🔧 Step-by-Step Answer Walkthrough For Easy Level
The purple sum 1 square in the top-right corner is a single cell, so its pip must be exactly 1. Scan the tray: only the 5/1 tile carries a 1. That tile therefore stands vertically in the corner column, 1 in the purple cell and its 5 landing in the right-hand cell of the teal sum 10 pair below.
With a 5 already sitting in the teal pair's right-hand cell, the pair's left cell must be 5 as well to reach the target of 10. Only the 5/6 tile still has a 5, and it lies flat along the second row — 6 on the left in the pink sum 10 pair's right cell, 5 on the right in teal's left cell.
The pink sum 10 pair now holds 6 in its right cell, so its left cell needs 4. The 4/0 tile fits vertically there: 4 down in pink's left cell, 0 up in the uncoloured square in the top-left corner, which has no constraint to satisfy.
The middle row takes the 4/2 tile — 2 on the left in the orange greater 1 cell, comfortably above its target, and 4 on the right in the blue sum 10 pair's left cell. Blue's right cell therefore needs 6, which is the upper half of the 3/6 tile; the 3 drops down into the green greater 2 cell at the bottom.
🔧 Step-by-Step Answer Walkthrough For Medium Level
The blue less 1 cell sits at the centre of the board, and its single pip has to be smaller than 1 — so it is 0. Scan the tray for a 0: only the 4/0 tile has one, which means that tile lies flat across the middle row, 4 on the left in the orange equals pair's right cell and 0 on the right in the blue cell.
Every cell of an equals region takes the same pip, so with 4 now in the orange pair's right cell, its left cell must also be 4. Only the 4/2 tile can supply it, standing vertically: 4 up in the orange pair, 2 down in the upper cell of the purple sum 6 pair.
Purple sum 6 already holds 2 on top, so its lower cell must be 4. That is the left half of the 1/4 tile, lying flat across the bottom row of that corner: 4 on the left in the purple sum 6 pair's lower cell, 1 on the right in the pink sum 3 pair's left cell.
Pink sum 3's left cell holds 1, so its right cell must be 2 — the left half of the 5/2 tile, whose 5 goes right into the green sum 20 block's bottom-right cell. A four-cell block needing 20 with a 5 already in place forces every remaining cell to be 5: the 5/5 double covers the two middle cells, and the 5/4 tile stands vertically with 5 down in the block's top-right cell and 4 up in the teal equals pair's right cell.
Teal's equals pair now holds 4 on the right, so its left cell is 4 as well — the lower half of the 3/4 tile, whose 3 sits above it in the purple less 4 cell. The only unfilled cells are the pink equals pair in the top-left corner, and with the 5/5 double already used, the remaining double in the tray, 3/3, lies flat there with 3 in each cell.
🔧 Step-by-Step Answer Walkthrough For Hard Level
The orange greater 14 region on the top-right edge is three cells in a vertical line, and a multi-cell greater region beats its target as a total — these three pips need at least 15. The top cell touches only the cell beneath it, so a vertical tile covers the top two. The tray holds exactly one 6, on the 4/6 tile, and nothing else comes close to supplying that much weight, so the 4/6 stands vertically there: 4 in the top cell, 6 in the middle.
The top two cells give 10, so the column's last cell must be at least 5 — and exactly 5, since the only 6 is already used. Two tiles carry a 5, the 0/5 and the 3/5, and the blue sum 5 single cell in the upper-left also wants a 5. That blue cell's neighbours are the pink greater 0 cell above it and the pink sum 1 cell below it; if the 0/5 tile went there, its 0 would have to land in one of those two cells, and neither can take a 0. So the 3/5 tile stands vertically with 3 up in pink greater 0 and 5 down in blue sum 5, and the 0/5 tile takes the orange column: 5 in the column's bottom cell, 0 down in the right cell of the blue sum 4 pair in the bottom-right corner.
With 0 in the blue sum 4 pair's right cell, the pair's left cell must be 4. The 4/3 tile stands vertically between that cell and the orange greater 2 cell up at the right edge: 3 up in orange greater 2, and 4 down in blue sum 4's left cell.
Pink sum 1 in the left-centre must be 1. Its partner can only be the cell below it, because the cell above belongs to blue sum 5 and must be 5 — and neither 1-carrying tile has a 5. So the 1/3 tile stands vertically, 1 up in pink sum 1 and 3 down in the purple sum 9 block's bottom-right cell. That block now holds one 3 and its other three cells need 6 between them. In the top-left corner the free square's only neighbour is the purple greater 1 cell, so those two form one tile — it cannot be the 2/0, whose 0 would leave the purple block unable to reach 9. It is the 1/4: 1 in the uncoloured corner square, 4 in the purple greater 1 cell. The 2/0 then stands vertically with 2 up in the uncoloured square on the left and 0 down in the purple block's top-left cell, and the 3/3 double lies flat across the block's two bottom cells, giving 0 + 3 + 3 + 3 = 9.
On the right-centre strip the cover is forced: the teal greater 3 cell has only one neighbour, the green equals pair's left cell, and the teal greater 9 block's bottom-left cell has only one neighbour, its own top-left cell. So the green pair takes one pip from each of two different tiles. Teal greater 3 needs a pip above 3, meaning a 4 — and if the 4/4 double sat there, green would need a matching 4 beside it and the teal greater 9 block would fall short. So the 2/4 tile stands vertically, 4 up in teal greater 3 and 2 down in the green pair's left cell. Green's equals rule makes its right cell 2 as well, supplied by the 2/2 double — 2 up in green's right cell, 2 down in the teal greater 9 block's top-right cell. The last tile, the 4/4 double, stands vertically in that block's left column: 4 top and 4 bottom, so the block totals 4 + 2 + 4 = 10 and beats its target.
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