CodeforcesApr 08, 2025

Soldier and Bananas

Hazrat Ali

Codeforces

A soldier wants to buy w bananas in the shop. He has to pay k dollars for the first banana, 2k dollars for the second one and so on (in other words, he has to pay i·k dollars for the i-th banana).

He has n dollars. How many dollars does he have to borrow from his friend soldier to buy w bananas?

Input

The first line contains three positive integers k, n, w (1  ≤  k, w  ≤  10000 ≤ n ≤ 109), the cost of the first banana, initial number of dollars the soldier has and number of bananas he wants.

Output

Output one integer — the amount of dollars that the soldier must borrow from his friend. If he doesn't have to borrow money, output 0.

Examples
Input
3 17 4
Output
13
 
Solution 
#include<stdio.h>

int main()
{
    long long int starting_price,money,amount,cost=0;
    scanf("%lld%lld%lld",&starting_price,&money,&amount);
    for(int i=1; i<=amount; i++)
    {
        cost+=starting_price*i;
    }
    if(cost<=money)
        printf("0");
    else
        printf("%lld",cost-money);
}
 
 
 
 
 
 

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