124:
25:
1165:
249:
447:
The formula reflects the fact that any five consecutive months in the range March–January have a total length of 153 days, due to a fixed pattern 31–30–31–30–31 repeating itself twice. This is similar to encoding of the month offset (which would be the same sequence modulo 7) in Zeller's
2015:
1832:
1652:
1363:
1132:
874:
803:
1903:
1723:
1543:
670:
1275:
1410:
227:, which still seen in old programming languages and spreadsheet software. The older names are deprecated because they are easily confused with the earlier dating system called '
1454:
717:
749:
596:
622:
1477:
1909:
1729:
1549:
556:, where 306 is the number of dates in March through December. This makes use of the fact that the formula correctly gives a month-length of 31 for January.
1281:
127:
54:
1065:
822:
196:
format. The year may sometimes be omitted, if it is implied by the context; the day may be generalized from integers to include a
757:
1852:
123:
1672:
1492:
630:
340:
The most trivial method of calculating the ordinal day involves counting up all days that have elapsed per the definition:
1227:
1208:
292:
76:
1190:
274:
47:
310:
305:
Computation of the ordinal day within a year is part of calculating the ordinal day throughout the years from a
1175:
259:
1371:
393:
The table of month lengths can be replaced following the method of encoding the month-length variation in
235:, which was in prior use and which remains ubiquitous in astronomical and some historical calculations.
131:
92:
37:
3072:
41:
33:
1186:
270:
1415:
3016:
394:
306:
58:
687:
722:
572:
8:
601:
464:
is 30.6, the sequence oscillates in the desired pattern with the desired period 5.
2010:{\displaystyle d={\bmod {\!}}\!(300,30)+2-\left\lfloor 0.6(11+1)\right\rfloor =0+2-7=-5}
1827:{\displaystyle d={\bmod {\!}}\!(200,30)+3-\left\lfloor 0.6(7+1)\right\rfloor =20+3-4=19}
1647:{\displaystyle d={\bmod {\!}}\!(100,30)+3-\left\lfloor 0.6(4+1)\right\rfloor =10+3-3=10}
1459:
3067:
1182:
266:
170:, ranging between 1 and 366 (starting on January 1), representing the multiples of a
3041:
332:, for the year, month, and day numbers of the Gregorian or Julian calendar date.
193:
192:). The two parts of the date can be formatted as "YYYY-DDD" to comply with the
166:
3061:
3021:
1358:{\displaystyle d={\bmod {\!}}\!(od,30)+i-\left\lfloor 0.6(m+1)\right\rfloor }
563:
155:
385:
Similarly trivial is the use of a lookup table, such as the one referenced.
467:
To go from the March 1 based ordinal day to a
January 1 based ordinal day:
197:
503:
is a function returning 0 or 1 depending whether the input is a leap year.
316:
In the following text, several algorithms for calculating the ordinal day
214:
3011:
228:
1148:
313:, though for this purpose modulo 7 simplifications can be made.
1193:. Statements consisting only of original research should be removed.
277:. Statements consisting only of original research should be removed.
682:
3, 4, 5, and 6, i.e., between 4/4, 6/6, 8/8, 10/10, and 12/12.
1920:
1740:
1560:
1376:
1292:
1127:{\displaystyle 30(m-1)+\left\lfloor 0.6(m+1)\right\rfloor -i}
869:{\displaystyle O=\left\lfloor 63.2n-56+119-0.4\right\rfloor }
160:
370:, taking care of leap year according to the calendar used.
