🔧 Step-by-Step Answer Walkthrough For Easy Level
The purple cell in the top-left corner must sum to 1, and a single cell can only reach 1 by holding a 1. Only the 6/1 tile carries a 1, so it stands vertically there: the 1 sits in the purple cell and the 6 is pushed down into the pink cell beside the centre, which belongs to a sum-10 pair.
With a 6 already inside the pink pair, its right-hand cell must be a 4. The 4/4 double is the obvious candidate, and it fits perfectly — standing vertically so its upper 4 lands in the pink pair while its lower 4 drops into the orange greater-2 cell directly beneath, clearing that constraint in the same move.
The teal pair down the left side needs two identical pips. With the 4/4 and the 6/1 spent, the tray's remaining tiles are 0/2, 0/5 and 6/5, and only the two zero-carrying tiles can make an equals pair. So the 0/2 tile stands vertically with 0 in the teal pair's left cell and 2 up in the uncoloured free square, and the 0/5 tile stands vertically with 0 in the teal pair's right cell and 5 down in the blue sum-10 pair beneath.
The blue sum-10 pair already holds a 5, so its other cell needs another 5 — and the only tile left carrying a 5 is 6/5. It lies flat along the bottom row: 5 on the left in the blue pair's right cell, 6 on the right in the green greater-1 corner, which the 6 clears comfortably.
🔧 Step-by-Step Answer Walkthrough For Medium Level
The equals region at the top-left is two cells wide, so a double fills it in one move and nothing else has to agree. The 3/3 is the natural fit: it lies flat across the pair, 3 on the left and 3 on the right, spending one of the tray's two doubles right away.
The other equals region, on the top-right, cannot be a double — it has to be built from two separate tiles carrying a matching pip. The tray holds exactly two tiles with a 1 on them, the 1/4 and the 1/2, so both are spent here. The 1/4 stands vertically, its 1 as the lower half in the teal pair's left cell and its 4 as the upper half in the right cell of the top purple greater-9 pair. The 1/2 stands vertically at the right, its 1 as the upper half in the teal pair's right cell and its 2 dropping into the upper cell of the green sum-6 pair.
The orange cell on the left must hold a value below 3. The 5/2 tile's 2 is looking for exactly that home, and its 5 is the perfect partner for the blue sum-9 pair to its right. The tile lies flat: 2 in the orange cell, 5 in the blue pair's upper cell.
Blue's sum-9 pair now needs a 4 in its lower cell, and the green sum-6 pair above has a 2 in its upper cell, so it also needs a 4 below. The 4/4 double lies flat along the bottom row and covers both: its left 4 in the blue pair's lower cell, its right 4 in the lower cell of the green pair.
Two tiles remain, 6/4 and 6/5, and both greater-than-9 pairs need to beat nine. The 6/4 lies flat in the bottom-left purple pair — 4 on the left, 6 on the right. The 6/5 lies flat across the top, its 6 on the right in the purple pair's left cell and its 5 on the left in the uncoloured free square at the top-left corner of the board.
🔧 Step-by-Step Answer Walkthrough For Hard Level
The teal sum-6 cell on the right of the board, in the fourth row down, is the single most demanding square on the grid. Exactly one tile in the tray carries a 6 — the 3/6 — so the pair settles immediately: 6 in the teal cell, 3 to its right in the orange sum-3.
Five cells on this board demand a sum of zero, which is the strongest clue a single square can carry. Scan the tray and you find exactly five tiles with a 0 on them — 0/1, 0/2, 0/3, 0/4 and 0/5 — and since no tile carries two zeros, each one is committed to a different zero cell. Nothing else can move until you know which zero goes where.
Start at the top: the pink sum-3 and the teal sum-0 beside it in the top row are neighbours, and the 0/3 tile fits them exactly — 3 on the left in the pink cell, 0 on the right in the teal one. One column further right, the 0/4 tile stands vertically, 4 up in the orange sum-4 and 0 down in the teal sum-0 beneath it. On the left of the second row, the blue sum-4 cell and the green sum-4 next door both need a 4, and since this tray owns no doubles the horizontal pairing is impossible — the blue cell takes its 4 vertically, with the 2/4 tile standing 4 up and 2 down in the blue sum-2 below. The 3/4 tile then stands in the next column to the right, 3 up in the purple sum-3 on the top row and 4 down in the green sum-4.
With the second row's 4s placed, the rest of that row sorts itself: the purple sum-2 and the pink sum-1 beside it take the 1/2 tile lying flat, 2 on the left and 1 on the right, and the 0/2 tile stands at the right edge with 0 up in the orange sum-0 and 2 down in the orange sum-2 of the row below. In the third row, the 0/1 tile lies flat across the middle — 0 on the left in the green sum-0, 1 on the right in the purple sum-1 — and the 1/3 tile lies flat further along, 1 on the left in the pink sum-1 and 3 on the right in the teal sum-3.
Two more placements follow from the numbers left in the tray. The 2/3 tile stands in the middle of the lower half, 3 up in the pink sum-3 and 2 down in the pink sum-2 beneath it. The 0/5 tile stands below the centre, 0 up in the purple sum-0 and 5 down in the green sum-5 at the bottom of the board.
What remains is a straight matching exercise. The 4/5 tile stands vertically at the far left, 5 up in the blue sum-5 and 4 down in the blue sum-4. The 3/5 tile lies flat in the fourth row, 5 on the left in the green sum-5 and 3 on the right in the purple sum-3. The 1/4 tile stands vertically on the left, 1 up in the green sum-1 and 4 down in the blue sum-4 of the bottom row. The 2/5 tile lies flat, 2 on the left in the teal sum-2 and 5 on the right in the orange sum-5. Finally the 1/5 tile lies flat along the bottom, 1 on the left in the purple sum-1 and 5 on the right in the pink sum-5.
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