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Problem #111

Rectangle has Children

A rectangle 'A' is said to be the child of rectangle 'B' if following 3 conditions are satisfied:

a. 'A' can be completely fit inside 'B' without A's sides touching B's sides.

b. At Least one side of 'A' should be greater (in length) than both the sides of 'B'

c. A’s and B’s sides are positive integers.

A rectangle with sides of length 22543 units and 22541 units has how many children?

(Note : A square is also a rectangle with equal sides)

(Note : A’s (Child) sides need not be parallel to B’s sides when A is fit inside B).

Contributed by SOPAN Khosla

Solved by 37 users

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