//FIXED THIS ERROR: subtractiveNumeralsRange[4][0] = 100; subtractiveNumeralsRange[4][1] = 400; //FAILED NUMERALS: //NONE - ALL PASSES //best // USE THIS BUT BE EXTRMELY CAREFUL TO KEEP checking //XCX IVC CCM (these are supppose to error) - this is working fine..... //They are critical for coding. //Currently up to line 914 // issue currently with order of notations CM XI is valid XI CM (not valid) //but software showing both as ok - NEEDS TO BE FIXED WITH PRIORITY //ISSUE IS ONLY WITH 2 NOTATIONS //logic of programme alsmost complete: // need to add total for all subtractive notations... // then apply other rules for invalid numbers // then the untotal will be all the other characters which have not been processed //best // USE THIS BUT BE EXTRMELY CAREFUL TO KEEP checking //XCX IVC CCM (these are supppose to error) // It also does not get to the above conditions if numeral is longer such as MIVC.. now fixed //They are critical for coding. //NEED TO RE-CHECK LOGIC OF HOW twoSubtractiveNotations IS SET TO true - TOTAL IS DOUBLE (WRONG) //IVCM now fails as expected // added code to support both directions looking in rule 3 // XCX and IVC still ok... but CCM overruns i counter to 5.. bigger than length# // trying something like IVC to reach rule 3 ver2.... it reaches max index // OUTSTANDING. //CMIV - it is doubling value to 1808 instead of 909... // this is issue of CM (i index) IV (j index) comparing to CM (j index) and IV (i index) //Everything else is fixedg /* USEFUL CODE TO TROUBLESHOOT AREAS AND GET INDEXES System.out.println("£££££££££££££££££££££££££££££££££ " + numeralsToString); // System.out.println(numeralsToString.indexOf(subtractiveNumerals[i]+2)); //System.out.prinumeralsToString.indexOf(subtractiveNumerals[j]+2); System.out.println(subtractiveNumeralsRange[i][0]+"-"+subtractiveNumeralsRange[i][1] + " i: " + numeralsToString.indexOf(subtractiveNumerals[i]) + " " + numeralsToString.substring(numeralsToString.indexOf(subtractiveNumerals[i]),numeralsToString.indexOf(subtractiveNumerals[i])+2)); System.out.println(subtractiveNumeralsRange[j][0]+"-"+subtractiveNumeralsRange[j][1] + " j: " + numeralsToString.indexOf(subtractiveNumerals[]) + " " + numeralsToString.substring(numeralsToString.indexOf(subtractiveNumerals[j]),numeralsToString.indexOf(subtractiveNumerals[j])+2)); System.out.println("£££££££££££££££££££££££££££££££££"); */ import java.util.Scanner; import java.util.Arrays; /* Online Java - IDE, Code Editor, Compiler valu`va Online Java is a quick and easy tool that helps you to build, compile, test your programs online. */ // need to address finding match of 4 consecutive numerals // need to address errors on word document // can not handle VII or VIII //switching technique public class Main { public static void main(String[] args) { //These were failing but remediated as part of extensive testing String []failingNumeralToDecimal = new String[] { /*444 Decimal: 444 => */ "CDXLIV", /*449 Decimal: 449 => */"CDXLIX", /*494 Decimal: 494 =>*/ "CDXCIV", /*499 Decimal: 499 => */"CDXCIX", /*944 Decimal: 944 => */"CMXLIV", /*949 Decimal: 949 => */"CMXLIX", /*994 Decimal: 994 => */"CMXCIV", /*999 Decimal: 999 => */"CMXCIX", /*1444 Decimal: 1444 => */"MCDXLIV", /*1449 Decimal: 1449 => */"MCDXLIX", /*1494 Decimal: 1494 => */"MCDXCIV", /*1499 Decimal: 1499 => */"MCDXCIX", /*1944 Decimal: 1944 => */"MCMXLIV", /*1999 Decimal: 1999 => */"MCMXCIX", /*2444 Decimal: 2444 => */"MMCDXLIV", /*2449 Decimal: 2449 => */"MMCDXLIX", /*2494 Decimal: 2494 => */"MMCDXCIV", /*2499 Decimal: 2499 => */"MMCDXCIX", /*2944 Decimal: 2944 => */"MMCMXLIV", /*2949 Decimal: 2949 => */"MMCMXLIX", /*2994 Decimal: 2994 => */"MMCMXCIV", /*2999 Decimal: 2999 => */"MMCMXCIX", /*3444 Decimal: 3444 => */"MMMCDXLIV", /*3449 Decimal: 3449 => */"MMMCDXLIX", /*3494 Decimal: 3494 => */"MMMCDXCIV", /*3499 Decimal: 3499 => */"MMMCDXCIX", /*3944 Decimal: 3944 => */"MMMCMXLIV", /*3949 Decimal: 3949 => */"MMMCMXLIX", /*3999 Decimal: 3999 => */"MMMCMXCIX" }; String [] allNumerals = new String[4000]; //allNumerals[0]="IXCXCCDCCMMCMXXXXXICLM"; //This can be enabled to see outcome invalid numeral //allNumerals[0]="IXCX; //This can be enabled to see outcome invalid numeral# //allNumerals[0]="MMMCCDLXIV"; //This is an example of a number which is incorrect numeral //I have modified a correct numeral MMMCDLXIV (3464) //********************* GRAND TOTAL************* //NOTE: Code is designed for up to MMMM=4000 due to notation changes henceforth //MMMCDLXIV is a VALID roman numeral //runningTotal:404 //Not added total:3060 //**TOTAL: 3464 //********************************** //but it is difficult for the code to verify this.... //since in all the rules that I followed, there is nothing to scan the entire numeral. //And we know that subtractive notation can have lower numeral at front... // And with (C)CD it is not applicable since CD is not a subtractive notation.. //I would need to create a personal rule to check if (index pos < index pos + 1) //in which case it would cause violation.... /* ********************* GRAND TOTAL************* NOTE: Code is designed for up to MMMM=4000 due to notation changes henceforth MMM(C)CDLXIV is a VALID roman numeral runningTotal:404 Not added total:3160 **TOTAL: 3564 *********************************** */ allNumerals[0]="MMMCCDLXIV"; /* allNumerals[0]="I"; allNumerals[1]="II"; allNumerals[2]="III"; allNumerals[3]="IV"; allNumeralsumerals[4]="V"; allNumeralsumerals[5]="VI"; allNumeralsumerals[6]="VII"; allNumeralsumerals[7]="VIII"; allNumeralsumerals[8]="IX"; allNumeralsumerals[9]="X"; allNumeralsumerals[10]="XI"; allNumeralsumerals[11]="XII"; allNumeralsumerals[12]="XIII"; allNumeralsumerals[13]="XIV"; allNumeralsumerals[14]="XV"; allNumeralsumerals[15]="XVI"; allNumeralsumerals[16]="XVII"; allNumeralsumerals[17]="XVIII"; allNumeralsumerals[18]="XIX"; allNumeralsumerals[19]="XX"; allNumeralsumerals[20]="XXI"; allNumeralsumerals[21]="XXII"; allNumeralsumerals[22]="XXIII"; allNumeralsumerals[23]="XXIV"; allNumeralsumerals[24]="XXV"; allNumeralsumerals[25]="XXVI"; allNumeralsumerals[26]="XXVII"; allNumeralsumerals[27]="XXVIII"; allNumeralsumerals[28]="XXIX"; allNumeralsumerals[29]="XXX"; allNumeralsumerals[30]="XXXI"; allNumeralsumerals[31]="XXXII"; allNumeralsumerals[32]="XXXIII"; allNumeralsumerals[33]="XXXIV"; allNumeralsumerals[34]="XXXV"; allNumeralsumerals[35]="XXXVI"; allNumeralsumerals[36]="XXXVII"; allNumeralsumerals[37]="XXXVIII"; allNumeralsumerals[38]="XXXIX"; allNumeralsumerals[39]="XL"; allNumeralsumerals[40]="XLI"; allNumeralsumerals[41]="XLII"; allNumeralsumerals[42]="XLIII"; allNumeralsumerals[43]="XLIV"; allNumeralsumerals[44]="XLV"; allNumeralsumerals[45]="XLVI"; allNumeralsumerals[46]="XLVII"; allNumeralsumerals[47]="XLVIII"; allNumeralsumerals[48]="XLIX"; allNumeralsumerals[49]="L"; allNumeralsumerals[50]="LI"; allNumeralsumerals[51]="LII"; allNumeralsumerals[52]="LIII"; allNumeralsumerals[53]="LIV"; allNumeralsumerals[54]="LV"; allNumeralsumerals[55]="LVI"; allNumeralsumerals[56]="LVII"; allNumeralsumerals[57]="LVIII"; allNumeralsumerals[58]="LIX"; allNumeralsumerals[59]="LX"; allNumeralsumerals[60]="LXI"; allNumeralsumerals[61]="LXII"; allNumeralsumerals[62]="LXIII"; allNumeralsumerals[63]="LXIV"; allNumeralsumerals[64]="LXV"; allNumeralsumerals[65]="LXVI"; allNumeralsumerals[66]="LXVII"; allNumeralsumerals[67]="LXVIII"; allNumeralsumerals[68]="LXIX"; allNumeralsumerals[69]="LXX"; allNumeralsumerals[70]="LXXI"; allNumeralsumerals[71]="LXXII"; allNumeralsumerals[72]="LXXIII"; allNumeralsumerals[73]="LXXIV"; allNumeralsumerals[74]="LXXV"; allNumeralsumerals[75]="LXXVI"; allNumeralsumerals[76]="LXXVII"; allNumeralsumerals[77]="LXXVIII"; allNumeralsumerals[78]="LXXIX"; allNumeralsumerals[79]="LXXX"; allNumeralsumerals[80]="LXXXI"; allNumeralsumerals[81]="LXXXII"; allNumeralsumerals[82]="LXXXIII"; allNumeralsumerals[83]="LXXXIV"; allNumeralsumerals[84]="LXXXV"; allNumeralsumerals[85]="LXXXVI"; allNumeralsumerals[86]="LXXXVII"; allNumeralsumerals[87]="LXXXVIII"; allNumeralsumerals[88]="LXXXIX"; allNumeralsumerals[89]="XC"; allNumeralsumerals[90]="XCI"; allNumeralsumerals[91]="XCII"; allNumeralsumerals[92]="XCIII"; allNumeralsumerals[93]="XCIV"; allNumeralsumerals[94]="XCV"; allNumeralsumerals[95]="XCVI"; allNumeralsumerals[96]="XCVII"; allNumeralsumerals[97]="XCVIII"; allNumeralsumerals[98]="XCIX"; allNumeralsumerals[99]="C"; allNumeralsumerals[100]="CI"; allNumeralsumerals[101]="CII"; allNumeralsumerals[102]="CIII"; allNumeralsumerals[103]="CIV"; allNumeralsumerals[104]="CV"; allNumeralsumerals[105]="CVI"; allNumeralsumerals[106]="CVII"; allNumeralsumerals[107]="CVIII"; allNumeralsumerals[108]="CIX"; allNumeralsumerals[109]="CX"; allNumeralsumerals[110]="CXI"; allNumeralsumerals[111]="CXII"; allNumeralsumerals[112]="CXIII"; allNumeralsumerals[113]="CXIV"; allNumeralsumerals[114]="CXV"; allNumeralsumerals[115]="CXVI"; allNumeralsumerals[116]="CXVII"; allNumeralsumerals[117]="CXVIII"; allNumeralsumerals[118]="CXIX"; allNumeralsumerals[119]="CXX"; allNumeralsumerals[120]="CXXI"; allNumeralsumerals[121]="CXXII"; allNumeralsumerals[122]="CXXIII"; allNumeralsumerals[123]="CXXIV"; allNumeralsumerals[124]="CXXV"; allNumeralsumerals[125]="CXXVI"; allNumeralsumerals[126]="CXXVII"; allNumeralsumerals[127]="CXXVIII"; allNumeralsumerals[128]="CXXIX"; allNumeralsumerals[129]="CXXX"; allNumeralsumerals[130]="CXXXI"; allNumeralsumerals[131]="CXXXII"; allNumeralsumerals[132]="CXXXIII"; allNumeralsumerals[133]="CXXXIV"; allNumeralsumerals[134]="CXXXV"; allNumeralsumerals[135]="CXXXVI"; allNumeralsumerals[136]="CXXXVII"; allNumeralsumerals[137]="CXXXVIII"; allNumeralsumerals[138]="CXXXIX"; allNumeralsumerals[139]="CXL"; allNumeralsumerals[140]="CXLI"; allNumeralsumerals[141]="CXLII"; allNumeralsumerals[142]="CXLIII"; allNumeralsumerals[143]="CXLIV"; allNumeralsumerals[144]="CXLV"; allNumeralsumerals[145]="CXLVI"; allNumeralsumerals[146]="CXLVII"; allNumeralsumerals[147]="CXLVIII"; allNumeralsumerals[148]="CXLIX"; allNumeralsumerals[149]="CL"; allNumeralsumerals[150]="CLI"; allNumeralsumerals[151]="CLII"; allNumeralsumerals[152]="CLIII"; allNumeralsumerals[153]="CLIV"; allNumeralsumerals[154]="CLV"; allNumeralsumerals[155]="CLVI"; allNumeralsumerals[156]="CLVII"; allNumeralsumerals[157]="CLVIII"; allNumeralsumerals[158]="CLIX"; allNumeralsumerals[159]="CLX"; allNumeralsumerals[160]="CLXI"; allNumeralsumerals[161]="CLXII"; allNumeralsumerals[162]="CLXIII"; allNumeralsumerals[163]="CLXIV"; allNumeralsumerals[164]="CLXV"; allNumeralsumerals[165]="CLXVI"; allNumeralsumerals[166]="CLXVII"; allNumeralsumerals[167]="CLXVIII"; allNumeralsumerals[168]="CLXIX"; allNumeralsumerals[169]="CLXX"; allNumeralsumerals[170]="CLXXI"; allNumeralsumerals[171]="CLXXII"; allNumeralsumerals[172]="CLXXIII"; allNumeralsumerals[173]="CLXXIV"; allNumeralsumerals[174]="CLXXV"; allNumeralsumerals[175]="CLXXVI"; allNumeralsumerals[176]="CLXXVII"; allNumeralsumerals[177]="CLXXVIII"; allNumeralsumerals[178]="CLXXIX"; allNumeralsumerals[179]="CLXXX"; allNumeralsumerals[180]="CLXXXI"; allNumeralsumerals[181]="CLXXXII"; allNumeralsumerals[182]="CLXXXIII"; allNumeralsumerals[183]="CLXXXIV"; allNumeralsumerals[184]="CLXXXV"; allNumeralsumerals[185]="CLXXXVI"; allNumeralsumerals[186]="CLXXXVII"; allNumeralsumerals[187]="CLXXXVIII"; allNumeralsumerals[188]="CLXXXIX"; allNumeralsumerals[189]="CXC"; allNumeralsumerals[190]="CXCI"; allNumeralsumerals[191]="CXCII"; allNumeralsumerals[192]="CXCIII"; allNumeralsumerals[193]="CXCIV"; allNumeralsumerals[194]="CXCV"; allNumeralsumerals[195]="CXCVI"; allNumeralsumerals[196]="CXCVII"; allNumeralsumerals[197]="CXCVIII"; allNumeralsumerals[198]="CXCIX"; allNumeralsumerals[199]="CC"; allNumeralsumerals[200]="CCI"; allNumeralsumerals[201]="CCII"; allNumeralsumerals[202]="CCIII"; allNumeralsumerals[203]="CCIV"; allNumeralsumerals[204]="CCV"; allNumeralsumerals[205]="CCVI"; allNumeralsumerals[206]="CCVII"; allNumeralsumerals[207]="CCVIII"; allNumeralsumerals[208]="CCIX"; allNumeralsumerals[209]="CCX"; allNumeralsumerals[210]="CCXI"; allNumeralsumerals[211]="CCXII"; allNumeralsumerals[212]="CCXIII"; allNumeralsumerals[213]="CCXIV"; allNumeralsumerals[214]="CCXV"; allNumeralsumerals[215]="CCXVI"; allNumeralsumerals[216]="CCXVII"; allNumeralsumerals[217]="CCXVIII"; allNumeralsumerals[218]="CCXIX"; allNumeralsumerals[219]="CCXX"; allNumeralsumerals[220]="CCXXI"; allNumeralsumerals[221]="CCXXII"; allNumeralsumerals[222]="CCXXIII"; allNumeralsumerals[223]="CCXXIV"; allNumeralsumerals[224]="CCXXV"; allNumeralsumerals[225]="CCXXVI"; allNumeralsumerals[226]="CCXXVII"; allNumeralsumerals[227]="CCXXVIII"; allNumeralsumerals[228]="CCXXIX"; allNumeralsumerals[229]="CCXXX"; allNumeralsumerals[230]="CCXXXI"; allNumeralsumerals[231]="CCXXXII"; allNumeralsumerals[232]="CCXXXIII"; allNumeralsumerals[233]="CCXXXIV"; allNumeralsumerals[234]="CCXXXV"; allNumeralsumerals[235]="CCXXXVI"; allNumeralsumerals[236]="CCXXXVII"; allNumeralsumerals[237]="CCXXXVIII"; allNumeralsumerals[238]="CCXXXIX"; allNumeralsumerals[239]="CCXL"; allNumeralsumerals[240]="CCXLI"; allNumeralsumerals[241]="CCXLII"; allNumeralsumerals[242]="CCXLIII"; allNumeralsumerals[243]="CCXLIV"; allNumeralsumerals[244]="CCXLV"; allNumeralsumerals[245]="CCXLVI"; allNumeralsumerals[246]="CCXLVII"; allNumeralsumerals[247]="CCXLVIII"; allNumeralsumerals[248]="CCXLIX"; allNumeralsumerals[249]="CCL"; allNumeralsumerals[250]="CCLI"; allNumeralsumerals[251]="CCLII"; allNumeralsumerals[252]="CCLIII"; allNumeralsumerals[253]="CCLIV"; allNumeralsumerals[254]="CCLV"; allNumeralsumerals[255]="CCLVI"; allNumeralsumerals[256]="CCLVII"; allNumeralsumerals[257]="CCLVIII"; allNumeralsumerals[258]="CCLIX"; allNumeralsumerals[259]="CCLX"; allNumeralsumerals[260]="CCLXI"; allNumeralsumerals[261]="CCLXII"; allNumeralsumerals[262]="CCLXIII"; allNumeralsumerals[263]="CCLXIV"; allNumeralsumerals[264]="CCLXV"; allNumeralsumerals[265]="CCLXVI"; allNumeralsumerals[266]="CCLXVII"; allNumeralsumerals[267]="CCLXVIII"; allNumeralsumerals[268]="CCLXIX"; allNumeralsumerals[269]="CCLXX"; allNumeralsumerals[270]="CCLXXI"; allNumeralsumerals[271]="CCLXXII"; allNumeralsumerals[272]="CCLXXIII"; allNumeralsumerals[273]="CCLXXIV"; allNumeralsumerals[274]="CCLXXV"; allNumeralsumerals[275]="CCLXXVI"; allNumeralsumerals[276]="CCLXXVII"; allNumeralsumerals[277]="CCLXXVIII"; allNumeralsumerals[278]="CCLXXIX"; allNumeralsumerals[279]="CCLXXX"; allNumeralsumerals[280]="CCLXXXI"; allNumeralsumerals[281]="CCLXXXII"; allNumeralsumerals[282]="CCLXXXIII"; allNumeralsumerals[283]="CCLXXXIV"; allNumeralsumerals[284]="CCLXXXV"; allNumeralsumerals[285]="CCLXXXVI"; allNumeralsumerals[286]="CCLXXXVII"; allNumeralsumerals[287]="CCLXXXVIII"; allNumeralsumerals[288]="CCLXXXIX"; allNumeralsumerals[289]="CCXC"; allNumeralsumerals[290]="CCXCI"; allNumeralsumerals[291]="CCXCII"; allNumeralsumerals[292]="CCXCIII"; allNumeralsumerals[293]="CCXCIV"; allNumeralsumerals[294]="CCXCV"; allNumeralsumerals[295]="CCXCVI"; allNumeralsumerals[296]="CCXCVII"; allNumeralsumerals[297]="CCXCVIII"; allNumeralsumerals[298]="CCXCIX"; allNumeralsumerals[299]="CCC"; allNumeralsumerals[300]="CCCI"; allNumeralsumerals[301]="CCCII"; allNumeralsumerals[302]="CCCIII"; allNumeralsumerals[303]="CCCIV"; allNumeralsumerals[304]="CCCV"; allNumeralsumerals[305]="CCCVI"; allNumeralsumerals[306]="CCCVII"; allNumeralsumerals[307]="CCCVIII"; allNumeralsumerals[308]="CCCIX"; allNumeralsumerals[309]="CCCX"; allNumeralsumerals[310]="CCCXI"; allNumeralsumerals[311]="CCCXII"; allNumeralsumerals[312]="CCCXIII"; allNumeralsumerals[313]="CCCXIV"; allNumeralsumerals[314]="CCCXV"; allNumeralsumerals[315]="CCCXVI"; allNumeralsumerals[316]="CCCXVII"; allNumeralsumerals[317]="CCCXVIII"; allNumeralsumerals[318]="CCCXIX"; allNumeralsumerals[319]="CCCXX"; allNumeralsumerals[320]="CCCXXI"; allNumeralsumerals[321]="CCCXXII"; allNumeralsumerals[322]="CCCXXIII"; allNumeralsumerals[323]="CCCXXIV"; allNumeralsumerals[324]="CCCXXV"; allNumeralsumerals[325]="CCCXXVI"; allNumeralsumerals[326]="CCCXXVII"; allNumeralsumerals[327]="CCCXXVIII"; allNumeralsumerals[328]="CCCXXIX"; allNumeralsumerals[329]="CCCXXX"; allNumeralsumerals[330]="CCCXXXI"; allNumeralsumerals[331]="CCCXXXII"; allNumeralsumerals[332]="CCCXXXIII"; allNumeralsumerals[333]="CCCXXXIV"; allNumeralsumerals[334]="CCCXXXV"; allNumeralsumerals[335]="CCCXXXVI"; allNumeralsumerals[336]="CCCXXXVII"; allNumeralsumerals[337]="CCCXXXVIII"; allNumeralsumerals[338]="CCCXXXIX"; allNumeralsumerals[339]="CCCXL"; allNumeralsumerals[340]="CCCXLI"; allNumeralsumerals[341]="CCCXLII"; allNumeralsumerals[342]="CCCXLIII"; allNumeralsumerals[343]="CCCXLIV"; allNumeralsumerals[344]="CCCXLV"; allNumeralsumerals[345]="CCCXLVI"; allNumeralsumerals[346]="CCCXLVII"; allNumeralsumerals[347]="CCCXLVIII"; allNumeralsumerals[348]="CCCXLIX"; allNumeralsumerals[349]="CCCL"; allNumeralsumerals[350]="CCCLI"; allNumeralsumerals[351]="CCCLII"; allNumeralsumerals[352]="CCCLIII"; allNumeralsumerals[353]="CCCLIV"; allNumeralsumerals[354]="CCCLV"; allNumeralsumerals[355]="CCCLVI"; allNumeralsumerals[356]="CCCLVII"; allNumeralsumerals[357]="CCCLVIII"; allNumeralsumerals[358]="CCCLIX"; allNumeralsumerals[359]="CCCLX"; allNumeralsumerals[360]="CCCLXI"; allNumeralsumerals[361]="CCCLXII"; allNumeralsumerals[362]="CCCLXIII"; allNumeralsumerals[363]="CCCLXIV"; allNumeralsumerals[364]="CCCLXV"; allNumeralsumerals[365]="CCCLXVI"; allNumeralsumerals[366]="CCCLXVII"; allNumeralsumerals[367]="CCCLXVIII"; allNumeralsumerals[368]="CCCLXIX"; allNumeralsumerals[369]="CCCLXX"; allNumeralsumerals[370]="CCCLXXI"; allNumeralsumerals[371]="CCCLXXII"; allNumeralsumerals[372]="CCCLXXIII"; allNumeralsumerals[373]="CCCLXXIV"; allNumeralsumerals[374]="CCCLXXV"; allNumeralsumerals[375]="CCCLXXVI"; allNumeralsumerals[376]="CCCLXXVII"; allNumeralsumerals[377]="CCCLXXVIII"; allNumeralsumerals[378]="CCCLXXIX"; allNumeralsumerals[379]="CCCLXXX"; allNumeralsumerals[380]="CCCLXXXI"; allNumeralsumerals[381]="CCCLXXXII"; allNumeralsumerals[382]="CCCLXXXIII"; allNumeralsumerals[383]="CCCLXXXIV"; allNumeralsumerals[384]="CCCLXXXV"; allNumeralsumerals[385]="CCCLXXXVI"; allNumeralsumerals[386]="CCCLXXXVII"; allNumeralsumerals[387]="CCCLXXXVIII"; allNumeralsumerals[388]="CCCLXXXIX"; allNumeralsumerals[389]="CCCXC"; allNumeralsumerals[390]="CCCXCI"; allNumeralsumerals[391]="CCCXCII"; allNumeralsumerals[392]="CCCXCIII"; allNumeralsumerals[393]="CCCXCIV"; allNumeralsumerals[394]="CCCXCV"; allNumeralsumerals[395]="CCCXCVI"; allNumeralsumerals[396]="CCCXCVII"; allNumeralsumerals[397]="CCCXCVIII"; allNumeralsumerals[398]="CCCXCIX"; allNumeralsumerals[399]="CD"; allNumeralsumerals[400]="CDI"; allNumeralsumerals[401]="CDII"; allNumeralsumerals[402]="CDIII"; allNumeralsumerals[403]="CDIV"; allNumeralsumerals[404]="CDV"; allNumeralsumerals[405]="CDVI"; allNumeralsumerals[406]="CDVII"; allNumeralsumerals[407]="CDVIII"; allNumeralsumerals[408]="CDIX"; allNumeralsumerals[409]="CDX"; allNumeralsumerals[410]="CDXI"; allNumeralsumerals[411]="CDXII"; allNumeralsumerals[412]="CDXIII"; allNumeralsumerals[413]="CDXIV"; allNumeralsumerals[414]="CDXV"; allNumeralsumerals[415]="CDXVI"; allNumeralsumerals[416]="CDXVII"; allNumeralsumerals[417]="CDXVIII"; allNumeralsumerals[418]="CDXIX"; allNumeralsumerals[419]="CDXX"; allNumeralsumerals[420]="CDXXI"; allNumeralsumerals[421]="CDXXII"; allNumeralsumerals[422]="CDXXIII"; allNumeralsumerals[423]="CDXXIV"; allNumeralsumerals[424]="CDXXV"; allNumeralsumerals[425]="CDXXVI"; allNumeralsumerals[426]="CDXXVII"; allNumeralsumerals[427]="CDXXVIII"; allNumeralsumerals[428]="CDXXIX"; allNumeralsumerals[429]="CDXXX"; allNumeralsumerals[430]="CDXXXI"; allNumeralsumerals[431]="CDXXXII"; allNumeralsumerals[432]="CDXXXIII"; allNumeralsumerals[433]="CDXXXIV"; allNumeralsumerals[434]="CDXXXV"; allNumeralsumerals[435]="CDXXXVI"; allNumeralsumerals[436]="CDXXXVII"; allNumeralsumerals[437]="CDXXXVIII"; allNumeralsumerals[438]="CDXXXIX"; allNumeralsumerals[439]="CDXL"; allNumeralsumerals[440]="CDXLI"; allNumeralsumerals[441]="CDXLII"; allNumeralsumerals[442]="CDXLIII"; allNumeralsumerals[443]="CDXLIV"; allNumeralsumerals[444]="CDXLV"; allNumeralsumerals[445]="CDXLVI"; allNumeralsumerals[446]="CDXLVII"; allNumeralsumerals[447]="CDXLVIII"; allNumeralsumerals[448]="CDXLIX"; allNumeralsumerals[449]="CDL"; allNumeralsumerals[450]="CDLI"; allNumeralsumerals[451]="CDLII"; allNumeralsumerals[452]="CDLIII"; allNumeralsumerals[453]="CDLIV"; allNumeralsumerals[454]="CDLV"; allNumeralsumerals[455]="CDLVI"; allNumeralsumerals[456]="CDLVII"; allNumeralsumerals[457]="CDLVIII"; allNumeralsumerals[458]="CDLIX"; allNumeralsumerals[459]="CDLX"; allNumeralsumerals[460]="CDLXI"; allNumeralsumerals[461]="CDLXII"; allNumeralsumerals[462]="CDLXIII"; allNumeralsumerals[463]="CDLXIV"; allNumeralsumerals[464]="CDLXV"; allNumeralsumerals[465]="CDLXVI"; allNumeralsumerals[466]="CDLXVII"; allNumeralsumerals[467]="CDLXVIII"; allNumeralsumerals[468]="CDLXIX"; allNumeralsumerals[469]="CDLXX"; allNumeralsumerals[470]="CDLXXI"; allNumeralsumerals[471]="CDLXXII"; allNumeralsumerals[472]="CDLXXIII"; allNumeralsumerals[473]="CDLXXIV"; allNumeralsumerals[474]="CDLXXV"; allNumeralsumerals[475]="CDLXXVI"; allNumeralsumerals[476]="CDLXXVII"; allNumeralsumerals[477]="CDLXXVIII"; allNumeralsumerals[478]="CDLXXIX"; allNumeralsumerals[479]="CDLXXX"; allNumeralsumerals[480]="CDLXXXI"; allNumeralsumerals[481]="CDLXXXII"; allNumeralsumerals[482]="CDLXXXIII"; allNumeralsumerals[483]="CDLXXXIV"; allNumeralsumerals[484]="CDLXXXV"; allNumeralsumerals[485]="CDLXXXVI"; allNumeralsumerals[486]="CDLXXXVII"; allNumeralsumerals[487]="CDLXXXVIII"; allNumeralsumerals[488]="CDLXXXIX"; allNumeralsumerals[489]="CDXC"; allNumeralsumerals[490]="CDXCI"; allNumeralsumerals[491]="CDXCII"; allNumeralsumerals[492]="CDXCIII"; allNumeralsumerals[493]="CDXCIV"; allNumeralsumerals[494]="CDXCV"; allNumeralsumerals[495]="CDXCVI"; allNumeralsumerals[496]="CDXCVII"; allNumeralsumerals[497]="CDXCVIII"; allNumeralsumerals[498]="CDXCIX"; allNumeralsumerals[499]="D"; allNumeralsumerals[500]="DI"; allNumeralsumerals[501]="DII"; allNumeralsumerals[502]="DIII"; allNumeralsumerals[503]="DIV"; allNumeralsumerals[504]="DV"; allNumeralsumerals[505]="DVI"; allNumeralsumerals[506]="DVII"; allNumeralsumerals[507]="DVIII"; allNumeralsumerals[508]="DIX"; allNumeralsumerals[509]="DX"; allNumeralsumerals[510]="DXI"; allNumeralsumerals[511]="DXII"; allNumeralsumerals[512]="DXIII"; allNumeralsumerals[513]="DXIV"; allNumeralsumerals