798:{\displaystyle O=\left\lfloor 63.2n-56+0.2\right\rfloor }
172:
3042:"Table of ordinal day number for various calendar dates"
1898:{\displaystyle m=\left\lfloor 300/30\right\rfloor +1=11}
675:
giving consecutive differences of 63 (9 weeks) for
1718:{\displaystyle m=\left\lfloor 200/30\right\rfloor +1=7}
1538:{\displaystyle m=\left\lfloor 100/30\right\rfloor +1=4}
665:{\displaystyle O=\left\lfloor 63.2n-91.4\right\rfloor }
427:. As a result, the March 1-based ordinal day number is
211:
is the preferred name for what was formerly called the
415:. It can be shown (see below) that for a month-number
1912:
1855:
1732:
1675:
1552:
1495:
1462:
1418:
1374:
1284:
1230:
1068:
825:
760:
725:
690:
633:
604:
575:
419:, the total days of the preceding months is equal to
1270:{\displaystyle m=\left\lfloor od/30\right\rfloor +1}
506:For January and February, two methods can be used:
2009:
1897:
1826:
1717:
1646:
1537:
1471:
1448:
1404:
1357:
1269:
1126:
868:
797:
743:
711:
664:
616:
590:
1927:
1924:
1747:
1744:
1567:
1564:
1383:
1380:
1299:
1296:
509:The trivial method is to skip the calculation of
3059:
46:but its sources remain unclear because it lacks
886:(difference between 5/9 and 9/5), and also for
879:giving a difference of 119 (17 weeks) for
309:, such as the Julian date. It is also part of
134:with ordinal date (without year) prepended, on
1221:The number of the month and date is given by
1139:For example, the ordinal date of April 15 is
320:are presented. The inputs taken are integers
2025:
1209:Learn how and when to remove this message
293:Learn how and when to remove this message
77:Learn how and when to remove this message
122:
3060:
1405:{\displaystyle {\bmod {\!}}\!(od,30)}
1158:
893:(difference between 7/11 and 11/7).
542:The less redundant method is to use
242:
130:'s board with time data, displaying
18:
2021:November - 5 = October 26 (31 - 5).
13:
335:
200:representing a fraction of a day.
14:
3084:
2995:
1163:
247:
97:expressed according to ISO 8601
23:
311:calculating the day of the week
203:
3034:
1972:
1960:
1940:
1928:
1792:
1780:
1760:
1748:
1612:
1600:
1580:
1568:
1443:
1431:
1399:
1384:
1347:
1335:
1315:
1300:
1110:
1098:
1084:
1072:
388:
238:
1:
3027:
1154:
7:
3005:
1189:the claims made and adding
273:the claims made and adding
10:
3089:
1449:{\displaystyle od-30(m-1)}
1062:
478:(March through December),
362:, add the length of month
158:typically consisting of a
2123:
2110:
2095:
2087:
2077:
2067:
2052:
1663:Day 200 of a common year:
1483:Day 100 of a common year:
113:
103:
1412:can also be replaced by
896:
32:This article includes a
2026:Helper conversion table
1843:Day 300 of a leap year:
439:− 3) + 2) / 5⌋ +
61:more precise citations.
2011:
1899:
1828:
1719:
1648:
1539:
1473:
1450:
1406:
1359:
1271:
1143:in a common year, and
1128:
870:
799:
745:
713:
712:{\displaystyle m=2n+1}
666:
618:
592:
147:
128:Mission control center
16:Date written as number
2012:
1900:
1829:
1720:
1649:
1540:
1474:
1451:
1407:
1360:
1272:
1129:
871:
800:
746:
744:{\displaystyle d=m+4}
714:
667:
619:
593:
194:ISO 8601 ordinal date
126:
1910:
1853:
1730:
1673:
1550:
1493:
1460:
1416:
1372:
1282:
1228:
1066:
823:
758:
723:
688:
631:
602:
591:{\displaystyle m=2n}
573:
518:and go straight for
425:− 3) + 2) / 5⌋
397:. As in Zeller, the
3017:Zeller's congruence
617:{\displaystyle d=m}
395:Zeller's congruence
100:
2007:
1895:
1824:
1715:
1644:
1535:
1479:the ordinal date.
1472:{\displaystyle od}
1469:
1446:
1402:
1355:
1267:
1174:possibly contains
1124:
866:
795:
741:
709:
662:
614:
588:
258:possibly contains
182:ordinal day number
148:
142:October 2013 (i.e.
