hdu 5890 (bitset optimized backpack)

Eighty seven

 HDU - 5890 

Main idea: give n numbers, delete any three numbers and ask whether the remaining 10 numbers add up to 87.

q times, give three numbers at a time, indicating the number deleted.

 

Because Q is very large, it can be pretreated. 50*50*50

Every time you make a normal backpack, it's n*k*100

bitset optimization considered

      //dp[i][j]=dp[i-1][j];
     //dp[i][j]=dp[i-1][j-1][k-a[i]]

It can be seen that the current knapsack status can be transmitted by dp[i-1][j] and dp[i-1][j-1](k-a[i]==1), so it can be directly current or on it.

#include<iostream>
#include<cstdio>
#include<cstring>
#include<queue>
#include<vector>
#include<cmath>
#include<bitset>
#include<algorithm>
#include<map>
using namespace std;
#define LL long long
#define N 305
#define maxn 200005
#define inf 0x3f3f3f3f
#define sca(x) scanf("%d",&x)
#define fir first
#define sec second
#define mp(x,y) make_pair(x,y)
#define pb(x) push_back(x)

int a[55];
int b[55];
bitset<105>dp[2][15];
int mmp[55][55][55];

void init(int x,int y,int z,int n)
{
    for(int i=0;i<12;i++)
    {
        dp[i].reset();
    }
    dp[0][0]=1;
    for(int i=1;i<=n;i++)
    {
        if(i==x||i==y||i==z)continue;
        for(int j=10;j>=1;j--)
        {
            //dp[i][j]=dp[i-1][j];
            //dp[i][j]=dp[i-1][j-1][k-a[i]]
            dp[j] |= (dp[j-1]<<a[i]);
        }
    }
    mmp[x][y][z]=mmp[x][z][y]=(int)(dp[10][87]);
    mmp[y][x][z]=mmp[y][z][x]=(int)(dp[10][87]);
    mmp[z][y][x]=mmp[z][x][y]=(int)(dp[10][87]);
}
int main()
{
    int t;
    sca(t);
    while(t--)
    {
        int n;
        sca(n);
        memset(mmp,0,sizeof(mmp));
        for(int i=1;i<=n;i++)sca(a[i]);
        int op=0;
        for(int i=1;i<=n;i++)
        {
            for(int j=i;j<=n;j++)
            {
                for(int k=j;k<=n;k++)
                {
                    init(i,j,k,n);
                }
            }
        }
        int q;
        sca(q);
        while(q--)
        {
            int x,y,z;
            scanf("%d%d%d",&x,&y,&z);
            if(mmp[x][y][z])puts("Yes");
            else puts("No");
        }
    }
}

 

Posted by Mistat2000 on Wed, 27 Nov 2019 09:09:18 -0800