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?
Java:
public class Solution {
public int climbStairs(int n) {
if(n==1) return 1;
if(n==2) return 2;
return climbStairs(n-1) + climbStairs(n-2);
}
}
失败了,超过时间
需要使用动态规划
public class Solution {
public int climbStairs(int n) {
if(n==0 || n==1) return n;
int[] result = new int[n+1];
result[1] = 1;
result[2] = 2;
for(int i=3;i<=n;i++)
{
result[i] = result[i-1] + result[i-2];
}
return result[n];
}
}