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Created October 14, 2021 21:53
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Romain Numeral Addition
const map = {
1: "I",
2: "II",
3: "III",
4: "IV",
5: "V",
6: "VI",
7: "VII",
8: "VIII",
9: "IX",
10: "X",
11: "XI",
12: "XII",
13: "XIII",
14: "XIV",
15: "XV",
16: "XVI",
17: "XVII",
18: "XVIII",
19: "XIX",
20: "XX",
21: "XXI",
22: "XXII",
23: "XXIII",
24: "XXIV",
25: "XXV",
26: "XXVI",
27: "XXVII",
28: "XXVIII",
29: "XXIX",
30: "XXX",
31: "XXXI",
32: "XXXII",
33: "XXXIII",
34: "XXXIV",
35: "XXXV",
36: "XXXVI",
37: "XXXVII",
38: "XXXVIII",
39: "XXXIX",
40: "XL",
41: "XLI",
42: "XLII",
43: "XLIII",
44: "XLIV",
45: "XLV",
46: "XLVI",
47: "XLVII",
48: "XLVIII",
49: "XLIX",
50: "L",
51: "LI",
52: "LII",
53: "LIII",
54: "LIV",
55: "LV",
56: "LVI",
57: "LVII",
58: "LVIII",
59: "LIX",
60: "LX",
61: "LXI",
62: "LXII",
63: "LXIII",
64: "LXIV",
65: "LXV",
66: "LXVI",
67: "LXVII",
68: "LXVIII",
69: "LXIX",
70: "LXX",
71: "LXXI",
72: "LXXII",
73: "LXXIII",
74: "LXXIV",
75: "LXXV",
76: "LXXVI",
77: "LXXVII",
78: "LXXVIII",
79: "LXXIX",
80: "LXXX",
81: "LXXXI",
82: "LXXXII",
83: "LXXXIII",
84: "LXXXIV",
85: "LXXXV",
86: "LXXXVI",
87: "LXXXVII",
88: "LXXXVIII",
89: "LXXXIX",
90: "XC",
91: "XCI",
92: "XCII",
93: "XCIII",
94: "XCIV",
95: "XCV",
96: "XCVI",
97: "XCVII",
98: "XCVIII",
99: "XCIX",
100: "C",
101: "CI",
102: "CII",
103: "CIII",
104: "CIV",
105: "CV",
106: "CVI",
107: "CVII",
108: "CVIII",
109: "CIX",
110: "CX",
111: "CXI",
112: "CXII",
113: "CXIII",
114: "CXIV",
115: "CXV",
116: "CXVI",
117: "CXVII",
118: "CXVIII",
119: "CXIX",
120: "CXX",
121: "CXXI",
122: "CXXII",
123: "CXXIII",
124: "CXXIV",
125: "CXXV",
126: "CXXVI",
127: "CXXVII",
128: "CXXVIII",
129: "CXXIX",
130: "CXXX",
131: "CXXXI",
132: "CXXXII",
133: "CXXXIII",
134: "CXXXIV",
135: "CXXXV",
136: "CXXXVI",
137: "CXXXVII",
138: "CXXXVIII",
139: "CXXXIX",
140: "CXL",
141: "CXLI",
142: "CXLII",
143: "CXLIII",
144: "CXLIV",
145: "CXLV",
146: "CXLVI",
147: "CXLVII",
148: "CXLVIII",
149: "CXLIX",
150: "CL",
151: "CLI",
152: "CLII",
153: "CLIII",
154: "CLIV",
155: "CLV",
156: "CLVI",
157: "CLVII",
158: "CLVIII",
159: "CLIX",
160: "CLX",
161: "CLXI",
162: "CLXII",
163: "CLXIII",
164: "CLXIV",
165: "CLXV",
166: "CLXVI",
167: "CLXVII",
168: "CLXVIII",
169: "CLXIX",
170: "CLXX",
171: "CLXXI",
172: "CLXXII",
173: "CLXXIII",
174: "CLXXIV",
175: "CLXXV",
176: "CLXXVI",
177: "CLXXVII",
178: "CLXXVIII",
179: "CLXXIX",
180: "CLXXX",
