maxgroup[1] = 4; maxgroup[2] = 4; maxgroup[3] = 2; maxgroup[4] = 6; maxgroup[5] = 6; maxgroup[6] = 6; maxgroup[7] = 6; maxgroup[8] = 90; maxgroup[9] = 88; maxgroup[10] = 90; maxgroup[11] = 90; maxgroup[12] = 88; maxgroup[13] = 88; maxgroup[14] = 88; maxgroup[15] = 88; maxgroup[16] = 88; maxgroup[17] = 88; maxgroup[18] = 88; maxgroup[19] = 88; maxgroup[20] = 88; maxgroup[21] = 88; maxgroup[22] = 88; maxgroup[23] = 88; maxgroup[24] = 88; maxgroup[25] = 88; maxgroup[26] = 88; maxgroup[27] = 88; maxgroup[28] = 88; maxgroup[29] = 88; maxgroup[30] = 88; maxgroup[31] = 88; maxgroup[32] = 88; maxgroup[33] = 88; maxgroup[34] = 88; maxgroup[35] = 72; maxgroup[36] = 70; maxgroup[37] = 70; maxgroup[38] = 70; maxgroup[39] = 70; maxgroup[40] = 8; maxgroup[41] = 8; maxgroup[42] = 8; maxgroup[43] = 8; maxgroup[44] = 8; maxgroup[45] = 8; maxgroup[46] = 8; maxgroup[47] = 8; maxgroup[48] = 8; maxgroup[49] = 8; maxgroup[50] = 96; maxgroup[51] = 96; maxgroup[52] = 96; maxgroup[53] = 96; maxgroup[54] = 96; maxgroup[55] = 96; maxgroup[56] = 96; maxgroup[57] = 96; maxgroup[58] = 94; maxgroup[59] = 94; maxgroup[60] = 94; maxgroup[61] = 94; maxgroup[62] = 94; maxgroup[63] = 94; maxgroup[64] = 94; maxgroup[65] = 94; maxgroup[66] = 94; maxgroup[67] = 94; maxgroup[68] = 94; maxgroup[69] = 94; maxgroup[70] = 94; maxgroup[71] = 94; maxgroup[72] = 94; maxgroup[73] = 94; maxgroup[74] = 94; maxgroup[75] = 94; maxgroup[76] = 94; maxgroup[77] = 94; maxgroup[78] = 94; maxgroup[79] = 94; maxgroup[80] = 94; maxgroup[81] = 94; maxgroup[82] = 94; maxgroup[83] = 94; maxgroup[84] = 94; maxgroup[85] = 94; maxgroup[86] = 94; maxgroup[87] = 94; maxgroup[88] = 94; maxgroup[89] = 94; maxgroup[90] = 94; maxgroup[91] = 94; maxgroup[92] = 94; maxgroup[93] = 94; maxgroup[94] = 94; maxgroup[95] = 94; maxgroup[96] = 94; maxgroup[97] = 94; maxgroup[98] = 94; maxgroup[99] = 94; maxgroup[100] = 94; maxgroup[101] = 94; maxgroup[102] = 94; maxgroup[103] = 94; maxgroup[104] = 94; maxgroup[105] = 94; maxgroup[106] = 94; maxgroup[107] = 94; maxgroup[108] = 94; maxgroup[109] = 94; maxgroup[110] = 94; maxgroup[111] = 94; maxgroup[112] = 94; maxgroup[113] = 94; maxgroup[114] = 94; maxgroup[115] = 94; maxgroup[116] = 94; maxgroup[117] = 94; maxgroup[118] = 94; maxgroup[119] = 94; maxgroup[120] = 94; maxgroup[121] = 94; maxgroup[122] = 94; maxgroup[123] = 94; maxgroup[124] = 94; maxgroup[125] = 94; maxgroup[126] = 94; maxgroup[127] = 94; maxgroup[128] = 94; maxgroup[129] = 94; maxgroup[130] = 94; maxgroup[131] = 94; maxgroup[132] = 94; maxgroup[133] = 94; maxgroup[134] = 94; maxgroup[135] = 17; maxgroup[136] = 17; maxgroup[137] = 17; maxgroup[138] = 17; maxgroup[139] = 17; maxgroup[140] = 17; maxgroup[141] = 17; maxgroup[142] = 17; maxgroup[143] = 15; maxgroup[144] = 15; maxgroup[145] = 15; maxgroup[146] = 15; maxgroup[147] = 15; maxgroup[148] = 15; maxgroup[149] = 15; maxgroup[150] = 15; maxgroup[151] = 15; maxgroup[152] = 15; maxgroup[153] = 15; maxgroup[154] = 