21FA - 10 Panda Land

Panda Panda is traversing a $n \times m$ bamboo forest where he starts at the top left corner $(1, 1)$ and wants to walk to the bottom right corner $(n, m)$. He can only move down and right through the forest.   As the zookeeper, you get to decide how much bamboo is in each cell in the grid. However, each cell has a distinct number of bamboo in the range 0 through $n * m - 1$ inclusive.   Re