181: "CLXXXI",
182: "CLXXXII",
183: "CLXXXIII",
184: "CLXXXIV",
185: "CLXXXV",
186: "CLXXXVI",
187: "CLXXXVII",
188: "CLXXXVIII",
189: "CLXXXIX",
190: "CXC",
191: "CXCI",
192: "CXCII",
193: "CXCIII",
194: "CXCIV",
195: "CXCV",
196: "CXCVI",
197: "CXCVII",
198: "CXCVIII",
199: "CXCIX",
200: "CC",
201: "CCI",
202: "CCII",
203: "CCIII",
204: "CCIV",
205: "CCV",
206: "CCVI",
207: "CCVII",
208: "CCVIII",
209: "CCIX",
210: "CCX",
211: "CCXI",
212: "CCXII",
213: "CCXIII",
214: "CCXIV",
215: "CCXV",
216: "CCXVI",
217: "CCXVII",
218: "CCXVIII",
219: "CCXIX",
220: "CCXX",
221: "CCXXI",
222: "CCXXII",
223: "CCXXIII",
224: "CCXXIV",
225: "CCXXV",
226: "CCXXVI",
227: "CCXXVII",
228: "CCXXVIII",
229: "CCXXIX",
230: "CCXXX",
231: "CCXXXI",
232: "CCXXXII",
233: "CCXXXIII",
234: "CCXXXIV",
235: "CCXXXV",
236: "CCXXXVI",
237: "CCXXXVII",
238: "CCXXXVIII",
239: "CCXXXIX",
240: "CCXL",
241: "CCXLI",
242: "CCXLII",
243: "CCXLIII",
244: "CCXLIV",
245: "CCXLV",
246: "CCXLVI",
247: "CCXLVII",
248: "CCXLVIII",
249: "CCXLIX",
250: "CCL",
251: "CCLI",
252: "CCLII",
253: "CCLIII",
254: "CCLIV",
255: "CCLV",
256: "CCLVI",
257: "CCLVII",
258: "CCLVIII",
259: "CCLIX",
260: "CCLX",
261: "CCLXI",
262: "CCLXII",
263: "CCLXIII",
264: "CCLXIV",
265: "CCLXV",
266: "CCLXVI",
267: "CCLXVII",
268: "CCLXVIII",
269: "CCLXIX",
270: "CCLXX",
271: "CCLXXI",
272: "CCLXXII",
273: "CCLXXIII",
274: "CCLXXIV",
275: "CCLXXV",
276: "CCLXXVI",
277: "CCLXXVII",
278: "CCLXXVIII",
279: "CCLXXIX",
280: "CCLXXX",
281: "CCLXXXI",
282: "CCLXXXII",
283: "CCLXXXIII",
284: "CCLXXXIV",
285: "CCLXXXV",
286: "CCLXXXVI",
287: "CCLXXXVII",
288: "CCLXXXVIII",
289: "CCLXXXIX",
290: "CCXC",
291: "CCXCI",
292: "CCXCII",
293: "CCXCIII",
294: "CCXCIV",
295: "CCXCV",
296: "CCXCVI",
297: "CCXCVII",
298: "CCXCVIII",
299: "CCXCIX",
300: "CCC",
301: "CCCI",
302: "CCCII",
303: "CCCIII",
304: "CCCIV",
305: "CCCV",
306: "CCCVI",
307: "CCCVII",
308: "CCCVIII",
309: "CCCIX",
310: "CCCX",
311: "CCCXI",
312: "CCCXII",
313: "CCCXIII",
314: "CCCXIV",
315: "CCCXV",
316: "CCCXVI",
317: "CCCXVII",
318: "CCCXVIII",
319: "CCCXIX",
320: "CCCXX",
321: "CCCXXI",
322: "CCCXXII",
323: "CCCXXIII",
324: "CCCXXIV",
325: "CCCXXV",
326: "CCCXXVI",
327: "CCCXXVII",
328: "CCCXXVIII",
329: "CCCXXIX",
330: "CCCXXX",
331: "CCCXXXI",
332: "CCCXXXII",
333: "CCCXXXIII",
334: "CCCXXXIV",
335: "CCCXXXV",
336: "CCCXXXVI",
337: "CCCXXXVII",
338: "CCCXXXVIII",
339: "CCCXXXIX",
340: "CCCXL",
341: "CCCXLI",
342: "CCCXLII",
343: "CCCXLIII",
