Thursday, August 4, 2011

Simplied Decision Tree For Switch Between 2048 and 2100

I waw looking for a way to simplify the flowchart for the Alternative Calendar and noticed that there was a window of opportunity to adopt a simple decision tree between 2048 and 2100 since 2048 is exactly divisible by 128. The decision tree for the Gregorian Calendar is,

The simplified decision tree for the Alternative Calendar is,

The 52 year window allows us to use the year instead of a difference in years in the decision tree. Both decision trees give the same results within this window.

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