南邮 OJ 1996 ELEVATOR

ELEVATOR

时间限制(普通/Java) : 1000 MS/ 3000 MS          运行内存限制 : 65536 KByte
总提交 : 98            测试通过 : 27 

比赛描述

In the library of NUPT there is an elevator. The elevator can lift no more than W kg.
And you know in NUPT the library is always crowded.
Here are N people want to get into the elevator. Each people have two facts, the weight and IQ.
I want you to find the minimum of the combined IQ of the people outside the elevator when the combined weight of the people in the elevator is no more than W. 
For example: when W,n=200,4
        The weight of people are: 65 50 85 55
        The IQ of peole are:     46 18 70 21
65+50+85+55=255>W, so the elevator can lift them all.
We chose to lift the 1st,2nd,3rd people, the sum of weight is 200<=W and the sum of  IQ of people out of the elevator is 21.
So you have to output 21.

输入

In the first line there is an integer T indicating there T test cases.
In the first of each case, there are two integers W,n.W is the max weight of peole in the elevator, and there are n people.
In the next line there are n integers wi. The ith integer is the ith people’s weight.
In the next line there are n integers vi. The ith integer is the ith people’s IQ.

输出

For each case you only output one integer. The combined IQ of the people outside the elevator.

样例输入

2
0 1
1
1
200 4
65 50 85 55
46 18 70 21

样例输出

1
21

提示

null

题目来源

3B

/* Wrong Answer at Test 1
#include<iostream>

int main(){
	int t,W,n,i,j,temp,sum;
	int *w,*v,*f;
	scanf("%d",&t);
	while(t--){
		scanf("%d%d",&W,&n);
		w = new int[n];
		v = new int[n];
		f = new int[W+1]();
		for(i=0;i<n;i++){
			scanf("%d",w+i);
		}
		sum=0;
		for(i=0;i<n;i++){
			scanf("%d",v+i);
			sum += v[i];
		}
		for(i=0;i<n;i++){
			for(j=W;j>=0;j--){
				if(j>=w[i] && f[j]<(temp=f[j-w[i]]+v[i])){
					f[j] = temp;
				}
			}
		}
		for(i=j=0;j<=W;j++){
//			printf("j=%d f[j]=%d\n",j,f[j]);
			if(i<f[j]){
				i = f[j];
			}
		}
		printf("%d\n",sum-i);
		delete[] w;
		delete[] v;
		delete[] f;
	}
}
*/


/* Internet AC
#include<iostream>
#include<cstring>
#include<cstdlib>
#include<cstdio>
using namespace std;
int main()
{
    int dp[101][1001],m,T,C,w[101],val[101],i,j;
     scanf("%d",&C);
     while(C--){
     int sum=0;  //累加器
     scanf("%d%d",&T,&m);
     for(i=1;i<=m;i++)
         scanf("%d",&w[i]);  //体重
     for(i=1;i<=m;i++)
     {
         scanf("%d",&val[i]); //IQ值
         sum+=val[i];
     }
    memset(dp,0,sizeof(dp));  //置零
    for(i=1;i<=m;i++)
    for(j=0;j<=T;j++)
    {
        if(j>=w[i])
            dp[i][j]=max(dp[i-1][j],dp[i-1][j-w[i]]+val[i]);//放还是不放的选择
        else
            dp[i][j]=dp[i-1][j];
    }
    printf("%d\n",sum-dp[m][T]);
    }
    return 0;
}      //01背包问题的另一种形式
*/


#include<iostream>

int main(){
	int t,W,n,i,j,temp,sum;
	int *w,*v,*f;
	scanf("%d",&t);
	while(t--){
		scanf("%d%d",&W,&n);
		w = new int[n];
		v = new int[n];
		f = new int[W+1];					//在VS上，f = new int[W+1]();会初始化为0,但是OJ上面不会
		memset(f,0,(W+1)*sizeof(int));		//WA1
		for(i=0;i<n;i++){
			scanf("%d",w+i);
		}
		sum=0;
		for(i=0;i<n;i++){
			scanf("%d",v+i);
			sum += v[i];
		}
		for(i=0;i<n;i++){
			for(j=W;j>=0;j--){				//从后往前
				if(j>=w[i] && f[j]<(temp=f[j-w[i]]+v[i])){
					f[j] = temp;
				}
			}
		}
		for(i=j=0;j<=W;j++){
//			printf("j=%d f[j]=%d\n",j,f[j]);
			if(i<f[j]){
				i = f[j];
			}
		}
		printf("%d\n",sum-f[W]);
		delete[] w;
		delete[] v;
		delete[] f;
	}
}