🔧 Step-by-Step Answer Walkthrough For Easy Level
The purple sum-2 run across the top needs three cells to total two. Pips cannot go below zero, so at least two of those three cells must read 0 — and the tray contains exactly one tile with a zero on it, the 0/0 double. A double covers two adjacent cells, so both zeros sit side by side inside the run. Now check which pair: the run's right-hand cell touches only one other cell on the whole board, so the double is forced flat across the run's middle and right cells, leaving the left-hand cell to hold the 2.
The 2 in the purple run's left-hand cell sits in the same column as the right-hand cell of the pink sum-10 pair, and that cell's only available partner is the 2's own tile — the 4/2, standing vertically with 2 up in the purple run and 4 down in the pink pair. Pink now needs ten across two cells, so its left-hand cell must be a 6, and the only sixes in the tray are on the 6/6 double. It stands vertically down the left edge, upper half in the pink pair, lower half in the uncoloured free square beneath.
That leaves the teal sum-8 pair, the uncoloured free square above it and the single orange greater-2 cell. The orange cell touches only the teal pair's right-hand cell, so those two form one vertical tile. Teal still has to reach 8, which rules out any small pairing: the 5/3 goes there, 5 upper in the teal pair and 3 lower in the orange cell, comfortably clearing the greater-than-2 bar. The remaining 3/2 then stands vertically in the middle, 3 lower in the teal pair's left-hand cell and 2 upper in the free square above it — teal finishes at 3 + 5 = 8.
Top row: purple sum-2 reads 2, 0, 0, the 0/0 double lying flat across its middle and right cells. Second row: pink sum-10 reads 6 and 4, the 6/6 standing vertically down the left edge and the 4/2 standing vertically beside it with 4 as its lower half; the uncoloured free square below the purple run's right end holds the 2 from the 3/2 rising out of teal. Left column: the uncoloured free square holds the 6/6's lower half. Teal sum-8 reads 3 and 5, with the 5/3's 3 dropping into the orange greater-2 corner in the bottom-right.
🔧 Step-by-Step Answer Walkthrough For Medium Level
Start with the purple sum-10 pair in the bottom-right, two cells that must total ten. A 4/4 placed there would only produce eight, and a six-plus-four split cannot work either: the tray's only two fours are locked together on the 4/4, so putting one of them inside the region would drag the other in as well. That leaves the 5/5, standing vertically with 5 in the upper cell and 5 in the lower.
Only two doubles exist in this tray — the 5/5 just spent and the 4/4. The teal equals pair on the left of the second row needs two identical pips, and the 4/4 laid flat across it satisfies both at once: 4 in the left-hand cell, 4 in the right-hand cell.
The blue sum-12 running down the left edge is two cells, and the only way to reach twelve is two sixes. The tray holds exactly two sixes, one on the 6/1 and one on the 6/2, so both tiles must feed this column. The 6/1 lies flat, 6 in the column's upper cell and 1 stepping right into the green equals pair in the centre. The 6/2 lies flat along the bottom row, 6 in the column's lower cell and 2 stepping right into the pink sum-5 pair.
Green equals now has one cell filled with a 1 from the 6/1, so the other cell must also be 1. The only remaining route is the 1/3 standing vertically, 1 in the green pair and 3 dropping into the pink sum-5 pair below. Pink already holds the 2 from the 6/2, and 2 + 3 = 5 confirms it.
Two single-cell constraints remain at the top-right: the pink less-2 and the orange less-4. The 5/0 lies flat across the top, its 5 settling into the upper cell of the purple equals column and its 0 into the pink less-2 — the tray's only zero, and safely under the limit. The last tile, the 2/5, lies flat one row lower: its 5 completes the purple equals column as the lower cell, matching the 5 above, and its 2 sits in the orange less-4 cell. Final board: teal equals 4, 4; blue sum-12 = 6 + 6; green equals 1, 1; purple sum-10 = 5 + 5; pink sum-5 = 2 + 3; purple equals column 5, 5; pink less-2 = 0; orange less-4 = 2.
🔧 Step-by-Step Answer Walkthrough For Hard Level
The orange sum-24 column down the left side is four cells tall and the largest pip is 6. Four sixes is exactly 24, so this region has one reading and one only. Further down the board, the teal sum-0 cell is its mirror image: a single cell that can only read 0.
Four sixes have to come from the tray. The 6/6 double supplies two adjacent ones, and the remaining two live on the 2/6 and the 3/6. The 6/6 stands vertically in the column's bottom two cells. The 2/6 stands vertically, its 6 in the column's top cell and its 2 up in the purple sum-11 block. The 3/6 lies flat, its 3 in the green greater-2 cell beside the column and its 6 stepping right into the column's second cell.
The purple block in the top-left holds four cells and already shows a 2 from the 2/6. The remaining nine pips over three cells come from the 3/3 laid flat across the block's top-left and top-centre cells, plus a 3 from the 3/4 standing vertically in the block's bottom-left cell. The 3/4's other half, a 4, falls into the upper cell of the blue equals pair below.
Blue equals needs its lower cell to match the 4 above it, and whatever tile supplies that 4 must also drop a value greater than 4 into the orange corner directly beneath. The 4/6 does both: standing vertically, 4 in the blue pair's lower cell and 6 in the orange greater-4 cell in the bottom-left corner.
The pink equals block on the right is a three-cell L. The 4/4 lies flat across its top two cells, giving 4 and 4, and the 2/4 stands vertically to fill the block's bottom-right corner with a 4, its 2 dropping into the right-hand cell of the green less-5 pair. Lower down, the 4/0 stands vertically: 0 in the teal sum-0 cell and 4 in the left-hand cell of the blue less-7 pair.
Purple sum-11 reads 3, 3, 2 across the top plus 3 at its bottom-left. Top row: pink less-2 holds 1 and the uncoloured square beside it holds 2, the 1/2 lying flat; teal sum-7 reads 2 and 5 from the 2/5 lying flat. Orange sum-24 column reads 6, 6, 6, 6 top to bottom. The uncoloured square above the purple sum-5 holds the 4 of the 4/5, whose 5 sits in the sum-5 cell directly below. Blue equals reads 4 and 4. The green greater-2 cell holds 3. Pink equals block reads 4, 4 across the top and 4 in its bottom-right corner. Teal sum-0 holds 0. The orange greater-4 corner holds 6. Blue less-7 reads 4 and 2, and green less-5 reads 2 and 2, the 2/2 lying flat across the gap between them.
💬 Community Discussion
Leave your comment