Mimi is playing her favourite video game, Enur Yrotcaf 4.
In this game, you own an field, and can water an square of plants at the cost of EP (Enur Points).
Given that Mimi has EP, what is the largest square of plants that she can water?
The only line of input will have 3 space-separated integers, , and .
The largest less than or equal to such that Mimi can water a field of size or if she cannot water any field.
Sample Input 1
5 3 6
Sample Output 1
Sample Input 2
5 3 30
Sample Output 2