Pips answers for Wednesday, December 31, 2025

Hints first, answers last — open only what you need. Puzzles edited by Ian Livengood.

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Easy Pips answer — December 31, 2025

6 dominoes · 4×5 board · by Ian Livengood

Hint 1: where to start

Start with the 18 region at the bottom: the only way to make it with these dominoes is 6 + 6 + 6.

Hint 2: the pips in each region
  • the 7 region at the left: 2, 5
  • the 8 region at the center: 4, 4
  • the 18 region at the bottom: 6, 6, 6
  • the single-cell 3 region at the right: 3
  • the “=” region at the bottom-left: 3, 3
Hint 3: step-by-step solution
  1. The 18 region at the bottom needs a total of exactly 18 — nothing else fits. Place the 3–6 domino horizontally on row 3, column 4 and row 3, column 5.
  2. The 7 region at the left needs a total of exactly 7 — nothing else fits. Place the 2–6 domino horizontally on row 3, column 2 and row 3, column 3.
  3. The 7 region at the left needs a total of exactly 7 (1 of its 2 cells is already filled) — nothing else fits. Place the 1–5 domino vertically on row 1, column 2 and row 2, column 2.
  4. Row 2, column 3 has only one open neighbor, so its domino must run to row 2, column 4; the 8 region at the center needs a total of exactly 8 — nothing else fits. Place the 4–4 domino horizontally on row 2, column 3 and row 2, column 4.
  5. Row 4, column 1 has only one open neighbor, so its domino must run to row 4, column 2; the “=” region at the bottom-left needs every pip to match — nothing else fits. Place the 3–3 domino horizontally on row 4, column 1 and row 4, column 2.
  6. Row 4, column 3 has only one open neighbor, so its domino must run to row 4, column 4; the 18 region at the bottom needs a total of exactly 18 (2 of its 3 cells are already filled) — nothing else fits. Place the 0–6 domino horizontally on row 4, column 3 and row 4, column 4.
Full answer board
78183=

Medium Pips answer — December 31, 2025

7 dominoes · 4×5 board · by Rodolfo Kurchan

Hint 1: where to start

Start with the “=” region at the top: all 3 cells must show the same number, and only 4 or 6 appear on enough dominoes to fill it.

Hint 2: the pips in each region
  • the “=” region at the top: 4, 4, 4
  • the “=” region at the right: 6, 6, 6
  • the 11 region at the center: 3, 3, 5
  • the 7 region at the right: 1, 6
Hint 3: step-by-step solution
  1. The 11 region at the center needs a total of exactly 11 — 8 placements fit here for now, but every other one leaves some region impossible a few moves later. Place the 3–3 domino vertically on row 3, column 3 and row 4, column 3.
  2. The 11 region at the center needs a total of exactly 11 (2 of its 3 cells are already filled) — 6 placements fit here for now, but every other one leaves some region impossible a few moves later. Place the 5–6 domino horizontally on row 2, column 3 and row 2, column 4.
  3. Row 3, column 4 has only one open neighbor, so its domino must run to row 3, column 5; the 7 region at the right needs a total of exactly 7 (1 of its 2 cells is already filled) — nothing else fits. Place the 1–6 domino horizontally on row 3, column 4 and row 3, column 5.
  4. The “=” region at the right needs every pip to match (1 of its 3 cells is already filled) — nothing else fits. Place the 6–6 domino vertically on row 1, column 5 and row 2, column 5.
  5. The “=” region at the top needs every pip to match — 2 placements fit here for now, but every other one leaves some region impossible a few moves later. Place the 4–4 domino horizontally on row 1, column 3 and row 1, column 4.
  6. Row 1, column 2 has only one open neighbor, so its domino must run to row 2, column 2; the “=” region at the top needs every pip to match (2 of its 3 cells are already filled) — nothing else fits. Place the 4–5 domino vertically on row 1, column 2 and row 2, column 2.
  7. Row 3, column 1 has only one open neighbor, so its domino must run to row 3, column 2 — nothing else fits. Place the 0–0 domino horizontally on row 3, column 1 and row 3, column 2.
Full answer board
==117

Hard Pips answer — December 31, 2025

11 dominoes · 5×6 board · by Rodolfo Kurchan

Hint 1: where to start

Start with the “=” region at the center: all 5 cells must show the same number, and only 3s appear on enough dominoes to fill it.

Hint 2: the pips in each region
  • the single-cell “>1” region at the top-left: 2
  • the “=” region at the top: 4, 4, 4
  • the “=” region at the top: 5, 5, 5
  • the single-cell “>2” region at the top-right: 6
  • the “=” region at the center: 3, 3, 3, 3, 3
  • the 12 region at the bottom-left: 6, 6
  • the single-cell 3 region at the bottom: 3
  • the single-cell 1 region at the bottom: 1
  • the single-cell 2 region at the bottom-right: 2
  • the single-cell 5 region at the bottom-right: 5
Hint 3: step-by-step solution
  1. The 12 region at the bottom-left needs a total of exactly 12 — nothing else fits. Place the 3–6 domino horizontally on row 5, column 2 and row 5, column 3.
  2. Row 5, column 4 has only one open neighbor, so its domino must run to row 5, column 5; the single-cell 1 region at the bottom needs a total of exactly 1 — nothing else fits. Place the 1–2 domino horizontally on row 5, column 4 and row 5, column 5.
  3. The “=” region at the center needs every pip to match — nothing else fits. Place the 3–3 domino horizontally on row 3, column 5 and row 3, column 6.
  4. Row 5, column 1 has only one open neighbor, so its domino must run to row 4, column 1; the 12 region at the bottom-left needs a total of exactly 12 (1 of its 2 cells is already filled) — 2 placements fit here for now, but every other one leaves some region impossible a few moves later. Place the 2–6 domino vertically on row 4, column 1 and row 5, column 1.
  5. The “=” region at the center needs every pip to match (2 of its 5 cells are already filled) — 3 placements fit here for now, but every other one leaves some region impossible a few moves later. Place the 1–3 domino horizontally on row 3, column 1 and row 3, column 2.
  6. The “=” region at the center needs every pip to match (3 of its 5 cells are already filled) — 2 placements fit here for now, but every other one leaves some region impossible a few moves later. Place the 3–4 domino vertically on row 2, column 3 and row 3, column 3.
  7. The “=” region at the top needs every pip to match — nothing else fits. Place the 3–5 domino vertically on row 2, column 4 and row 3, column 4.
  8. The “=” region at the top needs every pip to match (1 of its 3 cells is already filled) — nothing else fits. Place the 4–5 domino horizontally on row 1, column 3 and row 1, column 4.
  9. Row 1, column 1 has only one open neighbor, so its domino must run to row 1, column 2; the single-cell “>1” region at the top-left must total more than 1 — nothing else fits. Place the 2–4 domino horizontally on row 1, column 1 and row 1, column 2.
  10. Row 1, column 5 has only one open neighbor, so its domino must run to row 1, column 6; the “=” region at the top needs every pip to match (2 of its 3 cells are already filled) — nothing else fits. Place the 5–6 domino horizontally on row 1, column 5 and row 1, column 6.
  11. Row 5, column 6 has only one open neighbor, so its domino must run to row 4, column 6; the single-cell 5 region at the bottom-right needs a total of exactly 5 — nothing else fits. Place the 0–5 domino vertically on row 4, column 6 and row 5, column 6.
Full answer board
>1==>2=123125