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LEETCODE-- Arranging Coins

2019-11-08 01:49:24
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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. 方法一:

class Solution {public: int arrangeCoins(int n) { int i; for (i=1; n>=0; ++i){ n -= i; } return i - 2; }};

方法二: 利用等差数列求和公式,并且注意要先将n转化为double类型

class Solution {public: int arrangeCoins(int n) { return (-1 + sqrt(8 * (double)n + 1) )/ 2; }};
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