344: "CCCXLIV",
345: "CCCXLV",
346: "CCCXLVI",
347: "CCCXLVII",
348: "CCCXLVIII",
349: "CCCXLIX",
350: "CCCL",
351: "CCCLI",
352: "CCCLII",
353: "CCCLIII",
354: "CCCLIV",
355: "CCCLV",
356: "CCCLVI",
357: "CCCLVII",
358: "CCCLVIII",
359: "CCCLIX",
360: "CCCLX",
361: "CCCLXI",
362: "CCCLXII",
363: "CCCLXIII",
364: "CCCLXIV",
365: "CCCLXV",
366: "CCCLXVI",
367: "CCCLXVII",
368: "CCCLXVIII",
369: "CCCLXIX",
370: "CCCLXX",
371: "CCCLXXI",
372: "CCCLXXII",
373: "CCCLXXIII",
374: "CCCLXXIV",
375: "CCCLXXV",
376: "CCCLXXVI",
377: "CCCLXXVII",
378: "CCCLXXVIII",
379: "CCCLXXIX",
380: "CCCLXXX",
381: "CCCLXXXI",
382: "CCCLXXXII",
383: "CCCLXXXIII",
384: "CCCLXXXIV",
385: "CCCLXXXV",
386: "CCCLXXXVI",
387: "CCCLXXXVII",
388: "CCCLXXXVIII",
389: "CCCLXXXIX",
390: "CCCXC",
391: "CCCXCI",
392: "CCCXCII",
393: "CCCXCIII",
394: "CCCXCIV",
395: "CCCXCV",
396: "CCCXCVI",
397: "CCCXCVII",
398: "CCCXCVIII",
399: "CCCXCIX",
400: "CD",
401: "CDI",
402: "CDII",
403: "CDIII",
404: "CDIV",
405: "CDV",
406: "CDVI",
407: "CDVII",
408: "CDVIII",
409: "CDIX",
410: "CDX",
411: "CDXI",
412: "CDXII",
413: "CDXIII",
414: "CDXIV",
415: "CDXV",
416: "CDXVI",
417: "CDXVII",
418: "CDXVIII",
419: "CDXIX",
420: "CDXX",
421: "CDXXI",
422: "CDXXII",
423: "CDXXIII",
424: "CDXXIV",
425: "CDXXV",
426: "CDXXVI",
427: "CDXXVII",
428: "CDXXVIII",
429: "CDXXIX",
430: "CDXXX",
431: "CDXXXI",
432: "CDXXXII",
433: "CDXXXIII",
434: "CDXXXIV",
435: "CDXXXV",
436: "CDXXXVI",
437: "CDXXXVII",
438: "CDXXXVIII",
439: "CDXXXIX",
440: "CDXL",
441: "CDXLI",
442: "CDXLII",
443: "CDXLIII",
444: "CDXLIV",
445: "CDXLV",
446: "CDXLVI",
447: "CDXLVII",
448: "CDXLVIII",
449: "CDXLIX",
450: "CDL",
451: "CDLI",
452: "CDLII",
453: "CDLIII",
454: "CDLIV",
455: "CDLV",
456: "CDLVI",
457: "CDLVII",
458: "CDLVIII",
459: "CDLIX",
460: "CDLX",
461: "CDLXI",
462: "CDLXII",
463: "CDLXIII",
464: "CDLXIV",
465: "CDLXV",
466: "CDLXVI",
467: "CDLXVII",
468: "CDLXVIII",
469: "CDLXIX",
470: "CDLXX",
471: "CDLXXI",
472: "CDLXXII",
473: "CDLXXIII",
474: "CDLXXIV",
475: "CDLXXV",
476: "CDLXXVI",
477: "CDLXXVII",
478: "CDLXXVIII",
479: "CDLXXIX",
480: "CDLXXX",
481: "CDLXXXI",
482: "CDLXXXII",
483: "CDLXXXIII",
484: "CDLXXXIV",
485: "CDLXXXV",
486: "CDLXXXVI",
487: "CDLXXXVII",
488: "CDLXXXVIII",
489: "CDLXXXIX",
490: "CDXC",
491: "CDXCI",
492: "CDXCII",
493: "CDXCIII",
494: "CDXCIV",
495: "CDXCV",
496: "CDXCVI",
497: "CDXCVII",
498: "CDXCVIII",
499: "CDXCIX",
500: "D",
501: "DI",
502: "DII",
503: "DIII",
