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House Robber

时间:2015-11-07 21:41:16      阅读:205      评论:0      收藏:0      [点我收藏+]

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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.

  • 动态规划,设置maxV[i]表示到第i个房子位置,最大收益。
  • 递推关系为maxV[i] = max(maxV[i-2]+num[i], maxV[i-1])
class Solution {
public:
    int rob(vector<int> &num) {
        int n = num.size();
        if(n == 0)
            return 0;
        else if(n == 1)
            return num[0];
        else
        {
            vector<int> maxV(n, 0);
            maxV[0] = num[0];
            maxV[1] = max(num[0], num[1]);
            for(int i = 2; i < n; i ++)
                maxV[i] = max(maxV[i-2]+num[i], maxV[i-1]);
            return maxV[n-1];
        }
    }
};
  • 用A[0]表示没有rob当前house的最大money,A[1]表示rob了当前house的最大money,那么A[0] 等于rob或者没有rob上一次house的最大值
  • 即A[i+1][0] = max(A[i][0], A[i][1])..  那么rob当前的house,只能等于上次没有rob的+money[i+1], 则A[i+1][1] = A[i][0]+money[i+1]. 只需要两个变量保存结果就可以了
int max(int a, int b)
{
    if(a > b)
        return a;
    else
        return b;
}
int rob(int* nums, int numsSize) {
    int best0 = 0;   // 表示没有选择当前houses  
    int best1 = 0;   // 表示选择了当前houses  
    for(int i = 0; i < numsSize; i++){  
        int temp = best0;  
        best0 = max(best0, best1); // 没有选择当前houses,那么它等于上次选择了或没选择的最大值  
         best1 = temp + nums[i]; // 选择了当前houses,值只能等于上次没选择的+当前houses的money  
    }  
    return max(best0, best1);  
}
  • 动态规划还不会

House Robber

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原文地址:http://www.cnblogs.com/dylqt/p/4945992.html

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