Before you click "START PUZZLE" there is a "This Puzzles Statistics" box that shows the successful completion rate. 4x4 puzzles have generally a higher completetion rate (60% or better) while 5x5 puzzles are lower. So, I simply hit refresh until I get a low number. I've seen <20% for 5x5 but they seem to hover around 45% to 52% on average.
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