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?
还是简单的动态规划问题,很明显可以发现。
dp[i] = dp[i-2]+dp[i-1]
public class Solution { public int climbStairs(int n) { if( n == 0 ) return 0; if( n == 1) return 1; if( n == 2) return 2; int[] dp = new int[n]; dp[0] = 1; dp[1] = 2; for( int i = 2;i<n;i++){ dp[i] = dp[i-2]+dp[i-1]; } return dp[n-1];} }