🔧 Step-by-Step Answer Walkthrough For Easy Level
Four regions here are one square wide and carry a sum target: purple at the top, pink down the top-left, green at the top-right, and purple again in the bottom-right corner. A sum printed over one cell is just that cell's value, so all four read straight off the board with no reasoning at all. That's four cells locked before you place a single tile.
Four of the five tiles in the tray carry a zero, and the sum 0 regions can only be fed by those. That leaves the teal sum 12 column on the left as the one region no zero can help — it needs two sixes, and the tray holds exactly two, the 6/3 and the 6/0. Both of those tiles are now spoken for.
Teal must be all sixes, so the 6/0 can't send its 0 sideways into teal — instead the tile lies flat, 6 on the right in teal's upper cell and 0 on the left in the pink sum 0 square on the outer edge. The 6/3 covers teal's lower cell the same way, lying flat with 6 on the left and its 3 spilling right into the orange sum 8 column. Orange now needs 5 above the 3, and the 5/0 is the only tile holding a 5, so it stands upright — 5 as the lower half in orange, 0 as the upper half in the purple sum 0 square at the top.
Only the 4/0 and the 3/0 remain, and together they own the blue sum 7 column on the right. The 4/0 lies flat across the top of it, 4 on the left in blue's upper cell and 0 on the right in the green sum 0 square. The 3/0 stands vertically underneath, 3 up in blue's lower cell to complete 4+3=7, and 0 down in the purple sum 0 square at the bottom right. Board closed, every target met.
🔧 Step-by-Step Answer Walkthrough For Medium Level
Look at the bottom of the board: the uncoloured free square and the purple sum 5 square sit side by side as a two-cell island with nothing touching them. The printed 5 is the value of the right-hand half, so one tile lies flat there with a 5 on the right and its partner in the free square.
Three of the regions are equals pairs across the top and centre — purple, pink and blue. Run your eye over the tray: it contains no double at all, so no equals pair can be filled by a single tile. Each one has to be assembled from halves of two different tiles that happen to carry the same pip.
The tray's two 6s sit on the 6/5 and the 6/0, and the purple equals pair needs one of them while pink must take 5s. So the 6/5 lies flat along the top edge, 6 on the left in purple's right cell and 5 on the right in pink's left cell — it cannot stand upright, because an upright 6/5 would drop its 5 into the orange sum 3 pair just below and wreck the total. The 6/0 then stands vertically on the left edge, since laying it flat would push a 0 into pink where a 5 is required: 6 up in the top-left corner for purple, 0 down in the left cell of the orange sum 3.
Pink's second 5 comes from the 5/1, lying flat further along the row — 5 on the left completing pink, 1 on the right in the left cell of the teal less 3 pair. Teal's two cells must both come in under 3, so the second one is a 0, supplied by the 3/0 standing vertically at the far right: 0 as the upper half in teal's right cell, 3 as the lower half in the right cell of the green less 6 pair. Green already holds a 0 on its left, so it reads 0 and 3.
Blue's equals pair needs two matching pips and the tray allows a pair of 5s. The 3/5 lies flat across the middle of the row, its 3 on the left in the orange sum 3 cell (0+3=3) and its 5 on the right in blue's left cell. The 5/0 lies flat beside it, 5 on the left in blue's right cell and 0 on the right in green's left cell. Last of all the 5/2 lies flat along the bottom island — 5 on the right in the purple sum 5 square, 2 on the left in the uncoloured free square.
🔧 Step-by-Step Answer Walkthrough For Hard Level
Start top-left. The purple equals column is three cells tall, so it has to repeat one single pip three times — the strongest constraint on the board. The cell directly above its top cell is the teal sum 4 square, and a one-cell sum simply holds its target, so that cell reads 4. The tile bridging the two therefore carries a 4, and only two tiles in the tray do.
Good news for the repeated pip: the tray is deep in 6s and thin in small values. The 6/4 stands vertically with its 4 up in the teal sum 4 square and its 6 down in the column's top cell, and the 6/6 double stacks directly beneath it, filling the middle and lower cells with 6s. Three sixes locked in a row.
The purple sum 11 pair up in the corner needs a 6 and a 5, and the 5/2 supplies them: it lies flat along the top edge, 5 on the left in the sum 11 pair and 2 on the right in the pink sum 2 square. The 6/3 stands vertically just beneath it — 6 up in the lower cell of the sum 11 pair to complete the eleven, and 3 down in the upper cell of the green sum 8 pair.
Green sum 8 already holds a 3 up top, so it needs 5 more: the 5/3 stands vertically with 5 up completing the green pair and 3 down in the top cell of the orange equals pair. That pair repeats 3, so its lower cell takes the 3 half of the 3/1, which lies flat with 1 on the right in the green sum 1 square. Further down, the 0/0 double settles into the purple less 2 pair, both halves 0.
The orange sum 0 pair can only read 0 and 0, and its two zeros come from different tiles. The 0/4 stands vertically, 0 up in the pair's left cell and 4 down in the top cell of the pink equals pair. The 3/0 lies flat along the right edge, 0 on the left finishing the sum 0 pair and 3 on the right in the blue less 4 square. Pink repeats 4, so its lower cell takes the 4 half of the 4/5, which lies flat with 5 on the right in the teal sum 5 square.
The teal equals run repeats three times, and it's the same pip as the purple column — 6. The 1/6 stands vertically with 6 up in the run's left cell and 1 down in the blue greater 0 square; the 6/0 puts 0 up in the uncoloured free square and 6 down in the run's middle cell; the 6/2 adds the run's right cell with 6 above and 2 below in the green greater 1 square. The 5/1 stands vertically at the right end, 1 up in the pink less 3 square and 5 down in the orange greater 3 square, and the 1/1 double sits in the blue equals pair at the centre. That closes all nineteen regions.
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