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Victor Allis in his program VICTOR used his algorithm for six by seven connect four, his algorithm has proven to give a sure win.

Is it possible to have similar algorithm for x by y board?

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There's no formula to determine which player wins (or whether it's a forced draw) on an $x$ by $y$ board, other than just letting a dedicated (complicated) solver program run a few hours/weeks/years.

On a 7 by 6 board, the first player wins, but for example on an 8 by 8 board, it's a win for the second player, as mentioned here, linking to this GitHub page.

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