89:
34:list of references
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2016:
2014:
2013:
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1979:
1975:
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1191:inline citations
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528:for January and
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57:this article by
48:inline citations
27:
26:
19:
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3073:Ordinal numbers
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2506:
2500:
2485:
2479:
2463:
2426:
2420:
2405:
2399:
2383:
2346:
2328:
2322:
2306:
2271:
2266:
2261:
2248:
2230:
2224:
2208:
2156:
2150:
2134:
2111:
2096:
2053:
2044:
2039:
2034:
2028:
1956:
1952:
1923:
1919:
1911:
1908:
1907:
1870:
1866:
1862:
1854:
1851:
1850:
1776:
1772:
1743:
1739:
1731:
1728:
1727:
1690:
1686:
1682:
1674:
1671:
1670:
1596:
1592:
1563:
1559:
1551:
1548:
1547:
1510:
1506:
1502:
1494:
1491:
1490:
1461:
1458:
1457:
1417:
1414:
1413:
1379:
1375:
1373:
1370:
1369:
1331:
1327:
1295:
1291:
1283:
1280:
1279:
1248:
1241:
1237:
1229:
1226:
1225:
1215:
1204:
1198:
1195:
1180:
1168:
1164:
1157:
1144:
1140:
1094:
1090:
1067:
1064:
1063:
963:
958:
953:
948:
943:
938:
933:
928:
923:
918:
913:
908:
899:
888:
887:
881:
880:
836:
832:
824:
821:
820:
771:
767:
759:
756:
755:
724:
721:
720:
689:
686:
685:
677:
676:
644:
640:
632:
629:
628:
603:
600:
599:
574:
571:
570:
553:
543:
529:
519:
516:
510:
500:
490:
480:
479:
472:
458:
455:
452:
451:
449:
448:congruence. As
434:
428:
420:
416:
409:
402:
398:
391:
363:
352:
338:
336:Trivial methods
329:
325:
321:
317:
299:
288:
282:
279:
264:
252:
248:
241:
232:
224:
220:
206:
184:(also known as
178:day of the year
143:
139:
135:
107:
90:
83:
72:
66:
63:
52:
38:related reading
28:
24:
17:
12:
11:
5:
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904:To the day of
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737:
734:
731:
728:
708:
705:
702:
699:
696:
693:
673:
672:
660:
656:
653:
650:
647:
643:
639:
636:
613:
610:
607:
587:
584:
581:
578:
566:" properties:
560:
559:
558:
557:
551:
540:
514:
504:
491:+ 59 + isLeap(
488:
432:
401:is changed to
390:
387:
383:
382:
371:
349:
337:
334:
307:reference date
301:
300:
256:This section
255:
253:
246:
240:
237:
205:
202:
167:ordinal number
132:universal time
119:
118:
115:
111:
110:
105:
91:Today's date (
85:
84:
42:external links
31:
29:
22:
15:
9:
6:
4:
3:
2:
3085:
3074:
3071:
3069:
3066:
3065:
3063:
3043:
3037:
3033:
3023:
3022:ISO week date
3020:
3018:
3015:
3013:
3010:
3009:
2998:
2992:
2991:
2987:
2984:
2981:
2980:
2976:
2973:
2971:
2968:
2967:
2963:
2960:
2958:
2955:
2954:
2947:
2941:
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2932:
2926:
2920:
2917:
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2912:
2910:
2904:
2901:
2900:
2896:
2893:
2891:
2888:
2887:
2883:
2880:
2878:
2875:
2874:
2867:
2861:
2859:
2856:
2855:
2852:
2846:
2840:
2837:
2836:
2832:
2830:
2824:
2821:
2820:
2816:
2813:
2811:
2808:
2807:
2803:
2800:
2798:
2795:
2794:
2788:
2783:
2778:
2777:
2766:
2760:
2758:
2755:
2754:
2751:
2745:
2739:
2736:
2735:
2731:
2729:
2723:
2720:
