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69. Sqrt(x)

Implement int sqrt(int x).

Compute and return the square root of x, where x is guaranteed to be a non-negative integer.

Since the return type is an integer, the decimal digits are truncated and only the integer part of the result is returned.

Example 1:

Input: 4
Output: 2

Example 2:

Input: 8
Output: 2
Explanation: The square root of 8 is 2.82842..., and since 
             the decimal part is truncated, 2 is returned.

Solutions (C)

1. Binary Search Algorithm

int mySqrt(int x){
    if(x == 1)
        return 1;
    int min = 0;
    int max = x;
    while(max - min > 1){
        int middle = (max + min) / 2;
        if(x / middle < middle)
            max = middle;
        else 
            min = middle;
    }
    return min;
}

Runtime: 4 ms Memory Usage: 6.9 MB