pb303.py

# PROBLEM 303
from itertools import permutations

def f(n):
    p = 0
    while True:
        p += n
        if all(map(lambda x: int(x) < 3, str(p))):
            return p

d = {1: 1,
2: 2,
3: 12,
4: 12,
5: 10,
6: 12,
7: 21,
8: 112,
9: 12222,
10: 10,
11: 11,
12: 12,
13: 221,
14: 112,
15: 120,
16: 112,
17: 102,
18: 12222,
19: 1102,
20: 20,
21: 21,
22: 22,
23: 1012,
24: 120,
25: 100,
26: 1222,
27: 21222,
28: 112,
29: 1102,
30: 120,
31: 2201,
32: 1120,
33: 1122,
34: 102,
35: 210,
36: 22212,
37: 111,
38: 1102,
39: 10101,
40: 120,
41: 11111,
42: 210,
43: 2021,
44: 220,
45: 122220,
46: 1012,
47: 1222,
48: 1200,
49: 11221,
50: 100,
51: 102,
52: 12012,
53: 212,
54: 21222,
55: 110,
56: 112,
57: 11001,
58: 1102,
59: 1121,
60: 120,
61: 122,
62: 11222,
63: 12222,
64: 2112,
65: 2210,
66: 1122,
67: 201,
68: 1020,
69: 2001,
70: 210,
71: 2201,
72: 122112,
73: 1022,
74: 222,
75: 1200,
76: 11020,
77: 1001,
78: 12012,
79: 2212,
80: 1120,
81: 21222,
82: 22222,
83: 11122,
84: 2100,
85: 1020,
86: 12212,
87: 2001,
88: 2112,
89: 1121222,
90: 122220,
91: 1001,
92: 1012,
93: 21111,
94: 1222,
95: 11020,
96: 2112,
97: 12222,
98: 112112,
99: 1122222222,
100: 100,
101: 101,
102: 102,
103: 11021,
104: 21112,
105: 210,
106: 212,
107: 11021,
108: 112212,
109: 1010212,
110: 110,
111: 111,
112: 112,
113: 20001,
114: 22002,
115: 10120,
116: 11020,
117: 121212,
118: 11210,
119: 20111,
120: 120,
121: 121,
122: 122,
123: 100122,
124: 20212,
125: 1000,
126: 12222,
127: 211201,
128: 10112,
129: 112101,
130: 2210,
131: 21222,
132: 2112,
133: 22211,
134: 2010,
135: 212220,
136: 10200,
137: 10001,
138: 10212,
139: 1112,
140: 1120,
141: 10011,
142: 12212,
143: 1001,
144: 122112,
145: 11020,
146: 1022,
147: 12201,
148: 2220,
149: 22201,
150: 1200,
151: 121102,
152: 110200,
153: 210222,
154: 2002,
155: 22010,
156: 12012,
157: 1012022,
158: 2212,
159: 22101,
160: 1120,
161: 1111222,
162: 21222,
163: 20212,
164: 112012,
165: 11220,
166: 11122,
167: 1002,
168: 21000,
169: 20111,
170: 1020,
171: 202122,
172: 12212,
173: 1211,
174: 20010,
175: 2100,
176: 2112,
177: 20001,
178: 1121222,
179: 21122,
180: 122220,
181: 11222,
182: 2002,
183: 100101,
184: 10120,
185: 1110,
186: 110112,
187: 1122,
188: 12220,
189: 1020222,
190: 11020,
191: 2101,
192: 2112,
193: 11001,
194: 12222,
195: 101010,
196: 112112,
197: 202122,
198: 1122222222,
199: 1110022,
200: 200,
201: 201,
202: 202,
203: 21112,
204: 1020,
205: 111110,
206: 21012,
207: 222111,
208: 112112,
209: 12122,
210: 210,
211: 211,
212: 212,
213: 10011,
214: 101222,
215: 20210,
216: 212112,
217: 101122,
218: 1010212,
219: 120012,
220: 220,
221: 221,
222: 222,
223: 220101,
224: 1120,
225: 1222200,
226: 101022,
227: 21111,
228: 220020,
229: 11221,
230: 10120,
231: 12012,
232: 21112,
233: 101122,
234: 121212,
235: 12220,
236: 110212,
237: 112101,
238: 102102,
239: 1111111,
240: 1200,
241: 10122,
242: 1210,
243: 222102,
244: 1220,
245: 112210,
246: 100122,
247: 102011,
248: 110112,
249: 12201,
250: 1000,
251: 1122221,
252: 121212,
253: 1012,
254: 1112012,
255: 1020,
256: 101120,
257: 22102,
258: 121002,
259: 10101,
260: 12220,
261: 222111,
262: 21222,
263: 1122221,
264: 2112,
265: 2120,
266: 212002,
267: 1122201,
268: 20100,
269: 10222,
270: 212220,
271: 11111,
272: 102000,
273: 10101,
274: 20002,
275: 1100,
276: 10212,
277: 20221,
278: 1112,
279: 122202,
280: 1120,
281: 121111,
282: 20022,
283: 1000122,
284: 12212,
285: 110010,
286: 2002,
287: 1011101,
288: 122112,
289: 202011,
290: 11020,
291: 12222,
292: 10220,
293: 1012022,
294: 122010,
295: 11210,
296: 22200,
297: 1122222222,
298: 101022,
299: 1010022,
300: 1200,
301: 121002,
302: 121102,
303: 1212,
304: 1102000,
305: 1220,
306: 210222,
307: 1110112,
308: 12012,
309: 21012,
310: 22010,
311: 212102,
312: 120120,
313: 1110211,
314: 1012022,
315: 122220,
316: 2212,
317: 211122,
318: 122112,
319: 12122,
320: 11200,
321: 1021101,
322: 1111222,
323: 111112,
324: 212220,
325: 22100,
326: 20212,
327: 1021221,
328: 1100112,
329: 111202,
330: 11220,
331: 222101,
332: 111220,
333: 111222,
334: 1002,
335: 2010,
336: 210000,
337: 1011,
338: 111202,
339: 20001,
340: 1020,
341: 212102,
342: 202122,
343: 1021111,
344: 111112,
345: 20010,
346: 12110,
347: 1021221,
348: 111012,
349: 10121,
350: 2100,
351: 1022112,
352: 2112,
353: 12002,
354: 200010,
355: 22010,
356: 1122112,
357: 102102,
358: 21122,
359: 222221,
360: 222120,
361: 22021,
362: 11222,
363: 201102,
364: 12012,
365: 10220,
366: 200202,
367: 1101,
368: 101200,
369: 202212,
370: 1110,
371: 212212,
372: 110112,
373: 102202,
374: 1122,
375: 12000,
376: 122200,
377: 21112,
378: 1020222,
379: 200112,
380: 11020,
381: 2001012,
382: 21010,
383: 101112,
384: 21120,
385: 10010,
386: 22002,
387: 1202022,
388: 122220,
389: 120201,
390: 101010,
391: 12121,
392: 112112,
393: 21222,
394: 202122,
395: 22120,
396: 2122222212,
397: 1110012,
398: 1110022,
399: 10010112,
400: 1200,
401: 121102,
402: 2010,
403: 1021202,
404: 1212,
405: 212220,
406: 21112,
407: 1221,
408: 10200,
409: 110021,
410: 111110,
411: 120012,
412: 21012,
413: 102011,
414: 1121112,
415: 111220,
416: 1022112,
417: 22101,
418: 12122,
419: 20112,
420: 2100,
421: 2021221,
422: 2110,
423: 1021122,
424: 2120,
425: 10200,
426: 20022,
427: 11102,
428: 1012220,
429: 12012,
430: 20210,
431: 121111,
