1up, 1down, 2up, 1down, 3up, 1down

0:	0
1:	1,
2:	0,
3:	2,
4:	1,
5:	4,
6:	3,
7:	7,
8:	6,
9:	11,
10:	10,
11:	16,
12:	15,
13:	22,
14:	21,
15:	29,
16:	28,
17:	37,
18:	36,
19:	46,
20:	45,
21:	56,
22:	55,
23:	67,
24:	66,
25:	79,
26:	78,
27:	92,
28:	91,
29:	106,
30:	105,
31:	121,
32:	120,
33:	137,
34:	136,
35:	154,
36:	153,
37:	172,
38:	171,
39:	191,
40:	190,
41:	211,
42:	210,
43:	232,
44:	231,
45:	254,
46:	253,
47:	277,
48:	276,
49:	301,
50:	300,
51:	326,
52:	325,
53:	352,
54:	351,
55:	379,
56:	378,
57:	407,
58:	406,
59:	436,
60:	435,
61:	466,
62:	465,
63:	497,
64:	496,
65:	529,
66:	528,
67:	562,
68:	561,
69:	596,
70:	595,
71:	631,
72:	630,
73:	667,
74:	666,
75:	704,
76:	703,
77:	742,
78:	741,
79:	781,
80:	780,
81:	821,
82:	820,
83:	862,
84:	861,
85:	904,
86:	903,
87:	947,
88:	946,
89:	991,
90:	990,
91:	1036,
92:	1035,
93:	1082,
94:	1081,
95:	1129,
96:	1128,
97:	1177,
98:	1176,
99:	1226,
100:	1225,
101:	1276,
102:	1275,
103:	1327,
104:	1326,
105:	1379,
106:	1378,
107:	1432,
108:	1431,
109:	1486,
110:	1485,
111:	1541,
112:	1540,
113:	1597,
114:	1596,
115:	1654,
116:	1653,
117:	1712,
118:	1711,
119:	1771,
120:	1770,
121:	1831,
122:	1830,
123:	1892,
124:	1891,
125:	1954,
126:	1953,
127:	2017,
128:	2016,
129:	2081,
130:	2080,
131:	2146,
132:	2145,
133:	2212,
134:	2211,
135:	2279,
136:	2278,
137:	2347,
138:	2346,
139:	2416,
140:	2415,
141:	2486,
142:	2485,
143:	2557,
144:	2556,
145:	2629,
146:	2628,
147:	2702,
148:	2701,
149:	2776,
150:	2775,
151:	2851,
152:	2850,
153:	2927,
154:	2926,
155:	3004,
156:	3003,
157:	3082,
158:	3081,
159:	3161,
160:	3160,
161:	3241,
162:	3240,
163:	3322,
164:	3321,
165:	3404,
166:	3403,
167:	3487,
168:	3486,
169:	3571,
170:	3570,
171:	3656,
172:	3655,
173:	3742,
174:	3741,
175:	3829,
176:	3828,
177:	3917,
178:	3916,
179:	4006,
180:	4005,
181:	4096,
182:	4095,
183:	4187,
184:	4186,
185:	4279,
186:	4278,
187:	4372,
188:	4371,
189:	4466,
190:	4465,
191:	4561,
192:	4560,
193:	4657,
194:	4656,
195:	4754,
196:	4753,
197:	4852,
198:	4851,
199:	4951,
200:	4950,
201:	5051,
202:	5050,
203:	5152,
204:	5151,
205:	5254,
206:	5253,
207:	5357,
208:	5356,
209:	5461,
210:	5460,
211:	5566,
212:	5565,
213:	5672,
214:	5671,
215:	5779,
216:	5778,
217:	5887,
218:	5886,
219:	5996,
220:	5995,
221:	6106,
222:	6105,
223:	6217,
224:	6216,
225:	6329,
226:	6328,
227:	6442,
228:	6441,
229:	6556,
230:	6555,
231:	6671,
232:	6670,
233:	6787,
234:	6786,
235:	6904,
236:	6903,
237:	7022,
238:	7021,
239:	7141,
240:	7140,
241:	7261,
242:	7260,
243:	7382,
244:	7381,
245:	7504,
246:	7503,
247:	7627,
248:	7626,
249:	7751,
250:	7750,
251:	7876,
252:	7875,
253:	8002,
254:	8001,
255:	8129,
256:	8128,
257:	8257,
258:	8256,
259:	8386,
260:	8385,
261:	8516,
262:	8515,
263:	8647,
264:	8646,
265:	8779,
266:	8778,
267:	8912,
268:	8911,
269:	9046,
270:	9045,
271:	9181,
272:	9180,
273:	9317,
274:	9316,
275:	9454,
276:	9453,
277:	9592,
278:	9591,
279:	9731,
280:	9730,
281:	9871,
282:	9870,
283:	10012,
284:	10011,
