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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๐ฒ Today's Puzzle Overview
The NYT Pips easy grid by Ian Livengood opens on two independent deduction footholds. A single-cell sum-5 region at [3,3] demands exactly five pips, forcing the [5,6] domino to cover that cell and [3,4]. Simultaneously, a three-cell equals region in the left column forces three identical values, which only the [1,1] domino can satisfy, pinning ones into [1,0], [2,0], and [3,0]. From these anchors, the remaining equals pairs and the sum-5 at [0,1] cascade logically, resolving the grid with minimal branching.
Livengood's medium puzzle scales the complexity with a less-4 region and a sum-1 singleton. The sum-1 cell at [2,0] acts as the primary key; it must be 1, which assigns the [5,1] domino across [1,0] and [2,0], immediately satisfying the equals pair in column 0. That 5 then forces the adjacent equals pair [1,1] to also be 5, activating the [5,2] domino into the top row. The less-4 region (cells [0,3] and [0,4]) then accepts only 0โ3 pips, narrowing the remaining placements to a clean, deterministic chain.
Rodolfo Kurchan's hard grid is a dense lattice of 25 single-cell sum targets, turning the puzzle into a tightly constrained deduction graph. The many sum-0 cells (at [0,5], [3,0], [4,2], [4,3]) must be zero, immediately fixing four dominoes that contain a 0-pip, including the [0,5] and [0,4] and [0,2]/[0,3] combinations. These initial placements propagate constraints through the sum-1 and sum-3 cells in the top two rows, binding the low-value dominoes into place. What remains is a precise unlocking of the sum-9, sum-7, and sum-5 pairs in the middle rows, resulting in a pure step-by-step solve that rewards methodical chain-tracing.
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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