[514]="DXV"; allNumeralsumerals[515]="DXVI"; allNumeralsumerals[516]="DXVII"; allNumeralsumerals[517]="DXVIII"; allNumeralsumerals[518]="DXIX"; allNumeralsumerals[519]="DXX"; allNumeralsumerals[520]="DXXI"; allNumeralsumerals[521]="DXXII"; allNumeralsumerals[522]="DXXIII"; allNumeralsumerals[523]="DXXIV"; allNumeralsumerals[524]="DXXV"; allNumeralsumerals[525]="DXXVI"; allNumeralsumerals[526]="DXXVII"; allNumeralsumerals[527]="DXXVIII"; allNumeralsumerals[528]="DXXIX"; allNumeralsumerals[529]="DXXX"; allNumeralsumerals[530]="DXXXI"; allNumeralsumerals[531]="DXXXII"; allNumeralsumerals[532]="DXXXIII"; allNumeralsumerals[533]="DXXXIV"; allNumeralsumerals[534]="DXXXV"; allNumeralsumerals[535]="DXXXVI"; allNumeralsumerals[536]="DXXXVII"; allNumeralsumerals[537]="DXXXVIII"; allNumeralsumerals[538]="DXXXIX"; allNumeralsumerals[539]="DXL"; allNumeralsumerals[540]="DXLI"; allNumeralsumerals[541]="DXLII"; allNumeralsumerals[542]="DXLIII"; allNumeralsumerals[543]="DXLIV"; allNumeralsumerals[544]="DXLV"; allNumeralsumerals[545]="DXLVI"; allNumeralsumerals[546]="DXLVII"; allNumeralsumerals[547]="DXLVIII"; allNumeralsumerals[548]="DXLIX"; allNumeralsumerals[549]="DL"; allNumeralsumerals[550]="DLI"; allNumeralsumerals[551]="DLII"; allNumeralsumerals[552]="DLIII"; allNumeralsumerals[553]="DLIV"; allNumeralsumerals[554]="DLV"; allNumeralsumerals[555]="DLVI"; allNumeralsumerals[556]="DLVII"; allNumeralsumerals[557]="DLVIII"; allNumeralsumerals[558]="DLIX"; allNumeralsumerals[559]="DLX"; allNumeralsumerals[560]="DLXI"; allNumeralsumerals[561]="DLXII"; allNumeralsumerals[562]="DLXIII"; allNumeralsumerals[563]="DLXIV"; allNumeralsumerals[564]="DLXV"; allNumeralsumerals[565]="DLXVI"; allNumeralsumerals[566]="DLXVII"; allNumeralsumerals[567]="DLXVIII"; allNumeralsumerals[568]="DLXIX"; allNumeralsumerals[569]="DLXX"; allNumeralsumerals[570]="DLXXI"; allNumeralsumerals[571]="DLXXII"; allNumeralsumerals[572]="DLXXIII"; allNumeralsumerals[573]="DLXXIV"; allNumeralsumerals[574]="DLXXV"; allNumeralsumerals[575]="DLXXVI"; allNumeralsumerals[576]="DLXXVII"; allNumeralsumerals[577]="DLXXVIII"; allNumeralsumerals[578]="DLXXIX"; allNumeralsumerals[579]="DLXXX"; allNumeralsumerals[580]="DLXXXI"; allNumeralsumerals[581]="DLXXXII"; allNumeralsumerals[582]="DLXXXIII"; allNumeralsumerals[583]="DLXXXIV"; allNumeralsumerals[584]="DLXXXV"; allNumeralsumerals[585]="DLXXXVI"; allNumeralsumerals[586]="DLXXXVII"; allNumeralsumerals[587]="DLXXXVIII"; allNumeralsumerals[588]="DLXXXIX"; allNumeralsumerals[589]="DXC"; allNumeralsumerals[590]="DXCI"; allNumeralsumerals[591]="DXCII"; allNumeralsumerals[592]="DXCIII"; allNumeralsumerals[593]="DXCIV"; allNumeralsumerals[594]="DXCV"; allNumeralsumerals[595]="DXCVI"; allNumeralsumerals[596]="DXCVII"; allNumeralsumerals[597]="DXCVIII"; allNumeralsumerals[598]="DXCIX"; allNumeralsumerals[599]="DC"; allNumeralsumerals[600]="DCI"; allNumeralsumerals[601]="DCII"; allNumeralsumerals[602]="DCIII"; allNumeralsumerals[603]="DCIV"; allNumeralsumerals[604]="DCV"; allNumeralsumerals[605]="DCVI"; allNumeralsumerals[606]="DCVII"; allNumeralsumerals[607]="DCVIII"; allNumeralsumerals[608]="DCIX"; allNumeralsumerals[609]="DCX"; allNumeralsumerals[610]="DCXI"; allNumeralsumerals[611]="DCXII"; allNumeralsumerals[612]="DCXIII"; allNumeralsumerals[613]="DCXIV"; allNumeralsumerals[614]="DCXV"; allNumeralsumerals[615]="DCXVI"; allNumeralsumerals[616]="DCXVII"; allNumeralsumerals[617]="DCXVIII"; allNumeralsumerals[618]="DCXIX"; allNumeralsumerals[619]="DCXX"; allNumeralsumerals[620]="DCXXI"; allNumeralsumerals[621]="DCXXII"; allNumeralsumerals[622]="DCXXIII"; allNumeralsumerals[623]="DCXXIV"; allNumeralsumerals[624]="DCXXV"; allNumeralsumerals[625]="DCXXVI"; allNumeralsumerals[626]="DCXXVII"; allNumeralsumerals[627]="DCXXVIII"; allNumeralsumerals[628]="DCXXIX"; allNumeralsumerals[629]="DCXXX"; allNumeralsumerals[630]="DCXXXI"; allNumeralsumerals[631]="DCXXXII"; allNumeralsumerals[632]="DCXXXIII"; allNumeralsumerals[633]="DCXXXIV"; allNumeralsumerals[634]="DCXXXV"; allNumeralsumerals[635]="DCXXXVI"; allNumeralsumerals[636]="DCXXXVII"; allNumeralsumerals[637]="DCXXXVIII"; allNumeralsumerals[638]="DCXXXIX"; allNumeralsumerals[639]="DCXL"; allNumeralsumerals[640]="DCXLI"; allNumeralsumerals[641]="DCXLII"; allNumeralsumerals[642]="DCXLIII"; allNumeralsumerals[643]="DCXLIV"; allNumeralsumerals[644]="DCXLV"; allNumeralsumerals[645]="DCXLVI"; allNumeralsumerals[646]="DCXLVII"; allNumeralsumerals[647]="DCXLVIII"; allNumeralsumerals[648]="DCXLIX"; allNumeralsumerals[649]="DCL"; allNumeralsumerals[650]="DCLI"; allNumeralsumerals[651]="DCLII"; allNumeralsumerals[652]="DCLIII"; allNumeralsumerals[653]="DCLIV"; allNumeralsumerals[654]="DCLV"; allNumeralsumerals[655]="DCLVI"; allNumeralsumerals[656]="DCLVII"; allNumeralsumerals[657]="DCLVIII"; allNumeralsumerals[658]="DCLIX"; allNumeralsumerals[659]="DCLX"; allNumeralsumerals[660]="DCLXI"; allNumeralsumerals[661]="DCLXII"; allNumeralsumerals[662]="DCLXIII"; allNumeralsumerals[663]="DCLXIV"; allNumeralsumerals[664]="DCLXV"; allNumeralsumerals[665]="DCLXVI"; allNumeralsumerals[666]="DCLXVII"; allNumeralsumerals[667]="DCLXVIII"; allNumeralsumerals[668]="DCLXIX"; allNumeralsumerals[669]="DCLXX"; allNumeralsumerals[670]="DCLXXI"; allNumeralsumerals[671]="DCLXXII"; allNumeralsumerals[672]="DCLXXIII"; allNumeralsumerals[673]="DCLXXIV"; allNumeralsumerals[674]="DCLXXV"; allNumeralsumerals[675]="DCLXXVI"; allNumeralsumerals[676]="DCLXXVII"; allNumeralsumerals[677]="DCLXXVIII"; allNumeralsumerals[678]="DCLXXIX"; allNumeralsumerals[679]="DCLXXX"; allNumeralsumerals[680]="DCLXXXI"; allNumeralsumerals[681]="DCLXXXII"; allNumeralsumerals[682]="DCLXXXIII"; allNumeralsumerals[683]="DCLXXXIV"; allNumeralsumerals[684]="DCLXXXV"; allNumeralsumerals[685]="DCLXXXVI"; allNumeralsumerals[686]="DCLXXXVII"; allNumeralsumerals[687]="DCLXXXVIII"; allNumeralsumerals[688]="DCLXXXIX"; allNumeralsumerals[689]="DCXC"; allNumeralsumerals[690]="DCXCI"; allNumeralsumerals[691]="DCXCII"; allNumeralsumerals[692]="DCXCIII"; allNumeralsumerals[693]="DCXCIV"; allNumeralsumerals[694]="DCXCV"; allNumeralsumerals[695]="DCXCVI"; allNumeralsumerals[696]="DCXCVII"; allNumeralsumerals[697]="DCXCVIII"; allNumeralsumerals[698]="DCXCIX"; allNumeralsumerals[699]="DCC"; allNumeralsumerals[700]="DCCI"; allNumeralsumerals[701]="DCCII"; allNumeralsumerals[702]="DCCIII"; allNumeralsumerals[703]="DCCIV"; allNumeralsumerals[704]="DCCV"; allNumeralsumerals[705]="DCCVI"; allNumeralsumerals[706]="DCCVII"; allNumeralsumerals[707]="DCCVIII"; allNumeralsumerals[708]="DCCIX"; allNumeralsumerals[709]="DCCX"; allNumeralsumerals[710]="DCCXI"; allNumeralsumerals[711]="DCCXII"; allNumeralsumerals[712]="DCCXIII"; allNumeralsumerals[713]="DCCXIV"; allNumeralsumerals[714]="DCCXV"; allNumeralsumerals[715]="DCCXVI"; allNumeralsumerals[716]="DCCXVII"; allNumeralsumerals[717]="DCCXVIII"; allNumeralsumerals[718]="DCCXIX"; allNumeralsumerals[719]="DCCXX"; allNumeralsumerals[720]="DCCXXI"; allNumeralsumerals[721]="DCCXXII"; allNumeralsumerals[722]="DCCXXIII"; allNumeralsumerals[723]="DCCXXIV"; allNumeralsumerals[724]="DCCXXV"; allNumeralsumerals[725]="DCCXXVI"; allNumeralsumerals[726]="DCCXXVII"; allNumeralsumerals[727]="DCCXXVIII"; allNumeralsumerals[728]="DCCXXIX"; allNumeralsumerals[729]="DCCXXX"; allNumeralsumerals[730]="DCCXXXI"; allNumeralsumerals[731]="DCCXXXII"; allNumeralsumerals[732]="DCCXXXIII"; allNumeralsumerals[733]="DCCXXXIV"; allNumeralsumerals[734]="DCCXXXV"; allNumeralsumerals[735]="DCCXXXVI"; allNumeralsumerals[736]="DCCXXXVII"; allNumeralsumerals[737]="DCCXXXVIII"; allNumeralsumerals[738]="DCCXXXIX"; allNumeralsumerals[739]="DCCXL"; allNumeralsumerals[740]="DCCXLI"; allNumeralsumerals[741]="DCCXLII"; allNumeralsumerals[742]="DCCXLIII"; allNumeralsumerals[743]="DCCXLIV"; allNumeralsumerals[744]="DCCXLV"; allNumeralsumerals[745]="DCCXLVI"; allNumeralsumerals[746]="DCCXLVII"; allNumeralsumerals[747]="DCCXLVIII"; allNumeralsumerals[748]="DCCXLIX"; allNumeralsumerals[749]="DCCL"; allNumeralsumerals[750]="DCCLI"; allNumeralsumerals[751]="DCCLII"; allNumeralsumerals[752]="DCCLIII"; allNumeralsumerals[753]="DCCLIV"; allNumeralsumerals[754]="DCCLV"; allNumeralsumerals[755]="DCCLVI"; allNumeralsumerals[756]="DCCLVII"; allNumeralsumerals[757]="DCCLVIII"; allNumeralsumerals[758]="DCCLIX"; allNumeralsumerals[759]="DCCLX"; allNumeralsumerals[760]="DCCLXI"; allNumeralsumerals[761]="DCCLXII"; allNumeralsumerals[762]="DCCLXIII"; allNumeralsumerals[763]="DCCLXIV"; allNumeralsumerals[764]="DCCLXV"; allNumeralsumerals[765]="DCCLXVI"; allNumeralsumerals[766]="DCCLXVII"; allNumeralsumerals[767]="DCCLXVIII"; allNumeralsumerals[768]="DCCLXIX"; allNumeralsumerals[769]="DCCLXX"; allNumeralsumerals[770]="DCCLXXI"; allNumeralsumerals[771]="DCCLXXII"; allNumeralsumerals[772]="DCCLXXIII"; allNumeralsumerals[773]="DCCLXXIV"; allNumeralsumerals[774]="DCCLXXV"; allNumeralsumerals[775]="DCCLXXVI"; allNumeralsumerals[776]="DCCLXXVII"; allNumeralsumerals[777]="DCCLXXVIII"; allNumeralsumerals[778]="DCCLXXIX"; allNumeralsumerals[779]="DCCLXXX"; allNumeralsumerals[780]="DCCLXXXI"; allNumeralsumerals[781]="DCCLXXXII"; allNumeralsumerals[782]="DCCLXXXIII"; allNumeralsumerals[783]="DCCLXXXIV"; allNumeralsumerals[784]="DCCLXXXV"; allNumeralsumerals[785]="DCCLXXXVI"; allNumeralsumerals[786]="DCCLXXXVII"; allNumeralsumerals[787]="DCCLXXXVIII"; allNumeralsumerals[788]="DCCLXXXIX"; allNumeralsumerals[789]="DCCXC"; allNumeralsumerals[790]="DCCXCI"; allNumeralsumerals[791]="DCCXCII"; allNumeralsumerals[792]="DCCXCIII"; allNumeralsumerals[793]="DCCXCIV"; allNumeralsumerals[794]="DCCXCV"; allNumeralsumerals[795]="DCCXCVI"; allNumeralsumerals[796]="DCCXCVII"; allNumeralsumerals[797]="DCCXCVIII"; allNumeralsumerals[798]="DCCXCIX"; allNumeralsumerals[799]="DCCC"; allNumeralsumerals[800]="DCCCI"; allNumeralsumerals[801]="DCCCII"; allNumeralsumerals[802]="DCCCIII"; allNumeralsumerals[803]="DCCCIV"; allNumeralsumerals[804]="DCCCV"; allNumeralsumerals[805]="DCCCVI"; allNumeralsumerals[806]="DCCCVII"; allNumeralsumerals[807]="DCCCVIII"; allNumeralsumerals[808]="DCCCIX"; allNumeralsumerals[809]="DCCCX"; allNumeralsumerals[810]="DCCCXI"; allNumeralsumerals[811]="DCCCXII"; allNumeralsumerals[812]="DCCCXIII"; allNumeralsumerals[813]="DCCCXIV"; allNumeralsumerals[814]="DCCCXV"; allNumeralsumerals[815]="DCCCXVI"; allNumeralsumerals[816]="DCCCXVII"; allNumeralsumerals[817]="DCCCXVIII"; allNumeralsumerals[818]="DCCCXIX"; allNumeralsumerals[819]="DCCCXX"; allNumeralsumerals[820]="DCCCXXI"; allNumeralsumerals[821]="DCCCXXII"; allNumeralsumerals[822]="DCCCXXIII"; allNumeralsumerals[823]="DCCCXXIV"; allNumeralsumerals[824]="DCCCXXV"; allNumeralsumerals[825]="DCCCXXVI"; allNumeralsumerals[826]="DCCCXXVII"; allNumeralsumerals[827]="DCCCXXVIII"; allNumeralsumerals[828]="DCCCXXIX"; allNumeralsumerals[829]="DCCCXXX"; allNumeralsumerals[830]="DCCCXXXI"; allNumeralsumerals[831]="DCCCXXXII"; allNumeralsumerals[832]="DCCCXXXIII"; allNumeralsumerals[833]="DCCCXXXIV"; allNumeralsumerals[834]="DCCCXXXV"; allNumeralsumerals[835]="DCCCXXXVI"; allNumeralsumerals[836]="DCCCXXXVII"; allNumeralsumerals[837]="DCCCXXXVIII"; allNumeralsumerals[838]="DCCCXXXIX"; allNumeralsumerals[839]="DCCCXL"; allNumeralsumerals[840]="DCCCXLI"; allNumeralsumerals[841]="DCCCXLII"; allNumeralsumerals[842]="DCCCXLIII"; allNumeralsumerals[843]="DCCCXLIV"; allNumeralsumerals[844]="DCCCXLV"; allNumeralsumerals[845]="DCCCXLVI"; allNumeralsumerals[846]="DCCCXLVII"; allNumeralsumerals[847]="DCCCXLVIII"; allNumeralsumerals[848]="DCCCXLIX"; allNumeralsumerals[849]="DCCCL"; allNumeralsumerals[850]="DCCCLI"; allNumeralsumerals[851]="DCCCLII"; allNumeralsumerals[852]="DCCCLIII"; allNumeralsumerals[853]="DCCCLIV"; allNumeralsumerals[854]="DCCCLV"; allNumeralsumerals[855]="DCCCLVI"; allNumeralsumerals[856]="DCCCLVII"; allNumeralsumerals[857]="DCCCLVIII"; allNumeralsumerals[858]="DCCCLIX"; allNumeralsumerals[859]="DCCCLX"; allNumeralsumerals[860]="DCCCLXI"; allNumeralsumerals[861]="DCCCLXII"; allNumeralsumerals[862]="DCCCLXIII"; allNumeralsumerals[863]="DCCCLXIV"; allNumeralsumerals[864]="DCCCLXV"; allNumeralsumerals[865]="DCCCLXVI"; allNumeralsumerals[866]="DCCCLXVII"; allNumeralsumerals[867]="DCCCLXVIII"; allNumeralsumerals[868]="DCCCLXIX"; allNumeralsumerals[869]="DCCCLXX"; allNumeralsumerals[870]="DCCCLXXI"; allNumeralsumerals[871]="DCCCLXXII"; allNumeralsumerals[872]="DCCCLXXIII"; allNumeralsumerals[873]="DCCCLXXIV"; allNumeralsumerals[874]="DCCCLXXV"; allNumeralsumerals[875]="DCCCLXXVI"; allNumeralsumerals[876]="DCCCLXXVII"; allNumeralsumerals[877]="DCCCLXXVIII"; allNumeralsumerals[878]="DCCCLXXIX"; allNumeralsumerals[879]="DCCCLXXX"; allNumeralsumerals[880]="DCCCLXXXI"; allNumeralsumerals[881]="DCCCLXXXII"; allNumeralsumerals[882]="DCCCLXXXIII"; allNumeralsumerals[883]="DCCCLXXXIV"; allNumeralsumerals[884]="DCCCLXXXV"; allNumeralsumerals[885]="DCCCLXXXVI"; allNumeralsumerals[886]="DCCCLXXXVII"; allNumeralsumerals[887]="DCCCLXXXVIII"; allNumeralsumerals[888]="DCCCLXXXIX"; allNumeralsumerals[889]="DCCCXC"; allNumeralsumerals[890]="DCCCXCI"; allNumeralsumerals[891]="DCCCXCII"; allNumeralsumerals[892]="DCCCXCIII"; allNumeralsumerals[893]="DCCCXCIV"; allNumeralsumerals[894]="DCCCXCV"; allNumeralsumerals[895]="DCCCXCVI"; allNumeralsumerals[896]="DCCCXCVII"; allNumeralsumerals[897]="DCCCXCVIII"; allNumeralsumerals[898]="DCCCXCIX"; allNumeralsumerals[899]="CM"; allNumeralsumerals[900]="CMI"; allNumeralsumerals[901]="CMII"; allNumeralsumerals[902]="CMIII"; allNumeralsumerals[903]="CMIV"; allNumeralsumerals[904]="CMV"; allNumeralsumerals[905]="CMVI"; allNumeralsumerals[906]="CMVII"; allNumeralsumerals[907]="CMVIII"; allNumeralsumerals[908]="CMIX"; allNumeralsumerals[909]="CMX"; allNumeralsumerals[910]="CMXI"; allNumeralsumerals[911]="CMXII"; allNumeralsumerals[912]="CMXIII"; allNumeralsumerals[913]="CMXIV"; allNumeralsumerals[914]="CMXV"; allNumeralsumerals[915]="CMXVI"; allNumeralsumerals[916]="CMXVII"; allNumeralsumerals[917]="CMXVIII"; allNumeralsumerals[918]="CMXIX"; allNumeralsumerals[919]="CMXX"; allNumeralsumerals[920]="CMXXI"; allNumeralsumerals[921]="CMXXII"; allNumeralsumerals[922]="CMXXIII"; allNumeralsumerals[923]="CMXXIV"; allNumeralsumerals[924]="CMXXV"; allNumeralsumerals[925]="CMXXVI"; allNumeralsumerals[926]="CMXXVII"; allNumeralsumerals[927]="CMXXVIII"; allNumeralsumerals[928]="CMXXIX"; allNumeralsumerals[929]="CMXXX"; allNumeralsumerals[930]="CMXXXI"; allNumeralsumerals[931]="CMXXXII"; allNumeralsumerals[932]="CMXXXIII"; allNumeralsumerals[933]="CMXXXIV"; allNumeralsumerals[934]="CMXXXV"; allNumeralsumerals[935]="CMXXXVI"; allNumeralsumerals[936]="CMXXXVII"; allNumeralsumerals[937]="CMXXXVIII"; allNumeralsumerals[938]="CMXXXIX"; allNumeralsumerals[939]="CMXL"; allNumeralsumerals[940]="CMXLI"; allNumeralsumerals[941]="CMXLII"; allNumeralsumerals[942]="CMXLIII"; allNumeralsumerals[943]="CMXLIV"; allNumeralsumerals[944]="CMXLV"; allNumeralsumerals[945]="CMXLVI"; allNumeralsumerals[946]="CMXLVII"; allNumeralsumerals[947]="CMXLVIII"; allNumeralsumerals[948]="CMXLIX"; allNumeralsumerals[949]="CML"; allNumeralsumerals[950]="CMLI"; allNumeralsumerals[951]="CMLII"; allNumeralsumerals[952]="CMLIII"; allNumeralsumerals[953]="CMLIV"; allNumeralsumerals[954]="CMLV"; allNumeralsumerals[955]="CMLVI"; allNumeralsumerals[956]="CMLVII"; allNumeralsumerals[957]="CMLVIII"; allNumeralsumerals[958]="CMLIX"; allNumeralsumerals[959]="CMLX"; allNumeralsumerals[960]="CMLXI"; allNumeralsumerals[961]="CMLXII"; allNumeralsumerals[962]="CMLXIII"; allNumeralsumerals[963]="CMLXIV"; allNumeralsumerals[964]="CMLXV"; allNumeralsumerals[965]="CMLXVI"; allNumeralsumerals[966]="CMLXVII"; allNumeralsumerals[967]="CMLXVIII"; allNumeralsumerals[968]="CMLXIX"; allNumeralsumerals[969]="CMLXX"; allNumeralsumerals[970]="CMLXXI"; allNumeralsumerals[971]="CMLXXII"; allNumeralsumerals[972]="CMLXXIII"; allNumeralsumerals[973]="CMLXXIV"; allNumeralsumerals[974]="CMLXXV"; allNumeralsumerals[975]="CMLXXVI"; allNumeralsumerals[976]="CMLXXVII"; allNumeralsumerals[977]="CMLXXVIII"; allNumeralsumerals[978]="CMLXXIX"; allNumeralsumerals[979]="CMLXXX"; allNumeralsumerals[980]="CMLXXXI"; allNumeralsumerals[981]="CMLXXXII"; allNumeralsumerals[982]="CMLXXXIII"; allNumeralsumerals[983]="CMLXXXIV"; allNumeralsumerals[984]="CMLXXXV"; allNumeralsumerals[985]="CMLXXXVI"; allNumeralsumerals[986]="CMLXXXVII"; allNumeralsumerals[987]="CMLXXXVIII"; allNumeralsumerals[988]="CMLXXXIX"; allNumeralsumerals[989]="CMXC"; allNumeralsumerals[990]="CMXCI"; allNumeralsumerals[991]="CMXCII"; allNumeralsumerals[992]="CMXCIII"; allNumeralsumerals[993]="CMXCIV"; allNumeralsumerals[994]="CMXCV"; allNumeralsumerals[995]="CMXCVI"; allNumeralsumerals[996]="CMXCVII"; allNumeralsumerals[997]="CMXCVIII"; allNumeralsumerals[998]="CMXCIX"; allNumeralsumerals[999]="M"; allNumeralsumerals[1000]="MI"; allNumeralsumerals[1001]="MII"; allNumeralsumerals[1002]="MIII"; allNumeralsumerals[1003]="MIV"; allNumeralsumerals[1004]="MV"; allNumeralsumerals[1005]="MVI"; allNumeralsumerals[1006]="MVII"; allNumeralsumerals[1007]="MVIII"; allNumeralsumerals[1008]="MIX"; allNumeralsumerals[1009]="MX"; allNumeralsumerals[1010]="MXI"; allNumeralsumerals[1011]="MXII"; allNumeralsumerals[1012]="MXIII"; allNumeralsumerals[1013]="MXIV"; allNumeralsumerals[1014]="MXV"; allNumeralsumerals[1015]="MXVI"; allNumeralsumerals[1016]="MXVII"; allNumeralsumerals[1017]="MXVIII"; allNumeralsumerals[1018]="MXIX"; allNumeralsumerals[1019]="MXX"; allNumeralsumerals[1020]="MXXI"; allNumeralsumerals[1021]="MXXII"; allNumeralsumerals[1022]="MXXIII"; allNumeralsumerals[1023]="MXXIV"; allNumeralsumerals[1024]="MXXV"; allNumeralsumerals[1025]="MXXVI"; allNumeralsumerals[1026]="MXXVII"; allNumeralsumerals[1027]="MXXVIII"; allNumeralsumerals[1028]="MXXIX"; allNumeralsumerals[1029]="MXXX"; allNumeralsumerals[1030]="MXXXI"; allNumeralsumerals[1031]="MXXXII"; allNumeralsumerals[1032]="MXXXIII"; allNumeralsumerals[1033]="MXXXIV"; allNumeralsumerals[1034]="MXXXV"; allNumeralsumerals[1035]="MXXXVI"; allNumeralsumerals[1036]="MXXXVII"; allNumeralsumerals[1037]="MXXXVIII"; allNumeralsumerals[1038]="MXXXIX"; allNumeralsumerals[1039]="MXL"; allNumeralsumerals[1040]="MXLI"; allNumeralsumerals[1041]="MXLII"; allNumeralsumerals[1042]="MXLIII"; allNumeralsumerals[1043]="MXLIV"; allNumeralsumerals[1044]="MXLV"; allNumeralsumerals[1045]="MXLVI"; allNumeralsumerals[1046]="MXLVII"; allNumeralsumerals[1047]="MXLVIII"; allNumeralsumerals[1048]="MXLIX"; allNumeralsumerals[1049]="ML"; allNumeralsumerals[1050]="MLI"; allNumeralsumerals[1051]="MLII"; allNumeralsumerals[1052]="MLIII"; allNumeralsumerals[1053]="MLIV"; allNumeralsumerals[1054]="MLV"; allNumeralsumerals[1055]="MLVI"; allNumeralsumerals[1056]="MLVII"; allNumeralsumerals[1057]="MLVIII"; allNumeralsumerals[1058]="MLIX"; allNumeralsumerals[1059]="MLX"; allNumeralsumerals[1060]="MLXI"; allNumeralsumerals[1061]="MLXII"; allNumeralsumerals[1062]="MLXIII"; allNumeralsumerals[1063]="MLXIV"; allNumeralsumerals[1064]="MLXV"; allNumeralsumerals[1065]="MLXVI"; allNumeralsumerals[1066]="MLXVII"; allNumeralsumerals[1067]="MLXVIII"; allNumeralsumerals[1068]="MLXIX"; allNumeralsumerals[1069]="MLXX"; allNumeralsumerals[1070]="MLXXI"; allNumeralsumerals[1071]="MLXXII"; allNumeralsumerals[1072]="MLXXIII"; allNumeralsumerals[1073]="MLXXIV"; allNumeralsumerals[1074]="MLXXV"; allNumeralsumerals[1075]="MLXXVI"; allNumeralsumerals[1076]="MLXXVII"; allNumeralsumerals[1077]="MLXXVIII"; allNumeralsumerals[1078]="MLXXIX"; allNumeralsumerals[1079]="MLXXX"; allNumeralsumerals[1080]="MLXXXI"; allNumeralsumerals[1081]="MLXXXII"; allNumeralsumerals[1082]="MLXXXIII"; allNumeralsumerals[1083]="MLXXXIV"; allNumeralsumerals[1084]="MLXXXV"; allNumeralsumerals[1085]="MLXXXVI"; allNumeralsumerals[1086]="MLXXXVII"; allNumeralsumerals[1087]="MLXXXVIII"; allNumeralsumerals[1088]="MLXXXIX"; allNumeralsumerals[1089]="MXC"; allNumeralsumerals[1090]="MXCI"; allNumeralsumerals[1091]="MXCII"; allNumeralsumerals[1092]="MXCIII"; allNumeralsumerals[1093]="MXCIV"; allNumeralsumerals[1094]="MXCV"; allNumeralsumerals[1095]="MXCVI"; allNumeralsumerals[1096]="MXCVII"; allNumeralsumerals[1097]="MXCVIII"; allNumeralsumerals[1098]="MXCIX"; allNumeralsumerals[1099]="MC"; allNumeralsumerals[1100]="MCI"; allNumeralsumerals[1101]="MCII"; allNumeralsumerals[1102]="MCIII"; allNumeralsumerals[1103]="MCIV"; allNumeralsumerals[1104]="MCV"; allNumeralsumerals[1105]="MCVI"; allNumeralsumerals[1106]="MCVII"; allNumeralsumerals[1107]="MCVIII"; allNumeralsumerals[1108]="MCIX"; allNumeralsumerals[1109]="MCX"; allNumeralsumerals[1110]="MCXI"; allNumeralsumerals[1111]="MCXII"; allNumeralsumerals[1112]="MCXIII"; allNumeralsumerals[1113]="MCXIV"; allNumeralsumerals[1114]="MCXV"; allNumeralsumerals[1115]="MCXVI"; allNumeralsumerals[1116]="MCXVII"; allNumeralsumerals[1117]="MCXVIII"; allNumeralsumerals[1118]="MCXIX"; allNumeralsumerals[1119]="MCXX"; allNumeralsumerals[1120]="MCXXI"; allNumeralsumerals[1121]="MCXXII"; allNumeralsumerals[1122]="MCXXIII"; allNumeralsumerals[1123]="MCXXIV"; allNumeralsumerals[1124]="MCXXV"; allNumeralsumerals[1125]="MCXXVI"; allNumeralsumerals[1126]="MCXXVII"; allNumeralsumerals[1127]="MCXXVIII"; allNumeralsumerals[1128]="MCXXIX"; allNumeralsumerals[1129]="MCXXX"; allNumeralsumerals[1130]="MCXXXI"; allNumeralsumerals[1131]="MCXXXII"; allNumeralsumerals[1132]="MCXXXIII"; allNumeralsumerals[1133]="MCXXXIV"; allNumeralsumerals[1134]="MCXXXV"; allNumeralsumerals[1135]="MCXXXVI"; allNumeralsumerals[1136]="MCXXXVII"; allNumeralsumerals[1137]="MCXXXVIII"; allNumeralsumerals[1138]="MCXXXIX"; allNumeralsumerals[1139]="MCXL"; allNumeralsumerals[1140]="MCXLI"; allNumeralsumerals[1141]="MCXLII"; allNumeralsumerals[1142]="MCXLIII"; allNumeralsumerals[1143]="MCXLIV"; allNumeralsumerals[1144]="MCXLV"; allNumeralsumerals[1145]="MCXLVI"; allNumeralsumerals[1146]="MCXLVII"; allNumeralsumerals[1147]="MCXLVIII"; allNumeralsumerals[1148]="MCXLIX"; allNumeralsumerals[1149]="MCL"; allNumeralsumerals[1150]="MCLI"; allNumeralsumerals[1151]="MCLII"; allNumeralsumerals[1152]="MCLIII"; allNumeralsumerals[1153]="MCLIV"; allNumeralsumerals[1154]="MCLV"; allNumeralsumerals[1155]="MCLVI"; allNumeralsumerals[1156]="MCLVII"; allNumeralsumerals[1157]="MCLVIII"; allNumeralsumerals[1158]="MCLIX"; allNumeralsumerals[1159]="MCLX"; allNumeralsumerals[1160]="MCLXI"; allNumeralsumerals[1161]="MCLXII"; allNumeralsumerals[1162]="MCLXIII"; allNumeralsumerals[1163]="MCLXIV"; allNumeralsumerals[1164]="MCLXV"; allNumeralsumerals[1165]="MCLXVI"; allNumeralsumerals