Box Game

There are $N$ boxes on a table, numbered $1$ through $N$ from left to right. Each box has a number written on it; let's denote the number written on box $i$ by $A_i$. Two players ― Jafar and Almir ― are playing a game that lasts for $K$ turns. The rules of the game are as follows: - Before the game starts, they flip a coin to decide the starting player. - In the first turn, the starting playe