DMOPC '18 Contest 2 P0 - Mimi and Video Games

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Points: 3
Time limit: 2.0s
Memory limit: 64M
Author:

Problem type

Mimi is playing her favourite video game, Enur Yrotcaf 4.

In this game, you own an N \times N field, and can water an i \times i square of plants at the cost of \alpha \times i EP (Enur Points).

Given that Mimi has R EP, what is the largest square of plants that she can water?

Constraints

1 \leq N, \alpha, R \leq 1\,000\,000\,000

Input Specification

The only line of input will have 3 space-separated integers, N, \alpha and R.

Output Specification

The largest i less than or equal to N such that Mimi can water a field of size i \times i or 0 if she cannot water any field.

Sample Input 1

5 3 6

Sample Output 1

2

Sample Input 2

5 3 30

Sample Output 2

5

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