[1166]="MCLXVII"; allNumeralsumerals[1167]="MCLXVIII"; allNumeralsumerals[1168]="MCLXIX"; allNumeralsumerals[1169]="MCLXX"; allNumeralsumerals[1170]="MCLXXI"; allNumeralsumerals[1171]="MCLXXII"; allNumeralsumerals[1172]="MCLXXIII"; allNumeralsumerals[1173]="MCLXXIV"; allNumeralsumerals[1174]="MCLXXV"; allNumeralsumerals[1175]="MCLXXVI"; allNumeralsumerals[1176]="MCLXXVII"; allNumeralsumerals[1177]="MCLXXVIII"; allNumeralsumerals[1178]="MCLXXIX"; allNumeralsumerals[1179]="MCLXXX"; allNumeralsumerals[1180]="MCLXXXI"; allNumeralsumerals[1181]="MCLXXXII"; allNumeralsumerals[1182]="MCLXXXIII"; allNumeralsumerals[1183]="MCLXXXIV"; allNumeralsumerals[1184]="MCLXXXV"; allNumeralsumerals[1185]="MCLXXXVI"; allNumeralsumerals[1186]="MCLXXXVII"; allNumeralsumerals[1187]="MCLXXXVIII"; allNumeralsumerals[1188]="MCLXXXIX"; allNumeralsumerals[1189]="MCXC"; allNumeralsumerals[1190]="MCXCI"; allNumeralsumerals[1191]="MCXCII"; allNumeralsumerals[1192]="MCXCIII"; allNumeralsumerals[1193]="MCXCIV"; allNumeralsumerals[1194]="MCXCV"; allNumeralsumerals[1195]="MCXCVI"; allNumeralsumerals[1196]="MCXCVII"; allNumeralsumerals[1197]="MCXCVIII"; allNumeralsumerals[1198]="MCXCIX"; allNumeralsumerals[1199]="MCC"; allNumeralsumerals[1200]="MCCI"; allNumeralsumerals[1201]="MCCII"; allNumeralsumerals[1202]="MCCIII"; allNumeralsumerals[1203]="MCCIV"; allNumeralsumerals[1204]="MCCV"; allNumeralsumerals[1205]="MCCVI"; allNumeralsumerals[1206]="MCCVII"; allNumeralsumerals[1207]="MCCVIII"; allNumeralsumerals[1208]="MCCIX"; allNumeralsumerals[1209]="MCCX"; allNumeralsumerals[1210]="MCCXI"; allNumeralsumerals[1211]="MCCXII"; allNumeralsumerals[1212]="MCCXIII"; allNumeralsumerals[1213]="MCCXIV"; allNumeralsumerals[1214]="MCCXV"; allNumeralsumerals[1215]="MCCXVI"; allNumeralsumerals[1216]="MCCXVII"; allNumeralsumerals[1217]="MCCXVIII"; allNumeralsumerals[1218]="MCCXIX"; allNumeralsumerals[1219]="MCCXX"; allNumeralsumerals[1220]="MCCXXI"; allNumeralsumerals[1221]="MCCXXII"; allNumeralsumerals[1222]="MCCXXIII"; allNumeralsumerals[1223]="MCCXXIV"; allNumeralsumerals[1224]="MCCXXV"; allNumeralsumerals[1225]="MCCXXVI"; allNumeralsumerals[1226]="MCCXXVII"; allNumeralsumerals[1227]="MCCXXVIII"; allNumeralsumerals[1228]="MCCXXIX"; allNumeralsumerals[1229]="MCCXXX"; allNumeralsumerals[1230]="MCCXXXI"; allNumeralsumerals[1231]="MCCXXXII"; allNumeralsumerals[1232]="MCCXXXIII"; allNumeralsumerals[1233]="MCCXXXIV"; allNumeralsumerals[1234]="MCCXXXV"; allNumeralsumerals[1235]="MCCXXXVI"; allNumeralsumerals[1236]="MCCXXXVII"; allNumeralsumerals[1237]="MCCXXXVIII"; allNumeralsumerals[1238]="MCCXXXIX"; allNumeralsumerals[1239]="MCCXL"; allNumeralsumerals[1240]="MCCXLI"; allNumeralsumerals[1241]="MCCXLII"; allNumeralsumerals[1242]="MCCXLIII"; allNumeralsumerals[1243]="MCCXLIV"; allNumeralsumerals[1244]="MCCXLV"; allNumeralsumerals[1245]="MCCXLVI"; allNumeralsumerals[1246]="MCCXLVII"; allNumeralsumerals[1247]="MCCXLVIII"; allNumeralsumerals[1248]="MCCXLIX"; allNumeralsumerals[1249]="MCCL"; allNumeralsumerals[1250]="MCCLI"; allNumeralsumerals[1251]="MCCLII"; allNumeralsumerals[1252]="MCCLIII"; allNumeralsumerals[1253]="MCCLIV"; allNumeralsumerals[1254]="MCCLV"; allNumeralsumerals[1255]="MCCLVI"; allNumeralsumerals[1256]="MCCLVII"; allNumeralsumerals[1257]="MCCLVIII"; allNumeralsumerals[1258]="MCCLIX"; allNumeralsumerals[1259]="MCCLX"; allNumeralsumerals[1260]="MCCLXI"; allNumeralsumerals[1261]="MCCLXII"; allNumeralsumerals[1262]="MCCLXIII"; allNumeralsumerals[1263]="MCCLXIV"; allNumeralsumerals[1264]="MCCLXV"; allNumeralsumerals[1265]="MCCLXVI"; allNumeralsumerals[1266]="MCCLXVII"; allNumeralsumerals[1267]="MCCLXVIII"; allNumeralsumerals[1268]="MCCLXIX"; allNumeralsumerals[1269]="MCCLXX"; allNumeralsumerals[1270]="MCCLXXI"; allNumeralsumerals[1271]="MCCLXXII"; allNumeralsumerals[1272]="MCCLXXIII"; allNumeralsumerals[1273]="MCCLXXIV"; allNumeralsumerals[1274]="MCCLXXV"; allNumeralsumerals[1275]="MCCLXXVI"; allNumeralsumerals[1276]="MCCLXXVII"; allNumeralsumerals[1277]="MCCLXXVIII"; allNumeralsumerals[1278]="MCCLXXIX"; allNumeralsumerals[1279]="MCCLXXX"; allNumeralsumerals[1280]="MCCLXXXI"; allNumeralsumerals[1281]="MCCLXXXII"; allNumeralsumerals[1282]="MCCLXXXIII"; allNumeralsumerals[1283]="MCCLXXXIV"; allNumeralsumerals[1284]="MCCLXXXV"; allNumeralsumerals[1285]="MCCLXXXVI"; allNumeralsumerals[1286]="MCCLXXXVII"; allNumeralsumerals[1287]="MCCLXXXVIII"; allNumeralsumerals[1288]="MCCLXXXIX"; allNumeralsumerals[1289]="MCCXC"; allNumeralsumerals[1290]="MCCXCI"; allNumeralsumerals[1291]="MCCXCII"; allNumeralsumerals[1292]="MCCXCIII"; allNumeralsumerals[1293]="MCCXCIV"; allNumeralsumerals[1294]="MCCXCV"; allNumeralsumerals[1295]="MCCXCVI"; allNumeralsumerals[1296]="MCCXCVII"; allNumeralsumerals[1297]="MCCXCVIII"; allNumeralsumerals[1298]="MCCXCIX"; allNumeralsumerals[1299]="MCCC"; allNumeralsumerals[1300]="MCCCI"; allNumeralsumerals[1301]="MCCCII"; allNumeralsumerals[1302]="MCCCIII"; allNumeralsumerals[1303]="MCCCIV"; allNumeralsumerals[1304]="MCCCV"; allNumeralsumerals[1305]="MCCCVI"; allNumeralsumerals[1306]="MCCCVII"; allNumeralsumerals[1307]="MCCCVIII"; allNumeralsumerals[1308]="MCCCIX"; allNumeralsumerals[1309]="MCCCX"; allNumeralsumerals[1310]="MCCCXI"; allNumeralsumerals[1311]="MCCCXII"; allNumeralsumerals[1312]="MCCCXIII"; allNumeralsumerals[1313]="MCCCXIV"; allNumeralsumerals[1314]="MCCCXV"; allNumeralsumerals[1315]="MCCCXVI"; allNumeralsumerals[1316]="MCCCXVII"; allNumeralsumerals[1317]="MCCCXVIII"; allNumeralsumerals[1318]="MCCCXIX"; allNumeralsumerals[1319]="MCCCXX"; allNumeralsumerals[1320]="MCCCXXI"; allNumeralsumerals[1321]="MCCCXXII"; allNumeralsumerals[1322]="MCCCXXIII"; allNumeralsumerals[1323]="MCCCXXIV"; allNumeralsumerals[1324]="MCCCXXV"; allNumeralsumerals[1325]="MCCCXXVI"; allNumeralsumerals[1326]="MCCCXXVII"; allNumeralsumerals[1327]="MCCCXXVIII"; allNumeralsumerals[1328]="MCCCXXIX"; allNumeralsumerals[1329]="MCCCXXX"; allNumeralsumerals[1330]="MCCCXXXI"; allNumeralsumerals[1331]="MCCCXXXII"; allNumeralsumerals[1332]="MCCCXXXIII"; allNumeralsumerals[1333]="MCCCXXXIV"; allNumeralsumerals[1334]="MCCCXXXV"; allNumeralsumerals[1335]="MCCCXXXVI"; allNumeralsumerals[1336]="MCCCXXXVII"; allNumeralsumerals[1337]="MCCCXXXVIII"; allNumeralsumerals[1338]="MCCCXXXIX"; allNumeralsumerals[1339]="MCCCXL"; allNumeralsumerals[1340]="MCCCXLI"; allNumeralsumerals[1341]="MCCCXLII"; allNumeralsumerals[1342]="MCCCXLIII"; allNumeralsumerals[1343]="MCCCXLIV"; allNumeralsumerals[1344]="MCCCXLV"; allNumeralsumerals[1345]="MCCCXLVI"; allNumeralsumerals[1346]="MCCCXLVII"; allNumeralsumerals[1347]="MCCCXLVIII"; allNumeralsumerals[1348]="MCCCXLIX"; allNumeralsumerals[1349]="MCCCL"; allNumeralsumerals[1350]="MCCCLI"; allNumeralsumerals[1351]="MCCCLII"; allNumeralsumerals[1352]="MCCCLIII"; allNumeralsumerals[1353]="MCCCLIV"; allNumeralsumerals[1354]="MCCCLV"; allNumeralsumerals[1355]="MCCCLVI"; allNumeralsumerals[1356]="MCCCLVII"; allNumeralsumerals[1357]="MCCCLVIII"; allNumeralsumerals[1358]="MCCCLIX"; allNumeralsumerals[1359]="MCCCLX"; allNumeralsumerals[1360]="MCCCLXI"; allNumeralsumerals[1361]="MCCCLXII"; allNumeralsumerals[1362]="MCCCLXIII"; allNumeralsumerals[1363]="MCCCLXIV"; allNumeralsumerals[1364]="MCCCLXV"; allNumeralsumerals[1365]="MCCCLXVI"; allNumeralsumerals[1366]="MCCCLXVII"; allNumeralsumerals[1367]="MCCCLXVIII"; allNumeralsumerals[1368]="MCCCLXIX"; allNumeralsumerals[1369]="MCCCLXX"; allNumeralsumerals[1370]="MCCCLXXI"; allNumeralsumerals[1371]="MCCCLXXII"; allNumeralsumerals[1372]="MCCCLXXIII"; allNumeralsumerals[1373]="MCCCLXXIV"; allNumeralsumerals[1374]="MCCCLXXV"; allNumeralsumerals[1375]="MCCCLXXVI"; allNumeralsumerals[1376]="MCCCLXXVII"; allNumeralsumerals[1377]="MCCCLXXVIII"; allNumeralsumerals[1378]="MCCCLXXIX"; allNumeralsumerals[1379]="MCCCLXXX"; allNumeralsumerals[1380]="MCCCLXXXI"; allNumeralsumerals[1381]="MCCCLXXXII"; allNumeralsumerals[1382]="MCCCLXXXIII"; allNumeralsumerals[1383]="MCCCLXXXIV"; allNumeralsumerals[1384]="MCCCLXXXV"; allNumeralsumerals[1385]="MCCCLXXXVI"; allNumeralsumerals[1386]="MCCCLXXXVII"; allNumeralsumerals[1387]="MCCCLXXXVIII"; allNumeralsumerals[1388]="MCCCLXXXIX"; allNumeralsumerals[1389]="MCCCXC"; allNumeralsumerals[1390]="MCCCXCI"; allNumeralsumerals[1391]="MCCCXCII"; allNumeralsumerals[1392]="MCCCXCIII"; allNumeralsumerals[1393]="MCCCXCIV"; allNumeralsumerals[1394]="MCCCXCV"; allNumeralsumerals[1395]="MCCCXCVI"; allNumeralsumerals[1396]="MCCCXCVII"; allNumeralsumerals[1397]="MCCCXCVIII"; allNumeralsumerals[1398]="MCCCXCIX"; allNumeralsumerals[1399]="MCD"; allNumeralsumerals[1400]="MCDI"; allNumeralsumerals[1401]="MCDII"; allNumeralsumerals[1402]="MCDIII"; allNumeralsumerals[1403]="MCDIV"; allNumeralsumerals[1404]="MCDV"; allNumeralsumerals[1405]="MCDVI"; allNumeralsumerals[1406]="MCDVII"; allNumeralsumerals[1407]="MCDVIII"; allNumeralsumerals[1408]="MCDIX"; allNumeralsumerals[1409]="MCDX"; allNumeralsumerals[1410]="MCDXI"; allNumeralsumerals[1411]="MCDXII"; allNumeralsumerals[1412]="MCDXIII"; allNumeralsumerals[1413]="MCDXIV"; allNumeralsumerals[1414]="MCDXV"; allNumeralsumerals[1415]="MCDXVI"; allNumeralsumerals[1416]="MCDXVII"; allNumeralsumerals[1417]="MCDXVIII"; allNumeralsumerals[1418]="MCDXIX"; allNumeralsumerals[1419]="MCDXX"; allNumeralsumerals[1420]="MCDXXI"; allNumeralsumerals[1421]="MCDXXII"; allNumeralsumerals[1422]="MCDXXIII"; allNumeralsumerals[1423]="MCDXXIV"; allNumeralsumerals[1424]="MCDXXV"; allNumeralsumerals[1425]="MCDXXVI"; allNumeralsumerals[1426]="MCDXXVII"; allNumeralsumerals[1427]="MCDXXVIII"; allNumeralsumerals[1428]="MCDXXIX"; allNumeralsumerals[1429]="MCDXXX"; allNumeralsumerals[1430]="MCDXXXI"; allNumeralsumerals[1431]="MCDXXXII"; allNumeralsumerals[1432]="MCDXXXIII"; allNumeralsumerals[1433]="MCDXXXIV"; allNumeralsumerals[1434]="MCDXXXV"; allNumeralsumerals[1435]="MCDXXXVI"; allNumeralsumerals[1436]="MCDXXXVII"; allNumeralsumerals[1437]="MCDXXXVIII"; allNumeralsumerals[1438]="MCDXXXIX"; allNumeralsumerals[1439]="MCDXL"; allNumeralsumerals[1440]="MCDXLI"; allNumeralsumerals[1441]="MCDXLII"; allNumeralsumerals[1442]="MCDXLIII"; allNumeralsumerals[1443]="MCDXLIV"; allNumeralsumerals[1444]="MCDXLV"; allNumeralsumerals[1445]="MCDXLVI"; allNumeralsumerals[1446]="MCDXLVII"; allNumeralsumerals[1447]="MCDXLVIII"; allNumeralsumerals[1448]="MCDXLIX"; allNumeralsumerals[1449]="MCDL"; allNumeralsumerals[1450]="MCDLI"; allNumeralsumerals[1451]="MCDLII"; allNumeralsumerals[1452]="MCDLIII"; allNumeralsumerals[1453]="MCDLIV"; allNumeralsumerals[1454]="MCDLV"; allNumeralsumerals[1455]="MCDLVI"; allNumeralsumerals[1456]="MCDLVII"; allNumeralsumerals[1457]="MCDLVIII"; allNumeralsumerals[1458]="MCDLIX"; allNumeralsumerals[1459]="MCDLX"; allNumeralsumerals[1460]="MCDLXI"; allNumeralsumerals[1461]="MCDLXII"; allNumeralsumerals[1462]="MCDLXIII"; allNumeralsumerals[1463]="MCDLXIV"; allNumeralsumerals[1464]="MCDLXV"; allNumeralsumerals[1465]="MCDLXVI"; allNumeralsumerals[1466]="MCDLXVII"; allNumeralsumerals[1467]="MCDLXVIII"; allNumeralsumerals[1468]="MCDLXIX"; allNumeralsumerals[1469]="MCDLXX"; allNumeralsumerals[1470]="MCDLXXI"; allNumeralsumerals[1471]="MCDLXXII"; allNumeralsumerals[1472]="MCDLXXIII"; allNumeralsumerals[1473]="MCDLXXIV"; allNumeralsumerals[1474]="MCDLXXV"; allNumeralsumerals[1475]="MCDLXXVI"; allNumeralsumerals[1476]="MCDLXXVII"; allNumeralsumerals[1477]="MCDLXXVIII"; allNumeralsumerals[1478]="MCDLXXIX"; allNumeralsumerals[1479]="MCDLXXX"; allNumeralsumerals[1480]="MCDLXXXI"; allNumeralsumerals[1481]="MCDLXXXII"; allNumeralsumerals[1482]="MCDLXXXIII"; allNumeralsumerals[1483]="MCDLXXXIV"; allNumeralsumerals[1484]="MCDLXXXV"; allNumeralsumerals[1485]="MCDLXXXVI"; allNumeralsumerals[1486]="MCDLXXXVII"; allNumeralsumerals[1487]="MCDLXXXVIII"; allNumeralsumerals[1488]="MCDLXXXIX"; allNumeralsumerals[1489]="MCDXC"; allNumeralsumerals[1490]="MCDXCI"; allNumeralsumerals[1491]="MCDXCII"; allNumeralsumerals[1492]="MCDXCIII"; allNumeralsumerals[1493]="MCDXCIV"; allNumeralsumerals[1494]="MCDXCV"; allNumeralsumerals[1495]="MCDXCVI"; allNumeralsumerals[1496]="MCDXCVII"; allNumeralsumerals[1497]="MCDXCVIII"; allNumeralsumerals[1498]="MCDXCIX"; allNumeralsumerals[1499]="MD"; allNumeralsumerals[1500]="MDI"; allNumeralsumerals[1501]="MDII"; allNumeralsumerals[1502]="MDIII"; allNumeralsumerals[1503]="MDIV"; allNumeralsumerals[1504]="MDV"; allNumeralsumerals[1505]="MDVI"; allNumeralsumerals[1506]="MDVII"; allNumeralsumerals[1507]="MDVIII"; allNumeralsumerals[1508]="MDIX"; allNumeralsumerals[1509]="MDX"; allNumeralsumerals[1510]="MDXI"; allNumeralsumerals[1511]="MDXII"; allNumeralsumerals[1512]="MDXIII"; allNumeralsumerals[1513]="MDXIV"; allNumeralsumerals[1514]="MDXV"; allNumeralsumerals[1515]="MDXVI"; allNumeralsumerals[1516]="MDXVII"; allNumeralsumerals[1517]="MDXVIII"; allNumeralsumerals[1518]="MDXIX"; allNumeralsumerals[1519]="MDXX"; allNumeralsumerals[1520]="MDXXI"; allNumeralsumerals[1521]="MDXXII"; allNumeralsumerals[1522]="MDXXIII"; allNumeralsumerals[1523]="MDXXIV"; allNumeralsumerals[1524]="MDXXV"; allNumeralsumerals[1525]="MDXXVI"; allNumeralsumerals[1526]="MDXXVII"; allNumeralsumerals[1527]="MDXXVIII"; allNumeralsumerals[1528]="MDXXIX"; allNumeralsumerals[1529]="MDXXX"; allNumeralsumerals[1530]="MDXXXI"; allNumeralsumerals[1531]="MDXXXII"; allNumeralsumerals[1532]="MDXXXIII"; allNumeralsumerals[1533]="MDXXXIV"; allNumeralsumerals[1534]="MDXXXV"; allNumeralsumerals[1535]="MDXXXVI"; allNumeralsumerals[1536]="MDXXXVII"; allNumeralsumerals[1537]="MDXXXVIII"; allNumeralsumerals[1538]="MDXXXIX"; allNumeralsumerals[1539]="MDXL"; allNumeralsumerals[1540]="MDXLI"; allNumeralsumerals[1541]="MDXLII"; allNumeralsumerals[1542]="MDXLIII"; allNumeralsumerals[1543]="MDXLIV"; allNumeralsumerals[1544]="MDXLV"; allNumeralsumerals[1545]="MDXLVI"; allNumeralsumerals[1546]="MDXLVII"; allNumeralsumerals[1547]="MDXLVIII"; allNumeralsumerals[1548]="MDXLIX"; allNumeralsumerals[1549]="MDL"; allNumeralsumerals[1550]="MDLI"; allNumeralsumerals[1551]="MDLII"; allNumeralsumerals[1552]="MDLIII"; allNumeralsumerals[1553]="MDLIV"; allNumeralsumerals[1554]="MDLV"; allNumeralsumerals[1555]="MDLVI"; allNumeralsumerals[1556]="MDLVII"; allNumeralsumerals[1557]="MDLVIII"; allNumeralsumerals[1558]="MDLIX"; allNumeralsumerals[1559]="MDLX"; allNumeralsumerals[1560]="MDLXI"; allNumeralsumerals[1561]="MDLXII"; allNumeralsumerals[1562]="MDLXIII"; allNumeralsumerals[1563]="MDLXIV"; allNumeralsumerals[1564]="MDLXV"; allNumeralsumerals[1565]="MDLXVI"; allNumeralsumerals[1566]="MDLXVII"; allNumeralsumerals[1567]="MDLXVIII"; allNumeralsumerals[1568]="MDLXIX"; allNumeralsumerals[1569]="MDLXX"; allNumeralsumerals[1570]="MDLXXI"; allNumeralsumerals[1571]="MDLXXII"; allNumeralsumerals[1572]="MDLXXIII"; allNumeralsumerals[1573]="MDLXXIV"; allNumeralsumerals[1574]="MDLXXV"; allNumeralsumerals[1575]="MDLXXVI"; allNumeralsumerals[1576]="MDLXXVII"; allNumeralsumerals[1577]="MDLXXVIII"; allNumeralsumerals[1578]="MDLXXIX"; allNumeralsumerals[1579]="MDLXXX"; allNumeralsumerals[1580]="MDLXXXI"; allNumeralsumerals[1581]="MDLXXXII"; allNumeralsumerals[1582]="MDLXXXIII"; allNumeralsumerals[1583]="MDLXXXIV"; allNumeralsumerals[1584]="MDLXXXV"; allNumeralsumerals[1585]="MDLXXXVI"; allNumeralsumerals[1586]="MDLXXXVII"; allNumeralsumerals[1587]="MDLXXXVIII"; allNumeralsumerals[1588]="MDLXXXIX"; allNumeralsumerals[1589]="MDXC"; allNumeralsumerals[1590]="MDXCI"; allNumeralsumerals[1591]="MDXCII"; allNumeralsumerals[1592]="MDXCIII"; allNumeralsumerals[1593]="MDXCIV"; allNumeralsumerals[1594]="MDXCV"; allNumeralsumerals[1595]="MDXCVI"; allNumeralsumerals[1596]="MDXCVII"; allNumeralsumerals[1597]="MDXCVIII"; allNumeralsumerals[1598]="MDXCIX"; allNumeralsumerals[1599]="MDC"; allNumeralsumerals[1600]="MDCI"; allNumeralsumerals[1601]="MDCII"; allNumeralsumerals[1602]="MDCIII"; allNumeralsumerals[1603]="MDCIV"; allNumeralsumerals[1604]="MDCV"; allNumeralsumerals[1605]="MDCVI"; allNumeralsumerals[1606]="MDCVII"; allNumeralsumerals[1607]="MDCVIII"; allNumeralsumerals[1608]="MDCIX"; allNumeralsumerals[1609]="MDCX"; allNumeralsumerals[1610]="MDCXI"; allNumeralsumerals[1611]="MDCXII"; allNumeralsumerals[1612]="MDCXIII"; allNumeralsumerals[1613]="MDCXIV"; allNumeralsumerals[1614]="MDCXV"; allNumeralsumerals[1615]="MDCXVI"; allNumeralsumerals[1616]="MDCXVII"; allNumeralsumerals[1617]="MDCXVIII"; allNumeralsumerals[1618]="MDCXIX"; allNumeralsumerals[1619]="MDCXX"; allNumeralsumerals[1620]="MDCXXI"; allNumeralsumerals[1621]="MDCXXII"; allNumeralsumerals[1622]="MDCXXIII"; allNumeralsumerals[1623]="MDCXXIV"; allNumeralsumerals[1624]="MDCXXV"; allNumeralsumerals[1625]="MDCXXVI"; allNumeralsumerals[1626]="MDCXXVII"; allNumeralsumerals[1627]="MDCXXVIII"; allNumeralsumerals[1628]="MDCXXIX"; allNumeralsumerals[1629]="MDCXXX"; allNumeralsumerals[1630]="MDCXXXI"; allNumeralsumerals[1631]="MDCXXXII"; allNumeralsumerals[1632]="MDCXXXIII"; allNumeralsumerals[1633]="MDCXXXIV"; allNumeralsumerals[1634]="MDCXXXV"; allNumeralsumerals[1635]="MDCXXXVI"; allNumeralsumerals[1636]="MDCXXXVII"; allNumeralsumerals[1637]="MDCXXXVIII"; allNumeralsumerals[1638]="MDCXXXIX"; allNumeralsumerals[1639]="MDCXL"; allNumeralsumerals[1640]="MDCXLI"; allNumeralsumerals[1641]="MDCXLII"; allNumeralsumerals[1642]="MDCXLIII"; allNumeralsumerals[1643]="MDCXLIV"; allNumeralsumerals[1644]="MDCXLV"; allNumeralsumerals[1645]="MDCXLVI"; allNumeralsumerals[1646]="MDCXLVII"; allNumeralsumerals[1647]="MDCXLVIII"; allNumeralsumerals[1648]="MDCXLIX"; allNumeralsumerals[1649]="MDCL"; allNumeralsumerals[1650]="MDCLI"; allNumeralsumerals[1651]="MDCLII"; allNumeralsumerals[1652]="MDCLIII"; allNumeralsumerals[1653]="MDCLIV"; allNumeralsumerals[1654]="MDCLV"; allNumeralsumerals[1655]="MDCLVI"; allNumeralsumerals[1656]="MDCLVII"; allNumeralsumerals[1657]="MDCLVIII"; allNumeralsumerals[1658]="MDCLIX"; allNumeralsumerals[1659]="MDCLX"; allNumeralsumerals[1660]="MDCLXI"; allNumeralsumerals[1661]="MDCLXII"; allNumeralsumerals[1662]="MDCLXIII"; allNumeralsumerals[1663]="MDCLXIV"; allNumeralsumerals[1664]="MDCLXV"; allNumeralsumerals[1665]="MDCLXVI"; allNumeralsumerals[1666]="MDCLXVII"; allNumeralsumerals[1667]="MDCLXVIII"; allNumeralsumerals[1668]="MDCLXIX"; allNumeralsumerals[1669]="MDCLXX"; allNumeralsumerals[1670]="MDCLXXI"; allNumeralsumerals[1671]="MDCLXXII"; allNumeralsumerals[1672]="MDCLXXIII"; allNumeralsumerals[1673]="MDCLXXIV"; allNumeralsumerals[1674]="MDCLXXV"; allNumeralsumerals[1675]="MDCLXXVI"; allNumeralsumerals[1676]="MDCLXXVII"; allNumeralsumerals[1677]="MDCLXXVIII"; allNumeralsumerals[1678]="MDCLXXIX"; allNumeralsumerals[1679]="MDCLXXX"; allNumeralsumerals[1680]="MDCLXXXI"; allNumeralsumerals[1681]="MDCLXXXII"; allNumeralsumerals[1682]="MDCLXXXIII"; allNumeralsumerals[1683]="MDCLXXXIV"; allNumeralsumerals[1684]="MDCLXXXV"; allNumeralsumerals[1685]="MDCLXXXVI"; allNumeralsumerals[1686]="MDCLXXXVII"; allNumeralsumerals[1687]="MDCLXXXVIII"; allNumeralsumerals[1688]="MDCLXXXIX"; allNumeralsumerals[1689]="MDCXC"; allNumeralsumerals[1690]="MDCXCI"; allNumeralsumerals[1691]="MDCXCII"; allNumeralsumerals[1692]="MDCXCIII"; allNumeralsumerals[1693]="MDCXCIV"; allNumeralsumerals[1694]="MDCXCV"; allNumeralsumerals[1695]="MDCXCVI"; allNumeralsumerals[1696]="MDCXCVII"; allNumeralsumerals[1697]="MDCXCVIII"; allNumeralsumerals[1698]="MDCXCIX"; allNumeralsumerals[1699]="MDCC"; allNumeralsumerals[1700]="MDCCI"; allNumeralsumerals[1701]="MDCCII"; allNumeralsumerals[1702]="MDCCIII"; allNumeralsumerals[1703]="MDCCIV"; allNumeralsumerals[1704]="MDCCV"; allNumeralsumerals[1705]="MDCCVI"; allNumeralsumerals[1706]="MDCCVII"; allNumeralsumerals[1707]="MDCCVIII"; allNumeralsumerals[1708]="MDCCIX"; allNumeralsumerals[1709]="MDCCX"; allNumeralsumerals[1710]="MDCCXI"; allNumeralsumerals[1711]="MDCCXII"; allNumeralsumerals[1712]="MDCCXIII"; allNumeralsumerals[1713]="MDCCXIV"; allNumeralsumerals[1714]="MDCCXV"; allNumeralsumerals[1715]="MDCCXVI"; allNumeralsumerals[1716]="MDCCXVII"; allNumeralsumerals[1717]="MDCCXVIII"; allNumeralsumerals[1718]="MDCCXIX"; allNumeralsumerals[1719]="MDCCXX"; allNumeralsumerals[1720]="MDCCXXI"; allNumeralsumerals[1721]="MDCCXXII"; allNumeralsumerals[1722]="MDCCXXIII"; allNumeralsumerals[1723]="MDCCXXIV"; allNumeralsumerals[1724]="MDCCXXV"; allNumeralsumerals[1725]="MDCCXXVI"; allNumeralsumerals[1726]="MDCCXXVII"; allNumeralsumerals[1727]="MDCCXXVIII"; allNumeralsumerals[1728]="MDCCXXIX"; allNumeralsumerals[1729]="MDCCXXX"; allNumeralsumerals[1730]="MDCCXXXI"; allNumeralsumerals[1731]="MDCCXXXII"; allNumeralsumerals[1732]="MDCCXXXIII"; allNumeralsumerals[1733]="MDCCXXXIV"; allNumeralsumerals[1734]="MDCCXXXV"; allNumeralsumerals[1735]="MDCCXXXVI"; allNumeralsumerals[1736]="MDCCXXXVII"; allNumeralsumerals[1737]="MDCCXXXVIII"; allNumeralsumerals[1738]="MDCCXXXIX"; allNumeralsumerals[1739]="MDCCXL"; allNumeralsumerals[1740]="MDCCXLI"; allNumeralsumerals[1741]="MDCCXLII"; allNumeralsumerals[1742]="MDCCXLIII"; allNumeralsumerals[1743]="MDCCXLIV"; allNumeralsumerals[1744]="MDCCXLV"; allNumeralsumerals[1745]="MDCCXLVI"; allNumeralsumerals[1746]="MDCCXLVII"; allNumeralsumerals[1747]="MDCCXLVIII"; allNumeralsumerals[1748]="MDCCXLIX"; allNumeralsumerals[1749]="MDCCL"; allNumeralsumerals[1750]="MDCCLI"; allNumeralsumerals[1751]="MDCCLII"; allNumeralsumerals[1752]="MDCCLIII"; allNumeralsumerals[1753]="MDCCLIV"; allNumeralsumerals[1754]="MDCCLV"; allNumeralsumerals[1755]="MDCCLVI"; allNumeralsumerals[1756]="MDCCLVII"; allNumeralsumerals[1757]="MDCCLVIII"; allNumeralsumerals[1758]="MDCCLIX"; allNumeralsumerals[1759]="MDCCLX"; allNumeralsumerals[1760]="MDCCLXI"; allNumeralsumerals[1761]="MDCCLXII"; allNumeralsumerals[1762]="MDCCLXIII"; allNumeralsumerals[1763]="MDCCLXIV"; allNumeralsumerals[1764]="MDCCLXV"; allNumeralsumerals[1765]="MDCCLXVI"; allNumeralsumerals[1766]="MDCCLXVII"; allNumeralsumerals[1767]="MDCCLXVIII"; allNumeralsumerals[1768]="MDCCLXIX"; allNumeralsumerals[1769]="MDCCLXX"; allNumeralsumerals[1770]="MDCCLXXI"; allNumeralsumerals[1771]="MDCCLXXII"; allNumeralsumerals[1772]="MDCCLXXIII"; allNumeralsumerals[1773]="MDCCLXXIV"; allNumeralsumerals[1774]="MDCCLXXV"; allNumeralsumerals[1775]="MDCCLXXVI"; allNumeralsumerals[1776]="MDCCLXXVII"; allNumeralsumerals[1777]="MDCCLXXVIII"; allNumeralsumerals[1778]="MDCCLXXIX"; allNumeralsumerals[1779]="MDCCLXXX"; allNumeralsumerals[1780]="MDCCLXXXI"; allNumeralsumerals[1781]="MDCCLXXXII"; allNumeralsumerals[1782]="MDCCLXXXIII"; allNumeralsumerals[1783]="MDCCLXXXIV"; allNumeralsumerals[1784]="MDCCLXXXV"; allNumeralsumerals[1785]="MDCCLXXXVI"; allNumeralsumerals[1786]="MDCCLXXXVII"; allNumeralsumerals[1