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hdu1059 Dividing (多重背包)

2015-11-12 22:12 429 查看
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简单多重背包

#include <iostream>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <algorithm>
using namespace std;
int dp[120100],a[7];
int v,k;  //v为体积

void ZeroOnePack(int cost,int weight)   //weight为价值,cost为花费
{
for(int i=v;i>=cost;i--)
dp[i]=max(dp[i],dp[i-cost]+weight);
}

void CompletePack(int cost,int weight)
{
for(int i=cost;i<=v;i++)
dp[i]=max(dp[i],dp[i-cost]+weight);
}

void MultipliesPack(int cost,int weight,int amount)
{
if(cost*amount>=v)
CompletePack(cost,weight);
else
{
for(k=1;k<amount;)
{
ZeroOnePack(k*cost,k*weight);
amount-=k;
k<<=1;
}
ZeroOnePack(amount*cost,amount*weight);
}
}

int main()
{
int cas=0,sum;
while(1)
{
cas++;
sum=0;
for(int i=1;i<=6;i++)
{
scanf("%d",&a[i]);
sum+=a[i]*i;
}
if(!sum)break;
if(sum%2)
{
printf("Collection #%d:\nCan't be divided.\n\n",cas);
continue;
}
else
{
v=sum/2;
memset(dp,0,sizeof(dp));
for(int i=1;i<=6;i++)
MultipliesPack(i,i,a[i]);
if(dp[v]==v)
printf("Collection #%d:\nCan be divided.\n\n",cas);
else printf("Collection #%d:\nCan't be divided.\n\n",cas);
}
}

return 0;
}
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