Player 1 and Player 2 choose and integer between 0 and 100 (including 0 and 100). Their choice is made simultaneously and independently. Suppose Player 1 chooses x and Player 2 chooses y. If x < y Player 1 obtains x and Player 2 obtains zero. Similarly, if y < x Player 2 obtains y and Player 1 obtains zero. If x = y then each one obtains x/2 = y/2.

Find all pure strategy Nash equilibrium in this game.

Kindly provide all steps thank you