Silver Plate Sudoku — Play It Online, With the Full Solution

Updated

Silver Plate is a 21-clue sudoku from the Sudoku Players’ Forum list of the hardest known puzzles, rated SE 11.5 there — a notch below the 11.9 grids at the very top and still far beyond anything a newspaper prints. Play it below, print it, or follow the engine’s solution further down.

Silver Plate, 21 givens, as listed on the Sudoku Players’ Forum.
c1c2c3c4c5c6c7c8c9
r117
r2246
r335
r494
r5624
r698
r753
r8628
r971
Clues
21
Published SE rating
SE 11.5
Suuudokuuu rater
8.5+, past every implemented technique

Play Silver Plate in the appPrint Silver Plate — PDF with the solution

Where Silver Plate comes from

Like Kolk, Silver Plate is one of the named grids in the forum’s long-running “hardest sudokus” thread, the list where solvers collect and rate the hardest grids they find. The figure here is the forum’s published rating, carried by the Suuudokuuu Infinity corpus, not a Suuudokuuu measurement.

Source: Sudoku Players’ Forum, “The hardest sudokus (new thread)”. Every other record grid is on the hardest sudoku puzzles page.

The Silver Plate solution, step by step

Suuudokuuu’s source-available engine solves Silver Plate in 121 steps, reaching for the cheapest technique that still makes progress, exactly as it does when it rates a puzzle. 29 of those steps are forcing chains: the engine assumes a candidate, follows its consequences until something breaks, and removes the assumption. At 2 points even that runs dry — no technique the engine implements moves the grid — and the walkthrough says so, fills the cell with the fewest candidates from the verified solution, and carries on with logic from there. Every other step is a named deduction you can check by hand.

Along the way the walkthrough uses Full House, Naked Single, Hidden Single, Pointing Pair, Box Line Reduction, Naked Pair, Naked Triple, Hidden Pair, X-Wing, Finned Swordfish, Sashimi X-Wing, AIC, Unique Rectangle and Nishio Forcing Chain.

