【Leetcode】Climbing Stairs

题目链接：https://leetcode.com/problems/climbing-stairs/

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?

思路：

上一步怎么走的跟下一步都的没关系。用data数组表示到每一步为止，有多少种方法。

算法：

 public int climbStairs(int n) {
     int[] data = new int[n + 3];
     data[1] = 1;
     data[2] = 2;
     for (int i = 3; i <= n; i++) {
         data[i] = data[i - 2] + data[i - 1];
     }
     return data[n];
 }