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NYT Pips Answers for October 21, 2025

NYT Pips answers for October 21, 2025, a Tuesday: hints first, then the full solution for the easy, medium and hard boards. Take the hints in order and stop when you have enough — nothing below is revealed until you open it.

Today's set runs from a 10-square easy board to a 32-square hard one, a gap of 22 squares, with the hard board carrying 3 doubles against easy's 1 and 6 loose regions against 4. Constructed by Rodolfo Kurchan. Edited by Ian Livengood.

Sukie, Puzzle editor at EnergyPips

By Sukie · Puzzle editor

Easy — 10 squares, 5 dominoes

Two or more regions carry no rule at all today, which sounds generous and is not: unconstrained squares give you nothing to reason from, so the 2 sum regions have to carry the whole board.

At 10 squares this is a typical easy board — the average is 9.9 — so nothing about its size explains an unusually long or short solve.

67% of its regions are loose against a norm of 40%, so this board is vaguer than usual — there is less exact arithmetic to anchor on and more reasoning by elimination.

Its tightest sum target is 8, against a median of 5 across every board published. A high target forces large values into a small space, which narrows the options just as sharply from the other direction.

Where the information is on this board

Ordered from most constrained to least — which is the order worth working them in. No values are given away here, only how much each region can tell you.

  • = 16 (the top centre row of 3) — the pips in this region must add up to exactly 16. 2 combinations of values would satisfy it in isolation.
  • < 2 (the middle left column of 2) — the pips in this region must add up to less than 2. 2 combinations of values would satisfy it in isolation.
  • > 4 (the middle centre single square) — the pips in this region must add up to more than 4. 2 combinations of values would satisfy it in isolation.
  • = 8 (the top left column of 2) — the pips in this region must add up to exactly 8. 3 combinations of values would satisfy it in isolation.
  • no rule (the middle centre single square) — No rule. A single free square — useful as somewhere to park a value the constrained regions cannot take.
  • no rule (the bottom left single square) — No rule. A single free square — useful as somewhere to park a value the constrained regions cannot take.
Hint 1 — where to start

Start with the > 4 region — the middle centre single square — where the pips in this region must add up to more than 4. Work there first because only 2 combinations of values can fill it.

Hint 2 — what your tray forces

The tray carries 1 double: 6-6. Neither all-equal nor all-different regions appear today, so the doubles are unusually free — place them last.

Hint 3 — the opening region's values

The > 4 region resolves to 5. Which half of which domino supplies each is still yours to work out.

Full answer — easy board, October 21, 2025
How each region resolves.
RegionWhereValues
= 8the top left column of 25, 3
= 16the top centre row of 34, 6, 6
< 2the middle left column of 20, 1
no rulethe middle centre single square3
> 4the middle centre single square5
no rulethe bottom left single square5

Every tile and the squares it covers

  • 4-5 → row 1 col 2 and row 1 col 1
  • 0-3 → row 3 col 1 and row 2 col 1
  • 5-1 → row 5 col 1 and row 4 col 1
  • 3-5 → row 3 col 2 and row 3 col 3
  • 6-6 → row 1 col 3 and row 1 col 4

Rows and columns are counted from the top-left of the board, starting at 1.

Medium — 16 squares, 8 dominoes

A 16-square board across 7 regions, with 2 exact sums to anchor it and 3 looser regions to work around.

At 16 squares this is a typical medium board — the average is 14.7 — so nothing about its size explains an unusually long or short solve.

The rule mix is 2 exact sums, 2 all-equal, 2 comparison, 1 with no rule at all across 7 regions. The unconstrained regions are the ones worth noticing: they look like free squares and are actually the reason the rest of the board has to carry more weight.

Nothing here is far enough from the medium norm to explain an unusually fast or slow solve, which makes it a good board to practise the standard opening on: bound the exact sums first, work out where the doubles cannot go, then check for an orphan square before you touch a comparison region.

Where the information is on this board

Ordered from most constrained to least — which is the order worth working them in. No values are given away here, only how much each region can tell you.

