Problem #PRU-100392

Problems Algebra Arithmetic operations. Number identities Set theory and logic Algorithm Theory Game Theory Winning and loosing positions

Problem

Once again consider the game from Example 2.

(a) Will you change your answer if the field is a rectangle?

(b) The rules are changed. Now you win if the sum of numbers in each row is greater than 100 and the sum of the numbers in each column is less than 100. Is it possible to win?