787]="MDCCLXXXVIII"; allNumeralsumerals[1788]="MDCCLXXXIX"; allNumeralsumerals[1789]="MDCCXC"; allNumeralsumerals[1790]="MDCCXCI"; allNumeralsumerals[1791]="MDCCXCII"; allNumeralsumerals[1792]="MDCCXCIII"; allNumeralsumerals[1793]="MDCCXCIV"; allNumeralsumerals[1794]="MDCCXCV"; allNumeralsumerals[1795]="MDCCXCVI"; allNumeralsumerals[1796]="MDCCXCVII"; allNumeralsumerals[1797]="MDCCXCVIII"; allNumeralsumerals[1798]="MDCCXCIX"; allNumeralsumerals[1799]="MDCCC"; allNumeralsumerals[1800]="MDCCCI"; allNumeralsumerals[1801]="MDCCCII"; allNumeralsumerals[1802]="MDCCCIII"; allNumeralsumerals[1803]="MDCCCIV"; allNumeralsumerals[1804]="MDCCCV"; allNumeralsumerals[1805]="MDCCCVI"; allNumeralsumerals[1806]="MDCCCVII"; allNumeralsumerals[1807]="MDCCCVIII"; allNumeralsumerals[1808]="MDCCCIX"; allNumeralsumerals[1809]="MDCCCX"; allNumeralsumerals[1810]="MDCCCXI"; allNumeralsumerals[1811]="MDCCCXII"; allNumeralsumerals[1812]="MDCCCXIII"; allNumeralsumerals[1813]="MDCCCXIV"; allNumeralsumerals[1814]="MDCCCXV"; allNumeralsumerals[1815]="MDCCCXVI"; allNumeralsumerals[1816]="MDCCCXVII"; allNumeralsumerals[1817]="MDCCCXVIII"; allNumeralsumerals[1818]="MDCCCXIX"; allNumeralsumerals[1819]="MDCCCXX"; allNumeralsumerals[1820]="MDCCCXXI"; allNumeralsumerals[1821]="MDCCCXXII"; allNumeralsumerals[1822]="MDCCCXXIII"; allNumeralsumerals[1823]="MDCCCXXIV"; allNumeralsumerals[1824]="MDCCCXXV"; allNumeralsumerals[1825]="MDCCCXXVI"; allNumeralsumerals[1826]="MDCCCXXVII"; allNumeralsumerals[1827]="MDCCCXXVIII"; allNumeralsumerals[1828]="MDCCCXXIX"; allNumeralsumerals[1829]="MDCCCXXX"; allNumeralsumerals[1830]="MDCCCXXXI"; allNumeralsumerals[1831]="MDCCCXXXII"; allNumeralsumerals[1832]="MDCCCXXXIII"; allNumeralsumerals[1833]="MDCCCXXXIV"; allNumeralsumerals[1834]="MDCCCXXXV"; allNumeralsumerals[1835]="MDCCCXXXVI"; allNumeralsumerals[1836]="MDCCCXXXVII"; allNumeralsumerals[1837]="MDCCCXXXVIII"; allNumeralsumerals[1838]="MDCCCXXXIX"; allNumeralsumerals[1839]="MDCCCXL"; allNumeralsumerals[1840]="MDCCCXLI"; allNumeralsumerals[1841]="MDCCCXLII"; allNumeralsumerals[1842]="MDCCCXLIII"; allNumeralsumerals[1843]="MDCCCXLIV"; allNumeralsumerals[1844]="MDCCCXLV"; allNumeralsumerals[1845]="MDCCCXLVI"; allNumeralsumerals[1846]="MDCCCXLVII"; allNumeralsumerals[1847]="MDCCCXLVIII"; allNumeralsumerals[1848]="MDCCCXLIX"; allNumeralsumerals[1849]="MDCCCL"; allNumeralsumerals[1850]="MDCCCLI"; allNumeralsumerals[1851]="MDCCCLII"; allNumeralsumerals[1852]="MDCCCLIII"; allNumeralsumerals[1853]="MDCCCLIV"; allNumeralsumerals[1854]="MDCCCLV"; allNumeralsumerals[1855]="MDCCCLVI"; allNumeralsumerals[1856]="MDCCCLVII"; allNumeralsumerals[1857]="MDCCCLVIII"; allNumeralsumerals[1858]="MDCCCLIX"; allNumeralsumerals[1859]="MDCCCLX"; allNumeralsumerals[1860]="MDCCCLXI"; allNumeralsumerals[1861]="MDCCCLXII"; allNumeralsumerals[1862]="MDCCCLXIII"; allNumeralsumerals[1863]="MDCCCLXIV"; allNumeralsumerals[1864]="MDCCCLXV"; allNumeralsumerals[1865]="MDCCCLXVI"; allNumeralsumerals[1866]="MDCCCLXVII"; allNumeralsumerals[1867]="MDCCCLXVIII"; allNumeralsumerals[1868]="MDCCCLXIX"; allNumeralsumerals[1869]="MDCCCLXX"; allNumeralsumerals[1870]="MDCCCLXXI"; allNumeralsumerals[1871]="MDCCCLXXII"; allNumeralsumerals[1872]="MDCCCLXXIII"; allNumeralsumerals[1873]="MDCCCLXXIV"; allNumeralsumerals[1874]="MDCCCLXXV"; allNumeralsumerals[1875]="MDCCCLXXVI"; allNumeralsumerals[1876]="MDCCCLXXVII"; allNumeralsumerals[1877]="MDCCCLXXVIII"; allNumeralsumerals[1878]="MDCCCLXXIX"; allNumeralsumerals[1879]="MDCCCLXXX"; allNumeralsumerals[1880]="MDCCCLXXXI"; allNumeralsumerals[1881]="MDCCCLXXXII"; allNumeralsumerals[1882]="MDCCCLXXXIII"; allNumeralsumerals[1883]="MDCCCLXXXIV"; allNumeralsumerals[1884]="MDCCCLXXXV"; allNumeralsumerals[1885]="MDCCCLXXXVI"; allNumeralsumerals[1886]="MDCCCLXXXVII"; allNumeralsumerals[1887]="MDCCCLXXXVIII"; allNumeralsumerals[1888]="MDCCCLXXXIX"; allNumeralsumerals[1889]="MDCCCXC"; allNumeralsumerals[1890]="MDCCCXCI"; allNumeralsumerals[1891]="MDCCCXCII"; allNumeralsumerals[1892]="MDCCCXCIII"; allNumeralsumerals[1893]="MDCCCXCIV"; allNumeralsumerals[1894]="MDCCCXCV"; allNumeralsumerals[1895]="MDCCCXCVI"; allNumeralsumerals[1896]="MDCCCXCVII"; allNumeralsumerals[1897]="MDCCCXCVIII"; allNumeralsumerals[1898]="MDCCCXCIX"; allNumeralsumerals[1899]="MCM"; allNumeralsumerals[1900]="MCMI"; allNumeralsumerals[1901]="MCMII"; allNumeralsumerals[1902]="MCMIII"; allNumeralsumerals[1903]="MCMIV"; allNumeralsumerals[1904]="MCMV"; allNumeralsumerals[1905]="MCMVI"; allNumeralsumerals[1906]="MCMVII"; allNumeralsumerals[1907]="MCMVIII"; allNumeralsumerals[1908]="MCMIX"; allNumeralsumerals[1909]="MCMX"; allNumeralsumerals[1910]="MCMXI"; allNumeralsumerals[1911]="MCMXII"; allNumeralsumerals[1912]="MCMXIII"; allNumeralsumerals[1913]="MCMXIV"; allNumeralsumerals[1914]="MCMXV"; allNumeralsumerals[1915]="MCMXVI"; allNumeralsumerals[1916]="MCMXVII"; allNumeralsumerals[1917]="MCMXVIII"; allNumeralsumerals[1918]="MCMXIX"; allNumeralsumerals[1919]="MCMXX"; allNumeralsumerals[1920]="MCMXXI"; allNumeralsumerals[1921]="MCMXXII"; allNumeralsumerals[1922]="MCMXXIII"; allNumeralsumerals[1923]="MCMXXIV"; allNumeralsumerals[1924]="MCMXXV"; allNumeralsumerals[1925]="MCMXXVI"; allNumeralsumerals[1926]="MCMXXVII"; allNumeralsumerals[1927]="MCMXXVIII"; allNumeralsumerals[1928]="MCMXXIX"; allNumeralsumerals[1929]="MCMXXX"; allNumeralsumerals[1930]="MCMXXXI"; allNumeralsumerals[1931]="MCMXXXII"; allNumeralsumerals[1932]="MCMXXXIII"; allNumeralsumerals[1933]="MCMXXXIV"; allNumeralsumerals[1934]="MCMXXXV"; allNumeralsumerals[1935]="MCMXXXVI"; allNumeralsumerals[1936]="MCMXXXVII"; allNumeralsumerals[1937]="MCMXXXVIII"; allNumeralsumerals[1938]="MCMXXXIX"; allNumeralsumerals[1939]="MCMXL"; allNumeralsumerals[1940]="MCMXLI"; allNumeralsumerals[1941]="MCMXLII"; allNumeralsumerals[1942]="MCMXLIII"; allNumeralsumerals[1943]="MCMXLIV"; allNumeralsumerals[1944]="MCMXLV"; allNumeralsumerals[1945]="MCMXLVI"; allNumeralsumerals[1946]="MCMXLVII"; allNumeralsumerals[1947]="MCMXLVIII"; allNumeralsumerals[1948]="MCMXLIX"; allNumeralsumerals[1949]="MCML"; allNumeralsumerals[1950]="MCMLI"; allNumeralsumerals[1951]="MCMLII"; allNumeralsumerals[1952]="MCMLIII"; allNumeralsumerals[1953]="MCMLIV"; allNumeralsumerals[1954]="MCMLV"; allNumeralsumerals[1955]="MCMLVI"; allNumeralsumerals[1956]="MCMLVII"; allNumeralsumerals[1957]="MCMLVIII"; allNumeralsumerals[1958]="MCMLIX"; allNumeralsumerals[1959]="MCMLX"; allNumeralsumerals[1960]="MCMLXI"; allNumeralsumerals[1961]="MCMLXII"; allNumeralsumerals[1962]="MCMLXIII"; allNumeralsumerals[1963]="MCMLXIV"; allNumeralsumerals[1964]="MCMLXV"; allNumeralsumerals[1965]="MCMLXVI"; allNumeralsumerals[1966]="MCMLXVII"; allNumeralsumerals[1967]="MCMLXVIII"; allNumeralsumerals[1968]="MCMLXIX"; allNumeralsumerals[1969]="MCMLXX"; allNumeralsumerals[1970]="MCMLXXI"; allNumeralsumerals[1971]="MCMLXXII"; allNumeralsumerals[1972]="MCMLXXIII"; allNumeralsumerals[1973]="MCMLXXIV"; allNumeralsumerals[1974]="MCMLXXV"; allNumeralsumerals[1975]="MCMLXXVI"; allNumeralsumerals[1976]="MCMLXXVII"; allNumeralsumerals[1977]="MCMLXXVIII"; allNumeralsumerals[1978]="MCMLXXIX"; allNumeralsumerals[1979]="MCMLXXX"; allNumeralsumerals[1980]="MCMLXXXI"; allNumeralsumerals[1981]="MCMLXXXII"; allNumeralsumerals[1982]="MCMLXXXIII"; allNumeralsumerals[1983]="MCMLXXXIV"; allNumeralsumerals[1984]="MCMLXXXV"; allNumeralsumerals[1985]="MCMLXXXVI"; allNumeralsumerals[1986]="MCMLXXXVII"; allNumeralsumerals[1987]="MCMLXXXVIII"; allNumeralsumerals[1988]="MCMLXXXIX"; allNumeralsumerals[1989]="MCMXC"; allNumeralsumerals[1990]="MCMXCI"; allNumeralsumerals[1991]="MCMXCII"; allNumeralsumerals[1992]="MCMXCIII"; allNumeralsumerals[1993]="MCMXCIV"; allNumeralsumerals[1994]="MCMXCV"; allNumeralsumerals[1995]="MCMXCVI"; allNumeralsumerals[1996]="MCMXCVII"; allNumeralsumerals[1997]="MCMXCVIII"; allNumeralsumerals[1998]="MCMXCIX"; allNumeralsumerals[1999]="MM"; allNumeralsumerals[2000]="MMI"; allNumeralsumerals[2001]="MMII"; allNumeralsumerals[2002]="MMIII"; allNumeralsumerals[2003]="MMIV"; allNumeralsumerals[2004]="MMV"; allNumeralsumerals[2005]="MMVI"; allNumeralsumerals[2006]="MMVII"; allNumeralsumerals[2007]="MMVIII"; allNumeralsumerals[2008]="MMIX"; allNumeralsumerals[2009]="MMX"; allNumeralsumerals[2010]="MMXI"; allNumeralsumerals[2011]="MMXII"; allNumeralsumerals[2012]="MMXIII"; allNumeralsumerals[2013]="MMXIV"; allNumeralsumerals[2014]="MMXV"; allNumeralsumerals[2015]="MMXVI"; allNumeralsumerals[2016]="MMXVII"; allNumeralsumerals[2017]="MMXVIII"; allNumeralsumerals[2018]="MMXIX"; allNumeralsumerals[2019]="MMXX"; allNumeralsumerals[2020]="MMXXI"; allNumeralsumerals[2021]="MMXXII"; allNumeralsumerals[2022]="MMXXIII"; allNumeralsumerals[2023]="MMXXIV"; allNumeralsumerals[2024]="MMXXV"; allNumeralsumerals[2025]="MMXXVI"; allNumeralsumerals[2026]="MMXXVII"; allNumeralsumerals[2027]="MMXXVIII"; allNumeralsumerals[2028]="MMXXIX"; allNumeralsumerals[2029]="MMXXX"; allNumeralsumerals[2030]="MMXXXI"; allNumeralsumerals[2031]="MMXXXII"; allNumeralsumerals[2032]="MMXXXIII"; allNumeralsumerals[2033]="MMXXXIV"; allNumeralsumerals[2034]="MMXXXV"; allNumeralsumerals[2035]="MMXXXVI"; allNumeralsumerals[2036]="MMXXXVII"; allNumeralsumerals[2037]="MMXXXVIII"; allNumeralsumerals[2038]="MMXXXIX"; allNumeralsumerals[2039]="MMXL"; allNumeralsumerals[2040]="MMXLI"; allNumeralsumerals[2041]="MMXLII"; allNumeralsumerals[2042]="MMXLIII"; allNumeralsumerals[2043]="MMXLIV"; allNumeralsumerals[2044]="MMXLV"; allNumeralsumerals[2045]="MMXLVI"; allNumeralsumerals[2046]="MMXLVII"; allNumeralsumerals[2047]="MMXLVIII"; allNumeralsumerals[2048]="MMXLIX"; allNumeralsumerals[2049]="MML"; allNumeralsumerals[2050]="MMLI"; allNumeralsumerals[2051]="MMLII"; allNumeralsumerals[2052]="MMLIII"; allNumeralsumerals[2053]="MMLIV"; allNumeralsumerals[2054]="MMLV"; allNumeralsumerals[2055]="MMLVI"; allNumeralsumerals[2056]="MMLVII"; allNumeralsumerals[2057]="MMLVIII"; allNumeralsumerals[2058]="MMLIX"; allNumeralsumerals[2059]="MMLX"; allNumeralsumerals[2060]="MMLXI"; allNumeralsumerals[2061]="MMLXII"; allNumeralsumerals[2062]="MMLXIII"; allNumeralsumerals[2063]="MMLXIV"; allNumeralsumerals[2064]="MMLXV"; allNumeralsumerals[2065]="MMLXVI"; allNumeralsumerals[2066]="MMLXVII"; allNumeralsumerals[2067]="MMLXVIII"; allNumeralsumerals[2068]="MMLXIX"; allNumeralsumerals[2069]="MMLXX"; allNumeralsumerals[2070]="MMLXXI"; allNumeralsumerals[2071]="MMLXXII"; allNumeralsumerals[2072]="MMLXXIII"; allNumeralsumerals[2073]="MMLXXIV"; allNumeralsumerals[2074]="MMLXXV"; allNumeralsumerals[2075]="MMLXXVI"; allNumeralsumerals[2076]="MMLXXVII"; allNumeralsumerals[2077]="MMLXXVIII"; allNumeralsumerals[2078]="MMLXXIX"; allNumeralsumerals[2079]="MMLXXX"; allNumeralsumerals[2080]="MMLXXXI"; allNumeralsumerals[2081]="MMLXXXII"; allNumeralsumerals[2082]="MMLXXXIII"; allNumeralsumerals[2083]="MMLXXXIV"; allNumeralsumerals[2084]="MMLXXXV"; allNumeralsumerals[2085]="MMLXXXVI"; allNumeralsumerals[2086]="MMLXXXVII"; allNumeralsumerals[2087]="MMLXXXVIII"; allNumeralsumerals[2088]="MMLXXXIX"; allNumeralsumerals[2089]="MMXC"; allNumeralsumerals[2090]="MMXCI"; allNumeralsumerals[2091]="MMXCII"; allNumeralsumerals[2092]="MMXCIII"; allNumeralsumerals[2093]="MMXCIV"; allNumeralsumerals[2094]="MMXCV"; allNumeralsumerals[2095]="MMXCVI"; allNumeralsumerals[2096]="MMXCVII"; allNumeralsumerals[2097]="MMXCVIII"; allNumeralsumerals[2098]="MMXCIX"; allNumeralsumerals[2099]="MMC"; allNumeralsumerals[2100]="MMCI"; allNumeralsumerals[2101]="MMCII"; allNumeralsumerals[2102]="MMCIII"; allNumeralsumerals[2103]="MMCIV"; allNumeralsumerals[2104]="MMCV"; allNumeralsumerals[2105]="MMCVI"; allNumeralsumerals[2106]="MMCVII"; allNumeralsumerals[2107]="MMCVIII"; allNumeralsumerals[2108]="MMCIX"; allNumeralsumerals[2109]="MMCX"; allNumeralsumerals[2110]="MMCXI"; allNumeralsumerals[2111]="MMCXII"; allNumeralsumerals[2112]="MMCXIII"; allNumeralsumerals[2113]="MMCXIV"; allNumeralsumerals[2114]="MMCXV"; allNumeralsumerals[2115]="MMCXVI"; allNumeralsumerals[2116]="MMCXVII"; allNumeralsumerals[2117]="MMCXVIII"; allNumeralsumerals[2118]="MMCXIX"; allNumeralsumerals[2119]="MMCXX"; allNumeralsumerals[2120]="MMCXXI"; allNumeralsumerals[2121]="MMCXXII"; allNumeralsumerals[2122]="MMCXXIII"; allNumeralsumerals[2123]="MMCXXIV"; allNumeralsumerals[2124]="MMCXXV"; allNumeralsumerals[2125]="MMCXXVI"; allNumeralsumerals[2126]="MMCXXVII"; allNumeralsumerals[2127]="MMCXXVIII"; allNumeralsumerals[2128]="MMCXXIX"; allNumeralsumerals[2129]="MMCXXX"; allNumeralsumerals[2130]="MMCXXXI"; allNumeralsumerals[2131]="MMCXXXII"; allNumeralsumerals[2132]="MMCXXXIII"; allNumeralsumerals[2133]="MMCXXXIV"; allNumeralsumerals[2134]="MMCXXXV"; allNumeralsumerals[2135]="MMCXXXVI"; allNumeralsumerals[2136]="MMCXXXVII"; allNumeralsumerals[2137]="MMCXXXVIII"; allNumeralsumerals[2138]="MMCXXXIX"; allNumeralsumerals[2139]="MMCXL"; allNumeralsumerals[2140]="MMCXLI"; allNumeralsumerals[2141]="MMCXLII"; allNumeralsumerals[2142]="MMCXLIII"; allNumeralsumerals[2143]="MMCXLIV"; allNumeralsumerals[2144]="MMCXLV"; allNumeralsumerals[2145]="MMCXLVI"; allNumeralsumerals[2146]="MMCXLVII"; allNumeralsumerals[2147]="MMCXLVIII"; allNumeralsumerals[2148]="MMCXLIX"; allNumeralsumerals[2149]="MMCL"; allNumeralsumerals[2150]="MMCLI"; allNumeralsumerals[2151]="MMCLII"; allNumeralsumerals[2152]="MMCLIII"; allNumeralsumerals[2153]="MMCLIV"; allNumeralsumerals[2154]="MMCLV"; allNumeralsumerals[2155]="MMCLVI"; allNumeralsumerals[2156]="MMCLVII"; allNumeralsumerals[2157]="MMCLVIII"; allNumeralsumerals[2158]="MMCLIX"; allNumeralsumerals[2159]="MMCLX"; allNumeralsumerals[2160]="MMCLXI"; allNumeralsumerals[2161]="MMCLXII"; allNumeralsumerals[2162]="MMCLXIII"; allNumeralsumerals[2163]="MMCLXIV"; allNumeralsumerals[2164]="MMCLXV"; allNumeralsumerals[2165]="MMCLXVI"; allNumeralsumerals[2166]="MMCLXVII"; allNumeralsumerals[2167]="MMCLXVIII"; allNumeralsumerals[2168]="MMCLXIX"; allNumeralsumerals[2169]="MMCLXX"; allNumeralsumerals[2170]="MMCLXXI"; allNumeralsumerals[2171]="MMCLXXII"; allNumeralsumerals[2172]="MMCLXXIII"; allNumeralsumerals[2173]="MMCLXXIV"; allNumeralsumerals[2174]="MMCLXXV"; allNumeralsumerals[2175]="MMCLXXVI"; allNumeralsumerals[2176]="MMCLXXVII"; allNumeralsumerals[2177]="MMCLXXVIII"; allNumeralsumerals[2178]="MMCLXXIX"; allNumeralsumerals[2179]="MMCLXXX"; allNumeralsumerals[2180]="MMCLXXXI"; allNumeralsumerals[2181]="MMCLXXXII"; allNumeralsumerals[2182]="MMCLXXXIII"; allNumeralsumerals[2183]="MMCLXXXIV"; allNumeralsumerals[2184]="MMCLXXXV"; allNumeralsumerals[2185]="MMCLXXXVI"; allNumeralsumerals[2186]="MMCLXXXVII"; allNumeralsumerals[2187]="MMCLXXXVIII"; allNumeralsumerals[2188]="MMCLXXXIX"; allNumeralsumerals[2189]="MMCXC"; allNumeralsumerals[2190]="MMCXCI"; allNumeralsumerals[2191]="MMCXCII"; allNumeralsumerals[2192]="MMCXCIII"; allNumeralsumerals[2193]="MMCXCIV"; allNumeralsumerals[2194]="MMCXCV"; allNumeralsumerals[2195]="MMCXCVI"; allNumeralsumerals[2196]="MMCXCVII"; allNumeralsumerals[2197]="MMCXCVIII"; allNumeralsumerals[2198]="MMCXCIX"; allNumeralsumerals[2199]="MMCC"; allNumeralsumerals[2200]="MMCCI"; allNumeralsumerals[2201]="MMCCII"; allNumeralsumerals[2202]="MMCCIII"; allNumeralsumerals[2203]="MMCCIV"; allNumeralsumerals[2204]="MMCCV"; allNumeralsumerals[2205]="MMCCVI"; allNumeralsumerals[2206]="MMCCVII"; allNumeralsumerals[2207]="MMCCVIII"; allNumeralsumerals[2208]="MMCCIX"; allNumeralsumerals[2209]="MMCCX"; allNumeralsumerals[2210]="MMCCXI"; allNumeralsumerals[2211]="MMCCXII"; allNumeralsumerals[2212]="MMCCXIII"; allNumeralsumerals[2213]="MMCCXIV"; allNumeralsumerals[2214]="MMCCXV"; allNumeralsumerals[2215]="MMCCXVI"; allNumeralsumerals[2216]="MMCCXVII"; allNumeralsumerals[2217]="MMCCXVIII"; allNumeralsumerals[2218]="MMCCXIX"; allNumeralsumerals[2219]="MMCCXX"; allNumeralsumerals[2220]="MMCCXXI"; allNumeralsumerals[2221]="MMCCXXII"; allNumeralsumerals[2222]="MMCCXXIII"; allNumeralsumerals[2223]="MMCCXXIV"; allNumeralsumerals[2224]="MMCCXXV"; allNumeralsumerals[2225]="MMCCXXVI"; allNumeralsumerals[2226]="MMCCXXVII"; allNumeralsumerals[2227]="MMCCXXVIII"; allNumeralsumerals[2228]="MMCCXXIX"; allNumeralsumerals[2229]="MMCCXXX"; allNumeralsumerals[2230]="MMCCXXXI"; allNumeralsumerals[2231]="MMCCXXXII"; allNumeralsumerals[2232]="MMCCXXXIII"; allNumeralsumerals[2233]="MMCCXXXIV"; allNumeralsumerals[2234]="MMCCXXXV"; allNumeralsumerals[2235]="MMCCXXXVI"; allNumeralsumerals[2236]="MMCCXXXVII"; allNumeralsumerals[2237]="MMCCXXXVIII"; allNumeralsumerals[2238]="MMCCXXXIX"; allNumeralsumerals[2239]="MMCCXL"; allNumeralsumerals[2240]="MMCCXLI"; allNumeralsumerals[2241]="MMCCXLII"; allNumeralsumerals[2242]="MMCCXLIII"; allNumeralsumerals[2243]="MMCCXLIV"; allNumeralsumerals[2244]="MMCCXLV"; allNumeralsumerals[2245]="MMCCXLVI"; allNumeralsumerals[2246]="MMCCXLVII"; allNumeralsumerals[2247]="MMCCXLVIII"; allNumeralsumerals[2248]="MMCCXLIX"; allNumeralsumerals[2249]="MMCCL"; allNumeralsumerals[2250]="MMCCLI"; allNumeralsumerals[2251]="MMCCLII"; allNumeralsumerals[2252]="MMCCLIII"; allNumeralsumerals[2253]="MMCCLIV"; allNumeralsumerals[2254]="MMCCLV"; allNumeralsumerals[2255]="MMCCLVI"; allNumeralsumerals[2256]="MMCCLVII"; allNumeralsumerals[2257]="MMCCLVIII"; allNumeralsumerals[2258]="MMCCLIX"; allNumeralsumerals[2259]="MMCCLX"; allNumeralsumerals[2260]="MMCCLXI"; allNumeralsumerals[2261]="MMCCLXII"; allNumeralsumerals[2262]="MMCCLXIII"; allNumeralsumerals[2263]="MMCCLXIV"; allNumeralsumerals[2264]="MMCCLXV"; allNumeralsumerals[2265]="MMCCLXVI"; allNumeralsumerals[2266]="MMCCLXVII"; allNumeralsumerals[2267]="MMCCLXVIII"; allNumeralsumerals[2268]="MMCCLXIX"; allNumeralsumerals[2269]="MMCCLXX"; allNumeralsumerals[2270]="MMCCLXXI"; allNumeralsumerals[2271]="MMCCLXXII"; allNumeralsumerals[2272]="MMCCLXXIII"; allNumeralsumerals[2273]="MMCCLXXIV"; allNumeralsumerals[2274]="MMCCLXXV"; allNumeralsumerals[2275]="MMCCLXXVI"; allNumeralsumerals[2276]="MMCCLXXVII"; allNumeralsumerals[2277]="MMCCLXXVIII"; allNumeralsumerals[2278]="MMCCLXXIX"; allNumeralsumerals[2279]="MMCCLXXX"; allNumeralsumerals[2280]="MMCCLXXXI"; allNumeralsumerals[2281]="MMCCLXXXII"; allNumeralsumerals[2282]="MMCCLXXXIII"; allNumeralsumerals[2283]="MMCCLXXXIV"; allNumeralsumerals[2284]="MMCCLXXXV"; allNumeralsumerals[2285]="MMCCLXXXVI"; allNumeralsumerals[2286]="MMCCLXXXVII"; allNumeralsumerals[2287]="MMCCLXXXVIII"; allNumeralsumerals[2288]="MMCCLXXXIX"; allNumeralsumerals[2289]="MMCCXC"; allNumeralsumerals[2290]="MMCCXCI"; allNumeralsumerals[2291]="MMCCXCII"; allNumeralsumerals[2292]="MMCCXCIII"; allNumeralsumerals[2293]="MMCCXCIV"; allNumeralsumerals[2294]="MMCCXCV"; allNumeralsumerals[2295]="MMCCXCVI"; allNumeralsumerals[2296]="MMCCXCVII"; allNumeralsumerals[2297]="MMCCXCVIII"; allNumeralsumerals[2298]="MMCCXCIX"; allNumeralsumerals[2299]="MMCCC"; allNumeralsumerals[2300]="MMCCCI"; allNumeralsumerals[2301]="MMCCCII"; allNumeralsumerals[2302]="MMCCCIII"; allNumeralsumerals[2303]="MMCCCIV"; allNumeralsumerals[2304]="MMCCCV"; allNumeralsumerals[2305]="MMCCCVI"; allNumeralsumerals[2306]="MMCCCVII"; allNumeralsumerals[2307]="MMCCCVIII"; allNumeralsumerals[2308]="MMCCCIX"; allNumeralsumerals[2309]="MMCCCX"; allNumeralsumerals[2310]="MMCCCXI"; allNumeralsumerals[2311]="MMCCCXII"; allNumeralsumerals[2312]="MMCCCXIII"; allNumeralsumerals[2313]="MMCCCXIV"; allNumeralsumerals[2314]="MMCCCXV"; allNumeralsumerals[2315]="MMCCCXVI"; allNumeralsumerals[2316]="MMCCCXVII"; allNumeralsumerals[2317]="MMCCCXVIII"; allNumeralsumerals[2318]="MMCCCXIX"; allNumeralsumerals[2319]="MMCCCXX"; allNumeralsumerals[2320]="MMCCCXXI"; allNumeralsumerals[2321]="MMCCCXXII"; allNumeralsumerals[2322]="MMCCCXXIII"; allNumeralsumerals[2323]="MMCCCXXIV"; allNumeralsumerals[2324]="MMCCCXXV"; allNumeralsumerals[2325]="MMCCCXXVI"; allNumeralsumerals[2326]="MMCCCXXVII"; allNumeralsumerals[2327]="MMCCCXXVIII"; allNumeralsumerals[2328]="MMCCCXXIX"; allNumeralsumerals[2329]="MMCCCXXX"; allNumeralsumerals[2330]="MMCCCXXXI"; allNumeralsumerals[2331]="MMCCCXXXII"; allNumeralsumerals[2332]="MMCCCXXXIII"; allNumeralsumerals[2333]="MMCCCXXXIV"; allNumeralsumerals[2334]="MMCCCXXXV"; allNumeralsumerals[2335]="MMCCCXXXVI"; allNumeralsumerals[2336]="MMCCCXXXVII"; allNumeralsumerals[2337]="MMCCCXXXVIII"; allNumeralsumerals[2338]="MMCCCXXXIX"; allNumeralsumerals[2339]="MMCCCXL"; allNumeralsumerals[2340]="MMCCCXLI"; allNumeralsumerals[2341]="MMCCCXLII"; allNumeralsumerals[2342]="MMCCCXLIII"; allNumeralsumerals[2343]="MMCCCXLIV"; allNumeralsumerals[2344]="MMCCCXLV"; allNumeralsumerals[2345]="MMCCCXLVI"; allNumeralsumerals[2346]="MMCCCXLVII"; allNumeralsumerals[2347]="MMCCCXLVIII"; allNumeralsumerals[2348]="MMCCCXLIX"; allNumeralsumerals[2349]="MMCCCL"; allNumeralsumerals[2350]="MMCCCLI"; allNumeralsumerals[2351]="MMCCCLII"; allNumeralsumerals[2352]="MMCCCLIII"; allNumeralsumerals[2353]="MMCCCLIV"; allNumeralsumerals[2354]="MMCCCLV"; allNumeralsumerals[2355]="MMCCCLVI"; allNumeralsumerals[2356]="MMCCCLVII"; allNumeralsumerals[2357]="MMCCCLVIII"; allNumeralsumerals[2358]="MMCCCLIX"; allNumeralsumerals[2359]="MMCCCLX"; allNumeralsumerals[2360]="MMCCCLXI"; allNumeralsumerals[2361]="MMCCCLXII"; allNumeralsumerals[2362]="MMCCCLXIII"; allNumeralsumerals[2363]="MMCCCLXIV"; allNumeralsumerals[2364]="MMCCCLXV"; allNumeralsumerals[2365]="MMCCCLXVI"; allNumeralsumerals[2366]="MMCCCLXVII"; allNumeralsumerals[2367]="MMCCCLXVIII"; allNumeralsumerals[2368]="MMCCCLXIX"; allNumeralsumerals[2369]="MMCCCLXX"; allNumeralsumerals[2370]="MMCCCLXXI"; allNumeralsumerals[2371]="MMCCCLXXII"; allNumeralsumerals[2372]="MMCCCLXXIII"; allNumeralsumerals[2373]="MMCCCLXXIV"; allNumeralsumerals[2374]="MMCCCLXXV"; allNumeralsumerals[2375]="MMCCCLXXVI"; allNumeralsumerals[2376]="MMCCCLXXVII"; allNumeralsumerals[2377]="MMCCCLXXVIII"; allNumeralsumerals[2378]="MMCCCLXXIX"; allNumeralsumerals[2379]="MMCCCLXXX"; allNumeralsumerals[2380]="MMCCCLXXXI"; allNumeralsumerals[2381]="MMCCCLXXXII"; allNumeralsumerals[2382]="MMCCCLXXXIII"; allNumeralsumerals[2383]="MMCCCLXXXIV"; allNumeralsumerals[2384]="MMCCCLXXXV"; allNumeralsumerals[2385]="MMCCCLXXXVI"; allNumeralsumerals[2386]="MMCCCLXXXVII"; allNumeralsumerals[2387]="MMCCCLXXXVIII"; allNumeralsumerals[2388]="MMCCCLXXXIX"; allNumeralsumerals[2389]="MMCCCXC"; allNumeralsumerals[2390]="MMCCCXCI"; allNumeralsumerals[2391]="MMCCCXCII"; allNumeralsumerals[2392]="MMCCCXCIII"; allNumeralsumerals[2393]="MMCCCXCIV"; allNumeralsumerals[2394]="MMCCCXCV"; allNumeralsumerals[2395]="MMCCCXCVI"; allNumeralsumerals[2396]="MMCCCXCVII"; allNumeralsumerals[2397]="MMCCCXCVIII"; allNumeralsumerals[2398]="MMCCCXCIX"; allNumeralsumerals[2399]="MMCD"; allNumeralsumerals[2400]="MMCDI"; allNumeralsumerals[2401]="MMCDII"; allNumeralsumerals[2402]="MMCDIII"; allNumeralsumerals[2403]="MMCDIV"; allNumeralsumerals[2404]="MMCDV"; allNumeralsumerals[2405]="MMCDVI"; allNumeralsumerals[2406]="MMCDVII"; allNumeralsumerals[2407]="MMCDVIII"; allNumeralsumerals[2408]="MMCDIX"; allNumeralsumerals[2409]="MMCDX"; allNumeralsumerals[2410]="MMCDXI"; allNumeralsumerals[2411]="MMCDXII"; allNumeralsumerals[2412]="MMCDXIII"; allNumeralsumerals[2413]="MMCDXIV"; allNumeralsumerals[2414]="MMCDXV"; allNumeralsumerals[2415]="MMCDXVI"; allNumeralsumerals[2416]="MMCDXVII"; allNumeralsumerals[2417]="MMCDXVIII"; allNumeralsumerals[2418]="MMCDXIX"; allNumeralsumerals[2419]="MMCDXX"; allNumeralsumerals[2420]="MMCDXXI"; allNumeralsumerals[2421]="MMCDXXII"; allNumeralsumerals[2422]="MMCDXXIII"; allNumeralsumerals[2423]="MMCDXXIV"; allNumeralsumerals[2424]="MMCDXXV"; allNumeralsumerals[2425]="MMCDXXVI"; allNumeralsumerals[2426]="MMCDXXVII"; allNumeralsumerals[2427]="MMCDXXVIII"; allNumeralsumerals[2428]="MMCDXXIX"; allNumeralsumerals[2429]="MMCDXXX"; allNumeralsumerals[2430]="MMCDXXXI"; allNumeralsumerals[2431]="MMCDXXXII"; allNumeralsumerals[2432]="MMCDXXXIII"; allNumeralsumerals[2433]="MMCDXXXIV"; allNumeralsumerals[2434]="MMCDXXXV"; allNumeralsumerals[2435]="MMCDXXXVI"; allNumeralsumerals[2436]="MMCDXXXVII"; allNumeralsumerals[2437]="MMCDXXXVIII"; allNumeralsumerals[2438]="MMCDXXXIX"; allNumeralsumerals[2439]="MMCDXL"; allNumeralsumerals[2440]="MMCDXLI"; allNumeralsumerals[2441]="MMCDXLII"; allNumeralsumerals[2442]="MMCDXLIII"; allNumeralsumerals[2443]="MMCDXLIV"; allNumeralsumerals[2444]="MMCDXLV"; allNumeralsumerals[2445]="MMCDXLVI"; allNumeralsumerals[2446]="MMCDXLVII"; allNumeralsumerals[2447]="MMCDXLVIII"; allNumeralsumerals[2448]="MMCDXLIX"; allNumeralsumerals[2449]="MMCDL"; allNumeralsumerals[2450]="MMCDLI"; allNumeralsumerals[2451]="MMCDLII"; allNumeralsumerals[2452]="MMCDLIII"; allNumeralsumerals[2453]="MMCDLIV"; allNumeralsumerals[2454]="MMCDLV"; allNumeralsumerals[2455]="MMCDLVI"; allNumeralsumerals[2456]="MMCDLVII"; allNumeralsumerals[2457]="MMCDLVIII"; allNumeralsumerals[2458]="MMCDLIX"; allNumeralsumerals[2459]="MMCDLX"; allNumeralsumerals[2460]="MMCDLXI"; allNumeralsumerals[2461]="MMCDLXII"; allNumeralsumerals[2462]="MMCDLXIII"; allNumeralsumerals[2463]="MMCDLXIV"; allNumeralsumerals[2464]="MMCDLXV"; allNumeralsumerals[2465]="MMCDLXVI"; allNumeralsumerals[2466]="MMCDLXVII"; allNumeralsumerals[2467]="MMCDLXVIII"; allNumeralsumerals[2468]="MMCDLXIX"; allNumeralsumerals[2469]="MMCDLXX"; allNumeralsumerals[2470]="MMCDLXXI"; allNumeralsumerals[2471]="MMCDLXXII"; allNumeralsumerals[2472]="MMCDLXXIII"; allNumeralsumerals[2473]="MMCDLXXIV"; allNumeralsumerals[2474]="MMCDLXXV"; allNumeralsumerals[2475]="MMCDLXXVI"; allNumeralsumerals[2476]="MMCDLXXVII"; allNumeralsumerals[2477]="MMCDLXXVIII"; allNumeralsumerals[2478]="MMCDLXXIX"; allNumeralsumerals[2479]="MMCDLXXX"; allNumeralsumerals[2480]="MMCDLXXXI"; allNumeralsumerals[2481]="MMCDLXXXII"; allNumeralsumerals[2482]="MMCDLXXXIII"; allNumeralsumerals[2483]="MMCDLXXXIV"; allNumeralsumerals[2484]="MMCDLXXXV"; allNumeralsumerals[2485]="MMCDLXXXVI"; allNumeralsumerals[2486]="MMCDLXXXVII"; allNumeralsumerals[2487]="MMCDLXXXVIII"; allNumeralsumerals[2488]="MMCDLXXXIX"; allNumeralsumerals[2489]="MMCDXC"; allNumeralsumerals[2490]="MMCDXCI"; allNumeralsumerals[2491]="MMCDXCII"; allNumeralsumerals[2492]="MMCDXCIII"; allNumeralsumerals[2493]="MMCDXCIV"; allNumeralsumerals[2494]="MMCDXCV"; allNumeralsumerals[2495]="MMCDXCVI"; allNumeralsumerals[2496]="MMCDXCVII"; allNumeralsumerals[2497]="MMCDXCVIII"; allNumeralsumerals[2498]="MMCDXCIX"; allNumeralsumerals[2499]="MMD"; allNumeralsumerals[2500]="MMDI"; allNumeralsumerals[2501]="MMDII"; allNumeralsumerals[2502]="MMDIII"; allNumeralsumerals[2503]="MMDIV"; allNumeralsumerals[2504]="MMDV"; allNumeralsumerals[2505]="MMDVI"; allNumeralsumerals[2506]="MMDVII"; allNumeralsumerals[2507]="MMDVIII"; allNumeralsumerals[2508]="MMDIX"; allNumeralsumerals[2509]="MMDX"; allNumeralsumerals[2510]="MMDXI"; allNumeralsumerals[2511]="MMDXII"; allNumeralsumerals[2512]="MMDXIII"; allNumeralsumerals[2513]="MMDXIV"; allNumeralsumerals[2514]="MMDXV"; allNumeralsumerals[2515]="MMDXVI"; allNumeralsumerals[2516]="MMDXVII"; allNumeralsumerals[2517]="MMDXVIII"; allNumeralsumerals[2518]="MMDXIX"; allNumeralsumerals[2519]="MMDXX"; allNumeralsumerals[2520]="MMDXXI"; allNumeralsumerals[2521]="MMDXXII"; allNumeralsumerals[2522]="MMDXXIII"; allNumeralsumerals[2523]="MMDXXIV"; allNumeralsumerals[2524]="MMDXXV"; allNumeralsumerals[2525]="MMDXXVI"; allNumeralsumerals[2526]="MMDXXVII"; allNumeralsumerals[2527]="MMDXXVIII"; allNumeralsumerals[2528]="MMDXXIX"; allNumeralsumerals[2529]="MMDXXX"; allNumeralsumerals[2530]="MMDXXXI"; allNumeralsumerals[2531]="MMDXXXII"; allNumeralsumerals[2532]="MMDXXXIII"; allNumeralsumerals[2533]="MMDXXXIV"; allNumeralsumerals[2534]="MMDXXXV"; allNumeralsumerals[2535]="MMDXXXVI"; allNumeralsumerals[2536]="MMDXXXVII"; allNumeralsumerals[2537]="MMDXXXVIII"; allNumeralsumerals[2538]="MMDXXXIX"; allNumeralsumerals[2539]="MMDXL"; allNumeralsumerals[2540]="MMDXLI"; allNumeralsumerals[2541]="MMDXLII"; allNumeralsumerals[2542]="MMDXLIII"; allNumeralsumerals[2543]="MMDXLIV"; allNumeralsumerals[2544]="MMDXLV"; allNumeralsumerals[2545]="MMDXLVI"; allNumeralsumerals[2546]="MMDXLVII"; allNumeralsumerals[2547]="MMDXLVIII"; allNumeralsumerals[2548]="MMDXLIX"; allNumeralsumerals[2549]="MMDL"; allNumeralsumerals[2550]="MMDLI"; allNumeralsumerals[2551]="MMDLII"; allNumeralsumerals[2552]="MMDLIII"; allNumeralsumerals[2553]="MMDLIV"; allNumeralsumerals[2554]="MMDLV"; allNumeralsumerals[2555]="MMDLVI"; allNumeralsumerals[2556]="MMDLVII"; allNumeralsumerals[2557]="MMDLVIII"; allNumeralsumerals[2558]="MMDLIX"; allNumeralsumerals[2559]="MMDLX"; allNumeralsumerals[2560]="MMDLXI"; allNumeralsumerals[2561]="MMDLXII"; allNumeralsumerals[2562]="MMDLXIII"; allNumeralsumerals[2563]="MMDLXIV"; allNumeralsumerals[2564]="MMDLXV"; allNumeralsumerals[2565]="MMDLXVI"; allNumeralsumerals[2566]="MMDLXVII"; allNumeralsumerals[2567]="MMDLXVIII"; allNumeralsumerals[2568]="MMDLXIX"; allNumeralsumerals[2569]="MMDLXX"; allNumeralsumerals[2570]="MMDLXXI"; allNumeralsumerals[2571]="MMDLXXII"; allNumeralsumerals[2572]="MMDLXXIII"; allNumeralsumerals[2573]="MMDLXXIV"; allNumeralsumerals[2574]="MMDLXXV"; allNumeralsumerals[2575]="MMDLXXVI"; allNumeralsumerals[2576]="MMDLXXVII"; allNumeralsumerals[2577]="MMDLXXVIII"; allNumeralsumerals[2578]="MMDLXXIX"; allNumeralsumerals[2579]="MMDLXXX"; allNumeralsumerals[2580]="MMDLXXXI"; allNumeralsumerals[2581]="MMDLXXXII"; allNumeralsumerals[2582]="MMDLXXXIII"; allNumeralsumerals[2583]="MMDLXXXIV"; allNumeralsumerals[2584]="MMDLXXXV"; allNumeralsumerals[2585]="MMDLXXXVI"; allNumeralsumerals[2586]="MMDLXXXVII"; allNumeralsumerals[2587]="MMDLXXXVIII"; allNumeralsumerals[2588]="MMDLXXXIX"; allNumeralsumerals[2589]="MMDXC"; allNumeralsumerals[2590]="MMDXCI"; allNumeralsumerals[2591]="MMDXCII"; allNumeralsumerals[2592]="MMDXCIII"; allNumeralsumerals[2593]="MMDXCIV"; allNumeralsumerals[2594]="MMDXCV"; allNumeralsumerals[2595]="MMDXCVI"; allNumeralsumerals[2596]="MMDXCVII"; allNumeralsumerals[2597]="MMDXCVIII"; allNumeralsumerals[2598]="MMDXCIX"; allNumeralsumerals[2599]="MMDC"; allNumeralsumerals[2600]="MMDCI"; allNumeralsumerals[2601]="MMDCII"; allNumeralsumerals[2602]="MMDCIII"; allNumeralsumerals[2603]="MMDCIV"; allNumeralsumerals[2604]="MMDCV"; allNumeralsumerals[2605]="MMDCVI"; allNumeralsumerals[2606]="MMDCVII"; allNumeralsumerals[2607]="MMDCVIII"; allNumeralsumerals[2608]="MMDCIX"; allNumeralsumerals[2609]="MMDCX"; allNumeralsumerals[2610]="MMDCXI"; allNumeralsumerals[2611]="MMDCXII"; allNumeralsumerals[2612]="MMDCXIII"; allNumeralsumerals[2613]="MMDCXIV"; allNumeralsumerals[2614]="MMDCXV"; allNumeralsumerals[2615]="MMDCXVI"; allNumeralsumerals[2616]="MMDCXVII"; allNumeralsumerals[2617]="MMDCXVIII"; allNumeralsumerals[2618]="MMDCXIX"; allNumeralsumerals[2619]="MMDCXX"; allNumeralsumerals[2620]="MMDCXXI"; allNumeralsumerals[2621]="MMDCXXII"; allNumeralsumerals[2622]="MMDCXXIII"; allNumeralsumerals[2623]="MMDCXXIV"; allNumeralsumerals[2624]="MMDCXXV"; allNumeralsumerals[2625]="MMDCXXVI"; allNumeralsumerals[2626]="MMDCXXVII"; allNumeralsumerals[2627]="MMDCXXVIII"; allNumeralsumerals[2628]="MMDCXXIX"; allNumeralsumerals[2629]="MMDCXXX"; allNumeralsumerals[2630]="MMDCXXXI"; allNumeralsumerals[2631]="MMDCXXXII"; allNumeralsumerals[2632]="MMDCXXXIII"; allNumeralsumerals[2633]="MMDCXXXIV"; allNumeralsumerals[2634]="MMDCXXXV"; allNumeralsumerals[2635]="MMDCXXXVI"; allNumeralsumerals[2636]="MMDCXXXVII"; allNumeralsumerals[2637]="MMDCXXXVIII"; allNumeralsumerals[2638]="MMDCXXXIX"; allNumeralsumerals[2639]="MMDCXL"; allNumeralsumerals[2640]="MMDCXLI"; allNumeralsumerals[2641]="MMDCXLII"; allNumeralsumerals[2642]="MMDCXLIII"; allNumeralsumerals[2643]="MMDCXLIV"; allNumeralsumerals[2644]="MMDCXLV"; allNumeralsumerals[2645]="MMDCXLVI"; allNumeralsumerals[2646]="MMDCXLVII"; allNumeralsumerals[2647]="MMDCXLVIII"; allNumeralsumerals[2648]="MMDCXLIX"; allNumeralsumerals[2649]="MMDCL"; allNumeralsumerals[2650]="MMDCLI"; allNumeralsumerals[2651]="MMDCLII"; allNumeralsumerals[2652]="MMDCLIII"; allNumeralsumerals[2653]="MMDCLIV"; allNumeralsumerals[2654]="MMDCLV"; allNumeralsumerals[2655]="MMDCLVI"; allNumeralsumerals[2656]="MMDCLVII"; allNumeralsumerals[2657]="MMDCLVIII"; allNumeralsumerals[2658]="MMDCLIX"; allNumeralsumerals[2659]="MMDCLX"; allNumeralsumerals[2660]="MMDCLXI"; allNumeralsumerals[2661]="MMDCLXII"; allNumeralsumerals[2662]="MMDCLXIII"; allNumeralsumerals[2663]="MMDCLXIV"; allNumeralsumerals[2664]="MMDCLXV"; allNumeralsumerals[2665]="MMDCLXVI"; allNumeralsumerals[2666]="MMDCLXVII"; allNumeralsumerals[2667]="MMDCLXVIII"; allNumeralsumerals[2668]="MMDCLXIX"; allNumeralsumerals[2669]="MMDCLXX"; allNumeralsumerals[2670]="MMDCLXXI"; allNumeralsumerals[2671]="MMDCLXXII"; allNumeralsumerals[2672]="MMDCLXXIII"; allNumeralsumerals[2673]="MMDCLXXIV"; allNumeralsumerals[2674]="MMDCLXXV"; allNumeralsumerals[2675]="MMDCLXXVI"; allNumeralsumerals[2676]="MMDCLXXVII"; allNumeralsumerals[2677]="MMDCLXXVIII"; allNumeralsumerals[2678]="MMDCLXXIX"; allNumeralsumerals[2679]="MMDCLXXX"; allNumeralsumerals[2680]="MMDCLXXXI"; allNumeralsumerals[2681]="MMDCLXXXII"; allNumeralsumerals[2682]="MMDCLXXXIII"; allNumeralsumerals[2683]="MMDCLXXXIV"; allNumeralsumerals[2684]="MMDCLXXXV"; allNumeralsumerals[2685]="MMDCLXXXVI"; allNumeralsumerals[2686]="MMDCLXXXVII"; allNumeralsumerals[2687]="MMDCLXXXVIII"; allNumeralsumerals[2688]="MMDCLXXXIX"; allNumeralsumerals[2689]="MMDCXC"; allNumeralsumerals[2690]="MMDCXCI"; allNumeralsumerals[2691]="MMDCXCII"; allNumeralsumerals[2692]="MMDCXCIII"; allNumeralsumerals[2693]="MMDCXCIV"; allNumeralsumerals[2694]="MMDCXCV"; allNumeralsumerals[2695]="MMDCXCVI"; allNumeralsumerals[2696]="MMDCXCVII"; allNumeralsumerals[2697]="MMDCXCVIII"; allNumeralsumerals[2698]="MMDCXCIX"; allNumeralsumerals[2699]="MMDCC"; allNumeralsumerals[2700]="MMDCCI"; allNumeralsumerals[2701]="MMDCCII"; allNumeralsumerals[2702]="MMDCCIII"; allNumeralsumerals[2703]="MMDCCIV"; allNumeralsumerals[2704]="MMDCCV"; allNumeralsumerals[2705]="MMDCCVI"; allNumeralsumerals[2706]="MMDCCVII"; allNumeralsumerals[2707]="MMDCCVIII"; allNumeralsumerals[2708]="MMDCCIX"; allNumeralsumerals[2709]="MMDCCX"; allNumeralsumerals[2710]="MMDCCXI"; allNumeralsumerals[2711]="MMDCCXII"; allNumeralsumerals[2712]="MMDCCXIII"; allNumeralsumerals[2713]="MMDCCXIV"; allNumeralsumerals[2714]="MMDCCXV"; allNumeralsumerals[2715]="MMDCCXVI"; allNumeralsumerals[2716]="MMDCCXVII"; allNumeralsumerals[2717]="MMDCCXVIII"; allNumeralsumerals[2718]="MMDCCXIX"; allNumeralsumerals[2719]="MMDCCXX"; allNumeralsumerals[2720]="MMDCCXXI"; allNumeralsumerals[2721]="MMDCCXXII"; allNumeralsumerals[2722]="MMDCCXXIII"; allNumeralsumerals[2723]="MMDCCXXIV"; allNumeralsumerals[2724]="MMDCCXXV"; allNumeralsumerals[2725]="MMDCCXXVI"; allNumeralsumerals[2726]="MMDCCXXVII"; allNumeralsumerals[2727]="MMDCCXXVIII"; allNumeralsumerals[2728]="MMDCCXXIX"; allNumeralsumerals[2729]="MMDCCXXX"; allNumeralsumerals[2730]="MMDCCXXXI"; allNumeralsumerals[2731]="MMDCCXXXII"; allNumeralsumerals[2732]="MMDCCXXXIII"; allNumeralsumerals[2733]="MMDCCXXXIV"; allNumeralsumerals[2734]="MMDCCXXXV"; allNumeralsumerals[2735]="MMDCCXXXVI"; allNumeralsumerals[2736]="MMDCCXXXVII"; allNumeralsumerals[2737]="MMDCCXXXVIII"; allNumeralsumerals[2738]="MMDCCXXXIX"; allNumeralsumerals[2739]="MMDCCXL"; allNumeralsumerals[2740]="MMDCCXLI"; allNumeralsumerals[2741]="MMDCCXLII"; allNumeralsumerals[2742]="MMDCCXLIII"; allNumeralsumerals[2743]="MMDCCXLIV"; allNumeralsumerals[2744]="MMDCCXLV"; allNumeralsumerals[2745]="MMDCCXLVI"; allNumeralsumerals[2746]="MMDCCXLVII"; allNumeralsumerals[2747]="MMDCCXLVIII"; allNumeralsumerals[2748]="MMDCCXLIX"; allNumeralsumerals[2749]="MMDCCL"; allNumeralsumerals[2750]="MMDCCLI"; allNumeralsumerals[2751]="MMDCCLII"; allNumeralsumerals[2752]="MMDCCLIII"; allNumeralsumerals[2753]="MMDCCLIV"; allNumeralsumerals[2754]="MMDCCLV"; allNumeralsumerals[2755]="MMDCCLVI"; allNumeralsumerals[2756]="MMDCCLVII"; allNumeralsumerals[2757]="MMDCCLVIII"; allNumeralsumerals[2758]="MMDCCLIX"; allNumeralsumerals[2759]="MMDCCLX"; allNumeralsumerals[2760]="MMDCCLXI"; allNumeralsumerals[2761]="MMDCCLXII"; allNumeralsumerals[2762]="MMDCCLXIII"; allNumeralsumerals[2763]="MMDCCLXIV"; allNumeralsumerals[2764]="MMDCCLXV"; allNumeralsumerals[2765]="MMDCCLXVI"; allNumeralsumerals[2766]="MMDCCLXVII"; allNumeralsumerals[2767]="MMDCCLXVIII"; allNumeralsumerals[2768]="MMDCCLXIX"; allNumeralsumerals[2769]="MMDCCLXX"; allNumeralsumerals[2770]="MMDCCLXXI"; allNumeralsumerals[2771]="MMDCCLXXII"; allNumeralsumerals[2772]="MMDCCLXXIII"; allNumeralsumerals[2773]="MMDCCLXXIV"; allNumeralsumerals[2774]="MMDCCLXXV"; allNumeralsumerals[2775]="MMDCCLXXVI"; allNumeralsumerals[2776]="MMDCCLXXVII"; allNumeralsumerals[2777]="MMDCCLXXVIII"; allNumeralsumerals[2778]="MMDCCLXXIX"; allNumeralsumerals[2779]="MMDCCLXXX"; allNumeralsumerals[2780]="MMDCCLXXXI"; allNumeralsumerals[2781]="MMDCCLXXXII"; allNumeralsumerals[2782]="MMDCCLXXXIII"; allNumeralsumerals[2783]="MMDCCLXXXIV"; allNumeralsumerals[2784]="MMDCCLXXXV"; allNumeralsumerals[2785]="MMDCCLXXXVI"; allNumeralsumerals[2786]="MMDCCLXXXVII"; allNumeralsumerals[2787]="MMDCCLXXXVIII"; allNumeralsumerals[2788]="MMDCCLXXXIX"; allNumeralsumerals[2789]="MMDCCXC"; allNumeralsumerals[2790]="MMDCCXCI"; allNumeralsumerals[2791]="MMDCCXCII"; allNumeralsumerals[2792]="MMDCCXCIII"; allNumeralsumerals[2793]="MMDCCXCIV"; allNumeralsumerals[2794]="MMDCCXCV"; allNumeralsumerals[2795]="MMDCCXCVI"; allNumeralsumerals[2796]="MMDCCXCVII"; allNumeralsumerals[2797]="MMDCCXCVIII"; allNumeralsumerals[2798]="MMDCCXCIX"; allNumeralsumerals[2799]="MMDCCC"; allNumeralsumerals[2800]="MMDCCCI"; allNumeralsumerals[2801]="MMDCCCII"; allNumeralsumerals[2802]="MMDCCCIII"; allNumeralsumerals[2803]="MMDCCCIV"; allNumeralsumerals[2804]="MMDCCCV"; allNumeralsumerals[2805]="MMDCCCVI"; allNumeralsumerals[2806]="MMDCCCVII"; allNumeralsumerals[2807]="MMDCCCVIII"; allNumeralsumerals[2808]="MMDCCCIX"; allNumeralsumerals[2809]="MMDCCCX"; allNumeralsumerals[2810]="MMDCCCXI"; allNumeralsumerals[2811]="MMDCCCXII"; allNumeralsumerals[2812]="MMDCCCXIII"; allNumeralsumerals[2813]="MMDCCCXIV"; allNumeralsumerals[2814]="MMDCCCXV"; allNumeralsumerals[2815]="MMDCCCXVI"; allNumeralsumerals[2816]="MMDCCCXVII"; allNumeralsumerals[2817]="MMDCCCXVIII"; allNumeralsumerals[2818]="MMDCCCXIX"; allNumeralsumerals[2819]="MMDCCCXX"; allNumeralsumerals[2820]="MMDCCCXXI"; allNumeralsumerals[2821]="MMDCCCXXII"; allNumeralsumerals[2822]="MMDCCCXXIII"; allNumeralsumerals[2823]="MMDCCCXXIV"; allNumeralsumerals[2824]="MMDCCCXXV"; allNumeralsumerals[2825]="MMDCCCXXVI"; allNumeralsumerals[2826]="MMDCCCXXVII"; allNumeralsumerals[2827]="MMDCCCXXVIII"; allNumeralsumerals[2828]="MMDCCCXXIX"; allNumeralsumerals[2829]="MMDCCCXXX"; allNumeralsumerals[2830]="MMDCCCXXXI"; allNumeralsumerals[2831]="MMDCCCXXXII"; allNumeralsumerals[2832]="MMDCCCXXXIII"; allNumeralsumerals[2833]="MMDCCCXXXIV"; allNumeralsumerals[2834]="MMDCCCXXXV"; allNumeralsumerals[2835]="MMDCCCXXXVI"; allNumeralsumerals[2836]="MMDCCCXXXVII"; allNumeralsumerals[2837]="MMDCCCXXXVIII"; allNumeralsumerals[2838]="MMDCCCXXXIX"; allNumeralsumerals[2839]="MMDCCCXL"; allNumeralsumerals[2840]="MMDCCCXLI"; allNumeralsumerals[2841]="MMDCCCXLII"; allNumeralsumerals[2842]="MMDCCCXLIII"; allNumeralsumerals[2843]="MMDCCCXLIV"; allNumeralsumerals[2844]="MMDCCCXLV"; allNumeralsumerals[2845]="MMDCCCXLVI"; allNumeralsumerals[2846]="MMDCCCXLVII"; allNumeralsumerals[2847]="MMDCCCXLVIII"; allNumeralsumerals[2848]="MMDCCCXLIX"; allNumeralsumerals[2849]="MMDCCCL"; allNumeralsumerals[2850]="MMDCCCLI"; allNumeralsumerals[2851]="MMDCCCLII"; allNumeralsumerals[2852]="MMDCCCLIII"; allNumeralsumerals[2853]="MMDCCCLIV"; allNumeralsumerals[2854]="MMDCCCLV"; allNumeralsumerals[2855]="MMDCCCLVI"; allNumeralsumerals[2856]="MMDCCCLVII"; allNumeralsumerals[2857]="MMDCCCLVIII"; allNumeralsumerals[2858]="MMDCCCLIX"; allNumeralsumerals[2859]="MMDCCCLX"; allNumeralsumerals[2860]="MMDCCCLXI"; allNumeralsumerals[2861]="MMDCCCLXII"; allNumeralsumerals[2862]="MMDCCCLXIII"; allNumeralsumerals[2863]="MMDCCCLXIV"; allNumeralsumerals[2864]="MMDCCCLXV"; allNumeralsumerals[2865]="MMDCCCLXVI"; allNumeralsumerals[2866]="MMDCCCLXVII"; allNumeralsumerals[2867]="MMDCCCLXVIII"; allNumeralsumerals[2868]="MMDCCCLXIX"; allNumeralsumerals[2869]="MMDCCCLXX"; allNumeralsumerals[2870]="MMDCCCLXXI"; allNumeralsumerals[2871]="MMDCCCLXXII"; allNumeralsumerals[2872]="MMDCCCLXXIII"; allNumeralsumerals[2873]="MMDCCCLXXIV"; allNumeralsumerals[2874]="MMDCCCLXXV"; allNumeralsumerals[2875]="MMDCCCLXXVI"; allNumeralsumerals[2876]="MMDCCCLXXVII"; allNumeralsumerals[2877]="MMDCCCLXXVIII"; allNumeralsumerals[2878]="MMDCCCLXXIX"; allNumeralsumerals[2879]="MMDCCCLXXX"; allNumeralsumerals[2880]="MMDCCCLXXXI"; allNumeralsumerals[2881]="MMDCCCLXXXII"; allNumeralsumerals[2882]="MMDCCCLXXXIII"; allNumeralsumerals[2883]="MMDCCCLXXXIV"; allNumeralsumerals[2884]="MMDCCCLXXXV"; allNumeralsumerals[2885]="MMDCCCLXXXVI"; allNumeralsumerals[2886]="MMDCCCLXXXVII"; allNumeralsumerals[2887]="MMDCCCLXXXVIII"; allNumeralsumerals[2888]="MMDCCCLXXXIX"; allNumeralsumerals[2889]="MMDCCCXC"; allNumeralsumerals[2890]="MMDCCCXCI"; allNumeralsumerals[2891]="MMDCCCXCII"; allNumeralsumerals[2892]="MMDCCCXCIII"; allNumeralsumerals[2893]="MMDCCCXCIV"; allNumeralsumerals[2894]="MMDCCCXCV"; allNumeralsumerals[2895]="MMDCCCXCVI"; allNumeralsumerals[2896]="MMDCCCXCVII"; allNumeralsumerals[2897]="MMDCCCXCVIII"; allNumeralsumerals[2898]="MMDCCCXCIX"; allNumeralsumerals[2899]="MMCM"; allNumeralsumerals[2900]="MMCMI"; allNumeralsumerals[2901]="MMCMII"; allNumeralsumerals[2902]="MMCMIII"; allNumeralsumerals[2903]="MMCMIV"; allNumeralsumerals[2904]="MMCMV"; allNumeralsumerals[2905]="MMCMVI"; allNumeralsumerals[2906]="MMCMVII"; allNumeralsumerals[2907]="MMCMVIII"; allNumeralsumerals[2908]="MMCMIX"; allNumeralsumerals[2909]="MMCMX"; allNumeralsumerals[2910]="MMCMXI"; allNumeralsumerals[2911]="MMCMXII"; allNumeralsumerals[2912]="MMCMXIII"; allNumeralsumerals[2913]="MMCMXIV"; allNumeralsumerals[2914]="MMCMXV"; allNumeralsumerals[2915]="MMCMXVI"; allNumeralsumerals[2916]="MMCMXVII"; allNumeralsumerals[2917]="MMCMXVIII"; allNumeralsumerals[2918]="MMCMXIX"; allNumeralsumerals[2919]="MMCMXX"; allNumeralsumerals[2920]="MMCMXXI"; allNumeralsumerals[2921]="MMCMXXII"; allNumeralsumerals[2922]="MMCMXXIII"; allNumeralsumerals[2923]="MMCMXXIV"; allNumeralsumerals[2924]="MMCMXXV"; allNumeralsumerals[2925]="MMCMXXVI"; allNumeralsumerals[2926]="MMCMXXVII"; allNumeralsumerals[2927]="MMCMXXVIII"; allNumeralsumerals[2928]="MMCMXXIX"; allNumeralsumerals[2929]="MMCMXXX"; allNumeralsumerals[2930]="MMCMXXXI"; allNumeralsumerals[2931]="MMCMXXXII"; allNumeralsumerals[2932]="MMCMXXXIII"; allNumeralsumerals[2933]="MMCMXXXIV"; allNumeralsumerals[2934]="MMCMXXXV"; allNumeralsumerals[2935]="MMCMXXXVI"; allNumeralsumerals[2936]="MMCMXXXVII"; allNumeralsumerals[2937]="MMCMXXXVIII"; allNumeralsumerals[2938]="MMCMXXXIX"; allNumeralsumerals[2939]="MMCMXL"; allNumeralsumerals[2940]="MMCMXLI"; allNumeralsumerals[2941]="MMCMXLII"; allNumeralsumerals[2942]="MMCMXLIII"; allNumeralsumerals[2943]="MMCMXLIV"; allNumeralsumerals[2944]="MMCMXLV"; allNumeralsumerals[2945]="MMCMXLVI"; allNumeralsumerals[2946]="MMCMXLVII"; allNumeralsumerals[2947]="MMCMXLVIII"; allNumeralsumerals[2948]="MMCMXLIX"; allNumeralsumerals[2949]="MMCML"; allNumeralsumerals[2950]="MMCMLI"; allNumeralsumerals[2951]="MMCMLII"; allNumeralsumerals[2952]="MMCMLIII"; allNumeralsumerals[2953]="MMCMLIV"; allNumeralsumerals[2954]="MMCMLV"; allNumeralsumerals[2955]="MMCMLVI"; allNumeralsumerals[2956]="MMCMLVII"; allNumeralsumerals[2957]="MMCMLVIII"; allNumeralsumerals[2958]="MMCMLIX"; allNumeralsumerals[2959]="MMCMLX"; allNumeralsumerals[2960]="MMCMLXI"; allNumeralsumerals[2961]="MMCMLXII"; allNumeralsumerals[2962]="MMCMLXIII"; allNumeralsumerals[2963]="MMCMLXIV"; allNumeralsumerals[2964]="MMCMLXV"; allNumeralsumerals[2965]="MMCMLXVI"; allNumeralsumerals[2966]="MMCMLXVII"; allNumeralsumerals[2967]="MMCMLXVIII"; allNumeralsumerals[2968]="MMCMLXIX"; allNumeralsumerals[2969]="MMCMLXX"; allNumeralsumerals[2970]="MMCMLXXI"; allNumeralsumerals[2971]="MMCMLXXII"; allNumeralsumerals[2972]="MMCMLXXIII"; allNumeralsumerals[2973]="MMCMLXXIV"; allNumeralsumerals[2974]="MMCMLXXV"; allNumeralsumerals[2975]="MMCMLXXVI"; allNumeralsumerals[2976]="MMCMLXXVII"; allNumeralsumerals[2977]="MMCMLXXVIII"; allNumeralsumerals[2978]="MMCMLXXIX"; allNumeralsumerals[2979]="MMCMLXXX"; allNumeralsumerals[2980]="MMCMLXXXI"; allNumeralsumerals[2981]="MMCMLXXXII"; allNumeralsumerals[2982]="MMCMLXXXIII"; allNumeralsumerals[2983]="MMCMLXXXIV"; allNumeralsumerals[2984]="MMCMLXXXV"; allNumeralsumerals[2985]="MMCMLXXXVI"; allNumeralsumerals[2986]="MMCMLXXXVII"; allNumeralsumerals[2987]="MMCMLXXXVIII"; allNumeralsumerals[2988]="MMCMLXXXIX"; allNumeralsumerals[2989]="MMCMXC"; allNumeralsumerals[2990]="MMCMXCI"; allNumeralsumerals[2991]="MMCMXCII"; allNumeralsumerals[2992]="MMCMXCIII"; allNumeralsumerals[2993]="MMCMXCIV"; allNumeralsumerals[2994]="MMCMXCV"; allNumeralsumerals[2995]="MMCMXCVI"; allNumeralsumerals[2996]="MMCMXCVII"; allNumeralsumerals[2997]="MMCMXCVIII"; allNumeralsumerals[2998]="MMCMXCIX"; allNumeralsumerals[2999]="MMM"; allNumeralsumerals[3000