2719:
2715:
2712:
2710:
2707:
2706:
2702:
2699:
2697:
2694:
2693:
2686:
2680:
2678:
2675:
2674:
2671:
2665:
2659:
2656:
2655:
2651:
2649:
2643:
2640:
2639:
2635:
2632:
2630:
2627:
2626:
2622:
2619:
2617:
2614:
2613:
2606:
2600:
2598:
2595:
2594:
2591:
2585:
2579:
2576:
2575:
2571:
2569:
2563:
2560:
2559:
2555:
2552:
2550:
2547:
2546:
2542:
2539:
2537:
2534:
2533:
2527:
2522:
2517:
2516:
2505:
2499:
2497:
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2493:
2490:
2484:
2478:
2475:
2474:
2470:
2468:
2462:
2459:
2458:
2454:
2451:
2449:
2446:
2445:
2441:
2438:
2436:
2433:
2432:
2425:
2419:
2417:
2414:
2413:
2410:
2404:
2398:
2395:
2394:
2390:
2388:
2382:
2379:
2378:
2374:
2371:
2369:
2366:
2365:
2361:
2358:
2356:
2353:
2352:
2345:
2342:
2340:
2337:
2336:
2333:
2327:
2321:
2318:
2317:
2313:
2311:
2305:
2302:
2301:
2297:
2294:
2292:
2289:
2288:
2284:
2281:
2279:
2276:
2275:
2269:
2264:
2259:
2258:
2247:
2244:
2242:
2239:
2238:
2235:
2229:
2223:
2220:
2219:
2215:
2213:
2207:
2204:
2203:
2199:
2196:
2194:
2191:
2190:
2186:
2183:
2181:
2178:
2177:
2173:
2170:
2168:
2165:
2164:
2161:
2155:
2149:
2146:
2145:
2141:
2139:
2133:
2131:
2128:
2127:
2121:
2118:
2117:
2108:
2105:
2104:
2101:
2092:
2091:
2085:
2082:
2081:
2075:
2072:
2071:
2065:
2062:
2061:
2058:
2049:
2048:
2042:
2037:
2032:
2031:
2020:
2004:
2001:
1998:
1995:
1992:
1989:
1986:
1983:
1980:
1976:
1969:
1966:
1963:
1957:
1953:
1949:
1946:
1943:
1937:
1934:
1931:
1916:
1913:
1906:
1892:
1889:
1886:
1883:
1879:
1875:
1871:
1867:
1863:
1859:
1856:
1849:
1848:
1847:
1846:
1842:
1841:
1837:
1821:
1818:
1815:
1812:
1809:
1806:
1803:
1800:
1796:
1789:
1786:
1783:
1777:
1773:
1769:
1766:
1763:
1757:
1754:
1751:
1736:
1733:
1726:
1712:
1709:
1706:
1703:
1699:
1695:
1691:
1687:
1683:
1679:
1676:
1669:
1668:
1667:
1666:
1662:
1661:
1657:
1641:
1638:
1635:
1632:
1629:
1626:
1623:
1620:
1616:
1609:
1606:
1603:
1597:
1593:
1589:
1586:
1583:
1577:
1574:
1571:
1556:
1553:
1546:
1532:
1529:
1526:
1523:
1519:
1515:
1511:
1507:
1503:
1499:
1496:
1489:
1488:
1487:
1486:
1482:
1481:
1480:
1466:
1463:
1440:
1437:
1434:
1428:
1425:
1422:
1419:
1396:
1393:
1390:
1387:
1351:
1344:
1341:
1338:
1332:
1328:
1324:
1321:
1318:
1312:
1309:
1306:
1303:
1288:
1285:
1278:
1264:
1261:
1257:
1253:
1249:
1245:
1242:
1238:
1234:
1231:
1224:
1223:
1222:
1213:
1210:
1202:
1192:
1188:
1184:
1178:
1177:
1172:This section
1170:
1161:
1160:
1152:
1150:
1145:91 + 15 = 106
1141:90 + 15 = 105
1121:
1118:
1114:
1107:
1104:
1101:
1095:
1091:
1087:
1081:
1078:
1075:
1069:
1059:
1058:
1054:
1051:
1048:
1045:
1042:
1039:
1036:
1033:
1030:
1027:
1024:
1021:
1018:
1015:
1014:
1010:
1007:
1004:
1001:
998:
995:
992:
989:
986:
983:
980:
977:
974:
971:
970:
966:
961:
956:
951:
946:
941:
936:
931:
926:
921:
916:
911:
906:
903:
902:
894:
862:
858:
855:
852:
849:
846:
843:
840:
837:
833:
829:
826:
819:
818:
817:
816:interchanged
815:
811:
791:
787:
784:
781:
778:
775:
772:
768:
764:
761:
754:
753:
752:
738:
735:
732:
729:
726:
706:
703:
700:
697:
694:
691:
683:
658:
654:
651:
648:
645:
641:
637:
634:
627:
626:
625:
611:
608:
605:
585:
582:
579:
576:
567:
565:
550:
546:
541:
539:for February.
