Where Will the Ball Fall

Statement

You have $n$ balls and a 2D grid of size $m \times n$ representing a box. The box is open on the top and bottom sides. Each cell in the box has a diagonal that can redirect a ball to the right or the left. You must drop $n$ balls at each column’s top. The goal is to determine whether each ball will fall out of the bottom or become stuck in the box. Each cell in the grid has a value of $1$ ...