504: "DIV",
505: "DV",
506: "DVI",
507: "DVII",
508: "DVIII",
509: "DIX",
510: "DX",
511: "DXI",
512: "DXII",
513: "DXIII",
514: "DXIV",
515: "DXV",
516: "DXVI",
517: "DXVII",
518: "DXVIII",
519: "DXIX",
520: "DXX",
521: "DXXI",
522: "DXXII",
523: "DXXIII",
524: "DXXIV",
525: "DXXV",
526: "DXXVI",
527: "DXXVII",
528: "DXXVIII",
529: "DXXIX",
530: "DXXX",
531: "DXXXI",
532: "DXXXII",
533: "DXXXIII",
534: "DXXXIV",
535: "DXXXV",
536: "DXXXVI",
537: "DXXXVII",
538: "DXXXVIII",
539: "DXXXIX",
540: "DXL",
541: "DXLI",
542: "DXLII",
543: "DXLIII",
544: "DXLIV",
545: "DXLV",
546: "DXLVI",
547: "DXLVII",
548: "DXLVIII",
549: "DXLIX",
550: "DL",
551: "DLI",
552: "DLII",
553: "DLIII",
554: "DLIV",
555: "DLV",
556: "DLVI",
557: "DLVII",
558: "DLVIII",
559: "DLIX",
560: "DLX",
561: "DLXI",
562: "DLXII",
563: "DLXIII",
564: "DLXIV",
565: "DLXV",
566: "DLXVI",
567: "DLXVII",
568: "DLXVIII",
569: "DLXIX",
570: "DLXX",
571: "DLXXI",
572: "DLXXII",
573: "DLXXIII",
574: "DLXXIV",
575: "DLXXV",
576: "DLXXVI",
577: "DLXXVII",
578: "DLXXVIII",
579: "DLXXIX",
580: "DLXXX",
581: "DLXXXI",
582: "DLXXXII",
583: "DLXXXIII",
584: "DLXXXIV",
585: "DLXXXV",
586: "DLXXXVI",
587: "DLXXXVII",
588: "DLXXXVIII",
589: "DLXXXIX",
590: "DXC",
591: "DXCI",
592: "DXCII",
593: "DXCIII",
594: "DXCIV",
595: "DXCV",
596: "DXCVI",
597: "DXCVII",
598: "DXCVIII",
599: "DXCIX",
600: "DC",
601: "DCI",
602: "DCII",
603: "DCIII",
604: "DCIV",
605: "DCV",
606: "DCVI",
607: "DCVII",
608: "DCVIII",
609: "DCIX",
610: "DCX",
611: "DCXI",
612: "DCXII",
613: "DCXIII",
614: "DCXIV",
615: "DCXV",
616: "DCXVI",
617: "DCXVII",
618: "DCXVIII",
619: "DCXIX",
620: "DCXX",
621: "DCXXI",
622: "DCXXII",
623: "DCXXIII",
624: "DCXXIV",
625: "DCXXV",
626: "DCXXVI",
627: "DCXXVII",
628: "DCXXVIII",
629: "DCXXIX",
630: "DCXXX",
631: "DCXXXI",
632: "DCXXXII",
633: "DCXXXIII",
634: "DCXXXIV",
635: "DCXXXV",
636: "DCXXXVI",
637: "DCXXXVII",
638: "DCXXXVIII",
639: "DCXXXIX",
640: "DCXL",
641: "DCXLI",
642: "DCXLII",
643: "DCXLIII",
644: "DCXLIV",
645: "DCXLV",
646: "DCXLVI",
647: "DCXLVII",
648: "DCXLVIII",
649: "DCXLIX",
650: "DCL",
651: "DCLI",
652: "DCLII",
653: "DCLIII",
654: "DCLIV",
655: "DCLV",
656: "DCLVI",
657: "DCLVII",
658: "DCLVIII",
659: "DCLIX",
660: "DCLX",
661: "DCLXI",
662: "DCLXII",
663: "DCLXIII",
664: "DCLXIV",
665: "DCLXV",
666: "DCLXVI",
667: "DCLXVII",
668: "DCLXVIII",
669: "DCLXIX",
670: "DCLXX",
671: "DCLXXI",
672: "DCLXXII",
673: "DCLXXIII",
674: "DCLXXIV",
675: "DCLXXV",
