Algorithm


A. Soldier and Bananas
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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
Copy
3 17 4
output
Copy
13



 

Code Examples

#1 Code Example with C++ Programming

Code - C++ Programming

#include<iostream>
using namespace std;

int main(){
  int k, n, w;
  cin>>k;
  cin>>n;
  cin>>w;

  int sum = 0;
  for(int i = 1; i <i= w; i++){
    sum += i*k;
  }
  int b = (sum - n) > 0 ? (sum - n) : 0;
  cout<i<ib;
  return 0;

}
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Input

x
+
cmd
3 17 4

Output

x
+
cmd
13
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Demonstration


Codeforcess Solution 546-A A. Soldier and Bananas ,C++, Java, Js and Python ,546-A,Codeforcess Solution

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