Sumino

Answer for 2026-08-14

Spoilers ahead! The highlighted cells stay; crossed-out values are removed. Below the grid you will find the complete deduction path: the same reasoning the in-game hints use, step by step.

15242230141113
125832796
233677475
162426314
277791938
106312935
204349528
215736473

Step-by-step walkthrough

  1. Must stay: column 3: without this 9 the remaining cells sum to 20, short of the target 22. Keep (4,3).
  2. Must stay: column 4: without this 7 the remaining cells sum to 26, short of the target 30. Keep (2,4).
  3. Must stay: column 4: without this 6 the remaining cells sum to 27, short of the target 30. Keep (3,4).
  4. Must stay: column 4: without this 9 the remaining cells sum to 24, short of the target 30. Keep (6,4).
  5. Must stay: column 4: without this 6 the remaining cells sum to 27, short of the target 30. Keep (7,4).
  6. Multiples: column 4: the other undecided values are all multiples of 2, so keeping 1 would leave an unreachable remainder. Remove (4,4).
  7. Sum check: row 1: no combination reaches the target with this 8 included. Remove (1,2).
  8. Sum check: row 1: no combination reaches the target with this 6 included. Remove (1,7).
  9. Sum check: row 4: no combination reaches the target with this 9 included. Remove (4,5).
  10. Sum check: row 4: no combination of the other undecided cells reaches 18 without this 3. Keep (4,6).
  11. Sum check: row 4: no combination of the other undecided cells reaches 18 without this 8. Keep (4,7).
  12. Sum check: row 7: no combination of the other undecided cells reaches 15 without this 5. Keep (7,1).
  13. Too big: column 6: value 9 exceeds the remaining target 8. Remove (1,6).
  14. Too big: column 7: value 8 exceeds the remaining target 5. Remove (6,7).
  15. Must stay: row 1: without this 7 the remaining cells sum to 10, short of the target 12. Keep (1,5).
  16. Must stay: column 2: without this 7 the remaining cells sum to 23, short of the target 24. Keep (4,2).
  17. Must stay: column 2: without this 7 the remaining cells sum to 23, short of the target 24. Keep (7,2).
  18. All out: row 4: the target is already reached, so all undecided cells go. Remove (4,1).
  19. Too big: row 7: value 4 exceeds the remaining target 3. Remove (7,5).
  20. Too big: row 7: value 7 exceeds the remaining target 3. Remove (7,6).
  21. Too big: column 5: value 9 exceeds the remaining target 7. Remove (5,5).
  22. Must stay: column 6: without this 7 the remaining cells sum to 6, short of the target 8. Keep (2,6).
  23. Too big: column 6: value 3 exceeds the remaining target 1. Remove (5,6).
  24. Too big: column 6: value 2 exceeds the remaining target 1. Remove (6,6).
  25. All in: column 6: the remaining target 1 equals the sum of all undecided cells, so all of them stay. Keep (3,6).
  26. Cut off: this cell is cut off from the kept area, so it cannot be part of the single island. Remove (7,7).
  27. All in: row 7: the remaining target 3 equals the sum of all undecided cells, so all of them stay. Keep (7,3).
  28. Multiples: row 3: the remaining target 9 is not a multiple of 2, so this cell must stay. Keep (3,5).
  29. Multiples: column 2: the remaining target 10 is not a multiple of 3, so this cell must stay. Keep (3,2).
  30. Multiples: column 7: the other undecided values are all multiples of 5, so keeping 4 would leave an unreachable remainder. Remove (3,7).
  31. Too big: column 5: value 5 exceeds the remaining target 4. Remove (6,5).
  32. All in: row 6: the remaining target 11 equals the sum of all undecided cells, so all of them stay. Keep (6,1), (6,2), (6,3).
  33. All in: column 5: the remaining target 4 equals the sum of all undecided cells, so all of them stay. Keep (2,5).
  34. Too big: row 2: value 6 exceeds the remaining target 5. Remove (2,2).
  35. Too big: row 2: value 7 exceeds the remaining target 5. Remove (2,3).
  36. All in: column 2: the remaining target 3 equals the sum of all undecided cells, so all of them stay. Keep (5,2).
  37. All in: column 3: the remaining target 6 equals the sum of all undecided cells, so all of them stay. Keep (1,3), (3,3), (5,3).
  38. All out: row 3: the target is already reached, so all undecided cells go. Remove (3,1).
  39. Too big: row 1: value 5 exceeds the remaining target 2. Remove (1,1).
  40. All in: row 1: the remaining target 2 equals the sum of all undecided cells, so all of them stay. Keep (1,4).
  41. All out: column 4: the target is already reached, so all undecided cells go. Remove (5,4).
  42. Must stay: row 2: without this 5 the remaining cells sum to 3, short of the target 5. Keep (2,7).
  43. Must stay: row 5: without this 6 the remaining cells sum to 5, short of the target 6. Keep (5,1).
  44. All out: row 2: the target is already reached, so all undecided cells go. Remove (2,1).
  45. All out: row 5: the target is already reached, so all undecided cells go. Remove (5,7).

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