]="MMMI"; allNumeralsumerals[3001]="MMMII"; allNumeralsumerals[3002]="MMMIII"; allNumeralsumerals[3003]="MMMIV"; allNumeralsumerals[3004]="MMMV"; allNumeralsumerals[3005]="MMMVI"; allNumeralsumerals[3006]="MMMVII"; allNumeralsumerals[3007]="MMMVIII"; allNumeralsumerals[3008]="MMMIX"; allNumeralsumerals[3009]="MMMX"; allNumeralsumerals[3010]="MMMXI"; allNumeralsumerals[3011]="MMMXII"; allNumeralsumerals[3012]="MMMXIII"; allNumeralsumerals[3013]="MMMXIV"; allNumeralsumerals[3014]="MMMXV"; allNumeralsumerals[3015]="MMMXVI"; allNumeralsumerals[3016]="MMMXVII"; allNumeralsumerals[3017]="MMMXVIII"; allNumeralsumerals[3018]="MMMXIX"; allNumeralsumerals[3019]="MMMXX"; allNumeralsumerals[3020]="MMMXXI"; allNumeralsumerals[3021]="MMMXXII"; allNumeralsumerals[3022]="MMMXXIII"; allNumeralsumerals[3023]="MMMXXIV"; allNumeralsumerals[3024]="MMMXXV"; allNumeralsumerals[3025]="MMMXXVI"; allNumeralsumerals[3026]="MMMXXVII"; allNumeralsumerals[3027]="MMMXXVIII"; allNumeralsumerals[3028]="MMMXXIX"; allNumeralsumerals[3029]="MMMXXX"; allNumeralsumerals[3030]="MMMXXXI"; allNumeralsumerals[3031]="MMMXXXII"; allNumeralsumerals[3032]="MMMXXXIII"; allNumeralsumerals[3033]="MMMXXXIV"; allNumeralsumerals[3034]="MMMXXXV"; allNumeralsumerals[3035]="MMMXXXVI"; allNumeralsumerals[3036]="MMMXXXVII"; allNumeralsumerals[3037]="MMMXXXVIII"; allNumeralsumerals[3038]="MMMXXXIX"; allNumeralsumerals[3039]="MMMXL"; allNumeralsumerals[3040]="MMMXLI"; allNumeralsumerals[3041]="MMMXLII"; allNumeralsumerals[3042]="MMMXLIII"; allNumeralsumerals[3043]="MMMXLIV"; allNumeralsumerals[3044]="MMMXLV"; allNumeralsumerals[3045]="MMMXLVI"; allNumeralsumerals[3046]="MMMXLVII"; allNumeralsumerals[3047]="MMMXLVIII"; allNumeralsumerals[3048]="MMMXLIX"; allNumeralsumerals[3049]="MMML"; allNumeralsumerals[3050]="MMMLI"; allNumeralsumerals[3051]="MMMLII"; allNumeralsumerals[3052]="MMMLIII"; allNumeralsumerals[3053]="MMMLIV"; allNumeralsumerals[3054]="MMMLV"; allNumeralsumerals[3055]="MMMLVI"; allNumeralsumerals[3056]="MMMLVII"; allNumeralsumerals[3057]="MMMLVIII"; allNumeralsumerals[3058]="MMMLIX"; allNumeralsumerals[3059]="MMMLX"; allNumeralsumerals[3060]="MMMLXI"; allNumeralsumerals[3061]="MMMLXII"; allNumeralsumerals[3062]="MMMLXIII"; allNumeralsumerals[3063]="MMMLXIV"; allNumeralsumerals[3064]="MMMLXV"; allNumeralsumerals[3065]="MMMLXVI"; allNumeralsumerals[3066]="MMMLXVII"; allNumeralsumerals[3067]="MMMLXVIII"; allNumeralsumerals[3068]="MMMLXIX"; allNumeralsumerals[3069]="MMMLXX"; allNumeralsumerals[3070]="MMMLXXI"; allNumeralsumerals[3071]="MMMLXXII"; allNumeralsumerals[3072]="MMMLXXIII"; allNumeralsumerals[3073]="MMMLXXIV"; allNumeralsumerals[3074]="MMMLXXV"; allNumeralsumerals[3075]="MMMLXXVI"; allNumeralsumerals[3076]="MMMLXXVII"; allNumeralsumerals[3077]="MMMLXXVIII"; allNumeralsumerals[3078]="MMMLXXIX"; allNumeralsumerals[3079]="MMMLXXX"; allNumeralsumerals[3080]="MMMLXXXI"; allNumeralsumerals[3081]="MMMLXXXII"; allNumeralsumerals[3082]="MMMLXXXIII"; allNumeralsumerals[3083]="MMMLXXXIV"; allNumeralsumerals[3084]="MMMLXXXV"; allNumeralsumerals[3085]="MMMLXXXVI"; allNumeralsumerals[3086]="MMMLXXXVII"; allNumeralsumerals[3087]="MMMLXXXVIII"; allNumeralsumerals[3088]="MMMLXXXIX"; allNumeralsumerals[3089]="MMMXC"; allNumeralsumerals[3090]="MMMXCI"; allNumeralsumerals[3091]="MMMXCII"; allNumeralsumerals[3092]="MMMXCIII"; allNumeralsumerals[3093]="MMMXCIV"; allNumeralsumerals[3094]="MMMXCV"; allNumeralsumerals[3095]="MMMXCVI"; allNumeralsumerals[3096]="MMMXCVII"; allNumeralsumerals[3097]="MMMXCVIII"; allNumeralsumerals[3098]="MMMXCIX"; allNumeralsumerals[3099]="MMMC"; allNumeralsumerals[3100]="MMMCI"; allNumeralsumerals[3101]="MMMCII"; allNumeralsumerals[3102]="MMMCIII"; allNumeralsumerals[3103]="MMMCIV"; allNumeralsumerals[3104]="MMMCV"; allNumeralsumerals[3105]="MMMCVI"; allNumeralsumerals[3106]="MMMCVII"; allNumeralsumerals[3107]="MMMCVIII"; allNumeralsumerals[3108]="MMMCIX"; allNumeralsumerals[3109]="MMMCX"; allNumeralsumerals[3110]="MMMCXI"; allNumeralsumerals[3111]="MMMCXII"; allNumeralsumerals[3112]="MMMCXIII"; allNumeralsumerals[3113]="MMMCXIV"; allNumeralsumerals[3114]="MMMCXV"; allNumeralsumerals[3115]="MMMCXVI"; allNumeralsumerals[3116]="MMMCXVII"; allNumeralsumerals[3117]="MMMCXVIII"; allNumeralsumerals[3118]="MMMCXIX"; allNumeralsumerals[3119]="MMMCXX"; allNumeralsumerals[3120]="MMMCXXI"; allNumeralsumerals[3121]="MMMCXXII"; allNumeralsumerals[3122]="MMMCXXIII"; allNumeralsumerals[3123]="MMMCXXIV"; allNumeralsumerals[3124]="MMMCXXV"; allNumeralsumerals[3125]="MMMCXXVI"; allNumeralsumerals[3126]="MMMCXXVII"; allNumeralsumerals[3127]="MMMCXXVIII"; allNumeralsumerals[3128]="MMMCXXIX"; allNumeralsumerals[3129]="MMMCXXX"; allNumeralsumerals[3130]="MMMCXXXI"; allNumeralsumerals[3131]="MMMCXXXII"; allNumeralsumerals[3132]="MMMCXXXIII"; allNumeralsumerals[3133]="MMMCXXXIV"; allNumeralsumerals[3134]="MMMCXXXV"; allNumeralsumerals[3135]="MMMCXXXVI"; allNumeralsumerals[3136]="MMMCXXXVII"; allNumeralsumerals[3137]="MMMCXXXVIII"; allNumeralsumerals[3138]="MMMCXXXIX"; allNumeralsumerals[3139]="MMMCXL"; allNumeralsumerals[3140]="MMMCXLI"; allNumeralsumerals[3141]="MMMCXLII"; allNumeralsumerals[3142]="MMMCXLIII"; allNumeralsumerals[3143]="MMMCXLIV"; allNumeralsumerals[3144]="MMMCXLV"; allNumeralsumerals[3145]="MMMCXLVI"; allNumeralsumerals[3146]="MMMCXLVII"; allNumeralsumerals[3147]="MMMCXLVIII"; allNumeralsumerals[3148]="MMMCXLIX"; allNumeralsumerals[3149]="MMMCL"; allNumeralsumerals[3150]="MMMCLI"; allNumeralsumerals[3151]="MMMCLII"; allNumeralsumerals[3152]="MMMCLIII"; allNumeralsumerals[3153]="MMMCLIV"; allNumeralsumerals[3154]="MMMCLV"; allNumeralsumerals[3155]="MMMCLVI"; allNumeralsumerals[3156]="MMMCLVII"; allNumeralsumerals[3157]="MMMCLVIII"; allNumeralsumerals[3158]="MMMCLIX"; allNumeralsumerals[3159]="MMMCLX"; allNumeralsumerals[3160]="MMMCLXI"; allNumeralsumerals[3161]="MMMCLXII"; allNumeralsumerals[3162]="MMMCLXIII"; allNumeralsumerals[3163]="MMMCLXIV"; allNumeralsumerals[3164]="MMMCLXV"; allNumeralsumerals[3165]="MMMCLXVI"; allNumeralsumerals[3166]="MMMCLXVII"; allNumeralsumerals[3167]="MMMCLXVIII"; allNumeralsumerals[3168]="MMMCLXIX"; allNumeralsumerals[3169]="MMMCLXX"; allNumeralsumerals[3170]="MMMCLXXI"; allNumeralsumerals[3171]="MMMCLXXII"; allNumeralsumerals[3172]="MMMCLXXIII"; allNumeralsumerals[3173]="MMMCLXXIV"; allNumeralsumerals[3174]="MMMCLXXV"; allNumeralsumerals[3175]="MMMCLXXVI"; allNumeralsumerals[3176]="MMMCLXXVII"; allNumeralsumerals[3177]="MMMCLXXVIII"; allNumeralsumerals[3178]="MMMCLXXIX"; allNumeralsumerals[3179]="MMMCLXXX"; allNumeralsumerals[3180]="MMMCLXXXI"; allNumeralsumerals[3181]="MMMCLXXXII"; allNumeralsumerals[3182]="MMMCLXXXIII"; allNumeralsumerals[3183]="MMMCLXXXIV"; allNumeralsumerals[3184]="MMMCLXXXV"; allNumeralsumerals[3185]="MMMCLXXXVI"; allNumeralsumerals[3186]="MMMCLXXXVII"; allNumeralsumerals[3187]="MMMCLXXXVIII"; allNumeralsumerals[3188]="MMMCLXXXIX"; allNumeralsumerals[3189]="MMMCXC"; allNumeralsumerals[3190]="MMMCXCI"; allNumeralsumerals[3191]="MMMCXCII"; allNumeralsumerals[3192]="MMMCXCIII"; allNumeralsumerals[3193]="MMMCXCIV"; allNumeralsumerals[3194]="MMMCXCV"; allNumeralsumerals[3195]="MMMCXCVI"; allNumeralsumerals[3196]="MMMCXCVII"; allNumeralsumerals[3197]="MMMCXCVIII"; allNumeralsumerals[3198]="MMMCXCIX"; allNumeralsumerals[3199]="MMMCC"; allNumeralsumerals[3200]="MMMCCI"; allNumeralsumerals[3201]="MMMCCII"; allNumeralsumerals[3202]="MMMCCIII"; allNumeralsumerals[3203]="MMMCCIV"; allNumeralsumerals[3204]="MMMCCV"; allNumeralsumerals[3205]="MMMCCVI"; allNumeralsumerals[3206]="MMMCCVII"; allNumeralsumerals[3207]="MMMCCVIII"; allNumeralsumerals[3208]="MMMCCIX"; allNumeralsumerals[3209]="MMMCCX"; allNumeralsumerals[3210]="MMMCCXI"; allNumeralsumerals[3211]="MMMCCXII"; allNumeralsumerals[3212]="MMMCCXIII"; allNumeralsumerals[3213]="MMMCCXIV"; allNumeralsumerals[3214]="MMMCCXV"; allNumeralsumerals[3215]="MMMCCXVI"; allNumeralsumerals[3216]="MMMCCXVII"; allNumeralsumerals[3217]="MMMCCXVIII"; allNumeralsumerals[3218]="MMMCCXIX"; allNumeralsumerals[3219]="MMMCCXX"; allNumeralsumerals[3220]="MMMCCXXI"; allNumeralsumerals[3221]="MMMCCXXII"; allNumeralsumerals[3222]="MMMCCXXIII"; allNumeralsumerals[3223]="MMMCCXXIV"; allNumeralsumerals[3224]="MMMCCXXV"; allNumeralsumerals[3225]="MMMCCXXVI"; allNumeralsumerals[3226]="MMMCCXXVII"; allNumeralsumerals[3227]="MMMCCXXVIII"; allNumeralsumerals[3228]="MMMCCXXIX"; allNumeralsumerals[3229]="MMMCCXXX"; allNumeralsumerals[3230]="MMMCCXXXI"; allNumeralsumerals[3231]="MMMCCXXXII"; allNumeralsumerals[3232]="MMMCCXXXIII"; allNumeralsumerals[3233]="MMMCCXXXIV"; allNumeralsumerals[3234]="MMMCCXXXV"; allNumeralsumerals[3235]="MMMCCXXXVI"; allNumeralsumerals[3236]="MMMCCXXXVII"; allNumeralsumerals[3237]="MMMCCXXXVIII"; allNumeralsumerals[3238]="MMMCCXXXIX"; allNumeralsumerals[3239]="MMMCCXL"; allNumeralsumerals[3240]="MMMCCXLI"; allNumeralsumerals[3241]="MMMCCXLII"; allNumeralsumerals[3242]="MMMCCXLIII"; allNumeralsumerals[3243]="MMMCCXLIV"; allNumeralsumerals[3244]="MMMCCXLV"; allNumeralsumerals[3245]="MMMCCXLVI"; allNumeralsumerals[3246]="MMMCCXLVII"; allNumeralsumerals[3247]="MMMCCXLVIII"; allNumeralsumerals[3248]="MMMCCXLIX"; allNumeralsumerals[3249]="MMMCCL"; allNumeralsumerals[3250]="MMMCCLI"; allNumeralsumerals[3251]="MMMCCLII"; allNumeralsumerals[3252]="MMMCCLIII"; allNumeralsumerals[3253]="MMMCCLIV"; allNumeralsumerals[3254]="MMMCCLV"; allNumeralsumerals[3255]="MMMCCLVI"; allNumeralsumerals[3256]="MMMCCLVII"; allNumeralsumerals[3257]="MMMCCLVIII"; allNumeralsumerals[3258]="MMMCCLIX"; allNumeralsumerals[3259]="MMMCCLX"; allNumeralsumerals[3260]="MMMCCLXI"; allNumeralsumerals[3261]="MMMCCLXII"; allNumeralsumerals[3262]="MMMCCLXIII"; allNumeralsumerals[3263]="MMMCCLXIV"; allNumeralsumerals[3264]="MMMCCLXV"; allNumeralsumerals[3265]="MMMCCLXVI"; allNumeralsumerals[3266]="MMMCCLXVII"; allNumeralsumerals[3267]="MMMCCLXVIII"; allNumeralsumerals[3268]="MMMCCLXIX"; allNumeralsumerals[3269]="MMMCCLXX"; allNumeralsumerals[3270]="MMMCCLXXI"; allNumeralsumerals[3271]="MMMCCLXXII"; allNumeralsumerals[3272]="MMMCCLXXIII"; allNumeralsumerals[3273]="MMMCCLXXIV"; allNumeralsumerals[3274]="MMMCCLXXV"; allNumeralsumerals[3275]="MMMCCLXXVI"; allNumeralsumerals[3276]="MMMCCLXXVII"; allNumeralsumerals[3277]="MMMCCLXXVIII"; allNumeralsumerals[3278]="MMMCCLXXIX"; allNumeralsumerals[3279]="MMMCCLXXX"; allNumeralsumerals[3280]="MMMCCLXXXI"; allNumeralsumerals[3281]="MMMCCLXXXII"; allNumeralsumerals[3282]="MMMCCLXXXIII"; allNumeralsumerals[3283]="MMMCCLXXXIV"; allNumeralsumerals[3284]="MMMCCLXXXV"; allNumeralsumerals[3285]="MMMCCLXXXVI"; allNumeralsumerals[3286]="MMMCCLXXXVII"; allNumeralsumerals[3287]="MMMCCLXXXVIII"; allNumeralsumerals[3288]="MMMCCLXXXIX"; allNumeralsumerals[3289]="MMMCCXC"; allNumeralsumerals[3290]="MMMCCXCI"; allNumeralsumerals[3291]="MMMCCXCII"; allNumeralsumerals[3292]="MMMCCXCIII"; allNumeralsumerals[3293]="MMMCCXCIV"; allNumeralsumerals[3294]="MMMCCXCV"; allNumeralsumerals[3295]="MMMCCXCVI"; allNumeralsumerals[3296]="MMMCCXCVII"; allNumeralsumerals[3297]="MMMCCXCVIII"; allNumeralsumerals[3298]="MMMCCXCIX"; allNumeralsumerals[3299]="MMMCCC"; allNumeralsumerals[3300]="MMMCCCI"; allNumeralsumerals[3301]="MMMCCCII"; allNumeralsumerals[3302]="MMMCCCIII"; allNumeralsumerals[3303]="MMMCCCIV"; allNumeralsumerals[3304]="MMMCCCV"; allNumeralsumerals[3305]="MMMCCCVI"; allNumeralsumerals[3306]="MMMCCCVII"; allNumeralsumerals[3307]="MMMCCCVIII"; allNumeralsumerals[3308]="MMMCCCIX"; allNumeralsumerals[3309]="MMMCCCX"; allNumeralsumerals[3310]="MMMCCCXI"; allNumeralsumerals[3311]="MMMCCCXII"; allNumeralsumerals[3312]="MMMCCCXIII"; allNumeralsumerals[3313]="MMMCCCXIV"; allNumeralsumerals[3314]="MMMCCCXV"; allNumeralsumerals[3315]="MMMCCCXVI"; allNumeralsumerals[3316]="MMMCCCXVII"; allNumeralsumerals[3317]="MMMCCCXVIII"; allNumeralsumerals[3318]="MMMCCCXIX"; allNumeralsumerals[3319]="MMMCCCXX"; allNumeralsumerals[3320]="MMMCCCXXI"; allNumeralsumerals[3321]="MMMCCCXXII"; allNumeralsumerals[3322]="MMMCCCXXIII"; allNumeralsumerals[3323]="MMMCCCXXIV"; allNumeralsumerals[3324]="MMMCCCXXV"; allNumeralsumerals[3325]="MMMCCCXXVI"; allNumeralsumerals[3326]="MMMCCCXXVII"; allNumeralsumerals[3327]="MMMCCCXXVIII"; allNumeralsumerals[3328]="MMMCCCXXIX"; allNumeralsumerals[3329]="MMMCCCXXX"; allNumeralsumerals[3330]="MMMCCCXXXI"; allNumeralsumerals[3331]="MMMCCCXXXII"; allNumeralsumerals[3332]="MMMCCCXXXIII"; allNumeralsumerals[3333]="MMMCCCXXXIV"; allNumeralsumerals[3334]="MMMCCCXXXV"; allNumeralsumerals[3335]="MMMCCCXXXVI"; allNumeralsumerals[3336]="MMMCCCXXXVII"; allNumeralsumerals[3337]="MMMCCCXXXVIII"; allNumeralsumerals[3338]="MMMCCCXXXIX"; allNumeralsumerals[3339]="MMMCCCXL"; allNumeralsumerals[3340]="MMMCCCXLI"; allNumeralsumerals[3341]="MMMCCCXLII"; allNumeralsumerals[3342]="MMMCCCXLIII"; allNumeralsumerals[3343]="MMMCCCXLIV"; allNumeralsumerals[3344]="MMMCCCXLV"; allNumeralsumerals[3345]="MMMCCCXLVI"; allNumeralsumerals[3346]="MMMCCCXLVII"; allNumeralsumerals[3347]="MMMCCCXLVIII"; allNumeralsumerals[3348]="MMMCCCXLIX"; allNumeralsumerals[3349]="MMMCCCL"; allNumeralsumerals[3350]="MMMCCCLI"; allNumeralsumerals[3351]="MMMCCCLII"; allNumeralsumerals[3352]="MMMCCCLIII"; allNumeralsumerals[3353]="MMMCCCLIV"; allNumeralsumerals[3354]="MMMCCCLV"; allNumeralsumerals[3355]="MMMCCCLVI"; allNumeralsumerals[3356]="MMMCCCLVII"; allNumeralsumerals[3357]="MMMCCCLVIII"; allNumeralsumerals[3358]="MMMCCCLIX"; allNumeralsumerals[3359]="MMMCCCLX"; allNumeralsumerals[3360]="MMMCCCLXI"; allNumeralsumerals[3361]="MMMCCCLXII"; allNumeralsumerals[3362]="MMMCCCLXIII"; allNumeralsumerals[3363]="MMMCCCLXIV"; allNumeralsumerals[3364]="MMMCCCLXV"; allNumeralsumerals[3365]="MMMCCCLXVI"; allNumeralsumerals[3366]="MMMCCCLXVII"; allNumeralsumerals[3367]="MMMCCCLXVIII"; allNumeralsumerals[3368]="MMMCCCLXIX"; allNumeralsumerals[3369]="MMMCCCLXX"; allNumeralsumerals[3370]="MMMCCCLXXI"; allNumeralsumerals[3371]="MMMCCCLXXII"; allNumeralsumerals[3372]="MMMCCCLXXIII"; allNumeralsumerals[3373]="MMMCCCLXXIV"; allNumeralsumerals[3374]="MMMCCCLXXV"; allNumeralsumerals[3375]="MMMCCCLXXVI"; allNumeralsumerals[3376]="MMMCCCLXXVII"; allNumeralsumerals[3377]="MMMCCCLXXVIII"; allNumeralsumerals[3378]="MMMCCCLXXIX"; allNumeralsumerals[3379]="MMMCCCLXXX"; allNumeralsumerals[3380]="MMMCCCLXXXI"; allNumeralsumerals[3381]="MMMCCCLXXXII"; allNumeralsumerals[3382]="MMMCCCLXXXIII"; allNumeralsumerals[3383]="MMMCCCLXXXIV"; allNumeralsumerals[3384]="MMMCCCLXXXV"; allNumeralsumerals[3385]="MMMCCCLXXXVI"; allNumeralsumerals[3386]="MMMCCCLXXXVII"; allNumeralsumerals[3387]="MMMCCCLXXXVIII"; allNumeralsumerals[3388]="MMMCCCLXXXIX"; allNumeralsumerals[3389]="MMMCCCXC"; allNumeralsumerals[3390]="MMMCCCXCI"; allNumeralsumerals[3391]="MMMCCCXCII"; allNumeralsumerals[3392]="MMMCCCXCIII"; allNumeralsumerals[3393]="MMMCCCXCIV"; allNumeralsumerals[3394]="MMMCCCXCV"; allNumeralsumerals[3395]="MMMCCCXCVI"; allNumeralsumerals[3396]="MMMCCCXCVII"; allNumeralsumerals[3397]="MMMCCCXCVIII"; allNumeralsumerals[3398]="MMMCCCXCIX"; allNumeralsumerals[3399]="MMMCD"; allNumeralsumerals[3400]="MMMCDI"; allNumeralsumerals[3401]="MMMCDII"; allNumeralsumerals[3402]="MMMCDIII"; allNumeralsumerals[3403]="MMMCDIV"; allNumeralsumerals[3404]="MMMCDV"; allNumeralsumerals[3405]="MMMCDVI"; allNumeralsumerals[3406]="MMMCDVII"; allNumeralsumerals[3407]="MMMCDVIII"; allNumeralsumerals[3408]="MMMCDIX"; allNumeralsumerals[3409]="MMMCDX"; allNumeralsumerals[3410]="MMMCDXI"; allNumeralsumerals[3411]="MMMCDXII"; allNumeralsumerals[3412]="MMMCDXIII"; allNumeralsumerals[3413]="MMMCDXIV"; allNumeralsumerals[3414]="MMMCDXV"; allNumeralsumerals[3415]="MMMCDXVI"; allNumeralsumerals[3416]="MMMCDXVII"; allNumeralsumerals[3417]="MMMCDXVIII"; allNumeralsumerals[3418]="MMMCDXIX"; allNumeralsumerals[3419]="MMMCDXX"; allNumeralsumerals[3420]="MMMCDXXI"; allNumeralsumerals[3421]="MMMCDXXII"; allNumeralsumerals[3422]="MMMCDXXIII"; allNumeralsumerals[3423]="MMMCDXXIV"; allNumeralsumerals[3424]="MMMCDXXV"; allNumeralsumerals[3425]="MMMCDXXVI"; allNumeralsumerals[3426]="MMMCDXXVII"; allNumeralsumerals[3427]="MMMCDXXVIII"; allNumeralsumerals[3428]="MMMCDXXIX"; allNumeralsumerals[3429]="MMMCDXXX"; allNumeralsumerals[3430]="MMMCDXXXI"; allNumeralsumerals[3431]="MMMCDXXXII"; allNumeralsumerals[3432]="MMMCDXXXIII"; allNumeralsumerals[3433]="MMMCDXXXIV"; allNumeralsumerals[3434]="MMMCDXXXV"; allNumeralsumerals[3435]="MMMCDXXXVI"; allNumeralsumerals[3436]="MMMCDXXXVII"; allNumeralsumerals[3437]="MMMCDXXXVIII"; allNumeralsumerals[3438]="MMMCDXXXIX"; allNumeralsumerals[3439]="MMMCDXL"; allNumeralsumerals[3440]="MMMCDXLI"; allNumeralsumerals[3441]="MMMCDXLII"; allNumeralsumerals[3442]="MMMCDXLIII"; allNumeralsumerals[3443]="MMMCDXLIV"; allNumeralsumerals[3444]="MMMCDXLV"; allNumeralsumerals[3445]="MMMCDXLVI"; allNumeralsumerals[3446]="MMMCDXLVII"; allNumeralsumerals[3447]="MMMCDXLVIII"; allNumeralsumerals[3448]="MMMCDXLIX"; allNumeralsumerals[3449]="MMMCDL"; allNumeralsumerals[3450]="MMMCDLI"; allNumeralsumerals[3451]="MMMCDLII"; allNumeralsumerals[3452]="MMMCDLIII"; allNumeralsumerals[3453]="MMMCDLIV"; allNumeralsumerals[3454]="MMMCDLV"; allNumeralsumerals[3455]="MMMCDLVI"; allNumeralsumerals[3456]="MMMCDLVII"; allNumeralsumerals[3457]="MMMCDLVIII"; allNumeralsumerals[3458]="MMMCDLIX"; allNumeralsumerals[3459]="MMMCDLX"; allNumeralsumerals[3460]="MMMCDLXI"; allNumeralsumerals[3461]="MMMCDLXII"; allNumeralsumerals[3462]="MMMCDLXIII"; allNumeralsumerals[3463]="MMMCDLXIV"; allNumeralsumerals[3464]="MMMCDLXV"; allNumeralsumerals[3465]="MMMCDLXVI"; allNumeralsumerals[3466]="MMMCDLXVII"; allNumeralsumerals[3467]="MMMCDLXVIII"; allNumeralsumerals[3468]="MMMCDLXIX"; allNumeralsumerals[3469]="MMMCDLXX"; allNumeralsumerals[3470]="MMMCDLXXI"; allNumeralsumerals[3471]="MMMCDLXXII"; allNumeralsumerals[3472]="MMMCDLXXIII"; allNumeralsumerals[3473]="MMMCDLXXIV"; allNumeralsumerals[3474]="MMMCDLXXV"; allNumeralsumerals[3475]="MMMCDLXXVI"; allNumeralsumerals[3476]="MMMCDLXXVII"; allNumeralsumerals[3477]="MMMCDLXXVIII"; allNumeralsumerals[3478]="MMMCDLXXIX"; allNumeralsumerals[3479]="MMMCDLXXX"; allNumeralsumerals[3480]="MMMCDLXXXI"; allNumeralsumerals[3481]="MMMCDLXXXII"; allNumeralsumerals[3482]="MMMCDLXXXIII"; allNumeralsumerals[3483]="MMMCDLXXXIV"; allNumeralsumerals[3484]="MMMCDLXXXV"; allNumeralsumerals[3485]="MMMCDLXXXVI"; allNumeralsumerals[3486]="MMMCDLXXXVII"; allNumeralsumerals[3487]="MMMCDLXXXVIII"; allNumeralsumerals[3488]="MMMCDLXXXIX"; allNumeralsumerals[3489]="MMMCDXC"; allNumeralsumerals[3490]="MMMCDXCI"; allNumeralsumerals[3491]="MMMCDXCII"; allNumeralsumerals[3492]="MMMCDXCIII"; allNumeralsumerals[3493]="MMMCDXCIV"; allNumeralsumerals[3494]="MMMCDXCV"; allNumeralsumerals[3495]="MMMCDXCVI"; allNumeralsumerals[3496]="MMMCDXCVII"; allNumeralsumerals[3497]="MMMCDXCVIII"; allNumeralsumerals[3498]="MMMCDXCIX"; allNumeralsumerals[3499]="MMMD"; allNumeralsumerals[3500]="MMMDI"; allNumeralsumerals[3501]="MMMDII"; allNumeralsumerals[3502]="MMMDIII"; allNumeralsumerals[3503]="MMMDIV"; allNumeralsumerals[3504]="MMMDV"; allNumeralsumerals[3505]="MMMDVI"; allNumeralsumerals[3506]="MMMDVII"; allNumeralsumerals[3507]="MMMDVIII"; allNumeralsumerals[3508]="MMMDIX"; allNumeralsumerals[3509]="MMMDX"; allNumeralsumerals[3510]="MMMDXI"; allNumeralsumerals[3511]="MMMDXII"; allNumeralsumerals[3512]="MMMDXIII"; allNumeralsumerals[3513]="MMMDXIV"; allNumeralsumerals[3514]="MMMDXV"; allNumeralsumerals[3515]="MMMDXVI"; allNumeralsumerals[3516]="MMMDXVII"; allNumeralsumerals[3517]="MMMDXVIII"; allNumeralsumerals[3518]="MMMDXIX"; allNumeralsumerals[3519]="MMMDXX"; allNumeralsumerals[3520]="MMMDXXI"; allNumeralsumerals[3521]="MMMDXXII"; allNumeralsumerals[3522]="MMMDXXIII"; allNumeralsumerals[3523]="MMMDXXIV"; allNumeralsumerals[3524]="MMMDXXV"; allNumeralsumerals[3525]="MMMDXXVI"; allNumeralsumerals[3526]="MMMDXXVII"; allNumeralsumerals[3527]="MMMDXXVIII"; allNumeralsumerals[3528]="MMMDXXIX"; allNumeralsumerals[3529]="MMMDXXX"; allNumeralsumerals[3530]="MMMDXXXI"; allNumeralsumerals[3531]="MMMDXXXII"; allNumeralsumerals[3532]="MMMDXXXIII"; allNumeralsumerals[3533]="MMMDXXXIV"; allNumeralsumerals[3534]="MMMDXXXV"; allNumeralsumerals[3535]="MMMDXXXVI"; allNumeralsumerals[3536]="MMMDXXXVII"; allNumeralsumerals[3537]="MMMDXXXVIII"; allNumeralsumerals[3538]="MMMDXXXIX"; allNumeralsumerals[3539]="MMMDXL"; allNumeralsumerals[3540]="MMMDXLI"; allNumeralsumerals[3541]="MMMDXLII"; allNumeralsumerals[3542]="MMMDXLIII"; allNumeralsumerals[3543]="MMMDXLIV"; allNumeralsumerals[3544]="MMMDXLV"; allNumeralsumerals[3545]="MMMDXLVI"; allNumeralsumerals[3546]="MMMDXLVII"; allNumeralsumerals[3547]="MMMDXLVIII"; allNumeralsumerals[3548]="MMMDXLIX"; allNumeralsumerals[3549]="MMMDL"; allNumeralsumerals[3550]="MMMDLI"; allNumeralsumerals[3551]="MMMDLII"; allNumeralsumerals[3552]="MMMDLIII"; allNumeralsumerals[3553]="MMMDLIV"; allNumeralsumerals[3554]="MMMDLV"; allNumeralsumerals[3555]="MMMDLVI"; allNumeralsumerals[3556]="MMMDLVII"; allNumeralsumerals[3557]="MMMDLVIII"; allNumeralsumerals[3558]="MMMDLIX"; allNumeralsumerals[3559]="MMMDLX"; allNumeralsumerals[3560]="MMMDLXI"; allNumeralsumerals[3561]="MMMDLXII"; allNumeralsumerals[3562]="MMMDLXIII"; allNumeralsumerals[3563]="MMMDLXIV"; allNumeralsumerals[3564]="MMMDLXV"; allNumeralsumerals[3565]="MMMDLXVI"; allNumeralsumerals[3566]="MMMDLXVII"; allNumeralsumerals[3567]="MMMDLXVIII"; allNumeralsumerals[3568]="MMMDLXIX"; allNumeralsumerals[3569]="MMMDLXX"; allNumeralsumerals[3570]="MMMDLXXI"; allNumeralsumerals[3571]="MMMDLXXII"; allNumeralsumerals[3572]="MMMDLXXIII"; allNumeralsumerals[3573]="MMMDLXXIV"; allNumeralsumerals[3574]="MMMDLXXV"; allNumeralsumerals[3575]="MMMDLXXVI"; allNumeralsumerals[3576]="MMMDLXXVII"; allNumeralsumerals[3577]="MMMDLXXVIII"; allNumeralsumerals[3578]="MMMDLXXIX"; allNumeralsumerals[3579]="MMMDLXXX"; allNumeralsumerals[3580]="MMMDLXXXI"; allNumeralsumerals[3581]="MMMDLXXXII"; allNumeralsumerals[3582]="MMMDLXXXIII"; allNumeralsumerals[3583]="MMMDLXXXIV"; allNumeralsumerals[3584]="MMMDLXXXV"; allNumeralsumerals[3585]="MMMDLXXXVI"; allNumeralsumerals[3586]="MMMDLXXXVII"; allNumeralsumerals[3587]="MMMDLXXXVIII"; allNumeralsumerals[3588]="MMMDLXXXIX"; allNumeralsumerals[3589]="MMMDXC"; allNumeralsumerals[3590]="MMMDXCI"; allNumeralsumerals[3591]="MMMDXCII"; allNumeralsumerals[3592]="MMMDXCIII"; allNumeralsumerals[3593]="MMMDXCIV"; allNumeralsumerals[3594]="MMMDXCV"; allNumeralsumerals[3595]="MMMDXCVI"; allNumeralsumerals[3596]="MMMDXCVII"; allNumeralsumerals[3597]="MMMDXCVIII"; allNumeralsumerals[3598]="MMMDXCIX