Archive · Patches #34
Patches #34 (October 30, 2026): solution and step-by-step
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Patches #34 was the 7×7 hard board of Friday, October 30, 2026: 11 clues (3 squares, 3 talls, 1 wide and 4 any-shape), 1 of them with an area number, and 11 rectangles to draw so that every cell is covered exactly once. The patches run from 1 to 12 cells. Our deduction solver, the one behind the hint button, lays them all without guessing in 11 steps: 4 because only one rectangle fits a clue, 7 because some uncovered cell can be reached by only one clue. The tightest clue at the start is the tall at row 7, column 7, with only 1 possible rectangle before anything is placed. A brute-force solver would face 27 branch points on the way to the unique answer.
Patches #34 in numbers
| Board | 7×7, Hard |
| Clues | 11 (1 with a number) |
| Shapes | 3 square · 3 tall · 1 wide · 4 any |
| Patch sizes | 1 to 12 cells |
| Deduction steps | 11 |
| “Only one rectangle fits” steps | 4 |
| “Only one clue reaches this cell” steps | 7 |
| Brute-force branch points | 27 |
How to start Patches #34: 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 clue at row 7, column 7 → 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 clue at row 5, column 7 → 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.
Any shape clue at row 3, column 1 → 1×4 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: 1 wide × 4 tall.)
Square clue at row 3, column 7 → 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. That fixes the patch: 3×3.
Tall clue at row 1, column 2 → 3×4 patch. The outlined cell can only be reached by the tall rectangle clue — no other clue's patch can stretch to it — so it belongs to that patch. That fixes the patch: 3 wide × 4 tall.
Square clue at row 4, column 6 → 2×2 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. That fixes the patch: 2×2.
Square clue at row 5, column 4 → 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 6, column 3 → 6×1 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: 6 wide × 1 tall.)
Any shape clue at row 5, column 1 → 3×1 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: 3 wide × 1 tall.)
Any shape clue at row 7, column 3 → 4×1 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 × 1 tall.)
1 more placements finish the board.
Patches #34 solution
Each colour is one patch; the clue cell shows its shape (■ square, ▮ tall, ▬ wide, ✦ any) and area.
- any shape at row 3, column 1: 1 wide × 4 tall, top-left row 1, column 1
- tall at row 1, column 2: 3 wide × 4 tall, top-left row 1, column 2
- square at row 3, column 7: 3 wide × 3 tall, top-left row 1, column 5
- square at row 4, column 6: 2 wide × 2 tall, top-left row 4, column 5
- tall at row 5, column 7: 1 wide × 2 tall, top-left row 4, column 7
- any shape at row 5, column 1: 3 wide × 1 tall, top-left row 5, column 1
- square at row 5, column 4: 1 wide × 1 tall, top-left row 5, column 4
- any shape at row 6, column 3: 6 wide × 1 tall, top-left row 6, column 1
- tall at row 7, column 7: 1 wide × 2 tall, top-left row 6, column 7
- any shape at row 7, column 3: 4 wide × 1 tall, top-left row 7, column 1
- wide 2 at row 7, column 5: 2 wide × 1 tall, top-left row 7, column 5
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