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OLYMPIC-REVENGE 2021 Problem 4

    On a chessboard, Po controls a white queen and plays, in alternate turns, against an invisible black king (there are only those two pieces on the board). The king cannot move to a square where he would be in check, neither capture the queen. Every time the king makes a move, Po receives a message from beyond that tells which direction the king has moved (up, right, up-right, etc). His goal is to make the king unable to make a movement.

    Can Po reach his goal with at most 150150 moves, regardless the starting position of the pieces?

    Dataset text AI-MO AoPS. Quoted with source.

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