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days, which is 12 complete quads, with a remainder of 731 days. Look at the separation between the leap year days between the source and target sequences. They are separated by one common year and one leap year, accounting for the (365 + 366 =) 731-day remainder. Thus, as long as this set of conditions exists between the two sequences, the dates will match on their DOWs. |
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| Table 9.5 Cycle lengths within the Gregorian calendar. | | Elapsed Quads | Day Remainder | Magic Number | | 0 | 0 | 0 | | 1 | 366 | 1,827 | | 1 | 730 | 2,191 | | 2 | 1,096 | 4,018 | | 4 | 365 | 6,209 | | 5 | 731 | 8,036 | | 5 | 1,095 | 8,400 | | 7 | 0 | 10,227 | | 8 | 366 | 12,054 | | 8 | 730 | 12,418 | | 9 | 1,096 | 14,245 | | 11 | 365 | 16,436 | | 12 | 731 | 18,263 | | 12 | 1,095 | 18,627 | | 14 | 0 | 20,454 | | 15 | 366 | 22,281 | | 15 | 730 | 22,645 | | 16 | 1,096 | 24,472 | | 18 | 365 | 26,663 | | 19 | 731 | 28,490 | | 19 | 1,095 | 28,854 | | 21 | 0 | 30,681 | | 22 | 366 | 32,508 | | 22 | 730 | 32,872 | | 23 | 1,096 | 34,699 |
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