动态规划系列 Leetcode 198. House Robber

本文探讨了一个专业窃贼面临的算法问题:如何在不触动报警系统的情况下,从一排房屋中窃取最大金额。通过动态规划算法,文章提供了一种有效的解决方案,并附带了C++代码实现。

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You are a professional robber planning to rob houses along a street. Each house has a certain amount of money stashed, the only constraint stopping you from robbing each of them is that adjacent houses have security system connected and it will automatically contact the police if two adjacent houses were broken into on the same night.

Given a list of non-negative integers representing the amount of money of each house, determine the maximum amount of money you can rob tonight without alerting the police.

 1 #include <stdio.h>
 2 
 3 #include <vector>
 4 class Solution {
 5 public:
 6     int rob(std::vector<int>& nums) {
 7         if (nums.size() == 0){
 8             return 0;
 9         }
10         if (nums.size() == 1){
11             return nums[0];
12         }
13         std::vector<int> dp(nums.size(), 0);
14         dp[0] = nums[0];
15         dp[1] = std::max(nums[0], nums[1]);
16         for (int i = 2; i < nums.size(); i++){
17             dp[i] = std::max(dp[i-1], dp[i-2] + nums[i]);
18         }
19         return dp[nums.size() - 1];
20     }
21 };
22 
23 int main(){
24     Solution solve;
25     std::vector<int> nums;
26     nums.push_back(5);
27     nums.push_back(2);
28     nums.push_back(6);
29     nums.push_back(3);
30     nums.push_back(1);
31     nums.push_back(7);    
32     printf("%d\n", solve.rob(nums));
33     return 0;
34 }

 

转载于:https://www.cnblogs.com/Hwangzhiyoung/p/8733676.html

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