37537674,12256114,717392386,2329447107,2328304326,3909317624,512339274,3666281226,2891401,53419657,512353163,512426821,3666280496,732773864,1397443546,3850430555,3900693691,2565405567,3280988588,1954103840,1713402725,6645106,21,0,0,0,0,0],254,[808466229,540095792,1380994883,1112088622,959520845,3772264760,12181997,3649829952,3137339320,4281051733,4249856755,3414947723,1975792300,610460709,1962979520,16547869,3263824756,2162811562,242483452,4068925578,3631499260,113231,4207137003,1939789236,2068608334,2672326986,3973186993,1085292915,997318864,1923015730,2016703542,2670754354,3973186993,3838847346,4290258288,3633248767,3280919436,3515793804,3800814220,4119587979,125042315,125159219,199455736,4093736135,2699428016,2578482150,4239418342,3224003046,3993229498,3099246846,12119555,3151007472,381476864,20179424,78697845,1420822758,3375055846,3247102346,1085293030,1105478630,4219525130,3791942911,2327112689,3871943619,3862999105,574743619,3791942872,2963336180,2957239892,3863078418,2332012557,3120073432,12189704,3102666240,2330722561,3627805920,2062091124,3991028479,3748974838,31915952,1487929830,11537382,182847718,199639472,199639728,199639984,2382381240,1914604504,2394958592,735612608,610329855,2969830412,2346767116,4242574024,3841843882,1947149410,268483096,11591818,12173966,4093586304,12747178,1976368648,3860050159,3859329056,3859394593,2394958625,4243136,512351886,1048641650,305397874,3633199220,2386555068,3153628112,130482212,1128522422,3085438860,1710981124,4289859189,2315565800,3405687491,1053685365,3170506510,770301976,3909317886,817430205,3167784448,3341156608,3271559174,113714914,4026531850,3103795945,3224510464,1124532782,3221945058,1380012227,542725193,1128613955,1345462347,1414091329,1212358745,541803333,2394958641,113714880,4283695124,369542950,4210032640,568721584,3221889508,4289735541,568599014,561316100,571900,3087016127,3098272438,2209083392,4091675843,737928242,3808355017,1961102078,16890376,4194545128,838907124,3875451117,3859853345,2316742979,4131448513,74842052,3723229666,4289729201,11813094,568786608,1979696374,3925467852,28573750,3875516496,3860901921,1355765792,1084777188,431884404,965090,2158496491,666767476,965090,3439329464,65464336,3478713594,825242144,4243452,331226894,2144767,4289766899,917512678,11551718,1088831718,2382381240,58255576,1957362560,3862736934,3834679393,1979655264,302448150,113714688,3870425120,570869542,2968518656,2955011838,2992760524,1610660612,1979631848,1976237575,2416438263,3892380090,1625555678,279118004,1966089216,10021123,4236304518,4262032432,553418944,61866613,3454282320,3142604816,3099242496,268482819,4236247472,3138090032,3636115456,1073789187,2398013694,4241603,1048696974,305397874,3683519860,1962702568,16955910,1476559336,3439375440,1881192464,683278123,2884893696,4236267608,62569008,3669623668,721990659,3290623177,4192339061,3375043563,1959011052,3959022084,3523457288,3957618156,16955910,1476541928,281870516,2382381240,270961368,216301568,3841328304,3498774532,1659164811,548671268,363062518,1090224896,3224044148,329499395,1916698880,1947350016,67156813,989860025,2386982609,2210631387,3280015553,1397818368,4224903250,1952013146,2329578726,2982578920,3907572228,3330932798,937955108,2982513152,3907572228,3314155566,669519652,3806903808,3892315321,1256784464,4241408,378263694,3523936277,12185716,16482560,3152508688,2615873536,3139374622,3034047671,3439376142,549658384,825307187,808857907,2013510705,805468163,875770417,943142453,1128415545,3091612996,3633184832,1195648,3896079361,736297394,1642483120,1974139776,3872174114,3863785569,3804834657,1012983038,2316923904,3523523048,4288473320,254068106,3204421096,79291559,29288448,3230580779,234893497,4277386783,4227866815,1085842931,2966982144,2959205965,2955011839,3091457718,1122370771,1122419850,270820068,3892341666,1005065278,2165105428,1929724155,284918022,3188290308,62514347,24045568,568786096,2818576544,3909317889,3165651129,11805158,3304461261,3122689535,481297394,3804834798,872342270,2281813458,3892330006,124913907,3974636213,3188290312,62514350,19589120,4072279216,113765891,1966106,1836743,2981953566,48868,5671726,720284336,2856119488,2492008053,1178992648,4253107525,3832931511,3120562363,2834039802,3339220472,4160749703,3124970243,2834039546,3339220472,4160749703,2336441090,3523457478,2730691272,28966929,262728706,243271029,2953838609,2158028416,16781886,28968564,1107968,2147536873,16781886,787022709,4285983226,3089037980,3633184832,410318346,635963059,4278116864,2163570126,16781886,3450865269,3907740134,233308595,4278116864,3807737290,536797950,3065037725,867714022,2319640069,3829589700,216042081,727836163,4278117065,2331669963,3277973188,1642466480,3794359993,3872174334,3863785569,3875385441,11860769,3304507691,3791812095,2321605881,3872174296,1375454049,610395216,727836351,218030793,2959205952,1478551072,1085853529,2161675776,16781886,28706165,788485609,3074819210,3440292864,3103056400,281873933,3440249528,3103507216,3633184832,2818576545,3106108417,3025207300,1913900288,3137516564,3280863232,3128688827,28901376,3439439872,74668307,416145634,8126698,268032,3221323779,805330944,201332736,1377762048,2337363798,3135689202,3666739264,38027,376754699,410313738,1316