Show all 121 steps
  1. No implemented technique proves the next digit here, so r1c2 = 5 is filled in from the verified solution. Filled from the solution
  2. No implemented technique proves the next digit here, so r2c1 = 8 is filled in from the verified solution. Filled from the solution
  3. The Hidden Single places 8 in r3c9. Hidden Single
  4. The Hidden Single places 4 in r1c7. Hidden Single
  5. The Pointing Pair removes 2 from r4c8, r6c8, r7c8, r9c8. Pointing Pair
  6. The Nishio Forcing Chain removes 1 from r6c9. Nishio Forcing Chain
  7. The Nishio Forcing Chain removes 9 from r8c7. Nishio Forcing Chain
  8. The Nishio Forcing Chain removes 1 from r8c9. Nishio Forcing Chain
  9. The Nishio Forcing Chain removes 1 from r4c9. Nishio Forcing Chain
  10. The Nishio Forcing Chain removes 9 from r8c9. Nishio Forcing Chain
  11. The Nishio Forcing Chain removes 9 from r9c3. Nishio Forcing Chain
  12. The Nishio Forcing Chain removes 4 from r7c2. Nishio Forcing Chain
  13. The Nishio Forcing Chain removes 5 from r4c9. Nishio Forcing Chain
  14. The Nishio Forcing Chain removes 2 from r4c7. Nishio Forcing Chain
  15. The Pointing Pair removes 2 from r9c9. Pointing Pair
  16. The Nishio Forcing Chain removes 9 from r9c7. Nishio Forcing Chain
  17. The Nishio Forcing Chain removes 4 from r9c2. Nishio Forcing Chain
  18. The Nishio Forcing Chain removes 9 from r7c8. Nishio Forcing Chain
  19. The Naked Pair removes 1, 7 from r7c7, r7c7. Naked Pair
  20. The Nishio Forcing Chain removes 1 from r2c5. Nishio Forcing Chain
  21. The Pointing Pair removes 1 from r3c8. Pointing Pair
  22. The Nishio Forcing Chain removes 8 from r5c2. Nishio Forcing Chain
  23. The Pointing Pair removes 8 from r9c3. Pointing Pair
  24. The Nishio Forcing Chain removes 1 from r5c3. Nishio Forcing Chain
  25. The Nishio Forcing Chain removes 5 from r5c4. Nishio Forcing Chain
  26. The Nishio Forcing Chain removes 5 from r4c1. Nishio Forcing Chain
  27. The Nishio Forcing Chain removes 6 from r4c3. Nishio Forcing Chain
  28. The Nishio Forcing Chain removes 6 from r1c4. Nishio Forcing Chain
  29. The Nishio Forcing Chain removes 8 from r4c4. Nishio Forcing Chain
  30. The AIC removes 8 from r7c6. AIC
  31. The Nishio Forcing Chain removes 5 from r4c6. Nishio Forcing Chain
  32. The Nishio Forcing Chain removes 1 from r5c7. Nishio Forcing Chain
  33. The Nishio Forcing Chain removes 8 from r7c4. Nishio Forcing Chain
  34. The Nishio Forcing Chain removes 6 from r3c4. Nishio Forcing Chain
  35. The Pointing Pair removes 6 from r7c6. Pointing Pair
  36. The Nishio Forcing Chain removes 7 from r5c7. Nishio Forcing Chain
  37. The ALS-XZ removes 9 from r7c7. ALS-XZ
  38. The Pointing Pair removes 9 from r9c5. Pointing Pair
  39. The Naked Pair removes 6 from r4c7. Naked Pair
  40. The Pointing Pair removes 6 from r9c9. Pointing Pair
  41. The Hidden Pair removes 5 from r6c9. Hidden Pair
  42. The Nishio Forcing Chain removes 8 from r9c4. Nishio Forcing Chain
  43. The Pointing Pair removes 8 from r1c5. Pointing Pair
  44. The Nishio Forcing Chain removes 1 from r4c4. Nishio Forcing Chain
  45. The Finned Swordfish removes 1 from r5c9. Finned Swordfish
  46. The Hidden Single places 1 in r2c9. Hidden Single
  47. The Naked Pair removes 3 from r4c7. Naked Pair
  48. The Naked Triple removes 3 from r5c2, r5c4. Naked Triple
  49. The ALS-XZ removes 1 from r6c3. ALS-XZ
  50. The X-Wing removes 1 from r4c8. X-Wing
  51. The Nishio Forcing Chain removes 3 from r6c5. Nishio Forcing Chain
  52. The Nishio Forcing Chain removes 3 from r4c1. Nishio Forcing Chain
  53. The Naked Pair removes 2 from r4c3. Naked Pair
  54. The Naked Triple removes 1, 7 from r6c2, r6c2, r6c3. Naked Triple
  55. The Unique Rectangle removes 2, 6 from r6c1, r6c1. Unique Rectangle
  56. The Hidden Pair removes 4 from r6c3. Hidden Pair
  57. The Box Line Reduction removes 4 from r7c1, r8c1. Box Line Reduction
  58. The Hidden Single places 4 in r7c6. Hidden Single
  59. The Sue de Coq removes 7, 9 from r7c5, r8c3. Sue de Coq
  60. The Pointing Pair removes 9 from r3c1. Pointing Pair
  61. The Sashimi X-Wing removes 7 from r4c4, r5c4. Sashimi X-Wing
  62. The Box Line Reduction removes 7 from r4c3. Box Line Reduction
  63. The ALS-XZ removes 7 from r3c6. ALS-XZ
  64. The ALS-XZ removes 9 from r8c6. ALS-XZ
  65. The Pointing Pair removes 9 from r1c5, r2c5, r3c5. Pointing Pair
  66. The ALS-XZ removes 9 from r1c8. ALS-XZ
  67. The Naked Pair removes 3 from r1c4, r1c6. Naked Pair
  68. The Naked Single places 8 in r1c4. Naked Single
  69. The Hidden Single places 8 in r5c3. Hidden Single
  70. The Hidden Single places 7 in r2c3. Hidden Single
  71. The Hidden Single places 7 in r5c2. Hidden Single
  72. The Hidden Single places 1 in r7c2. Hidden Single
  73. The Hidden Single places 8 in r9c2. Hidden Single
  74. The Hidden Single places 3 in r6c2. Hidden Single
  75. The Full House places 4 in r3c2. Full House
  76. The Hidden Single places 3 in r8c1. Hidden Single
  77. The Hidden Single places 4 in r6c1. Hidden Single
  78. The Hidden Single places 9 in r7c1. Hidden Single
  79. The Hidden Single places 2 in r4c1. Hidden Single
  80. The Hidden Single places 2 in r9c3. Hidden Single
  81. The Full House places 4 in r8c3. Full House
  82. The Hidden Single places 9 in r1c3. Hidden Single
  83. The Full House places 6 in r3c1. Full House
  84. The Full House places 5 in r5c1. Full House
  85. The Hidden Single places 8 in r4c6. Hidden Single
  86. The Hidden Single places 3 in r5c7. Hidden Single
  87. The Hidden Single places 3 in r4c4. Hidden Single
  88. The Hidden Single places 5 in r4c8. Hidden Single
  89. The Hidden Single places 7 in r4c7. Hidden Single
  90. The Hidden Single places 5 in r9c4. Hidden Single
  91. The Hidden Single places 6 in r7c4. Hidden Single
  92. The Hidden Single places 7 in r3c4. Hidden Single
  93. The Full House places 1 in r5c4. Full House
  94. The Full House places 9 in r5c9. Full House
  95. The Hidden Single places 1 in r3c5. Hidden Single
  96. The Hidden Single places 2 in r3c8. Hidden Single
  97. The Full House places 9 in r3c6. Full House
  98. The Hidden Single places 2 in r1c5. Hidden Single
  99. The Hidden Single places 9 in r8c5. Hidden Single
  100. The Hidden Single places 7 in r6c5. Hidden Single
  101. The Full House places 5 in r6c6. Full House
  102. The Hidden Single places 5 in r2c5. Hidden Single
  103. The Hidden Single places 2 in r6c9. Hidden Single
  104. The Naked Single places 6 in r1c6. Naked Single
  105. The Full House places 3 in r1c8. Full House
  106. The Full House places 3 in r2c6. Full House
  107. The Full House places 9 in r2c7. Full House
  108. The Full House places 7 in r8c6. Full House
  109. The Naked Single places 1 in r4c3. Naked Single
  110. The Full House places 6 in r6c3. Full House
  111. The Full House places 6 in r4c9. Full House
  112. The Full House places 1 in r6c8. Full House
  113. The Naked Single places 8 in r7c5. Naked Single
  114. The Full House places 3 in r9c5. Full House
  115. The Naked Single places 2 in r7c7. Naked Single
  116. The Full House places 7 in r7c8. Full House
  117. The Full House places 9 in r9c8. Full House
  118. The Naked Single places 1 in r8c7. Naked Single
  119. The Full House places 6 in r9c7. Full House
  120. The Full House places 5 in r8c9. Full House
  121. The Full House places 4 in r9c9. Full House