746. Min Cost Climbing Stairs
作者:互联网
On a staircase, the
i
-th step has some non-negative costcost[i]
assigned (0 indexed).Once you pay the cost, you can either climb one or two steps. You need to find minimum cost to reach the top of the floor, and you can either start from the step with index 0, or the step with index 1.
Example 1:
Input: cost = [10, 15, 20] Output: 15 Explanation: Cheapest is start on cost[1], pay that cost and go to the top.
Example 2:
Input: cost = [1, 100, 1, 1, 1, 100, 1, 1, 100, 1] Output: 6 Explanation: Cheapest is start on cost[0], and only step on 1s, skipping cost[3].
Note:
cost
will have a length in the range[2, 1000]
.- Every
cost[i]
will be an integer in the range[0, 999]
.
Approach #1: DP. [C++]
class Solution { public: int minCostClimbingStairs(vector<int>& cost) { int l = cost.size(); if (l < 3) return 0; vector<int> dp(l+1, 0); dp[l-1] = cost[l-1]; dp[l-2] = cost[l-2]; for (int i = l-3; i >= 0; --i) dp[i] = cost[i] + min(dp[i+1], dp[i+2]); return min(dp[0], dp[1]); } };
Analysis:
Say dp[i] is the final cost to climb to the top from step i. Then dp[i] = cost[i] + min(dp[i+1], dp[i+2]).
标签:cost,int,top,start,step,Cost,Climbing,Stairs,dp 来源: https://www.cnblogs.com/ruruozhenhao/p/10536265.html