432: 212112,
433: 202211,
434: 101122,
435: 20010,
436: 1010212,
437: 20102,
438: 120012,
439: 1101012,
440: 2200,
441: 212121,
442: 2210,
443: 201122,
444: 2220,
445: 11212220,
446: 1020002,
447: 101022,
448: 11200,
449: 22001,
450: 1222200,
451: 100122,
452: 1010220,
453: 1012002,
454: 201122,
455: 10010,
456: 2200200,
457: 21022,
458: 112210,
459: 210222,
460: 10120,
461: 111101,
462: 12012,
463: 11112,
464: 211120,
465: 211110,
466: 101122,
467: 110212,
468: 121212,
469: 121002,
470: 12220,
471: 2002221,
472: 1001112,
473: 101222,
474: 1101102,
475: 110200,
476: 1021020,
477: 122112,
478: 2222222,
479: 100111,
480: 12000,
481: 10101,
482: 10122,
483: 1201221,
484: 12100,
485: 122220,
486: 222102,
487: 11201,
488: 12200,
489: 102201,
490: 112210,
491: 212112,
492: 202212,
493: 1111222,
494: 1020110,
495: 11222222220,
496: 110112,
497: 2120202,
498: 122010,
499: 11122211,
500: 1000,
501: 1002,
502: 2011012,
503: 2012,
504: 1022112,
505: 1010,
506: 1012,
507: 1022112,
508: 1112012,
509: 1002221,
510: 1020,
511: 1022,
512: 1011200,
513: 202122,
514: 22102,
515: 110210,
516: 210012,
517: 110121,
518: 20202,
519: 1011012,
520: 120120,
521: 1022202,
522: 1120212,
523: 1001022,
524: 212220,
525: 2100,
526: 11202222,
527: 12121,
528: 2112,
529: 20102,
530: 2120,
531: 1201122,
532: 2120020,
533: 210002,
534: 1211112,
535: 110210,
536: 201000,
537: 1222212,
538: 10222,
539: 21021,
540: 212220,
541: 120102,
542: 22222,
543: 221001,
544: 1020000,
545: 10102120,
546: 12012,
547: 100101,
548: 120012,
549: 1201212,
550: 1100,
551: 1102,
552: 102120,
553: 2212,
554: 201102,
555: 1110,
556: 1112,
557: 1110101,
558: 122202,
559: 200122,
560: 1120,
561: 1122,
562: 1211110,
563: 1010022,
564: 200220,
565: 200010,
566: 1000122,
567: 1211112,
568: 122120,
569: 1200021,
570: 110010,
571: 10010201,
572: 12012,
573: 21201,
574: 1121022,
575: 101200,
576: 122112,
577: 1121111,
578: 2020110,
579: 11001,
580: 11020,
581: 12201,
582: 12222,
583: 212212,
584: 102200,
585: 1212120,
586: 1012022,
587: 1101212,
588: 1220100,
589: 1000122,
590: 11210,
591: 202122,
592: 110112,
593: 1101201,
594: 1122222222,
595: 201110,
596: 1010220,
597: 1112211,
598: 1010022,
599: 1011112,
600: 1200,
601: 1202,
602: 121002,
603: 1210221,
604: 1211020,
605: 1210,
606: 1212,
607: 210022,
608: 10010112,
609: 2112012,
610: 1220,
611: 1222,
612: 1102212,
613: 11110012,
614: 1110112,
615: 1001220,
616: 112112,
617: 22212,
618: 21012,
619: 222221,
620: 112220,
621: 1112211,
622: 212102,
623: 1211112,
624: 1022112,
625: 10000,
626: 2020102,
627: 102201,
628: 2012112,
629: 100011,
630: 122220,
631: 102222,
632: 10112,
633: 11202201,
634: 211122,
635: 2112010,
636: 122112,
637: 21021,
638: 12122,
639: 1021122,
640: 21120,
641: 1110212,
642: 2010102,
643: 1102102,
644: 2011212,
645: 1121010,
646: 111112,
647: 10110022,
648: 1211112,
649: 122012,
650: 22100,
651: 1121022,
652: 20212,
653: 11101,
654: 1022202,
655: 212220,
656: 1100112,
657: 122202,
658: 111202,
659: 210221,
660: 11220,
661: 2010101,
662: 1010212,
663: 102102,
664: 221112,
665: 222110,
666: 111222,
667: 2001,
668: 10020,
669: 220101,
670: 2010,
671: 122122,
672: 1022112,
673: 2111201,
674: 2022,
675: 2122200,
676: 1022112,
677: 1121112,
678: 101022,
679: 12222,
680: 10200,
681: 21111,
682: 212102,
683: 112012,
684: 1021212,
685: 100010,
686: 2121112,
687: 210222,
688: 1100112,
689: 212212,
690: 20010,
691: 22112,
692: 121100,
693: 1222212222,
694: 2011212,
695: 11120,
696: 1110120,
697: 10011011,
698: 101210,
699: 202011,
700: 2100,
701: 211001,
702: 1022112,
703: 1010211,
704: 2112,
705: 100110,
706: 12002,
707: 2121,
708: 1001112,
709: 112022,
710: 22010,
711: 221121,
712: 1122112,
713: 12121,
714: 102102,
715: 10010,
716: 211220,
717: 11211012,
718: 2110202,
719: 1120202,
720: 1221120,
721: 1010121,
722: 210102,
723: 10122,
724: 112220,
725: 110200,
726: 201102,
727: 10100211,
728: 21112,
729: 1121202,
730: 10220,
731: 111112,
732: 1201212,
733: 120212,
734: 2202,
735: 122010,
736: 1012000,
737: 2211,
738: 202212,
739: 110111,
740: 2220,
741: 2120001,
742: 212212,
743: 211012,
744: 110112,
745: 222010,
746: 102202,
747: 221112,
748: 11220,
749: 1122002,
750: 12000,
751: 1022111,
752: 1222000,
753: 2121201,
754: 21112,
755: 1211020,
756: 1022112,
757: 12112,
758: 200112,
759: 22011,
760: 110200,
761: 222212,
762: 2001012,
763: 1010212,
764: 210100,
765: 2102220,
766: 101112,
767: 102011,
768: 122112,
769: 1022001,
770: 10010,
771: 101001,
772: 220020,
773: 2121112,
774: 1202022,
775: 220100,
776: 1212112,
777: 10101,
778: 1202010,
779: 1120202,
780: 120120,
781: 110121,
782: 121210,
783: 1201122,
784: 112112,
785: 10120220,
786: 21222,
787: 1222211,
788: 1122112,
789: 11202222,
790: 22120,
791: 1211021,
792: 2222222112,
793: 11102,
794: 1110012,
795: 221010,
796: 1112012,
797: 212002,
798: 10010112,
799: 222122,
800: 11200,
801: 1122201,
802: 121102,
803: 110011,
804: 20100,
805: 11112220,
806: 1021202,
807: 2111112,
808: 12120,
809: 11211122,
810: 212220,
811: 1210012,
812: 21112,
813: 1111122222,
814: 12210,
815: 202120,
816: 102000,
817: 111112,
818: 1100210,
819: 121212,
820: 222220,
821: 2201101,
822: 120012,
823: 22221,
824: 210120,
825: 112200,
826: 1001112,
827: 21000011,
828: 1121112,
829: 1201221,
830: 111220,
