The Subtraction Game

To combat boredom in lockdown, Utkarsh invited his $N-1$ friends to play a game on Discord. He gave labels to each player (including himself) as $1,2,3,...,N$. The game begins by assigning $A_i$ points to the ith player. Further, in the ascending order of the labels, each player removes $1$ point from their points. So, Player 1 goes first, followed by Player 2 and so on. After the last player has