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4x4: easy intermediate hard challenging expert
6x6: easy intermediate hard challenging expert
8x8: easy intermediate hard challenging expert
9x11: easy intermediate hard challenging expert
9x17: easy intermediate hard challenging expert

Kakuro is like a crossword puzzle with numbers. Each "word" must add up to the number provided in the clue above it or to the left. Words can only use the numbers 1 through 9, and a given number can only be used once in a word. Every kakuro puzzle has one and only solution, and can be solved through logic alone.

Kakuro Blog
Kakuro Rules
Kakuro Tutorials: Basic Challenging

Kakuro Hint: Not sure what all of the valid combinations are for a number? Click on the number clue, and a tooltip will show you the possibilities.

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Also try sudoku and hitori