676: "DCLXXVI",
677: "DCLXXVII",
678: "DCLXXVIII",
679: "DCLXXIX",
680: "DCLXXX",
681: "DCLXXXI",
682: "DCLXXXII",
683: "DCLXXXIII",
684: "DCLXXXIV",
685: "DCLXXXV",
686: "DCLXXXVI",
687: "DCLXXXVII",
688: "DCLXXXVIII",
689: "DCLXXXIX",
690: "DCXC",
691: "DCXCI",
692: "DCXCII",
693: "DCXCIII",
694: "DCXCIV",
695: "DCXCV",
696: "DCXCVI",
697: "DCXCVII",
698: "DCXCVIII",
699: "DCXCIX",
700: "DCC",
701: "DCCI",
702: "DCCII",
703: "DCCIII",
704: "DCCIV",
705: "DCCV",
706: "DCCVI",
707: "DCCVII",
708: "DCCVIII",
709: "DCCIX",
710: "DCCX",
711: "DCCXI",
712: "DCCXII",
713: "DCCXIII",
714: "DCCXIV",
715: "DCCXV",
716: "DCCXVI",
717: "DCCXVII",
718: "DCCXVIII",
719: "DCCXIX",
720: "DCCXX",
721: "DCCXXI",
722: "DCCXXII",
723: "DCCXXIII",
724: "DCCXXIV",
725: "DCCXXV",
726: "DCCXXVI",
727: "DCCXXVII",
728: "DCCXXVIII",
729: "DCCXXIX",
730: "DCCXXX",
731: "DCCXXXI",
732: "DCCXXXII",
733: "DCCXXXIII",
734: "DCCXXXIV",
735: "DCCXXXV",
736: "DCCXXXVI",
737: "DCCXXXVII",
738: "DCCXXXVIII",
739: "DCCXXXIX",
740: "DCCXL",
741: "DCCXLI",
742: "DCCXLII",
743: "DCCXLIII",
744: "DCCXLIV",
745: "DCCXLV",
746: "DCCXLVI",
747: "DCCXLVII",
748: "DCCXLVIII",
749: "DCCXLIX",
750: "DCCL",
751: "DCCLI",
752: "DCCLII",
753: "DCCLIII",
754: "DCCLIV",
755: "DCCLV",
756: "DCCLVI",
757: "DCCLVII",
758: "DCCLVIII",
759: "DCCLIX",
760: "DCCLX",
761: "DCCLXI",
762: "DCCLXII",
763: "DCCLXIII",
764: "DCCLXIV",
765: "DCCLXV",
766: "DCCLXVI",
767: "DCCLXVII",
768: "DCCLXVIII",
769: "DCCLXIX",
770: "DCCLXX",
771: "DCCLXXI",
772: "DCCLXXII",
773: "DCCLXXIII",
774: "DCCLXXIV",
775: "DCCLXXV",
776: "DCCLXXVI",
777: "DCCLXXVII",
778: "DCCLXXVIII",
779: "DCCLXXIX",
780: "DCCLXXX",
781: "DCCLXXXI",
782: "DCCLXXXII",
783: "DCCLXXXIII",
784: "DCCLXXXIV",
785: "DCCLXXXV",
786: "DCCLXXXVI",
787: "DCCLXXXVII",
788: "DCCLXXXVIII",
789: "DCCLXXXIX",
790: "DCCXC",
791: "DCCXCI",
792: "DCCXCII",
793: "DCCXCIII",
794: "DCCXCIV",
795: "DCCXCV",
796: "DCCXCVI",
797: "DCCXCVII",
798: "DCCXCVIII",
799: "DCCXCIX",
800: "DCCC",
801: "DCCCI",
802: "DCCCII",
803: "DCCCIII",
804: "DCCCIV",
805: "DCCCV",
806: "DCCCVI",
807: "DCCCVII",
808: "DCCCVIII",
809: "DCCCIX",
810: "DCCCX",
811: "DCCCXI",
812: "DCCCXII",
813: "DCCCXIII",
814: "DCCCXIV",
815: "DCCCXV",
816: "DCCCXVI",
817: "DCCCXVII",
818: "DCCCXVIII",
819: "DCCCXIX",
820: "DCCCXX",
821: "DCCCXXI",
822: "DCCCXXII",
823: "DCCCXXIII",
824: "DCCCXXIV",
825: "DCCCXXV",
826: "DCCCXXVI",
827: "DCCCXXVII",
828: "DCCCXXVIII",
829: "DCCCXXIX",
