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?
~1 \leq N, \alpha, R \leq 1\,000\,000\,000~
The only line of input will have 3 space-separated integers, ~N~, ~\alpha~ and ~R~.
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
Sample Input 2
5 3 30
Sample Output 2