285:	10154,
286:	10153,
287:	10297,
288:	10296,
289:	10441,
290:	10440,
291:	10586,
292:	10585,
293:	10732,
294:	10731,
295:	10879,
296:	10878,
297:	11027,
298:	11026,
299:	11176,
300:	11175,
301:	11326,
302:	11325,
303:	11477,
304:	11476,
305:	11629,
306:	11628,
307:	11782,
308:	11781,
309:	11936,
310:	11935,
311:	12091,
312:	12090,
313:	12247,
314:	12246,
315:	12404,
316:	12403,
317:	12562,
318:	12561,
319:	12721,
320:	12720,
321:	12881,
322:	12880,
323:	13042,
324:	13041,
325:	13204,
326:	13203,
327:	13367,
328:	13366,
329:	13531,
330:	13530,
331:	13696,
332:	13695,
333:	13862,
334:	13861,
335:	14029,
336:	14028,
337:	14197,
338:	14196,
339:	14366,
340:	14365,
341:	14536,
342:	14535,
343:	14707,
344:	14706,
345:	14879,
346:	14878,
347:	15052,
348:	15051,
349:	15226,
350:	15225,
351:	15401,
352:	15400,
353:	15577,
354:	15576,
355:	15754,
356:	15753,
357:	15932,
358:	15931,
359:	16111,
360:	16110,
361:	16291,
362:	16290,
363:	16472,
364:	16471,
365:	16654,
366:	16653,
367:	16837,
368:	16836,
369:	17021,
370:	17020,
371:	17206,
372:	17205,
373:	17392,
374:	17391,
375:	17579,
376:	17578,
377:	17767,
378:	17766,
379:	17956,
380:	17955,
381:	18146,
382:	18145,
383:	18337,
384:	18336,
385:	18529,
386:	18528,
387:	18722,
388:	18721,
389:	18916,
390:	18915,
391:	19111,
392:	19110,
393:	19307,
394:	19306,
395:	19504,
396:	19503,
397:	19702,
398:	19701,
399:	19901,
400:	19900,
401:	20101,
402:	20100,
403:	20302,
404:	20301,
405:	20504,
406:	20503,
407:	20707,
408:	20706,
409:	20911,
410:	20910,
411:	21116,
412:	21115,
413:	21322,
414:	21321,
415:	21529,
416:	21528,
417:	21737,
418:	21736,
419:	21946,
420:	21945,
421:	22156,
422:	22155,
423:	22367,
424:	22366,
425:	22579,
426:	22578,
427:	22792,
428:	22791,
429:	23006,
430:	23005,
431:	23221,
432:	23220,
433:	23437,
434:	23436,
435:	23654,
436:	23653,
437:	23872,
438:	23871,
439:	24091,
440:	24090,
441:	24311,
442:	24310,
443:	24532,
444:	24531,
445:	24754,
446:	24753,
447:	24977,
448:	24976,
449:	25201,
450:	25200,
451:	25426,
452:	25425,
453:	25652,
454:	25651,
455:	25879,
456:	25878,
457:	26107,
458:	26106,
459:	26336,
460:	26335,
461:	26566,
462:	26565,
463:	26797,
464:	26796,
465:	27029,
466:	27028,
467:	27262,
468:	27261,
469:	27496,
470:	27495,
471:	27731,
472:	27730,
473:	27967,
474:	27966,
475:	28204,
476:	28203,
477:	28442,
478:	28441,
479:	28681,
480:	28680,
481:	28921,
482:	28920,
483:	29162,
484:	29161,
485:	29404,
486:	29403,
487:	29647,
488:	29646,
489:	29891,
490:	29890,
491:	30136,
492:	30135,
493:	30382,
494:	30381,
495:	30629,
496:	30628,
497:	30877,
498:	30876,
499:	31126,
500:	31125,
501:	31376,
502:	31375,
503:	31627,
504:	31626,
505:	31879,
506:	31878,
507:	32132,
508:	32131,
509:	32386,
510:	32385,
511:	32641,
512:	32640,
513:	32897,
514:	32896,
515:	33154,
516:	33153,
517:	33412,
518:	33411,
519:	33671,
520:	33670,
521:	33931,
522:	33930,
523:	34192,
524:	34191,
525:	34454,
526:	34453,
527:	34717,
528:	34716,
