A Kakuro puzzle is a crossword which uses numbers. The "clues" are in the small triangles. The answers contain the numbers 1 through 9.
The numbers in an answer must add up to the clue. However, no number can be duplicated in an answer. Hence, a clue of 6 (over 2 squares) could have a solution of 2+4 or 1+5, but not 3+3. Good luck!
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