Coordinates such as r2c3 mean row 2, column 3. Count rows from the top and columns from the left.
Column 3’s candidates are r2c3 and r6c3, separated by several rows. Both lie in B. Their distance does not weaken the reservation: the required column cat must satisfy B.
r3c2 need not touch both column candidates. This is a shared-region quota argument, not a common-neighbor rule.
Green marks the cell being discussed, not a cat to place. This is the position before step 1; compare the deduction below.
Read the starting board as text
Each line is one row, left to right. Matching letters belong to the same connected region.
A A B B B B
A B B B B C
B B B B C C
B E B D C C
E E B D F C
E E B F F F
Fixed cats: row 1, column 1; row 4, column 4. One cat is required in each row, column and region.
Step-by-step walkthrough
1Use a candidate lock
Every candidate in column 3 lies in region B (row 2, column 3; row 6, column 3). Its cat must use that shared section. Exclude row 2, column 5; row 3, column 2 from the rest of region B.
Before step 1. Exclude 2 cells; then scan for a new single.
2Check row 3
row 3 has only one remaining candidate: row 3, column 6. Every other cell is excluded by earlier placements or deductions. Place the cat here.
Before step 2. Place one cat, then exclude 3 other cells.
3Check row 2
row 2 has only one remaining candidate: row 2, column 3. Every other cell is excluded by earlier placements or deductions. Place the cat here.
Before step 3. Place one cat, then exclude 1 other cells.
4Check row 5
row 5 has only one remaining candidate: row 5, column 2. Every other cell is excluded by earlier placements or deductions. Place the cat here.
Before step 4. Place one cat, then exclude 1 other cells.
5Check row 6
row 6 has only one remaining candidate: row 6, column 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.
Before step 5. Place one cat, then exclude 0 other cells.
Show solution · reveals all cat positions
The final cats satisfy every row, column and region quota, with no edge or corner contact.