  • = 21 (the middle left 4-square block) — the pips in this region must add up to exactly 21. 3 combinations of values would satisfy it in isolation.
  • < 3 (the middle centre single square) — the pips in this region must add up to less than 3. 3 combinations of values would satisfy it in isolation.
  • = 4 (the middle centre 3-square block) — the pips in this region must add up to exactly 4. 4 combinations of values would satisfy it in isolation.
  • < 3 (the middle centre column of 2) — the pips in this region must add up to less than 3. 4 combinations of values would satisfy it in isolation.
  • = (the top centre row of 2) — every pip value in this region must be the same. 7 combinations of values would satisfy it in isolation.
  • = (the middle right column of 3) — every pip value in this region must be the same. 7 combinations of values would satisfy it in isolation.
  • no rule (the bottom right single square) — No rule. A single free square — useful as somewhere to park a value the constrained regions cannot take.
Hint 1 — where to start

Start with the < 3 region — the middle centre single square — where the pips in this region must add up to less than 3. Work there first because only 3 combinations of values can fill it.

Hint 2 — what your tray forces

The tray carries 2 doubles: 2-2, 5-5. A double is the only tile that fits wholly inside an all-equal region, and there are 2 here.

Hint 3 — the opening region's values

The < 3 region resolves to 2. Which half of which domino supplies each is still yours to work out.

Full answer — medium board, October 21, 2025
How each region resolves.
RegionWhereValues
=the top centre row of 23, 3
= 21the middle left 4-square block5, 5, 5, 6
= 4the middle centre 3-square block0, 4, 0
=the middle right column of 32, 2, 2
< 3the middle centre single square2
< 3the middle centre column of 21, 1
no rulethe bottom right single square3

Every tile and the squares it covers

  • 2-6 → row 4 col 2 and row 3 col 2
  • 1-3 → row 5 col 4 and row 5 col 5
  • 0-3 → row 2 col 4 and row 1 col 4
  • 2-2 → row 3 col 5 and row 4 col 5
  • 5-4 → row 2 col 3 and row 3 col 3
  • 0-1 → row 3 col 4 and row 4 col 4
  • 5-5 → row 2 col 1 and row 2 col 2
  • 3-2 → row 1 col 5 and row 2 col 5

Rows and columns are counted from the top-left of the board, starting at 1.

Hard — 32 squares, 16 dominoes

3 doubles in a 16-tile tray is a lot, and doubles are the most constrained tiles you can be dealt. Placing them first is not a preference today, it is the route through.

At 32 squares this is 21% larger than the average hard board, which runs 26.4. More squares means more placements to keep straight at once, and a mistake made early sits underneath more correct-looking work before you find it.

38% of its regions are loose against a norm of 29%, so this board is vaguer than usual — there is less exact arithmetic to anchor on and more reasoning by elimination.

Its tightest sum target is 0, against a median of 4 across every board published. A target that low forces blanks and low values, and is usually the fastest way in.

Where the information is on this board

Ordered from most constrained to least — which is the order worth working them in. No values are given away here, only how much each region can tell you.

  • = 12 (the top left row of 2) — the pips in this region must add up to exactly 12 — and exactly one combination of values satisfies it, so it is forced.
  • = 1 (the middle centre single square) — the pips in this region must add up to exactly 1 — and exactly one combination of values satisfies it, so it is forced.
  • = 0 (the middle centre 3-square block) — the pips in this region must add up to exactly 0 — and exactly one combination of values satisfies it, so it is forced.
  • = 1 (the middle centre single square) — the pips in this region must add up to exactly 1 — and exactly one combination of values satisfies it, so it is forced.
  • = 18 (the middle centre 3-square block) — the pips in this region must add up to exactly 18 — and exactly one combination of values satisfies it, so it is forced.
  • = 3 (the middle centre single square) — the pips in this region must add up to exactly 3 — and exactly one combination of values satisfies it, so it is forced.
  • < 2 (the middle left single square) — the pips in this region must add up to less than 2. 2 combinations of values would satisfy it in isolation.
  • > 4 (the bottom centre single square) — the pips in this region must add up to more than 4. 2 combinations of values would satisfy it in isolation.
  • = 4 (the top centre row of 2) — the pips in this region must add up to exactly 4. 3 combinations of values would satisfy it in isolation.
  • < 3 (the middle right single square) — the pips in this region must add up to less than 3. 3 combinations of values would satisfy it in isolation.
  • > 9 (the top centre row of 2) — the pips in this region must add up to more than 9. 4 combinations of values would satisfy it in isolation.
  • = (the top centre row of 2) — every pip value in this region must be the same. 7 combinations of values would satisfy it in isolation.
  • no rule (the middle centre single square) — No rule. A single free square — useful as somewhere to park a value the constrained regions cannot take.
  • = (the middle centre 4-square block) — every pip value in this region must be the same. 7 combinations of values would satisfy it in isolation.
  • = (the middle centre 3-square block) — every pip value in this region must be the same. 7 combinations of values would satisfy it in isolation.
  • ≠ (the middle centre 4-square block) — no two pip values in this region may be the same. 35 combinations of values would satisfy it in isolation.
Hint 1 — where to start