277502,58051838,4261448169,3909318092,1599668409,3474938462,3263422602,4001411075,3268465802,3268461264,3800154832,700383246,2348418023,1107296404,21334574,2318289646,3263426053,616860163,3934514719,3993022466,2203089387,61867202,2211001326,2834039490,3792205088,3430963449,732425040,279506121,4192340085,2160885848,726309099,547941577,4192340085,2160885848,3934488811,3247069445,4286507502,7415424,79856511,2213413296,3375039170,1965074668,3036275207,4284672384,27847754,116787573,1954545777,619506676,2346748446,3959423124,2348763113,2197815444,2330723778,3924574944,519831352,4242259,3825916814,3439201140,3439206516,526069108,4203805647,1711755,1842747,126612340,2298486504,1526733342,2348470047,989862430,2332040222,526121735,2684355274,526057495,46367695,4127617,515572597,978502400,490227269,1082144298,67637280,4279959810,4294967040,4294967070,2147426303,85398015,353965074,454037257,33491485,117834771,202050056,4294967295,51911196,219021846,4294967295,4280352767,1633705822,1701077858,4294928230,4286906231,4285857651,4285988725,842079231,909456435,809056311,151534893,1919252337,1769306484,1566273647,1935802125,1751606884,996961130,1560240167,1986230394,745369186,721366830,469704959,606289953,707157541,727656744,1464926216,1498698309,1347373397,4279074171,1178882881,1263159367,2116172364,1482325247,1312970307,1061043277,553582847,1448432895,1515804759,1750948955,1818978921,1886350957,959985521,909456429,858927403,1212624432,4283170633,1347419981,4216541777,1381061456,102651734,4241660,1625610382,2321671248,3867151584,3873474145,3767162977,58064700,604141033,3204910719,146401410,2326721024,3909317828,4018208904,2318329987,2833812133,2153018752,124981500,1517064,4127228905,67114758,1379690613,116794741,1946681367,2421943043,1509110,4128077088,50337542,817368436,30992722,1509110,2230547459,1962940454,405145677,388378624,1968323584,1375778881,2147596777,443748604,639685878,3090939927,429927541,2281747456,1006639398,3911152640,3572892067,1582624,2151421163,116789363,1946681368,1950694423,405176325,2969237248,119596576,1516134175,3478674265,1509110,3909317896,116785295,1946419223,1968389169,1913046829,3910284288,1330836945,1280004432,1229473613,319951120,387323156,522066200,589439264,740697380,808398381,960246321,548406645,3204523497,179956362,1974399488,2347729170,1679594,3841329844,430098179,3331058432,6406,4060093113,2953147822,16312576,208798268,141758012,2960573568,15264000,57883452,1023370217,3153687367,636086627,386332161,1534329856,410338876,2298486459,2298485278,3321895966,2147512582,12065741,11856128,561333564,1576576,3860901896,1228832800,125044480,2684606650,4142792805,134223878,384432501,1966554367,1912649734,3137373673,993847442,2028667763,3905731472,1006683113,4130173767,50337542,255613812,12060277,2422336271,158676796,551952560,3672704461,1916484862,3914971910,3137378281,1089202463,1509110,4129322272,50337542,1245454453,1312557940,1194069108,3957947067,1244510327,733487851,4129155918,50337542,1177346165,3957943739,1916484619,3942690820,3907369735,3610167550,527761212,1962933376,386332186,544489472,1509110,1007645699,1008038465,68253530,3910003488,1631387228,2050754162,539755127,1842827,1625879435,438189052,2299098112,471763204,4265273600,3909094888,992804404,3767195438,2833973424,3142669136,1642332352,3875284048,4766049,34406114,1220108774,1274995200,3864587125,1482381665,1364458435,1431787038,3203173202,3733848128,3137346792,4293394436,1076267009,1093044736,33325056,1599953653,1532567390,2315256522,1059487984,3825893120,3439208308,113669236,2147483713,326305018,1786039550,58051838,4261451497,4268258508,3328734412,16793862,66239171,4169978,3771860145,209002664,108347560,108298408,3237921022,135053566,1040631534,113639424,201326657,3908824580,1117782568,1958755328,1091469319,300621824,1206387636,113409,3137433064,1743257603,1101054721,1185989376,3020012008,2956389222,2163600194,2147499790,2817018544,3947738113,506660,3137421800,1005060105,1030913,3137418728,2884173841,1057914880,1253081088,3019997672,3322442565,151011590,1354956976,2966063697,4209037825,4196038,1057391871,2150724864,4026548006,4130312,3524309243,214043360,4072296972,4133154307,2147499782,347804276,14739456,141878282,4276275499,4142648574,3773323771,4236924928,1265762486,2431513534,9758806,3489752714,2162479332,3792307428,2147517928,58019327,2331992809,7923941,3892405898,3783917682,3137367528,2481455111,637696,3137375720,2280128523,899840,1577091560,1912684776,24373317,3204202354,615252034,1010529472,2888398144,78962896,3771737202,280289488,3771735154,376572084,3771785424,242353332,62185680,3771730034,41026228,638066868,2011693121,787006209,1877525249,3286512129,4105851218,3972608771,208945320,243333602,1501560897,3287898202,2834090291,3791943040,2330717177,66435780,3277478382,2394958622,2016855512,2330710272,3295813408,1359065283,3235039882,1040614489,135492864,3019914758,4289521671,2817057418,7530751,263465330,2332007912,4288211170,2481513866,6220031,1227676,1375712744,167913145,3792073956,3956080382,3281869299,3859605073,2982185995,2327892740,66069736,4261573571,82202821,82232458,254068106,3867836902,3906060330,441168,2331997672,3771947212,98979912,99009674,3238221913,3858935897,518570762,3021238