# 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:
¤
¤ ¤
¤ ¤

Because the 3rd row is incomplete, we return 2.
Example 2:

n = 8

The coins can form the following rows:
¤
¤ ¤
¤ ¤ ¤
¤ ¤

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