perplexus.info :: General : Double Dates

Double Dates (Posted on 2005-09-14)

Steve is in charge of designing a wall-hanging calendar. Each month is allocated a grid of 5 X 7 squares, labeled Sunday thru Saturday across the top. The problem is, Steve hates to put two dates in the same square on the calendar, necessary when the month spans parts of six weeks. Is it possible for Steve to find a year when he never has to put two dates in the same square? What is the most double-date squares he would ever need for a single year?

Submitted by Josh70679

Rating: 3.3333 (3 votes)

Solution: (Hide)

The minimum is 2, which happens when Jan. 1 falls on a thursday (or friday, if it's a leap year), so it's impossible to have none.
The maximum is 6, which happens when Jan. 1 falls on a Saturday on a leap year.

As Charlie noted, this uses the convention that double dates are always at the end of the month.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): Pesky months -- alternative count	Charlie	2005-09-14 14:07:39
re: Pesky months	Charlie	2005-09-14 14:02:22
solution	Charlie	2005-09-14 13:43:27
Pesky months	Bob Smith	2005-09-14 13:16:13

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