问题 4811 --虎哥买香蕉

4811: 虎哥买香蕉

时间限制: 1 Sec  内存限制: 128 MB
提交: 261  解决: 186
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题目描述

虎哥准备买w个香蕉,他需要支付k元买第一个香蕉,支付2k元买第二个香蕉,...支付i*k元买第i个香蕉。

现在虎哥共有n元,他需要买w个香蕉,请问他还至少需要向朋友借多少钱?

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?

输入

三个整数k,n,w(1<=k,w<=1000, 0<=n<=1e9)。

The first line contains three positive integers k, n, w (1  ≤ k, w ≤  10000 ≤ n ≤ 10^9), the cost of the first banana, initial number of dollars the soldier has and number of bananas he wants.

输出

一个整数,表示虎哥所需借的钱数,如果不需要借钱,则输出0。

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.

样例输入
Copy
3 17 4
样例输出
Copy
13

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