831: 201102,
832: 2010112,
833: 1111222,
834: 211002,
835: 10020,
836: 121220,
837: 122202,
838: 20112,
839: 21100011,
840: 21000,
841: 111012,
842: 10012222,
843: 10212102,
844: 21100,
845: 201110,
846: 1021122,
847: 11011,
848: 21200,
849: 1000122,
850: 10200,
851: 10212,
852: 200220,
853: 2221212,
854: 11102,
855: 2021220,
856: 1200112,
857: 1102102,
858: 12012,
859: 102221,
860: 122120,
861: 1121022,
862: 1211110,
863: 111201002,
864: 1022112,
865: 12110,
866: 1110212,
867: 202011,
868: 1011220,
869: 112101,
870: 20010,
871: 201201,
872: 1021112,
873: 12222,
874: 20102,
875: 21000,
876: 120012,
877: 11000211,
878: 1101012,
879: 2222112,
880: 21120,
881: 222012,
882: 1112202,
883: 1101101,
884: 22100,
885: 200010,
886: 201122,
887: 1200111,
888: 22200,
889: 111212122,
891: 1222222122,
890: 11212220,
892: 10000212,
893: 2102122,
894: 101022,
895: 211220,
896: 112000,
897: 1010022,
898: 220010,
899: 222222012,
900: 1222200,
901: 100011,
902: 100122,
903: 121002,
904: 1110112,
905: 112220,
906: 1012002,
907: 1012212,
908: 2011220,
909: 10122222222,
910: 10010,
911: 10021,
912: 10010112,
913: 1111121,
914: 21022,
915: 1001010,
916: 1122100,
917: 2121021,
918: 210222,
919: 12001221,
920: 10120,
921: 2110011,
922: 222202,
923: 10021011,
924: 12012,
925: 11100,
926: 11112,
927: 10221102,
928: 1210112,
929: 221102,
930: 211110,
931: 2021201,
932: 1011220,
933: 221121,
934: 110212,
935: 11220,
936: 1022112,
937: 20001202,
938: 121002,
939: 2121201,
940: 12220,
941: 10220201,
942: 2012112,
943: 1022212,
944: 2122112,
945: 10202220,
946: 101222,
947: 2001011,
948: 2222112,
949: 2210221,
950: 110200,
951: 211122,
952: 2100112,
953: 12202212,
954: 122112,
955: 21010,
956: 11211012,
957: 22011,
958: 200222,
959: 210021,
960: 21120,
961: 1010011,
962: 20202,
963: 1220121,
964: 101220,
965: 110010,
966: 2011212,
967: 10021021,
968: 121000,
969: 212211,
970: 122220,
971: 1001101,
972: 1211112,
973: 12101201,
974: 112010,
975: 1010100,
976: 122000,
977: 1100102,
978: 1022010,
979: 1202212,
980: 1121120,
981: 1021221,
982: 212112,
983: 2012201,
984: 1100112,
985: 2021220,
986: 1111222,
987: 220101,
988: 2222012,
989: 11212202012,
990: 11222222220,
991: 110001,
992: 110112,
993: 2112111,
994: 2120202,
995: 11100220,
996: 221112,
997: 20202211,
998: 111221112,
999: 111222222222222,
1000: 1000,
1001: 1001,
1002: 1002,
1003: 1010021,
1004: 2011012,
1005: 2010,
1006: 2012,
1007: 1010021,
1008: 1022112,
1009: 2100201212,
1010: 1010,
1011: 1011,
1012: 1012,
1013: 2121222,
1014: 1022112,
1015: 211120,
1016: 11120120,
1017: 2101122,
1018: 1200222,
1019: 2200021,
1020: 1020,
1021: 1021,
1022: 1022,
1023: 1112001,
1024: 2010112,
1025: 1111100,
1026: 202122,
1027: 10122112,
1028: 221020,
1029: 1100001,
1030: 110210,
1031: 1001101,
1032: 1100112,
1033: 100201,
1034: 122012,
1035: 2221110,
1036: 121212,
1037: 1012112,
1038: 1011012,
1039: 112212,
1040: 211120,
1041: 1021221,
1042: 1022202,
1043: 10020101,
1044: 1120212,
1045: 121220,
1046: 1001022,
1047: 2121222,
1048: 2011112,
1049: 11201222,
1050: 2100,
1051: 2102,
1052: 11210112,
1053: 2110212,
1054: 121210,
1055: 2110,
1056: 2112,
1057: 11221112,
1058: 20102,
1059: 20121,
1060: 2120,
1061: 2122,
1062: 1201122,
1063: 11020121,
1064: 10010112,
1065: 100110,
1066: 210002,
1067: 1102211,
1068: 1211112,
1069: 1100001,
1070: 110210,
1071: 1222011,
1072: 210112,
1073: 222111,
1074: 1222212,
1075: 202100,
1076: 102220,
1077: 10001022,
1078: 112112,
1079: 1012102,
1080: 1122120,
1081: 2002012,
1082: 120102,
1083: 210102,
1084: 222220,
1085: 1011220,
1086: 1202202,
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1101: 1101,
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1103: 1221021,
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1106: 2212,
1107: 1202202,
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1111: 1111,
1112: 1112,
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1118: 200122,
1119: 21102102,
1120: 1120,
1121: 1121,
1122: 1122,
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1124: 2122112,
1125: 12222000,
1126: 1010022,
1127: 1111222,
1128: 2002200,
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1177: 101222,
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1190: 201110,
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1192: 10102200,
1193: 100212,
1194: 11122110,
1195: 11111110,
1196: 10100220,
1197: 11211102,
1198: 1011112,
1199: 20010111,
1200: 1200,
1201: 1201,
1202: 1202,
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1205: 101220,
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1209: 21010002,
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1221: 1221,
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1227: 200001,
1228: 1110112,
1229: 22122,
1230: 1001220,
1231: 112021,
1232: 112112,
1233: 202212,
1234: 22212,
1235: 1020110,
1236: 21012,
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1238: 1020112,
1239: 1001112,
1240: 202120,
1241: 212211,
1242: 2100222,
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1245: 122010,
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1251: 1202211,
1252: 20102112,
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1254: 1022010,
1255: 11222210,
1256: 2012112,
1257: 20112,
1258: 200022,
1259: 2100012,
