This is the Guess-The-Number game with a twist! Variant 1 Take any positive integer $n$. The game-master chooses an $n$-bit integer $x$. The player makes queries one by one, each of the form “Is $x$ (strictly) less than $k$?”. The game-master answers each query immediately, always truthfully except at most once. At the end the […]

Consider a 9 by 9 matrix that consists of 9 block matrices of 3 by 3. Let each 3 by 3 block be a game of tic-tac-toe. For each game, label the 9 cells of the game from 1-9 with order from left to right, from above to down, call this a cell number. Label […]

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