Mobile Game

Chef likes to play games on his new phone. He just downloaded a new game, in which there are three rules. ``` $1:$ You get $1$ point if you lose on a level $2:$ You get A[i] points if you win at $i th$ level $3:$ Whether you win or lose you are sent to next level ``` ``` ``` At the end, the final score is the product of scores of all the levels. Chef wins the game if his final score