Smallest Difference

Consider a grid $A$ with dimensions $N \times M$, such that all elements of the grid are **distinct**. A remote controlled car is present at cell $(1,1)$. Chef and Chefina will alternatively move the car with Chef starting first. - If it is Chef's turn, he will move the car to either right or down by $1$ cell. He moves the car to the cell having **larger** element. - If it is Chefina's turn, she