🔧 Step-by-Step Answer Walkthrough For Easy Level
The orange greater 5 region is a single cell in the bottom-left, wedged immediately left of the pink equals pair, and it must hold a pip above 5. Only the 6/0 tile carries a 6, so it has to lie flat right there: 6 as the left half in the orange cell, 0 as the right half next door in the pink equals pair's lower cell.
The teal less 1 region on the right has three cells and every one of them must sit below 1, so all three read the same tiny pip. The 0/0 double lies flat across its top row — 0 on the left, 0 on the right — and the 5/0 tile supplies the third: 0 as the right half in the cell tucked under the block's left end, 5 as the left half in the uncoloured square at the bottom centre.
The pink equals pair's lower cell already holds 0 from the 6/0 tile, so its upper cell must be 0 as well. The only remaining tile that carries a spare 0 alongside a 1 is the 0/1, and it stands upright: 1 as the upper half in the top-left uncoloured square, 0 as the lower half in the pink pair's upper cell.
Only the 2/2 double is left, and the purple equals pair along the top edge needs two matching pips, so it lies flat across both of its cells: 2 on the left, 2 on the right. Final board: teal reads 0/0/0, orange 6, pink 0/0, the free squares hold 1 and 5, and the purple pair shows 2 and 2.
🔧 Step-by-Step Answer Walkthrough For Medium Level
The teal sum 2 cell in the middle-left and the pink sum 2 cell in the bottom-right corner are one-cell regions, so their pip is their sum: both will read 2. Which tile supplies each becomes obvious once the pairs around them are settled.
The orange equals pair on the left and the blue sum 8 pair on the right touch at the centre of the board, and the 5/5 double lands exactly on that boundary: 5 as the left half in the orange pair's right cell, 5 as the right half in the blue pair's left cell. Orange now has to match, so the 5/0 tile stands upright at its left end — 5 as the lower half in the orange pair's left cell, 0 as the upper half in the uncoloured free square. The blue pair's right cell now needs a 3 to reach 8.
The 3/3 double stands upright on the right, straddling the blue pair and the pink greater 8 pair: 3 as the upper half in the pink pair's lower cell, 3 as the lower half in the blue pair's right cell. Blue now totals 5+3, and the pink greater 8 pair is left waiting for one large pip in its upper cell.
The 4/6 tile lies flat across the top, bridging the purple less 5 pair and the pink greater 8 pair: 4 as the left half in the purple pair's upper cell, 6 as the right half in the pink pair's upper cell, which takes pink past 8. Then the 2/0 tile slides in underneath: 2 as the left half in the teal sum 2 cell, 0 as the right half in the purple pair's lower cell, so the purple pair reads 4+0 — comfortably under 5.
The 3/6 tile lies flat along the bottom: 3 as the left half in the green less 4 corner cell, 6 as the right half in the left cell of the bottom purple equals pair. The 6/2 tile then completes that pair and the pink sum 2 corner at once — 6 as the left half in the purple pair's right cell, 2 as the right half in the pink sum 2 cell. Full board: uncoloured 0, teal 2, purple 4/0, pink 6/3 on top; orange 5/5 and blue 5/3 in the middle; green 3, purple 6/6 and pink 2 across the bottom.
🔧 Step-by-Step Answer Walkthrough For Hard Level
The purple sum 0 cell near the top and the blue sum 0 cell on the left edge are single-cell regions, so each takes exactly one pip, and only 0 fits. Notice too that the pink sum 5 cell sits directly above the blue sum 0 cell, which means one upright tile can serve both.
That tile is the 0/5, standing vertically: 5 as the upper half in the pink sum 5 cell, 0 as the lower half in the blue sum 0 cell. One row below and to the right of it, the 6/5 tile lies flat — 6 as the left half in the uncoloured square, 5 as the right half in the green sum 5 cell — which means the top-left corner is now the only place a 6 can still go.
The purple equals run on the right edge needs three identical pips, so it takes the 6/6 double lying flat across its middle and right cells plus a matching 6 from the 6/3 tile. That tile stands vertically, 6 as the upper half in the run's left cell and 3 as the lower half in the top-left cell of the pink sum 10 block. The 4/3 tile lies flat along the bottom of that block, 4 on the left and 3 on the right, so the block reads 3+4+3. Below it the teal equals pair takes the 0/0 double standing upright, 0 above and 0 below.
The 1/6 tile lies flat along the very top: 6 as the left half in the top cell of the purple sum 8 pair, 1 as the right half in the left cell of the pink sum 4 pair. The 2/2 double stands upright beneath the 6, 2 as the upper half in the purple pair's lower cell and 2 as the lower half in the uncoloured square below, completing the sum of 8. The 3/5 tile then stands upright one column further right: 3 as the upper half in the pink sum 4 pair's right cell, making 1+3, and 5 as the lower half in the blue sum 5 cell.
The teal unequal column needs three different pips. The 2/6 tile stands vertically with 6 as the upper half in the column's top cell and 2 as the lower half in the middle cell, and the 0/3 tile lies flat with 3 as the left half in the column's lowest cell and 0 as the right half in the purple sum 0 cell — 6, 2 and 3, all different. To its right the 2/0 tile lies flat across the orange sum 2 pair, 2 left and 0 right. In the centre the 1/4 tile stands upright in the orange sum 5 pair, 1 upper and 4 lower, while the 3/2 tile stands upright between the green sum 3 cell and the teal greater 1 cell, 3 above and 2 below.
Every tile is now placed: 1/6 and 2/2 and 3/5 stack through the top-left corner (purple 6/2, pink 1/3, blue 5, the 6/5 flat beside the uncoloured square); 2/6, 0/3 give the teal column 6/2/3; 2/0 fills the orange sum 2 pair; 0/5 serves pink 5 and blue 0 on the left edge; 1/4 fills the orange sum 5 pair; 3/2 links green 3 to teal's greater-1 cell; and the bottom-right runs 6/3, 6/6, 4/3 and 0/0 to complete the purple equals run of three 6s, the pink sum 10 block of 3+4+3 and the teal equals pair of 0s.
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