784,4280870920,1912622312,4366346,1614569508,3287810676,4263552,4223924544,45306195,116836659,1971322942,4277658124,2163439051,2147500302,645963001,2642346046,4223884121,1085820958,2161675776,2147499534,551952560,4241432408,1358971583,129192786,4105881907,2158554115,4192341109,4263552,1515977088,2834088793,2147972416,536887566,3963809771,3108439432,4276224010,279505994,3422422644,3823880821,3277412955,973096352,4694213,146475636,4273006592,3237921930,3485712682,134358274,4132503338,519767065,1397839442,2382381246,3522333662,143952870,1959922432,1961101836,1959591438,1959591490,1582914346,1355751258,3375565491],255,[2330739438,1971366112,4277658126,2163439051,3833594316,2954161145,2968404493,1348005388,562315,3767200834,1526260864,4102079114,1354951496,2952970883,3904433672,4252321795,3958246576,3488677083,452063473,821537266,1106418930,3287514611,1425274611,670316786,2063016692,117242866,1397838366,2320521046,3521393348,1039174624,74580000,21490008,2382381240,3087055064,1064587,3204993,1966145411,2952837123,2321072270,771770662,4031096063,170731576,471402015,117835522,0,173690993,471402015,117835522,0,170731576,1885603455,117833986,0,257052769,421070361,202050818,0,268437504,1073758208,1347430440,1347430440,690825260,689843754,3003372730,822051584,128976757,4261655738,2732624579,378077257,1344143459,79856466,1525597066,3633233963,7610053,1096024,1912798336,2161705744,158467324,4236302595,50491911,3828502745,1122944138,126534910,3796517870,857692403,1312721407,1644611072,12124160,83656736,4236250226,855929863,3104238528,548931584,3349934855,1728077830,4825088,4035699762,6493835,772063875,4042556554,6660846,3968109102,2749641456,3867213898,2335047694,2314265740,3103804430,1354694664,856104448,1118565312,1048588464,1963327561,3997151234,1593861794,1515805534,3033466655,1611565322,190464,378269163,3297378403,3314172654,3297397486,1122943230,3287204234,3979530122,4052476369,5280905,6438456,3263890805,3942646504,8382654,235128971,4191223886,3253210804,3750413311,3822190386,5281675,6295179,1482382943,3473350488,2332058274,2550156302,2749495120,3364552782,213187025,1543476200,2274091985,3102212176,4285786623,6493835,2684732035,4278845542,3760459381,169862016,1721953987,4283951360,3956334372,537719667,646639595,1235222602,1648265728,1499356928,1409236969,3297433739,4859638,3271819058,3277578449,4236302474,2148037124,57935868,1392636905,971555211,53703680,719751920,7727331,4244894979,4118138110,3894456408,4244832368,4151692286,2382381240,1228832984,125044480,3120588192,3924689880,3733651169,1048632043,1912733769,1228832793,309789440,64666194,145288272,632355700,3993229498,2129156696,1309017087,2348321536,4275121136,851640006,1244564461,2330788608,1244067523,113246976,16482335,1456114371,1604711255,3398091614,1605104471,3632987587,1912929408,133988360,2800288628,3263910657,1962906600,2330995488,3907201766,4113301455,3439263019,2958620021,4291487776,3422485803,1474951029,3957230335,83656941,4236249202,3909317639,451412649,2347993856,2197840662,520488642,1963043052,2834103035,2918937601,2331910377,2347578063,2347160049,855658628,50783195,3791670302,4274776314,2160318467,141690108,1946680448,28436739,1364255626,2348798184,2338019835,2197840662,2834040514,4210783489,1946265836,2881719291,3924353787,4236312017,2148037124,57935868,1342275305,4288669777,1532623755,6493835,3959865987,4218749352,27847930,3280665460,3907143594,3908935913,2317746225,3536069124,3536751328,4254067136,518541392,585683456,210380484,2160326235,3572895093,3238710306,1476692006,855470313,1408625601,1378398288,4143899264,3270925026,84112385,4035649536,3151072088,45679296,1228832771,108135936,3103883451,3928098563,4060342995,3375036298,3439511760,4168470526,3973243786,3632972635,1793638795,737708802,29524433,3504787457,1228832998,74647040,3889291984,3978960646,3822117840,3280612724,3841347764,4026791819,3811239562,2164293864,2166337774,4263489775,2331080140,8972487,531689345,4118137854,2331825385,4260162526,3263944842,2332168424,2177969144,3489726914,2162610406,100682046,3805283699,105375697,2179803679,3489722567,1961087203,3032713774,2347038288,2330995703,3907201766,4001431585,4018217040,3439206480,3347771765,2164271592,4263530735,4243944907,2331800809,2330717150,4082587338,2170445732,2166358214,1444937927,4090137175,3277741988,4082616970,3347144618,2320965632,1605039050,1342223555,2332132840,2151438584,1857947251,267063034,723419180,3319697142,2348842038,3511820250,3521171936,2163213280,100682046,1462530591,2885989974,1971373046,648849942,536839560,4266641283,1592554958,3823257439,654046441,2896823602,4286919206,2329996063,3907506643,1448542417,3903587510,3273851102,1954595574,624043527,21312038,639993894,2885764488,587253224,2160260803,841353844,639631525,536970546,10848294,2240292384,3347259393,1976499792,2204065473,3068265159,3908801769,4035641558,2332617859,1228833004,520488448,79043186,1183319178,2223654144,1183326208,3330491648,1976499792,2417486827,79095505,2164295912,3894411462,4001431681,3472760752,1858072181,2198277882,4119529709,369144060,8436255,146364246,1604776704,4263408734,147293120,1022195018,722629632,3302526656,2348842046,1959201728,3951079428,147096530,2163937513,3280602083,244049,3771785424