🔧 Step-by-Step Answer Walkthrough For Easy Level
Every cell of the purple equals run near the top has to show the same pip, so tally the five tiles first. The 3 appears twice and the 5 appears twice, but only the 4 appears three times. That settles the run: three 4s. The 4/4 double lies flat across the run's left and middle cells.
The free square tucked into the top-left corner touches exactly one other cell — the orange greater-0 cell just below it. Those two must be one domino. The 5/1 stands upright there, 5 in the free corner square and 1 in the orange cell (which is happy, since it only needs to beat zero).
The run's third cell now takes the 4 from the 4/2, standing vertically so its 2 drops into the pink sum-5 pair. Down at the bottom-right the free square is another dead end — it touches only the pink's right cell — so the 3/3 double stands upright there, 3 up in the pink and 3 down in the free square. The pink then reads 2 + 3, exactly its target.
Only the 0/5 remains, and the two open cells are the left free square and the teal sum-5 cell beside it. The tile lies flat, 0 in the free square and 5 in the teal cell, which meets its target outright. Every region checks out: equals 4/4/4, pink 5, teal 5, orange above 0.
🔧 Step-by-Step Answer Walkthrough For Medium Level
The orange less-2 cell on the left edge has just one neighbour — the lower cell of the teal greater-9 column. Those two are therefore a single domino. The 0/5 lies flat there, 0 in the orange cell and 5 to its right in the teal's lower cell.
With a 5 already in the column's lower cell, the upper cell has to push the total past 9. It pairs with the blue cell to its right across the top, and a 6 there would force a 0 into blue, which could never beat 8. So the 5/5 double lies flat: left half in the teal's upper cell, right half in blue's left cell — 5 + 5 = 10.
Blue sits on 5 in its left cell, so its right cell needs a 4 to reach 9. The 4/2 supplies it, lying flat with 4 in blue and 2 continuing right into the pink equals pair at the top-right. Pink now demands a 2 in its outer cell, and the 2/3 stands vertically to deliver it — 2 up in the pink, 3 down in the purple sum-5 below.
The purple sum-5 pair is holding a 3, so its other cell needs 2. The 2/0 stands vertically, 2 in the sum-5's left cell and 0 dropping into the purple equals pair at the bottom-right. That equals pair now owns a second 0: the 6/0 lies flat beneath the green, 6 in green's lower cell and 0 in the equals pair's left cell.
Green's sum-8 pair already holds 6, so its upper cell needs 2. The 2/2 lies flat: left half in green's upper cell, right half stepping right into the single pink sum-2 cell in the middle of the board. That closes every region — teal 10, blue 9, orange below 2, both equals pairs matching, and all three sums on target.
🔧 Step-by-Step Answer Walkthrough For Hard Level
Because every region is a single-cell sum, each cell's pip is simply its target. Tally those targets and you get five 0s, five 1s, five 2s, six 3s, five 4s and five 5s, with one cell left over — and that is precisely the tray, tile for tile. So there is no arithmetic left to do; the whole puzzle is deciding which neighbours may be joined.
The 3/6 is the tray's sole 6, and every coloured cell is pinned to a value of 5 or less, so the 6 can only occupy the uncoloured free square on the left edge. The tile's other half must be a 3, and of that square's two neighbours only the blue sum-3 cell on the right wants one. The 3/6 lies flat: 6 in the free square, 3 in blue beside it.
Five tiles carry a zero (0/1 through 0/5) and there are exactly five sum-0 cells, so each zero lands in one of them and its partner must match a neighbouring label. The purple sum-4 corner at the top-left is the cleanest: both of its neighbours want a 2, so the 2/4 lies flat along the top, 4 in the purple corner and 2 in the pink sum-2 to its right.
The teal sum-5 and the orange sum-0 next to it take the 0/5 lying flat, 5 on the left in teal, 0 on the right in orange. At the far top-right the 1/4 stands upright, 1 up in the blue sum-1 and 4 down in the orange sum-4. On the left edge of the second row the 1/2 stands vertically, 2 up in the green sum-2 and 1 down in the blue sum-1; the 0/1 lies flat to its right, 0 in the purple sum-0 and 1 in the pink sum-1; and the 1/5 stands vertically, 1 up in the teal sum-1 and 5 down in the pink sum-5.
In the third row the 3/5 lies flat, 3 in the green sum-3 and 5 in the upper of the two centre purple sum-5 cells; the 0/3 lies flat across the right side, 3 in the teal sum-3 and 0 in the orange sum-0 at the edge. Row four opens with the 3/6 already placed, then the 0/2 stands vertically, 0 up in the green sum-0 and 2 down in the blue sum-2. Further right the 4/5 lies flat, 5 in the lower centre purple sum-5 and 4 in the pink sum-4, and the 3/4 stands upright on the right edge, 4 up in the teal sum-4 and 3 down in the pink sum-3.
Bottom-left, the 0/4 stands vertically: 0 up in the orange sum-0, 4 down in the teal sum-4. Beside it the 2/3 lies flat, 3 in the green sum-3 and 2 in the purple sum-2 to its right. On the last row the 1/3 lies flat with 1 in the orange sum-1 and 3 in the blue sum-3, and the 2/5 finishes the board, 5 in the green sum-5 and 2 in the purple sum-2 at the far bottom-right corner.
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