441.Arranging Coins

441.Arranging Coins

难度:Easy

You have a total of n coins that you want to form in a staircase shape, where every k-th row must have exactly k coins.

Given n, find the total number of full staircase rows that can be formed.

n is a non-negative integer and fits within the range of a 32-bit signed integer.

Example 1:
n = 5
The coins can form the following rows:
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¤ ¤
¤ ¤
Because the 3rd row is incomplete, we return 2.
Example 2:
n = 8
The coins can form the following rows:
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¤ ¤
¤ ¤ ¤
¤ ¤
Because the 4th row is incomplete, we return 3.

简单的等差数列求项数的题目,一元二次方程求根公式。

class Solution {
public:
int arrangeCoins(int n) {
return int((sqrt(1+8.0*n)-1)/2);
}
};

执行用时 : 4 ms, 在所有 C++ 提交中击败了96.23%的用户 内存消耗 :8 MB, 在所有 C++ 提交中击败了95.18%的用户