hdu 5616

Jam's balance

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 370    Accepted Submission(s): 173

Problem Description

Jim has a balance and N weights. (1≤N≤20)
The balance can only tell whether things on different side are the same weight.
Weights can be put on left side or right side arbitrarily.
Please tell whether the balance can measure an object of weight M.

 

 

Input

The first line is a integer T(1≤T≤5) , means T test cases.
For each test case :
The first line is N , means the number of weights.
The second line are N number, i'th number wi(1≤wi≤100) means the i'th weight's weight is wi .
The third line is a number M . M is the weight of the object being measured.

 

 

Output

You should output the "YES"or"NO".

 

 

Sample Input

1 2 1 4 3 2 4 5

 

 

Sample Output

NO YES YES

Hint

For the Case 1:Put the 4 weight alone For the Case 2:Put the 4 weight and 1 weight on both side

 

 

Source

BestCoder Round #70 B 题

补一道bc b题  一会马上cf

题意  t组数据 n个砝码 m个询问 问当前询问能否 使用已知砝码秤出

题解

比赛的时候 dfs暴搜 3^20 超时了

后来看别人题解代码

看到这样一个 很好理解的  码了一个 算是dp吧

通过 dp2数组 在增加j砝码的情况下（放左 放右 不放） 不断更新dp1数组  （数组序号代表 --目标秤重）

#include<bits/stdc++.h>
using namespace std;
int t;
int n;
int fa[25];
map<int,int>dp1;
map<int,int>dp2;
int sum;
int m,exm;
int main()
{
    while(scanf("%d",&t)!=EOF)
    {
        for(int i=1; i<=t; i++)
        {
            sum=0;
            dp1.clear();
            dp2.clear();
            scanf("%d",&n);
            for(int j=0; j<n; j++)
            {
                scanf("%d",&fa[j]);
                sum+=fa[j];
            }
            dp1[0]=1;
            dp1[fa[0]]=1;
            for(int j=1; j<n; j++)
            {
                dp2.clear();
                for(int k=0; k<=sum; k++)
                {
                    if(dp1[k])
                    {
                        dp2[k]=1;
                        dp2[k+fa[j]]=1;
                        dp2[abs(k-fa[j])]=1;
                    }
                }
                for(int k=0; k<=sum; k++)
                {
                    if(dp2[k]&&!dp1[k])
                        dp1[k]=1;
                }
            }
            scanf("%d",&m);
            for(int j=1; j<=m; j++)
            {
                scanf("%d",&exm);
                if(dp1[exm])
                    printf("YES\n");
                else
                    printf("NO\n");
            }
        }
    }
    return 0;
}