Archive · Pips #19
Pips #19 (October 14, 2026): the three boards and their solutions
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Pips #19 is day 19 of Puzzlune Pips: three domino boards for Wednesday, October 14, 2026, Easy with 5 dominoes on a 4×4 grid, Medium with 7 dominoes on a 5×4 grid, Hard with 10 dominoes on a 6×5 grid. Every region on a board carries a rule, shown as a badge: a number means the pips inside add up to it, “=” means every pip is the same, “≠” means all different, and “<” or “>” compare the region's total to a number. Below, each board's regions are listed with what their rule demands, followed by the full placement.
Pips #19 in numbers
| Easy | 4×4 · 5 dominoes · 4 regions |
| Medium | 5×4 · 7 dominoes · 5 regions |
| Hard | 6×5 · 10 dominoes · 8 regions |
Easy: 4×4 board, 5 dominoes, 4 regions
The dominoes are 1–1, 3–6, 5–5, 6–1, 4–1: 33 pips over 10 cells. The 2 sum regions ask for 19 pips across 6 cells, so the remaining 4 cells share the other 14. 2 regions need every pip the same, which only doubles or matching halves of different dominoes can supply. The arrangement below is the unique answer.
| Region | Cells | Rule |
|---|---|---|
| = | 2 | all pips equal |
| 14 | 3 | adds up to 14 (average 4.7 per cell) |
| = | 2 | all pips equal |
| 5 | 3 | adds up to 5 (average 1.7 per cell) |
Easy board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 1–1 across row 4, columns 1–2; 3–6 across row 3, columns 2–3; 5–5 across row 1, columns 3–4; 6–1 across row 4, columns 3–4; 4–1 down column 4, rows 2–3.
Medium: 5×4 board, 7 dominoes, 5 regions
The dominoes are 6–6, 0–0, 4–4, 1–1, 1–5, 0–6, 2–1: 37 pips over 14 cells. The 2 sum regions ask for 22 pips across 6 cells, so the remaining 8 cells share the other 15. 1 region needs every pip the same, which only doubles or matching halves of different dominoes can supply. This board accepts 2 valid arrangements; one is shown below.
| Region | Cells | Rule |
|---|---|---|
| >2 | 3 | total above 2 |
| >11 | 2 | total above 11 |
| 13 | 3 | adds up to 13 (average 4.3 per cell) |
| = | 3 | all pips equal |
| 9 | 3 | adds up to 9 (average 3.0 per cell) |
Medium board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 6–6 down column 1, rows 2–3; 0–0 down column 2, rows 1–2; 4–4 across row 4, columns 2–3; 1–1 down column 4, rows 1–2; 1–5 down column 5, rows 2–3; 0–6 down column 3, rows 2–3; 2–1 down column 4, rows 3–4.
Hard: 6×5 board, 10 dominoes, 8 regions
The dominoes are 1–1, 1–6, 6–6, 2–6, 0–3, 3–6, 4–2, 4–5, 0–6, 6–5: 73 pips over 20 cells. The 5 sum regions ask for 45 pips across 12 cells, so the remaining 8 cells share the other 28. 2 regions need every pip the same, which only doubles or matching halves of different dominoes can supply. This board accepts 8 valid arrangements; one is shown below.
| Region | Cells | Rule |
|---|---|---|
| 11 | 3 | adds up to 11 (average 3.7 per cell) |
| 13 | 3 | adds up to 13 (average 4.3 per cell) |
| = | 3 | all pips equal |
| = | 3 | all pips equal |
| 6 | 2 | adds up to 6 (average 3.0 per cell) |
| 5 | 2 | adds up to 5 (average 2.5 per cell) |
| <8 | 2 | total below 8 |
| 10 | 2 | adds up to 10 (average 5.0 per cell) |
Hard board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 1–1 down column 1, rows 4–5; 1–6 across row 4, columns 2–3; 6–6 across row 3, columns 5–6; 2–6 across row 4, columns 4–5; 0–3 across row 5, columns 3–4; 3–6 across row 1, columns 1–2; 4–2 across row 1, columns 4–5; 4–5 down column 3, rows 1–2; 0–6 across row 3, columns 3–4; 6–5 across row 2, columns 4–5.
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