1260: 122220,
1261: 1112202,
1262: 102222,
1263: 10100211,
1264: 10112,
1265: 10120,
1266: 100010202,
1267: 1021202,
1268: 2111220,
1269: 10200222,
1270: 2112010,
1271: 1121022,
1272: 122112,
1273: 2211201,
1274: 112112,
1275: 10200,
1276: 111012,
1277: 100210021,
1278: 1021122,
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1280: 101120,
1281: 2102121,
1282: 1110212,
1283: 22111222,
1284: 12221112,
1285: 221020,
1286: 1102102,
1287: 12012222222,
1288: 11011112,
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1290: 1121010,
1291: 10111112,
1292: 111112,
1293: 12021021,
1294: 10110022,
1295: 101010,
1296: 2102112,
1297: 1201022,
1298: 122012,
1299: 10001001,
1300: 22100,
1301: 2110222,
1302: 1121022,
1303: 11211012,
1304: 202120,
1305: 2221110,
1306: 22202,
1307: 2112112,
1308: 2111112,
1309: 102102,
1310: 212220,
1311: 2100222,
1312: 2002112,
1313: 101101,
1314: 122202,
1315: 11222210,
1316: 1112020,
1317: 1101012,
1318: 2102210,
1319: 1001121,
1320: 21120,
1321: 120211,
1322: 20101010,
1323: 2020221,
1324: 1010212,
1325: 21200,
1326: 102102,
1327: 2021021,
1328: 2211120,
1329: 1022001,
1330: 222110,
1331: 121121,
1332: 121212,
1333: 2222111,
1334: 20010,
1335: 11222010,
1336: 100200,
1337: 11101111,
1338: 2201010,
1339: 11111022,
1340: 20100,
1341: 2120121,
1342: 122122,
1343: 11022001,
1344: 10010112,
1345: 102220,
1346: 10010202,
1347: 10120011,
1348: 20220,
1349: 201001,
1350: 2122200,
1351: 10000102,
1352: 1022112,
1353: 100122,
1354: 1121112,
1355: 111110,
1356: 1010220,
1357: 22100102,
1358: 12222,
1359: 2200221,
1360: 102000,
1361: 1022111,
1362: 211110,
1363: 12222021,
1364: 1102112,
1365: 101010,
1366: 112012,
1367: 1002011,
1368: 2201112,
1369: 1121211,
1370: 100010,
1371: 222102,
1372: 2121112,
1373: 1200002,
1374: 210222,
1375: 11000,
1376: 11001120,
1377: 1202121,
1378: 212212,
1379: 12022122,
1380: 102120,
1381: 10001202,
1382: 22112,
1383: 2001201,
1384: 1211000,
1385: 202210,
1386: 1222212222,
1387: 212211,
1388: 2011212,
1389: 11112,
1390: 11120,
1391: 12021022,
1392: 11012112,
1393: 1110221,
1394: 10222202,
1395: 1222020,
1396: 1012100,
1397: 1112012,
1398: 1110012,
1399: 12002021,
1400: 11200,
1401: 1010121,
1402: 1200112,
1403: 2110112,
1404: 1022112,
1405: 1211110,
1406: 10102110,
1407: 121002,
1408: 21120,
1409: 10101121,
1410: 100110,
1411: 21011201,
1412: 120020,
1413: 2002221,
1414: 21210,
1415: 10001220,
1416: 1001112,
1417: 2002221,
1418: 112022,
1419: 112101,
1420: 122120,
1421: 1111222,
1422: 1210122,
1423: 1201012,
1424: 1122112,
1425: 1100100,
1426: 121210,
1427: 221122212,
1428: 1021020,
1429: 10200202,
1430: 10010,
1431: 10220202,
1432: 2112200,
1433: 2102211,
1434: 11211012,
1435: 10111010,
1436: 10220012,
1437: 1010211,
1438: 1120202,
1439: 200021,
1440: 1221120,
1441: 1111011,
1442: 2222122,
1443: 10101,
1444: 2101020,
1445: 2020110,
1446: 10122,
1447: 120101,
1448: 1122200,
1449: 1201221,
1450: 110200,
1451: 12001221,
1452: 2011020,
1453: 12022122,
1454: 21000122,
1455: 122220,
1456: 112112,
1457: 100221202,
1458: 1121202,
1459: 11202202,
1460: 10220,
1461: 1011012,
1462: 111112,
1463: 1122121,
1464: 12012120,
1465: 10120220,
1466: 120212,
1467: 1222011,
1468: 22020,
1469: 11220222,
1470: 122010,
1471: 222121,
1472: 2202112,
1473: 212112,
1474: 22110,
1475: 112100,
1476: 202212,
1477: 211211,
1478: 220222,
1479: 2112012,
1480: 22200,
1481: 11020121,
1482: 11220222,
1483: 12211022,
1484: 212212,
1485: 11222222220,
1486: 211012,
1487: 102121212,
1488: 110112,
1489: 10122222,
1490: 222010,
1491: 2120202,
1492: 1022020,
1493: 1021212,
1494: 221112,
1495: 10100220,
1496: 112200,
1497: 12220011,
1498: 1122002,
1499: 11211021,
1500: 12000,
1501: 12011002,
1502: 10221110,
1503: 111222,
1504: 2110112,
1505: 1210020,
1506: 10221222,
1507: 110011,
1508: 21112,
1509: 2200122,
1510: 1211020,
1511: 10110101,
1512: 1022112,
1513: 10022112,
1514: 12112,
1515: 12120,
1516: 200112,
1517: 100122,
1518: 211002,
1519: 120001,
1520: 1102000,
1521: 1022112,
1522: 222212,
1523: 2001222,
1524: 2001012,
1525: 12200,
1526: 1010212,
1527: 1200222,
1528: 2101000,
1529: 211002,
1530: 2102220,
1531: 1211021,
1532: 101112,
1533: 210021,
1534: 1020110,
1535: 11101120,
1536: 1221120,
1537: 112201,
1538: 1121202,
1539: 12001122,
1540: 20020,
1541: 2222122,
1542: 202002,
1543: 10102021,
1544: 2200200,
1545: 210120,
1546: 2121112,
1547: 20111,
1548: 11020212,
1549: 22211111,
1550: 220100,
1551: 110121,
1552: 1212112,
1553: 1202022,
1554: 20202,
1555: 2121020,
1556: 12020100,
1557: 20001222,
1558: 1120202,
1559: 201111,
1560: 120120,
1561: 220101,
1562: 1101210,
1563: 1022202,
1564: 1212100,
1565: 11102110,
1566: 1201122,
1567: 21101222,
1568: 210112,
1569: 1001022,
1570: 10120220,
1571: 11110112,
1572: 212220,
1573: 11011,
1574: 10212112,
1575: 1222200,
1576: 1122112,
1577: 21220112,
1578: 11202222,
1579: 202112,
1580: 22120,
1581: 2120121,
1582: 11020212,
1583: 212122,
1584: 2222222112,
1585: 2111220,
1586: 11102,
1587: 22021212,
1588: 1110012,
1589: 102012211,
1590: 221010,
1591: 210012,
1592: 11120120,
1593: 1201122,
1594: 212002,
1595: 121220,
1596: 10010112,
1597: 201222,
1598: 222122,
1599: 1100112,
1600: 11200,
1601: 11210202,
1602: 1211112,
1603: 11221,
1604: 1211020,
1605: 10211010,
1606: 220022,
1607: 102001111,
