🔧 Step-by-Step Answer Walkthrough For Easy Level
The orange sum-1 cell in the top-right corner is the tightest thing on the board. It has only one neighbour — the upper cell of the teal equals pair — so the tile that fills it must run in from the left, and the pip it drops there is a 1. Two tiles in the tray carry a 1, so don't commit to either one yet.
The pink equals block's bottom-left cell also has just one neighbour, the block's top-left cell. One domino has to span those two, and because equals demands matching pips it must be a double. The tray's only double is the 2/2, so the block's value is 2: the 2/2 stands vertically, 2 up in the top-left cell and 2 down in the bottom-left cell.
The purple greater-3 cell sits directly above the block's top-right cell and borders nothing else, so the same tile that drops a 2 into pink has to carry it. The 2/4 is the only remaining tile with a 2, and its 4 clears the greater-3 rule, so it stands vertically: 4 up in purple, 2 down in pink.
Three tiles left, and the bottom locks itself. The green sum-1 cell at the bottom-left is another dead end — its only neighbour is the blue pair's left cell — so the 1/3 stands vertically there, 1 down in green and 3 up in blue. The blue pair still needs 8, so its right cell takes the 5, which means the 4/5 stands vertically with 4 up in the teal pair's lower cell and 5 down in blue. That leaves the 4/1 lying flat across the top of the teal pair, 4 left in the teal's upper cell and 1 right in the orange sum-1 cell, and the teal pair reads 4 + 4.
🔧 Step-by-Step Answer Walkthrough For Medium Level
The pink greater-5 cell in the bottom-right corner needs a pip above 5, and the tray contains exactly one 6 — on the 6/3. So that tile stands vertically in the far-right column: 6 in the bottom-right corner cell, 3 up in the uncoloured square above it. Nothing else in the tray can satisfy that region.
The purple pair along the top row must total 2, and there is no 1/1 double in the tray, so its two cells are filled by two different tiles. The 0/1 and the 2/1 are the candidates, and their partners fall straight down — the 0 into the teal block's top-left cell, the 2 into the right cell of the pink sum-5 pair.
The pink sum-5 pair sits directly under the purple pair, and its right cell already holds the 2 that came down from the 2/1, so its left cell must be a 3. That is the 3/3 standing vertically: 3 up in pink's left cell, and its twin 3 down in the upper cell of the blue equals pair.
Equals makes the blue pair's lower cell a 3 as well. The 3/4 lies flat across the bottom of the pair — 3 on the left in blue, 4 on the right in the purple greater-3 cell, which is content with anything above 3. Meanwhile the teal block has 0 in its top-left cell and needs 5 across the other two: the 4/1 stands vertically at its right edge, 4 up in the top-right cell and 1 down in the bottom-right cell.
The green equals block in the bottom-left needs one tile spanning two of its cells and one pip fed from above. With the 3/3 already spent, the tray's last double is the 5/5, so that lies flat along the block's bottom row. The orange sum-4 cell above is a single cell demanding a 4, so the 4/5 stands vertically there: 4 up in orange, 5 down into the block's top-left cell. All three greens now read 5 and the orange cell reads 4.
🔧 Step-by-Step Answer Walkthrough For Hard Level
The pink sum-2 cell on the bottom row sits beside a teal sum-5 cell and below a teal sum-2 cell. Its pip must be a 2, and every 2-bearing tile except one drags a partner that those neighbours cannot accept. Only the 2/5 works, so it lies flat: 2 on the left in pink, 5 on the right in the teal cell.
With the 2/5 spent, the purple sum-5 cell at the top-left has one route left. Its neighbours are the pink sum-2 cell to the right and the green sum-3 cell below, and among the remaining 5-bearing tiles only the 3/5 can hand a partner that either one will take. It stands vertically — 5 up in purple, 3 down in green.
Five cells want a sum of 0 and the tray owns exactly five 0s, one per tile. Two of them are pinned immediately: the blue sum-0 cell in the bottom-right corner can only be reached from a sum-1 cell, so the 0/1 lies flat there (1 left in the orange sum-1 cell, 0 right in blue); and the orange sum-0 cell on the right edge only accepts a 1 or a 5 partner, which pins the 0/5 standing vertically, 0 up in orange and 5 down in the pink sum-5 cell. That forces the 0/2 into the teal sum-0 cell at the top, lying flat with 2 on the left in the pink sum-2 cell.
Now add up what is left over. The tray carries six 3s against five 3-cells, five 1s against four 1-cells, and one 6 against nothing at all. Those three surplus pips are homeless unless they go into the three uncoloured squares in the left half of the board, so those squares hold exactly a 6, a 3 and a 1.
The 6 has to sit in an uncoloured square, and the 3 riding with it must land on a cell that still wants a 3. The only neighbour of the free squares that does is the teal sum-3 cell below the middle square, so the 3/6 stands vertically: 6 up in the middle free square, 3 down in the teal cell. The spare 1 takes the free square on the left edge of that row — the 1/4, whose 4 rises into the blue sum-4 cell above — and the spare 3 takes the square directly below it, the 0/3, whose 0 drops into the pink sum-0 corner.
Everything else is now a chain of forced pairs. The 0/4 stands vertically in the centre, 4 up in the blue sum-4 cell and 0 down in the orange sum-0 cell. The 1/2 lies flat, 2 on the left in the green sum-2 cell and 1 on the right in the purple sum-1 cell. The 4/5 lies flat, 4 on the left in the purple sum-4 cell and 5 on the right in the pink sum-5 cell. The 1/5 stands vertically, 5 up in the orange sum-5 cell and 1 down in the teal sum-1 cell. The 3/4 stands vertically, 3 up in the blue sum-3 cell and 4 down in the blue sum-4 cell. The 1/3 stands vertically, 3 up in the green sum-3 cell and 1 down in the green sum-1 cell. The 2/3 stands vertically on the right, 3 up in the purple sum-3 cell and 2 down in the purple sum-2 cell. The 2/4 lies flat, 2 on the left in the teal sum-2 cell and 4 on the right in the orange sum-4 cell. And the 0/1 closes the corner, 1 on the left in the orange sum-1 cell and 0 on the right in the blue sum-0 cell.
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