• 01背包(就地滚动)


    <span style="color:#3333ff;">/*
    __________________________________________________________________________________________________
    *     copyright:   Grant Yuan                                                                     *
    *     algorithm:   01背包(就地滚动)                                                             *
    *     time     :   2014.7.18                                                                      *
    *     declare  :   题目中说N最大是3400多。可是一開始开了5000内存还是执行时错误,后来直接改了50000 *                                                       *                                                                                                 *
    *_________________________________________________________________________________________________*</span>
    <span style="color:#3333ff;">
    I - 01背包(就地滚动)
    Time Limit:1000MS     Memory Limit:65536KB     64bit IO Format:%I64d & %I64u
    Submit
     
    Status
    Description
    Bessie has gone to the mall's jewelry store and spies a charm bracelet. Of course, she'd like to fill it with the best charms possible from the N (1 ≤ N ≤ 3,402) available charms. Each charm i in the supplied list has a weight Wi (1 ≤ Wi ≤ 400), a 'desirability' factor Di (1 ≤ Di ≤ 100), and can be used at most once. Bessie can only support a charm bracelet whose weight is no more than M (1 ≤ M ≤ 12,880).
    
    Given that weight limit as a constraint and a list of the charms with their weights and desirability rating, deduce the maximum possible sum of ratings.
    
    Input
    * Line 1: Two space-separated integers: N and M
    * Lines 2..N+1: Line i+1 describes charm i with two space-separated integers: Wi and Di
    
    Output
    * Line 1: A single integer that is the greatest sum of charm desirabilities that can be achieved given the weight constraints
    
    Sample Input
    4 6
    1 4
    2 6
    3 12
    2 7
    Sample Output
    23
    */
    
    #include<iostream>
    #include<cstdio>
    #include<cstdlib>
    #include<cstring>
    #include<algorithm>
    using namespace std;
    
    int w[50001];
    int p[50001];
    int sum;
    int n;
    int dp[50001];
    
    int main()
    {
    	cin>>n>>sum;
    	for(int i=0;i<n;i++)
    		cin>>w[i]>>p[i];
    	memset(dp,0,sizeof(dp));
    	for(int i=0;i<n;i++)
    	   for(int j=sum;j>=w[i];j--)
    	    {
    		dp[j]=max(dp[j],dp[j-w[i]]+p[i]);
    	     }
    	cout<<dp[sum]<<endl;
    	return 0;
    }
    </span>

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  • 原文地址:https://www.cnblogs.com/liguangsunls/p/6734489.html
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