2014 Advanced #7
Source:
July 1, 2022
2014Advanced Topics Test
Problem Statement
Two math students play a game with sticks. Alternating turns, each one chooses a number from the set and removes exactly that number of sticks from the pile (so if the pile only has sticks remaining the next player must take ). The winner is the player who takes the last stick. For , determine the number of cases in which the first player can guarantee that he will win.