,4175616010,3277454218,3126022482,28901376,601393920,3520269273,2346832352,198779864,1944179155,1539476460,2328058457,21269028,2998927545,4173432064,3505979764,3521761746,2297590761,3276079190,1392529569,3297433739,4859638,3771850961,3271819050,1347470171,281871284,1946696792,1947024473,1946827870,1946631262,1648265825,3104486400,281870337,372949758,913637450,4269801650,3022877976,3439376130,4825104,108135484,11994940,146015861,4236906701,3104178616,414580736,4855434,281922302,4199016792,45401854,4202755307,4277629952,3002330058,2163206912,3899988222,45332971,3958294504,84083675,50529029,2332079108,2197840662,2834040514,2826466564,3028186114,1662421776,4005857792,3901418562,2328165962,3963809476,512419210,4280942665,2711587374,734211063,2030063110,47107,1048576945,1912864841,1228832810,594806528,4076218546,3976390794,4280999050,4800128,2969859334,3554988036,2329184995,3505311984,4128435182,2315274806,3537144560,2330495712,3556717276,1375843555,6493835,3993485955,526278490,119480095,3089038287,3633184832,520098721,3089038287,3633184832,520097953,1344207823,2382381240,1898348760,3898113792,3391029252,3825860610,3439203188,3439204468,3439204980,669582197,4185961473,610395331,711059191,1642382308,4125820940,3193327955,3269984263,610460673,7053840,4131355322,2147512582,2330526580,58018304,3892348137,3957522630,3104012474,568590848,568721676,7407350,1366062464,184593896,3312736713,82039611,3907174259,2615731826,7006208,1232410172,1364941150,6883015,12255231,1896281601,594903040,1912623080,637920030,1229129608,3907682122,1038614592,2179213824,251685182,3808851229,3033393926,1522859521,4132491563,326435780,3942653928,57953806,1593795305,3526056793,3830449332,3875415073,4282574881,33325144,1364444149,3897624753,551747622,2156627,52028248,4043014616,1503655174,3902723536,3388866777,3314212981,3277543928,4192991577,2315281593,3825232678,974136418,2734219716,11534443,1088701414,1088741514,512476294,3626696807,3271583651,1642352979,17628452,3065012710,2800239590,77641728,3103819240,3908634624,4209115240,6482168,380656473,3338683624,4278216966,16825087,3892808230,48431157,2135574851,6922739,2253443319,2353376,2091096,3614820619,2144593,2812153,2958686946,3091457712,870842369,4269467648,1371783211,2984806992,2631258120,2634025960,4261422312,1492284873,2696463193,3087233540,3830448720,1948263522,610460922,1492808992,3297395430,2713928422,3637575785,1912131793,135279876,2748371449,3905093737,1119092259,3792109753,1976303358,50167,0,2172518400,2579333541,4286480001,3888381915,4268523263,947715838,940572688,947715708,2084046864,2097086008,269515832,2097052728,31800,406600728,4294901760,3888366567,1006698495,1715618406,3288268860,2579348889,118489027,3435953423,1715239116,406611558,859773054,1882206271,1669325040,1734566783,1520025830,1021830972,3766524250,3774414584,235012224,239009342,1008205826,2115508350,1717966908,6710886,3682533478,454786011,1665007643,946629688,30924,2122186752,1008205950,1014896766,1008271128,404232318,404226072,1014896664,402653208,403504652,805306368,811662944,0,4274045120,603979776,610729830,402653184,4294934076,4278190080,406617855,0,0,2016411648,3158136,1819017264,108,1819017216,1828613374,2083520620,4161566912,3321888816,1714428108,1815609542,3437000248,1616904310,192,806879232,811622496,811597848,806885400,1711276128,1715273532,805306368,808516656,0,805306368,24624,64512,0,805306368,201719856,3227529240,3330015360,3874938574,1882194044,808464432,3430416636,3428857868,3430416636,3423352844,1008468088,218025068,3237740574,3423341816,1614282872,3435985088,3439067256,808458252,3430416432,3435952332,3430416504,403471564,805306480,805306416,805306416,805306416,806903856,811647072,24,4227858684,811597824,806882328,3430416480,3151884,3330015280,3235831518,2016411768,3439119564,1727791308,1717992550,1715208444,1723908288,1828192316,1818650214,1660813560,1651013736,1660813566,1617459304,1715208432,1724825792,3435921470,3435986124,813170892,808464432,203292792,3435924492,1726349432,1718384748,1626341606,1717723232,4005953790,3335978750,3871736006,3335446262,1815609542,1824966342,1727791160,1616936038,3430416624,2027736268,1727791132,1718385766,3430416614,3424415968,3036414072,808464432,3435921528,3435973836,3435921660,2026687692,3334864944,4009678534,3334865094,1815623788,3435921606,808483020,3338535032,1714559116,1618477310,1616928864,1623195768,101455920,410517506,404232216,940572792,50796,0,0,808517376,24,0,3430681720,1625292918,1717992544,220,3435187320,203161720,3435953164,118,3237792888,1815609464,1616965728,240,2093796470,1625356300,1717991020,3145958,808464496,786552,3423341580,1625323724,1819831398,812646630,808464432,120,3607035596,198,3435973880,204,3435973752,120,2087085788,61536,2093796470,7692,1617327836,240,209240188,806355192,875573372,24,3435973836,118,2026687692,48,4278113990,108,1815637190,198,2093796556,63500,1680906492,807141628,808509488,404226076,404226072,819986456,808459312,3698720992,0,268435456,3334892600,519766270,4241488,173594766,4261901540,4212552908,2700791583,113639536,2332033136,2332061198,3942673430,378141418,243859564,113639534,3942645872,1344207834,4241490,117430414,74776684,7210751,7224963,2165929240,2952817726,3339810048,28166,