uva 10137 The Trip

Description

A number of students are members of a club that travels annually to exotic locations. Their destinations in the past have included Indianapolis, Phoenix, Nashville, Philadelphia, San Jose, and Atlanta.

This spring they are planning a trip to Eindhoven. The group agrees in advance to share expenses equally, but it is not practical to have them share every expense as it occurs. So individuals in the group pay for particular things, like meals, hotels, taxi rides, plane tickets, etc. After the trip, each student’s expenses are tallied and money is exchanged so that the net cost to each is the same, to within one cent. In the past, this money exchange has been tedious and time consuming. Your job is to compute, from a list of expenses, the minimum amount of money that must change hands in order to equalize (within a cent) all the students’ costs.

Input

Standard input will contain the information for several trips. The information for each trip consists of

a line containing a positive integer, n, the number of students on the trip, followed by n lines of input,

each containing the amount, in dollars and cents, spent by a student. There are no more than 1000

students and no student spent more than $10,000.00. A single line containing 0 follows the information

for the last trip.

Output

For each trip, output a line stating the total amount of money, in dollars and cents, that must be

exchanged to equalize the students’ costs.

Sample Input

3

10.00

20.00

30.00

4

15.00

15.01

3.00

3.01

0

Sample Output

$10.00

$11.99

//
//  main.cpp
//  PC_test
//
//  Created by liuyuhan on 17/2/20.
//  Copyright (c) 2017年 liuyuhan. All rights reserved.
//

/*
the money has all been spent.
the output is the whole money that is received or given.
---------------------- up
|    _________________
-----------------|----|                 aver-pay(supposed)
|
_________________|                      down
一定要保证退的钱（up）比补的钱（down）少,所以给多的人给被告知有比aver高0.01的支出，以此来弥补当初对aver下取整时造成的空缺，当空缺补足时，就把多余的钱退还给剩下的给多的人。这个空缺被花费出去，没有得到给少的人的补给。
除不开的钱（小数点后两位之后）被一部分给的多的人假装平摊掉了（假设他们的支出比别人多一分钱），这部分人被少退了一些钱。
这样可以使得 补给的钱 >= 退掉的钱

*/
#include <iostream>
#include <string.h>
#include <stdio.h>
#include <math.h>

using namespace std;

int main(int argc, const char * argv[]) {
int n; // the number of persons
//cout << (int)99.5 << endl;
while(cin >> n) {
if (n == 0)
break;
int i; // the index of student
double hand[1001]; // the list of money every student hands up
double sum = 0; // the sum of money
double aver; // the average of money
double up = 0; // the sum of upper
int count = 0;
//double res; // result;
for (i = 0; i < n; i ++)
{
cin >> hand[i];
sum += hand[i];
}
aver = ((int)((sum / n) * 100))/100.0;
for (i = 0; i < n; i ++)
{
if (aver + 0.01 < hand[i]) {
up += hand[i] - aver - 0.01;
count ++;
}
}

if (0.01 * count > sum - aver * n)
up += 0.01 * count - (sum - aver * n);

printf("$%.2f\n", up);
}
return 0;
}