536:
532:
526:
522:
513:
508:
507:
505:
494:
487:
483:
475:
470:
469:
468:
465:
445:
442:
438:
431:
424:
412:
405:
396:
386:
380:
376:
372:
369:
359:
355:
350:
347:
343:
342:
341:
333:
314:
312:
308:
297:
294:
286:
276:
272:
268:
262:
261:
254:
245:
244:
236:
230:
218:
216:
210:
201:
199:
195:
191:
187:
183:
179:
175:
174:
169:
168:
163:
162:
157:
156:calendar date
153:
133:
129:
125:
116:
112:
106:
102:
94:
81:
78:
70:
60:
56:
50:
49:
43:
39:
35:
30:
21:
20:
3045:. Retrieved
3036:
2969:
2956:
2937:
2930:
2908:
2889:
2876:
2857:
2850:
2828:
2809:
2796:
2756:
2749:
2727:
2708:
2695:
2676:
2669:
2647:
2628:
2615:
2596:
2589:
2567:
2548:
2535:
2495:
2488:
2466:
2447:
2434:
2415:
2408:
2386:
2367:
2354:
2338:
2331:
2309:
2290:
2277:
2240:
2233:
2211:
2192:
2179:
2166:
2159:
2137:
2129:
2119:
2106:
2099:
2083:
2073:
2063:
2056:
1367:
1220:
1205:
1196:
1173:
1138:
878:
813:
809:
807:
684:
674:
568:
561:
548:
544:
534:
530:
524:
520:
511:
492:
485:
481:
473:
466:
446:
440:
436:
429:
422:
410:
403:
392:
384:
378:
374:
367:
357:
353:
345:
339:
315:
304:
289:
280:
257:
212:
209:Ordinal date
208:
207:
204:Nomenclature
198:decimal part
189:
185:
181:
177:
171:
165:
159:
152:ordinal date
151:
149:
114:Ordinal date
73:
64:
53:Please help
45:
1199:August 2019
1016:Leap years
554:− 306
435:= ⌊(153 × (
389:Zeller-like
283:August 2019
239:Calculation
231:number' or
215:Julian date
186:ordinal day
59:introducing
3062:Categories
3047:2021-04-08
3028:References
3012:Julian day
1183:improve it
1060:Algorithm
476:≤ 12
267:improve it
229:Julian day
190:day number
108:2024-09-21
3068:Calendars
2002:−
1993:−
1950:−
1813:−
1770:−
1658:April 10.
1633:−
1590:−
1438:−
1426:−
1368:the term
1325:−
1187:verifying
1155:Month–day
1149:leap year
1119:−
1079:−
856:−
844:−
808:and with
779:−
652:−
421:⌊(153 * (
413:≤ 2
271:verifying
176:, called
146:2013-295)
67:July 2019
3006:See also
1977:⌋
1954:⌊
1880:⌋
1864:⌊
1838:July 19.
1797:⌋
1774:⌊
1700:⌋
1684:⌊
1617:⌋
1594:⌊
1520:⌋
1504:⌊
1352:⌋
1329:⌊
1258:⌋
1239:⌊
1115:⌋
1092:⌊
863:⌋
834:⌊
792:⌋
769:⌊
659:⌋
642:⌊
564:Doomsday
117:2024-265
2999:31 Dec
2988:30 Dec
2977:25 Dec
2964:15 Dec
2913:30 Nov
2897:25 Nov
2884:15 Nov
2833:31 Oct
2817:26 Oct
2804:16 Oct
2732:30 Sep
2716:26 Sep
2703:16 Sep
2652:31 Aug
2636:27 Aug
2623:17 Aug
2572:31 Jul
2556:28 Jul
2543:18 Jul
2471:30 Jun
2455:28 Jun
2442:18 Jun
2391:31 May
2375:29 May
2362:19 May
2314:30 Apr
2298:29 Apr
2285:19 Apr
2216:31 Mar
2200:30 Mar
2187:20 Mar
2174:10 Mar
2142:29 Feb
2124:19 Feb
2088:30 Jan
2078:20 Jan
2068:10 Jan
2038:common
1181:Please
462:
450:
356:= 1 ..