1608: 201000,
1609: 111021,
1610: 11112220,
1611: 2112021,
1612: 10212020,
1613: 200012,
1614: 2111112,
1615: 1111120,
1616: 121200,
1617: 21021,
1618: 11211122,
1619: 1211012,
1620: 212220,
1621: 1120111,
1622: 1210012,
1623: 120102,
1624: 21112,
1625: 221000,
1626: 1111122222,
1627: 200121,
1628: 122100,
1629: 1202202,
1630: 202120,
1631: 101122,
1632: 1020000,
1633: 2020021,
1634: 111112,
1635: 10212210,
1636: 11002100,
1637: 1221202,
1638: 121212,
1639: 1211221,
1640: 1120120,
1641: 100101,
1642: 20001202,
1643: 10111022,
1644: 120012,
1645: 1112020,
1646: 222210,
1647: 11221011,
1648: 1020112,
1649: 1202121,
1650: 112200,
1651: 2001012,
1652: 1001112,
1653: 10012221,
1654: 21110002,
1655: 2221010,
1656: 1121112,
1657: 21120122,
1658: 2021102,
1659: 2120202,
1660: 111220,
1661: 10102202,
1662: 201102,
1663: 211201,
1664: 2010112,
1665: 1112220,
1666: 1111222,
1667: 10002,
1668: 2100012,
1669: 1200011,
1670: 10020,
1671: 10111221,
1672: 1212200,
1673: 12002102,
1674: 122202,
1675: 20100,
1676: 20112,
1677: 1100112,
1678: 210000022,
1679: 10121012,
1680: 210000,
1681: 220211,
1682: 111012,
1683: 2112222222,
1684: 20112012,
1685: 10110,
1686: 10212102,
1687: 10122,
1688: 211000,
1689: 1010022,
1690: 201110,
1691: 2100222,
1692: 10211220,
1693: 11101001,
1694: 22022,
1695: 200010,
1696: 122112,
1697: 112002,
1698: 1000122,
1699: 2020111,
1700: 10200,
1701: 1211112,
1702: 10212,
1703: 20102212,
1704: 2002200,
1705: 2121020,
1706: 2221212,
1707: 1200021,
1708: 111020,
1709: 10201021,
1710: 2021220,
1711: 1011201,
1712: 1200112,
1713: 12020121,
1714: 1102102,
1715: 10211110,
1716: 12012,
1717: 1001011,
1718: 1022210,
1719: 11120211,
1720: 122120,
1721: 10121201,
1722: 1121022,
1723: 10212221,
1724: 12111100,
1725: 200100,
1726: 111201002,
1727: 1012022,
1728: 2210112,
1729: 102011,
1730: 12110,
1731: 2200101,
1732: 1110212,
1733: 11202112,
1734: 2020110,
1735: 10212210,
1736: 10112200,
1737: 1122102,
1738: 1121010,
1739: 1111221,
1740: 200100,
1741: 112002012,
1742: 1012102,
1743: 12201,
1744: 2002112,
1745: 101210,
1746: 12222,
1747: 220122,
1748: 201020,
1749: 1100121,
1750: 21000,
1751: 21012,
1752: 1200120,
1753: 11021111,
1754: 20220112,
1755: 10221120,
1756: 1101012,
1757: 11220202,
1758: 2222112,
1759: 102022,
1760: 21120,
1761: 1201002,
1762: 222012,
1763: 1100112,
1764: 10201212,
1765: 120020,
1766: 2202202,
1767: 1000122,
1768: 221000,
1769: 12222021,
1770: 200010,
1771: 10222212,
1772: 2011220,
1773: 202122,
1774: 12001110,
1775: 220100,
1776: 110112,
1777: 22111211,
1778: 111212122,
1779: 1101201,
1780: 11212220,
1781: 2210221,
1782: 1222222122,
1783: 1100111,
1784: 20102112,
1785: 1021020,
1786: 2102122,
1787: 12121221,
1788: 1010220,
1789: 211102,
1790: 211220,
1791: 1112211,
1792: 1120000,
1793: 102201,
1794: 1010022,
1795: 2222210,
1796: 2200100,
1797: 10002102,
1798: 222222012,
1799: 2121021,
1800: 1222200,
1801: 1102212,
1802: 200022,
1803: 102111102,
1804: 1001220,
1805: 220210,
1806: 121002,
1807: 22020102,
1808: 1110112,
1809: 1210221,
1810: 112220,
1811: 201021,
1812: 10120020,
1813: 212121,
1814: 1012212,
1815: 2011020,
1816: 2101112,
1817: 1101102,
1818: 10122222222,
1819: 10110002,
1820: 20020,
1821: 11221002,
1822: 100210,
1823: 12112012,
1824: 10010112,
1825: 102200,
1826: 10001002,
1827: 2112012,
1828: 210220,
1829: 11100201,
1830: 1001010,
1831: 1212122,
1832: 1220112,
1833: 10021011,
1834: 10120012,
1835: 11010,
1836: 2102220,
1837: 11022,
1838: 22100112,
1839: 21220221,
1840: 101200,
1841: 11011021,
1842: 11201202,
1843: 210102,
1844: 2222020,
1845: 2022120,
1846: 100210110,
1847: 2111121,
1848: 120120,
1849: 1200001,
1850: 11100,
1851: 22212,
1852: 11112,
1853: 21100111,
1854: 10221102,
1855: 2122120,
1856: 1210112,
1857: 1101201,
1858: 221102,
1859: 221221,
1860: 1101120,
1861: 10202002,
1862: 10010112,
1863: 1112211,
1864: 10112200,
1865: 1022020,
1866: 2211210,
1867: 11202,
1868: 110212,
1869: 1211112,
1870: 11220,
1871: 1012211,
1872: 1022112,
1873: 11002002,
1874: 20001202,
1875: 120000,
1876: 210112,
1877: 212101,
1878: 12111222,
1879: 20122211,
1880: 122200,
1881: 11221222122,
1882: 21212022,
1883: 10200211,
1884: 2012112,
1885: 211120,
1886: 1022212,
1887: 100011,
1888: 2122112,
1889: 102002222,
1890: 10202220,
1891: 21200001,
1892: 210012,
1893: 102222,
1894: 20010110,
1895: 2001120,
1896: 2222112,
1897: 1011101,
1898: 12221222,
1899: 11202201,
1900: 110200,
1901: 211011,
1902: 211122,
1903: 1212211,
1904: 2100112,
1905: 20010120,
1906: 12202212,
1907: 221212,
1908: 122112,
1909: 11011112,
1910: 21010,
1911: 21021,
1912: 112110120,
1913: 102110201,
1914: 111012,
1915: 1011120,
1916: 2002220,
1917: 2120202,
1918: 1120112,
1919: 1111101,
1920: 21120,
1921: 100011102,
1922: 2020022,
1923: 120022122,
1924: 121212,
1925: 100100,
1926: 10202022,
1927: 20220011,
1928: 1012200,
1929: 111012021,
1930: 110010,
1931: 2012102,
1932: 2011212,
1933: 21000112,
1934: 21212112,
1935: 12020220,
1936: 1210000,
1937: 10020101,
1938: 1122102,
1939: 22120112,
1940: 122220,
1941: 21120021,
1942: 2002202,
1943: 1121111,
1944: 1211112,
1945: 1202010,
1946: 101011022,
1947: 220011,
1948: 1011012,
1949: 2101022,
1950: 1010100,
1951: 11220201,
1952: 1220000,
1953: 1121022,
1954: 1100102,
1955: 121210,
1956: 10220100,
