Can you reverse-engineer a perfect game of tic-tac-toe?
While playing tic-tac-toe, the past is irrelevant. The move you make in any given position never depends onthat position. So it’s impressive that a static diagram from a game where the past does not matter can have the last four moves uniquely determined. This is the subject of retrograde analysis
puzzles , which present a position from some game and require you to deduce something about the history of the game. Chess is the granddaddy of the retro genre. Its rigid rules allow for staggering constructions like the position , which asks you to determine the last 96 moves! Solvers must dust off trace evidence from long-gone events, like a paleontologist inferring dinosaur diets from scratch marks on fossilized teeth.While I adore chess puzzles of all types , I am unlikely to run them here for the foreseeable future because I wouldn’t want to alienate readers who don’t play.
There is a whole, rich world of coin-weighing puzzles. They all challenge solvers to find counterfeit coins with a limited number of weighings, but they typically involve athat only tells you whether the coins in one dish are heavier or lighter than those in the other . This puzzle is special in that you get a proper numeric scale but the minimum possible number of weighings. I also find the solution particularly elegant.
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