We try our best to make sure that the stopping point is clear. Often it will be checkmate or a decisive material advantage.
Puzzles can also end with a pending overwhelming attack or massive positional advantage.
Occasionally puzzles will end with stalemate or return to material equality (if the position warrants it).
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If you are unsure of the results, you can click on the "Analysis" button on the right hand side of the puzzle to analyze the position more closely.