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Ultimate Tic-Tac-Toe is a variant of the well known tic-tac-toe (noughts andcrosses) board game. Two players compete to win three aligned "fields", each ofthem being a tic-tac-toe game. Each move determines which field the next playermust play in.  We show that there exist a winning strategy for the first player, andtherefore that there exist an optimal winning strategy taking at most 43 moves;that the second player can hold on at least 29 rounds; and identify any optimalstrategy's first two moves.

At Most 43 Moves, At Least 29: Optimal Strategies and Bounds for Ultimate Tic-Tac-Toe