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[LeetCode]: 70: Climbing Stairs

时间:2015-10-08 10:15:42      阅读:137      评论:0      收藏:0      [点我收藏+]

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题目:

You are climbing a stair case. It takes n steps to reach to the top.

Each time you can either climb 1 or 2 steps. In how many distinct ways can you climb to the top?

 

分析:

- 采用动态规划思想

- 将上楼过程分解为,"先上n-1梯,再上1梯" 和"先上n-2梯,再上2梯"这两个过程。

 

代码:

    public static int climbStairs(int n) {
        switch(n){
            case 1:
                return 1;
            case 2:
                return 2;
            default:
                int[] arrResult = new int[n+1];
                arrResult[0] = 1;
                arrResult[1] = 1;
                arrResult[2] = 2;
                
                for(int i = 3;i <= n;i++){
                    arrResult[i]=arrResult[i-1]/*最后剩一个楼梯*/ + arrResult[i-2] /*最后剩两个楼梯*/;
                }
                return arrResult[n];
        }
    }

 

[LeetCode]: 70: Climbing Stairs

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原文地址:http://www.cnblogs.com/savageclc26/p/4860142.html

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