Archive · Patches #42
Patches #42 (November 7, 2026): solution and step-by-step
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Patches #42 was the 8×8 hard board of Saturday, November 7, 2026: 12 clues (2 squares, 5 talls, 1 wide and 4 any-shape), 4 of them with an area number, and 12 rectangles to draw so that every cell is covered exactly once. The patches run from 1 to 15 cells. Our deduction solver, the one behind the hint button, lays them all without guessing in 12 steps: 7 because only one rectangle fits a clue, 5 because some uncovered cell can be reached by only one clue. The tightest clue at the start is the tall 15 at row 4, column 7, with only 1 possible rectangle before anything is placed. A brute-force solver would face 62 branch points on the way to the unique answer.
Patches #42 in numbers
| Board | 8×8, Hard |
| Clues | 12 (4 with a number) |
| Shapes | 2 square · 5 tall · 1 wide · 4 any |
| Patch sizes | 1 to 15 cells |
| Deduction steps | 12 |
| “Only one rectangle fits” steps | 7 |
| “Only one clue reaches this cell” steps | 5 |
| Brute-force branch points | 62 |
How to start Patches #42: the first 10 patches
Each placement is what the hint button would say at that point, from the empty board. Rows and columns are counted from the top-left corner.
Tall 15 clue at row 4, column 7 → 3×5 patch. Only one patch fits the tall rectangle (15) clue here: 3 wide × 5 tall. Every other rectangle would cross another clue, a placed patch or the edge.
Tall clue at row 8, column 4 → 1×2 patch. Only one patch fits the tall rectangle clue here: 1 wide × 2 tall. Every other rectangle would cross another clue, a placed patch or the edge.
Tall 3 clue at row 6, column 4 → 1×3 patch. Only one patch fits the tall rectangle (3) clue here: 1 wide × 3 tall. Every other rectangle would cross another clue, a placed patch or the edge.
Wide clue at row 8, column 2 → 2×1 patch. Only one patch fits the wide rectangle clue here: 2 wide × 1 tall. Every other rectangle would cross another clue, a placed patch or the edge.
Square clue at row 8, column 3 → 1×1 patch. Only one patch fits the square clue here: 1×1. Every other rectangle would cross another clue, a placed patch or the edge.
Any shape clue at row 2, column 3 → 4×3 patch. The outlined cell can only be reached by the any-shape clue — no other clue's patch can stretch to it — so it belongs to that patch. (Fill it in draws the whole patch: 4 wide × 3 tall.)
Any shape clue at row 2, column 6 → 4×2 patch. The outlined cell can only be reached by the any-shape clue — no other clue's patch can stretch to it — so it belongs to that patch. (Fill it in draws the whole patch: 4 wide × 2 tall.)
Tall 3 clue at row 3, column 5 → 1×3 patch. Only one patch fits the tall rectangle (3) clue here: 1 wide × 3 tall. Every other rectangle would cross another clue, a placed patch or the edge.
Tall 3 clue at row 7, column 5 → 1×3 patch. Only one patch fits the tall rectangle (3) clue here: 1 wide × 3 tall. Every other rectangle would cross another clue, a placed patch or the edge.
Square clue at row 5, column 3 → 3×3 patch. The outlined cell can only be reached by the square clue — no other clue's patch can stretch to it — so it belongs to that patch. (Fill it in draws the whole patch: 3×3.)
2 more placements finish the board.
Patches #42 solution
Each colour is one patch; the clue cell shows its shape (■ square, ▮ tall, ▬ wide, ✦ any) and area.
- any shape at row 2, column 3: 4 wide × 3 tall, top-left row 1, column 1
- any shape at row 2, column 6: 4 wide × 2 tall, top-left row 1, column 5
- tall 3 at row 3, column 5: 1 wide × 3 tall, top-left row 3, column 5
- tall 15 at row 4, column 7: 3 wide × 5 tall, top-left row 3, column 6
- square at row 5, column 3: 3 wide × 3 tall, top-left row 4, column 1
- tall 3 at row 6, column 4: 1 wide × 3 tall, top-left row 4, column 4
- tall 3 at row 7, column 5: 1 wide × 3 tall, top-left row 6, column 5
- any shape at row 7, column 1: 3 wide × 1 tall, top-left row 7, column 1
- tall at row 8, column 4: 1 wide × 2 tall, top-left row 7, column 4
- wide at row 8, column 2: 2 wide × 1 tall, top-left row 8, column 1
- square at row 8, column 3: 1 wide × 1 tall, top-left row 8, column 3
- any shape at row 8, column 8: 3 wide × 1 tall, top-left row 8, column 6
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