arranging-coins

https://leetcode.com/problems/arranging-coins/

public class Solution {

    public int arrangeCoins(int n) {

        // n >= x*(x+1)/2; 2n >= x^2 + x; 8n+1 >= 4x^2 + 4x + 1 = （2x+1)^2

        // (8n+1)^(1/2) = 2x+1; x = ((8n+1)^(1/2)-1)/2;

        // 注意下面的n要转成long，不然可能溢出

        return (int)(Math.sqrt(8*(long)n+1)-1)/2;

    }

}