265:Please
164:and an
55:improve
2985:31 Dec
2974:26 Dec
2961:16 Dec
2951:5 Dec
2894:26 Nov
2881:16 Nov
2871:5 Nov
2814:27 Oct
2801:17 Oct
2784:comm.
2770:6 Oct
2713:27 Sep
2700:17 Sep
2690:6 Sep
2633:28 Aug
2620:18 Aug
2610:7 Aug
2553:29 Jul
2540:19 Jul
2523:comm.
2509:8 Jul
2452:29 Jun
2439:19 Jun
2429:8 Jun
2372:30 May
2359:20 May
2349:9 May
2343:10 May
2295:30 Apr
2282:20 Apr
2265:comm.
2251:9 Apr
2245:10 Apr
2197:31 Mar
2184:21 Mar
2171:11 Mar
2114:9 Feb
751:gives
624:gives
501:isLeap
499:where
144:
140:
136:
2945:6 Dec
2931:1 Dec
2924:2 Dec
2909:1 Dec
2865:6 Nov
2851:1 Nov
2844:2 Nov
2829:1 Nov
2791:year
2789:leap
2779:ord.
2764:7 Oct
2750:1 Oct
2743:2 Oct
2728:1 Oct
2684:7 Sep
2670:1 Sep
2663:2 Sep
2648:1 Sep
2604:8 Aug
2590:1 Aug
2583:2 Aug
2568:1 Aug
2530:year
2528:leap
2518:ord.
2503:9 Jul
2489:1 Jul
2482:2 Jul
2467:1 Jul
2423:9 Jun
2409:1 Jun
2402:2 Jun
2387:1 Jun
2332:1 May
2325:2 May
2310:1 May
2272:year
2270:leap
2260:ord.
2234:1 Apr
2227:2 Apr
2212:1 Apr
2160:1 Mar
2153:2 Mar
2138:1 Mar
2100:1 Feb
2057:1 Jan
2045:year
2043:leap
2033:ord.
1456:with
1147:in a
897:Table
569:With
351:From
348:be 0.
225:JDATE
223:, or
154:is a
40:, or
2786:year
2781:date
2525:year
2520:date
2267:year
2262:date
2040:year
2035:date
972:Add
964:Dec
838:63.2
812:and
773:63.2
719:and
680:= 2,
655:91.4
646:63.2
598:and
537:+ 31
471:For
406:+ 12
373:Add
344:Let
328:and
161:year
138:22nd
104:Date
2993:366
2982:365
2970:360
2957:350
2938:340
2918:336
2902:335
2890:330
2877:320
2858:310
2838:306
2822:305
2810:300
2797:290
2757:280
2737:275
2721:274
2709:270
2696:260
2677:250
2657:245
2641:244
2629:240
2616:230
2597:220
2577:214
2561:213
2549:210
2536:200
2496:190
2476:183
2460:182
2448:180
2435:170
2416:160
2396:153
2380:152
2368:150
2355:140
2339:130
2319:122
2303:121
2291:120
2278:110
2241:100
2221:092
2205:091
2193:090
2180:080
2167:070
2147:061
2130:060
2120:050
2107:040
2093:032
2084:030
2074:020
2064:010
2050:001
1958:0.6
1932:300
1921:mod
1868:300
1778:0.6
1752:200
1741:mod
1688:200
1598:0.6
1572:100
1561:mod
1508:100
1377:mod
1333:0.6
1293:mod
1185:by
1096:0.6
1052:335
1049:305
1046:274
1043:244
1040:213
1037:182
1034:152
1031:121
1008:334
1005:304
1002:273
999:243
996:212
993:181
990:151
987:120
959:Nov
954:Oct
949:Sep
944:Aug
939:Jul
934:Jun
929:May
924:Apr
919:Mar
914:Feb
909:Jan
891:= 3
884:= 2
859:0.4
853:119
788:0.2
552:Mar
515:Mar
489:Mar
453:153
433:Mar
408:if
377:to
366:to
360:- 1
269:by
233:JDN
219:or
188:or
180:or
173:day
150:An
93:UTC
3064::
1964:11
1938:30
1893:11
1876:30
1822:19
1804:20
1758:30
1696:30
1642:10
1624:10
1578:30
1516:30
1429:30
1397:30
1313:30
1254:30
1151:.