Start with the = 1 region — the middle centre single square — where the pips in this region must add up to exactly 1. Work there first because exactly one combination of values can fill it, so it is fully forced before you place anything.

Hint 2 — what your tray forces

The tray carries 3 doubles: 4-4, 1-1, 2-2. With 1 all-different and 3 all-equal regions on the board, those doubles are barred from the former and are the only tiles that fit wholly inside the latter — which usually pins two of them before you make a real decision.

Hint 3 — the opening region's values

The = 1 region resolves to 1. Which half of which domino supplies each is still yours to work out.

Full answer — hard board, October 21, 2025
How each region resolves.
RegionWhereValues
= 12the top left row of 26, 6
= 4the top centre row of 22, 2
=the top centre row of 23, 3
> 9the top centre row of 25, 5
< 2the middle left single square1
no rulethe middle centre single square3
= 1the middle centre single square1
< 3the middle right single square0
≠the middle centre 4-square block4, 2, 3, 1
= 0the middle centre 3-square block0, 0, 0
= 1the middle centre single square1
= 18the middle centre 3-square block6, 6, 6
=the middle centre 4-square block4, 4, 4, 4
= 3the middle centre single square3
=the middle centre 3-square block2, 2, 2
> 4the bottom centre single square5

Every tile and the squares it covers

  • 4-4 → row 5 col 4 and row 5 col 5
  • 6-3 → row 5 col 3 and row 4 col 3
  • 0-1 → row 3 col 6 and row 2 col 6
  • 3-4 → row 2 col 3 and row 3 col 3
  • 6-1 → row 1 col 1 and row 2 col 1
  • 2-4 → row 6 col 6 and row 6 col 5
  • 4-6 → row 6 col 4 and row 6 col 3
  • 0-2 → row 3 col 5 and row 3 col 4
  • 5-6 → row 6 col 2 and row 5 col 2
  • 1-1 → row 4 col 4 and row 4 col 5
  • 3-5 → row 1 col 6 and row 1 col 7
  • 0-3 → row 4 col 6 and row 5 col 6
  • 2-2 → row 5 col 7 and row 6 col 7
  • 3-2 → row 1 col 5 and row 1 col 4
  • 2-6 → row 1 col 3 and row 1 col 2
  • 0-5 → row 2 col 8 and row 1 col 8

Rows and columns are counted from the top-left of the board, starting at 1.

Questions about this day

What is the answer to NYT Pips on October 21, 2025?
The full solution for all three boards is on this page, below the hints. 3 doubles in a 16-tile tray is a lot, and doubles are the most constrained tiles you can be dealt. Placing them first is not a preference today, it is the route through.
Can I see a hint without seeing the whole answer?
Yes. Each difficulty has three hints in order — where to start, what your tray forces, then the values in the opening region — each behind its own disclosure, with the full solution last. Nothing is revealed until you open it.
Are these the official New York Times boards?
The puzzle data is the Times’ own, and this page reports and explains the solution. EnergyPips is not affiliated with The New York Times, and the boards are not reproduced here to play — to play, go to the Times. To play a free daily domino puzzle of our own, the rest of this site is that.
Why is the hard board harder than the easy one?
On October 21, 2025 the hard board runs 32 squares across 16 regions against the easy board’s 10 and 6, and carries 6 regions that give you no exact number to work from.

About these answers

EnergyPips is an independent site and is not affiliated with, endorsed by, or connected to The New York Times. This page reports and explains the solution to a published puzzle, constructed by Rodolfo Kurchan and edited by Ian Livengood — the board itself is not reproduced here to play. To play it, go to the official NYT Pips puzzle. To play a free daily domino puzzle of our own making, with a full archive, start here.

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