15; maxgroup[155] = 15; maxgroup[156] = 15; maxgroup[157] = 15; maxgroup[158] = 15; maxgroup[159] = 82; maxgroup[160] = 82; maxgroup[161] = 82; maxgroup[162] = 82; maxgroup[163] = 82; maxgroup[164] = 82; maxgroup[165] = 82; maxgroup[166] = 82; maxgroup[167] = 82; maxgroup[168] = 82; maxgroup[169] = 82; maxgroup[170] = 82; maxgroup[171] = 82; maxgroup[172] = 82; maxgroup[173] = 82; maxgroup[174] = 82; maxgroup[175] = 82; maxgroup[176] = 82; maxgroup[177] = 82; maxgroup[178] = 82; maxgroup[179] = 82; maxgroup[180] = 82; maxgroup[181] = 82; maxgroup[182] = 82; maxgroup[183] = 82; maxgroup[184] = 82; maxgroup[185] = 82; maxgroup[186] = 82; maxgroup[187] = 82; maxgroup[188] = 82; maxgroup[189] = 82; maxgroup[190] = 82; maxgroup[191] = 82; maxgroup[192] = 82; maxgroup[193] = 82; maxgroup[194] = 82; maxgroup[195] = 82; maxgroup[196] = 82; maxgroup[197] = 82; maxgroup[198] = 82; maxgroup[199] = 82; maxgroup[200] = 82; maxgroup[201] = 82; maxgroup[202] = 82; maxgroup[203] = 82; maxgroup[204] = 82; maxgroup[205] = 82; maxgroup[206] = 82; maxgroup[207] = 82; maxgroup[208] = 80; maxgroup[209] = 80; maxgroup[210] = 80; maxgroup[211] = 80; maxgroup[212] = 75; maxgroup[213] = 75; maxgroup[214] = 75; maxgroup[215] = 75; maxgroup[216] = 75; maxgroup[217] = 73; maxgroup[218] = 73; maxgroup[219] = 73; maxgroup[220] = 73; maxgroup[221] = 4; maxgroup[222] = 2; maxgroup[223] = 99; maxgroup[224] = 99; maxgroup[225] = 99; maxgroup[226] = 99; maxgroup[227] = 99; maxgroup[228] = 99; maxgroup[229] = 99; maxgroup[230] = 99; maxgroup[231] = 99; maxgroup[232] = 53; maxgroup[233] = 53; maxgroup[234] = 51; maxgroup[235] = 51; maxgroup[236] = 51; maxgroup[237] = 99; maxgroup[238] = 99; maxgroup[239] = 99; maxgroup[240] = 99; maxgroup[241] = 99; maxgroup[242] = 99; maxgroup[243] = 99; maxgroup[244] = 99; maxgroup[245] = 99; maxgroup[246] = 99; maxgroup[247] = 99; maxgroup[248] = 99; maxgroup[249] = 99; maxgroup[250] = 99; maxgroup[251] = 99; maxgroup[252] = 99; maxgroup[253] = 99; maxgroup[254] = 99; maxgroup[255] = 99; maxgroup[256] = 99; maxgroup[257] = 99; maxgroup[258] = 99; maxgroup[259] = 99; maxgroup[260] = 99; maxgroup[261] = 99; maxgroup[262] = 99; maxgroup[263] = 99; maxgroup[264] = 99; maxgroup[265] = 99; maxgroup[266] = 99; maxgroup[267] = 99; maxgroup[268] = 11; maxgroup[269] = 11; maxgroup[270] = 11; maxgroup[271] = 11; maxgroup[272] = 11; maxgroup[273] = 11; maxgroup[274] = 11; maxgroup[275] = 11; maxgroup[276] = 11; maxgroup[277] = 11; maxgroup[278] = 11; maxgroup[279] = 11; maxgroup[280] = 11; maxgroup[281] = 11; maxgroup[282] = 11; maxgroup[283] = 11; maxgroup[284] = 11; maxgroup[285] = 11; maxgroup[286] = 11; maxgroup[287] = 11; maxgroup[288] = 11; maxgroup[289] = 11; maxgroup[290] = 11; maxgroup[291] = 11; maxgroup[292] = 11; maxgroup[293] = 11; maxgroup[294] = 11; maxgroup[295] = 11; maxgroup[296] = 11; maxgroup[297] = 8; maxgroup[298] = 8; maxgroup[299] = 8; maxgroup[300] = 8; maxgroup[301] = 8; maxgroup[302] = 