Teacher Mai has a board of n rows and m columns. There is a light in each cell.
He can flip some lights: if this light is on, turn it off, else turn it on.
He can choose a cell(i,j), and he has following two operations:
1. Flip the light on the cells which share a common edge with cell(i,j).
2. Flip the light on the cells which share a common edge with cell(i,j) and cell(i,j).
You are given the initial state of board. Output the minimum operations to turn off the all the lights.