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  • hdu 2602 Bone Collector 背包入门题

    题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=2602

    题目分析:0-1背包  注意dp数组的清空, 二维转化为一维后的公式变化

    /*Bone Collector
    
    Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
    Total Submission(s): 34192    Accepted Submission(s): 14066
    
    
    Problem Description
    Many years ago , in Teddy’s hometown there was a man who was called “Bone Collector”. This man like to collect varies of bones , such as dog’s , cow’s , also he went to the grave …
    The bone collector had a big bag with a volume of V ,and along his trip of collecting there are a lot of bones , obviously , different bone has different value and different volume, now given the each bone’s value along his trip , can you calculate out the maximum of the total value the bone collector can get ?
    
    
     
    
    Input
    The first line contain a integer T , the number of cases.
    Followed by T cases , each case three lines , the first line contain two integer N , V, (N <= 1000 , V <= 1000 )representing the number of bones and the volume of his bag. And the second line contain N integers representing the value of each bone. The third line contain N integers representing the volume of each bone.
     
    
    Output
    One integer per line representing the maximum of the total value (this number will be less than 231).
     
    
    Sample Input
    1
    5 10
    1 2 3 4 5
    5 4 3 2 1
     
    
    Sample Output
    14
     
    
    Author
    Teddy
     
    
    Source
    HDU 1st “Vegetable-Birds Cup” Programming Open Contest
    */
    //ZeroOnePack
    #include <cstdio>
    #include <cstring>
    const int maxn = 1000 + 10;
    int dp[maxn], n, v, wi[maxn], vi[maxn];
    int Max(int a, int b)
    {
        return a > b ? a : b;
    }
    void ZeroOnePack(int C, int W)
    {
        for(int i = v; i >= C; i--)
            dp[i] = Max(dp[i], dp[i-C]+W);
    }
    
    int main()
    {
        int T;
        scanf("%d", &T);
        while(T--){
            scanf("%d%d", &n, &v);
            for(int i = 1; i <= n; i++) scanf("%d", &wi[i]);
            for(int i = 1; i <= n; i++) scanf("%d", &vi[i]);
            memset(dp, 0, sizeof(dp)); //attention
            for(int i = 1; i <= n; i++)
                ZeroOnePack(vi[i], wi[i]);
            printf("%d
    ", dp[v]);
        } 
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/ACFLOOD/p/4283342.html
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