题目描述:
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?
解题思路:
利用DP的方法,一个台阶的方法次数为1次,两个台阶的方法次数为2个。n个台阶的方法可以理解成上n-2个台阶,然后2步直接上最后一步;或者上n-1个台阶,再单独上一步。
代码如下:
public class Solution {
public int climbStairs(int n) {
int p2 = 1, p1 = 2, current = 0;
if(n <= 2)
return n;
for(int i = 2; i < n; i++){
current = p2 + p1;
p2 = p1;
p1 = current;
}
return current;
}
}