The binary search can be further optimized to start with start 0 and end x 2.
Floor sqrt 1 0 8 x 1 2.
Choose the greatest one which is 2 in.
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How do we define the floor of 2 31.
The floor function also known as the greatest integer function.
Well it has to be an integer.
There are lots of integers less than 2 31.
And it has to be less than or maybe equal to 2 31 right.
The inner one is redundant the outer one of course not.
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Floor of square root of x cannot be more than x 2 when x 1.
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So which one do we choose.
2 is less than 2 31.