1812383488,3321888768,16805894,4198142,645925749,2968518719,66238988,2954677742,1512105504,2781814616,2280653054,15728873,0,0,0,1459617792,15728879,1694498816,1307574512,1106247928,1508901112,972030188,1508901095,787480824,3538944232,15728879,4076208128,1861222630,1408237822,1408237823,2767192319,3354394864,15728879,3472883712,1397759739,1354256977,2161675776,16777278,113663860,3019964416,2316356879,3893999052,3025207381,1494273283,3033674578,3020999938,168873224,2952951232,3526578720,399369266,633665114,3271434613,3749038650,3800748594,2353234,986119770,1523611118,281871028,1734,1510664960,281871028,1734,1532582655,869211992,2967745234,840420618,3440226532,4294951703,4294967295,4294967295,4294967295,4294967295,4294967295,14703594,791949552,942617650,3959422769],true],"parms":{"id":"ibm5150.cpu8088","name":"","model":8088,"cycles":0,"multiplier":1,"autoStart":true,"csStart":-1,"csInterval":-1,"csStop":-1}},"ibm5150.chipset":{"0":[125,240,125,240],"1":[[]],"2":[[[0,[19,8,null,9],4,188,0,0,7,10]]],"3":[182,[[[0,0],[206,237],[206,237],[42,246],0,6,48,2,2,true,true,true,143138628],[[18,0],[18,0],[18,0],[0,0],0,4,16,1,1,true,false,true,143138628],[[51,5],[51,5],[51,5],[0,0],0,6,48,2,2,false,false,true,143138628]]],"4":[null,77,null,153,128],"parms":{"id":"ibm5150.chipset","name":"","model":"5150","scaleTimers":false,"sw1":"01000001","sw2":"11110000","sound":true,"floppies":{},"monitor":"","rtcDate":""}},"ibm5150.keyboard":{"0":[true,true],"parms":{"id":"ibm5150.keyboard","name":"","model":""}},"ibm5150.videoMDA":{"0":[true,41,null,249,3599,[97,80,82,15,25,6,25,25,2,13,11,12,0,0,8,112,null,null],null,98513688],"1":[false,0,null,null,0,[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],null,0],"2":[3,7,7],"3":[],"parms":{"id":"ibm5150.videoMDA","name":"Monochrome Display","model":"","mode":7,"screenWidth":720,"screenHeight":350,"memory":0,"switches":"","scale":true,"charCols":80,"charRows":25,"fontROM":"/devices/pc/video/ibm-mda-cga.json","screenColor":"black","touchScreen":false}},"ibm5150.fdcNEC":{"0":[1,0,128,[1,0,0,7,0,5,2,42,255],0,0,12,[[0,["Floppy Drive",40,2,9,512,true,40,1,9],0,100,0,8,9,512,512,false,"PC-DOS 2.00 (Disk 1)","/disks/pc/dos/ibm/2.00/PCDOS200-DISK1.json"],[0,["Floppy Drive",40,2,9,512,true,40,1,8],0,107,7,6,9,512,512,false,"VisiCalc","/apps/pc/1981/visicalc/disk.json"],[192,["Floppy Drive",40,2,9,512,true,40,2,9],0,102,0,null,null,null,null,false,null,""],[192,["Floppy Drive",40,2,9,512,true,40,2,9],0,102,0,null,null,null,null,false,null,""]],[["PC-DOS 2.00 (Disk 2)","/disks/pc/dos/ibm/2.00/PCDOS200-DISK2.json",[["/disks/pc/dos/ibm/2.00/PCDOS200-DISK2.json",-1667401150,40,1,9,512]]],["PC-DOS 2.00 (Disk 1)","/disks/pc/dos/ibm/2.00/PCDOS200-DISK1.json",[["/disks/pc/dos/ibm/2.00/PCDOS200-DISK1.json",1517270209,40,1,9,512]]],["VisiCalc","/apps/pc/1981/visicalc/disk.json",[["/apps/pc/1981/visicalc/disk.json",910845318,40,1,8,512]]]],0,0],"parms":{"id":"ibm5150.fdcNEC","name":"","autoMount":"{A:{name:\"PC-DOS 2.00 (Disk 1)\",path:\"/disks/pc/dos/ibm/2.00/PCDOS200-DISK1.json\"}, B:{name:\"PC-DOS 2.00 (Disk 2)\",path:\"/disks/pc/dos/ibm/2.00/PCDOS200-DISK2.json\"}}"}},"ibm5150.debugger":{"0":[24687,1536,null],"1":[0,0,0],"2":["d state",false,0],"parms":{"id":"ibm5150.debugger","name":"","commands":"","messages":""}}}
diff --git a/docs/pcjs/demos/pc-dbg.js b/docs/pcjs/demos/pc-dbg.js
index f65651d1bb..b27cf88988 100644
--- a/docs/pcjs/demos/pc-dbg.js
+++ b/docs/pcjs/demos/pc-dbg.js
@@ -487,7 +487,7 @@ Ha(function(){for(var a=D(window.document,"pcjs","ram"),b=0;b<a.length;b++){var
 var Q={mp:1,np:26," ":32,"!":33,'"':34,"#":35,$:36,"%":37,"&":38,"'":39,"(":40,")":41,"*":42,"+":43,",":44,"-":45,".":46,"/":47,0:48,1:49,2:50,3:51,4:52,5:53,6:54,7:55,8:56,9:57,":":58,";":59,"<":60,"=":61,">":62,"?":63,"@":64,jp:65,kp:66,Vj:67,im:68,E:69,qp:70,tp:71,Wj:72,wp:73,xp:74,yp:75,zp:76,Ap:77,Uh:78,Cp:79,Dp:80,Fp:81,Yj:82,Jp:83,Tp:84,Xp:85,Yp:86,Zp:87,aq:88,bq:89,cq:90,"[":91,"\\":92,"]":93,"^":94,_:95,"`":96,dq:97,eq:98,gq:99,hq:100,iq:101,jq:102,kq:103,lq:104,mq:105,nq:106,oq:107,pq:108,
 qq:109,rq:110,tq:111,uq:112,vq:113,wq:114,xq:115,yq:116,zq:117,Aq:118,Bq:119,x:120,y:121,z:122,"{":123,"|":124,"}":125,"~":126},Dj={16:2,17:8,18:32,20:256},Ej={tab:1009,esc:1027,"right-shift":3016,shift:1016,ctrl:1017,alt:1018,"caps-lock":1020,f1:1112,f2:1113,f3:1114,f4:1115,f5:1116,f6:1117,f7:1118,f8:1119,f9:1120,f10:1121,left:1037,up:1038,right:1039,down:1040,"ctrl-c":4003,"ctrl-break":4063,"ctrl-alt-del":4081},Fj={esc:1,1:2,2:3,3:4,4:5,5:6,6:7,7:8,8:9,9:10,0:11,"-":12,"=":13,bs:14,tab:15,q:16,
 w:17,e:18,r:19,t:20,y:21,u:22,i:23,o:24,p:25,"[":26,"]":27,enter:28,ctrl:29,a:30,s:31,d:32,f:33,g:34,h:35,j:36,k:37,l:38,";":39,quote:40,"`":41,shift:42,"\\":43,z:44,x:45,c:46,v:47,b:48,n:49,m:50,",":51,".":52,"/":53,"right-shift":54,prtsc:55,alt:56,space:57,"caps-lock":58,f1:59,f2:60,f3:61,f4:62,f5:63,f6:64,f7:65,f8:66,f9:67,f10:68,"num-lock":69,"scroll-lock":70,"num-home":71,"num-up":72,"num-pgup":73,"num-sub":74,"num-left":75,"num-center":76,"num-right":77,"num-add":78,"num-end":79,"num-down":80,
