【多重背包模板】poj 1014

#include <iostream>

#include <stdio.h>

#include <cstring>

#define INF 100000000 

using namespace std;

int f[240005];  //f[j]相当于f[i][j]: 考虑1...i个物品,恰好放到容量为j,所能达到的最大价值

int v; //背包容量

void complete_pack(int *dp, int c, int w) 

{ 

    for(int i = c; i <= v; i++) 

        dp[i] = max(dp[i], dp[i - c] + w); 

} 

void zeroone_pack(int *dp, int c, int w) 

{ 

    for(int i = v; i >= c; i--) 

        dp[i] = max(dp[i], dp[i - c] + w); 

} 

 

void mutiple_pack(int *dp, int c, int w, int m) 

{  

    if(c * m >= v)

    { 

        complete_pack(dp, c, w); 

        return; 

    }

    int k = 1; 

    while(k < m) 

    { 

        zeroone_pack(dp, k * c, k * w); 

        m = m - k; 

        k = 2 * k; 

    } 

    zeroone_pack(dp, c * m, w * m); 

} 

int main() 

{ 

    //freopen("in.txt","r",stdin); 

    int sum, i, c[7], w[7], m[7],cas = 0; 

    while(scanf("%d%d%d%d%d%d",&m[1],&m[2],&m[3],&m[4],&m[5],&m[6]))

    { 

        if(m[1]==0 && m[2]==0 && m[3]==0 && m[4]==0 && m[5]==0 && m[6]==0) 

        break; 

        sum = 0; 

        for(i = 1; i <= 6; i++)

        { 

            c[i] = w[i] = i; 

            sum += c[i] * m[i]; 

        } 

        printf("Collection #%d:\n", ++cas); 

        if(sum & 1)

            puts("Can't be divided.\n"); 

        else

        { 

            sum /= 2; 

            v = sum;

            for(i = 1; i <= sum; i++) 

                  f[i] = -INF; 

            f[0] = 0; 

            for(i = 1; i <= 6; i++) 

                  mutiple_pack(f, c[i], w[i], m[i]); 

            if(f[v] < 0)

                puts("Can't be divided.\n"); 

            else

                puts("Can be divided.\n"); 

        } 

    } 

    return 0; 

}

 

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