830: "DCCCXXX",
831: "DCCCXXXI",
832: "DCCCXXXII",
833: "DCCCXXXIII",
834: "DCCCXXXIV",
835: "DCCCXXXV",
836: "DCCCXXXVI",
837: "DCCCXXXVII",
838: "DCCCXXXVIII",
839: "DCCCXXXIX",
840: "DCCCXL",
841: "DCCCXLI",
842: "DCCCXLII",
843: "DCCCXLIII",
844: "DCCCXLIV",
845: "DCCCXLV",
846: "DCCCXLVI",
847: "DCCCXLVII",
848: "DCCCXLVIII",
849: "DCCCXLIX",
850: "DCCCL",
851: "DCCCLI",
852: "DCCCLII",
853: "DCCCLIII",
854: "DCCCLIV",
855: "DCCCLV",
856: "DCCCLVI",
857: "DCCCLVII",
858: "DCCCLVIII",
859: "DCCCLIX",
860: "DCCCLX",
861: "DCCCLXI",
862: "DCCCLXII",
863: "DCCCLXIII",
864: "DCCCLXIV",
865: "DCCCLXV",
866: "DCCCLXVI",
867: "DCCCLXVII",
868: "DCCCLXVIII",
869: "DCCCLXIX",
870: "DCCCLXX",
871: "DCCCLXXI",
872: "DCCCLXXII",
873: "DCCCLXXIII",
874: "DCCCLXXIV",
875: "DCCCLXXV",
876: "DCCCLXXVI",
877: "DCCCLXXVII",
878: "DCCCLXXVIII",
879: "DCCCLXXIX",
880: "DCCCLXXX",
881: "DCCCLXXXI",
882: "DCCCLXXXII",
883: "DCCCLXXXIII",
884: "DCCCLXXXIV",
885: "DCCCLXXXV",
886: "DCCCLXXXVI",
887: "DCCCLXXXVII",
888: "DCCCLXXXVIII",
889: "DCCCLXXXIX",
890: "DCCCXC",
891: "DCCCXCI",
892: "DCCCXCII",
893: "DCCCXCIII",
894: "DCCCXCIV",
895: "DCCCXCV",
896: "DCCCXCVI",
897: "DCCCXCVII",
898: "DCCCXCVIII",
899: "DCCCXCIX",
900: "CM",
901: "CMI",
902: "CMII",
903: "CMIII",
904: "CMIV",
905: "CMV",
906: "CMVI",
907: "CMVII",
908: "CMVIII",
909: "CMIX",
910: "CMX",
911: "CMXI",
912: "CMXII",
913: "CMXIII",
914: "CMXIV",
915: "CMXV",
916: "CMXVI",
917: "CMXVII",
918: "CMXVIII",
919: "CMXIX",
920: "CMXX",
921: "CMXXI",
922: "CMXXII",
923: "CMXXIII",
924: "CMXXIV",
925: "CMXXV",
926: "CMXXVI",
927: "CMXXVII",
928: "CMXXVIII",
929: "CMXXIX",
930: "CMXXX",
931: "CMXXXI",
932: "CMXXXII",
933: "CMXXXIII",
934: "CMXXXIV",
935: "CMXXXV",
936: "CMXXXVI",
937: "CMXXXVII",
938: "CMXXXVIII",
939: "CMXXXIX",
940: "CMXL",
941: "CMXLI",
942: "CMXLII",
943: "CMXLIII",
944: "CMXLIV",
945: "CMXLV",
946: "CMXLVI",
947: "CMXLVII",
948: "CMXLVIII",
949: "CMXLIX",
950: "CML",
951: "CMLI",
952: "CMLII",
953: "CMLIII",
954: "CMLIV",
955: "CMLV",
956: "CMLVI",
957: "CMLVII",
958: "CMLVIII",
959: "CMLIX",
960: "CMLX",
961: "CMLXI",
962: "CMLXII",
963: "CMLXIII",
964: "CMLXIV",
965: "CMLXV",
966: "CMLXVI",
967: "CMLXVII",
968: "CMLXVIII",
969: "CMLXIX",
970: "CMLXX",
971: "CMLXXI",
972: "CMLXXII",
973: "CMLXXIII",
974: "CMLXXIV",
975: "CMLXXV",
976: "CMLXXVI",
977: "CMLXXVII",
978: "CMLXXVIII",
979: "CMLXXIX",
980: "CMLXXX",
981: "CMLXXXI",
982: "CMLXXXII",
983: "CMLXXXIII",