-"num-pgdn":81,"num-ins":82,"num-del":83,sysreq:84,pause:84,f11:87,f12:88,"num-enter":7392,"right-ctrl":7648,"num-div":13792,"num-mul":14304,"right-alt":14560,home:18400,up:18656,pgup:18912,left:19424,right:19936,end:20448,down:20704,pgdn:20960,ins:21216,del:21472,win:23520,"right-win":23776,menu:24032},S={1027:2};S[Q["1"]]=2;S[Q["!"]]=10754;S[Q["2"]]=3;S[Q["@"]]=10755;S[Q["3"]]=4;S[Q["#"]]=10756;S[Q["4"]]=5;S[Q.$]=10757;S[Q["5"]]=6;S[Q["%"]]=10758;S[Q["6"]]=7;S[Q["^"]]=10759;S[Q["7"]]=8;
+"num-pgdn":81,"num-ins":82,"num-del":83,sysreq:84,pause:84,f11:87,f12:88,"num-enter":7392,"right-ctrl":7648,"num-div":13792,"num-mul":14304,"right-alt":14560,home:18400,up:18656,pgup:18912,left:19424,right:19936,end:20448,down:20704,pgdn:20960,ins:21216,del:21472,win:23520,"right-win":23776,menu:24032},S={1027:1};S[Q["1"]]=2;S[Q["!"]]=10754;S[Q["2"]]=3;S[Q["@"]]=10755;S[Q["3"]]=4;S[Q["#"]]=10756;S[Q["4"]]=5;S[Q.$]=10757;S[Q["5"]]=6;S[Q["%"]]=10758;S[Q["6"]]=7;S[Q["^"]]=10759;S[Q["7"]]=8;
 S[Q["&"]]=10760;S[Q["8"]]=9;S[Q["*"]]=10761;S[Q["9"]]=10;S[Q["("]]=10762;S[Q["0"]]=11;S[Q[")"]]=10763;S[Q["-"]]=12;S[Q._]=10764;S[Q["="]]=13;S[Q["+"]]=10765;S[1008]=14;S[1009]=15;S[113]=16;S[81]=10768;S[119]=17;S[87]=10769;S[101]=18;S[69]=10770;S[114]=19;S[82]=10771;S[116]=20;S[84]=10772;S[121]=21;S[89]=10773;S[117]=22;S[85]=10774;S[105]=23;S[73]=10775;S[111]=24;S[79]=10776;S[112]=25;S[80]=10777;S[Q["["]]=26;S[Q["{"]]=10778;S[Q["]"]]=27;S[Q["}"]]=10779;S[13]=28;S[1017]=29;S[97]=30;S[65]=10782;
 S[115]=31;S[83]=10783;S[100]=32;S[68]=10784;S[102]=33;S[70]=10785;S[103]=34;S[71]=10786;S[104]=35;S[72]=10787;S[106]=36;S[74]=10788;S[107]=37;S[75]=10789;S[108]=38;S[76]=10790;S[Q[";"]]=39;S[Q[":"]]=10791;S[Q["'"]]=40;S[Q['"']]=10792;S[Q["`"]]=41;S[Q["~"]]=10793;S[1016]=42;S[Q["\\"]]=43;S[Q["|"]]=10795;S[122]=44;S[90]=10796;S[120]=45;S[88]=10797;S[99]=46;S[67]=10798;S[118]=47;S[86]=10799;S[98]=48;S[66]=10800;S[110]=49;S[78]=10801;S[109]=50;S[77]=10802;S[Q[","]]=51;S[Q["<"]]=10803;S[Q["."]]=52;
 S[Q[">"]]=10804;S[Q["/"]]=53;S[Q["?"]]=10805;S[3016]=54;S[1018]=56;S[Q[" "]]=57;S[1020]=58;S[1112]=59;S[1113]=60;S[1114]=61;S[1115]=62;S[1116]=63;S[1117]=64;S[1118]=65;S[1119]=66;S[1120]=67;S[1121]=68;S[1036]=71;S[1038]=72;S[1033]=73;S[1037]=75;S[1039]=77;S[1035]=79;S[1040]=80;S[1034]=81;S[1045]=82;S[1046]=83;S[1122]=87;S[1123]=88;S[4003]=7470;S[4063]=7494;S[4081]=3677523;k=Cj.prototype;
diff --git a/docs/pcjs/demos/pc.js b/docs/pcjs/demos/pc.js
index d618e43a49..8f7b09baea 100644
--- a/docs/pcjs/demos/pc.js
+++ b/docs/pcjs/demos/pc.js
@@ -469,7 +469,7 @@ u(function(){for(var a=A(window.document,"pcjs","ram"),b=0;b<a.length;b++){var c
 var S={mo:1,no:26," ":32,"!":33,'"':34,"#":35,$:36,"%":37,"&":38,"'":39,"(":40,")":41,"*":42,"+":43,",":44,"-":45,".":46,"/":47,0:48,1:49,2:50,3:51,4:52,5:53,6:54,7:55,8:56,9:57,":":58,";":59,"<":60,"=":61,">":62,"?":63,"@":64,jo:65,ko:66,gj:67,ml:68,E:69,qo:70,to:71,hj:72,vo:73,wo:74,xo:75,yo:76,zo:77,eh:78,Bo:79,Co:80,Eo:81,jj:82,Io:83,So:84,Wo:85,Xo:86,Yo:87,$o:88,ap:89,bp:90,"[":91,"\\":92,"]":93,"^":94,_:95,"`":96,cp:97,ep:98,gp:99,hp:100,ip:101,jp:102,kp:103,lp:104,mp:105,np:106,op:107,pp:108,
 qp:109,sp:110,vp:111,wp:112,xp:113,yp:114,zp:115,Ap:116,Bp:117,Dp:118,Ep:119,x:120,y:121,z:122,"{":123,"|":124,"}":125,"~":126},yi={16:2,17:8,18:32,20:256},zi={tab:1009,esc:1027,"right-shift":3016,shift:1016,ctrl:1017,alt:1018,"caps-lock":1020,f1:1112,f2:1113,f3:1114,f4:1115,f5:1116,f6:1117,f7:1118,f8:1119,f9:1120,f10:1121,left:1037,up:1038,right:1039,down:1040,"ctrl-c":4003,"ctrl-break":4063,"ctrl-alt-del":4081},Ai={esc:1,1:2,2:3,3:4,4:5,5:6,6:7,7:8,8:9,9:10,0:11,"-":12,"=":13,bs:14,tab:15,q:16,
 w:17,e:18,r:19,t:20,y:21,u:22,i:23,o:24,p:25,"[":26,"]":27,enter:28,ctrl:29,a:30,s:31,d:32,f:33,g:34,h:35,j:36,k:37,l:38,";":39,quote:40,"`":41,shift:42,"\\":43,z:44,x:45,c:46,v:47,b:48,n:49,m:50,",":51,".":52,"/":53,"right-shift":54,prtsc:55,alt:56,space:57,"caps-lock":58,f1:59,f2:60,f3:61,f4:62,f5:63,f6:64,f7:65,f8:66,f9:67,f10:68,"num-lock":69,"scroll-lock":70,"num-home":71,"num-up":72,"num-pgup":73,"num-sub":74,"num-left":75,"num-center":76,"num-right":77,"num-add":78,"num-end":79,"num-down":80,
-"num-pgdn":81,"num-ins":82,"num-del":83,sysreq:84,pause:84,f11:87,f12:88,"num-enter":7392,"right-ctrl":7648,"num-div":13792,"num-mul":14304,"right-alt":14560,home:18400,up:18656,pgup:18912,left:19424,right:19936,end:20448,down:20704,pgdn:20960,ins:21216,del:21472,win:23520,"right-win":23776,menu:24032},T={1027:2};T[S["1"]]=2;T[S["!"]]=10754;T[S["2"]]=3;T[S["@"]]=10755;T[S["3"]]=4;T[S["#"]]=10756;T[S["4"]]=5;T[S.$]=10757;T[S["5"]]=6;T[S["%"]]=10758;T[S["6"]]=7;T[S["^"]]=10759;T[S["7"]]=8;
+"num-pgdn":81,"num-ins":82,"num-del":83,sysreq:84,pause:84,f11:87,f12:88,"num-enter":7392,"right-ctrl":7648,"num-div":13792,"num-mul":14304,"right-alt":14560,home:18400,up:18656,pgup:18912,left:19424,right:19936,end:20448,down:20704,pgdn:20960,ins:21216,del:21472,win:23520,"right-win":23776,menu:24032},T={1027:1};T[S["1"]]=2;T[S["!"]]=10754;T[S["2"]]=3;T[S["@"]]=10755;T[S["3"]]=4;T[S["#"]]=10756;T[S["4"]]=5;T[S.$]=10757;T[S["5"]]=6;T[S["%"]]=10758;T[S["6"]]=7;T[S["^"]]=10759;T[S["7"]]=8;