1957: 2002011,
1958: 1202212,
1959: 12222201,
1960: 1121120,
1961: 100011,
1962: 1022202,
1963: 2010112,
1964: 212112,
1965: 212220,
1966: 11102002,
1967: 11021101,
1968: 1100112,
1969: 1002221,
1970: 2021220,
1971: 122202,
1972: 2112012,
1973: 211111,
1974: 2201010,
1975: 221200,
1976: 10200112,
1977: 12111102,
1978: 11212202012,
1979: 11100211,
1980: 11222222220,
1981: 20111112,
1982: 220002,
1983: 101002122,
1984: 1101120,
1985: 11100120,
1986: 10212012,
1987: 12212102,
1988: 21021112,
1989: 10122021,
1990: 11100220,
1991: 221001,
1992: 221112,
1993: 1110101,
1994: 21202202,
1995: 100101120,
1996: 111221112,
1997: 21220122,
1998: 111222222222222,
1999: 1111000222,
2000: 2000,
2001: 2001,
2002: 2002,
2003: 2011012,
2004: 10020,
2005: 1211020,
2006: 2010012,
2007: 1210221,
2008: 20110120,
2009: 1121022,
2010: 2010,
2011: 2011,
2012: 2012,
2013: 1101111,
2014: 10100210,
2015: 10212020,
2016: 1022112,
2017: 12102,
2018: 2100201212,
2019: 10010202,
2020: 2020,
2021: 2021,
2022: 2022,
2023: 2112012,
2024: 10120,
2025: 2122200,
2026: 2121222,
2027: 1202011,
2028: 1022112,
2029: 10222102,
2030: 211120,
2031: 1121112,
2032: 20200112,
2033: 2102122,
2034: 2101122,
2035: 12210,
2036: 10011012,
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9128: 1001022120,
9129: 1011210201,
9130: 11111210,
9131: 1100112011,
9132: 1000100112,
9133: 111121211,
9134: 12011210,
9135: 21120120,
9136: 2111101200,
9137: 1022211012,
9138: 2001222,
9139: 111121101,
9140: 210220,
9141: 201102,
9142: 111121010,
9143: 201210001,
9144: 1001021112,
9145: 111002010,
9146: 201212,
9147: 12010011,
9148: 10200020,
9149: 102002201,
9150: 10010100,
9151: 1221210101,
9152: 10122112,
9153: 11020212,
9154: 11122110,
9155: 12121220,
9156: 122022012,
9157: 212012021,
9158: 10202012,
9159: 102022101,
9160: 11221000,
9161: 1010101021,
9162: 1200222,
9163: 22211112,
9164: 202112020,
9165: 100210110,
9166: 20000212,
9167: 10111201,
9168: 121100112,
9169: 12002221,
9170: 21210210,
9171: 2210211,
9172: 210002112,
9173: 121212022,
9174: 211002,
9175: 110100,
9176: 110112,
9177: 220000221,
9178: 21100222,
9179: 2001022,
9180: 2102220,
9181: 11210001,
9182: 101002,
9183: 1210200021,
9184: 2002112,
9185: 110220,
9186: 1111111002,
9187: 101112122,
9188: 221201100,
9189: 12111102,
9190: 120012210,
9191: 101101,
9192: 101112,
9193: 200012101,
9194: 120101222,
9195: 212202210,
9196: 101110020,
9197: 1101120022,
9198: 21100212,
9199: 1101111101,
9200: 101200,
9201: 101211,
9202: 101222,
9203: 2022212002,
9204: 12011220,
9205: 110110210,
9206: 120000210,
9207: 21122202222,
9208: 220200112,
9209: 110121222,
9210: 21100110,
9211: 210020011,
9212: 1000202112,
9213: 221112,
9214: 20022022,
9215: 2101020,
9216: 10202112,
9217: 2100121101,
9218: 21100002,
9219: 21010101,
9220: 2222020,
9221: 20111001,
9222: 110212122,
9223: 221112202,
9224: 12111112,
9225: 20221200,
9226: 10010210,
9227: 212221,
9228: 11212020,
9229: 111200221,
9230: 100210110,
9231: 102021012,
9232: 122010112,
9233: 1002122121,
9234: 210101202,
9235: 21111210,
9236: 22120220,
9237: 11112111,
9238: 21201210,
9239: 122121102,
9240: 120120,
9241: 1002020112,
9242: 100100102,
9243: 11221002,
9244: 1210021112,
9245: 12000010,
9246: 20221002,
9247: 120211,
9248: 101210112,
9249: 1001010021,
9250: 111000,
9251: 111012,
9252: 1212012,
9253: 200022101,
9254: 112112210,
9255: 222120,
9256: 2101112,
9257: 1100222221,
9258: 211212012,
9259: 102210101,
9260: 111120,
9261: 1020201021,
9262: 10012222,
9263: 1002201022,
9264: 22002000,
9265: 211001110,
9266: 1022012002,
9267: 1012012002,
9268: 1010212,
9269: 220120212,
9270: 102211020,
9271: 112012222,
9272: 22021000,
9273: 211211121,
9274: 110110202,
9275: 21221200,
9276: 221112012,
9277: 20001212,
9278: 1000122010,
9279: 221100012,
9280: 12101120,
9281: 2020121022,
9282: 102102,
9283: 12012202,
9284: 21121100,
9285: 11012010,
9286: 10001022,
9287: 11200122,
9288: 110202120,
9289: 11221112,
9290: 2211020,
9291: 102201,
9292: 102212,
9293: 12211002,
9294: 2021101122,
9295: 2212210,
9296: 110111120,
9297: 2101122,
9298: 2222222,
9299: 1111221201,
9300: 2111100,
9301: 210221202,
9302: 211211212,
9303: 22020201,
9304: 1011112200,
9305: 102020020,
9306: 1222222122,
9307: 112112122,
9308: 2001220,
9309: 21122121,
9310: 20212010,
9311: 120121211,
9312: 122220000,
9313: 212122201,
9314: 22102122,
9315: 11122110,
9316: 10201020,
9317: 121121,
9318: 1202022,
9319: 102220111,
9320: 10112200,
9321: 122021211,
9322: 21021110,
9323: 122010101,
9324: 121212,
9325: 10220200,
9326: 121210022,
9327: 200120112,
9328: 21221200,
9329: 1020210111,
9330: 2211210,
9331: 202212101,
9332: 101112220,
9333: 121021011,
9334: 202221110,
9335: 112020,
9336: 120201000,
9337: 112100022,
9338: 1111222,
9339: 1102002,
9340: 1102120,
9341: 21120001,
9342: 20001222,
9343: 1100110221,
9344: 211221120,
9345: 12111120,
9346: 1000022,
9347: 1012121201,
9348: 100201212,
9349: 11200102,
9350: 112200,
9351: 112212,
9352: 22211000,
9353: 11102011,
9354: 2011110,
9355: 10122110,
9356: 11012012,
9357: 2021112,
9358: 1020022,
9359: 112102102,
9360: 10221120,
9361: 10222212,
9362: 100220210,
9363: 1000221201,
9364: 12220020,
9365: 110020020,
9366: 2201010,
9367: 110212122,
9368: 1021112,
9369: 1021221,
9370: 200012020,
9371: 100101022,
9372: 11012100,