529:	34981,
530:	34980,
531:	35246,
532:	35245,
533:	35512,
534:	35511,
535:	35779,
536:	35778,
537:	36047,
538:	36046,
539:	36316,
540:	36315,
541:	36586,
542:	36585,
543:	36857,
544:	36856,
545:	37129,
546:	37128,
547:	37402,
548:	37401,
549:	37676,
550:	37675,
551:	37951,
552:	37950,
553:	38227,
554:	38226,
555:	38504,
556:	38503,
557:	38782,
558:	38781,
559:	39061,
560:	39060,
561:	39341,
562:	39340,
563:	39622,
564:	39621,
565:	39904,
566:	39903,
567:	40187,
568:	40186,
569:	40471,
570:	40470,
571:	40756,
572:	40755,
573:	41042,
574:	41041,
575:	41329,
576:	41328,
577:	41617,
578:	41616,
579:	41906,
580:	41905,
581:	42196,
582:	42195,
583:	42487,
584:	42486,
585:	42779,
586:	42778,
587:	43072,
588:	43071,
589:	43366,
590:	43365,
591:	43661,
592:	43660,
593:	43957,
594:	43956,
595:	44254,
596:	44253,
597:	44552,
598:	44551,
599:	44851,
600:	44850,
601:	45151,
602:	45150,
603:	45452,
604:	45451,
605:	45754,
606:	45753,
607:	46057,
608:	46056,
609:	46361,
610:	46360,
611:	46666,
612:	46665,
613:	46972,
614:	46971,
615:	47279,
616:	47278,
617:	47587,
618:	47586,
619:	47896,
620:	47895,
621:	48206,
622:	48205,
623:	48517,
624:	48516,
625:	48829,
626:	48828,
627:	49142,
628:	49141,
629:	49456,
630:	49455,
631:	49771,
632:	49770,
633:	50087,
634:	50086,
635:	50404,
636:	50403,
637:	50722,
638:	50721,
639:	51041,
640:	51040,
641:	51361,
642:	51360,
643:	51682,
644:	51681,
645:	52004,
646:	52003,
647:	52327,
648:	52326,
649:	52651,
650:	52650,
651:	52976,
652:	52975,
653:	53302,
654:	53301,
655:	53629,
656:	53628,
657:	53957,
658:	53956,
659:	54286,
660:	54285,
661:	54616,
662:	54615,
663:	54947,
664:	54946,
665:	55279,
666:	55278,
667:	55612,
668:	55611,
669:	55946,
670:	55945,
671:	56281,
672:	56280,
673:	56617,
674:	56616,
675:	56954,
676:	56953,
677:	57292,
678:	57291,
679:	57631,
680:	57630,
681:	57971,
682:	57970,
683:	58312,
684:	58311,
685:	58654,
686:	58653,
687:	58997,
688:	58996,
689:	59341,
690:	59340,
691:	59686,
692:	59685,
693:	60032,
694:	60031,
695:	60379,
696:	60378,
697:	60727,
698:	60726,
699:	61076,
700:	61075,
701:	61426,
702:	61425,
703:	61777,
704:	61776,
705:	62129,
706:	62128,
707:	62482,
708:	62481,
709:	62836,
710:	62835,
711:	63191,
712:	63190,
713:	63547,
714:	63546,
715:	63904,
716:	63903,
717:	64262,
718:	64261,
719:	64621,
720:	64620,
721:	64981,
722:	64980,
723:	65342,
724:	65341,
725:	65704,
726:	65703,
727:	66067,
728:	66066,
729:	66431,
730:	66430,
731:	66796,
732:	66795,
733:	67162,
734:	67161,
735:	67529,
736:	67528,
737:	67897,
738:	67896,
739:	68266,
740:	68265,
741:	68636,
742:	68635,
743:	69007,
744:	69006,
745:	69379,
746:	69378,
747:	69752,
748:	69751,
749:	70126,
750:	70125,
751:	70501,
752:	70500,
753:	70877,
754:	70876,
755:	71254,
756:	71253,
757:	71632,
758:	71631,
759:	72011,
760:	72010,
761:	72391,
762:	72390,
763:	72772,
764:	72771,
765:	73154,
766:	73153,
767:	73537,
768:	73536,
769:	73921,
770:	73920,
771:	74306,
772:	74305,
773:	74692,
