perplexus.info :: Just Math : Area From Even Floor

Area From Even Floor (Posted on 2016-02-15)

S denotes the set of pairs (x,y) with x ≤ y, 0 < x ≤ 1 and 0 < y ≤ 1, and having the restriction that:
Each of floor (Log₂(1/x) ) and floor (Log₂(1/y) ) is even.

Find P+Q, given that that the area of the graph of S is P/Q, where P and Q are relatively prime positive integers.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required value of P +Q is 11.
For an explanation refer to the solution submitted by Steve Herman in this location.

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

Subject	Author	Date
Sans Integration (spoiler)	Steve Herman	2016-02-15 12:40:05
Solution	Jer	2016-02-15 12:30:34

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