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Archive · Patches #32

Patches #32 (October 28, 2026): solution and step-by-step

The 7×7 medium board from Wednesday, October 28, 2026. Play it first; the placements and the solved board are folded below. Replays don't affect your streak.

— 0:00TIMER

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squaretallwideany shapenumber = that many cells

← #31Today's puzzle →

Patches #32 was the 7×7 medium board of Wednesday, October 28, 2026: 9 clues (2 squares, 4 talls and 3 wides), 5 of them with an area number, and 9 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 9 steps: 7 because only one rectangle fits a clue, 2 because some uncovered cell can be reached by only one clue. The tightest clue at the start is the wide 2 at row 4, column 1, with only 1 possible rectangle before anything is placed. A brute-force solver would face 7 branch points on the way to the unique answer.

Patches #32 in numbers

Board7×7, Medium
Clues9 (5 with a number)
Shapes2 square · 4 tall · 3 wide · 0 any
Patch sizes1 to 15 cells
Deduction steps9
“Only one rectangle fits” steps7
“Only one clue reaches this cell” steps2
Brute-force branch points7
How to start Patches #32: the first 9 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.

  1. Wide 2 clue at row 4, column 1 → 2×1 patch. Only one patch fits the wide rectangle (2) clue here: 2 wide × 1 tall. Every other rectangle would cross another clue, a placed patch or the edge.

  2. Tall 2 clue at row 6, column 1 → 1×2 patch. Only one patch fits the tall rectangle (2) clue here: 1 wide × 2 tall. Every other rectangle would cross another clue, a placed patch or the edge.

  3. Tall 3 clue at row 6, column 2 → 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.

  4. Wide 8 clue at row 6, column 3 → 4×2 patch. Only one patch fits the wide rectangle (8) clue here: 4 wide × 2 tall. Every other rectangle would cross another clue, a placed patch or the edge.

  5. Square clue at row 7, column 1 → 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.

  6. Wide clue at row 2, column 4 → 4×3 patch. The outlined cell can only be reached by the wide rectangle 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.)

  7. Tall clue at row 2, column 7 → 3×5 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. (Fill it in draws the whole patch: 3 wide × 5 tall.)

  8. Square 4 clue at row 5, column 4 → 2×2 patch. Only one patch fits the square (4) clue here: 2×2. Every other rectangle would cross another clue, a placed patch or the edge.

  9. 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.

Patches #32 solution

Each colour is one patch; the clue cell shows its shape (■ square, ▮ tall, ▬ wide, ✦ any) and area.

  • wide at row 2, column 4: 4 wide × 3 tall, top-left row 1, column 1
  • tall at row 2, column 7: 3 wide × 5 tall, top-left row 1, column 5
  • wide 2 at row 4, column 1: 2 wide × 1 tall, top-left row 4, column 1
  • square 4 at row 5, column 4: 2 wide × 2 tall, top-left row 4, column 3
  • tall 2 at row 6, column 1: 1 wide × 2 tall, top-left row 5, column 1
  • tall 3 at row 6, column 2: 1 wide × 3 tall, top-left row 5, column 2
  • wide 8 at row 6, column 3: 4 wide × 2 tall, top-left row 6, column 3
  • tall at row 7, column 7: 1 wide × 2 tall, top-left row 6, column 7
  • square at row 7, column 1: 1 wide × 1 tall, top-left row 7, column 1

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