hdu1059Dividing【多重背包】

Dividing

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 21171    Accepted Submission(s): 5975

Problem Description

Marsha and Bill own a collection of marbles. They want to split the collection among themselves so that both receive an equal share of the marbles. This would be easy if all the marbles had the same value, because then they could just split the collection in half. But unfortunately, some of the marbles are larger, or more beautiful than others. So, Marsha and Bill start by assigning a value, a natural number between one and six, to each marble. Now they want to divide the marbles so that each of them gets the same total value.
Unfortunately, they realize that it might be impossible to divide the marbles in this way (even if the total value of all marbles is even). For example, if there are one marble of value 1, one of value 3 and two of value 4, then they cannot be split into sets of equal value. So, they ask you to write a program that checks whether there is a fair partition of the marbles.

 

Input

Each line in the input describes one collection of marbles to be divided. The lines consist of six non-negative integers n1, n2, ..., n6, where ni is the number of marbles of value i. So, the example from above would be described by the input-line ``1 0 1 2 0 0''. The maximum total number of marbles will be 20000.

The last line of the input file will be ``0 0 0 0 0 0''; do not process this line.

 

Output

For each colletcion, output ``Collection #k:'', where k is the number of the test case, and then either ``Can be divided.'' or ``Can't be divided.''.

Output a blank line after each test case.

 

Sample Input

   
   
   
   

    
    
    
    1 0 1 2 0 0
1 0 0 0 1 1
0 0 0 0 0 0
   
   
   
   

 

Sample Output

   
   
   
   

    
    
    
    Collection #1:
Can't be divided.

Collection #2:
Can be divided.
   
   
   
   

 

Source

Mid-Central European Regional Contest 1999  欧洲为啥题都这么简单==

又是问能不能均分==都做了多少遍了(⊙﹏⊙)b

你们猜这次我卡哪了？？zero和complete调用位置写反了T^T输出了那么多中间变量才发现！！

RE一次又是因为没审题！数组开小了！你错多少次能记住？？

居然是踩线过的==

/**************
hdu1059
2015.11.3
717MS 1908K 2084 B G++
**************/
#include <iostream>
#include<cstdio>
#include<cstring>
using namespace std;
int dp[90000],value[10],cost[10],num[10],v;
void zeropack(int cost,int value)
{
    for(int i=v;i>=cost;i--)
        dp[i]=max(dp[i],dp[i-cost]+value);
   // printf("zero   ");
}
void complete(int cost,int value)
{
    for(int i=cost;i<=v;i++)
        dp[i]=max(dp[i],dp[i-cost]+value);
    //printf("complete    ");
}
void multipack(int cost,int value,int num)
{
    if(num==0) return;
    if(cost*num>=v)
    {
        complete(cost,value);
        return;
    }
    int k=1;
    while(k<num)
    {
        zeropack(k*cost,k*value);
        num-=k;
        k*=2;
    }
    zeropack(num*cost,num*value);
}
int main()
{
    //freopen("cin.txt","r",stdin);

    int cnt=1;
    while(~scanf("%d%d%d%d%d%d",&num[1],&num[2],&num[3],&num[4],&num[5],&num[6]))
    {
        for(int i=1;i<=6;i++) value[i]=i;
        for(int i=1;i<=6;i++) cost[i]=i;
        if(num[1]==0&&num[2]==0&&num[3]==0&&num[4]==0&&num[5]==0&&num[6]==0) break;
        v=num[1]+num[2]*2+num[3]*3+num[4]*4+num[5]*5+num[6]*6;
        //for(int i=1;i<=6;i++) if(!num[i]) {value[i]=0;cost[i]=0;}
        //for(int i=1;i<=6;i++) printf("%d   ",num[i]);
        if(v&1)
        {
            printf("Collection #%d:\nCan't be divided.\n\n",cnt++);
            continue;
        }
        v/=2;
        memset(dp,0,sizeof(dp));
        for(int i=1;i<=6;i++)
        {
            if(num[i]==0) continue;
            //printf("i=%d  ",i);
            multipack(cost[i],value[i],num[i]);
           // printf("i=%d    ",i);
           // for(int j=cost[i];j<=v;j++)printf("i=%d j=%d  dp[j]=%d      ",i,j,dp[j]);
          // printf("\n");
        }
        //printf("%d\n",dp[v]);
       // for(int i=1;i<=6;i++) printf("%d  ",dp[i]);
        if(dp[v]!=v)
            printf("Collection #%d:\nCan't be divided.\n\n",cnt++);
        else
            printf("Collection #%d:\nCan be divided.\n\n",cnt++);
    }
    return 0;
}