Cross Something-Or-Others
by Thomas Snyder and Dan Katz
Answer: TOO, OUR, RYE, EAT
This puzzle comprises a set of 8 kakuro variations of many kinds that vary the normal properties of these puzzles. Unfortunately, in Mystery Hunt fashion, the puzzles have fallen off the thumb-tacked notes which explained what was what, so solvers must determine what Kakuro is each "new" type before they can solve them. Characteristics of the new puzzles (specifically how long the entries are, if sums are larger or smaller than "normal", identity of sums (a 4 or 16 in two cells cannot be composite as 13 and 31 or 79 and 97 are both prime), parity of sums, etc.) allow for the unique identification of each of the 8 variations to one of the empty grids.
Puzzle 1: Mistaken Kakuro
| 5 | 8 | 9 | 7 | 6 | 4 | 2 | 9 | 7 | 5 | |
| 3 | 4 | 6 | 8 | 5 | 2 | 1 | 8 | 5 | 2 | |
| 1 | 2 | 7 | 9 | 6 | 7 | 2 | 4 | 1 | ||
| 4 | 3 | 2 | 3 | |||||||
| 2 | 1 | 6 | 3 | 1 | 2 | 6 | 4 | 8 | 9 | |
| 9 | 6 | 8 | 2 | 1 | 1 | 3 | 2 | 9 | 7 | |
| 7 | 8 | 9 | 6 | 2 | 1 | 4 | 1 | 6 | 8 | |
| 5 | 2 | 2 | 6 | |||||||
| 8 | 5 | 9 | 8 | 4 | 9 | 1 | 3 | 9 | ||
| 6 | 4 | 8 | 9 | 6 | 7 | 2 | 4 | 5 | 8 | |
| 4 | 3 | 2 | 6 | 3 | 8 | 1 | 2 | 4 | 5 |
Puzzle 2: Blackjack Kakuro
| 9 | 1 | 7 | 1 | 5 | 1 | 4 | ||||
| 3 | 2 | 1 | 1 | 3 | 4 | 9 | 7 | 1 | ||
| 6 | 2 | 1 | 5 | 6 | 9 | 1 | 5 | 3 | ||
| 6 | 5 | 9 | 7 | 2 | 1 | 3 | ||||
| 4 | 1 | 9 | 2 | 1 | 3 | 2 | 6 | 4 | ||
| 8 | 7 | 3 | 1 | 1 | 5 | 2 | 1 | |||
| 4 | 5 | 7 | 3 | 1 | 7 | 9 | 6 | 4 | ||
| 1 | 9 | 6 | 4 | 8 | 3 | 2 | ||||
| 1 | 2 | 3 | 8 | 4 | 1 | 8 | 3 | 2 | ||
| 9 | 1 | 2 | 7 | 3 | 9 | 1 | 4 | 9 | ||
| 8 | 4 | 2 | 1 | 8 | 1 | 6 |
Puzzle 3: Checkerboard Kakuro
| 7 | 6 | 5 | 2 | 1 | 9 | 2 | 7 | 4 | 1 | |
| 6 | 7 | 2 | 9 | 8 | 6 | 7 | 8 | 1 | 2 | |
| 9 | 8 | 7 | 6 | 5 | 2 | 3 | 4 | 2 | 5 | |
| 8 | 9 | 4 | 6 | 9 | 4 | 2 | 7 | 8 | ||
| 5 | 4 | 1 | 6 | 4 | 7 | 8 | 3 | 6 | 9 | |
| 6 | 1 | 2 | 3 | 8 | 7 | 4 | ||||
| 7 | 2 | 9 | 8 | 5 | 6 | 4 | 9 | 2 | 1 | |
| 4 | 5 | 8 | 4 | 7 | 8 | 6 | 1 | 2 | ||
| 9 | 4 | 2 | 1 | 8 | 3 | 4 | 5 | 6 | 7 | |
| 2 | 1 | 8 | 9 | 6 | 6 | 9 | 8 | 5 | 4 | |
| 1 | 6 | 5 | 8 | 3 | 1 | 2 | 7 | 4 | 3 |
Puzzle 4: Duplicate Kakuro
| 9 | 9 | 2 | 2 | 4 | 2 | 1 | 4 | 1 | ||
| 1 | 6 | 1 | 4 | 4 | 3 | 5 | 8 | 5 | ||
| 1 | 9 | 7 | 9 | 4 | 9 | 9 | 4 | 8 | 5 | |
| 7 | 9 | 9 | 8 | 5 | 6 | 4 | ||||
| 6 | 1 | 6 | 8 | 9 | 1 | 5 | 2 | 9 | 3 | |
| 5 | 5 | 7 | 9 | 7 | 1 | 3 | 6 | 6 | ||
| 5 | 1 | 1 | 4 | 7 | 2 | 2 | 6 | 6 | 3 | |
| 5 | 6 | 9 | 8 | 4 | 1 | 4 | ||||