8; maxgroup[303] = 31; maxgroup[304] = 31; maxgroup[305] = 29; maxgroup[306] = 29; maxgroup[307] = 29; maxgroup[308] = 29; maxgroup[309] = 29; maxgroup[310] = 29; maxgroup[311] = 29; maxgroup[312] = 29; maxgroup[313] = 29; maxgroup[314] = 29; maxgroup[315] = 29; maxgroup[316] = 29; maxgroup[317] = 29; maxgroup[318] = 6; maxgroup[319] = 4; maxgroup[320] = 4; maxgroup[321] = 4; maxgroup[322] = 4; maxgroup[323] = 4; maxgroup[324] = 4; maxgroup[325] = 4; maxgroup[326] = 4; maxgroup[327] = 4; maxgroup[328] = 4; maxgroup[329] = 4; maxgroup[330] = 4; maxgroup[331] = 4; maxgroup[332] = 4; maxgroup[333] = 4; maxgroup[334] = 4; maxgroup[335] = 4; maxgroup[336] = 4; maxgroup[337] = 4; maxgroup[338] = 4; maxgroup[339] = 4; maxgroup[340] = 4; maxgroup[341] = 4; maxgroup[342] = 4; maxgroup[343] = 4; maxgroup[344] = 4; maxgroup[345] = 4; maxgroup[346] = 4; maxgroup[347] = 4; maxgroup[348] = 4; maxgroup[349] = 4; maxgroup[350] = 4; maxgroup[351] = 4; maxgroup[352] = 4; maxgroup[353] = 4; maxgroup[354] = 4; maxgroup[355] = 4; maxgroup[356] = 4; maxgroup[357] = 4; maxgroup[358] = 4; maxgroup[359] = 4; maxgroup[360] = 4; maxgroup[361] = 4; maxgroup[362] = 33; maxgroup[363] = 33; maxgroup[364] = 33; maxgroup[365] = 33; maxgroup[366] = 33; maxgroup[367] = 33; maxgroup[368] = 33; maxgroup[369] = 31; maxgroup[370] = 31; maxgroup[371] = 31; maxgroup[372] = 31; maxgroup[373] = 31; maxgroup[374] = 31; maxgroup[375] = 31; maxgroup[376] = 31; maxgroup[377] = 31; maxgroup[378] = 31; maxgroup[379] = 31; maxgroup[380] = 31; maxgroup[381] = 31; maxgroup[382] = 31; maxgroup[383] = 31; maxgroup[384] = 31; maxgroup[385] = 31; maxgroup[386] = 31; maxgroup[387] = 27; maxgroup[388] = 27; maxgroup[389] = 27; maxgroup[390] = 27; maxgroup[391] = 27; maxgroup[392] = 27; maxgroup[393] = 27; maxgroup[394] = 27; maxgroup[395] = 25; maxgroup[396] = 25; maxgroup[397] = 25; maxgroup[398] = 25; maxgroup[399] = 25; maxgroup[400] = 65; maxgroup[401] = 65; maxgroup[402] = 65; maxgroup[403] = 65; maxgroup[404] = 65; maxgroup[405] = 65; maxgroup[406] = 63; maxgroup[407] = 63; maxgroup[408] = 99; maxgroup[409] = 99; maxgroup[410] = 99; maxgroup[411] = 99; maxgroup[412] = 99; maxgroup[413] = 99; maxgroup[414] = 99; maxgroup[415] = 99; maxgroup[416] = 59; maxgroup[417] = 59; maxgroup[418] = 59; maxgroup[419] = 59; maxgroup[420] = 59; maxgroup[421] = 59; maxgroup[422] = 59; maxgroup[423] = 59; maxgroup[424] = 57; maxgroup[425] = 99; maxgroup[426] = 99; maxgroup[427] = 97; maxgroup[428] = 97; maxgroup[429] = 99; maxgroup[430] = 99; maxgroup[431] = 99; maxgroup[432] = 99; maxgroup[433] = 99; maxgroup[434] = 99; maxgroup[435] = 99; maxgroup[436] = 99; maxgroup[437] = 99; maxgroup[438] = 99; maxgroup[439] = 99; maxgroup[440] = 21; maxgroup[441] = 21; maxgroup[442] = 21; maxgroup[443] = 21; maxgroup[444] = 21; maxgroup[445] = 21; maxgroup[446] = 21; maxgroup[447] = 19; maxgroup[448] = 19; maxgroup[449] = 99; maxgroup[450] = 99; maxgroup[451] = 99; maxgroup[452] = 