問題:
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?
Note: Given n will be a positive integer.
Example 1:
Input: 2 Output: 2 Explanation: There are two ways to climb to the top. 1. 1 step + 1 step 2. 2 steps
Example 2:
Input: 3 Output: 3 Explanation: There are three ways to climb to the top. 1. 1 step + 1 step + 1 step 2. 1 step + 2 steps 3. 2 steps + 1 step
思路:
上臺階問題,一次只能上一個或兩個臺階,問總共有n個臺階,一共有多少種走法。
明顯的動態規劃問題,
當要到達地n個臺階的時候,有兩種走法,第一種是從N-1個臺階走一步,第二種是N-2個臺階走兩步。
class Solution: def climbStairs(self, n: int) -> int: if n ==1 :return 1 count= [0 for i in range(n)] count[0] = 1 count[1] = 2 for i in range(2,n): count[i] = count [i-1] + count[i-2] return count[n-1]
轉載於:https://www.cnblogs.com/xiaohua92/p/11065278.html