Big Square
Number Theory
Level
2
How many squares (of integer side length) can be made out of a square?
93827148931456
93827138731456
93827139731456
93827148731456
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1 solution
There is a simple formula for such a problem.
Suppose we have a NxN square;
Then total number of squares(of any size)=1/6(N)(N+1)(2N+1).
In this problem,N=65536,
or, Total no. of squares=1/6(65536)(65536+1)(2x65536 +1)
=1/6(65536)(65537)(140073)
=93827139731456