| 2 | 8 | 1 | 1 | 6 | 2 | 1 | 1 | 7 | 8 | |
| 2 | 5 | 2 | 8 | 8 | 3 | 1 | 8 | 1 | ||
| 6 | 8 | 8 | 4 | 8 | 4 | 7 | 8 | 8 |
Puzzle 5: Nonconsecutive Kakuro
| 1 | 3 | 8 | 4 | 5 | 8 | 3 | 1 | 9 | 2 | |
| 3 | 1 | 4 | 2 | 9 | 5 | 1 | 4 | 6 | 8 | |
| 8 | 5 | 7 | 9 | 6 | 9 | 6 | 8 | 5 | ||
| 7 | 9 | 6 | 8 | 7 | 4 | 2 | ||||
| 6 | 2 | 8 | 5 | 1 | 1 | 7 | 2 | 5 | ||
| 9 | 4 | 8 | 7 | 9 | 6 | 9 | 4 | 7 | ||
| 4 | 6 | 2 | 5 | 5 | 1 | 4 | 1 | 9 | ||
| 4 | 9 | 2 | 3 | 6 | 4 | 8 | ||||
| 4 | 1 | 7 | 4 | 1 | 1 | 7 | 5 | 2 | ||
| 2 | 5 | 3 | 6 | 1 | 4 | 5 | 9 | 7 | 4 | |
| 7 | 9 | 6 | 8 | 5 | 2 | 8 | 6 | 9 | 7 |
Puzzle 6: Zero Kakuro
| 4 | 5 | 0 | 1 | 5 | 8 | 7 | 9 | |||
| 6 | 8 | 9 | 2 | 7 | 1 | 5 | 0 | 2 | 3 | |
| 4 | 9 | 6 | 9 | 8 | 0 | 2 | 8 | 1 | ||
| 0 | 7 | 9 | 5 | 0 | 1 | 4 | 3 | 0 | ||
| 2 | 1 | 5 | 0 | 4 | 9 | 0 | ||||
| 3 | 6 | 0 | 7 | |||||||
| 3 | 0 | 1 | 7 | 3 | 8 | 9 | ||||
| 9 | 7 | 2 | 0 | 6 | 9 | 3 | 0 | 5 | ||
| 8 | 4 | 3 | 8 | 0 | 1 | 2 | 2 | 3 | ||
| 6 | 8 | 9 | 4 | 7 | 2 | 0 | 1 | 7 | 9 | |
| 5 | 3 | 2 | 4 | 4 | 9 | 7 | 8 |
Puzzle 7: Missing Digits Kakuro
| 9 | 8 | 1 | 4 | 1 | 6 | 4 | 1 | 3 | ||
| 1 | 9 | 6 | 9 | 4 | 8 | 1 | 9 | 6 | ||
| 4 | 6 | 3 | 8 | 1 | 1 | 6 | 8 | 4 | 9 | |
| 4 | 3 | 1 | 4 | 9 | 6 | |||||
| 3 | 4 | 9 | 1 | 8 | 6 | 8 | 3 | 1 | 9 | |
| 9 | 8 | 3 | 4 | 9 | 4 | 8 | ||||
| 8 | 3 | 4 | 1 | 8 | 6 | 4 | 1 | 9 | 3 | |
| 1 | 3 | 4 | 9 | 3 | 6 | |||||
| 8 | 3 | 9 | 6 | 1 | 3 | 8 | 4 | 9 | 1 | |
| 1 | 4 | 6 | 9 | 1 | 6 | 3 | 1 | 6 | ||
| 6 | 1 | 3 | 6 | 3 | 8 | 8 | 4 | 3 |
Puzzle 8: Composite Kakuro
| 6 | 9 | 8 | 7 | 4 | 9 | 4 | 1 | 2 | ||
| 2 | 8 | 3 | 1 | 2 | 4 | 8 | 6 | 7 | 1 | |
| 6 | 4 | 2 | 9 | 3 | 5 | 7 | 9 | 3 | ||
| 7 | 5 | 8 | 1 | 2 | 1 | 2 | 5 | |||
| 3 | 5 | 6 | 7 | 1 | 3 | |||||
| 6 | 3 | 1 | 2 | 5 | 1 | 4 | 5 | 2 | 3 | |
| 2 | 6 | 1 | 3 | 4 | 8 | |||||
| 9 | 7 | 4 | 2 | 1 | 6 | 2 | 5 | |||
| 7 | 4 | 2 | 4 | 7 | 5 | 3 | 1 | 6 | ||
| 5 | 2 | 6 | 1 | 9 | 8 | 7 | 9 | 8 | 3 | |
| 4 | 1 | 2 | 3 | 9 | 1 | 7 | 9 | 2 |
A 9th variant, called Nonsense Kakuro, is also given and is just a filled-in grid of numbers that serves as the "meta-kakuro" here. The outside sums for that grid, read in alphanumerics, state "DARKENIFTHE/DIGITISUSED". This clues to shade in those cells if the same number is used in any of the other 8 grids in the same cell. Doing this reveals a different answer word (TOO, OUR, RYE, EAT) in the unshaded cells for each of the four phases of the puzzle.
Head Quarter:
French Quarter:
Fiscal Quarter:
Last Quarter: