Making tasks is hard. That's why Vlad went to play with hedgehogs and dice. He had 2 types of dice, $$$x$$$ dice with the letter A drawn on them, and $$$y$$$ dice with the letter C drawn on them. He came up with an ACC triangle, based on the principle of Pascal's triangle. On the $$$i$$$-th layer $$$(i \gt 0)$$$ of the ACC triangle, there should be exactly one letter A and exactly $$$i-1$$$ letters C following it.

example of an ACC triangle of height 4

Since Vlad doesn't have time for dice (he has hedgehogs), he asked you to tell him the maximum height of the triangle he can build from the dice he has.