 T[S["&"]]=10760;T[S["8"]]=9;T[S["*"]]=10761;T[S["9"]]=10;T[S["("]]=10762;T[S["0"]]=11;T[S[")"]]=10763;T[S["-"]]=12;T[S._]=10764;T[S["="]]=13;T[S["+"]]=10765;T[1008]=14;T[1009]=15;T[113]=16;T[81]=10768;T[119]=17;T[87]=10769;T[101]=18;T[69]=10770;T[114]=19;T[82]=10771;T[116]=20;T[84]=10772;T[121]=21;T[89]=10773;T[117]=22;T[85]=10774;T[105]=23;T[73]=10775;T[111]=24;T[79]=10776;T[112]=25;T[80]=10777;T[S["["]]=26;T[S["{"]]=10778;T[S["]"]]=27;T[S["}"]]=10779;T[13]=28;T[1017]=29;T[97]=30;T[65]=10782;
 T[115]=31;T[83]=10783;T[100]=32;T[68]=10784;T[102]=33;T[70]=10785;T[103]=34;T[71]=10786;T[104]=35;T[72]=10787;T[106]=36;T[74]=10788;T[107]=37;T[75]=10789;T[108]=38;T[76]=10790;T[S[";"]]=39;T[S[":"]]=10791;T[S["'"]]=40;T[S['"']]=10792;T[S["`"]]=41;T[S["~"]]=10793;T[1016]=42;T[S["\\"]]=43;T[S["|"]]=10795;T[122]=44;T[90]=10796;T[120]=45;T[88]=10797;T[99]=46;T[67]=10798;T[118]=47;T[86]=10799;T[98]=48;T[66]=10800;T[110]=49;T[78]=10801;T[109]=50;T[77]=10802;T[S[","]]=51;T[S["<"]]=10803;T[S["."]]=52;
 T[S[">"]]=10804;T[S["/"]]=53;T[S["?"]]=10805;T[3016]=54;T[1018]=56;T[S[" "]]=57;T[1020]=58;T[1112]=59;T[1113]=60;T[1114]=61;T[1115]=62;T[1116]=63;T[1117]=64;T[1118]=65;T[1119]=66;T[1120]=67;T[1121]=68;T[1036]=71;T[1038]=72;T[1033]=73;T[1037]=75;T[1039]=77;T[1035]=79;T[1040]=80;T[1034]=81;T[1045]=82;T[1046]=83;T[1122]=87;T[1123]=88;T[4003]=7470;T[4063]=7494;T[4081]=3677523;k=xi.prototype;
diff --git a/modules/pcjs/lib/keyboard.js b/modules/pcjs/lib/keyboard.js
index ef1225b3af..5621dfe3f2 100644
--- a/modules/pcjs/lib/keyboard.js
+++ b/modules/pcjs/lib/keyboard.js
@@ -551,7 +551,7 @@ Keyboard.aSoftCodes = {
  * @enum {number}
  */
 Keyboard.aKeyCodes = {};
-Keyboard.aKeyCodes[Keyboard.KEYCODE.ESC   + Keyboard.KEYCODE.ONDOWN] =  Keyboard.SCANCODE.ONE;
+Keyboard.aKeyCodes[Keyboard.KEYCODE.ESC   + Keyboard.KEYCODE.ONDOWN] =  Keyboard.SCANCODE.ESC;
 Keyboard.aKeyCodes[Keyboard.ASCII['1']]   = Keyboard.SCANCODE.ONE;
 Keyboard.aKeyCodes[Keyboard.ASCII['!']]   = Keyboard.SCANCODE.ONE    | (Keyboard.SCANCODE.SHIFT << 8);
 Keyboard.aKeyCodes[Keyboard.ASCII['2']]   = Keyboard.SCANCODE.TWO;
diff --git a/versions/pcjs/1.15.9/pc-dbg.js b/versions/pcjs/1.15.9/pc-dbg.js
index f65651d1bb..b27cf88988 100644
--- a/versions/pcjs/1.15.9/pc-dbg.js
+++ b/versions/pcjs/1.15.9/pc-dbg.js
@@ -487,7 +487,7 @@ Ha(function(){for(var a=D(window.document,"pcjs","ram"),b=0;b<a.length;b++){var
 var Q={mp:1,np:26," ":32,"!":33,'"':34,"#":35,$:36,"%":37,"&":38,"'":39,"(":40,")":41,"*":42,"+":43,",":44,"-":45,".":46,"/":47,0:48,1:49,2:50,3:51,4:52,5:53,6:54,7:55,8:56,9:57,":":58,";":59,"<":60,"=":61,">":62,"?":63,"@":64,jp:65,kp:66,Vj:67,im:68,E:69,qp:70,tp:71,Wj:72,wp:73,xp:74,yp:75,zp:76,Ap:77,Uh:78,Cp:79,Dp:80,Fp:81,Yj:82,Jp:83,Tp:84,Xp:85,Yp:86,Zp:87,aq:88,bq:89,cq:90,"[":91,"\\":92,"]":93,"^":94,_:95,"`":96,dq:97,eq:98,gq:99,hq:100,iq:101,jq:102,kq:103,lq:104,mq:105,nq:106,oq:107,pq:108,
 qq:109,rq:110,tq:111,uq:112,vq:113,wq:114,xq:115,yq:116,zq:117,Aq:118,Bq:119,x:120,y:121,z:122,"{":123,"|":124,"}":125,"~":126},Dj={16:2,17:8,18:32,20:256},Ej={tab:1009,esc:1027,"right-shift":3016,shift:1016,ctrl:1017,alt:1018,"caps-lock":1020,f1:1112,f2:1113,f3:1114,f4:1115,f5:1116,f6:1117,f7:1118,f8:1119,f9:1120,f10:1121,left:1037,up:1038,right:1039,down:1040,"ctrl-c":4003,"ctrl-break":4063,"ctrl-alt-del":4081},Fj={esc:1,1:2,2:3,3:4,4:5,5:6,6:7,7:8,8:9,9:10,0:11,"-":12,"=":13,bs:14,tab:15,q:16,
 w:17,e:18,r:19,t:20,y:21,u:22,i:23,o:24,p:25,"[":26,"]":27,enter:28,ctrl:29,a:30,s:31,d:32,f:33,g:34,h:35,j:36,k:37,l:38,";":39,quote:40,"`":41,shift:42,"\\":43,z:44,x:45,c:46,v:47,b:48,n:49,m:50,",":51,".":52,"/":53,"right-shift":54,prtsc:55,alt:56,space:57,"caps-lock":58,f1:59,f2:60,f3:61,f4:62,f5:63,f6:64,f7:65,f8:66,f9:67,f10:68,"num-lock":69,"scroll-lock":70,"num-home":71,"num-up":72,"num-pgup":73,"num-sub":74,"num-left":75,"num-center":76,"num-right":77,"num-add":78,"num-end":79,"num-down":80,
-"num-pgdn":81,"num-ins":82,"num-del":83,sysreq:84,pause:84,f11:87,f12:88,"num-enter":7392,"right-ctrl":7648,"num-div":13792,"num-mul":14304,"right-alt":14560,home:18400,up:18656,pgup:18912,left:19424,right:19936,end:20448,down:20704,pgdn:20960,ins:21216,del:21472,win:23520,"right-win":23776,menu:24032},S={1027:2};S[Q["1"]]=2;S[Q["!"]]=10754;S[Q["2"]]=3;S[Q["@"]]=10755;S[Q["3"]]=4;S[Q["#"]]=10756;S[Q["4"]]=5;S[Q.$]=10757;S[Q["5"]]=6;S[Q["%"]]=10758;S[Q["6"]]=7;S[Q["^"]]=10759;S[Q["7"]]=8;
+"num-pgdn":81,"num-ins":82,"num-del":83,sysreq:84,pause:84,f11:87,f12:88,"num-enter":7392,"right-ctrl":7648,"num-div":13792,"num-mul":14304,"right-alt":14560,home:18400,up:18656,pgup:18912,left:19424,right:19936,end:20448,down:20704,pgdn:20960,ins:21216,del:21472,win:23520,"right-win":23776,menu:24032},S={1027:1};S[Q["1"]]=2;S[Q["!"]]=10754;S[Q["2"]]=3;S[Q["@"]]=10755;S[Q["3"]]=4;S[Q["#"]]=10756;S[Q["4"]]=5;S[Q.$]=10757;S[Q["5"]]=6;S[Q["%"]]=10758;S[Q["6"]]=7;S[Q["^"]]=10759;S[Q["7"]]=8;
 S[Q["&"]]=10760;S[Q["8"]]=9;S[Q["*"]]=10761;S[Q["9"]]=10;S[Q["("]]=10762;S[Q["0"]]=11;S[Q[")"]]=10763;S[Q["-"]]=12;S[Q._]=10764;S[Q["="]]=13;S[Q["+"]]=10765;S[1008]=14;S[1009]=15;S[113]=16;S[81]=10768;S[119]=17;S[87]=10769;S[101]=18;S[69]=10770;S[114]=19;S[82]=10771;S[116]=20;S[84]=10772;S[121]=21;S[89]=10773;S[117]=22;S[85]=10774;S[105]=23;S[73]=10775;S[111]=24;S[79]=10776;S[112]=25;S[80]=10777;S[Q["["]]=26;S[Q["{"]]=10778;S[Q["]"]]=27;S[Q["}"]]=10779;S[13]=28;S[1017]=29;S[97]=30;S[65]=10782;
