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!
Click here to play today's official NYT Pips game first.
Want hints instead? Scroll down for progressive clues that won't spoil the fun.
๐ฒ Today's Puzzle Overview
Ian Livengood's easy NYT Pips puzzle is anchored by a pair of rigid constraints: a single-cell sum-3 at the top-left corner and an equals region spanning the top row. These two footholds interact immediately, as the sum-3 forces a domino to deliver a 3 to [0,0], which cascades into placing a 6 in the equals region via a complementary domino. The deduction graph is linear: the equals region resolves, a sum-0 block mandates the all-zero domino, and a vertical sum-10 column integrates with a bottom sum-3 to place the final dominos in a clean, sequential chain.
Livengood's medium puzzle presents a more interleaved structure. A sum-15 row across three cells at the bottom forces a trio of 5s, immediately locking the [5,5] and [5,4] dominos. This ripples upward: the 4 in the equals region of row 2 forces the [4,1] domino, which satisfies a less-2 cell, and a sum-13 region in the same row pulls in the [1,1] and [6,6] dominos. The top region then folds in with a greater-4 constraint and an equals pair, resolved by the remaining [5,2] and [4,2] dominos. The deduction is a alternating horizontal sweep across constraints.
Rodolfo Kurchan's hard puzzle is a densely coupled system of sum-1 single-cell regions, a four-cell equals block, and multiple sum-11 zones. Numerous 1s are forced by the sum-1 cells, beginning with the [1,1] domino covering the top pair. The equals blockโspanning [5,0],[5,1],[6,1],[6,2]โdemands a value repeated four times, which can only be 3 given the available pips and domino counts, pulling in the [3,3], [3,6], and [3,1] dominos in a cascading sequence. The sum-11 regions then interlock with these placements, as the 6s and 5s from the domino distribution satisfy the column and pair sums. The solving graph is a web with multiple simultaneous threads, but the sum-1 anchors and the equals block form the backbone that stabilizes the rest.
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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