One or All

Chef and Chefina are playing a game. There are $N$ piles where $i^{th}$ pile contains $A_i$ stones. The players take alternate turns with **Chef starting the game**. In his/her turn, a player can make **one** of the following type of move: - Type $1$: Choose **any** non-empty pile and remove $1$ stone from that pile. - Type $2$: Remove $1$ stone each from **all** the $N$ piles. This move can be