๐จ SPOILER WARNING
This page contains the final **answer** and the complete **solution** to today's NYT Pips puzzle. If you haven't attempted the puzzle yet and want to try solving it yourself first, now's your chance!
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Want hints instead? Scroll down for progressive clues that won't spoil the fun.
๐ฒ Today's Puzzle Overview
Ian Livengood opens the day with a compact easy puzzle that finds its spine in a pair of equals constraints. Rather than relying on sums, Livengood uses these twin equalities to force a logically tight chain: the two regions demand specific low numbers that lock down the available tiles. The design feels clean and instructive, a textbook demonstration of how equality constraints can anchor an entire grid without heavy arithmetic.
The medium puzzle, also from Livengood, shifts the focus to small sums and large-valued restrictions. A four-cell sum-4 region is the centerpieceโmathematically, it can only be filled with 1's, which in turn dictates the placement of the double-one domino. Combined with a greater-than-6 region that screams for the double-six, the architecture guides you to assemble the corners first before resolving the interior. It's a satisfying escalation that rewards solvers who read the constraints as a blueprint.
Rodolfo Kurchan's hard puzzle introduces a rare unequal constraint, signaling a different kind of challenge. This five-cell region, where every value must be distinct, weaves through the grid and forces a careful dance with the adjacent equals and sum regions. Kurchan layers equalities of three and four cells, a sum-0 singleton, and sum-12 and sum-10 pairs, creating a cascade of interdependencies. The result is a puzzle that feels like a precision instrument; each deduction reveals another locked-in piece. Today's NYT Pips hard is a masterclass in constraint interplay.
๐ก Progressive Hints
Try these hints one at a time. Each hint becomes more specific to help you solve it yourself!
๐จ Pips Solver
Click a domino to place it on the board. You can also click the board, and the correct domino will appear.
โ Final Answer & Complete Solution For Hard Level
The key to solving today's hard puzzle was identifying the placement for the critical dominoes highlighted in the starting grid. Once those were in place, the rest of the puzzle could be solved logically. See the final grid below to compare your solution.
Starting Position & Key First Steps
This image shows the initial puzzle grid for the hard level, with a few critical first placements highlighted.
Final Answer: The Solved Grid for Hard Mode
Compare this final grid with your own solution to see the correct placement of all dominoes.
๐ฌ Community Discussion
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