Kakuro · strategies
Know the magic sums.
Fill each run with distinct digits 1–9 that add to its clue. A handful of sums have only one possible digit set — they crack the grid open.
Magic sums
Some clues have exactly one digit combination — memorize them. In two cells: 3=1+2, 4=1+3, 16=7+9, 17=8+9. In three cells: 6=1+2+3, 7=1+2+4, 23=6+8+9, 24=7+8+9.
Cross-reference
Every cell sits in two runs. Intersect their candidate digits: a cell in “17 in two” (8 or 9) crossing “3 in two” (1 or 2) is impossible — so the 17-run’s other cell carries the crossing.
High-low squeeze
A big clue in few cells forces high digits everywhere (23-in-three is all 6+); a small clue forces low ones. When a high run crosses a low run, their shared cell has almost no options.
Missing-digit arithmetic
In a run of length n, the digits are n distinct values summing to the clue. One empty cell = clue minus what’s placed. Two empty cells = a known pair sum — check which pair is still legal in both crossings.
Order of attack
Magic sums first, then their crossings, then squeeze the highs against the lows. Never guess — every MindYourPuzzle Kakuro has a unique solution reachable by deduction.