"; allNumeralsumerals[3599]="MMMDC"; allNumeralsumerals[3600]="MMMDCI"; allNumeralsumerals[3601]="MMMDCII"; allNumeralsumerals[3602]="MMMDCIII"; allNumeralsumerals[3603]="MMMDCIV"; allNumeralsumerals[3604]="MMMDCV"; allNumeralsumerals[3605]="MMMDCVI"; allNumeralsumerals[3606]="MMMDCVII"; allNumeralsumerals[3607]="MMMDCVIII"; allNumeralsumerals[3608]="MMMDCIX"; allNumeralsumerals[3609]="MMMDCX"; allNumeralsumerals[3610]="MMMDCXI"; allNumeralsumerals[3611]="MMMDCXII"; allNumeralsumerals[3612]="MMMDCXIII"; allNumeralsumerals[3613]="MMMDCXIV"; allNumeralsumerals[3614]="MMMDCXV"; allNumeralsumerals[3615]="MMMDCXVI"; allNumeralsumerals[3616]="MMMDCXVII"; allNumeralsumerals[3617]="MMMDCXVIII"; allNumeralsumerals[3618]="MMMDCXIX"; allNumeralsumerals[3619]="MMMDCXX"; allNumeralsumerals[3620]="MMMDCXXI"; allNumeralsumerals[3621]="MMMDCXXII"; allNumeralsumerals[3622]="MMMDCXXIII"; allNumeralsumerals[3623]="MMMDCXXIV"; allNumeralsumerals[3624]="MMMDCXXV"; allNumeralsumerals[3625]="MMMDCXXVI"; allNumeralsumerals[3626]="MMMDCXXVII"; allNumeralsumerals[3627]="MMMDCXXVIII"; allNumeralsumerals[3628]="MMMDCXXIX"; allNumeralsumerals[3629]="MMMDCXXX"; allNumeralsumerals[3630]="MMMDCXXXI"; allNumeralsumerals[3631]="MMMDCXXXII"; allNumeralsumerals[3632]="MMMDCXXXIII"; allNumeralsumerals[3633]="MMMDCXXXIV"; allNumeralsumerals[3634]="MMMDCXXXV"; allNumeralsumerals[3635]="MMMDCXXXVI"; allNumeralsumerals[3636]="MMMDCXXXVII"; allNumeralsumerals[3637]="MMMDCXXXVIII"; allNumeralsumerals[3638]="MMMDCXXXIX"; allNumeralsumerals[3639]="MMMDCXL"; allNumeralsumerals[3640]="MMMDCXLI"; allNumeralsumerals[3641]="MMMDCXLII"; allNumeralsumerals[3642]="MMMDCXLIII"; allNumeralsumerals[3643]="MMMDCXLIV"; allNumeralsumerals[3644]="MMMDCXLV"; allNumeralsumerals[3645]="MMMDCXLVI"; allNumeralsumerals[3646]="MMMDCXLVII"; allNumeralsumerals[3647]="MMMDCXLVIII"; allNumeralsumerals[3648]="MMMDCXLIX"; allNumeralsumerals[3649]="MMMDCL"; allNumeralsumerals[3650]="MMMDCLI"; allNumeralsumerals[3651]="MMMDCLII"; allNumeralsumerals[3652]="MMMDCLIII"; allNumeralsumerals[3653]="MMMDCLIV"; allNumeralsumerals[3654]="MMMDCLV"; allNumeralsumerals[3655]="MMMDCLVI"; allNumeralsumerals[3656]="MMMDCLVII"; allNumeralsumerals[3657]="MMMDCLVIII"; allNumeralsumerals[3658]="MMMDCLIX"; allNumeralsumerals[3659]="MMMDCLX"; allNumeralsumerals[3660]="MMMDCLXI"; allNumeralsumerals[3661]="MMMDCLXII"; allNumeralsumerals[3662]="MMMDCLXIII"; allNumeralsumerals[3663]="MMMDCLXIV"; allNumeralsumerals[3664]="MMMDCLXV"; allNumeralsumerals[3665]="MMMDCLXVI"; allNumeralsumerals[3666]="MMMDCLXVII"; allNumeralsumerals[3667]="MMMDCLXVIII"; allNumeralsumerals[3668]="MMMDCLXIX"; allNumeralsumerals[3669]="MMMDCLXX"; allNumeralsumerals[3670]="MMMDCLXXI"; allNumeralsumerals[3671]="MMMDCLXXII"; allNumeralsumerals[3672]="MMMDCLXXIII"; allNumeralsumerals[3673]="MMMDCLXXIV"; allNumeralsumerals[3674]="MMMDCLXXV"; allNumeralsumerals[3675]="MMMDCLXXVI"; allNumeralsumerals[3676]="MMMDCLXXVII"; allNumeralsumerals[3677]="MMMDCLXXVIII"; allNumeralsumerals[3678]="MMMDCLXXIX"; allNumeralsumerals[3679]="MMMDCLXXX"; allNumeralsumerals[3680]="MMMDCLXXXI"; allNumeralsumerals[3681]="MMMDCLXXXII"; allNumeralsumerals[3682]="MMMDCLXXXIII"; allNumeralsumerals[3683]="MMMDCLXXXIV"; allNumeralsumerals[3684]="MMMDCLXXXV"; allNumeralsumerals[3685]="MMMDCLXXXVI"; allNumeralsumerals[3686]="MMMDCLXXXVII"; allNumeralsumerals[3687]="MMMDCLXXXVIII"; allNumeralsumerals[3688]="MMMDCLXXXIX"; allNumeralsumerals[3689]="MMMDCXC"; allNumeralsumerals[3690]="MMMDCXCI"; allNumeralsumerals[3691]="MMMDCXCII"; allNumeralsumerals[3692]="MMMDCXCIII"; allNumeralsumerals[3693]="MMMDCXCIV"; allNumeralsumerals[3694]="MMMDCXCV"; allNumeralsumerals[3695]="MMMDCXCVI"; allNumeralsumerals[3696]="MMMDCXCVII"; allNumeralsumerals[3697]="MMMDCXCVIII"; allNumeralsumerals[3698]="MMMDCXCIX"; allNumeralsumerals[3699]="MMMDCC"; allNumeralsumerals[3700]="MMMDCCI"; allNumeralsumerals[3701]="MMMDCCII"; allNumeralsumerals[3702]="MMMDCCIII"; allNumeralsumerals[3703]="MMMDCCIV"; allNumeralsumerals[3704]="MMMDCCV"; allNumeralsumerals[3705]="MMMDCCVI"; allNumeralsumerals[3706]="MMMDCCVII"; allNumeralsumerals[3707]="MMMDCCVIII"; allNumeralsumerals[3708]="MMMDCCIX"; allNumeralsumerals[3709]="MMMDCCX"; allNumeralsumerals[3710]="MMMDCCXI"; allNumeralsumerals[3711]="MMMDCCXII"; allNumeralsumerals[3712]="MMMDCCXIII"; allNumeralsumerals[3713]="MMMDCCXIV"; allNumeralsumerals[3714]="MMMDCCXV"; allNumeralsumerals[3715]="MMMDCCXVI"; allNumeralsumerals[3716]="MMMDCCXVII"; allNumeralsumerals[3717]="MMMDCCXVIII"; allNumeralsumerals[3718]="MMMDCCXIX"; allNumeralsumerals[3719]="MMMDCCXX"; allNumeralsumerals[3720]="MMMDCCXXI"; allNumeralsumerals[3721]="MMMDCCXXII"; allNumeralsumerals[3722]="MMMDCCXXIII"; allNumeralsumerals[3723]="MMMDCCXXIV"; allNumeralsumerals[3724]="MMMDCCXXV"; allNumeralsumerals[3725]="MMMDCCXXVI"; allNumeralsumerals[3726]="MMMDCCXXVII"; allNumeralsumerals[3727]="MMMDCCXXVIII"; allNumeralsumerals[3728]="MMMDCCXXIX"; allNumeralsumerals[3729]="MMMDCCXXX"; allNumeralsumerals[3730]="MMMDCCXXXI"; allNumeralsumerals[3731]="MMMDCCXXXII"; allNumeralsumerals[3732]="MMMDCCXXXIII"; allNumeralsumerals[3733]="MMMDCCXXXIV"; allNumeralsumerals[3734]="MMMDCCXXXV"; allNumeralsumerals[3735]="MMMDCCXXXVI"; allNumeralsumerals[3736]="MMMDCCXXXVII"; allNumeralsumerals[3737]="MMMDCCXXXVIII"; allNumeralsumerals[3738]="MMMDCCXXXIX"; allNumeralsumerals[3739]="MMMDCCXL"; allNumeralsumerals[3740]="MMMDCCXLI"; allNumeralsumerals[3741]="MMMDCCXLII"; allNumeralsumerals[3742]="MMMDCCXLIII"; allNumeralsumerals[3743]="MMMDCCXLIV"; allNumeralsumerals[3744]="MMMDCCXLV"; allNumeralsumerals[3745]="MMMDCCXLVI"; allNumeralsumerals[3746]="MMMDCCXLVII"; allNumeralsumerals[3747]="MMMDCCXLVIII"; allNumeralsumerals[3748]="MMMDCCXLIX"; allNumeralsumerals[3749]="MMMDCCL"; allNumeralsumerals[3750]="MMMDCCLI"; allNumeralsumerals[3751]="MMMDCCLII"; allNumeralsumerals[3752]="MMMDCCLIII"; allNumeralsumerals[3753]="MMMDCCLIV"; allNumeralsumerals[3754]="MMMDCCLV"; allNumeralsumerals[3755]="MMMDCCLVI"; allNumeralsumerals[3756]="MMMDCCLVII"; allNumeralsumerals[3757]="MMMDCCLVIII"; allNumeralsumerals[3758]="MMMDCCLIX"; allNumeralsumerals[3759]="MMMDCCLX"; allNumeralsumerals[3760]="MMMDCCLXI"; allNumeralsumerals[3761]="MMMDCCLXII"; allNumeralsumerals[3762]="MMMDCCLXIII"; allNumeralsumerals[3763]="MMMDCCLXIV"; allNumeralsumerals[3764]="MMMDCCLXV"; allNumeralsumerals[3765]="MMMDCCLXVI"; allNumeralsumerals[3766]="MMMDCCLXVII"; allNumeralsumerals[3767]="MMMDCCLXVIII"; allNumeralsumerals[3768]="MMMDCCLXIX"; allNumeralsumerals[3769]="MMMDCCLXX"; allNumeralsumerals[3770]="MMMDCCLXXI"; allNumeralsumerals[3771]="MMMDCCLXXII"; allNumeralsumerals[3772]="MMMDCCLXXIII"; allNumeralsumerals[3773]="MMMDCCLXXIV"; allNumeralsumerals[3774]="MMMDCCLXXV"; allNumeralsumerals[3775]="MMMDCCLXXVI"; allNumeralsumerals[3776]="MMMDCCLXXVII"; allNumeralsumerals[3777]="MMMDCCLXXVIII"; allNumeralsumerals[3778]="MMMDCCLXXIX"; allNumeralsumerals[3779]="MMMDCCLXXX"; allNumeralsumerals[3780]="MMMDCCLXXXI"; allNumeralsumerals[3781]="MMMDCCLXXXII"; allNumeralsumerals[3782]="MMMDCCLXXXIII"; allNumeralsumerals[3783]="MMMDCCLXXXIV"; allNumeralsumerals[3784]="MMMDCCLXXXV"; allNumeralsumerals[3785]="MMMDCCLXXXVI"; allNumeralsumerals[3786]="MMMDCCLXXXVII"; allNumeralsumerals[3787]="MMMDCCLXXXVIII"; allNumeralsumerals[3788]="MMMDCCLXXXIX"; allNumeralsumerals[3789]="MMMDCCXC"; allNumeralsumerals[3790]="MMMDCCXCI"; allNumeralsumerals[3791]="MMMDCCXCII"; allNumeralsumerals[3792]="MMMDCCXCIII"; allNumeralsumerals[3793]="MMMDCCXCIV"; allNumeralsumerals[3794]="MMMDCCXCV"; allNumeralsumerals[3795]="MMMDCCXCVI"; allNumeralsumerals[3796]="MMMDCCXCVII"; allNumeralsumerals[3797]="MMMDCCXCVIII"; allNumeralsumerals[3798]="MMMDCCXCIX"; allNumeralsumerals[3799]="MMMDCCC"; allNumeralsumerals[3800]="MMMDCCCI"; allNumeralsumerals[3801]="MMMDCCCII"; allNumeralsumerals[3802]="MMMDCCCIII"; allNumeralsumerals[3803]="MMMDCCCIV"; allNumeralsumerals[3804]="MMMDCCCV"; allNumeralsumerals[3805]="MMMDCCCVI"; allNumeralsumerals[3806]="MMMDCCCVII"; allNumeralsumerals[3807]="MMMDCCCVIII"; allNumeralsumerals[3808]="MMMDCCCIX"; allNumeralsumerals[3809]="MMMDCCCX"; allNumeralsumerals[3810]="MMMDCCCXI"; allNumeralsumerals[3811]="MMMDCCCXII"; allNumeralsumerals[3812]="MMMDCCCXIII"; allNumeralsumerals[3813]="MMMDCCCXIV"; allNumeralsumerals[3814]="MMMDCCCXV"; allNumeralsumerals[3815]="MMMDCCCXVI"; allNumeralsumerals[3816]="MMMDCCCXVII"; allNumeralsumerals[3817]="MMMDCCCXVIII"; allNumeralsumerals[3818]="MMMDCCCXIX"; allNumeralsumerals[3819]="MMMDCCCXX"; allNumeralsumerals[3820]="MMMDCCCXXI"; allNumeralsumerals[3821]="MMMDCCCXXII"; allNumeralsumerals[3822]="MMMDCCCXXIII"; allNumeralsumerals[3823]="MMMDCCCXXIV"; allNumeralsumerals[3824]="MMMDCCCXXV"; allNumeralsumerals[3825]="MMMDCCCXXVI"; allNumeralsumerals[3826]="MMMDCCCXXVII"; allNumeralsumerals[3827]="MMMDCCCXXVIII"; allNumeralsumerals[3828]="MMMDCCCXXIX"; allNumeralsumerals[3829]="MMMDCCCXXX"; allNumeralsumerals[3830]="MMMDCCCXXXI"; allNumeralsumerals[3831]="MMMDCCCXXXII"; allNumeralsumerals[3832]="MMMDCCCXXXIII"; allNumeralsumerals[3833]="MMMDCCCXXXIV"; allNumeralsumerals[3834]="MMMDCCCXXXV"; allNumeralsumerals[3835]="MMMDCCCXXXVI"; allNumeralsumerals[3836]="MMMDCCCXXXVII"; allNumeralsumerals[3837]="MMMDCCCXXXVIII"; allNumeralsumerals[3838]="MMMDCCCXXXIX"; allNumeralsumerals[3839]="MMMDCCCXL"; allNumeralsumerals[3840]="MMMDCCCXLI"; allNumeralsumerals[3841]="MMMDCCCXLII"; allNumeralsumerals[3842]="MMMDCCCXLIII"; allNumeralsumerals[3843]="MMMDCCCXLIV"; allNumeralsumerals[3844]="MMMDCCCXLV"; allNumeralsumerals[3845]="MMMDCCCXLVI"; allNumeralsumerals[3846]="MMMDCCCXLVII"; allNumeralsumerals[3847]="MMMDCCCXLVIII"; allNumeralsumerals[3848]="MMMDCCCXLIX"; allNumeralsumerals[3849]="MMMDCCCL"; allNumeralsumerals[3850]="MMMDCCCLI"; allNumeralsumerals[3851]="MMMDCCCLII"; allNumeralsumerals[3852]="MMMDCCCLIII"; allNumeralsumerals[3853]="MMMDCCCLIV"; allNumeralsumerals[3854]="MMMDCCCLV"; allNumeralsumerals[3855]="MMMDCCCLVI"; allNumeralsumerals[3856]="MMMDCCCLVII"; allNumeralsumerals[3857]="MMMDCCCLVIII"; allNumeralsumerals[3858]="MMMDCCCLIX"; allNumeralsumerals[3859]="MMMDCCCLX"; allNumeralsumerals[3860]="MMMDCCCLXI"; allNumeralsumerals[3861]="MMMDCCCLXII"; allNumeralsumerals[3862]="MMMDCCCLXIII"; allNumeralsumerals[3863]="MMMDCCCLXIV"; allNumeralsumerals[3864]="MMMDCCCLXV"; allNumeralsumerals[3865]="MMMDCCCLXVI"; allNumeralsumerals[3866]="MMMDCCCLXVII"; allNumeralsumerals[3867]="MMMDCCCLXVIII"; allNumeralsumerals[3868]="MMMDCCCLXIX"; allNumeralsumerals[3869]="MMMDCCCLXX"; allNumeralsumerals[3870]="MMMDCCCLXXI"; allNumeralsumerals[3871]="MMMDCCCLXXII"; allNumeralsumerals[3872]="MMMDCCCLXXIII"; allNumeralsumerals[3873]="MMMDCCCLXXIV"; allNumeralsumerals[3874]="MMMDCCCLXXV"; allNumeralsumerals[3875]="MMMDCCCLXXVI"; allNumeralsumerals[3876]="MMMDCCCLXXVII"; allNumeralsumerals[3877]="MMMDCCCLXXVIII"; allNumeralsumerals[3878]="MMMDCCCLXXIX"; allNumeralsumerals[3879]="MMMDCCCLXXX"; allNumeralsumerals[3880]="MMMDCCCLXXXI"; allNumeralsumerals[3881]="MMMDCCCLXXXII"; allNumeralsumerals[3882]="MMMDCCCLXXXIII"; allNumeralsumerals[3883]="MMMDCCCLXXXIV"; allNumeralsumerals[3884]="MMMDCCCLXXXV"; allNumeralsumerals[3885]="MMMDCCCLXXXVI"; allNumeralsumerals[3886]="MMMDCCCLXXXVII"; allNumeralsumerals[3887]="MMMDCCCLXXXVIII"; allNumeralsumerals[3888]="MMMDCCCLXXXIX"; allNumeralsumerals[3889]="MMMDCCCXC"; allNumeralsumerals[3890]="MMMDCCCXCI"; allNumeralsumerals[3891]="MMMDCCCXCII"; allNumeralsumerals[3892]="MMMDCCCXCIII"; allNumeralsumerals[3893]="MMMDCCCXCIV"; allNumeralsumerals[3894]="MMMDCCCXCV"; allNumeralsumerals[3895]="MMMDCCCXCVI"; allNumeralsumerals[3896]="MMMDCCCXCVII"; allNumeralsumerals[3897]="MMMDCCCXCVIII"; allNumeralsumerals[3898]="MMMDCCCXCIX"; allNumeralsumerals[3899]="MMMCM"; allNumeralsumerals[3900]="MMMCMI"; allNumeralsumerals[3901]="MMMCMII"; allNumeralsumerals[3902]="MMMCMIII"; allNumeralsumerals[3903]="MMMCMIV"; allNumeralsumerals[3904]="MMMCMV"; allNumeralsumerals[3905]="MMMCMVI"; allNumeralsumerals[3906]="MMMCMVII"; allNumeralsumerals[3907]="MMMCMVIII"; allNumeralsumerals[3908]="MMMCMIX"; allNumeralsumerals[3909]="MMMCMX"; allNumeralsumerals[3910]="MMMCMXI"; allNumeralsumerals[3911]="MMMCMXII"; allNumeralsumerals[3912]="MMMCMXIII"; allNumeralsumerals[3913]="MMMCMXIV"; allNumeralsumerals[3914]="MMMCMXV"; allNumeralsumerals[3915]="MMMCMXVI"; allNumeralsumerals[3916]="MMMCMXVII"; allNumeralsumerals[3917]="MMMCMXVIII"; allNumeralsumerals[3918]="MMMCMXIX"; allNumeralsumerals[3919]="MMMCMXX"; allNumeralsumerals[3920]="MMMCMXXI"; allNumeralsumerals[3921]="MMMCMXXII"; allNumeralsumerals[3922]="MMMCMXXIII"; allNumeralsumerals[3923]="MMMCMXXIV"; allNumeralsumerals[3924]="MMMCMXXV"; allNumeralsumerals[3925]="MMMCMXXVI"; allNumeralsumerals[3926]="MMMCMXXVII"; allNumeralsumerals[3927]="MMMCMXXVIII"; allNumeralsumerals[3928]="MMMCMXXIX"; allNumeralsumerals[3929]="MMMCMXXX"; allNumeralsumerals[3930]="MMMCMXXXI"; allNumeralsumerals[3931]="MMMCMXXXII"; allNumeralsumerals[3932]="MMMCMXXXIII"; allNumeralsumerals[3933]="MMMCMXXXIV"; allNumeralsumerals[3934]="MMMCMXXXV"; allNumeralsumerals[3935]="MMMCMXXXVI"; allNumeralsumerals[3936]="MMMCMXXXVII"; allNumeralsumerals[3937]="MMMCMXXXVIII"; allNumeralsumerals[3938]="MMMCMXXXIX"; allNumeralsumerals[3939]="MMMCMXL"; allNumeralsumerals[3940]="MMMCMXLI"; allNumeralsumerals[3941]="MMMCMXLII"; allNumeralsumerals[3942]="MMMCMXLIII"; allNumeralsumerals[3943]="MMMCMXLIV"; allNumeralsumerals[3944]="MMMCMXLV"; allNumeralsumerals[3945]="MMMCMXLVI"; allNumeralsumerals[3946]="MMMCMXLVII"; allNumeralsumerals[3947]="MMMCMXLVIII"; allNumeralsumerals[3948]="MMMCMXLIX"; allNumeralsumerals[3949]="MMMCML"; allNumeralsumerals[3950]="MMMCMLI"; allNumeralsumerals[3951]="MMMCMLII"; allNumeralsumerals[3952]="MMMCMLIII"; allNumeralsumerals[3953]="MMMCMLIV"; allNumeralsumerals[3954]="MMMCMLV"; allNumeralsumerals[3955]="MMMCMLVI"; allNumeralsumerals[3956]="MMMCMLVII"; allNumeralsumerals[3957]="MMMCMLVIII"; allNumeralsumerals[3958]="MMMCMLIX"; allNumeralsumerals[3959]="MMMCMLX"; allNumeralsumerals[3960]="MMMCMLXI"; allNumeralsumerals[3961]="MMMCMLXII"; allNumeralsumerals[3962]="MMMCMLXIII"; allNumeralsumerals[3963]="MMMCMLXIV"; allNumeralsumerals[3964]="MMMCMLXV"; allNumeralsumerals[3965]="MMMCMLXVI"; allNumeralsumerals[3966]="MMMCMLXVII"; allNumeralsumerals[3967]="MMMCMLXVIII"; allNumeralsumerals[3968]="MMMCMLXIX"; allNumeralsumerals[3969]="MMMCMLXX"; allNumeralsumerals[3970]="MMMCMLXXI"; allNumeralsumerals[3971]="MMMCMLXXII"; allNumeralsumerals[3972]="MMMCMLXXIII"; allNumeralsumerals[3973]="MMMCMLXXIV"; allNumeralsumerals[3974]="MMMCMLXXV"; allNumeralsumerals[3975]="MMMCMLXXVI"; allNumeralsumerals[3976]="MMMCMLXXVII"; allNumeralsumerals[3977]="MMMCMLXXVIII"; allNumeralsumerals[3978]="MMMCMLXXIX"; allNumeralsumerals[3979]="MMMCMLXXX"; allNumeralsumerals[3980]="MMMCMLXXXI"; allNumeralsumerals[3981]="MMMCMLXXXII"; allNumeralsumerals[3982]="MMMCMLXXXIII"; allNumeralsumerals[3983]="MMMCMLXXXIV"; allNumeralsumerals[3984]="MMMCMLXXXV"; allNumeralsumerals[3985]="MMMCMLXXXVI"; allNumeralsumerals[3986]="MMMCMLXXXVII"; allNumeralsumerals[3987]="MMMCMLXXXVIII"; allNumeralsumerals[3988]="MMMCMLXXXIX"; allNumeralsumerals[3989]="MMMCMXC"; allNumeralsumerals[3990]="MMMCMXCI"; allNumeralsumerals[3991]="MMMCMXCII"; allNumeralsumerals[3992]="MMMCMXCIII"; allNumeralsumerals[3993]="MMMCMXCIV"; allNumeralsumerals[3994]="MMMCMXCV"; allNumeralsumerals[3995]="MMMCMXCVI"; allNumeralsumerals[3996]="MMMCMXCVII"; allNumeralsumerals[3997]="MMMCMXCVIII"; allNumeralsumerals[3998]="MMMCMXCIX"; */ System.out.println("Welcome to Online IDE!! Happy Coding :)"); char[] acceptedNumerals = new char[]{'M','D','C','L','X', 'V','I'}; //These are all accepted roman numerals int number; //This is set once end user specifies number numerals in their number to be inputted boolean noMatch=true; // this flag is used to check if the numeral entered is a valid one int j; //used to increment the character array containing user input of numeral int count=0; // this keeps track number times end user has entered a character. It can be decremented if it fails validation. Scanner reader=null; // This is used to ascertain how many digits end user wants //reader = new Scanner(System.in); // Reading from System.in char inputtedNumerals[]; int [][] posValues; //for (int z=0; z<500; z++) //SEVERAL OPTION TO SPEED UP TEST CASES //for (int z=1943; z<1944; z++) //SEVERAL OPTION TO SPEED UP TEST CASES //for (int z=0; z<1; z++) //SEVERAL OPTION TO SPEED UP TEST CASES //for (int z=0; z numeralsToString.indexOf(subtractiveNumerals[j])) { //Both these subtractive numerals appear. a case of now checking if range is same System.out.println(subtractiveNumerals[i]); //I want to refrain from using collection, since my entire exercise has been without //need to check if the notation is not already present, add it. //based on screen outputs, need to compare it against j variable... //The logic can be broken down as follows //if the subtractiveNumerals i //the subtractiveNumeralRanges that are outputted screen are as a result of j and ivariable //the i variable deals with //String [] subtractiveNumerals = new String []{IV,IX,XL,XC,CD,CM}; for (int v=0; v=0 && numeralsToString.indexOf(subtractiveNumerals[i]) + 2<=posValues.length-1) { tempA = numeralsToString.indexOf(subtractiveNumerals[i])+2; System.out.println("NUMERAL AFTER NOTATION!"); } // at this point we know that subtractive notations are legitimate, //hence can perform extra step // this ensures if numeral appears before notation, it gets position one place before // it should only also go here lets say for example value //before notation is bigger than range of the subtractive notation // for instance MIV it should not go there. Reason is this would //ensure for such a numeral as MIVC it compares forward as oppose backware // unsure if this logic will hold.. perhaps better to do //if (numeralsToString.indexOf(subtractiveNumerals[i])!=0 if (numeralsToString.indexOf(subtractiveNumerals[i])!=0 /*&& posValues[temp][1]>subtractiveNumeralsRange[i][1] */ ) { tempB = numeralsToString.indexOf(subtractiveNumerals[i])-1; valueBeforeSubtractiveNotation = true; tempBefore= numeralsToString.indexOf(subtractiveNumerals[i]); System.out.println("NUMERAL BEFORE NOTATION!"); } //temp = numeralsToString.indexOf(subtractiveNumerals[i]) + 2; // sets temp to allow comparison 1st with 3rd char System.out.println("vcbvbnm,,"); System.out.println(posValues.length-1); System.out.println(numeralsToString.indexOf(subtractiveNumerals[i])); // NEED MORE LOGIC HERE TO CHANGE HOW TEMP IS GENERATED // FOR INSTANCE WITH XCM temp is one places before than location of index notation //HOWEVER WITH MCM the M is one place before subtractive notation //So need to check in both directions System.out.println("first"); } // this is length of two inputtedNumerals. It has no bearing on above. if (numeralsToString.indexOf(subtractiveNumerals[i])!=-1 && posValues.length==2) //this should allow normal flow of app? { temp = numeralsToString.indexOf(subtractiveNumerals[i]) + 1; System.out.println("second"); } System.out.println("temp is currrentl: " + temp); System.out.println("WWWWWWWWWWWWWWWWWWWWWWWWWWWW"); System.out.println("What is I:" + i); if (temp<=posValues.length && posValues.length>2 ) { // this ensures that there is a value in numeral to compare against // it is set to minumum 3 numerals //This checks XCX first char of subtractivenotation X against 2 positions in main array //System.out.println("B:" + numeralsToString.charAt(temp-1)); //now need to know the range of the subtractive notation and also the non notation // which is either before or after subtractive notation // VERY IMPORTANT //since the code does not include array holding the numeral and its decimal value, switch statement // will need to be used. posValues was declared two dimensional holding. //Also since something like XC, the index will be split in two and lower and upper range will be outputted. //range for subtractive notation switch (subtractiveNumerals[i].charAt(0)) { case 'I': rangeLower=1; break; case 'V': rangeLower=5; break; case 'X': rangeLower=10; break; case 'L': rangeLower=50; break; case 'C': rangeLower=100; break; case 'D': rangeLower=500; break; case 'M': rangeLower=1000; break; default: System.out.println("Do not reach here"); } switch (subtractiveNumerals[i].charAt(1)) { case 'I': rangeUpper=1; break; case 'V': rangeUpper=5; break; case 'X': rangeUpper=10; break; case 'L': rangeUpper=50; break; case 'C': rangeUpper=100; break; case 'D': rangeUpper=500; break; case 'M': rangeUpper=1000; break; default: System.out.println("Do not reach here"); } // This is now the example for XC X X=10 range for XC (is 10-90 ) // So evaluating that value at location is not greater or equal to 10 //if (tempBefore>0) // this is showing there is check backwards //examples would be CCM if (/*subtractiveNumerals[i].charAt(0) == numeralsToString.charAt(tempBefore) &&*/ posValues[tempB][1] <(subtractiveNumeralsRange[i][1]) && tempBefore>tempB) { System.out.println("2. A numeral (a letter) of lower value" + numeralsToString.charAt(tempB) + "(=" + posValues[tempB][1] + ")" + "cannot precede a group of numerals written in subtractive notation,"); System.out.println(subtractiveNumerals[i] + "( ="+ subtractiveNumeralsRange[i][1] +")."); //C CM: A numeral (a letter) of lower value, C ( = 100), cannot precede a group of //numerals written in subtractive notation, CM ( = 900). illegalSubtractive=true; } //temp is set +2 from index of start subtractive notation if (posValues[tempA][1] >=subtractiveNumeralsRange[i][0] && posValues[tempA][1] <=subtractiveNumeralsRange[i][1] && tempA>tempBefore) /*&& posValues.length>2*/ { System.out.println("%*%*%*"); System.out.println("1. The numeral " + numeralsToString.charAt(tempA) + "(=" + posValues[tempA][1] + ") " + " cannot be placed after a group of numerals written in subtractive notation: " + subtractiveNumerals[i]); System.out.println("Of the same range: " + "( = " + subtractiveNumeralsRange[i][0] + "-" + subtractiveNumeralsRange[i][1] + ")."); //The numeral X ( = 10) cannot be placed after a group of numerals written in subtractive notation, XC ( = 90), //of the same range value (10 - 90) illegalSubtractive=true; } // this is now using scenario such as C CM where C (100) appears before CM(subtractive numeral) -range (100-900) // C can not be lower than 900(upper range). It can be equal for scenarios such as MCM (this is valid 1900). // This is using IV C as an EXAMPLE //1 has been subtracted from posValues since it is zero index based //This in the if loop will ensure instances such as M CM are not trapped //However C CM is trapped // RangeUpper!= posValues[temp-1][1] //using real example IVC that ends up in here //this rule has to work in tempB and tempA //example is MIVC since it will pass on MIV section but fail on IVC section // this is looking at perspective of M IV C (examining IV in relation to C) if (subtractiveNumeralsRange[i][1] < posValues[tempA][1] && tempBefore2*/ { System.out.println("%*%*%*"); System.out.println("3ver1. A group of numerals written in subtractive notation, of lower value,"); System.out.println(subtractiveNumerals[i] + " ( = " + (rangeUpper-rangeLower) + "), cannot precede a numeral of larger value, " + numeralsToString.charAt(tempA) + "( = "+posValues[tempA][1]+")."); //IV C: A group of numerals written in subtractive notation, of lower value, IV ( = 4), //cannot precede a numeral of larger value, C ( = 100) //System.out.println("1. The numeral " + numeralsToString.charAt(temp) + "(=" + posValues[temp][1] + ") " + " cannot be placed after a group of numerals written in subtractive notation: " + subtractiveNumerals[i]); //System.out.println("Of the same range: " + "( = " + rangeLower + "-" + rangeUpper + ")."); illegalSubtractive=true; } // this is looking at perspective of M IV C (examining IV in relation to M) if (subtractiveNumeralsRange[i][1] > posValues[tempB][1] && tempBefore>tempB) /*&& posValues.length>2*/ { System.out.println("%*%*%*"); System.out.println("3ver2. A group of numerals written in subtractive notation, of higher value,"); System.out.println(subtractiveNumerals[i] + " ( = " + (rangeUpper-rangeLower) + "), cannot proceed a numeral of lower value, " + numeralsToString.charAt(tempB) + "( = "+posValues[tempB][1]+"."); //IV C: A group of numerals written in subtractive notation, of lower value, IV ( = 4), //cannot precede a numeral of larger value, C ( = 100) illegalSubtractive=true; } // THIS CODE IS REQUIRED FOR EXAMPLE SUCH AS IVC //CAREFUL // this is now checking if such a sequence exists CMM. This is not legal since //subtractive notation CM (900) is less than M (1000). switch (subtractiveNumerals[i]) { case "IV": rule4Single = rule4Single + 4; break; case "IX": rule4Single = rule4Single + 9; break; case "XL": rule4Single = rule4Single + 40; break; case "XC": rule4Single = rule4Single + 90; break; case "CD": rule4Single = rule4Single + 400; break; case "CM": rule4Single = rule4Single + 900; break; default: invalidSubtractiveNumeral = true; } twoSubtractiveNotations=false; singleSubtractiveNotations=true; } processedConversion[numeralsToString.indexOf(subtractiveNumerals[i])]=1; temp = numeralsToString.indexOf(subtractiveNumerals[i]) + 1; processedConversion[temp]=1; } } } // MAIN PROGRAM EXECUTION //this will examine decimal number stored. If identical numerals in consecutive it will add to the total. for (int m=1; m3) // what does this rule mean, first part if (posValues.length>3) // m is current position in the numerals array { // has to be 3 advancing numerals to check if 4 together if (m<=posValues.length-3) // can not check for three in row if last element in array { //if (temp1+2<=posValues.length) //{ // checking for three in row same if (temp1+3<=posValues.length) { for (int counter=0;counter<=posValues.length-3;counter=counter+4) { System.out.println("Value of coutner: " + counter); if (posValues[temp1][1]==posValues[temp1+1][1] && posValues[temp1][1]==posValues[temp1+2][1] && posValues[temp1][1]==posValues[temp1+3][1]) { System.out.println("Four in a row occurrence of: "); illegalFourInARowState=true; System.out.println("********************************************************"); System.out.println("This is temp1 99:" + temp1); System.out.println("********************************************************"); threeInRow = (posValues[temp1][1] * 3) +threeInRow; temp1 = temp1+4; System.out.println("********************************************************"); System.out.println("This is new temp1 :" + temp1); System.out.println("********************************************************"); if (temp1+3>posValues.length) { break; } } } } } } if (!illegalFourInARowState) { System.out.println("Amit Amlani"); if (processedConversion[m]!=1 && processedConversion[m-1]!=1) { rule2total=posValues[m][1]+posValues[m-1][1]; rule2=rule2+rule2total; // they will be totalled if same System.out.println("So far sum:" + rule2); rule2State=true; } valueConsecutiveOccurences[m] = posValues[m][1]; //storing decimal value in array. consecutiveOccurrences=consecutiveOccurrences+2; // valueConsecutiveOccurences[m] this keeps a track of the roman numeral that has been repeating //num++; // this checks if there has already been consecutive occurence of the numeral adjacently //[m][0]=numeral position //[m][1]=decimal if (m!=(posValues.length-1)) { if (valueConsecutiveOccurences[m]==posValues[m+1][1] && processedConversion[m+1]!=1) { System.out.println("does this happen45"); rule2=rule2-(rule2total/2); rule2total=0; } } // NEED TO VERIFY THIS if (illegalThreeInARowState) { rule2=0; } } } //Rule 5: When a Roman numeral is placed after another Roman numeral of greater value, //the result is the sum of the numerals. For example, VIII = 5 + 1 + 1 + 1 = 8, or, //XV = 10 + 5 = 15, // This appears to be where the code has determined if numerals are in some decent order System.out.println("What is value of zeroindexcount: " + zeroIndexCount); if (posValues[m][1]10) { System.out.println("Roman Numeral I(1) " + "("+"numeral index:" + zeroIndexCount + ")" + " can not precede: " + convertNumber(posValues[zeroIndexCount+1][1])); IplacedIncorrect=true; } if (posValues[zeroIndexCount][1]==10 && posValues[zeroIndexCount+1][1]>100) { System.out.println("Roman Numeral X(10) " + "("+"numeral index:" + zeroIndexCount + ")" + " can not precede: " + convertNumber(posValues[zeroIndexCount+1][1])); IplacedIncorrect=true; } if (posValues[zeroIndexCount][1]==50 && posValues[zeroIndexCount+1][1]>=50) { System.out.println("Roman Numeral L(50) " + "("+"numeral index:" + zeroIndexCount + ")" + " can not precede: " + convertNumber(posValues[zeroIndexCount+1][1])); } if (posValues[zeroIndexCount][1]==5 && posValues[zeroIndexCount+1][1]>posValues[zeroIndexCount][1]) { System.out.println("Roman Numeral V(5) " + "("+"numeral index:" + zeroIndexCount + ")" + " can not precede: " + convertNumber(posValues[zeroIndexCount+1][1])); IplacedIncorrect=true; } if (posValues[zeroIndexCount][1]!=5 && posValues[zeroIndexCount][1]!=50 && posValues[zeroIndexCount][1]!=500 && !IplacedIncorrect) { processedConversion[zeroIndexCount]=1; rule6total = posValues[zeroIndexCount+1][1] - posValues[zeroIndexCount][1]; rule6 = rule6total + rule6; rule6total = 0; rule6State=true; } else { System.out.println("Illegal subtractive notation found with V, D or L"); rule5=0; illegalSubtractive=true; } } // Rule 7: When a Roman numeral of a smaller value is placed between two numerals of greater value, //it is subtracted from the numeral on its right. For example, XIV = 10 + (5 - 1) = 14, //or, XIX = 10 + (10 - 1) = 19 System.out.println("Rule 7"); // rule 7 will not stall by rule 4 since the the right hand side character in rule 4 //is always bigger. if (m!=posValues.length && posValues.length>2) // a numeral can not //be in middle if it is the last in the numeral array // it also can not be in middle if the first numeral. Hence using m index notation. { if (processedConversion[m]!=1) { //START FROM HERE AND TEST XI if (m!=posValues.length-1) { if (posValues[m][1]1 || countL>1 || countV>1) { System.out.println("Invalid roman numeral. Numeral V or D or L has occured more than once"); rule3Fail = true; } if (inputtedNumerals.length==2) // checking number with 2 numerals { if (posValues[0][0]==posValues[1][0] && rule3Fail==false) // if values identical straight forward conversion { twoNumerals = posValues[0][1] + posValues[1][1]; System.out.println("Conversion is double:" + (twoNumerals)); //System.out.println("XL: " + posValues[0][1]); processedConversion[0]=1; processedConversion[1]=1; //System.out.println("This is value marked with 1: " + posValues[1][1]); } } // THIS WILL NOW CHECK IF EACH NUMBER HAS OR HAS NOT BEEN PROCESSED IN CHECKING SO far // it is not picking up MM or II // This suggests that they have been marked as processedconversion if (!illegalSubtractive && !IplacedIncorrect && !rule3Fail && !illegalFourInARowState) { //if (runningTotal>0 && unTotal==0 && FlagSet==true) //{ // runningTotal = runningTotal / 2; //} //I believe if there are three subtractive notations, it has to contain a IV or IX, //so I am not checking this for (String n: storeSubtractiveNumerals) { System.out.println("THE NUMERAL: " + n); } System.out.println("************************************ORIGINAL UNTOTAL: " + unTotal); if (isFullstoreThreeSubtractiveNumerals) { //ALL are based on three rules (rule6, rule7, rule2) if (rule6!=0 && rule7!=0 && rule2==0) { //unTotal = (rule5-100) + rule6; //this was also found to be valid, but I broke away from this unTotal = (unTotal-100); System.out.println("THIS CONDITION1"); System.out.println("WHAT IS RUNNING TOTAL: " + runningTotal); System.out.println("WHAT IS untotal: " + unTotal); } //test case for decimal 444 or 1944 if (rule6!=0 && rule7==0 && rule2==0) { unTotal = rule6; System.out.println("THIS CONDITION2"); } //test case for Decimal 2949 if (rule6!=0 && rule7!=0 && rule2!=0) { unTotal = rule2 + rule6; //rule7 can also work System.out.println("THIS CONDITION3"); } } // I feel I need to check the alternating numeral here... //I have presented above all the validations that fail for a numeral above... //This is the final point before a numeral such as below is passed as VALID //when we know its incorrect /* ********************* GRAND TOTAL************* NOTE: Code is designed for up to MMMM=4000 due to notation changes henceforth MMM(C)CDLXIV is a VALID roman numeral runningTotal:404 Not added total:3160 **TOTAL: 3564 *********************************** */ System.out.println("----------------The numeral: " + numeralsToString); int counterNonAdjacentNumerals=0; int valueNumeral=0; int[] valueNumerals = new int[2]; boolean hasFilledNoneAdjacentNumerals=false; boolean hasInvalidNonAdjacent=false; //since we are checking two indexes ahead //the loop has to terminate three indexes from end for (int n=0; n<(numeralsToString.length()-2);n++) { //variable used so that comparison is made once it retrieves two numerals and conversion //to decimal counterNonAdjacentNumerals=0; //we want to run the switch statement for non-adjacent characters //it will run twice total for each inputtedNumerals for (int y=n;y<(n+3);y=y+2) { counterNonAdjacentNumerals++; System.out.println("Retrieving numeral: " + numeralsToString.charAt(y)); //We could have also performed reference against acceptedNumerals array //However using swithc allow us to get the actual numerical value of the numeral. //More relevant screen output switch (numeralsToString.charAt(y)) { case 'I': valueNumeral=1; break; case 'V': valueNumeral=5; break; case 'X': valueNumeral=10; break; case 'L': valueNumeral=50; break; case 'C': valueNumeral=100; break; case 'D': valueNumeral=500; break; case 'M': valueNumeral=1000; break; default: System.out.println("Do not reach here"); } //it stores the first numeral in the array if (counterNonAdjacentNumerals==1) { valueNumerals[0]=valueNumeral; } //it stores second numeral in array else if (counterNonAdjacentNumerals==2) { valueNumerals[1]=valueNumeral; } //at this point, we can to check if //valueNumerals[0] is less than or equal to valueNumerals[1] //System.out.println("VALS0: " + valueNumerals[0]); //System.out.println("VALS1: " + valueNumerals[1]); //System.out.println(counterNonAdjacentNumerals); if (counterNonAdjacentNumerals==2) { //it is ok if the left most numeral is same or greater. //We know MCM is fine for instance or XVI if (valueNumerals[0]>=valueNumerals[1]) { System.out.println("1HERE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!\n"); } //anything else is not allowed such as CXD else { System.out.println("INVALID NUMERAL: " + numeralsToString.charAt(n) + " = " + valueNumerals[0] + "(index: " + y +")" + " is less than: " + numeralsToString.charAt(n+2) + " = " + valueNumerals[1] + "(index: " + (y+2) +")"); hasInvalidNonAdjacent = true; //validNumber=false; System.out.println("2HERE1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!\n"); } } } //reset the variable valueNumerals = new int[2]; hasFilledNoneAdjacentNumerals=false; counterNonAdjacentNumerals=0; //we had to create another boolean and could not set validNumber above. //This is because there might be subsequent numerals which pass above condition } //This is only circumstance we know the numeral is valid. //When it has not had any violations in the above new code if (!hasInvalidNonAdjacent) { validNumber=true; } //variable has been reset now due to other numeralsToString which might be //called as part of the for loop at top of code. hasInvalidNonAdjacent=false; System.out.println("\n\n********************* GRAND TOTAL*************"); System.out.println("NOTE: Code is designed for up to MMMM=4000 due to notation changes henceforth"); System.out.println(numeralsToString + " is a VALID roman numeral"); System.out.println("runningTotal:" + runningTotal); System.out.println("Not added total:" + unTotal ); System.out.println("**TOTAL: " + (runningTotal+unTotal)); System.out.println("**********************************"); //System.exit(0); } if (!validNumber) { System.out.println("\n\n********************* GRAND TOTAL*************"); System.out.println(numeralsToString + " is an INVALID roman numeral"); System.out.println("Address the issues outputted for a valid Roman numeral"); System.out.println("**********************************"); } System.out.println("\n\n\n********************************************"); System.out.println("OLD PROGRAMME LOGIC"); System.out.println("\n********************************************"); System.out.println(numeralsToString + " is the roman numeral"); System.out.println("number of Vs: " + countV); System.out.println("number of Ls: " + countL); System.out.println("number of Ds: " + countD); System.out.println("rule4: " + rule4); System.out.println("rule2: " + rule2); System.out.println("rule4Single: " + rule4Single); System.out.println("rule5: " + rule5); System.out.println("rule6: " + rule6); System.out.println("rule7: " + rule7); System.out.println("threeinarow:" + threeInRow); System.out.println("Untotal:" + unTotal); if (rule3Fail) { System.out.println("More than 2 instances of V, L and D:"); System.out.println("D: " + countD); System.out.println("V: " + countV); System.out.println("L: " + countL); //System.exit(0); } //if (illegalSubtractive && IplacedIncorrect && rule3Fail && illegalFourInARowState) if (!validNumber) { System.out.println(numeralsToString + " is NOT a VALID roman numeral"); System.out.println("Address the issues outputted for a valid Roman numeral"); } boolean hasProcessLegacyTotal=false; if (!illegalSubtractive && !IplacedIncorrect && !illegalThreeInARowState && !rule3Fail && validNumber) { if (unTotal!=0 && rule6!=0 && rule5!=0 && rule4Single!=0 && rule2!=0 && !hasProcessLegacyTotal) { System.out.println("**total1_temp: " + (rule4Single + unTotal)); hasProcessLegacyTotal=true; } if (unTotal!=0 && rule6!=0 && rule5!=0 && rule4Single!=0 && !hasProcessLegacyTotal) { System.out.println("**total1: " + (rule4Single + unTotal + rule5)); hasProcessLegacyTotal=true; } if (unTotal!=0 && rule6==0 && rule5==0 && threeInRow!=0 && !hasProcessLegacyTotal) { System.out.println("**total2_temp: " + (rule4Single + unTotal + threeInRow)); hasProcessLegacyTotal=true; } if (rule4Single!=0 && unTotal!=0 && !hasProcessLegacyTotal) { System.out.println("**total2: " + (rule4Single + unTotal)); hasProcessLegacyTotal=true; } if (rule4Single!=0 && unTotal!=0 && rule2!=0 && !hasProcessLegacyTotal) { System.out.println("**total4_temp: " + (rule4Single + unTotal)); hasProcessLegacyTotal=true; } if (rule4Single==0 && rule2!=0 && rule5!=0 && rule4!=0 && !hasProcessLegacyTotal) { System.out.println("**total4: " + (rule4 + rule2 + rule5)); hasProcessLegacyTotal=true; } if (rule4Single==0 && rule2!=0 && rule5!=0 && rule4!=0 && !hasProcessLegacyTotal) { System.out.println("**total4: " + (rule4 + rule2 + rule5)); hasProcessLegacyTotal=true; } if (unTotal==0 && rule5==0 && rule2==0 && rule4==0 && threeInRow!=0 && !hasProcessLegacyTotal) { System.out.println("**Total5: " + (threeInRow)); hasProcessLegacyTotal=true; } if (unTotal!=0 && rule5!=0 && rule6!=0 && !hasProcessLegacyTotal) { System.out.println("**Total6: " + (unTotal+rule6)); hasProcessLegacyTotal=true; } if (unTotal!=0 && rule5!=0 &&rule2!=0 && !hasProcessLegacyTotal) { System.out.println("**Total6: " + (unTotal)); hasProcessLegacyTotal=true; } if (unTotal!=0 && rule5==0 && rule2==0 && rule4==0 && threeInRow!=0 && !hasProcessLegacyTotal) { System.out.println("**Total7: " + (unTotal+threeInRow)); hasProcessLegacyTotal=true; } if (rule2!=0 && rule4Single==0 && rule5==0 && rule6==0 && threeInRow!=0 && !hasProcessLegacyTotal) { System.out.println("**Total8: " + (threeInRow+rule2)); hasProcessLegacyTotal=true; } if (rule2!=0 && rule4Single==0 && rule5==0 && rule6==0 && unTotal!=0 && !hasProcessLegacyTotal) { System.out.println("**Total9: " + (rule2)); hasProcessLegacyTotal=true; } if (rule2!=0 && rule4Single==0 && rule5==0 && rule6==0 && !hasProcessLegacyTotal) { System.out.println("**Total10: " + rule2); hasProcessLegacyTotal=true; } if (rule4Single!=0 && rule5!=0 && rule6!=0 && !hasProcessLegacyTotal) { System.out.println("**Total11: " + (rule4Single+rule5)); hasProcessLegacyTotal=true; } if (unTotal!=0 && rule5==0 && rule2==0 && rule4==0 && rule4Single==0 && !hasProcessLegacyTotal) { System.out.println("**Total12: " + (unTotal)); hasProcessLegacyTotal=true; } if (unTotal!=0 && rule4!=0 && !hasProcessLegacyTotal) { System.out.println("**Total13: " + (unTotal + rule4)); hasProcessLegacyTotal=true; } if (rule5!=0 && rule6!=0 && unTotal!=0 && !hasProcessLegacyTotal) { System.out.println(numeralsToString + "is an invalid roman numeral"); System.out.println(numeralsToString + "INVESTIGATE CODE OR CONDITIONAL IF LOOPS FOR TOTAL IF ENTER OCCURS"); hasProcessLegacyTotal=true; } if (rule6!=0 && rule5!=0 && !hasProcessLegacyTotal) { System.out.println("**Total14: " + (rule6+rule5)); hasProcessLegacyTotal=true; } if (rule6!=0 && rule2!=0 && !hasProcessLegacyTotal) { System.out.println("**Total 15: " + (rule6+rule2)); hasProcessLegacyTotal=true; } if (rule5!=0 && rule2!=0 && threeInRow==0 && rule4Single!=0 && !hasProcessLegacyTotal) { System.out.println("**Total16: " + (rule5+rule2)); hasProcessLegacyTotal=true; } if (rule5!=0 && rule2!=0 && threeInRow!=0 && !hasProcessLegacyTotal) { System.out.println("**Total17: " + (rule5+rule2)); hasProcessLegacyTotal=true; } if (rule5!=0 && rule2!=0 && !hasProcessLegacyTotal) { System.out.println("**Total18: " + (rule5+rule2)); hasProcessLegacyTotal=true; } if (rule5!=0 && unTotal!=0 && !hasProcessLegacyTotal) { System.out.println("**Total19: " + (rule5+unTotal)); hasProcessLegacyTotal=true; } if (rule5!=0 && rule4!=0 && !hasProcessLegacyTotal) { System.out.println("**Total20: " + (rule5 + rule4)); hasProcessLegacyTotal=true; } if (rule5!=0 && threeInRow!=0 && rule4Single!=0 && !hasProcessLegacyTotal) { System.out.println("**Total21: " + (rule5+threeInRow)); hasProcessLegacyTotal=true; } if (rule5!=0 && threeInRow!=0 && !hasProcessLegacyTotal) { System.out.println("**Total22: " + (rule5+threeInRow)); hasProcessLegacyTotal=true; } if (rule5!=0 && !hasProcessLegacyTotal) { System.out.println("**Total23: " + (rule5)); hasProcessLegacyTotal=true; } if (rule2!=0 && unTotal!=0 && rule4Single!=0 && !hasProcessLegacyTotal) { System.out.println("**Total24: " + (rule2 + unTotal + rule4Single)); hasProcessLegacyTotal=true; } if (rule2!=0 && rule4Single!=0 && !hasProcessLegacyTotal) { System.out.println("**Total25: " + (rule2 + rule4Single)); hasProcessLegacyTotal=true; } if (rule2!=0 && !hasProcessLegacyTotal) { System.out.println("**Total26: " + (twoNumerals)); hasProcessLegacyTotal=true; } if (rule4Single!=0 && !hasProcessLegacyTotal) { System.out.println("**Total27 is: " + (unTotal + rule4Single)); hasProcessLegacyTotal=true; } if (rule4!=0 && !hasProcessLegacyTotal) { System.out.println("**Total28 is: " + (rule4)); hasProcessLegacyTotal=true; } } hasProcessLegacyTotal=false; //System.out.println("this is the overall sum: " + (rule2+rule4Single+rule5+rule6+rule7)); // System.out.println("this is the overall sum: " + (rule5 + rule2)); // This is the best logic found on the internet for roman numeral conversion. // Logic will be coded one by one and see if it works overall /* It is necessary for us to remember the rules for reading and writing Roman numbers in order to avoid mistakes. Here is a list of the basic rules for Roman numerals. Rule 1: When certain numerals are repeated, the number represented by them is their sum. For example, II = 1 + 1 = 2, or XX = 10 + 10 = 20, or, XXX = 10 + 10 + 10 = 30. Rule 2: It is to be noted that no Roman numerals can come together more than 3 times. For example, we cannot write 40 as XXXX Rule 3: The letters V, L, and D are not repeated. Rule 4: Only I, X, and C can be used as subtractive numerals. There can be 6 combinations when we subtract. These are IV = 5 - 1 = 4; IX = 10 - 1 = 9; XL = 50 - 10 = 40; XC = 100 - 10 = 90; CD = 500 - 100 = 400; and CM = 1000 - 100 = 900 Rule 5: When a Roman numeral is placed after another Roman numeral of greater value, the result is the sum of the numerals. For example, VIII = 5 + 1 + 1 + 1 = 8, or, XV = 10 + 5 = 15, Rule 6: When a Roman numeral is placed before another Roman numeral of greater value, the result is the difference between the numerals. For example, IV = 5 - 1 = 4, or, XL = 50 - 10 = 40, or XC = 100 - 10 = 90 Rule 7: When a Roman numeral of a smaller value is placed between two numerals of greater value, it is subtracted from the numeral on its right. For example, XIV = 10 + (5 - 1) = 14, or, XIX = 10 + (10 - 1) = 19 Rule 8: To multiply a number by a factor of 1000 a bar is placed over it. Rule 9: Roman numerals do not follow any place value system. Rule 10: There is no Roman numeral for zero (0). */ } }