Is Sudoku harder than chess?

Is Sudoku harder than chess? A chess problem is much more complicated than a Sudoku, because the number of possibilities could be astronomical. Such problems are generally infeasible unless White can force checkmate in a few moves.

A chess problem is much more complicated than a Sudoku, because the number of possibilities could be astronomical. Such problems are generally infeasible unless White can force checkmate in a few moves.
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