984: "CMLXXXIV",
985: "CMLXXXV",
986: "CMLXXXVI",
987: "CMLXXXVII",
988: "CMLXXXVIII",
989: "CMLXXXIX",
990: "CMXC",
991: "CMXCI",
992: "CMXCII",
993: "CMXCIII",
994: "CMXCIV",
995: "CMXCV",
996: "CMXCVI",
997: "CMXCVII",
998: "CMXCVIII",
999: "CMXCIX",
1000: "M",
};
module.exports = map;
const assert = require("assert");
const numbers = require("./number-map");
function numeralAddition(addendA, addendB) {
// addendA should be bigger
if (addendB.length > addendA.length) {
[addendA, addendB] = [addendB, addendA];
}
let result = addendA;
let pointer = "";
while (pointer != addendB) {
result = increment(result);
pointer = increment(pointer);
}
return result;
}
function increment(num) {
let result = num + "I";
// pattern 1: two units away: IXI => X, XCX => C
result = replaceCurrAndNext(
result,
(c, n) => new RegExp(`${c}${next(n)}${c}$`),
(_, n) => next(n)
);
// pattern 2: one unit away: IVI => V, XLX => L
result = replaceCurrAndNext(
result,
(c, n) => new RegExp(`${c}${n}${c}$`),
(_, n) => n
);
// pattern 3: four units: IIII => IV, XXXX => XL, CCCC => CD
result = result.replace(
/(I|X|C)(\1{3})/,
(_, captureGroup1) => captureGroup1 + next(captureGroup1)
);
// pattern 4: one unit away inverted, to two units away: VIV => IX, LXL => XC
result = replaceCurrAndNext(
result,
(c, n) => new RegExp(`${n}${c}${n}$`),
(c, n) => `${c}${next(n)}`
);
return result;
}
function next(unit) {
const units = "IVXLCDM".split("");
const idx = units.indexOf(unit);
return idx > -1 && units[idx + 1] ? units[idx + 1] : null;
}
function replaceCurrAndNext(result, getRegex, getReplacement) {
let currUnit = "I";
while (currUnit) {
const nextUnit = next(currUnit);
if (nextUnit) {
result = result.replace(
getRegex(currUnit, nextUnit),
getReplacement(currUnit, nextUnit)
);
}
currUnit = nextUnit;
}
return result;
}
// ===== TEST =====
const done = {};
const MAX = 1000;
for (let i = 1; i <= MAX; i++) {
const addendA = numbers[i];
console.log(addendA);
for (let j = 1; j <= MAX; j++) {
if (i + j > MAX) continue; // no answer available in map
const addendB = numbers[j];
if (done[[addendA, addendB].join("+")]) continue; // previously tested
done[[addendA, addendB].join("+")] = true;
done[[addendB, addendA].join("+")] = true;
const expected = numbers[i + j];
const result = numeralAddition(addendA, addendB);
assert.equal(result, expected, `${addendA} + ${addendB} should equal ${expected}`);
}
}
console.log("done!");
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