 S[115]=31;S[83]=10783;S[100]=32;S[68]=10784;S[102]=33;S[70]=10785;S[103]=34;S[71]=10786;S[104]=35;S[72]=10787;S[106]=36;S[74]=10788;S[107]=37;S[75]=10789;S[108]=38;S[76]=10790;S[Q[";"]]=39;S[Q[":"]]=10791;S[Q["'"]]=40;S[Q['"']]=10792;S[Q["`"]]=41;S[Q["~"]]=10793;S[1016]=42;S[Q["\\"]]=43;S[Q["|"]]=10795;S[122]=44;S[90]=10796;S[120]=45;S[88]=10797;S[99]=46;S[67]=10798;S[118]=47;S[86]=10799;S[98]=48;S[66]=10800;S[110]=49;S[78]=10801;S[109]=50;S[77]=10802;S[Q[","]]=51;S[Q["<"]]=10803;S[Q["."]]=52;
 S[Q[">"]]=10804;S[Q["/"]]=53;S[Q["?"]]=10805;S[3016]=54;S[1018]=56;S[Q[" "]]=57;S[1020]=58;S[1112]=59;S[1113]=60;S[1114]=61;S[1115]=62;S[1116]=63;S[1117]=64;S[1118]=65;S[1119]=66;S[1120]=67;S[1121]=68;S[1036]=71;S[1038]=72;S[1033]=73;S[1037]=75;S[1039]=77;S[1035]=79;S[1040]=80;S[1034]=81;S[1045]=82;S[1046]=83;S[1122]=87;S[1123]=88;S[4003]=7470;S[4063]=7494;S[4081]=3677523;k=Cj.prototype;
diff --git a/versions/pcjs/1.15.9/pc.js b/versions/pcjs/1.15.9/pc.js
index d618e43a49..8f7b09baea 100644
--- a/versions/pcjs/1.15.9/pc.js
+++ b/versions/pcjs/1.15.9/pc.js
@@ -469,7 +469,7 @@ u(function(){for(var a=A(window.document,"pcjs","ram"),b=0;b<a.length;b++){var c
 var S={mo:1,no:26," ":32,"!":33,'"':34,"#":35,$:36,"%":37,"&":38,"'":39,"(":40,")":41,"*":42,"+":43,",":44,"-":45,".":46,"/":47,0:48,1:49,2:50,3:51,4:52,5:53,6:54,7:55,8:56,9:57,":":58,";":59,"<":60,"=":61,">":62,"?":63,"@":64,jo:65,ko:66,gj:67,ml:68,E:69,qo:70,to:71,hj:72,vo:73,wo:74,xo:75,yo:76,zo:77,eh:78,Bo:79,Co:80,Eo:81,jj:82,Io:83,So:84,Wo:85,Xo:86,Yo:87,$o:88,ap:89,bp:90,"[":91,"\\":92,"]":93,"^":94,_:95,"`":96,cp:97,ep:98,gp:99,hp:100,ip:101,jp:102,kp:103,lp:104,mp:105,np:106,op:107,pp:108,
 qp:109,sp:110,vp:111,wp:112,xp:113,yp:114,zp:115,Ap:116,Bp:117,Dp:118,Ep:119,x:120,y:121,z:122,"{":123,"|":124,"}":125,"~":126},yi={16:2,17:8,18:32,20:256},zi={tab:1009,esc:1027,"right-shift":3016,shift:1016,ctrl:1017,alt:1018,"caps-lock":1020,f1:1112,f2:1113,f3:1114,f4:1115,f5:1116,f6:1117,f7:1118,f8:1119,f9:1120,f10:1121,left:1037,up:1038,right:1039,down:1040,"ctrl-c":4003,"ctrl-break":4063,"ctrl-alt-del":4081},Ai={esc:1,1:2,2:3,3:4,4:5,5:6,6:7,7:8,8:9,9:10,0:11,"-":12,"=":13,bs:14,tab:15,q:16,
 w:17,e:18,r:19,t:20,y:21,u:22,i:23,o:24,p:25,"[":26,"]":27,enter:28,ctrl:29,a:30,s:31,d:32,f:33,g:34,h:35,j:36,k:37,l:38,";":39,quote:40,"`":41,shift:42,"\\":43,z:44,x:45,c:46,v:47,b:48,n:49,m:50,",":51,".":52,"/":53,"right-shift":54,prtsc:55,alt:56,space:57,"caps-lock":58,f1:59,f2:60,f3:61,f4:62,f5:63,f6:64,f7:65,f8:66,f9:67,f10:68,"num-lock":69,"scroll-lock":70,"num-home":71,"num-up":72,"num-pgup":73,"num-sub":74,"num-left":75,"num-center":76,"num-right":77,"num-add":78,"num-end":79,"num-down":80,
-"num-pgdn":81,"num-ins":82,"num-del":83,sysreq:84,pause:84,f11:87,f12:88,"num-enter":7392,"right-ctrl":7648,"num-div":13792,"num-mul":14304,"right-alt":14560,home:18400,up:18656,pgup:18912,left:19424,right:19936,end:20448,down:20704,pgdn:20960,ins:21216,del:21472,win:23520,"right-win":23776,menu:24032},T={1027:2};T[S["1"]]=2;T[S["!"]]=10754;T[S["2"]]=3;T[S["@"]]=10755;T[S["3"]]=4;T[S["#"]]=10756;T[S["4"]]=5;T[S.$]=10757;T[S["5"]]=6;T[S["%"]]=10758;T[S["6"]]=7;T[S["^"]]=10759;T[S["7"]]=8;
+"num-pgdn":81,"num-ins":82,"num-del":83,sysreq:84,pause:84,f11:87,f12:88,"num-enter":7392,"right-ctrl":7648,"num-div":13792,"num-mul":14304,"right-alt":14560,home:18400,up:18656,pgup:18912,left:19424,right:19936,end:20448,down:20704,pgdn:20960,ins:21216,del:21472,win:23520,"right-win":23776,menu:24032},T={1027:1};T[S["1"]]=2;T[S["!"]]=10754;T[S["2"]]=3;T[S["@"]]=10755;T[S["3"]]=4;T[S["#"]]=10756;T[S["4"]]=5;T[S.$]=10757;T[S["5"]]=6;T[S["%"]]=10758;T[S["6"]]=7;T[S["^"]]=10759;T[S["7"]]=8;
 T[S["&"]]=10760;T[S["8"]]=9;T[S["*"]]=10761;T[S["9"]]=10;T[S["("]]=10762;T[S["0"]]=11;T[S[")"]]=10763;T[S["-"]]=12;T[S._]=10764;T[S["="]]=13;T[S["+"]]=10765;T[1008]=14;T[1009]=15;T[113]=16;T[81]=10768;T[119]=17;T[87]=10769;T[101]=18;T[69]=10770;T[114]=19;T[82]=10771;T[116]=20;T[84]=10772;T[121]=21;T[89]=10773;T[117]=22;T[85]=10774;T[105]=23;T[73]=10775;T[111]=24;T[79]=10776;T[112]=25;T[80]=10777;T[S["["]]=26;T[S["{"]]=10778;T[S["]"]]=27;T[S["}"]]=10779;T[13]=28;T[1017]=29;T[97]=30;T[65]=10782;
 T[115]=31;T[83]=10783;T[100]=32;T[68]=10784;T[102]=33;T[70]=10785;T[103]=34;T[71]=10786;T[104]=35;T[72]=10787;T[106]=36;T[74]=10788;T[107]=37;T[75]=10789;T[108]=38;T[76]=10790;T[S[";"]]=39;T[S[":"]]=10791;T[S["'"]]=40;T[S['"']]=10792;T[S["`"]]=41;T[S["~"]]=10793;T[1016]=42;T[S["\\"]]=43;T[S["|"]]=10795;T[122]=44;T[90]=10796;T[120]=45;T[88]=10797;T[99]=46;T[67]=10798;T[118]=47;T[86]=10799;T[98]=48;T[66]=10800;T[110]=49;T[78]=10801;T[109]=50;T[77]=10802;T[S[","]]=51;T[S["<"]]=10803;T[S["."]]=52;
 T[S[">"]]=10804;T[S["/"]]=53;T[S["?"]]=10805;T[3016]=54;T[1018]=56;T[S[" "]]=57;T[1020]=58;T[1112]=59;T[1113]=60;T[1114]=61;T[1115]=62;T[1116]=63;T[1117]=64;T[1118]=65;T[1119]=66;T[1120]=67;T[1121]=68;T[1036]=71;T[1038]=72;T[1033]=73;T[1037]=75;T[1039]=77;T[1035]=79;T[1040]=80;T[1034]=81;T[1045]=82;T[1046]=83;T[1122]=87;T[1123]=88;T[4003]=7470;T[4063]=7494;T[4081]=3677523;k=xi.prototype;