9373: 1001102011,
9374: 111110022,
9375: 1200000,
9376: 2222112,
9377: 11121122,
9378: 1022202,
9379: 120220022,
9380: 1210020,
9381: 100020222,
9382: 10001212,
9383: 110100122,
9384: 10022112,
9385: 2121010,
9386: 120000010,
9387: 20210211,
9388: 1200021100,
9389: 1201022102,
9390: 21212010,
9391: 20012221,
9392: 110121200,
9393: 2010102,
9394: 122122,
9395: 201222110,
9396: 11012112,
9397: 100200211,
9398: 11221212,
9399: 212220021,
9400: 122200,
9401: 110001101,
9402: 102021102,
9403: 111021221,
9404: 101121212,
9405: 112212221220,
9406: 110210102,
9407: 102000101,
9408: 10010112,
9409: 101222022,
9410: 102202010,
9411: 110212221,
9412: 10212020,
9413: 100220211,
9414: 10101222,
9415: 102002110,
9416: 10122200,
9417: 1020200112,
9418: 22020122202,
9419: 22210002,
9420: 20121120,
9421: 10212100212,
9422: 201122012,
9423: 22210011,
9424: 211220112,
9425: 2111200,
9426: 111010002,
9427: 2102221,
9428: 100210212,
9429: 21102102,
9430: 10222120,
9431: 20201202,
9432: 2122200,
9433: 1212112201,
9434: 1002202122,
9435: 1000110,
9436: 101201100,
9437: 200121022,
9438: 12222210,
9439: 102111102,
9440: 21221120,
9441: 211110201,
9442: 100000222,
9443: 111210211,
9444: 12022212,
9445: 1020022220,
9446: 110112022,
9447: 2012211,
9448: 1002102120,
9449: 22101211,
9450: 102022200,
9451: 10122021,
9452: 2221220,
9453: 2212002,
9454: 1210112,
9455: 212000010,
9456: 120110112,
9457: 20011012,
9458: 12002202,
9459: 1220211,
9460: 1012220,
9461: 21202101,
9462: 1120121022,
9463: 1201110201,
9464: 1022112,
9465: 1022220,
9466: 10100222,
9467: 11010121,
9468: 11210112,
9469: 110200222,
9470: 20010110,
9471: 11100012,
9472: 110112000,
9473: 1122020012,
9474: 112011102,
9475: 20011200,
9476: 11011112,
9477: 120102021,
9478: 1121200010,
9479: 201220212,
9480: 22221120,
9481: 22100211,
9482: 21012112,
9483: 210020001,
9484: 22221012,
9485: 10111010,
9486: 21201210,
9487: 122221021,
9488: 111000112,
9489: 202201101,
9490: 22102210,
9491: 110200001,
9492: 11020212,
9493: 111201002,
9494: 2022222,
9495: 112022010,
9496: 21100112,
9497: 121210211,
9498: 111022122,
9499: 221222211,
9500: 1102000,
9501: 21111222,
9502: 20011212,
9503: 121011202,
9504: 12221222112,
9505: 2110110,
9506: 1112202,
9507: 10201011,
9508: 10221100,
9509: 11211111,
9510: 2111220,
9511: 210212122,
9512: 1111011112,
9513: 200220111,
9514: 20122110,
9515: 12122110,
9516: 11010012,
9517: 210002122,
9518: 12221112,
9519: 10100211102,
9520: 21001120,
9521: 1111110221,
9522: 1001200212,
9523: 211001111,
9524: 1000020,
9525: 200101200,
9526: 11212102,
9527: 121212021,
9528: 11100120,
9529: 210000102,
9530: 122022120,
9531: 110102112,
9532: 11200100,
9533: 101021201,
9534: 1021120002,
9535: 2212120,
9536: 112210112,
9537: 2222121,
9538: 20211022,
9539: 1222022212,
9540: 1221120,
9541: 12222021,
9542: 11021010,
9543: 1021101,
9544: 1002120,
9545: 110111120,
9546: 210012,
9547: 110201021,
9548: 110222112,
9549: 112000221,
9550: 210100,
9551: 210122,
9552: 1122121200,
9553: 22010112,
9554: 12210012,
9555: 210210,
9556: 210012212,
9557: 210120202,
9558: 112010202,
9559: 110110121,
9560: 112110120,
9561: 120000111,
9562: 12201112,
9563: 121010202,
9564: 220211100,
9565: 1021102010,
9566: 12120122,
9567: 210120021,
9568: 202210112,
9569: 2020102021,
9570: 220110,
9571: 1102110221,
9572: 201012,
9573: 201100011,
9574: 220202,
9575: 10111200,
9576: 220200120,
9577: 2020201111,
9578: 20200002,
9579: 2002011,
9580: 2002220,
9581: 201201,
9582: 201222,
9583: 1121211,
9584: 10111120,
9585: 21202020,
9586: 122001022,
9587: 1122120002,
9588: 10211220,
9589: 1210122211,
9590: 2100210,
9591: 211002,
9592: 100102112,
9593: 10111022,
9594: 22210110,
9595: 11111010,
9596: 211112,
9597: 12121011,
9598: 21010022,
9599: 21012211,
9600: 211200,
9601: 211222,
9602: 12012102,
9603: 1222212222,
9604: 202212220,
9605: 1000111020,
9606: 11210202,
9607: 10020101,
9608: 1201000,
9609: 211100121,
9610: 10100110,
9611: 20010102,
9612: 1211112,
9613: 2221122102,
9614: 221122,
9615: 1200221220,
9616: 1202000,
9617: 211122001,
9618: 221012022,
9619: 110022122,
9620: 202020,
9621: 112200102,
9622: 110220010,
9623: 1222121,
9624: 101100120,
9625: 1001000,
9626: 1220211012,
9627: 21112011,
9628: 21220112,
9629: 1001021211,
9630: 12201210,
9631: 201201221,
9632: 200201120,
9633: 122021211,
9634: 2100212,
9635: 202200110,
9636: 21122112,
9637: 102210022,
9638: 21001202,
9639: 111022002,
9640: 1012200,
9641: 212102,
9642: 102022002,
9643: 1100112012,
9644: 1100120012,
9645: 1110120210,
9646: 212212,
9647: 20220112,
9648: 12002112,
9649: 21112012,
9650: 1100100,
9651: 221220222,
9652: 101201220,
9653: 21111111,
9654: 1110210,
9655: 20121020,
9656: 21021112,
9657: 222111,
9658: 1101012,
9659: 2200011112,
9660: 20112120,
9661: 100001011,
9662: 20010002,
9663: 110100222,
9664: 2010112,
9665: 210001120,
9666: 21120210,
9667: 1002110221,
9668: 1222122212,
9669: 11100012,
9670: 100210210,
9671: 21102122,
9672: 110222112,
9673: 1120201111,
9674: 2001212010,
9675: 120202200,
9676: 12211112,
9677: 211210202,
9678: 11120022,
9679: 2110022,
9680: 1210000,
9681: 100111221,
9682: 1020202022,
9683: 2101211,
9684: 2111112,
9685: 100201010,
9686: 220211210,
9687: 20110212,
9688: 1211000,
9689: 2112202,
9690: 2122110,
9691: 10001112,
9692: 11010112,
