[ACM_模拟][ACM_暴力] Lazier Salesgirl [暴力 懒销售睡觉]

Description

Kochiya Sanae is a lazy girl who makes and sells bread. She is an expert at bread making and selling. She can sell the i-th customer a piece of bread for price p_i. But she is so lazy that she will fall asleep if no customer comes to buy bread for more than w minutes. When she is sleeping, the customer coming to buy bread will leave immediately. It's known that she starts to sell bread now and the i-th customer come after t_i minutes. What is the minimum possible value of w that maximizes the average value of the bread sold?

Input

There are multiple test cases. The first line of input is an integer T ≈ 200 indicating the number of test cases.

The first line of each test case contains an integer 1 ≤ n ≤ 1000 indicating the number of customers. The second line contains n integers 1 ≤ p_i ≤ 10000. The third line contains n integers 1 ≤ t_i ≤ 100000. The customers are given in the non-decreasing order of t_i.

Output

For each test cases, output w and the corresponding average value of sold bread, with six decimal digits.

Sample Input

2
4
1 2 3 4
1 3 6 10
4
4 3 2 1
1 3 6 10

Sample Output

4.000000 2.500000
1.000000 4.000000


题目大意：T种情况，每种n个客人，第i个客人可赚p[i]元钱，第i个客人t[i]时间来，卖东西的很懒，如果w时间内没人来就睡觉，一觉不起，求最大人均赚的钱同时输出最小w.
解题思路：暴力枚举每次在第i个顾客来后睡。用w[i]保存想赚第i个人w的最小值，用av[i]保存赚前i个顾客的平均值。如果在第i个顾客来后睡觉就要满足w[i]<w[i+1]（这个式子表明第i和第i+1个顾客之间的时间间隔比之前的都大，所以可以取w=w[i]来在这点后睡觉不醒）

#include<iostream>
#include<string.h>
#include<cstring>
#include<cstdio>
#include<string>
using namespace std;
int main(){
    int T;cin>>T;
    while(T--){
        int n;cin>>n;
        int p[1002],t[1002];
        //w[i]表示赚第i个人需要w的最小值;av[i]表示前i个的人均赚钱数
        double w[1002],av[1002];
        double sum=0;
        for(int i=0;i<n;i++){
            cin>>p[i];
            sum+=p[i];
            av[i]=sum/(i+1);
        }
        double max_w=-1;
        for(int i=0;i<n;i++){
            cin>>t[i];
            if(i!=0){
                if(t[i]-t[i-1]>max_w){
                    max_w=t[i]-t[i-1];
                    w[i]=max_w;
                }else w[i]=max_w;
            }
            else {
                max_w=t[0];
                w[i]=max_w;
            }
        }w[n]=1312312313;//w[n]赋值很高
        
        int pos=0;double max_av=-1;//暴力枚举在i点睡着
        for(int i=0;i<=n;i++){
            if(w[i]<w[i+1]){
                if(av[i]>max_av){
                    max_av=av[i];
                    pos=i;
                }
            }
        }

        printf("%.6lf %.6lf
",w[pos],av[pos]);
    }return 0;
}