774:	74691,
775:	75079,
776:	75078,
777:	75467,
778:	75466,
779:	75856,
780:	75855,
781:	76246,
782:	76245,
783:	76637,
784:	76636,
785:	77029,
786:	77028,
787:	77422,
788:	77421,
789:	77816,
790:	77815,
791:	78211,
792:	78210,
793:	78607,
794:	78606,
795:	79004,
796:	79003,
797:	79402,
798:	79401,
799:	79801,
800:	79800,
801:	80201,
802:	80200,
803:	80602,
804:	80601,
805:	81004,
806:	81003,
807:	81407,
808:	81406,
809:	81811,
810:	81810,
811:	82216,
812:	82215,
813:	82622,
814:	82621,
815:	83029,
816:	83028,
817:	83437,
818:	83436,
819:	83846,
820:	83845,
821:	84256,
822:	84255,
823:	84667,
824:	84666,
825:	85079,
826:	85078,
827:	85492,
828:	85491,
829:	85906,
830:	85905,
831:	86321,
832:	86320,
833:	86737,
834:	86736,
835:	87154,
836:	87153,
837:	87572,
838:	87571,
839:	87991,
840:	87990,
841:	88411,
842:	88410,
843:	88832,
844:	88831,
845:	89254,
846:	89253,
847:	89677,
848:	89676,
849:	90101,
850:	90100,
851:	90526,
852:	90525,
853:	90952,
854:	90951,
855:	91379,
856:	91378,
857:	91807,
858:	91806,
859:	92236,
860:	92235,
861:	92666,
862:	92665,
863:	93097,
864:	93096,
865:	93529,
866:	93528,
867:	93962,
868:	93961,
869:	94396,
870:	94395,
871:	94831,
872:	94830,
873:	95267,
874:	95266,
875:	95704,
876:	95703,
877:	96142,
878:	96141,
879:	96581,
880:	96580,
881:	97021,
882:	97020,
883:	97462,
884:	97461,
885:	97904,
886:	97903,
887:	98347,
888:	98346,
889:	98791,
890:	98790,
891:	99236,
892:	99235,
893:	99682,
894:	99681,
895:	100129,
896:	100128,
897:	100577,
898:	100576,
899:	101026,
900:	101025,
901:	101476,
902:	101475,
903:	101927,
904:	101926,
905:	102379,
906:	102378,
907:	102832,
908:	102831,
909:	103286,
910:	103285,
911:	103741,
912:	103740,
913:	104197,
914:	104196,
915:	104654,
916:	104653,
917:	105112,
918:	105111,
919:	105571,
920:	105570,
921:	106031,
922:	106030,
923:	106492,
924:	106491,
925:	106954,
926:	106953,
927:	107417,
928:	107416,
929:	107881,
930:	107880,
931:	108346,
932:	108345,
933:	108812,
934:	108811,
935:	109279,
936:	109278,
937:	109747,
938:	109746,
939:	110216,
940:	110215,
941:	110686,
942:	110685,
943:	111157,
944:	111156,
945:	111629,
946:	111628,
947:	112102,
948:	112101,
949:	112576,
950:	112575,
951:	113051,
952:	113050,
953:	113527,
954:	113526,
955:	114004,
956:	114003,
957:	114482,
958:	114481,
959:	114961,
960:	114960,
961:	115441,
962:	115440,
963:	115922,
964:	115921,
965:	116404,
966:	116403,
967:	116887,
968:	116886,
969:	117371,
970:	117370,
971:	117856,
972:	117855,
973:	118342,
974:	118341,
975:	118829,
976:	118828,
977:	119317,
978:	119316,
979:	119806,
980:	119805,
981:	120296,
982:	120295,
983:	120787,
984:	120786,
985:	121279,
986:	121278,
987:	121772,
988:	121771,
989:	122266,
990:	122265,
991:	122761,
992:	122760,
993:	123257,
994:	123256,
995:	123754,
996:	123753,
997:	124252,
998:	124251,
999:	124751,
1000:	124750,
1001:	125251,
1002:	125250,
1003:	125752,
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