9693: 20200212,
9694: 112111110,
9695: 221201120,
9696: 1212000,
9697: 1002020101,
9698: 112002202,
9699: 22201011,
9700: 1222200,
9701: 221202202,
9702: 12122222112,
9703: 201211111,
9704: 1001210200,
9705: 211200210,
9706: 220200022,
9707: 100011221,
9708: 121010220,
9709: 22020012,
9710: 10011010,
9711: 101101221,
9712: 111212112,
9713: 12112111,
9714: 12220212,
9715: 11211110,
9716: 2011212,
9717: 12010212,
9718: 11020212,
9719: 120010212,
9720: 12111120,
9721: 21211222,
9722: 12201110,
9723: 20000211,
9724: 1021020,
9725: 12020100,
9726: 22000212,
9727: 22012201,
9728: 10010112,
9729: 21102201,
9730: 121012010,
9731: 11210112,
9732: 2102112,
9733: 121020122,
9734: 2122012,
9735: 2200110,
9736: 20202200,
9737: 1001022022,
9738: 101022012,
9739: 1002221012,
9740: 1120100,
9741: 121100112,
9742: 121200222,
9743: 20012122,
9744: 100100112,
9745: 21010220,
9746: 21022122,
9747: 21112002,
9748: 1121020,
9749: 100200222,
9750: 10101000,
9751: 122102022,
9752: 202110200,
9753: 210021102,
9754: 1102202,
9755: 112202010,
9756: 121202222112,
9757: 1200111,
9758: 120111222,
9759: 120221121,
9760: 1220000,
9761: 12211011,
9762: 2001210,
9763: 200112211,
9764: 112120012,
9765: 11210220,
9766: 111010122,
9767: 2012002,
9768: 1221000,
9769: 1200102112,
9770: 11001020,
9771: 22102002,
9772: 101101112,
9773: 110210121,
9774: 1202202,
9775: 1212100,
9776: 1222000,
9777: 102101211,
9778: 1012111002,
9779: 2202221021,
9780: 10220100,
9781: 112012012,
9782: 20102010,
9783: 11221101,
9784: 201110120,
9785: 20020110,
9786: 120221010,
9787: 10012101,
9788: 20212220,
9789: 2221212201,
9790: 12022120,
9791: 10202222,
9792: 100221120,
9793: 121012101,
9794: 100222002,
9795: 122222010,
9796: 12000100,
9797: 11100001,
9798: 2102102112,
9799: 1002222122,
9800: 11211200,
9801: 2221122222,
9802: 2020202002,
9803: 101010112,
9804: 10100110212,
9805: 1000110,
9806: 1000212,
9807: 1010121,
9808: 201211120,
9809: 1010111202,
9810: 10212210,
9811: 2112220001,
9812: 112102100,
9813: 12011112,
9814: 2110010,
9815: 20101120,
9816: 200001000,
9817: 221010121,
9818: 1211001210,
9819: 20011122,
9820: 2121120,
9821: 220000221,
9822: 22011102,
9823: 2102122,
9824: 1110112,
9825: 2122200,
9826: 120221110,
9827: 201021112,
9828: 1022112,
9829: 1011001111,
9830: 20122010,
9831: 12210102,
9832: 2212200,
9833: 110100101,
9834: 10011012,
9835: 110211010,
9836: 1111222100,
9837: 21110202,
9838: 102010222,
9839: 11000002,
9840: 11001120,
9841: 222121211,
9842: 112110222,
9843: 1122102,
9844: 1120001100,
9845: 10022210,
9846: 1201212,
9847: 21102121,
9848: 112021000,
9849: 221100201,
9850: 20212200,
9851: 1012200101,
9852: 1021012020,
9853: 2010012,
9854: 110000202,
9855: 1222020,
9856: 10122112,
9857: 21222121,
9858: 1012111002,
9859: 222212001,
9860: 11112220,
9861: 21211011,
9862: 22002122,
9863: 220211201,
9864: 2022120,
9865: 2111110,
9866: 200102212,
9867: 10222212,
9868: 1012210100,
9869: 21011101,
9870: 2201010,
9871: 22022201,
9872: 2221200,
9873: 10011222,
9874: 10022110,
9875: 2212000,
9876: 2222100,
9877: 101002202,
9878: 101200110,
9879: 111020202,
9880: 22220120,
9881: 101201202,
9882: 112210110,
9883: 20102022,
9884: 1001002100,
9885: 121111020,
9886: 201101012,
9887: 222220212,
9888: 21002112,
9889: 122210220022,
9890: 112122020120,
9891: 202012221222,
9892: 1122000100,
9893: 12010102,
9894: 11012022,
9895: 111002110,
9896: 2020021000,
9897: 22100001,
9898: 22211112,
9899: 11112221222222,
9900: 112222222200,
9901: 1000001,
9902: 1000102,
9903: 2020212,
9904: 1020112,
9905: 201111120,
9906: 2001012,
9907: 2011121,
9908: 101210220,
9909: 20002000221,
9910: 1100010,
9911: 1001011,
9912: 1001112,
9913: 1221222122,
9914: 101202112,
9915: 1010021220,
9916: 100102020,
9917: 100221202,
9918: 100122210,
9919: 1000212122,
9920: 1101120,
9921: 1002021,
9922: 1002122,
9923: 201010211,
9924: 112022112,
9925: 111001200,
9926: 20120002,
9927: 1221021,
9928: 102010200,
9929: 22221102,
9930: 21121110,
9931: 1121021211,
9932: 102210212,
9933: 22220121,
9934: 200001222,
9935: 122121020,
9936: 110210112,
9937: 10101020122,
9938: 11220002,
9939: 1202112111,
9940: 21202020,
9941: 20200112,
9942: 111211212,
9943: 12001201,
9944: 21111112,
9945: 101220210,
9946: 11010222,
9947: 101121202,
9948: 120122100,
9949: 212202221,
9950: 111002200,
9951: 2010102,
9952: 12002112,
9953: 10122201,
9954: 2120202,
9955: 2210010,
9956: 2011112,
9957: 11112012,
9958: 21101002,
9959: 111222112,
9960: 2211120,
9961: 2012122,
9962: 10221012,
9963: 10202112,
9964: 11010220,
9965: 11101010,
9966: 102002010,
9967: 12020202,
9968: 12111120,
9969: 22121211,
9970: 202022110,
9971: 1100210111,
9972: 121010220,
9973: 121112112,
9974: 11121010,
9975: 1001011200,
9976: 211112112,
9977: 12102101,
9978: 1101112212,
9979: 10011212212,
9980: 1112211120,
9981: 110200221,
9982: 21012110,
9983: 210112201,
9984: 111002112,
9985: 212201220,
9986: 121100222,
9987: 22201101,
9988: 1022012112,
9989: 2002212221212,
9990: 1112222222222220,
9991: 11100001,
9992: 11101112,
9993: 211122111,
9994: 2012122002,
9995: 11110002220,
9996: 22211112,
9997: 20120222122,
9998: 111122211112,
9999: 11112222222222222222,
10000: 10000
}

for i in xrange(1, 10001):
    print i
    fi = f(i)
    if d[i] != fi:
        print "%d: %d," % (i, fi)
        d[i] = fi