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math.CO2017
PRIMES STEP Plays Games
Pratik Alladi, Neel Bhalla, Tanya Khovanova +7
A group of students in 7-9 grades are inventing combinatorial impartial games. The games are played on graphs, piles, and grids. We found winning positions, optimal strategies, and…
math.CO2017★ 1 cited
On Variations of Nim and Chomp
June Ahn, Benjamin Chen, Richard Chen +8
We study two variations of Nim and Chomp which we call Monotonic Nim and Diet Chomp. In Monotonic Nim the moves are the same as in Nim, but the positions are non-decreasing numbers…