99; maxgroup[453] = 99; maxgroup[454] = 99; maxgroup[455] = 99; maxgroup[456] = 99; maxgroup[457] = 99; maxgroup[458] = 99; maxgroup[459] = 99; maxgroup[460] = 99; maxgroup[461] = 99; maxgroup[462] = 99; maxgroup[463] = 99; maxgroup[464] = 99; maxgroup[465] = 99; maxgroup[466] = 99; maxgroup[467] = 99; maxgroup[468] = 47; maxgroup[469] = 47; maxgroup[470] = 47; maxgroup[471] = 47; maxgroup[472] = 47; maxgroup[473] = 47; maxgroup[474] = 47; maxgroup[475] = 47; maxgroup[476] = 47; maxgroup[477] = 47; maxgroup[478] = 37; maxgroup[479] = 35; maxgroup[480] = 35; maxgroup[481] = 35; maxgroup[482] = 35; maxgroup[483] = 35; maxgroup[484] = 35; maxgroup[485] = 35; maxgroup[486] = 23; maxgroup[487] = 23; maxgroup[488] = 23; maxgroup[489] = 23; maxgroup[490] = 23; maxgroup[491] = 23; maxgroup[492] = 23; maxgroup[493] = 23; maxgroup[494] = 23; maxgroup[495] = 23; maxgroup[496] = 23; maxgroup[497] = 23; maxgroup[498] = 23; maxgroup[499] = 21; maxgroup[500] = 21; maxgroup[501] = 31; maxgroup[502] = 31; maxgroup[503] = 39; maxgroup[504] = 37; maxgroup[505] = 51; maxgroup[506] = 49; maxgroup[507] = 49; maxgroup[508] = 49; maxgroup[509] = 25; maxgroup[510] = 25; maxgroup[511] = 25; maxgroup[512] = 25; maxgroup[513] = 25; maxgroup[514] = 25; maxgroup[515] = 25; maxgroup[516] = 43; maxgroup[517] = 41; maxgroup[518] = 73; maxgroup[519] = 73; maxgroup[520] = 51; maxgroup[521] = 99; maxgroup[522] = 99; maxgroup[523] = 99; maxgroup[524] = 99; maxgroup[525] = 99; maxgroup[526] = 99; maxgroup[527] = 99; maxgroup[528] = 99; maxgroup[529] = 99; maxgroup[530] = 99; maxgroup[531] = 59; maxgroup[532] = 59; maxgroup[533] = 59; maxgroup[534] = 57; maxgroup[535] = 57; maxgroup[536] = 57; maxgroup[537] = 57; maxgroup[538] = 57; maxgroup[539] = 57; maxgroup[540] = 71; maxgroup[541] = 71; maxgroup[542] = 69; maxgroup[543] = 69; maxgroup[544] = 69; maxgroup[545] = 99; maxgroup[546] = 99; maxgroup[547] = 99; maxgroup[548] = 99; maxgroup[549] = 99; maxgroup[550] = 99; maxgroup[551] = 99; maxgroup[552] = 99; maxgroup[553] = 99; maxgroup[554] = 99; maxgroup[555] = 99; maxgroup[556] = 99; maxgroup[557] = 99; maxgroup[558] = 99; maxgroup[559] = 99; maxgroup[560] = 99; maxgroup[561] = 99; maxgroup[562] = 99; maxgroup[563] = 99; maxgroup[564] = 99; maxgroup[565] = 99; maxgroup[566] = 99; maxgroup[567] = 99; maxgroup[568] = 99; maxgroup[569] = 99; maxgroup[570] = 99; maxgroup[571] = 99; maxgroup[572] = 99; maxgroup[573] = 99; maxgroup[574] = 45; maxgroup[575] = 99; maxgroup[576] = 99; maxgroup[577] = 41; maxgroup[578] = 41; maxgroup[579] = 41; maxgroup[580] = 37; maxgroup[581] = 99; maxgroup[582] = 99; maxgroup[583] = 99; maxgroup[584] = 99; maxgroup[585] = 99; maxgroup[586] = 57; maxgroup[587] = 97; maxgroup[589] = 99; maxgroup[590] = 99; maxgroup[591] = 99; maxgroup[592] = 99; maxgroup[593] = 99; maxgroup[594] = 99; maxgroup[595] = 99; maxgroup[596] = 80; maxgroup[597] = 80; maxgroup[598] = 80; maxgroup[599] = 80; maxgroup[600] = 