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
In today's NYT Pips easy, Ian Livengood constructs a compact puzzle around a triple-equals region that demands a single-value domino. That demand funnels the solver toward the [4,4] domino, which then interlocks with a sum-4 region requiring a zero entry point and a sum-2 region that pulls in the [0,0] and [2,6] dominoes. The entire grid becomes a tidy mechanical proof โ each piece clicks into place with no ambiguity, showcasing Livengood's skill at packing logical necessity into a small space.
Rodolfo Kurchan's medium puzzle pivots on a deceptively simple single-cell sum-3 in the lower left. That lone cell forces a [3,2] domino, which ripples outward through a sum-4 pair, a sum-11 pair, and an interlocking set of greater- and less-than constraints. Kurchan turns a modest grid into a chain reaction, where every subsequent deduction follows from the one before, giving the puzzle a breezy but deeply logical rhythm.
For the hard, Kurchan orchestrates three separate equals regions โ a column of three sixes on the right, a cluster of three fours in the middle, and a pair of threes at bottom right โ threaded through sum-9 and sum-8 top-row constraints. The [6,6] domino naturally anchors the rightmost column, while a [0,6] at top-left sets off a calculation that resolves the entire top edge. The puzzle exemplifies Kurchan's ability to weave multiple constraint types into a cohesive, interlocking narrative that rewards methodical deduction.
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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