1070:30
1055:2
1028:91
1025:60
1022:31
1011:3
984:90
981:59
978:31
967:i
962:12
957:11
952:10
912:14
907:13
847:56
782:56
547:=
533:=
523:=
484:=
444:.
324:,
221:JD
44:,
36:,
3050:.
2996:—
2949:0
2943:0
2928:0
2922:0
2906:0
2869:0
2863:0
2848:0
2842:0
2826:0
2768:0
2762:0
2747:0
2741:0
2725:0
2688:0
2682:0
2667:0
2661:0
2645:0
2608:0
2602:0
2587:0
2581:0
2565:0
2507:0
2501:0
2486:0
2480:0
2464:0
2427:0
2421:0
2406:0
2400:0
2384:0
2347:0
2329:0
2323:0
2307:0
2249:0
2231:0
2225:0
2209:0
2157:0
2151:0
2135:0
2112:0
2097:0
2054:0
2005:5
1999:=
1996:7
1990:2
1987:+
1984:0
1981:=
1973:)
1970:1
1967:+
1961:(
1947:2
1944:+
1941:)
1935:,
1929:(
1917:=
1914:d
1890:=
1887:1
1884:+
1872:/
1860:=
1857:m
1819:=
1816:4
1810:3
1807:+
1801:=
1793:)
1790:1
1787:+
1784:7
1781:(
1767:3
1764:+
1761:)
1755:,
1749:(
1737:=
1734:d
1713:7
1710:=
1707:1
1704:+
1692:/
1680:=
1677:m
1639:=
1636:3
1630:3
1627:+
1621:=
1613:)
1610:1
1607:+
1604:4
1601:(
1587:3
1584:+
1581:)
1575:,
1569:(
1557:=
1554:d
1533:4
1530:=
1527:1
1524:+
1512:/
1500:=
1497:m
1467:d
1464:o
1444:)
1441:1
1435:m
1432:(
1423:d
1420:o
1400:)
1394:,
1391:d
1388:o
1385:(
1348:)
1345:1
1342:+
1339:m
1336:(
1322:i
1319:+
1316:)
1310:,
1307:d
1304:o
1301:(
1289:=
1286:d
1265:1
1262:+
1250:/
1246:d
1243:o
1235:=
1232:m
1212:)
1206:(
1201:)
1197:(
1179:.
1122:i
1111:)
1108:1
1105:+
1102:m
1099:(
1088:+
1085:)
1082:1
1076:m
1073:(
1019:0
975:0
947:9
942:8
937:7
932:6
927:5
922:4
917:3
889:n
882:n
850:+
841:n
830:=
827:O
814:d
810:m
785:+
776:n
765:=
762:O
739:4
736:+
733:m
730:=
727:d
707:1
704:+
701:n
698:2
695:=
692:m
678:n
649:n
638:=
635:O
612:m
609:=
606:d
586:n
583:2
580:=
577:m
562:"
549:O
545:O
535:d
531:O
525:d
521:O
512:O
497:,
495:)
493:y
486:O
482:O
474:m
459:5
456:/
441:d
437:m
430:O
423:m
417:m
411:m
404:m
399:m
381:.
379:O
375:d
368:O
364:i
358:m
354:i
346:O
330:d
326:m
322:y
318:O
296:)
290:(
285:)
281:(
263:.
217:"
213:"
95:)
80:)
74:(
69:)
65:(
51:.
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