99; maxgroup[601] = 99; maxgroup[602] = 57; maxgroup[603] = 57; maxgroup[604] = 57; maxgroup[605] = 57; maxgroup[606] = 57; maxgroup[607] = 57; maxgroup[608] = 57; maxgroup[609] = 55; maxgroup[610] = 55; maxgroup[611] = 55; maxgroup[612] = 55; maxgroup[613] = 55; maxgroup[614] = 55; maxgroup[615] = 55; maxgroup[616] = 55; maxgroup[617] = 55; maxgroup[618] = 55; maxgroup[619] = 55; maxgroup[620] = 55; maxgroup[621] = 55; maxgroup[622] = 55; maxgroup[623] = 55; maxgroup[624] = 55; maxgroup[625] = 55; maxgroup[626] = 55; maxgroup[627] = 2; maxgroup[628] = 2; maxgroup[629] = 2; maxgroup[630] = 2; maxgroup[631] = 2; maxgroup[632] = 2; maxgroup[633] = 2; maxgroup[634] = 2; maxgroup[635] = 2; maxgroup[636] = 2; maxgroup[637] = 2; maxgroup[638] = 2; maxgroup[639] = 2; maxgroup[640] = 2; maxgroup[641] = 2; maxgroup[642] = 2; maxgroup[643] = 2; maxgroup[644] = 2; maxgroup[645] = 98; maxgroup[646] = 88; maxgroup[647] = 86; maxgroup[648] = 40; maxgroup[649] = 40; maxgroup[650] = 40; maxgroup[651] = 40; maxgroup[652] = 38; maxgroup[653] = 38; maxgroup[654] = 22; maxgroup[655] = 22; maxgroup[656] = 22; maxgroup[657] = 22; maxgroup[658] = 22; maxgroup[659] = 12; maxgroup[660] = 12; maxgroup[661] = 12; maxgroup[662] = 12; maxgroup[663] = 10; maxgroup[664] = 10; maxgroup[665] = 10; maxgroup[667] = 30; maxgroup[668] = 30; maxgroup[669] = 28; maxgroup[670] = 28; maxgroup[671] = 28; maxgroup[672] = 28; maxgroup[673] = 28; maxgroup[674] = 28; maxgroup[675] = 28; maxgroup[676] = 10; maxgroup[677] = 10; maxgroup[678] = 10; maxgroup[679] = 9; maxgroup[680] = 76; maxgroup[681] = 10; maxgroup[682] = 9; maxgroup[683] = 9; maxgroup[684] = 9; maxgroup[685] = 9; maxgroup[686] = 9; maxgroup[687] = 9; maxgroup[688] = 9; maxgroup[689] = 9; maxgroup[690] = 9; maxgroup[691] = 3; maxgroup[692] = 3; maxgroup[693] = 3; maxgroup[694] = 3; maxgroup[695] = 3; maxgroup[696] = 3; maxgroup[697] = 3; maxgroup[698] = 3; maxgroup[699] = 3; maxgroup[700] = 18; maxgroup[701] = 18; maxgroup[702] = 18; maxgroup[703] = 18; maxgroup[704] = 18; maxgroup[705] = 18; maxgroup[706] = 18; maxgroup[707] = 18; maxgroup[708] = 18; maxgroup[709] = 18; maxgroup[710] = 18; maxgroup[711] = 18; maxgroup[712] = 18; maxgroup[713] = 18; maxgroup[714] = 18; maxgroup[715] = 18; maxgroup[716] = 18; maxgroup[717] = 18; maxgroup[718] = 18; maxgroup[719] = 18; maxgroup[720] = 18; maxgroup[721] = 18; maxgroup[722] = 18; maxgroup[723] = 18; maxgroup[724] = 28; maxgroup[725] = 18; maxgroup[726] = 18; maxgroup[727] = 10; maxgroup[728] = 14; maxgroup[729] = 7; maxgroup[730] = 7; maxgroup[731] = 5; maxgroup[732] = 5; maxgroup[733] = 5; maxgroup[750] = 5; maxgroup[751] = 3; maxgroup[756] = 1; maxgroup[757] = 1; maxgroup[758] = 1; maxgroup[759] = 1; maxgroup[760] = 1; maxgroup[761] = 1; maxgroup[762] = 1; maxgroup[764] = 64; maxgroup[765] = 62; maxgroup[766] = 48; maxgroup[767] = 48; maxgroup[768] = 48; maxgroup[769] = 48; maxgroup[770] = 48; maxgroup[771] = 48; maxgroup[772] = 48;